given f(x) = 3x+5
work out the value for f(2)

Answer:

I don't get it everyone is telling the wrong answers am here to tell you guys and girls the right answer. The answer is :   D     A    B    B   C   your welcome                                                                  

Answer:

You need to times the first two numbers together and then times the answers with the other number and at the end divide them and this is ur answer, i have a test right now so i cant really do it for you so get a notebook and paper and try to solve it

Step-by-step explanation:

Answer: minimum cost is $3250

You'll need 10 small buses and 10 large buses

x = number of large buses

y = number of small buses

The restrictions for x and y are 0 <= x <= 18 since we have at most 18 large buses (and x can't be negative) and 0 <= y <= 19 for similar reasoning (this time we have up to 19 small buses to work with).

Furthermore, x+y <= 20 represents the idea that only 20 drivers are available. Each bus gets a driver and x+y is the total number of buses in operation. We want x+y to be 20 or smaller.

We'll also be dealing with the equation 30x+15y = 450

30x = number of students that go on the x large buses

15y = number of students that go on the y small buses

30x+15y = total number of students = 450

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

The objective cost equation is

C = 225x+100y

with 225x being the cost of operating all the large buses and 100y being the cost of operating the small buses. We want to get C as small as possible.

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

Graph this system of inequalities

Note that the corner points shown in the diagram below are

A = (0, 0)

B = (0, 19)

C = (1, 19)

D = (10, 10)

E = (15, 0)

Plug each of those (x,y) values into the cost function C = 225x+100y

Ignore (0,0), since this is a trivial solution. Operating no buses at all will yield a cost of 0 dollars, but this isn't what we're after. Either x or y must be positive.

You should find that (0, 19) leads to the min value of C as it produces the smallest output for C. However, notice that

1 small bus = 15 students

19 small buses = 19*15 = 285 students

15+285 = 300 which is less than 450

So we'll need a few large buses. Focus on points that are on the boundary line of 30x+15y <= 450. Those points are D and E. Point D's coordinates will lead to C = 3250 being the smallest cost value. This time we're able to transport all 450 students

10 small buses = 10*15 = 150 students

10 large buses = 10*30 = 300 students

150+300 = 450 total

thank you

This question can be solved using Conditional Probability, Probability of picking 2 random balls is 0.7

The potential of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability. It is determined by multiplying the likelihood of the earlier occurrence by the increased likelihood of the later, or conditional event.

The independent event and dependent event idea is present. Consider a student who misses class twice each week, omitting Sunday. What are the possibilities that he will take a leave of absence on Saturday the same week if it is known that he will be absent from school on Tuesday? Problems where the occurrence of one event influences the likelihood of the next event are known as conditional probability cases.

P(A|B) = P(A ∩ B)/P(B);

For picking 2 random balls: We should add probability of three cases(Picking red first, or white first, or yellow first)

P =\(\frac{4}{16}\)×\(\frac{12}{15}\)(Picking red first)+\(\frac{5}{16}\)×\(\frac{11}{15}\)(Picking White first)+\(\frac{7}{16}\)×\(\frac{9}{15}\)(Picking yelow first)

⇒P= \(\frac{48+55+63}{15*16}\)=0.69166≅0.7.

This question can be solved using Conditional Probability, Probability of picking 2 random balls is 0.7

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Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

Answer:

C

Step-by-step explanation:

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

After simplifying the algebraic expression 9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }, we get the result as 324 b - 153.

We are given the algebraic expression:

9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }

We need to simplify the expression.

For this, we will use the BODMAS rule.

B - Brackets

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

So, simplifying the expression, we get that:

9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }

= 9 { 9 b - [ 2 - 27 b + 15 ] }

= 9 { 9 b - 2 + 27 b - 15 }

= 9 { 9 b - 2 + 27 b - 15 }

= 81 b - 18 + 243 b - 135

= 324 b - 153

Therefore, after simplifying the algebraic expression 9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }, we get the result as 324 b - 153.

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The percentile of 6.2 in the given dataset is 30%. This means that 30% of the values in the dataset are lower than or equal to 6.2.

To determine the percentile of 6.2 in the given dataset, we need to calculate the percentage of values in the dataset that are lower than or equal to 6.2.

First, we arrange the dataset in ascending order: 4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2.

Next, we count the number of values that are lower than or equal to 6.2. In this case, there are three values: 4.2, 4.6, and 5.1.

The next step is to calculate the percentage. We divide the count (3) by the total number of values in the dataset (10) and multiply by 100.

(3/10) * 100 = 0.3 * 100 = 30%

Percentiles are used to understand the relative position of a particular value within a dataset. In this case, 6.2 is higher than 30% of the values in the dataset and lower than the remaining 70%.

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The transfer function for the given integrator circuit in terms of frequency,f and imaginary unit,j is expressed as \(T(f)=-j0.00628f\)

The figure of the integrator is shown at bottom of the answer.

The transfer function of an integrator can be expressed in form of impedances of the circuit elements connected to the op-amp.

Assume the impedance at the input side be \(Z_1\) and impedance of the feedback be \(Z_2\)

We can observe that at input, in consists of capacitor with capacitance,C \(= 0.1\mu F=10^{-7}F\)

and at the feedback loop, the circuit element is a resistor with resistance,R \(= 10k\Omega = 10^4 \Omega\)

Now,

the transfer function for an integrator can be written as ,

\(T(f) = -\frac{Z_2}{Z_1}\)

We know that,

impedance of capacitor is \(Z_1=\frac{1}{j\omega C}=\frac{1}{j2\pi f C}\)

impedance of resistor is \(Z_2=R\)

Now,

\(T(f)=-\frac{R}{\frac{1}{j2\pi fC}}\\\\T(f)=-R*j2\pi f C\\\\T(f)=-j10^4*2\pi f 10^{-7}\\\\T(f)=-j0.00628f\)

Hence, the transfer function is \(T(f)=-j0.00628f\)

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The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Step-by-step explanation:

\( = - 2( - 6x - 9) - 4(x + 9)\)

\( = 12 x+ 18 - 4x - 36\)

\( = 12x - 4x + 18 - 36\)

\( = 8x - 18...\)

Answer: 8x - 18

Step-by-step explanation:

-2(-6x - 9) = 12x + 18

-4(x + 9) = -4x - 36

(12x - 4x) + (18 - 36)

8x - 18

we calculated confidence interval = 0.48±0.16

confidence interval represents the accuracy of a particular estimation.

proportion of population is the ratio of random sample to the total available sample.

Given, size of samples that means number of total iPhones, n = 25

size of random samples that means iPhone with 85 downloaded apps, p= 12,

critical value for 90% confidence interval z* = 1.65

proportion of samples, p^ = p/n = 12/25 =0.48

finally, confidence interval = p^±z*[√{p^(1-P^)/n}]

                                               0.48±1.65[√{0.48(1-0.48)/25}]

                       hence, the confidence interval = 0.48±0.16

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My own multi-step combination problem is given below:

To solve this problem, Amanda  need to use the formula for combinations and it is:

nCr = n! / (r! x (n-r)!)

where:

n = total number of items to select from

r is the number of items to select.

First, we have to calculate the number of ways to select 3 fruit from 5, hence it will be:

5C3

=  5! / (3! x (5-3)!)

= 10

Next, we have to calculate the number of ways to select 2 meatpie from 4 and it will be

4C2

= 4! / (2! x  (4-2)!)

= 6

Lastly,, we need to calculate the number of ways to select 2 desserts from 3 and it will be:

3C2

= 3! / (2! x  (3-2)!)

= 3

To have the total number of dinner menus, we have to multiply these three numbers together:

= 10 x 6 x 3

= 180

Therefore, one can say that Amanda have 180 different dinner menus that she can be create.

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The average rate of change between -1 and 3 is 9.

The Given graph is not a linear graph, but a curve. More specifically, this is a cubic function, a type of polynomial function.

In this case, it would be more appropriate to find the average rate of change, since the selected points might make a line, but the function as a whole is not linear. Let's say we wish to find the average change of rate in the interval -1, 3, meaning to find the average rate of change from x = -1 to x =3 .

. Before we apply the formula, we locate the output: The coordinates are (-1, 9) and (3, 45).

Calculate the difference between the output values:

Δy=45−9=36.

Calculate the difference between the input values:

Δx=3−(−1)=4.

Finally, find the ratio between the change in output to the change in the input:

Δy/Δx

=36/4

=9

In this example, the average rate of change between -1 and 3 is 9.

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If a person from this group is selected at random, the probability that this person has type AB blood is 0.0928

From the question we have the total number of persons that there blood types have been collected as 700.

The number of people that have the AB blood type is given as 65.

Hence the probability would be

65 / 700

= 0.0928.

This is the term that is used in the field of mathematics to refer to the likelihood of something occurring. It tells us of the chances that may be present that would show that a certain phenomenon would occur.

Hence the probability is 0.0928

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To find the unit rate, we need to determine how much distance Margo covers in one unit of time. We can do this by dividing the distance by the time.

Distance = 1/4 mile

Time = 1/12 hour

Unit rate = Distance ÷ Time

Unit rate = (1/4 mile) ÷ (1/12 hour)

We can simplify this division by multiplying both the numerator and denominator by the least common multiple of 4 and 12, which is 12.

Unit rate = (1/4 mile) ÷ (1/12 hour) x (12/12)

Unit rate = (3/4 mile) ÷ 1 hour

Unit rate = 3/4 mile per hour

Therefore, Margo's unit rate is 3/4 mile per hour. This means that she can cover a distance of 3/4 mile in one hour of walking.

Answer:

3mph

Step-by-step explanation:

1/12 of an hour will be 5 min. In 5 min she can walk 1/4 mile then in one hour she can walk 1/4 x 12. This means her rate will be 3 miles per hour.

60/12 = 5

12 x 1/4 = 12/4 = 3

Answer:

210° or 60°

Step-by-step explanation:

Answer:

For this case we have the following equation:

Ax - By = C

From here, we must clear the value of x.

Adding By on both sides:

Ax = By + C

Then, dividing both sides by A we have:

x =By +C/A

Answer:

x = By+C/A

x equals the quantity B times and plus C all over A

\(\\ \sf\longmapsto Ax-By=C\)

\(\\ \sf\longmapsto Ax=C+BY\)

\(\\ \sf\longmapsto x=\dfrac{By+C}{A}\)

Option D

Answer:55%

Step-by-step explanation: 22 + 18 = 40, 40 times 2.5 = 100 so 22 times 2.5 = the percentage which is 55

The probability that the sum of the pips selected that is at least 11 would be = 1/12.

To determine the probability of the selected events, the formula for problem should be used which is given below;

Probability = possible outcome/sample space

Possible outcome = at least 11 = (5,6),(6,5),(6,6)

= 3

Sample space = 36

Probability = 3/36 = 1/12

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Answer:

Step-by-step explanation:

A function is the inverse of another function if it "undoes" the original function. In other words, if you apply the original function to an input and then apply the inverse function to the result, you get the original input.

To find the inverse of a function, you can swap the input and output values of the original function, and then solve for the new input variable. For example, if the original function is f(x) = y, the inverse function would be f^-1(y) = x.

Given the function f(x) = -2, 3, 8, 13, it is not possible to find a simple algebraic inverse function for the given values of x = -1, 0, 1, 2. The inverse of a function is only well-defined if the function is one-to-one, meaning that for every output value, there is only one input value that maps to it. In this case, the function does not appear to be one-to-one, so it does not have an inverse function.

So, The line is a horizontal one, and the equation is y = -2 of a line in slope-intercept form if the slope is 0 and the point is (-3, -2).

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. Slope is computed mathematically as "rise over run" (change in y divided by change in x).

Positive slope lines lean to the right, and they become steeper as the slope increases. A line with a negative slope slopes left, and the slope's magnitude determines how steep the line is. Since there is no slope on a horizontal line, it has a slope of zero.

The slope of the line is 0, which means the line is horizontal.

The point-slope form of the equation of a line is: y - y1 = m(x - x1)

With the point (-3, -2) and the slope of 0, we have:

y - (-2) = 0(x - (-3))

y = -2

The slope-intercept form of the equation of a line is: y = mx + b

The y-intercept of the line is -2, so the equation of the line in slope-intercept form is: y = 0x + (-2)

The line is a horizontal one and it's equation is y = -2

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your mom

Step-by-step explanation:

Answer:

Step-by-step explanation:

H(n)=91x(-1/7) n-1

do not know

Hope it helps the answer is the 2nd one have a great day

Answer:

The statistic for this case would be:

\( z=\frac{\hat p -p_o}{\sqrt{\frac{\hat p(1-\hat p)}{n}}}\)

And replacing we got:

\( z= \frac{0.436-0.4}{\sqrt{\frac{0.436*(1-0.436)}{700}}}= 1.92\)

Step-by-step explanation:

For this case we have the following info:

\( n =700\) represent the sample size

\( X= 305\) represent the number of employees that earn more than 50000

\(\hat p=\frac{305}{700}= 0.436\)

We want to test the following hypothesis:

Nul hyp. \( p \leq 0.4\)

Alternative hyp : \( p>0.4\)

The statistic for this case would be:

\( z=\frac{\hat p -p_o}{\sqrt{\frac{\hat p(1-\hat p)}{n}}}\)

And replacing we got:

\( z= \frac{0.436-0.4}{\sqrt{\frac{0.436*(1-0.436)}{700}}}= 1.92\)

And the p value would be given by:

\( p_v = P(z>1.922)= 0.0274\)

Answer:

x = 4

Step-by-step explanation:

The line is a vertical line. The equation of a vertical line is represented as x = k.

Where, k is the point at where the line intercepts the x-axis.

In the graph given, the line intercepts the x-axis at 4. k = 4.

Therefore the equation of the vertical line would be:

x = 4

Answer:

A. end up at exactly 0 feet of elevation.

Step-by-step explanation:

This is because, at a depth of 20 feet, their position is -20 feet below the water surface. If they rise by 20 feet, we add 20 feet to their current position to reach their new position.

So, -20 feet + 20 feet = 0 feet.

So, their new elevation will end up at exactly 0 feet of elevation.

Answer:

2x+5= g(−1)=12

Step-by-step explanation:

Simplify is simple

total number of outcomes = 2 + 3 + 5 = 10

The probability of getting a white marble is:

The probability of getting a green marble is:

The events: getting a white marble and getting a green marble are independent since there is a replacement after each drawing. Then, the probability that the first marble was white and the second was Green is: