The manufacturing cost of a cell phone was $146. Sellers first marked up 1
the cost by 20 percent. Sales were poor, so sellers decreased the markup to
15 percent. Calculate the old and new selling prices?.
selling price = original cost + markup
Old Selling Price: $185.80 New Selling Price: $177.90
Old Selling Price: $175.20 New Selling Price: $167.90
Old Selling Price: $235.90 New Selling Price: $189.80

Answer:

1,029

Step-by-step explanation:

The value of both domain and range of this exponential function is (−∞,∞).

y = 2x-9

The domain of the function can be defined as all real numbers except the ones where the expression is undefined. In the case of 2x-9, there is no real number for which this expression is undefined. Therefore, a domain of this exponential function is (−∞,∞).

The range of the function is defined as the set of all valid y values. In this case, all real numbers are valid values of y. Therefore, the range of this exponential function is (−∞,∞).

Therefore, domain of y = 2x-9 is (−∞,∞) and range is also (−∞,∞).

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Sampling with replacement is a type of sampling technique in which the same unit can be selected multiple times from the sample population.

This type of sampling is used when the size of the sample population is very large and it is not possible to select a unique unit from the population. The formula for sampling with replacement is nCr, where n is the population size and r is the sample size. For example, if the population size is 10 and the sample size is 3, then the total number of combinations would be 10C3 = 120. This means that 120 possible samples can be selected from the population, with each unit having an equal probability of being selected. Sampling with replacement is often used in statistical analysis to generate a representative sample of the population.

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Step-by-step explanation:

Find the spring constant  , k       k = 14 lb/2 in = 7 lb/ in

Use equation for work of a spring   w = 1/2 k x^2

w = 1/2  * 7  *  7 =  24.5 in lbs = 2.04 ft lbs

Answer:

57º

Step-by-step explanation:

A triangle equals 180º so to find x, just subtract the other angles from 180

180 - 39 - 84 = 57

Step-by-step explanation:

x+39+84=180 (being sum of angle of triangle is 180)

x+123=180

x=57

Answer:

Answer Below

Step-by-step explanation:

Number of sides=\(\frac{360}{72} \\\)

Number of sides = 5

Interior Angle of a polygon = 180° – Exterior angle of a polygon.

= 180°-72°=108°

Answer:

A ∪ B = [3, 9)

Step-by-step explanation:

Set X is 3, and all number greater than 3 up, but not including, 5.

Set Y is all numbers from 4 to 9, but not including 4 or 9.

The union of the sets is all numbers from 3 up to 9, including 3 but not including 9.
A ∪ B = [3, 9)

Answer:

it's easier the ramp because although it is steeper it is more of stable ground

Answer:

1. AE= 312

2. AC = 161

Step-by-step explanation:

Hey there!

In order to solve the first question, we need to think of possible "C" values

Then after finding the "C" value, we can then find the "A" and "E" values

So:

AC = 24 and CE = 13

What factors do 24 and 13 have in common?

Well, only 1 since 13 is a prime number]

So this means that C has to be 1

Now we know that A is 24 and E is 13

Now we have to multiply them together

24 x 13 is 312

So AE= 312

Now we go on to the second question

We can use the same strategy we used for number one

Instead of finding what C is, we need to find out what E is, since there is E in both of the statements

So:

CE = 7 and AE = 23

What common factors do these two numbers have?

Again, only 1, meaning that E can only be 1

Now we know that C is 7 and A is 23

Since we know this, we can multiply these two numbers together and get our final answer: 161

So AC = 161

\(\qquad \qquad \textit{combined proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with }\underline{z^5} \end{array} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}x}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\begin{array}{llll} \textit{"y" varies}\\ \textit{directly with "x"}\\ \textit{inversely with "z"} \end{array}\qquad y=\cfrac{kx}{z}\hspace{5em}\textit{we also know that} \begin{cases} x=10\\ z=4\\ y=15 \end{cases} \\\\\\ 15=\cfrac{k(10)}{4}\implies \cfrac{4}{10}\cdot 15=k\implies 6=k\hspace{8em}\boxed{y=\cfrac{6x}{z}} \\\\\\ \textit{when x = 20 and z = 6, what's "y"?}\qquad y=\cfrac{6(20)}{6}\implies y=20\)

Answer:

I think is 500 hope it helps

Answer:

0.35

Step-by-step explanation:

domain is R \ {-2,4}

To determine the value or values of the variable for which the expression (x-7)/(x^2 -2x-8) is defined, we need to find the values of x that would make the

denominator (x^2 -2x-8) non-zero

.

The expression is undefined when the denominator equals zero because division by zero is undefined in mathematics. So, our task is to find the values of x that make the denominator not equal to zero.

To do this, we can set the denominator equal to zero and solve for x.

Let's solve the quadratic equation x^2 -2x-8 = 0:

x^2 -2x-8 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula. In this case, factoring is the simplest method:

(x-4)(x+2) = 0

Setting each factor equal to zero gives us:

x-4 = 0 or x+2 = 0

Solving these equations gives us two possible values for x:

x = 4 or x = -2

Therefore, the expression (x-7)/(x^2 -2x-8) is not defined for x = 4 and x = -2.

It is important to note that these values should be excluded from the domain of the function.

So the

domain is R \ {-2,4}

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Answer:

2. 4(x-10) = 16

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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The forecast for t = 21 using the linear trend model is approximately y^ = 36.22

To forecast the value for t = 21 using the provided linear trend model. The linear trend model given is:

y^ = 13.54 + 1.08t

To make a forecast for t = 21, we'll plug in the value of t into the equation and solve for y^:

Insert the value of t into the equation:
y^ = 13.54 + 1.08(21)

Perform the multiplication:
y^ = 13.54 + 22.68

Add the numbers together:
y^ = 36.22

Therefore, the forecast for t = 21 using the linear trend model is approximately y^ = 36.22 (rounded to 2 decimal places).

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Answer:

Step-by-step explanation:

Answer:

5 cm

Step-by-step explanation:

The rectangle has a length (l) of 7 cm and a width (w) of 3 cm. Therefore, the perimeter of the rectangle is:

Perimeter of rectangle = 2(l + w) = 2(7 + 3) = 2(10) = 20 cm

Since the rectangle and the square has the same perimeter, Therefore, the perimeter of the square is:

Perimeter of square = 2(l + w). But the length and width of a square are the same (i.e l = w). Therefore:

Perimeter of square = 4l

20 = 4l

l = 20 / 4 = 5 cm

Each side of the square has a length of 5 cm

1/1 is the ratio of the volume of the pyramid to the volume of the prism.

What do you mean by prism?

A prism is a solid, three-dimensional object whose two ends are identical. It is a result of the elements of flat sides, similar bases, and equal cross-sections. The prism's faces are either parallelograms or rectangles without bases.

                               A prism is a homogeneous solid, angled-inclined, transparent, and refracting media that is surrounded by two flat surfaces. The typical prism comprises three rectangular surfaces, two parallel triangular faces, and two triangular faces. They are manufactured out of glass or another transparent material that has been precisely angled sliced.

the formula of the volume of pyramid =1/3*h*base

the volume of prism=base*h

we know that the height of pyramid is 3 times more than the height of prism so that if the height of prism is a ==> the volume of prism is a*base

the height of prism is 3a so that ==> the volume of pyramid is ==>1/3*3a*base  =a*base

The Answer of the ratio is 1/1

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The complete question is -

This pyramid has the same base as the prism, and its height is three times the height of the prism. What is the ratio of the volume of the pyramid to the volume of the prism?

As a result, angle Q is roughly 28.3 degrees in size.

A circle is a spherical form without corners or borders. A circle is a circular, curved object with two dimensions in mathematics.

Since the triangle is inscribed in a circle, we know that the angle opposite the side that is a diameter of the circle is a right angle, i.e., m∠P = 90 degrees.

Using the fact that the angles of a triangle sum to 180 degrees, we can write:

m∠R + m∠Q + m∠P = 180

Substituting the given values, we get:

(2x-5) + (x-10) + 90 = 180

Simplifying and solving for x, we get:

3x - 25 = 90

3x = 115

x = 38.33...

Now that we know x, we can find the measure of angle Q:

m∠Q = x - 10 = 38.33... - 10 = 28.33...

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Answer:

the answer is k= -12

Step-by-step explanation:

use x-5= 0

x=5

The given statement in the form of inequality is given as -

c - 6 > 24.

An inequality is used to make unequal comparisons between two or more expressions. For example → ax + b > c

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the statement as -

"Six subtracted from c is greater than 24"

We can write the inequality as -

c - 6 > 24

Therefore, the given statement in the form of inequality is given as -

c - 6 > 24.

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{Question in english -

Six subtracted from c is greater than 24}

The additive inverse of the polynomial is:

7y^(2) - x^(2)y + 3xy + 7x^(2)

The additive inverse of a number A is a number B such that:

A + B = 0

B = -A

Similarly for polynomials, to find the additive inverse, you just need to multiply it by -1.

Here the polynomial is:

-7y^(2) + x^(2)y - 3xy - 7x^(2)

Then the additive inverse is:

-1*(-7y^(2) + x^(2)y - 3xy - 7x^(2))

7y^(2) - x^(2)y + 3xy + 7x^(2)

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SOLUTI0N

Step 1 :

In this question, we are meant to find the range and standard deviation of the set of the data:

4, 7, 4, 7, 7, 9, 11

For the Range, we have that:

Step 2 :

For the Standard Deviation,

We have that :

So, we need to evaluate using the following process,

Next, we evaluate the following :

Variance =

=

Next, we have that :

Standard Deviation =

=

CONCLUSION:

The Range = 7 and the Standard Deviation = 2. 24

Answer:

-----------------

Find each area and then find their difference.

The difference is:

The number of degrees that the direction of the boat change when it made its first turn is 39°.

From the information given, we would use the cosine function to solve the information.

This will be:

18² = 28² + 25² - 2(28)(25)(cos x)

324 = 784 + 625 - 1400cosx

x = 39.19

Therefore, the value is 39°.

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The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

According to the statement

we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.

So, For this purpose, we know that the

The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.

And here

allele frequency is the 0.4 and represent the value of P.

So, The value of p is 0.4 and the

Then p^2 = (0.4)^2

so, the value becomes

p^2 = (0.4)^2

p^2 = 0.16.

So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

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