Stores often mark up items each year to cover inflation.
Last year, a CD at Juan's Tunes cost $12.95. This year,
the cost was marked up 8%. The store also gave anyone
who bought four CDs this
year a 10% discount. Explain
the steps to find the final cost for the four CDs this year.

The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.

The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.

The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.

Therefore, the probability of the friend being between 10 and 30 minutes late is:

P(10 < x < 30) = (height of rectangle) x (width of rectangle)

= (1/30) x 20

= 2/3

≈ 0.6667

So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

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Therefore , the solution of the given problem of equation comes out to be  rounded to three decimal places, is 17.483 grams.

Variable words are commonly used in complex algorithms to show consistency between two contradictory claims. Academic expressions called equations are used to show the equality of various academic numbers. Think about the information that y + 7 provides. When accompanied by generate y + 7, increasing results in b + 7 in this case rather than another method that could split 12 into two separate components.

Here,

We must enter t = 110 into the equation for y and solve for y in order to determine how much of the original mass is still present after 110 years:

=> y = 20(1 - 2^(-t/30))

=> y = 20(1 - 2^(-110/30))

=> y ≈ 2.517

As a result, there are roughly 2.517 grams of cesium-137 left after 110 years. We can deduct this amount from the original mass of 20 grams to determine how much of the initial mass is still present:

=> 20 - 2.517 ≈ 17.483

Thus, roughly 17.483 grams of the original 20 grams of cesium-137 are still present after 110 years.

The number, rounded to three decimal places, is 17.483 grams.

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Answer:

17408 feet

Step-by-step explanation:

34 * 512 = 17408

Fraction?

Answer:

the bigger is 0.5

Step-by-step explanation:

hope it's helpful thanks

brainlest po

Answer:

Its equal

Step-by-step explanation:

17/34 is 0.5

so 0.5=0.5

Answer:

x = 20, y = -3

Step-by-step explanation:

Set both equations equal to each other

\(\displaystyle y=\frac{3}{5}x-15\\\\y=-\frac{3}{4}x+12\\\\\\\\\frac{3}{5}x-15=-\frac{3}{4}x+12\\\\\frac{12}{20}x-15=-\frac{15}{20}x+12\\\\\frac{27}{20}x-15=12\\\\\frac{27}{20}x=27\\\\x=20\\\\y=\frac{3}{5}x-15\\\\y=\frac{3}{5}(20)-15\\\\y=\frac{60}{5}-15\\\\y=12-15\\\\y=-3\)

Answer:

18 ft

Step-by-step explanation:

6 ft + 3 ft + 6 ft + 3 ft = 18 ft

Answer:

18 ft

Step-by-step explanation:

if its 6 feet tall and 3 feet wide you add 6+6+3+3

Answer:

604800

Step-by-step explanation:

Answer:

no,  

(

1

,

0

)

is not an ordered pair of the function  

f

(

x

)

=

1

+

x

.

Step-by-step explanation:

Ordered pairs are usually written in the form  

(

x

,

y

)

by tradition.

so usingthe function,

f

(

x

)

=

1

+

x

we can rewrite it as,

y

=

1

+

x

any pair of x and y that satisfy this equation are solutions to the equation.

so subbing in  

(

1

,

0

)

,

0

=

1

+

(

1

)

0

=

2

which is not true so the point does not make the function true.

It might be easier to see graphically,

graph{1+x [-10, 10, -5, 5]}

any combination of x and y on this line make the equation true and as such are an ordered pair of the function.

Answer:

Step-by-step explanation:

Answer:

ABE bc its the same degree angle

Step-by-step explanation:

Answer:

C) angle BEF

Step-by-step explanation:

Vertical angles are angles opposite each other where two lines cross. BEF is opposite of DEH

Answer:

I think its associative property but I am not sure.

Step-by-step explanation:

The required final answers of mixed fractions are 665/48, 259/45, 6095 / 28, 67/10.

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.

This expression can be evaluated by converting the mixed fraction to improper fractions and then performing the arithmetic operations.

1. \(2\frac{1}{3} +5\frac{5}{16} + \frac{2}{7}\)

= 7/3 + 85/16 + 2/7

=  665/48.

2. \(9\frac{5}{9} - 3\frac{2}{5}\)

= 86/9 - 17/5

= 259/45.

3. \(16\frac{3}{7} *13\frac{1}{4}\)

= 115/7 * 53/4

= 6095 / 28

4. \(16\frac{3}{4}\) ÷ \(2\frac{1}{2}\)

= 67/4 ÷ 5/2

= 67/10

Thus, required answers are 665/48, 259/45, 6095 / 28, 67/10.

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Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Step 1: Subtract 7x from both sides.

8x−8−7x=7x−7x

x−8=0

Step 2: Add 8 to both sides.

x−8+8=0+8

x=8

HGD

-ghost

Answer:

hey, there is no attached photo. so I don't know how to help

I think it is <YTZ, because they are corresponding angles.

Answer:

AC = 377.19

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 5 = 33/AC

AC tan 5 = 33

AC = 33/ tan 5

AC = 377.19

Answer: b

Step-by-step explanation:i just took it right now and its b hope it helps aka the second one

Answer:

-3x/4 + 3

Step-by-step explanation:

slope of the given function is 4/3

so slope of the inverse function is \(-\frac{1}{\frac{4}{3}}}=-\frac{3}{4}\)

For the given function x = 0, y = 4

For the inverse function, y = 0, x = 4

Then the inverse function is

g(x) = (-3/4)*(x - 4) = -3x/4 + 3

The customer gets 5.66 hours of bike per dollar

At Hoffman's bike, it cost $17 to rent a bike for 3 hours

The number of hours gotten from the bike per dollar can be calculated as follows

17= 3
1= x

Cross multiply both sides

3x= 17

x= 17/3

x= 5.66

Hence it will cost the customer 5.66 hours to rent the bike for one dollar

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9514 1404 393

Answer:

  5) 112°

  6) 40°

Step-by-step explanation:

5) The angle E or ? is half the sum of the intercepted arcs:

  ? = (130° +94°)/2 = 112°

__

6) The angle D is half the difference of the intercepted arcs:

  ? = (135° -55°)/2 = 40°

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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By logarithm properties, the logarithmic equation 2 · ㏒ₐ (5 · x³) - (1 / 2) · ㏒ₐ (2 · x + 3) is equivalent to ㏒ₐ [(25 · x⁶) / √(2 · x + 3)]. (Correct choice: A)

In this problems we have a logarithmic equation that must be simplified by means of logarithm properties, all of them described below:

Logarithm of a product of two numbers

㏒ₙ (a · b) = ㏒ₙ a + ㏒ₙ b

Logarithm of a division of two numbers

㏒ₙ (a / b) = ㏒ₙ a - ㏒ₙ b

Logarithm of a power of a number

㏒ₙ aˣ = x · ㏒ₙ a

Now we proceed to reduce the logarithmic equation into a single expression:

2 · ㏒ₐ (5 · x³) - (1 / 2) · ㏒ₐ (2 · x + 3)

㏒ₐ (5 · x³)² - ㏒ₐ √(2 · x + 3)

㏒ₐ (25 · x⁶) - ㏒ₐ √(2 · x + 3)

㏒ₐ [(25 · x⁶) / √(2 · x + 3)]

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Answer:

Step-by-step explanation:

Let the number of games be x

Inequality:

Since there should be more than 0 left, another inequality for it:

So 13 < x < 15, which leaves us with 14

Answer:

30

Step-by-step explanation:

If the magazines and books together add up to a total of 60 books, then he bought 30 magazines and 30 books.

The equation of line H in fully simplified slope-intercept form is y = 15x + 10.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

First of all, we would find the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (40 - 10)/(2 - 0)

Slope (m) = 30/2

Slope (m) = 15.

At data point (0, 10) and a slope of 15, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 10 = 15(x - 0)

y = 15x + 10

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Step-by-step explanation:

We are given that in 2016, the aquarium had x fish, and in 2019, there were x3 fish. We also know that in 2019, there were 512 fish. So we can set up the equation:

x3 = 512

To solve for x, we need to take the cube root of both sides of the equation:

x = ∛512

Using a calculator or simplifying by prime factorization, we can find that:

512 = 2^9

So,

∛512 = ∛2^9 = 2^3 = 8

Therefore, there were 8 fish in the aquarium in 2016.

Answer:

Let's use algebra to solve the problem. We can start by using the information given to set up an equation relating the number of fish in 2016 (x) to the number of fish in 2019 (x3):

x3 = 512

To solve for x, we can isolate x by dividing both sides of the equation by 3:

x = 512/3

x = 170.67 (rounded to two decimal places)

Therefore, there were approximately 170.67 fish in the aquarium in 2016. However, since we cannot have a fraction of a fish, we can round up to the nearest whole number to get the final answer:

x ≈ 171

So there were 171 fish in the aquarium in 2016.

Step-by-step explanation:

135 as a product of its prime factors is written as  3 × 3 x 3 x 5

The prime factors are those prime digits that can divide a particular digit evenly and without leaving any remainder. To put it differently, these are the main digits that, when multiplied with one another, result in the initial number.

In mathematics and number theory, prime factors hold significant value as they enhance comprehension of number properties and interconnections. In addition, they are utilized in a range of mathematical calculations and algorithms.

From the information given, we have the value as;

135

The prime factors are  3 × 3 x 3 x 5

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Answer:

x=2

Step-by-step explanation:

2x+4=8

2x+4-4=8-4

2x=4

2x/2=4/2

x=2

the coefficient of x is 1