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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

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:

[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

Step-by-step explanation:

(x-4) x (x-10)

Answer:

B

Step-by-step explanation:

Given

x² - 14x + 40

Consider the factors of the constant term (+ 40) which sum to give the coefficient of the x- term (- 14)

The factors are - 10 and - 4, since

- 10 × - 4 = + 40 and - 10 - 4 = - 14, thus

x² - 14x + 40 = (x - 10)(x - 4) → B

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:

u = 5/4

Step-by-step explanation:

to evaluate for the value of u we would simply open the bracket and then evaluate for the value of u by collecting the like terms together.

solution

3=7(4 - 2u)-6u

3 = 28- 14u - 6u

collect the like terms

3 + 14u + 6u = 28

20u = 28 - 3

20u = 25

divide both sides by the coefficient of u which is 20

20u/20 = 25/20

u = 5/4

Answer:

[tex]u = 5/4[/tex]

Step-by-step explanation:

Step 1:  Distribute on the right side

[tex]3 = 7(4 - 2u) - 6u[/tex]

[tex]3 = (7 * 4) + (7 * -2u) - 6u[/tex]

[tex]3 = 28 - 14u - 6u[/tex]

Step 2:  Combine like terms

[tex]3 = 28 + (-14u - 6u)[/tex]

[tex]3 = 28 + -20u[/tex]

Step 3:  Subtract 28 from both sides

[tex]3 - 28 = 28 - 20u - 28[/tex]

[tex]-25 = -20u[/tex]

Step 4:  Divide both sides by -20

[tex]-25 / -20 = -20u / -20[/tex]

[tex]5/4 = u[/tex]

Answer:  [tex]u = 5/4[/tex]

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:

-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:

(5B+C-2A)/8 = x

Step-by-step explanation:

2A - 5B + 4X = C - 8X

subtract 4x from both sides

2A - 5B + 4X-4x = C - 8X-4x

2A - 5B = C - 12X

subtract C from both sides

2A - 5B -C = C-C - 8X

2A - 5B -C = - 8X

divide both sides by -8

(2A - 5B -C)/-8 = - 8X/-8

(-2A+5B+C)/8 = x

(5B+C-2A)/8 = x

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:

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:

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

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:

dont drink water .

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

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

To learn more about triangles click :

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Answer:

B and C

Step-by-step explanation:

i did on ed

Answer:

B and C

Step-by-step explanation:

[tex]m(x)=-4x+11x^2+6x+14\\m(x)=11x^2+2x+14[/tex]

Equating the equation to 0 and solving it

[tex]11x^2+2x+14=0\\D=2^2-4*11*14=-612<0[/tex]

This equation has no solution, so we can't find rational zeros

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P.S. Hello from Russia

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:

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

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

Answer:

Look and see    >:/

Step-by-step explanation:

1) 13, 34              Rate of change: 3

2) 15, 1              Rate of change: -2

3) 17, 32              Rate of change: 0.75

4) 9, -1               Rate of change: -0.4

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:

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:

C. square root 189 in.

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: 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: 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:

25+6

Step-by-step explanation:

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