Factor the common factor out of each expression 64p - 24

Answer: y = 4x + 5/4

Step-by-step explanation: Plug in the slope and y-intercept into the equation y = mx + b, where m is the slope and b is the y-intercept, and such that m, b ≠ 0.

The amount of the sale of the home is $2090181.82

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

Commission = 5.5% on the sale of a home

Also, we have

Commission  = 114960

using the above as a guide, we have the following:

5.5% on the sale of a home = 114960

So, we have

5.5% * sale of a home = 114960

Divide both sides by 5.5%

sale of a home = 114960/(5.5%)

Evaluate

sale of a home = 2090181.82

Hence, the sale of the home is $2090181.82

Read more about commission at

https://brainly.com/question/26283663

#SPJ1

Answer: min is 360,000 km and max is 405,000 km

Step-by-step explanation:

Answer:

a) The p value is a probability always between 0 and 1 and represent the evidence in favor of the alternative hypothesis if it's a low value then we have enough evidence to reject the null hypothesis otherwise we FAIl to reject the null hypothesis

b) For this case the result is important because the parameter established by the Public Healt is incorrect ,we obtain a significant result so then there is enough evidence to conclude that the true proportion of children that have been vaccinated against measles is lower than 91%

Step-by-step explanation:

For this case the system of hypothesis are:

Null hypothesis:\(p=0.91\)  

Alternative hypothesis:\(p < 0.91\)  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)  

For this case after conduct the hypothesis we have the following p value obtained:

\( p_v = 0.0001\)

Part a

The p value is a probability always between 0 and 1 and represent the evidence in favor of the alternative hypothesis if it's a low value then we have enough evidence to reject the null hypothesis otherwise we FAIl to reject the null hypothesis

Part b

For this case the result is important because the parameter established by the Public Healt is incorrect ,we obtain a significant result so then there is enough evidence to conclude that the true proportion of children that have been vaccinated against measles is lower than 91%

Answer:

B

Step-by-step explanation:

500 x 6 = 3000

154 x 6 = 924

Hope that helps!

Answer:

Here's the completed input-output table for the function f(x) = 3x²+2:

X f(X)

-2 14

-1 5

0 2

1 5

2 14

Step-by-step explanation:

Answer:

There are 10 students

Step-by-step explanation:

69.55-(5.35*3)= 53.5

53.5/10=5.35 which is what each ticket costed

So the answer is 10 students

The volume of the cone is 36π * 2√(34).

The formula for the lateral surface area of a right circular cone is:

A = π * r * l

where A is the lateral surface area, π is the constant pi, r is the radius of the base, and l is the slant height of the cone.

Given that the lateral surface area of the cone is 12√(34) * π, we can write:

\(12\sqrt{(34)} * \Pi = \Pi * r * l\)

Dividing both sides by π and r, we can find the slant height:

l = 12√(34) / r

= 12√(34) / 6

= 2√(34) units

The volume of a right circular cone can be found using the formula:

V = (1/3) * π * r^2 * h

where V is the volume,

π is the constant pi,

r is the radius of the base, and

h is the height of the cone.

Since the cone is a right circular cone, the slant height is also the height of the cone,

So we can substitute l for h:

V = (1/3) * π * r^2 * l

= (1/3) * π * 6^2 * 2√(34)

= 36π * 2√(34)

For more questions on Volume of cone

https://brainly.com/question/12004994

#SPJ4

Answer: 9 x 7

Step-by-step explanation: 9 x 7 = 63

Hope this helps!

Step-by-step explanation:

hmmm, what is meant by "3 times larger" ?

the area of the rectangle is 3 times larger ? that would be the normal understanding.

or the side lengths are 3 times larger ? which would make the area 9 (3×3) times larger.

for the first possibility :

area of B is 4 cm × 6 cm = 24 cm²

A is 3 times larger would mean

area of A = 3×24 = 72 cm²

for the second possibility :

A is 3 times larger would mean it side lengths would be

3×4 = 12 cm

and

3×6 = 18 cm

area of A = 12×18 = 216 cm²

or short

area of A is 9 times area of B = 9×24 = 216 cm²

as both (72 and 216) are in the list of answer possibilities, I would say that the extra info (that both rectangular are similar) indicates that the question was aiming for the second possibility.

so, A, 216 cm² is then the right answer.

According to the question an example of C = 3 and D = 2 supports the answer that Equation A gives a bigger value than Equation B.

Two equations are considered to be comparable when their roots and solutions line up. To create an equivalent equation, the identical quantity, symbol, or expression has to be added to or removed from both of the equation's two sides. We can also create a similar equation by dividing or multiplying each component of an equation with a nonzero value.

given,

To determine which equation would give a bigger value, we can compare the expressions obtained by expanding Equation A and simplifying Equation B.

Expanding Equation A, we get:

A = (C + D) x (C + D) = C² + 2CD + D²

Simplifying Equation B, we get:

B = 2 x (C + D) = 2C + 2D

To compare the values of A and B, let's choose some values for C and D that are greater than zero. Let's choose C = 3 and D = 2.

Plugging these values into Equation A, we get:

A = 3² + 2(3)(2) + 2² = 9 + 12 + 4 = 25

Plugging these values into Equation B, we get:

B = 2(3 + 2) = 2(5) = 10

Since A is greater than B for the values of C = 3 and D = 2, we can conclude that Equation A gives a bigger value than Equation B for positive values of C and D.

Therefore, an example of C = 3 and D = 2 supports the answer that Equation A gives a bigger value than Equation B.

To know more about equation visit:

brainly.com/question/2972832  

#SPJ1

To find the number of roots, we have to look at the higher exponent of the variable terms:

x^6, the degree of the polynomial.

The function has 6 roots.

Answer:

the answer is 63 degrees

Step-by-step explanation:

The area of the composite figure is equal to 75.5 square meters

The composite figure can be observed to be made up of a big rectangle, a smaller rectangle, a triangle and a smaller triangle. We calculate for the area of the four shapes and sum the results to get the total area of the composite figure as follows:

area of the big rectangle = 6 m × 4 m = 24 m²

area of the smaller rectangle = 7 m × 2 m = 14 m²

area of the big triangle = 1/2 × 10 m × 6 m = 30 m²

area of the smaller triangle = 1/2 × 5 m × 3 m = 7.5 m²

total area of the composite figure = 24 m² + 14 m² + 30 m² + 7.5 m²

total area of the composite figure = 75.5 m²

Therefore, the area of the composite figure is equal to 75.5 square meters

Read more about area here:https://brainly.com/question/21135654

#SPJ1

Answer: The volume is 324

Step-by-step explanation: Hope this helps Camilia

Answer:

2

it is very clear and understandable

The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.

To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:

r = √(x² + y²)

θ = tan^⁻1(y/x)

Plugging in the given values of (-√2,1), we get:

r = √((-√2)² + 1²) = √(2 + 1) = √3

θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians

Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:

θ ≈ 2.0344 + π ≈ 5.1779 radians

Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).

For such more questions on coordinate

https://brainly.com/question/29660530

#SPJ8

Answer:

3.20$ for a sandwich

Step-by-step explanation:

The percentage of our new facility's seating is full will be 76%.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Initial value - Final value] / Initial value x 100

Our new training room can seat 150 employees.

If 6 tables consisting of 6 chairs are now taken.

Then the number of occupied seats by tables will be

⇒ 6 x 6

⇒ 36

Then the percentage of our new facility's seating is full will be

P = [(150 - 36) / 150]  x 100

P = (114/150) x 100

P = 0.76 x 100

P = 76%

The percentage of our new facility's seating is full will be 76%.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

\(\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}\)

Given two equations are :

We may write them as ,

Multiplying equⁿ (i) by 2 :

⇒ 2(2x + y - 6 ) = 0.

⇒ 4x + 2y - 12 = 0 .....................(iii) .

Subtract equⁿ (ii) from equⁿ (iii) :-

⇒ 4x + 2y - 12 = 0

ㅤ- 4x + 3y - 8 = 0 [ Sign changes ]

__________________

⇒ 5y - 20 = 0.ㅤㅤㅤㅤㅤ

⇒ 5y = 20.

⇒ y = 20/5.

⇒ y = 4

Put this value in (i) to obtain x .

⇒ 2x + y - 6 = 0.

⇒ 2x +4 - 6 = 0.

⇒ 2x - 2 = 0.

⇒2x = 2 .

⇒ x = 2/2.

⇒ x = 1 .

Hence the value of x is 1 & y is 4.

\(\boxed{\purple{\bf\pink{\dag}\:Hence\:the\: correct\: option\:is\:[b]\:(1,4)}}\)

Answer:

10

Step-by-step explanation:

sadasdasdasd

The Nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.

To determine the time the flag is in the air before Zack catches it, we can use the kinematic equation for vertical motion:

h = 16t^2 + vt + s

Where:

h is the height of the flag,

t is the time in seconds,

v is the initial vertical velocity of the flag,

s is the initial height of the flag.

In this case, the flag is thrown into the air from a height of 5 feet (s = 5) with an initial vertical velocity of 30 feet per second (v = 30). Zack catches it at a height of 7 feet (h = 7).

We can rewrite the equation as:

7 = 16t^2 + 30t + 5

To find the time (t) when the flag is at a height of 7 feet, we can rearrange the equation and solve for t. However, since this is a quadratic equation, we can also use the quadratic formula.

The quadratic equation in this case is:

16t^2 + 30t + 5 - 7 = 0

16t^2 + 30t - 2 = 0

Now, we can use the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Applying the values from the quadratic equation, we have:

t = (-30 ± √(30^2 - 4 * 16 * (-2))) / (2 * 16)

Simplifying further:

t = (-30 ± √(900 + 128)) / 32

t = (-30 ± √1028) / 32

Using a calculator, we find two solutions:

t ≈ -1.08 seconds or t ≈ 0.06 seconds

Since time cannot be negative in this context, we discard the negative solution.

Therefore, to the nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.

To know more about Nearest .

https://brainly.com/question/31217836

#SPJ8

Answer:

ok

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

The actual mean is 27.008333333333, round that as you will.

Answer:

27 is the answer

Step-by-step explanation:

Took the test and got it right

Answer:

32a5b532a5b5

that the simplify answer

The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

Learn more on probability:https://brainly.com/question/24756209

#SPJ1

Answer:

Thank  you sir

Step-by-step explanation:

ellipse with dashed line boundary

(1,-2)

(-2,0)

The conversion of the equation of the conic section from general form to standard form will be (x – 1)²/4 + (y + 2)²/9 > 1. This is the equation of an ellipse.

The shape which is derived from the cone is known as a conic section.

Some steps are shown in converting the following conic inequality from general form to standard form.

Complete the conversion and identify the shape, key feature, and which ordered pair is part of the solution set.

The equation is given below.

    9x² – 18x + 4y² + 16y – 11 > 0

           9x² – 18x + 4y² + 16y > 11

          9(x² – 2x) + 4(y² + 4y) > 11

9(x² – 2x + 1) + 4(y² + 4y + 4) > 11 + 9 + 16

               9(x – 1)² + 4(y + 2)² > 36

             (x – 1)²/4 + (y + 2)²/9 > 1

This is the equation of an ellipse.

More about the conic section link is given below.

https://brainly.com/question/10311514

#SPJ2

12x = (10)(11)

12x=110

x=110÷12

x=55/6