The dimensions of a right rectangular prism are shown below.





How many cubes with side lengths of 1 over 6 inch are needed to fill the prism without gaps or overlaps?

Answer:

d.) x2+16x+64=36

Step-by-step explanation:

To find - Alicia is solving a quadratic equation. She wants to find the value of x by taking the square root of both sides of the equation. Which equation allows her to do this?

a.) x2+81x+18=54

b.) x2−8x+24=17

c.) x2+9x−24=25

d.) x2+16x+64=36

Proof -

The correct answer is - d.) x2+16x+64=36

x2+16x+64=36

⇒x² + 8x + 8x + 64 = 36

⇒x(x + 8) + 8(x + 8) = 36

⇒(x+8)(x+8) = 36

⇒(x+8)² = 36

Take square root both sides, we get

√(x+8)² = √36

⇒x + 8 = ± 6

⇒x + 8 = 6, x + 8 = -6

⇒x = 6 - 8 , x = -6 - 8

⇒x = -2, -14

So,

Equation (4) allows her to do the following thing she ants.

Answer:

The answer is C

Step-by-step explanation:

Cause the visitors to the Act got more data

Answer:

C. Graph Z is the correct answer

Step-by-step explanation:

It touches 0,3 and the right line is going towards infinite positive x’s

#plato

The exponent function of the graph will be W.  Then the correct option is D.

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ + c

Where c is the intercept.

Let the leading coefficient will be 1.

Then the equation will be

y = (b)ˣ + c

The exponent function has a y-intercept at (0, 3).

Then the exponent function is given as,

y = (b)ˣ + 2

Some points regarding exponent function.

The exponent function of the graph will be W.

Then the correct option is D.

More about the exponent link is given below.

https://brainly.com/question/5497425

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Answer:

$276  

Step-by-step explanation:

Given that

Last week Lola made 32kg of different kind of bun

The quarter of the bun sold at $9 per kilo

And, the rest would be sold at $8.5 per kilo

We need to find out the amount that should be collected in total from the sale

A quarter of the 32 buns is 8 buns

And, the half of 32 is 16, and half of 16 is 8.

Now If he sold those 8 buns for $9

So, the total amount is

= (8 buns) ($9)

= $72

Now the remaining buns left is

= 32 - 8

= 24 buns

It would be sold at $8.50

So, the total amount is

= (24) ($8.50)

= $204

Now the final amount is

= $204 + $72

= $276  

Answer:

5.375 quarts

1.625

Step-by-step explanation:

determine amount of quarts of latex per square feet = 5/200 = 0.025

quart for 215 = 0.025 x 215 = 5.375 quarts

quart for 65 = 65 x 0.025= 1.625

Answer:

5

Step-by-step explanation:

thanks for the points

The percentage change or increase of dessert sales has changed by 25%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, In the month of January, you were able to sell 1,200 desserts and

In February, your dessert sales increased to 1,500.

So, The net amount increase is (1500 - 1200) = 300.

Now to obtain percentage change we'll divide the net amount change by the original amount and multiply it by 100% which is,

= (300/1200)×100%.

= (300/12)%.

= 25%.

learn more about percentages here :

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Answer:

Population after 6 hours is 2.44 *10^12

Step-by-step explanation:

The geometric population growth formula is

[tex]P = P_0 * e^{kt}[/tex]

Substituting the given values in above equation we get

[tex]P = 15 *10^6 * e^{2 * 6}\\P = 15 *10^6 * 162754.791\\P = 2.44 *10^{12}[/tex]

Population after 6 hours is 2.44 *10^12

Answer:

y=-4x-4

Step-by-step explanation:

rise/run+ y-intercept

Answer:

Step-by-step explanation:

I think it should be 20 because the line is similar to the 18 line so you can round up to 20.

Answer:

6•8=48

48/2=24 ft

Step-by-step explanation:

The right triangle is half of the rectangle

Answer:

,,,,,,,,,,,,,,,,,,,,,,,

Answer:

(x + 2, y - 6)

Step-by-step explanation:

When you go right or up it is in the positive.

When you go left or down it is in the negatives.

Answer:

[see below]

Step-by-step explanation:

Two units to the right is adding 2 together to the x value.

6 units down is subtracting 6 from the y-value.

The rule should be:

[tex](x,y)\rightarrow(x+2,y-6)[/tex]

Hope this helps.

Answer:

Suppose we add up alternate Fibonacci numbers, Fn-1 + Fn+1; that is, what do ... L(1)=1 and L(3)= 4 so their sum is 5 whereas F(2)=1; L(2)=3 and L(4)= 7 so their ... What is the relationship between F(n-2), and F(n+2)? You should be able to find a ... Fib(N); K (an EVEN number!), Lucas(K) and Fib(K) in each expression like ...

Step-by-step explanation:

Answer:

(-1/2, 3)

Explaination:

Multiply the second equation by 2, then add the equations together.

(4x-y=-5)

2(-2x+3y=10)

Becomes:

4x-y=-5

-4x+6y=20

Then add the equations to eliminate x.

5y=15

then solve 5y-15 for y. (Divide both sides by 5)

5y/5 = 15/5

y= 3

Okay, now we have found y where going to plug it in an equation to solve for x

Going to chosse equation : 4x-y=-5

Subsitue 3 for y in 4x - y = - 5

4x - 3 = -5

( Add 3 to both sides)

4x - 3 + 3 = - 5 + 3

4x = -2

(Divide both sides by 4 )

4x/4 = -2/4

x= -1/2

Answer:

a) length of sides remain unchanged

Step-by-step explanation:

Answer:

$0.18

Step-by-step explanation:

setup proportion and solve for x:

[tex]\frac{12}{2.15} =\frac{1}{x} \\12x = 2.15\\x=0.17916 = 0.18[/tex]

Answer:

35 sq units

Step-by-step explanation:

Answer:

That fourth ordered pair is (4, -1)

Step-by-step explanation:

A rectangle is a set of permutations of x and y

x can either be -1, or 4

y can either be -1, or 1

the only one missing from this set is (4, -1)

Answer:

17

Step-by-step explanation:

The image is not too clear. Let us assume we need the base AB

AB  = opposite

BC = hypotenuse

Sin theta = opp/hyp

Sin 37 = AB/BC

Sin 37 = AB/28

AB = 28sin37

AB = 28(0.6018)

AB = 16.85

AB ≈ 17

Hence the length of AB is 17

The question is incomplete and the value or fraction of the amount of fraction of pizza eaten for dinner isnt Given. Assume the fraction of pizza eaten for dinner = p

Answer:

Kindly check explanation

Step-by-step explanation:

To solve the problem above;

Amount of pizza eaten for dinner = (fraction eaten * total size of pizza)

Amount of pizza eaten for dinner = 16 * p = 16p

Amount of pizza crust left :

(Total size of pizza crust - Amount of pizza eaten for dinner)

Amount of pizza crust left = 16 - 16p

Note that this is just an hypothetical solution because the value represented as p was omitted in the question.

Simply substitute p in the solution with it's exact value to obtain the exact amount of pizza crust left.

Answer:

k= - 10

Step-by-step explanation:

43 = - 8 +3(27+k)

3(27+k) = 51

27 + k = 17

k = - 10

Step-by-step explanation:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{1 - 3}{6 - 2} \\ = \frac{ - 2}{4} \\ = - \frac{1}{2} [/tex]

Even if x₁ = 6, y₁ = 1 and x₂ = 2, y₂ = 3 the result remains same.

Step-by-step explanation:

a^2 - 2(b + 12)

(-9)^2 - 2(-4 + 12)

81 - 2 (-4 + 12)

79 (-4 + 12)

79 × -4 + 79 × 12

-316 + 948

632

Step-by-step explanation:

the right answer would be B

Answer:

C

Step-by-step explanation:

The point (-4 , 1) will be located

From figure , Point C

Answer:

A. Because

Step-by-step explanation:

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

Answer:

The y intercept is -1

Step-by-step explanation:

the y-intercept is when y = 0

f(0) = -2^2 + 4(0) - 5

f(0) = 4 - 5

f(0) = -1