The table shows the relationship between the number of Calories Jacob burns while roller skating and the number of minutes he roller skates,
Minutes Calories Burned
40
200
80
400
120
600
160
800
How many calories will Jacob burn in 1 minute while roller-skating? Enter the answer in the box.​

While the measurement of the individual angles in a triangle can vary depending on the size and shape of the triangle, their sum is always 180 degrees.

This fundamental concept is known as the Triangle Sum Theorem and is true for all types of triangles, including equilateral, isosceles, and scalene. This theorem is essential in geometry and plays a significant role in solving various mathematical problems related to triangles. By knowing the sum of the angles, it is possible to calculate the measurement of one missing angle if the other two are known. Additionally, it helps in proving congruence and similarity of triangles and finding various geometric properties of triangles.

While the measurement of the individual angles in a triangle can vary, their sum is always constant. This constant sum is 180 degrees. This principle is known as the Triangle Sum Property, which states that the three interior angles of any triangle will always add up to 180 degrees, regardless of the triangle's shape or size. To find the sum of the angles, you simply add the three angle measures together. For example, if a triangle has angles of 60, 70, and 50 degrees, the sum would be 60 + 70 + 50 = 180 degrees. This property holds true for all triangles, ensuring that their interior angles always have a constant sum.

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Answer:

let common ratio between them be x

So, 5x,3x

5x-3x=18

2x=18

2x/2=18/2

x=9

Step-by-step explanation:

I hope it helps you☺️

If yes, do mark my answer as brainliest

Answer:

A is your answer

Step-by-step explanation:

width= 9 cm

length= 5 cm

height= 20cm

formula: 2(lw+lh+hw)

2(5*9+ 5*20+ 20*9)

2(45+ 100+ 180)

2(325)= 650 cm

(a) The total time spent on the trip is 3.2 hours, the time spent driving at a constant speed of 95.5 km/h is given by time = distance / speed = d / 95.5 km/h.

The time spent at the rest stop is given by time = 28 minutes / 60 minutes/hour = 0.47 hours

The total time spent on the trip is then time = d / 95.5 + 0.47 = 3.2 hours

(b) The person travels 219 km. The distance traveled at a constant speed of 95.5 km/h is given by distance = speed * time = 95.5 km/h * 3.2 hours = 219 km

The average speed of the person is 68.6 km/h. This means that if the person traveled at a constant speed for the entire trip, they would have taken 219 km / 68.6 km/h = 3.2 hours.

The rest stop increased the total time of the trip by 0.47 hours. This means that the person was actually traveling for 3.2 - 0.47 = 2.73 hours.

The distance traveled at a constant speed of 95.5 km/h for 2.73 hours is 95.5 km/h * 2.73 hours = 219 km. Therefore, the person traveled 219 km on their trip.

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Answer:

-3y/x^2

Step-by-step explanation:

-5/15 = -3

When dividing variables with powers, subtract the powers.

x^2 - x^4 = x^-2

y^3 - y^2 = y

z^4 - z^4 = 0

therefore we have -3 x^-2 y

Since we can't have negative powers, divide (move the x^-2 to the bottom and make positive)

-3y / x^2

Hope this helps! Let me know if I am wrong ^w^

Answer:

- y/3x^2

Step-by-step explanation:

The negative sign goes between y and 3x^2

Answer:

a. 7.2

Step-by-step explanation:

CAH (cos = adj/hyp)

cos53 = b/12; cross multiply

cos53*12 = 7.2

Answer:

Step-by-step explanation:

The size of the image is 2 m.

Magnification is the process of enlarging the apparent size, not physical size, of something. This enlargement is quantified by a calculated number also called "magnification".

Magnification is defined as the ratio of the height of image to the height of object.

Given that, the magnification of a body of size 1 m is 2.

Here, m=2=h₁/h₀=hi/1

hi=2×1 m

hi=2 m

Therefore, the size of the image is 2 m.

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Answer:

Step-by-step explanation:

5

The slope would be 5, so as a fraction for rise over run, it would be 5/1. (Up 5 over one)

Solution

We can create the solution with the following tree diagram:

Part 2

For this case we want this probability:

P(rain and accident)

And we can do this operation:

P(rain and accident) = 0.75 *0.5 = 0.375

Part 3

For this case we want this probability:

P( no rain and accident)

And we can do this operation:

P(no rain and accident) = 0.25 *0.25 = 0.0625

Part 4

P(Accident) = 0.5*0.75 + 0.25*0.25= 0.4375

The probability that at most three bottles will be sold on a randomly selected day is about is 0.569

The probability of an event is a number that indicates how likely the event is to occur.

Given that, the number x of bottles of garden plant fungicide sold by a garden center each day was recorded, we need to find the probability that at most three bottles will be sold on a randomly selected day is about,

The possible values of x is 0, 1, 2, 3, 4, 5, 6 and 7

The probability that at most three bottles will be sold on the randomly selected day will be =

P(x≤3) = P(X=0) + P(X=1) + P(X=2) + P(X=3)

= 0.135 + 0.141 + 0.150 + 0.143

= 0.569

Hence, the probability that at most three bottles will be sold on a randomly selected day is about is 0.569

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Answer:

  A)  7/5

Step-by-step explanation:

An exponential equation like this can be solved by using logarithms, or by rewriting the bases so they are the same.

  3^(2h-1) = 27^(-h+2)

Using 27 = 3^3, we can write the equation in terms of powers of 3:

  3^(2h-1) = (3^3)^(-h+2)

  3^(2h -1) = 3^(-3h +6)

Equating exponents gives ...

  2h -1 = -3h +6

  5h = 7 . . . . . . . . . add 1+3h

  h = 7/5 . . . . . . . divide by 5

__

Additional comment

When solving this using a graphing calculator, it is often convenient to write the equation in such a way that the solution is an x-intercept. Here, we can do that by subtracting the right-side expression from both sides:

  3^(2h-1) -27^(-h+2) = 0

The solution is h = 1.4 = 7/5.

Answer:

h=7/5

hope this helps!

The measure of angle A, B, C are 60°,60°,60°

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.

The sum of angle in a polygon is 180°. i.e

A+B + C = 180°

therefore we can say that;

2x+2x + 3x-30 = 180

7x -30 = 180

7x = 180+30

7x = 210

divide both sides by 7

x = 210/7 = 30

therefore ;

angle A = 2× 30 = 60°

angle B = 2×30 = 60°

angle C = 3×30-30 = 90-30 = 60°

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Answer:

12 / (-15) goes in the first box.

12 / 15 goes into the second box

15 / -12 goes into the third box

and 15 / 12 goes into the fourth box

Step-by-step explanation:

Answer:

if im not mistaken the order should go

1.15/12

2.12/(-15)

3.12/15

4.15/(-12)

Step-by-step explanation:

if wrong or i made a mistake please tell me :)

The measure of the height of the triangle measured by Manuel is given as follows:

5 feet.

The height of a triangle is the perpendicular distance from the base to the vertex opposite the base, and is used to calculate the area of the triangle.

Hence, the height is measured as the distance from the top vertex of the triangle to it's base.

In this problem, it is stated that:

"Manuel measured the distance from the top vertex of the triangle shown to its base".

He found the distance to be of 5 ft, hence the height of the triangle is of:

5 ft.

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If x represents Jane's speed along the summit then her total exploration time is

Solving the above equation as

Thus, we get Janes's speed as 30 mph.

The fraction of time in the long run that the poker player has good luck is 0.8 or 80%.

Let's use the law of total probability to calculate the fraction of time in the long run that the poker player has good luck.

Let G denote the event that the poker player has good luck, and B denote the event that she has bad luck. Then we have:

P(G) = P(G|G)P(G) + P(G|B)P(B)

From the problem statement, we know that if the poker player has good luck one time, then she has good luck the next time with probability 0.5, which means P(G|G) = 0.5. Similarly, if she has bad luck one time, then she has good luck the next time with probability 0.4, which means P(G|B) = 0.4.

We don't know the value of P(G) yet, but we can use the fact that P(G) + P(B) = 1. So we can write:

P(G) = P(G|G)P(G) + P(G|B)(1 - P(G))

Substituting the values we know, we get:

P(G) = 0.5P(G) + 0.4(1 - P(G))

Simplifying and solving for P(G), we get:

P(G) = 0.8

Therefore, the fraction of time in the long run that the poker player has good luck is 0.8 or 80%.

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Answer:

D.

Step-by-step explanation:

If she connects it to any other point the angle would be more then 30 degrees.

The estimated value of the explanatory variable is not statistically significant at the 5%-level if a. the t-statistic is greater than 2.5.

The t-test is a hypothesis testing technique used to decide whether the estimated coefficient of a linear regression model is statistically significant or not. The t-value is used to measure the size of the difference between the estimated coefficient and the hypothesized value. When the t-value exceeds a critical value, such as 2.5, the estimated value of the explanatory variable is not significant at the 5%-level. It implies that the null hypothesis, which assumes that the explanatory variable's coefficient is zero, cannot be rejected.

The p-value is a measure of the probability of obtaining a more extreme value of the test statistic than the observed value if the null hypothesis is true. A small p-value implies that the null hypothesis should be rejected. When the p-value is less than 0.05, it means that the estimated value of the explanatory variable is significant at the 5%-level.

The confidence interval is a range of values that is expected to include the true value of the population parameter with a specified level of confidence. A 95% confidence interval means that the true value of the population parameter lies within the range 95% of the time. The 95% confidence interval does not contain zero implies that the estimated value of the explanatory variable is statistically significant at the 5%-level since it suggests that the population parameter is different from zero at the 5%-level. Conversely, if the 95% confidence interval contains zero, the estimated value of the explanatory variable is not statistically significant at the 5%-level since it means that the population parameter is not different from zero at the 5%-level. Therefore, it is essential to examine the t-statistic, p-value, and confidence interval while conducting hypothesis testing to make an informed decision.

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Answer:

736.05

Step-by-step explanation:699.00 x 5.3%=37.047

699.00 + 37.05 = 736.05

Answer:

$37.05

Step-by-step explanation:

$699 × 5.3%

We must convert 5.3% into just a decimal (not a percentage)

To do so, move the decimal to the left two places.

This would be 0.053

699 × 0.053 = 37.047

Although the exact number is 37.047, money is only paid within two decimals places, so let's round up to the nearest hundredth place

37.047 rounds up to 37.05

$37.05 is how much tax will be paid on the TV

Answer:

LM

Step-by-step explanation:

Usually these problems would already be in order, so since PQ are the first 2 letters of polygon PQRS, then for LMNO, it's LM.

The car move down on its spring suspension by the length of  0.0001501 m.

Acceleration due to gravity g = 9.81 m/s²

Spring constant k = 2.8×10⁷N/m.

Compression of spring x.

Force (F) = mg

Mass of the car is ;

m = 80 x 30

m = 2400 kg

Mass supported by the each spring,

m = 2400/8 = 300 kg

Put the value in force of spring;

F = kx

x = F/k = mg/k

x = (300 x 9.81)/ 2.8×10⁷

x =  0.0001501 m

Thus, the car move down on its spring suspension by the length of  0.0001501 m.

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The complete question is-

A passenger railroad car has a total of 8 wheels. Springs on each wheel compress--slightly--when the car is loaded. Ratings for the car give stiffness per wheel (the spring constant, treating the entire spring assembly as a single spring) as 2.8×10⁷N/m.

When 30 passengers, each with average mass of 80 kg, board the car, how much does the car move down on its spring suspension? Assume that each wheel supports 1/8 the weight of the car.

Answer: see explanation below

Step-by-step explanation:

A rational number terminates.

9.6 terminates at six-tenths.

The bus 2 will pass bus 1 at 12.30 pm, when both are at 360 miles.

The bus 1 starts half hour earlier than bus 2. But since bus 2 is faster, it will overtake at some point. At 8 am, bus 1 will start. By the time 8.30, it will cover a distance of 40 miles.

Bus 2 starts at 8.30, So it will be at 0 miles.

By 10, the bus 1 will be at 160 miles, bus 2 at 135 miles

By 10.30, the bus 1 will be at 200 miles, bus 2 at 180 miles.

By 11.30, bus 1 will be at 280 miles, bus 2 will be at 270 miles

By 12.30, bus 1 will be at 360 miles, bus 2 will be at 360 miles.

So at the 360 the, the both the buses passes each other.

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The car's speed after the given amout of time is 19.8 m/s²

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates. Any alteration in an object's velocity could take the form of a change in direction of motion or a speed increase or reduction. The moon orbiting the earth, an apple falling to the ground, and a car stopped at a stop sign are a few instances of acceleration.

Average Acceleration =Change in Velocity/ Time Taken

So Change in Velocity is 10-x m/s

Time taken is 7.25 s

Given accelaration 4.11 m/s²

Putting the values we get,

4.11 = (10-x)/7.25

⇒29.8 = 10-x

⇒x=19.8 m/s²

​

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Answer:

D

Step-by-step explanation:

The expression for finding the area of the given parallelogram is A = 14h.

In geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Given that, the length of the base of a parallelogram is 14 centimeters, and the corresponding height is ‘h’ centimeters.

We need to find the expression which gives the area of the parallelogram,

Since, we know that the area of the parallelogram is the product of the its height and the base length,

Area = height x base

Area = 14h

Hence, the expression for finding the area of the given parallelogram is A = 14h.

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The weight of Mr. Jones of 85 Kg weight in household measures is 187 lb 6.8 oz.

Here household measures of the mass of any objects refers to the measurement in the unit Pounds (lb) and Ounces (oz).

We know that 1 Kg = 2 lb 3.28 oz

Here given that the weight of Mr. Jones is given by = 85 kgs

85 Kg = 85 * (2 lb 3.28 oz) = (2 * 85) lb (3.28 * 85) oz = 170 lb 278.8 oz

we also know that 16 ounces (oz) = 1 pound (lb)

272 oz = 17 lb

So, 85 Kg = 170 lb 278.8 oz = 170 lb + 17 lb + 6.8 oz = 187 lb 6.8 oz.

Hence the weight of Mr. Jones in household measures is 187 lb 6.8 oz.

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Answer:

12.5 units^2

Step-by-step explanation:

The shape is a trapezoid

The area of a trapezoid is given by

A = 1/2 ( b1+b2)h  where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 2.5+ 7.5) 2.5

A = 1/2 ( 10)2.5

A = 12.5 units^2

Answer:

12.5 units^2

Step-by-step explanation: Big Brain