i need help on


5+(4x2)

The value of the radius that minimizes the amount of Aluminium is 4.64 cm and it gives the local minimum of the function

From the question, the volume of the aluminium is given as

Volume = 200pi cm^3

Rewrite this volume properly using the correct symbols and units

So, we have the following representation

Volume = 200π cm³

Solving further, we make use of the volume of a cylinder (i.e. a can)

The volume of a sphere is represented as

V = πr²h

Substitute Volume = 200π cm³ in

πr²h = 200π

Make h the subject in the above equation

This gives

h = 200π/πr²

Cancel the common factors

h = 200/r²

The surface area of a can is

A = 2πr(h + r)

So, we have

A = 2πr(200/r² + r)

This gives

A = 400π/r + 2πr²

Differentiate the function

This gives

A' = -400π/r² + 4πr

Set the differentiated function to 0

-400π/r² + 4πr = 0

So, we have

-400π/r² = -4πr

Cross multiply

-400π = -4πr³

Divide through by -4π

r³ = 100

Take the cube roots

r = 4.64

Hence, the radius that given minimum material is 4.64 cm

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Given:

We have the graph below:

ANSWER

P(A and B) = 1/2

EXPLANATION

By the Bayes Theorem we have a relationship between the given probabilities:

In this problem P(B) = 4/7 and P(A|B) = 7/8:

Answer:

A

Step-by-step explanation:  The lines are only intersecting with each other once

Answer:

A) 1 solution; consistent and independent

Step-by-step explanation:

on the graph the line only intersects once so there is only 1 solution and if 2 graphs have at least 1 solution it is considered consistent and if it has only one solution then it is independent.

Hopes this helps please mark brainliest

The theorem that states that the sampling distribution of the sample mean is approximately normal when the sample size n is reasonably large is known as the Central Limit Theorem

The Central Limit Theorem is a statistical theorem that states that, given a sufficiently large sample size, the distribution of the mean of any sample will be approximately normal, regardless of the shape of the distribution from which the sample was drawn.

In other words, the theorem states that the mean of a large sample will be close to the mean of the population, and that the standard deviation of the distribution of the sample mean will be small.

The theorem is important because it provides a way to approximate the distribution of any sample statistic, as long as the sample size is large enough. This is useful because many statistical tests, such as hypothesis tests and confidence intervals, require that the data be normally distributed.

The theorem is also important because it provides a way to quantify the amount of error that is introduced when a sample is used to estimate a population parameter. This is known as the standard error, and it is equal to the standard deviation of the distribution of the sample mean divided by the square root of the sample size.

The Central Limit Theorem is one of the most important theorems in statistics, and it is widely used in many different fields.

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Given the system of the equations:

y = x + 4

x + y = 2

By substitution with y from the first equation at the second equation

so,

x + (x+4) = 2

solve to find x

so,

x + x + 4 = 2

2x = 2 - 4

2x = -2

Divide both sides by 2

x = -2/2 = -1

Substitute at the first equation with x to find y

So, y = -1 + 4 = 3

so, x = -1 and y = 3

so, the order pair which a solution is (-1 , 3)

Answer:

A incorrect

Step-by-step explanation:

the degree is a optional request

Relative frequency of students who use online class in percentage =                               62.17%

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

For example 2% means [tex]\frac{2}{100}[/tex]. Here 2 is expressed as a fraction of 100.

Here,

Number of students using mobile in traditional class = 46

Total number of students in traditional class = 74

Relative frequency of students who use online class in percentage =                                                                                                                                                                            

                                                                                           [tex]\frac{46}{74} \times 100[/tex]

                                                                                        = 62.17%

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Answer:

Given that,

Margie is 4.25 feet tall

The maple tree in her backyard is 5.5 times taller than her.

To find the height of the maple tree.

we get,

Height of the maple tree is,

Maple tree is 23.375 feet tall.

B

1) In this question, y stands for population, and x stands for year.

2) Since the first year is 2003, then 2020 -2003 = 17. Let's plug into x, this value:

3) Rounding off to the nearest whole number, the population of Iberian lynx will be approximately 3 lynxes.

Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

Solution

We want to find the area and perimeter of the shaded figure.

The shape below is a rectangle

Therefore, the area of a rectangle is

while the perimeter of a rectangle is given by

Here, L = 2 unit and B = 3 units

Hence,

Area = 6 square units

Perimeter = 10 units

Solution:

Given the coordinates of the image;

The coordinates of the new image is;

Answer:

tan y = a/b = 1

(.tan 45° = 1)

a=b

Areas a=1/2 a * b = 1/2 =1/2 * 7√2 * 7√2 cm

b = 7√2 cm

= 49cm²

Step-by-step explanation:

Answer:

y>= -27/16

Step-by-step explanation:

I just put in the calculator

Step 1. We are given a table with values for Y and their corresponding probability P(Y).

Required: Find the expected value of Y.

Step 2. First, we will label the Y values as Y1, Y2, Y3, Y4 as shown in the diagram:

And we will label the corresponding probabilities as P1, P2, P3, and P4, shown in the following diagram:

Step 3. The formula to calculate the expected value E(Y) is:

Step 4. Substituting the values from step 2 into the formula from step 3:

Solving the operations:

The expected value is 15.5

Answer: 15.5

The equations of the two lines are y=2 (the horizontal one) and y=x (the diagonal line).

The region is 'under' y=x without including such line, and 'above' y=2 without including that line.

Therefore, the system of inequalities whose solution is the shaded region is

The formula of a slope:

[tex]\huge\begin{array}{ccc}m=\dfrac{y_2-y_1}{x_2-x_1}\end{array}[/tex]

We have two points:

[tex](0,\ 3)\to x_1=0,\ y_1=3\\\\(5,\ 13)\to x_2=5,\ y_2=13[/tex]

Substitute:

[tex]m=\dfrac{13-3}{5-0}\\\\m=\dfrac{10}{5}\\\\\boxed{m=2}[/tex]

Answer:

Slope = 2

Step-by-step explanation:

Now we have to,

→ find the slope of the line.

Formula we use,

→ Slope(m) = (y2 - y1)/(x2 - x1)

Then the slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (13 - 3)/(5 - 0)

→ m = 10/5

→ [ m = 2 ]

Hence, the slope is 2.

Answer: 3.375oz

Explanation

Given

• Reduce his daily soda intake by ​25%.

• Currently, he drinks 4.5oz. cans of soda per day.

• Ounces of soda can the patient drink if he reduces his intake by 25​%?

We have to build a relation, where 4.5 is our 100% and x is 75% (100 - 25 = 75%):

Solving for x:

Diameter of cylinder = 12 inches

radius of cylinder (r) = 1/2 x diameter = 6 inches

Height of cylinder (h) = 1.25 feet

We can convert feet to inches using the relation: 1 foot = 12 inches

So, 1.25 feet = 12 x 1.25 inches

=> 15 inches

The volume of the cylinder is given by:

Upon substituting the values of r and h

The correct order of the steps in a trial from first to last, include the following:

A trial court can be defined as a court of original jurisdiction where issues of fact, evidence, laws, and testimony for a litigation are first received, considered and decided, based on the deliberation by the jury.

Generally speaking, the citizen jury are legally empowered by the constitution to perform the following actions and activities:

In conclusion, a trial court is saddled with the responsibility of persuading the citizen jury before giving its verdict and sentencing a guilty offender, as the case may be.

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The slope-intercept form of a line equation is given by:

Where m is the slope of the line and b is the y-intercept. From the problem, we identify:

To find b, we use the fact that when x = 20, y = 13:

Finally, for x = 16 (the corresponding y is the height of the candle after 16 hours):

Answer :A i think

Step-by-step explanation:

in irder to solve this problem

we need to now that the probability to win one coin toss is 0.5

so other thing we need to know is

there all these possible scenarios that will happen

w= win

L=lose

WWW

WWL

WLW

LWW

LLW

LWL

LLW

LLL

as you can see only in 3 scenarios when the cougar win exactly 2

so the correct answer is B

First we need to divide 8600 by 3600 and the remainder divide it by 60, let's see how it goes:

This means that we can write 8600 like this:

With the quotients and the laste residue we can make the block of symbols:

Answer:

The answer is the first option

Step-by-step explanation:

Tan is opposite over adjacent

so its 24/10

simplify

12/5

hope this helped

3.75 miles he run at the gym.

What is distance?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Given: Joshua likes to make sure he gets enough exercise, so he always moves at least 4 1 /4 miles each day.

On days when he doesn't walk, he runs all that distance at the gym.

But  he walks 2 blocks, he cuts of 1/12 a mile off his run.

Today Joshua walked 12 blocks.

As he walked 12 blocks - 6 times 1/12 miles - so that's 0.5 a mile he cut from the exercise.

He will run at the gym for 4.25 - 0.5 = 3.75 miles in total.

4.25 - 6(1/12) = 3.75

Therefore, 3.75 miles he run at the gym.

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The number of win and losses of the volleyball team is related by a constant number, 3. This means that they're proportional. To find if the other teams also have proportional win-loss records we need to divide the number of their wins by the number of losses, if the result is an integer number, then they're proportional. We have:

Since the football team has a proportional win-loss record with the same proportion as the Volleyball team, then this is the correct answer.

The slope (m) of the given points is -9.

So, the slope will be:

Now, calculate as follows:

Therefore, the slope (m) of the given points is -9.

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