7.3 reteaching with practice 415-420

The scale factor of 0.75 would ensure that the new fence has a smaller area

The total cost of fencing the smaller area is $1610.28

From the complete question, we have the following parameters:

Start by calculating the perimeter of the smaller area using:

Smaller Area = Perimeter * Scale factor * k

Where k represents the number of units on the smaller area

So, we have:

Smaller Area = 28 yards * 0.75 * 12

Evaluate the product

Smaller Area = 252 yards

The total cost is then calculated as:

Total cost = Unit cost * Smaller Area

This gives

Total cost = 6.39 * 252

Total cost = $1610.28

Hence, the total cost of fencing is $1610.28

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I could help you with math

Answer: 75 degrees

Step-by-step explanation:

If Boyce had started investing when he was 20 the amount he would have more than he does in his retirement savings would be b. $321,946.93.

First convert the interest to a monthly rate:

= 4% / 12 months

= 1 / 3 %

Period:

= (63 - 34) x 12 months a year

= 348 months

Amount saved:

= Amount x ( (1 + rate) ^ number of periods - 1) / rate

= 450 x ( (1 + 1/3%)³⁴⁸ - 1 ) / 1/3%

= $294,811.07

If he started saving at 20, the number of periods would be:

= (63 - 20) x 12

= 516 months

Amount saved:
= 450 x ( (1 + 1/3%)⁵¹⁶ - 1 ) / 1/3%

= $616,758

The difference is:

= 616,758 - 294,811.07

= $321,946.93

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Answer:

Step-by-step explanation:

-2  1/2 = -2.5( i between -2 and -3

 -3/4   One mark short to 1

        or 3 marks from  zero

Answer:

The -2 1/2 would goin the middle of the -3 and -2. 3/4 would go on the 3rd line between 0 and 1. Hope this helped

Step-by-step explanation:

The exponential growth function will be:  y = 4000(1 + 0.04)⁴

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.

We are given;,

Initial population = 4000

Rate of increase = 4%

Let current population be p.

Let number of years passed be t.

Thus, the exponential growth function will be:

y = 4000(1 + 0.04)⁴

Complete question is;

A town has a current population of 4,000. The population increased 4 percent per year for the past four years, Emergency response professionals make up 3 percent of the town's population.

Part A

Write a function that represents the population (p) of the town in terms of the number of years (1) for the last four years.

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Answer:

number of emergency response professionals = 3% of population

e = 0.03p

e is a function of p

e(p) = 0.03p

Step-by-step explanation:

edumentum

The differnce in the height of Carrie and Julie given their rate of growth is 3 inches.

Carrie's height = 5 feet 1 inch + (2 x 5)

= 5 feet 1 inch + 10 inches

5 feet 11 inches

Julie's height = 4 feet 7 inches + 13 inches

4 feet 20 inches

Difference in height = 5 feet 11 inches - 4 feet 20 inches

I feet = 12 inches

71 inches - 68 inches

3 inches

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Answer:

Slope of the line that is parallel: -1

Slope of the line that is perpendicular: 1

Step-by-step explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

-4x - 4y = -2 <== add 4x to both sides

+4x         +4x

-4y = 4x - 2 <== divide both sides by -4

/-4      /-4

y = -x + 1/2

The slope of the line that is parallel to this line is -1 (invisible 1 in front of x).

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (-1)

2. Flip it (-1/1)

3. Change the sign (1)

For a slope of -1, the reciprocal would be: 1

Hope this helps!

Answer:

Parallel line:

-1

Perpendicular line:

1

Step-by-step explanation:

Let's simplify first!

-4x-4y=-2

-4x=-2+4y

4y=-4x+2

y=-x+0.5

For a parallel line, the slope should be the same

Therefore...

Slope=1

For a perpendicular line, the slope should be the negative reciprocal of the original.

Therefore...

Slope=-(-[tex]\frac{1}{1}[/tex])

=1

Hope this helps! :D

[tex]\sqrt{\cfrac{9x^4}{36}}\implies \sqrt{\cfrac{3^2 (x^2)^2}{6^2}}\implies \sqrt{\cfrac{(3x^2)^2}{6^2}}\implies \sqrt{\left( \cfrac{3x^2}{6} \right)^2}\implies \cfrac{3x^2}{6}\implies \cfrac{x^2}{2}[/tex]

[tex]2x + 5 = 21[/tex]

Subtract both sides 5

[tex]2x + 5 - 5 = 21 - 5[/tex]

[tex]2x = 16[/tex]

Divide both sides by 2

[tex] \frac{2x}{2} = \frac{16}{2} \\ [/tex]

[tex]x = 8[/tex]

Answer:

8

Step-by-step explanation:

To determine the value of "x", we need to isolate the "x" variable completely. The first step in isolating the variable is to remove the constant on the L.H.S. This can be done by subtracting 5 both sides.

⇒ [tex]2x + 5 = 21[/tex]

⇒ [tex]2x + 5 - 5 = 21 - 5[/tex]

⇒ [tex]2x = 16[/tex]

The last step in isolating the "x" variable is to isolate the cooeficient of x. This can be done by dividing the cooeficient of x both sides.

⇒ [tex]2x = 16[/tex]

[Cooeficient of x is 2]

⇒ [tex]\frac{2x}{2} = \frac{16}{2}[/tex]

⇒ [tex]x = \frac{16}{2} = 8[/tex]

In conclusion, the value of the "x" variable is 8.

Answer:

Circumference: 10.63

Hope this helps.

Answer:

(-5)*2 - 12

Step-by-step explanation:

First multiply (-5) and 2. Then (-10) and (-12) have same signs ie. neagtive .

If two integers have same sign, add and the result will have the sign of the both integers.

(-5)*2 - 12 = -10 - 12

                = -22

Answer:

where

Step-by-step explanation:

Answer: 79

Step-by-step explanation:

Answer:

A = 32 cm²

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the height )

here b = 8 and h = 4 , then

A = 8 × 4 = 32 cm²

Answer:

x=7.1429 I think that's the answer and I think it's A

according to distributive property

x+(y+z) = (x+y) + z

hope it helps...!!!

Answer:

C

Step-by-step explanation:

because the nearest is to ones tenth hundred thousand

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \tt \dashrightarrow \:14 {g}^{2} [/tex]

plug the value of given as -1 :

[tex]\qquad \tt \dashrightarrow \:14( - 1) { }^{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:14(1)[/tex]

[tex]\qquad \tt \dashrightarrow \:14[/tex]

Do, the equivalent term is 14

Ones in red are common ones

1,5,25

Answer:

equals 1864 and this head and this talk

Answer:

Answer is D

Step-by-step explanation:

Day 1 = 60

Day 2 = 120

Day 3 = 180

Day 4 = 240

Day 5 = 300

Day 6 = 360

Day 7 = 420

Day 8 = 480

The graph D will show the best relationship between  the number of days and the number of frozen treats sold.

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

It is given that he sells 60 frozen treats per day so everyday the frozen treats are multiplied by 60.

We can see the linear relationship between frozen treats and number of days.

Day 1 -  60

Day 2 - 120

Day 3-  180

Day 4-   240

Day 5-  300

Day 6-  360

Day 7-  420

Day 8-  480

Hence the graph D will show the best relationship between  the number of days and the number of frozen treats sold.

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Answer:

I thnk the answer is in the next question go do that then

Step-by-step explanation:

then come back and figure it out

Step-by-step explanation:

can you clear more I don't understand