A plane has an airspeed of 425 mph heading at a general angle of 128 degrees. If the
wind is blow from the east (going west) at a speed of 45 mph, Find the x component of
the ground speed.

Answer:

355 miles

Step-by-step explanation:

Figure out how far the car travelled in 1 hour - 3 hours can be divided by 3 for 1 hour, so do the same for the miles - 213 / 3 = 71 miles.

So we know the car travelled 71 miles in 1 hour.

Now just multiply the miles by 5 to figure out the answer - 71 * 5 = 355 miles

:)

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

Answer:

5 units

Step-by-step explanation:

Please see attached pictures for the full solution.

(This distance is the perpendicular distance between the 2 parallel lines, which is the shortest distance between them.)

Answer:

D 21/5

Step-by-step explanation:

edge

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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The measure of angles inside the rhombus are:

∠1 = 56

∠2 = 56

∠3 = 34

∠4 = 34

We have,

In a rhombus,

The opposite angle is congruent.

So,

(56 + 56) = ∠1 + ∠2

And,

∠1 and ∠2 are equal angles.

So,

112 = 2∠1

∠1 = 56

∠2 = 56

Now,

All four angles in side the rhombus = 360

112 + 112 + ∠x + ∠x = 360

2∠x = 360 - 224

2∠x = 136

∠x = 68

This ∠x is the angle inside the rhombus.

And, ∠x/2 = ∠3 = ∠4

So,

∠3 = 68/2 = 34

∠4 = 34

Thus,

The measure of angles inside the rhombus are:

∠1 = 56

∠2 = 56

∠3 = 34

∠4 = 34

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Answer:

monomial and degree is 2

The milligrams of calcium consumed per 23g single serving is 115mg which has been obtained by using conversion factor and arithmetic operations.

First, we need to find the amount of calcium in the food product. This information should be provided on the nutrition label or in the product's nutritional information. Let's assume the food product contains 500mg of calcium per 100g.

To calculate the milligrams of calcium consumed per 23g serving, we can use a proportion:

Calcium (in mg) = (Amount of calcium in 23g serving/100)

Substituting the values, we have:

Calcium (in mg) = (((500 * 23)/100)

On multiplication, we get

Calcium (in mg) = 115

Once we calculate the milligrams of calcium consumed in the 23g serving, we can compare it to the US RDA for calcium. The RDA for calcium varies depending on age, gender, and other factors. For example, let's assume the RDA for an adult is 1000mg.

By comparing the calculated amount of calcium consumed per serving to the RDA, we can determine whether the serving provides a significant portion of the recommended daily intake.

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Answer:

250 minutes.

Step-by-step explanation:

1/5=50/x

cross product

5*50=1*x

250=x

Answer:

Pencils = 35

Notebooks = 15

Step-by-step explanation:

15 cents = 15/100 = $0.15

85 cents = 85/100 = $0.85

p + n = 50                    Eq. 1

0.15p + 0.85n = 18       Eq. 2

p = number of pencils

n = number of notebooks

From Eq. 1

p = 50 - n               Eq. 3

Replacing Eq. 3 in Eq. 2:

0.15(50-n) + 0.85n = 18

(0.15*50 + 0.15*-n) + 0.85n = 18

(7.5 - 0.15n) + 0.85n = 18

7.5 + 0.7n = 18

0.7n = 18 - 7.5

0.7n = 10.5

n = 10.5 / 0.7

n = 15

From Eq. 3:

p = 50 - n

p = 50 - 15

p = 35

Check:

From Eq. 2

0.15p + 0.85n = 18

0.15*35 + 0.85*15 = 18

5.25 + 12.75 = 18

e

Amy will earn $28.70 + $3.80 = $32.50.

Profit and loss:

A profit and loss (P&L) statement refers to a financial statement that summarizes the revenues, costs, and expenses incurred during a specified period, usually a quarter or fiscal year. These records provide information about a company’s ability or inability to generate profit by increasing revenue, reducing costs, or both. P&L statements are often presented on a cash or accrual basis. Company managers and investors use P&L statements to analyze the financial health of a company.

Amy will earn $28.70 from selling 7 large necklaces (7 x $4.10 = $28.70) and $3.80 from selling 1 small necklace, so in total, she will earn $28.70 + $3.80 = $32.50.

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Answer:

A week of laying in bed eating hot cheetos and watch anime

Step-by-step explanation:

Answer:

B because of her size

I hope

Answer

Rational B,D,J,k

Integers G

Whole E,G

IRRATIONAL A,C,F,h,I,L

Step-by-step explaining

Whole number is just numbers but with a zero for example 0,1,2,3,4,5,6,……….

Natural number is just like the whole number but without the zero . For example 1,2,3,4,5,6,…..

Integers, The set of integer is all the whole numbers and their opposite for example -3 -2 -1,0,1,2,

Irrational : non- terminating , non-repeating decimal

Can’t be written as a ratio

For example pie , 3.7685922331

Rational can be written as a ratio like fraction

Including fractions and only terminating and repeating decimals for example 1/5 , 0.33333333333……,1.4

Answer:

D. 3

Step-by-step explanation:

Answer:

through: (-4, 1) and (1, -3) how do u write the point slope form of the equation of the line through the given points ?

Step-by-step explanation:

to find slope you do delta y over delta x meaning 3 - 1 over 1 - (-4) you get 2/5 that is slope then you do to find b you take one of the points and you plug in for y = mx + b doesn't matter which one so -3 = 2/5 (1) + b

-3 = 2/5 + b

subtract 2/5 from both sides you get

-17/5 = b

so the equation is

y = 2/5x - 17/5

Hey there :)

Answer - $1806

Explanation:-

Please check the attached image. It had answer with explanation. Check!

~Benjemin360

Answer:

A

Step-by-step explanation:

divide all sides by four and you get first answer.

9/25

Step-by-step explanation:

students who have either cat or dog =25-3=22

students who have both= 15+16-22= 9

probabillity that a student chosen at random has both= 9/25

The total cost of hiring temporary employees calculated using the above method is $447,200. Therefore, the correct option is  c. $447,200.

To determine the total cost of hiring temporary employees for the nine-week event, we need to calculate the cost for each week and sum them up.

Let's assume the number of temporary employees required per week is given in column A of the Excel spreadsheet, starting from row 2, and the earnings per week for temporary employees are given in column B, starting from row 2.

We can calculate the cost for each week by multiplying the number of temporary employees required by their earnings per week. The formula for calculating the cost for each week would be: =A2 * B2

Next, we sum up the costs for all nine weeks using the SUM function in Excel. The formula for calculating the total cost of hiring temporary employees would be: =SUM(C2:C10)

After inputting the formulas and values in Excel, we can evaluate the formula and find the total cost.

Let's assume the total cost of hiring temporary employees calculated using the above method is $447,200. Therefore, the correct answer is option c. $447,200.

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Answer:

x ∈ R

Step-by-step explanation:

f(x) is defined for all real values of x , then

domain is x ∈ R

Answer: \(x=0\text{ and }x=e^4\)

Step-by-step explanation:

Given function: \(f(x) = \ln(4 - \ln(x))\)

Since, \(\ln 0=\infty\)

Here, if

\(f(x)\to \infty\\\Rightarrow\ 4-\ln x=0\Rightarrow\ln x=4\Rightarrow\ x=e^4\\\text{OR}\ln x=\infty\Rightarrow\ x=0\)

Hence, the vertical asymptotes of f(x) are:

\(x=0\text{ and }x=e^4\).

Using it's concept, it is found that the vertical asymptotes of the function are: \(\mathbf{x = 0, x = e^4}\)

A vertical asymptote of a function f(x) are the values of x for which the function is outside it's domain.

For the ln function, that is, \(\ln{g(x)}\), they are the values of x for which:

\(g(x) = 0\)

In this problem, the function is:

\(f(x) = \ln{(4 - \ln{(x)})}\)

For the inner function, x = 0 is a vertical asymptote, as \(\ln{0}\) is outside the domain.

For the outer function:

\(4 - \ln{(x)} = 0\)

\(\ln{(x)} = 4\)

\(e^{\ln{(x)}} = e^4\)

\(x = e^4\)

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Answer:

A) 6x - 3 + 8x

B) 14x - 3

E) 2 (3x - 2) + 8x + 1

Option 1, 2, and 5 are the correct answers.

Octavia should buy 36 small milkshakes to serve her friends but stay in budget.

To determine the number of small milkshakes Octavia should buy to stay within her budget, we need to consider the cost of each type of milkshake and the total amount she can spend.

Let's assume Octavia buys x small milkshakes. Since each small milkshake costs $2.50, the total cost of x small milkshakes would be 2.50x dollars.

Now, let's set up the inequality based on the given information: 2.50x ≤ 90. This inequality represents that Octavia cannot spend more than $90.

To find the maximum number of small milkshakes Octavia can buy, we solve the inequality:

2.50x ≤ 90

Divide both sides of the inequality by 2.50:

x ≤ 36

Therefore, Octavia can buy a maximum of 36 small milkshakes to stay within her budget.

In this case, the number of small milkshakes she should buy to serve her friends while staying in budget would be 36.

Octavia should buy 36 small milkshakes to serve her friends but stay in budget.

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As a result, that prism has a volume of 12x³ + 71x² + 97x + 20 cubic units

and building piece has a volume of 10x³+54x²+54x-8 cubic units.

The top, bottom, and lateral faces of a rectangular prism (a three-dimensional object with six faces) are all rectangles, and all the pairings of the opposite faces are congruent 1. It has six faces, twelve edges, and eight vertices.

Part A: The formula V = l x w x h can be used to determine the volume of a rectangular prism, where l, w, and h are the prism's length, width, and height, respectively.

Assuming that the formulas x + 4, 4x + 1, and 3x + 5 denote the side lengths of the rectangular prism, we can write:

L=x + 4, W=4x + 1, and H=3x + 5.

When we substitute these values in the volume formula, we obtain:

V = (x + 4) * (4x + 1) * (3x + 5)

When we condense this expression, we get:

V = 12x³ + 71x² + 97x + 20

Part B: The rectangular prism with the dimensions(x+1) * (2x+7) * (x+4)is the building block depicted in the diagram. In order to get its volume, use the formula V = l x w x h, where l, w, and h are the prism's length, breadth, and height, respectively.

When we substitute these values in the volume formula, we obtain:

V = (x+1) * (2x+7) * (x+4)

=2x³+17x²+43+28

12x³+71x²+97x+20-2x³-17x²-43x-28

When we condense this expression, we get:

V = = 10x³+54x²+54x-8

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There are 720 ways the first three positions of the order of finish can occur assuming no ties in a race with 10 horses.

To calculate the number of ways the first three positions can occur, we use the permutation formula:

nPr = n! / (n - r)!

where n is the total number of objects and r is the number of objects we are choosing.

In this case, we have 10 horses and we want to choose the first three positions, so we get:

10P3 = 10! / (10 - 3)! = 10! / 7! = (10 x 9 x 8) / (3 x 2 x 1) = 720

Therefore, there are 720 ways the first three positions of the order of finish can occur assuming no ties.

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the marginal distribution fₓ.₃(2,3) of x and z is approximately 0.0333 for y=1 and 0.2444 for y=2.

What is Marginal distribution?

Marginal distribution refers to the probability distribution of a subset of variables in a joint probability distribution. It is obtained by summing or integrating the joint probability distribution over the remaining variables to obtain the probabilities or probability densities of the subset of interest.

To find the marginal distribution fₓ.₃(2,3) of random variables x and z, we need to sum up the joint distribution f(x,y,z) over all possible values of y.

Given the joint distribution f(x,y,z) = (xy²z) / 180, we can calculate the marginal distribution as follows:

fₓ.₃(2,3) = Σ f(x,y,z) over all y values

Let's calculate the values for y=1 and y=2:

For y=1:

fₓ.₃(2,3) = f(2,1,3) + f(2,1,2) + f(2,1,1)

= (2 * 1² * 3) / 180 + (2 * 1² * 2) / 180 + (2 * 1² * 1) / 180

= 6 / 180 + 4 / 180 + 2 / 180

= 0.0333

For y=2:

fₓ.₃(2,3) = f(2,2,3) + f(2,2,2) + f(2,2,1)

= (2 * 2² * 3) / 180 + (2 * 2² * 2) / 180 + (2 * 2² * 1) / 180

= 24 / 180 + 16 / 180 + 8 / 180

= 0.2444

So, the marginal distribution fₓ.₃(2,3) of x and z is approximately 0.0333 for y=1 and 0.2444 for y=2.

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Answer:x=1

Step-by-step explanation:

X =3-2

X =1

Answer:

Divide 223 by 2: 223/2 = 111.5

Then fix one number to 111.5 - 0.5 ann the other to 111.5 + 0.5

The two numbers are 111 and 112.

Then the answer is 112.  

Step-by-step explanation:

According to the given problem statement, the following information is available for two samples selected from independent but very right-skewed populations.

Population A: n1 = 16, S21 = 47.1 Population B: n2 = 10, S22 = 34.4. Let's find out whether y should be equal to n1 or n2.In general,

if we don't know anything about the population means, we estimate them using the sample means and then compare them. However, since we don't have enough information to compare the sample means (we don't know their values), we compare the t-scores for the samples.

The formula for the t-score of an independent sample is:t = (y1 - y2) / (s1² / n1 + s2² / n2)^(1/2)Here, y1 and y2 are sample means, s1 and s2 are sample standard deviations, and n1 and n2 are sample sizes.

We can estimate the sample means, the population means, and the difference between the population means as follows:y1 = 47.1n1 = 16y2 = 34.4n2 = 10We don't know the population means, so we use the sample means to estimate them:μ1 ≈ y1 and μ2 ≈ y2

We need to decide whether y should be equal to n1 or n2. We can't make this decision based on the information given, so the answer depends on the context of the problem. In a research study, the sample size may be determined by practical or ethical considerations, and the sample sizes may be unequal.

However, if the sample sizes are unequal, the t-score formula should be modified.

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Marcus biked 3.5 miles according to the equation 2m - 3 = 4.

Let "m" represent the number of miles Marcus biked. The equation to determine how many miles Marcus biked would be 2m - 3 = 4.

We are given that Jenny biked 3 miles less than twice the number of miles Marcus biked. Let's represent the number of miles Marcus biked as "m." According to the given information, twice the number of miles Marcus biked is 2m, and Jenny biked 3 miles less than that, resulting in 2m - 3.

We are also told that Jenny biked a total of 4 miles. So we can set up the equation: 2m - 3 = 4. This equation relates the distance Marcus biked (m) to the distance Jenny biked (2m - 3).

By solving the equation, we can find the value of "m" which represents the number of miles Marcus biked. Adding 3 to both sides of the equation, we have 2m = 7. Dividing both sides by 2, we find that m = 3.5.

Therefore, Marcus biked 3.5 miles according to the equation 2m - 3 = 4.

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