Express in simplest radical form.
\frac{\sqrt{96}}{2}

Answer:

Step-by-step explanation:

Surface Area of Cylinder = 2πrh+2πr^2

2π(3)(12) + 2π(3)^2

= 282.7 yd^3

answered by g a u t h m a t h

The graph of the function f(x) = x(x + 5)(x - 2) have x intercepts at x = 0, -5 and 2

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

f(x) = x(x + 5)(x - 2)

x(x + 5)(x - 2) = 0

x = 0, x + 5 = 0, x - 2 = 0

x = 0, -5 and 2

The graph of the function f(x) = x(x + 5)(x - 2) have x intercepts at x = 0, -5 and 2

Hence, the graph of the function f(x) = x(x + 5)(x - 2) have x intercepts at x = 0, -5 and 2

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Answer:

x = 20

Step-by-step explanation:

\(\frac{10}{x}\) = \(\frac{x}{40}\)

We cross-multiply and get

400 = \(x^{2}\)

\(\sqrt{400}\) = \(\sqrt{x^{2} }\)

x = 20

So, the answer is x = 20

The range of the function f(x) = \(-2^{x}\) + 4 is -∞ < y < 4.

What is range of a function?

All potential values for y are included in a function's range. The equation to determine a function's range is Y = f. (x). If every x value has exactly one y value, then it is merely a function in a relation.

We are given a function which is defined as  f(x) = \(-2^{x}\) + 4.

We know that range is the output we get after substituting the value of x.

So, in this situation, we will get the value for y less than 4 or equal to 4 because when x = 0, we will get 4 and when x = 1, we will get 2 as there is a minus sign before 2 due to which this will be always a negative value.

Thus, the range of the function will be -∞ < y < 4.

Hence, the third option is the correct option.

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Answer:

True, the point (-5, 2) is inside of the circle (lying on it) centered at (0, 7)

Step-by-step explanation:

Hope this helps! Leave any questions or concerns in the comments! byeee <3

The vectors v = 6i - 3j and w = i + 2j are orthogonal.

To determine if the vectors v and w are orthogonal, we need to find their dot product. If the dot product is 0, the vectors are orthogonal.

Here are the steps to find the dot product of v = 6i - 3j and w = i + 2j,

1. Identify the components of the vectors: v = (6, -3) and w = (1, 2)

2. Multiply the corresponding components of the vectors:

\((6 \times 1) + (-3 \times 2) = 6 - 6 \)

3. Add the products: 6 - 6 = 0 Since the dot product is 0, the vectors v = 6i - 3j and w = i + 2j are orthogonal.

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Correct question is " Are these vectors orthogonal? v = 6i - 3j and w = i+2j"

Answer:

please translated to english

The total money Ani raised was  217 dollars.

Cost price of soda = 310 dollars

money raised = selling price - cost price

What is selling price?

The cost at which something is sold. Calculate the total cost of all the items you bought. To calculate the cost price, divide the total cost by the quantity of units purchased. Use the selling price formula to calculate the final price: Cost price plus profit margin equals selling price.

What is cost price ?

Cost price is the complete sum of money that a manufacturer must spend to create a specific good or render a specific service. Cost is equal to Selling price plus Loss ( when selling price and loss is given ) Cost price = 100 Selling Price + 100 + Profit (where the Selling Price and Profit Percentage are supplied)

Hence

x = 527 - 310

=217 dollars

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Answer:

y=-1/2x+24

Step-by-step explanation:

you solve for y by isolating the y on one side of the equation and the rest of the equation on the opposite side of the equal sign.

1/2x-1/2x+y=24-1/2x

y=24-1/2x

rewritten: y=-1/2x+24

We found that the equation for the inverse function of f(x) = 7x is f^(-1)(x) = x/7. By substituting this equation into f(f^(-1)(x)) and f^(-1)(f(x)), we demonstrated that the equation holds true.

a. To find the equation for the inverse function f^(-1)(x) of f(x) = 7x, we need to interchange the roles of x and y and solve for y.

Let's start with the original function f(x) = 7x:

y = 7x

Now, we interchange x and y:

x = 7y

Next, solve for y:

y = x/7

Therefore, the equation for the inverse function is f^(-1)(x) = x/7.

b. To verify that the equation f^(-1)(x) = x/7 is correct, we need to show that f(f^(-1)(x)) = x and f^(-1)(f(x)) = x.

f(f^(-1)(x)) = x:

Substitute f^(-1)(x) = x/7 into f(x):

f(x/7) = 7(x/7) = x

This confirms that f(f^(-1)(x)) = x.

f^(-1)(f(x)) = x:

Substitute f(x) = 7x into f^(-1)(x):

f^(-1)(7x) = (7x)/7 = x

This also verifies that f^(-1)(f(x)) = x.

In both cases, we have shown that applying the inverse function f^(-1)(x) to f(x) or applying the function f(x) to f^(-1)(x) results in the original input value x. Therefore, the equation for the inverse function f^(-1)(x) = x/7 is correct.

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Answer:

a) Her reasoning is wrong because √50 does not simplify to 2√25, it simplifies to 5√2. With her thinking that √50 simplifies to 2√25, then this leads to her doing 2 * 5 which equals 10.

b) To estimate a square root, you have to find two square numbers that make the number lie in between the two squares. In this case we need to find two square numbers where one square number is smaller than 50 and the other one is bigger. You should have found the two square numbers to be 7 and 8 because 7² = 49 and 8² = 64. Now we divide 50 by either number, either 7 or 8. As we can't use a calculator it is easier to divide 50 by 8 than 7. 50/8 = 6.25 Now we find the average of 6.25 and 8 which is 14.25/2 = 7.125 7.125 rounded to the nearest tenth is 7.1 Therefore the answer for b is 7.1

Answer:

(a) √50 is not equal to 10.

√50 = √25√2 = 5√2

(b) √50 = 5√2 = 5(1.41) = 7.05 = 7.1

Answer:

117 is the value of you Question

Step-by-step explanation:

Answer:

The equation for charge is = current x times

The probability of choosing a car or a truck is P(Car) + P(Truck).

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Answer:

Here we do not have the options, so I will answer in a general way.

We have two statements:

p = A number is greater than 25

q = A number is less than 35

We want to have:

p ^ q is true

This means:

p and q are true.

So, we need to find a number such that both conditions are meet, so we need to find a number N such that

The number N is greater than 25  (from p)

The number N is less than 35 (from q)

So N can be any number between 25 and 35

So, some of the possible values of N are:

N = 26

N = 27

N = 28.6

N = 33

N = 34

Concluding, any number N ∈ (25, 35) can be a solution.

(Note that N = 25 and N = 35 are not solutions)

Answer:

(-2,9)

Step-by-step explanation:

Solve for the first variable in one of the rquations,then sumstutute the result in the other equation

solve the system of equtions

Answer:

10) -1.5

11) 1

Step-by-step explanation:

Hope this helps! Pls give brainliest!

the coefficient of 8 · 2N is 16.

Answer:

A possible solution is she should by 6 bags of popcorn and 10 drinks

Step-by-step explanation:

The price of each bag of popcorn = $7.50

The price of each drink = $4.50

The amount Sarah has to spend = $90

The number of bags of popcorn and drinks Sarah must buy = 16 bags of popcorn and drinks

Let the number of bags of popcorn purchased be represented by x and the number of drinks purchased be represented by y

Therefore, we have;

x + y ≥ 16.....(1)

x × 7.5 + y × 4.5  ≤ 90

Which gives;

7.5·x + 4.5·y ≤ 90....(2)

Rewriting the inequalities as a function of y, gives;

From inequality (1), x + y ≥ 16, we have;

y = ≥ 16 - x

From inequality (2), 7.5·x + 4.5·y ≤ 90, we have;

7.5·x + 4.5·y ≤ 90

4.5·y ≤ 90 - 7.5·x

y ≤ 90/4.5 - 7.5/4.5·x

y ≤ 20 - 5/3·x

Please find attached, the plot of the inequalities

A possible solution is given as the value of x = 6, where y = 10

Therefore, she should by 6 bags of popcorn and 10 drinks.

In the big bucks lottery, there are chances that 10 out of 1000 people will win the lottery.

If there are 1000 people in the Big Bucks lottery and there is a 1 percent chance of winning 10 dollars prize if all 1000 people buy the lottery ticket of 10 dollars. If every person buys 10 dollar lottery ticket, then the chances of winning people would be calculated as follows:

Total number of People = 1000

Chances of winning the lottery = 1%

How many people would win 10 dollar lottery = 1000 * 1%

= 1000 * 0.01

= 10 People.

So there are chances that 10 out of 1000 people will win the lottery.

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Answer:

13) 142° (intercepted arc is twice the inscribed angle)

14) 23° (inscribed angles is half of the intercepted arc)

15) Since RT is a diameter and arcRS = 46°, then arcST = 180° - 46 = 134°

16) Using the result of #13, arcRQ = 180° - 142° = 38°

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A 95% confidence interval is used in situations where we need to estimate the population mean or proportion with a certain level of accuracy.

Confidence intervals provide a range of values in which the true population parameter is likely to fall within a certain level of confidence.
For example, if we want to estimate the average height of all high school students in a particular state, we can take a sample of students and calculate their average height. However, the average height of the sample is unlikely to be exactly the same as the average height of all high school students in the state.
To get a better estimate of the population mean, we can calculate a 95% confidence interval around the sample mean. This means that we are 95% confident that the true population mean falls within the interval we calculated. This is useful information for decision-making and policymaking, as we can be reasonably sure that our estimate is accurate within a certain range.
In summary, a 95% confidence interval is useful in situations where we need to estimate a population parameter with a certain level of confidence and accuracy. It provides a range of values that the true population parameter is likely to fall within, based on a sample of data.

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Answer:

3rd answer

Step-by-step explanation:

It is an open circle and it has to be less than 15 and since it is a positive it is to the right

Answer:

no question

Step-by-step explanation:

Answer:

4^-3

Step-by-step explanation:

Formula : -

a^m x a^n x a^k = a^( m + n + k )

Here,

a = 4

m = - 8

n = - 1

k = 6

4^-8 x 4^-1 x 4^6

= 4^( - 8 + ( - 1 ) + 6 )

= 4^( - 8 - 1 + 6 )

= 4^( - 9 + 6 )

= 4^-3

To find the acceleration when the velocity equals zero, we need to differentiate the velocity function with respect to time, t.

For the first piece of the velocity function where st<2, the derivative of mt is simply m since t is not a variable in this expression. For the second piece of the velocity function where t>2, we need to use the chain rule to differentiate the natural logarithmic function. The derivative of ln(t-1) with respect to t is 1/(t-1).
Therefore, the derivative of v(t) with respect to t is:
a(t) = m - 2St for st<2
a(t) = 1/(t-1) for t>2
To find the acceleration when the velocity equals zero, we need to set v(t) equal to zero and solve for t.
For the first piece of the velocity function where st<2, we have:
0 = mt - St2 - 4
St2 = mt - 4
t = sqrt((m-4)/S)

For the second piece of the velocity function where t>2, we have:
0 = 14 ln(t-1)
t = e+ 1
Now, we can substitute these values of t into the acceleration function to find the acceleration when the velocity equals zero:
For the first piece of the velocity function where st<2, we have:
a(sqrt((m-4)/S)) = m - 2S(sqrt((m-4)/S))
For the second piece of the velocity function where t>2, we have:
a(e+1) = 1/(e-1)

Therefore, the acceleration when the velocity equals zero depends on the values of m, S, and e.
To find the acceleration for the piecewise defined velocity function when the velocity equals zero, we first need to identify when v(t) = 0 within the given function. The function is defined as follows:
v(t) = { mt - St^2 - 4, for 0 ≤ t < 2
        14 ln(t - 1), for t > 2
1. For the first part of the function (0 ≤ t < 2), set v(t) = 0 and solve for t:
  mt - St^2 - 4 = 0
2. For the second par of the function (t > 2), set v(t) = 0 and solve for t:
  14 ln(t - 1) = 0
After finding the values of t when the velocity is zero, you can then calculate the acceleration for each case. Acceleration is the derivative of the velocity function with respect to time (a(t) = dv(t)/dt). Compute the derivatives for both parts of the piecewise function and evaluate them at the values of t where the velocity is zero.

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(1)  ∃x∀yS(x, y): There exists a solution that solves all problems.

(2)  ∀y∃xS(x, y): For every problem, there is at least one solution.

What does it mean for there to exist a solution that solves all problems?

(1)  In the statement  ∃x∀yS(x, y), it is saying that there exists a solution (represented by 'x') that can solve all problems ('y'). This means that there is at least one solution that is applicable to every problem. Essentially, it suggests the presence of a comprehensive solution that addresses all possible problems.

How can we understand the statement that every problem has at least one solution?

(2) On the other hand, the statement  ∀y∃xS(x, y) conveys that for every problem ('y'), there exists at least one solution ('x'). This implies that no matter what problem arises, there will always be at least one solution available to tackle it.

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Answer:

Step-by-step explanation:

269.50 divided by the 14 visits equals the average cost for one visit, or $19.25... which is honestly a fantastic deal lol