help with this please and thank you
*will mark brainliest*

To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.

To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.

Using the properties of logarithms, we can rewrite the equation as follows:

2 log₅ x = log₅ (4 * 9)

Next, we simplify the right side:

2 log₅ x = log₅ (36)

Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:

x² = 36

Taking the square root of both sides, we get:

x =  √36

Since the square root of 36 can be either positive or negative, we have two possible solutions:

x = 6

It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.

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Answer:

a) [-9,8)

b) [-5,5]

c) (-4,0), (1,6)

d) [-9,-4), (6,8)

e) [0,1]

f) just the y-value: 5;  as a point: (-8,5)

g) just the y-value: -5;  as a point: (-4,-5)

Step-by-step explanation:

a) Domain is all of the x-values that are defined in the function. The smallest x-value in the graph is -9, and the largest is 8. And all values in between are defined (have corresponding y-values). But notice that there's an open dot on (8,0).

b) Range is found the same way as Domain, but with the y-values. The smallest y-value of this function is -5, and the largest is 5.

For c-e, notice where the graph changes direction and draw a vertical line from the x-axis through the turning point. These lines are the boundaries between intervals of increasing/decreasing/constant. You should have vertical lines at x=-4, x=0, x=1, and x=6.

c) Interval(s) on which f(x) is increasing: Reading the graph from Left To Right, between which vertical lines is the graph going up?

d) Interval(s) on which f(x) is decreasing: Reading the graph from Left To Right, between which vertical lines is the graph going down?

e) Interval(s) on which f(x) is constant: Reading the graph from Left To Right, between which vertical lines is the graph staying flat?

f) Look for the highest non-infinity point on the graph

g) Look for the lowest non-infinity point on the graph

Answer:

8.75

Step-by-step explanation:

2*2+2.25+2.5=4+4.75=8.75

*assuming the smudged fraction is 1/4

Answer:

\(m_{perpendicular}\) = 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 6y = - 24 ( subtract x from both sides )

6y = - x - 24 ( divide through by 6 )

y = - \(\frac{1}{6}\) x - 4 ← in slope- intercept form

with slope m = - \(\frac{1}{6}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{6} }\) = 6

Answer:

45

Step-by-step explanation:

\(x\) - \(y\) = 30 and \(y\) = 15

So, I guess you are just messed up with the Xs and Ys.

And I'm not sure what is the 4. ООО  8  80  200 about but here is my guess :

So \(x\) - \(y\) = 30 and \(y\) = 15.

First step, substitute the \(y\) into the equation \(x\) - .

So, it would be

\(x\) - 15 = 30.

Now, we need the value of \(x\).

\(x\) - 15 = 30

Group the terms together :

\(x\) - 15 ( +15 ) = 30 ( +15 )

So, \(x\) would be equals to 30 + 15. And in other words, it would be 45.

So :

\(x\) = 45.

Wanna check whether my answer's correct?

Substitute \(x\) into \(x\) - 15 = 30

That would be :

45 - 15 = 30

So is 45 - 15 = 30?

Yep.

So 45 is the answer.

The value of X is 45.

The rule of the function A(t) is A(t)= 48*t

For the second function we need to calculate the slope of the line with points (0,0) and (20,820)

So, The rule of the function B(t) is B(t)= 41*t

The domain of the function A(t) is : [ 0, ∞ +)

The domain of the function B(t) is : [ 0, ∞ +)

The range of the function A(t) is : [ 0, ∞ +)

The range of the function B(t) is : [ 0, ∞ +)

The slope of the A(t) is greater than the slope of B(t) ( 48 is greater than 41)

The y-intercept of the A(t) is equal to the the y-intercept of B(t)

Answer:

17/k

Step-by-step explanation:

The algebraic expression is to divide 17 by k

17/k  This can't be simplified because there is a variable in the denominator.

The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.

Answer:

\(y-1=-3(x+2)\)

Step-by-step explanation:

The equation of the given line:

\(y-1=\frac{1}{3}(x+2)\)

This equation is in the form \(y-y_{1}=m(x-x_{1})\).  Therefore, 1/3 is the slope.

To find a perpendicular line, take the opposite reciprocal of the slope (-1/old slope).  Therefore, the slope of the perpendicular line is -3.

The equation of the perpendicular line: \(y-1=-3(x+2)\)

Kinzang grew 0.96 meters.

We have,

To find how much Kinzang grew, we need to subtract his height at birth from his current height:

Height Kinzang grew = Current height - Height at birth

Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m

Therefore,

Kinzang grew 0.96 meters.

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Algebra

The quotient of -20 and a number can be written as a division or a fraction. To solve equations, it's best-written as a fraction:

Where x is 'the number', in this case, an unknown quantity

Similarly, the quotient of 4 and a number is:

We're assuming it's the same number as before.

Now we have to connect them with the plus sign because we have to increase. Thus, the final expression is:

Answer:

huh

Step-by-step explanation:

that don't make no sense

If a,b,c,d,e are in continued proportion then a/c =  a²/b²

Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

It is given that

a,b,c,d,e are in continued proportion

We can write it as

a/b = b/c = c/d = d/e = k

d=ek, c=ek², b=ek³ and a=ek⁴

Here a/c

Substitute the values of a and c

⇒ ek⁴/ek²

⇒ k²    [ k = a/b ]

⇒ a²/b²

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There is a 60% probability that a randomly selected student from the class scored either an A or B in Biostatistics.

To calculate the probability that a randomly selected student scored either an A or B in Biostatistics, we need to consider the number of students who scored A and B and divide it by the total number of students in the class.

Given that there are 25 students in the class, 5 of them scored an A and 10 scored a B. To calculate the probability, we add the number of students who scored A (5) to the number of students who scored B (10):

Number of students who scored A or B = Number of students who scored A + Number of students who scored B = 5 + 10 = 15.

Therefore, the probability that a randomly selected student scored A or B

in Biostatistics is:

Probability = Number of students who scored A or B / Total number of students = 15 / 25 = 0.6 or 60%.

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Answer:

X²(4+x)

Step-by-step explanation:

You pick out the common term

Greetings.

The answer is x²(4+x)

Explanation:

\(4x^2+x^3\\\)

By using a common factor, we factor x-term out. We factor the x-term with least degree and that is 2-degree. So we factor x² out.

When factored out, It's similar to dividing. When x² is divided by itself, the result is 1. When x³ is divided by x², the result is x (From the property of exponent.)

Similar to dividing, but we pull x² out.

\(4x^2+x^3\\x^2(4+x)\)

Therefore, the answer/factored form is x²(4+x)

The value of x for the two lengths of the diagonals is 1.

A diagonal in geometry is a line segment that connects two polygonal or polyhedral vertices when they are not on the same edge. Any sloping line is known as a diagonal informally.

Geometry is the area of mathematics that deals with the characteristics of space and the shapes of particular things as well as the interactions between them in space.

Given that the two segment values are 2x + 4 and 7x - 1. The value of x will be calculated as,

2x+4 = 7x-1

5x = 5

x = 1

Hence, the value of x is 1.

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The appropriate test statistic is approximately 1.89.

To determine if there is evidence that 20 to 29-year-old drivers have a higher mean accident claim compared to 30 to 49-year-old drivers, we can perform a two-sample t-test.

The test statistic can be calculated using the following formula:

\(t = (mean1 - mean2) / \sqrt{(s1^2 / n1) + (s2^2 / n2)}\)

where:

mean1 and mean2 are the sample means of the two populations,

s1 and s2 are the sample standard deviations of the two populations,

n1 and n2 are the sample sizes of the two populations,

Given the following information:

For population 1 (20 to 29-year-old drivers):

Sample mean (mean1) = $4586

Sample standard deviation (s1) = $2302

Sample size (n1) = 40

For population 2 (30 to 49-year-old drivers):

Sample mean (mean2) = $3669

Sample standard deviation (s2) = $2029

Sample size (n2) = 40

Calculate the test statistic (t):

\(t = (4586 - 3669) /\sqrt{ (2302^2 / 40) + (2029^2 / 40))\)

Calculating this expression:

t ≈ 917 / √(132360.1 + 102996.025)

t ≈ 917 / √(235356.125)

t ≈ 917 / 485.086

t ≈ 1.89

Therefore, the appropriate test statistic is approximately 1.89.

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Answer:

refer to the attachments

Step-by-step explanation:

EXPAND IN MATH:

expansion - a function expressed as a sum or product of terms; "the expansion of (a+b)^2 is a^2 + 2ab + b^2". math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement.

( x + 2 ) ( x + 11 ) (EXPAND):

1) USE THE FOIL METHOD: (A+B)(C+D)=AC+AD+BC+BD

X² + 11X + 2X + 22

2) COLLECT LIKE TERMS

X² + (11X + 2X) + 22

3) SIMPLIFY

X² + 13X + 22

To find the mass and volume of an irregularly shaped object you will need a graduated cylinder and a triple beam

The mass of an irregularly shaped object can be found by dipping such an object in a graduated cylinder filled with water.

The amount of water displaced will be equal to the volume of the object.

To carry out the experiment, we will need the following:

The graduated cylinder is where the water will be poured before the object will be displaced.

We do not need the thermometer since we are taking the temperature of the object. Therefore to find the mass and volume of an irregularly shaped object you will need a graduated cylinder and a triple beam.

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The one score I could truly think of that would work for this question, is that team A beat team B: 45 to 10. In total 45 + 10 would equal 55, plus there is a 35 point difference.

Answer: Team B has 20 and Team A has 35

Step-by-step explanation:

If the total score was 55 and team A beat B by 35 then you add 20 to get 55 that will be the final score

A = 35

B = 20

Added

Final = 55

Answer:

go ask your teacher

Step-by-step explanation:

Answer:

D)

Step-by-step explanation:

Answer:

(x,y)=(2,0)

Step-by-step explanation:

Multiply top equation by 4 and bottom equation by 5

-5y = 10 - 5x --> -20y = 40 - 20x

-2y = 8 - 4x --> -10y = 40 - 20x

Subtract both equations

-10y = 0

y = 0

Substitute y=0 into one of the original equations to find x

-5y = 10 - 5x

-5(0) = 10 - 5x

0 = 10 - 5x

5x = 10

x = 2

Therefore, the solution is (x,y)=(2,0)

Answer:

$886.47

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = 9 and y = 15

Step-by-step explanation:

this is the answer because each side is equivalent to the parallel line so y would be whatever is across from it

Answer:

y=15

x=9

Step-by-step explanation:

they are parallel and equal to the opposite sides

Median is the Middle number

1. Sort the numbers until they are all in value order

2. Find the middle number

So the answer would be 12

Answer:

Median = 12

Step-by-step explanation:

12, 11, 14, 14, 14, 12, 7

Arranging the given data in ascending order, we find:

7, 11, 12, 12, 14, 14, 14

Here,

Number of observations (N) = 7

\( \therefore \: \frac{N + 1}{2} = \frac{7 + 1}{2} = \frac{8}{2} = 4 \\ \\ median \: = 4th \: term \\ \huge \red{ \boxed{median = 12}}\)

Answer:

Step-by-step explanation:

This question bothers on permutation since we are to select a some people out of a group of people and then arrange in a straight line. If r object are to be arranged in a straight line when selecting them from n pool of objects. This can be done in nPr number of ways.

nPr = n!/(n-r)!

Selection of 6 people out of 8 people can therefore be done in 8C6 number of ways.

8P6 = 8!/(8-6)!

8P6 = 8!/2!

8P6 = 8*7*6*5*4*3*2!/2!

8P6 = 8*7*6*5*4*3

8P6 = 56*360

8P6 = 20,160

Hence this can be done in 20,160 number of ways

a) the Central Limit Theorem conditions are met. b) The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c) . A 90% confidence interval would be wider than the 95% interval

To verify the Central Limit Theorem (CLT) conditions, we need to check the following:

1. Random Sampling: The survey states that 800 adults were randomly selected, which satisfies this condition.

2. Independence: We assume that the responses of one adult do not influence the responses of others. This condition is met if the sample is collected using a proper random sampling method.

3. Sample Size: To apply the CLT, the sample size should be sufficiently large. While there is no exact threshold, a common rule of thumb is that the sample size should be at least 30. In this case, the sample size is 800, which is more than sufficient.

Therefore, the Central Limit Theorem conditions are met.

b. To find a 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views, we can use the formula for calculating a confidence interval for a proportion:

CI = p ± z * √(p(1-p)/n)

where:

- p is the sample proportion (82% or 0.82 in decimal form).

- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.96.

- n is the sample size (800).

Calculating the confidence interval:

CI = 0.82 ± 1.96 * √(0.82(1-0.82)/800)

CI = 0.82 ± 1.96 * √(0.82*0.18/800)

CI = 0.82 ± 1.96 * √(0.1476/800)

CI = 0.82 ± 1.96 * √0.0001845

CI ≈ 0.82 ± 1.96 * 0.01358

CI ≈ 0.82 ± 0.0266

The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c. A 90% confidence interval would be wider than the 95% interval. The reason is that as we increase the confidence level, we need to account for a larger margin of error to be more certain about the interval capturing the true population proportion. As a result, the interval needs to be wider to provide a higher level of confidence.

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