Jill traced the. three shapes shown out of cardboard for an art project. Select all of the shapes that will give Jill a piece of cardboard with the same total area. Please help!

Jill Traced The. Three Shapes Shown Out Of Cardboard For An Art Project. Select All Of The Shapes That

Answers

Answer 1

Answer:

1st and 3rd figures have the same area

Step-by-step explanation:

1st figure is combined figure consisting of 4 m by 5 m rectangle and right triangle with legs

[tex]4-1=3\ m[/tex] and [tex]10-5=5\ m[/tex]

The area of the first figure is

[tex]A_{rectangle}=4\times 5=20\ m^2\\ \\A_{triangle }=\dfrac{1}{2}\cdot 3\cdot 5=7.5\ m^2\\ \\A_{1^{st}\ figure}=20+7.5=27.5\ m^2[/tex]

2nd figure is combined figure consisting of 3 m by 6 m rectangle and right triangle with legs

3 m and [tex]1+3+1=5\ m[/tex]

The area of the second figure is

[tex]A_{rectangle}=3\times 6=18\ m^2\\ \\A_{triangle }=\dfrac{1}{2}\cdot 3\cdot 5=7.5\ m^2\\ \\A_{2^{nd}\ figure}=18+7.5=25.5\ m^2[/tex]

3rd figure is combined figure consisting of 10 m by 2 m rectangle and right triangle with legs

3 m and [tex]10-5=5\ m[/tex]

The area of the third figure is

[tex]A_{rectangle}=2\times 10=20\ m^2\\ \\A_{triangle }=\dfrac{1}{2}\cdot 3\cdot 5=7.5\ m^2\\ \\A_{3^{rd}\ figure}=20+7.5=27.5\ m^2[/tex]


Related Questions

BC is parallel to DE. What is the length of BC? 7 8 9 6

Answers

Step-by-step explanation:

The length of BC 7 8 9 6 would probaly wouldnt be parallel but most likely be perpendicular if not intersecting

If a cube has the area of 144 m^2 on each face, then what would the surface area be?

Answers

Answer:

[tex]\text{Surface area of cube}=864\text{ m}^2[/tex]

Step-by-step explanation:

We have been given that a cube has the area of 144 m^2 on each face.

We know that a cube has 6 faces, so total surface area of given cube would be 6 times area of its one face.

[tex]\text{Surface area of cube}=6\times 144\text{ m}^2[/tex]

[tex]\text{Surface area of cube}=864\text{ m}^2[/tex]

Therefore, the total surface area of the cube would be 864 square meters.

Answer:

the answer will be 864 m^2

Step-by-step explanation:

6*144 m^2 = 864 m^2

Jimmy dean made 15 sausages in 3 hours. At this same rate , how many sausages did he make in 8 hours

Answers

Answer:

40

Step-by-step explanation:

15/3=5

5*8=40

Final answer:

Jimmy Dean would make 40 sausages in 8 hours, based on a calculation using his rate of sausage making determined from the 15 sausages he made in 3 hours.

Explanation:

If Jimmy Dean made 15 sausages in 3 hours, we can calculate the rate at which he makes sausages and then use this rate to find out how many he would make in 8 hours. First, find the sausage-making rate by dividing the total sausages made by the total hours worked:

Rate = Total Sausages / Total Hours = 15 sausages / 3 hours = 5 sausages per hour

Next, we multiply this rate by the number of hours we are interested in, which is 8 hours:

Sausages in 8 hours = Rate * 8 hours = 5 sausages/hour * 8 hours = 40 sausages

Therefore, at the same rate, Jimmy Dean would make 40 sausages in 8 hours.

What is the slope of line a?
3/4
-4/3
-3/4
4/3

Answers

Answer:

The correct slope is 3/4

Step-by-step explanation:

If we take (0,1) and (4,4) as our points, we find (4-1)/(4-0)=3/4

Hope this helped!

What is the value of x?
21
24
32
44

Answers

Answer:

21

Step-by-step explanation:

im god

If f(x) = 2x^2 + 5 and g(x) = 6 + f(x) , what is the value of f(4) + g(3) ?

Answers

Answer: 66

Step-by-step explanation:see attachment.

If this helps you please rate brainest

Answer:

66

Step-by-step explanation:

Is the slope of 5,0 and 8,4 positive,negative, zero or undefined?

Answers

slope= y2-y1/x2-x1
4-0/8-5
4/3=1.33
the slope is positive

Use long division to write the fraction 2/9 as a decimal

Answers

Answer:

.2 repeating

The drawing will help

How do you solve the problem 4 2/3×13 using common core math

Answers

This how you solve it. You can first turn it into a mixed number

It took Ivan 7 1/2 hours to drive 412.5 miles at a constant speed. How fast was he driving? Show how you know.

Answers

Answer:

55

Step-by-step explanation:

412.5 / 7.5 =55

The speed of the driving will be 55 miles/hr. Speed is represented as the pace of change of the distance or the height attained.

What is speed ?

Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. it is denoted by u for the initial speed while v for the final speed. its SI unit is m/sec.

The given data in the problem is;

The time taken is,t=7.5 hours.

The distance travelled is,d=412.5 miles

v is the speed of driving =?

The formula for the distance is;

d=v×t

v=d/t

Substitute the given values;

v=412.5/7.5

v=55 miles/hr

Hence, the velocity of the driving will be 55 miles/hr.

To learn more about the speed, refer to the link;

https://brainly.com/question/7359669

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Which expressions are equal to 9/41. If u answer I’ll give you best brainliest

Answers

Option a: Sin F equal to [tex]\frac{9}{41}[/tex]

Option e: Cos G equal to [tex]\frac{9}{41}[/tex]

Explanation:

Option a : Sin F

Let us determine the value of Sin F from the right triangle.

The formula for Sin F is [tex]\sin F=\frac{o p p}{h y p}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\sin F &=\frac{o p p}{h y p} \\&=\frac{H G}{F G} \\&=\frac{9}{41}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\sin F &=\frac{9}{41}\end{aligned}[/tex] which is equal to [tex]\frac{9}{41}[/tex]

Hence, Option a is the correct answer.

Option b : Cos F

The formula to determine the value of Cos F is [tex]\cos F=\frac{a d j}{h y p}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\cos F &=\frac{a d j}{h y p} \\&=\frac{F H}{F G} \\&=\frac{40}{41}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\cos F &=\frac{40}{41}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]

Hence, Option b is not the correct answer.

Option c: tan F

The formula to determine the value of tan F is [tex]\tan F=\frac{o p p}{a d j}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\tan F &=\frac{o p p}{a d j} \\&=\frac{F H}{H G} \\&=\frac{9}{40}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\tan F &=\frac{9}{40}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]

Hence, Option c is not the correct answer.

Option d : Sin G

The formula to determine the value of Sin G is [tex]\sin G=\frac{o p p}{h y p}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\sin G &=\frac{o p p}{h y p} \\&=\frac{FH }{F G} \\&=\frac{40}{41}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\sin G &=\frac{40}{41}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]

Hence, Option d is not the correct answer.

Option e : Cos G

The formula to determine the value of Cos G is [tex]\cos G=\frac{a d j}{h y p}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\cos G &=\frac{a d j}{h y p} \\&=\frac{HG}{F G} \\&=\frac{9}{41}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\cos F &=\frac{40}{41}\end{aligned}[/tex] which is equal to [tex]\frac{9}{41}[/tex]

Hence, Option e is the correct answer.

Option f : tan G

The formula to determine the value of tan G is [tex]\tan G=\frac{o p p}{a d j}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\tan G &=\frac{o p p}{a d j} \\&=\frac{F H}{H G} \\&=\frac{40}{9}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\tan G &=\frac{40}{9}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]

Hence, Option f is not the correct answer.

Thus, the expression which is equal to [tex]\frac{9}{41}[/tex] is Sin F and Cos G

3x - 1 + 9x - 7 + 19 = 180 what does x equal

Answers

Answer: x≈ 14 . 08

Step-by-step explanation:

Given :

3x - 1 + 9x - 7 + 19 = 180

The first thing is to collect the like term , then we have

3x + 9x -  1 - 7 + 19 = 180

12x + 11 = 180

subtract 11 from both sides

12x = 180 - 11

12x =169

divide through by 12

x = 169/12

x = 14.083333333333

x≈ 14 . 08

Is 48 a solution to 2y = 24

Answers

Answer:

No

Step-by-step explanation:

2y = 24

y = 24/2

y = 12

so the answer is incorrect

Answer:

False

Step-by-step explanation:

The correct answer is 12

I DO NOT KNOW HOW TO DO THIS. PLEASE PROVIDE AN EXPLANATION!

Simplify

Answers

Answer:

[tex]x^{4} -3x+2x^{3} y[/tex]

Step-by-step explanation:

use photo math and it will help with any math problem

do exponents first!

2x^5 = 32x

-6x^2 = -36x

4x^4y= 256xy

32x-36x+256xy/2x

Compare like terms, 32x-36x = -4x^2

-4x^2+256xy/2x

do, -4x^2=-16

-16+256xy/2x

Thats all, hope this is helpful!!!!!!!(:

Help me find out this prom or
Please I will do anything by btntntnthtjtbtjtjtitjtbt yjtntit titbybtititjybt

Answers

Answer:

80 percent

Step-by-step explanation:

Answer:

80 percent

Step-by-step explanation:

3*4³ Simplify answer 30 points

Answers

Answer:

the answer is 192

Step-by-step explanation:

because 4^3 is 64

and if you multiply it by 3 it will give you 192

your welcome have a nice day!

Answer: 192

Step-by-step explanation:

3*4³

Since there is an exponent we have to do that first

4*4*4=64

Plug 64 in 4³'s place

3*64

=192


(05.01 MC)

Which statement best describes the area of Triangle ABC shown below?

A triangle ABC is shown on a grid. The vertex A is on ordered pair 4 and 5, vertex B is on ordered pair 5 and 2, and the vertex C is on ordered pair 3 and 2.

It is one-half the area of a rectangle with sides 2 units × 3 units.
It is twice the area of a rectangle with sides 2 units × 3 units.
It is one-half the area of a square of side length 3 units.
It is twice the area of a square of side length 3 units.

Answers

Answer:

It is one-half the area of a rectangle with sides 2 units × 3 units.

Step-by-step explanation:

we have the coordinates of triangle ABC

A(4,5),B(5,2),C(3,2)

Plot the coordinates of triangle to better understand the problem

see the attached figure

step 1

Find the area of triangle ABC

The triangle ABC is an isosceles triangle `(AB=AC)

The area of triangle ABC is

[tex]A=\frac{1}{2}(BC)(AM)[/tex]

we have

[tex]BC=5-3=2\ units[/tex] ---> difference of the x-coordinates

[tex]AM=5-2=3\ units[/tex] ---> difference of the y-coordinates

substitute

[tex]A=\frac{1}{2}(2)(3)=3\ units^2[/tex]

step 2

Find one-half the area of a rectangle with sides 2 units × 3 units

[tex]A=\frac{1}{2} (2)(3)=3\ units^2[/tex]

therefore

The area of triangle ABC is one-half the area of a rectangle with sides 2 units × 3 units

Answer:

It is one-half the area of a rectangle with sides 2 units × 3 units.

Step-by-step explanation:

Find the surface area of the following triangular prism.​

Answers

Answer: 144 ft squared

Step-by-step explanation:

Let's find the two bases first. They are triangles with a base of 6 and a height of 8. The formula for the area of a triangle is b * h *  1/2 = 6 * 8 * 1/2 = 24. There are two so you would do 24 * 2 which is 48.

Then let's find the area of the other three faces, all of which have a length of 4. One has a width of 8 so you would do 4 * 8 which is 32. Another has a width of 6 so you would do 4 * 6 which is 24. The last one has a width of 10 so you would do 4 * 10 which is 40.

Add up the areas of the two bases and three faces together:

48 + 32 + 24 + 40 = 144 ft squared

Hope this helped!

A football field is 120 yards long by 53 yards wide. What is the total area

Answers

Answer:

6360

Step-by-step explanation:

the steps is just 120 times 53 which equals 6360. area= length multiplied by width

The area of a football field that is 120 yards long and 53 yards wide is 98,304,000 square inches.

To calculate the total area of a football field that is 120 yards long and 53 yards wide, you can use the formula for the area of a rectangle, which is length× width.

Step 1: Identify the dimensions of the field. The football field is 120 yards long and 53 yards wide

Step 2: Convert the dimensions into a consistent unit of measure, such as feet. Since there are 3 feet in a yard, multiply each dimension by 3.

Length in feet: 120 yards× 3 feet/yard = 360 feet

Width in feet: 53 yards × 3 feet/yard = 159 feet

Step 3: Calculate the area in feet. Area = Length × Width.

Area = 360 feet × 159 feet = 57,240 square feet

Step 4: To get the area in square inches, recognize that there are 12 inches in a foot, so the area in square inch\

es is:

Area in square inches = 57,240 ft²× (12 inches/foot)² = 98,304,000 square inches.

This calculation shows that the total area of the football field is approximately 98,304,000 square inches.

3h - j when h = 8 and j = 11

Answers

Answer#
13
Explanation#
Multiply 3 by 8 and, then - it with 11
3(8)-(11)=13
3X8=24
24-11=13

Suppose you bought supplies for a party. Three rolls of streamers and fifteen party hats cost $30. Later, you bought two rolls of streamers and four party hats for $11. Write and solve a system of equations to determine the cost of streamers and party hats, find their costs.

Answers

Final answer:

To determine the cost of streamers and party hats, a system of linear equations is created and solved. The streamers cost $2.50 each, and the party hats cost $1.50 each after solving the system by the elimination method.

Explanation:

To find the cost of streamers and party hats, we need to set up a system of linear equations based on the information provided. Let's denote the price of one roll of streamers as s and the price of one party hat as h.

From the first purchase:

3s + 15h = $30

From the second purchase:

2s + 4h = $11

Now, we'll solve the system using substitution or elimination method. For simplicity, we'll use the elimination method.

First, let's multiply the second equation by 3.75 to match the number of hats in the first equation:

7.5s + 15h = $41.25

Subtract the first equation from this new equation:

7.5s + 15h - (3s + 15h) = $41.25 - $30

4.5s = $11.25

s = $2.50

With the cost of a streamer found, substitute s = $2.50 into the second original equation:

2($2.50) + 4h = $11

$5 + 4h = $11

4h = $6  

h = $1.50

Therefore, the cost of one roll of streamers is $2.50 and the cost of one party hat is $1.50.

Final answer:To determine the cost of streamers and party hats, a system of linear equations is created and solved. The streamers cost $2.50 each, and the party hats cost $1.50 each after solving the system by the elimination method.Explanation:To find the cost of streamers and party hats, we need to set up a system of linear equations based on the information provided. Let's denote the price of one roll of streamers as s and the price of one party hat as h.From the first purchase:3s + 15h = $30From the second purchase: 2s + 4h = $11Now, we'll solve the system using substitution or elimination method. For simplicity, we'll use the elimination method.First, let's multiply the second equation by 3.75 to match the number of hats in the first equation:7.5s + 15h = $41.25Subtract the first equation from this new equation:7.5s + 15h - (3s + 15h) = $41.25 - $304.5s = $11.25s = $2.50With the cost of a streamer found, substitute s = $2.50 into the second original equation:2($2.50) + 4h = $11$5 + 4h = $114h = $6  h = $1.50Therefore, the cost of one roll of streamers is $2.50 and the cost of one party hat is $1.

Write the expression 4/5 (x + 1) in standard form

Answers

multiply 4/5 ×1=4/1=4

4+1=5

Answer:

Step-by-step explanation:

[tex]\frac{4}{5}x+\frac{4}{5}[/tex]

Your new place needs a 12 ft by 18 ft rug. You notice that these sides are 50% longer than the rug from your old place. What were the dimensions of the old rug

Answers

Answer:

The dimensions of the old rug are 8 ft by 12 ft

Step-by-step explanation:

Let

x ----> the length of the old rug

y ----> the width of the old rug

we know that

[tex]100\%+50\%=150\%=150\100=1.5[/tex]

so

The dimensions of the old rug multiplied by the factor 1.5 must be equal to the dimensions of the new rug

so

[tex]1.5x=12\\x=8\ ft[/tex]

[tex]1.5y=18\\y=12\ ft[/tex]

therefore

The dimensions of the old rug are 8 ft by 12 ft

The radius of a circle is 15. Using π, which equation expresses the ratio of the circumference to the diameter of a circle?
A: C=15πr

B: C15=π

C: C=r30π

D: C30=π

Answers

Answer:

The equation which expresses the ratio of the circumference to the diameter of a circle is  [tex]\frac{C}{30}=\pi[/tex] ⇒ D

Step-by-step explanation:

π is the ratio between the circumference of the circle and the length of its diameter

[tex]\frac{C}{d}=\pi[/tex] , where

C is the circumference of the circled is the diameter of the circle

∵ The circumference of the circle is C

∵ The radius of the circle is 15 units

∴ r = 15 units

- Find the diameter of the circle

∵ The diameter of the circle d = 2 r

∴ d = 2(15) = 30 units

∴ The diameter of the circle is 30 units

∵ [tex]\frac{C}{d}=\pi[/tex]

∵ d = 30 units

∴ [tex]\frac{C}{30}=\pi[/tex]

The equation which expresses the ratio of the circumference to the diameter of a circle is  [tex]\frac{C}{30}=\pi[/tex]

Parallelogram ABCD has coordinates A(-1,10) B(2, -1) C(5,4) and D(-4,5). Find the coordinates of where diagonals AC and BD intersect at. Enter your answers as numbers.

Answers

The coordinates of where diagonals AC and BD intersect at O(2,7).

Step-by-step explanation:

We are given coordinates as A(-1,10) and C(5,4).And we know that the diagonals of parallelogram always bisect each other.

Let us consider O is the intersection point among the diagonals AC and BD. So, the point O bisects the line AC into two equal parts, and also it is the mid-point of AC.

We can find point O using the midpoint formula as,

O (x,y) = ([tex]\frac{(x1+x2)}{2}[/tex] , [tex]\frac{(y1+y2)}{2}[/tex])

         = ([tex]\frac{(-1+5)}{2}[/tex] , [tex]\frac{(10+4)}{2}[/tex])

      = ([tex]\frac{4}{2}[/tex], [tex]\frac{14}{2}[/tex])

     = (2,7)

       

So Diagonals AC and BD intersects at the point O (2,7).

Jason and Jeremy work together at a juggling-ball factory. Jason lives 25 miles away from the factory and drives at 60 miles per hour. Jeremy lives 35 miles away from the factory and drives at 70 miles per hour. If they leave their houses at the same time, then
(a) who arrives at the factory first ?
(b) how long is it until the other person arrives?

Answers

Jason arrives at the factory first

It takes 5 minutes until the other person arrives

Solution:

The time taken is given by formula:

[tex]Time\ taken = \frac{distance}{speed}[/tex]

Jason lives 25 miles away from the factory and drives at 60 miles per hour

Therefore, time taken by Jason is:

[tex]Time\ taken = \frac{25}{60}\ hour[/tex]

Convert to minutes

1 hour = 60 minutes

Therefore,

[tex]Time\ taken = \frac{25}{60} \times 60\ minutes = 25\ minutes[/tex]

Jeremy lives 35 miles away from the factory and drives at 70 miles per hour

Therefore time taken by Jeremy is:

[tex]Time\ taken = \frac{35}{70}\ hour\\\\Time\ taken = \frac{35}{70} \times 60\ minutes\\\\Time\ taken = 30\ minutes[/tex]

They leave their houses at the same time

25 minutes < 30 minutes

Thus Jason arrives first

Jason arrives to the factory in 25 minutes

Jeremy arrives to the factory in 30 minutes

⇒  30 - 25 = 5 minutes

Jeremy arrives after Jason by 5 minutes

It takes 5 minutes until the other person arrives

Solve 9/4x-5/6=-13/12x

Answers

Answer:

4

Step-by-step explanation:

Cuzzzzz I know this stuff realy well

To solve this, you need to isolate/get x by itself in the equation:

[tex]\frac{9}{4}x-\frac{5}{6}=-\frac{13}{12} x[/tex]      Subtract 9/4x on both sides

[tex]-\frac{5}{6} =-\frac{13}{12} x-\frac{9}{4} x[/tex]   To combine fractions, the denominator has to be the same. They both have a least common denominator (LCD) of 12, so multiply -9/4x by 3/3 to make the denominator 12

[tex]-\frac{5}{6} =-\frac{13}{12}x -(\frac{3}{3})\frac{9}{4}x[/tex]

[tex]-\frac{5}{6} =-\frac{13}{12}x-\frac{27}{12} x[/tex]

[tex]-\frac{5}{6} =-\frac{40}{12} x[/tex]     Multiply the reciprocal of -40/12 to get x by itself, which is -12/40 [basically flipping the fraction or switching the numerator and the denominator]

[tex](-\frac{12}{40})-\frac{5}{6} =(-\frac{12}{40})-\frac{40}{12} x[/tex]  [two negative signs cancel each other out and become positive]

[tex]\frac{60}{240} =x[/tex]      Simplify the fraction

[tex]\frac{1}{4} =x[/tex]

the three points (3, -5) , (-a+2,3) and (2a+3, 2) lie on the same line. what is a?

Answers

Answer:

a = -7/23.

Step-by-step explanation:

For them to lie on the same line the slope of the line joining the first 2 points must equal the slope of the line joining the second and third points.

so (3 - -5) / (-a+2 - 3) =   (2 - 3) /[(2a + 3) - (-a + 2)]

8 / (-a - 1) = -1 /  (3a + 1)    Cross multiply:

-1(-a - 1) = 8(3a + 1)

a + 1 = 24a + 8

-7 = 23a

a = -7/23.

Final answer:

To find the value of a, we can set the slopes between pairs of points equal to each other and solve for a. The value of a is 14/13.

Explanation:

To determine the value of a such that the points (3, -5), (-a+2,3), and (2a+3, 2) lie on the same line, we can use the slope formula. The slope between two points (x1, y1) and (x2, y2) is given by the formula: m = (y2 - y1) / (x2 - x1). We'll calculate the slopes for the two pairs of points and set them equal to each other to find a.

Let's start by finding the slope between the first two points: (-a+2, 3) and (3, -5).

The slope is: m1 = (3 - (-5)) / (-a+2 - 3), which simplifies to m1 = 8 / (-a-1).

Next, let's find the slope between the second and third points: (2a+3, 2) and (3, -5).

The slope is: m2 = (2 - (-5)) / (2a+3 - 3), which simplifies to m2 = 7 / (2a).

Setting the two slopes equal to each other, we have: m1 = m2. Plugging in the expressions for m1 and m2, we get: 8 / (-a-1) = 7 / (2a). To solve for a, we'll cross-multiply and simplify the equation.

After simplifying, we find that a = 14/13.

Learn more about linear equations here:

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To simplify the express 1/2 (60+8)Martha used which property in step1

Answers

Answer:

34

Step-by-step explanation:

BODMAS (Bracket, Division, Multiplication, Addition, Subtraction )rule

First we solve brackets :

60+8=68

1/2(68)= 34

What is the answer to this?
(2i-6)(3i-9)

Answers

Remember that i² = -1. Using FOIL...

(2i-6)(3i-9) = 6i²-36i+54

Now simplify by subbing in -1 for i².

6(-1)-36i+54 = 48-36i

answer: 48-36i

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HELPPP PLEASEEQUICKK Use the words blank to fill in the missing words in the sentences.igneous metamorphic magma graphitea) When hot _________ cools, igneous rocks are formed.b) When _________ is under higher pressure and heat, it becomes diamond.c) _________ rocks include pumice and granite and can be formed above Eath's surface.d) _________ rocks are formed when existing rocks are changed inside Earth. A person weighs 150.0 lb, and the correct dosage of a drug is given as 1.50 mg per kilogram of body weight. How many milligrams of the drug should be given? (2.20 lb = 1 kg) Alex has a truck. 42% of the miles he drove last month were for work. If Alex drove 588 miles for work, how many miles did he drive last month all together? A) 1,200 B) 1,400 C) 1,600 D) 1,800 Which of the following statements are true? a. Electric field lines and equipotential surfaces are always mutually perpendicular. b. When all charges are at rest, the surface of a conductor is always an equipotential surface. c. An equipotential surface is a three-dimensional surface on which the electric potential is the same at every point. d. The potential energy of a test charge increases as it moves along an equipotential surface. e. The potential energy of a test charge decreases as it moves along an equipotential surface. a and b questions answers Who is most likely speaking?O un padreun presidenteo un amigoun maestro The marginal productivity theory states that if a firm operates in a perfectly competitive factor market, it pays each factor of production its marginal revenue product. However, this theory may fail to hold if factor markets are not competitive.One means by which factor markets may fail to be competitive is if there is imperfect information. Which of the following are ways in which firms seek to overcome information problems? Select all that apply.a) Only hiring workers who have earned good grades in college.b) Always hiring from the outside to avoid being accused of discrimination.c) Promoting workers from within the company who have shown themselves to be productive, rather than hiring from outside. How many yard will the snail have moved in half an hour A 900-kg car cruising at a constant speed of 60 km/h is to accelerate to 100 km/h in 4 s. The additional power needed to achieve this acceleration is (a) 56 kW (b) 222 kW (c) 2.5 kW (d) 62 kW (e) 90 kW Which parts of the plants do they show? (A,B,C,D)And 21.question please If a guitar string has a fundamental frequency of 500 Hz, what is the frequency of its second overtone? Question 2 (2 points) Each of the sentences provided may contain a grammar or usage error. Read each sentence, and then identify its error, if there is one, by selecting the appropriate answer choice. If there is no error in the sentence, choose no error.The new version of the camera, what I got last year, is being released next month.Question 2 options:The new versionof the camerawhat I gotis being releasedNo errorQuestion 3 (2 points) Read each sentence, and decide whether the underlined portion contains a mistake. If so, identify the best way to correct or improve the sentence by choosing the appropriate suggestion from the answer choices provided. If the underlined portion requires no correction or improvement, choose no improvement or correction is required.You should read some reviews before purchasing that bicycle, and one should also think about whether you want to spend that much money.Question 3 options:and one should also thinks about whetherand you should also think about whetherand one should also be thinking about whetherand you should have thought about whetherNo improvement or correction is required.Question 4 (2 points) Read each sentence, and decide whether the underlined portion contains a mistake. If so, identify the best way to correct or improve the sentence by choosing the appropriate suggestion from the answer choices provided. If the underlined portion requires no correction or improvement, choose no improvement or correction is required.Dancing in a studio setting and to dance in ones own living room can be very different experiences, although both can be wonderful.Question 4 options:Dancing in a studio setting and dancing in one's own living roomTo dance in a studio setting and dancing in ones own living roomDance in a studio setting and to dance in ones own living roomNo improvement or correction is required.Question 5 (2 points) Read each sentence, and decide whether the underlined portion contains a mistake. If so, identify the best way to correct or improve the sentence by choosing the appropriate suggestion from the answer choices provided. If the underlined portion requires no correction or improvement, choose no improvement or correction is required.Neither my grandmother and my great-grandmother remembered a time when they had not been baking bread on a regular basis.Question 5 options:Neither of my grandmother and myNeither my grandmother norNeither my grandmother or myNeither my grandmother, but also myNo improvement or correction is required. What is responsible for gene regulation? A T-1 system multiplexes ___ into each frame what did some southern states require from african american voters 24 students in a class took an algebra test. If 18 students passed the test, what percent do not pass? 1) The figure at the top is a parallelogram; the area is A = bh; where b is the base and h is the height; use properties of special right triangles to find h, and the area of the parallelograma) Read the problem once and state what is the problem about? The plant cell wall __________.a. regulates the composition of the cytoplasm. b. is very similar to the animal cell wall. c. makes food by converting light energy to chemical energy. d. is found just inside the plasma membrane. e. is a protective structure made of cellulose fibrils. The assignee's rights are subject to the defenses that the obligor has against the assignor. a. True b. False