What’s the answer to this

Answer:

2156000 J.

Bonus: 2 snickers bar

Step-by-step explanation:

Applying

P.E = mgh................. Equation 1

Where P.E = Gravitational potential energy, m = mass of the person, h = height of the mountain, g = acceleration due to gravity.

From the question,

Given: m = 55 kg, h = 4000 m

Constant: g = 9.8 m/s²

Substitute these values into equation 1

P.E = (55×4000×9.8)

P.E = 2156000 J.

If one snikers bar is 1100000 J of energy,

Then, (2156000/1100000) snickers bar would be enough to climb the mountain

Number of snickers bar =  (2156000/1100000)  = 1.96 ≈ 2

Answer:

No, because sides JM and KL have different slopes from sides AD and BC.

Step-by-step explanation:

Quadrilateral ABCD is dilated by 2 to form Quadrilateral JKLM. Then the correct option is A.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

On a coordinate plane, 2 quadrilaterals are shown.

Quadrilateral ABCD has points (2, -2), (4, -2), (3, -4), and (1, -4).

Quadrilateral JKLM has points (4, -4), (8, -4), (6, -9), and (2, -9).

The quadrilaterals are shown below.

Yes, because sides JK and ML are twice as long as sides AB and DC.

The scale factor will be 2.

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

#SPJ2

Answer: 1, 3, 7, 21

Step-by-step explanation:

21 divides by n has 0 remaining.

21/1 = 21

21/3 = 7

Otherwise, 21 can't divide by 2,4,5,6

So, n = 1, 3, 7, 21

Hello

Step-by-step explanation:

hello I'm Filipino people

inital weight = 50 kg

Final weight = 41 kg

loss = 50 - 41 = 9 kg

None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

for such more question on perpendicular

https://brainly.com/question/18991632

#SPJ8

Answer:

Step-by-step explanation:

Let the total number of beads in the box be x.

Then, the number of red beads in the box is 20% of x = 0.2x.

After increasing the number of red beads by 5%, the number of red beads becomes 1.05 times the original number of red beads, which is 1.05(0.2x) = 0.21x.

The total number of orange and white beads is (100% - 20%) = 80% of x, which is 0.8x.

After increasing the number of orange and white beads by half, the total number becomes 1.5 times the original number, which is 1.5(0.8x) = 1.2x.

So, we have the equation: 0.21x = 0.2x + 123 - 1.2x

Simplifying this equation, we get:

0.01x = 123

x = 12,300

Therefore, the box originally contained 12,300 beads.

The calculated volume of the prism is 702 cubic cm

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

Read more about volume at

brainly.com/question/463363

#SPJ1

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

for more such questions on sampling method

https://brainly.com/question/13219833

#SPJ8

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

For more such questions on Adjacent numbers:

https://brainly.com/question/28207765

#SPJ8

The product rule for variables consist, first, in determining when your product

is between the same variable or not.

If for example you have the following product:

x*y

Here, you only write each variable, just as follow:

x*y = xy

If the product is between the same variables you take into account that you have to sum the powers of the implied variables. If for example you have the following product:

x²*x³

You sum the powers, just as follow:

x²*x³ = x⁵

For the case of number, for two different numbers you simply multiply the implied numbers, as for example:

5*10 = 100

If the number are equals with different powers you proceed the same as the variable case:

5²5³ = 5⁵

Determine the cost in Massachusetts

2000 * 6.25%

2000*.0625

125

The tax is 125 dollars

Total cost is

2000+125 = 2125

Cost in Maine

2000 * 5% + 30 gas

2000 *.05

100

The tax is 100 plus the 30 dollars in gas

Total cost is

2000 + 100+30

2130

It will cost more to go to Maine than to buy it in Mas

Dave is correct, buy it in Mass.

Answer: 10/40 or 1/4

Step-by-step explanation:

Add up all the amount of rolls, so 10+6+4+8+6+6=40

then add the probability of rolling a 3 or 6 = 10

divide that quantity out of the whole

answer is 10/40 and simplified is 1/4

hope it helps

Answer:

To one decimal place,

y = 16.3 m

Step-by-step explanation:

Using SOHCAHTOA,

In this case we need to use CAH,

WE know the angle = 25 and the hypotenuse H = 18,

so,

y = adjacent

\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)

Answer: 16.3 in.

Step-by-step explanation:

use SOH CAH TOA

cos x = adj/hyp

cos 25  = y/18

18 cos 25  = y

y= 16.3

(a) 41.6m/sec is the average rate of change for the distance driven from zero seconds to four seconds.

(b) 16.7 m/sec is the average rate of change for the distance driven from six seconds to ten seconds.

Given,

In the question:

Amy is driving a racecar. The table below gives the distance D (t) (in meters) she has driven at a few times t (in seconds) after she starts.

To see the table in the figure.

Now, According to the question:

(a) To find the average rate of change for the distance driven from zero seconds to four seconds.

According to the table we can get t(0 ~ 4 seconds) the average rate

\(V_{a}\) = 166.4 ÷ 4

     = 41.6 m/sec

(b) To find the average rate of change for the distance driven from six seconds to ten seconds.

\(V_{b}\) = (239.6 - 172.8) ÷ (10 - 6)

\(V_{b}\) = 66.8 ÷ 4

\(V_{b}\) = 16.7 meters per seconds.

Speed is equal to distance divided by time .

Hence, (a) 41.6m/sec is the average rate of change for the distance driven from zero seconds to four seconds.

(b) 16.7 m/sec is the average rate of change for the distance driven from six seconds to ten seconds.

Learn more about Average Rate at:

https://brainly.com/question/23715190

#SPJ1

Answer:  B

Step-by-step explanation:

In order to find out if the functions are continuous at 0, you must plug in 0 into both of the piecewise equations.  If the answers are the same then they are continuous at 0 if they are different then it is not continuous.

e× + 1

e⁰ + 1

1 +1

2

2 + sin x

2 + sin 0

2 + 0

2

Since the first part equation =2 when x=0 and the second part equation =0 when x=0, the functions would be continuous because they are the same.   But because there is no ≤ or ≥ there is no value for x=0.  It's been removed.

Your answer is B

Answer:  Choice B

The function f is continuous on  \((-\infty,0) \cup (0,\infty)\)

There is a removable discontinuity at x = 0.

====================================================

Explanation:

Let

\(g(\text{x}) = e^{\text{x}}+1\\h(\text{x}) = 2+\sin({\text{x}})\\\)

The f(x) function changes its identity based on what the input x would be.

If x < 0, then f(x) = g(x)

If x > 0, then f(x) = h(x)

Plug x = 0 into g(x)

\(g(\text{x}) = e^{\text{x}}+1\\g(0) = e^{0}+1\\g(0) = 1+1\\g(0) = 2\\\)

Do the same for h(x)

\(h(\text{x}) = 2+\sin({\text{x}})\\h(0) = 2+\sin(0)\\h(0) = 2+0\\h(0) = 2\\\)

Both functions produce the same output (2) when x = 0. Therefore, the two pieces are connected. Both pieces approach y = 2 when x gets closer and closer to zero. But we'll have an open hole at x = 0 since neither piece is defined when x = 0. This makes f(0) undefined. We have a removable discontinuity at x = 0. This is in contrast to a jump discontinuity where the two pieces do not approach the same y value.

To express this in interval notation, start with the set of real numbers \((-\infty,\infty)\) and poke a hole at x = 0 to remove it.

We'll end up with \((-\infty,0) \cup (0,\infty)\) as the domain and where f(x) is continuous.

Refer to the graph below.

Answer:

Explanation:

Let the number of lines in Robert's poem = x

We are told that: Robert’s poems have a minimum of 3 lines.

This means that the number of lines can either be:

• exactly 3.

• or greater than 3.

An inequality to represent this is:

Similarly, the second statement: Robert’s poems have a maximum of 16 lines.

This means that the number of lines can either be:

• exactly 16.

• or less than 16.

An inequality to represent this is:

The two inequalities are:

Next, to determine how many lines might one of Robert’s poems have, combine the two inequalities.

Robert's pow

Answer: 119

Step-by-step explanation:

We know that we must find the least common multiple of 15 and 27 in order to solve the problem because when we are finding remainders that are the same, there must be some relationship between the integer and the two dividing numbers.

Thus, we have the least common multiple 135 and its multiples which will all have a 0 remainder when divided by 15 and by 27.

We can take each of the numbers (7) and the 15 consecutive numbers after each of them, because of modulo becoming the same after 15. If we take the total of all these numbers, which will have the same remainder after division by 15 and 27, we are left with:

15 * 8 - 1 = 119

Answer:

10 cups

Step-by-step explanation:

6 divided by 4 is 1.5 and if you take 15 divided by 1.5 it'd be 10

Answer:

10 cups of sugar

Step-by-step explanation:

you can easily make it into a ratio.... ( the amountof sugar needed to make 15 batches of cookies is x)

x/15 = 4/6

when you multiply you get 6x = 4 × 15

6x = 60, then you divide by 6

giving you x=10

Answer: y= 3x+22

70=3x+22

70-22=3x

58=3x

58/3=x

19.33

He needs to buy at least 19 GB

Step-by-step explanation:

Answer:

111.3 cubic inches

Step-by-step explanation:

The dimensions of the rectangular prism are 5.9 x 3.4 x 5.1

volume = length x width x height

V = 5.9 x 3.4 x 5.3

V = 102.306

The dimesnsions of the triangular prism are 3.4 x 5.9 x ?

to find the missing length, 6 - 5.1 = 0.9

3.4 x 5.9 x 0.9

Volume = (3.4 x 5.9 x 0.9)/2

V = 18.054/2

V = 9.027

Add the volumes together

102.306 + 9.027 = 111.333

Round

111.3

Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

For more such questions on income

https://brainly.com/question/28414951

#SPJ8

The solution is the point (0, 1/6) y = 1/6

Given the equation y = (-3/4)x + 1/6, which represents a linear equation, there is no "system" of equations involved since there is only one equation.

In this case, the equation is in slope-intercept form (y = mx + b),

where m represents the slope (-3/4) and b represents the y-intercept (1/6).

The slope-intercept form allows us to determine various properties of the equation.

Since there is only one equation, the solution to this equation is a single point on the Cartesian plane.

Each pair of x and y values that satisfy the equation represents a solution.

For example, if we choose x = 0, we can substitute it into the equation to find the corresponding y value:

y = (-3/4)(0) + 1/6

y = 1/6

Therefore, the solution is the point (0, 1/6).

In summary, the given equation has a unique solution, represented by a single point on the Cartesian plane.

Any value of x plugged into the equation will yield a corresponding y value, resulting in a unique point that satisfies the equation.

For similar question on linear equations.  

https://brainly.com/question/22688504

#SPJ8

Answer:

B.

Step-by-step explanation:

-6<x<6

Answer:

Let x= liters of 18% solution to be added to a 10% solution.

20-x= liters of 10% solution to be mixed with 18% solution.

..

18%(x)+10%(20-x)=15%(20)

.18x+2-.1x=3

..08x=1

x=1/.08=12.5

ans:

12.5 liters of an 18% alcohol solution must be added to a 10% alcohol solution to get 20 L of a 15% acohol solution.

I hope it's helpful!

The position of  √17 between 4 and 5, which is nearer 5, and the location of 6, which is between 2 and 3, which is nearer 2.

A visual representation of real numbers in a linear manner is a number line. It is a straight line that is divided into intervals or segments, each of which stands for a distinct real number value.

Number lines can be vertical or horizontally oriented, and they can also have a positive or negative orientation. Positive numbers often extend to the right or up, whereas negative numbers typically extend to the left or down. The origin of the number line, or zero, is typically situated in the middle of the line.

The number line is a crucial tool in mathematics since it offers a means of representing numerical relationships visually and carrying out fundamental arithmetic operations. For instance, positive and negative motions along a number line can be used to depict addition and subtraction, respectively, with positive movements denoting addition and negative movements denoting subtraction. On a number line, multiplication and division can alternatively be shown as repeated addition or subtraction.

If we have a number line with the proper markings, we may indicate where the square roots of 17 and 6 are located as follows:

To begin, determine the approximate square root values:

√17 is between 4 and 5, since 4² = 16 and 5² = 25.

√6 is between 2 and 3, since 2² = 4 and 3² = 9.

Place the number √17 closer to 5, between 4 and 5.

Place the number √6 between the numbers 2 and 3, closer to 2.

Since 6 and 17 are not integers and their values are not evenly spaced, it should be noted that their markings will not be evenly spaced on the number line.

To know more about Number Line, visit:

https://brainly.com/question/24644930

#SPJ1

Number line attached below,

It depends on the number of variables, if the inequality has one variable, then it is graphed on a number line.

The type of diagram that we need to use depends on the number of variables that we have.

That is the main reason, for example:

x > 2

Is graphed on a number line.

y > 3x + 4

is graphed on a coordinate plane.

learn more about inequalities at:

https://brainly.com/question/24372553

#SPJ1