The endpoints of AB are A(3,-4) and B(7,2).
Determine and state the length of AB.

-4<x>/=5

Answer:

20%

Step-by-step explanation:

to find out we make it a fraction:

14/70

then divide

14÷70=0.2

then times it by 100

= 20%

Answer:

20%

Step-by-step explanation:

\(\frac{14}{70}\) = \(\frac{x}{100}\)

14 x 100 = 1400

1400/ 70 = 20%

The area covered by the face of the building which has the shape of a parallelogram would be = 2,464m².

The parallelogram is defined as a type of quadrilateral that has two sides that are parallel which are opposite each other.

To calculate the area of one face of the building, the formula that needs to be used is the formula for the area of a parallelogram.

That is;

Area of parallelogram = base × height.

where;

height = 28 meters.

Base = 88 meters.

Therefore the area of the parallelogram = 28×88 = 2,464m²

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Answer:

the first answer the one with 4 slices

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

There are four equal parts, while the other two have two equal parts or three

Answer:

90°

Step-by-step explanation:

this is a right angled triangle, and to that effect, a right angle triangle is on 90°

therefore y is 90°

Answer:

(A) 11.5 ounces

Step-by-step explanation:

Multiply 3.25 by 4

3.25 x 4 = 13

Subtract 13 from 24.5

24.5 - 13 = 11.5

= 11.5 ounces

Answer:

\({:}\longrightarrow\)\(\sf 5x-2=x+8 \)

\({:}\longrightarrow\)\(\sf 5x-x=8+2 \)

\({:}\longrightarrow\)\(\sf 4x=10 \)

\({:}\longrightarrow\)\(\sf x={\dfrac {10}{4}}\)

\({:}\longrightarrow\)\(\sf x={\dfrac {5}{2}}\)

\({:}\longrightarrow\)\(\sf x=2.5 \)

Answer:

the answer is 25 degrees

Answer:

alpha = 25°

Step-by-step explanation:

The picture indicates a rectangle.

Alpha is in a straight corner of 90 °, so...

65 + alpha = 90

subtract 65 left and right of the = sign.

65 - 65 + alpha = 90 - 65

0 + alpha = 90 - 65

alpha = 25°

Answer:

Option (3)

Step-by-step explanation:

The given expression is (5t)³

By solving this expression by the product of powers of the exponents,

(5t)³ = (5)³(t)³     [Since (a.b)³ = (a)³.(b)³]

       = 125t³

Therefore, Option (3) will be the answer.

The types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.

A. To find f(x) + g(x), we add the two functions together:

f(x) + g(x) = (x + 2)/(x^2 - 9) + 11/(x^2 + 3x)

To add these fractions, we need a common denominator. The common denominator in this case is (x^2 - 9)(x^2 + 3x). So, we rewrite the fractions with the common denominator:

f(x) + g(x) = [(x + 2)(x^2 + 3x) + 11(x^2 - 9)] / [(x^2 - 9)(x^2 + 3x)]

Simplifying the numerator:

f(x) + g(x) = (x^3 + 3x^2 + 2x^2 + 6x + 11x^2 - 99) / [(x^2 - 9)(x^2 + 3x)]

Combining like terms:

f(x) + g(x) = (x^3 + 16x^2 + 6x - 99) / [(x^2 - 9)(x^2 + 3x)]

B. To find the excluded values, we look for values of x that would make the denominators zero, as division by zero is undefined. In this case, the excluded values occur when:

(x^2 - 9) = 0  --> x = -3, 3

(x^2 + 3x) = 0 --> x = 0, -3

So, the excluded values are x = -3, 0, and 3.

C. To classify each type of discontinuity, we examine the excluded values and the behavior of the function around these points.

At x = -3, we have a removable discontinuity or hole since the denominator approaches zero but the numerator doesn't. The function can be simplified and defined at this point.

At x = 0 and x = 3, we have vertical asymptotes. The function approaches positive or negative infinity as x approaches these points, indicating a vertical asymptote.

Therefore, the types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.

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Answer:

6 hours

Step-by-step explanation:

The trick to this type of problem is using an equal amount of time.

The least common multiple of 7 and 42 is 42

At 7 hours per wall

In 42 hours the bricklayer could build

42/7 = 6 walls

At 42 hours per wall

In 42 hours the apprentice could build

42/1 = 1 walls

Working together in 42 hours they could build 6 + 1 = 7 walls

42hours/7walls = 6hours/ wall

--------------------------

Math only

x = 1 wall/7hours + 1wall/42 hours

use common denominator of 42

x = 6w/42 hr + 1w/42hr

x = 7w/42 hr

reduce

x = 1w / 6hr

Answer:

1.\(\frac{24}{7}\)
2.\(\frac{21}{6}\)

Step-by-step explanation:

Given the following questions:

\(3\frac{3}{7} \\3\frac{5}{6}\)

To convert mixed numbers into improper fractions we need to multiply the denominators by the whole numbers, and then add that answer to the numerator while of course keeping the denominator the same.

Question one:

\(3\frac{3}{7} \\3\frac{3}{7} =7\times3=21+3=24=\frac{24}{7} \\=\frac{24}{7}\)

Question two:

\(3\frac{5}{6} \\3\frac{5}{6}=6\times3=18+3=21=\frac{21}{6} \\=\frac{21}{6}\)

Your answers are "24/7, and 21/6."

Hope this helps.

Step-by-step explanation:

1. Not a function There is no correlation plus there is two y values for the same x.

2.Not a function, There is two y values for the same x

3.Yes, you can draw a linear line through the points to represent the equation, also there is one x for one y.

4.Yes, this is a step function. It seems there are two y values for same x. but the shaded circle means to include it and the open circle means dont include it so it is a function.

5.No, this is a parabola but this function has two y values for the same x

6. Yes, this is a absolute value function and there is multiple x values for the same y so it IS a function

Graph 3,6,4 represents a function because the x’s do not repeat and it passes the vertical line test. Which means 1,2,5 is not a function because the x's do repeat and it does not pass the vertical line test

Hope this helps

Have a great day/night

Feel free to ask any questions

Using a linear regression calculator, the best fit line, initial velocity and the velocity of the car after 15 seconds is :

Using technology, the linear regression equation obtained by fitting the data is :

The approximate velocity at time = 0 ; x = 0 :

y = 3.64(0) + 5.7

y = 0 + 5.7

y = 5.7 m/s

3.) Velocity after 15 seconds :

At time, x = 15 seconds

y = 3.64(15) + 5.7

y = 60.3 m/s

Therefore, the velocity of the car after 15 seconds is 60.3 m/s

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Step-by-step explanation:

To answer this question we must understand what does each percentge mean :

For 71 percent alcohol we have the quantity wich is 15 liter

so :

15 liter⇒ 100 percent

x( the unkhown quantity)⇒ 71 percent

x = (15*71)/100 )= 10.65 liter of alcohol

so we want 10.65 liter of alcohol

here is a way :

lat's take 10 L of 80 percent alcohol and 4liters of  the other one

10*0.8+4*0.65 = 10.6

we just need 0.05 liter of alcohol

add 0.0625 L of the 80 percent liter alcohol to get 10.65

Answer:

25%, 40 trees, 50%, 36 trees

The probability of at least 8 homes would prefer brand B compare to compare A is given by 0.672.

Sample size 'n'= 25

Proportion of people prefer brand A = 0.4

This implies ,

Proportion of people prefer brand B 'p' = 1 - 0.4

                                                                  = 0.6

Using the binomial distribution.

Let X be the number of homes that prefer brand B out of the 25 homes surveyed.

Then X follows a binomial distribution with parameters n = 25 and p = 0.6

Probability that at least 8 homes would state a preference for brand B. expressed as,

P(X ≥ 8) = 1 - P(X < 8)

Using the binomial distribution, compute P(X < 8) as follows,

P(X < 8) = Σ [²⁵Cₓ] × 0.6ˣ × 0.4²⁵⁻ˣ, for x = 0, 1, 2, ..., 7

where ²⁵Cₓ is the binomial coefficient which represents the number of ways to choose k homes out of 25.

Use a binomial calculator ,

⇒P(X < 8) = [²⁵C₀] × 0.6⁰× 0.4²⁵⁻⁰ + [²⁵C₁] × 0.6¹× 0.4²⁵⁻¹ + [²⁵C₂] × 0.6²× 0.4²⁵⁻² + .......+ [²⁵C₇] × 0.6⁷× 0.4²⁵⁻⁷  

⇒P(X < 8) ≈ 0.328

This implies,

P(X ≥ 8) = 1 - P(X < 8)

             ≈ 1 - 0.328

             = 0.672

Therefore,  the probability that at least 8 homes would state a preference for brand B is approximately 0.672.

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The above question is incomplete , the complete question is:

A manufacturer of floor wax has developed two new brands, A and B.  which she wishes to subject to homeowners' evaluation to determine which of the two is superior. Both waxes are applied to the floor surfaces in each of a sample of 25 homes. It is known that the proportion of people that prefer A is 0.4 while the rest prefer brand B.

Find the probability that at least 8 homes would state a preference for brand B.

Answer:

16 is correct

Step-by-step explanation:

Answer:

rate: 4                             rate: -2

starting: 3                       starting: 30

y= -4x + 3                        y= -2x + 30

rate: 2                            rate: 6

starting: -4                     starting: 6

y= 2x -4                          y= 6x + 6

Step-by-step explanation:

\(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\)

^equation to find slope

To also find b, the starting value,  you need to take any point given and substitute it back into the equation with the slope.

However, these problems give you the y-int already [it is the point like (0,y)]

7-3/1-0 = 4/1

rate: 4

starting: 3

y= 4x + 3

28-30/1-0= -2/1

rate: -2

starting: 30

y= -2x + 30

-2 - (-4)/1-0 = 2/1

rate: 2

starting: -4

y= 2x -4

6-0/1-0 = 6/1

rate: 6

starting: 6

y= 6x + 6

Answer:

To calculate the monthly payment for the TV after the discount, sales tax, and financing, we need to follow these steps:

Step 1: Calculate the discount

Discount = 25% of $987.48

Discount = 0.25 x $987.48

Discount = $246.87

Step 2: Calculate the discounted price of the TV

Price after discount = $987.48 - $246.87

Price after discount = $740.61

Step 3: Calculate the sales tax

Sales Tax = 6.5% of $740.61

Sales Tax = 0.065 x $740.61

Sales Tax = $48.15

Step 4: Calculate the total cost of the TV after discount and sales tax

Total cost = Price after discount + Sales Tax

Total cost = $740.61 + $48.15

Total cost = $788.76

Step 5: Calculate the monthly payment on the 2-year loan with 15.6% annual interest rate using the following formula:

Monthly Payment = (P x r) / (1 - (1 + r)^(-n))

where P is the principal (total cost of the TV), r is the monthly interest rate (15.6% / 12), and n is the number of months (24).

Monthly Interest Rate = 15.6% / 12

Monthly Interest Rate = 0.013

Monthly Payment = ($788.76 x 0.013) / (1 - (1 + 0.013)^(-24))

Monthly Payment = $36.89

Therefore, the monthly payment on the 2-year loan for the TV is $36.89.

Step-by-step explanation:

Answer:

10 cm

Step-by-step explanation:

\(\boxed{area \: of \: traingle = \frac{1}{2} \times base \times height}\)

Substitute known values into the formula:

41.5= ½ ×8.3 ×height

41.5= 4.15 ×height

height

= 41.5 ÷4.15 (÷4.15 on both sides)

= 10cm

Answer:

10 cm.

Step-by-step explanation:

You will first need the formula for finding the Area of a Triangle:

Area = 1/2(Base x Height)

Next, we need our known measurements to plug into the Equation:

41.5 Sq Cm = 1/2(8.3cm x Height)

After that, multiply the equation by 2

2 x 41.5 = (2 x 1/2) x (8.3cm x Height)

∨

83 sq cm = 8.3 cm x Height

Finally, divide your area by 8.3 cm:

83 / 8.3 = 10cm = Height

So, the answer is Height = 10 cm.

Answer:

Step-by-step explanation:

You want to identify the x-intercepts on the graph.

An "x-intercept" is a point where the graph crosses or touches (intercepts) the x-axis. The y-value there is always 0.

The given graph crosses the x-axis where x = -2 and x = 3. This means the x-intercept points are ...

  (-2, 0) and (3, 0)

<95141404393>

Answer:

y=2/3

Step-by-step explanation:

2y+4y=6-3y

⇔ 2y+4y+3y=6

⇔ 9y=6

⇔ y=6/9=2/3

The answer is:

y = 2/3

Work/explanation:

For now, I focus on the left side and combine the like terms:

\(\bf{2y+4y=6-3y}\)

\(\bf{6y=6-3y}\)

Add 3y to each side

\(\bf{6y+3y=6}\)

Combine like terms

\(\bf{9y=6}\)

Divide each side by 9

\(\bf{y=\dfrac{6}{9}}\)

\(\bf{y=\dfrac{2}{3}}\)

Hence, the answer is 2/3.

Answer:

Circle, angle, and line segment.

Step-by-step explanation:

In a rectangle all four segments of the diagonals would be equal....they are not...so this is NOT a rectangle

The water pressure on a submerged object is given by P = 64d, then the value d is 10.5 feet.

a. D = P/64 is the solution to the formula's "d" subject.

b. The depth of a submerged object at a pressure of 672 pounds per square foot is 10. 5 feet.

A function can be defined as an expression, law or rule that shows the relationship between two variables.

Given the role as;

P = 64d

Where;

P stands for pressure in pounds per square foot.

The object's depth, d, is expressed in feet.

Now let's center the formula on the variable "d."

Both sides of the equation are divided by the variable "d64-based "'s coefficient. This is carried out so that the variable can stand on its own.

We have.

P/64 = 64d/64

d = P/ 64

If there is pressure, P is equivalent to 672 pounds per square foot.

When the value of the variable is inserted into the formula, we obtain;

d = P/64

Then,

d = 672/64

Discover the quotient.

d = 10. 5 ft.

Therefore,

The water pressure on a submerged object is given by P = 64d, then the value d is 10.5 feet.

a. D = P/64 is the solution to the formula's "d" subject.

b. The depth of a submerged object at a pressure of 672 pounds per square foot is 10. 5 feet.

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In the given equation, the value of S is divided by 14, so to calculate the value of S you have to invert the operation, that is, multiply it by 14 so that both operations cancel each other.

And, for the equality to be valid, all operations made in one side of the = sign must be done on the other side as well. So, multiply both sides of the equation by 14:

S=196 the correct choise is b.