D 1. Find (f + g)(x) if f(x) =
4x^2– 5x + 8 and g(x) = 2x^2 + x - 2.

1- (f+g)(x) = 2x^2 + 6x - 10
2- (f+g)(x) = 6x^2 + 4x - 6
3- (f +9)() = 6x^2 - 4x + 6
4- (f+g)(x) = 2x^2- 6x + 10

Answer:

Riley ran 5 miles (26400 / 5280= 5)

Step-by-step explanation:

5280 times 5 equals 26400.

Answer:

5 miles

Step-by-step explanation:

26400/5280=5

Answer:

90

Step-by-step explanation:

The equation of the line that passes through the point (-3, 7) and has a slope of -5/3 is y - 7 = (-5/3)(x + 3).

We are given the point (-3, 7) and the slope of the line as -5/3.The slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.

To obtain the equation of the line, we need to substitute the values of slope and point in the slope-intercept form and solve for b.(7) = (-5/3)(-3) + b 21/3 = b.

Now we have the value of b, and we can substitute the values of m and b in the slope-intercept form.y = (-5/3)x + 21/3 is the equation of the line in slope-intercept form.

To obtain the equation in the standard form Ax + By = C, we multiply each term by 3.3y = -5x + 7Add 5x to both sides5x + 3y = 7.

This is the equation of the line in standard form.

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A student wants to write an expression for, all the elements which are in set A and all the elements in set B. Then, the expression matches the statement is (A n B), which is read as A intersection B. Thus, option B is correct.

The intersection of two sets A and B, denoted by display by (A ∩ B). It is the set containing all elements of A that also belong to B, or, alternatively, all elements of B that also belong to A. The symbol is sued for the intersection is ∩. This is defined as that the element of A and B are is a single set.

Therefore, option B is correct.

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The expression for total cost per month is 30(100000+2000f).

Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.

The standard deviation formula is σ = √∑(xi-μ)²/N

A) The expression for total cost per month

Let the number of flites be f.

Total cost = 30(100000+2000f)

B) The expression for total revenue per month

Rise airlines has the current capacity to fly a mean of 15 flites a day with a standard deviation of 12.

So, total revenue per month

= 30(100000+2000×15)

= $3,900,000

C) Here, σ=12, μ=15, N=60

σ = √∑(xi-μ)²/N

12= √∑(xi-15)²/60

144=(xi-15)²/60

8640=(xi-15)²

xi-15=92.95

xi=108

Therefore, the expression for total cost per month is 30(100000+2000f).

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Answer:

need more info bud

Step-by-step explanation:

Answer:

the 2 an 1/2 miles is a whole number btw same with 3 is a whole in 1/3

Step-by-step explanation:

Answer: then Sydeney was assigned 100% of math Problems to do and it's remaining 40%

Step-by-step explanation:

Joe earned $140 for working 20 hours

To determine the value of a single unit from a specified multiple, use the unitary technique. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.

Joe worked 14 hours  and earned = $119

Joe worked for 1 hour and earned = $ 119/ 14

Joe worked for 20 hours and earned = $ 119/ 14 x 20

                                                                 = 4140

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Answer: The volume of the Hemisphere can be calculated by the formula \((\frac{2}{3})\pi r^{3}\)cubic units

where r is the radius of the hemisphere.

Let, V  is the volume of the hemisphere then, V=6.174 \(cm^{3}\)

Step-by-step explanation:

1. To calculate the radius we can rearrange this formula

⇒ V= \((\frac{2}{3})\pi r^{3}\)

⇒ \(r = \sqrt[3]{\frac{3}{2} \frac{V}{\pi } }\)

putting the values:

V=6.174 \(cm^{3}\)

\(\pi\)=3.141

2. \(r = \sqrt[3]({\frac{3}{2})\frac{6.174}{\ 3.141} }\)

3. after solving r=1.433 cm

Hence, the radius of the hemisphere is 1.433cm

Answer:

I have never solved any problem like this

Step-by-step explanation:

Answer:

circuit A

explanation:

circuit B is a parallel circuit

Answer:

0.9538

Step-by-step explanation:

The computation of the proportion of variation in labor hours is explained by the number of cubic feet moved is shown below:

Here the R^2 coefficient of determination, would be determined and applied the same

R^2 = 1 - SSE ÷ SST

= 1 - 123.97 ÷ 2685.9

= 0.9538

The distance between points C and D is given as follows:

5 units.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The coordinates for this problem are given as follows:

(-4, -6) and (1, -6).

Hence the distance is given as follows:

\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)

D = 5 units.

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Answer:

(-4, -3)

Step-by-step explanation:

That's Correct!

x + 4 shifts the origin 4 left

y + 3 shifts the origin 3 down

(-4, -3)

For the coordinate (5,6), the 90 degree rotation will be equivalent to (-6, 5)

Rotation is a technique used to change the position of an object on an xy-plane.

If the coordinate point (x, y) is rotated 90degrees, the rule will be:

(x, y) -> (-y, x)

For the coordinate (5,6), the 90 degree rotation will be equivalent to (-6, 5)

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Answer is in a box.

The bag contains 6 red marbles, 8 blue marbles and 9 green marbles, that is 23 marbles.

The probability that one of the 23 marbles will be picked is 1 or 100%, we are picking a marble for sure.

So what is the probability you will pick for example one of the 6 red marbles? It is 6 out of 23 but since we need percentages multiply by 100,

\(\frac{6}{23}\cdot100\approx26.09\%\)

The probability to pick a blue marble is,

\(\boxed{\frac{8}{23}}\cdot100\approx34.78\%\)

And the probability to pick a green marble is,

\(\frac{9}{23}\cdot100\approx39.13\%\)

To check that everything is right you can sum all the probabilities; the probability that it will be either red, blue or green is 100% so the individual probabilities must sum to 100%, and they do,

\(26.09\%+34.78\%+39.13\%=100\%\)

Hope this helps :)

Answer:

Step-by-step explanation:

Ronald's walking speed is 3 miles per hour, and he walks for 2 hours, so he covers 3 * 2 = 6 miles. In the next hour, he runs at a speed of 6 miles per hour, covering an additional 6 miles. Therefore, Ronald traveled a total of 6 + 6 = 12 miles.

The compound amount after 3 years is $2275.22.

In this case, you are given:

Principle = $2,000

rate = 0.0353

time = 3

You need to find A, the compound amount after 3 years.

To do this, you need to plug in the values of P, r and t into the formula and use a calculator:

A=P×e^rt

A=2000×(e)^0.0353×3

A≈2275.22

Therefore, by the compound interest the answer will be $2275.22.

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Based on the information provided, the numbers that are closest to -3/5 are -4/5 and -0.2 and the numbers that are closest to 4/5 are 2/5 and 0.6.

To understand this, we will simplify the fractions given by dividing the numbers:

-3/5 = -0.6

4/5 = 0.8

Now, let's evaluate if each number is closest to -3/5 or to 4/5. For this, we will simplify the numbers when it is possible.

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Answer:

Step-by-step explanation:

dudjdjd

Answer:

B for 2

A, C, D, and F for 1

a) The null hypothesis is that there is no difference in the proportion of homeowners using water filters among the three communities. The alternative hypothesis is that at least one community has a different proportion of homeowners using water filters than the other communities.

b) To calculate the expected count for the bottom right cell, we can use the formula:

Expected count = (row total x column total) / grand total

The row total for Community C and the column total for No are both 100, and the grand total is 300. Therefore:

Expected count = (100 x 100) / 300 = 33.33

The expected count of 33.33 for the bottom right cell means that if there were no difference in the proportions of homeowners using water filters among the three communities, we would expect 33.33 of the 100 homeowners in Community C to answer 'No' to the question about water filters.

c) To determine what we can conclude from the Chi-square statistic of 13.22, we need to compare it to the critical value for a Chi-square distribution with (3-1) x (2-1) = 2 degrees of freedom at the desired level of significance. Let's assume a level of significance of 0.05. From a Chi-square distribution table, the critical value with 2 degrees of freedom at 0.05 level of significance is 5.99.

Since 13.22 is greater than 5.99, we can reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners using water filters among the three communities. However, we cannot determine from this test alone which communities have different proportions of homeowners using water filters. We would need to conduct further tests, such as post-hoc tests, to investigate the specific differences among the communities.

Here's the complete chart:

Month  Balance Interest Payment New Balance

0  $1,357.56     -            -          $1,357.56

1 $1,383.54 $23.98 $150 $1,257.52

2 $1,409.62 $26.08 $150 $1,266.06

3 $1,435.81 $27.19 $150 $1,473.61

Percent is a way of expressing a fraction or a ratio as a number out of 100. The word "percent" comes from the Latin per centum, which means "per hundred." Percentages are commonly used in many areas, including finance, economics, and statistics. For instance, interest rates, inflation rates, and stock market returns are often expressed as percentages. In addition, percentages are used to calculate discounts, markups, and taxes.

Here,

To calculate the new balance by the end of the 3rd month, we need to use the formula for the balance after n months with monthly payments:

B(n) = (1 + r)ⁿ * B(0) - (PMT/r) * [(1 + r)ⁿ-1]

where B(0) is the initial balance, r is the monthly interest rate, PMT is the monthly payment, and n is the number of months.

In this case, we have:

B(0) = $1357.56

r = 1.7% per month = 0.017

PMT = $150

n = 3 months

Plugging these values into the formula, we get:

B(3) = (1 + 0.017)³ * $1357.56 - ($150/0.017) * [(1 + 0.017)³ - 1]

= $1473.61

Therefore, the new balance by the end of the 3rd month is $1473.61.

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Answer:

23/4

Step-by-step explanation:

The equation becomes 8x-7*2= 32

8x-14=32

+14 on both sides

8x = 46

divide by 8

x = 46/8

then simplify

x = 23/4

Answer:

rectangular equation, or an equation in rectangular form is an equation composed of variables like xx and yy which can be graphed on a regular Cartesian plane. For example y=4x+3y=4x+3 is a rectangular equation.

A curve in the plane is said to be parameterized if the set of coordinates on the curve, (x,y)(x,y) , are represented as functions of a variable tt .

x=f(t)y=g(t)x=f(t)y=g(t)

These equations may or may not be graphed on Cartesian plane.

Step-by-step explanation:

I hope this helps

Answer:

y=−1x+2

Explanation:

Slope intercept form y=mx+b

Answer:

B.

Step-by-step explanation\(\sqrt[3]{216} =6\)

Answer:

$880

Step-by-step explanation:

Use the equation:

\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.

220=(1-0.75)x

simplify parenthesis terms

220=0.25x

divide both sides by 0.25

880=x

So, the original price was $880.

Hope this helps! :)