What is the value of f(3) in the function below?
F(x)=1/4•2^x
A. 4
B.3/2
C. 8
D. 2

The volume of the cylindrical space is 254.3ft³

A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance.

The volume of a cylinder is expressed as ;

V = πr²h

a yard = 3feet

2 yards = 2× 3 = 6feet

3 yards = 3× 3 = 9feet

V = πr²h

r = d/2 = 6/2 = 3 feet

V = 3.14 × 3² × 9

V = 254.3 ft³( one d.p)

Therefore, the volume of the cylindrical space is 254.3 ft³

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check the template in the picture below.

so the graph of f(x) is simply expanded horizontally, meaning the value A*B changed to something less than 1.

\(\begin{array}{|l|cc|ll} \cline{1-3} &x&y\\ \cline{2-3} f(x)=x^2&2&4\\[1em] g(x)=\frac{1}{2}x^2&2&2\\ \cline{1-3} \end{array}\)

Answer:

if this is on Imagine Math then its the first answer

Step-by-step explanation:    got it right!

The correct choices to represents the function, h is shown in figure.

⇒ h (x) = 4x - 2

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

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

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

This diagram represents a function named h.

Now, We have;

The correct equation to represent the equation is,

h (x) = x × 4 + 9- 2)

h (x) = 4x - 2

Hence, We can draw the equation of line and find that the correct choices to represents the function, h

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Answer:

set (0,1)

Step-by-step explanation:

-3x+3<6

6-3>-3x

3>3x

x>1

s.s (0,1)

Answer:

−3x + 3 < 6

= x > −1

Step-by-step explanation:

divide both sides by factors that do not contain the variable

Brainliest?

Answer:

£17920

Step-by-step explanation:

total length of the field = 2(155+485) = 1280m

cost = 1280 * 14 = 17920

Answer:

x+2

=1x+2

=3x.

it's soo easy.

As per the mathematical operation both Jillian and Samuel are correct.

Given expression = 30+40+70,

The methodology by Jillian = added 30 and 40 and then 70

The methodology by Samuel = added 30 and 70 and then 40.

Determining the result of the given equation:

30 + 40 + 70

= 140

Reviewing the operations of both Jillian and Samuel

Jillian

He added 30 and 40 and then 70:

30 + 40 = 70

70 + 70 = 140

Samuel

He added 30 and 70 and then 40

30 + 70 = 100

100 + 40 = 140

The result of both mathematical operations is 140. Thus, it can be stated that both are correct.

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Answer:

The answer is 100

Step-by-step explanation:

It's 100 because it's saying that the apples is 75 more grams than the pencil. So we do 25 grams plus 75 grams which gets us 100. If your wondering where I got the 25 from it's from the amount of the pencil.

Answer:

B

Step-by-step explanation:

To evaluate the integral ∫[1, 5] xg'(x) dx, we can use the Fundamental Theorem of Calculus.

Given that g(1) = -2 and g(5) = -2, we have the information about the function g(x) at the endpoints of the interval.

Using the Fundamental Theorem of Calculus, we know that the integral of g'(x) represents the change in the function g(x) over the interval [1, 5].

Since ∫[1, 5] g(x) dx = -10, we can rewrite the integral as:

∫[1, 5] xg'(x) dx = xg(x) | [1, 5] - ∫[1, 5] g(x) dx

Plugging in the values, we have:

∫[1, 5] xg'(x) dx = 5g(5) - 1g(1) - ∫[1, 5] g(x) dx

Substituting the given values g(1) = -2 and g(5) = -2, we get:

∫[1, 5] xg'(x) dx = 5(-2) - 1(-2) - (-10)

Simplifying further:

∫[1, 5] xg'(x) dx = -10 + 2 + 10

∫[1, 5] xg'(x) dx = 2

Therefore, the value of the integral ∫[1, 5] xg'(x) dx is 2.

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The value of "a" and "b" is  14 and -2,respectively.

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Any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

Within 2 standard deviations of the mean refers to the range that includes data points within two units of standard deviation from the mean. In this case, the mean is 180 and the standard deviation is 35.

To find the range within 2 standard deviations of the mean, we need to calculate the upper and lower bounds.

The upper bound can be found by adding 2 standard deviations (2 * 35 = 70) to the mean: 180 + 70 = 250.

The lower bound can be found by subtracting 2 standard deviations (2 * 35 = 70) from the mean: 180 - 70 = 110.

Therefore, any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

It's important to note that this answer is specific to the given mean and standard deviation. If the mean and standard deviation were different, the range within 2 standard deviations would also be different.

Always calculate the upper and lower bounds based on the provided mean and standard deviation to determine the range within 2 standard deviations accurately.

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The amount earned for the concert will be £393750

Number of people who attended the concert = 17500

Cost of ticket = £22.50 each

In order to get the total amount that the concert earns, we have to multiply the cost of each ticket by the total number of people who went to the concert. This will be:

= £22.50 × 17500

= £393750

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The limit as x approaches one is infinity.

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} =\infty\)

The limit of a function, f(x) as x approaches a given value b, is define as the value that the function f(x) attains as the variable x approaches the given value b.

From the given question, as x approaches 1,

substituting x into 1 - x,

the denominator of the function approaches zero, because 1 - 1 = 0 and thus the function becomes more and more arbitrarily large.

Thus, the limit of the function as x approaches 1 is infinity.

Therefore,

The limit (as x approaches 1)

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} = \infty \)

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Answer:

D.

Step-by-step explanation:

242-44

198/2 = inequality

Given:

Fraction of cake left = ¾

Let's find the number of 3/16 size portions of the remaining cake he can share with his family.

To find the amount of 3/16 size portions he can share, divide the remainder by 3/16.

Thus, we have;

To divide the fractions, change the division symbol to multiplication and flip the fraction on the right.

We have:

Therefore, he can share 4 portions of 3/16

ANSWER:

4

Answer: 96

Step-by-step explanation:  Since 240 * 0.6 = 144 pages are filled in the book, the remaining pages that are not filled are 240 - 144 = <<240-144=96>>96 pages. Answer: 96

Answer:

96

Step-by-step explanation:

It took 1700 J of work to stretch a spring from its natural length of 2 m to a length of 6 m. The spring constant k will be 212.5 N/m.

The potential energy stored in a spring is given by the formula:

PE = (1/2) kx^2

where k is the spring constant, x is the displacement from the equilibrium position, and PE is the potential energy.

In this problem, the spring is stretched from its natural length of 2 m to a length of 6 m, so the displacement is x = 6 m - 2 m = 4 m.

The work done on the spring is equal to the change in potential energy, so:

Work = PE final - PE initial

1700 J = (1/2) k(4² - (1/2) k(0)²

1700 J = 8k

k = 212.5 N/m

Therefore, the spring constant is 212.5 N/m.

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The probability that one adult has enough leisure time excercise is 24%, which is the same that a probability factor of 24/100 = 0.24.

a) In the case of three adults, the probability that all have enought time is given by the triple prodcut of the previous probability factor:

0.24 x 0.24 x 0 .24 = 0.013

Whis is equivalrnt to a probability of 0.013 x 100 = 1.38%

Answer:

 -1

Step-by-step explanation:

Answer:  liquidity reasons

Step-by-step explanation:

Banks sell credit cards and personal loans to customers to increase their profits, deepen customer relationships, generate more revenue, and compete in the market.

A loan is the lending of money by one or more individuals, organizations, or other entities to other individuals, organizations, etc.

Banks will try to sell credit cards and personal loans to customers for a few reasons:

Profit: Banks earn money by charging interest on loans and credit cards. By selling these products to customers, banks can earn significant profits.

Customer retention: By offering loans and credit cards to customers, banks can deepen their relationships with them and increase customer loyalty.

Increased revenue: Offering loans and credit cards can help banks generate more revenue from customers.

Market competition: Banks face intense competition from other financial institutions, including credit unions and online lenders.

Hence, banks sell credit cards and personal loans to customers to increase their profits, deepen customer relationships, generate more revenue, and compete in the market.

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Answer: For your answer you would add like terms so for -5x+x you would get -4x, and for your other you would get 7p.

Answer:

Its infinite solutions because its the same exact thing when you simplify the first half of the problem.

Step-by-step explanation:

Answer:

Infinite Solution

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6(x−1)=6x−6

(6)(x)+(6)(−1)=6x+−6 (Use Distributive Property)

6x+−6=6x+−6

6x−6=6x−6

Step 2: Subtract 6x from both sides.

6x−6−6x=6x−6−6x

−6=−6

Step 3: Add 6 to both sides.

−6+6=−6+6

0=0

Step-by-step explanation:

Write properties of function:

x intercept/zero: ; T1= -1 and T2=10

vertex form: g(t)=  (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

Explanation Write properties of function: Write properties of function:

x intercept/zero: ; t1=-1, and t2=10

vertex form: (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

hope this helped

Based on the data provided, the answer is "some variability." Hence the data 2, 2, 3, 2, 1, 1, 2, 2, 3, 2, 2, 1, 3 is

' some variability'.

This is because while there are repeated values (2, 2, 2, 2, 3, 3, 1, 1), there are also instances where the values differ (2, 3, 1). While there is not a wide range of values, the data is not completely homogenous either. Therefore, we can say that there is some variability present in the data.
The given data has some variability. Variability refers to the degree of dispersion or difference among the values in a dataset. In this case, the data points range from 1 to 3, which shows that there is some variation between the values, but not a lot. A dataset with no variability would have all identical values, while a dataset with a lot of variability would have a wider range and greater differences between values.

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Therefore,  the dimensions that minimize the cost to build the fence around the fencing are 20 m by 10 m.

To minimize the cost of fencing a rectangular field of 200 m2, we need to find the dimensions with the least total cost. Let's use the variables x and y for the length and width of the field, respectively. The area of the field is A = xy = 200 m2.
First, we'll find an equation relating x and y using the area: y = 200/x.
Next, we'll find the cost equation: Cost = 3x + 3x + 8y + 8y = 6x + 16y.
Now, substitute y in the cost equation: Cost = 6x + 16(200/x).
To minimize the cost, we'll find the derivative of the cost function with respect to x and set it equal to zero:
d(Cost)/dx = 6 - 3200/x^2 = 0.
Solving for x, we get x = 20 m. Then, using y = 200/x, we find y = 10 m.
Therefore,  the dimensions that minimize the cost to build the fence around the fencing are 20 m by 10 m.

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Answer:

Part A: So the solution for 4 = 2x-1 is -2. Why they're intersecting is because x is -0.5 in both cases. 2/4, as we already know, is 0.5. Since, this -2/4, we can just make 0.5 negative, so -0.5. -0.5 times 4 = -2, so x is -0.5. For y = 2x-1, multiply -0.5 by 2, which would get you -1. Then after that subtract 1, for -2.

Part B:

Well, notice how none of the entries for y = 4x and y = 2x-1 match. That would mean the answer wouldn't be an integer. (Attachment is the table)

Part C:

First, graph both y = 4x and y = 2x-1. After that, find where the two equations' y-coordinates are the same (So, on a graph, where they intersect.). The y-coordinate in common is your answer.

Answer:

A: the intersection represents the answer because the place where it intersects is where the equations have the same x values.

B:  they intersect at the point (0,1)

C: plot the equations on an online graph and solve, Its almost impossible to draw an accurate continuing graph for an exponential equation. I recommend desmos.

Step-by-step explanation:

I have a graph for part B.