The wholesale price for a desk is $195 A certain furniture store marks up the wholesale price by 30% . Find the price of the desk in the furniture store.

Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

Answer: (x > -3).

Step-by-step explanation:

To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:

4(1 - x) < 16

Distribute the 4:

4 - 4x < 16

Subtract 4 from both sides:

-4x < 12

Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:

x > -3

The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.

To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:

The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).

here's the graph for 4(1-x)<16

Answer: A

Step-by-step explanation:

Answer: x=3\(\sqrt{2\). y=3\(\sqrt{2\)

Step-by-step explanation: This is a 45-45-90 triangle. Both of the legs, x and y, are congruent. To find the length of the legs, divide 6, the hypotenuse, by \(\sqrt{2\). 6/\(\sqrt{2\)=3\(\sqrt{2\).

Answer:

Revenue: $46

Profit: $6

Answer:

4

Step-by-step explanation:

3(-5x-5) + 19x = _x - 15

-15x-15+19x = _x - 15

4x - 15 = _x - 15

It has to be the same on both sides so 4 would go in that blank.

Answer: 4

Step-by-step explanation:

Answer:

Answer is option  D

Step-by-step explanation:

Hope this helps:)

Answer:

\(\frac{1}{6}\) probability of drawing a 10 from a shuffled pinochle deck.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Total of 48 cards.

Of those, there are 2*4 = 8 cards that are 10. So

\(p = \frac{8}{48} = \frac{1}{6}\)

\(\frac{1}{6}\) probability of drawing a 10 from a shuffled pinochle deck.

By using the concept of dilation factor, length of BC obtained is 3 units

What is dilation factor?

Dilation is a transformation which changes the size of a figure by a certain factor.

That factor is called the scale factor

In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3

A'B'C'D' is the dilated figure

Length of B'C' = 9 units

Length of BC = \(9 \div 3\) = 3 units

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Complete Question

The figure has been attached here

Answer:

g(f(4)) = -3

Step-by-step explanation:

f(x)=x-7

g(x) = x

g(f(4))

f(4) = 4-7

f(4) = -3

g(-3) = -3

Let us explain the meaning of rational number

A rational number is any number you can put it as a fraction

Ex: 2, 3.5, 15/4, ..........

It can not be an approximated number like 1.23435...... which means can not be exact number

Let us look to the choices to see which number can not be a rational number

2 + 2 = 4 it is rational number

5 + 2.7 = 7.7 it is rational number

it is also a rational number

what about 10 + 0.998987.....?

Since 0.998987..... is not an exact number it is an approximated number

So 10 + 0.998987.... is not a rational number

The counterexample is the third choice

The ball's height y at time t is

y = (22.1 m/s) t - 1/2 gt ²

where g = 9.80 m/s² is the magnitude of the acceleration due to gravity.

Solve for t when y = 10 m:

10 m = (22.1 m/s) t - 1/2 gt ²

→   t = 0.510 s or t = 4.00 s

The first time refers to when the ball first reaches 10 m on its way up, so t = 4.00 s and the answer is A.

Answer:

1.99%. (2% rounded)

Step-by-step explanation:

The total number of ways to select 4 children out of 40 is given by the combination formula:

C(40,4) = 40! / (4! * (40-4)!) = 91,390

The number of ways to select 4 girls out of 16 is given by the combination formula as well:

C(16,4) = 16! / (4! * (16-4)!) = 1,820

Therefore, the probability of selecting 4 girls out of the group of 40 children is:

P(4 girls) = C(16,4) / C(40,4) = 1,820 / 91,390 ≈ 0.0199 or 1.99%

So the probability that all 4 helpers will be girls is approximately 1.99%

Hope this helps!.

Answer:

The z-test statistic for this hypothesis test is \(z = 4.33\)

Step-by-step explanation:

Proportion in 2000:

10 of the 50 men were obese, so:

\(p = \frac{10}{50} = 0.2\)

Test if it has increased:

At the null hypothesis, we test if the prevalence of obesity has not increased, that is, the proportion is of 0.2 or less, so:

\(H_0: p \leq 0.2\)

At the alternative hypothesis, we test if this prevalence has increased, that is, the proportion is above 0.2. So

\(H_1: p > 0.2\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

0.2 is tested at the null hypothesis:

This means that \(\mu = 0.2, \sigma = \sqrt{0.2(1-0.2)} = 0.4\)

30 out of the 75 men from 2010 were assigned as obese.

This means that \(n = 75, X = \frac{30}{75} = 0.4\)

Value of the z-test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{0.4 - 0.2}{\frac{0.4}{\sqrt{75}}}\)

\(z = 4.33\)

The z-test statistic for this hypothesis test is \(z = 4.33\)

Answer:

O

Step-by-step explanation:

THIS IS ASSUMING THAT THE RADIUS OF THE CIRCLE IS 4 1/4 UNITS!

Answer:

Standard Equation: (x + 5)^2 + (y+5)^2 = 18.06

General Form: x^2 + 10x + y^2 + 10y + 31.94 = 0

The essays that she can review in 1 hour would be; 2 2/3.

A fraction represents a part of a number or any number of equal parts.

We are given that English teacher reviewed 2 /3 of an essay in 1/ 4 of an hour.

Thus, Fraction of the essay reviewed = 2/3

Amount of time used = 1/4

Therefore, the fraction of essay for an hour can be calculated as;

= Fraction of the essay reviewed / Amount of time used

= 2/3 ÷ 1/4

= 2/3 × 4

= 8/3

= 2 2/3

Hence, She will review 2 2/3 essay.

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Answer: Should be 275%

Step-by-step explanation:

Given statement solution is :-  For the third week of April, Patricia's:

Regular pay amount is $476.

Overtime pay is $231.45.

Gross pay is $707.45.

To calculate Patricia's pay for the third week of April, we'll need to determine her regular pay, overtime pay, and gross pay.

Regular Pay:

Patricia worked 53 hours, but only 40 hours are considered regular hours. Therefore, the regular pay is calculated as follows:

Regular Pay = Regular Hours x Hourly Rate

Regular Pay = 40 hours x $11.90/hour

Regular Pay = $476

Overtime Pay:

Since Patricia worked 53 hours in total and 40 of those are regular hours, the remaining 13 hours are considered overtime hours. Overtime pay is calculated by multiplying the overtime hours by 1.5 times the hourly rate.

Overtime Pay = Overtime Hours x (Hourly Rate x 1.5)

Overtime Pay = 13 hours x ($11.90/hour x 1.5)

Overtime Pay = 13 hours x $17.85/hour

Overtime Pay = $231.45

Gross Pay:

Gross Pay is the sum of Regular Pay and Overtime Pay.

Gross Pay = Regular Pay + Overtime Pay

Gross Pay = $476 + $231.45

Gross Pay = $707.45

Therefore, for the third week of April, Patricia's:

Regular pay amount is $476.

Overtime pay is $231.45.

Gross pay is $707.45.

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The graph for the function y = ∛(x-1)-2 is attached below.

To find points and graph the function y = ∛(x-1)-2, we can follow these steps:

Let's calculate the points for the function y = ∛(x-1)-2 using the selected x-values:

x = -5: y = ∛(-5-1)-2 ≈ ∛(-6)-2 ≈ -2.72

x = -4: y = ∛(-4-1)-2 ≈ ∛(-5)-2 ≈ -2.58

x = -3: y = ∛(-3-1)-2 ≈ ∛(-4)-2 ≈ -2.44

x = -2: y = ∛(-2-1)-2 ≈ ∛(-3)-2 ≈ -2.29

x = -1: y = ∛(-1-1)-2 ≈ ∛(-2)-2 ≈ -2.15

x = 0: y = ∛(0-1)-2 ≈ ∛(-1)-2 ≈ -2.00

x = 1: y = ∛(1-1)-2 ≈ ∛(0)-2 ≈ -2.00

x = 2: y = ∛(2-1)-2 ≈ ∛(1)-2 ≈ -1.85

x = 3: y = ∛(3-1)-2 ≈ ∛(2)-2 ≈ -1.71

x = 4: y = ∛(4-1)-2 ≈ ∛(3)-2 ≈ -1.57

x = 5: y = ∛(5-1)-2 ≈ ∛(4)-2 ≈ -1.43

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Answer:

(0 , 4)

Step-by-step explanation:

The Y-intercept is when a line crosses sector y at any point. This means x will be zero. Simply to find the y-intercept from this quadratic function, just look at where the line crosses the y-line.

This clearly passes at (0,4), therefore (0,4) is the y-intercept.

Answer:

c=15

d=9

b=7

a=23

Step-by-step explanation:

all rows, diagonals, and columns= 48

correct me if im wrong

Answer:

a=23

b=7

c=15

d=9

Step-by-step explanation:

first, we can see that the sum of a row, column, or diagonal is 48, because we can add the diagonal consisting of numbers 8, 16, and 24.

Next, we can find a:

8+17+a=48

a= 23

Then find b:

17+b+24=48

b=7

now find the middle column:

23+16+d=48, remember that a is 23

d=9

finally, we can find c:

8+25+c=48

or

9+24+c=48

both give c=15 as the answer

Let:

Substitute into the equation:

The factors of -20 that sum to 1 are -4 and 5, so:

Split into 2 equations:

Substitute back for:

For (1):

For (2):

The solutions are:

Answer:

C.  (-3 , -2)

Step-by-step explanation:I double checked on math.way

Hope this helps

Answer: Changing the radius of an object by a given amount has a greater effect on the volume than changing the height by the same amount. The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. If we change the radius by a given amount, say x, the new radius would be r+x. Hence, the new volume would be V' = π(r+x)²h = π(r²+2rx+x²)h = V + 2πrxh + πx²h. We can see that the volume change equals 2πrxh + πx²h. The first term is proportional to both the radius and the height, whereas the second term is proportional to the square of the radius and the height. Assuming that the height change is also x, the new volume would be V'' = πr²(h+x) = V + πr²x. We can see that the volume change is proportional to the radius squared and the change in height. Therefore, changing the radius by a given amount has a greater effect on the volume than changing the height by the same amount.

The solution to find the five number summary shown below.

When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values.

To find a five number summary we have follow:

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Answer:

595.

Step-by-step explanation:

Take $2000 and subtract $810 from it. You now have the total of the two pieces of equipment without the extra pricing. You should get $1,190. Then divide that number by 2. You will get $595.

1st Piece of Equipment = $595

2nd Piece of Equipment = $1,405

2nd Piece is $810 more expensive and the two pieces combined is $2,000.

The perimeter of the equilateral triangle will be 27x - 48.

It should be noted that the perimeter of an equilateral triangle is the addition of all its sides or multiplying by three since they're equal.

Therefore, the perimeter of the equilateral triangle will be:

= 3(9x - 16)

= 27x - 48

Therefore, the perimeter of the equilateral triangle will be 27x - 48.

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Find the perimeter of the equilateral triangle.

9x - 16

Around 0.000125 or 0.0125% of the time, the song will be played exactly six out of seven days.

Every day represents a trial in this binomial probability issue, and there are only two potential results:

either the music is played (a success), or it is not (failure). We're looking for the likelihood that exactly 6 out of 7 trials will be successful.

The likelihood of success (performing the song) is 1/6, while the likelihood of failure (not playing the song) is 1 - 1/6 = 5/6, on any given day.

We can use the binomial probability formula to find the probability of exactly 6 successes in 7 trials:

P(6 successes) = (7 choose 6) * (1/6)⁶ * (5/6)¹

where (7 choose 6) is the number of ways to choose 6 days out of 7 to play the song, and is calculated as:

(7 choose 6) = 7! / (6! * 1!) = 7

Plugging in the values, we get:

P(6 successes) = 7 * (1/6)⁶ * (5/6)¹

P(6 successes) ≈0.00012502

Therefore, the probability that the song will be played on exactly 6 days out of 7 is approximately 0.000125 or 0.0125%.

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