Suppose when you study 4 hours for an exan, your mark is 80 percent. and if you study for an extra hour, your mark is 85 percernt. the marginal benefir from studying one more hour is:_________

Answer:

9.6*10^-12

Step-by-step explanation:

To calculate this, you will do the mass of 2 times 10^(-12) gram. So, 2*(10)^-12. Then we know 30 hours = 480,000,000 bacteria.

So now now you calculate the mass, 480,000,000 * 2(10)^-12 which gives you 9.6*10^-4.

Sorry if it sounds confusing! I hope this helps, have a good day! :D

The record holder skips 83 times in 15 seconds

We refer to a ratio as constant if the number we multiply by remains constant throughout the series.

By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other. There are two different categories for ratios. The first is a part-to-part ratio, whereas the second is a part-to-whole ratio.

The World record for the most number of skips is 332 in 69 seconds.

Let's assume the record holder skipped at a constant ratio.

The proportion, if s is the number of skips:

skips / seconds = s / 15 = 332/60

s / 15 = 332 / 60

s = 332( 15/60 )

s = 332/4

s = 83

She skipped 83 times in the space of 15 seconds.

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The original dimensions (length and width) of this rectangular piece of metal are 19.81 inches and 14.81 inches respectively.

Mathematically, the volume of a rectangular prism can be calculated by using this formula:

Volume = L × W × H

Where:

Given the following data:

Length, L = W + 5

Since squares of 1 in long are cut from the four corners, the length and width are reduced by 2 in. Also, the height of the box would be 1 inches.

Therefore, the volume of this rectangular box is given by:

456 = (L - 2) × (W - 2) × 2

456 = (W + 5 - 2) × (W - 2) × 2

456 = (W + 3) × (W - 2) × 2

228 = (W² - 2W + 3W - 6)

228 = W² + W - 6

W² + W - 6 - 228 = 0

W² + W - 234 = 0

Next, we would solve the quadratic equation by using the quadratic formula:

[tex]W = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\\\\W = \frac{-1\; \pm \;\sqrt{1^2 - 4(1)(-234)}}{2 \times 1}\\\\W = \frac{-1\; \pm \;\sqrt{1 + 936}}{2}\\\\W = \frac{-1\; \pm \;\sqrt{937}}{2}[/tex]

Width, W = 14.81 or -15.81

Since the width cannot be negative, the value of W is equal to 14.81 inches.

For the length, we have:

Length, L = W + 5

Length, L = 14.81 + 5

Length, L = 19.81 inches.

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Answer:

length = area/width

Step-by-step explanation:

The width is missing.

area = length × width

length = area/width

Divide the area by the width to find the length.

Answer:

D.Moving left to right, the whole number stays the same, the tenths stay the same, and the hundredths decrease by 2.

Answer:

https://www.omnicalculator.com/math/slope

Step-by-step explanation:

go there and you will get the answers or just type in Brainly on search bar the same question your asking on here!

385 people get on an empty train at a station. At the first stop, 264 more people get on the train, and 89 people get off. There are no more stops until the train reaches it final destination, where everybody gets off the train.

560 is the answer

560 people get off the train at the final destination.

Given that 385 people get on an empty train. At the first stop, 264 more people get on, and 89 people get off.

There are no more stops until the train reaches it final destination,

We need to find the number of the people who get off the train at the final destination.

To find out how many people get off the train at the final destination, let's break down the information given step by step.

385 people get on the empty train at the station.

At the first stop, 264 more people get on the train, bringing the total number of people on the train to 385 + 264 = 649.

Additionally, 89 people get off the train at the first stop.

After the first stop, there are no more stops until the final destination.

To find out how many people get off at the final destination, we need to subtract the number of people who got off at the first stop from the total number of people on the train after the first stop.

Total number of people on the train after the first stop = 649 (from step 2)

People who got off at the first stop = 89 (from step 3)

Number of people who get off at the final destination = Total number of people on the train after the first stop - People who got off at the first stop

Number of people who get off at the final destination = 649 - 89 = 560

Therefore, 560 people get off the train at the final destination.

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[tex] \large \bf \implies{15}[/tex]

[tex]\bf \longrightarrow((2 + 4 \times 2) - 5) \times 3[/tex]

Step 1) ; Calculate the product or quotient

[tex]\bf \longrightarrow((2 + 8) - 5) \times 3[/tex]

Step 2) ; Calculate the sum or difference

[tex]\bf \longrightarrow(10 - 5) \times 3[/tex]

Step 3) : Calculate the sum or difference

[tex]\bf \longrightarrow5 \times 3[/tex]

Step 4) : Calculate the product or quotient

[tex]\bf \longrightarrow15[/tex]

Answer:

3(x+4)=5x-9

or,3x+12=5x-9

or,12+9=5x-3x

or,21=2x

orx=21/2

x=10.5

The value of x from the given rectangle is 10.5 units.

The opposite sides of a rectangle are 3(x+4) and 5x-9.

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.

Now, the opposite sides of a rectangle are congruent

So, 3(x+4) = 5x-9

⇒ 3x+12=5x-9

⇒ 5x-3x=12+9

⇒ 2x=21

⇒ x=10.5 units

Therefore, the value of x from the given rectangle is 10.5 units.

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which means the graph is on quadrate 2 or 3.

Straight  Line :

A straight line is an infinite-length line that does not have any curves on it. A straight line can be formed between two points also but both ends extend to infinity. A straight line is a figure formed when two points A (x1, y1) and B (x2, y2) are connected with the shortest distance between them, and the line ends are extended to infinity.

In the image shown below, a straight line between two points A and B is shown. A straight line AB is represented by: Vector AB

The lines are drawn in a slanting position or form some angle other than 0o, 90o, 180o, 270o, 360o with horizontal or vertical lines are called oblique or slanting lines.

y=  -(x - 3)² + 2.

y= - (x2+9-6x)+2

y= -x2-9+6x+2

y= -x2-7+6x

y= -x2+6x-7

-y =  x2+7x-x-7

-y= x(x+7)-1(x+7)

-y= (x+7)(x-1)

which means the graph is on quadrate 2 or 3.

straight line graph of y = -(x - 3)² + 2.4

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Answer:

What are you even trying to solve for? There is no variable or anything

Step-by-step explanation:

Answer:

0.6

Step-by-step explanation:

Divide 2 by 3 to convert 2/3 in its decimal form.

The quotient obtained on dividing 2 by 3 will be 0.6

So, the decimal form of 2/3 is a non-terminating and recurring decimal number 0.6

Answer:

x = 3

Step-by-step explanation:

Since both have f(x), the substitution method can be used.

1. f(x) = -3x - 1

2. f(x) = -10

Therefore,

-3x - 1 = -10

Flip to positive to calculate more easily since all are negative (although, this is optional.)

3x + 1 = 10

3x + 1 - 1 = 10 - 1 (to make one side x and other side number)

3x = 9

x = 3

Hope this helped! ^^

Answer:

Step-by-step explanation:

The given statement "The median of a quantitative data set is always one of the individual data values" is false.

When a given data set is arranged in ascending order the observation which at the between of the data is the median of that data set. It is a value in the set whose left and right both have the same number of observations.

The given statement is not true, this is because the median is the mid-value of any data set.

Hence, the given statement "The median of a quantitative data set is always one of the individual data values" is false.

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Let the number of sweets Mrs. Chua has be x

And the number of children be y

So,

x-8y=3 ------- 1️⃣

x-9y= -2 ------- 2️⃣

Change the signs of equation 2️⃣

x-8y=3

+x-9y=-2

- + +

__________

Substitute equation 3️⃣ in equation 1️⃣ :

[tex] \sf \: x - 8y = 3[/tex]

[tex] \sf \: x - 8 \times 5 = 3[/tex]

[tex] \sf \: x - 40 = 3[/tex]

[tex] \sf \: x = 3 + 40[/tex]

[tex] \tt \: x = 43[/tex]

Therefore, The total number of children i.e. y is 5 and the total number of sweets Mrs. Chua i.e. x is 43...

Answer: 18

Step-by-step explanation:

12 divided by 2 = 6

6 x 3 = 18

Answer:

the answer is 18

Step-by-step explanation:

this is because 12 divided by 2 = 6

6 x 3 = 18

Answer:

-3x + 28y - 21

Step-by-step explanation:

[tex]7y+21y=28y\\=-3x+28y-21[/tex]

• Add the similar factors and carry over the uncommon factor, -3x.

False, Mathematically, an odds ratio equates to a risk ratio, therefore, odds ratios can be interpreted in an exactly same way as risk ratio.

What distinguishes risk from probability?

The fundamental distinction is that the relative risk is a ratio of two probabilities, but the odds ratio is a ratio of two odds (yes, it's that clear). (The risk ratio is another name for the relative risk.)

Used to approximate the relative risk in case-control studies, when the occurrence of diseases are KNOWN

odds of an event = the number of ways an event can occur to the numbers of ways an event cannot occur

odds ratio = P / (1-P)

where P = probability of occurrence

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Answer:

f(0) = - 81

Step-by-step explanation:

f(0) means what is the value of f(x) when x = 0

substitute x = 0 into f(x)

f(0) = 12(0)² - 81 = 12(0) - 81 = 0 - 81 = - 81

Answer:

1/8

Step-by-step explanation:

(3/4)÷6

3/24

1/8

Answer:

x = 64

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees, so the missing angle in the triangle on the right has an angle measurement of 180 - 47 - 81 = 52 degrees.

Since the angle and the rightmost angle in the triangle on the right are vertical angles. They are congruent.

Finally, since the triangle on the left is an isosceles triangle and the base angles, the angles on the top left and bottom left, are congruent and therefore their angle measures are both x degrees. So, 2x + 52 = 180 and x = 64.

Answer:Sounds delicious

Step-by-step explanation:

Sounds nice, ill make this

Ordinal is the answer.

In the given statement is:
A scale that allows one to determine only if there is more, less, or an equal amount of the attribute in comparison to another observation is called a(n) ____ scale.

Ordinal Scale is the 2nd level of measurement that reports the ranking and ordering of the data without actually establishing the degree of variation between them. Ordinal level of measurement is the second of the four measurement scales. "Ordinal" indicates "Order".

Hence, The answer is Ordinal

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I need to buy 0.75 gallons of paint 2 coats on the wall.

We are given the area of wall, which is 150 square feet. So, if I need to put double or two coats on the wall, the area of wall to be considered will be : 150 × 2

Area of wall to be considered = 300 square feet

As per the information on paint -

400 square feet is covered by amount of paint = 1 gallon

300 square feet will be covered by amount of paint = (1 ÷ 400) × 300

Amount of paint = 300 ÷ 400

Amount of paint = 0.75 gallons

Therefore, I need to buy 0.75 gallons of paint 2 coats on the wall.

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Answer:

$180

Step-by-step explanation:

Well because it is $27 per hour, you can start with the whole hours:

6*27=162

then because you are working with fractions you can find what 1/3 of 27 is:

27* (1/3)=9

this tells us that one-third of an hour is worth 9 dollars but because it is 2/3 then you just add another 9. This means 2/3 of 27 is 18.

Then you just add it all up:

162+18=180