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:

$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:

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

Answer:

6•8=48

48/2=24 ft

Step-by-step explanation:

The right triangle is half of the rectangle

Answer:

A. Because

Step-by-step explanation:

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

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:

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:

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

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:

a) length of sides remain unchanged

Step-by-step explanation:

Answer:

k= - 10

Step-by-step explanation:

43 = - 8 +3(27+k)

3(27+k) = 51

27 + k = 17

k = - 10

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 :

https://brainly.com/question/24159063

#SPJ5

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:

(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.

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.

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:

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

Answer:

y=-4x-4

Step-by-step explanation:

rise/run+ y-intercept

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

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:

5

Step-by-step explanation:

thanks for the points

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:

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

#SPJ5

Answer:

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

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]