Help idk how to do this

We want to create a real-life reasonable problem in which we can apply the laws of exponents.

Using a compound interest example;

Word Problem:

Calculate the final value of a $2,000 investment in an account with a 5% interest compounded Quarterly for 5 years.

Solving the word problem;

We have the following parameters;

Recall that the formula for compound interest is;

Substituting the given values;

Therefore, the solution to the problem is;

The final

Answer- 9 shelves

In order to find out how many shelves are need we must divided 175 into 20. 175 divided by 20 is 8.75. But, because you cannot have have .75 of a shelf, you have to round this to a whole. This means that 9 shelves will be the least needed number of shelves need to store 175 books. To check this answer 20 books X 8 shelves is 160 books, which means eight shelves can only store 160 books, we will need and additional shelf to store the last 15 books.

HOPE THIS HELPS & GOOD LUCK!

Answer:

15 ounces

Step-by-step explanation:

Each box contains 4 toys; a 5-ounce truck and three bags of marbles. The bags of marbles are all identical. How much does each bag of marbles weigh?

We need the total weight of the box. This is not given in the question, hence:

Let us assume

The total weight of the = 50 ounces

A 5-ounce truck and three bags of marbles.

Let the weight of one bag of marble = x

Hence,

5 ounces +3x = 50 ounces

3x = 50 ounces - 5 ounces

3x = 45 ounces

x = 45 ounces/3

x = 15 ounces

Therefore, the weight of each bag of marble is 15 ounces

College students are often targeted by credit card companies with advertisements. A survey conducted at a university found that 65% of students had opened a new credit card account within the past year.

To answer your question, we need to use basic probability concepts. If 65% of students surveyed had opened a new credit card account within the past year, then the probability that a randomly chosen student has not opened a new credit card account is 1 - 0.65 = 0.35 or 35%.
Now, let's say we want to find the number of students we need to survey before finding one who had not opened a new account in the past year. This is equivalent to finding the number of trials before we get a success (i.e., finding a student who had not opened a new account).
We can use the formula for geometric distribution, which is:
P(X = k) = (1 - p)^(k-1) * p
where X is the number of trials before the first success, p is the probability of success, and k is the number of trials.
In our case, p = 0.35 (the probability of finding a student who had not opened a new account) and we want to find k (the number of trials).
We can set the probability to find a student who had not opened a new account to be greater than 0.5 (i.e., 50%) to ensure a high chance of success. So, we have:
P(X >= k) = 0.5
(1 - 0.35)^(k-1) * 0.35 = 0.5
Taking the logarithm of both sides and solving for k, we get:
k = log(0.5) / log(0.65)
k ≈ 3
Therefore, we would expect to survey about 3 students before finding one who had not opened a new credit card account in the past year.

In conclusion, college students are often targeted by credit card companies with advertisements. A survey conducted at a university found that 65% of students had opened a new credit card account within the past year. This statistic suggests that credit cards are popular among college students, who may be looking for ways to finance their education and living expenses. However, it is also important to note that credit card debt can be a major burden for students, especially if they are unable to make timely payments or manage their finances effectively. The probability analysis conducted in this answer shows that we would expect to survey only about 3 students before finding one who had not opened a new credit card account in the past year. This highlights the need for financial education and literacy programs for college students, to help them make informed decisions about credit card use and avoid potential debt problems.

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Distance time speed of different animals are:

Lion = 60 km/h  Sailfish = 130 km/h Peregrine Falcon  = 389 km/h Cheetah = 120 km/h  Springbok = 100 km/h Golden Eagle  = 320 km/h.

Here are the answers for each one:

1. Lion: The lion traveled a distance of 30 kilometers in a time of 30 minutes. To find the lion's speed, we can use the formula: speed = distance ÷ time. So, the lion's speed was 30 km ÷ 0.5 hours = 60 km/h.

2. Sailfish: The sailfish traveled a distance of 195 kilometers in a time of 1 hour and 30 minutes, which is the same as 1.5 hours. To find the sailfish's speed, we can again use the formula: speed = distance ÷ time. So, the sailfish's speed was 195 km ÷ 1.5 hours = 130 km/h.

3. Peregrine Falcon: The peregrine falcon traveled a distance of 778 kilometers in a time of 120 minutes, which is the same as 2 hours. To find the peregrine falcon's speed, we can once again use the formula: speed = distance ÷ time. So, the peregrine falcon's speed was 778 km ÷ 2 hours = 389 km/h.

4. Cheetah: The cheetah traveled a distance of 30 kilometers in a time of 15 minutes, which is the same as 0.25 hours. To find the cheetah's speed, we can use the formula: speed = distance ÷ time. So, the cheetah's speed was 30 km ÷ 0.25 hours = 120 km/h.

5. Springbok: The springbok traveled a distance of 10 kilometers in a time of 6 minutes, which is the same as 0.1 hours. To find the springbok's speed, we can use the formula: speed = distance ÷ time. So, the springbok's speed was 10 km ÷ 0.1 hours = 100 km/h.

6. Golden Eagle: The golden eagle traveled a distance of 240 kilometers in a time of 45 minutes, which is the same as 0.75 hours. To find the golden eagle's speed, we can use the formula: speed = distance ÷ time. So, the golden eagle's speed was 240 km ÷ 0.75 hours = 320 km/h.

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The number for years that it would take 1600 workers to build 25 ziggurats is 66.67 years.

To find out how many years it would take 1600 workers to build 25 ziggurats, you can use the formula:

(time taken by 1200 workers to build 3 ziggurats) x (1600 workers / 1200 workers) x (25 ziggurats / 3 ziggurats) = time taken by 1600 workers to build 25 ziggurats

Plugging in the given values:

(8 years) x (1600 / 1200) x (25 / 3) = 8 years x (4/3) x (25/3)

= 8*25/3

= 200/3

= 66.67 years

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If the first bus is boarded at a rate of 15 people per minute, the domain of the function is; (15 ≤ x ≤ 45)

We are told that;

Total number of Juniors at Smithers High School that are taking a class trip = 130

Number of buses taking each student to their destination = 3 buses

Capacity of each bus = 45 people

Now, if the function  f(x) describes the total number of people on the first

bus, where x is the number of minutes spent loading the bus.

Then since the maximum number of people on the first bus is 45, then it means that the domain of the function is;

(15 ≤ x ≤ 45)

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The calories she burns per minute is 17 cal

We are given that the total calories that are burnt in 15 minutes and 20 minutes are 255 and 340 respectively.

We can use the equation

total calorie burnt = time (in minutes) * calorie burnt in one minute

here we know the total calorie that is burnt and the time, we can substitute the calorie that is burnt in a single minute with 'n'.

we can say that :

255 = 15 * x

x=255/15

x= 17.

The total calorie burn per minute is 17.

now for the verification, we know that if the total calorie burn per minute is 17 it should satisfy both the equation.

So, 340 = 20*x

340=20* 17

340 = 340

Thus it satisfies both equations.

Hence the calorie burnt per minute = 17

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The total unit of fuel used per mile f (N)= 12+ 2.2N

A linear function has the following form

y = f (x) = a + bx

A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

The graph of a linear function is a straight line.

The train uses 12 unit of fuel per mile and an additional 2.2 unit of fuel per mile for each railcar on the train.

Therefore the unit of fuel used per mile by N railcars is 2.2N

The total number of unit of fuel used per mile = 12+2.2N

therefore f(N)= 12+2.2N

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Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

Answer:

i cant cus i am only the age of thirteen

False. assume condition one has two values, condition two has five values, condition three has three values, and condition four has two values; the number of rules required for the decision table is sixty.

The number of rules required for a decision table can be calculated by multiplying the number of values in each condition. In this case, condition one has two values, condition two has five values, condition three has three values, and condition four has two values. The total number of rules would be the product of these values: 2 x 5 x 3 x 2 = 60.

Therefore, the statement "the number of rules required for the decision table is sixty" is true.

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Answer:

Step-by-step explanación

0.02

When the mean number of points scored per game next season is 60, the model predicts that the mean home attendance will be 11902

The function that predicts the attendance is given as:

\(y = -7628+325.5x\)

When the mean number of points scored per game next season is 60, it means that the value of x is 60

i.e. x = 60

Substitute 60 for x in the function

So, we have:

\(y = -7628+325.5 \times 60\)

Evaluate the product

\(y = -7628+19530\)

Add -7628 and 19530

\(y = 11902\)

Hence, the model predicts that the mean home attendance will be 11902

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Answer:

y = 5x - 23

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 10x from both sides:

10x (-10x) - 2y = 46 (-10x)

-2y = -10x + 46

Next, divide -2 from all terms in the equation:

(-2y)/-2 = (-10x + 46)/-2

y = (-10x)/-2 + (46)/-2

y = 5x - 23

y = 5x - 23 is your answer.

~

Answer:

y= 5x-23

Step-by-step explanation:

10x-2y =46

10x-10x-2y =46-10x

-2y= 46-10x

-2y/-2= 46-10x/-2

y= 5x-23

The solution to the inequality expression is f >-3

From the question, we have the following parameter that can be used in our computation:

-2f - 3.7 < 2.3

Add 3.7 to both sides of the expression

This gives

-2f < 6

Divide both sides of the expression by -2

So, we have the following representation

f >-3

Hence, the solution is f >-3

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The  standard error of the sampling distribution for n = 52 is 0.0094, rounded to the nearest Hundredths.

The standard error of the sampling distribution of sample proportions for samples of size n = 32, 42, and n = 52, we first need to calculate the standard deviation (σ) of the population proportion, which is given by:

σ = sqrt [p * (1-p) / n]

Where p is the percentage of tight ends in the league who made a touchdown reception (p = 0.45) and n is the sample size.
For n = 32:

σ = sqrt [0.45 * (1-0.45) / 32] = 0.0805

The standard error (SE) of the sampling distribution of sample proportions is given by:

SE = σ / sqrt(n)

So, for n = 32:

SE = 0.0805 / sqrt(32) = 0.0143

The standard error for n = 32 is 0.0143, rounded to the nearest hundredths.

For n = 42:

σ = sqrt [0.45 * (1-0.45) / 42] = 0.0739

SE = σ / sqrt(n) = 0.0739 / sqrt(42) = 0.0114

Therefore, the standard error for n = 42 is 0.0114, rounded to the nearest hundredths.

For n = 52:

σ =\(\sqrt {0.45} * (1-0.45) / 52] = 0.0677SE = \sigma / \sqrt(n) \\= 0.0677 / \sqrt(52) = 0.0094\)

Therefore, the standard error for n = 52 is 0.0094, rounded to the nearest hundredths.

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Since x represents a length, we reject the negative solution. Therefore, the value of x is approximately 4.88 inches.

In math, an equation is a statement that shows the equality between two expressions. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), that are separated by an equals sign (=). For example, the equation 3x + 5 = 14 is an algebraic equation that states that the sum of three times a number x and five is equal to fourteen. Equations can have different types of expressions, including numbers, variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and more. Solving an equation involves finding the value of the variable that makes the equation true.

Here,

To find the value of x, we need to first determine the dimensions of the entire ad.

Let A be the area of the entire ad, and let P be the area of the photo. We are given that P = (1/2)A. We are also given that the dimensions of the photo are 7 inches by 9 inches, so P = 7 * 9 = 63 square inches.

Substituting P = 63 and P = (1/2)A into the equation P = (1/2)A, we get:

63 = (1/2)A

Multiplying both sides by 2, we get:

126 = A

So the area of the entire ad is 126 square inches.

Next, we need to find the dimensions of the entire ad. Let the length be L and the width be W. We know that L * W = 126. We are also given that the length of the photo is 7 inches, so L = 2x + 7.

Substituting L = 2x + 7 into the equation L * W = 126, we get:

(2x + 7) * W = 126

Dividing both sides by 2x + 7, we get:

W = 126 / (2x + 7)

We know that the width of the photo is 9 inches, so:

W - 9 = x

Substituting the expression for W from above, we get:

126 / (2x + 7) - 9 = x

Multiplying both sides by 2x + 7, we get:

126 - 9(2x + 7) = x(2x + 7)

Simplifying, we get:

93 = 2x² + 7x

2x² + 7x - 93 = 0

Using the quadratic formula, we get:

x ≈ 4.88, x ≈ -9.58

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Answer:

-5

Step-by-step explanation:

Rate of change is slope.

Equation of line: y = -5x + 1

Slope = -5

Answer:

C. |12 - x| ≤ 0.25

Step-by-step explanation:

The possible length of the ribbon is within 0.25 inches of either side of the desired length of 12 inches. This means the length of the ribbon could be as short as 12 - 0.25 inches or as long as 12 + 0.25 inches.

Therefore, the correct inequality that describes all the possible lengths (x) in inches of the ribbons Jaime cut is: C. |12 - x| ≤ 0.25

Answer:

y = 4

Step-by-step explanation:

I forgot what its called, but you see the 4 on the right side and then how it shows 8 below it? its basically # times 4 for each thing. (1 x 4 = 4) (2 x 4 = 8) (3 x 4 = 12)

We need to first determine the equation of the portion of the plane that lies in the first octant. The area of the surface is 1262.5 square units.

The first octant is the region of space where all three coordinates (x, y, and z) are positive. Therefore, we need to find the values of x, y, and z that satisfy the equation 5x + 13y + z = 65 and are all positive.

To do this, we can use the fact that the plane intersects each of the coordinate axes (x, y, and z) when the other two coordinates are equal to 0.

When z = 0 and y = 0, we get:
5x = 65
x = 13

When z = 0 and x = 0, we get:
13y = 65
y = 5

When x = 0 and y = 0, we get:
z = 65

Therefore, the portion of the plane that lies in the first octant is the triangle with vertices at (13, 0, 0), (0, 5, 0), and (0, 0, 65).

To find the area of this triangle, we can use the formula:
Area = 1/2 * base * height

The base of the triangle is the distance between the points (13, 0, 0) and (0, 5, 0), which is the same as the length of the projection of this line segment onto the xy-plane. We can find this length using the Pythagorean theorem:
base = sqrt((13-0)^2 + (0-5)^2) = sqrt(169 + 25) = sqrt(194)

The height of the triangle is the distance between the point (0, 0, 0) and the plane, which is given by the equation z = (65 - 5x - 13y)/1. Plugging in the coordinates of any of the three vertices of the triangle gives:
z = (65 - 0 - 0)/1 = 65

Therefore, the height of the triangle is 65.

Plugging these values into the formula for the area, we get:
Area = 1/2 * sqrt(194) * 65 = 1262.5

So the area of the surface is 1262.5 square units.

To find the area of the surface, we need to consider the part of the plane 5x + 13y + z = 65 that lies in the first octant. In the first octant, all values of x, y, and z are non-negative.

We can find the points where the plane intersects each of the three axes by setting two variables to 0 and solving for the third variable:

1. x-axis: Set y = 0 and z = 0:
  5x = 65
  x = 13

2. y-axis: Set x = 0 and z = 0:
  13y = 65
  y = 5

3. z-axis: Set x = 0 and y = 0:
  z = 65

Now we have three points on the plane in the first octant: (13, 0, 0), (0, 5, 0), and (0, 0, 65). These points form a triangle. To find the area of this triangle, we can use the formula:

Area = (1/2) * base * height

Since we have a right triangle, we can use the distance between the points on the x and y axes as the base and height:

Base = 13 (x-axis distance)
Height = 5 (y-axis distance)

Area = (1/2) * 13 * 5 = 32.5 square units.

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Answer:

xxxxxxzzzjjznzjsbsbsbshj

Step-by-step explanation:

sekjxhxjdjdknxxbbxjdkekmdkdkddo

The correct option is for the value of c,  such that f(c) is the average value of the function on the interval [0, 2], is D.

The average value of a function on an interval [a, b] is given by:

R = (f(b) - f(a))/(b - a)

Here the interval is [0, 2], then:

f(2) = √(2 + 2) = 2

f(0) = √(0 + 2) = √2

Then here we need to solve the equation:

√(c + 2) = (f(2) - f(0))/(2 - 0)

√(c + 2) = (2 + √2)/2

Solving this for c, we will get:

c = [ (2 + √2)/2]² - 2

c = 0.9

Them tjhe correct option is D.

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Differentiate a Power Series is g(z) = Σ (-3)^n * n * z^(n-1), for n=1 to infinity, and -1/3 < z < 1/3.

To differentiate the power series representation of f(x) = ln(1-3z) to find g(z), first recall the power series representation for ln(1-x):

f(x) = ln(1-x) = -Σ (x^n)/n, for n=1 to infinity, and |x| < 1.

Now, we have f(x) = ln(1-3z). Replace x with -3z:

f(x) = ln(1-(-3z)) = ln(1+3z) = -Σ ((-3z)^n)/n, for n=1 to infinity, and |-3z| < 1.

To find the power series representation for g(z), differentiate f(x) with respect to z:

g(z) = d/dz[-Σ ((-3z)^n)/n] = Σ (-3)^n * n * z^(n-1), for n=1 to infinity, and |-3z| < 1.

However, the question asks for the power series representation on the interval (-1, 1):

Since |-3z| < 1, we have -1/3 < z < 1/3. Thus, g(z) = Σ (-3)^n * n * z^(n-1), for n=1 to infinity, and -1/3 < z < 1/3.

Differentiating the power series representation for g(z), f(x) = ln(1-3z) gives: f'(z) = -3/(1-3z)

Now, we can find the power series representation for f'(z) as follows:

f'(z) = -3(1+3z+9z^2+...) = -3∑n=0^∞(3z)^nHence, the power series representation for g(z) is:g(z) = ∫f'(z)dz = ∫(-3(1+3z+9z^2+...)dz= -3(z+3z^2+3*3z^3/3+...) = -3∑n=1^∞3^(n-1)z^n The power series representation of g(z) is therefore given by ∑n=1^∞-3*3^(n-1)z^n  

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The class width is approximately 6.83.

The correct lower class limits are: 19, 26, 33, 40, 47.

The correct upper class limits are: 20, 27, 33, 40, 47, 54.

To find the class width, we subtract the minimum value from the maximum value and divide the result by the number of classes:

Class width = (Maximum - Minimum) / Number of Classes

= (54 - 13) / 6

= 41 / 6

≈ 6.83

To find the lower class limits, we start with the minimum value and add the class width successively:

Lower Class Limits: 13, 13 + 6.83 = 19.83, 19.83 + 6.83 = 26.66, 26.66 + 6.83 = 33.49, 33.49 + 6.83 = 40.32, 40.32 + 6.83 = 47.15, 47.15 + 6.83 = 53.98

Rounding these values to the nearest whole number gives us:

Lower Class Limits: 13, 20, 27, 33, 40, 47

To find the upper class limits, we subtract 0.01 from the lower class limits, except for the last one which is the maximum value:

Upper Class Limits: 20 - 0.01 = 19.99, 27 - 0.01 = 26.99, 33 - 0.01 = 32.99, 40 - 0.01 = 39.99, 47 - 0.01 = 46.99, 54

Rounding these values up to the nearest whole number gives us:

Upper Class Limits: 20, 27, 33, 40, 47, 54

Therefore, the correct answers are:

Class width: Approximately 6.83

Lower Class Limits: B. 19,26,33,40,47

Upper Class Limits: C. 20,27,33,40,47,54

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Answer:

Square root of 16 is rational beacuse Square root of 16=4 Whlie the others are Irational.

Step-by-step explanation:

Answer:

Step-by-step explanation: squarefoot of 16 is rational cause 16=4

Answer:

Shai received $192 while Mara received $288.

Step-by-step explanation:

Let u be 1 unit.

5u=$160

u=$160÷5

=$32

6u=$32×6

=$192

9u=$32×9

=$288

t is 35 for  x+y= 7 and 7x + ty = 77, and the  value of t is 7 for x+y=7 and 7x+ty=49

Two or more expressions with an Equal sign is called as Equation.

Given equations are x+y= 7..(1)

7x + ty =77

We need to find value of t.

Multiply equation 1 with 7

7x+7y-7x-ty=49-77

y(7-t)=-28

7-t=-28

-t=-28-7

-t=-35

t=35

Hence the value of t is 35

Now for equations x+y=7

7x+ty=49

7x+7y-7x-ty=49-49

7y-ty=0

y(7-t)=0

7-t=0

t=7

Hence the value of t is 7

Therefore, t is 35 for  x+y= 7 and 7x + ty = 77, and the  value of t is 7 for x+y=7 and 7x+ty=49

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