2=-6n+4m

how do you solve this ?

1) The wavelength of A is equal to 6.98 × \(10^{-8}\)meters

2) The wavelength of B is equal to 3.45 × \(10^{-11}\) meters

Since we know that the wavelength = speed of light / frequency

The speed of light is 3.00 × \(10^8\) meters per second.

For light sample A with a frequency of 4.30 × 10^15 Hz can be calculated as;

wavelength of A = (3.00 ×  \(10^8\)  m/s) / (4.30 × 10^15 Hz)

wavelength of A = 6.98 ×  \(10^{-8}\) meters

For light sample B with a frequency of 8.70 × \(10^18\) Hz can be calculated as;

wavelength of B = (3.00 ×  \(10^8\) m/s) / (8.70 ×\(10^18\) Hz)

wavelength of B = 3.45 ×  \(10^{-11}\)  meters

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Answer:

The answer is 112.5

Step-by-step explanation:

Answer:

31°

Step-by-step explanation:

90° - 59° = 31°

31° + 59° = 90°

Answer:

(4, 22)

Step-by-step explanation:

y = 5x + 2

y  = 3x + 10

Since both equations are equal to y, we can have both equations equal to each other).

5x + 2 = 3x + 10

5x + 2 - 3x - 2 = 3x + 10 - 3x - 2

5x - 3x = 10 - 2

2x = 8

2x/2 = 8/2

x = 4

(Substitute the x value to any equation to solve for y).

y = 5x + 2

y = 5(4) + 2

y = 20 + 2

y = 22

So, the answer is (4, 22).

Hope this helped! <3

Answer:

32g - 38h

Step-by-step explanation:

Step 1:

14g - 8h - 30h + 18g

Step 2:

32g - 38h

Answer:

32g - 38h

Hope This Helps :)

Answer:

Step-by-step explanation:

14g-8h -30h+18g

32g-38h

Answer:

The solution to the system of two linear equations is p = -6.

Step-by-step explanation:

First, we can isolate the variable p on one side of the equation. Subtract 8 from both sides to get 1/6p = -1/3p + 6.

Next, we can subtract -1/3p from both sides to get 4/6p = 6.

Finally, we can divide both sides by 4/6 to get p = -6.

The  examples that would constitute a discrete random variable are;

I. Total number of points scored in a football game

III. Number of near collisions of aircraft in a year

A discrete random variable has only a countable number of different values that it can assume. Usually, but not always, discrete random variables are counts. A random variable is discrete if it can only take a finite number of different values. A variable whose value is determined by counting is referred to as a discrete variable.

A continuous variable is one whose value may be determined through measurement. A random variable is a variable whose value is the resultant number of an unpredictable event.

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Answer:

V=1837.5

Step-by-step explanation:

use the equation V= lwh

Using the center-of-gravity technique, the best site location for the new distribution center in Charlotte is determined to be at coordinates (X, Y) = (27.92, 19.08).

The center-of-gravity technique is used to find the optimal location for a facility based on the distribution of demand. In this case, we will calculate the weighted average of the coordinates (X, Y) of the three sites, with the weights being the number of weekly packages flowing to each site.

To calculate the X-coordinate of the center of gravity, we use the formula:

Xc = (X1 * W1 + X2 * W2 + X3 * W3) / (W1 + W2 + W3)

Similarly, for the Y-coordinate:

Yc = (Y1 * W1 + Y2 * W2 + Y3 * W3) / (W1 + W2 + W3)

Substituting the given values:

Xc = (16 * 26000 + 35 * 12000 + 40 * 10000) / (26000 + 12000 + 10000) ≈ 27.92

Yc = (28 * 26000 + 10 * 12000 + 18 * 10000) / (26000 + 12000 + 10000) ≈ 19.08

Therefore, the best site location for the new distribution center in Charlotte is approximately at coordinates (X, Y) = (27.92, 19.08) based on the center-of-gravity technique.

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First you will get 4dz

Answer:

10 blocks.

Step-by-step explanation:

Find the unit rate.

\(\frac{28}{4}=\frac{7}{1}=\frac{70}{10}\)

Therefore, 10 blocks weigh 70 ounces.

The dimensions that minimize the amount of cardboard used are,

⇒ Length = 80 cm, Width = 40 cm, Height = 20 cm.

label the dimensions of the rectangular cardboard box as length (L), width (W), and height (H).

We can use the formula for volume of a rectangular prism to get,

⇒ V = LWH

       = 32,000 cm³

Now, we want to minimize the amount of cardboard used to make this box.

Since there is no lid, we can assume that the cardboard is cut from a single piece and then folded into a box shape.

In this case,

the amount of cardboard used will be proportional to the surface area of the cardboard sheet. So, our goal is to minimize the surface area (SA) of the cardboard box.

We can find the surface area of the box using the formula,

⇒ SA = 2LW + 2LH + 2WH

Now, we need to express SA in terms of a single variable so we can differentiate it and find the minimum value.

To do this, we can use the volume equation to solve for one of the variables. For example, we can solve for L,

⇒L = 32000/WH

Substituting this into the equation for SA, we get,

⇒ SA = 2W(32000/WH) + 2H(32000/WH) + 2WH SA

          = 64000/W + 64000/H + 2WH

Now, we can differentiate SA with respect to either W or H and set the result equal to zero to find the minimum value.

Differentiate with respect to W:

⇒ dSA/dW = -64000/W² + 2H

Setting this equal to zero and solving for W, we get:

⇒ W = √(32000/H)

Substituting this back into the volume equation, we can solve for L:

⇒ L = sqrt(32000H)

Now, we can substitute these expressions for L and W into the equation for SA and simplify,

⇒ SA = 64000/sqrt(H) + 64000/sqrt(L) + 2HL SA

         = 64000/sqrt(H) + 64000/sqrt(32000/H) + 2Hsqrt(32000/H)

We can simplify this further by using a substitution u = √(H):

⇒ SA(u) = 64000/u + 3200u + 128000/u

Now, we can differentiate SA(u) with respect to u and set it equal to zero to find the minimum value,

⇒ dSA/du = -64000/u² + 3200 - 128000/u² = 0

⇒ 128000/u² = (64000/u^2) - 3200 u² = 20

Substituting back in for H and solving for L and W, we get:

⇒ H = 20 cm² L

       = √(32000H)

       = 80 cm W

       = √(32000/H)

        = 40 cm

Therefore, the dimensions that minimize the amount of cardboard used are,

⇒ Length = 80 cm, Width = 40 cm, Height = 20 cm.

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Answer:

it is b.

Step-by-step explanation:

hope this helps

Answer:

3/8

Step-by-step explanation:

We first have to find the probability that the person selected is a male and then multiply that by the probability that the male has a college degree.

There are 12 males and 4 females. There are 16 people in total. The probability of selecting a male is:

12/16 = 3/4

Half of the males have a college degree. Therefore, 6 males have a college degree. The probability that a selected male has a college degree is:

6/12 = 1/2

Therefore, the probability that a male is selected and that the male has a college degree is:

3/4 * 1/2 = 3/8

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.

John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

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Answer:

502 (sorry if I’m wrong)

Step-by-step explanation:

Answer:

502

Step-by-step explanation:

It doesn't end with 0

Answer:

20 feet

Step-by-step explanation:

Answer: Choice B)   sin (33) = x/14

This is because the sine of an angle is equal to the opposite side over the hypotenuse

sin(angle) = opposite/hypotenuse

sin(33) = x/14

We can't use cosine because we don't have a variable for the adjacent side.

Answer:    t/8

Step-by-step explanation:

t divided by 8 is the same as =

t ÷ 8

which is the same as =

t/8. as a fraction!

The students who has the method that is most representative of the school’s population is Amir.

Population refers to the group of people being studied in an experiment or the group from which a sample is drawn.

Amir has the method that is most representative of the school’s population because the method includes all students in the school studying different subjects but picked at random (every tenth students)

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Answer:

Budget= $1,100

Step-by-step explanation:

Giving the following information:

They spent $737 on equipment and 33% of the total budget on costumes.

If they spent all their budget on equipment and costumes, then the percentage spent on equipment was 67% (100 - 33).

Then, to calculate the total budget, we need to use the following formula:

Budget= 737 / 0.67

Budget= $1,100

Great Grains of Canada has made a wheat purchase of 4,000 tonnes from Gateway Grains in Malta at a rate of 130 euros per tonne, with payment due in one year. The current spot exchange rate between the Canadian dollar (CAD) and the euro (EUR) is 1.6750 CAD/EUR.

The spot exchange rate of 1.6750 CAD/EUR indicates that 1 Canadian dollar is equivalent to 1.6750 euros. Since the wheat purchase is denominated in euros, Great Grains of Canada will need to convert the payment amount from Canadian dollars to euros at the prevailing exchange rate.

To calculate the total payment in Canadian dollars, we multiply the number of tonnes (4,000) by the price per tonne (130 euros) to get the payment in euros. The total payment can be calculated as 4,000 tonnes * 130 euros/tonne = 520,000 euros.

To determine the equivalent payment in Canadian dollars, we multiply the payment in euros by the spot exchange rate. In this case, the payment in Canadian dollars would be 520,000 euros * 1.6750 CAD/EUR = 871,000 CAD.

It's important to note that the given information does not mention the 1-year forward rate, so we cannot determine the forward exchange rate or the amount Great Grains of Canada would pay in Canadian dollars at the forward rate. However, if the 1-year forward rate were provided, it could be used to estimate the payment in Canadian dollars based on the forward exchange rate and the payment amount in euros.

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The hawk's speed increased by 4.08 ft/s from t = 4 to t = 8.

To find out how much the hawk's speed increased from t = 4 to t = 8, we need to integrate the acceleration function a(t) = 0.3 + 0.12t with respect to time from 4 to 8.

1. Write down the integral: ∫(0.3 + 0.12t) dt from 4 to 8.
2. Integrate the function: 0.3t + 0.06t² + C, where C is the constant of integration.
3. Now we need to find the change in velocity from t = 4 to t = 8, which can be calculated using the definite integral:
  (0.3 × 8 + 0.06 × 8²) - (0.3 × 4 + 0.06 × 4²).
4. Calculate the values:
  (0.3 × 8 + 0.06 × 64) - (0.3 × 4 + 0.06 × 16) = (2.4 + 3.84) - (1.2 + 0.96)

  = 6.24 - 2.16 = 4.08 ft/s.

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Answer:

C. Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.

Step-by-step explanation:

From the given information;

A political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certain candidate.

A random sample is usually an outcome of any experiment that cannot be predicted before the result.

SO;

One plan is to select 400 voters, another plan is to select 1,600 voters

If the study were conducted repeatedly (selecting different samples of people each time);

Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.  This is because a sample proportion deals with random experiments that cannot be predicted in advance and they  are  quite known to be centered about the population proportion.

The correct statement is

Option(A). The average weight of the new offensive line is 304.

Average:

The ratio of the sum of the observation and the number of observations in a particular set is the mean value or average of the data.

=> Average = [Sum of observations ]/ Number of observations

=> Sum of observation = Average × Number of observations

Here we have

The average weight for the five starting offensive linemen of the Charlotte Panthers is 300 pounds.  

The heaviest starter gets injured and his replacement weighs 20 pounds more than the injured starter.

By the given formulas

Total weight of the 5 linemen = 5 × 300 = 1500

Given that the heaviest starter was replaced with a stater who weighs 20 pounds more than the injured starter

After replacement, the total weight of 5 linemen = 1500 + 20 = 1520  

The average weight of the 5 line men = [1520]/5 = 304  

Therefore,

The correct statement is

Option(A). The average weight of the new offensive line is 304.

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