A table of values of a linear function is shown below.

Find the slope and y-intercept of the function's graph, and find the equation for the function.

The expression could represent the dog kennel is (x + 2)(x + 6)²

What expression could represent the dog kennel

From the question, we have the following parameters that can be used in our computation:

Volume = x³ + 14x² + 60x + 72

Height = x + 2

Dividing the Volume by the Height , we have

            x² + 12x+ 36

x + 2  |  x³ + 14x² + 60x + 72

            x³ + 2x²

--------------------------------------------------------

                       12x² + 60x + 72

                       12x² + 24x

--------------------------------------------------------

                       36x + 72

                       36x + 72

--------------------------------------------------------

                                  0

So, we have

x³ + 14x² + 60x + 72 = (x + 2)(x² + 12x+ 36)

Expand

x³ + 14x² + 60x + 72 = (x + 2)(x + 6)²

Hence, the expression could represent the dog kennel is (x + 2)(x + 6)²

Answer:

The correct answer is infinitely many

Step-by-step explanation:

4x-10/2=2x-5

after that you will multiply the 2 times 2x and 2 times -5

so now it becomes

4x-10=4x-10 that's why it's infinitely many

Answer:

D) infinitely many solutions

Step-by-step explanation:

The equation yields a statement that is always true, −10 = −10.[

So, the equation has infinitely many solutions.

4x − 10 2 = 2x − 5 4x − 10 = 4x − 10 −10 = −10

The volume of a cylinder with a base diameter of 8ft and height of 20ft is approximately 1005.3 cubic feet.

The volume of a cylinder can be calculated using the formula Volume = πr²h where π represents approximately the number 3.14, 'r' signifies the radius of the cylinder, and 'h' denotes the height of the cylinder.

In this case, the diameter of the cylinder is given as 8 feet, so the radius will be half of that which is 4 feet. The height is specified as 20 feet.

Substitute these values into the equation:

Volume = π * (4 ft)² * 20 ft

This simplifies to:

Volume = 3.14 * 16ft² * 20ft

By multiplying these values, we get the volume equals the product of these numbers:

Volume ≈ 1005.3 cubic ft. Hence, the volume of this cylinder to the nearest tenths is 1005.3 cubic feet.

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The volume of a cylinder with an 8ft diameter and 20ft height is approximately 1005.3 cubic feet, rounded to the nearest tenths place.

To calculate the volume of a cylinder, we use the formula V = πr²h, where V represents the volume, r is the radius of the cylinder's base, and h is the height of the cylinder. Given that the diameter of the cylinder is 8ft, the radius is half of the diameter, which is 4ft. Now, using the formula:

V = πr²h

V = π(4ft)² × 20ft

V = π16ft² × 20ft

V = π 320ft³

V = 1005.31ft³

Therefore, the volume of the cylinder is approximately 1005.3 cubic feet, rounded to the nearest tenths place.

Answer:

a

Step-by-step explanation:

Answer:

= 5 × 1/2

Step-by-step explanation:

Five divided by 2

= 5 ÷ 2

= 5/2

Which is same as

= 5 × 1/2

I hope this was helpful, please rate as brainliest

Answer:

1 F

2 C

3 G

4 D

5 A

6 E

7 B

Step-by-step explanation:

p implies q (conditional)

Which is G

It's converse would be

q implies p

Which is G

F and G together become bi-conditional

Which is B

Contraposition is

not q implies not p

Inverse of p implies q is

not p implies not q

Which is D

Conjunction is p and q,

Which is F

Disjunction is p or q,

Which is C

Answer:

x=50 ∠BCX=65

Step-by-step explanation:

The angles is a triangle add up to 180 so

70+45+∠BCX=180 so

115+∠BCX=180 (subtract 115 from both sides)

∠BCX=65

A line adds up to 180

so 2x+15+65=180

so 2x+80=180 (subtract 80 from both sides)

2x=100 (divide by 2)

x=50

10^38

Step-by-step explanation:

Given that,

10^32 x 10^6

Here the base is same (10) and the powers are 32 and 6.

These 2 bases are in multiplication form so the powers can be added up.

10^32 x 10^6 = 10^(32+6)

= 10^38

A circle is a special form of an ellipse, occurring when both focal points of an ellipse coincide at one point, making its eccentricity zero.

A special form of the ellipse is called a circle. This occurs when the two focal points of an ellipse coincide at a single point, which is also the center of the circle. In mathematical terms, an ellipse whose equation is scaled down in one direction, transforming it into x² + y² = a², represents a circle with center at the origin and radius a.

Kepler's first law regarding planetary orbits also refers to this special case of an ellipse. It states that planets follow an elliptical path with the Sun at one of its focal points. When both focal points are at the same location, indicative of zero eccentricity, the orbit is not elliptical but circular.

The properties of an ellipse are crucial in understanding celestial mechanics and orbits, reflecting the significance of this special case in both mathematics and astronomy.

Answer:

16 dollars and 80 cents plz give branliest

Step-by-step explanation:

Find 10 percent

14 / 10 = 1.4

double it

1.4 * 2 = 2.8

Add 2.8 to 14

to get 16.8

Answer: The density is 0.002 lb/cm^3

Step-by-step explanation:

1 BTU is neded to increment the temperature of 1 Lb of water by 1° F

Then if we need 41.7 BTU to increment 1°F of 5 gallons of water, this means that in the 5 gallons we have a mass of 41.7 lbs of water.

And as you know, density = mass/volume

now, 1 gallon = 3.78 liters = 3780 cm^3

then 5 gallons = 5*3780 cm^3  = 18900 cm^3

The density is D = 41.7Lb/18900 cm^3 = 0.002 lb/cm^3

Answer:

11 in

Step-by-step explanation:

Starting with the base, we know the side length is 5 inches. So with that in mind, we can do 5 x 5 to get the area of the base, 25. We also know the volume of the whole rectangular prism is 275, so we can do 275 ÷ 25. The quotient of that is 11.

We can check our answer by doing 11 x 25. This gives us 275, proving that it is correct.

Hope this helped! :)

Answer: the answers is y=h(x) and y=k(x)

Step-by-step explanation: on edge

Answer: 0.6x = 87

Step-by-step explanation:

Hi, to answer this question we have to write en equation:

We have to multiply the variable x by the percentage given (60%) in decimal form (divided by 100). That expression must be equal to 87.

Mathematically speaking:

x (60/100) = 87

0.6x = 87

Feel free to ask for more if needed or if you did not understand something.

This equation states that 60% (or 0.60) of x is equal to 87.

To express the relationship between 60% of x and 87, we can set up an equation. Since 60% can be written as 0.60, we can write:

0.60x = 87

To solve for x, we divide both sides of the equation by 0.60:

x = 87 ÷ 0.60

So, x will be:

x = 145

This shows that 60% of 145 is equal to 87.

Answer:

-3

Step-by-step explanation:

[tex]2*10^{-3}[/tex], n= -3.

A fraction is a number which represents the part of a whole or collection of objects. It is in the from of a/b where a represents the numerator part and the b represents the denominator parts.

The width of a human hair is about 0.002 inches,

It can be written in fraction form as,

[tex]\frac{2}{1000}[/tex]⇒ [tex]\frac{2}{10^{3} }[/tex]

By writing [tex]10^{3}[/tex] in reciprocal from we get,

[tex]2*10^{-3}[/tex], then n= -3.

Hence, [tex]2*10^{-3}[/tex], n= -3.

Learn more about fractions here:

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Answer:

The third one is correct, the others bend the truth as they can touch but not overlap. As the third one states 'They are organized in equal intervals.'  this means they share an equal growth opportunity within their own column, their own height and nominated place within the histogram. The bars are of equal width and correspond to the equal class intervals. But on rare occasions like size classes they can be shown as a wider variant within their groups. Example would be showing a wider column say on classes at a school as the width and data being achieved forces a true event of variant sizes in education upon the base of the graph, this rarely applies to staff graphs as planning for schools is a wider data share than say offices using these types of graphs. Work development would use just data percentages along with the frequencies is one example so group size are stated in the reports to support more specific data in the graphs instead.

Step-by-step explanation:

To display numerical data that has been organized into equal intervals. The bars should touch the adjacent bars but not overlap. These intervals allow you to see the frequency distribution of the data, or how many pieces of data are in each interval.

Answer:

c

Step-by-step explanation:

Answer:

549.16

Step-by-step explanation:

83.08/pi=diameter (26.44)

26.44 / 2 = 13.22 (radius)

area=3.14*(13.22)^2

Answer:

The answer is 550

Step-by-step explanation:

83.08/pi=diameter (26.44)

26.44 / 2 = 13.22 (radius)

area=3.14*(13.22)^2

Answer:

[tex]36\pi -18\sqrt{7}[/tex]

Step-by-step explanation:

Every inscribed right triangle has its hypotenuse as the same size of the Diameter. Assuming that, this is the case check the picture below.

So the hypotenuse= D=2R=12

[tex]A_{circle}=\pi (6)^{2}=36\pi[/tex]

Finding the Triangle base via the Pythagorean Theorem

[tex]a^2=b^2+c^2\\12^2=9^2+c^2\\144-81=c^2\\c=\sqrt{63}\\c=3\sqrt{7}\approx 7.94[/tex]

Now plugging in the base of the triangle on that formula:

[tex]A=\frac{bh}{2}\\A=\frac{3\sqrt{7}*12}{2}\\A=18\sqrt{7}[/tex]

Finally,

Shaded Area = [tex]36\pi -18\sqrt{7} cm^{2} \approx 65.48 cm^{2}[/tex]

Answer:

B and C

Step-by-step explanation:

i did on ed

Answer:

B and C

Step-by-step explanation:

Answer: $352.48

Step-by-step explanation:

Hi, to answer this question we have to apply the formula:

A = P (1 + r)^t

Where  

A: total balance after invest

P: principal amount invested

r = interest rate (in decimal form)

t = time (years)

Replacing with the values given:

500= P (1+0.06)^6

Solving for P:

500 = P (1.06)^6

500 / ( (1.06)^6)=P

500 / 1.4185 =P

$352.48= P

Answer:

352.48

Step-by-step explanation:

Answer:

(8.2) (8.2) + 4 (one-half (8.2) (11.1))

Step-by-step explanation:

Formula for calculating the surface area of a square based pyramid is expressed as:

Surface area = A + 1/2ps

A is the base area

P is the perimeter of base

S is the slant side.

Since the base of the pyramid is a square, then

Base Area A = L²

A = 8.2²

A = 67.24cm²

Perimeter of square = 4L = 4(8.2)

= 32.8cm

Slant Height = 11.1cm

On substituting the gotten value:

Surface area = 8.2(8.2) + 1/2 [4(8.2 (11.1)]

Based on the solution above, the expression below is correct.

S =(8.2) (8.2) + 4 (one-half (8.2) (11.1))

Answer:

25+6

Step-by-step explanation:

Answer:The measure of angle C is 50°

Step-by-step explanation:

The sum of all inside angles must add up to 180°

80+50=130

130+C

C=50

130+50=180

Answer:

$3.84

Step-by-step explanation

move the decimal back two place - .28, it is a mark up so add a 1 at the beginning - 1.28 - multiply - 3 x 1.28 = 3.84

Answer:

s²/2

Step-by-step explanation:

Area of square = 2 triangles

Find the area of the square using s²

For area of the triangle, divide by 2

The area of Jens square and the area of the triangle is A = ( 1/2 )s²

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of sides of the triangle are

AB = AC = s

From the figure , we can see that

Now , area of the triangle = ( 1/2 ) x Length x Base

On simplifying , we get

A = ( 1/2 )s²

Hence , the area of the triangle is A = ( 1/2 )s²

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Answer:

6! = 720

Step-by-step explanation:

In evaluating factorial functions, generally

n! = n(n-1)(n-2)(n-3)...× 1

We can see that as we are moving, the value keep decreasing by 1 until it reaches the least value which is 1.

6! = 6(6-1)(6-2)(6-3(6-4)(6-5)

6! = 6×5×4×3×2×1

6! = 720

Final answer:

Each container will have approximately 3.75 kilograms of rice, which can be expressed as 3.75 kg or 15/4 kg.

Explanation:

To find out how many kilograms of rice are in each container, we need to divide the total weight of the rice by the number of containers. In this case, we have 15 kilograms of rice and 4 containers, so we divide 15 by 4. The result is 3.75 kilograms.

So, each container will have 3.75 kilograms of rice.

As a decimal, this can be expressed as 3.75 kg. As a fraction, it can be written as 15/4 kg.

Answer:

7.5

Step-by-step explanation:

R= d/2

Divide 15 by 2

Answer:

7.5

Step-by-step explanation:

So the formula is:

[tex]\frac{d}{2}[/tex]=r

So Divide 15 by 2. Which is 7.5

14 divided by 2 is 7, and the 1 left over would be a .5

Hope this helped!

Answer:

dont drink water .

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation: