Given mn, find the value of x.
(5X+28)°
(7x-4)°

The ratio term of given geometric progression is 3 and the 9th term of the GP is 6561.

What is Geometric Progression?

A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio. For instance, the geometric progression 2, 6, 18, 54,_ _ _ _ has a common ratio of 3.

Given in question,

first term of the GP is 1,

4th term of the GP is 27,

[tex]4^{th} term = ar^3[/tex]

[tex]ar^3 = 27[/tex]

Therefore, the ratio term of geometric progression, r = 3

We know that, [tex]a_n = ar^{n-1}[/tex]

[tex]a_9 = ar^8[/tex]

[tex]a_9 = 3^8[/tex]

a9 = 6561

Therefore, the 9th term of given geometric progression is 6561.

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Answer:

[tex]4\sqrt{x+2} - 6[/tex]

Step-by-step explanation:

f(g(7)) = f(sqrt(x+2))

=4(sqrtx+2) - 6)

= [tex]4\sqrt{x+2} - 6[/tex]

Answer:

[tex](f \circ g)(7)=6[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=4x-6\\g(x)=\sqrt{x+2}\end{cases}[/tex]

(f o g)(x) is a composite function.  

Composite functions are when the output of one function is used as the input of another.

Therefore, the given composite function (f o g)(7) means to substitute the function g(x) when x=7 in place of the x in function f(x).

[tex]\begin{aligned}\implies (f \circ g)(7)&=f[g(7)]\\& = f(\sqrt{7+2})\\&=f(\sqrt{9})\\&=f(3)\\&=4(3)-6\\&=12-6\\&=6\end{aligned}[/tex]

Answer:

10:12

Step-by-step explanation:

15-5=10

24-12=12

og ratio is 15:24

new ratio is 10:12

[tex] \frac{4}{7} v = - \frac{26}{3} \\ - 26(7) = 4v(3) \\ - 182 = 12v \\ \frac{ - 182}{12} = \frac{12v}{12} \\ v = - 15 \frac{2}{12} \\ v = - 15 \frac{1}{6} [/tex]

BE AWARE I USED CROSS MULTIPLICATION.

To identify the inequality of the given graph:

1. Identify the equation of the borderline in slope-intercept form (y=mx+b)

- Find the slope (m): Use two points in the line in the next formula:

- Identify the y-intercept (b): the value of y where the line cross the y-axis (when x is 0)

b= -1

Equation of the border line:

2, Identifify the inequality sing:

-When the inequality is < or > the borderline is a dotted line

-When the inequality is ≥ or ≤ the border line is a full line

-When the inequality is < or ≤ the shaded area is under the borderline

-When the inequality is > or ≥ the shaded are is over the borderline

In this case you have a dotted borderline and a shaded area under the borderline, then, the inequality is:

Solution

Given, ABCD is a rectangle AC is diagonal

Then AD=BC and AB=CD

And ∠ABC=∠BCA=∠CDA=∠DAB=90

0

In ΔABC and ΔADC

∠ABC=∠ADC (Angle of rectangle)

AB=DC (Opposite side of rectangle )

AC=AC (Common side)

∴ΔABC≅ΔADC

∴∠ACD=∠ACB

∵∠ACD+∠ACB=90

0

..........[Angle ACB is the angle of rectangle]

∴2∠ACD=90

0

⇒∠ACD=45

0

Answer:

They should play music

Step-by-step explanation:

They should play music obviously because the sales were higher

Answer:

0.49

Explanation:

Given the expression:

tan 26°

Evaluating using calculator

tan 26° = 0.4877

Hence the decimal rounded to the nearest hundredth is 0.49

Answer:

0.49 to nearest hundredth

Step-by-step explanation:

tan 26⁰ = 0.48773

Step-by-step explanation:

This should be the right solution.

In linear equation,  R = 4c is an equation to represent the amount R Natalia and her friends raised after selling c cakes.

What are a definition and an example of a linear equation?

The equation that will represent the amount raised after selling the cakes to be written in slope-intercept form is given as .

Where,

y = R (amount of cake sold in dollars)

x = c (cakes sold)

m = slope

b = y-intercept.

The equation would look like

R = mc + b

We need to find the value of m and b, to get an equation to represent the situation.

The first point we have from the information given is (15, 60) => 15 cakes sold for $60.

The second point is (22, 88) => 22 cakes sold for $88.

Slope(m) = 88 - 60/22 - 15 = 28/7 = 4

To find b, substitute c = 15, R = 60 and m = 4, into R = mc + b

  60 = 4(15) + b

  60 = 60 + b

   b = 0

Since b = 0, this means there is a proportional relationship between R and c.

Substitute m = 4 and b = 0 into   R = mc + b to derive an equation to represent the amount R Natalia and her friends raised after selling c cakes.

    R = 4c + 0

    R = 4c

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Using concepts of statistics, we got 7% people are from age 18-24,and 15% for criminal arrests,65 and older are in 13% population and cover less than 1% crime rate.

The topic of crime in the United States is very large, technically covering any action that is punishable under a state or federal law. Any analysis of the topic  requires division into further sub-categories. One common way to do this is  by limiting analysis to crimes involving jail time (i.e. misdemeanors and felonies, which generally differ via the length of jail time involved), then differentiate between violent crimes or property crimes. Violent crimes are described as offenses which involve force or the threat of force, while property crime majorly includes offences involving the taking of money or property, but where there is not any  force or threat of force against the victims. Property crimes are outnumbering violent crimes in the U.S. in 2020, numbering 6.45 million and 1.31 million respectively. Larceny was the actually most common property crime with 4.6 million incidents, while the aggravated assaults accounted for around two thirds of violent crimes.

Hence, percentage of people whose age is in between 18-24 is 7%,

people from age 18-24 engaged in illegal work=15%,

percentage of people whose age is 65 or more than =13%,

people involved in crime having age more than or equal to 65=1%

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Required:

We need to find the statement which is NOT a misuse of statistics.

Explanation:

Recall that misuse of statistics occurs when a statistical argument asserts a falsehood.

Utilizing valid statistical methods and correct sampling techniques is not a misuse of statistics.

Final answer:

A. Utilizing valid statistical methods and correct sampling techniques

The measure of ∠ A is 44 degrees.

Given that:-

∠ A and ∠ B are complementary angles.

∠ A = (6x +2) degrees

∠ B = (4x + 18) degrees

We have to find the measure of ∠ A.

We know that the sum of two complementary angles is 90 degrees.

Hence, we can write,

(6x + 2) + (4x + 18) = 90

(6x + 4x) + (2 + 18) = 90

10x + 20 = 90

10x = 90 - 20

10x = 70

x = 70/10

x = 7 degrees

Hence,

∠ A = 6*7 + 2 = 42 +2 = 44 degrees.

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Answer: Radius (r) 5.99848 in

Diameter 11.99696 in

Circumference (c) 37.68955 in

Area 113.04in²

Radius (r) 5.99848 in

Diameter 11.99696 in

Circumference (c) 37.68955 in

Area 113.04 in²

Radius (r) 0.999493 in

Diameter 1.998986 in

Circumference (c) 6.28 in

Area 3.13841 in²

Radius (r) 8.49569 in

Diameter 16.99138 in

Circumference (c) 53.38 in

Area 226.75 in²

Radius (r) 2.5 cm

Diameter 5 cm

Circumference (c) 15.70796 cm

Area 19.63495 cm²

Radius (r) 1.1 yd

Diameter 2.2 yd

Circumference (c) 6.9115 yd

Area 3.80133 yd²

Radius (r) 2 in

Diameter 4 in

Circumference (c) 12.56637 in

Area 12.56637 in²

Step-by-step explanation: I hope this helps.

The average cost of each book that Nancy got is $32

Cost refer to the amount or value of a product. cost is usually valued in money hence one has to pay some money to h]]get the commodity of choice

In the question, the commodity is mundane books

given that

Nancy had 209 dollars to spend

number of books = 6

amount remaining after buying = $17

The question can be represented mathematically as

6x + 17 = 209

where x is the cost of the each book

6x + 17 = 209

6x = 209 - 17

6x = 192

dividing through by 6

6x / 6 = 192 / 6

x = 32

hence each book costs $32

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Answer:

6.25 weeks

Step-by-step explanation:

Take 18.75 ÷ 3. The construction crew finishes 3 km per week. You should receive 6.25 by solving the equation. So, this is the answer.

The slope of the points has a value of 97/16

From the question, the line passes through the following points

(64, 94) and (48, -3).

The slope of the line that passes through the points is then calculated using

Slope = (y₂ - y₁)/(x₂ - x₁)

Where x and y are the coordinates above

Substitute the known values in the above equation

So, we have the following equation

Slope = (94 + 3)/(64 - 48)

Evaluate the difference and the sum

Slope = 97/16

Hence, the slope is 97/16

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Using completing the square method (x + 8)2 = +1 is the intermediary step in the equation (x + a)2 = b after the square is complete.

Get the intermediate step:

Divide the equation by 3 into both sides:

Adding 1 on both sides to complete the square:

Therefore, (x + 8)2 = +1 is the intermediary step in the equation (x + a)2 = b after the square is complete.

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The value of question are 65+[tex]\underline{115}[/tex]=180, [tex]11x+\underline{48}=180^o[/tex], [tex]11x=\underline{132}[/tex] and [tex]x=\underline{12}[/tex].

In the given question we have to find the value of missing term.

(1) 65+......=180

(2) 11x+.......=180

(3) 11x=.........

(4) x=........

To solve this question we have to use some theorem.

Firstly solving the first question.

As we know that the angle of straight line is 180[tex]^o.[/tex]

So from the diagram

[tex]65+z=180^o[/tex]

Subtract 65 on both side

[tex]65+z-65=180^o-65[/tex]

[tex]z=115[/tex]

Hence, 65+[tex]\underline{115}[/tex]=180.

Now finding the value of second question.

Using Alternate Exterior Angles Theorem

According to theorem the angle beside 11x - 17 is 65.

As we know that the angle of straight line is 180[tex]^o.[/tex]

So  11x-17+65=180[tex]^o.[/tex]

Simplifying

So [tex]11x+\underline{48}=180^o[/tex]

Now finding the value of third question.

From the second question answer we get [tex]11x+{48}=180^o[/tex]

Now solving this equation to find the value of 11x

Subtract 48 on both side

[tex]11x+{48}-48=180^o-48[/tex]

[tex]11x=132[/tex]

Hence, [tex]11x=\underline{132}[/tex]

Now solving the fourth question.

To find the value of fourth question we further simplify the answer of third question.

[tex]11x=132[/tex]

Divide by 11 on both side

[tex]\frac{11}{11}x=\frac{132}{11}[/tex]

[tex]x=12[/tex]

Hence, [tex]x=\underline{12}[/tex]

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3x^2 + 1 = 5x

3x^2 - 5x + 1 = 0

quadratic formula

where ax^2 + bx + c = 0

so

You can see that the 25 - 12 = 13 so the answers are A and B

The number of ways to plan her schedule of menus for the 20 school days is 10^20.

To calculate combinations, we will use the formula nCr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time. To calculate a combination, you will need to calculate a factorial.

For each day, there are ten different choices for what she will cook that day. 20 decisions are made, one for each day with ten different possibilities for each choice.

The complete question is: A school cook plans her calendar for the month of February in which there are 20 school days. She plans exactly one meal per school day. Unfortunately, she only knows how to cook ten different meals.

How many ways are there for her to plan her schedule of menus for the 20 school days if there are no restrictions on the number of times she cooks a particular type of meal?

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Answer:

Step-by-step explanation:

30 students 15 have brown eyes 5 of the 15 are boys

1/3 chance a boy with brown eyes will be chosen.

1/2 a chance a student with brown eyes will be chosen

1) Gathering the data

Strategy:

Running : 2x As he swims

Biking: 4x Runs

Runs = 3 miles

Then

2) Runs = 3 miles Swims = 6 miles Biking = 12 miles

The Total distance will be the sum of those activities:

3+6+12=21 miles

Given:

To factorize:

It can be written as,

Therefore, the factorized form is,

The table shows different flood types and their frequencies.

Total frequency of all flood types = 18 + 6 + 4 + 2 = 30

frequency of river flood = 6

Recall, probability is expressed as

number of favorable outcomes/number of total outcomes

Thus, the estimated probability that a flood in 2021 in that state will be a river flood is

6/30 = 0.2

By changing 0.2 to percentage, we have

0.2 x 100 = 20%

The correct option is C. 20%

First, we can start input small whole numbers in the function to see if we get a whole number. Let's try with 0, 1 and 2:

None of those values worked. Let's try negative integers, such as -1 and -2:

We get integer coordinates if we use negative integers. Then, we need at least 5 points. Let's use x = -1, -2, -3, -4, -5

We have the points:

(-1, -8), (-2, -7), (-3, -5), (-4, -1) and (-5, 7)

If we locate them in the cartesian plane:

And now, we can estimate the graph. An exponential function where the base is smaller than 1, describes an exponential decay, and the term "-9" is applying a shift 9 units down, and also y = -9 is a horizontal asymptote. With all this and the points we just found:

Step-by-step explanation:

the midpoint coordinates between 2 points A and B are

((xa + xb)/2, (ya + yb)/2)

xa = 3

ya = 0

and so we get

(3 + xb)/2 = 0

3 + xb = 0

xb = -3

(0 + yb)/2 = 5

yb = 10

therefore, S = (-3, 10)

Answer:

x = 1

Step-by-step explanation:

Horizontal asymptotes are the y-values for which a particular function is undefined;

Finding the horizontal asymptote for linear reciprocal function is quite simple;

For this kind of function, where there is no x term in the numerator, the horizontal asymptote is just equivalent to the constant added to the fraction (note: having no added constant is the same as having an added 0);

so:

f(x) = 1/(x - 1) = (1/( - 1 )) + 0

The horizontal asymptote is y = 0 for this function.

If it was F(x) = (1/(x - 1)) + 1, the horizontal asymptote would be  y = 1

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The equation of the perpendicular line will be y = –(1/3)x + d. Then the correct option is B.

Let the equation of the line be y = ma + c. Then the equation of the perpendicular line that is perpendicular to the line y = mx +c is given as y = -(1/m)x + d. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation is given below.

3x – y = 10

y = 3x – 10

Then the equation of the perpendicular line is given as,

y = –(1/3)x + d

The equation of the perpendicular line will be y = –(1/3)x + d. Then the correct option is B.

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