Use conversion factors to each rate.
75 feet per second to feet per minute


Please helpp

Photic zone: seaweeds and corals live here

aphotic zone: mid-ocean level where no light reaches

deep ocean floor: animals that glow are found here

Hope this helped!

Answer:

deep ocean floor - animals that glow are found here

photic zone - seaweeds and coral live here

aphotic zone mid-ocean level where no light reaches

Step-by-step explanation:

I rly hope this helps!! :D

Answer:

5\(\sqrt{6}\)

Step-by-step explanation:

The easiest way to do this problem is to know that the hypotenuse of a 45-45-90 triangle is equal to \(\sqrt{2}\) times the length of a leg.  

So, in your problem the hypotenuse = \(\sqrt{2}\)(5\(\sqrt{3}\)) = 5\(\sqrt{6}\).   Another way to solve the problem is to use the Pythagorean theorem, but that is a longer way to solve it.

Answer:

b = 5

Step-by-step explanation:

△STR ≅ △LMN

This means the corresponding sides are equal.

SR and LN are corresponding sides.

SR and LN are equal.

The value of b is 5.

The value of SR is 43

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

△STR ≅ △LMN

This means the corresponding sides are equal.

SR = 7b + 8

LN = 11b − 12

SR and LN are corresponding sides.

SR and LN are equal.

So,

7b + 8 = 11b − 12

Subtract 7b on both sides.

8 = 11b - 7b - 12

Add 12 on both sides.

8 + 12 = 4b

20 = 4b

b = 20/4

b = 5

Now,

SR:

= 7b + 8

= 7 x 5 + 8

= 35 + 8

= 43

Thus,

The value of b is 5.

The value of SR is 43

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Step-by-step explanation:

every bracelet that is made, 0.75 yards of string is used.

The forecast for the next period using the following weights: 0.3, 2, 0.5 is Option d. 421.

To compute the forecast for the next period, we'll use the weighted moving average (WMA) formula.WMA formula:

WMA = W1Yt-1 + W2Yt-2 + ... + WnYt-n

Where, WMA is the weighted moving average

W1, W2, ..., Wn are the weights (must sum to 1)

Yt-n is the demand in the n-th period before the current period

As we know Month 1 – 381, Month 2-366, and Month 3 - 348.

Weights: 0.3, 2, 0.5

We'll compute the forecast for the next period (month 4) using the data:

WMA = W1Yt-1 + W2Yt-2 + W3Yt-3WMA

= 0.3(381) + 2(366) + 0.5(348)WMA

= 114.3 + 732 + 174WMA

= 1020.3

Therefore, the forecast for the next period is 1020.3, which rounds to 421. Hence, option d is correct.

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The elastic potential energy in the spring is 0.81Joules

Hooke's law states that if the elastic limit of an elastic material is not exceed the extension is directly proportional to the applied force or load.

Hooke sought to demonstrate the relationship between the forces applied to a spring and its elasticity.

F= ke

where k is the force constant

and e is the extension caused by the load

the potential elastic energy in an elastic material is I/2fe

= 1/2× 13.5×0.12

= 0.81J

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433 kg sample contains 433000000 milligram. A thousandth of a gram, or a metric unit of mass measurement.

A thousandth of a gram, or a metric unit of mass measurement. One millilitre, or one thousandth of a litre, of water at 4 degrees Celsius, weighs one gram. The word "milligram" is shortened to mg. Whatever the motivation, Milligram stands to gain. The Melbourne-based shop has transformed from a direct-to-consumer brand that solely operated online and sold largely stationery products to an omnichannel lifestyle brand with three brick-and-mortar stores and plans for four more in less than a year. The worldwide metric system divides solid weight into very tiny units called milligrams. A milligram is precisely one thousandth of a gram; to put it another way, a typical mosquito weighs about 2 milligrams.

433 kg = 433000000 mg.

Now that we are aware of the conversion factor, we can easily convert 433 kilograms to milligrams by multiplying 1000000 by the number of kilograms we have, which is 433.

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Use an Explicit formula to calculate how much it will cost Jiya to rent the truck for 7 hours .The correct answer is option (d) a7=55+(7-1)10

The rental company charges $55 for the first hour and then $10 per hour after that, we can use an explicit formula to calculate how much it will cost Jiya to rent the truck for 7 hours.

The explicit formula for the total cost of renting the truck for a given number of hours can be written as:

a(n) = c + (n-1)d

where a(n) is the total cost of renting the truck for n hours, c is the cost of the first hour, and d is the additional cost per hour.

Using this formula, we can find the cost of renting the truck for 7 hours:

a(7) = 55 + (7-1)*10

Simplifying the expression in the parentheses, we get:

a(7) = 55 + 6*10

Multiplying 6 by 10, we get:

a(7) = 55 + 60

Adding 55 and 60, we get:

a(7) = 115

Therefore, the explicit formula that describes how much it will cost Jiya to rent the truck for 7 hours is:

a7=55+(7-1)10

Simplifying the expression, we get:

a7 = 55 + 6*10

a7 = 55 + 60

a7 = 115

Therefore, the correct answer is option (d) a7=55+(7-1)10.

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1. I based my decision on allocating points to maximize my own score, while also considering the potential benefits of contributing to the group fund.

2. The best outcome for me would be allocating the minimum points required to the GIVE account, while putting the majority in the KEEP account. This would ensure I receive the most points for myself.

3. The best outcome for the group would be if both participants maximized their contributions to the GIVE account. This would create the largest group fund, resulting in the most redistributed points and highest average score.

4. There are parallels with risk management strategies. Individuals may act in their own self-interest, but a larger group benefit could be achieved if more participants contributed to "group" risk management strategies like vaccination, safety protocols, insurance policies, etc. However, some individuals may free ride on others' contributions while benefiting from the overall results. Incentivizing group participation can help align individual and group interests.

Answer:

the first one

Step-by-step explanation:

The values of the sine and cosine functions for 2θ are:

sin(2θ) = -336/625

cos(2θ) = 527/625

We have,

We can determine the values of the sine and cosine functions for 2θ using the double-angle formulas:

sin(2θ) = 2sin θ cos θ

cos(2θ) = cos²θ - sin²θ

Given sin θ = 7/25, we can use the Pythagorean identity

sin²θ + cos²θ = 1 to find cos θ:

sin²θ + cos²θ = 1

(7/25)² + cos²θ = 1

49/625 + cos²θ = 1

cos²θ = 1 - 49/625

cos²θ = 576/625

cos θ = -24/25

Now, we can find sin(2θ) and cos(2θ) using the double-angle formulas:

sin(2θ) = 2sin θ cos θ

= 2 * (7/25) * (-24/25)

= -336/625

cos(2θ) = cos²θ - sin²θ

= (-24/25)² - (7/25)²

= 576/625 - 49/625

= 527/625

Therefore,

The values of the sine and cosine functions for 2θ are:

sin(2θ) = -336/625

cos(2θ) = 527/625

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Answer:

64 men

Step-by-step explanation:

80 men / 10 months = 8 men per month, so in 8 months, 64 men can construct the same building.

Answer:

Use Law of Cosines

Step-by-step explanation:

1079²= 590² + 494²- (2)(590)(494) cos θ.

The areas and legths are:

L = 120 - 2w

when width = 10

L = 120 - 2 x 10

120 - 20

Length = 100

Area = L x W

= 10 x 100

= 1000

When width is 30

L = 120 - 2 x 30

L = 60

Area = 30 x 60

= 1800

When width = 40

L = 120 - 2 x 40

L = 120 - 80

L = 40

Area = 40 x 40

= 1600

Hence the area and length are

1. Length = 100

Area = 1000

2. Length = 60

Area = 1800

3. Length = 40

Area = 1600

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Answer:

3.5 YARD

Step-by-step explanation:

3.5 x 3= 10.5x12= 126

Answer: It would be A because the base cost is three dollars with extra 150 per order

Step-by-step explanation:

Answer: y = 1x + k

Step-by-step explanation:

Y would be your answer and the 1x will be the 1 dollar per week where x is the number of weeks that Ms. White is renting the car. The k is the one-week fee. Because this fee is a one-time it does not require a variable like x.

Hope this helps!

Answer:

6,896

Step-by-step explanation:

The population at the end of 15 years can be calculated using exponential growth. The formula is P(t)=P₀(1+r)ᵗᵏ₊₁, where P₀ is the initial population, r is the growth rate, and t is the number of years. Plugging in the given values, you get P(15)=1667(1+0.11)¹⁵, which equals 6,896.

The value of the indicated function would be (fg)(4t2)  = (64t⁶ - 48t⁴ - 4t² + 3)

The question has that

f(x) = x² - 1

f(g) = x -3

We have to find (fg)(4t²)

(fg)(4t²) = f(4t²) (g(4t²)

= (4t²)²-1) (4t² - 3)

we have to expand the bracket

(16t⁴ - 1) (4t² - 3)

= (64t⁶ - 48t⁴ - 4t² + 3)

Hence we can say that the value of

(fg)(4t2)  = (64t⁶ - 48t⁴ - 4t² + 3)

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The simple random sample of size 2 that will be selected is {b, c}.

To create a simple random sample of size 2 using the random digits 9, 0, 3, 7, 3, 2, 4, follow these steps:
1. Assign each letter a random number: 1 corresponds to a, 2 corresponds to b, and so on.
2. Go through the given random digits and find the first two that correspond to a valid letter.

The random digits are 9, 0, 3, 7, 3, 2, 4.
9 and 0 do not correspond to any letters (since we only have numbers 1, 2, 3, and so on). The next digit is 3, which corresponds to the letter c. The following digit, 7, does not correspond to a letter, so we move on to the next digit. The next digit is 3 again, which we have already selected. The next valid digit is 2, which corresponds to the letter b.
Thus, the simple random sample of size 2 that will be selected using these random digits is the set {b, c}.

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Answer:

The maximum display area is 200sq. Ft. (square feet)

The maximum size of the lights is 20ft for the top and 10 ft for the sides

Step-by-step explanation:

I’m gonna delete this tmr because teacher checks this website I think

Answer:

broooooooooooo how do you not know that not trying to be rude but anyways the answer is number 3

The sum of the infinite series is -1/4.

The given infinite series is an alternating series, where the terms alternate in sign. The general term of the series is given by (−1)^n(π^2)^2n/(2n+1)!, where n is the index of the term.

We can use the Alternating Series Test to determine the convergence of the series. The absolute value of the terms approaches zero as n approaches infinity, and the terms are decreasing in magnitude.

Therefore, the series converges. To find the sum of the series, we can use the formula for the sum of an alternating series, which is the limit of the partial sums.

The sum of the infinite series is -1/4.

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→ √20 + √45

→ 2√5 + 3√5

→ (2 + 3)√5

→ 5√5

Therefore, option A is correct.

The volume of the cylinder is 254,571.43cm³.

The surface area of the cylinder is 22,628.57 cm².

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder =πr²h

22/7 x (30²) x 90 = 254,571.43cm³

Surface area = 2πrh + 2πr²

(2 x 22/7 x 30 x 90) + (2 x 22/7 x 30²)

16, 971.43 + 5657.14 = 22,628.57 cm²

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Answer:

x = 45

Step-by-step explanation:

All triangles add up to 180°

x + 75 + 60 = 180

x + 135 = 180

x = 180 - 135

x = 45

Given that a rectangle ABCD, where AB = 4, side BC that AP 3 and P lies on diagonal AC such 3/2. We have to find the distance PB.Solution:In the given rectangle ABCD,AB = 4Therefore,

AD = BC = 4 [because opposite sides of a rectangle are equal]P lies on diagonal AC and AP = 3We have to find PBWe will use the Pythagorean theorem and properties of similar triangles to find the distance PB.From triangle APD,

Using Pythagorean theorem,PD2 = AD2 + AP2 = 42 + 32 = 16 + 9 = 25PD = √25 = 5From triangle ABC,Using Pythagorean theorem,AC2 = AB2 + BC2 = 42 + BC2BC2 = AC2 - AB2= (3/2)2 - 42= 9/4 - 16= - 55/4 [As, the value inside the square root can't be negative, Therefore PB can't exist, and we can say that PB is imaginary or it doesn't exist]Hence, the distance PB is imaginary or it doesn't exist.

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