4x(5x+3)
Find the product

Answers

Answer 1

Answer:

[tex]20x^{2} + 12x[/tex]

Step-by-step explanation:

We can expand this equation:

(4x * 5x) + (4x * 3)

= [tex]20x^{2} + 12x[/tex]

If simplified/factored further, we can take out the common variable, x, as well as 4, which is a common number shared between 20 and 12:

4x(5x + 3)


Related Questions

A chemist has a 25% and a 50% acid solution. How much of each solution should be
used to form 200 ml of a 35% acid solution?

P.S: no decimal is used in this solving. For example 0.25, 0.50, and 0.35 is converted to 25%, 50% and 35%.

Answers

The required amount each type of solution to make mixture are  120 ml of 25% acid and 80 ml of 50% acid.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Explain Acid solution.

A liquid mixture known as an acidic solution is created when water and hydrogen ions react. The Brnsted-Lowry theory states that whereas bases "receive" hydrogen protons, acids "give" hydrogen protons. Different solutions have different levels of acidity.

According to question:

Let there be (200 - x) ml of 50% acid and x ml of 25% acid.

200*0.35 = 0.25x+0.5(200-x)

0.25x +100 -0.5x = 70 

30 = 0.25x 

x=120

200 - x = 200 - 120 = 80, resulting in 120 ml of 25% acid and 80 ml of 50% acid.

To know more about Percentage visit:

brainly.com/question/16797504

#SPJ1

For the mixture, 120 ml of 25% acid and 80 ml of 50% acid are needed for each type of solution.

What is a percentage?A percentage is a term used in mathematics to describe a value or ratio that may be expressed as a fraction of 100. If we need to calculate a percentage of a number, we should first divide it by 100 before multiplying it by the remainder. Therefore, the percentage refers to a component per 100. The word percent simply means "per 100." Its symbol is the letter "%."Describe Acid solution.Water and hydrogen ions react to form an aqueous mixture known as an acidic solution. According to the Brnsted-Lowry theory, while bases "get" hydrogen protons, acids "give" them. Acidity levels vary among various solutions.Let's say there are (200 - x) ml of 50% acid and x ml of 25% acid.200*0.35 = 0.25x+0.5(200-x) (200-x)0.25x +100 -0.5x = 7030 = 0.25xx=120200 minus x equals 200 minus 120 equals 80, yielding 120 ml of 25% acid and 80 ml of 50% acid.

To learn more about percentage refer:

brainly.com/question/16797504

#SPJ1

Which phrase represents this expression?

7 × 4 + 3

Responses

3 more than the product of 7 and 4
the product of 7 and the sum of 4 and 3
the product of 7 and the difference of 4 and 3
3 less than the product of 7 and 4

Answers

Answer:

The Answer is 49

Step-by-step explanation:

4+3 =7 and 7 x 7 = 49

hope this helps

F(-7, 12) and G(3, -8)

Answers

The coordinates of the midpoint M of the segment FG is (-2,2).

This question is incomplete, the complete question is;

What is the midpoint M of a line having two endpoints F(-7, 12) and G(3, -8),

What is the coordinates of the midpoint M of the segment FG?

The midpoint formula is expressed as;

M = ( (x₁+x₂)/2, (y₁+y₂)/2 )

Given the data in the question;

Point F (-7, 12)

x₁ = -7y₁ = 12

Point G (3,-8)

x₂ = 3y₂ = -8

To determine the midpoint, plug the given points into the formula above and simplify.

M = ( (x₁+x₂)/2, (y₁+y₂)/2 )

M = ( (-7 + 3 )/2, ( 12 + (-8) )/2 )

M = ( ( -4 )/2, ( 12 - 8 )/2 )

M = ( ( -4 )/2, ( 4 )/2 )

M = ( -2, 2 )

Therefore, the  midpoint M of the segment is (-2,2)

Learn more about the midpoint formula here: brainly.com/question/14687140

#SPJ1

The citizens of Herrington County have an existing dog
park for dogs to play, but have decided to build another
one so that one park will be for small dogs and the other
will be for large dogs. The plan is to build a rectangular
fenced in area adjacent to the existing dog park, as
shown in the sketch. The county has enough money in
the budget to buy 1000 feet of fencing.

What should the dimensions of the dog park be to maximize the area?What is the maximum area of the park?

Answers

To maximise the area it should be build as a square having side=250 feet each and having area=62500 feet.

what are squares?

A square is a two-dimensional plane figure with four equal sides and all four angles are equal to 90 degrees. The properties of the rectangle are somewhat similar to a square, but the difference between the two is, a rectangle has only its opposite sides equal. Therefore, a rectangle is called a square only if all its four sides are of equal length.

The most important properties of a square are listed below:

All four interior angles are equal to 90°.All four sides of the square are congruent or equal to each other.The opposite sides of the square are parallel to each other.The diagonals of the square bisect each other at 90°.The two diagonals of the square are equal to each other.The square has 4 vertices and 4 sides.The diagonal of the square divides into two similar isosceles triangles.The length of diagonals is greater than the sides of the square.

Area of square=(side)²

Perimeter of square=4*side

Now,

Given

total fencing available=1000feet

perimeter=1000

4*s=1000

s=250 feet

Therefore,

Area=250^2

=62500 feet^2

To know more about squares visit the link

https://brainly.com/question/28776767?referrer=searchResults

#SPJ1

Multiply the complex numbers below and simply your answer. Show work.
(3i-2)(51-6)

Answers

Step-by-step explanation:

(3i-51)*(2-6)

(-48) (-4)

192

can someone help me with this, please

Answers

Equations -7 x+7 y = 11  and -4 x + y = 11 have answers of [tex]x=-\frac{11-7 y}{7}$$[/tex] and [tex]x=-\frac{11-y}{4}$$[/tex], respectively.

What do you meant by solving an equation ?

solve for [tex]$x,-7 x+7 y=11 \quad: \quad x=-\frac{11-7 y}{7}$[/tex]

-7 x+7 y = 11

-7 x = 11 - 7 y Shift 7 y to the right side and subtract 7 from both sides.

[tex]\frac{-7 x}{-7}=\frac{11}{-7}-\frac{7 y}{-7}$$[/tex]

Simplify

[tex]x=-\frac{11-7 y}{7}$$[/tex]

solve for [tex]x,-4 x+y=11: x=-\frac{11-y}{4}$[/tex]

Adjust Y to the right by -4 x=11-y.

Divide -4 from both sides.

[tex]\frac{-4 x}{-4}=\frac{11}{-4}-\frac{y}{-4}$$[/tex]

Simplify

[tex]x=-\frac{11-y}{4}$$[/tex]

Finding an equation's solutions—which are the values (numbers, functions, sets, etc.) that satisfy the equation's condition—is known as solving an equation in mathematics. An equation often consists of two expressions connected by an equals sign. One or more variables are marked as unknowns in order to find a solution.

To lean more about equations refer to :

https://brainly.com/question/25976025

#SPJ1

Given the triangle below, what is the value of x?

Answers

All triangles equal 180 degree.
Given, you have 55 degree and 70 degree.
180 degree - 55 degree = 125 degree
125 degree - 70 degree = 55 degree remaining.
Now we know the remaining angle equals 55 degree
55 degree = 9x + 10
55 - 10 = 9x
45 = 9x
x = 45/9
x = 5

claim sizes are 100, 1200, 1800, 2000, 3000 and 5000. the true probabilities are 0.5, 0.2, 0.1, 0.1, 0.05, 0.05, respectively. determine the coefficient of variations, skewness and kurtosis of the observations.

Answers

The coefficient of skewness is 0 and coefficient of Kurtosis is 0.125.

A coefficient is a number or any symbol representing a constant value that is multiplied by the variable of a single term or the terms of a polynomial. It is usually a number, but sometimes may be replaced by a letter in an expression. For example, in the expression: ax2 + bx + c, x is the variable and 'a' and 'b' are the coefficients.

coefficient refers to a number or quantity placed with a variable. It is usually an integer that is multiplied by the variable and written next to it. The variables which do not have a number with them are assumed to be having 1 as their coefficient.


Let [tex]$x$[/tex] denote the claim sizes

[tex]& x= \begin{cases}100 & ; p=0.05 \\200 & ; p=0.2 \\300 & ; p=0.5 \\400 & ; p=0.2 \\500 & ; p=0.05\end{cases}[/tex]

[tex]& \mu_1^{\prime}=\varepsilon(x)=\sum x^0 p(x=x)=300 \\\\& \mu_2{ }^{\prime}=\sum x^2 p(x)=98000 \\\\& \mu_3^{\prime}=\sum x^3 p(x)=342 \times 10^5 \\[/tex]

[tex]& \mu_4^{\prime}=\sum x^4 p(x)=1.262 \times 10^{10} \\\\& \mu_2=\mu_2^{\prime}-\left(\mu_1^{\prime}\right)^2=8000 \\\\& \mu_3=\mu_3^{\prime}-3 \mu_2^{\prime} \\\\\mu_1^{\prime}+2\left(\mu_1^{\prime}\right)^3=0 \\\\& \mu_4=\mu_4^{\prime}-4 \mu_3^{\prime} \mu_1^{\prime}+6[/tex]

[tex]\mu_2^{\prime} \mu_1^{\prime 2}-3 \mu_1^{\prime 4} \\& \mu_4=2 \times 10^8 \\\\& \beta_1=\frac{\mu_3{ }^2}{\mu_2^3}=0 \quad \Rightarrow y_1=0 \\\\& \beta_2=\frac{\mu_4}{\mu_2{ }^2}=\frac{2 \times 10^8}{64 \times 10^6}=3.125\\ \\& y_2=\beta_2-3=0.125 \\[/tex]

Therefore, coefficient of skewness is 0 and coefficient of Kurtosis is 0.125.

For more such questions on Coefficients:

https://brainly.com/question/28975079

#SPJ4

The table shows the number of tickets sold for a concert one different prices are charged write an equation of a line of fit for the data round all values to the nearest 10th

Answers

As per the following table, the equation of a line of fit for the data round all values to the nearest 10th is  y = -6.199 x 85+ 548.7

In math the term called equation is known as  a mathematical statement that is made up of two expressions connected by an equal sign.

Here we have the following table with the value of ticket price and the number of tickets sold.

Here the First steps is calculated by using the linear regression feature that defines the line of best fit is

=> y = -6.199x + 548.7

When we take the value of x = 85, then we get,

=> y = -6.199 x 85+ 548.7

When we simplify this one then we get

=> y = 21.785 ≈ 22

Hence here this seems a reasonable model to predict the number of tickets sold because we can see that as the ticket price increase, and the number of tickets sold decreases.

To know more about equation here.

https://brainly.com/question/10413253

#SPJ4

the random variable x is the number of occurrences of an event over an interval of 10 minutes. it can be assumed the probability of an occurrence is the same in any two time periods of an equal length. it is known that the mean number of occurrences in 10 minutes is 4.2. the probability there are 8 occurrences in 10 minutes is

Answers

The likelihood of 8 occurrences in a period of 10 minutes is around 0.091 or 9.1%.

According to the Question

A Poisson distribution issue exists here. The Poisson distribution is a discrete probability distribution that quantifies the likelihood of a certain number of events occurring at a certain average rate, regardless of the interval between occurrences, in a given amount of time or space.

The following formula determines the likelihood that x will occur in a Poisson distribution with parameter λ :

P(x; λ) is equal to x / (λx * e(-λ))!

where

λ = the average number of occurrences within the specified time period.

λ in this situation is 4.2. (the mean number of occurrences in 10 minutes).

In order to determine the likelihood of 8 occurring in 10 minutes:

P(8; 4.2) = (4.2^8 * e^(-4.2)) / 8!

⇒ P(8; 4.2) = 0.091 or 9.1%.

To know more about probability on brainly : brainly.com/question/30034780

#SPJ4

The length of a rectangle is 6 inches more than its width. The area of the rectangle is 16 inches. Which quadratic equation could you use to find the dimensions of the rectangle?

Answers

The quadratic equation we  use to find the dimensions of the rectangle is w^2 + 6w - 16 = 0

What is Quadratic equation?

The second-degree equation is a quadratic equation. This indicates that it has at least one (1) squared phrase. Ax^2 + bx + c = 0 is one of the most used formulas for solving quadratic equations. Here, a, b, and c are constants or numerical coefficients.

What is Rectangle?

A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equal sides.

Let W be the width of rectangle.

then, length of the rectangle is W + 6 .

and the Area, A = 16 inches^2

And the area of recatngle is A = L x W

Hence, A = (W+6)W

So, 16 = W^2 + 6W

Hence the quadratic equation whichuse to find the dimensions of the rectangle is ;

W^2 + 6W - 16 = 0

By the quadratic formula we have

[tex]w = \frac{-b \pm \sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]w = \frac{-6 \pm \sqrt{6^{2}-4*1*(-16) } }{2*1}[/tex]

[tex]w = \frac{-6 \pm \sqrt{36 + 64} }{2}[/tex]

[tex]w = \frac{-6 \pm 10 }{2}[/tex]'

Hence, we take width as a positive because width never be negative .

so,the value of width is ;

w = 2

and length o rectangle is ;

l = w + 6 = 2 + 6 = 8

l = 8

Learn more about Quadratic equation click here:

https://brainly.com/question/28038123

#SPJ1

Randall purchased a flat screen TV for $1090. The tax rate was 8.5%. What was the total cost of his purchase?

Answers

Answer:

$1182.65

Step-by-step explanation:

(8.5/100)×$1090

(85/1000)×1090

$1853/20

=$92.65

thus, $1090+$92.65

=$1182.65

D Study the Example showing how to write the equation of a line in slope-intercept form from a graph. Then solve problems 1-5. Example An oceanographer is studying the growth of giant kelp. She selects one giant kelp plant and records its height each day. Then she draws this graph. What is the equation of the line in slope-intercept form? Define your variables. (0, 10) and (2, 60) are two points on the line. 60 - 10 2-0 = 50, or 25 m= Height (cm) 120 100 80 y 60 40 20 0 The slope is 25. The line intersects the y-axis at (0, 10). The y-intercept is 10. The equation y = 25x + 10 shows the height, y, of the giant kelp plant after x days. 0 1 3 4 2 Time (days) What do the slope and y-intercept in the Example represent in this situation? ​

Answers

The slope of the line in the example is 25 and the y-intercept is 10. These values can be used to write the equation of the line in slope-intercept form, y = 25x + 10.

The slope, m, represents the rate of change of the height of the giant kelp plant. In this case, the slope is 25, meaning that for every day that passes, the height of the giant kelp plant increases by 25 centimeters.

The y-intercept, b, represents the height of the giant kelp plant at time = 0. In this case, the y-intercept is 10, meaning that the giant kelp plant is 10 centimeters tall at time = 0.

So in this situation the slope represents how much the height of the kelp plant changes with respect to time and the y-intercept represents the initial height of the kelp plant at time = 0.

PLEASE HELPP,TEST QUESTION LIMITED TIME!!

Question- Given circle C with center (3, 4) and radius of 10, and circle D with center (0,1) and radius of 2, what sequence of transformations should be used to prove circle C is similar to circle D by mapping C onto D? Show all work and explain your reasoning.

Answers

Answer: it’s A

Step-by-step explanation:

What is the solution to the system?.
8x - 8y =-8
X=-3y=13

Answers

The solution to the system is:

x=-8
y=-7

5. On Monday, Mandy made 25 cupcakes for her bakery On Thursday, she made twice the amount of cupcakes from Monday minus eight cupcakes. Write an expression to show how many total cupcakes Mandy made on Monday and Thursday.​

Answers

Answer:y=25 x 2 -8

Step-by-step explanation:

25 x 2-8

A number is picked at random from the set of consecutive integers from 29! – 2992 to 29! + 2992 inclusive. What is the probability that it is divisible by 1995?​

Answers

When a number is randomly selected from the set of consecutive integers, it has a 3/4 chance of being divisible by 1995.

what is probability ?

A branch of mathematics called probability theory determines the likelihood that an event will occur or that a statement is true. A chance is a number between zero and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or chance that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed in percentages ranging from 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain occurrence relative to all possible outcomes.

given

99-20+1 = 80 potential outcomes.

Now, a number that may be divided by 12 must include the digits 2*2*3.

The realisation that c(c21)(21) = c(c1)c(c+1) is the same as c3c3 is perhaps the trickiest.

The latter statement indicates that you indeed have a group of three consecutive integers that are divisible by 12. Every three consecutive integers must be divisible by three, according to a rule.

The main question is how many of the numbers you choose are divisible by 22=4 22=4.

In this scenario, c can either be 21, 23, 25, 95, 97, 99, so 99212 9921/2 + 1 = 40 OR 20, 24, 26, 92, 96, so 96204 9620/4 + 1 = 20.

Thus, 40+2080 = 60/80 and 40+20/80 = 40/80

60/80 = 3/4

When a number is randomly selected from the set of consecutive integers, it has a 3/4 chance of being divisible by 1995.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

Pam has some dimes and quarters. Pam has fewer than 9 coins.

The coins have a total value of $1. 45.

Pam has

quarters and

dimes.

Answers

Number of quarters and dime with Pam with the total value of $1.45 is equal to 4 and 4.5 respectively.

Let 'x' represents the number of quarters coins.

And 'y' represents the number of dimes coins.

Value of quarter and dime in dollars is :

1 quarter = $0.25

1 dime = $ 0.10

Total value of all the coins = $1.45

⇒ $0.25x + $0.10y = $1.45

⇒2.5x + y = 14.5

⇒y = 14.5 - 2.5x  __(1)

Number of coins < 9 coins

x + y < 9  

⇒ x < 9 - y  __(2)

Substitute the value of 'y' from (1) we get,

x < 9 - 14.5 + 2.5x

⇒2.5x - x > 14.5 - 9

⇒1.5x > 5.5

⇒ x > 5.5./1.5

⇒ x > 3.7

⇒ x = 4 ( next possible integer)

⇒ y = 14.5 -2.5(4)

⇒y  = 4.5

⇒ y = 4.5

Therefore, the number of quarters and dime with Pam is equal to 4 and 4.5 respectively.

learn more about quarters here

brainly.com/question/391885

#SPJ4

An interior designer recently spent £1359.55 buying 25 kettles and 20 toasters for a smaller group of new houses. For her current assignment she needs 80 kettles and 56 toasters. If the price of each kettle and each kettle is the same in all three cases, how much should she allow for this cost on her current assignment?

Answers

She should allow $4107.2 for her current assignment.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an interior designer recently spent £1359.55 buying 25 kettles and 20 toasters for a smaller group of new houses. For her current assignment she needs 80 kettles and 56 toasters.

The price of kettle and toaster is same. So, we can write -

25x + 20x = 1359.55

45x = 1359.55

x = 30.2

Therefore, the total cost of 80 kettles and 56 toasters will be -

(80 x 30.2 + 56 x 30. 2)

$4107.2

Therefore, she should allow $4107.2 for her current assignment.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

the grade 6 cla 40 pupil .if thre are 18 girl in a cla what i the ratio of girl to the boy?

Answers

The ratio of girls to boys in the 6th grade class of 40 pupils is 18:22.

This can be calculated by first finding the total number of boys in the class. 40-18=22. We then use the formula for ratio, which is the ratio of two or more numbers. In this case, it is the ratio of girls to boys. 18:22. This ratio can also be expressed as 18/22 or 0.818181818181818181818181818181818181818181818182 (to three decimal places). A ratio is a comparison of two numbers and can be used to compare different parts of a whole. It can also be used to compare different groups or classes of people. In this case, it is used to compare the number of girls to boys in a 6th grade class.

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ4

IIn the figure, m∠POR = 170° and m∠ROQ = 52°. If m∠POQ = x, which equation could be used to solve for x? A. X + 170° = 52° B. X + 52° + 170° = 180° C. X + 52° = 170° D. X = 170° + 52°n the figure, m∠POR = 170° and m∠ROQ = 52°. If m∠POQ = x, which equation could be used to solve for x? A. X + 170° = 52° B. X + 52° + 170° = 180° C. X + 52° = 170° D. X = 170° + 52°

Answers

Option C is correct - X + 52 = 170.

Angle

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

Straight line

A line is a geometry object characterized under zero width object that extends on both sides. A straight line is just a line with no curves. So, a line that extends to both sides to infinity and has no curves is called a straight line.

According to the question,

∠POR = 170°

∠ROQ = 52°

∠POQ = x,

it is clear by the question,

on the basis of figure attached with this solution,

two angles together make the third angle,

so,

first angle is 52 degree

second angle is x degree,

∠ROQ + ∠POQ  =∠POR  

x + 52 = 170

so the answer is x + 52 = 170.

Learn more about angles here :-

https://brainly.com/question/28451077

#SPJ4

What is the median of this data set? {13, 13, 13, 15, 15, 16, 16, 17, 177

I NEED HELP ASAP PLEASE

Answers

Answer:15

Step-by-step explanation:

its the middle number

Answer: i think it's 15!!

hope this helps lol

Solve this system of equations by graphing. First graph the equations, and then type the solution.
3x-y=-6
y=x+4
The solution is (_,_)

Answers

The solution to the system of equations in this problem is given as follows:

(5,9).

How to obtain the solution to the system of equations?

The system of equations for this problem is defined as follows:

3x - y = 6.y = x + 4.

We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.

From the image given at the end of the answer, the solution to the system of equations is given as follows:

(5,9).

More can be learned about a system of equations at https://brainly.com/question/13729904

#SPJ1

Question 5 of 10

Whitney's steel house is located in the country. If her building property

insurance is $603. 50 per year, how much is her house worth?

Annual Premium per $100 of coverage

Brick

Steel

Mixed

Wood

Area

Building Contents Building Contents Building Contents Building Contents

rating

City 0. 39 0. 43 0. 5 0. 54 0. 55 0. 65 0. 66 0. 76

Suburb 0. 45 0. 52 0. 56 0. 63

0. 74 0. 83 0. 85

Rural 0. 6

0. 69 0. 71

0. 89

0. 91 1

1. 02

0. 72

0. 8

O A. $17,350

Answers

The  correct answer is B. $60,350.00. To calculate the value of Whitney's steel house, you need to multiply the annual premium per $100 of coverage ($0.43) by the annual property insurance premium ($603.50) and then divide that by 100. This works out to $60,350.00.

To determine the annual premium per $100 of coverage, you need to look at the table provided in the question. Since Whitney's steel house is located in the country, the annual premium per $100 of coverage is $0.43. Multiplying this by the annual property insurance premium of $603.50 gives you the total value of the house, which is $60,350.00. To summarize, the value of Whitney's steel house can be calculated by multiplying the annual premium per $100 of coverage by the annual property insurance premium and then dividing that by 100. In this case, the value of the house is $60,350.00.

To know more about  insurance premiums refer to the link brainly.com/question/28267705

#SPJ4

Question 5 of 10 Whitney's steel house is located in the country. If her building property insurance is $603. 50 per year, how much is her house worth? Annual Premium per $100 of coverage Brick Steel Mixed Wood Area Building Contents rating City 0. 39 0. 43 0. 5 0. 54 0. 55 0. 65 0. 66 0. 76 Suburb 0. 45 0. 52 0. 56 0. 63 0. 74 0. 83 0. 85 Rural 0. 6 0. 69 0. 71 0. 89 0. 91 1 1. 02 0. 72 0. 8 O A. $17,350.00  B. $60,350.00  C. $171,050.00  D. $603.50

Work out the value of x. Show your working clearly.​

Answers

Sorry but you did not post a problem. Please post another question with the problem attached

find cot theta, cos theta, sec theta,

Answers

we would here like to find out the values of given trigonometric ratios . A right angled triangle is given to us with perpendicular= 3 and hypotenuse= 8

Firstly by Pythagoras theorem, we have ,

[tex]\longrightarrow h^2 = p^2 + b^2\\ [/tex]

[tex]\longrightarrow 8^2 = 3^2 + b^2 \\[/tex]

[tex]\longrightarrow 64 = 9 + b^2\\ [/tex]

[tex]\longrightarrow b^2 = 64 -9 = 55\\ [/tex]

[tex]\longrightarrow b =\sqrt{55}\approx 7.41 [/tex]

now as we know that,

[tex]\longrightarrow \cos\theta = \dfrac{base}{hypotenuse}=\dfrac{7.41}{8}\\ [/tex]

[tex]\longrightarrow \underline{\underline{ \cos\theta = 0.92 \approx 1}} [/tex]

And ,

[tex]\longrightarrow \cot\theta =\dfrac{base}{perpendicular}=\dfrac{7.41}{3}\\[/tex]

[tex]\longrightarrow \underline{\underline{\cot\theta = 2.47 \approx 2 }} [/tex]

Finally,

[tex]\longrightarrow \sec\theta =\dfrac{hypotenuse}{base}=\dfrac{8}{7.41}\\[/tex]

[tex]\longrightarrow \underline{\underline{\sec\theta = 1.07 \approx 1 }} [/tex]

and we are done!

A survey was given to a random sample of 45 voters in the United States to ask about
their preference for a presidential candidate. Of those surveyed, 80% of the people
said they preferred Candidate A. Determine a 95% confidence interval for the
percentage of people who prefer Candidate A, rounding values to the nearest tenth.

Answers

Answer: A confidence interval is a range of values that is likely to contain the true population value with a certain level of confidence. To determine a 95% confidence interval for the percentage of people who prefer Candidate A, we can use the following formula:

(Sample proportion) +/- (Margin of error)

The margin of error can be calculated using the formula:

Margin of error = (Critical value) * (Standard deviation)

The critical value is a factor used to compute the margin of error. The critical value for a 95% confidence interval is approximately 1.96. The standard deviation is calculated as:

Standard deviation = √((Sample proportion) * (1 - Sample proportion) / (Sample size))

Plugging in the given values:

Sample proportion = 80% = 0.8

Sample size = 45

Margin of error = (1.96) * √((0.8) * (1 - 0.8) / (45))

Step-by-step explanation:

How many teaspoons are there in 6 milliliters?

Answers

The number of  teaspoons that are there in 6 milliliters is 1.21731 US  teaspoons.

How can the conversion be done?

The concept that will be used here is conversion of units. Unit conversion is the process of changing measurements of the same quantity between different units by multiplying or dividing them. The act of converting something from one form to another in mathematics, such as from inches to millimeters or from liters to gallons, is known as conversion.

1 tsp  = 4.93 mL

Then Xtsp = 6ml

The cross multiply, Xtsp= (1 tsp *6ml)/4.93 mL

Then 6 milliliters= 1.21731 US  teaspoons

Learn more about units at:

https://brainly.com/question/141163

#SPJ1

Solve for a.

a+ (−4) = −13

Answers

Answer: a= -9

Step-by-step explanation:

a+ (−4) = −13

a - 4 = -13 (the 4 becomes -4 as when it comes to + or - it is always -)

    a = -13 +4  (when you switch the side -4 becomes +4)

    a= -9

What is the equation for the graph below.

Answers

The equation of the straight line will be -

y = x - 4.

What is the general formula of a straight line?

The general formula of a straight line will be -

y = mx + c

Given is a graph of straight line as shown in the image.

We can write the equation as -

y = mx + c

Now, we can write the slope as -

m = (0 + 4)(4 - 0) = 4/4 = 1

{m} = 1

{y} - intercept = - 4

{c} = - 4

We can write the equation as -

y = x - 4

Therefore, the equation of the straight line will be -

y = x - 4.

To solve more questions on straight line, visit the link below -

https://brainly.com/question/28956738

#SPJ1

Other Questions
the punnett square predicts a 9:3:3:1 ratio for phenotypes. explain what that ratio means. (refer to the punnett square above) Read the excerpt from "Fern in Cane.From the train window I saw her as I crossed the road. Saw her on her porch, head tilted a little forward where the nail was, eyes vaguely focused on the sunset. Saw her face flow into them, the countryside and something that I call God, flowing into them.Which statement best describes Toomers use of diction in this excerpt?A. The repetition of the phrase saw her suggests that the speaker is intensely focused on Fern.B. The word vaguely implies that the speaker does not have much memory of his time with Fern.C. The description of Ferns head as tilted a little forward suggests that she be sleeping.D. The use of the word God illustrates that the narrator and Fern are relying on religion to comfort them. 12Enter the statement, with the values in the same order, but with parentheses so that the statement is true.7x5-4x5+164=26 when(select) (select)-(select) (select)+(select) (select)=26 if 300 waves pass a point in one minute, the frequency is Given point M and plane such that M . MO is perpendicular to plane . MP and MQ are inclined to which make 30 and 60 with plane , respectively. Find the length of PQ in terms of MO if POQ = 120 an agent that is employed by merrill lynch believes that the stock of the parent company (bank of america), which has been trading at new lows on the nyse, is ready for a rebound. she wants to recommend it to her customers. which statement is true about doing so? a this is an unethical business practice and is prohibited b this is permitted only if the agent discloses the existence of the relationship verbally when making the recommendation c this is permitted only if existence of the relationship is disclosed in writing on the confirmation d both choices b and c above loosely coupled and high cohesive systems have modules that do not dependent on each other specially structurally group of answer choices true false which of the following has primary responsibility for the fairness of the representations made in financial statements? The table shows the height of a plant at each month. Use the table to answer the questions Number of months. |. Height 1. 2.3 2. 3.6 3. 5.2 4. 4.9 5. 7.3 6. 7.6 7. 8 What is the equation of the line of best fit? How tall can we expect the plant to be after 13 months? Which expression is equivalent to 3/8xy z^4Show all workA- 2x^ 3/2 Y Z^3/4B- 2x^2/3 Y Z^3/4C- 2z/xD- 2x/z 2x+8=-3.5x+19 decide wether each question is true for all one, or no values of x Which of the following hormones are released in response to decreases in blood glucose concentration?A.InsulinB.Luteinizing hormoneC.GlucagonD.Parathyroid hormoneE.Calcitonin nitrogen and carbon cycles webquest answers science if thymine makes up 21% of the dna nucleotides in the genome of a plant species, what are the percentages of the other nucleotides in the genome? express your answer as a numbers separated by comma. enter your answer in the following order: % of adenine, % of cytosine, % of guanine. activate to select the appropriate template from the following choices. operate up and down arrow for selection and press enter to choose the input value typeactivate to select the appropriates symbol from the following choices. operate up and down arrow for selection and press enter to choose the input value type activate to select the appropriates symbol from the following choices. operate up and down arrow for selection and press enter to choose the input value type nothing what county in georgia produces the most timber analyze developments from 1941 to 1949 that increased suspicion and tension between the united states and the soviet union. use the documents and your knowledge of the period 1941-1949 to construct your response. The theory that emotional expression is severely restricted when we use only text-based messages to communicate is called __________ theory. A.diminished capacityB.media richnessC.cues-filtered-outD.transactional interference which education would the nurse provide the parents of a 4-year-old child about typical sleeping patterns in preschoolers? select all that apply. one, some, or all responses may be correct. muscle contraction that permits the muscle to shorten. State of true or false. 1. True2. False NEED HELP ASAP THOSE ARE 2 DIFFRENT THIGNS I NEED TO DO SO DONT WRITE JUST ONE. AND DO SOMETHIGN ORIGINAL NOT FROM EDMENTUM TYYFashion is constantly evolving. Down through the years, several important events changed the course of history and influenced the evolution of fashion. Understanding this evolution gives us insight into how people dressed in different societies, how revolutions and wars changed the way people dressed, and how people dressed according to their social class.QUESTION 1: Write a short note each on the couture lines for menswear and womens wear in the following periods: pre-French Revolution, French Revolution, World War II, and post-World War II. Your note should emphasize the fabric, color, silhouette, and overall design.QUESTION 2: Write a short note describing the changes in fashion in the United States after the industrial revolution.