i need the fourth term of one and three all I need is the answers so I can quiz my son.

"S is the midpoint of BT": this is given.

BO || AT: this is given.

SB = ST: definition of midpoint.

alternate interior

vertical

ΔBOS = ΔTAS: SAS or ASA (both are right).

Answer:

A

Step-by-step explanation:

we have 3/4 in / minute.

so, we divide this by 3/4 to get the time for 1 inch.

and then we multiply by 1/3 to get the time for 1/3 inch.

that combination, dividing by 3/4 and multiplying by 1/3, can be done in any sequence (commutative property of multiplication).

therefore, this can be expressed as 1/3 divided by 3/4. and A is the correct answer.

Take into account that dop plots are usefull for small or moderate sized data sets, and also they are suefull for data with big gaps.

Based on the previous description, you can conclude that the best option for a dot plot is:

16, 29, 31, 37, 44, 49, 58, 63, 69, 70, 83, 97

in comparisson with the other data sets, the elements of the rest of data sets are closer to each other.

Let's begin by listing out the given information:

Loan (p) = $3,800

Time (t) = 8 months = 8/12 year

Interest rate (r) = 5.5%

a)

We calculate it thus:

b)

The amount paid in total is:

to find the distribution of

rewrite 32 as an addition

rewrite the product

distribute the 9

Make graph line using the slope and the y-intercept or the point.

m=1/4 and b=3

What is graph ?

graph is a mathematical representation of a networks and it describes that the  relationship between lines and points. A graph consists of some points and lines are  between them. The length of the lines and position of the points do not matter.

Sol-as per the given question y=1/4x+3

The slope-intercept form y=mx+b where m is the slope and b is the y intercept

y=mx+b

Reorder terms

y=1/4x +3

Use the slope-intercept form to find the slope and y-intercept

Slope=1/4

y-intercept :(0,3)

Any line can be graphed using two points is  Select two x

values, and plug them into the equation to find the corresponding Y values.

In record terms -y=1/4 x+3

The table of x and y values are-

X-0,4

Y-3,4

graph the line using the slope and the y-intercept, or the points.

Slope -1/4

y-intercept (0,3)

To know more about graph click -

https://brainly.com/question/25184007

#SPJ9

Answer:

whales, walruses, porpoises, dolphins, seals, dugongs, manatees, and sea otters

Step-by-step explanation:

have good day

The given equation is:

x^4-8x^3+5x^2+14x​

In this question, we have to find the zeros algebraically. Hence, we need to find the values of x that satisfy the equation.

Note: The roots (values of x) are equal to the power of the equation. Therefore, the given equation will have 4 roots

Therefore,

x^4-8x^3+5x^2+14x​ = 0

or

x(x^3-8x^2+5x+14​) = 0

=> x = 0 and x^3-8x^2+5x+14​ = 0

Therefore, the first root is x = 0.

Now,

x^3-8x^2+5x+14​ = 0

To simplify that, try putting different values of x (starting from 1 and -1). The value that makes both sides equal to zero would be the solution.

Let's start with (1):

For x = 1

(1)^3 - 8(1)^2 + 5(1) + 14 = 0

1 -8(1) + 5 + 14 = 0

-1 -8 +5 + 14 = 0

- 9 + 19 = 0

10 = 0

It is false, therefore, x = 1 is not the solution.

For x = -1

(-1)^3 - 8(-1)^2 + 5(-1) + 14 = 0

-1 -8(1) - 5 + 14 = 0

-1 -8 -5 + 14 = 0

- 14 + 14 = 0

0 = 0

hence, x = -1 is the second solution.

If x = -1 is the solution, (x + 1) should be the factor of x^3-8x^2+5x+14. Therefore, the whole equation can be divided by factor

x^3-8x^2+5x+14 / (x+1). = x^2 - 9x + 14. (using division)

Now, let's find the roots of x^2 - 9x + 14

x^2 - 9x + 14 = 0

x^2 - 7x - 2x + 14 = 0

x(x - 7) - 2 (x - 7) = 0

(x - 7) (x - 2) = 0

or

x - 7 = 0. and x - 2 = 0

x = 7 and x = 2

Therefore, the zeros of the given equation are, 0, -1, 2 and 7.

SOLUTION

From the question, we want to find the value in dollars of the account after 2 years.

We will usethe formula

Applying this, we have

Hence the answer is 43,548.47 to the nearest cent

Let's set d as the age of Davon and m as the age of Milan.

Devon is 30 years old than his son Milan, it is represented by the equation:

The sum of both ages is 56, the equation that represents the situation is:

To find Devon's age, in equation 1, solve for m in terms of d:

Now, replace in equation 2 and solve for d:

Devon is 43 years old.

The derivative of the given expression ln(x)cos(x) can be written as (cos(x))/x - sin(x)ln(x).

What is derivative?

In mathematics, the derivative of a function of a real variable measures how sensitive the function's value (or output value) is to variations in its argument (input value). The derivative is the fundamental tool in calculus. A measure of how quickly an object's position changes over time is its velocity, which is the derivative of that object's position with respect to time.

We can solve this derivation using multiplication property of derivatives:

i.e. [tex]\frac{d}{dx}(uv) = u\frac{dv}{dx} + y \frac{du}{dx}[/tex]

In the given question, lets consider ln(x) as u and cos(x) as v

putting the values from question.

[tex]\frac{d}{dx}(ln(x)cos(x)) = ln(x)\frac{d(cos(x))}{dx} + cos(x) \frac{d(ln(x))}{dx}[/tex]

[tex]= ln(x)(-sin(x)) + cos(x)(\frac{1}{x})[/tex]

= (cos(x))/x - sin(x)ln(x)

To know more about derivative, go to link

https://brainly.com/question/23819325

#SPJ13

Examples:

1. Five increased by four times a number

where n is the number

2.The product of 4, and a number decreased by 7

Answer:

The correct option is option a.

$18.08 for 9 bottles is the better buy.

Explanation:

The best buy is the item with the lesser price tag.

Let us chech which of the given items has the lesser price tag.

a. $18.08 for 9 bottles of juice

Let us find how much one bottle costs.

1 bottle = 18.08/9

= 2.01

1 bottle of juice costs $2.01 approximately

b. $22.23 for 11 bottles of juice

1 bottle = 22.23/11

= 2.03

1 bottle of juice costs $2.03 approximately.

Comparing these prices per bottle of juice, we realise that the one with $18.08 for 9 bottles is the better buy.

We want find the compound interest annualy for 4 years, $8500, at 7%'

The formula for the compound amount over one year is;

1st year:

2nd year:

3rd year:

4th year:

The type of variation that describes each relationship include the following:

An indirect variation simply refers to a type of proportional relationship in which a variable is inversely proportional to another variable. This ultimately implies that, an indirect variation represents two variables that are inversely proportional to each other, which means as one variable increases, the other variable decreases and vice-versa.

Direct variation refers to a type of proportional relationship in which a variable is directly proportional to another variable. This ultimately implies that, a direct variation represents two variables that are directly proportional to each other, which means as one variable increases, the other variable also increases and vice-versa.

Read more on variation here: brainly.com/question/16455054

#SPJ1

You have to multiply the numbers:

9x6 =54

Multiply is the same as adding the number 6 times

9+9+9+9+9+9 =54

We need to think of something that will cool down 10 degrees in 5 hours to be more realistic. You may say that this graph describes the temperature profile of a fermentation broth after it is heated to 82 degrees is left on the tank to cool down to room temperature.

The mode is the number that appears most or occurs most frequently. Therefore, the mode of the data set below can be calculated below

Let's rearrange the data

The mode will be

So,

The line:

Is a good fit of the data given.

To predict the number of bachelor's degrees in Mississippi, we replace x by 40.6 and operate:

The number of bachelor's degrees per 1000 people when x=40.6 median income, is predicted as 228.778.

Solution

Find the value of x in the triangle shown below:

Calculate the value of x

Opposite = 5

adjacet = x

Therefore the correct value of x = 4.2

Solution

The diagram below will be of help

From the image above

We know that the sum of angle in a triangle is 180 degrees

That is

Now, to find x

We also know that the sum of angle in a straight line is 180 degrees

That is

We now solve for x

Therefore, the value of x = 149 degrees

Option B

Outcome that are in A and B simply means both outcome must be achieved.

Therefore,

The statement

41 increased by 4

The word increase mean adding to the given number 41

Hence,

The statement can be expressed as

Simplifying the result gives

Therefore, the answer is

ANSWER:

The correct option is the following:

C. Find the intersection of the angle bisectors of each angle of the triangle,

EXPLANATION:

The point that equidistant is the point at which the three bisectors of the internal angles of the triangle intersect, and it is the center of the circumference inscribed in the triangle and equidistant from its three sides.

IMPORTANT NOTE:

Any point on the bisector of an angle of a triangle equidistant from the sides that define that angle.

A sequence is called arithmetic if the difference between two consecutives is a constant

In the first case we see a constant difference of 5

every two consecutives have difference of 5, for example 20-15, 30-25 and so on.

In the second case we see the division between two consecutives is a constant . That is called a GEOMETRIC sequence.

the constant in this case is 18/6 =3

lets return to the 1st case find the explicit

An = Ao +(n-1) d

An means the n term in the sucession

Ao means the first term

d means the constant

with that in mind we replace the values obtained

An= 5 + (n-1) •5

now for the recursive

a1= 5

An = An-1 + 5

Now lets go to the second part, the geometric sequence. Just is needed to replace the values in the ABOVE RIGHT formula

so then

An = A1 •(3)^(n-1)

An = 2• (3)^(n-1)

Pythagorean theorem

(Type an integer or decimal rounded to the nearest tenth as needed.)

Integer = 8'

decimal rounded to the nearest tenth as needed = 8.1'

Determine the total cost for 3 order of fries and 2 drinks.

Determine the expression for f orders of fries and d drinks.

So cost of 3 order of fries and 2 drinks is $4.9.

The cost order for f orders of fries and d drinks is 0.94f + 1.04d.

The Solution:

Let the outcomes when two dice are tossed be as summarized in the picture attached below: