A rectangular garden has length and width as given by the expressions below.
Length: 4 - 7(3x + 4y)
Width: 3x(-2y)
Write a simplified expression for the perimeter of the rectangle.
y
ху

Answers

Answer 1

Answer:

8 - 42x - 56y - 12xy

Step-by-step explanation:

Length = 4 - 7(3x + 4y)

= 4 - 21x - 28y

Width = 3x(-2y)

= -6xy

Perimeter of the rectangle = 2(length + width)

= 2{(4 - 21x - 28y) + ( -6xy)}

= 2(4 - 21x - 28y - 6xy)

= 8 - 42x - 56y - 12xy

Perimeter of the rectangle = 8 - 42x - 56y - 12xy


Related Questions

i need the base and hight

Answers

Answer:

Height = 5 and Base = 10

Step-by-step explanation:

The base of the parallelogram is twice the perpendicular height of the parallelogram. The area of the parallelogram is 50 cm².

Formula for area of parallelogram = base × height

Base = 2h

Height = h

∴ Area = 2h × h = 50

Solution:

2h × h = 50

2h² = 50

[tex]\frac{2h^{2} }{2} = \frac{50}{2}[/tex]

h² = 25

[tex]\sqrt{h^{2} } = \sqrt{25}[/tex]

h = 5

∴ height = 5 and base = 2(5) = 10

The quartile deviation and coefficient of quartile deviation of a continuous frequency distribution are 2 and 0.25 respectively. Find lower and upper quartiles.

Answers

Answer:

Lower quartile = 6

Uppwr quartile = 10

Step-by-step explanation:

Coefficient of quartile deviation = 0.25

Quartile deviation = 2

Coefficient of quartile deviation = (Q3 - Q1) / (Q3 + Q1)

Quartile deviation = (Q3 - Q1) / 2

Hence;

Quartile deviation = (Q3 - Q1) / 2 = 2

Q3 - Q1 = 2 * 2

Q3 - Q1 = 4 - - - - (1)

Q3 = 4 + Q1 - - - - (2)

(Q3 - Q1) / (Q3 + Q1) = 0.25

Q3 - Q1 = 4

4 = 0.25(Q3 + Q1)

Q3 + Q1 = 4 / 0.25

Q3 + Q1 = 16 - - - - (3)

Put Q3 = 4 + Q1 in (3)

4 + Q1 + Q1 = 16

4 + 2Q1 = 16

2Q1 = 16 - 4

Q1 = 12 / 2

Q1 = 6

Q3 = 4 + Q1

Q3 = 4 + 6

Q3 = 10

The voltage E in an electrical circuit is modeled by E=3.8cos(110π t). What is the maximum voltage?

Answers

Answer:

Max E=3.8 Voltage

Step-by-step explanation:

[tex]maximum-value -of cos(\theta) =1, when \theta=0,360,720\\110\pi t=0, therefore t=0, 1.04, 2.08 etc[/tex]

The maximum voltage for the electric circuit is E = 3.8 when the value of the trigonometric function cos(110π t) has the maximum value = 1, from the range of cosine function.

What is the range of the trigonometric function cosine?

The range of the trigonometric function of cosine, that is, cos θ, is [-1, 1], that is, -1 ≤ cos θ ≤ 1.

How do we solve the given question?

We are given that the voltage E in an electrical circuit is modeled by E = 3.8cos(110π t).

We are asked to find the maximum voltage E that can be obtained from the circuit.

The voltage E = 3.8cos(110π t).

In the given formula 3.8 is constant and cos(110π t) is variable. The value of E is maximum when the trigonometric function cos(110π t) attains the maximum value.

Since its a cos function, the maximum value it can attain = 1, as the range of the trigonometric function of cosine, that is, cos θ, is [-1, 1], that is, -1 ≤ cos θ ≤ 1.

When the variable attains the maximum value = 1, the value of the voltage E  = 3.8*1 = 3.8.

∴ The maximum voltage for the electric circuit is E = 3.8 when the value of the trigonometric function cos(110π t) has the maximum value = 1, from the range of cosine function.

Learn more about the ranges of trigonometric functions at

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All squares are rectangles but not all rectangles are squares. Prove wheater this statement is true or false with an explanation

Answers

~All squares are rectangles, but not all rectangles are squares.
~All squares are rhombuses, but not all rhombuses are squares.
This statement is ✨True✨

will give brainliest !!PLSS HELP fast !! and explain

Answers

Answer:

C

Step-by-step explanation:

Difference means subtraction. That makes B incorrect.

D is wrong because we have no way of knowing if g and h are squares.

A is wrong because the numerical numbers (2 and 6) are not perfect squares. Even if you take out a 2 you are not left with numbers that are prefect squares.

That leaves with C which is the correct answer. The literals are perfect squares and so are the numbers.

Answer:

C

Step-by-step explanation:

has endpoints J(13, 8) and K(–6, –6). Find the coordinates of the midpoint of .

Answers

Answer:

the midpoint of it is 8,-6

Step-by-step explanation:

rhgsr egh

a square garden has an area of 6400 square find its perimeter

CAN SOMEONE HELP ME PLZ​

Answers

Answer:

what is it's perimeter?

What is the slope and y intercept of the equation?
y=1/2x
m=
b=

Answers

⊹˚ʚ ❑Answer︰slope is 1/2 and y-int. is 0

      ✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D

Point P (a, b), where neither a orbis equal to 0, is subject to the following operations, one after the other in any order:
reflection about the x-axis, reflection about the y-axis, reflection about the origin.
What will be the final position of point P?

Answers

Answer:

(a, b)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

Reflection is the flipping of an object about a point. If a point A(x, y) is reflected over x axis, the new point is at A'(x, -y). If the a point A(x, y) is reflected over y axis, the new point is at A'(-x, y). If a point A(x, y) is reflected over origin, the new point is at A'(-x, -y).

Given point P(a, b). It reflection about the x-axis gives P'(a, -b), then the reflection about the y-axis gives P"(-a, -b). Lastly, reflection about the origin gives P"'(a, b)

5) Last week a Pizza Hut sold 36 cheese pizzas, 64 pepperoni pizzas, and 20 veggie pizzas. Based on these data, which number is closest to the probability that the next customer will order a cheese pizza?

Answers

Answer:

[tex]P(Cheese) = 0.30[/tex]

Step-by-step explanation:

Given

[tex]Cheese = 36[/tex]

[tex]Pepperoni = 64[/tex]

[tex]Veggie = 20[/tex]

Required

[tex]P(Cheese)[/tex]

This is calculated as:

[tex]P(Cheese) = \frac{Cheese}{Total}[/tex]

[tex]P(Cheese) = \frac{36}{36+64+20}[/tex]

[tex]P(Cheese) = \frac{36}{120}\\[/tex]

[tex]P(Cheese) = 0.30[/tex]

Which statements are true about the graph of
y< 2x + 1? Check all that apply.
y < 2
The slope of the line is 1.
O The line is solid.
The area below the line is shaded.
A solution to the inequality is (2, 3).
The x-intercept of the boundary line is (-3,0).

Answers

Answer:

I think the answer is The x-intercept of the boundary line is (-3/2,0).

Step-by-step explanation:

the x-intercept of boundary line is (-3,0)

Step-by-step explanation:

hope it helps thanks❤

Brainliest, 10 points

You can convert or translate mathematical expressions into verbal statements and verbal statements into mathematical expressions by using the following: (Select all that apply)

question mark
periods
capital letters
commas

Answers

commas and capital letters

period, commas. question marks

1. A researcher would like to compare the effectiveness of video versus reading for communicating information to adolescents. A sample of n1= 10 adolescents is given a pamphlet explaining nuclear energy and told that they will be tested on the information. A separate sample of n2= 10 adolescents is shown a video that contains the same information presented in a fast-paced visual form and told that they will be tested. One week later all 20 subjects are given a test on nuclear energy. The average score for the pamphlet group was 1= 51 with s12= 16. The video group averaged 2= 46 with s22= 20. Conduct a t-Test (two-tail, α = .05) for two Independent groups to see if there is a significant difference between the two groups (follow the Handout).

Answers

Answer:

There is significant statistical evidence to suggest there is a difference between the groups

Step-by-step explanation:

The number of adolescents in the sample that were given a pamphlet, n₁ = 10

The average score of those given a pamphlet, [tex]\bar x_1[/tex] = 51

s₁² = 16

The number of adolescents in the sample that were given a video, n₂ = 10

The average score of those given a video, [tex]\bar x_2[/tex] = 46

s₂² = 20

The alpha level of the test, α = 0.05

H₀ = No difference

Hₐ = Difference between the groups

The test statistic for the difference in mean is given as follows;

[tex]t=\dfrac{(\bar{x}_1-\bar{x}_{2})}{\sqrt{\dfrac{s_{p}^{2} }{n_{1}}+\dfrac{s _{p}^{2}}{n_{2}}}}[/tex]

Plugging in the values, gives;

[tex]t=\dfrac{(46-55)}{\sqrt{\dfrac{18 }{10}+\dfrac{18}{10}}} \approx -4.73[/tex]

The degrees of freedom, n₁ + n₂ - 2 = 20 - 2 = 18

The critical-t = 2.101

Therefore

Given that the test statistic is larger than than the critical-t, we reject the null hypothesis that there is no difference

someone plz help me!!

Answers

Answer:

P'=(0,3)

Step-by-step explanation:

P'=(-5+5, 7-4)

5 x 1/7


The question



































Answers

as a fraction the answer is: 5/7

Answer:

5/7 or 0.71 is the answer

If θ is an angle in standard position and its terminal side passes through the point (-4,-9), find the exact value of \tan\thetatanθ in simplest radical form.

Answers

Given:

θ is an angle in standard position and its terminal side passes through the point (-4,-9).

To find:

The exact value of tanθ in simplest radical form.

Solution:

If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of tanθ is:

[tex]\tan \theta=\dfrac{y}{x}[/tex]

It is given that, θ is an angle in standard position and its terminal side passes through the point (-4,-9). So, t he exact value of tanθ is:

[tex]\tan \theta=\dfrac{-9}{-4}[/tex]

[tex]\tan \theta=\dfrac{9}{4}[/tex]

Therefore, the required value is [tex]\tan \theta=\dfrac{9}{4}[/tex].

17. Find the area of a triangle whose base is 6 cm and height is 8 cm.
48 square cm
24 square cm
48 cm
24 cm

Answers

Answer:

24 square cm

Step-by-step explanation:

Answer:

48cm

Step-by-step explanation:

Because 6 times 8= 48cm

can someone please help PLEASE ​

Answers

U: -2,-2
B: -5, 0
K: -5, -3
Y: -4, -3

I believe so..

Which of the following is the correct definition of payment shock??

Answers

Answer:

payment shock refers to a dramatic increase in an individual's debts and liabilities that may cause them to default on their financial obligations. Put simply, payment shock occurs when, rather suddenly, someone is obligated to pay more in monthly debt than they can afford from their income

Answer: The new payment after the initial fixed-rate period is much higher

than the homeowner expected.

Step-by-step explanation: took the quiz.

A rectangular prism has a height of 10 inches, breadth of 19 inches and length twice the height. What is the volume of the prism?

Answers

Answer:

3800

Step-by-step explanation:

Volume= Length x width x height

v=20x19x10

v=3800 inches²

Brainliest please

Solve for X. the Polygons in each pair are similar.

Answers

Answer:

x = 7

Step-by-step explanation:

If the triangles are similar, the side length ratios have to be the same

49                 63

------------- = ---------

42                  8x-2

Using cross products

49 ( 8x-2) =42 (63)

Divide each side by 49

8x-2  = 42*63/49

8x -2 = 54

Add 2 to each side

8x = 56

Divide b 8

8x/8 = 56/8

x = 7

If you put 700 into a savings account that's earns 1% interest compound monthly how much will you have in 5 years

Answers

Answer:

In 5 years I will have $ 1,151.71.

Step-by-step explanation:

To determine, if I put 700 into a savings account that's earns 1% interest compound monthly, how much will I have in 5 years, the following calculation must be performed:

700 x (1 + 0.01 / 12) ^ 12x5 = X

700 x (1 + 0.008333) ^ 60 = X

700 x 1.64530 = X

1,151.71 = X

Therefore, in 5 years I will have $ 1,151.71.

You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 145 feet tall. You measure the angle of elevation to the top of the lighthouse at 5 degrees. How far are you from the bottom of the lighthouse? *

Answers

Answer:

1657.14 ft

Step-by-step explanation:

Tan = opposite / adjacent

tan 5 = 145 / adjacent

0.0875 =  145 / adjacent

adjacent = 145 / 0.0875

= 1657.14 ft

Please help I’ll give brainliest

Answers

Answer:

Exponent or index

Step-by-step explanation:

An exponent or index is a number or letter written above and to the right of a mathematical expression called the base.

It indicates that the base is to be raised to a certain power.

Here,

3, 4 and 12 are the letters which are written above the base 2.

So,

3, 4 and 12 are exponent or index

Solve the absolute value inequalty ⎜3x + 5⎟≤ - 2 a No Solution b - 2 ≤ x ≤ - 7 c All real numbers d -7/3 ≤ x ≤ -3/7

Answers

Answer:

Step-by-step explanation:

First, absolute value is always POSITIVE ⇒ the given inequality has No Solution!!

Just to show you how to solve this kind of problems:

1). If (3x + 5) ≥ 0, then 3x + 5 ≤ - 2

3x ≤ - 5 - 2

3x ≤ - 7

x ≤ - [tex]\frac{7}{3}[/tex]

2). If (3x + 5) < 0, then - (3x + 5) ≤ - 2

3x + 5 ≥ 2

3x ≥ - 3

x ≥ - 1

x ∈ ∅

find the outer perimeter of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate π.​

Answers

Answer:

19.42 ft.

Step-by-step explanation:

The diameter of the semicircle is 6, so 3.14 x 6 = 18.84. Since it is a semicircle, we divide that by 2 to get 9.42.

The hypotenuse of the right triangles only matter for the perimeter. 5 + 5 = 10, and 9.42 + 10 = 19.42 ft.

The outer perimeter is 19.42 ft.

What is perimeter?

Perimeter is the distance around the edge of a shape.

Given:

radius= 3 ft

height= 4 ft

slant height= 5 ft

diameter of the semicircle is 6 feet.

So,

= 3.14 x 6 = 18.84.

Since it is a semicircle,

=18.84/2

=9.42 feet

Now, the perimeter.

= 5 + 5 +9.42

= 19.42 ft.

Hence, the perimeter is 19.42 feet.

Learn more about perimeter here:

https://brainly.com/question/20759336

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The area of a rectangular field is 7626m2. If the length of the field is 93m, what is its width?

Answers

Answer:

The width is [tex]82m[/tex]

Step-by-step explanation:

------------------------------>>>>

The formula to find the area of a rectangle is [tex]A=lw[/tex]

We already know the area of the rectangular field which is [tex]7626m[/tex]

We already know the length is [tex]93m[/tex]

--------------->>>>

Now let's substitute [tex]7626[/tex] for [tex]A[/tex] because that's the area and substitute [tex]93[/tex] for [tex]l[/tex] because that's the length. After that, let's solve to find the width.

[tex]7626=93w[/tex]

Divide both sides by 93 because that's the opposite of multiplication.

[tex]82=w[/tex]

--------------->>>>

This means that the width of the rectangular field is [tex]82m[/tex]

Hope this is helpful

Craig threw a handful of identically shaped buttons into the air then collected 14 bottoms that landed on the carpet. Is this sample of the buttons likely to be biased yes or no

Answers

Answer:

possible?? but I think that there is a typo, and that there would not be a bias

Step-by-step explanation:

can we assume that there are no typos in the question

he threw BUTTONS in the air, and look at buttons that landed with the BOTTOMS facing up ??? in that case the weight might bias the orientation of the landing... I think that you have a typo and it just says that he collected 14 BUTTONS, in that case given that they are "IDENTICAL" we most likely can assume that there would be no bias (size color, texture are all the same)

Please help I really need ur help please

Answers

Answer:

y = 3x - 30

Step-by-step explanation:

First, put both equations into slope-intercept form.

x + 3y - 4 = 0

3y = -x + 4

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

2x + 5y - 20 = 0

5y = -2x + 20

y = (-2/5)x + 4

For a line to be perpendicular to y = (-1/3)x + (4/3), its slope should be the opposite and reciprocal of this line's slope.

The slope of y = (-1/3)x + (4/3) is (-1/3). The slope of a perpendicular line is 3.

To find the x-intercept of y = (-2/5)x + 4, plug in 0 for y and find x.

0 = (-2/5)x + 4

x = 10

The equation of the line right now is y = 3x + b

Plug in (10, 0) to find the y-intercept.

0 = 3(10) + b

b = -30

The equation of the line is y = 3x - 30

HELPPPPPPPPPP!!!! IF ITS RIGHT I WILL MARK

Solve 3t + 2 = 5t - 4
Options:

t = 3
t = -1
t = 2

Answers

Answer:

t=3

Step-by-step explanation:

Heres why i think t=3

Replace the T in 3t+2

3x3+2

9+2=11

11=5t-4

Now Replace the t again by 3

5x3-4

15-4

11

11=11

T=3

Answer:

t = 3

Step-by-step explanation:

3t + 2 = 5t - 4

2 + 4 = 5t - 3t

6 = 2t

6/2 = 2/2t

t = 3

if this helps you, please mark brainliest!

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