please help math is annoying. i will mark brainliest

Please Help Math Is Annoying. I Will Mark Brainliest

Answers

Answer 1

Answer:

The value of a mathematical expression is the result of the computation described by this expression when the variables and constants in it are assigned values. The value of a function, given the value(s) assigned to its argument(s), is the quantity assumed by the function for these argument values.

hope it helps


Related Questions

Work out the perimeter of this semicircle.
Take a to be 3.142
10 cm

Answers

Answer:

perimeter=1/2*2πr

Step-by-step explanation:

1/2*2*3.142*10

=31.42

What is the law of large numbers?
If you were using the relative frequency of an event to estimate the probability of the event, would it be better to use 100 trials or 500 trials? Explain.

Answers

The Law of Large Numbers is a fundamental concept in probability theory and statistics stating the number of trials of a random event increases, the average of the outcomes approaches the expected value of the event. It's better to use 500 trials.

In other words, as we repeat an experiment a large number of times, the proportion of times that a certain outcome occurs will converge to its probability of occurrence. This is an important concept in statistical inference, as it helps to ensure that the results of a sample are representative of the population from which it was drawn.

Now, if you were using the relative frequency of an event to estimate the probability of the event, it would be better to use 500 trials rather than 100 trials. The reason is that the larger the number of trials, the more accurate the estimate of the probability is likely to be.

Using a larger sample size reduces the impact of random variation and provides a more precise estimate of the true probability. The Law of Large Numbers tells us that as the sample size increases, the relative frequency of the event should converge to the true probability, so a larger sample size will generally give a more reliable estimate

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If angle 1 and angle 2 form a linear pair and angle 1 is 18 degrees less than five times the measure of angle 2, then the angle 1 is _____ degrees

Answers

Answer:

Angle 1 is 147 degrees

Step-by-step explanation:

When two angles form a linear pair, then we have the intersection of two lines

So what this mean is that both angles lie on a straight line and the sum of both angles is 180.

Let the angle 2 be x

We are told that angle 1 is 18 degrees less than 5 times the measure of angle 2;

What we are saying here is that; angle 1 = 5x - 18

So let’s add both together to give 180

angle 1 + angle 2 = 180

x + 5x -18 = 180

6x = 180+ 18

6x = 198

x = 198/6

x = 33 degrees

But angle 1 is 5x -18 = 5(33) -18 = 165 -18 = 147 degrees

Sandy’s 8th grade math class receives $13.50 for every 5 boxes of chocolates that they sell. Which graph shows this relationship with the same unit rate?

Answers

Answer:

See Explanation

Step-by-step explanation:

The graphs are not given; however, I'll answer with the graph equation and also attach the graph...

Represent the boxes with x and the cash received with y.

When x = 5

y = 13.50

When x = 10

y = 27

First, we need to get the slope of the graph.

m = (y2 - y1)/(x2 - x1).

m = (27 - 13.5)/(10 - 5)

m = 13.5/5

m = 2.7

Next, is to determine the graph equation using

y - y1 = m(x - x1)

y - 13.5 = 2.7(x - 5)

y - 13.5 = 2.7x - 13.5

y = 2.7x - 13.5 + 13.5

y = 2.7x..

See Attachment for graph

Sandys 8th grade math class receives $13.50 for every 5 boxes of chocolates that they sell. Which graph

PLEASE HELP! it’s would be really appreciated

PLEASE HELP! its would be really appreciated

Answers

Answer:

46 degrees

Step-by-step explanation:

180 - 102 - 32 equals to 46

Which rational number is one tick mark to the left of Negative three-fourths on the number line below? A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Negative 1 and one-fourth –1 Negative StartFraction 2 Over 4 EndFraction 0

Answers

Answer:

(B) -1

Step-by-step explanation:

We want to determine the rational number which is one tick mark to the left of  \(-\dfrac{3}{4}\) .

If the number is to the left, it must be less than \(-\dfrac{3}{4}\) .

Since there are 4 equal spaces between each number, the numbers between -1 and 0 are:

\(-1,-\dfrac{3}{4},-\dfrac{2}{4},-\dfrac{1}{4},0\)

We can then see that the number one tick to the left of  \(-\dfrac{3}{4}\) is -1.

The correct option is B.

Answer:

B?????

Step-by-step explanation:

Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. theb find the region of the area. y-1/x, y=1/x^2, x=6

Answers

Area = ∫[0, 1] (upper curve - lower curve) dy

The upper curve is y - 1/x, and the lower curve is y = 1/x^2.

Area = ∫[0, 1] (y - 1/x - 1/x^2) dy

Evaluate this integral within the given limits of integration to find the area of the region.

The curves provided are:

y - 1/x

y = 1/x^2

x = 6

Let's find the points of intersection between the curves:

Setting the two equations equal to each other, we have:

1/x^2 = 1/x

To simplify the equation, we can multiply both sides by x^2:

1 = x

So the point of intersection between the curves y - 1/x and y = 1/x^2 occurs at (1, 1).

Now, let's sketch the region enclosed by the curves:

Curve y - 1/x:

The curve y - 1/x represents a hyperbola that approaches the x-axis as x approaches positive or negative infinity. It intersects the x-axis at x = 1. The curve extends towards positive and negative y-values.

Curve y = 1/x^2:

The curve y = 1/x^2 is a downward-opening hyperbola. It approaches the x-axis as x approaches positive or negative infinity. The curve has asymptotes at x = 0 and does not intersect the x-axis.

Line x = 6:

The line x = 6 is a vertical line passing through x = 6.

To determine whether to integrate with respect to x or y, we need to consider the orientation of the region. Looking at the given curves, it is clear that the region is vertically bounded. Therefore, we'll integrate with respect to y.

To find the area of the region, we need to determine the limits of integration. The region is bounded by the curves y - 1/x and y = 1/x^2, and it extends from the y-axis to the point of intersection at (1, 1). Therefore, the limits of integration for y are from 0 to 1.

Now, let's calculate the area using the definite integral:

Area = ∫[0, 1] (upper curve - lower curve) dy

The upper curve is y - 1/x, and the lower curve is y = 1/x^2.

Area = ∫[0, 1] (y - 1/x - 1/x^2) dy

Evaluate this integral within the given limits of integration to find the area of the region.

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The region enclosed by the curves y = 1/x, y = 1/\(x^2\), and x = 6 can be found by integrating with respect to x. The region lies in the first quadrant and is bounded by the curves and the line x = 6.

To sketch the region enclosed by the curves, we can start by plotting the graphs of y = 1/x and y = 1/\(x^2\). The curve y = 1/x represents a hyperbola that passes through the points (1, 1), (2, 0.5), (3, 0.33), and so on. The curve y = 1/\(x^2\) is a hyperbola that approaches the x-axis as x increases. The line x = 6 is a vertical line passing through x = 6.

To find the region of the area enclosed by these curves, we need to determine the limits of integration. The region lies to the right of the y-axis (x > 0) and is bounded by the curves y = 1/x and y = 1/\(x^2\). The left boundary of the region is the curve y = 1/x, and the right boundary is the curve y = 1/\(x^2\). The lower boundary is the x-axis, and the upper boundary is the curve y = 1/x.

To calculate the area of this region, we can integrate with respect to x. The limits of integration are x = 1 (the intersection point of the curves y = 1/x and y = 1/\(x^2\)) and x = 6 (the given line). The integral that represents the area is ∫[1, 6] (1/x - 1/\(x^2\)) dx. By evaluating this integral, we can find the area of the region enclosed by the given curves.

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PLS HELPPPPPPP I WILL GIVE 40 PTSSSSS AND BRAINLYEST IF YOU HELP GOOD AND FOOL ANSWERS WILL BE REPORTED

PLS HELPPPPPPP I WILL GIVE 40 PTSSSSS AND BRAINLYEST IF YOU HELP GOOD AND FOOL ANSWERS WILL BE REPORTED

Answers

The surface area of the prism is 78 square units, which corresponds to option A.

How to solve for the surface area

You provided three dimensions: 5 units, 3 units, and 3 units. I assume these are the dimensions of a rectangular prism.

Let's label the dimensions: length (l) = 5 units, width (w) = 3 units, and height (h) = 3 units.

There are two bases, and their areas are equal:

Base Area = l * w = 5 * 3 = 15 square units

There are also three pairs of lateral faces. The areas of the lateral faces are:

Two faces with dimensions l and h: 2 * (l * h) = 2 * (5 * 3) = 30 square units

Two faces with dimensions w and h: 2 * (w * h) = 2 * (3 * 3) = 18 square units

Now, add the areas of all the faces together:

Surface Area = Base Area * 2 + Lateral Area = 15 * 2 + 30 + 18 = 30 + 30 + 18 = 78 square units

So, the surface area of the prism is 78 square units, which corresponds to option A.

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Find the partial fraction decomposition of
2 + 36 3 + 2
by creating a system of equations for the values you are seeking. Solve that matrix using 3 different techniques. We studied substitution, elimination, Gaussian elimination, matrix inverses, and Cramer’s rule.
a) The system of equations is:
b) Detailed solution of system using method 1:
c) Detailed solution of system using method 2:
d) Detailed solution of system using method 3:
e) Solution of the original question: the partial fraction decomposition.

Find the partial fraction decomposition of2 + 36 3 + 2by creating a system of equations for the values

Answers

Answer:

a b c d are the answers

Step-by-step explanation:

What is the value of x that satisfies the equation -3x - 6 = 30? I NEED HELP ASAP PLS!!!!! YOU GET 15 POINTS!!

Answers

Answer:

x = -12

Step-by-step explanation:

First, move the constant to the right and change its sign.

-3x = 30 + 6

Next, add the numbers

-3x = 36

Lastly, divide both sides by -3

x = -12

a 50 foot ladder is set against the side of a house so that it reaches up 48 feet. of mila grabs the ladder at its base and pulls it 6 feet farther from the house, how far up the side of the house will the ladder reach now?

Answers

The ladder on pulling 6 feet father from the house now reaches 45.83 feet, which is lower than previous height.

The distance between ladder and house, the distance till ladder reaches and length of ladder given by Pythagoras theorem. The distance till ladder reaches is perpendicular, ladder is hypotenuse and the base is horizontal distance between the two. So, finding the base first.

Base² = 50² - 48²

Base² = 2500 - 2304

Base² = 196

Base = ✓196

Base or horizontal distance = 14 feet.

Now, on moving 6 feet, the horizontal distance will be 14 + 6 = 20 feet. Finding the new height or perpendicular now.

50² = 20² + Perpendicular²

Perpendicular² = 2500 - 400

Perpendicular² = 2100

Perpendicular = 45.83 feet

Hence, the ladder now reached to 45.83 feet height of the house.

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Can someone explain to me what to do and what is the correct answer please? I would really like to know what to do, thank u in advance if u help me!<3

Can someone explain to me what to do and what is the correct answer please? I would really like to know

Answers

X=113

The angle inside the triangle by the 53 is also 53.
We know triangles have 180 degrees so the other angle is 180-53-60=67
X is the supplementary angle to the 67 so x=113

The total bill is 86.50 he leaves 15% tip what is the total cost of the meal

Answers

Answer:

99.47

Step-by-step explanation:

86.50/15 =

+86.50 =

99.47

Historically, the industries with the most complaints to the Better Business Bureau have been banks, cable and satellite television companies, collection agencies, cellular phone providers, and new car dealerships. The results for a sample of complaints are contained in the file BBB. Click on the datafile logo to reference the data. a. Construct a frequency distribution for the number of complaints by industry. CategoryObserved Frequency Bank 26 Cable 44 Car 42 Cell 60 Collection 28 Total 200 b. Using , conduct a hypothesis test to determine whether the probability of a complaint is the same for the five industries. The test-statistic is (to 3 decimals). -value (to 4 decimals) What is your conclusion

Answers

Chi-squared goodness of fit test to determine equality of complaint probability in 5 industries.

This question seems to be asking for a chi-squared goodness of fit test to determine if there is evidence to suggest that the probability of a complaint is the same for all five industries.

Here's how you could perform the hypothesis test:

H0: For each of the five industries, the likelihood of a complaint is the same.

Ha: For at least one industry, there are variable odds of receiving a complaint.

Test-statistic:

Calculate the expected frequency for each industry by multiplying the total number of complaints by the proportion of complaints in each industry.Subtract the expected frequency from the observed frequency for each industry, square the result, and divide by the expected frequency.Sum up the results for all five industries.

-value:

Find the critical value of a chi-squared distribution with 4 degrees of freedom (5 industries - 1) at a given level of significance (e.g. 0.05).

Conclusion:

Reject the null hypothesis if the test statistic exceeds the crucial value. There is evidence to suggest that the probability of a complaint is different for at least one industry.If the test-statistic is less than or equal to the critical value, fail to reject the null hypothesis. There is not enough evidence to suggest that the probability of a complaint is different for any of the industries.

I hope that helps! If you have the data and would like to perform the test and find the test-statistic and -value, I'd be happy to assist you further.

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Darrell estimates that it will take him 9 days to complete every world on a new video game. It actually takes him 12 days. What is the percent error of Darrell's estimate? Round the percent to the nearest tenth if necessary.

Answers

Answer:

25%

Step-by-step explanation:

A circular spinner has a radius of 6 inches. The spinner is divided into three sections of unequal area. The sector labeled green has a central angle of 90°. A point on the spinner is randomly selected.

What is the probability that the randomly selected point falls in the green sector?

A circular spinner has a radius of 6 inches. The spinner is divided into three sections of unequal area.

Answers

The probability of selecting a point in the green sector is 1/4 or 0.25.

The area of a circle with radius 6 inches is given by the formula A = πr², where r is the radius of the circle.

Substituting r = 6, we have A = π(6)² = 36π square inches.

The area of a sector of a circle with central angle θ and radius r is given by the formula A = (θ/360)πr².

Substituting θ = 90 and r = 6, we have A = (90/360)π(6)² = 9π square inches.

Therefore, the probability of selecting a point in the green sector is given by the ratio of the area of the green sector to the total area of the circle:

P(green) = (area of green sector) / (total area of circle)

= (9π square inches) / (36π square inches)

= 1/4

Thus, the required probability is 1/4 or 0.25.

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Find the product of (x + (3+5i))^2

Answers

Answer:

x^2 +6x +10xi -16 +30i

Step-by-step explanation:

(x + (3+5i))^2

Rewriting as

(x + (3+5i))  (x + (3+5i))

Let 3+5i = m

(x + m)  (x + m)

FOILing

x^2 + xm+xm+m^2

x^2 +2xm + m^2

Replacing m with 3+5i

x^2 +2x (3+5i) +(3+5i)^2

Distribute

x^2 +6x +10xi +(3+5i)^2

Now FOIL (3+5i)^2

( 3+5i) ( 3+5i)

 3*3+ 3*5i + 3*5i+ 25i^2

= 9 +15i+15i +25(-1)

9+30i -25

-16 +30 i

Replacing that in the equation

x^2 +6x +10xi -16 +30i

Answer:

x² + 6x + 10xi -16 + 30i

Step-by-step explanation:

(x + (3 + 5i) )²

use the binomial theorem:

(a + b)² = a² + 2ab + b² to expand (x + (3 + 5i) )²

substitute the values,

x² + (6 + 10i)x + (-16 + 30i)

therefore

x² + 6x + 10xi -16 + 30i

as a town gets smaller, the population of its high school decreases by 6% each year. the senior class has 250 students right now. in how many years will it have about 150 students solve without graphing using pert

Answers

An equation of the question is 250 × 0.94^n = 150 and in approx 8 years it will have about 150 students.

The population of its high school decreases by 6% each year.

The senior class has 250 students now.

Each year decrease in population = 6% = 0.06

So it can be = 1 - 0.06 = 0.94

Total student now = 250

Let n be the number of years before the class will have  students.

So the equation should be = 250 × 0.94^n

After years left students = 150.

Now the equation should be

250 × 0.94^n = 150

Now solving the equation.

Divide by 250 on both side, we get

0.94^n = 150/250

0.94^n = 3/5

Taking log on both side, we get

log(0.94^n) = log(3/5)

Using the formula log(m^n) = n logm and log(m/n) = log m - log n

n log(0.94) = log3 - log5

Now finding the value of log using calculator

n (-0.062) = 1.099 - 1.61

(-0.062)n = -0.511

Divide by (-0.062) on both side, we get

n = 8.242

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The complete question is:

As a town gets smaller, the population of its high school decreases by 6% each year. The senior class has 250 students now. In how many years will it have about 150 students? Write an equation. Then solve the equation without graphing. Write an equation to represent this situation. Let n be the number of years before the class will have  students.

The number of hours, H, of daylight in Madrid as a function of date is approximated by the formula

H=12+2. 4sin(0. 0172(t−80)),

where t is the number of days since the start of the year. (We can think of t=0 as the stroke of midnight on Dec. 31/Jan 1; thus, January falls between t=0 and t=31, February falls between t=31 and t=59, etc. ).


Find the average number of hours of daylight in Madrid (assuming in each case that it is not a leap year):

Answers

The average number of hours of daylight in Madrid is approximately 12.01 hours.

To find the average number of hours of daylight in Madrid, we need to integrate the formula for H over the range of days in a year and divide the result by the number of days in a year.

The formula for H is H=12+2.4sin(0.0172(t−80)).

We can integrate this formula over the range of days in a year as follows:

\($\int_{0}^{364} H dt = \int_{0}^{364} (12+2.4\sin(0.0172(t-80))) dt$\)

We can simplify this integral by using the fact that the integral of sin(x) over one period is zero, and the period of sin(0.0172(t−80)) is 2π/0.0172, which is approximately 365. Therefore, we have:

\($\int_{0}^{364} H dt = \int_{0}^{364} 12 dt = 12(365) = 4380$\)

Dividing this result by the number of days in a year, we get:

Average hours of daylight = 4380/365 ≈ 12.01 hours.

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The price of a laptop decreased from RS50 000 to Rs45 000. Calculate the percentage decrease in the price.

Answers

half answer only .............
The price of a laptop decreased from RS50 000 to Rs45 000. Calculate the percentage decrease in the price.

Answer:

Step-by-step explanation:

loss amount=Rs 50000-Rs 45000

=Rs 5000

loss%=loss amount/original amount100%

=5000/50000*100

=500000/50000

=10%

a straight line passes through the point P(-1,5). Another line which passes through Q(-4,4) intersects the first line at point R( µ,5) where µ is a constant . If <PRQ = 90° find the value of R​

Answers

Answer:

\(\mu=-4\)

Step-by-step explanation:

We know that \(\overline{PR} \perp \overline{QR}\).

Since \(\overline{PR}\) is horizontal, \(\overline{QR}\) is vertical. Therefore, \(\mu=-4\).

What is the Roman number of 500 and 1000?

Answers

Answer:

500=D 100=M

Step-by-step explanation:

I hope that helps :D

Find the slope of the line through each pair of points

Find the slope of the line through each pair of points

Answers

Answer:

Answer of 3 is 5/4. and of no 4 is -11/-26. I think the image will help you.

Formula for slope is y2-y1/x2-x1

Find the slope of the line through each pair of points

NEED HELP FAST PLEASE

Pete must buy 1200 shirts for his
department stores to sell. Two of Pete's suppliers are offering deals on bulk purchases of shirts. Ana is offering the shirts at $10 each, with a "Buy 5, Get 1
Free" discount. Jun is offering the shirts at
$8 each.

Complete the statements below to compare the offers.

What would Pete pay Ana for the shirts?

The ratio of shirts Pete pays for to all the shirts Pete gets is 5:
__/__ of 1200 is ___
___× $10 = $
What would Pete pay Jun for the shirt
1200 x $8 = $___

NEED HELP FAST PLEASE Pete must buy 1200 shirts for hisdepartment stores to sell. Two of Pete's suppliers

Answers

1. The ratio of shirts Pete pays for to all shirts is 1000.

2. Pete would pay Ana $8.33 for each shirt.

3. Pete would pay Jun $9600 for the shirt.

What would Pete pay Ana for the shirts?

To determine what Pete would pay Ana for the shirts, we can use the "Buy 5, Get 1 Free" discount. The ratio of shirts Pete pays for to all the shirts Pete gets is 5:6 (5 shirts paid, and 1 shirt received for free).

To fill in the statements:

1. The ratio of shirts Pete pays for to all the shirts Pete gets is 5:6 of 1200 is ____.

To find the missing value, we can set up the following equation:

5/6 * 1200 = x

Solving for x, we have:

x = (5/6) * 1200 = 1000

So, the ratio of shirts Pete pays for to all the shirts Pete gets is 5:6 of 1200 is 1000.

2. ___ × $10 = $

Pete pays $10 for each shirt. Since the ratio is 5:6, the missing value can be calculated as follows:

5/6 * $10 = $8.33 (rounded to two decimal places)

Therefore, Pete would pay Ana $8.33 for each shirt.

3. What would Pete pay Jun for the shirt?

Pete would pay Jun $8 for each shirt. Since Pete needs 1200 shirts, we can calculate the total amount he would pay Jun as follows:

1200 x $8 = $9600

Therefore, Pete would pay Jun $9600 for the shirts.

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TRUE OR FALSE if a line passes through the points (20,5) and (10,10), then the slope of the line is -2.

Answers

False. The slope of the line is actually -0.5.

Let's determine the slope of the line that passes through the points (20, 5) and (10, 10). To find the slope, we can use the formula:

Slope (m) = (y2 - y1) / (x2 - x1)

Plugging in the coordinates of the two points, we get:

m = (10 - 5) / (10 - 20) = (5) / (-10) = -1/2

The slope of the line is -1/2. Therefore, the statement "If a line passes through the points (20, 5) and (10, 10), then the slope of the line is -2" is FALSE.

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12. Ms. Lacy wants to work out. Drop It Like It's Hot gym charges a monthly rate of $25 and
a $5.00 fee for each class. Kickin' It gym charges $20.00 monthly and $7.50 per class.
How many classes would Ms. Lacy need to attend for Kickin' It gym to be less expensive
than Drop It Like It's Hot gym?
a. More than 2 classes
b. Less than 2 classes
c. Less than 12 classes
d. More than 12 classes
Tt5

Answers

Answer:

more than 12 classes

Step-by-step explanation:

pls help its due on monday...

pls help its due on monday...

Answers

No this is not a function. When you’re given a graph and asked to determine if it’s a function or not, use the vertical line test. If there are any points with the same x value where you can draw a vertical line down and cross both points, it fails the vertical line test and therefore is not a function. In this case, looking at -5 and 0, there are two points on each of them.

It's easy math but I am not very good at it, I need some help. can someone help me????? solve all 3of them please!

It's easy math but I am not very good at it, I need some help. can someone help me????? solve all 3of

Answers

Answer:

1. 458 - 247 = 211

2. 58.92 - 43.87 = 15.05

3. 51/8 - 15/8 = 4.5

Here you go ! Hope this helps !

Answer:

1. 458 - 247 = c

2. 58.92 - 43.87 = c

3.\(\frac{51}{8}\) - \(\frac{15}{8}\) = c

Step-by-step explanation:

Hope this helps! <3

To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix.


A)What is the ratio of water to drink mix? (2 points)




B)What is the ratio of drink mix to water? (2 points)




C)What is the ratio of drink mix to mixed energy drink? (2 points)




D) What is the ratio of water to mixed energy drink? (2 points)

Answers

Answer:

8 : 3

3 : 8

8 : 11

Step-by-step explanation:

Answer:

A) 8 : 3

B) 3 : 8

C) 3 : 11 [water + drink mix = 3 + 8 = 11]

D) 8 : 11

help - i'll give brainliest

help - i'll give brainliest

Answers

Answer:

W=91.2

Step-by-step explanation:

7.6=1212⋅7.6=12⋅12

=91.2

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Help simple high school geometry question. Decisions regarding health care differ from decisions regarding auto repair with respect to: The decile ratio of a country decreased over two years, but itsGini coefficient increased over the same period. What does thismean? Which American official took bribes from Spain?O James WilkinsonO James PolkO Jesse JamesO James Madison 2. Provide a definition of a measuring unit. Give an example of aunit of length, mass, and volume. Given that the following rhombus, find mGKH and mJFK if we know that mGFJ = 98 e. How would the sky look if we could see microwaves in space? Which technology is most often used to update parts of a web page without reloading the whole page? ajax css php adobe flash. 47. What is the net-to-gross ratio of the following layered formation?LayerA : 10 (Thickness (ft)), Yes (Permeable?)B : 3 (Thickness (ft)), No (Permeable?)C : 5 (Thickness (ft)), Yes (Permeable?)D : 2 (Thickness (ft)), No (Permeable?)E : 10 (Thickness (ft)), Yes (Permeable?)ANSWER______ In which situation are geographers LEAST likely to apply central place theory? why are the kekule structures not adequate to represent the structure of benzene? A 0.05 kg bullet strikes a 1.3 kg box and displaces it by a height of 4.5 m. After hittingthe box, the bullet becomes embedded and remains inside the box. Find the velocity of the bullet-block system after it's hit.(a) 6.76 m/s(b) 5 m/s(c) 9.39 m/s(d) 7.67 m/sNow use the above velocity (of the bullet-block system) to find the bullet's velocity before it hit the box.(e) 196.76 m/s(f) 100.07 m/s(g) 209.39 m/s(h) 253.53 m/s Mrs. Downey's credit card was stolen, and she did not realize it for several days. Thethief charged a $1,124 watch while using it. According to the Truth-in-Lending Act, atmost how much of this is Mrs. Downey responsible for paying? 50 POINTS! PLEASE HELP!A gas in a balloon at constant pressure has a volume of 120.0mL at -12.30C. What is its volume at 197.00C? PLEASE HELP WILL MARK BRAINLIEST!(MC)Read the following passage and answer the questions that follow:Doctor Pascalby Emile ZolaIn the heat of the glowing July afternoon, the room, with blinds carefully closed, was full of a great calm. From the three windows, through the cracks of the old wooden shutters, came only a few scattered sunbeams which, in the midst of the obscurity, made a soft brightness that bathed surrounding objects in a diffused and tender light. It was cool here in comparison with the overpowering heat that was felt outside, under the fierce rays of the sun that blazed upon the front of the house.Standing before the press which faced the windows, Dr. Pascal was looking for a paper that he had come in search of. With doors wide open, this immense press of carved oak, adorned with strong and handsome mountings of metal, dating from the last century, displayed within its capacious depths an extraordinary collection of papers and manuscripts of all sorts, piled up in confusion and filling every shelf to overflowing. For more than thirty years the doctor had thrown into it every page he wrote, from brief notes to the complete texts of his great works on heredity. Thus it was that his searches here were not always easy. He rummaged patiently among the papers, and when he at last found the one he was looking for, he smiled.For an instant longer he remained near the bookcase, reading the note by a golden sunbeam that came to him from the middle window. He himself, in this dawnlike light, appeared, with his snow-white hair and beard, strong and vigorous; although he was near sixty, his color was so fresh, his features were so finely cut, his eyes were still so clear, and he had so youthful an air that one might have taken him, in his close-fitting, maroon velvet jacket, for a young man with powdered hair.The passage implies that Dr. Pascal is which kind of character? (5 points)Group of answer choicesA nervous and unsure personA scatterbrained and angry geniusA well-disguised villainA patient and scholarly man IM NOT GOING WITH THAT CAT What is the cause-effect relationship between European colonialism and tensions in African society? Include the Berlin Conference, religious belief, and how the colonial legacy has carried over to the present day. Bornite (Cu3FeS3) is an ore of copper. When it is heated in air, the following reaction takes place: 2.1 2Cu3 FeS3 (s) + 70(g) 60 Suppose 700.g of bornite is reacted with 681.0 g of oxygen. Cal CAN SOMEONE PLS HELP ME If you had six candy bars and you gave 12 people an equal piece, how much wouldeach person receive?