I need help with this math question

Answer:

$64,208.33

Step-by-step explanation:

100% - 33% = 67%

Since she pays 33% in taxes, she will only get 67% of the $23 million.

1 year = 12 months

20 years = 20 × 12 months = 240 months

There are 240 months in 20 years.

monthly amount = 67% of $23 million / 240

monthly amount = 0.67 × $23,000,000 / 240

monthly amount = $64,208.33

Answer:

6 and 5

Step-by-step explanation:

angles are a linear pair of supplementary angles, if they are directly neighboring, are created by 2 intersecting lines, and sum up to 180°.

the only 2 angles fulfilling all these criteria are 6 and 5.

Point A: ( -1, 4 )

Point B: ( 1 ,0 )

To get from Point B to Point A, we must rise 4 and run -2 So using rise over run we have m = -2

Explanation:

After observing:

And

[tex]\sf slope \ (m) : \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{rise}{run} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

[tex]\rightarrow \sf slope \ (m) = \dfrac{rise}{run} = \dfrac{4-0}{-1-1} = \dfrac{4}{-2} = -2[/tex]

Answer: The average change in elevation is 27 feet per second.

Step-by-step explanation:

 A submarine dives = 378 feet

          Time taken in the total diving = 14 seconds.

So, according to the question, the average change in the elevation  can be calculated by

                            ⇒ Feet per second = feet/ second

                             ⇒ the average change = 378/14

                            ⇒ elevation = 27 feet per second.

Change in elevation is basically the distance covered in one second.

Answer:

which lines

Step-by-step explanation:

draw a picture

Answer:

If AD=AE the the bisector CD. will be the coefficient of AE

Answer: [tex]128^{\circ}[/tex]

Step-by-step explanation:

By the inscribed angle theorem, minor arc EG measures 92 degrees.

Since the circumference of a circle measures 360 degrees, arc EF measures [tex]360-140-92=128^{\circ}[/tex]

The measure of the arc EF = 128°.

Arc is that part of the circumference of the circle which is formed by two points on the circle.

The angle subtended by an arc on the center of the circle is twice that it subtends on the circumference of the circle.

So,

The measure of arc EG = 2 * 46 = 92

The measure of arc GF = 140°

The complete circle has an angle of 360° at the center

The measure of the arc EF = 360 -mEG - mGF

The measure of the arc EF = 360 - 92 -140

The measure of the arc EF = 128°.

Therefore, The measure of the arc EF = 128°.

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Answer:

13.94%

Step-by-step explanation:

46 out of 330 did not finish.

46/330 = .139393939...

Multiply by 100 to turn into a percent. Rounding to the hundredths place, you get1 13.94%

Answer:

42

Step-by-step explanation:

    Two tangents from a point outside the circle to some point to a circle are of equal lengths.

CB = 3+ 5 = 8

CD = 3+ 4 = 7

DA = 4 + 9 = 13

AB = 9+ 5 = 14

Perimeter = 8 + 7 + 13 + 14

                = 42

The ratio of the side lengths of the triangle will be 3:10 or 3/10.

From the information given, the first triangle has sides 6 and 9 while the large triangle has sides 20 and 30.

Based on this, the ratio will be:

= 6/20 = 9/20

= 3/10 = 3/10

Therefore, the ratio is 3:10.

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The relative frequencies for all pets are given-

The relative frequency for dog is 0.4.

The relative frequency for cat is 0.35.

The relative frequency for bird is 0.15.

The relative frequency for fish is 0.1

The ratio of the total number of events occurring in a scenario to the number of times an event occurs is known as relative frequency.

Relative Frequency = Subgroup frequency/ Total frequency.

Relative Frequency = f/ n.

where, f = total frequency

n = subgroup frequency

Calculation for the relative frequencies of the pet types:

(1) Relative frequency for dog:

Total frequency is 20.

The frequency for dog is 8.

Relative frequency for dog =  frequency for dog/total frequency

                                             = 8/20

                                             = 0.4

Relative frequency for dog = 0.4.

(2) Relative frequency for cat:

Total frequency is 20.

The frequency for cat is 7.

Relative frequency for cat =  frequency for cat/total frequency

                                             = 7/20

                                             = 0.35

Relative frequency for cat = 0.35.

(3) Relative frequency for bird:

Total frequency is 20.

The frequency for bird is 3.

Relative frequency for bird =  frequency for bird/total frequency

                                             = 3/20

Relative frequency for bird = 0.15.

(4) Relative frequency for fish:

Total frequency is 20.

The frequency for fish is 2.

Relative frequency for fish =  frequency for fish/total frequency

                                             = 2/20

Relative frequency for fish = 0.1.

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Answer:

Step-by-step explanation:

Comment

There are 4 cups in a quart.

There are 12 cups in x quarts.

Solution

4/12 = 1 / x                               Cross multiply

4x = 12*1                                  Combine

4x = 12                                     Divide both sides by 4

4x/4 = 12/4

x = 3 quarts

Answer

3 quarts.

2.46

A Type I error is rejecting the null when it is true.

If the critical value is 2.45, and you have a test statistic of 2.46, you have the least chance among the other choices of rejecting the null and it happens to be true.

We got another hypothesis here and our alternative that is less than five. So that's how we're gonna write it.

We're gonna be looking at a left tail test since it's less than the mean, Our means, always going to be in the middle here. And what we're trying to calculate is the probability that this is true.

The level of significance which is selected in

Step 1 (e.g., α =0.05) dictates the critical value.

For example, in an upper-tailed Z test, if α =0.05 then the critical value is Z=1.645.

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Answer:

10

Step-by-step explanation:

In a 45-45-90 right triangle, the hypotenuse is sqrt(2) times the length of the leg.

Answer:

The value of [tex]$(f \circ g)(x)$[/tex] is [tex]$4+4 x$[/tex] and [tex]$(g \circ f)(x)$[/tex] is [tex]$4 x-16$[/tex].

Step-by-step explanation:

It is given in the question functions f(x) as 4-x and g(x)=-4x.

It is required to find [tex]$(f \circ g)(x)$[/tex] and [tex]$(g \circ f)(x)$[/tex].

To find [tex]$(f \circ g)(x)$[/tex], substitute g(x)=-4x for x in f(x) and simplify the expression.

To find [tex]$(g \circ f)(x)$[/tex], substitute f(x)=4-x for x in g(x) and simplify the expression.

Step 1 of 2

Substitute g(x)=-4x for x in f(x) and simplify the expression.

[tex]$$\begin{aligned}&(f \circ g)(x)=f(g(x)) \\&(f \circ g)(x)=4-g(x) \\&(f \circ g)(x)=4-(-4 x) \\&(f \circ g)(x)=4+4 x\end{aligned}$$[/tex]

Step 2 of 2

Substitute f(x)=4-x for x in g(x) and simplify the expression.

[tex]$$\begin{aligned}&(g \circ f)(x)=g(f(x)) \\&(g \circ f)(x)=-4 f(x) \\&(g \circ f)(x)=-4(4-x) \\&(g \circ f)(x)=4 x-16\end{aligned}$$[/tex]

The number of feet in the length of the handrail is 17.3 ft.

The easiest way to see this is to imagine that we can "unfold" the spiral to create a rectangle

The bottom side of the rectangle is just the arc length of a circle with a radius of 3 ft  turned through 270°= (3/4) of a whole revolution

(3/4) (2pi) (3)  =  (9/2)pi ft =   4.5 pi ft

The side of the rectangle will be the rise of the staircase = 10ft

And the diagonal of the rectangle will be the length of the handrail

We can use the Pythagorean Theorem to solve this

Handrail length = √ [ (4.5 pi)^2 + 10^2 ]  ≈  17.3 ft

Pythagorean theorem is the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

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Answer:

The Answer is B.

Step-by-step explanation:

If you were to look at the slope, 3x. You would look to see if the graphs have a slope of 3x. You go three up and one right.

Answer:

9/28 and 32.1%

Step-by-step explanation:

So the sample space consists of all products for (5 * 1, 5 * 2, 5 * 3.... and the same thing for 6, 7, and 8)

This gives you the sample space: {5, 10, 15, 20, 25, 30, 6, 12, 18, 24, 30, 36, 7, 14, 21, 28, 35, 42, 8, 16, 24, 32, 40, 48}.

The size of the sample space is 4 * 6, since for each number (5, 6, 7, 8), there are 6 products (the dice have six numbers). This means the sample space has 24 combinations, you can also verify this by manually counting the sample space.

Now filtering the sample space so you only get a product that is 28 or higher you get: {30, 30, 36, 28, 35, 42, 32, 40, 48} which has 9 possible combinations that have a product greater than or equal to 28. Divide this by the entire sample space and you get a probability of: 9/28, which in decimal form is approximately: [tex]0.3214[/tex]. Multiplying this by 100 gives you: [tex]32.1[/tex]%

The slope of the line that represents the relationship is 0.7692

The formula for calculating the slope of a line is expressed as;

Slope = y2-y1/x2-x1

Using the coordinate points (1.3, 1) and (2.6, 2)

Substitute

Slope = 2-1/2.6-1.3

Slope = 1/1.3

Slope = 0.7692

Hence the slope of the line that represents the relationship is 0.7692

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Answer:

b. The graph of g(x) is a translation 10 units right and 8 units up from the graph of f(x).

Step-by-step explanation:

See attached image.

The expression which shows the amount of money, in dollars Maddie spent on mailing letters in March is 3.7 +0.74 y.

Given Maddie mailed y letters in January. She mailed 3 times as many letters in February. In March she mailed 10 letters more than half of what she mailed in January and February.

Expression  is combination of numbers, symbols, fraction, coefficients which are not found in equal to form.

Letters mailed in January=y

Letters mailed in February=3y

Letters mailed in March=10+(y+3y)/2

=10+2y

Amount of mailing of 1 letter=$0.37.

Amount of mailing of letters in March=0.37(10+2y)

=3.7+0.37*2y

=3.7+0.74y

Hence the expression which shows the amount of letters mailed in March is 3.7+0.74 y.

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The rule that describes a reflection across the line y = x is given as (x, y) ⇒ (y, x)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Translation is the movement of a point either up, down, left or right on the coordinate plane.

The rule that describes a reflection across the line y = x is given as (x, y) ⇒ (y, x)

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Answer:

  (a)  The number of positive zeros is either 2 or 0. The number of negative zeros is either 2 or 0.

Step-by-step explanation:

The possible numbers of real zeros can be found using Descarte's Rule of Signs.

When signs of coefficients of terms of the polynomial are listed in order of decreasing degree, the number of sign changes can be counted. That number is the number of possible positive real zeros of the polynomial.

When the signs of odd-degree terms are changed, the number of sign changes becomes the possible number of negative real zeros.

The actual number of real zeros may be less by a multiple of 2. (The zeros may be complex, and complex zeros come in pairs.)

The signs of the terms in the given polynomial are ...

  + - + + + . . . . . 2 sign changes: 2 or 0 positive real zeros

When the signs of odd-degree terms are changed, they become ...

  + + + - + . . . . . 2 sign changes: 2 or 0 negative real zeros

Descarte's rule of signs lets us conclude ...

__

Additional comment

When we graph the function, we find there are no real zeros. All four of the zeros are complex.

Answer: (35,35,110) and (40,60,80)

Step-by-step explanation:

If given all 3 side lengths, it can only describe one triangle. Angles alone are not enough to guarantee how a triangle looks.

side lengths of 6 ft, 8 ft, and 10 ft - no because all sides are defined

angle measurements of 35°, 35°, and 110° - yes because three angles can describe more than one triangle

angle measurements of 30°, 40°, and 50° - no because the sum of the angles is 120 degrees. Triangles have a combined total of 180 degrees

angle measurements of 40°, 60°, and 80° - yes because 3 angles

side lengths of 4 cm, 6 cm, and 9 cm 6 - no because all sides are defined

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In this example, the sampling interval is 10.

A researcher gets a list of all 500 members of the National Association of Social Work in Yourtown that she wants to include in her study. She only has the funding and time to survey 50 members. She takes her list of members, randomly selects a starting point, and then selects every tenth name from the list to be included in her sample.

In this example, the sampling interval is 10.

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Answer:

P = $900

Step-by-step explanation:

Simple Interest Formula: [tex]A = P(1+rt)[/tex]

Where A is the final amount,

P = Principal

r = Interest Rate in Percent or [tex]\frac{r}{100}[/tex] per annum

t = time in years

From the information given in the question,

A = $918

r = 2% per annum or [tex]\frac{2}{100}[/tex]

t = 1 year

Lets substitute these values to find P, the principal.

[tex]P(1+(\frac{2}{100} )(1))=918\\P(1+0.02)=918\\1.02P=918\\P = \frac{918}{1.02} \\=$900[/tex]

Therefore, P = $900