At the end of an amusement park ride, a boat lands in a pool, splashing out a lot of water. Three inlet pipes, each working alone, can fill the pool in 8 seconds, 12 seconds, and 16 seconds, respectively. How long would it take to fill the pool if all three inlet pipes are used?

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

The correct option for the given question is c) lim x→a¯ f(x) = f(a) when the function f(x) is said to have jump discontinuity at a point x=a.

Jump continuity is a concept in calculus that describes the behaviour of a function at a specific point where the function jumps from one value to another value without any intermediate values. In other words, a function is considered jump continuous at a point if the function approaches a finite limit from both the left and right sides of that point, but the function values on the left and right sides of the point are not equal.

According to the given information:

The correct notation for the left-hand limit as x approaches a from the left side is lim x→a¯, where the horizontal line above the "a" indicates approaching from the left side.

The statement "lim x→a¯ f(x) = f(a)" means that the limit of f(x) as x approaches a from the left side is equal to the value of f(a) at x = a. This indicates that the function f(x) has a jump discontinuity at x = a, where the function jumps from one value to another value at that specific point.

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Answer:

67500 bottles

Step-by-step explanation:

The rate of use of water bottles is 45000bottles/30sec

the unit rate of use of water bottles is 1500bottles/1sec

multiply by 45 to get the number of bottles used in 45 seconds

1500/1sec *45sec=67500 bottles

Answer:

4, 7.5, 8.54,7.5,8.5

Step-by-step explanation:

We can use the Pythagorean Theorem to see if the side lengths will form a right triangle.

The equation for the Pythagorean Theorem is

a^2 + b^2 = c^2a  

2

+b  

2

=c  

2

a, squared, plus, b, squared, equals, c, squared

where aaa and bbb are the lengths of the two legs of the triangle, and ccc is the length of the hypotenuse.

[How can I tell which side is the hypotenuse?]

Hint #22 / 5

Let's check each set of numbers:

\begin{aligned} a^2 + b^2 &= c^2 \\\\ 4^2 +\sqrt8^2 &\stackrel{\large?}{=} 24^2 \\\\ 16 + 8&\stackrel{\large?}{=} 576\\\\ 24&\neq 576\\\\ \end{aligned}  

a  

2

+b  

2

4  

2

+  

8

​  

2

16+8

24

​  

=c  

2

=

?

24  

2

=

?

576



​  

=576

​  

The side lengths 4, \sqrt8, 244,  

8

​  

,244, comma, square root of, 8, end square root, comma, 24 do not form a right triangle.

Hint #33 / 5

\begin{aligned} a^2 + b^2 &= c^2 \\\\ 5^2 + 5^2 &\stackrel{\large?}{=} 5^2 \\\\ 25+ 25&\stackrel{\large?}{=} 25\\\\ 50&\neq 25\\\\ \end{aligned}  

a  

2

+b  

2

5  

2

+5  

2

25+25

50

​  

=c  

2

=

?

5  

2

=

?

25



​  

=25

​  

The side lengths 5, 5, 55,5,55, comma, 5, comma, 5 do not form a right triangle.

Hint #44 / 5

\begin{aligned} a^2 + b^2 &= c^2 \\\\ 4^2 + 7.5^2 &\stackrel{\large?}{=} 8.5^2 \\\\ 16+ 56.25&\stackrel{\large?}{=} 72.25\\\\ 72.25&\stackrel{\checkmark}{=} 72.25\\\\ \end{aligned}  

a  

2

+b  

2

4  

2

+7.5  

2

16+56.25

72.25

​  

=c  

2

=

?

8.5  

2

=

?

72.25

=

✓

72.25

Answer:

4, 7.5, 8.5

Step-by-step explanation:

I had this question on Khan, and it was right (:

The expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

The amounts of packets of crisps purchased are given as follows:

The expression for the total number of packets of crisps that Jane buys is given by the addition of these two amounts.

Hence the expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

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Answer$67

Step-by-step explanation:

Answer:

A or B

Step-by-step explanation:

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer: 478,412

Step-by-step explanation:

In order to do this just take 2 million and subtract the number of chips you wanted to take away. For example, it'd be 2,000,00 - 1,521,588 which leaves you with 478,412.

Answer:

i THINK anyson earned 1742.4 a month in June but I’m a middle schooler so

Step-by-step explanation:

The internet

The equation of line H in fully simplified slope-intercept form is y = 15x + 10.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

First of all, we would find the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (40 - 10)/(2 - 0)

Slope (m) = 30/2

Slope (m) = 15.

At data point (0, 10) and a slope of 15, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 10 = 15(x - 0)

y = 15x + 10

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The temperature at 8:00 A.M. was 15°C.

Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.

We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C

3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.

Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C

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Answer:

716.85

Step-by-step explanation:

6.2 / 100 = 0.062

0.062 x 675 = 41.85

41.85 + 675 = 716.85

The total cost of the phone including taxes is $716.85.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the cost of the phone was $675 and the local tax rate is 6.2%.

The total cost will be calculated as,

6.2 / 100 = 0.062

0.062 x 675 = 41.85

41.85 + 675 = 716.85

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The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

What is probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

Based on the experiment described, a two-sample z-test for the difference in proportions was conducted to determine if there is a significant difference between the proportion of rats that succeeded in the maze after being given substance m and the proportion of rats in the control group that succeeded in the maze.

This suggests that the difference in proportions between the two groups is statistically significant at the 0.05 level of significance (since the p-value is less than 0.05).

In other words, the results of the experiment suggest that substance m may be effective in helping to restore memory, as a greater proportion of rats in the substance m group succeeded in the maze compared to the control group. However, it's important to note that further experiments and analyses would be necessary to confirm these findings and determine the extent of the effect of substance m on memory restoration.

Therefore, The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

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Answer:

Last option.

Step-by-step explanation:

Corresponding sides are in proportion.

JM is x², then 6² = 36

LM is x², then 8² = 64

Step-by-step explanation:

Step 1:  List out all of the formulas for the trigonometric functions

sin(x) = opposite/hypotenuse

cos(x) = adjacent/hypotenuse

tan(x) = opposite/adjacent

Step 2:  Find the following expression that has a value of 2/5

sin(B) = opposite/hypotenuse = ?/5 is FALSE

cos(B) = adjacent/hypotenuse = 2/5 is TRUE

tan(B) = opposite/adjacent = ?/2 is FALSE

Answer:  The correction expression that has a value of 2/5 is option B

Answer:

B is the correct option

Step-by-step explanation:

Answer:

19.6 in²

Step-by-step explanation:

area of circle = π r²

= π (3 1/2)²

= π (5/2)²

= π 25/4

= 22/7 x 25/4

= 275/14

=19.6 in²

Answer:

A). The ratio of a circle's circumference to its diameter

Step-by-step explanation:

Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.

To solve the nonlinear system of equations:

Equation 1: \(y = -x^2 + 7\)

Equation 2: y = 2x + 4

We can equate the right sides of both equations since they both represent y.

\(-x^2 + 7 = 2x + 4\)

To simplify the equation, we can rearrange it to be in the standard quadratic form:

\(x^2 + 2x - 3 = 0\)

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:

(x + 3)(x - 1) = 0

From this equation, we get two possible solutions:

x + 3 = 0 => x = -3

x - 1 = 0 => x = 1

Now, we substitute these x-values back into either equation to find the corresponding y-values.

For x = -3:

y = 2(-3) + 4

y = -6 + 4

y = -2

For x = 1:

y = 2(1) + 4

y = 2 + 4

y = 6

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The price of a new comic book at the store is 3.50

From the question, we are to determine the price of a new comic book at the store.

Let the price of a new comic book be x

From the given information,

"The store sell 3 new comic book for 10.50"

and

The store sells two vintage comic book for 7.80

If the store sells 3 new comic book for 10.50

Then,

The store will sell 1 new comic book for x

3 × x = 1 × 10.50

3x = 10.50

Divide both sides by 3

3x/3 = 10.50/3

x = 3.50

Hence, the price is 3.50

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Answer:157.5

Step-by-step explanation:becuase mutilpy 4.5x35 that equals 157.5

As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.

Probability serves as an indicator of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing an unlikely event and 1 representing an unavoidable event. Switching a fair coin and coin flips has a probability of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probability theory is a branch of mathematics that studies happenings rather than their properties. It is applied in many fields, including statistics, fund, science, and engineering.

The central limit theorem can be used to approximate the sample mean distribution as a normal distribution with a mean of the population mean and a standard deviation of the population standard deviation divided by the square root of the sample size.

The standard error of the mean (SE) is calculated as follows:

SE = σ/√n

Where n is the sample size and is the population standard deviation.

SE = 83/√160 = 6.575

Z = (X - μ) / SE

Where X represents the sample mean, is the population mean, and SE represents the standard error of the mean.

Z = (553.9 - 541) / 6.575 = 1.94

As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.

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The volume of the cylinder is 72π cubic centimeters.

Volume is a measure of the amount of space occupied by an object or a substance. It is typically measured in cubic units such as cubic meters, cubic centimeters, cubic feet, or cubic inches.

For solid objects, volume refers to the amount of space the object occupies in three-dimensional space.

The formula for the volume of a cylinder is:

V = Bh

where B is the area of the base of the cylinder, and h is the height of the cylinder.

In this problem, the cylinder has a diameter of 6 centimeters, which means the radius is 3 centimeters. The area of the base of the cylinder is therefore:

B = πr²

B = π(3 cm)²

B = 9π cm²

The height of the cylinder is given as 8 centimeters. Therefore, we can use the formula for the volume of a cylinder to find the volume V:

V = Bh

V = (9π cm²)(8 cm)

V = 72π cubic centimeters

Therefore, The volume of the cylinder is 72π cubic centimeters.

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Tip: Go to the internet and put the topic you are focused more on that you posted in Brainly

Step-by-step explanation:

Try it to give you some help

The equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

According to the question,

We have the following information:

Slope of the line = 1/3

We know that the slope of the line is denoted by m.

y-intercept of the line = -1

We know that the y-intercept is denoted by b.

We have the following equation for the line in slope-intercept form:

y = mx+b

Putting the above values in this equation:

y = x/3-1

Hence, the equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

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The probability that the sum of the two dice is less than 4 is 3/36, which simplifies to 1/12.

Dice probability refers to the likelihood of a certain outcome when rolling one or more dice. The probability of rolling a particular number on a fair six-sided die, for example, is 1 in 6 or approximately 16.67%. The probability of rolling any number from 1 to 6 on a single die is always the same since each face has an equal chance of landing face up.

Given by the question.

To finds the probability that the sum of the two dice is less than 4, we need to list all the possible outcomes when Cindy throws one red and one blue dice, and then count the number of outcomes that satisfy the condition.

Possible outcomes when throwing two dice:

Red Blue

1 1

1 2

1 3

1 4

1 5

1 6

2 1

2 2

2 3

2 4

2 5

2 6

3 1

3 2

3 3

3 4

3 5

3 6

4 1

4 2

4 3

4 4

4 5

4 6

5 1

5 2

5 3

5 4

5 5

5 6

6 1

6 2

6 3

6 4

6 5

6 6

There are 36 possible outcomes when throwing two dice.

Outcomes where the sum of the two dice is less than 4:

Red Blue

1 1

1 2

2 1

There are 3 outcomes where the sum of the two dice is less than 4.

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The theoretical probability of spinning red is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:

2/6 = 1/3.

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Answer:

25 units

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Point P (-10, 15)

Point T (15, 15)

Step 2: Find distance d