4x = 16
Step by step please
Pre algebra

Given Data:

The diameter of the container is 3 inches.

The height of the container is 9 inches.

The area of base can be determined as,

Thus, option (i) is incorrect.

The volume can be determined as,

Thus, option (ii) is correct.

The volume of the container the the nearest tenth can be determine as,

Thus, option (iii) is correct.

Thus, only option (ii) and (iii) are correct.

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\(\large \bold {ANSWER}\)

\(\large \boxed { \large \sf \green{ A. y= -4x+2 }}\)

\(\large \bold {SOLUTION}\)

Convert y - 6 = -4(x + 1) to slope intercept form.

First thing that we need to do is to distribute -4 to all terms within the parenthesis properly.

Hence, we will add 6 both sides:

Therefore, the equation describes the same line as y - 6 = -4(x + 1) is y = -4x + 2. (letter A.)

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Answer:

7. 32

8. 68

9. 16

10. 29

Step-by-step explanation:

7. =90°-58

=32

8. =68°

9. = (1 + 5x)°

= (1 + 5(16)°

=81

10. = (2x + 3)°

= (2(29) + 3)°

= 61°

Answer:   325

Step-by-step explanation        212 + 113 = 325

Answer:

Part A - C, 2 1/2 + 1 1/3 x > 6

Part B - number of days = 3

Step-by-step explanation:

by 12 % seconds

Answer:

38.4895cm²

Step-by-step explanation:

The area=3.142×(3.5cm)²=38.4895cm²

Answer:

The Area of circle is 34.49cm

Step-by-step explanation:

⟼ Area of a circle = \( \sf \pi {r}^{2} \)

where,

⟼ Area = (3.142)(3.5)(3.5)

⟼ Area = (3.142)(12.25)

⟼ Area = 38.4895cm

Answer:

X+14=y

Step-by-step explanation:

Answer: $36.00

For every extra pizza, it will cost eight dollars more. So, the fourth pizza will cost $36.00.

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Answer:

2.4 × 10^6

Step-by-step explanation:

Answer:

2.4 × 10⁶

Step-by-step explanation:

is it like example, 1000 'one thousand' like that?

Answer:

Step-by-step explanation:

when x=means that you have to put your x into your f(x).

So f(5)=9(5)+3

= 45+3

=48

So f(5)=48

Given:-

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Solution:-

\( \: \)

now put the value of x = 5 in equation :

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hope it helps:)

Answer: Exact solutions are x = 2√2 and x = -2√2

Approximate solutions are x = 2.828 and x = - 2.828

The attachment shows a portion of the graph with this equation. The "zeros" are the solutions.

Step-by-step explanation: To get values for x, we need to isolate x

2x² -6 = 10  Add 6 to both sides and rewrite the equation as

2x² = 16  divide both sides by 2

x² = 8   Factor 8 as 4(2) so you can "pull out" a square.

To solve for x, take the square roots of both sides.

Remember that square roots are positive and negative values.

\(\sqrt{x^2}\) = ± \(\sqrt{4(2)}\)

x = ± 2√2

x = 2√2 and  x = -2√2

We can use a calculator to get approximate values of x.

\(2\sqrt{2}\) =  ±2.828427125

Round that to x =  2.828 or 2.83 AND x = - 2.828 for approximate values.

k = 1/3 when two parabolas open up with f of x passing through negative 3 negative 3 and g of x passing through negative 1 negative 3.

We must consider how the graph of f(x) gets transformed into the graph of g in order to determine the k value for the transformation of f(x) in the format g(x) = f(kx).(x). The vertex of a parabola is its lowest or highest point, depending on whether it is opening up or down, thus we can use the vertex coordinates of f(x) and g(x) to get the k value.

We know the vertices of both parabolas will be the lowest points on each graph because they both open up. Given that g(x) goes through and f(x) passes through (-3, -3), (-1, -3). We stretch or compress f(x) horizontally by a factor of k to convert it to g(x).

The x-coordinates of the parabolas' vertices can be used to determine k because it is where the horizontal compression takes place. The vertex of the quadratic function, f(x), has an x-coordinate of -b/2a, where b and an are its coefficients. Because f(x) is a parabola that is widening up in this instance, an is positive and the vertex's x-coordinate is -(-6)/(2*1) = 3. We can utilize this information to solve for k because the vertex of g(x) has an x-coordinate that is also 3k:

-1 = 3*k*(-3)

-1 = -9k

k = 1/9

Therefore, k = 1/3 is the right response.

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Given:

The altitude for checkpoint 2 is -47.

The altitude for checkpoint 3 is -216.

The altitude for checkpoint 4 is 2,001.

Required:

a) we need to find the altitude of checkpoint 4 higher than checkpoint 2.

b) we need to find the altitude of the top of the hill when that rises 329 feet about the checkpoint 3.

Explanation:

a)

The difference between 2001 and -47 is

Checkpoint 4 is 2048 ft higher than checkpoint 2.

b)

Add 329 to the altitude of the checkpoint 3.

The altitude of the top of the hill is 113 ft.

Final answer:

a) Checkpoint 4 is 2048 ft higher than checkpoint 2.

b) The altitude of the top of the hill is 113 ft.

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The angles within the shape will add to 360 degrees. So:

102+100+92+5x+16=360

5x+310=360

5x=50

x=10

Answer:

x = 3

x = (-1)/2

x = 13/4

Step-by-step explanation:

Solve for x:

(2 x)/3 + 15 = 17

Put each term in (2 x)/3 + 15 over the common denominator 3: (2 x)/3 + 15 = (2 x)/3 + 45/3:

(2 x)/3 + 45/3 = 17

(2 x)/3 + 45/3 = (2 x + 45)/3:

1/3 (2 x + 45) = 17

Multiply both sides of (2 x + 45)/3 = 17 by 3:

(3 (2 x + 45))/3 = 3×17

(3 (2 x + 45))/3 = 3/3×(2 x + 45) = 2 x + 45:

2 x + 45 = 3×17

3×17 = 51:

2 x + 45 = 51

Subtract 45 from both sides:

2 x + (45 - 45) = 51 - 45

45 - 45 = 0:

2 x = 51 - 45

51 - 45 = 6:

2 x = 6

Divide both sides of 2 x = 6 by 2:

(2 x)/2 = 6/2

2/2 = 1:

x = 6/2

The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:

Answer:  x = 3

______________________________________________________

Solve for x:

3 x - x + 8 = 7

Grouping like terms, 3 x - x + 8 = (3 x - x) + 8:

(3 x - x) + 8 = 7

3 x - x = 2 x:

2 x + 8 = 7

Subtract 8 from both sides:

2 x + (8 - 8) = 7 - 8

8 - 8 = 0:

2 x = 7 - 8

7 - 8 = -1:

2 x = -1

Divide both sides of 2 x = -1 by 2:

(2 x)/2 = (-1)/2

2/2 = 1:

Answer: x = (-1)/2

_______________________________________

Solve for x:

4 (2 x - 6) = 2

Divide both sides of 4 (2 x - 6) = 2 by 4:

(4 (2 x - 6))/4 = 2/4

4/4 = 1:

2 x - 6 = 2/4

The gcd of 2 and 4 is 2, so 2/4 = (2×1)/(2×2) = 2/2×1/2 = 1/2:

2 x - 6 = 1/2

Add 6 to both sides:

2 x + (6 - 6) = 1/2 + 6

6 - 6 = 0:

2 x = 1/2 + 6

Put 1/2 + 6 over the common denominator 2. 1/2 + 6 = 1/2 + (2×6)/2:

2 x = 1/2 + (2×6)/2

2×6 = 12:

2 x = 1/2 + 12/2

1/2 + 12/2 = (1 + 12)/2:

2 x = (1 + 12)/2

1 + 12 = 13:

2 x = 13/2

Divide both sides by 2:

x = (13/2)/2

2×2 = 4:

Answer: x = 13/4

Answer:

3 groups

Step-by-step explanation:

Sopranos = 12

Altos = 9

Find the highest common factor of 12 and 9

12 = 1, 2, 3, 4, 6, 12

9 = 1, 3, 9

The highest common factor of 12 and 9 is 3

Therefore, the choir teacher can only have 3 groups

12 sopranos / 3 groups

= 4 sopranos per group

9 Altos / 3 groups

= 3 altos per group

Each of the 3 groups Will have 4 sopranos and 3 altos each

The height of the tree to the nearest hundredth of a meter = 7.54 m

What are similar triangles?

If two triangles' corresponding angles and sides are identical and their corresponding sides are proportional, or if the ratios between the lengths of the corresponding sides are comparable, then two triangles are said to be similar.

From the figure,

AB= 21.15 meters

AE = AB - BE = 21.15 - 16.8 = 4.35 meters

BC= height, h

The triangles ABC and ADE are similar triangles

So,

AE/DE  = AB/BC

4.35 / 1.55 = 21.15/  h

h = ( 21.15 * 1.55 ) / 4.35

  = 32.78/4.35 = 7.54 m

So, the height of the tree to the nearest hundredth of a meter = 7.54 m

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The correct statement regarding the shape of the distirbution is given as follows:

Approximately normal because the expected number of successes and failures for each sample are all at least 10.

By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1 - p)}{n}}\), as long as there are at least 10 successes and 10 failures in the sample, that is, \(np \geq 10\) and \(n(1 - p) \geq 10\).

For teachers, we have that:

For students, we have that:

As the conditions are respected, the shape of the sampling distribution is normal.

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The correct options are -

For the stated function.

The graph for the function g(x) is given in the question.

As the slope of function g(x) is most steep for the interval [1,2].

Thus, g(x) increases at a faster rate over the interval [1,2].

The graph for the function f(x) is attached,

f(x) = 3x+ 2

From the graph, it is shown that the slope of the function g(x) is most steep for the interval [0,1].

Thus, f(x) increases at a faster rate over the interval [0,1].

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Answer:

r = \(2\sqrt{5}\)

\((x - 3)^{2} + ( y - 2)^{2} = 20\)

Is this a live test question or a homework question?

Step-by-step explanation:

the radius is the distance between (3, 2) and (5, -2)

\(r^{2}\) = \({(3 - 5)^{2} + (2 + 2)^{2} }\)

    =  \((-2)^{2} + 4^{2}\)

    =  4 + 16 = 20

r = \(\sqrt{20 } = 2\sqrt{5}\)

Equation of circle:   \((x - 3)^{2} + ( y - 2)^{2} = 20\)

Answer:

Radius: \(2\sqrt{5}\)

Equation of circle: \((x-3)^2+(y-2)^2=20\)

Step-by-step explanation:

The radius of a circle is equal to the distance between the center of the circle and any point on the circle. Therefore, we have:

\(r=\sqrt{(5-3)^2+(2-(-2))^2},\\r=\sqrt{2^2+4^2},\\r=\sqrt{20}=\boxed{2\sqrt{5}}\)

The equation of a circle with radius \(r\) and center \((h, k)\) is given by:

\((x-h)^2+(y-k)^2=r^2\).

What we know:

Substituting known values, we get:

\((x-3)^2+(y-3)^2=(2\sqrt{5})^2,\\\boxed{(x-3)^2+(y-2)^2=20}\)

Answer:

Is that the entire question? I want to help but I don't see a full question it looks like half of one

x in (-oo:+oo)

y = (5/4)*x-(7/4) // - (5/4)*x-(7/4)

y-((5/4)*x)+7/4 = 0

(-5/4)*x+y+7/4 = 0

y-5/4*x+7/4 = 0 // - y+7/4

-5/4*x = -(y+7/4) // : -5/4

x = (-(y+7/4))/(-5/4)

x = 4/5*(y+7/4)

x = 4/5*(y+7/4)

The van would need approximately 25 gallons of gas to travel 750 miles.

What is a ratio?

A ratio is a quantitative relationship or comparison between two or more quantities. It represents the relative sizes or amounts of different things. Ratios are expressed using two numbers separated by a colon (:) or by using a fraction.

To solve this problem, we can set up a proportion using the information provided. Let's denote the number of gallons needed to travel 750 miles as "x." The proportion can be set up as follows:

180 miles / 6 gallons = 750 miles / x gallons

To solve for x, we can cross-multiply and then divide to isolate x:

180 * x = 6 * 750

180x = 4500

x = 4500 / 180

x ≈ 25

Therefore, the van would need approximately 25 gallons of gas to travel 750 miles.

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As per the unitary method, it would cost $33 for Kelly and her two friends to bowl one game before 4 pm and one game after 4 pm each at Super Strike Bowling.

Bowling is a popular recreational activity enjoyed by many people around the world. Super Strike Bowling charges different rates for games played at different times of the day. To model the cost for one game, we can use a step function, where the value of x represents the number of hours after 12 pm. This function is defined as follows:

Cost per game (C) =

$5 if 1 pm ≤ x < 4 pm

$6 if 4 pm ≤ x < 8 pm

$8 if 8 pm ≤ x ≤ 12 am

Now, let's apply this step function to the scenario of Kelly and her two friends bowling. They each played one game before 4 pm, which cost $5 per game, and one game after 4 pm, which cost $6 per game. Therefore, the total cost for one person to play two games is:

Total cost = ($5 per game) + ($6 per game)

= $11

Since there were three people bowling, we can multiply the total cost by 3 to get the cost for all three to bowl:

Cost for all three to bowl = 3 × $11

= $33

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Hope it helps you........

The underlined numerical value is a statistic.

It represents a percentage of something related to the movie. Statistics refers to the values calculated from a sample of data and can change depending on the sample chosen. Parameters, on the other hand, refer to values calculated from the entire population and do not change .Discussion :In statistics, parameters and statistics are used to describe sets of data.

Suppose we want to estimate the average age of all Americans. The average age of the entire population is the parameter, while the average age of a sample of Americans is a statistic. Therefore, the parameter is a numerical value that describes a population, while the statistic is a numerical value that describes a sample.In the given case, "64.3%" is a percentage, which is calculated from a sample of data related to the certain movie. As the value is calculated from a sample, it is a statistic and not a parameter.

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Answer:

B. Associative Property of Addition

Step-by-step explanation: