Ivy has borrowed 150 songs from her friend. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to download, y, for a certain number of weeks, x:

A graph titled Song Downloading shows Number of Weeks on x-axis and Number of Songs Left to Download on y-axis. The x-axis scale is shown from 0 to 5 at increments of 1, and the y-axis scale is shown from 0 to 210 at increments of 30. A straight line joins the ordered pairs 0, 150 and 1, 120 and 2, 90 and 3, 60 and 4, 30 and 5, 0.

Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work to find the rate of change and initial value. (6 points)
Part B: Write an equation in slope-intercept form to model the relationship between x and y. (4 points)

Answer:

The distance is 9 × 10¹⁰ m.

Step-by-step explanation:

Time (t) = 5 minute = 5 × 60s = 300 s

Now,

∴ Speed = Distance ÷ Time

∴ Distance = Speed × Time

d = 3 × 10⁸ × 300

d = 900 × 10⁸

d = 9 × 100 × 10⁸

d = 9 × 10¹⁰ m

Thus, The distance is 9 × 10¹⁰ m.

-TheUnknownScientist 72

The statement which must be true are Options B, C and D

which are the triangles have the same size and shape, the corresponding sides of the triangles are congruent and the corresponding angles of the triangles are congruent.

Congruent triangles are triangles that have corresponding sides, angles which are all equal in measure.

They can be rotated and turned to be look be identical.

Thus, the statement which must be true are Options B, C and D

which are the triangles have the same size and shape, the corresponding sides of the triangles are congruent and the corresponding angles of the triangles are congruent.

The complete question is

If two triangles are congruent which of the following statements must be true? CHECK ALL THAT APPLY

A. The triangles have the same size but not the same shape.

B. The triangles have the same size and shape

C. The corresponding sides of the triangles are congruent.

D. The corresponding angles of the triangles are congruent.

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Answer:

JL ⊥ KM

Step-by-step explanation:

JL ⊥ KM would make the quad a rhombus because JKLM is a parallelogram since opposite sides are congruent.  If the diagonals of a parallelogram are perpendicular, then the quad must be a rhombus.

JL must be perpendicular to KM because in a parallelogram if diagonals are perpendicular then the quadrilateral JKLM is a rhombus.

Given :

The following steps can be used in order to determine the correct statement that shows that JKLM is a rhombus:

Step 1 - Remember a quadrilateral has four sides and the sum of the interior angles of a quadrilateral is 360 degrees.

Step 2 - According to the given data, KL ≅ JM, JK ≅ LM, and KA ≅ MA.

Step 3 - So, to make JKLM a rhombus, JL must be perpendicular to KM because in a parallelogram if diagonals are perpendicular then the quadrilateral JKLM is a rhombus.

Therefore, the correct option is B).

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Answer:

1/12

Step-by-step explanation:

The reciprocal of any given x is 1/x. That makes the reciprocal of 12, 1/12.

Answer:

1/12

Step-by-step explanation:

12 is also written as 12/1, therefore to find the inverse of 12/1 the denominator now becomes the numerator and vice versa

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

in our case

9.3 × 3.5 / 2 = 16.275 ft²

as you can see, yes, really easy.

what was the problem ? do you need any further explanation ?

Answer:

No

Step-by-step explanation:

no you do not get the same answer

This is the order in which you should approach problems, doing otherwise may lead to a wrong answer

P - parenthesis -- meaning solve whatever is the the parenthesis

E - exponents -- an example of an exponent is \(2^{3}\) which equals 8

MD - multiplication/division

AS - addition / subtraction

for our particular problem, we have

9 + 2(3)

multiplication trumps addition thus we perform multiplication first

9 + 6 = 15 ---CORRECT

if we were to addition first we would get

9 + 2(3) = 11(3) = 33 This would be WRONG

note: multiplication and division are on the same level

         subtraction and addition are on the same level

if you encounter a problem like 4 ÷ 2 * 3. perform the calculation from left to right thus we would have 4 ÷ 2 = 2 and then 2 * 3 = 6

same applies for addition subtraction

Conservation of number, which is the understanding that the quantity of an object remains the same even if its appearance or arrangement changes.

Four-year-old Dimitri has not acquired the concept of conservation.

Conservation refers to the understanding that certain properties of objects, such as quantity, remain the same even when their appearance changes, as long as nothing is added or removed.

In this case,

Dimitri incorrectly believes that increasing the spacing between nickels in one row results in more nickels, failing to understand that the quantity remains the same.

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Assuming that the events of each executive receiving a pay raise are independent, we can use the multiplication rule for independent events to find the probability that all four received a raise.

Let's denote the event that an executive receives a raise by "R". Then, the probability that an executive receives a raise is P(R) = 0.78, and the probability that an executive does not receive a raise is P(not R) = 1 - P(R) = 0.22.

The probability that all four executives receive a raise is:

P(R and R and R and R) = P(R) x P(R) x P(R) x P(R)

= 0.78 x 0.78 x 0.78 x 0.78

= 0.37 or 0.0037 (rounded to 4 decimal places)

Therefore, the probability that all four executives received a raise when they asked for one is approximately 0.0037 or 0.37%.

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Equation to represent the relationship between a and b is b = -2a

On a number line, if a number b is located the same distance from 0 as another number a, but in the opposite direction, and the number b differs directly with the number a, it means that as a increases, b also increases, and as a decreases, b also decreases in the same manner.

To represent this relationship, we can use the equation b = -ka, where k is a constant of proportionality. Since b and a are in opposite directions, we include a negative sign in the equation.

To find the value of k, we can use the given example b = 8 when a = 4. Plugging these values into the equation, we get 8 = -k * 4. Solving for k, we divide both sides of the equation by -2, which gives us k = -2.

Therefore, the equation that represents the relationship between a and b is b = -2a.

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These two events are not mutually exclusive, but they are not independent.

To determine the relationship between the two events, "Owner has a Chevy" and "Owner's truck has four-wheel drive," it is necessary to analyze the information provided in the two-way table. Unfortunately, the table is not included in your question.

1. Mutually exclusive: Two events are mutually exclusive if the occurrence of one event excludes the occurrence of the other event. In other words, they cannot happen at the same time.

2. Independent: Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

After analyzing the two-way table, you should be able to determine if these events are mutually exclusive, independent, or neither.

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Answer:

8p=c

Step-by-step explanation:

The number of pounds Lamar buys multiplied by the cost of a pound which is 8 equals c. 8p=c

The solution to the system of equations is (x, y) = ±(√(4/5), 24/5) or ± (√(4/5), 20/5).

What is the system of equations?

A system of linear equations is a set of two or more equations that includes common variables. To solve a system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

The system of equations given is:

y = 6x²

y = x² + 4

To solve this system of equations, we need to find the values of x and y that satisfy both equations.

Setting the right-hand side of the two equations equal to each other, we get:

6x² = x² + 4

5x² = 4

x² = 4 / 5

x = ±√(4/5)

So, there are two possible values of x, which are positive and negative square roots of 4/5. For each of these values of x, we can use either equation to find the corresponding value of y:

y = 6x^2 = 6 * (4/5) = 24/5

y = x^2 + 4 = (4/5) + 4 = 16/5 + 4 = 20/5

So, the solution to the system of equations is:

(x, y) = ±(√(4/5), 24/5) or ± (√(4/5), 20/5)

This means that there are two points that satisfy both equations, one where x and y are positive, and one where x and y are negative.

Hence, the solution to the system of equations is:

(x, y) = ±(√(4/5), 24/5) or ± (√(4/5), 20/5).

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Answer:

The answer 4/7

Step-by-step explanation:

A K A H

4 letters in the word PRAKASH are made of 3 straight lines. That's why the fraction is 4/7.

In the word, 4/7 fraction of the letters is made up of 3 straight lines.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

In the word PRAKASH, there are 7 letters, In which 2 A's, 1 K, and 1 H is made up of 3 straight lines so (2 + 1 + 1) = 4.

∴ The fraction of the alphabet made up of three straight lines is,

= 4/7

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Step-by-step explanation:

he made the inference that the numbers on the top increase by five and that the numbers on the bottom...

wait, how did he get 11?

The total amount of money that was spent by Petra in the purchase of a pair of jeans and a T-shirt is equal to $34.79.

Given the following data:

To determine how much Petra spend:

In this exercise, you're required to calculate the total amount of money that was spent by Petra in the purchase of a pair of jeans and a T-shirt.

Hence, we would sum up the cost of each of the items to determine the total cost.

\(Total \;cost=Cost\;of\;jean + Cost\;of\;Tshirt\\\\Total \;cost=28.39+6.40\)

Total cost = $34.79

Complete Question:

Petra buys a pair of jeans for $28.39 and a T-shirt that costs $6.40. How much does Petra spend?​

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Answer:

1 : 25.

Step-by-step explanation:

24 : 600

= 24/24 : 600/24

= 1 : 25.

Answer:

i. The description is sufficient to describe all cases of a circle.

ii. The description includes only necessary information to describe a circle.

iii. The description is a mathematically precise definition of a circle.

Step-by-step explanation:

A circle can be described as a plane shape bounded by circumference. It's circumference can be determined by: 2\(\pi\)r, where r is its radius.

Thus, it can be said that it contains equidistant (equal distant) points from a common central point called the center of the circle. This definition can be used to describe any circle.

Some of its parts are: diameter, radius, sector, semicircle etc.

Answer:

A,B,C

Step-by-step explanation:

Answer:

True for all N

Step-by-step explanation:

Answer:

True for all N :)

Step-by-step explanation:

Given statement solution is :- The t-statistic associated with the test is approximately -0.28.

The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesised value relative to its standard error. Through the Student's t-test, it is utilised in hypothesis testing. In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.

To find the t-statistic associated with the test, we need to calculate the test statistic using the estimated slope coefficient, the null hypothesis, and the standard error.

The estimated slope coefficient is 4.93.

The null hypothesis is H₀: β₁ ≥ 5.14 (stating that the true slope coefficient is greater than or equal to 5.14).

The predicted slope's standard error is 0.74.

The formula to calculate the t-statistic is:

t = (estimated slope - hypothesized slope) / standard error

Plugging in the values:

t = (4.93 - 5.14) / 0.74

t = -0.21 / 0.74

t ≈ -0.28 (rounded to two decimal places)

Therefore, the t-statistic associated with the test is approximately -0.28.

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The probability of hitting the shaded ring, assuming you hit the board is 25%.

We have,

Shaded region area.

= πr²

= π x 5²

= 25π in²

Now,

Area of the dartboard.

= πr²

= π x 10²

= 100π in²

Now,

The probability of hitting the shaded ring, assuming you hit the board.

= Area of the shaded region / Area of the dartboard

= 25π/100π

= 1/4

Now,

As a percentage.

= 1/4 x 100

= 25%

Thus,

The probability of hitting the shaded ring, assuming you hit the board is 25%.

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If women's weights are normally distributed with a mean of 162.2 lb and a standard deviation of σ, the probability of a woman being able to use the ejection seat designed for men weighing between 146.9 lb and 210 lb is approximately 0.999995.

Assuming that military aircraft use ejection seats designed for men weighing between 146.9 lb and 210 lb, and that women's weights are normally distributed with a mean of 162.2 lb and a standard deviation of σ, we need to calculate the probability of a woman being able to use the ejection seat.

We can use the Z-score formula to calculate the probability of a woman being within the weight range for the ejection seat:Z = (x - μ) / σwhere x is the weight of the woman, μ is the mean weight of women, and σ is the standard deviation of women's weights.The Z-score will tell us how many standard deviations a woman's weight is from the mean.

We can then use a Z-table to find the probability of a woman being within the weight range for the ejection seat.Using the formula for Z-score, we have:Z = (210 - 162.2) / σZ = 47.8 / σZ-score for upper limitZ = (146.9 - 162.2) / σZ = -15.3 / σZ-score for lower limit

We know that the ejection seats are designed for men weighing between 146.9 lb and 210 lb. Therefore, the probability of a woman being able to use the ejection seat is the probability that her weight falls within this range.

We can calculate this probability by finding the area under the normal distribution curve between the Z-scores for the upper and lower limits.

For example, if we assume that σ = 10, then we can find the probabilities using a standard normal distribution table:Z-score for upper limitZ = 47.8 / 10Z = 4.78

From the Z-table, the area to the right of Z = 4.78 is 0.000002.

A similar calculation for the lower limit yields a probability of 0.999997.

The probability of a woman being able to use the ejection seat is therefore the difference between these two probabilities:

0.999997 - 0.000002 = 0.999995 or approximately 1.000 - 0.000005 = 0.999995.

Therefore, if women's weights are normally distributed with a mean of 162.2 lb and a standard deviation of σ, the probability of a woman being able to use the ejection seat designed for men weighing between 146.9 lb and 210 lb is approximately 0.999995.

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Answer:

hmmmm

Step-by-step explanation:

Each team member should run 9073.6 miles in the race on Course B.

Let's break down the problem step by step:

1. First, we need to find the length of Course B. We know that Course B is 212 times as long as Course A, and Course A is 214 miles. So, to find the length of Course B, we multiply:
  Course B length = 212 × 214 miles

2. Calculate the length of Course B:
  Course B length = 45368 miles

3. Now, we need to determine the distance each team member should run. There are 5 members on the team, and they need to run an equal distance on Course B. To find the distance for each member, we divide the total length of Course B by the number of team members:
  Distance per member = Course B length / number of members

4. Calculate the distance per team member:
  Distance per member = 45368 miles / 5

5. Finally, we find the distance each team member should run:
  Distance per member = 9073.6 miles

So, each team member should run 9073.6 miles in the race on Course B.

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Answer:

1/4

Step-by-step explanation:

1/2 Chance to roll an even number

1/2 Chance to pick an odd-numbered card

1/2 * 1/2 = 1/4

Answer:

hope helps

Step-by-step explanation:

The Constitution gave the federal government the power to put down domestic rebellions, including slave insurrections. The framers of the Constitution believed that concessions on slavery were the price for the support of southern delegates for a strong central government.

Answer:

The North allowed the constitution to protect slavery because they belived that slavery was an unhuamne thing although all their production for industrialization did come from the south where the slaves worked on them.

Step-by-step explanation:

The surface area of each brace of the cabinet is 30 square inches

Surface area of the first brace = 2 (lh +wh + lw )

= 2{(3×1) + (3 × 1) + (3 × 3)}

= 2(3 + 3 + 9)

= 2(15)

= 30 square inches

Surface area of the second brace = 2 (lh +wh + lw)

= 2{(3×1) + (3 × 1) + (3 × 3)}

= 2(3 + 3 + 9)

= 2(15)

= 30 square inches

Total surface area of the cabinet = Surface area of the first brace + Surface area of the second brace

= 30 square inches + 30 square inches

= 60 square inches

Consequently, the total surface area of the cabinet is 60 square inches

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Answer:

74.5

Step-by-step explanation:

The median is the middle number of a data set.

However, when the total amount of numbers in the data set add up to an even number, such as this one adding up to 8, we take the middle number, or 4, and the number above it, or 5. 72 and 77 are numbers 4 and 5 when the data set is in numerical order, so now we add 72 and 77, and get 149.

Finally, we divide 149/2 because there are 2 numbers contributing to the median total. The answer to 149/2 is 74.5.

Answer:

The answer is 74.5

Step-by-step explanation:

The median is the number in the middle the two numbers that are in the middle is 72 and 77. Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

Hope this helps mark brainliest please :)

∠C & 40° are vertically opposite angles. Vertically opp. angles have equal measures. So,

\(\mathfrak{Angle \: of \: C = \boxed{40^{\circ}}}\)

\(\mathbb{MIREU} \)