Each hour, 7.5 liters drain from a large water tank. The tank initially held 83 liters of water. What does the expression 83−7.5t represent?

Answers

Answer 1

The expression 83 - 7.5 t represents the amount of water that is left in the tank after t hours as 7.5 l of water drains every hour from the large water tank.

We are given that:

7,5 l of water drains from the large water tank every hour.

Also, the water level in the large water tank initially was 83 l

We need to tell what does the expression 83 - 7.5 t represent.

It represents the amount of water that is left in the tank after t hours as 7.5 l of water drains every hour from the large water tank.

Therefore, the expression 83 - 7.5 t represents the amount of water that is left in the tank after t hours as 7.5 l of water drains every hour from the large water tank.

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Related Questions

James has a 6-ft board that is 24 in. wide. He wants to cut it into five pieces to make a small bookshelf with two shelves. The front and back will not be covered. What should the dimensions of the bookshelf be to maximize the volume and use all of the 6 ft board?

Answers

Answer:

width=x, length = y

(in ft)

3x + 2y = 6y>x

y = 1.5 , x= 1

1ft = 12 in 1.5ft = 18in

What is the volume of this figure?

Answers

Answer:

74 yd^3

Step-by-step explanation:

2x2=4x3=12

1x1=1x2=2

2x5=10x6=60

12+2=14+60=74

Break it down into 3 shapes:

6 x 2 x 5 = 60

2 x 1 x 1 = 2

2 x 2 x 3 = 12

Total = 60 + 2 + 12 = 74 cubic yds.

Answer: 74 cubic yds.

George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money. Look at the numerical expression George used:

15 − 9 + 2.65 + 1.35 + 2(1.74)

Why does George need to fix the expression?

Answers

Answer:

$3.52

Step-by-step explanation:

What George needs to fix is that Geroge needs to add paranthesis on the sides of the addition part of the expression, like this - 15 - (9 + 2.65 + 1.35 + 2(1.74)) in order to see how much he has left. You first add the equation part which comes to 11.48, and 15 - 11.48 = $3.52.

Answer:

The person above me is wrong

Step-by-step explanation:

Sample Response: George did not put parentheses around the total snack amount to be subtracted from his $15. He needed to total the purchases and then subtract that amount from $15.

Write an equation of the line passing through the points (4,11) and (−1,−14).

Answers

Answer:

y=5x-9

Step-by-step explanation:

fastt
13. Calculate the compound interest of an annuity due of BD400 paid each 4 months for 6.2 years if the nominal rate is 3% thirdly? (3 Points)

Answers

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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1 For each line
b write down the y-intercept
c write down the equation.
a work out the gradient

Answers

Step-by-step explanation:

I'll do line A for you and you can use the formulas to solve lines B and C yourself, since its good for you to practice doing these questions yourself

The gradient, m, is calculated using m = (y2-y1)/(x2-x1) where x1,x2,y1 and y2 can be any ordered pairs on the line. I'm going to use (4,0) and (7,3) as the 2 points.

m = (3-0)/(7-4) = 3/3 = 1

The y-intercept is where the line intersects with the x-axis. In this case (0,-4)

The equation of a linear line is y=mx+b (or c depending on which country you are from)

y = 1x-4

y=x-4

Now try the other 2 lines yourself!

If this answer has helped you, considered making this the brainliest answer!

Which equation represents a hyperbola shown in the graph?

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is C on edge

Step-by-step explanation:

Three groups of students used different methods to estimate the diagonal length of a patio in feet. Their results were:Which list shows these diagonal lengths in order from greatest to least?

Answers

Answer:

Greatest to least...

4 to the power of 13, 14 2/5, 14.33

Step-by-step explanation:

I got this correct on my test

] Grade 6 Module 1 Topic D Quiz
I need help with this. please help I’m begging you

Answers

Complete the conversion table from fraction to decimal to percentage

How to convert from fraction to decimal to percentage

Fraction

3/8

Decimal

= 0.375

Percentage

= 0.375 × 100

= 37.5%

Decimal = 0.455

Fraction = 455 / 1000

= 91/200

Percentage = 0.455 × 100

= 45.5%

Percentage

=86.5%

Decimal = 86.5% / 100

= 0.865

Fraction = 865/1000

= 173/200

Fraction = 3/25

Decimal = 0.12

Percentage = 0.12 × 100

= 12%

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high-speed internet laying fiber-optic cable for high-speed internet is an expensive process. cable companies want to make sure that, if they extend their lines out to less dense suburban or rural areas, there will be sufficient demand and the work will be cost-effective. in the rural town of podunk*, the local cable company decides to conduct a survey to determine the proportion of households in a local subdivision that would buy their internet service. the subdivision has 24 blocks, and each block has exactly 10 households, for a total of 240 households.

Answers

In the given scenario, the cable company decides to conduct a survey in the rural town of Podunk to determine the proportion of households that would buy their internet service. 50% of the households surveyed would buy internet service from a cable company

To calculate the proportion of households, we use the following formula:

The proportion of households = (Number of households who would buy the service) / (Total number of households surveyed)

The subdivision has 24 blocks, and each block has exactly 10 households, for a total of 240 households.

Therefore, the proportion of households = (Number of households who would buy the service) / (Total number of households surveyed)

Let's say that after conducting the survey, the company finds out that 120 households would buy their internet service. Then, the proportion of households who would buy their internet service can be calculated as follows:

The proportion of households = 120/240

The proportion of households = 0.5

Therefore, 50% of the households surveyed would buy internet service from a cable company. This information can help the company decide whether it is cost-effective to lay fiber-optic cable for high-speed internet in the subdivision. If the proportion of households willing to buy their service is high enough, the cable company will consider extending its line out to the area. However, if the proportion is too low, it may not be worth the expense to lay fiber-optic cable.

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1. Given a random measurement process (X) with a population mean μ of 12 and population standard deviation σ of 1.5, perform the following calculations while assuming that the underlying random process is Gaussian: a. Give the probability that the next measurement x
i

is between 8 and 10 (i.e., P(8 i

is greater than 13 (i.e., P(X>12) ) c. What is the precision error of this measurement process?

Answers

a. To calculate the probability that the next measurement xi is between 8 and 10, we need to calculate the cumulative probability from the standard normal distribution.

First, we need to standardize the values using the population mean and standard deviation:

Z1 = (8 - μ) / σ
Z2 = (10 - μ) / σ

Substituting the values:
Z1 = (8 - 12) / 1.5 = -2.67
Z2 = (10 - 12) / 1.5 = -1.33

Now, we can use a standard normal distribution table or a calculator to find the cumulative probabilities corresponding to these z-values. The probability that the next measurement xi is between 8 and 10 is given by:

P(8 < xi < 10) = P(Z1 < Z < Z2)

Using the standard normal distribution table or calculator, we find the corresponding probabilities and subtract to get the desired result.

b. To calculate the probability that the next measurement xi is greater than 13, we can follow a similar approach.

Z = (13 - μ) / σ
Z = (13 - 12) / 1.5 = 0.67

P(X > 12) = P(Z > 0.67)

Using the standard normal distribution table or calculator, we can find the probability corresponding to the given z-value.

c. The precision error of the measurement process can be represented by the standard deviation of the population (σ). In this case, the precision error is given as 1.5, which is the population standard deviation. It represents the average amount of variation or spread in the measurements from the population mean.

So uhhh... this is urgent. PLS solve this:
Simplify the equation below. Explain your steps in full sentences. brainliest for best answer (duh). Thank you very much.

(x^{2} × x^{4})^{3}

Answers

Answer:

−

Step-by-step explanation:

Answer:

x18

Step-by-step explanation:

x2x4)3

=(x6)3

=x6*x6*x6

=x18

Adam is a field goal kicker. If he made 30 field goals out of his last 32 attempts, what percent of the attempts did he make?

Answers

30/32 multiply by 100 and that is 93.75%

Please help I have been struggling

Answers

Answer:

f(8)=69

Step-by-step explanation:

f(X)= -3 (-3x) -3

f(8)= -3 (-3(8)) -3

= -3 (-24) -3

= 72-3

=69

JJ’s lunch costs $13. There is a 8% tip. What was the final amount?

Answers

Answer:

$1.04

Step-by-step explanation:

8% of 13 is 1.04

Answer:

$14.04

Step-by-step explanation:

Could you mark me brainliest?

solve the system using substitution: 4x+3y=23 and x-5y=0

Answers

Answer:

4x+3y-23=0

Step-by-step explanation:

4x+3y-23=23-23

4x+3y-23=0

Question, Frank is wanting to create a scale model of the Eiffel Tower. the real Eiffel Tower is 984 feet tall and 328 feet wide at its base. If Frank's model is 15 inches tall, how wide (in inches) must his scale model be?

Answers

Answer:

Step-by-step explanation:

x−115=223
Please help

Answers

Answer:

338

Step-by-step explanation:

X - 115 = 223

Add 115 to both the sides

X - 115 + 115 = 223 + 115

x = 338

Answer:

338

Step-by-step explanation:

x - 115 =223

Collect terms

x = 223 + 115

x = 338

Hope this helps you!

pls mark as brainlest ans

Bye!

Joes account was 1 more than one half of Chandras account. The sum of their accounts was $751. Find the amount of Joes account

Answers

Answer:

251$

Step-by-step explanation:

Let's say x represents Joes's account.

And y represents Chandra.

Since Joses account was 1 more than one half of chandra, the amount for Joes would be x = 1/2*y + 1

Now we can just say y = Chandra's amount.

So x + y = 751

And x = 1/2*y + 1

We have a systems of equation, and just plug in 1/2*y + 1 for x.

1/2*y + 1 + y = 751

1/2*y + y = 750 (subtract both sides by 1)

distribute y so...

y(1/2 + 1) = 750

y = 750/1.5

y = 500

Remember, y is Chandra. So plug in 500 for y in Joses equation, so 1/2(500) +

is 250 +1 so 251.

9. If a car travels 65 kilometers in 25 minutes, what is its speed in miles per hour? (1.6 km = 1 mile)

Answers

There you go hope this helps

9. If a car travels 65 kilometers in 25 minutes, what is its speed in miles per hour? (1.6 km = 1 mile)

Use the shape to answer the question.
5 m
9 m
4 m
4 m
What is the area of the figure?

PLEASE HELPPP

Answers

Answer:

try trapezoid

Step-by-step explanation:

I need help pleaseee

Answers

Answer:

its too small, i cant read it, sorry

Step-by-step explanation:

Amy wants to put 18" stones around her circular fire pit. The fire pit has a diameter of 4 feet. How many stones are needed?

Answers

The circumference of the circle shows that the number of stones needed will be 13.

How to calculate the circumference of the circle?

To calculate the value of the circumference of the circle, we use the formula C = 2πr, where r is the radius of the circle, and π is a constant l.It should be noted that the circumference of a circle is calculated by using the formula:

$= 2\pi r\\= 2 * 3.142 * (4/2)\\= 12.568\\= 13$

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Please help me thankss

Answers

Answer:

$m = \frac{ - 6 - ( - 4)}{ - 2 - ( - 5)} = - \frac{2}{3} $

What is the midpoint between (-4,4),(-2,2)
(1 Point)
a)(3,2)
b)(-3,3)
c)(4,5)
d)(6,7)

Answers

the answer is b (-3,3)

Graph the inequality on a separate sheet of paper. Then explain how you would determine if(-1,-4) is a solution by
looking at the graph.

Answers

Step-by-step explanation:

Looking at the graph, if you plot the point (-1,-4) you'll see that the point is on the area(red one, in the graph I attached) the graph covers, you can also put x=-1 and y=-1 to check if it's true or not

Find cosif sin = is in the third quadrant.035OA. -OB.OC. 20OD.Reset Selection-

Answers

ANSWER

$A.\text{ }-\frac{4}{5}$

EXPLANATION

We want to find the value of cosθ for:

$\sin\theta=-\frac{3}{5}$

We are given that θ is in the third quadrant. This implies that it is between 180° and 270°.

First, we have to find the value of θ:

$\begin{gathered} θ=\sin^{-1}(-\frac{3}{5}) \\ \\ θ=-36.87\degree\text{ or }216.87\degree \end{gathered}$

Since θ is in the third quadrant, it implies that:

$θ=216.87\degree$

Now, find the value of cosθ:

$\cos(216.87)=-0.8=-\frac{4}{5}$

The answer is option A.

How does binomial formula work?

Answers

Binomial Formula P(X) = nCx px(1-p)n-x where,

nCx represents is the total number of successes.

where p is the success likelihood.

What is binomial formula?

The probability of obtaining x successes in the n trials of the independent binomial experiment is calculated using the binomial distribution formula. The probability is calculated by adding the quantity of trials. The first thing nCx represents is the total number of successes.

P(X) = nCx px(1-p)n-x.

where p is the success likelihood

The nCx formula, which is nothing more than a combination formula, is employed in the equation above. nCx = n! / x! (n-x) is the combination calculation formula. where n is the quantity of items (independent trials) and x denotes the number of items selected at once (successes).

The Bernoulli distribution is the one that exists when n=1 is distributed binomially. A binomial distribution's mean value is np. The binomial distribution's standard deviation is np (1-p).

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if the size of a sample randomly selected from a population is increased from 100 to 400, then the standard deviation of the sampling distribution of the sample proportion will: decrease remain the same increase

Answers

As n increases, the denominator increases, causing the standard deviation to decrease.

Assuming that the sample is selected randomly and independently from the population, the standard deviation of the sampling distribution of the sample proportion will decrease as the sample size is increased from 100 to 400.

This is because as the sample size increases, the sample proportion becomes a more accurate estimate of the population proportion, and the variability or dispersion of the sample proportion around the true population proportion decreases. This can be seen mathematically using the formula for the standard deviation of the sampling distribution of the sample proportion, which is:

σp = sqrt[p(1-p) / n]

where p is the population proportion and n is the sample size. As n increases, the denominator increases, causing the standard deviation to decrease.

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Mia is taller than Gage. If m represents Mia’s height and g represents Gages hight write an inequity that shows the relationship between their heights. Answer plsssssssss

Answers

The inequality that shows the relationship between thier heights is; g < r or r > g

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Now we have the following parameters that can be used in our computation:

Reese is taller than Gage.

Also, we have

Reeses's height = r

Gage's height = g

Since Reese is taller than Gage, then it means that

The value of r is greater than the value of g

So, we have the following inequality expression;

r > g

Also, we have;

g < r

Hence, the inequality is g < r