Statement
4x = 7x - 21

Reason
?

The conclusion about the cylinder volume when the radius is half is that the volume is one-fourth of the original

The volume of a cylinder can be represented as follows;

volume = πr²h

volume = π × 10² × 14

volume = 1400π cm³

Let's half the radius as follows:

radius = 10 / 2 = 5 cm

volume = π × 5² × 14

volume = 350π cm³

Therefore, the new volume is one fourth of the original when the radius is halved.

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Answer:

a

Step-by-step explanation:

Step-by-step explanation:

cos(a) = 1/2 or 0.5

that means a = 60°

the cosine value is the x coordinate, the sine value the y coordinate.

so, only an answer with 1/2 as x coordinate can be right.

and therefore, the 4th answer (bottom right) is correct.

The measure of angle ∠1 will be 68 degrees.

The missing graph is given below.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The diagram is given below.

Then the measure of angle ∠1 will be

68° + 44° + ∠1 = 180°

                  ∠1 = 68°

The measure of angle ∠1 will be 68 degrees.

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Answer:

deductive reasoning

Step-by-step explanation:

it is based on what is true based on what happened before

Answer:

2 option, deductive reasoning

Step-by-step explanation:

based on true events

Answer:

A and E

Step-by-step explanation:

A is already given by the basic fact that DE = FG. this makes the 2 lines automatically also congruent.

but this does not tell us anything about EF.

E and F could be very close together or far apart, and still DE = FG can be true in either case.

and that is why B, C and D could be true, but they are not in all cases true, and therefore these statements are in general false.

The Probability that the mean childhood asthma prevalence for the sample is greater than 2.7% is 0.0357.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

For a Normal Distribution, the z-score formula

[tex]z = \dfrac{X-\mu}{\sigma}[/tex]

Here X is the mean and sigma is the standard deviation.

Mean of 2.25​% = 2.25​

The standard deviation of 1.27%, sigma = 1.27

For Sample 31 the value of the standard deviation is

s = 1.27/√31

s = 0.2442

Substituting the values

Z = ( 2.25 -1.27)/0.2442

Z = 1.8

the p-value from the graph of z and p = 0.9643

To determine value of probability greater than X is 1 - 0.9643 = 0.0357

The Probability that the mean childhood asthma prevalence for the sample is greater than 2.7% is 0.0357.

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Answer:

y=15 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

There are 18 blocks in the first row

Calculate the number of blocks on the first row

The ruin is given as:

Ruin = 49

The common difference is given as:

d = -2

The number of block on each row is then represented as:

Blocks = 48 - 2n

Where n represents the number of rows.

In this case, the first row would have a value of n = 15

So, we have:

Blocks = 48 - 2 * 15

Evaluate

Blocks = 18

Hence, there are 18 blocks in the first row

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The statements that describe the fraction bar diagram shown are:

B. Each part of the whole fraction bar is equal to one-seventh.

C. The shaded portion of the fraction bar represents a unit fraction.

E. Each part represents a unit fraction.

A fraction bar is a visual representation of fractions that helps in comparing fractions and carrying out operations with fractions.

Here,  each part of the whole fraction bar is equal to one-seventh, the shaded portion of the fraction bar represents a unit fraction, and each part represents a unit fraction.

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The given,matrix is [1  -4  5  -7] Thus, the correct option is A [3  -12  15  -21].

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

The given, a matrix is

[1  -4  5  -7]

The product will be

3. [1  -4  5  -7]

[3  -12  15  -21]

Thus, the correct option is A [3  -12  15  -21].

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The percent increase of going from 40 to 60 is 50%.

We have the Formula

Percent Increase = (New Value - Original Value) / Original Value x 100

As, the values changes from 40 to 60.

So, Percent Increase = (60 - 40) / 40 * 100

Percent Increase = 20 / 40 * 100

Percent Increase = 0.5 * 100

Percent Increase = 50%

Therefore, going from 40 to 60 represents a percent increase of 50%.

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Answer:

66

Step-by-step explanation:

this is actually an almost trick question because it wants to confuse you!

Here's the trick

to work out a mean (average) you add all the components together then divide by the amount of groups.

but here they didn't give you components just the mean of the classes...both of them.

the question says "The mean fpor class A is 66, the mean score for BOTH classes is 66"

so this means that Class B's mean score is 66 too

hope this helps

Answer:

c

Step-by-step explanation:

the -2 causes a shift 2 units right

Answer:

the radius is 2.02

Step-by-step explanation:

use the formula to solve the radius of a cylinder

Answer:

Lamar wants to predict the number of customers who may be interested in going to a music festival when a ticket to the festival costs $25. Using survey data, Lamar drew a line of best fit to make his prediction. Which should Lamar predict to be the number of customers interested in attending the music festival when the ticket price is $25?/

Answer:

$1605

Step-by-step explanation:

Because this is simple interest, you can convert the 7% into a decimal

Because she payed an EXTRA 7% she payed 107% total

107% is the equivalent to 1.07

By multiplying 1500 x 1.07 = 1605

Answer:

theta = pi/6 and

theta = 5pi/6

Step-by-step explanation:

see image. Factor the expression. Solve for sin theta. Then use a calculator or unit circle to solve for theta. See image.

Let's simplify the problem down a little:

 ⇒ set 'sin(θ)' as x

    ⇒ the new equation looks like: [tex]2x^2+5x-3=0[/tex]

Now let's solve this equation as a quadratic:

 [tex]2x^2+5x-3=0\\(2x-1)(x+3)=0\\\\2x-1=0\\x = \frac{1}{2} \\\\x+3 = 0\\x=-3[/tex]

Now set the x value of '1/2', to sin(θ)

         sin(θ) = 1/2

            θ = π/6, which is between the range given

Answer: π/6

Hope that helps!

So we replace "x" with the necessary value (-7):

[tex]f( - 7) \: = \: 5(4 \: - \: ( - 7))[/tex]

[tex]f( - 7) \: = \: 5(4 \: + \: 7)[/tex]

[tex]f( - 7) \: = \: 5 \: \times \: 11[/tex]

[tex]f( - 7) \: = \: \boxed{ \bold{55}}[/tex]

[tex] \boxed{ \bold{55}}[/tex]

Answer:

[tex]a=1\\\\b=7[/tex]

Step-by-step explanation:

[tex]\dfrac{x^2 (y^3)^4}{xy^5}\\\\\\=x^{2 -1} \cdot \dfrac{y^{3 \times 4}}{y^5}\\\\\\=x^1 \cdot \dfrac{y^{12}}{y^5}\\\\\\=x^1 \cdot y^{12-5}\\\\\\=x^1 \cdot y^7\\\\\text{Hence a = 1, b = 7}[/tex]

8v + 3 -4v = 4v + 5 -3 has infinitely many solutions

7v - 11 = 7v + 11 has no solution

3(v-4) = 2(v-6) has one solution

5(2v+3) - 2 = 12v + 12 -2v has no solution

A linear equation is said to have infinitely many solution when the variable term and the constant term are the same on both sides of the equation.

A linear equation is said to have no solution, if the coefficient of the variable term is zero and the constant term a non-zero term

A linear equation is said to have one solution if the coefficient of both the constant term and the variable terms are no zero.

Analysis:

8v + 3 -4v = 4v + 5-2

4v +3 = 4v+3

The equation has an infinitely many solutions

7v-11 = 7v+11

7v-7v = 11+11

0v = 22

The equation has no solution since the coefficient of the variable term is 0

3(v-4) = 2(v-6)

3v -12 = 2v - 12

v = 12-12 = 0

The equation has one solution

5(2v+3) -2 = 12v + 12-2v

10v+15-2 = 10v +12

0v = -1

The equation has no solution.

In conclusion,

8v + 3 -4v = 4v + 5 -3 has infinitely many solutions

7v - 11 = 7v + 11 has no solution

3(v-4) = 2(v-6) has one solution

5(2v+3) - 2 = 12v + 12 -2v has no solution

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Answer: Absolute value function

The type of parent function is f(x)= |x| is Absolute valued function

An absolute value function is a function that contains an algebraic expression within absolute value symbols.

Given function:

f(x)= |x|

As, we know the modulus generally give the absolute value of any function and also the modulus always give the positive value.

The above property perfectly resemble the absolute valued function.

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Based on the distance to the end of the hike and the distance to the scenic lookout, we can calculate that the straight route is 2 km shorter than the scenic lookout route.

If Maria took the straight route to the end of the Hike from the coordinates, (4, -4) to (-5, 5), she would have to walk 13 km.

If she went the scenic lookout route, she would have to first go to (2,3) before going to (-5,5) which is 15 km.

The difference is:

= 15 - 13

= 2 km

A more readable version of the question is:
Maria is on a hike. If she hikes to the scenic lookout on the following map first, she will have to hike farther than if she went straight to the end of the hike.

3 connected points on a coordinate plane. The point labeled, "Maria," is at 4, -4. The point labeled, "end," is at -5, 5.

A solid line connect the points "Maria" and "end." The point labeled, "scenic lookout," is at 2, 3. Dashed lines connect "Maria" to "scenic lookout" and connect "scenic lookout" to "end."

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Answer:

2KM

Step-by-step explanation:

The probability of randomly selecting a tree or a flower is 8/15.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability of randomly selecting a tree or a flower = (number of trees / total number of flash cards) + (number of flowers / total number of flash cards)

8/30 + 8/30 = 16/30  = 8/15

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Answer:

1 pound is equivalent to 453.59237 Grams.

✎let's answer it :3

☟ answer

-> ( 453.59237 grams )

hope it helps

Answer:

When 6x - 4 = 8, x = 2.

Step-by-step explanation:

6x - 4 = 8

Add 4 to both sides.

6x = 12

Divide both sides by 6.

x = 2

Proof:

6x - 4 = 8

Substitute variable.

6(2) - 4 = 8

Multiply 6 and 2.

12 - 4 = 8

Subtract 4 from 12.

8 = 8

Answer:

x is 2

Step-by-step explanation:

Simplify equation

What happens to one side must happen to the other

Add 4 to both sides

This tells us 6x is 12

Divide both sides by 6

X is 2

The two column proof for the given angle addition has been carried out below.

1) m∠CZE = m∠1 + m∠2

Reason: Angle Addition Property

2) m∠FXH = m∠3 + m∠4

Reason: Angle Addition Property

3) m∠CZE = m∠FXH

Reason: Given

4) m∠1 + m∠2 = m∠3 + m∠4

Reason: Substitution Property

5) m∠1 = m∠3

Reason: Subtraction Property

6) m∠3 + m∠2 = m∠3 + m∠4

Reason: Substitution Property

7) m∠2 = m∠4

Reason: Subtraction Property

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{6\div2(1 + 2)}[/tex]

[tex]\mathsf{= \dfrac{6}{2}(1 + 2)}[/tex]

[tex]\mathsf{= \dfrac{6}{2}\times(1 + 2)}[/tex]

[tex]\mathsf{= \dfrac{6}{2}\times \bf 3}[/tex]

[tex]\mathsf{= \bold{3}\times3}[/tex]

[tex]\mathsf{= \bf 9}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{9}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex]\huge\sf\color{red}{Answer:}[/tex]

Formula:

Lets solve : )

So the answer would be [tex]\large\sf\color{red}{16}[/tex]

Step-by-step explanation:

From what I know

3x-1=0

3*(-2)-1=0

-6-1=0

=-7.

I'm not sure but u can try it.

The value of f(-2) in this function is f(-2) = -7

To solve this expression, just replace 'x' with -2. When the expression is ready, let's calculate it.

First we multiply or divide, then add or subtract.

f( x ) = 3x - 1

f(-2) = 3 · (-2) - 1

f(-2) = -6 - 1

f(-2) = -7

So, the alternative value is f(-2) = -7