Find the cos 35
Thanks

To maximize the number of people that can be fed, subject to the constraint that the total cost of rice and beans cannot exceed $2,000,000. Let's first rewrite the cost constraint as an equation:

38.5x + 35y = 2,000,000

Now we can rewrite the expression for P in terms of one variable.

How optimal allocation for famine relief funds?

To find the maximum number of people that can be fed, which means we need to maximize the function P= 1.1x +y - 108 subject to the budget constraint:

38.5x + 35y = 2,000,000

First, we can rewrite the budget constraint as:

77x + 70y = 4,000,000y - 108.

To do this, we can use the constraints provided by the budget and the prices of rice and beans. Let's assume that the organization will spend all of the $2,000,000, so we have the equation:

38.5x + 35y = 2,000,000

This represents all the possible combinations of sacks of rice and beans that can be bought with the given budget.

To make the problem easier to work with, we can solve for y in terms of x:

y = (2,000,000 - 38.5x) / 35

Now we can substitute this expression for y into the function for P:

P = 1.1x + (2,000,000 - 38.5x) / 35 - 108

Simplifying this, we get:

P = (14x - 3250) / 35

To maximize P, we can take the derivative and set it equal to zero:

dP/dx = 14/35 = 0

Solving for x, we get:

x = 100,000/14

x = 7,142.857

Since we can't buy a fraction of a sack, we round down to the nearest whole number:

x = 7,142

Now we can use the equation we derived earlier to find the corresponding value of y:

y = (2,000,000 - 38.5 x) / 35

y = (2,000,000 - 38.5(7,142)) / 35

y = 22,000

Therefore, the maximum number of people that can be fed is:

P = 1.1 x + y - 108

P = 1.1(7,142) + 22,000 - 108

P = 30,346

So, the organization should buy 7,142 sacks of rice and 22,000 sacks of beans to feed the maximum number of people.

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Answer: If a kangaroo hops 9km in 3 minutes, that means he runs 3km every minute, which we can multiply by 2 in order to get 6km in the first 2 minutes. [EXTRA: In one hour, the kangaroo can hop 180km, which means his top speed is 180km/h without accounting for fatigue]

Step-by-step explanation: a

The final value of the volume V of the solid S is 18b²h .

The volume V of the solid S, a pyramid with height 3h and rectangular base with dimensions 3b and 6b,

can be found using the formula for the volume of a pyramid:

V = (1/3) * base area * height

To finding the volume of a solid S that is described as a pyramid with a rectangular base and a given height.

Since the base of the pyramid is a rectangle with dimensions 3b and 6b, its area is:

base area = (3b)(6b) = 18b²

Substituting this into the formula for the volume, we get:

V = (1/3) * 18b² * 3h

Simplifying, we get:

V = 18b²h

Therefore, the volume of the solid S is 18b²h.

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AnswerProbability = the number of wanted outcomes/the number of possible outcomes

The probability of drawing a green marble is  

number of green marbles/ total number of marbles in the bag

7/16

If you replace the marble each time, each time your chance of drawing green is 7/16.  If this is done 3 times, the probability is

(7/16)(7/16)(7/16) = 0.084

For not replacing green, there is no impact on the first draw, the probability of getting green on the first draw is still 7/16. If you do not replace, this means that there are no longer 16 marbles in the bag for the second draw, there are now 15.  And since you already drew one green one, there are no longer 7 green ones, there are now 6.  So probability for green on the second draw is 6/15.  If you draw a 3rd time and there isn't replacement,  there are no longer 15 marbles in the bag for the second draw, there are now 14. And since you already drew one green one, there are no longer 6 green ones, there are now 5. So probability for green on the third draw is 5/14.  Combining the 3 draws together:

(7/16)(6/15)(5/14) = 0.063

The probability of drawing 3 with replacement is higher than without.:

4.67 (nearest hundredth) reams of paper do they use each week.

What is the unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

We typically utilize this technique for math calculations. This approach will be helpful to you while tackling problems involving ratio and proportion, algebra, geometry, etc.

What is the nearest hundredth?

Any decimal number is rounded to the nearest hundredth by the term "to the nearest hundredth." A hundredth is 1/100 or 0.01 in decimal form.

Given that,

In 3 weeks, Landscape Elementary uses 14 reams of paper.

In 1 week, Landscape Elementary uses 14/3 reams of paper. = 4.66666...

The digit at thousandth place is 6 and it is more than 5. Thus add 1 with hundredth digit.

4.66666... = 4.67 (nearest hundredth)

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Step-by-step explanation:

The figure consists of 6 rectangle and 2 triangle faces.

Surface area (excluding bottom side) is:

Total surface area (including bottom side):

Answer:

\(s \: = \: 2(2.4 \times 1.6 + 1.3 \times 16 + 1.5 \\ \times 16 + ( \frac{1}{2} ) \times 2.4 \times 0.9) \\ \\ = 18.8y {d}^{2} \\ \\ total \: surface \: area \: ( \: including \\ \\ bottom \: side \: ) \\ \\ a \: = 18.8 + 2.4 \times 13 \\ \\ = 21.92y {d}^{2} \)

The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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Answer: 80, 80

Step-by-step explanation:

The perimeter of a rectangle/square formula:

2L+2w=P                     >P=320

2L+2w=320                 >solve for one of variables let's pick L

2L = 320 - 2w              

L =  (320 - 2w)/2          >Simplify the dividing by 2            

L = 160-w

You also need Area formula:

A =  L(w)                            >Substitute from what we found from Perimeter

                                            formula

A = (160-w)(w)                   >Distribute w

A =  160w - w²                   >Maximum are happens at the vertex of this

                                             quadratic

A = w² - 160w

Vertex x formula in (x, y) for vertex:

a=1  b= -160     from A = w² - 160w   from standard form:  ax²+bx+c

\(w =- \frac{b}{2a}\\\\w= - \frac{-160}{2(1)}\)

w=80

Substitute back into Perimeter to find L

L = 160-w

L = 160 - 80

L = 80

Answer:

1,723,176

Step-by-step explanation:

By plugging this into a calculator, you will receive 1,723,176.

Answer: 234 x 7364 = 1,723,176

The percentage of the original area of wetlands currently left in the United States is approximately 50%. So, the correct

option is 50% (option 3).

Percentages are a way of expressing a proportion or a fraction as a part of 100. It is denoted by the symbol "%".

According to the United States Environmental Protection Agency (EPA), it is estimated that about 50% of the original

wetlands in the contiguous United States have been lost since the 1600s due to human activities such as agriculture,

development, and urbanization. Therefore, the correct answer to the question is 50%.

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The percentage of the original area of wetlands currently left in the United States is approximately 50%.

Wetlands are regions of land where the soil is continually or intermittently soaked with water. Wetlands have a particular hydrology, soil, and vegetation mix that results in specialised ecosystems that offer a variety of ecological functions.

There are many different types of habitats where wetlands can be found, such as coastal locations, interior regions, and high-altitude mountain regions. They come in a variety of shapes, such as marshes, swamps, bogs, fens, and estuaries, and can be freshwater, brackish, or saline.

Wetlands are significant for several reasons. For species, such as migrating birds, amphibians, and fish, they offer crucial habitats. They also aid in removing contaminants from water, lessen the effects of flooding, and give people access to recreational activities. Wetlands are crucial for carbon sequestration as well.
Based on the information provided, the question is asking for the approximate percentage of the original area of wetlands currently left in the United States. The answer is approximately 50%.

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\(Hello\) \(There!\)

I believe the answer is...

2: Negative

Hopefully, this helps you!!

\(AnimeVines\)

To calculate the sample size required to detect a true mean speed of 94 meters per second with a power of at least 0.85, we need to know the significance level and the standard deviation of the population.

Assuming a 5% significance level (alpha = 0.05) and a standard deviation of 10 meters per second, we can use the following formula:

n = (Z_beta + Z_alpha/2)^2 * σ^2 / d^2

where:

Z_beta is the Z-score for the desired power (0.85) from the standard normal distribution, which is approximately 1.04.

Z_alpha/2 is the Z-score for the desired significance level (0.05/2 = 0.025) from the standard normal distribution, which is approximately 1.96.

σ is the standard deviation of the population, which is 10 meters per second.

d is the difference between the true mean speed and the hypothesized mean speed, which is 100 - 94 = 6 meters per second.

Substituting these values into the formula, we get:

n = (1.04 + 1.96)^2 * 10^2 / 6^2

≈ 49.56

Therefore, a sample size of at least 50 would be required to detect a true mean speed as low as 94 meters per second with a power of at least 0.85, assuming a 5% significance level and a standard deviation of 10 meters per second.

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By applying dilatation and congruency theorem, it can be concluded that the distance between points R and R' is 3 units (option A).

Dilation is a transformation of a geometric shape, either becoming larger or smaller, without changing the original shape using a certain scale factor.

Two shapes are said to be congruent if a pair of corresponding sides have the same ratio and the corresponding angles have the same measure.

From the problem we obtained the following information:

QR is dilated to create Q'R' ⇒ QR // Q'R'

The dilatation factor is 1.5 ⇒ Q'R'/QR = 1.5

Now we look at the ΔTRQ and ΔTR'Q':

QR // Q'R'

∠TRQ = ∠TR'Q'

So ΔTRQ is congruent to ΔTR'Q' and TR'/TR = Q'R'/QR

Now we can calculate y using this equation:

   TR'/TR = Q'R'/QR

(6 + y) / 6 = 1.5

      6 + y = 9

            y = 3

Thus, the distance between points R and R' is 3 units.

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The area of the shaded region is given as follows:

1.25 units squared.

To obtain the area of a rectangle, you need to multiply its length by its width. The formula for the area of a rectangle is:

Area = Length x Width

The parameters for the shaded region in this problem are given as follows:

Hence the area is given as follows:

Area = 5 x 1/4

Area = 1.25 units squared.

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Given:

The angle 140 degree.

The co-terminal angles is defined as an angle, where two angle are drawn in the standard position.

It is determine by adding or subtraction 360 degree to each angle.

Answer: Positive co-terminal angle of 140 degree is 500 degree.

Option A is correct.

Answer:

y = 17x + 115

Step-by-step explanation:

The slope-intercept form of a straight line equation is y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can write y = 17x + b from the given slope, m, of 17.

To find b, enter the given point (-7,-4) and solve for b:

y = 17x + b

-4 = 17*(-7) + b

-4 = -119 + b

b = 115

y = 17x + 115

Answer:

y +2 = 1 (x +3)

Step-by-step explanation:

y = 1x - 7

Slope: 1

Point: (-3, -2)

Answer:

k = \(\frac{1}{3}\)

Step-by-step explanation:

X| 1    2   5   10   30

Y| 3    6   15 30   90

Given that <A and <B are complementary angles, the measure of angle B is: \(41^{\circ}\)

Apply the knowledge of what complimentary angles are to solve for x then find the measure of <B.

Since <A and <B are both complimentary angles, therefore:

m<A = (6x+1)

m<B = (8x-23)

\((6x+1) + (8x-23) = 90\)

\(6x+1 + 8x-23 = 90\)

\(6x+1 + 8x-23 = 90\\\\14x - 22 = 90\)

\(14x = 90 + 22\\\\14x = 112\)

\(x = 8\)

\(m \angle B = 8x-23\\\\m \angle B = 8(8) - 23\\\\m \angle B = 41^{\circ}\)

Therefore, given that <A and <B are complementary angles, the measure of angle B is: \(41^{\circ}\)

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Answer:

0.05 mile per minutes

Step-by-step explanation:

Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered

Miles covered = 1 mile

Time covered = 20 minutes

Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered(minutes)

= 1 mile / 20 minutes

= 0.05 mile per minutes

20 minutes

= 20 × 60 seconds

= 1200 seconds

Jesse's rate of hiking (miles per seconds) = Total miles covered / Total time taken (seconds)

= 1 mile / 1200 seconds

= 0.0008333333333 miles per seconds

Approximately 0.000833 miles per seconds

Answer:

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

The two sides are of same length as radius, hence it is isosceles triangle.

Find the measure x of other two angles using the triangle sum theorem:

a) The average cost of the promotion is $ 0.01 per liter

b) the probability that Greer will refund more than $25 for a liter is 0.0107.

a.

Mean lifetime mileage : $33,500

Standard deviation of mileage: $3500

Observed miles: 30,000 miles

100 miles failed $1.00

Hence :

= (33,500 – 30,000) / 3500= 1

Cost of production

100 miles = $1.00

= 1* 1 / 100

= $ 0.01 per tire

b.

P (z < 25000 - 36500/5000)

P (z < -11500/5000)

z < -2.3

Hence:

1 - 0.9893

= 0.0107

Therefore, the Probability that gear will refund more than $50.00 per tire is: 0.0107

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With a $1 bet on three numbers, you can expect to win $12.33. So, the expected winnings for a $1 bet on three numbers in a roulette wheel is approximately $0.95.

Here's how to calculate it:
- There are 38 possible outcomes on the roulette wheel (1 through 36, 0, and 00).
- Your bet covers 3 of those outcomes, so your probability of winning is 3/38.
- The payout for a winning bet is $1 plus another $11, for a total of $12.
- To find your expected winnings, multiply the probability of winning by the payout:
  (3/38) x $12 = $0.947
- Rounded to the nearest cent, that's $0.95.
So with a $1 bet on three numbers, you can expect to win about $0.95 each time, on average. Over many bets, your total winnings will approach $12.33.

In order to calculate the expected winnings from a $1 bet on three numbers in a roulette wheel, we can follow these steps:
1. Determine the probability of winning the bet. In a roulette wheel with 38 numbers (1-36, 0, and 00), you bet on three numbers, so the probability of winning is 3/38.
2. Determine the amount you would win if your bet is successful. Since the bet pays 11 to 1, you would get back your original $1 plus another $11, for a total of $12.
3. Multiply the probability of winning by the amount you would win. This will give you the expected winnings for a single $1 bet:
(3/38) * $12 = $0.947
So, the expected winnings for a $1 bet on three numbers in a roulette wheel is approximately $0.95 (rounded to the nearest cent).

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\(\huge\text{Hey there!}\)

\(\huge\textsf{13 - (-18)}\)

\(\huge\textsf{= 13 + 18}\)

\(\huge\textsf{= \bf 31}\)

\(\boxed{\boxed{\huge\text{Therefore, your answer is most likely: \textsf{31}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\huge\text{Amphitrite1040:)}\)

Answer:

\( \displaystyle 31\)

Step-by-step explanation:

we want to simplify the following expression:

\( \displaystyle 13 - ( - 18)\)

remove parentheses and change its sign because we know that two negatives make positive Thus:

\( \displaystyle 13 + 18\)

finally simplify addition:

\( \displaystyle\bf \fbox{31}\)

hence,

\( \displaystyle 13 - ( - 18) = \boxed{31}\)

The measure of angle Z is 34°, side length of YZ is 34.1, and the side length of XZ is 41.1. The correct option is the third option ∠Z = 34°, YZ = 34.1, XZ = 41.1

From the question, we are to determine the angles measures of and the side measures of the given triangle XYZ

From the given information,

∠Y = 90°

XY = 23

∠X = 56°

First, we will determine the measure of angle Z

m ∠X + m ∠Y + m ∠Z = 180° (Sum of angles in triangle)

56° + 90° + m ∠Z = 180°

m ∠Z = 180° - 56° - 90°

m ∠Z = 34°

Now, since the measure of one of the angles is 90°, ΔXYZ is a right triangle.

Thus,

From SOH CAH TOA, we can write that

tan X = |YZ| / |XY|

∴ tan 56° = |YZ| / 23

|YZ| = 23 × tan 56°

|YZ| = 34.0989

|YZ| ≈ 34.1

Also,

cos X = |XY| / |XZ|

cos 56° = 23 / |XZ|

|XZ| = 23 ÷ cos 56°

|XZ| = 41.1307

|XZ| ≈ 41.1

Hence, ∠Z = 34°, |YZ| = 34.1, and |XZ| = 41.1

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The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.

a) The probability that in any given hour zero new visitors will arrive at the website is given by;P(X = 0) = (e^-λ λ^0)/0!Where λ = 2.3Thus;P(X = 0) = (e^-2.3 2.3^0)/0!P(X = 0) = (0.1003)/1P(X = 0) = 0.1003b) The probability that in any given hour exactly one new visitor will arrive at the website is given by;P(X = 1) = (e^-λ λ^1)/1!Where λ = 2.3Thus;P(X = 1) = (e^-2.3 2.3^1)/1!P(X = 1) = (0.2303)/1P(X = 1) = 0.2303c) The probability that in any given hour two or more new visitors will arrive at the website is given by;P(X ≥ 2) = 1 - P(X = 0) - P(X = 1)Thus;P(X ≥ 2) = 1 - 0.1003 - 0.2303P(X ≥ 2) = 0.6694d) The probability that in any given hour fewer than three new visitors will arrive at the website is given by;P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)Thus;P(X < 3) = 0.1003 + 0.2303 + 0.2642P(X < 3) = 0.5948Therefore,The probability that in any given hour zero new visitors will arrive at the website is 0.1003.The probability that in any given hour exactly one new visitor will arrive at the website is 0.2303.The probability that in any given hour two or more new visitors will arrive at the website is 0.6694.The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.

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