Car decreased in price by 3%. Original price is $45600. New Price= A x original price

Answer:

The product of polynomial \((-2m^3+3m^2-m)(4m^2+m-5)\) is \(\mathbf{-8m^5+10m^4+9m^3-16m^2+5m}\)

Step-by-step explanation:

We need to find the standard form of polynomial that represents the product of \((-2m^3+3m^2-m)(4m^2+m-5)\)

Finding the product of polynomial

\((-2m^3+3m^2-m)(4m^2+m-5)\\=-2m^3(4m^2+m-5)+3m^2(4m^2+m-5)-m(4m^2+m-5)\\=-8m^5-2m^4+10m^3+12m^4+3m^3-15m^2-4m^3-m^2+5m\\Combining\:like\:terms\\=-8m^5-2m^4+12m^4+10m^3+3m^3-4m^3-15m^2-m^2+5m\\=-8m^5+10m^4+9m^3-16m^2+5m\\\)

So, the product of polynomial \((-2m^3+3m^2-m)(4m^2+m-5)\) is \(\mathbf{-8m^5+10m^4+9m^3-16m^2+5m}\)

Given the frequency and number of possible outcomes, the number of days that must pass before it becomes probable that Janice will have had to pick up lunch at least once is 8.

Note that the probability of any of the staff at the office picking the food is 1/8.

Even if She does not pick up lunch on her first day or second, the number of days that must pass to make sure that Janice picks up lunch AT LEAST once is 1 in 8 days.

The formula to compute the probability of an event is equivalent to the ratio of favorable outputs to the total number of outputs. It is to be noted that probabilities always range between 0 and 1.

The expression is given as:

P (E) = f/O; where

P(E) is the Probability of an event E happening;

f =  The number of possible outcomes for an event (frequency)

n = Total number of outputs that are likely

Hence,

P(E) = 1/8

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Answer: b

Step-by-step explanation:

Using function concepts, it is found that an appropriate domain for the function is the set of whole numbers.

The equation for the cost of buying m magazines is:

\(c(m) = 45 + 3.75m\)

The input is the number of magazines bought, which is a discrete measure, assuming values of 0, 1, 2,... Thus, an appropriate domain is the set of whole numbers.

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Answer:

y=5/1x or y=5x

Step-by-step explanation:

Answer:

a

     The null hypothesis  is  \(H_o  :  \mu  = 180\)

      The alternative hypothesis is  \(H_a :  \mu  <  180\)

b

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

Step-by-step explanation:

From the question we are told that

     The population mean is  \(\mu  =  3 \  minutes =  180 \  seconds \)

     The sample  size is  n =  25

     The excel sheet is show on the first uploaded image

     The level of significance is  \(\alpha =  0.05\)

     The null hypothesis  is  \(H_o  :  \mu  = 180\)

      The alternative hypothesis is  \(H_a :  \mu  <  180\)

Generally the sample mean is mathematically represented as

        \(\= x  =  \frac{156 + 136 + \cdots  + 181}{25}\)

=>      \(\= x  = 173.2 \)

Generally the standard deviation is mathematically represented as

      \(\sigma  =  \sqrt{\frac{\sum  (x_i - \= x )^2 }{n} }\)

=>    \(\sigma  =  \sqrt{\frac{  (156 - 173.2 )^2 + (136 - 173.2 )^2  + \cdots + (181- 173.2 )^2  }{25} }\)

=>    \(\sigma  =  24.261\)

Generally the test statistics is mathematically represented as

      \(t =  \frac{\= x  -  \mu }{\frac{\sigma}{\sqrt{n} } }\)

=>   \(t =  \frac{173.2 -  180 }{\frac{24.261}{\sqrt{25} } }\)

=>   \( z = -1.40\)    

Generally p-value is mathematically represented as

  \(p-value  =  P(Z <  z)\)

=>  \(p-value  =  P(Z < -1.40)\)

From the z-table  

   \(P(Z < -1.40) =  0.080757\)

=>   \(p-value  = 0.080757 \)

From the obtained value we that  \(p-value >  \alpha\)

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

Answer:

y = -3x + 5

Step-by-step explanation:

Since the line is parallel, we know that the slope of our line must be equal to the one given.

The given equation is:

y = -3x + 4

and thus, it has a slope of -3

As such, our unknown equation...

y = kx + m

...must have the same k-value, or the same slope, of -3.

y = -3x + m

Now we just need to find m. We know that our line passes through the point (2, -1), or in other words, when x = 2, y = -1

We can put these values for x and y into our equation.

y = -3x + m

-1 = -3 * 2 + m

-1 = -6 + m

Adding 6 to both sides:

5 = m

m = 5

Putting m = 5 into our equation:

y = -3x + m

y = -3x + 5

..we find that our equation is

y = -3x + 5

The required equation of a line is y = -3x + 5 that passes through (2,-1) and is parallel to y = -3x + 4.

The slope of the line is defined as the gradient of the line.

The given equation is:

y = -3x + 4

And, it has a slope of -3

We know that the slope of our line must be equal to the one given because the line is parallel.

y = mx + c

Here the same slope, of -3, so m = -3

y = -3x + c ....(i)

The required line passes through point (2, -1),

Substitute the values of x = 2, and y = -1 in equation  (i), and solve for c

y = -3x + c

-1 = -3(2) + c

-1 = -6 + c

Add 6 to both sides of the equation,

5 = c

c = 5

Substitute the values of c = 5 = 2 in equation  (i),

y = -3x + 5

Thus, the required equation of a line is y = -3x + 5 that passes through (2,-1) and is parallel to y = -3x + 4.

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Answer:

There's only one solution x = 2

Thr solution x = 1 is an extraneous solution.

Step-by-step explanation:

\( \frac{1}{x - 1} + \frac{2}{x} = \frac{x}{x - 1} \\ \frac{2}{x} = \frac{x}{x - 1} - \frac{1}{x - 1} \\ \frac{2}{x} = \frac{x - 1}{x - 1} \\ \frac{2}{x} = 1 \\ 2 = x\)

Answer:

There is only one solution: x = 2.

The solution x = 1 is an extraneous solution.

Step-by-step explanation:

I hope this helps :)

9514 1404 393

Answer:

  ∠N

Step-by-step explanation:

J is the first letter listed in the left side of the similarity statement. The corresponding angle is the first letter listed in the right side of the similarity statement: ∠N.

__

Corresponding angles are listed in the same order. The similarity statement means ...

  ∠J≅∠N

  ∠K≅∠O

  ∠L≅∠P

Answer:

<J = <N

Step-by-step explanation:

JKL = NOP

We know the angles match

<J = <N

<K = <O

< L = <P

And we know

JK = NO

KL =  OP

JL = NP

Answer:

12 weeks because 12weeks*$10 is $120 total.

Step-by-step explanation:

you didn't post a pic of the graph so this is my best guess.

Answer:

81%

Step-by-step explanation:

P (Defective item) = 10% , P (Defective identified) = 90% of defective = 90% of 10% = 9%

P (Non defective item) = 1 - 10% = 90% , P (Non defective identified) = 80% of non defective = 80% of 90% = 72%

Prob (Scanner identifies correctly) = Pr (non defective mentioned non defective) & Pr (defective mentioned defective)

= 9% + 72% = 81%

Answer: 8

Step-by-step explanation:

      We see that each term is 5 less than the previous one. We will subtract 5 from 13 to find the next term in the sequence.

                    13 - 5 = 8

The solution is, the percent of error, rounded to the nearest percent is 25%.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

now, we have to find the percent of error, rounded to the nearest percent.

so, we get,

Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

so, error = 750 - 600

              = 150

so, we get,

the percent of error = 150 * 100 / 600

                                 = 25%

Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.

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Answer:

Step-by-step explanation:

Let's just say this circle has value x.

x increases by 5%, or 0.05 of x.

x + 0.05x = 1.05x

1.05x now increases by 5% again:

1.05x + 0.05(1.05x) = 1.1025x

The total increase is equal to (1.1025-1)*100 = 10.25%

Hope this helps!

Answer:

5000

Step-by-step explanation:

Assuming they both work 365days

roughly 52 weeks

number of time sherry is paid per year = \(\frac{52}{2} = 26\)

because she is paid every two weeks

number of time donna is paid per year = \(4\)

because she is paid 4 times a year (quarterly)

let s =  amount sherry is paid biweekly

let d = amount donna is paid quarterly

\(s = \frac{26000}{26} = 1000\\\\d = \frac{26000}{4} = 6500\\\\difference = 65000 - 1000 = 5000\\\)

Answer:

5500

Step-by-step explanation:

Step-by-step explanation:

i think this is the answer if it's wrong I'm sorry

Answer:

I dont know the other homes but this one is $390 ( I think)

Step-by-step explanation:

4% of $375 is $15 so adding $15 on you would get $390.

I really hope this is right. And I hope this helped!

The guest will pay the amount of 15 dollars tax for the stay which is determined by the evaluation of 4% of $375.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that the 4% tax is charged to hotel guests. A single guest's stay at the hotel costs $375 before taxes.

We have to determine the evaluation of 4% of $375.

⇒ 4% of $375

4%  is expressed as 4/100 in fractional form

⇒ (4/100)(375)

4/100 is expressed as 0.04 in decimal form

⇒ (0.04)(375)

Apply the multiplication operation, and we get

⇒ 15

Therefore, the guest will pay the amount of 15 dollars tax for the stay.

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The surface areas are 110 in², 87.6 mm² and 49 m².

Given that are solid figure, we need to find the surface area of them,

1) Triangular prism = perimeter × length + 2 × base area

= (5 + 5 + 6) × 5 + 2(3×5) = 110 in²

2) Triangular pyramid = base area + perimeter × slant height / 2

= 1/2 × 5.2 × 6 + 3 × 6 × 8/2

= 87.6 mm²

3) Cube = 4side²

= 4 × (3 1/2)²

= 4 × 3.5²

= 49 m²

Hence the surface areas are 110 in², 87.6 mm² and 49 m².

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The rational function graphed in this problem is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:

x= -4 and x = 1.

Hence the denominator of the function is given as follows:

(x + 4)(x - 1).

The intercept is given as follows:

x = 0.

Hence the numerator is:

x.

Thus the function is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

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Answer:

it would be around 3 i think

Step-by-step explanation:

x = 6

Equilaterals are a type of triangle where all of the sides are congruent. The angles are also all equal.

Setting Up the Equation

As stated above, all of the sides are congruent. This means that the lines must be equal to which others. Since the sides are equal, we can set them equal to each other.

Now, we can substitute the expressions in the equation.

Solving the Equation

After we set up the equation, we can solve for x using the properties of equality. There are different orders in which this can be solved. So if you prefer to work in a different order, the answer should still be the same.

First, rewrite the equation

Next, add 33 to both sides

Then, subtract 7x from both sides

Finally, divide both sides 15

This gives us our final answer of 6.

Checking the Answer

If you wanted to, you can check your answer by plugging 6 into the original equation.

Then solve the equation

Since both sides are equal, the answer must be correct.

The logarithmic function f(x) = a·log₃(x - 4), passing through the points (13, 7), has the values;

5 a. The value of a is 3.5

b. Please find attached the graph of the function, f(x) = 3.5·log₃(x - 4), created with MS Excel

A logarithmic function is a function that contain and involves logarithm operation and it is the inverse of an exponential  function

The function is f(x) = a·log₃(x - 4),

x > 4 and a > 0

The coordinates of a point on the graph of the function, f is A(13, 7)

5 a. The value of a can be found by plugging in the value of (13, 7) = (x, f(x)), as follows

f(13) = 7 = a·log₃(13 - 4) = a·log₃9 = a·log₃3²

7 = a·log₃3²

7 = 2·a·log₃3 = 2·a·1 = 2·a

2·a = 7

a = 7 ÷ 2 = 3.5

a = 3.5

5 b. The coordinates of the x-intercept of the graph = (5, 0)

The equation of the function is;

f(x) = 3.5·log₃(x - 4)

A third point on the graph is given when f(x) = 14 as follows;

f(x) = 14 = 3.5·log₃(x - 4)

log₃(x - 4) = 14 ÷ 3.5 = 4

3⁴ = x - 4

x = 3⁴ + 4 = 85

Which gives the point, (85, 14)

Similarly, we have the point (31, 10.5), (7, 3.5)

Please find attached the graph of f(x) created with MS Excel

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Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

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The blank spaces in the statements area. S, R, and Q  are distinct points that are collinear: b. TX and QS are distinct lines that intersect. c. Point Y and line QS are coplanar. d. Another name for plane P is: plane QSY.

Points that lie on the same straight line are collinear points.

If two lines are lie on the same plane, they are referred to as coplanar lines.

(a.) S, R, and Q are on a straight line. Therefore S, R, and Q  are distinct points that are collinear.

b. TX and QS are distinct lines that intersect.

c. Point Y and line QS are on the same plane. Therefore:

Point Y and line QS are coplanar.

d. Another name for plane P is: plane QSY.

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Angles and lines come in many distinct varieties in geometry.

Geometry has several different kinds of lines and angles. The six different types of angles include reflex angle, complete angle, straight angle, acute angle, and obtuse angle. The various sorts of lines are transverse, parallel, perpendicular, vertical, horizontal, and vertical lines.

There are three ways to name an angle: by the vertex, by the angle's three points (the middle point must be the vertex), or by a letter or number put inside the angle's aperture.

You can create your address block for letters, envelopes, and other mail merges using Label Lines, a collection of fields. Use Label Lines rather of Acknowledgement, Company, and Address lines to skip blank lines in your labels and address blocks.

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The solutions for the equation are given by:

x = -4/9, x = 0.

The equation in this problem is given by:

\(-\frac{2}{x} = -\frac{10}{3x} - 3\)

We apply the least common factor on the right side, then:

\(-\frac{2}{x} = \frac{-10 - 9x}{3x}\)

Then we apply cross multiplication, hence:

-2(3x) = x(-10 - 9x)

-6x = -10x - 9x²

9x² + 4x = 0.

x(9x + 4) = 0

Then there are two solutions:

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The function g(x) is g(x)= (1/3x)^2

The complete question is in the image

From the graph in the image, we have:

f(x) = x^2

The function f(x) is stretched by a factor of 1/3 to form g(x).

This means that:

g(x) = f(1/3x)

So, we have:

g(x)= (1/3x)^2

Hence, the function g(x) is g(x)= (1/3x)^2

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Answer:

Step 1: Write your hypotheses and plan your research design

Step 2: Collect data from a sample

Step 3: Summarize your data with descriptive statistics

Step 4: Test hypotheses or make estimates with inferential statistics

Step 5: Interpret your results

Step-by-step explanation:

Answer:

Graph B on Edg

Step-by-step explanation:

Starts at 4 goes down to 2 then back up to 4