Raymond is building a new dog run with a raised border in his backyard. The boards on the two shorter sides are 6 feet thick, and the boards on the two longer sides are 4 feet thick. Raymond wants the outer length of the dog run to be 4 times its height and the outer width to be 2 times its height. He also wants the boards to rise 4 feet above the level of the grass in the dog run. Use x as the variable throughout the entire problem. Write a simplified expression in standard form that represents the volume of the grass in the dog run.

Answer:

Step-by-step explanation:

I need the diagram

Answer:

77

Step-by-step explanation:

44÷4=11 she wraps 11 presents in one hour so 11×7=77 so she wraps 77 presentS in 7 hours

Answer:

77

Step-by-step explanation:

First we have to find the unit rate. So we divde 44 by 4 and get 11. To find how any presents she can wrap in 7 hours, we multiply 7 by 11 to get 77. So, she can wrap 77 presents in 7 hours.      

Answer:

|x-5|=2

Step-by-step explanation:

1- Find the mid value between the given numbers 3 and 7

(3+7)/2= 10/2 = 5

2- Find the difference btween the mid value (5) and any of the two given numbers (3 or 7). Use the absolute value for the difference.

|5-3|= 2 or |7-5|=2

3- Arrange the absolute equation like this:

|x-mid value from step 1|= absolute difference from step 2

|x-5|=2

4- Double check the answer with the given values 3 and 7 using our equation |x-5|=2

|3-5|=2 correct

|7-5|=2 correct

Answer:

x = {-5, 4}.

Step-by-step explanation:

2x^2 + 2x - 4 = 36

2(x^2 + x - 2 = 18)

x^2 + x - 2 - 18 = 0

x^2 + x - 20 = 0

(x + 5)(x - 4) = 0

x = -5, 4.

Answer:

43

Step-by-step explanation:

Answer:

So say she has 20 pieces of candy if her sibilings are young the she take ten and split the 10 into two 5

Step-by-step explanation:

Answer:

C. y - 1 = 5( x - 8)

Step-by-step explanation:

Since line is passing through (8, 1) and has a slope 5.

So, the equation of line in point slope form is given as:

y - 1 = 5( x - 8)

Answer: C

Step-by-step explanation:

Answer:

Not a right triangle

Step-by-step explanation:

Find AC by doing 22-13=9

Use Pythagorean Theorem to determine if it is a right triangle.

8 squared plus 5 squared=89

Square rt= 9.43

And 9.43 is not equal to 9.

Answer:

$250

Step-by-step explanation:

1st month you spent $300. And the flight back is $200. 300+200=500. 1500-500=1000. Yoy have 1000 dollars to spend in 4 months. 1000/4=250, so each month you can spend $250.

Answer:

the x coordinate is 1

the y coordinate is 1

Step-by-step explanation:

Answer:

1,1

Step-by-step explanation:

Answer:

For this case, the surface area of the cylinder is given by:

A = 2 * pi * r * h + 2 * pi * r ^ 2

Where.

r: cylinder radius

h: cylinder height

Substituting values we have:

A = 2 * 3.14 * 5 * (2 * 5) + 2 * 3.14 * 5 ^ 2

A = 471

Answer:

The total surface area of the cylinder is:

A = 471

Step-by-step explanation:

please mark brainlest

Answer:

your answer is b

Step-by-step explanation:

Answer:

3,240

Step-by-step explanation:

The computation of the population of rabbits in the year 2003 is shown below:

Given that

In the year 1995, the population of the rabbits was 1000

And, in 1999 the population of the rabbits grown to 1,800

So there is an increase of

= (1800 - 1000) ÷ 1000

= 80%

So for 2003, the population of the rabbits is

= 1800 + (1800 × 0.80)

= 3,240

Given:

The population of rabbits on an island is growing exponentially.

In the year 1995, the population of rabbits was 1000, and by 1999 the population had grown to 1800.

To find:

Expected population of rabbits in the year 2003, to the nearest whole number.

Solution:

The exponential growth model is:

[tex]y=ab^t[/tex]

Where, a is the initial value, b is the growth factor, t is the number of years.

Let y be the population of rabbits t years after 1995.

In the year 1995, the population of rabbits was 1000, it can be written as (0,1000) and by 1999 the population had grown to 1800, it can be written as (4,1800).

For (0,1000),

[tex]1000=ab^0[/tex]

[tex]1000=a(1)[/tex]

[tex]1000=a[/tex]

For (4,1800) and a=1000, we get

[tex]1800=1000b^4[/tex]

[tex]\dfrac{1800}{1000}=b^4[/tex]

[tex]1.8=b^4[/tex]

[tex](1.8)^{\frac{1}{4}}=b[/tex]

[tex]b\approx 1.1583[/tex]

The required exponential model is:

[tex]y=1000(1.1583)^t[/tex]         ...(i)

in year 2003, the number of years since 1995 is 8.

Putting t=8 in (i), we get

[tex]y=1000(1.1583)^8[/tex]

[tex]y=3240.1748[/tex]

[tex]y\approx 3240[/tex]

Therefore, the population of rabbits in the year 2003 is 3240.

Answer:

(x - 2) (x - 4)

Step-by-step explanation:

-2 & -4 are a factor of -8 and a sum of -6

-2 x -4 = -8

-2 + -4 = -6

Therefore the answer is (x - 2) (x - 4)

Answer:

b is 100

Step-by-step explanation:

Answer:

Average is 100

Median is 87.5

Step-by-step explanation:

For average you add up all numbers and divide by how many there are, in this case all numbers added together equals 600, then you divide by 6.

For median, you put the valuse from least to greatest and find the number in the middle, for these numbers, there are 2, 75 and 100, so you add those together and divide them by 2.

Answer:

=4x4−2x2−3x+8

Step-by-step explanation:

Answer:

4x^4-2x^2-3x+8

Step-by-step explanation:

I'm pretty sure this is the answer

Answer:

Arithmetic sequence

Step-by-step explanation:

Each term is the previous term +4 so it is an arithmetic sequence

Answer:

74 ft

Step-by-step explanation:

plz give brainlyest

Answer:

c=a2+b2=102+102≈14.14214

Step-by-step explanation:

NO give me brainliest :)

Answer:

The equation of the parabola in intercept form is [tex]y = -\frac{3}{4}\cdot x\cdot (x-4)[/tex].

Step-by-step explanation:

The equation of the parabola in intercept form is defined by following formula:

[tex]y = a\cdot (x-r_{1})\cdot (x-r_{2})[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]a[/tex] - Vertex constant.

[tex]r_{1}, r_{2}[/tex] - Intercepts of the parabola.

According to the graph, we find that intercepts are 0 and 4, respectively, and a point in the parabola is [tex](x,y) = (3, 2.25)[/tex]. If we know that [tex]r_{1} = 0[/tex], [tex]r_{2} = 4[/tex] and [tex](x,y) = (3, 2.25)[/tex], then the vertex constant is:

[tex]a = \frac{y}{(x-r_{1})\cdot (x-r_{2})}[/tex]

[tex]a = -\frac{3}{4}[/tex]

The equation of the parabola in intercept form is [tex]y = -\frac{3}{4}\cdot x\cdot (x-4)[/tex].

Answer:

Keisha bought 4 boxes of crayons for $0.78 each. How much will she pay for the 4 boxes of crayons?

$3.12

Answer:

yes its correct

Step-by-step explanation:

good job  

Answer:

yes, I think you are correct

Answer:

75.39822

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

to find the volume you just do length x width x height.

Answer:

y=13x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-4=13(x-0)

y-4=13(x)

y-4=13x

y=13x+4

Answer:

y=13x + 4

Step-by-step explanation:

Hi there!

We want to write the equation of the line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept

We are given that the line has a slope of 13, and a y intercept of (0,4)

As we are directly given the slope and the y intercept, we can substitute these values into the formula to find the equation of the line

First, substitute 13 as m

y=13x + b

Now, as stated earlier, the value of b is the value of y at the y intercept.

We were given that the y intercept is (0,4); the value of y at this point is 4

Substitute 4 as b into the equation

y=13x + 4

Hope this helps!

See more on this topic here: https://brainly.com/question/19893131

Answer:

points

Step-by-step explanation: