1) The value of y varies directly with x. If x = 3, then y = 13.
Show your work for finding the value of x when y = 39?

Answer:

true

Step-by-step explanation:

if there is no y intercept then it is 0

Answer:

6

Step-by-step explanation:

3k + 5 = 23

3k = 23 - 5

    = 18

k = 18/3

  = 6

Here's your answer :)

Answer:

f(2) = 36

Step-by-step explanation:

Hello!

To find f(x), plug in 2 for x in the original equation.

Solve:

The final solution is 36.

Answer:

Y = 36   or  F = -x+20

^ ^ ^ Not sure about what ur asking, so I put in 2 versions that I know of.

Step-by-step explanation:

Write out the equation:

f(2) = 3x - 5x + 40

If X is 2, then write the equation out as:

Y = 3(2) - 5(2) + 40

Now multiply:

Y = 6 - 10 + 40

Simplify:

Y = 36

_____

Let's solve for f.

f(2)=3x−5x+40

Divide both sides by 2.

2f/2 = −2x+40/2

f=−x+20

Answer:

f=−x+20

Only the 3 is inside the square root.

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

Explanation:

Tangent is the ratio of opposite over adjacent.

We can express tan(theta) as y/x because of this. The point (1/2, m) shows that x = 1/2 and y = m.

So,

tan(theta) = y/x = m/(1/2) = 2m

If we're told that tan(theta) = sqrt(3), then we need to solve the equation below for m

2m = sqrt(3)

m = sqrt(3)/2

The amount Levi spends on this skateboard is $148.39.

Tax is an amount levied on goods and services by the government. Taxes increases the price of goods and services.

The amount Levi spends on this skateboard = value of the tax + cost of the skateboard

value of the tax = 6% x $139.99

0,06 x $139.99 = $8.40

The amount Levi spends on this skateboard = $8.40 + $139.99 = $148.39

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Answer:

Step-by-step explanation:

hey buddy all you do is divide 0.45 by the number 18 so that aswer will be 0.025

Answer:

1/40

Step-by-step explanation:

0.45 divided by 18

rewrite 0.45 as 45/100 divided by 18:

\(\frac{\frac{45}{100}}{\frac{18}{1}}\)

\(\frac{45}{100} / 18 \\\\\frac{45}{100} * \frac{1}{18} \\\)

= 45/1800

1800 can be divided by 45 and gives 40.

so

1/40

Answer:

B- y=-3

Step-by-step explanation:

The coordinates of the midpoint M are (-1, 4).

To find the midpoint M of the line segment AB with endpoints A(2, 1) and B(-4, 7), we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint M(x, y) of two points A(x₁, y₁) and B(x₂, y₂) can be found by taking the average of their respective x-coordinates and y-coordinates:

x = (x₁ + x₂) / 2

y = (y₁ + y₂) / 2

Let's apply the formula to find the midpoint M of AB:

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

= -2 / 2

= -1

y = (1 + 7) / 2

= 8 / 2

= 4

Therefore, the coordinates of the midpoint M are (-1, 4).

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\({\huge{\fbox{\tt{\green{Answer}}}}}\)

______________________________________

To find the midpoint of a line segment, we take the average of the x-coordinates and the average of the y-coordinates. So, for the line segment AB with endpoints A = (2, 1) and B = (-4, 7), the midpoint M is:

→ M = ((2 + (-4)) / 2, (1 + 7) / 2)

M = (-1, 4)

Therefore, the midpoint of the line segment AB is M = (-1, 4).

______________________________________

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

The amount of water that the swimming pool can hold is approximately (πy³)/4 cubic yards.

To calculate the amount of water that the swimming pool can hold, we need to find the volume of the pool. Since the cross-sections of the pool perpendicular to the y-axis are semi-circles, we know that the pool is cylindrical in shape.

To find the volume of a cylinder, we use the formula V = πr²h, where r is the radius of the circular base and h is the height of the cylinder. In this case, the radius of each semi-circle is equal to y/2, and the height of the cylinder is also equal to y.

Therefore, the volume of the cylinder is V = π(y/2)²y = (πy³)/4 cubic yards.

So, the amount of water that the swimming pool can hold is approximately (πy³)/4 cubic yards. This value will vary depending on the value of y.

In conclusion, the volume of the cylindrical swimming pool can be calculated using the formula V = πr²h, where r is the radius of each semi-circle cross-section and h is the height of the cylinder, which is equal to y. The amount of water the pool can hold is then found by evaluating the volume formula for a given value of y.

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Step 5 is saying that because x + 8 is always positive, we can use logarithmic rules to simplify the equation. Specifically, we can write In(x^2 + 8) as In(x + √8) + In(x - √8), and we can combine the two logarithmic terms to get In(x + √8)(x - √8), which simplifies to In(x^2 - 8).

Therefore, the equation becomes In(y) = In(x^2 - 8) + C.

Step 6 involves solving for y and writing the equation in its entirety. To do this, we can use the fact that In(y) = In(e^k), where k is a constant.

Therefore, we can rewrite the equation as e^(In(y)) = e^(In(x^2 - 8) + C).

Using logarithmic rules, we can simplify this to y = e^C * (x^2 - 8)^k, where K = e^C or k = 0. This is the final equation.

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In a parallelogram, opposite sides are equal. Therefore, AB = CD.

5x * 3 = 15 * x

15x = 15

x = 1

Therefore, the value of x is 1.

To find the area of parallelogram ABCD, we can use the formula A = base x height, where the base is the length of side AB and the height is the perpendicular distance between side AB and the opposite side CD. Since the height of parallelogram ABCD is given as 6, we need to find the length of side AB.

From the given information, we know that AB = 5x * 3, where x = 1. Therefore, AB = 15. Now we can calculate the area of parallelogram ABCD as:

A = base x height

A = 15 x 6

A = 90 square units

Therefore, the area of parallelogram ABCD is 90 square units.

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Answer:

2

Step-by-step explanation:

2x - y = -1

-y = -2x - 1

y = 2x + 1

parallel line = same slope

Answer:

obtuse angled triangle

To estimate the hazard of hospitalization for the new drug group (Trt=1) during weeks 11 through 20,calculate the number of person-weeks at risk during this period and the number of hospitalizations that occurred.

From the given data, we can see that in the new drug group (Trt=1), the following hospitalizations occurred during weeks 11 through 20: 11+, 12+, 13+, 17+, 19+, and 20+. The plus sign indicates censoring, which we will assume to be independent of the disease. To calculate the number of person-weeks at risk, we count the number of individuals in the new drug group (Trt=1) who were not censored during weeks 11 through 20. From the given data, we see that the following individuals were not censored during this period: 11+, 12+, 13+, 17+, 19+, and 20+. Therefore, there are 6 individuals who contributed person-weeks at risk. The number of hospitalizations during this period is 6. Now we can calculate the estimated hazard of hospitalization for the new drug group (Trt=1) during weeks 11 through 20 by dividing the number of hospitalizations by the number of person-weeks at risk: Estimated hazard = Number of hospitalizations / Number of person-weeks at risk = 6 / 6 = 1. Therefore, the estimated hazard of hospitalization for the new drug group (Trt=1) during weeks 11 through 20 is 1/1 person-weeks.

Since none of the given options match the calculated result, it appears there may be an error or omission in the given options.

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The probability that the sum of two fair, six-sided dice is between 3 and 11 (inclusive) is approximately 0.7222 or 72.22%. The total number of favorable outcomes is 31 + 15 = 46.

To find the probability that the sum of two fair, six-sided dice is between 3 and 11 (inclusive), we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

The possible outcomes for rolling two dice can be represented by a sample space of 36 equally likely outcomes, as each die has 6 possible outcomes (1, 2, 3, 4, 5, 6).

We can calculate the favorable outcomes by considering the combinations of two numbers that sum to a value between 3 and 11.

To simplify the calculation, we can break down the favorable outcomes into two cases:

1. The sum is between 3 and 7 (inclusive): In this case, we have the following favorable outcomes:

  - (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)

  The total number of favorable outcomes in this case is 31.

2. The sum is between 8 and 11 (inclusive): In this case, we have the following favorable outcomes:

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

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

  - (6, 4), (6, 5), (6, 6)

  The total number of favorable outcomes in this case is 15.

Therefore, the total number of favorable outcomes is 31 + 15 = 46.

Since there are 36 possible outcomes in the sample space, the probability of the sum of two dice being between 3 and 11 (inclusive) is given by:

P(sum between 3 and 11) = favorable outcomes / total outcomes = 46 / 36 = 23 / 18 ≈ 0.7222.

Hence, the probability that the sum of the two numbers showing is between 3 and 11 (inclusive) is approximately 0.7222, or 72.22%.

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Answer:

The answer is that the ball was in the air for 0.56 seconds when it was 54 feet above the ground. This was determined by using the Quadratic Formula to solve the equation 54 = -16s^2 + 96s for the variable s.

Step-by-step explanation:

To solve this equation, we can use the Quadratic Formula, which states that for a quadratic equation in the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

In this case, a = -16, b = 96, and c = -54. Plugging these values into the Quadratic Formula, we get:

s = (-96 +/- sqrt(96^2 - 4 * -16 * -54)) / (2 * -16)

= (96 +/- sqrt(9216 + 4352)) / -32

= (96 +/- sqrt(13,568)) / -32

Since we want the time (in seconds) that the ball was in the air, we need to find the positive solution to this equation. Thus, we have:

s = (96 + sqrt(13,568)) / -32

= (96 + 120) / -32

= 0.5625 seconds

Rounding this value to the nearest hundredth of a second, we get 0.56 seconds. This means that the ball was in the air for 0.56 seconds when it was 54 feet above the ground.

To solve this equation, we used the Quadratic Formula. This method allowed us to find the time (in seconds) that the ball was in the air by solving for the value of the variable s in the given equation. This helped Vue answer his question by providing a numerical value for the amount of time that the ball was in the air when it was 54 feet above the ground.

Therefore, there are 4 vertices in this graph.

Let V be the number of vertices in the graph. The sum of the degrees of all vertices in an undirected graph is twice the number of edges, so in this case, the sum of degrees is 2 * 10 = 20.

We know that two vertices have degree 4, so the degrees of the remaining vertices must add up to 20 - 2 * 4 = 12.

If there are v vertices of degree 3, then the total degree contributed by those vertices is 3v, so we have:

3v + 2 * 4 = 20

3v = 12

v = 4

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The power of substitutes is one of the five forces in Porter's Five Forces framework and it is a measure of how easy it is for customers to switch to alternative products or services. The higher the power of substitutes, the more competitive the industry and the lower the profitability.

The power of substitutes is based on the premise that when there are readily available alternatives to a product or service, customers can easily switch to those alternatives if they offer better value or meet their needs more effectively. This poses a threat to the industry as it reduces customer loyalty and puts pressure on pricing and differentiation strategies.

The availability and quality of substitutes influence the degree to which customers are likely to switch. If substitutes are abundant and offer comparable or superior features, the power of substitutes is strong, increasing the competitive intensity within the industry. On the other hand, if substitutes are limited or inferior, the power of substitutes is weak, providing more stability and protection to the industry.

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The labor hours required for the eighth satellite are calculated to be 51,200 based on a learning curve value of 0.5120 and an expected improvement curve of 80%.

The learning curve concept suggests that as the cumulative production doubles, the labor hours required to produce each unit decrease by a certain percentage. In this case, the learning curve value for the eighth unit is given as 0.5120, which means that the labor hours needed for the eighth satellite is 51.20% of the labor hours required for the first unit.

To calculate the actual number of labor hours, we multiply the learning curve value by the total labor hours required for the first unit. Given that the total labor hours for the first unit is 100,000, we can calculate the labor hours for the eighth satellite as follows: 0.5120 * 100,000 = 51,200.

Therefore, based on the given learning curve value and the expected improvement curve of 80%, the number of labor hours for the eighth satellite is determined to be 51,200.

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The co factors of the given rows is:

First row. = -393  74  287

Second row = 471. 162 91

Third row =251  222 - 349

According to the statement

we have given that a matrix and we have to find the co-factors of data.

So, For this purpose, we know that the

A Co factor, is used to find the inverse of the matrix, adjoined.

So,

For the first row

Co factor of 12= (-8*15)-(21*13)

= -120-273

= -393

Co factor of 23 = (11*15)-(7*13)

= 165-91

= 74

Co factor of -6 = (11*21)-(-7*8)

= 231+56

= 287

For the second row

Co factor of 11 = (23*15)-(21*-6)

= 345+126

= 471

Co factor of -8 = (12*15)-(7*-6)

= 120 + 42

= 162

Co factor of 13 (12*21)-(23*7)

= 252-161

= 91

For third row

Co factor of 7= (23*13)-(-8*-6)

= 299-48

= 251

Co factor of 21 = (12*13)-(11*-6)

= 156+66

=222

Co factor of 15 = (12*-8)-(11*23)

= -96 - 253

=- 349

So, The co factors of the given rows is:

First row. = -393  74  287

Second row = 471. 162 91

Third row =251  222 - 349

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Question:

Select the correct answer from each drop-down menu.

the co factors of the first-row entries are .

the co factors of the second-row entries are .

the co factors of the third-row entries are .

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Answer:

Step-by-step explanation:

Therefore, Andrea has 25 dimes in 37 coins, all nickels and dimes and the value of the 37 coins is $3.10.

Let's represent the number of nickels by "n" and the number of dimes by "d".

From the problem, we know that:

n + d = 37 (equation 1) ---(the total number of coins)

0.05n + 0.1d = 3.10 (equation 2) ---(the total value of the coins in dollars)

To solve for d, we can rearrange equation 1 to get:

n = 37 - d

Substitute this expression for n into equation 2 and simplify:

0.05(37-d) + 0.1d = 3.10

1.85 - 0.05d + 0.1d = 3.10

0.05d = 1.25

d = 25

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Answer: C.51

Step-by-step explanation:

3 2/5*15=51

The number of cell phones that minimizes the cost function is 5,500 units (in thousands).

The maximum height reached by the ball can be found by evaluating the expression h(18.8) which will give you the maximum height in meters.

   To find the number of cell phones that minimizes the cost function, we need to find the value of xx that corresponds to the minimum of the cost function C(x)C(x). The minimum point occurs at the vertex of the parabola.

The cost function is given by C(x)=x2−11x+14087C(x)=x2−11x+14087. To find the vertex, we can use the formula x=−b2ax=−2ab​ where the quadratic function is in the form ax2+bx+cax2+bx+c.

In this case, a=1a=1, b=−11b=−11, and c=14087c=14087. Substituting these values into the formula, we have:

x=−(−11)2(1)=112=5.5x=−2(1)(−11)​=211​=5.5

Therefore, the number of cell phones (in thousands) that minimizes the cost function is 5,500 units.

   To find the maximum height reached by the ball and the time at which it happens, we can examine the given height function h(t)=−2.5t2+94t+15h(t)=−2.5t2+94t+15.

The maximum height corresponds to the vertex of the parabolic function. The formula for the time value of the vertex of a quadratic function in the form ax2+bx+cax2+bx+c is given by t=−b2at=−2ab​.

In this case, the quadratic function is h(t)=−2.5t2+94t+15h(t)=−2.5t2+94t+15. By comparing with the vertex formula, we have a=−2.5a=−2.5 and b=94b=94.

Using the formula, we can find the time at which the maximum height occurs:

t=−942(−2.5)=−94−5=18.8t=−2(−2.5)94​=−−594​=18.8

Therefore, the maximum height reached by the ball is given by h(18.8)h(18.8):

h(18.8)=−2.5(18.8)2+94(18.8)+15h(18.8)=−2.5(18.8)2+94(18.8)+15

Evaluating this expression will give you the maximum height in meters.

Please note that negative time values may not be physically meaningful in this context, so consider the positive time value that corresponds to the maximum height.

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Answer:

D

Step-by-step explanation:

Answer:

each brother received 1,015 marbles cus 2,030 divided by 2 is 1,015.

\(\large\underline{\sf{Solution-}}\)

Given that,

In triangle TPQ,

As it is given that, RS || PQ

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

\(\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}\)

Now, We know

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

\(\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} } \)

\(\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} } \)

\(\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9} \)

\(\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4 \)

\(\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2} \)