Trapezoid PQRS is the image of a trapezoid ABCD after a sequence of translations.

Hint: The shapes are congruent (identical).


Tell whether each statement is True or False.

Answer:

a) 2.5x + 5  b) $5

Step-by-step explanation:

We know that the rate is 2.50 an hour, and she parked for 4 hours. Multiply 2.5 by 4 to get 10. This means that she spent 10 out of 15 of her dollars on the rate, meaning the initial fee was 5 dollars.

Answer:

a. y = 2.5x + 5

b. $5

Step-by-step explanation:

y = mx + b

m = slope is the fee per hour

b = y-intercept is the fixed fee

y = 2.5x + b

We know that she paid $15 for 4 hours, so we have point (4, 15). We now replace x and y in the equation with 4 and 15, respectively, and solve for b.

15 = 2.5(4) + b

15 = 10 + b

b = 5

a. The equation is:

y = 2.5x + 5

b. The initial fee is $5

Answer: I = $ 19.53

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 25%/100 = 0.25 per year,

then, solving our equation

I = 312.5 × 0.25 × 0.25 = 19.53125

I = $ 19.53

The simple interest accumulated

on a principal of $ 312.50

at a rate of 25% per year

for 0.25 years is $ 19.53.

Answer:

P = 5000

You need to multiply r and T together, then divide 312.50 by that.

Answer:

10

Step-by-step explanation:

28/2.8

280/28

= 10

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\textbf{The best thing to understand how to get the answer to this}\\\large\textbf{fraction or equation (whatever you would like to call it),}\\\large\textbf{you have to either to DIVIDE the numerator from the}\\\large\textbf{denominator or even convert the fraction to a division}\\\large\textbf{problem. I will show you what I meant, when we solve for}\\\large\textbf{the answer.}\\\\\\\large\textbf{We make your equation into a division problem since it is}\\\large\textbf{easier to solve now.}[/tex]

[tex]\\\\\\\large\textbf{Now, let's solve for the answer. }[/tex]

[tex]\large\textbf{Your equation: }\rm{\bf \dfrac{28}{2.8}}\\\\\large\textbf{Conversion of your equation: }\rm{\bf 28\div 2.8}\\\\\large\textbf{Simplify the conversion problem above}\\\\\large\textbf{You should have gotten the result: \boxed{\rm{\bf 10}}}[/tex]

[tex]\large\textbf{Now, let's see if the result if true by doing the OPPOSITE}\\\large\textbf{of division... which is multiplication. So we will take the}\\\large\textbf{denominator (the bottom number) which is, 2.8 and}\\\large\textbf{multiply it by the result you got from the division}\\\large\textbf{problem, which is 10.}[/tex]

[tex]\rm{\bf 2.8 \times \boxed{\bf 10}}\\\\\large\textbf{Work it out if you remembered the steps of multiplication.}\\\\\large\textbf{You should've gotten \boxed{\textsf{28}}}\\\\\large\textbf{So, yes \boxed{\textsf{10}} is your result to this equation,}[/tex]

[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{\mathsf{10}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& }\\\huge\textbf{enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

11.5

Step-by-step explanation:

the mean of a set of numbers is the sum divided by the number of terms

(15+4+6+12+16+20+16+3)/8

The required mean of the data for the sample of Dr. Frank's dentist office is  11.5.

Given that,
The number of patients treated at Dr. Frank's dentist's office each day was recorded for eight days: 15, 4, 6, 12, 16, 20, 16, 3. Using the given data, find the mean for this sample is to be determined.

The average of the values is the ratio of the total sum of values to the number of values.

Here,
The number of patients treated was recorded for eight days,
Sample space =  15, 4, 6, 12, 16, 20, 16, 3
n(s) = 8
Mean = (15 + 4 + 6 + 16 + 20 + 16 + 3) / 8
Mean = 92 / 8
Mean = 11.5

The required mean of the data for the sample of Dr. Frank's dentist office is  11.5.

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Answer:

C. 1/√2

Step-by-step explanation:

cos∅ is adjacent over hypotenuse:

cos45° = 1/√2

cos45° = √2/2

Alternatively, if you learned and memorized your unit circle, cos(π/2) = √2/2

Answer:

C.

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

1.  x = e^(x/y)   Taking logs:

log x =  x/y

x = y log x

Differentiating:

1 = dy/dx log x +  y * 1/x

dy/dx log x = (1 - y/x)

dy/dx =  (1 - y/x) / log x

dy/dx =  ((x - y)/ x) / log x

dy/dx = (x - y) / x log x)

2.  y^x = e ^(y - x)

Taking logs:

x log y = y - x   --------------(A)

y = x + x logy    --------------(B)

dy/dx = 1 + x * 1/y * dy/dx + 1*logy

dy/dx - dy/dx * x/y = 1 + log y

dy/dx ( (x - y) y))  = 1 + log y

dy/dx = y(1 + log y) / (y - x)

Using (A) and (B) :-

dy/dx =  x(1 + logy)(1 + logy) / x logy          The x's cancel, so:

dy/dx = (1 + logy)^2 / log y

Sorry I have to go right now..

The rest of the answers are  on the re-post of these questions

Answer:

[tex]Standard\ Form = {3n^2} m^{-2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{3m^2n} * 4.5n^3[/tex]

Required

Write in Standard Form

To start with; the two monomials have to be multiplied together;

[tex]\frac{2}{3m^2n} * 4.5n^3[/tex]

[tex]Standard\ Form = \frac{2 * 4.5n^3}{3m^2n}[/tex]

Split the numerator and the denominator

[tex]Standard\ Form = \frac{2 * 4.5 * n^3}{3 * m^2 * n}[/tex]

Multiply Like terms

[tex]Standard\ Form = \frac{9 * n^3}{3 * m^2 * n}[/tex]

Divide 9 by 3 to give 3

[tex]Standard\ Form = \frac{3 * n^3}{m^2 * n}[/tex]

Divide n³ by n to n²

[tex]Standard\ Form = \frac{3 * n^2}{m^2 }[/tex]

Split fraction

[tex]Standard\ Form = {3 * n^2} * \frac{1}{m^2 }[/tex]

From laws of indices;

[tex]\frac{1}{a^n} = a^{-n}[/tex]

[tex]Standard\ Form = {3 * n^2} * \frac{1}{m^2 }[/tex] becomes

[tex]Standard\ Form = {3 * n^2} * m^{-2}[/tex]

Multiply all together

[tex]Standard\ Form = {3n^2} m^{-2}[/tex]

Answer:

2 points the first 3 matches then 3 points the last 2 matches

Step-by-step explanation:

12 points in 5 matches and the first 3 are all the same then the other 2 increased by 1 point

They got 2 points the first 3 matches then 3 points the last 2 matches

2 + 2 + 2 (first 3 matches) = 6

3 + 3 (last 2 matches) = 6

6 + 6 = 12

Answer:

A) check attached picture

B) 272

C) 0.4478

Step-by-step explanation:

From the information given ;

A) The Venn diagram of the information can be found in the attached picture.

B) Number of students involved in both team sports and music.

n(student in sports team) = 385

n(students involved in music) = 450

Number of students involved in both music and team sport = y

Number of students not involved in either team sport or music = 87

Total number of students = 650

Therefore,

n(music alone) = 450 - y

n(team sport alone) = 385 - y

Adding the following:

n(music alone) + n(team sport alone) + n( both music and team sport) + n(neither music nor team sport) = Total number of students

450 - y + 385 - y + y + 87 = 650

922 - y = 650

922 - 650 = y

y = 272

Therefore, number of students involved in both music and team sport = 272

C) probability of being involved in team sport or in music.

P(being involved in music) = (450 - 272) / 650 = 0.2738

P(being involved in team sport) = (385 - 272) / 650 = 0.1738

P(involved in both) = 272 / 650 = 0.4184

P(involved in neither) = 87 / 650 = 0.1338

P(being involved in team sport) or p(being involved in music)

P(being involved in team sport) + p(being involved in music)

0.1738 + 0.2738 = 0.4478

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

Work Shown:

A = area of black square

A = 2*2

A = 4

B = area of white symbol

B = (1/3)*A

B = (1/3)*4

B = 4/3

C = total area

C = 4*2

C = 8

Divide the values of B and C to find the fraction of the total area the white symbol covers up.

B/C = (4/3)/8

B/C = (4/3) / (8/1)

B/C = (4/3) divided by (8/1)

B/C = (4/3) times (1/8)

B/C = (4*1)/(3*8)

B/C = 4/24

B/C = 1/6

Answer:

21

Step-by-step explanation:

f³ + 11g - 4h

Put f as 3, g as 2, and h as 7.

(3)³ + 11(2) - 4(7)

Solve the exponent and multiply.

27 + 22 - 28

Add or subtract.

= 21

Answer:

[tex] = 21[/tex]

Step-by-step explanation:

Given that,

[tex]f = 3 \\ g = 2 \\ h = 7[/tex]

Let's solve now,

[tex] {f}^{3} + 11g - 4h \\ {3}^{3} + 11 \times 2 - 4 \times 7 \\ 3 \times 3 \times 3 + 22 - 28 \\ 9 \times 3 + 22 - 28 \\ 27 + 22 - 28 \\4 9 - 28 \\ = 21[/tex]

Answer:

A = 5x · (3x + 7)

= 5x(3x) + 5x(7)

= 15x² + 35x meters

Answer:

15x^2+35x

Step-by-step explanation:

As the area formula is L*W, you're essentially doing the same thing here by multiplying both of these sides to get your area expression.

Take 5x and use the distributive property to multiply it with 3x+7 to get 15x^2+35x.

Answer:

704 pi in ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = pi ( 8)^2 * 11

V = pi (704)

V = 704 pi in ^3

Answer:

Step-by-step explanation:

Solution,

Radius(R)= 8 in.

Height (h)= 11 in.

Volume of cylinder=?

Now,

Volume of cylinder:

[tex]\pi {r}^{2} h[/tex]

[tex]\pi \: {(8)}^{2} \times 11 [/tex]

[tex]\pi \times 64 \times 11[/tex]

[tex]704\pi \: {inches}^{3} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

3 1/8

Step-by-step explanation:

1. You can add the 2 halves together making 1

2. Then add a 3/4 and one 1/4 together making another 1

3. With the remaining two 1/4s, that makes another half. So at the moment, you have 2 1/2

4. Convert 2 1/2 to eighths. 2 4/8

5. Finally add one 5/8.

So the answer is 3 1/8

Jill drinks [tex]\rm 3\dfrac{1}{8} gallons[/tex] of water in a week.

A Line plot can be defined as a graph that displays data as points or check marks above a number line, showing the frequency of each value.

It is given in the question that Jill drinks

1/4 gallons for 3 days

1/2 gallons for 2 days

5/8 gallons for 1 day

and 3/4 gallons for 1 day

The total amount of water Jill drinks is

(1/4)*3+(1/2)*2+(5/8)*1+(3/4)*1

=(3/4)+1+(5/8)+(3/4)

=25/8

[tex]\rm = 3\dfrac{1}{8} gallons[/tex]

Therefore Jill drinks [tex]\rm 3\dfrac{1}{8} gallons[/tex] of water in a week.

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Answer:

3/16

Step-by-step explanation:

All we have to do is multiply the top with the top and the bottom with the bottom:

15(1) = 15

20(4) = 80

15/80

We have our answer, but we can simplify it by dividing top and bottom by 5:

15/5 = 3

80/5 = 16

We have our final answer, 3/16.

Answer:3/16

Step-by-step explanation:15/20 x 1/4

The numerator (the upper number) would divide the denominator (the lower number) or the denominator would divide the numerator.

15/20 x 1/4

15 and 20 have something in common which is 5.so 5 in 15 is 3,5 in 20 is 4

15/20 x1/4

3/4 x 1/4

= 3/16

Answer:

132 degree

Step-by-step explanation: angle kjh is 132 degree and since lk is a straight line it is 180 degree. angle kjh is 132 degree so, angle LJM is 132 degree. This is because adjacent angles are equal as you can see, Angle LJM is adjacent to Angle KJH.

Answer:

Perimeter = 22.434

Step-by-step explanation:

To find the perimeter we need to find the length of all three sides, and we do that by finding the distance between the points that form the sides:

The formula for the distance between two points is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

side UV:

[tex]UV = \sqrt{(-2 - 3)^2 + (4 - 4)^2} = 5[/tex]

side VW:

[tex]VW = \sqrt{(3 - 3)^2 + (4 - (-4))^2} = 8[/tex]

side UW:

[tex]UW = \sqrt{(-2 - 3)^2 + (4 - (-4))^2} = 9.434[/tex]

So the perimeter is:

[tex]P = UV + VW + UW[/tex]

[tex]P = 5 + 8 + 9.434 = 22.434[/tex]

Answer:

Rs 1504

Step-by-step explanation:

Mr. Rai buys for Rs 1880.

He sells it to Mr. Sherpa at 20% discount.

1880 × 20%

= 376

1880 - 376

= 1504

Mr. Sherpa buys it for Rs 1504.

Answer:

Mr. Rai will be receiving $1504 if he sells the radio for 20%.

Step-by-step explanation:

To find a discount, move the decimal over twice on the percentage. After doing this, multiply that number by the original number. You will get a new number. Subtract the price by the new number and there is your answer.

For Example:

20% = .20

1880*.20= 376

1880-376= 1504

There is a simpler way of doing this as well. Multiplying by .8 (which is the remainder of 100% after taking away 20% if this makes sense) will give you the answer immediately. Hopefully this helps.

Good luck!

Answer:

the alphabet.

Step-by-step explanation:

Answer:

s = 4t

Step-by-step explanation:

Let number of shoelace produced be S and time taken to produce then be T

If the number of shoelaces it produces is proportional to the time, this can be expressed using a direct relationship as:

S∝T

S = kT where

k is the proportionality constant

If 12 laces of shoes can be produced in 3 minutes, then S = 12 and T = 3

The relationship above on substitution becomes

12 = 3k

k = 12/3

k = 4

If the proportionality constant is 4, then the equation representing the relationship will be:

s = 4t

please mark me brainliest!

Answer: y = 4x (y = shoelaces & x = minutes)

Step-by-step explanation: We know that 12 shoelaces are produced in 3 minutes and that the ratio of shoelaces produced to minutes spent is proportional. We can figure out, therefore, that if you multiply the number of minutes by 4, you will get the number of shoelaces. As an equation, this would be y = 4x (y = shoelaces & x = minutes).

Answer:

∠8 is 400°

Step-by-step explanation

50 x  8 = 400

that means that the measure of ∠8 is 400°

Answer:

130 degrees I got it correct trust me

Answer:

1.( l+w)

Step-by-step explanation:

The complete question is given below

Her partial work is shown below: p = 4l + 4w + 4h

= l + w + h

h =

Which expression should follow the subtraction in Hallie’s equation?

h=l+w

Answer is 1. (l +w)

Answer:

Step-by-step explanation:

33

j

j

j

j

j

j

j

j

j

j

j

j

j

j

j

j

j

Answer:

Hey there!

We have sine xyz=6/15

sine xyz=0.4

arc sine 0.4=xyz

xyz=23.6

Hope this helps :)

Answer:

40

Step-by-step explanation:

Once you plot the data, the middle values will be 39 and 41. To calculate the median, you add them up and divide by two, which will result in 40!

Median is the middle value.

Write the numbers out from smallest to largest:

35, 38, 38, 39, 39, 41, 42, 43, 43, 44

There are 10 total numbers, find the middle two:

39 and 41

Add them Together and divide by 2:

39 + 41 = 80

80/2 = 40

Median = 40

Answer:

x = 13

39° and 51°

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

This is a right angle triangle, so one side has a size of 90 degrees.

3x + 4x - 1 + 90 = 180

7x + 89 = 180

7x = 91

x = 91/7

x = 13

Put x as 13 to work out the size of the angles.

3(13) = 39

4(13) - 1

52 - 1 = 51

Answer:

[tex]x = 13 \\ [/tex]

Measure of the angles

[tex]39 \: \: degrees \\ 51 \: \: degrees[/tex]

Step-by-step explanation:

sum of the interior angles in a triangle= 180°

[tex]3x + 4x - 1 + 90 =1 80 \\ 7x + 89 =1 80 \\ 7x = 180 - 89 \\ 7x =9 1 \\ \frac{7x}{7} = \frac{91}{7} \\ x = 13[/tex]

x = 13,

now lets work out for the angles

[tex]3x \\ 3 \times 13 \\ = 39[/tex]

[tex]4x - 1 \\ 4 \times 13 - 1 \\ 52 - 1 \\ = 51[/tex]

I remember answering the same question, but you didn't attach any photos. But I remember that the answer is the first one.

I hope I helped. Stay safe and God bless!

- Eli <3

Answer:

The First One

Vote for Brainless

Answer:

The weight of Shanu's dog now is 21.375 pounds.

Step-by-step explanation:

We are given that Shaun's dog weighs 22 One-fourth pounds. Shaun weighed the dog after one week and found she had lost Seven-eighths of a pound.

And we have to find the weight of the dog after exercise.

The Original weight of Shaun's dog = [tex]22 \frac{1}{4}\text{ pounds}[/tex]

Converting the above mixed fraction into an improper fraction we get;

[tex]22\frac{1}{4} = \frac{(22 \times 4)+1}{4}[/tex]

      =  [tex]\frac{89}{4} \text{ pounds}[/tex]

Now, it is stated that after walking an extra mile every day, Shanu's dog lost Seven-eighths of a pound, that is = [tex]\frac{7}{8} \text{ pound}[/tex]

So, the weight of Shanu's dog now = Original weight - Weight after exercise

           =  [tex]\frac{89}{4}-\frac{7}{8}[/tex]

Making denominator same for both the fractions;

           =  [tex]\frac{89\times 2}{4\times 2}-\frac{7\times 1}{8\times 1}[/tex]

           =  [tex]\frac{178}{8}-\frac{7}{8}[/tex]

           =  [tex]\frac{178-7}{8}[/tex]

           =  [tex]\frac{171}{8}[/tex]  =  21.375 pounds.

Hence, the dog weigh 21.375 pounds now.

Answer:

106,107,108,109,110

Step-by-step explanation:

The external angles of any regular shape add up to 360.  Thus, each internal angle of a pentagon = 540. 540/5= 108

Then simply add and subtract one twice to get a number set of 106,107,108,109,110

Answer:

y=2

second page it is A

Step-by-step explanation:

y=2

second page it is A

Answer:

y=2

the first line

Step-by-step explanation:

Horizontal line when value of y is constant:

Points

A (-5, -1), B(-2, 3), C(0, -1), D(4, -2), E(5, 1)

Answer: z=4

Step-by-step explanation:

4z+12=28

-12 on both sides

28-12=16

4z=16

divide 4 on both sides

z=4

Answer:

z=4

Step-by-step explanation:

4z+12=28

Subtract 12 from each side

4z+12-12=28-12

4z = 16

Divide each side by 4

4z/4 = 16/4

z = 4