A rectangular garage has an area of 42 square meters and a perimeter of 26 meters. What are the dimensions of the garage?

Answer:

y = 3/4x -2

Step-by-step explanation:

Points on the graph: (4, 1) and (0, -2)

Slope:

m=(y2-y1)/(x2-x1)

m= (-2-1)/0-4)

m=(-3)/(-4)

m = 3/4

Point-slope:

y - y1 = m(x - x1)

y - 1 = 3/4(x - 4)

y - 1 = 3/4x - 3

y = 3/4x -2

Answer:

A, E, G

Step-by-step explanation:

Answer:

A

E

G

Step-by-step explanation:

When you divide A, E, and G with the common factor, they all equal 5 : 9

Answer:

15.736

Step-by-step explanation:

Answer:

yes, 29 is a monomial

Step-by-step explanation:

Answer:

21.4

Step-by-step explanation:

just trust me i come from DeltaMAth

Answer:

[tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Area - Integrals

U-Substitution

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Area of a Region Formula:                                                                                     [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

F: y = √(15 - x)

G: y = √(15 - 3x)

H: y = 0

Step 2: Find Bounds of Integration

Solve each equation for the x-value for our bounds of integration.

F

G

This tells us that our bounds of integration for function F is from 0 to 15 and our bounds of integration for function G is 0 to 5.

We see that we need to subtract function G from function F to get our area of the region (See attachment graph for visual).

Step 3: Find Area of Region

Integration Part 1

Step 4: Identify Variables

Set variables for u-substitution for both integrals.

Integral 1:

u = 15 - x

du = -dx

Integral 2:

z = 15 - 3x

dz = -3dx

Step 5: Find Area of Region

Integration Part 2

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Area Under the Curve - Area of a Region (Integration)

Book: College Calculus 10e

Answer:

53 feet.

Step-by-step explanation:

2(Width)+2(Length)=Perimeter

--> 2(43)+2(Length)=192

--> 86+2(Length)=192

--> 2(Length)=106

Length = 53

Answer:

-8.45, 0.95, 8.25

Step-by-step explanation:

The easiest way to do this is to convert the fraction to a decimal, and then compare the values.

8 8/32 is equal to 8 and 1/4. Because 1/4 = 0.25, 8 and 8/32 equals 8.25.

Now, let's compare values.

Numbers we need to compare: -8.45, 0.95, 8.25

The smallest number is -8.45, then 0.95, and lastly, 8.25.

Thus the answer is

-8.45, 0.95, 8.25

Answer:

? – (20 – 4x – 5x2) = 20 – 7x2, so ?  = 20 – 7x2 + (20 – 4x – 5x2)

?  = 20 – 7x2 + (20 – 4x – 5x2)=20-7x²+20-4x-5x²=40-12x²-4x

the answer is 40-4x-12x^2

Step-by-step explanation:

Answer:

40-4x-12x^2

Step-by-step explanation:

Answer:

g= green chips       r= red chips

3 boxes of green chips meaning for each box there are 2 chips so there are 6 green chips. 5 boxes of red chips meaning for each box there are two chips so there are 10 red chips and 6 g + 10r = 16 chips in total

Step-by-step explanation:

Answer:

524,288

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

You should add the weights of each kitten and then divide by the number of kittens. Ex. There are 5 kittens weighing 2, 1, 3, 2, and 2. So you would add those to get 10 and divide by the number of kittens which is 5 to get an average of 2.

So in this case you would first add the weight of the kittens

Then divide that by the number of kittens

Then the quotient would be the average of the weight of the kittens in the shelter.

Answer:

**********************868/14=62********************

Step-by-step explanation:

Answer:

+*~868 ÷ 14 = 62~*+

(Hope this helps! Btw, I answered first. Brainliest please! :D)

Answer:

5cd

Step-by-step explanation:

Answer:

#3 is the answer

Step-by-step explanation:

Answer:

E = 96

Step-by-step explanation:

Given the following data;

E = kf .......equation 1.

When E = 24, f = 6

First of all, we would have to find the constant k;

Substituting the values into eqn 1, we have;

24 = k6

k = 24/6

k = 4

To find the value of E, when f = 24

E = kf

Substituting into the equation, we have;

E = 4*24

E = 96

Answer:

B. checking the angle measure of T

Step-by-step explanation:

I used process of elimination, A and C are both incorrect because to draw a line you would have the flat side of the protractor along the edge of the line and this is not shown in the image. D is incorrect because to check the length you would need the have a ruler on the flat side and use that or use a separate ruler.

Option B is correct,  checking the angle measure of angle T is the step is he doing now with his protractor

Measurement is the quantification of attributes of an object or event, which can be used to compare with other objects or events.

Given that Lewis is constructing triangle RST.

A triangle is a three-sided polygon that consists of three edges and three vertices.

drawing a line segment from point R to point S is not correct as we can use straight edge to draw the line.

In the same way  drawing a line from point R through point T is also not correct.

checking the length of side ST can be done by straight edge.

As we observe Lewis is using a protractor which is used to measure the angle.

Hence, checking the angle measure of angle T is the step is he doing now with his protractor

To learn more on Mensuration click:

https://brainly.in/question/640489

#SPJ3

Answer:

no

Step-by-step explanation:

pls give brainliest :)

Answer:

Step-by-step explanation:

x/4.8 < 1.25                             Multiply both sides by 4.8

4.8 x /  4.8 < 1.25*4/8

x < 6

What this means is that every every number less than 6 is a solution to this inequality.

Graph 32 (shown below is a red area. The important thing to note is that the boundary at 6 is dotted which means it is not included in the solution.

What you want is more closely related to a number line and sort of looks like this

-----o-----o-----o-----o-----o-----o-----o-----o

    -1      0      1       2      3      4      5     6

<===============================o                                                              

Explanation

The top line is the actual number line or the graph

o------- is the way it is made.

The second line are the number divisions of the number line

The third line shows which way the inequality goes and that it is open at 6. Open means that you can get close to 6 but you can't touch 6.

Answer:

180 sq.cm

Step-by-step explanation:

A = 10 x 10 + 16 x 5 x 1/2 x 2

A = 100 + 16 x 5

A = 100 + 80

A = 180 square cm

Hope that helps!

Answer:

100

Step-by-step explanation:

Answer:ere

You have to

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

i had that question

uhm... I’m sorry I don’t actually know the answer to your question but I’m trying to get some points...

Answer:

$756.00

Step-by-step explanation:

6.30 x 2 = 12.60/hour

12.60 x 60 = $756.00

Answer:

The perimeter is:

24

Step-by-step explanation:

Perimeter is the outside frame of the area. Add the dimensions together to get your answer. Adding:

7+7= 14

5+5= 10

10+14= 24

:) Hope this helps have a wonderful day!

Answer:

a) 0.7639 = 76.39% probability that at least 3 passengers will have been stopped due to change in their pockets.

b) 0 is less than 2.5 standard deviations from the mean, so it would not be unusual.

Step-by-step explanation:

For each passenger, there are only two possible outcomes. Either they will have been stopped due to a change in the pocket, or not. Passengers are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

A measure is considered unusual if it is more than 2.5 standard deviations of the mean.

25% chance that the cause is change in the passenger's pocket.

This means that [tex]p = 0.25[/tex]

During a given hour, 15 passengers are stopped because of a signal from the metal detector.

This means that [tex]n = 15[/tex]

a) Find the probability that at least 3 passengers will have been stopped due to change in their pockets.

This is

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{15} = 0.0134[/tex]

[tex]P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{14} = 0.0668[/tex]

[tex]P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{13} = 0.1559[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0134 + 0.0668 + 0.1559 = 0.2361[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.2361 = 0.7639[/tex]

0.7639 = 76.39% probability that at least 3 passengers will have been stopped due to change in their pockets.

b) If 15 passengers are stopped by the detector, would it be unusual for none of these to have been stopped due to change in the pocket

First we find the mean and the standard deviation:

[tex]E(X) = np = 15*0.25 = 3.75[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15*0.25*0.75} = 1.68[/tex]

3.75 - 2.5*1.68 = -0.45

0 is less than 2.5 standard deviations from the mean, so it would not be unusual.