17m - 2 - 9m + 7 - 2m
Please help me with this

The function's formula for the ice sheet's thickness is S(t) = 0.2t + 1.02.

Mathematically, a linear function is sometimes referred to as an expression or the slope-intercept form of a straight line and it can be modeled (represented) by this mathematical expression;

S(t) = mt + b

Where:

After a time of 7 weeks and a rate of decrease of 0.2, the y-intercept or initial amount of ice can be calculated as follows;

S(t) = mt + b

2.42 = 0.2(7) + b

2.42 = 1.4 + b

y-intercept, b = 2.42 - 1.4

y-intercept, b = 1.02.

Therefore, the required linear function is given by S(t) = 0.2t + 1.02.

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Complete Question:

A lake near the Arctic Circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a rate of 0.2 meters per week. After 7 weeks, the sheet is only 2.42 meters thick.

Let S(t), denote the ice sheet's thickness S (measured in meters) as a function of time t (measured in weeks).

Write the function's formula.

S(t) = ?

Answer:

34.5 miles.

Step-by-step explanation:

Step-by-step explanation:

Cot t = Cos t / Sin t

Hope it helps

Using degree of freedom,

Two degrees of freedom would we report when we report the results of our study is (2,24).

Degree of freedom:

The statistical degrees of freedom (DF) indicate the number of independent values that can be changed in the analysis without violating the constraints.

degrees of freedom is the number of independent values that can be estimated in a statistical analysis. It can also be thought of as the number of values that are free to vary when estimating the parameters

DF = N – P

Where:

N = sample size

P = the number of relationships

We given that,

Number of groups , k = 3

Number of total participants, n = 27

Degrees of freedom for F-test is F(k-1,n-k)

= F(3-1 , 27-3)

= F(2,24)

Hence, (2,24,) are required two degrees of freedom.

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Answer:

True.

Step-by-step explanation:

Natural numbers are 1, 2, 3, 4 .........

True.

Answer:

TRUE!

Step-by-step explanation:

explanation in image above, i hope it helps!

Answer:

5x + 8

Step-by-step explanation:

2x+3+3x+5

2x+8+3x

And, thus 5x + 8 is the answer.

sorry if i get it wrong.......

Answer:

Gerry arrived at the bus station at 12:30 P.M.

Step-by-step explanation:

From noon and 5:00 P.M. there are 5 hours.

Gerry, Dale, and Pat arrived at the bus stop within that interval, which means the sum of the times elapsed between their arrival times must be 5.

4 out of the 5 hours elapsed since Gerry and Dale's arrivals. This means there is only one hour left for twice x.

If twice x is one hour, then x is half an hour. Thus, the complete sequence of arrivals is:

Gerry arrived at the bus station at 12:30 P.M.

Dale arrived at the bus station at 4:30 P.M.

Pat arrived at the bus station at 5:00 P.M.

the exact formula for X(n) is given by the sum of i from 1 to 4n + 1. The closed-form formula for X(n) is (4n + 1)(4n + 2)/2, expressed as a polynomial function. The asymptotic value of X(n) is approximately 4n^2, representing the growth rate as n approaches infinity.

(i) The exact formula for X(n) can be determined by analyzing the procedure PrintXs(n) and counting the number of times the letter "X" is printed. In this case, the outer loop runs for 4n + 1 iterations, and for each iteration, the inner loop runs i times. Thus, the total number of "X" letters printed is given by the sum of i from 1 to 4n + 1.

(ii) To express X(n) as a closed-form polynomial function, we can simplify the sum mentioned above. By using the formula for the sum of an arithmetic series, the closed-form formula for X(n) can be written as X(n) = (4n + 1)(4n + 2)/2.

(iii) The asymptotic value of X(n) can be expressed using the e-notation, which represents an estimate of the growth rate. In this case, as n approaches infinity, the dominant term in the expression (4n + 1)(4n + 2)/2 is 4n^2. Therefore, we can express the asymptotic value of X(n) as X(n) ~ 4n^2.

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Answer:

8 scoops of flour

Step-by-step explanation:

It asks for you to solve using unit rates so we need to find out the rate of how much flour you need to bake a single cookie since the question is about how many scoops of flour Shelby needs to bake 64 cookies.

So first, do 6/48, which is 1/8.

It takes 1/8 scoop of flour to bake one cookie.

Unit rate: 1/8 scoop of flour per cookies.

Now, we can multiply 1/8 by 64 since 64 is the number of cookies Shelby needs and 1/8 is the amount of flour for one single cookies. 1/8 * 64 = 8.

Shelby needs 8 scoops of flour to bake 64 cookies

True. We would not reject the null hypothesis if the computed value of f is 0.99 and the f critical value is 3.89.

In hypothesis testing, the f-value is used to compare the variability between groups or conditions to the variability within groups. The f-value is compared to a critical value to determine if the results are statistically significant.

If the computed value of f is 0.99 and the f critical value is 3.89, we would not reject the null hypothesis. In order to reject the null hypothesis, the computed f-value should be larger than the critical f-value. Since 0.99 is smaller than 3.89, we do not have sufficient evidence to reject the null hypothesis.

The f critical value represents the cutoff point beyond which the observed data would be considered statistically significant. If the computed f-value is smaller than the critical f-value, it means that the observed data does not provide strong enough evidence to reject the null hypothesis. Therefore, in this scenario, we would not reject the null hypothesis.

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Answer:

-6

Step-by-step explanation:

the position is labeled -6 since it goes down

Answer:

  -6

Step-by-step explanation:

Ground level is taken to be zero on this scale, so 6 feet below ground level will be designated as -6.

Answer:

angle one is 90

angle two is 115

angle 3 is 65

Step-by-step explanation:

Answer:

it’s 11.

Step-by-step explanation:

The value of r if DM = 60 according to the question is; 11

According to the diagram given;

The line DM = DG + GM

The line DM is therefore;

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Based on the above, the width of the rectangle is 10.

Let's use "w" to represent the width and "l" to represent the length of the rectangle.

From the problem, we know that the area of the rectangle is 40, so we can write:

Area = length × width

40 = l × w

We also know that the width is 2 less than 3 times the length, so we can write:

width = 3l - 2

Now we can substitute this expression for "w" in the equation for the area: 40 = l × (3l - 2)

Expanding the right side gives: 40 = 3l² - 2l

Rearranging and dividing by 2 gives:

3l²- 2l - 40 = 0

(3l + 10)(l - 4) = 0

Therefore, l = 4 (because the length cannot be negative), and we can find the width using the expression we found earlier:

width = 3l - 2

width = 3(4) - 2

width = 10

So the width of the rectangle is 10. Therefore, the answer is  10.

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Answer:

175.62

Step-by-step explanation:

39.2•448=17561.6

17561.6/100=175.616

=175.62

Answer:

ASA

Step-by-step explanation:

That is true because if you imagine the triangle it works and it uses the case of ASA

ΔJKL ≅ ΔPQR using the AAS congruency criteria.

The statement is true.

A geometric figure is said to be congruent or to be in the relation of congruence if it is possible to superimpose it on another so that their whole surfaces match. When two sides and their included angle in one triangle are equal to two sides and their included angle in another, two triangles are said to be congruent.

As per the given data in the question:

For ΔJKL and ΔPQR

Given: in triangles ΔJKL and ΔPQR:

JK=PQ

∠J=∠P

∠K=∠Q

ΔJKL ≅ ΔPQR using the AAS congruency criteria:

∠J = ∠P {equal angle}

∠K = ∠Q {equal angle}

JK = PQ {equal side}

AAS axiom . When two angles and one side of a triangle is equal then the triangles are congruent.

Hence, ΔJKL ≅ ΔPQR using the AAS congruency criteria, the statement is true.

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Answer:

V = 36 pi cm^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3 where 4 is the radius

V = 4/3 pi(3)^3

V = 36 pi cm^3

Total surface area of the regular square-based pyramid is 156 square units.

To find the total surface area of a regular square-based pyramid, we need to calculate the area of the base and the lateral faces.

First, let's calculate the area of the base. Since the base of the pyramid is a square, we can find its area by squaring the length of one side. In this case, the base side length is 6 units, so the area of the base is 6^2 = 36 square units.

Next, let's calculate the area of the four triangular lateral faces. Each lateral face is a triangle with base equal to the base side length of the pyramid (6 units) and height equal to the slant height of the pyramid (10 units). The area of each triangular face can be calculated using the formula for the area of a triangle: (1/2) * base * height. Therefore, the area of each triangular face is (1/2) * 6 * 10 = 30 square units.

Since there are four triangular lateral faces, the total area of the lateral faces is 4 * 30 = 120 square units.

Finally, to find the total surface area, we add the area of the base and the area of the lateral faces: 36 + 120 = 156 square units.

So, the total surface area of the regular square-based pyramid is 156 square units.

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Answer:

7q - 21 (can also be written as 7(q - 3))

Step-by-step explanation:

\(4(q-12) + 3(q + 9)\\4q - 48 + 3q + 27\\7q - 21\)

The Macaulay duration of a bond is a measure of the weighted average time until the bond's cash flows are received.

To calculate the Macaulay duration, we need the bond's cash flows and the yield to maturity. In this case, the bond has a coupon rate of 12 percent, sells at a yield to maturity of 14 percent, and matures in 15 years. The second paragraph will explain how to calculate the Macaulay duration.

To calculate the Macaulay duration, we need to determine the present value of each cash flow and then calculate the weighted average of the cash flows, where the weights are the proportion of the present value of each cash flow relative to the bond's price.

In this case, the bond has a coupon rate of 12 percent, so it pays 12 percent of its face value as a coupon payment every year for 15 years. The final cash flow at maturity will be the face value of the bond.

To calculate the present value of each cash flow, we discount them using the yield to maturity of 14 percent.

Next, we calculate the weighted average of the cash flows by multiplying each cash flow by its respective time until receipt (in years) and dividing by the bond's price.

By performing these calculations, we can determine the Macaulay duration, which represents the weighted average time until the bond's cash flows are received.

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Answer:

256

Step-by-step explanation:

((2*2)²)²

(((4)²)²)

(16)²

256

Answer:

20

Step-by-step explanation:

Answer:

A. Jimmy started with more money in their savings account.

B. Daniel is saving at a faster rate by 10 more dollars.

C. Daniel.

Step-by-step explanation:

Answer:for start

Step-by-step explanation:cos(28)=x over 19 than 19times cos(28)=x and x= 16.8

If a merchant bought an item for $50.00 and sold it for 30% more (markup), the item's selling price was $65.00.

The markup is the percentage or amount by which an item is sold.

The markup is based on the cost price.  After adding the markup amount, the selling price is determined to generate some profits for the seller.

The purchase price of an item = $50.00

The markup = 30%

Markup factor = 1.3 (1 + 0.3)

The selling price of the item = $65.00 ($50.00 x 1.3)

Thus, for adding 30% more (markup) on the cost of the item, the selling price is determined as $65.00.

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Mixture is kept undisturbed for some time. After some time, sand being heavier and insoluble in water, settles down at the bottom of container.

Sand and water are separated in this situation using filtering. The filter funnel, which is lined with filter paper, is filled with the sand and water mixture.

The paper allows the water to escape and accumulate in the beaker. Sand particles build up in the filter funnel because they can't pass through the filter paper. One of humankind's first methods of water treatment, distillation desalination is still a widely used treatment method today.

Many ancient civilizations employed this method to turn seawater into drinkable water aboard their ships. The differing densities of salt and sand are the basis for another physical separation technique. Sand has a density of 2.65 g/cm3, but salt has a density of 2.16 g/cm3. 

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Answer:

The answers to the question above are given below:

Step-by-step explanation:

Question: What is a discrete probability​ distribution?

Answer

A discrete distribution is very important in data research as it shows in tabular form the probabilities that can be found in a list of distribution values and their individual probabilities in counted data. Usually, from the pool of distribution of numbers, the discrete distribution shows the probability of having countable numbers out of the pool.

Question: Choose the correct answer below. A. A discrete probability distribution exclusively lists probabilities. B. A discrete probability distribution lists each possible value a random variable can​ assume, together with its probability. C. A discrete probability distribution lists each possible value a random variable can assume. D. None of the above

The correct answer is: option B "discrete probability distribution lists each possible value a random variable can​ assume, together with its probability."

Question: What are the two conditions that determine a probability​ distribution?

The correct answer is:

1. Since each value may not be zero, each probability must include between 0 and 1.

2. When probabilities are totaled, it must give 1.

Answer:

Step-by-step explanation:

(-1,4) (1,4) 2,0

The endpoint of the line segment will be (-1, 4) and (2, 0). Then the correct options are B and E.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.

Section Stomach muscle has endpoints A(- 2, 8) and B(4,0). The section is widened at the beginning by a scale variable of 0.5 to make a fragment of the Stomach muscle.

The endpoint of the line segment is given as,

A = 0.5(-2, 8)

A = (-1, 4)

B = 0.5(4, 0)

B = (2, 0)

The endpoint of the line fragment will be (- 1, 4) and (2, 0). Then the right choices are B and E.

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It will take 4 workers 3 days to complete the task.

To solve this problem, we can use the concept of worker-time equivalence. The total amount of work required to complete the task remains constant, regardless of the number of workers involved.

Let's denote the time it takes for 4 workers to complete the task as "t" (in days). We know that 6 workers can complete the same task in 2 days.

Using the worker-time equivalence principle, we can set up the following equation:

6 workers × 2 days = 4 workers × t days

Simplifying this equation, we have:

12 = 4t

Dividing both sides by 4, we get:

t = 12/4

t = 3

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Answer: Two parallel lines have the same slope. Therefore, we can use the slope of the given line y = -4x + 5 to find the slope of the line that is parallel to it.

The slope of y = -4x + 5 is -4. Therefore, the slope of any line parallel to it will also be -4.

Now we have the slope of the line and a point that it passes through. We can use point-slope form to write the equation of the line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point on the line.

Plugging in the values we know, we get:

y - (-1) = -4(x - (-2))

y + 1 = -4(x + 2)

y + 1 = -4x - 8

y = -4x - 9

Therefore, the equation of the line that is parallel to y = -4x + 5 and passes through the point (-2,-1) is y = -4x - 9.

Step-by-step explanation: