Factor −3 out of −27a−12.

Answer:

The tower is 48 ft tall.

Step-by-step explanation:

Refer to the figure attached.

Triangle ACD is similar to triangle BCE.

This means the proportion to some sides is the same, for example:

[tex]\displaystyle \frac{CE}{CD}=\frac{BE}{H}[/tex]

Substituting the values:

[tex]\displaystyle \frac{8}{64}=\frac{6}{H}[/tex]

Multiplying by 64H:

[tex]8H=64*6[/tex]

Dividing by 8:

[tex]H=64*6/8=48[/tex]

The tower is 48 ft tall.

Answer:

144.

The reason is because 1 ft = 12 in, (1 ft)2 = (12 in)2 = 144 in2.

Answer:

2c+13

Step-by-step explanation:

i hope i helped:)

Answer:

The GCF of the terms of the polynomial 52x^8 + 12x^3 is 4x^3.

Step-by-step explanation:

Answer:

One possible solution is Jace spends 5 hours lifeguarding and 8 hours washing cars

Step-by-step explanation:

The parameters of the two summer jobs Jace is working are;

The amount Jace makes for Lifeguarding  = $18 per hour

The amount Jace makes for washing cars = $10 per hour

The number of hours he can work a week ≤ 13 hours

The amount he must earn in a ≥ $170

Whereby we have;

x = The number of hours Jace spends lifeguarding

y = The number of hours Jace spends washing cars

The system of inequalities are;

x × 18 + y × 10 ≥ 170

x + y ≤ 13

Making y the subject of the formula of both inequalities gives;

For the first inequality, we have;

x × 18 + y × 10 ≥ 170

10·y ≥ 170 - 18·x

y ≥ 170/10 - 18/10·x

y ≥ 17 - 1.8·x

For the second inequality, we have;

x + y ≤ 13

y ≤ 13 - x

Graphing both inequalities is drawn using Microsoft Excel

Equating both inequalities, given in relation to the y-values, the point where the two lines representing both inequalities meet is given as follows;

17 - 1.8·x = 13 - x

17 - 13 = 1.8·x - x

4 = 0.8·x

x = 4/0.8 = 5

y ≤ 13 - x gives;

y ≤ 13 - 5

y ≤ 8

Given that both relationships are either ≤ or ≥, we have the point where both inequalities meet is one possible solution

Therefore;

One possible solution is x = 5 hours, y = 8 hours

The number of hours Jace spends lifeguarding = x = 5 hours

The number of hours Jace spends washing cars = y = 8 hours.

Answer:

Step-by-step explanation:

Step one:

given data

we are told that the cost of the guitar is $2000

and that 12% of the cost must be paid for Jesse to take the guitar home.

Hence we aim to know what 12% of $2000 is

Step two:

The expression is

=12/100*2000

=0.12*2000

=240

This means that Jesse must pay $240 before he can take the guitar home

Answer:

x=7

Step-by-step explanation:

28/4=7 or 4*7=28. you just multiply or divide to find your answer

Answer:

C = 200p + 400

Step-by-step explanation:

Because C is the cost of a given day, 400 acts as a y-intercept.

400 is the initial fee paid then 200 per each phone manifactured, meaning that 200 is the slope.

Answer:

x = 12

Step-by-step explanation:

the two equations shown should add up to 180. so I did this equation: (10x-20)+ (6x+8) = 180 and I solved for x

Answer:

(-9/2,-4)

Step-by-step explanation:

I hope this helps.

Answer:

0.947

Step-by-step explanation:

We are told that the true probability of a baby being a girl is 0.479.

This means that probability of a baby being a boy is;

p = 1 - 0.479

p = 0.521

Now,using binomial probability distribution formula we can solve this problem.

P(X=x) = C(n, x) × p^(x) × (1 - p)^(n - x)

We are told that a mound the next four randomly selected births in the country, what is the probability that at least one of them is a boy.

This is;

P(X ≥ 1) = P(1) + P(2) + P(3) + P(4)

P(1) = C(4, 1) × 0.521^(1) × (1 - 0.521)^(4 - 1)

P(1) = 0.229

P(2) = C(4, 2) × 0.521^(2) × (1 - 0.521)^(4 - 2)

P(2) = 0.3737

P(3) = C(4, 3) × 0.521^(3) × (1 - 0.521)^(4 - 3)

P(3) = 0.27096

P(4) = C(4, 4) × 0.521^(4) × (1 - 0.521)^(4 - 4)

P(4) = 0.0737

Thus;

P(X ≥ 1) = 0.229 + 0.3737 + 0.27096 + 0.0737

P(X ≥ 1) = 0.94736

P(X ≥ 1) ≈ 0.947

Answer:

Step-by-step explanation:

Step one:

given data

expected amount =$200

cash already at hand=$80

savings per week=$40

let the number of weeks be x

Step two:

the linear function for the situation is the same as the equation of a straight line

y=mx+c------1

200=4x+80

solve for x

200-80=40x

120=40x

divide both sides  by 4

x=120/40

x= 3 weeks

Chandler will save for 3 weeks

Answer:

A. 127º

Step-by-step explanation:

So we already know that the inside of a triangle is equal to 180º. We already have two of the angles so we can start by adding those together.

75 + 52 = 127

180 - 127 = 53

m∠A = 53º

Now, we also know that a straight line is equal to 180º so all we have to do now is subtract 53 from 180 to get the measure of ∠BAD

180 - 53 = 127

Answer:

The answer is 135 in 3.

Step-by-step explanation:

To find the volume of a square pyramid, first you need to find the base and height. In this case,

a = 9

h = 5

Now we use the formula (1/3 a^2 h) To find the volume.

I will use )( To show numbers being multiplied, example: 3)(4 = 12

=1/3)(9 cm^2)(5 cm

=1/3)(81 cm)( 5 cm

= 135 in. 3

Answer:

6%

Step-by-step explanation:

This is an honest guess just because you are not given the content of 2 out of the 3 bags. When starting at 100 percent of the makeup of the porridge you can then divide that by 3 to get the content of 1 bag. You will get around 33 then you find what 20% of 33 is which is closest to either 6 percent.

Answer: Static electricity is uncontrolled electrons passing from one body to another in sudden, momentary movements, while current electricity is when the electrons are controlled by moving along a path together.

HAVE A BLESSED DAY!!!!

Answer:

D

Step-by-step explanation:

Answers For Entire Assignment!!

Page 1 D, A, C

Page 2 C

Page 3 B, A

Page 4 C, D, F

Page 5 Identify the factor x + 3 from the given root –3.

Use synthetic division to divide the polynomial by x + 3.

Use the bottom row of the synthetic division as coefficients in the quadratic 2x2 + 3x – 2.

Factor the quotient to find the two other factors: x + 2 and 2x – 1.

Page 6 B, C, E

Page 7 B, 1.3

Page 8 The student used k = –5 instead of k = 5. And the student did not use a placeholder zero for the x2 term. Also, x – 5 is a factor because there is no remainder when the division is performed correctly.

Trust The Milk. Get that hundo.

Answer:

2.59

Step-by-step explanation:

Answer:

CB=18

And the measure of angle BDA is 21 degrees

Step-by-step explanation:

Answer: ∠BDA = 21; CB = 30

have:

sin ∠BDC = [tex]\frac{4x+6}{BD}[/tex]

sin ∠ADB = [tex]\frac{7x-12}{BD}[/tex]

because ∠BDC = ∠ADB => sin ∠BDC = sin ∠ADB

=> [tex]\frac{4x+6}{BD}=\frac{7x-12}{BD}[/tex]

=> 4x + 6 = 7x -12

<=> 3x = 18

<=> x = 6 => CB = 4.6 + 6 = 30

Step-by-step explanation:

Answer:

Step-by-step explanation:

The vertex form of  the equation of the parabola with vertex (h, k)  is:

f(x) = a(x - h)² + k

So for vertex (3, 6) it will be:

f(x) = a(x - 3)² + 6

y intercept: 2 means  f(0) = 2

f(0) = a(0 - 3)² + 6

2 = a(-3)² + 6

2 -6 = 9a + 6 -6

-4 = 9a

a = ⁻⁴/₉

Therefore:

The vertex form of quardatic function with vertex: (3,6) and y intercept: 2 is

                             f(x) = - ⁴/₉(x - 3)² + 6

The vertex form of the parabola equation is f(x) = -4/9(x - 3)² + 6 if the vertex: (3,6) and y intercept: 2

It is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

It is given that:

The vertex: (3,6) and y-intercept: 2

As we know,

The parabola equation:

f(x) = a(x - h)² + k

Here (h, k) is the vertex of the parabola and a is the leading coefficient.

f(x) = a(x - 3)² + 6

f(x) =  2 at x = 0

2 = a(0 - 3)² + 6

a = -4/9

f(x) = -4/9(x - 3)² + 6

Thus, the vertex form of the parabola equation is f(x) = -4/9(x - 3)² + 6 if the vertex: (3,6) and y intercept: 2

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ2

Answer:

Hello!

Step-by-step explanation:

How do we solve for j when there is no equation with j in it to solve for j. Hope we can help you with this when we get a equation!

Answer:

2n

Step-by-step explanation:

Pythagoras [tex]a^{2} + b^{2} = c^{2}[/tex]

2 squared plus 2 squared = 8 but you need to find out the root of 8,

square root of 8 is a surd, so answer in that

Answer:

4n

Step-by-step explanation:

a^2+b^2=c^2

2n^2+2n^2=c^2

4n^2=c^2

sqrt 4n^2=sqrt c^2

4n=c

Answer:

8 is the largest row possible

Step-by-step explanation:

What this question is simply asking is to find the greatest common factor of 216 and 160

The greatest common factor of 216 and 160 is 8

So what this mean is that the largest row possible is 8

Answer:

y = [tex]\frac{1}{2}[/tex] x - 5

Step-by-step explanation:

Given f(0) = - 5 and f(4) = - 3 , then we have the coordinate points

(0, - 5) and (4, - 3)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 5) and (x₂, y₂ ) = (4, - 3)

m = [tex]\frac{-3+5}{4-0}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]

The line crosses the y- axis at (0, - 5) ⇒ c = - 5

y = f(x) = [tex]\frac{1}{2}[/tex] x - 5 ← equation of line