Multiply.
(x-6)(5x-4)
O
A. 5x^2-30x + 24
B. 5x^2 - 34x + 24
c. 5x^2 - 26x-24
D. 5x^2 - 30x-24​

Answers

Answer 1
use the FOIL technique (first outer inner last) to solve this.

FIRST: multiply the x and the 5x to get 5x^2

OUTSIDE: multiply the -4 and the x to get -4x

INNER: multiply the -6 and the 5x to get -30x

LAST: multiply the -4 and the -6 to get 24.

last step: put it all together to get 5x^2 - 4x - 30x + 24, which is 5x^2 - 34x + 24.

Related Questions

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

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!

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!!!!!!!(:

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

Angle A and Angle B are supplementary angles. If
m angle A = (2x + 26)° and m angle B = (x + 25)', then find the measure
of Angle B.

Answers

Answer:

12 Degrees

Step-by-step explanation:

angle A and angle B are supplementary angles.

angle A is 14 times as large as angle B.

Let angle A be x and let angle B be y.

then we have x+y=180

 

x=14y

14y+y=180

15y=180

y=12

x=168

Angle A is 168 degrees and angle B is 12 degrees.

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

What is the value of x?
21
24
32
44

Answers

Answer:

21

Step-by-step explanation:

im god

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

Simplify - 10x -4 +3x​

Answers

Combine the like terms -10x and 3x to get -7x.

The answer would be -7x - 4

[tex]\text{Hey there!}[/tex]

[tex]\mathsf{Simply: -10x - 4+3x}[/tex]

[tex]\mathsf{First\ group\ your\ like\ terms}[/tex]

[tex]\mathsf{Like\ terms:-10x\ \&\ 3x}[/tex]

[tex]\mathsf{-10x+3x=-7}[/tex]

[tex]\mathsf{New\ equation: -7 x- 4}[/tex]

[tex]\boxed{\boxed{\bf{Answer:\mathsf{-7x-4}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

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

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

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

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

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]

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

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

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]

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

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

Answers

Answer:

.2 repeating

The drawing will help

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

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

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:

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.

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

Hugo and Koby are measuring the heights of plants in biology class.

Use the drop-down menus to complete the statements about the measured heights and the actual heights of the plants.

Answers

The answers are shorter, higher, 2cm, 15cm, 20% and 15%.

Step-by-step explanation:

Step 1; From the given data Hugo measured his plant higher than its original height. Hugo measured his plant as 12 cm while it was actually 10 cm. So Hugo's measurement was off by 2cm. Hugo's percent error is given by dividing the difference in values by the actual value.= multiplied by 100.

% error = (difference in values / actual value) × 100

Hugo's % error = (12 - 10)/ 10 × 100 = 2/10 × 100 = 20%.

Step 2; Koby measured his plant lower than his plant's original height. He measured it to be 85 cm while it was 100 cm tall. So Koby's measurement was off by 15cm. The percent error is calculated in the same way.

% error = (difference in values / actual value) × 100

Koby's % error = (100 - 85)/ 100 × 100 = 15/100 × 100 = 15%.

Step 3; Hugo had a percent error of 20% while Koby has a percent error of 15%. So Hugo had a higher percent error of the two.

Answer:

Step-by-step explanation:

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.

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!

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]

This quarter circle has a radius of 7 centimeters. What is the area of this figure? Use 3.14 for pi.
Enter your answer as a decimal in the box. Round your answer to the nearest hundredth.

|_____|cm²

Answers

Answer:

[tex]area \: of \: quarter \: circle \\ = \frac{ \theta}{360 \degree} \times \pi \: {r}^{2} \\ \\ = \frac{90 \degree}{360 \degree} \times 3.14 \times \: {7}^{2} \\ \\ = \frac{1}{4} \times 3.14 \times \: {7}^{2} \\ \\ = \frac{1}{4} \times 3.14 \times \: 49 \\ \\ = 38.465 \: \: {cm}^{2} [/tex]

Answer:

38.47

Step-by-step explanation:

I just took the k12 test and 38.465 is wrong


(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:

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

#SPJ2

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Pick a one world factor to describe the benefits and limitations of Bromine In a mono hybrid cross of heterozygous pea plant with round (R) yellow (Y) seeds there will be genotype ratio of 9 _____ 3,____ 3,____ and 1____ PLEASE PLEASE HELP IM KIND OF CONFUSED What is the probability that at least one of a pair of fair dice lands of 5, given that the sum of the dice is 8? The December 31, 2020, Allowance account balance includes $3,076 for a past due account that is not likely to be collected. This account has not been written off. (1) If it had been written off, will there be any effect of the write-off on the working capital at December 31, 2020? Suppose that an economy originally has a bowed outward production possibilities frontier (PPF) for military goods and civilian goods. An improvement in technology that allows only more military goods to be produced, but not more civilian goods, would cause ________.a. fewer military goods will be producedb. more civilian goods will be producedc. the opportunity cost of producing military goods will rised. there will be productive inefficiency in the economye. the production possibilities frontier will pivot outward around the axis for military goods Here is a simple example. The inhabitants of a small island begin exporting beautiful cloth made from a rare plant that grows only on their island. Seeing how popular the small quantity that they export has been, they steadily raise their prices. A clothing maker from New York, thinking that he can save money by "cutting out the middleman," decides to travel to the small island and buy the cloth himself. Ignorant of the local custom of offering strangers outrageous prices and then negotiating down, the clothing maker accepts (much to everyone's surpise) the initial price of 400 tepizes/m2. The price of this cloth in New York is 120 dollars/yard2.If the clothing maker bought 500 m2 of this fabric, how much money did he lose? Use 1tepiz=0.625dollar and 0.9144m=1yard. e Process of Cell DivisionGenetic information is bundled into packages of Choose...kndChoose...s/ What does blood pressure often reveal about an individuals health? if an individual is likely to develop osteoporosis if an individual has a weakened immune system if an individual has high blood sugar levels if the individual is at higher risk for heart attack I need help please! Which is the main light-absorbing pigment for photosynthesis?carotenechlorophyllhemoglobinanthocyanin Nicole breeds pit-bull terriers. Her dog. Bella, gave birth to 7 puppies. For the female pup she charges $550 and $500 for males. Her profit comes out to be $3650, determine how many males and female were born. Rice and potatoes are substitutes in consumption. If the price of rice rises and there is a bumper crop of potatoes, in the market for potatoes one would expect the equilibrium price to _____ and the equilibrium quantity to _____. a) equilibrium price to rise, fall, or stay the same and equilibrium quantity to rise.b) equilibrium price to rise and the equilibrium quantity to fall.c) equilibrium price and quantity both to fall.d) equilibrium price to rise and the equilibrium quantity to fall, rise, or stay the same. What is the best definition for the phase "" whole cloth forgery "" as used in the article One of the keys to the second Industrial revolution starting was when newmethods for producing steel in large quantities was created.TrueFalse mean of 10 observations is 2.5.if one observation 2.5 is deleted,determine the new mean Mike correctly found the slope and y-intercept of the line passing through the points (5, 2) and (3, 14) as follows. m = StartFraction 14 minus (negative 2) Over 3 minus (negative 5) EndFraction = StartFraction 16 Over 8 EndFraction = 2. y = 2 x + b. Negative 2 = 2 (negative 5) + b. Negative 2 + 10 = negative 10 + b + 10. b = 8. What is the equation of the line in slope-intercept form? Name the property the equation illustrates.-4x-1/4=1 "The drug naloxone can be used to counter the effects" of a heroin overdose by binding to opioid receptors and preventing heroin from binding to them. In this example, naloxone is an ___________________ at opioid receptors and heroin is an _______________________ at opioid receptors. (-4.7)^0 Does anyone have the answers to the Exponents and Exponential Functions Unit test A company that manufactures frozen pizza rolls is employing the shaping process (one of the learning theories) to get consumers to try its products. The free samples offered by the company and the discount coupons have been received well by consumers. In general, the overall goal of a learning theory is: