35. Performance Task A manufacturer can save
money by making a can that maximizes volume
and minimizes the amount of metal used. For
a can with radius r and height h, this goal is
reached when 2 πr^3= πr^2h.

Part A Solve the equation for h. How is the height to the radius for a can that meets the manufacturers goal?

Part B The area of a label for a can is A=2 πrh. Use your result from Part A to write a formula giving the area of a label for a Can that meets the manufacturers goals.

The probability of getting a head and a number greater than 5 i.e, independent events is 0.0833.

A coin is tossed and a die is rolled. These are two independent events. Two events are defined as independent if the outcome of one event has no effect on the outcome of another event. The probability is calculated by multiplying two independent probabilities together, i.e, P(A and B) = P(A) x P(B)

We have, Let us assume two independent events be ,

A : A coin is tossed and the head is thrown.

B : A die is rolled, and a number greater than 5 occurs.

Total possible outcomes when a coin tossed = 2 ={ H ,T }

Total possible outcomes when a die rolled = 6 = { 1,2,3,4,5,6} .

We have to determine probability of getting a head and a number greater

than 5.

Probability of getting the head on toss a coin, P(A) = 1/2

Probability of occuring a number greater than 5 on rolling a die = P(B) = 1/6

So, the probability of getting a head on coin and a number greater than 5 on die =P(A)×P(B)

=(1/2)× 1/6 = 1/12=0.0833

Hence, required probability is 0.0833.

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Answer:

52.61 degrees to the nearest hundredth.

Step-by-step explanation:

8^2 = 7^2 + 10^2 - 2.10.7cos A

cos A = (8^2 - 7^2 - 10^2) / (-140)

          = -85/-140

          = 0.60714

< A = 52.61 degrees.

Answer:

  y = -3x

Step-by-step explanation:

You want the slope-intercept equation of the line with slope -3 through the point (-1,3).

The equation of the line with slope m through point (h, k) can be written ...

  y -k = m(x -h)

For slope -3 and point (-1, 3), the equation is ...

  y -3 = -3(x +1)

Eliminating parentheses gives ...

  y -3 = -3x -3

Adding 3 gives the equation ...

  y = -3x

__

Additional comment

As you can see, the y-intercept is 0.

Step-by-step explanation:

first of all, a function is an equation.

it associates a function result variable (typically called y) with a calculation based on an input variable (usually caked x), or in more complex mathematics based on a group of input variables.

but not every equation is a function. to be a function every valid x value must have exactly one associated y value.

e.g. x = 5 is an equation. but it does not restrict y in any way. so, any value of y (infinitely many) is valid for x = 5.

therefore, this is not a function.

a linear equation/function is a straight line (hence the name).

it is characterized by an inclination (typically called slope or rate of change) and its absolute position typically incentives by the interception points particularly with the y-axis on a coordinate grid.

there are various ways to describe a line in a formal way.

the slope-intercept form :

y = ax + b

a being the slope, b being the y-intercept (y-value when x = 0).

the point-slope form

y - y1 = a(x - x1)

again, a is the slope, (x1, y1) is an identified point (coordinates) on the line.

the general (often called standard) form

gx + hy = c

g, h, c are not describing anything directly, but after transforming this standard form they build the "a" and "b" terms of the other forms.

the slope is the ratio of (y coordinate change / x coordinate change) when going from one point on the line to another. for a line this is constant for any pair of points you can pick on the line.

in other words it tells us how many units y changes, when x changes by a certain amount of units

basically, a line is the collection of all the points for which the given equation is true (when using the x coordinate in the equation we get the corresponding y as calculation result, or when using x and y of any point on the line in the equation, then the equation is true).

graph :

the slope is found by checking 2 points and calculating the y diff / x diff ratio. e.g. starting with (0, 0) if that point is in the line, we increase x by 1 and check the y value there : (1, y).

so, the slope is for that example (y - 0)/(1 - 0) = y.

the y-intercept is found by checking the y-value for x = 0.

the y-interception point is therefore (0, b).

the x-intercept is the x-value when y = 0.

the x-interception point is therefore (x-intercept, 0).

table :

for the slope we pick again 2 data points of the table and calculate y diff / x diff.

as explained this has to be constant for any picked pair of data points of the table. then you know it is a linear equation.

if we are lucky, the table contains data points with x = 0 and/or y = 0. then we have the corresponding intercept values.

but if not, we need to use the coordinates of 1 point in the e.g. slope-intercept form to create an equation with 1 variable : b. and then we solve it to get b.

equation :

we need to bring the equation into a form that we get

y = ...

then the factor of x is the slope. and the constant term (even if it is not there, as it means it is 0) defines the y-intercept

everything else is as described above

description :

the description needs to give us either data points or an indication about the slope and the y-intercept.

when we have 2 points, we can define a line through them. in other words, any pair of points defines a line.

The required linear inequality is [tex]-\frac{2}{3} \geq -\frac{7}{8}x[/tex]

What is linear inequation?

A linear inequation is an equation that contains one or more variables, such as x, and involves linear functions. Unlike a linear equation, its solution set is not a single point, but a range of values. Linear inequations are used to represent situations where the exact value of a variable is not known, but a range of values can be determined based on certain conditions. For example, if x represents the amount of money a person makes in a year and we know that it must be greater than $50,000, then we can write the linear inequation x > 50,000.

Let the number be x

[tex]-\frac{2}{3}[/tex] is a minimum of the product of a number and  [tex]-\frac{7}{8}[/tex]

[tex]-\frac{2}{3} \geq -\frac{7}{8}x[/tex]

This is the required linear inequality

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The equation states that the total amount in the savings account will be equal to the initial deposit .The value 1,500 represents the initial amount deposited into the savings account.

The equation A = 1,500 + (1 + 0.06/2)^2t represents the amount of money earned on a compound interest savings account. The value 1,500 represents the initial amount that was deposited into the savings account. The equation states that the total amount in the savings account will be equal to the initial deposit (1,500) plus the amount that is earned by compounding the interest rate on the initial deposit. This is calculated by first adding the initial deposit (1) to the interest rate (0.06/2). This sum is then raised to the power of 2 times the number of years (t) the money has been in the account. This total amount is then added to the initial deposit (1,500) to give the total amount earned on the savings account.

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Answer:

The value 1,500 represents the initial value, which means the account started with a balance of $1,500.

Step-by-step explanation:

I got it right.

Answer:

The answer is $492.88. This is Marvin's gross pay for the week, calculated by multiplying his hourly wage of $14.75 by the number of hours he worked, which is 33.5 hours.

Step-by-step explanation:

Marvin works 6 hours a day on Monday through Thursday, for a total of 6 * 4 = <<64=24>>24 hours.

On Saturday he works 8.5 hours, for a total of 24 + 8.5 = <<24+8.5=32.5>>32.5 hours.

Marvin works for 30 minutes unpaid during the week, and 30 minutes unpaid on Saturday for a total of 30 * 2 = <<302=60>>60 minutes.

In hours, 60 minutes is 60 / 60 = <<60/60=1>>1 hour.

Therefore, Marvin works for a total of 32.5 + 1 = <<32.5+1=33.5>>33.5 hours in a week.

Marvin earns $14.75 per hour, so his gross pay is 14.75 * 33.5 = $<<14.75*33.5=492.88>>492.88

The statement 'the confidence interval for the mean of y is always narrower than the prediction interval for an individual response y given the same data set, x value, and confidence level.' is True.

In this question, we have been given a statement 'The confidence interval for the mean of y is always narrower than the prediction interval for an individual response y given the same data set, x value, and confidence level. '

We need to state whether the given statement is true or false.

We know that the confidence interval = sample mean ± margin of error

The confidence interval  for the mean of y is narrower when the x value is close to the mean of all of the x values.

Therefore, the confidence interval for the mean of y is always narrower than the prediction interval for an individual response y given the same data set, x value, and confidence level is True.

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The value of z if the area to the right of z is 0.4404 is; 0.15

To find the value of z if the area to the right of z is 0.4404 is expressed as; P(Z > z) = 0.4404

Now, this means we have to go and trace the value of this area on the standard normal distribution table to know that z-score that it represents.

Now, by looking at the table of standard normal distribution, we can trace that the z-score area to the right of z is 0.4404 is;

z = 0.15

Thus, we conclude that the z-score above is the required one for the given area.

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35 expect to participate in anti-racist practices.

anti-racist practices=Anti-racism encompasses a range of ideas and political actions which are meant to counter racial prejudice, systemic racism, and the oppression of specific racial groups. Anti-racism is usually structured around conscious efforts and deliberate actions which are intended to provide equal opportunities for all people on both an individual and a systemic level. As a philosophy, it can be engaged in by the acknowledgment of personal privileges, confronting acts as well as systems of racial discrimination, and/or working to change personal racial biases. Major contemporary anti-racism efforts include Black Lives Matter organizing and workplace antiracism.

Expect value= n*p=0.70*50

=35

Answer=35

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Answer:

g

Step-by-step explanation:

shifts the graph down by 6 units

Answer:

124.45

Step-by-step explanation:

u•v=8*22*cos(π/4)=124.45

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Answer:

below

Step-by-step explanation:

Area of rectangle ( 3 x 4 )  minus the area of the circle (pi * 1^2) =

= shaded area = 8.86 cm^2

Answer: -4 < n [tex]\leq[/tex] 5

Step-by-step explanation:

Based on last week's results, the profit that the owner expect to earn from cherry snow cone sales next week is $1832.

From the information, the owner expects to sell 800 snow cones next week and he earns a profit of $2.29 on each snow cone sold. Based on last week's results.

The profit can the owner expect to earn from cherry snow cone sales next week will be:

= Number of cheery × Profit on each

= 800 × $2.29

= $1832

The profit is $1832.

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Answer:

-18

Step-by-step explanation:

-55  - - 37  =  -55 + 37 = 37 - 55 = -18

Answer:

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

Solve in steps:

The estimate made by Warner is 95% reasonable.

Given is that Warner received 7 letters and each letter weighed between 3.92 ounces and 4.1 ounces.

If the we take the maximum possible weight of each letter, which is 4 ounces, then the total weight of 7 letters will be equal to (4 x 7) = 28. But since the weights are weighted between 3.92 ounces and 4.1 ounces, let us assume that the weight of each letter is equivalent to -

w(a) = (3.92 + 4.10)/2 = 8.02/2 = 4.01

So, the weight of 7 letters would be -

W{7} = w(a) x 7 = 7 x 4.01 = 28.7

28.7 = 29 (round off) ≈ 30

So, yes the estimate of the Warner is reasonable.

Therefore, the estimate made by Warner is 95% reasonable.

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Triangle a b c is cut by line segment f g. line segment f g goes from side a b to side a c. then x= 9

The problem description can be shown in the figure below. Since FG is parallel to BC, both sides AB and AC are split in proportional segments. It can be expressed in several ways. We'll use this one:

x+1/x+6= x-1/x+3

Operating in both sides:

4x+3=5x-6

Simplifying

x=9

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Answer: D). 9

Step-by-step explanation:

Answer:

x = 302/999

HERE THE ANSWER

Step-by-step explanation:

The end behavior of the function is that;

D. As x decreases in value, f(x) decreases in value.

As x increases in value, f(x) increases in value.

The end behavior of a function f(x) describes the behavior of the graph of the function at the "ends" of the x-axis.

Now, in the graph attached, at the end point of the curve on the left of the x-axis, we see that the coordinate is (-3, 0) and to the right which is when x has increased to 9 and now has a coordinate point of (9, 6).

Thus, we conclude that we see that as the value of x increased from left to right, f(x) also increased and as the value of x decreased from right to left, f(x) also decreased.

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Alicia read 140 minutes more then Henry in 2 week .

What is arithmetic?

Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, involution, and extraction of roots.

Main body:

Henry read for 20 minute each day.

Alicia rate for 30 minute each day.

as they read 7 day of a week , so

total minutes read by Henry = 2 *7 *20

                                               = 280 minutes

total minutes read by Alicia = 2 *7 *30

                                              =420 minutes

difference between henry , alicia reading = 420 - 280 = 140 minutes.

Hence , Alicia read 140 minutes more then Henry in 2 week .

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Answer:

m = -5/2 or -2.5

Pls choose me as brainliest!

Based on the values you've listed, it appears that the expression P(7, 5) represents a combination calculation. In combinatorics, the notation P(n, k) represents the number of ways to choose a subset of k items from a set of n items, without regard to the order in which the items are chosen. This is also known as the number of k-permutations of n items.

In this case, the expression P(7, 5) would represent the number of ways to choose a subset of 5 items from a set of 7 items. Using the formula for combinations, this would be calculated as follows:

P(7, 5) = 7! / (5! * (7 - 5)!)

= 7! / (5! * 2!)

= 7 * 6 * 5 * 4 * 3 / (5 * 4 * 3 * 2 * 1 * 2 * 1)

= 7 * 6 / 2

= 21

Therefore, the correct answer for the expression P(7, 5) is 21.

In studies intended to measure the distance a golf ball is struck with weapons made of various materials, the material of the golf ball and the direction of the wind at the moment the experiment was done become standardized variables.

In tests intended to assess the distance a golf ball is struck with clubs made of various materials, the kind of material the club is composed of is an independent variable.

Independent variables are those that a researcher tries to manipulate or control to observe how they impact the dependent variable. In this experiment, the effect of different club construction materials on golf ball distance is investigated.

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The 46th term is 324.

Answer:

[tex]\textsf{D)} \quad -\dfrac{5}{6} x+5[/tex]

Step-by-step explanation:

Given expression:

[tex]\left(- \dfrac{2}{3} x - 7\right) - \left(- 12 +\dfrac{1}{6}x \right)[/tex]

Remove the parentheses applying the rules  -(-a) = a  and -(a) = -a

[tex]- \dfrac{2}{3} x - 7+12-\dfrac{1}{6}x[/tex]

Collect like terms:

[tex]- \dfrac{2}{3} x-\dfrac{1}{6}x - 7+12[/tex]

Add the numbers -7 and 12:

[tex]- \dfrac{2}{3} x-\dfrac{1}{6}x+5[/tex]

Rewrite the first fraction so that its denominator is 6:

[tex]- \dfrac{2 \cdot 2}{3\cdot 2} x-\dfrac{1}{6}x+5[/tex]

[tex]- \dfrac{4}{6} x-\dfrac{1}{6}x+5[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}:[/tex]

[tex]\dfrac{-4-1}{6} x+5[/tex]

Simplify:

[tex]-\dfrac{5}{6} x+5[/tex]

Answer:

  A

Step-by-step explanation:

You want the center of dilation when ∆ABC is dilated by a factor of 1/2 to get ∆AED.

In any dilation, the center of dilation is invariant. It doesn't move.

Since point A is common to both triangles, it didn't move. Point A is the center of dilation.