A music club charges an initial joining fee of $24.00. The cost per CD is $8.50. The graph shows the cost of belonging to the club as a function of CDs purchased. How will the graph change if the cost per CD goes up by $1.00.? (The new function is shown by the dotted line.)

Given :

The table show a proportional relationship between the number of pounds and the total cost

so,

Andrew constructed a triangle such that the measurements of angles m<1 and m<2 are congruent.

The above statement can be inferred from concept of congruency of triangles. The oppsoite sides of the two congruent angles in a traingles are also equal.

From the above statement we can deduce the type of a triangle that Andrew drew as follows:

An isoceles triangle has two equal sides and angles i.e congruent sides and interior angles. Hence,

The following information is given for the third interior angle m<3 of the isoceles triangle:

We need determine the angle measure of the angle 1. Recall that the sum of interior angles of a triangle is given as follows:

Substitute Eq1 into Eq2 as follows:

Substitute the angle measurement of angle ( 3 ) in the expression above and solve for angle ( 1 ) as follows:

Answer:

9√3 converted is 15.58845727

The expression is given as,

Note that the denominator of both the fractions are prime numbers. So their lowest common multiple, LCM(2,3) will be the product of the numbers,

In decimal form this is equal to -17.22.

Our required probability is 99.82% or a 100%

%, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. percentage.

Percentages. The use of percentages to express statistics is one of the most popular. The word "percent" simply refers to "per hundred," and the sign for percentage is %. By dividing the whole or whole number by 100, one percent (or 1%) is equal to one hundredth of the total or whole.

Given that P(operational infection occurs at a 3% rate)

P(operational repair failures) = 17%

P(infection and failure happen simultaneously) = 2%

The first thing we'll discover is that P(infection or failure) is given by 0.03 + 0.17 - 0.02 = 0.18 = 0.18%.

Therefore, the probability that these procedures will be successful and infection-free is given by 100 - 0.18 = 99.82%.

Consequently, 99.82% of a probability is needed.

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The amount of fiber in the banana is 2.9 grams of fiber.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

From the. information, she has raisin bran cereal, which contains 3.8 grams of fiber and in all, Leslie eats 6.7 grams of fiber at breakfast.

Let the fiber in banana be b. This will be illustrated as:

b + 3.8 = 6.7

Collect like terms

b = 6.7 - 3.8

b.= 2.9

The fiber is 2.9 grams

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We know that 1+i is a root of the polynimial. This also implies that 1-i is also a root of the polynomial. In other words, the term

is a factor of our polynomial. This last expression can be written as

so, in order to find the remaining zero, we can compute the following division of polynomials,

which gives

Therefore, the remaining root is x=1.

In summary, the answer is:

EXPLANATION

Since we have the function:

Graphing this an the transformation into a graph calculator we have:

We can see that the transformated function is translated 2 units to the right, and that It is also translated 4 units down.

Thus, the transformations are the following:

g(x) is the graph of f(x) translated 2 units to the right and 4 units down.

For this problem we have the following two numbers

Let's convert the two numbers with scientific notation

Now we just need to find a number between the two given we know that:

The final answer for this case would be any number between these two numbers and it could be:

also it could be:

Or any number between the two given

Answer:

The answer is B,D, And F

Step-by-step explanation:

7.1 × 103 = 7,100

7.1 × 105 = 710,000

Because 7,100 < 710,000 < 71,000,000 then 7.1 × 105 falls between 7.1 × 103 and 71,000,000

The point-slope form of a line is:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope.

Replacing with m = 1 and the point (4, -3):

y - (-3) = 1(x - 4)

y + 3 = x - 4

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

12, 20, 18, 25 , 6

range = ?

We must order the data.

Step 02:

6 , 12 , 18 , 20 , 25

Range = 25 - 6 = 19

The answer is:

The range is 19

The rate of yen per Indian rupee is 1.6

How do you convert currency to another currency?

Divide your current currency by the exchange rate if you are aware of it.

Assume, for instance, that you want to change 100 USD into EUR and the USD/EUR exchange rate is 0.631. Simply multiply 100 by 0.631 to do this, and the result is 63.10 EUR, which is the amount you will receive.

Given, 2000 Yen = 16 Euros

and, 40 Euros = 3,125 Indian Rupees

Find rate of yen per India rupee

1 Euro = 2000/16

1 Euro = 125 yen

And, 1 Euro = 3125/40

1 Euro =  78.125 India rupee

Now, find 1 yen = ? Indian rupee

we know,  1 Euro = 125 yen and 1 Euro =  78.125 India rupee

put the values of euro in India rupee in 1 Euro = 125 yen, we get

78.125 India rupee  = 125 yen

1 India rupee = 125 / 78.125

1 Indian rupee = 1.6 Yen

Therefore, the rate of yen per Indian rupee is 1.6

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The general equation of a line is:

y = mx + b

Here, y refers to how far up and x refers to how far along.

m is slop, that is the change in y to the change in x

and b is y intercept or the point where the value of x is zero.

So,

The given equation is:

5x - y = -5

The simplest step is to map the given equation with the standard equation (y = mx + b).

So,

- y = -5 -5x

Multiplying both sides by -1, we get

y = 5 + 5x

or

y = 5x + 5

Now, if we map this form with the standard equation (y = mx + b), we get

m = 5 and b = 5

Therefore, the slope (m) is equal to 5.

Also, y-intercept (b) is equal to 5.

The given conditions are true:

law of contrapositive​

​

The exponential growth formula:

Given:

Therefore,

Hence, the answer is

Given data:

The first side of the triangle is p=13 inches.

The second side of the triangle is q=18 inches.

The third side of the triangle is r= 12 inches.

The semi-perimeter is,

The expression for the area of the triangle is,

Thus, the area of the given triangle is 77.95 sq-inches.

The total number of toys sold if the daily sales of the toy is $6.50 is 2750 toys.

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The independent values are known as the domain while the dependent are the codomain.

Given the function that represents the price-sales relationship for number of toys as;

y = 6000 - 500x

If the daily sales of the toy is $6.50, the total toys sold will be:

y = 6000 - 500 (6.50)

y = 6000 - 3250

y = 2750 toys

This gives the total number of toys sold.

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1.27 x 10^3

10^3 is 1000

1.27 x 10^3 = 1.27 x 1000 = 1270

Answer:

1270

Given the algebraic expression below

The first term of the algebraic expression is

The first term "7s" is a variable term.

The variable of the first term is "s"

The coefficient of the variable term is 7

Answer:

Step-by-step explanation:

Use the order of operations.

PEMDAS stands for:

Do exponents first.

[tex]\sf{y^3=-125}[/tex]

[tex]\sf{x=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\dfrac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\dfrac{-1+\sqrt{3}i}{2}}}[/tex]

[tex]\rightarrow \sf{y=\sqrt[3]{-125},\:y=\sqrt[3]{-125}\dfrac{-1+\sqrt{3}i}{2},\:y=\sqrt[3]{-125}\dfrac{-1-\sqrt{3}i}{2}}[/tex]

[tex]\sf{\sqrt[3]{-125}=\boxed{\sf{-5}}}[/tex]

Therefore, the correct answer is y=-5.

I hope this helps, let me know if you have any questions.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{y^3 = -125}[/tex]

[tex]\large\text{Solve/take the cube root}[/tex]

[tex]\mathsf{(-125)^{^\dfrac{1}{3}}}\mathsf{ = y}[/tex]

[tex]\mathsf{y = (-125)^{^\dfrac{1}{3}}}[/tex]

[tex]\large\text{Simplify it}[/tex]

[tex]\mathsf{y = -5}[/tex]

[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{y = -5\ (\rm \bold{O}ption\ A.)}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

Explanation:

Here, we want to find the length of the legs of the right triangle given the area and the length of the hypotenuse

We have the sketch of the triangle as shown below:

According to Pythagoras' the square of the length of the hypotenuse equals the sum of the squares of the length of the two other sides

Thus, mathematically:

Mathematically, we have the area calculated as:

Now, we have two equations to solve simultaneously

Substitute equation ii into i

We have that as:

The right triangle formed is shown below

From the diagram,

x represents the side of the square. Recall that a square has equal sides

To find x, we would apply the pythagorean theorem which is expressed as

hypotenuse^2 = one leg^2 + other leg^2

From the diagram,

hypotenuse = 16

one leg = other leg = x

By substituting these values into the formula,

16^2 = x^2 + x^2

16^2 = 2x^2

256 = 2x^2

Dividing both sides by 2,

2x^2/2 = 256/2

x^2 = 128

Taking square root of both sides, we have

The correct option is 8√2 in

Answer:

Σmf = 23347

Σm²f = 1621631

(Σmf)² = 545082409

Explanation:

The symbol Σ means that we need to sum all the products of m and f.

So, Σmf is equal to:

Σmf =76(94) + 37(92) + 27(63) + 98(62) + 62(81)

Σmf = 7144 + 3404 + 1701 + 6076 + 5022

Σmf = 23347

Then, to find Σm²f, we need to find the square of m, so:

Σm²f = (76)²(94) + (37)²(92) + (27)²(63) + (98)²(62) + (62)²(81)

Σm²f = 5776(94) + 1360(92) + 729(63) + 9604(62) + 3844(81)

Σm²f = 542944 + 125948 + 45927 + 595448 + 311364

Σm²f = 1621631

Finally, (Σmf)² is equal to:

(Σmf)² = (23347)²

(Σmf)² = 545082409

Therefore, the answers are:

Σmf = 23347

Σm²f = 1621631

(Σmf)² = 545082409

Let's analyze the statements to see which one is not true.

Statement F. The coffee shop company had opened 400 stores by the end of 1992.

The horizontal axis on the graph (the x-axis) represents the number of years that have passed since 1992, thus the year 1992 is at x=0 on the graph.

The vertical axis (the y-axis) represents the number of stores.

As we can see in the following diagram, the red point represents the number of stores at x=0 (at the year 1992):

it is true that the coffee shop had 400 stores by the end of 1992.

Statement G. The coffee shop opened 100 stores in 1 year.

To see if this is true, we look at x=1, which represents 1 year, and check for the number of stores corresponding to 1 year:

This point is at (1,500) --> After 1 year there were 500 stores.

Since they started with 400 stores, this means that it is true that they opened 100 stores in 1 year.

Statement H. Every year the number of stores the coffee company opened increased by 25%.

We can find if this is true just by looking at the form of the graph. This graph has an exponential curve which means that the growth increases at every step. Thus there is an increase in the coffee shop that they open every year. This statement is true.

Statement J. Since 1992 the coffee shop company has opened 250 stores each year.

As we saw with the previous statement, the number of shops opened every year is not constant, it increases with time. Thus, since they do not open the same amount of shops every year, this option the one that is not true.

Answer: Statement J

SOLUTION

Recall the z score formula:

The given values are

Therefore the score is:

Therefore the score is 0.6129 standard deviations away from the mean.

b. From the table, the required value is 0.729069

Hence the percentage is 72.9069%

Answer:

14400

Step-by-step explanation:

You have the following equation:

5x - 3y = -45

In order to solve the previous equation for y, you proceed as follow:

5x - 3y = -45 subtract 5x both sides

- 3y = -45 - 5x multiply by -1 both sides

(-1)(-3y) = (-1)(-45 - 5x)

3y = 45 + 5x divide by 3 both sides

y = 45/3 + 5/3 x order the right side

y = 5/3 x + 15

Hence, the solution for y is y = 5/3 x + 15

Number of sandwiches = 80p

Given:

Laura produces 80 sandwiches per day

To find:

The number of sandwiches that will be produced in p days

1 day = 80 sandwiches

p days = 80 × p

p days = 80p

This means that she will produce 80p number of sandwiches in p days

The probability of success (a hit) is given by:

p = 0.341

The complement (a failure) of this probability is:

q = 1 - 0.341 = 0.659

Then, we can construct a probability distribution for the first hit until his nth at-bat:

For his 5th at-bat, we have n = 5, then: