This is for to get the radius with an area of 508sqm for a circle…?

First, we find the inverse

Then, we solve for x = 1, 2, 3, 4.

The given circumstance is represented by the linear equation 2y = x, and the graph is included below.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given, A student traveled a distance of 68 miles in 136 minutes.

From the general formula of a linear equation:

y = mx + c

where,

m = slope

c = y-intercept

Since At 0 minutes, he started traveling so at 0 minutes total distance he traveled is 0. So the graph will pass through origin.

Thus, the y-intercept will be zero

And Slope of the graph that passes through the origin is always the ratio of the y and x values at any point of the line.

Thu, m = 68/136

m = 1/2

Therefore, a linear equation that represents the given situation is 2y = x, and the graph is attached below.

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Complete question:

Answer:

The graph should help :)

Step-by-step explanation:

the volume of the cylinder is

pi×r²×height = base area × height = 42×13 = 546 in³

the volume of a cone is

pi×r²×height/3 = base area × height / 3

so, the volume of the cone with the same basic sizes as the cylinder is the volume of the cylinder / 3 =

= 546 / 3 = 182 in³

Answer:

ITS 24%

Step-by-step explanation:

To rephrase this problem: 120 is what percent of 500.

Let's call the percent we are looking for  

p

. Then we can say:

p

of 500 = 120 or

p × 500 = 120

Solving for  

p  

while keeping the equation balanced gives:

p × 500

500 = 120

500  p = 0.24  or

24 %

Yeah the answer is B

Step-by-step explanation:

it is correct

because1609.35×5=8046.75

A) The percentage of nurses completing the task in less than 5 minutes is approximately 4.75%. b) The percentage of nurses requiring more than 10 minutes to complete the task is approximately 50%

To solve this problem, we will use the properties of the normal distribution and z-scores. Given that the average completion time for the task is 10 minutes and the standard deviation is 3 minutes, we can proceed with the following calculations:

a) To find the percentage of nurses completing the task in less than 5 minutes, we need to calculate the z-score corresponding to a time of 5 minutes and then determine the area under the normal distribution curve to the left of that z-score.

The z-score formula is given by: z = (x - μ) / σ

where x is the time in question (5 minutes), μ is the mean (10 minutes), and σ is the standard deviation (3 minutes).

z = (5 - 10) / 3 = -5/3 ≈ -1.67

Using a standard normal distribution table or a calculator, we can find that the area to the left of -1.67 is approximately 0.0475 or 4.75%. Therefore, approximately 4.75% of nurses complete the task in less than 5 minutes.

b) To find the percentage of nurses requiring more than 10 minutes to complete the task, we calculate the z-score for a time of 10 minutes and find the area to the right of that z-score.

z = (10 - 10) / 3 = 0

The area to the right of z = 0 is 0.5 or 50%. Therefore, approximately 50% of nurses require more than 10 minutes to complete the task.

c) To find the probability that a nurse will take between 8 and 12 minutes to complete the task, we need to find the area under the curve between the z-scores for 8 and 12 minutes.

z1 = (8 - 10) / 3 = -2/3 ≈ -0.67

z2 = (12 - 10) / 3 = 2/3 ≈ 0.67

Using a standard normal distribution table or a calculator, we find the area to the left of z = -0.67 as approximately 0.2514, and the area to the left of z = 0.67 as approximately 0.7514. Therefore, the probability that a nurse will take between 8 and 12 minutes to complete the task is approximately 0.7514 - 0.2514 = 0.5 or 50%.

d) To find the task times that qualify staff nurses for additional training, we need to determine the z-score corresponding to the slowest 20% of completion times and then convert it back to the original time scale.

The z-score corresponding to the slowest 20% is found by locating the z-score that has an area of 0.2 to its left. Using a standard normal distribution table or a calculator, we find this z-score to be approximately -0.84.

Now, we can convert the z-score back to the original time scale:

z = (x - μ) / σ

-0.84 = (x - 10) / 3

Solving for x, we have:

-0.84 * 3 = x - 10

-2.52 = x - 10

x = 10 - 2.52

x ≈ 7.48

Therefore, the task times that qualify staff nurses for additional training are approximately greater than 7.48 minutes.

In summary:

a) The percentage of nurses completing the task in less than 5 minutes is approximately 4.75%.

b) The percentage of nurses requiring more than 10 minutes to complete the task is approximately 50%

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Answer: 3.625 or 3 5/8

Step-by-step explanation:

So I personally would turn everything into decimals and subtract.

21.250 -17.625

And using our handy calculator, you get

3.625

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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Answer:

y= 4/5x -18/5

Step-by-step explanation:

First step is to find the slope using the points

(-3,-6) and (2,-2)

m = (y2-y1)/(x2-x1)

    = ( -2- -6)/(2 - -3)

    = (-2+6)/(2+3)

    = 4/5

The using the slope intercept form of a line

y = mx+b where m is the slope and b is the y intercept

y = 4/5 x + b

Substitute a point into the equation

-2 = 4/5(2)+b

-2 = 8/5 +b

Subtract 8/5 from each side

-2 -8/5 =b

-10/5 -8/5 =b

-18/5 = n

y= 4/5x -18/5

Answer:

0 < cc + dd ≤ 11

Step-by-step explanation:

≤ means equal to or less than.

It has to be more than zero, obviously.

Answer:

c+d≤11

Step-by-step explanation:

welcome

The ordered pairs are (1,0), (2,6/5),(3,12/5)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as y = 6x/5 - 6/5

putting (1,0) in the equation we get 6×1/5-6/5=0

Similarly we can find the ordered pair as y = 6/5x - 6/5

Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)

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After 4.5 seconds, the baseball will have dropped approximately 99.35 meters.

To find out how far the baseball will have dropped after 4.5 seconds, we need to use the free fall formula.

The terms involved in this calculation are:
Time (t): 4.5 seconds.

Acceleration due to gravity (g): 9.81 m/s² (approximated)
Distance dropped (d)
The free fall formula is:
\(d = (1/2) \times g \times t^{2}\)
Now, we will plug in the given values and solve for d:
Substitute the values
\(d = (1/2) \times 9.81 \times  (4.5)^{2}\)
Calculate the square of time
\(d = (1/2) \times 9.81 \times 20.25\)
Multiply the values
d = 99.3525.

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Answer:

no answer your gay

Step-by-step explanation:

The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.

To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.

First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.

In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.

Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.

Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.

Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.

Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.

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Answer:

7/15

Step-by-step explanation:

No. of green marbles in the bag= 7

No. of blue marbles in the bag= 8

Total no. of marbles in the bag= 7+8=15

As we know that,

Probability( of a random event A)= \(\frac{Favourable\ no.\ of\ elementary\ events}{Total\ no.\ of\ elementary\ events}\)

Hence in this case,

Favourable np. of elementary events (green marbles)=7

Total no. of elementary events (Total no. of marbles in the bag)= 15

Hence, Probability of picking a green marble from the bag=\(\frac{7}{15}\)

Answer:

the set of all real numbers -1≤y≤1

Step-by-step explanation:

according to the definition of 'sin'-function, the max value of it is '+1' and the min is '-1'. Finally, the correct answer is B. the set of all real numbers -1≤y≤+1.

Answer:

68641.97317cm³

Step-by-step explanation:

V=4/3πr³

  =4/3·π·25.43

   ≈68641.97317cm³

Answer:

4 study all 3 because the number 4 is in all the sciences at the same time so 4 students study all the sciences.

1 (biology and physics) + 4(just physics) + 8(physics and chemistry) + 4 (study all the sciences) = 1 + 4 + 8 + 4 = 17

17 study physics

Biology has 5 (just biology) + 1 (biology and physics) + 4 (every science) + 3 (biology and chemistry) + 9 (just chemistry) + 8 (physics and chemistry) = 5 + 1 + 4 + 3 + 9 + 8 = 30 students

30 students study biology or chemistry

Total students

Add all the numbers (including the 2 at the side)

5 + 1 + 4 + 3 + 4 + 8 + 9 + 2 = 36 students

Hope this helps

Step-by-step explanation:

the total number of students in the group is (5/17)12B. We don't have a specific value for B, so we can't give a specific answer for the number of students,

How to solve the problem?

Let's use the following variables to represent the unknowns in the problem:

Let A be the area of area A

Let B be the area of area B

Let x be the number of students working in area B in the morning

Let 3x be the number of students working in area A in the morning

Let y be the total number of students in the group

From the problem statement, we know that A = 1.5B (since area A is 1.5 times area B). We also know that in the morning, the number of students working in area A is 3 times the number of students working in area B. This can be expressed as:

3x = y/2 (since half of the students work in the morning)

In the afternoon, 7/12 of the students work in area A, so the number of students working in area B is:

(1-7/12)y = 5/12y

At the end of the day, area A is done and area B still needs 4 more students to work for another day. This means that the amount of work done by the students in area B is (y/2 - 3x) + (5/12y - 4B) = B, since the total work needed to be done in area B is B and the amount of work done by the students in area A is y/2 - 3x.

Substituting A = 1.5B and 3x = y/2, we can solve for y:

(y/2 - 3x) + (5/12y - 4B) = B

y/2 - 3(y/2)/3 + 5/12y - 4B = B

y/2 - y/2 + 5/12y = 5B

17/12y = 5B

y = (5/17)12B

Therefore, the total number of students in the group is (5/17)12B. We don't have a specific value for B, so we can't give a specific answer for the number of students, but we can say that the number of students is proportional to the area of area B. If we know the area of area B, we can use the equation above to find the total number of students in the group.

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The amount of money increases by $125,000 due to the decrease in the reserve rate. The correct answer is B. It increases the amount by $125,000.

When the Federal Reserve decreases the reserve rate, it allows banks to hold a smaller portion of their deposits as reserves and lend out a larger portion. This change stimulates lending and increases the money supply in the economy through the process of fractional-reserve banking.

In this scenario, the initial deposit of $15,000 can be multiplied by the money multiplier, which is the reciprocal of the reserve rate. Initially, with a reserve rate of 6%, the money multiplier is 1/0.06 = 16.67. Therefore, the initial deposit can lead to a maximum increase in the money supply of $15,000 x 16.67 = $250,050.

When the reserve rate is decreased to 4%, the money multiplier becomes 1/0.04 = 25. Therefore, the same initial deposit of $15,000 can now result in a maximum increase in the money supply of $15,000 x 25 = $375,000.

The difference between the two scenarios is $375,000 - $250,050 = $124,950, which is approximately $125,000. Hence, the amount of money increases by $125,000 due to the decrease in the reserve rate.

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Answer:

1.125

Step-by-step explanation:

Answer:

Step-by-step explanation:

To help put this into simpler terms, we can convert 2.5 to 2 4/8,

Now we just subtract

3 5/8-2 4/8=1 1/8

Let me know if you have any questions

The power expression "w^5" can be entered as "w^5".

To represent a power using the caret symbol, follow these steps:

Start with the base variable or term, in this case, "w".

Type the caret symbol (^), which can be accessed by pressing SHIFT-6 on your keyboard.

Immediately after the caret symbol, enter the exponent or power value, in this case, "5".

The resulting power expression "w^5" represents the variable "w" raised to the power of 5.

Regarding the use of the fraction tool, it is not required to represent the power "w^5" as it does not involve any fraction. The fraction tool is typically used to enter fractions or rational expressions in the form of numerator/denominator.

Therefore, to represent the power "w^5", simply write it as "w^5" without using the fraction tool.

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Answer:

217°

Step-by-step explanation:

the tangent ratio is positive in the first and third quadrants.

37° is the angle in the first quadrant

then the angle in the third quadrant is

180° + 37° = 217°

Answer:

WHERE IS THE QUESTION

Step-by-step explanation:

?????????????????

Answer:

can anyone help me in computer pls

The Solution:

We are asked to identify the linear and non-linear functions in the picture below:

Note:

Linear means straight line graph

Answer:

the the figure shown x=7

Answer:

7°

Step-by-step explanation:

7x + 5 °+ 36° + 90 °= 180° ( being sum of angles of triangle )

7x + 131° = 180°

7x = 180 °- 131 °

7x = 49°

x = 49° / 7

x = 7°

Answer:

1.x=3/4y + 2

Step-by-step explanation:

Add 3y to both sides then after youdidnt that divide both sides by 4 Thereyougo the answer.

i have school myself so i only did one.

Answer:

See explanation

Step-by-step explanation:

It appears that the second graph is better since it seems to be rather consistent. The graph of the first one seems out of place. Therefore it seems to be confusing and could be misleading.