jogging burns 375 calories in 45 minutes. determine how many calories are burned per hour

Answer:

the answer is B thats wat equals to g(x)

Answer:

2x or h(x)

Step-by-step explanation:

Answer:

geometric with r = 2

Step-by-step explanation:

An arithmetic sequence has a common difference between consecutive terms

6 - 3 = 3

12 - 6 = 6

24 - 12 = 12

48 - 24 = 24

96 - 48 = 48

As we see the differences are not common, so not arithmetic

A geometric sequence has a common ratio between consecutive terms.

6 ÷ 3 = 2

12 ÷ 6 = 2

24 ÷ 12 = 2

48 ÷ 24 = 2

96 ÷ 48 = 2

There is a common ratio of 2, so sequence is geometric

with 5th term = 48

Answer:

Lon choose A, because he forgot to add the parenthesis when he subtracted.

Step-by-step explanation:

For the first question:

-8.3 - (-5.4)

This is -8.3 minus negative 5.4

The two negatives equal a positive, so he should have replaced them with a + sign:

-8.3 + 5.4

Instead, he subtracted 5.4 from -8.3 and got A.

For the second question, find a common denominator so that you can add the fractions together. 8 and 3 both fit into 24, so use that as your denominator. To get from the denominator 8 to the denominator 24, you multiply by 3. So multiply the numerator (7) by 3 as well. So that fraction becomes 21/24

To get from denominator 3 to 24, you multiply by 8. So do the same thing to the top. You then have 16/24. The change in the amount of water is 16/24 cups. That can be simplified to 2/3

The finance charge on Rachel's loan if she takes all 36 months to pay it off is $1730.16.

The amount of personal loan = $4500

Monthly payment =$173

Loan tenure = 36 months

The total amount that Rachel will pay for 36 months = 36*173.06

The total amount that Rachel will pay for 36 months = $6230.16

A finance charge refers to any cost related to borrowing money, obtaining credit, or paying off loan obligations.

The finance charge on Rachel's loan if she takes all 36 months to pay it off  = The total amount that Rachel will pay till 36 months - Amount of personal loan

The finance charge on Rachel's loan = 6230.16-4500 = $1730.16

Therefore, The finance charge on Rachel's loan if she takes all 36 months to pay it off is $1730.16.

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The absolute minimum value is -18 at the point (7, 0), and the absolute maximum value is 35 at the point (7, 9) within the given triangular region

To find the absolute minimum and absolute maximum of the function f(x, y) = 10 - 4x + 7y on the closed triangular region with vertices (0, 0), (7, 0), and (7, 9), we need to evaluate the function at the critical points inside the region and at the boundary points.

Critical points:

To find the critical points, we need to find the points where the gradient of f(x, y) is equal to zero.

∇f(x, y) = (-4, 7)

Setting -4 = 0 and 7 = 0, we see that there are no critical points in the interior of the triangular region.

Boundary points:

We need to evaluate the function f(x, y) at the vertices of the triangular region.

(a) f(0, 0) = 10 - 4(0) + 7(0) = 10

(b) f(7, 0) = 10 - 4(7) + 7(0) = -18

(c) f(7, 9) = 10 - 4(7) + 7(9) = 35

Therefore, the absolute minimum value is -18 at the point (7, 0), and the absolute maximum value is 35 at the point (7, 9) within the given triangular region.

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Answer:

The answer would be -2 1/6

Step-by-step explanation:

The arrow goes to the left side because it is negative. -1/3 would be equal to -2/6. -5/6 + -1/6 + -1/6 = -1 1/6. Add the 1 and you get -2 1/6!

Hope this helped ^^

tan(pi /4-×)=(tan45-tanx)/1+tan45.tanx

=(1-tanx)/1+tanx

Answer:

D.

Step-by-step explanation:

10 - 2 - 4 - 2 - 1 since he went to dump all those so you have to subtract them from the original amount.

Answer:

Step-by-step explanation:

b/(2 - g) = T

(2 - g)(b/(2-g) = T)

b = T(2 - g)

The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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Answer: 200

Step-by-step explanation:

1 Canadian dollar  buys 82c in US

1 dollar = 100c

=> 100 c  Canadian  =    82c in US

=> 100 Canadian dollar  buys 82 dollar  in US

Canadian dollar required to buy 82 dollar  in US    = 100

=> Canadian dollar required to buy 1 dollar  in US    = 100/82

=> Canadian dollar required to buy 164 dollar  in US  = 164 x 100/ 82

= 2  x 100

= 200 $

cost 200 in Canadian dollars   to buy a Walkman advertised for $164.00 in the USA

We have the slopes m_1 = 5 and m_2 = 5. so we can say that Both equations y=5x+1 & 2y-10x+3 are parallel to each other.

Given equations are:

y=5x+1

2y-10x+3=0

We need to check whether both equations are parallel or not.

To check whether both equations are parallel or not, we have to observe the slope of each equation. Because, if the slope of both equations is equal, then both equations are parallel. The slope-intercept form of the line:

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

So, the slope of the equation

y = 5x + 1 is:

y = 5x + 1... (1) => m_1 = 5and the slope of equation

2y - 10x + 3 = 0 is:

2y - 10x + 3 = 0... (2)

Solve equation (2) for y:

2y - 10x + 3 = 02y

= 10x - 3y = 5x - 3/2... (3)

=> m_2 = 5

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Answer:

Height of the greater triangle is 7.5 cm (Approximately).

Step-by-step explanation:

Given that

The ratio of two triangles with common base = 4:5

Let they be 4x cm² and 5x cm²

The area of the bigger triangle = 5x cm²

The area of the smaller triangle = 4x cm²

also,

Given that

The base of two triangles are same

Let the base of the two triangles be b cm

Height of the smaller triangle = 6 cm

Now,

Area of the triangle = (1/2)×base×height sq.units

⇛Area of the smaller triangle

⇛(1/2)×b×6 = 4

⇛6b/2 = 4

⇛3×b = 4

⇛b= 4/3 cm

.°. b = 4/3 cm

Now,

The length of the base = 4/3 cm

Area of the greater triangle = 5 cm²

⇛(1/2)×(4/3)×h = 5

⇛(4/6)×h = 5

⇛(2/3)×h = 5

⇛h = 5/(2/3)

= 5×3/2

= 15/2

⇛h = 7.5 cm (Approximately)

Answer: Therefore, Height of the greater triangle is 7.5 cm.

Please let me know if you have any other questions.

Answer:

Surface Area is the space occupied by a two-dimensional flat surface is called the area.

Total surface area is the area including the base(s) and curved part(s).

Calculating Surface Area:

To find the surface area of a shape, we need to find the measurement (in this case, centimeters) of each face/side and add them together.

Volume:

The amount of space an object/3D shape occupies. (Ex: A circle does not have volume, a sphere, however, does.)

Calculating Volume:

Volume = the length times the width times the height. (Volume = length x width x height)

Answer:

Each cm cube has a surface area of 6cm, and it makes 100 mm cubes that have a 6mm surface area each.

Analysts use financial ratios rather than absolute numbers because ratios provide a more meaningful and comparative assessment of a company's financial performance.

Ratios allow for a standardized comparison between companies of different sizes and industries, facilitating a better understanding of their financial health, operational efficiency, and profitability.

Furthermore, ratios enable analysts to evaluate a company's performance over time and benchmark it against industry averages and competitors. Some examples of commonly used financial ratios include the current ratio, return on equity (ROE), and earnings per share (EPS).

Current Ratio: The current ratio measures a company's ability to meet its short-term obligations. It is calculated by dividing current assets by current liabilities. For example, if a company has current assets of $500,000 and current liabilities of $250,000, the current ratio would be 2 ($500,000 / $250,000). A higher current ratio indicates a stronger liquidity position, suggesting the company is better equipped to meet its short-term financial obligations.

Return on Equity (ROE): ROE measures a company's profitability relative to its shareholders' equity. It is calculated by dividing net income by average shareholders' equity and multiplying by 100 to express it as a percentage. For instance, if a company has a net income of $1 million and average shareholders' equity of $10 million, the ROE would be 10% ($1 million / $10 million * 100). A higher ROE signifies better profitability and efficient utilization of shareholders' capital.

Earnings per Share (EPS): EPS indicates the profitability of a company on a per-share basis. It is calculated by dividing net income attributable to common shareholders by the weighted average number of outstanding shares. For example, if a company has a net income of $5 million and 10 million weighted average shares outstanding, the EPS would be $0.50 ($5 million / 10 million). A higher EPS implies higher profitability for each share held by investors.

Financial ratios provide valuable insights into a company's financial performance and facilitate better comparisons and analysis. Absolute numbers alone may not convey the same level of meaningful information or allow for easy comparisons between companies. Ratios allow analysts to assess a company's financial health, profitability, liquidity, efficiency, and other key aspects relative to industry peers and historical performance.

They help identify trends, strengths, weaknesses, and potential investment opportunities or risks. While absolute numbers provide essential context, ratios offer a standardized framework for evaluation and decision-making, making them a preferred tool for financial analysis.

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Answer:

the question is not complete

Answer:

D

Step-by-step explanation:

4C1*5C1*6C1*8C1

=960

Answer:

The planet's speed is 18,950,000 km per 940 days

which equals

20,159.5744680851 kilometers per day

Dividing that by 24 gives us the planetary speed in km / hour which is

839.982269503546 kilometers per hour.

I have no idea what 3sf means so I can't answer that.

Step-by-step explanation:

Answer: -2(x+5)

Step-by-step explanation:

The system of linear inequalities to model the situation is 10x + 20y ≤ 100 and y > 2x

From the question, we have the following parameters that can be used in our computation:

Using the following representations:

We have the following system of inequalities from the given statements

10x + 20y ≤ 100

y > 2x

Hence, the system of inequalities is 10x + 20y ≤ 100 and y > 2x

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Answer:

A

Step-by-step explanation:

It just is

Below are some authorial techniques that can be used to create mystery, tension, or surprise in literature.

Order of events: The order in which events are presented can create a sense of mystery or suspense.

Pacing: The pace of a story can also be used to create suspense. A slow-paced story can build tension by allowing the reader to dwell on the details of a situation, while a fast-paced story can create excitement and surprise by keeping the reader guessing what will happen next.

Structure: The structure of a story can also be used to create mystery, tension, or surprise. For example, a story that is told in flashback can create a sense of mystery by revealing information about the past that is relevant to the present.

Time manipulation: The manipulation of time can also be used to create suspense.

Language: The language that an author uses can also be used to create mystery, tension, or surprise. For example, an author might use vague or ambiguous language to create a sense of mystery, or use strong language to create a sense of tension or surprise.

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Answer:

Josephine

Step-by-step explanation:

2 criteria was given to pass an exam:

1. At least, a mean mark of 40% must be achieved in the exam consisting of 4 papers

2. Score at least, 33% in each paper.

From the table given, and considering these two criteria, James definitely didn't pass the examination. He scored below 33% in one of the 4 papers. James scored 30% in Maths

Calculated the mean score for John and Josephine to determine if they meet the first criteria of having at least a mean score of 40%.

Mean score of John = (35 + 36 + 42 + 44) ÷ 4 = 39.25%

Mean score for Josephine = (60 + 55 + 38 + 75) ÷ 4 = 57%

Josephine passed the examination because she had a mean score of 57%, and also scored 33% and above in each test.

The solution of the differential equation dy/dx = x/y with the given initial condition y(0) = -2 is found to be y = √(x²+4).

The differential equation that we have to solve is given to be, dy/dx = x/y.

Now, the initial condition is y(0) = -2, it means on putting x = 0 in the final answer we get y = -2. So,

dy/dx = x/y

ydy = xdx

Now, integrating both sides of the equation, ydy = xdx,

∫ydy = ∫xdx

y²/2 = x²/2 + C

y = √(x²+2C)

C is the constant of integration, Putting x = 0,

-2 = √2C

Squaring both sides,

4 = 2C

C = 2, now putting the value of C in the solution,

y = √(x²+2(2))

So, the final solution of the differential equation is y = √(x²+4).

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Complete question - Find the solution of the differential equation that satisfies the given initial condition.

dy/dx = x/y, y(0) = -2.

The derivative of f(x) = arccos(x^2) is: f'(x) = -2x / √(1-x^4)

The derivative of f(x) = arccos(x^2), we'll use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. In this case, the outer function is arccos(u) and the inner function is u = x^2.

First, let's find the derivative of the outer function, arccos(u). The derivative of arccos(u) is -1/√(1-u^2). Next, we'll find the derivative of the inner function, x^2. The derivative of x^2 is 2x.

Now we'll apply the chain rule. We have:

f'(x) = (derivative of outer function) * (derivative of inner function)

f'(x) = (-1/√(1-u^2)) * (2x)

Since u = x^2, we'll substitute that back into our equation:

f'(x) = (-1/√(1-x^4)) * (2x)

So, the derivative of f(x) = arccos(x^2) is:

f'(x) = -2x / √(1-x^4)

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Answer:

Negative

Step-by-step explanation:

If both are negative, they can't grow when you add them. If I owe someone 3 dollars, then I owe them 3 more, I don't owe them 0, I owe them 6. The equation would be My amount of money-3-3