what is a first step to solve 6 + 7?​

Volume of the cylinder is 1017.9 cubic meters.

The formula for the volume of a cylinder is given by V = πr²h, where V is the volume, r is the radius of the base, and h is the height of the cylinder. To use this formula, we need to first find the radius of the base, which is half of the diameter.

The diameter of the base is given as 12m, so the radius is 6m. The height is given as 9m. Using the formula, we can calculate the volume of the cylinder as:

V = π × 6² × 9

V = 1017.87 cubic meters (rounded to the nearest tenth)

Therefore, the volume of the cylinder is approximately 1017.9 cubic meters.

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There are 120 different combinations of 3 programmers that can be chosen to transfer to the new department

From the question, we have

Total number of programmers, n = 10

Numbers to programmers to select, r = 3

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 10 and r = 3

Substitute the known values in the above equation

Total = ¹⁰C₃

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 10!/(7! * 3!)

Evaluate

Total = 120

Hence, the number of ways is 120

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Answer:

B) x=-3

Step-by-step explanation:

-3(4x-2)=42

4x-2=42/-3

4x-2=-14

4x=-14+2

4x=-12

x=-12/4

x=-3

Answer:

The pattern is a repeated triangle and circle.

So, the next shape would be a triangle and a circle.

Step-by-step explanation:

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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Answer:

\(\frac{9\sqrt{13} }{2}\) [x²] + C

Step-by-step explanation:

Required:

indefinite integral of  ∫ 9x √13 dx

To solve this, follow these steps:

(i) Place the constant values 9 and √13, at the front of the integral

9√13 ∫x dx

(ii) Now find the integral of x with respect to x by applying the power rule

9√13 [\(\frac{x^2}{2}\)] + C

\(\frac{9\sqrt{13} }{2}\) [x²] + C           [Where C is any constant]

Therefore the indefinite integral of the given expression is \(\frac{9\sqrt{13} }{2}\) [x²] + C

The formula provides insights into the relationship between price and demand for Papa's Fried Chicken, indicating how changes in price affect the number of buckets of chicken sold.

From the formula b = 100 - 5p, we can infer the following:

The formula represents a linear relationship between the number of buckets of chicken sold (b) and the price per bucket (p).

The coefficient of p, which is -5, indicates that for every increase of 1 unit in the price, the number of buckets sold decreases by 5 units. Conversely, for every decrease of 1 unit in the price, the number of buckets sold increases by 5 units.

The intercept term of 100 represents the maximum number of buckets that can be sold at a price of 0. This suggests that there is a limit to the number of buckets that customers are willing to purchase, regardless of the price.

The formula assumes a downward-sloping demand curve, indicating that as the price increases, the quantity demanded decreases. This aligns with the typical behavior of most goods or services.

The formula implies that there may be an optimal price point where the number of buckets sold is maximized. Finding this price point would involve finding the value of p that maximizes the expression 100 - 5p.

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Answer:

if the length of segment A'B' is 12 units, what is the scale factor of the dilation?

Step-by-step explanation:

Answer:

Frequency: 244

relative frequency: 0.61

Step-by-step explanation:

check: 60:244 = 0.15:x

x = 0.61

The five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

Measures of statistical dispersion, or the spread of the data, include the interquartile range. In addition to the IQR, other names for it include the midspread, middle 50%, fourth spread, and H-spread.

To find the five-number summary and interquartile range for this data set, we first need to find the quartiles.

Step 1: Find the median (Q2)

When a data collection is sorted from least to largest, the median is the midway value. Since there are 12 values in this data set, the median is the average of the sixth and seventh values:

Median (Q2) = (41 + 46)/2 = 43.5

Step 2: Find the lower quartile (Q1)

The lower quartile is the median of the lower half of the data set. Since there are 6 values below the median, we take the median of those values:

Q1 = (32 + 32)/2 = 32

Step 3: Find the upper quartile (Q3)

The upper quartile is the median of the upper half of the data set. Since there are 6 values above the median, we take the median of those values:

Q3 = (50 + 51)/2 = 50.5

Now we have all the information we need to construct the five-number summary and interquartile range:

Minimum: 29

Lower quartile (Q1): 32

Median (Q2): 43.5

Upper quartile (Q3): 50.5

Maximum: 53

Interquartile range (IQR) = Q3 - Q1 = 50.5 - 32 = 18.5

the five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

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We have the following inequality given:

We can start distributing the terms in the rigth and we got:

Now we can subtrcat 12u in both sides of the inequality and we got:

Finally we can add 34 in both sides of the inequalty and we got:

We can multiply both sides of the inequality by -1 and we got this:

Finally dividing by 3 we got:

Hi there!

Answer:

\(\boxed{-12m -3 }\)

Step-by-step explanation:

\(-\frac{3}{4} ( 16 m + 4 )\)

\(= ( - \frac{3}{4} ) ( 16m + 4)\)

\(= ( -\frac{3}{4} ) ( 16 m) + ( - \frac{3}{4} ) (4)\)

\(= -12m - 3\)

Have a great day!

Answer:

- 12m - 3

Step-by-step explanation:

\( - \frac{3}{4} (16m + 4) \\ \\ = - \frac{3}{4} \times 16m - \frac{3}{4} \times 4 \\ \\ = - 3 \times 4m - 3 \\ \\ = - 12m - 3\)

Answer: 48$

Step-by-step explanation:

20% of 40$ is 8$ so its 48$

Answer:

what the other guy said, 48$

Step-by-step explanation:

Answer:  27

====================================================

Work Shown:

a = -3

a^2 = (-3)^2 .... squaring both sides

a^2 = 9

3a^2 = 3*9 .... multiply both sides by 3

3a^2 = 27

------------------

Or you could do it this way

3a^2 = 3(-3)^2 ... replace 'a' with -3

3a^2 = 3(9)

3a^2 = 27

Answer:

2.221992

Step-by-step explanation:

can i have the crown pls ૮ ♡ﻌ♡ა

Answer:

2.221

Step-by-step explanation:

The number 842 is the number whose digit 4 is ten times larger than in the number 384

To solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.

In the number 384, the digit 4 is in the ones place, which means that its value is 4.

To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.

The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.

Therefore, the correct answer is 842.

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Answer:9

Step-by-step explanation:

Answer: 390,000,000

Step-by-step explanation: ^

The value of x for the chord is:

x = 12

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc.

Recall that: If two chords intersect inside the circle, then they cut each other in such a way that the product of the lengths of the parts is the same for the two chords.

Using the above principle, we can say:

3 * x = 4 * 9

3x = 36

x = 36/3

x = 12

Thus, the value of x for the chord is 12.

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Answer: 16

Step-by-step explanation:

To get from 3 to 12, you multiply by 4

To get from 5 to 20, you multiply by 4

So you just multiply 4 by 4 to get x

Answer:

x = 16

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{x}{4}\) = \(\frac{20}{5}\) = 4 ( multiply both sides by 4 to clear the fraction )

x = 16

Answer:

40 students are in the class :)

Step-by-step explanation:

35%=14

1%=14/35=0.4

0.4*100=40=100%

Answer:

y=42h  or h=y/42

Step-by-step explanation:

The constant would be the number of yards of yarn required for each hat .

Answer:

130

Step-by-step explanation:

X is the alternate corresponding angle to 50.   50+y=180

y=130

x and y = the  same thing so 130 is the value of x

The angle of the T in the ΔRST is 100° and the value of p is 11.

Define Triangle.

A triangle is a polygon that consists of three sides and three vertices. The fact that the interior angles of a triangle add up to 180 degrees is the most crucial aspect of triangles. This characteristic is known as the angle sum property of a triangle.

i.e., In a give ΔABC, ∠A + ∠B + ∠C = 180°.

Given:

∠R = 37°; ∠S = 43°; ∠T = 10p-10°

Let's take ∠T = x

In ΔRST,

∠R + ∠S + ∠T = 180°

37 + 43 + x =  180°

x = 180 - 80 ⇒ 100

∴ ∠T = 100°

To find the value of p,

 ∠T = 100

10p - 10 = 100

10p = 110 ⇒ 11

∴ p = 11

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y= -4

Since the equation can be written in the form  y = kx, y directly with k and x.

The constant of variation,  k , is  − 4 - 4 .

Answer:

y =-4

Step-by-step explanation:

hope this helps

please give me a heart

Answer:

The formula for finding the area of a circle using its radius is:

The formula for finding the area of a circle using its radius is:A = πr²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14

Step-by-step explanation:

Hope it Helps

The formula for finding the area of a circle using its radius is π * r².

The formula for finding the area of a circle using its diameter is (π/4) * d².

The formula for finding the area of a circle using its radius is:

A = π * r²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

r represents the radius of the circle.

If you have the diameter of the circle instead of the radius, you can use the following formula:

A = (π/4) * d²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

d is the diameter of the circle.

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5 is the difference between the two numbers 12 and 7.

Given,

In the question;

The difference between 3 times a number and 7 is 5.

Write and solve an equation to determine the number.

Now, According to the question:

Let's assume the unknown number to be x,

so three time the number would be 3x.

The difference between 3 times a number (3x) with 7 is 5, so we can write it as:

3x - 7 = 5

Now we can solve this equation to the find x (the unknown number).

3x = 5 + 7

3x = 12

x = 12/3

x = 4

Therefore 3x= 12

So, 5 is the difference between the two numbers 12 and 7.

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