Sabrina likes to swim 10 hours a week to stay in shape. She tracks the amount of time she swims each week relative to her goal.

The table shows the data for the last five weeks.

Week 1 2 3 4 5
Swim time (hours) 1.25 −1 2 2/5 0 −2
What is the average swim time per week for Sabrina relative to her goal number of hours?

Drag a value to the box to complete the statement.

Relative to Sabrina's goal, her average swim time over the last five weeks is Response area hours.

Using the compound interest formula, if the account compounds at 4.8% monthly and he withdraws $500 monthly, it will take Steve 33 years, 7 months (403 months) to reduce $100,000 to a balance (future value) of $0.

The future value is the compounded present value, while the present value is the discounted future value.

However, with periodic withdrawals, a present value that compounds at an interest rate into the future can become $0 (future value) after some periods.

The time (period) Steve reduces his inheritance to $0 can be computed using an online finance calculator as follows:

I/Y (Interest per year) = 4.8%

PV (Present Value) = $100,000

PMT (Periodic Payment) = $-500

FV (Future Value) = $0

Results:

N (# of periods) = 403.164

Sum of all periodic payments = $-201,581.83

Total Interest $101,581.83

Thus, after 403 monthly withdrawals, Steve's inheritance will be reduced to a $0 future value.

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The midpoints of the segment are (Q1) (5, 7) and (Q2) (8, -2), (Q3) while the endpoint of Q is (7, 2)

Question 1

On the segment, we have the following endpoints

(8,9) and (2,5)

The midpoint of the segment is calculated using

Midpoint = 1/2 * (x1 + x2, y1 + y2)

Where

(x1, y1) = (8, 9)

(x2, y2) = (2,5)

Substitute the known values in the above equation

So, we have

Midpoint = 1/2 * (8 + 2, 9 + 5)

Evaluate the sum in the above equation

So, we have

Midpoint = 1/2 * (10, 14)

Evaluate the product in the above equation

So, we have

Midpoint =  (5, 7)

Question 2

On the segment, we have the following endpoints

(9, -16) and (7, 12)

The midpoint of the segment is calculated using

Midpoint = 1/2 * (x1 + x2, y1 + y2)

Where

(x1, y1) = (9, -16)

(x2, y2) = (7, 12)

Substitute the known values in the above equation

So, we have

Midpoint = 1/2 * (9 + 7, -16 + 12)

Evaluate the sum in the above equation

So, we have

Midpoint = 1/2 * (16, -4)

Evaluate the product in the above equation

So, we have

Midpoint =  (8, -2)

Question 3

On the segment, we have the following endpoints

Midpoint  = (5, 3)

Point = (3, 1)

The midpoint of the segment is calculated using

Midpoint = 1/2 * (x1 + x2, y1 + y2)

Where

(x1, y1) = (3, 1)

(x2, y2) = (x, y)

Substitute the known values in the above equation

So, we have

(5, 3) = 1/2 * (3 + x, 1 + y)

So, we have

(10, 6) = (3 + x, 1 + y)

Solve for x and y

So, we have

x = 7

y = 5

So, we have

(x, y) = (7, 2)

Hence, the midpoints of the segment are (Q1) (5, 7) and (Q2) (8, -2), (Q3) while the endpoint of Q is (7, 2)

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Answer:

lemme answer it,I'll put the answer at the comment section

(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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In the class, Lucy's score is 6.

In statistics, the median is the middle value in a sorted, ascending or descending list of numbers. Thus, it represents the midpoint of the data.

The median is often compared with other descriptive statistics such as the mean (average), mode, and standard deviation.

Since Lucy is one of the 29 students in the class and her score was the same as the median score for her class.

Thus, the median score will be 15th score (i.e. the midpoint of 29). Using the frequency in of each score from the figure, let's keep adding the frequency until we reach 15 and we will then check the corresponding score at the 15th position:

2 + 2 + 4 + 7 = 15

Thus, the the corresponding score at the 15th position is 6.

Therefore, the median score is 6 and consequently Lucy's score is 6.

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Answer:

7000

Step-by-step explanation:

you remove 1 from hundred to the thousand

Answer:

Step-by-step explanation: Refer to the photo taken.

Answer:

need a answer

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

-0.7x=2.1

x = 2,1 : (-0,7)

x = ( 21/10 ) : (-7/10)

x = -3

Step-by-step explanation:

Given equation

y = x + 6

Comparing the given equation with y = mx + c so

slope (m) = 1

y-intercept (c) = 6

Hope it will help :)❤

Answer:

\(s = \sqrt{38} - 3 \: \: - \sqrt{38} - 3 = 3.16 \: \: - 9.16\)

Step-by-step explanation:

\(1. \: a = 1 \\ b = 6 \\ c = - 29 \\ 2. \: s {}^{2} + 6s - 9 - 9 - 29 \\ 3. \: (s + 3) {}^{2} - 9 - 29 \\ 4. \: (s + 3) {}^{2} - 38 \\ 5. \: (s + 3) {}^{2} - 38 = 0 \\ 6. \: (s + 3) {}^{2} = 38 \\ 7. \: s + 3 + - \sqrt{38} \\ 8. \: s + 3 = \sqrt{38} \\ 9. \: s = \sqrt{38} - 3 \\ 10. \: s = - \sqrt{38} - 3 \\ 11. \: s = \sqrt{38 - 3 \: - \sqrt{38} } - 3 = 3.16 \: - 9.16\)

Answer: 1 in 8, or 12.5% chance.

Step-by-step explanation: If there is a 50-50 chance in landing heads on the first flip, and you land it, there was a 50%chance. To flip it again would be another 50-50 chance. Half of 50% is 25%, or 1 in 4. To land it again would be half of 25%, which is 12.5%, or 1 in 8 chance.

Answer:

x= 1/5y + 6/5

Step-by-step explanation:

Answer:

12,000psi

Step-by-step explanation:

Given the 7 days strength of a concrete to be 3000psi, to calculate the estimated mean​28-day strength of this concrete the following equality equation is applied

7 days strength = 3000psi

28days strength = y

To get y, we will Cross multiply

7 × y = 28×3000

7y = 28×3000

7y = 84000

Divide both sides by 7

7y/7 = 84000/7

y = 12000

hence the estimated mean 28-day strength of this concrete is 12,000psi

Answer:

v

Step-by-step explanation:

The equation of the graph is,

⇒ y = 6x + 2

Since, The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

For each by sitting job. Adam charges a fee for his bus fare plus an hourly rate.

And, The graph shows how he calculates the cost of a babysitting job.

Now, By graph;

Two points on the line are (1, 8) and (2, 14).

Now,

Since, The equation of line passes through the points (1, 8) and (2, 14).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (14 - 8)) / (2 - 1)

m = 6 / 1

m = 6

Thus, The equation of line with slope 6 is,

⇒ y - 8 = 6 (x - 1)

⇒ y - 8 = 6x - 6

⇒ y = 6x + 2

Therefore, The equation of line will be;

⇒ y = 6x + 2

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It be concluded that figure A and figure C are showing similar triangle but they are not congruent.

If two triangles are similar then they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are said to be similar figures.

Similarity of two triangles mean when two triangles satisfy the AAA property that is when three angles of one triangle is equivalent to angles with another triangle.

Here for the figure A and C they satisfy the AAA property.

Hence it be concluded that figure A and figure C are showing similar triangle but they are not congruent. The triangles have same shape but not in same size.

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Answer:

6/49

Step-by-step explanation:

-2 times -3 is 6, and 7 times 7 is 49. therefore, the answer is 6/49.

The given polynomial is

x^3 - 7x - 6

We would equate eaxh factor to zero, solve for x to get the root. We would substitute the value of x into the polynomial. If the result is zero, then it is a factor. We have

Considering x + 1,

x + 1 = 0

x = - 1

Substituting x = - 1 into the polynomial, it becomes

(- 1)^3 - 7(- 1) - 6

- 1 + 7 - 6

= 6 - 6 = 0

Since the result is zero, x = - 1 is a root. Thus, the correct option is

D. x + 1

The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;

\(y = 10^{16}\)

y = 10,000,000,000,000,000.

y = x² - 17x + 182

y = 16² - 17(16) + 182

y = 256 - 272 + 182

y = 166.

\(y = 1.17^x\\\\y = 1.17^{16}\)

y = 12.330304108137675851908392069373.

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The Binomial probability of x = 3 for the given parameters is 0.2048

The Binomial probability relation can expressed as :

\(P(x) = nCx * p^{n} * q^{n-x}\)

where :

for x = 3

We substitute x into the equation thus :

P(x = 3) = 17C3 * (1/8)³ * (1 - 1/8)¹⁴

P(x = 3) = 0.2048

Therefore, the probability of x = 3 in the scenario given is 0.2048

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Answer:

S= -3

Step-by-step explanation:

3s-12=-21

3s= -21+12

3s= -9

s= -9/3

s= -3

Answer:

s = -3

Step-by-step explanation:

\(3s - 12 = - 21\)

Collect like terms

\(3s = - 21 + 12\)

Add the numbers :

\( - 21 + 12 = - 9 \\ \\ 3s = - 9\)

Divide both sides of the equation by 3

\( \frac{3s}{3} = \frac{ - 9}{3} \)

Simplify

\(s = - 3\)

Answer:

45

Step-by-step explanation:

Answer:

Step-by-step explanation:

ac=3.14/p==\(\beta \alpha\)ty

Answer:

2/9

Step-by-step explanation:

Answer:

5/12 is already simplified but 17/8= 2 1/8

Step-by-step explanation:

The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.

To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.

Using the properties of logarithms, we can rewrite the equation as follows:

2 log₅ x = log₅ (4 * 9)

Next, we simplify the right side:

2 log₅ x = log₅ (36)

Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:

x² = 36

Taking the square root of both sides, we get:

x =  √36

Since the square root of 36 can be either positive or negative, we have two possible solutions:

x = 6

It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.

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125

Step-by-step explanation:

Surface area is the total area of all the surfaces of a shape. In order to calculate the surface area we need to consider each unique face individually.

The base of the pyramid is a square of side-length 5, and its area is 5×5=25

The side faces form an iscosoles triangle of height 10 and base length 5, its area is 10×5×=25.

The total surface area = Triangle +Triangle +Triangle +Triangle +Square = 25+25+25+25+25 = 125

Given:

The data ain the table is given.