Multiply. (Simplify your answer
(-5y4z)(-7y6z³)

Answer:

6.89 billion for year 2010

7.15 billion for year 2023

Step-by-step explanation:

f(x) = [tex]a(1 + r) ^{x}[/tex]

f(x) = [tex]6.08(1+ .0126)^{10}[/tex]

f(x) = 6.89 Rounded to 2 places

f(x) = [tex]6.08(1+ .0126)^{13}[/tex]

f(x) = 7.15 Rounded to 2 places

Answer:

12

Step-by-step explanation:

3+2+7=12

Hope this helps! Please give brainliest!

Answer:

For --    (1.)   38 / 1 ( apples and baskets)

It is 304 apples distributed evenly among 8 baskets.

For --    (3.)  42 / 1 (apples and baskets)

It is 294 apples distributed evenly among 7 baskets.

Step-by-step explanation:

For the 2nd one, I don't see an answer relating to it. Are there more options when you scroll down?

I hope the other 2 answers helped.

From  transitive property of equality, RT = SU.

Given:

RS = TU

What is Segment addition postulate  ?

The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC

Since , from Segment addition postulate

ST = ST

What is addition property of equality ?

The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation. if a-b=c,then a−b+b=c+b, or a=c+b. The same goes with the subtraction property of equality.

Now , by addition property of equality

SU = ST + TU

Similarly,

RT = RS + ST

Now , Using transitive property of equality,

RT = SU

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There is 1 way to obtain at least two tails when you toss 9 fair coins.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

If you toss 9 fair coins, there are 2⁹ = 512 possible outcomes.

The number of ways to obtain zero or one tail is equal to the number of ways to obtain all heads or one head and the rest of tails, which is 2⁹ - 1 = 511.

Therefore, the number of ways to obtain at least two tails is the complement of the number of ways to obtain zero or one tail, which is 512 - 511 = 1.

Therefore, there is 1 way to obtain at least two tails when you toss 9 fair coins.

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Answer:

C, I did the math

hope this helps

Step-by-step explanation:

If we use direct substitution, we will get

[tex] \frac{0}{0} [/tex]

Which is intermediate from so we must use.algebraic manipulation

Let's divide everything by x

We would get

[tex] \frac{x + 1}{1} [/tex]

So the limit as x approaches 0 is

[tex]1[/tex]

Proof using a graph:

As x gets close and closer to 0, f(x) approaches 1. Limits does not care about discontinuity, only what the function gets closer to.

Answer:

This is a Right Triangle because the last angle is 90 degrees.

Answer: x=0.545455

Step-by-step explanation:

add 216 to both sides

divided both sides by 1331

take cube root

The explanation 3 is the path that tells us that the interlopers would have to come between the men in the story.

The summary here is that the men are faced with a face off. That is they were to fight themselves till they killed themselves.

But while they were to fight they are met with the interloper which is a more ferocious danger that they are facing.

This tells us that they both have more on their plate at the moment.

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Answer:

Step-by-step explanation:

Here's a step-by-step solution to finding the probabilities of the time between customer arrivals:

a. less than 20 seconds:

To find the probability that the time between arrivals is less than 20 seconds, we need to find the cumulative distribution function (CDF) of the time between arrivals and evaluate it at 20 seconds. The CDF for a uniform distribution is given by:

F(x) = x/b - a/b, where a is the lower bound and b is the upper bound of the distribution

For this problem, the lower bound a is 0 and the upper bound b is 120, so the CDF of the time between arrivals is:

F(x) = x/120

Now, we can evaluate the CDF at 20 seconds to find the probability that the time between arrivals is less than 20 seconds:

F(20) = 20/120 = 1/6

So, the probability that the time between arrivals is less than 20 seconds is 1/6.

b. between 10 and 30 seconds:

To find the probability that the time between arrivals is between 10 and 30 seconds, we need to find the difference between the CDFs at 30 seconds and 10 seconds:

F(30) - F(10) = 30/120 - 10/120 = 3/12 - 1/12 = 2/12 = 1/6

So, the probability that the time between arrivals is between 10 and 30 seconds is 1/6.

c. more than 35 seconds:

To find the probability that the time between arrivals is more than 35 seconds, we need to subtract the CDF at 35 seconds from 1:

1 - F(35) = 1 - 35/120 = 85/120 = 7/12

So, the probability that the time between arrivals is more than 35 seconds is 7/12.

d. Mean and standard deviation:

The mean of the time between arrivals is given by the average of the lower and upper bounds of the distribution:

mean = (a + b)/2 = (0 + 120)/2 = 60

The standard deviation of the time between arrivals for a uniform distribution is given by:

standard deviation = (b - a)/(2 * sqrt(3))

For this problem, the standard deviation is:

standard deviation = (120 - 0)/(2 * sqrt(3)) = 60/sqrt(3) ≈ 34.64101615

So, the mean time between arrivals is 60 seconds and the standard deviation is approximately 34.64 seconds.

a. The less than 20 seconds 0.1667.

b. The between 10 and 30 seconds 0.1667.

c.  The more than 35 seconds 0.7083.

d.  The mean and standard deviation of the time between arrivals 34.64 seconds.

To solve the probability questions, to find the probability density function (PDF) of the uniform distribution for the time between customer arrivals. In a uniform distribution, the probability density is constant within the given range.

Given:

Time between arrivals follows a uniform distribution between 0 to 120 seconds.

a. Probability of time between arrivals being less than 20 seconds:

Since the probability density is constant within the given range, we can calculate the probability by dividing the time range of interest (20 seconds) by the total time range (120 seconds).

Probability = (Time of interest) / (Total time range) = 20 / 120 = 1/6 ≈ 0.1667

b. Probability of time between arrivals being between 10 and 30 seconds:

Similar to part (a), the probability for this interval can be found by dividing the time range of interest (30 - 10 = 20 seconds) by the total time range (120 seconds).

Probability = (Time of interest) / (Total time range) = 20 / 120 = 1/6 ≈ 0.1667

c. Probability of time between arrivals being more than 35 seconds:

In this case, we need to calculate the probability of the time between arrivals being in the range from 35 to 120 seconds (as it is more than 35 seconds).

Probability = (Time of interest) / (Total time range) = (120 - 35) / 120 = 85 / 120 ≈ 0.7083

d. Mean and standard deviation of the time between arrivals:

In a uniform distribution, the mean (μ) can be calculated as the average of the minimum and maximum values in the range.

Mean (μ) = (Minimum value + Maximum value) / 2 = (0 + 120) / 2 = 60 seconds

The standard deviation (σ) for a uniform distribution can be calculated using the formula:

Standard deviation (σ) = (Maximum value - Minimum value) / √12

Standard deviation (σ) = (120 - 0) / √12 ≈ 34.64 seconds

So, the mean time between arrivals is 60 seconds, and the standard deviation is approximately 34.64 seconds.

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a) Two different ways.

x = ln(32)/ln(2)

2^x = 2^5

b) Only the natural logarithm way can be used.

c) x = 3.58

We want to solve:

2^x = 32

in two ways.

The first way is trivial, apply the natural logarithm to both sides:

ln(2^x) = ln(32)

x = ln(32)/ln(2)

The second way is the next one:

2^x = 32

The right number can be written as:

4*8 = 32

Now we can factorize the left side:

4*8 = (2*2)*(2*2*2) = 2^5

Replacing that we get:

2^x = 2^5

So we know that x = 5.

b) The second way can't be used to solve:

2^x = 12

Because 12 has a factor different than 2.

c) Using the natural logarithm  way:

x = ln(12)/ln(2) = 3.58

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The area of the shaded region is 20 square units for the given rectangle frame.

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

Dimensions of the inside rectangle, are as follows:

Length L₁ = 5 units

Width W₁ = 3 units

Since the frame is 2 units wide,

So, the dimensions of the outside rectangle, are as follows:

Length L₂ = 5 + 2 = 7 units

Width W₂ = 3 + 2 = 5 units

The area of the shaded region = area of the outside rectangle - area of the inside rectangle

The area of the shaded region = L₂ x W₂ - L₁ x W₁

The area of the shaded region = 7 x 5 -  5 x 3

The area of the shaded region = 35 - 15

The area of the shaded region = 20 square units

Thus, the area of the shaded region is 20 square units.

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The question seems incomplete, the missing figure is attached below.

Raul made a mistake in evaluating the expression 3 - (-5) - 7 in B) Step 2 by not following PEMDAS.

PEMDAS means Parentheses, Exponents, Multiplication and Division, Addition and Subtraction from left to right.

PEMDAS refers to the correct order for evaluating mathematical expressions.

The expression 3 - (-5) - 7 should be evaluated as follows:

3 - (-5) - 7

= 3 + 5 - 7

= 8 - 7

= 1

Thus, if Raul did not make a mistake in Step 2, he would have valued the expression as 1.

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Raul tried to evaluate an expression step by step.

3 - (-5) - 7

Step 1: 3 + 5 - 7

Step 2: 3 + 2

Step 3: 5

Find Raul's mistake.

A) Step 1

B) Step 2

C) Step 3

D) Raul did not make a mistake.

The linear function for the amount of store credit he will have left after purchasing x video games is given as follows:

f(x) = 299 - 60x.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The parameters for this problem are given as follows:

Hence the function is given as follows:

f(x) = 299 - 60x.

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The correct option regarding the domain of the reflected absolute value function is given as follows:

All real numbers.

The domain of a function is the set that contains all possible input values for the function.

The absolute value function is defined for all real numbers, and the reflection does not change the domain, hence the domain is all real numbers.

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On solving the provided question, we can say that quadratic equation is 46.

A quadratic equation is x ax² +bx +c = 0, which is a quadratic polynοmial in a single variable. a 0. The Fundamental Theοrem of Algebra ensures that it has at least οne solution since this polynomial is of second οrder. Solutions may be simple or cοmplicated.

An equation that is quadratic is a quadratic equatiοn. This indicates that it has at least οne word that has to be squared. The fοrmula "ax² + bx + c = 0" is one of the often used solutions for quadratic equatiοns. where are numerical cοefficients or constants a, b, and c. where the variable "X" is unidentified.

Quadratic equatiοn is



R(d) = d³ +3d² -8

R(3) = (3)³ +3(3)² - 8

R(3) = 27 + 27 - 8

R(3) = 46

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Answer:

Step-by-step explanation:

To solve the equation (3x + 20)^2 = 125 using the square root method, we start by taking the square root of both sides:

√[(3x + 20)^2] = √125

3x + 20 = ± 5

Next, we subtract 20 from both sides:

3x = -20 ± 5

Finally, we divide both sides by 3:

x = -8 or x = 3/3

So, the two solutions to the equation (3x + 20)^2 = 125 are x = -8 and x = 1. These solutions are in radical form and are already simplified.

The correct conclusion from the given percentage of students of different categories is option(c): Classical is the preferred music for 52 students.

What is meant by percentage?

A figure or ratio stated as a fraction of 100 is called a percentage. It is frequently indicated by the percent sign, "%."

Given,

Total number of middle school students = 400

Percent of students who prefer rock = 13%

Percent of students who prefer hip hop = 25%

Percent of students who prefer pop = 35%

Percent of students who prefer classical = 13%

Percent of students who prefer jazz = 14%

Now we can find the number of students for each category.

Number of students who prefer rock = 13/100 * 400 = 52

Number of students who prefer hip hop = 0.25 * 400 = 100

Number of students who prefer pop = 0.35 * 400 = 140

Number of students who prefer classical = 0.13 * 400 = 52

Number of students who prefer jazz = 0.14 * 400 = 56

We can now look at different options.

a) This is false as hip-hop is preferred by 100 students.

b) Together Pop and jazz are preferred by 140+56 = 196, which is not more than half (200) of students. So this is false.

c)  This is true as classical is preferred by 52 students.

d) Together rock and hip hop are preferred by 52+100 = 152, which is not equal to 172. So this is false.

Therefore the correct conclusion from the given percentage of students of different categories is option(c).

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Answer: c

Step-by-step explanation:

I did the test and it’s right

f(x) = ax + b, where a and b are real values, is the formula for a linear function. In this instance, a denotes the line's gradient, and b denotes the y-axis intercept (which is sometimes called the vertical intercept).

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Answer: the correct choice is b

Step-by-step explanation:

Yes, It intersect at positive x-coordinates.

The equation of line in point-slope form which passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, Slope (m) = (y₂ - y₁) / (x₂ - x₁)

Given that;

The function f (x) is defined in graph.

Now, The function g (x) is defined as,

⇒ y - 5 = (10 - 5) / (2 - 1) (x - 1)

⇒ y - 5 = 5 (x - 1)

⇒ y - 5 = 5x - 5

⇒ y = 5x

Clearly, By the graph of functions f (x) and g (x), both intersect at positive x - coordinate.

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The interval for which the rocket's height is increasing is 0 to 1 second.

The graph shows the way a toy rocket changes its height once it is launched. In general, it can be seen the height increases for some seconds and then the height decreases.

To calculate the interval let's find out the second or minute at which the rocket loses height.

0 - 1 second (from this moment the rocket loses height)

Based on this, it can be concluded the interval is 0-1 seconds.

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The transformation given to the parent function f(x)=sin(x) given the graph of the equation g(x)=sin(3x)-4 will be C. The graph is horizontally compressed by a factor of 1/3 and shifts up 4 units.

The parent function f(x) = sin(x) has been transformed by replacing x with 3x in the argument of the sine function.

This results in a horizontal compression of the graph by a factor of 1/3. In addition, the graph of g(x) = sin(3x) is shifted upward 4 units, as indicated by the subtraction of 4 from the value of the sine function.

The correct option is C.

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The formula for compound interest is:

A = P(1 + r/n)^nt

where:

A is the total amount of money after t years,

P is the initial principal or deposit amount (in this case $1000),

r is the annual interest rate as a decimal (in this case 1.3% or 0.013),

n is the number of times interest is compounded per year (in this case, let's assume it's compounded annually), and

t is the number of years.

So, the function modeling the total amount of money Brigitte has over time, t, would be:

A = $1000(1 + 0.013)^t

This function shows how the amount of money in the savings account will increase as time goes on due to compound interest.

Desert 2 will be 4,000,000 square miles and Desert 1 will be 12,000,000 square miles.

The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.

Desert 1 = 3x

Desert 2 = x.

Total area = 16,000,000

x + 3x = 16000000

4x = 16,000,000

Divide

x = 16000000 / 4

x = 40000000

Desert 2 = 4,000,000 square miles

Desert 1 = 12,000,000 square miles.

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Answer:

Step-by-step explanation:

ΔABC transformed by 5/2 to A'B'C':

A' = -10, 15

B' = -15, 10

C' = 5, -5

Answer: The x-axis is tangent to the curve when the value of y is equal to 0. So, to find the possible values of d when the x-axis is tangent to the curve, we need to solve the equation:

x^3/3 + 7x^2/2 + 10x + d = 0

To solve this equation, we need to use a method such as the cubic formula or a numerical method such as Newton-Raphson. However, it is not possible to determine a general solution for d without additional information, such as the value of x at which the tangency occurs. The possible values of d will depend on the specific value of x that satisfies the equation.

Step-by-step explanation:

Tony can afford the car insurance, and he has enough money( $426.33 ) left over each month to cover other expenses.

We need to calculate the cost of the insurance and compare it to his monthly pay.

According to the information given,

Tony's yearly pay is $8,320

and his monthly pay is $693.

If we round his yearly pay to $8,000, his monthly car insurance will be 1/30 of that amount, or $266.67.

Since Tony's monthly pay is $693, and his monthly car insurance will cost $266.67, he can afford the insurance. He will have $426.33 remaining each month after paying for the insurance.

Therefore, Tony can afford the car insurance, and he has enough money left over each month to cover other expenses. However, this calculation assumes that Tony has no other major expenses or debts, and it is always a good idea to budget carefully and consider all potential costs before making a significant purchase.

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Answer:

i think its 1 or 3 or 5 if not what i moslty think it is is    ((((  4   )))

Step-by-step explanation:

i hope this helps  may luck be with YOU!  :)