The length of a rectangle is
3x + 7 and the width of the
rectangle is x – 2.
What is the area of the figure?

Answers

Answer 1

Answer:

Area = 3x^2 +x -14 units^2

Step-by-step explanation:

Area of a rectangle is (width x height)

Area = (x-2)*(3x+7)

Area = 3x^2 +x -14


Related Questions

A road-roller levels 3000m of road in 4hours How many metres does it level in a 24 hourday? please help me​

Answers

Answer:

18,000 meters

Step-by-step explanation:

We know:

v = 4 and t = 24

Substitute:

{ v = 4      ⇒ INTO FORMULA ⇒ D = V × T : D = 4 × 24

{ t = 24

Cross out the common factor:

⇒ 6 × 3000

Calculate the product or quotient:

⇒ 18,000

Using the minimums in the table, is the sample minimum an unbiased estimator?

Yes, 15 occurred the most in the sample minimums.

Yes, the minimum of the sampling distribution of the minimums is 15.

No, 60% of the possible minimum values of the samples is more than 15.

No, the mean of the sampling distribution of the sample minimums is 16, which is not 15.

Answers

The sample minimum isn't an unbiased estimator as D. The mean of the sampling distribution of the sample minimums is 16, which is not 15.

What is a sampling distribution?

A sampling distribution simply means a probability distribution that is obtained from a larger number of samples drawn from a population.

From the complete question, the sample minimum isn't an unbiased estimator as the mean of the sampling distribution of the sample minimums is 16, which is not 15.

In this case, the minimum of the ages of the officer is 15.

Learn more about sampling on:

https://brainly.com/question/24466382

write an equation that is parallel to 2x-3y=15 that passes through the point (9,-5)

Answers

111+47+794+4628$=77-47=6,7

They are ordering 120 pounds of seafood for the week. How many should be fish?

Answers

Answer: 43.2

Step-by-step explanation: 100% = 120pounds

36% = 120/100 × 36/1

There are 18 gallons of gas in a car at the
beginning of a trip. Each hour into the trip,
2.5 gallons are used. Write an equation to
represent the gas left in the car atter each
hour into the trip. Identify your variables.

Answers

Answer:

18/2.5 = 7.2

Step-by-step explanation:

Since there are 18 gallons at the beginning of the trip you divide by 2.5 to find out how much gas is left after each hour.

Which graph shows a line with an x-intercept of -5?

Answers

Answer:

The answer is A.

Step-by-step explanation:

The only option is A. since an intercept of (-5,0)

Option B has y-int: (0,-5)
Option C has y-int: (0,5)

Option D has x-int(5,0)

Please let me know the answer to 6*6

Answers

Answer:

6*6=36

Step-by-step explanation:

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
27:63

Answers

Answer:

[tex]\frac{3}{7}[/tex]

Step-by-step explanation:

expressing the ratio as a fraction, that is

27 : 63

= [tex]\frac{27}{63}[/tex] ( cancel numerator/ denominator by 9 )

= [tex]\frac{3}{7}[/tex] ← in simplest form

Which is a stretch of an exponential decay function?

Answers

Answer:

The correct option is C. The function [tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex] is a stretch of an exponential decay function.

Step-by-step explanation:

The general form of an exponential function is

[tex]f(x)=ab^x[/tex]

where, a is the initial value and b is the growth factor.

If b<1, then it represents a decay function and if b>1, then it represents a growth function.

Let k be a stretch and compression factor.

[tex]g(x)=kf(x)[/tex]

If k<1, then it represents vertical compression and if k>1, then it represents vertical stretch.

In third function

[tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex]

[tex]k > 1[/tex]

[tex]b < 1[/tex]

Therefore the function [tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex] is a stretch of an exponential decay function.

5.
What is the area of the shaded region?
10 m
12 1
14 m2
134 m2
C
120 m-
D
106 m-

Answers

Answer:

D. 106m2

Step-by-step explanation:

The table shows what 200 randomly selected customers ordered for dinner at a restraint. Based on the table, how many of the next 30 customers will probably order lobster?

Answers

It's impossible to answer this without the table...

Answer:

12

Step-by-step explanation:

set up your proportion 80/200=X/30 and cross multiply.
200X=2400 then isolate the variable by dividing 2400 by 200. This gives you 12 and that is your answer.

Stan has a Homeowner’s Insurance policy on his house. He decides to build a garage. He needs to take out a building permit for the garage which costs $125. He also needs to update his Homeowner’s policy to include other structures on the property since he does not have any other buildings but his house currently. The cost for this is $245. Stan has $20,000 saved, and the garage price is $19,700. How much more will Stan need to cover the cost of the garage with permit and insurance included?

Answers

Answer:

  $70

Step-by-step explanation:

The additional amount Stan needs will be the difference between his expected costs and the amount he has saved.

__

Costs

  $19,700 +125 +245 = $20,070

Needed

  $20,070 -20,000 = $70

Stan will need $70 more to cover the cost of the garage, permit, and insurance.

What is the mode?

8 ,9 ,10 ,9 ,8 ,10 ,10

Answers

Answer:

10

Step-by-step explanation:

The mode is the value in a data set which is the most frequently repeated.

In this case, 10 repeats 3 times, 9 and 8 each repeat twice.

Therefore, 10 is the mode.

Answer:

10

Step-by-step explanation:

Mode means which of the numbers you see more like 8 ,9 ,10 ,9 ,8 ,10 ,10

in this you can see 10 more often then you see the others

One of the legs of a right triangle measures 1 cm and its hypotenuse measures 2 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

1.7 cm

Step-by-step explanation:

The formula to find the hypotenuse: [tex]c^{2} = a^{2} +b^{2}[/tex]. In this case, the hypotenus is given.

1) Substitute the values into the formula.

[tex]2^{2} = 1^{2} +b^{2}[/tex]

2) Solve for [tex]b[/tex].

[tex]4 = 1 + b^{2} \\4 - 1 = b^{2}\\3 = b^{2}\\\sqrt{3} = b\\1.73205 = b[/tex]

3) Round the answer to the nearest tenth.

[tex]1.7 = b[/tex]

ok so I'm bad at Circumference and stuff can someone tell me the answer

Answers

Answer:

r=2.5

Step-by-step explanation:

with a diamter of 5 you divied it by 2 to get the answer which would be 2.5

Please help thank you :) (30 points)

Answers

Answer:

True, Vertical, equal, equal, equal

Step-by-step explanation:

Just change only the second fill-in to "vertical angle" see image.

if a=3 and b=-4 find the value of (a-ab)

Answers

Your answer would be “ (3-34)”

What number is a reasonable estimate for 5,664 + 8,622

Answers

Answer:

Step-by-step explanation:

A reasonable estimate could be 14,300, or 14,000, or also you could do 14,290

14,300 or 14,000:) hope that helps

Avani has 5 posters she wants to hang on the wall. How many different ways can the posters be arranged in a row?​

Answers

Given ↓Avani has 5 postersTo Find ↓The number of ways Avani can arrange her 5 posters

Calculations ↓

First, how many ways are there for the 1st poster?

It can be the first, the 2nd, the 3rd, the 4th, or the 5th.

How many ways are there for the 2nd poster?

there are 4 ways, because one of them is occupied by the first poster

There are 3 ways for the 3rd poster, 2 ways for the 4th poster and 1 way for the 5th poster.

Multiply the number of ways together : 120 ways

These are the ways we can arrange the 5 posters ↓

[tex]\boxed{\\\begin{minipage}{2 cm}poster~1 \\ \\ \end{minipage}}[/tex]     [tex]\boxed{\\\begin{minipage}{2cm}poster~2 \\ \\ \end{minipage}}[/tex]   [tex]\boxed{\\\begin{minipage}{2cm}poster~3 \\ \\ \end{minipage}}[/tex]  [tex]\boxed{\\\begin{minipage}{2cm}poster~4 \\ \\ \end{minipage}}[/tex]  [tex]\boxed{\\\begin{minipage}{2cm}poster~5 \\ \\ \end{minipage}}[/tex]

We could replace P1 (Poster 1) with any of the 4 posters here, and do the same thing with the other posters...

Overall, believe it or not, there are 120 ways to arrange these 5 posters.

A quick way to calculate this is

5!=5*4*3*2*1

120

Number of ways ↓

120

hope helpful ~

There are 120 different ways the posters can be arranged in a row

How many different ways can the posters be arranged in a row?​

from the question, we have the following parameters that can be used in our computation:

Number of posters = 5

This means that

n = 5

The different ways the posters can be arranged in a row is calculated as

Ways = n!

So, we have

Ways = 5!

Expand

Ways = 5 * 4 *3 * 2 * 1

Evaluate

Ways = 120

Hence, the number of ways is 120

Read mroe about permutation at

https://brainly.com/question/1216161

#SPJ3

The p-value is a probability that measures the support (or lack of support) for neither the null nor the alternative hypothesis. either the null or the alternative hypothesis. the alternative hypothesis. the null hypothesis.

Answers

The true statement is that the p-value is a probability that measures the support (or lack of support) for the null hypothesis.

How to determine the true statement?

In a statistical test, the p-value validates or invalidates the null hypothesis

This means that

If p > α, then we accept the null hypothesisOtherwise, the null hypothesis is rejected

So the true statement about the p value is that it measures the support (or lack of support) for the null hypothesis.

Read more about p-values at:

https://brainly.com/question/13786078

If the measures of two interior angles of a triangle are 25° and 84º, what is the measure of the third
angle?

Answers

Answer: The measure of the third angle would be 71

Step-by-step explanation:

Solve this problem.
348-3435+847

Answers

Answer:

3934

Step-by-step explanation:

PLS MARK BRAILIEST

Answer:

-2240

Step-by-step explanation:

1.  348-3435 = -3087

2. -3087 + 847 = -2240

(x-1)2-8=16 in radical form

Answers

Answer:

x=13

Step-by-step explanation:

simplify the expression

Answers

Use multiplication frame to simplify the numerator and the denominator use a^2 +b^2
The answer is 2x+1 over x-3


2x+1/x-3

A stadium cost £600 million.
13/15 of this cost was for the building.
The rest of the cost was for the land.
Work out the cost of the land

Answers

If 13/15 was building then that means 2/15 was land( 1-13/15 = 2/15)

Multiply the total cost by 2/15


600 million x 2/15 = 80 million


the land cost 80 million

NEED HELP I WILL GIVE 50. THIS IS MATH

Answers

Answer:

68!

Step-by-step explanation:

Side c (side a being 32, and side b being 60) is equal to 68.

I like to use the Omni calculator for figuring out the missing side of the triangle (website)

hope this helps:)

Complete the two column proof
Given angle to an angle five are supplementary
Prove: I || m

Answers

Answer:

Step-by-step explanation:

Combine the like terms and rewrite this expression:

2n+4z+6-n+10z-4

Answers

Answer:

n+14z+2

Step-by-step explanation:

2n+4z+6-n+10z-4

2n-n+4z+10z+6-4

=n+14z+2

Ben had two copies of the same poster in different sizes. Both posters are in the shape of a square. The side length of the two posters is in the ratio of 3:7. If the perimeter of the smaller poster is 27 cm, what is the perimeter of the bigger poster?

Answers

Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

the question states that a person named Ben has two copies of the same poster having different sizes , provided they both are squares !

further , we've been given that the side length of the posters are in the ratio of 3:7 and the perimeter of the smaller posted is 27 cm .

We've been asked to find the perimeter of the bigger poster !

so let's start ~

[tex]let\: the \: length \: of \: the \: smaller \: poster \: be \: 3x \\ \\ let \: the \: length \: of \: the \: bigger \: poster \: be \: 7x \\ \\ now \: , \: \\ \\ perimeter \: of \: square = 4 \times side \\ \\ \implies \: perimeter \: of \: shorter \: square = 4 \times 3x \\ \\ \implies \: 27 = 3x \\ \\ x = \cancel\frac{27}{3} \\ \\ \implies\red{\boxed{ \: x = 9 \: cm}}[/tex]

now ,

[tex]side \: length \: of \: bigger \: square = 7x \\ \\ \implies \: 7 \times 9 = 63 \: cm \\ \\ \therefore \: perimeter \: of \: bigger \: square = 4 \times 63 \\ \\ \bold\pink{\implies \: 252 \: cm}[/tex]

hope helpful :D

In a kickball game, a ball is kicked and travels along a parabolic path. The height h, in feet, of the kickball t seconds after the kick can be modeled by the equation h(t) = −16 t2 + 24t .

a. A fielder runs a route that will allow him to catch the kickball at about 3 ft above the ground. Write an equation that can be used to find when the fielder will catch the ball.
b. Use graphing technology to find out how long the kickball has been in the air when the fielder catches it on its descent. Round to the nearest hundredth.

Answers

Answer:

(a) h(t) = 3

(b) time = 1.36 seconds

Explanation:

equation: h(t) = -16(t)² + 24t

Part A

If the fielder catches the ball at the height of about 3 ft.

equation: h(t) = 3

Part B

using graphing technology, graphed below. (height, y = 3)

Additional *solving part B algebraically*

-16(t)² + 24t = 3

-16(t)² + 24t - 3 = 0

using quadratic equation

[tex]\bold{x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ when \ ax^2 + bx + c = 0}[/tex]

==================================

[tex]\sf t_{1,\:2}=\frac{-24\pm \sqrt{24^2-4\left(-16\right)\left(-3\right)}}{2\left(-16\right)}[/tex]

[tex]\sf t=\frac{3-\sqrt{6}}{4}, \ t=\frac{3+\sqrt{6}}{4}[/tex]

t = 1.36 seconds   and     0.14 seconds

The fielder shall catch the ball when the ball is falling, so time : 1.36 s

Answer:

See below ~

Step-by-step explanation:

a. Equation

In place of h(t), substitute 3 in its place3 = -16t² + 24tRearrange by bringing 3 to the other side-16t² + 24t - 3 = 0

b. Finding the duration of the kickball in air using graphing technology

Based on the graph (attached), the ball has been in the air for :1.5 seconds

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