Write an equation for the line in point-slope form that passes through the given point with the given slope m.

(−9,8); m=−5

Answer:

1

Step-by-step explanation:

y2 - y1 / x2 - x1

6 - 4 / 0 - -2

2 / 2 = 1

Answer:

  $4918

Step-by-step explanation:

You want the tax owed on $90,000 using the given tax rate table.

The tax is the sum of the amounts of tax due in each income range.

  tax = 0.0575(90,000 -17,000) +0.05(17,000 -5000) +0.03(5000 -3000) +0.02(3000)

  = 0.0575(90,000) -(17000(.0575 -.05) +5000(.05 -.03) +3000(.03 -.02))

  = 0.0575(90,000) -(127.50 +100 +30)

  = 5175 -257.50 = 4917.50

Rounded to the nearest dollar, the tax due is $4,918.

__

Additional comment

The tax will be the maximum of ...

You can compute them all and find the maximum, or you can choose the function applicable to the income amount. The result is the same.

<95141404393>

Answer:

3/10

Step-by-step explanation:

4+6+10

=20

6/20

=3/10

Answer:

28.81cm

Step-by-step explanation:

c=2TTy

Post a better picture then I'll help!

a) A is better for the better experiment. A creates similar with respect to forest exposure. This are because of the orthogonal effect in quadratic main model.

b) Randomization of variety of trees to plot within each block reduces any bias due to comforting variable.

Blocking Scheme:

In this subsection, the goal is to construct a blocking design such that the blocking effects are orthogonal to the terms in the linear main effects model so that a linear plus quadratic main effects model can be estimated. Assume that all m-factors are quantitative and an m0-factor DSD is constructed. where m0 = m + k and n = 2(m + k) + 1 runs.  Removing the intermediate run from  results in a 2(m + k) run design.

Randomization:

When you randomize an experiment, you select subjects at random. For example, you can use simple random sampling. In this case, participant names are randomly drawn from a pool with each having an equal probability of being selected. You can also randomly assign treatments to participants by assigning random numbers from a random number table.

If you use randomization in your experiments, protect yourself from bias. For example, selection bias (where some groups are underrepresented) is eliminated and accidental bias (where random imbalance occurs) is minimized. If your sample is random, you can also run various statistical tests on the data (to test hypotheses).

Learn more about orthogon:

https://brainly.com/question/29580789

#SPJ4

Answer:

1. x<3

2. True

Step-by-step explanation:

1. 4x - 4 < 8

4x<8+4

4x<12

x<3

2. 92 +5 > 23

97>23

True

Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.

The mean refers to the average value.

The average is the quotient of the total value divided by the number of items in the data set.

The number of boys in the class = 26

The number of girls in the class = 20

The total number of boys and girls in the class = 46

The mean number of counters that the boys have = 28

The total number of counters that the boys have = 728 (28 x 26)

The mean number of counters that the girls have =19

The total number of counters that the girls have = 380 (19 x 20)

The total number of counters that the class has = 1,108 (728 + 380)

The average or mean number of counters in the class = 24 (1,108 ÷ 46)

Learn more about the average at https://brainly.com/question/130657.

#SPJ1

1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

Learn more about parabola here:

https://brainly.com/question/28094027

#SPJ1

The capacity of this swimming pool is between B. 500 gallons to 1,000 gallons.

Capacity refers to the product of the length, width, and height of a three-dimensional object or space.

The capacity of an object means the same as its volume.

Olympic-size swimming pools have the following standard dimensions:

Length = 50 m

Width = 25 m

Height = 2 m

Capacity of an Olympic swimming pool = 2,500 m³ (50 x 25 x 2)

= 660,000 gallons (2,500 x 1,000 ÷ 3.785)

An interval estimate shows the lower and upper limits.

6 x 105 gallons = 630 gallons

Thus, the capacity of the swimming pool is Option B.

Learn more about volume or capacity at https://brainly.com/question/463363

#SPJ1

A. 100 gallons to 500 gallons

B. 500 gallons to 1,000 gallons

C. 1,000 gallons to 1,500 gallons

D. 1,500 gallons to 2,000 gallons

Answer:

120%

Step-by-step explanation:

Hope this helps

Both f(x) and g(x) have one x-intercept at x = -1/3.

Theorem A states that for a cubic function of the form f(x) = x^3 + x + b, with b > 1, the function f has exactly one x-intercept. Using Theorem B, we can conclude that for any nonzero real number k, the function g(x) = kf(x) = kx^3 + kx + bk also has exactly one x-intercept.

For example, if f(x) = x^3 + x + 5 and k = 2, then g(x) = 2x^3 + 2x + 10. Both f(x) and g(x) have exactly one x-intercept. This can be shown by solving the quadratic equation formed by setting f(x) = 0 or g(x) = 0. Doing this yields x = -1/3. Therefore, both f(x) and g(x) have one x-intercept at x = -1/3.4

Learn more about x-intercept here:

https://brainly.com/question/14180189

#SPJ4

Answer:

A

Step-by-step explanation:

A model for the monthly sales of General Motors from October 1996 to April 1997:

s(t) = -$4.17 billion * t + $80 billion

First, we need to determine the monthly change rate (m):

m = (Sales at t = 6 - Sales at t = 0) / (t = 6 - t = 0)

= ($55 billion - $80 billion) / (6 - 0)

= -$25 billion / 6

≈ -$4.17 billion per month

Next, we can use the point-slope form of a linear equation to model the monthly sales:

s(t) = m * t + Sales at t = 0

= -$4.17 billion * t + $80 billion

Now, we have a model for the monthly sales of General Motors from October 1996 to April 1997:

s(t) = -$4.17 billion * t + $80 billion

Leaen more about model on

https://brainly.com/question/29382846

#SPJ1

By using graph of function y = x² - 5x - 2, the solution of the equation

- 4 = x² - 5x - 2 are,

⇒ (2, - 4) and (3, - 4)

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The equation is,

⇒ y = x² - 5x - 2

⇒ - 4 = x² - 5x - 2

Now, We can draw the graph of function y = x² - 5x - 2 as shown in figure.

Then, For equation - 4 = x² - 5x - 2;

Value of y = - 4

Hence, By the graph of y = x² - 5x - 2 we can see that at y = - 4 there are two value of x;

⇒ x = 2, 3

Thus, By using graph of function y = x² - 5x - 2, the solution of the equation - 4 = x² - 5x - 2 are,

⇒ (2, - 4) and (3, - 4)

Learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ9

Answer: 37 is a prime number

Step-by-step explanation:

The value of x is 4.

To determine the value of x, we can use the concept of similarity between shapes.

Similar shapes have corresponding sides that are proportional to each other.

Given the dimensions of the first shape as 5, x, and 5, and the dimensions of the second shape as 30, 24, and 30, we can set up the following proportion:

5/x = 30/24

To solve for x, we can cross-multiply:

30 · x = 5 · 24

30x = 120

Dividing both sides of the equation by 30:

x = 120 / 30

x = 4

Therefore, the value of x is 4.

Learn more about concept of similarity click;

https://brainly.com/question/32217666

#SPJ1

Answer:

9599

Step-by-step explanation:

use technology.

Answer:

9595

Step-by-step explanation:

x = 331 x 29

= 9595

331

x 29

----------

9595

Answer:

she bought 4 large frames and 14 small frames!

Step-by-step explanation:

This is a system of equation problem!

let's say that x= large frames and y=small frames.

since there's 18 total, we already have our first equation set.

x+y=18

(number of large frames) + (number of small frames)= 18

13x would represent the large frames because each one is 13 dollars.

6y would represent the small frames because each one is 6 dollars.

Since she paid 136 dollars total, we can already tell that

13x+6y=136

(price of large frames*number of large frames) + (price of small frames*number of small frames)=136.

Now, time for the math!

Attached below is how you would work it out using substitution.

Hope this helps!

x=4 and y=14

Meaning that she bought 4 large frames and 14 small frames!

(a) The probability mass function of X will be P(X=n) = 5/(6n)

(b) E[X] =1.2

(c) Probability [ Alice win] will be =0.5

(d) The value of expected winnings will be 4.25

(a) Let 'p' represent the probability of getting the same number on both the dices on a roll of pair of die

And (1-p) = probability of not getting the same number on both the dices on a roll of pair of die

Sample space for the same number appearing on both the dices on a roll of pair of die = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}

As there are a total of 36 outcomes on a roll of pair of dice,

p = 6/36 = 1/6

Let the events be defined as:

Dn : Both Alice and Bob roll the same number on the nth roll

Wn : The game is finished in the nth roll (i.e. Alice and Bob roll different numbers (as the numbers are different, one will be larger))

Then,P(W) = P(W) , n = 1,2,3,4....infinity

Wn takes place when event D takes place in the first (n-1) rolls and Event W takes place in the nth roll

\($\mathrm{P}(\mathrm{W})=\sum P\left(W_n\right), \mathrm{n}=1,2,3,4 \ldots .$\). infinity

And, W_n takes place when

Event D takes place in the first (n-1) rolls and event W takes place in the \($n^{\text {th }}$\) roll

\(P\left(W_n\right)=P\left(D_1\right)^* P\left(D_2\right)^* P\left(D_3\right) \ldots . .{ }^* P\left(D_{n-1}\right) P\left(W_n\right)P\left(D_n\right)\\=(p)P\left(W_n\right)\\=(1-p)\)

Implies

\($$\begin{aligned}& \left.P\left(W_n\right)=(p)^{n-1}\right)^*(1-p) \\& =\left((1 / 6)^{n-1}\right)^*(1-(1 / 6)) \\& =\left((1 / 6)^{n-1}\right)^*(5 / 6) \\& =5 /\left(6^n\right)\end{aligned}$$\)

(b)

\($$\begin{aligned}& \mathrm{E}[\mathrm{X}]=\sum n * P(X=n), \mathrm{n}=1,2,3,4 \ldots . . \text { infinity } \\& =\sum n * \frac{5}{6^n} \\& =5 * \sum n * \frac{1}{6^n}\end{aligned}$$\)

If \($\mathrm{S}=\sum n * \frac{1}{6^n}$\)

Then S is a sum of infinite aritho-geometric series of the form

\($$\sum_{k=1}^{\mathrm{inf}} k * r^k \text {, }$$\)

The sum of which is given as \($S=\frac{r}{(1-r)^2}$\) for 0 < r < 1

Here, r=(1 / 6)

\(\Rightarrow & S=\frac{\frac{1}{6}}{\left(\frac{5}{6}\right)^2} \\& =\frac{6}{25}\)

E[X] = (5) x (6/25) = (6/5)= 1.2

(c) Since the dies are fair, and the outcomes are independent, the probability of each player winning is equal

Therefore,

P(Alice WIn) = P(Bob WIn) = 0.5

(d) If X represent the round in which the game ends, then the probability of us winning in that round

P(W|X=n) = 0.5*P(X=n)

= (0.5)*(5/(6n))

P(W|X=1) = (0.5)*(5/(61)) = (5/12)

P(W|X=2,3,4...) = 0.5 - P(W|X=1) = (1/2) - (5/12) = (1/12)

Leth the variable W represent the winnings

(W|X=1) = 10

(W|X=2,3,4...) = 1

E[W] = P(W|X=1)*(W|X=1) + P(W|X=2,3,4...)*(W|X=2,3,4...)

= (10 x (5/12)) + (1 x (1/12))

= (50/12) + (1/12)= (51/12)= 4.25

For more questions on Probability

https://brainly.com/question/29856487

#SPJ4

The area of the rectangular figure with two semicircles on the opposite side is  36.56 sq cm.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

Given, A rectangle with two semicircles on two opposite sides.

The length of the rectangle is 6cm and the width of the rectangle is 4cm.

The two given semicircles have a diameter of 4cm seems obvious.

∴ The area of the total figure is an area of the rectangle added to the area of 2 semicircles which makes up to a circle with a radius 2 cm.

∴ (4×6) + π(2)² sq cm.

= 24 + 4π sq cm.

= 24 + 12.56 sq cm.

= 36.56 sq cm.

The area which is not taken up in the rectangle and two circle questions are

(area of the rectangle - 2 times the area of a circle).

learn more about circles here :

https://brainly.com/question/11833983

#SPJ1

If a small orchard produces "f" number of citrus fruits in a year, and the floats in the Orlando Citrus parade use as many citrus fruits as a small orchard produces in 6 years, then an algebraic expression to represent the total number of fruits the floats use the parade will be (6 * f)

As per the question statement, a small orchard produces "f" number of citrus fruits in a year, and the floats in the Orlando Citrus parade use as many citrus fruits that a small orchard harvests in 6 years.

We are required to determine an algebraic expression to represent the total number of fruits the floats use in the parade.

To solve this question, we simply have to multiply the number of citrus fruits a small orchard produces in a year with the number of years mentioned in the question statement, to obtain our desired answer, that is, "f" number of fruits produced in a year by the farm, and the floats in the parade use as many citrus fruits that a small orchard harvests in 6 years.

Therefore, an algebraic expression to represent the total number of fruits the floats use the parade will be [(6 * f) = (6f)]

To learn more about Algebraic Expressions, click on the link below.

https://brainly.com/question/19245500

#SPJ9

Given

To find

Let the purchase value be P,

ATQ,

P -3 x 0.1P = Rs 43,740

P-0.3P = Rs 43,740

0.7P = Rs 43,740

P = Rs 43,740/0.7

P = Rs 62,486 (approx)

Hence, the purchase value of the machine would be Rs 62,486

To write the given equation in logarithmic form, we can use the definition of logarithms. The equation 10^m = w can be rewritten as a logarithm with base 10: log10(w) = m

The general relationship between exponents and logarithms is as follows:

base^(exponent) = result

In logarithmic form, it's written as:

log_base(result) = exponent

For our given equation, 10^m = w, we have:

base = 10

exponent = m

result = w

Applying the general logarithmic relationship, we write:

log10(w) = m

Read more on logarithmic form here:https://brainly.com/question/29790763

#SPJ1

Answer:

256x^8

Step-by-step explanation:

Apologies, but your questions seem to have errors and incomplete information.

For the first question about Jessica and Melissa sharing 12 pieces of dried pears, it is unclear how much Jessica ate as the fraction is missing. Similarly, information about how many pears Melissa ate is also missing. To answer the question accurately, I need the missing information.

For the second question about the children playing in the park, you mentioned that one-third of the children returned home, but you didn't provide the total number of children initially in the park. Without that information, I cannot determine how many children stayed in the park.

Please provide complete and accurate information for a precise answer.

Using the together rate, it will take more 3.45 days to complete the work.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

The together rate is given by the sum of each separate rate.

For this problem, the rates are given as follows,

Ann,1/10 = 0.1

Ben,1/12 = 0.0833

Together,1/x

Hence the amount completed in 2 days is:

2 x (0.1 + 0.0833) = 0.3666

The amount it would take them to complete 100% of the project working together is found by the together rate as follows,

x = 60/11

x = 5.45 days.

The time it would take to do the remaining 100 - 36.66 = 63.34% of the project is,

0.6334 x 5.45 = 3.45 days.

It will take more 3.45 days to complete the work.

to learn more about the together rate visit:

brainly.com/question/26555709

#SPJ9

Answer:

can we see the graph?

Step-by-step explanation: