1. Suppose a friend has just given you $25. This increased your total amount of
cash to $45. How much money did you start with?
Step 1: Define the variable. (Hint: The variable shown is the first letter of the
word it defines.) (2 points)
m =
Step 2: Write an equation to describe the situation using the variable defined
in Step 1. (2 points)
Step 3: Solve the equation you wrote in Step 2. (Hint: Use the reverse
operation performed to m.) Show your work. (2 points)
Step 4: Explain the solution you found in Step 3. (2 points)

Answer:

you answer would be halves...I think lol

Answer:

halves

Step-by-step explanation:

To simplify the question, it's really asking you to find how many spaces (jumps) are in between each whole number.

If you count the number of jumps between two whole numbers, you get two.

This means they are halves.

Using Distributive Property, the product of 6x13 is 78.

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

The steps of distributive property are -

                                                 6 × 13

                                              6 × (10 + 3)

                                          (6 × 10) + (6 × 3)

                                  ((3 + 3) × (5 +5)) + ((3 + 3) × 3)

                 (3 × 5 + 3 × 5 + 3 × 5 + 3 × 5 ) + ((3 × 3) + (3 × 3))

                                     (15 + 15 +15 + 15 ) + (9 + 9)

                                                  60 + 18

                                                    = 78

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If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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Confidence interval of the mean.

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=512.

The sample size is N=51.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

The degrees of freedom for this sample size are:

The t-value for a 95% confidence interval and 50 degrees of freedom is t=2.

The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:

Answer: The 95% confidence interval for the mean is (481.5, 542.5).

Answer:

y=10x-2

Step-by-step explanation:

-2 is the y-intercpt

Answer:

y=4/3x-2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The pattern is adding 130, or multiply the servings by 130.

so if 3x=390, you would divide both sides by 3 and get 130.

This means that x=130

Now plug in 4x=?

You would get 4*130=?

if you do the math through multiplication you would get 520

Answer:

B

Step-by-step explanation:

I got the unit test right on edg 2020

The circumference of the wheel is 0.5π m

The radius is an important factor in determining the wheel's motion and speed.

In your question, the wheel has a radius of 0.25m and is initially moving at a certain speed.

The distance traveled by a point on the circumference of the wheel is equal to the circumference of the wheel.

The circumference of a wheel can be calculated using the formula,

=> circumference = 2πr

where r is the radius of the wheel.

Thus, the speed of a wheel can be calculated by multiplying the circumference by the number of rotations in a given time.

As the radius of the wheel is 0.25m,

the circumference will be 0.5π m,

and the speed will depend on the number of rotations in a given time.

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ANSWER

True

EXPLANATION

When the order matters, the number of ways to arrange items is determined with a permutation. This way, sets of items with the same items but in different order are counted as different sets. For example, (blue, red, green) is not the same as (green, red, blue).

On the other hand, when order does not matter, the number of ways to arrange items is determined with a combination. This way, sets with the same items are counted as the same set. In the previous example, both sets have the same combination of colors, so they are counted as the same set.

Hence, it is true that when the order does matter, the number of ways to arrange items is determined with a permutation.

Two standards $6$-sided dice are rolled. The probability that the sum rolled is a perfect square 7/36.

Likelihood is the part of math concerning mathematical portrayals of how likely an occasion is to happen, or how likely it is that a suggestion is valid. Likelihood is the part of science concerning mathematical depictions of how likely an occasion is to happen, or how likely it is that a recommendation is valid. Likelihood and measurements, the parts of science worried about the regulations administering arbitrary occasions, including the assortment, investigation, understanding, and show of mathematical information. While calculation and variable based math were concentrated on by old Greek mathematicians over long time back, the ideas of likelihood just arose in the seventeenth and eighteenth 100 years.

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Answer:

O AB is a major arc

Step-by-step explanation:

Circle M has the central angle LAMB with a measure of 63º

Which of the following statements does not represent the  circle M?

----------------

O AB is a minor arc

O mAB=63 º

O The center of the circle is point M.

O AB is a major arc

Answer:

350 hours

Step-by-step explanation:

Answer:

24

(17x-7)

x = 7 + 17

x = 24

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The nth Taylor polynomial for the function f(x) = 1/x^2, centered at c = 5, and with n = 4, is given by T4(x) = 0.04 - 0.008(x - 5) + 0.0016(x - 5)^2 - 0.00032(x - 5)^3 + 0.000064(x - 5)^4.

To find the nth Taylor polynomial for a function centered at c, we need to find the coefficients of the polynomial by taking the derivatives of the function at the point c.

In this case, we have the function f(x) = 1/x^2 and we want to find the 4th degree Taylor polynomial centered at c = 5.

The general formula for the nth degree Taylor polynomial is given by:

Tn(x) = f(c) + f'(c)(x - c) + (f''(c)/2!)(x - c)^2 + ... + (f^n(c)/n!)(x - c)^n

Let's calculate the derivatives of f(x) = 1/x^2:

f'(x) = -2/x^3

f''(x) = 6/x^4

f'''(x) = -24/x^5

f''''(x) = 120/x^6

Now, let's substitute the values into the general formula:

T4(x) = f(5) + f'(5)(x - 5) + (f''(5)/2!)(x - 5)^2 + (f'''(5)/3!)(x - 5)^3 + (f''''(5)/4!)(x - 5)^4

Plugging in the values, we get:

T4(x) = 1/5^2 + (-2/5^3)(x - 5) + (6/5^4)/2!(x - 5)^2 + (-24/5^5)/3!(x - 5)^3 + (120/5^6)/4!(x - 5)^4

Simplifying the expression, we obtain the final result:

T4(x) = 0.04 - 0.008(x - 5) + 0.0016(x - 5)^2 - 0.00032(x - 5)^3 + 0.000064(x - 5)^4

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Answer:

Step-by-step explanation:

\(f^-1\)\(\sqrt[3]{1/-1+x | + | 2x/-1+x}\)

Answer:

rate: $12 dollars per hour, 6$ per half hour, etc.

unit rate: $12 per hour

work:

unit rate is how much of per one. 12 per hour is already in unit rates.

To find the one-sided 99.9% confidence interval for a population mean click-through rate that claims it is not larger than a certain amount, statistical analysis is conducted using the appropriate formula and methodology.

In statistical inference, confidence intervals are used to estimate population parameters based on sample data. A confidence interval provides a range of values within which the true population parameter is likely to lie. In this case, we are interested in estimating the population mean click-through rate and establishing a one-sided confidence interval.

To calculate the one-sided 99.9% confidence interval, several steps need to be followed. First, a sample of click-through rate data needs to be collected. Then, the sample mean and standard deviation are computed. Next, the appropriate critical value corresponding to the desired confidence level (99.9% in this case) is determined from the standard normal distribution or t-distribution, depending on the sample size and whether the population standard deviation is known.

Using the sample mean, standard deviation, and critical value, the confidence interval can be calculated. Since we are interested in the upper limit of the confidence interval, the interval will be of the form (-∞, upper bound]. The upper bound is determined by adding a margin of error to the sample mean, which is derived from the critical value and standard deviation. The resulting confidence interval represents the range of values within which we can be 99.9% confident that the population mean click-through rate is no larger than the specified amount.

It's important to note that the specific calculation steps may vary depending on the sample size, assumptions about the population distribution, and whether the population standard deviation is known or estimated from the sample. Consulting a statistical textbook or software package can provide more detailed guidance on conducting the analysis and obtaining the desired one-sided confidence interval.

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we have the function

y=2x^(1/2)

Remember that

The arc length of a curve y=f(x) from x=a to x=b is given by

The combination shows that the different groups of three that can be chosen for a newspaper photo is 10.

From the information, Joyce, Karen and Paula are starters on their school basketball team.

The information is to illustrate the different groups of three that can be chosen for a newspaper photo.

This will be:

= 5!/3!(5 - 3)!

= 5!/3!2!

= (5 × 4 × 3 × 2 × 1)/(3 × 2 × 2)

= 20/2

= 10

There will be 10 groups.

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If the number of people changed to 12, the new cost per person is equal to $18.

In Mathematics, an inverse variation can be modeled or represented by this mathematical expression:

p ∝ 1/c

p = k/c

Where:

Next, we would determine the constant of proportionality (k) by substituting the value of the given variable as follows:

k = pc

k = 3(72)

k = 216

Now, we can determine the value of c:

c = k/p

c = 216/12

c = $18.

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The solar panels installed on the university parking garage require approximately 10,952 hours of operation per year to break even, based on the given parameters and a maximum operational capacity of 12,321 hours per year.


To calculate the number of hours per year the solar panels need to operate to break even, we need to consider the present value of operating the solar panels for 1 hour per year.
The initial investment cost for installing the solar panels is $2 million. We’ll calculate the present value of this cost over 20 years using a discount rate of 20%.
PV = Initial Cost / (1 + Discount Rate)^Years
PV = $2,000,000 / (1 + 0.20)^20
PV = $2,000,000 / (1.20)^20
PV = $2,000,000 / 6.191736
PV = $323,035.53
The present value of operating the solar panels for 1 hour per year is $323,035.53.
Now, we’ll calculate the revenue generated by operating the solar panels for 1 hour per year. The capacity of the solar panels is 300 kW, and the electricity can be purchased at $0.10 per kWh. Therefore, the revenue generated per hour is:
Revenue per hour = Capacity (kW) * Price per kWh
Revenue per hour = 300 kW * $0.10/kWh
Revenue per hour = $30
To break even, the revenue generated per hour should be equal to the present value of the installation cost:
Revenue per hour = PV
$30 = $323,035.53
Now, we can calculate the number of hours per year the solar panels need to operate to break even:
Number of hours per year = PV / Revenue per hour
Number of hours per year = $323,035.53 / $30
Number of hours per year ≈ 10,767.85
Since the solar panels can operate only for a maximum of 12,321 hours per year, the project will break even at approximately 10,768 hours per year.
Among the given options, the closest number to 10,768 is 10,952.15, so the answer is 10,952.15.

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For the coordinate plane representation of the curved line option 4 F(x) > 0 over the interval (–∞, –4) is correct answer.

Two number lines combine to produce a two-dimensional surface known as a coordinate plane. It is created when the origin, a point where the X- and Y-axes coincide, is crossed by a horizontal line. Points are located using the numbers on a coordinate grid. You can graph points, lines, and many other things using a coordinate plane. It serves as a map and provides clear directions between two points.

We are aware of where the curve intersects the x-axes (-4, 0)

We are aware of where the curve intersects the y-axis (0, -3)

Keep in mind that our curve crosses the x-axis at (-4, 0), and that it does so by moving from above to below the axis.

How did we learn this?

When the x-axis is "crossed," the sign of f(x) changes.

The function is negative at x = -2.5, which is greater than x = -4.

f(-2.5) = -12 and:

f(-4) = 0

As a result, it is clear that the function is negative when f(x) crosses the x-axis at x = -4.

This implies that the function must be positive prior to that moment.

Thus, the function should be bigger than zero for x values less than -4.

f(x) > 0 if x < -4

This leads us to the conclusion that the function is above the x-axis in the range (-∞, -4).

Then, this would be written as: f(x) exceeds 0 between (-∞, -4)

Hence, option 4 F(x) > 0 over the interval (–∞, –4) is correct answer.

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Answer:

\(given \: x = - \frac{1}{7} \)

\(x {}^{2} + \frac{1}{x {}^{2} } \)

\(( - \frac{1}{7} ) {}^{2} + \frac{1}{ ( - \frac{1}{7} ) {}^{2} } \)

\( \frac{1}{49} + \frac{1}{ \frac{1}{49} } \)

\( \frac{1}{49} + \frac{1 \times 49}{1} \)

\( \frac{1}{49} + 49\)

\( \frac{2402}{49} \: or \: 49.02\)

Using a Poisson probability table or a calculator, we find that the probability of getting at least 2 calls is approximately 0.8647 when the mean is 2.

To calculate the probability of getting at least 2 calls between 8:00 AM and 9:00 AM, we need to use the Poisson distribution. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space, given the average rate of occurrence.

In this case, we know that the mean number of calls during this time period is 2. The Poisson distribution formula is given by P(X = k) = (e^(-λ) * λ^k) / k!, where X is the random variable representing the number of calls, λ is the average rate (mean), and k is the number of events.

To calculate the probability of getting at least 2 calls, we need to sum the probabilities of getting 2 calls, 3 calls, 4 calls, and so on, up to infinity. However, since the Poisson distribution is infinite, we need to use a computational tool or a Poisson probability table to approximate the probability.

Using a Poisson probability table or a calculator, we find that the probability of getting at least 2 calls is approximately 0.8647 when the mean is 2.

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I) f is continuous at x=2

II) f is differentiable at x=2

These both f (function ) are true

The given limit can be recognized as the definition of the derivative of f at x=2. Specifically, it states that the derivative of f at x=2 is equal to 5.

Using this information, we can make the following conclusions:

I) We cannot say for sure whether f is continuous at x=2 based on the given limit alone. While a function being differentiable at a point implies that it is also continuous at that point, the converse is not necessarily true. Therefore, we would need additional information to determine whether f is continuous at x=2.

II) The given limit implies that f is differentiable at x=2, since the limit exists and is finite. Specifically, we can say that the derivative of f at x=2 exists and is equal to 5.

III) The given limit also implies that the derivative of f is continuous at x=2. This is because the limit defines a continuous function at x=2, and it is well-known that if a function is differentiable at a point, then it is also continuous at that point.

Therefore, the correct answers are II and III.

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Answer:

1/3

Step-by-step explanation:

is the answer because is a decimal

System of Equations

Given the system of equations:

2x + y = -6

y = 1/4x + 3

It's required to solve it by graphing.

The graph of a line can be drawn by only knowing two points of it.

To graph the first equation, solve for y:

y = -2x - 6

Now give x two values. For example, x = -5 and x = -1.

For x = -5:

y = -2(-5) - 6

y = 10 - 6 = 4

Point (-5, 4)

For x = -1:

y = -2(-1) - 6

y = 2 - 6 = -4

Point (-1, -4)

With these points, we can graph the first equation. The graph will be shown below in red.

Now graph the second equation:

y = 1/4x + 3

For x = -8

y = 1/4(-8) + 3

y = -2 + 3 = 1

Point (-8, 1)

For x = 0:

y = 1/4(0) + 3

y = 0 + 3 3

y = 3

Point (0,3)

The second line is drawn in blue below.

Answer:

3/10

Step-by-step explanation:

3/5 is equal to 6/10, and half of 6/10 is 3/10

Answer:

3/10

Step-by-step explanation:

Amount of pizza u told= 3/5

Amout u could eat of  wht u told = 1/2

Amount u could eat of pizza = 3/5 x 1/2 = 3/10

(calculation attached below)

I hope im right!!

Answer:

x>7

Step-by-step explanation:

-9x + 4 + 12 + 18x >79

9x+16>79

9x>79 - 16

9x > 63

x>7