A cylinder has a radius of 5 centimeters and a height of 8 centimeters. Describe how the following change affects the volume of the cylinder.

d. The dimensions are exchanged.

Answer: 1.03(1.35x)

Step-by-step explanation:

It is square-shaped as it is 4-straight sides with equal length, and every interior angle is right angle.

A right angle is defined as an angle in geometry and trigonometry that is exactly 90 degrees, or pi /2 radians, or one-quarter turn. The adjacent angles are right angles if a ray is positioned so that its terminus is on a line and they are equal. An interior angle is a shape's internal angle. The closed shape with sides and vertices is a polygon. All of the inner angles of a regular polygon are equal to one another. For instance, a square has interior angles that are all exactly right angles, or 90 degrees. The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection. The symbol is used to indicate a right angle.

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Here we have the quadratic function:

f(x) = 50 + 312*t - 16t²

The quadratic term:

- 16t²

Refers to the acceleration of the cannonball, in this case, caused by the gravitational force.

The linear term:

312*t

Refers to the vertical initial velocity of the cannonball (the velocity of the cannonball when t = 0)

The constant term:

50

Refers to the the initial height of the cannonball.

Now we want to graph between the boundaries "0 n", im not sure of what do you mean with that, so I will give the graph of the function in its whole domain, which can be seen below.

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Reason:

Both have the same slope of 3/2, aka "three-halves".

The slope is the rate of change. It tells us how fast or slow a plant is growing. The larger the number, the faster the growth.

Recall that y = mx+b has,

m = slope

b = y intercept

Therefore, the slope is thee number just to the left of x.

We have proved the trigonometric expression cos A + cos 2 A + cos 5 A = cos 2 A (1 + 2 cos 3 A) by using C/D formula.

We are given the expression:

cos A + cos 2 A + cos 5 A = cos 2 A (1 + 2 cos 3 A)

We need to prove the expression.

We know that:

Cos C + Cos D = 2 cos ( C + D / 2) cos ( C - D / 2)

Using this identity, we get that:

= cos 5 A + cos A + cos 2 A = cos 2 A (1 + 2 cos 3 A)

= 2 cos ( 5A + A / 2) cos ( 5A - A / 2) + cos 2 A = cos 2 A (1 + 2 cos 3 A)

= 2 cos 3 A cos 2 A + cos 2 A = cos 2 A (1 + 2 cos 3 A)

= cos 2 A ( 2 cos 3A + 1) = cos 2 A (1 + 2 cos 3 A)

= cos 2 A (1 + 2 cos 3 A) = cos 2 A (1 + 2 cos 3 A)

LHS = RHS

Hence proved.

Therefore, we have proved the trigonometric expression cos A + cos 2 A + cos 5 A = cos 2 A (1 + 2 cos 3 A) by using C/D formula.

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The total number of different permutations of the set is 5040

The set of elements is given as

Set =  {a, b, c, d, e, f, g}.

The cardinality of the above set is

n = 7

So, the total number of different permutations of the set is

Permutation = n!

This gives

Permutation = 7!

Expand

Permutation = 7 * 6 * 5 * 4 * 3 * 2 * 1

Evaluate

Permutation = 5040

Hence, the total number of different permutations of the set is 5040

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The equation that can be used to determine the cost of one drink is 29.18 = 22 + 2x - 5 where the cost of each drink is $6.9

= $22

29.18 = 22 + 2x - 5

29.18 = 17 + 2x

29.18 - 17 = 2x

12.18 = 2x

x = 12.18 / 2

x = 6.9

Therefore, the equation that can be used to determine the cost of one drink is 29.18 = 22 + 2x - 5 where the cost of each drink is $6.9

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The inequality to represent the number of students who can attend the field trip on the bus will be C. s≤48 s is less than or equal to 48.

From the information, Mrs. Milleman's math class is planning to going on a field trip. The school bus which is taking them can hold at most 48 people.

Therefore, the inequality to represent the number of students who can attend the field trip on the bus will be C. s≤48 s is less than or equal to 48.

In conclusion, the correct option is C.

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Answer:

h = -4/3

Step-by-step explanation:

Worked out on paper

Manny would save $729.50 per paycheck

What are dollar savings on new motorcycle and retirement?

The amount of savings on new motorcycle and retirement can be determined by multiplying the fractions by the earnings per paycheck

savings for new motorcycle=$2918*2/20

savings for new motorcycle=$291.80

savings on retirement=$2918*3/20

savings on retirement=$437.70

total savings=$291.80+$437.70

total savings=$729.50

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Answer: B. 3x+6<6 or -2x+9>3

               C. 3x-5<10 and -2x+9>3

The value of x and BD are 29 and 62

From the diagram shown, we can see that AC and BD are diagonals of the rectangle

It is important to note that the diagonals of a rectangle are equal

Then,

AC = BD

4x - 54 =  33 + x

collect like terms

4x - x = 33 + 54

Add/ subtract like terms

3x = 87

Make 'x' the subject

x = 87/ 3

x = 29

But BD = 33 + 1x = 33 + 1(29) = 33 + 29 = 62

Thus, the value of x and BD are 29 and 62

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The product of two rational numbers is a rational number.

Definition and importance Imbalance or monetary disparity alludes to the contrast between the rich and poor, the endlessly the less wealthy it is shown by individuals' various situations inside the financial conveyance abundance, pay and pay. Imbalance is huge in a general public where hardly any individuals own a lopsided measure of the financial pie. Social imbalance alludes to the lopsided economic wellbeing in any general public, coming about because of inconsistent open doors, and lower awards for exertion. This sort of divergence is brought about by a sensation of being unjustifiably treated, or of segregation in host of regions, like restricted admittance to quality training and occupations. Notwithstanding pay imbalance, individuals who have specific individual attributes, either from birth, or which have been constrained on them by others, are in many cases the subject of inconsistent social treatment. These attributes incorporate such things as race, skin tone, and eye shape, as well as parentage, the guardians' societal position, inability, orientation and orientation character.

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Answer: A rational Number

Step-by-step explanation:

Answer:

c= 24

Step-by-step explanation:

The conversion factors are used to multiply to 18 cm/s to get meters per minute is 60s/1m.

The conversion procedure depends on the unique circumstances and the targeted goal. A rule, a contract, technical requirements, or other norms that have been made public may control this. The precision of the initial measurement must not be increased or decreased during some unit conversions from one system to another. Soft conversion is another name for this. It doesn't need altering the way the thing being measured is physically constructed.

A hard conversion or an adaptable conversion, on the other hand, could not be perfect equivalents. In the new system, it converts the measurement to practical and usable numbers and units. Sometimes it entails rearranging the item's parts significantly or changing its size.

18 cm/s means 18 cm in 1 second.

You must change 1 second into a minute and 18 cm into meters when converting 18 cm/s into meters per minute. 18 cm = 18/100 meters.

1 second = 1/60 minutes.

18/100 meters per 1/60 minutes

18/100÷1/60 = 18/100 ×60/1

= 18 ×(60/100) meters per minute

The factor is 60s/100cm, which is equivalent to 60s/1m

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If a chip is randomly drawn from the bag, the probability it is not a red one is P(not red)  = 12/19.

Probability of an event A is the number of event A divided by all possible outcomes. Mathematically,

P(A) = n(A)/n(S)

where:

n(A) = number of event A

n(S) = number of all possible outcomes or sample space.

Suppose there 3 possible outcomes, A, B, and C, then:

n(S) = n(A) + n(B) + n(C)

1 = P(A) + P(B) + P(C)

The probability the outcome is not event A is equal to the probability of (B or C), or in other words,

However,

    P(B or C) =  P(B) + P(C)

It means,

     P(not A)  = 1 - P(A)

In the given problem:

Number of chips:

Blue = 3

Red = 7

Yellow = 4

Green = 5

Total chips = 3 + 7 + 4 + 5 = 19

If a chip is randomly drawn, the probability it will be a red one is:

P(red) = 7/19

Hence

P(not red) = 1 - 7/19 = 12/19

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Answer:

6x-9=2

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

(-12)+7 is the same as 7-12 which gives us - 5

Answer:

156

Step-by-step explanation:

568-412=156

Answer:

Step-by-step explanation: 568-412=156

Answer:

Find the revenue function R when x energy drinks are sold.

Step-by-step explanation:

An equation that can  can be used to find the number of sales Luke made this week is; 191 + 16.55x = ¹/₃(573 + 49.65x)

We are told to represent the number of sales as x.

Now, Luke works at a store and earns a fixed amount of $191 plus $16.55 per sale. This is represented as; 191 + 16.55x

Noah works at a different store and earns a fixed amount of $573 plus $49.65 per sale. This is represented as; 573 + 49.65x

We are told that they both made the same number of sales but Luke earned a third of what Noah earned. Thus;

191 + 16.55x = ¹/₃(573 + 49.65x)

An equation that can  can be used to find the number of sales Luke made this week is;

191 + 16.55x = ¹/₃(573 + 49.65x)

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Answer: it's 75

Step-by-step explanation:

acd= 165 bcd=90 165-90=75 therefore its a 75 degree angle

Step-by-step explanation:

Answer:

96.8 %

Step-by-step explanation:

not to bad

Answer:

$25.23

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

the fist 20 characters equal 14

Answer:

110

Step-by-step explanation:

integers are basically whole numbers

first 10 even integers would be 2,4,6,8,10,12,14,16,18,20

if you add all those numbers, it would be 110

Answer: To graph y = x is simple, it is a line that intercepts at 0, and goes up by 1/1, or 1 (rate of change)

Step-by-step explanation:

1. For C, it's simple, it is y = -x, since the negative reciprocal slope is usually perpendicular to the original number (if not able to convert to fractions, like 1, it's just the same whole number, but a negative).

2. For the "Rotate your slope triangle 90 degrees"; seems simple, which I think you should do a reciprocal of the number, and make it a negative, for ie. 3 is a slope, when changed, it becomes -1/3. so the new slope is a negative reciprocal.

The inverse of y = 7x² - 10 is √(x+10)÷7

Inverse operations, such as addition and subtraction, multiplication and division, are pairs of mathematical operations where one operation reverses the effects of the other. The term "inverse" refers to the reciprocal of a number, i.e., x - 1 = 1 / x. One is the result when a number is multiplied by its reciprocal, or inverse.

based on the available facts;

y = 7x^2 - 10

Switch y and x.

x = 7y^2 - 10

Solve for y.

Add 10 to both sides.

x + 10 = 7y^2

Divide both sides by 7.

(x + 10)/7 = y^2

√ both sides.

√(x + 10)/7 = y

Replace y with f^-1(x)

f^-1(x) = √(x + 10)/7y = 7x^2 - 10

Switch y and x.

x = 7y^2 - 10

Solve for y.

Add 10 to both sides.

x + 10 = 7y^2

Divide both sides by 7.

(x + 10)/7 = y^2

√ both sides.

√(x + 10)/7 = y

Replace y with f^-1(x)

f^-1(x) = √(x + 10)/7

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Answer:

?

Step-by-step explanation:

Answer:

x=3 and N is the mid-point.

Okay, so if N is the mid-point.

E D=15

E N=4 x -1

N D=4+ 2 x

6 x -3=15

Now get the 6 x by itself, so move the 3 over

So it would be: 6 x =18

So that would be 6 divided by 6 is x and then 18 divided by 6 equals 3

So, X equals 3

Answer:

2.47

Step-by-step explanation:

Perform long division.

[tex]Borrow\:8\:and\:2.\:You\:will\:see\: :)\\6 \cdot 2 = 12\\= 14 - 12 \\= 2\\Drop\:8\\= 28\\6 \cdot 4 = 24\\= 28 - 24\\= 4\\Drop\:2\\= 42\\6 \cdot 7 = 42\\= 42 - 42\\= 0\\\\= \boxed{2.47}[/tex]

➲ Hope it helps.