Amanda is building a soft triangular kennel for her dog. She has four wooden planks of lengths 2 feet, 3 feet, 5 feet, and 6 feet. Determine which planks Amanda should use to build the triangular-shaped kennel. Enter the lengths from least to greatest.

ANSWER

D. [tex]126 {in}^{3} [/tex]

EXPLANATION

The formula for calculating the volume of a rectangular prism is

[tex]Volume =lbh[/tex]

The given rectangular prism has

length,

[tex]l = 8 \: in[/tex]

The width is

[tex]w = 4 \frac{1}{2} in[/tex]

and the height is

[tex]h = 3\frac{1}{2} in[/tex]

We substitute the values into the formula to obtain;

[tex]Volume =8 \times 4 \frac{1}{2} \times 3 \frac{1}{2} [/tex]

[tex]Volume =8 \times 4.5 \times 3.5[/tex]

[tex]Volume =126 {in}^{3} [/tex]

Answer:

The correct answer is option D.  126 in³

Step-by-step explanation:

Formula:-

Volume of cuboid - lbh

l - Length of cuboid

b - Breadth of cuboid

h - Height of cuboid

To find the volume of prism

Here rectangular prism is like a cuboid.

l = 8 in, b = 4 1/2 = 9/2 and h = 3 1/2 = 7/2

Volume = lbh

     = 8 * 9/2 * 7/2 = 126 in³

Therefore the correct answer is option D.  126 in³

Answer:

8 1/2

Step-by-step explanation:

3/4 - 1/4 = 2/4 = 1/2

16 - 8 = 8

8 + 1/2 = 8 1/2

There are a total of [tex]\(9\)[/tex] integers that satisfy the given inequality.

To solve the inequality [tex]\(3n^2 - 4 \leq 44\)[/tex], follow these steps:

1. Add 4 to both sides of the inequality:

  [tex]\[ 3n^2 \leq 48 \][/tex]

2. Divide both sides by 3:

  [tex]\[ n^2 \leq 16 \][/tex]

3. Take the square root of both sides. Remember to consider both the positive and negative square roots since [tex]\(n^2\)[/tex] can be positive or negative:

  [tex]\[ |n| \leq 4 \][/tex]

This inequality implies that [tex]\(n\)[/tex] must be within the interval [tex]\([-4, 4]\)[/tex] inclusive.

Now, count the integers within this interval: [tex]\(-4, -3, -2, -1, 0, 1, 2, 3, 4\)[/tex]. There are a total of [tex]\(9\)[/tex] integers that satisfy the given inequality.

The probable question may be:

"How many integers [tex]$n$[/tex] satisfy the inequality [tex]$3n^2 - 4 \le 44$[/tex]?"

Answer:

b

Step-by-step explanation:

Answer:

B.There is a weak negative association.

Step-by-step explanation:

Step-by-step explanation:

2.5 : 2 = 1.25 per dozen

1.25 x 15 = 18.75

You know 15 odd number so first you will need time 2 1/2 by 7 and you know that make 14 dozens cookie so you need 17 1/2 cups of floor and you 2 1/2 is 2 dozens so divide by 2 you get 1 dozens so it 1 1/4

17 1/2 + 1 1/4 = 18 3/4

Total of 18 3/4 of cup of flours to make 15 dozens of cookie

Answer:32 black

6 white long sleeve shirts

Step-by-step explanation:

62+6=68

100-68=32

Answer:

Step-by-step explanation:

Since out of 62 who preferred short- sleeved shirts, half were white and half were white.

So members who preferred black and white short sleeved T- shirts = [tex]\frac{62}{2}[/tex] = 31 each

Since members who liked white T-shirts = 37

So members who preferred long sleeved white T-shirts = 100 - (37+31) = 32

Therefore, the table formed will be

                         Short-sleeved          Long sleeved            Total

Black                         31                             32                        63

White                         31                               6                         37

Total                          62                             38                        100

Answer:

The skier would have to to go 4 times for the season pass to be cheaper than the day stump.

Step-by-step explanation:

This is because the day pass is $103, including ski rentals. $103 times 4 is 412.    Then I have to find out what the cost is for 4 ski rentals, which is 25 times 4. That means that 4 ski rentals are $100. Then I add that to the $300, and that is $400. So therefore, the season pass is cheaper after 4 times of going skiing.

Answer:

Step-by-step explanation:

Triangles JKN MLN are similar.

There is a right angle at J and M. <JNK and <MNL are vertically opposite. By AA the triangles are similar.

Find JN

JK = 3

LM = 9

JK/LM = JN/(20 - JN)

3/9 = JN/(20 - JN)

1/3 = JN/(20 - JN)

20 - JN = 3JN

20 = 4JN

JN = 5

NM = 20 - 5

NM = 15

Find KN

KN^2 = JN^2 + JK^2

JK = 3

JN = 5

KN = ?

KN^2 = JK^2 + JN^2

KN^2 = 3^2 + 5^2

KN^2 = 34

KN = sqrt(34)

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

Find LN

LN = ?

MN = 15

LM = 9

LN = sqrt(15^2 + 9^2)

LN = sqrt(306)

LN = 3*sqrt(34)

Find LK

LK = sqrt(34) + 3sqrt(34)

LK = 4 sqrt(34)

Answer:

the answer is 1,337

Step-by-step explanation:

I found this by multiplying 39 by 39, add 56 ,add 7,add 778,then subtract 908 to get 1,337

Answer:58,476

Step-by-step explanation:

Answer:

58476 beets

Step-by-step explanation:

ANSWER

(-1,5)

(7,5)

EXPLANATION

The given set of parametric equations is:

[tex]x = 4t + 3[/tex]

and

[tex]y = 5 {t}^{2} [/tex]

We make t the subject in the first equation to get:

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

We put this into the second equation to get;

[tex]y =5( \frac{x - 3}{4} )^{2} [/tex]

When x=-1,

[tex]y =5( \frac{ - 1- 3}{4} )^{2} = 5[/tex]

Therefore (-1,5) lies on this line.

When x=7,

[tex]y =5( \frac{7 - 3}{4} )^{2} = 5[/tex]

Therefore (7,5) also lie on this line.

Question 7: $3945

78,900÷100×5= 3,945

or 789,00×0.05= $3,945

Question 8: I think it may be $675.46 ( but I'm not sure)

$1010 is her annual insurance premium so to find one month we need to divide $1010 by 12

$1010÷12= $84.20

also her annual real estate tax is $938 and to find one month we need to divide this by 12 as well.

$938÷12=$78.20

and in order to find out her combined monthly payment we need to add them all together

$513.12+$84.16+$78.16= $675.46

Question 9: is False

Question 10: I don't know

Hope this helps

Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think the answer maybe 7

Answer:

754 ft^3

Step-by-step explanation:

r=4

h=15

v=pi(r^2)h

754 ft ^3 is the answer to your question

The third one cuz (0,1) is a point then you go down 3 over one

Graph 2 is the graph that represents the linear function y = –3x + 1

Points on graph 2 are (0,1) (-1,4) (1,-2)

Substitute the points in the linear function

(0,1)

y = –3x + 1

y = -3*0 +1

y = 1

(0,1) is correct point

(1,-2)

y = –3x + 1

y = -3 * 1 + 1

y = -3 +1

y = -2

(1,-2) is the correct point

Therefore, graph 2 is the correct answer

To learn how to graph a linear equation, refer :

https://brainly.com/question/12730571

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x^2-5x-36 =0

=》(×+4)(x-9) =0

=》 x = 9 or -4

positive solution for x is 9

For this case we must find the positive solution of the following quadratic equation:

[tex]x ^ 2-5x-36 = 0[/tex]

To find the solutions we factor, that is, we look for two numbers that when multiplied give as result -36 and when summed give as result -5.

These are:

-9 and +4

[tex]-9 * 4 = -36\\-9 + 4 = -5[/tex]

So, we have:

[tex](x-9) (x + 4) = 0[/tex]

The roots are:

[tex]x_ {1} = 9\\x_ {2} = - 4[/tex]

The positive solution is 9.

Answer:

9

Answer:

AB = 16

Step-by-step explanation:

The perimeter is the sum of all 5 sides of the pentagon

Sum the 5 sides, equate to 69 and solve for x

12 + 3x + 10 + x + 3 + 2x + 2 = 69

6x + 27 = 69 ( subtract 27 from both sides )

6x = 42 ( divide both sides by 6 )

x = 7

AB = 2x + 2 = (2 × 7) + 2 = 14 + 2 = 16

Answer:

After 11 years the value of the investment reaches $1500.00

.

Step-by-step explanation:

The formula used for finding time (when the value reaches certain amount) is:

[tex]A= P(1+\frac{r}{n})^{nt}[/tex]

where A= Future VAlue

P= Principal Value

r= rate of interest (in decimal)

n= no of times investment is compounded

t= time

Putting the values given and finding Time t,

A= $1500

P= $1200

r= 2% or 0.02

n= 4 (compound quarterly)

[tex]A= P(1+\frac{r}{n})^{nt}[/tex]

[tex]1500= 1200(1+\frac{0.02}{4})^{4t}[/tex]

Dividing both sides by 1200 and solving 0.02/4 = 0.005

[tex]1.25= (1+0.005)^{4t}[/tex]

[tex]1.25= (1.005)^{4t}[/tex]

Since t is in power we take the logarithm ln on both sides.

The rule of logarithm says that the exponent can be multiplied with the base when taking log

[tex]\ln1.25=ln( 1.005)^{4t}\\\ln1.25=4t * ln( 1.005)\\0.22 = 4t * 0.005\\Solving\,\,\\\frac{0.22}{4*0.005} = t\\=> t= 11\, years[/tex]

Answer:

C) (25, -16), r = 10

Step-by-step explanation:

The equation of a circle: (x - w)² + (y - h)² = r², where (w, h) is the coordinate of the center, and r is the radius of the circle.

w = 25, h = -16, r = √100 = 10

So, the coordinate is (25, -16), and the radius is 10 units.

Answer:

C

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 25)² + (y + 16)² = 100 ← is in standard form

with (h, k) = (25, - 16) ← centre and r = [tex]\sqrt{100}[/tex] = 10

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y) → (x, - y)

That is the x- coordinate remains the same while sign of the y- coordinate changes.

That is the x- coordinate remains the same while sign of the y- coordinate changes.

A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes. Usually represented by (x,y) the x-value and y-value.

Under a reflection in the x- axis

a point (x, y) → (x, - y)

That is the x- coordinate remains the same while sign of the y- coordinate changes.

The coordinates change The x-coordinates will stay the same.

A set of values that show an exact position. On graphs it is usually a pair of numbers: the first number shows the distance along, and the second number shows the distance up or down.

Example: the point (12,5) is 12 units along, and 5 units up.

To learn more about coordinates, refer

https://brainly.com/question/4192910

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Here Is A Standard Multiplication Chart

Answer:

The required chart is shown below:

Step-by-step explanation:

Multiplication is also called repeated addition.

Using a multiplication chart or time table, a simple way to do the daily calculations is.

A multiplication graph is a table showing two-number products. One set of numbers is typically written in the left column and another set is written in the top row. The goods are represented as numbers in a rectangular array.

The required chart is shown below:

It will take the turkey 2 hours to cook

Answer:

if a 12 pound turkey takes 4 hours a 14 pound turkey would take around 6 hours

Step-by-step explanation:

Answer:

c = 4/3

Step-by-step explanation:

3(c + 8) = 28

Since we have paranthesis, first use the dsitributive property [multiply 3 by c and 8]

3(c + 8) = 28

3c + 24 = 28

To find the value of c, you must have c alone on one side, so subtract 24 from both sides

3c + 24 = 28

3c = 4

Now, divide by 3 to both sides to get your answer

3c = 4

c = 4/3

Therefore, the answer is 4/3!

I hope this helps! :)

3 (c + 8) = 28

3 x c = 3c

3 x 8 = 24

3c + 24 = 28

3c + 24 - 24 = 28 - 24

3c = 4

3c/3 = 4/3

C = 4/3

Answer:

Option D is correct.

Step-by-step explanation:

EMI formula is :

[tex]\frac{p*r*(1+r)^{n} }{(1+r)^{n}-1 }[/tex]

Calculation for convertible car:

p = $28700

r = 6/12/100=0.005

n = [tex]6\times12=72[/tex] months

Putting the values in formula we get

[tex]\frac{28700*0.005(1.005)^{72} }{(1.005)^{72}-1 }[/tex]

= $475.67

Calculation for sports car:

p = 29200

r = 6/12/100=0.005

n = [tex]6\times12=72[/tex] months

Putting the values in formula we get

[tex]\frac{29200*0.005(1.005)^{72} }{(1.005)^{72}-1 }[/tex]

= $483.96

We can see that in both cases the EMI is below $490.

As Chuck can afford a $490-per-month car payment. So, he can afford both cars. (one car out of both)

Therefore, option D is correct. Chuck can afford both the convertible and the sports car​.

The domain is x-values that work in the equation, and in this case, the domain is all real numbers, as any number you put in will give you a number back out.

Answer:

All real numbers

Step-by-step explanation:

The domain is every value you can put in for x, and since you are able to put in any real number, the domain is all real numbers.

Answer:

Step-by-step explanation:

This distribution is "unimodal" and "skewed right."

Answer:

Yoooo, I think we go to the same school! And the other person is correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points N(1, -4) and M(-1, 4). Substitute:

[tex]m=\dfrac{4-(-4)}{-1-1}=\dfrac{8}{-2}=-4[/tex]

For this case we have that the equation of the border line of the region is given by:

[tex]y = -2x-3[/tex]

To know the sign of inequality, we must evaluate a point that belongs to the region and verify if it is fulfilled.

As the border line is dotted, we discard options A and C.

Then, we evaluate the point (-2, -4)

Option B: [tex]y <-2x-3[/tex]

[tex]-4 <-2 (-2) -3\\-4 <4-3\\-3 <1[/tex]

Is fulfilled!

Thus, the region is given by the inequality of option B.

Answer:

Option B

Answer: 1: 3mm

Answer:2: A rectangle with 4 congruent sides is a square.

A = s^2

s^2 = A

s^2 = 36 mm^2

s = sqrt(36 mm^2)

s = 6 mm

Step-by-step explanation:

Part A. The length of the rectangle is 3 m.

Part B. The length of the single side of the rectangle or square is 6 mm.

The area of a rectangle is defined as the total surface area obtained by multiplying its length and width.

Part A

Given that the area of a rectangle is 60 square meters and the width of the rectangle is 20 m. The length of the rectangle will be given below.

[tex]a = l\times w[/tex]

Where a is the area of the rectangle, l is the length and w is the width of the rectangle.

[tex]60 = l\times 20[/tex]

[tex]l = \dfrac {60}{20}[/tex]

[tex]l = 3\;\rm m[/tex]

Thus the length of the rectangle is 3 m.

Part B.

A rectangle has equal sides and area of 36 square mm. Thus the rectangle will be a sqaure. The area of the square is the product of 2 sides.

[tex]a = s^2[/tex]

Where a is the area of the square and s is the side of the square.

[tex]36 = s^2[/tex]

[tex]s = \sqrt{36}[/tex]

[tex]s = 6 \;\rm mm[/tex]

Hence the length of the single side of the rectangle or square is 6 mm.

To know more about the area of a rectangle, follow the link given below.

https://brainly.com/question/14383947.

Answer:

the answer is D:  the median of both the dot plot A and B is the same

Step-by-step explanation:

median is the middle value; after arranging the data in ascending or descending order...the mean of the two values is an even # of values

The median of dot plot A and median of dot plot B is 5; so therefore, the pots A and B are the same.

Answer:

the median of both thedot plots A and B is the same.

Step-by-step explanation:

The median is the middle value after arranging the data in an ascending or descending order, or the mean of the two middle values if there is an even number of values.

The median of dot plot A and the median of dot plot B is 5.

Therefore, the median of both thedot plots A and B is the same.