Tyler and Bethany have 240 feet of fencing with which to build a garden. Tyler wants the garden to be in the shape of a square, while Bethany wants it to be rectangular with a length of 50 feet and a width of 70 feet. Which design would give the maximum area for the garden? Explain.

Bethany’s design would give the larger garden because the area would be 3,500 ft2.
Tyler’s design would give the larger garden because the area would be 3,600 ft2.
Bethany’s and Tyler’s designs would give a garden with the same area.
Bethany’s and Tyler’s designs are not possible with the given amount of fencing.

Answers:   49,   1,   49

Those values go in the blanks from left to right

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

Explanation:

The rule we use is x^(-k) = 1/(x^k)

That means if we're evaluating something like 7^(-1), then it's the same as 1/(7^1) = 1/7 which explains how x = -1 leads to y = 1/7.

Similarly, 7^(-2) = 1/(7^2) = 1/49 is the y value when x = -2. So you'll type 49 into the first box to fill in that missing denominator.

Raising any nonzero value to the zeroth power leads to 1. That rule is x^0 = 1 where x can be anything you want but it can't be zero. Therefore 7^0 = 1 goes in the second box.

Lastly, 7^2 = 7*7 = 49 will go in the third box.

Answer:

Margot gets from A to B faster

Step-by-step explanation:

Alan takes 2 hr and 35 min = 2. 58... hr

Margot takes 147/64 hr = 2.296.. hr

Answer:

1.4 · 10³

Step-by-step explanation:

6.58 · [tex]10^{6}[/tex] ÷ 4.7 · 10³

6.58 ÷ 4.7 = 1.4

[tex]10^{6}[/tex] - 10³ = 10³

1.4 · 10³

Answer:

3.0926 x 10^10

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

3 sparrows for every 4 finches

12 sparrows

12÷3= 4

4×4= 16

16 finches

Answer:

50

Step-by-step explanation:

30% * n = 15

Change to decimal form

.30 *n = 15

Divide each side by .30

.30n/.30 = 15/.30

n =50

The number is 50

Answer:

A triangle is dilated by scale factor of 1/5

Step-by-step explanation:

A triangle has three sides. All the corresponding angles of triangle must be congruent. When the triangle is dilated it is rotated 90 degrees clockwise about its origin. The shape of the triangle will not change due to rotation of dilation.

Answer:

Is and his pay is always a multiple of 3

Step-by-step explanation:

I did the i-Ready

Answer: his pay is always a multiple of 3

Step-by-step explanation:

Answer:

131

Step-by-step explanation:

180-49= 131 therefore the answer is 131

Answer:

a)  0

b) -5

Step-by-step explanation:

We want to find f(x) = -4

This means find the value of x  where y=-4

The value of x  where y=-4 is x=0

Then find f(2)

This means find the value of y when x =2

The value of y when x=2 is -5

Answer:

indeed it does

Step-by-step explanation:

wheres the diagram exactly?

Answer: x^2 (the ^ represents that the next number is an exponent)

Step-by-step explanation:

Any number squared (to the power of 2) is just itself multiplied by itself. Remember, multiplication is repeated addition and exponents are repeated multiplication.

Answer:

Yes, they should increase the budget, because both 8 (Manuel) and 9 (Gretchen) are at least 8. 8 times per month is equivalent to 2 times per week.

Step-by-step explanation:

Answer from Plato

Hence, the answer is Plato.

What is the measurement?

Measurement is the process of finding a number that shows the amount of something. Time the ongoing sequence of events is time. We can measure time in seconds, minutes, hours, days, weeks, months, and years.

Here given that,

The club will base its decision about whether to increase the budget for the indoor rock climbing facility on

the analysis of its usage. The decision to increase the budget will depend on whether members are using

the indoor facility at least two times a week. Use the best measure of center for both of the original data

sets to determine whether the club should increase the budget.

As per this we get that,

Yes, they can increase the budget, because both Manuel has [tex]8[/tex] and Gretchen [tex]9[/tex] are at least [tex]8[/tex] and [tex]8[/tex] times per month is equivalent to the two times per week.

Hence, the answer is Plato.

To know more about the measurement

https://brainly.com/question/18076822

#SPJ2

Answer:

SD = 2x

UD = x[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The hypotenuse of a 30-60-90 triangle is 2 times the length of the shorter leg.

SU is the shorter leg = x

So, SD = 2x

The longer leg of a 30-60-90 triangle is [tex]\sqrt{3}[/tex] times the shorter leg.

So, UD = x[tex]\sqrt{3}[/tex]

Answer:

Below in bold.

Step-by-step explanation:

In  a 30-60-90 triangle the sides are in the ratio 1:√3:2 so if the shortest side SU = x then the long leg = √3x and the hypotenuse = 2x.

Answer:

There are 59,049 different ways of answering the exam.

Step-by-step explanation:

The first thing we need to count is the total number of selections, then we need to count the number of options for each one of these selections. The total number of combinations will be equal to the product between all the numbers of options.

Here, the selections are each one of the 10 questions, so we have 10 selections.

And each one of these selections has 3 options (true, false, blank)

So, we have 10 selections with 3 options each, then the total number of combinations will be:

C = 3*3*3*3*3*3*3*3*3*3 = 3^10

C = 59,049

There are 59,049 different ways of answering the exam.

Answer:

1306 feet

Step-by-step explanation:

sin∅ = opp/hyp

sin21 = 468/hyp

hyp = 468/sin21

hyp = 1305.920355304657206

Rounded

1306 feet

Answer:

angle c is 82 degree because 82 degree and angle c are corresponding angles.

Step-by-step explanation:

note :corredponding angles are always equal.

Answer:

graph 1 proportional

graph 2&3 is non proportional

i think

Answer:

x = -17/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

3x + 5(2 + x) = 4x - 7

Step 2: Solve for x

Answer:

x=[tex]\frac{-17}{4}[/tex]

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x+5(2+x)=4x−7

3x+(5)(2)+(5)(x)=4x+−7(Distribute)

3x+10+5x=4x+−7

(3x+5x)+(10)=4x−7(Combine Like Terms)

8x+10=4x−7

8x+10=4x−7

Step 2: Subtract 4x from both sides.

8x+10−4x=4x−7−4x

4x+10=−7

Step 3: Subtract 10 from both sides.

4x+10−10=−7−10

4x=−17

Step 4: Divide both sides by 4.

[tex]\frac{4x}{4}[/tex]=[tex]\frac{-17}{4}[/tex]

x=[tex]\frac{-17}{4}[/tex]

Answer:

B is the correct answer

Step-by-step explanation:

Answer:

it in a is correct if im wrong it is B

Step-by-step explanation:

Answer:

72 yd^3

Step-by-step explanation:

Answer:

Volume of this pyramid is 72.

Answer: -1.8 and 11.4

Step-by-step explanation:

Trust me or don’t lol

Answer:

D. 2.6 and 7

Step-by-step explanation:

Plato course, did the test

Answer:

a)

We know that the total cost for the 150 shirts (plus a flat-rate of $25) is $1,825.

First, let's find how much costs each shirt.

First, the total cost of the shirts alone (neglecting the flat-rate) is:

$1,825 - $25 = $1,800

Then each shirt costs equal to the quotient of the cost and the number of shirts:

$1,800/150 = $12

Each shirt costs $12.

Then if you order T shirts, the total cost will be the flat-rate of $25 plus T times $12. The equation is:

C(T) = $25 + T*$12

b) C represents the cost

   T represents the number of shirts ordered.

c) The initial value is the constant value, in this case, is $25

The rate of change is the coefficient that multiplies the independent variable (T), in the equation the rate of change is $12.

Answer:

-15x - 12 + 9x^2

Step-by-step explanation:

(-7x - 5) - (-9x^2 + 8x + 7)

-7x - 5 + 9x^2 - 8x -7

-15x - 12 +9x^2

what is that 2 by the 9x

We will simplify the given expression to get:

9x^2 - 15x - 12

Here we have the expression:

(-7x - 5) - (-9x^2 + 8x + 7)

To simplify it, we just perform the difference between the polynomials:

-7x - 5 + 9x^2 - 8x - 7

Now we group terms with correspondent powers of x:

9x^2 + (-7x - 8x) + (-5 - 7)

Now we simplify this:

9x^2 - 15x - 12

This is the quadratic equation simplified.

If you want to know more about simplification, you can read:

https://brainly.com/question/723406

Answer:

C

Step-by-step explanation:

This method is the best because it will survey the customers under one condition : every 10. If the store gets a lot of customers, then this should be easier to do. The rest are mostly dependent on what they do and that influences the survey. However, C makes it so that every 10 people are surveyed.

Answer:

A isnt the correct answer. B doesnt seem reasonable because its one specific item. D means they arent exactly a customer since they didnt buy anything therefore the answer would be C

C is your answer.

not sure about it tho but its what i would put

Answer:

$33.27

Step-by-step explanation:

Answer:

1st answer is correct

Step-by-step explanation:

JL

hope this helps you

can I have the brainliest please?