Use a geometric model to factor 2x2 - x - 1 by following
these steps:
Step 1: Model the polynomial by placing tiles in the
Product section.

Answers

Answer 1

Answer: It is not a perfect rectangle

Step-by-step explanation: Put 2 x2 tiles side by side horizontally then place an -x tile be side it then an - tile next to the x tile

Use A Geometric Model To Factor 2x2 - X - 1 By Followingthese Steps:Step 1: Model The Polynomial By Placing
Answer 2

Answer:

Step 4: What is the factored form of this trinomial?

✘ O A. (2[tex]x[/tex] - 1 ) ( [tex]x[/tex] + 1 )

✔ ∅ B. (2[tex]x[/tex] + 1 ) ( [tex]x[/tex] - 1 )

✘ O C. (2[tex]x[/tex] - 1 ) ( [tex]x[/tex] - 1 )

Use A Geometric Model To Factor 2x2 - X - 1 By Followingthese Steps:Step 1: Model The Polynomial By Placing
Use A Geometric Model To Factor 2x2 - X - 1 By Followingthese Steps:Step 1: Model The Polynomial By Placing

Related Questions

A cone with height of 6 feet and volume of 86 feet cubed.
Answer the questions to find the base area of the cone.

Which equation substitutes the given values into the formula for the corresponding variables

Answers

Answer:

The formula is 86=1/3B (6)

The base area is 43.00 square feet

Step-by-step explanation:

V is 86 so that goes in spot, hv to divide 1/3 and hv to find B so last spot is putting in height which is 6. That makes equation

Solving equation

86=(1/3) B(6)

Divide 6 by 1/3

(3/1) 1/3 = 6 (3/1)

86 = 2pi *

43.00 square feet

Im not sure if the solving part of the equation is completely correct, but answers for both are correct. C;

Answer:

both of the answers are C

Step-by-step explanation:

What is the answer to this problem:)

Answers

Answer: The answer is A. It is located at -25 and is to the right of point A on the number line.

Step-by-step explanation:

On a number line, the number ZERO is in the middle. The positive numbers increase to the right meanwhile the negative numbers increase to the left.

An acute ∆ABC is rotated about a point and then dilated by a scale factor of 0.5 to produce ∆A’B’C’. Which statement correctly compares ∆ABC to ∆A’B’C’.

Answers

Answer:

Option given in the top right.

Step-by-step explanation:

If an acute triangle is rotated about a point,

- Angles of the transformed triangle remain unchanged.

If a triangle is dilated by a scale factor of [tex]\frac{1}{2}[/tex],

- Measure of sides of the image will be dilated by a scale factor of 0.5.

Therefore, statement that compares ΔABC to ΔA'B'C' will be,

The angle measures of the triangle A'B'C'are the same of those ΔABC, but the side length of the ΔA'B'C' half the size of those of ΔABC.

Option given in the top right is the answer.

The difference between a number c and 13 is −2.

Equation:

Solution:

Answers

Answer:

equation: c-13=-2

solution: c=11

Step-by-step explanation:

c-13=-2

add 13 on both sides

c-13+13=-2+13

c=11

ANSWER CHECK

substitute C for 11

11-13=-2

The value of c is 11.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Number = c

We can make an expression as,

c - 13 = -2

Now,

Solve for c.

c - 13 = -2

Add 13 on both sides.

c = -2 + 13

c = 11

Thus,

The value of c is 11.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Find the area of DUO

Answers

Answer:

What do you mean DUO?

Step-by-step explanation:

Sheryl and Jennifer were given the same number of sticker at first.After jennifer used 84 stickers ,sherly had 4 times as many stickers as jennifer. How many stickers were given to sherly at first

Answers

Answer:

112 stickers

Step-by-step explanation:

Let x and y represent the number of stickers Sheryl and Jennifer were given at first.

Sheryl and Jennifer were given the same number of sticker at first.

So;

x = y ......1

After jennifer used 84 stickers ,sherly had 4 times as many stickers as jennifer.

x = 4(y-84)

x = 4y - 336 ......2

Substituting equation 1 into 2

y = 4y - 336

Solving for y;

4y - y = 336

3y = 336

y = 336/3

y = 112

Therefore, sherly was given 112 stickers at first

Kavitha is going to spin the following spinner 200 times. The spinner is divided into equal sections:
mouse
mouse
monkey
monkey
elephant
What is the best prediction for the number of times the spinner will land on the elephant?​

Answers

Answer:

Option (D) Close to 40 times but probably not exactly 40 times.

Answer:

D

Step-by-step explanation:

Khan

conner has a bag of coloured tiles. there are 1 green, 3 black, 5 blue and 6 red. he reaches into the bag and chooses 1 tile without looking. what is the probibility that the tile is not red?

Answers

Answer:

Um, i'm not the best but I'm trying my best, but I think it is                                       66%

Step-by-step explanation:

Hope this helps


Kira is using the figure shown to prove the Pythagorean theorem. She starts by writing the
equation (a+b)' - C = 4(ab) because she knows two equal ways to represent the area
of the shaded region. Which best describes the next steps Kira should take to complete her
proof?​

Answers

Question:

Kira is using the figure shown to prove the Pythagorean theorem. She starts by writing the

equation  [tex](a+b)^2 - c^2 = 4(\frac{1}{2}ab )[/tex] because she knows two equal ways to represent the area

of the shaded region. Which best describes the next steps Kira should take to complete her

proof?​

Answer:

The correct option is;

d. Simplify both sides of the equation to get a² + 2·a·b + b² - c² = 2·a·b then subtract 2·a·b and add c² to both sides of the equation

Step-by-step explanation:

Here we have

The area of the larger square = (a + b)²

The area of the middle plain shaded square = c²

∴ Area of the shaded region = (a + b)² - c²

The shaded region consists of for right triangles of base, a and height, b therefore, the area of the shaded region is also the area of the four right triangles = 4 × (1/2 × base × height)

= 4×1/2×a×b = 4(1/2·a·b)

Hence area of the shaded region also = 4(1/2·a·b)

Therefore, (a + b)² - c² = 4(1/2·a·b)

Which is a² + 2·a·b + b² - c² = 4 × 1/2 × a·b = 2·a·b

∴ a² + 2·a·b + b² - c² = 2·a·b

Hence a² + 2·a·b + b² - c² + c² = 2·a·b + c² gives

a² + 2·a·b + b² = 2·a·b + c² gives

Also  a² + 2·a·b + b² - 2·a·b = 2·a·b + c² - 2·a·b gives

a² + b² = c² which is Pythagoras theorem

Answer:

the last

Step-by-step explanation:

HELP!!!! calculate the difference and enter it below
-1 -7

Answers

Answer:

-8

Step-by-step explanation:

-8

Answer:

6.

Step-by-step explanation:

Difference between -1 and -7.

-1-(-7) = -1 + 7 = 6

two negative signs makes it a positive sign

Please help me I’m about to cry

Answers

Answer:

LKH and JKM

Step-by-step explanation:

Aye, if you're gonna cry bro, take a break. This stuff means nothing in like 2 or 3 years. Trust me :)

Answer: it is angle LKH and angle JKM

Step-by-step explanation:

Verticals angles are angles that are opposite to each other and have the same degree measure. Since line JL is parallel to line GI, then MF is the transversal, creating some vertical angles. I’m not sure how else to explain it but you can connect the letters (in order) of the different angles to figure out what angles they are, and then find ones that are opposite angles. I hope this helped!

!! PLEASE ANSWER QUICKLY TIMED REVIEW WILL LIST BRANLIEST!!! ​

Answers

Answer:

First box is 4 2nd box is 6

Step-by-step explanation:

The next box that is empty will be 4 and the last empty box will be 6

Step-by-step explanation:

2*1=2

2*2= 8

2*3=6

Select ALL equations that have a solution of 6.

A
x + 6 = 9
3
B
4x + 15 = 29
C
x + 9 = 5
3
D
2(x + 5) = 18

Answers

None, i checked on photomath and it says none. What are we solving for??

Using laws of Sines. Find the measurement indicated. Round your answers to the nearest tenth.​

Answers

Answer:

see below

Step-by-step explanation:

8.

We have to use the law of cosines to find AB

c^2 = a^2 + b^2 − 2ab cos(C)

AB^2 = 14^2 + 24^2 - 2 * 14 *24 cos(91)

AB^2 =196 +576 - 672 cos(91)

AB^2 =783.7280171

Taking the square root of each side

AB =27.99514

Rounding to the nearest tenth

AB = 28

(If the lengths are supposed to have the variable A)

AB = 28A

9.

Using the law of sines

sin 84              sin A

--------------  = -------------

22                     9

Using cross products

9 sin 84 = 22 sin A

Divide each side by 22

9 sin 84 /22 = sin A

.406849866 = sin A

Taking the inverse sin of each side

24.00710132 = A

To the nearest tenth

A = 24

Answer:

AB = 28 ft; m<A = 24 deg

Step-by-step explanation:

8.

Since you are not given an angle and its opposite side, you cannot start with the law of sines. You must use the law of cosines.

[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]

[tex] c^2 = (14~ft)^2 + (24~ft)^2 - 2(14~ft)(24~ft) \cos 91^\circ [/tex]

[tex] c^2 = 196~ft^2 + 576~ft^2 - 672~ft^2(-0.01745) [/tex]

[tex] c = \sqrt{783.73~ft^2} [/tex]

[tex] c = 27.995~ft [/tex]

AB = c = 28 ft

9.

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} [/tex]

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]

[tex] \dfrac{\sin A}{9~km} = \dfrac{\sin 84^\circ}{22~km} [/tex]

[tex] \sin A = \dfrac{9~km~\sin 84^\circ}{22~km} [/tex]

[tex] \sin A = 0.40685 [/tex]

[tex] A = \sin^{-1} 0.40685 [/tex]

[tex] A = 24^\circ [/tex]

Which model represents -3 + 2?

Answers

Answer:

-1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Its simple, 3+2 = 5, but since its negative its -1.

What is the least common denominator of 2/3 and 7/9

Answers

Answer:

9

Step-by-step explanation:

2/3 = 2/3 × 3/3 = 6/9

7/9 = 7/9 × 1/1 = 7/9

what is the 7th term in the sequence 48,40, 32, 24,

Answers

Answer:

0

Step-by-step explanation:

Take the second term and subtract the first term

40-48 = -8

Take the third term and subtract the second term

32-40 = -8

The common difference is -8

We have the 4th term

24

The fifth term is

24-8 = 16

The sixth term is 16-8 = 8

The seventh term is 8-8 =0

Answer: 16

Step-by-step explanation:

The answer is 16 because you are going down by 8s

please factorise this question and show the entire process.​

Answers

Answer:

3(x^4+324y^4)

Step-by-step explanation:

You can take out a 3 since 972 and 3 are both divisible by 3.

Therefore, 3(x^4+324y^4)

I hope this helped and have a good rest of your day!

Here, just we have take common of them.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

If the area of a cone is 17 and the height is 10 cm what is the volume

Answers

Answer:

the volume is V≈2.77 cm³

Step-by-step explanation:

surface area= 17 cm

height= 10 cm

volume≈2.77 cm³

Directions: Solve each volume problem using the information given. Use 3.14 for pi and label your answer with the appropriate units.

1.) The school cheer leading team uses megaphones in their routines. Each megaphone is a cone. The radius of the megaphone is 5.1 inches and the height of the megaphone is 19.3 inches. What is the volume of the megaphone?





2.) You and your friends buy ice cream cones at the local ice cream shop. The radius of the ice cream cone is 44 millimeters and the volume of the ice cream cone is 356,456.2136 cubic millimeters. What is the height of the ice cream cone?

Answers

Answer:

A. 525.42 inches^3

B. 175.91 mm

Step-by-step explanation:

a. Here we are asked to calculate the volume of the cone given the radius and the height of the cone.

Mathematically, the volume of the cone can be calculated using the formula below;

V = 1/3 * π * r^2 * h

where r is the radius which is 5.1 inches and h is the height of the megaphone = 19.3 inches

Plugging these values, we have;

V = 1/3 * 3.14 * 5.1^2 * 19.3 = 525.42 inches^3

b. Here we are tasked with calculating the height given the value of the volume and the radius.

mathematically, the formula to use is

V = 1/3 * π * r^2 * h

where V = 356,456.2136 cubic millimeter and r is 44mm

plugging these values we have

356,456.2136 = 1/3 * 3.14 * 44^2 * h

h =( 1,069,368.6408)/6,079.04

h = 175.91 mm

Which function represents the graph of y=x^2 after it has been translated 4 units to the left?

options:
y=(x-4)^2 or y=(x+4)^2

Answers

Answer:

oh.. maybe you can install photomath

Answer:

y=(x+4)^2

Step-by-step explanation:

A trick I use is if it is a plus sign then it goes left, if it is a minus sign then it goes right.

At Your Town Bike Shop, handle bar streamers are sold in packs of two and beads for spokes are sold in sets of 10. Georgina purchases 2 packs of handle bar streamers and 3 sets of beads for $27.85 before tax. Alexis purchases 1 pack of streamers and 4 sets of beads for $26.30 before tax. If Nana wants to buy 3 packs of streamers and 6 sets of beads, how much will her bill be before tax?

Answers

Answer: her bill be before tax is $49.2

Step-by-step explanation:

Let x represent the cost of 1 pack of handle bar streamers.

Let y represent the cost of 1 set of beads for spokes.

Georgina purchases 2 packs of handle bar streamers and 3 sets of beads for $27.85 before tax. It means that

2x + 3y = 27.85- - - - - - - - - 1

Alexis purchases 1 pack of streamers and 4 sets of beads for $26.30 before tax. It means that

x + 4y = 26.3

x = 26.3 - 4y - - - - - - - - - 2

Substituting equation 2 into equation 1, it becomes

2(26.3 - 4y) + 3y = 27.85

52.6 - 8y + 3y = 27.85

- 8y + 3y = 27.85 - 52.6

- 5y = - 24.75

y = - 24.75/-5

y = 4.95

x = 26.3 - 4y = 26.3 - 4(4.95)

x = 26.3 - 19.8

x = 6.5

If Nana wants to buy 3 packs of streamers and 6 sets of beads, her bill before tax would be

(3 × 6.5) + (6 × 4.95) = 19.5 + 29.7

= $49.2

The slope of a line is 2. The y-intercept of the line is -6 Which statements accurately describe how to graph the function?
Locate the ordered pair (0-6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line.
Draw a line through the two points.
Locate the ordered pair (0-6). From that point on the graph, move up 2left 1 to locate the next ordered pair on the line
Draw a line through the two points.
Locate the ordered pair (-60). From that point on the graph, move up 2, right 2 to locate the next ordered pair on the line.
Draw a line through the nivo points.
Locate the ordered pair (-60). From that point on the graph, move up 2. left 1 to locate the next ordered pair on the line.
Draw a line through the two points,
Mark this and retum
Save and Exit
Subemt

Answers

Answer: A

Step-by-step explanation:

We know the y intercept is -6 so the first point will be  (0,-6)   and we also know that the slope is  2/1  so after plotting (0.-6) you will have to go up by two and  1 unit to the right.  

Answer:

The answer is A!

Step-by-step explanation:

I just did it and it is right! Have an absolutaly amazing day! :) :) :) :)

use the following function rule to find
f(1)
f(x)=(2)^x+8
f(1)=?

Answers

Answer:

Step-by-step explanation:

The expression f(x) means that the function y is in terms of x; that is to say that x is the independent variable that will change, as it changes, y changes along with it.  Replacing x with what we want to evaluate the function at is how we solve this.  If we replace x with a 1, our function is:

[tex]f(1)=2^1+8[/tex]

2 to the 1st power is 2, and add 8 to that and you get that

f(1) = 10

Answer:

its 16

Step-by-step explanation:

Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+ 72t+ 100 (where t is time in seconds and h is height in feet) How long will it take the coin to reach the stream?

Answers

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

[tex]h(t) = -16t^{2} + 72t + 100[/tex]

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

[tex]h(t) = -16t^{2} + 72t + 100[/tex]

[tex]-16t^{2} + 72t + 100 = 0[/tex]

Multiplying by (-1)

[tex]16t^{2} - 72t - 100 = 0[/tex]

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

[tex]16t^{2} - 72t - 100 = 0[/tex]

So

[tex]a = 16, b = -72, c = -100[/tex]

[tex]\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584[/tex]

[tex]t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61[/tex]

[tex]t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11[/tex]

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

A code consists of two digit numbers chosen from 00-99 (i.E 00, 01, 02…..99) followed by two different letters of the alphabet. What is the probability that the code is 43MZ?

Answers

Answer: 1/67600

Step-by-step explanation:

probability that the code is 43MZ:

Probability = (Total Required outcome / total possible outcomes)

Possible outcomes (digit) = (00,.............. ..., 99)

2.) possible outcomes (alphabet) = (A, B,............... .., Z)

P(43MZ) = P(43) × P(M) × P(Z)

P(43) = 1/100

P(M) = 1/26

P(Z) = 1/26

THEREFORE ;

P(43MZ) = (1/100) × (1/26) × (1/26) = 1/67600

The probability that Shruti succeeds at any given free-throw is 80%, percent. She was curious how many free-throws she can expect to succeed in a sample of 12 free-throws.


She simulated 25 samples of 12 free-throws where each free-throw had a 0.8, point, 8 probability of being a success.


Shruti counted how many free-throws were successes in each simulated sample. Here are her results:


Use her results to estimate the probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.

Give your answer as either a fraction or a decimal.

Answers

Answer:

0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either she makes it, or she does not. The probability of making a free throw is independent of other free throws. So 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 probability that Shruti succeeds at any given free-throw is 80%, percent.

This means that [tex]p = 0.8[/tex]

Sample of 12 free throws:

This means that [tex]n = 12[/tex]

Use her results to estimate the probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.

[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12)[/tex]

In which

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

[tex]P(X = 10) = C_{12,10}.(0.8)^{10}.(0.2)^{2} = 0.2835[/tex]

[tex]P(X = 11) = C_{12,11}.(0.8)^{11}.(0.2)^{1} = 0.2062[/tex]

[tex]P(X = 12) = C_{12,12}.(0.8)^{12}.(0.2)^{0} = 0.0687[/tex]

[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) = 0.2835 + 0.2062 + 0.0687 = 0.5584[/tex]

0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.

Answer:0.8

Step-by-step explanation:in 5 of the 25 stimulated trials, scrutiny continued federal than 10 successes

Use the expression 8a + 16c.

Part A
Factor the expression using the GCF.

Answers

Answer:

8(a+2c)

Step-by-step explanation:

Answer:

C. 8(a + 2c)

Step-by-step explanation:

List some ways that modern cities in developed countries have improved sanitation conditions over the last 200 years.

Answers

Answer:

They can build pipes for clean water, and building toilets can also help get rid of unhygienic.... You know Also, hygiene education would help too.

Hope that helped ya, vote, thanks, and brainliest. Have an great day! :D

Some improvements that large cities have made to improve health are: Water purification, Sewage channeling, and Recycling, reuse, and waste reduction

Sanitation is a term to refer to:

A set of actions focused on improving public healthPromotes environmental healthIncludes activities such as the sanitary management of drinking water, wastewater, and discharges, solid waste, organic, among othersIncludes actions related to sanitation to reduce health risks and prevent contamination

During the last 200 years, there have been many actions to improve sanitation conditions in large cities such as:

Improvement of the hospital and health post systemImprovement of the sewerage networkWater purificationSewage channelingRecycling, reuse, and waste reductionPest control

These actions have allowed the health of the cities to improve and the life expectancy of people to be much higher. This also contributes to a cleaner, more livable, and less polluted city.

Learn more in: https://brainly.com/question/4296165

If y’all in 6 grade help each other out with the answer

Answers

Answer:

You got it, I have been busy and I am glad to see someone feeling the same way as me!

Answer:

what the question

Step-by-step explanation:

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What does it mean for us to live in a globalized society today? Estimate the product. Round the first factor to the nearest ten, round the second factor to the nearest hundred, and then multiply 81 x 572 Why do land plants need to conserve water What was the Dred Scott decision?please PLEASE HELP DO NOT IGNORETrue or False?: Claims are provable and supported by opinions and evidence. *TrueFalse The golden gate bridge is 2.7 kilometers long. Grace walks across it taking photos. She takes a photo at the beginning and the end of the bridge, and every .3 kilometers along the way. How many photos does she take altogether? please answer from the attachment Which statement best describes the spread of the Industrial Revolution? Write two to four sentences explaining how the authors use of second- and third-person point of view helps readers understand the Childrens March.Write two to four sentences explaining how the authors use of second- and third-person point of view helps readers understand the Childrens March. 24) What is the narrator's main purpose in this passage?astianmusicA)to describe how to become a composerEliminateB)to convince the reader to be more musical.came aninC)to entertain readers with a childhood storyD)to tell the true story of a real person's lifemusicpair hishannrawl25) What evidence does the author provide to demonstrate Bach's natural IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. If a certain statistician has an of 122 , what percent of the population has a lower IQ?A. 47% B. 93% C. 22% D. 99% E. 7% Which characteristic most likely describes the water in Lake Taal?Select the correct answer.o The water will appear slightly red.O The water will have a slippery feel.The water will taste bitter.The water will taste sour. what percent of 420 is 70 1/3 x 1 1/4 as a fraction PLEASE HELPEven people who use tobacco casually can form a(n) _____ and have a difficult time quitting. Rewrite the decimal in the sentence below as a percentage.The large tanks made up 0.66 of their sales last quarter. What were the effects of the War on Drugs? Select three options.Prison populations increased.No-knock warrants were banned.Government agencies expanded.Government regulations were reduced.Mandatory sentencing laws were passed. A washer and a dryer cost 1021 combined. The washer costs 71 more than the dryer. What is the cost of the dryer? Michael has $10 in his savings account. Option 1 will add $100 to his account each week. Option 2 will double the amount in his account at the end of each week. Michael wants to have at least $700 in his account at the end of 7 weeks to buy a mountain bike. what is the square root of 3.375