Which of the following is equivalent to 12x + 6?

Answer:

360 tons

Step-by-step explanation:

Coke burned : cast iron = 15 : 16

The smelter produces 384 tons of cast iron a day

Let x = tons of coke burned

Coke burned : cast iron = x : 384

Equate both ratios

15 : 16 = x : 384

15/16 = x/384

Cross product

15 * 384 = 16 * x

5,760 = 16x

x = 5,760/16

x = 360

x = tons of coke burned = 360 tons

Russ Krieger, Don Hicks, Pamela Drake, and Stephanie Braun are the four friends who received sports scholarships. Krieger has a full ride as a star in two different sports.

Based on the given clues, we can deduce the full names of the four friends who received sports scholarships.

From clue 1, we know that Hicks and Russ play on the same men's volleyball team. Therefore, one of the friends must be Don Hicks.

From clue 2, we learn that Drake and Braun have both set women's records in swimming. Therefore, one of the friends must be Stephanie Braun.

From clue 3, it is stated that Stephanie and Drake went to the same high school. Combining this information with clue 2, we can conclude that Pamela Drake is the full name of one of the friends.

Lastly, we know that Krieger has a full ride because he is a star in two different sports. Since the other three friends have been assigned their full names, it follows that Russ Krieger is the remaining friend.

In summary, the four friends who received sports scholarships and their full names are: Russ Krieger, Don Hicks, Pamela Drake, and Stephanie Braun.

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The full names of the friends based on the provided clues are Russ Hicks, Pamela Drake, Stephanie Braun, and Don Krieger.

The question involves a puzzle which requires using deduction and logical thinking skills to solve, typically found in mathematics problems.

Based on the clues provided:

Thus, the full names of the friends are Russ Hicks, Pamela Drake, Stephanie Braun, and Don Krieger.

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Answer:

x intercept: none

y intercept=: (0,-12)

a. The decision rule for the 0.050 significance level is to reject the null hypothesis H0: ρ ≤ 0 in favor of the alternative hypothesis H1: ρ > 0 if the test statistic is greater than the critical value.

b. The value of the test statistic can be calculated using the sample correlation coefficient r and the sample size n.

c. Based on the test statistic and the significance level, we can determine if we can conclude that the correlation in the population is greater than zero.

a. The decision rule for a significance level of 0.050 states that we will reject the null hypothesis H0: ρ ≤ 0 in favor of the alternative hypothesis H1: ρ > 0 if the test statistic is greater than the critical value. The critical value is determined based on the significance level and the sample size.

b. To compute the test statistic, we use the sample correlation coefficient r, which is given as 0.77. The test statistic is calculated using the formula:

t = \((r * \sqrt{(n - 2)} ) / \sqrt{(1 - r^2)}\),

where n is the sample size. In this case, since the sample size is 16, we can calculate the test statistic using the given correlation coefficient.

c. To determine if we can conclude that the correlation in the population is greater than zero, we compare the test statistic to the critical value. If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is evidence of a positive correlation in the population. If the test statistic is not greater than the critical value, we fail to reject the null hypothesis and do not have sufficient evidence to conclude a positive correlation.

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Answer:

Step-by-step explanation:

so first make an equation...

10x=2x-32

then do distributive property

10x-2x=2x-32-2x

8x=-32

then divide negative 32 by 8

x= negative 4

Answer:21

Step-by-step explanation:9+10=21

Answer:

ok nlol how u been

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

Step 1: Substitute h(x) for -9

-9 = 4x - 1

Step 2: Solve for x

-8 = 4x

x = -2

Answer:

x = -2.

Step-by-step explanation:

h(x) = 4x - 1, h(x) = -9.

-9 = 4x - 1

4x - 1 = -9

4x = -8

x = -2

Check your work!

4 * (-2) - 1

= -8 - 1

= -9

Since it works out, x = -2.

Hope this helps!

Answer:

-27/5     -5 7/20      -√29       -5.39

Good Luck!!!

Answer:

A=1/3Bh

Step-by-step explanation:

the volume is 1/3 area of the base times height, since you didn't give me any thing to work with, thats the formula, and you can find the height of the pyrimid using pothagrean theorem

The probability that the sum of the numbers rolled is either even or a multiple of 5 is 22/36 or 11/18.

The probability that the sum of the numbers rolled is either a multiple of 3 or a multiple of 4 is 20/36 or 5/9.

The outcomes of rolling two dices together are:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6).

The sum of the outcomes on the dice are:

2, 3, 4, 5, 6, 7,

3, 4, 5, 6, 7, 8,

4, 5, 6, 7, 8, 9,

5, 6, 7, 8, 9, 10,

6, 7, 8, 9, 10, 11,

7, 8, 9, 10, 11, 12.

Now, we are asked for the probability that the sum of the numbers rolled is either even or a multiple of 5.

Favorable outcomes = 2, 4, 5, 6, 4, 5, 6, 8, 4, 5, 6, 8, 5, 6, 8, 10, 6, 8, 10, 8, 10, 12.

Thus, the number of favorable outcomes = 22.

The total number of outcomes = 36.

Thus, the probability that the sum of the numbers rolled is either even or a multiple of 5 is 22/36 or 11/18.

Now, we are asked for the probability that the sum of the numbers rolled is either a multiple of 3 or a multiple of 4.

Favorable outcomes = 3, 4, 6, 3, 4, 6, 8, 4, 6, 8, 9, 6, 8, 9, 6, 8, 9, 8, 9, 12.

Thus, the number of favorable outcomes = 20.

The total number of outcomes = 36.

Thus, the probability that the sum of the numbers rolled is either a multiple of 3 or a multiple of 4 is 20/36 or 5/9.

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The standard deviation for American women aged 20 to 29 years old is 3.81 inches.

To find the standard deviation, we need to use the formula for a normal distribution:

z = (x - μ) / σ

where z is the z-score, x is the height, μ is the mean height, and σ is the standard deviation.

We know that 80% of women in their 20s are between 60.8 and 67.6 inches tall, which means that the range of z-scores is from -1.28 to 0.84 (using a standard normal table).

We can set up two equations using the z-score formula:

-1.28 = (60.8 - μ) / σ

0.84 = (67.6 - μ) / σ

Solving for σ in either equation gives us the standard deviation:

σ = (67.6 - μ) / 0.84

Plugging this into the first equation, we can solve for μ:

-1.28 = (60.8 - μ) / ((67.6 - μ) / 0.84)

-1.28(67.6 - μ) = 60.8 - μ

-86.048 + 1.28μ = 60.8 - μ

2.28μ = 146.848

μ = 64.4

Therefore, the standard deviation is:

σ = (67.6 - 64.4) / 0.84 = 3.81

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Answer:

12. Not Linear

14. Linear

16. Linear

18. Not Linear

Step-by-step explanation:

The constraint(s) to ensure that the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is:

3X3 <= 4X2

This constraint states that the number of 3 bedroom rentals (X3) must be less than or equal to four times the number of 2 bedroom rentals (X2). This ensures that the ratio of 3 bedroom rentals to 2 bedroom rentals does not exceed 4 to 1.

For example, if there are 10 2 bedroom rentals (X2), the constraint would be:

3X3 <= 4(10)
3X3 <= 40

This means that the number of 3 bedroom rentals (X3) cannot exceed 40.

The constraint to ensure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is 3X3 <= 4X2.

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Answer:

mdf= 90 degrees

Step-by-step explanation:

(a) To find P(X < 15), we need to standardize the value of 15 using the mean and variance of the distribution.

z = (15 - 20) / sqrt(25) = -1

Now, we can use a standard normal distribution table or calculator to find the probability. Using a standard normal table, we find:

P(Z < -1) = 0.1587

Therefore, P(X < 15) = P(Z < -1) = 0.1587.

(b) To find P(X > 30), we once again need to standardize the value of 30.

z = (30 - 20) / sqrt(25) = 2

Using a standard normal table, we find:

P(Z > 2) = 0.0228

Therefore, P(X > 30) = P(Z > 2) = 0.0228.

(c) To find P(18 ≤ X ≤ 25), we need to standardize both values using the mean and variance of the distribution.

z1 = (18 - 20) / sqrt(25) = -0.4

z2 = (25 - 20) / sqrt(25) = 1

Using a standard normal table, we find:

P(-0.4 ≤ Z ≤ 1) = P(Z ≤ 1) - P(Z ≤ -0.4)

= 0.8413 - 0.3446

= 0.4967

Therefore, P(18 ≤ X ≤ 25) = P(-0.4 ≤ Z ≤ 1) = 0.4967.

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To calculate a complex number in polar form using Euler's formula, you can use the following steps:

1. Write the complex number in polar form
2. Use Euler's formula to write the complex number in exponential form
3. Simplify the expression using algebraic rules
4. Write the result in rectangular form (a+bi)

Given z = (2/3)e^(pi/3), we can write it in polar form as z = 2/3 ∠(π/3).

To use Euler's formula, we substitute e^(iθ) for ∠θ and obtain:

z = 2/3 e^(iπ/3)

We can now simplify the expression using the following identities:

e^(ix) = cos(x) + i sin(x)
e^(iπ) = -1

Substituting these expressions into our equation, we obtain:

z = 2/3 (cos(π/3) + i sin(π/3))

Simplifying this expression, we get:

z = 2/3 (1/2 + i √3/2)
z = 1/3 + i √3/3

Therefore, the rectangular form of the complex number is (1/3 + i √3/3).

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The height of the cylinder is approximately 2.93 cm.

We can use the formula for the volume of a cylinder which is given as:

V = π\(r^2h\)

where V is the volume, r is the radius of the circular base, h is the height of the cylinder and π is the mathematical constant pi.

We are given that the area of each base is 124 cm^2, which means that πr^2 = 124. Therefore, the radius of the circular base can be found as:

r^2 = 124/π

r ≈ 6.28 cm (rounded to 2 decimal places)

The volume of the cylinder is given as 116π \(cm^3\). Substituting the values of r and V in the formula, we get:

116π = π\((6.28)^2h\)

Simplifying the equation:

116 = \((6.28)^2h\)

h =\(116/(6.28)^2\)

h ≈ 2.93 cm (rounded to 2 decimal places)

Therefore, the height of the cylinder is approximately 2.93 cm.

In conclusion, we can find the height of a cylinder by using its volume and the area of its base by plugging the values in the formula for the volume of a cylinder. In this problem, the height of the cylinder is approximately 2.93 cm.

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Answer:

The correct option is;

The fourth option

Please the attached drawing created with MS Visio

Step-by-step explanation:

From the given figure, we have;

The orientation of ΔSTU is equal to the orientation of ΔS'T'U'

When the plane of reflection is assumed to be the y-axis, we have;

For a reflection about the y-axis, we have;

The coordinate of the preimage = (x, y)

The coordinate of the image after the reflection = (-x, y)

When the image (-x, y) is reflected again across the y-axis, and becomes the image, we have;

The coordinate of the preimage = (-x, y)

The coordinate of the image after the reflection = (x, y)

Therefore, a reflection twice across the same y-axis would result in an image having the same orientation as the preimage

Given that a y-axis is parallel to another y-axis, we have;

A reflection twice across two parallel axis would result in an image having the same orientation as the preimage

The correct option is the 4th option

Please see attached drawing created with MS Visio

Answer:

the fourth one

Step-by-step explanation:

The pre-image and image of the translation are given.

To find the lines of reflection, locate a midpoint M of the translation vector between any two corresponding points on the pre-image and image.

The figure shows two congruent triangles S T U and S prime T prime U prime.

Then find the midpoints of SM and MS'.

The figure shows the same triangles S T U and S prime T prime U prime as in the previous figure. Point K is a midpoint of segment M S. Point N is a midpoint of segment M S prime.

The lines of reflection are perpendicular to the vector and intersect with the vector at the second set of midpoints by the Theorem of composition of two reflections across two parallel lines.

The figure shows the same triangles S T U and S prime T prime U prime as in the previous figure. There are two lines. The first line passes through point K. The second line passes through point N. These lines are perpendicular to segment S, S prime.

Therefore, the correct graph is the fourth one.

The correct answer is: c. 8:9 and 64:81. The ratio of the areas of the first figure to the second figure is 64:81. This means that the area of the second figure is larger by a factor of 81/64 compared to the first figure.

When two figures are similar, their corresponding sides are proportional. This means that the ratio of the perimeters is equal to the ratio of the corresponding side lengths. Additionally, the ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.

In this case, the ratio of the perimeters of the first figure to the second figure is 8:9. This means that the perimeter of the second figure is larger by a factor of 9/8 compared to the first figure.

The ratio of the areas of the first figure to the second figure is 64:81. This means that the area of the second figure is larger by a factor of 81/64 compared to the first figure.

Therefore, the correct answer is c. 8:9 and 64:81.

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The linear distance traveled in one revolution of a wheel can be calculated using the formula:

Circumference = π * Diameter

Given that the diameter of the wheel is 36 inches, we can substitute the value into the formula:

Circumference = π * 36 inches

Using an approximate value of π as 3.14159, we can calculate the circumference:

Circumference ≈ 3.14159 * 36 inches

Circumference ≈ 113.09724 inches

Therefore, the linear distance traveled in one revolution of a 36-inch diameter wheel is approximately 113.09724 inches.

The exponential regression equation for this set of data is y = \(14.129e^{(0.495x)\) and the number of bacteria present after 10 hours is approximately 24684.

The exponential regression equation for this set of data can use a calculator or spreadsheet software.

The equation will have the form y = abˣ a is the initial number of bacteria and b is the growth rate.
Using the given data can create a table of values for the equation:
x                y                   ln(y)
---------------------------------------
0              16                2.773
1               66               4.189
2             311                5.739
3            791                6.672
4          1553                7.349
5          2571               7.853

A regression tool can find that the equation is approximately y = \(14.129e^{(0.495x)\) rounded to three decimal places.

The initial amount of bacteria is approximately a = 14.129 and the growth rate is approximately b = 1.649.
The number of bacteria present after 10 hours can plug x = 10 into the equation:
y = \(14.129e^{(0.495\times 10)\)

= 24683.522
Rounding to the nearest whole number get that the number of bacteria present after 10 hours is approximately 24684.

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Answer:

5.25

Step-by-step explanation:

4.20 ÷ 12 = 0.35

0.35 x 15 = 5.25

Answer:

I believe that the answer is a

Step-by-step explanation:

tangent is

opposite/adjacent

Answer:

442265

Step-by-step explanation:

Answer:

yall could have not left me you know

Step-by-step explanation:

i mean at least you could have said bye but you didn't i still havn't found friends half as good as yall

Yes, it is possible to find a limit at a location where there is a hole in a graph , such as where a point has been removed or where a graph abruptly stops.

This is because the limit of a function is defined as the value that the function approaches as x approaches a given value. In the case of a hole in the graph, the limit is found by looking at the limit from the left, the limit from the right, and the general limit.

The limit from the left is the limit of the function as x approaches the hole from the left. The limit from the right is the limit of the function as x approaches the hole from the right. The general limit is the overall limit of the function at the point where the hole appears. By considering all of these limits, it is possible to determine the overall limit of the function at the point where the hole is present.

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For the last problem, the equation is x + 1/x = y (let y be the sum).

This is a quadratic equation that can't be solved without a specific value for y.

For the first problem, let the smaller integer be (x-2) and the larger be x. From the equation (x-2)² + x² = 394, solving for x yields

x=14 and x-2=12.

For the second problem, let the fraction be (x+5)/x.

After adding 3 to both the numerator and denominator, the fraction becomes (x+8)/(x+3).

As given, (x+8)/(x+3)=1, solving for x yields x=5, making the original fraction 10/5 or 2.

For the last problem, the equation is x + 1/x = y (let y be the sum).

This is a quadratic equation that can't be solved without a specific value for y.

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Answer:

a group of words that share the same spelling and pronunciation but have different meanings.

Answer:

If they are pronounced the same then they are also homophones (and homonyms) – for example, bark (the sound of a dog) and bark (the skin of a tree). If they are pronounced differently then they are also heteronyms – for example, bow (the front of a ship) and bow (a ranged weapon).

The points of intersection on both axes are (1, 0) and (0, 3), respectively. The distance of the x-intercept from point (0, 0) is 1 and the distance of the y-intercept from point (0, 0) is 3.

Let be the linear function f(x) = - 3 · x + 3, linear functions whose intercept are distinct of zero has two points of intersection, one for each axis. Now we proceed to find each of the two points:

x-Intercept

0 = - 3 · x + 3

- 3 · x = - 3

x = 1

y-Intercept

y = - 3 · 0 + 3

y = 3

The points of intersection on both axes are (1, 0) and (0, 3), respectively. The distance of the x-intercept from point (0, 0) is 1 and the distance of the y-intercept from point (0, 0) is 3.

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Answer:

32 dollars

Step-by-step explanation:

I think the answer is $32 because 14-12 is 2 and if you multiply 16 times 2 that's how I got the answer. I could be wrong I am sorry if I am.