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i only understand number 11

By using linear equations it can be concluded that the systolic blood pressure of a newborn is 95 mm hg.

Linear equations are one of the equations of algebra where this equation contains constants with a single variable.

The equation represents the linear model for the systolic blood pressure of people of several different ages data is y = x + 95.

We want to know the systolic blood pressure of a newborn, which means that the age is 0. It can be written mathematically as x = 0.

Now we input this value into the equation:

y = x + 95

  = 0 + 95

  = 95 mm hg

Thus the systolic blood pressure of a newborn is 95 mm hg.

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Answer:

Step-by-step explanation:

(5 + (-1))/2 = 4/2 = 2

(8 + (-4))/2= 4/2 = 2

(2, 2) is the Midpoint

Answer:

Step-by-step explanation:

Ok so find the mean of bens workout by adding 716,635,802,687,630 next divide by the number of numbers which is 5 so =3,470 divided by 5 =694 that is the mean =average now the question asks how much calories he will need to burn to average Jordan so that mean you will need to find the mean=average of Jordan by adding 850, 674 729 658 614 =3525 now divide by 5= 705 now find the difference between 705 and 694= 11 so Ben needs to burn 11 more calories to get to jordans average/ mean

Ben needs to burn in his next workout to have the same average as Jordan is 55 calories more.

It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.

Jordan and Ben exercise at the same gym.

The table below shows the number of calories they burned in each of their last five workouts.

Total calories burned by Jordon in the last five days will be

Jordon's calories burn = 850 + 674 + 729 + 658 + 614 = 3525

Total calories burned by Ben in the last five days will be

Ben's calories burn = 716 + 635 + 802 + 687 + 630 = 3470

Ben needs to burn in his next workout to have the same average as Jordan will be

→ 3525 – 3470 = 55

Ben needs to burn in his next workout to have the same average as Jordan is 55 calories more.

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Answer:

C is the correct answer I might get this wrong and if so sorry.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

I did the Plato test

The description which is accurate, relative to the origin, for the point (16, 12) is; The point is 16 units to the right of the origin and 12 units above the x-axis.

By convention, When representing points on the Cartesian plane, the representation usually takes the form;

where, a = x-ordinate and b = y-ordinate.

In essence, for the point, (16, 12),

Since the pair of ordinates are positive, The point is 16 units to the right of the origin and 12 units above the x-axis.

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Answer:

C i took the test and got a 100%

Step-by-step explanation:

The maximum value of f over S is approximately 13.6569 and the minimum value of f over S is approximately -10.6569.

Let f(x, y) = 4x − 3y +2 and S = {(x, y): 2x² + 3y² ≤ 1}. Find the maximum and minimum values of f over the region S. In order to find the maximum and minimum values of f over the region S, we need to use Lagrange multipliers. We need to maximize/minimize f(x,y) subject to the constraint g(x,y) = 2x² + 3y² − 1 = 0, i.e., we need to find the critical points of the function f(x,y) + λg(x,y), where λ is the Lagrange multiplier.So, we have to find the partial derivatives of f(x, y) and g(x, y) and set up the following system of equations:
f'x(x,y) + λg'x(x,y) = 0
f'y(x,y) + λg'y(x,y) = 0
g(x,y) = 0
We have:
f'x(x,y) = 4
f'y(x,y) = -3
g'x(x,y) = 4x
g'y(x,y) = 6y
Solving the above system of equations, we get:
4 + 4λx = 0 …(1)
-3 + 6λy = 0 …(2)
2x² + 3y² -1 = 0 …(3)
From equations (1) and (2), we get:
λ = -1 / (4x)
λ = 1 / (2y)
Equating both, we get:
x = -2y …(4)
Substituting equation (4) in equation (3), we get:
2(4y²) + 3y² = 1
y² = 1 / 2
y = ±1 / √2
Substituting the value of y in equation (4), we get:
x = -2y = -2(±1 / √2) = ±√2
So, the critical points are:
(√2, -1 / √2) and (-√2, 1 / √2)
Now, we need to find the value of f at these critical points. We have:
f(√2, -1 / √2) = 4(√2) - 3(-1 / √2) + 2 = 8√2 + 3 / √2 + 2
f(-√2, 1 / √2) = 4(-√2) - 3(1 / √2) + 2 = -8√2 + 3 / √2 + 2
Also, we need to check the value of f(x,y) on the boundary of S. We have:
g(x,y) = 2x² + 3y² -1 = 0
Simplifying, we get:
3y² = 1 - 2x²
y = ±√((1 - 2x²) / 3)
Now, we need to find the value of f(x,y) on the boundary of S, i.e., for y = √((1 - 2x²) / 3) and y = -√((1 - 2x²) / 3). We have:
f(x,√((1 - 2x²) / 3)) = 4x − 3√((1 - 2x²) / 3) +2
f(x,-√((1 - 2x²) / 3)) = 4x + 3√((1 - 2x²) / 3) +2
To find the maximum and minimum values of f over S, we need to find the maximum and minimum values of f at the critical points and at the points on the boundary of S that we have just found. Therefore, we have:
f(√2, -1 / √2) = 8√2 + 3 / √2 + 2 ≈ 13.6569
f(-√2, 1 / √2) = -8√2 + 3 / √2 + 2 ≈ -10.6569
f(1 / √2, √(1 / 6)) = 4 / √2 - 3(√(1 / 6)) + 2 ≈ 0.5894
f(-1 / √2, -√(1 / 6)) = -4 / √2 - 3(√(1 / 6)) + 2 ≈ -9.5894
Therefore, the maximum value of f over S is approximately 13.6569 and the minimum value of f over S is approximately -10.6569.

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Answer:

56

Step-by-step explanation:

48 ounces would feed 6 people and if 16 oz is for two people than 8 oz is for one person. So, 48 plus 8 is 56.

Answer:

Area of sector DFE = 177.79cm²

Area of sector DGE = 437.65cm²

Step-by-step explanation:

Find the diagram attached;

Area of the sector is expressed according to the formula;

Area of the sector = theta/360 * πr²

theta is the central angle = 360 - 256

theta = 104°

r is the radius = 14cm

Substitute into the formula as shown;

Area of the sector = theta/360 * πr²

Area of the sector DFE = 104/360 * 3.14(14)²

Area of the sector DFE = 0.289 * 615.44

Area of the sector DFE = 177.79cm²

Hence the area of the sector <DFE to the nearest hundredth is 177.79cm²

For sector DGE:

Area of the sector DGE = 256/360 * 3.14(14)²

Area of the sector DGE = 0.7111 * 615.44

Area of the sector DGE = 437.65cm²

Hence the area of the sector <DGE to the nearest hundredth is 437.65cm²

Answer:

6 is 12 times as many as 2

Step-by-step explanation:

6 x 2 = 12, you can multiply 6 with 2 with the answer being 12.

Responder:

135

Explicación paso a paso:

Número de bolsas compradas = x

Costo total de compra = 675

Costo total de ventas = 1080

Beneficio por bolsa = 3

Por eso :

Beneficio total + costo total de compra = costo total de ventas

3x + 675 = 1080

3x = 1080 - 675

3 veces = 405

x = 405/3

x = 135

Se compraron 135 bolsas

Answer:

\(g(x) = - 3x + 2 \\ g( - 2) = - 3 \times - 2 + 2 \\ = 8 \\ g( - 1) = - 3 \times - 1 + 2 = 5\)

Answer:

I think it's the answer is 1.59

The sentence that translates the linear equation 5 · x + y = 2 is: The sum of five times x plus y equals 2.

Herein we find the mathematical definition of a linear equation of the form a · x + b · y = c, where a, b, c are real coefficients. This equation must be translated into human language, that is, a complete sentence in order to respond this question. Therefore, the expression can be translated as follows:

5 · x + y = 2: The sum of five times x plus y equals 2.

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Answer:

Yes,

Common ratio = 5.

Step-by-step explanation:

If its geometric it will have a common ratio.

5/1 = 5

25/5 = 5

125/25 = 5

So its geometric with commo ratio 5.

Answer:

True

Step-by-step explanation:

The left side  22  is equal to the right side  22 , which means that the given statement is always true.

Step-by-step explanation:

If we want to prove that x is equal to seven, we should first solve the equation for x so:

2x + 8 = 5x - 13

We should first add 13 on both sides and subtract 2x from both sides:

2x + 8 + 13 - 2x = 5x - 13 + 13 - 2x

21 = 3x

We can then divide both sides by 3 to get:

x = 7

Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.

To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.

Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.

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Answer:

See Below

Step-by-step explanation:

4) t = n -r  Solve for n

Add r to both sides

t = n -r

+r     +r

t +r = n

Or  n = t+r

7) \(\frac{f}{g}\) = h    Solve for f

Multiply both sides by g to get rid of fraction

g/1 (f/g) = h(g)

f = hg

The angle of depression from point R to point S is ∠1.

The angle of elevation from point S to point R is ∠2.

∠2 is the angle of elevation from S to R.

∠1 is the angle of depression from point R to point S.

What is an angle of depression?

If the line of sight is directed downward from the horizontal line, then an angle is created with the horizontal line. The angle formed between the horizontal line and the observer's line of sight is known as the angle of depression if the object being observed is below the observer's level.

There is an angle of elevation from point R to S. Thus point R is lie above S.

The angle of depression from point R to point S is ∠1.

The angle of elevation from point S to point R is ∠2.

∠2 is the angle of elevation from S to R.

∠1 is the angle of depression from point R to point S.

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According to the distance formula, the y-coordinate of the point P is -4/5.

What is the distance formula?

The distance formula is:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points, and d is the distance between them.

We know that a point (x, y) lies on the unit circle if and only if the distance from the point to the origin is 1. In this case, the point P(-3/5, y) lies on the unit circle, so we can write:

sqrt((-3/5)^2 + y^2) = 1

Simplifying this equation, we get:

9/25 + y^2 = 1

Subtracting 9/25 from both sides, we get:

y^2 = 16/25

Taking the square root of both sides, we get:

y = ±4/5

Since the point P is in the second quadrant, its y-coordinate must be negative. Therefore, we have:

y = -4/5

So the y-coordinate of the point P is -4/5.

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Answer:

b

Step-by-step explanation:

The cost of the fare based on the information is $16.32.

Amount for the fare = $12.75

Tip for the driver = 20% = 20% × $12.75 = $2.55

Tax rate = 8% = 8% × $12.75 = $1.02

Therefore the total amount will be:

= Cost of fare + Tip + Tax

= $12.75 + $2.55 + $1.02

= $16.32

The cost is $16.32. This illustrate the concept of addition.

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The value of the exponential function, f(x), when x = 18 is 14.44

An exponential function is a function that consists of a constant term that has an index of the argument of the function, or in which the argument of the function is an index of a constant.

The general form of an exponential function is presented as follows;

The value of f(0) is left out in the information, therefore, where k = 0, we get;

f(x) = a·bˣ

From the question, we get;

f(4) = 25, therefore;

f(4) = 25 = a·b⁴

f(11) = 19, therefore;

f(11) = 19 = a·b¹¹

f(4)/f(11) = 25/19 = a·b⁴/(a·b¹¹) = b⁻⁷

b⁷ = 19/25

b¹⁸ = b⁷⁺¹¹ = b⁷ × b¹¹

b¹¹ = 19/a

f(18) = a·b¹⁸ = a × b⁷ × b¹¹ = a × b⁷ × b¹¹ = a × (19/25) × 19/a = 19²/25

f(18) = 19²/25

f(18) = 361/25 = 14,44

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The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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Answer:

The answer is 1/3.

Answer:

-25

Step-by-step explanation:

-5 times 5 is -25

The image is formed behind the mirror, and the image is upright.

Given data: Object height, h = 3.0 cm Image distance, v = ? Object distance, u = -20.0 cmFocal length, f = -60.0 cmUsing the lens formula, the image distance is given by;1/f = 1/v - 1/u

Putting the values in the above equation, we get;1/-60 = 1/v - 1/-20

Simplifying the above equation, we get;v = -40 cm

This negative sign indicates that the image is formed behind the mirror, as the object is placed in front of the mirror.

Hence, the image is virtual and erect. Using magnification formula;M = -v/uWe get;M = -(-40) / -20M = 2Hence, the height of the image is twice the height of the object.

The height of the image is given by;h' = M × hh' = 2 × 3h' = 6 cm Now, let's draw the ray diagram:

Thus, the position of the image is -40.0 cm and the height of the image is 6 cm.

The image is formed behind the mirror, and the image is upright.

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Answer:

Step-by-step explanation:

Problem 1

Set Up the Proportion

3 cm / 8 km = x / 20 km                Cross multiply

3*20 = 8x                                        Combine the left

60 = 8x                                           Divide by 8

60/8 = x

7 4/8  = x

7 1/2 km = x

7.5 km  = x

Problem 2

3 cm / 8km = 12 cm / x                  Cross multiply

3x = 12 * 8                                      Combine the right

3x = 96                                          Divide by 3

3x/3 = 96/3

x = 32 km

The probability of getting a return of 200% or more in a single year is approximately 0.0000317 or 0.00317%.

Assuming that the returns from holding small-company stocks are normally distributed, the probability of doubling or tripling your money in a single year can be estimated using the normal distribution formula.

To calculate the probability of doubling your money, you need to find the number of standard deviations away from the mean that represents a return of 100%. If we assume that the average return for small-company stocks is 10% per year with a standard deviation of 20%, we can use the formula:

Z = (100% - 10%) / 20% = 4.5

Using a normal distribution table or calculator, we can find that the probability of getting a return of 100% or more in a single year is approximately 0.0000317 or 0.00317%.

Similarly, to calculate the probability of tripling your money, you need to find the number of standard deviations away from the mean that represents a return of 200%. Using the same formula as above, we get:

Z = (200% - 10%) / 20% = 9.5

Using a normal distribution table or calculator, we can find that the probability of getting a return of 200% or more in a single year is approximately 0.000000002 or 0.0000002%.

It's important to note that these calculations are based on assumptions and estimates, and actual returns may vary significantly. Investing in small-company stocks involves significant risks, and investors should carefully consider their investment goals, risk tolerance, and overall financial situation before making any investment decisions.

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We can reject the null hypothesis and conclude that there is a significant difference in the average customer satisfaction ratings between Home Depot and Lowe's.

What is hypothesis?

A hypothesis is a proposed explanation or prediction that can be tested through empirical investigation.

To test the difference in the average customer satisfaction rating for Home Depot and Lowe's, we can perform a two-sample t-test. Let's go through the steps of conducting the hypothesis test:

Step 1: State the hypotheses:

Null Hypothesis (H₀): The average customer satisfaction rating for Home Depot is equal to the average customer satisfaction rating for Lowe's.

Alternative Hypothesis (H₁): The average customer satisfaction rating for Home Depot is different from the average customer satisfaction rating for Lowe's.

Step 2: Set the significance level (α):

Let's assume a significance level of α = 0.05. This means we want to have strong evidence to reject the null hypothesis if the p-value is less than 0.05.

Step 3: Collect the data and calculate the sample statistics:

We have the following customer satisfaction ratings:

Home Depot: 79, 81

Lowe's: 72, 78, 79, 76, 72

To calculate the sample statistics, we need to find the sample means and sample standard deviations for Home Depot and Lowe's.

Sample mean of Home Depot \((\bar x_1)\) = (79 + 81) / 2 = 80

Sample mean of Lowe's \((\bar x_2)\) = (72 + 78 + 79 + 76 + 72) / 5 = 75.4

To calculate the sample standard deviations, we need to find the differences between each rating and the respective sample mean, square the differences, sum them up, divide by n-1, and then take the square root.

Home Depot: [(79-80)² + (81-80)²] / (2-1) = 1 / 1 = 1

Lowe's: [(72-75.4)² + (78-75.4)² + (79-75.4)² + (76-75.4)² + (72-75.4)²] / (5-1) = 16.8 / 4 = 4.2

Step 4: Calculate the test statistic:

To calculate the test statistic, we use the formula:

\(t = (\bar x_1 - \bar x_2) / \sqrt((s_1^2/n_1) + (s_2^2/n_2))\)

Substituting the values:

\(t = (80 - 75.4) / \sqrt{((1^2/2) + (4.2^2/5))}\\\\t = 4.6 / \sqrt(0.5 + 1.68)\)

t ≈ \(4.6 / \sqrt(2.18)\)

t ≈ 4.6 / 1.476

t ≈ 3.116

Step 5: Determine the p-value:

We need to find the p-value associated with the calculated test statistic. Since this is a two-sided test, we need to find the probability of observing a test statistic as extreme as t = 3.116 or more extreme in either tail of the t-distribution.

Using a t-distribution table or statistical software, the p-value is found to be p ≈ 0.021.

Step 6: Make a decision:

Compare the p-value to the significance level. Since the p-value (0.021) is less than the significance level (0.05), we have enough evidence to reject the null hypothesis.

Step 7: State the conclusion:

Based on the sample data, there is sufficient evidence to conclude that the average customer satisfaction rating for Home Depot is different from the average customer satisfaction rating for Lowe's at a significance level of 0.05.

Therefore, we can reject the null hypothesis and conclude that there is a significant difference in the average customer satisfaction ratings between Home Depot and Lowe's.

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