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A student made a mistake when measuring the volume of a big container. He found the volume to be 75 liters. However, the real value for the volume is 50 liters. What is the percent error?​

The required solution to the given expression is 3 which is determined by the division operation.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

To determine the evaluation of expression 4 ÷ 4/3

When considering multiplying the fractions together, After that, you would multiply the denominator across and the numerator across, respectively. Your final answer should be 12/4 However, if you simplify it by 4, your final answer will be 3.

Thus, the required solution to the given expression is 3.

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Answer:

e

Step-by-step explanation:

We have to order the numbers:

The ones that are not clear enough are the square root of 47 and 20/3.

We calculate them and we have:

Then, we can order now from least to greatest as:

Answer:

I will help

Step-by-step explanation:

Answer:

Fourth option

Step-by-step explanation:

Cause and effect all starts with a reason for a certain event, for example perhaps a group of children going into an abandoned house that is rumored to be "haunted", which caused an effect. So, in this case the children going into an abandoned house that is rumored to be haunted (cause) which then lead into a result, a ghost started to chase them around the house in till they could manage an escape. (effect) Although creating a very good story for us to read, cause and effect has real life examples. The answer is the fourth option or "it presents the reasons something happened and describes the result."

Hope this helps.

The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is

5y + 2(3y − 1) = 12 y − (y + 2)

The number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side

The comparison will show the number that can fit in the blank

Simplifying the equation at the left hand side of the equation

= 5y + 2(3y − 1)

= 5y + 6y − 2

= 11y - 2

Simplifying the equation at the right hand side of the equation

=  ⬜y − (y + 2)

let x represent the missing number

=  xy − (y + 2)

=  xy − y - 2

comparing both equations

11y - 2 =  xy − y - 2

11y =  xy − y

11y + y =  xy

12y = xy

x = 12

The missing value = 12

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1. The velocity at time t , v(t) = (18t² + 3 ) m/s

2. The velocity at time t = 3 seconds = 165 m/s

3. The acceleration at time t, a(t) =( 36t )m/s²

4. The acceleration at time t = 3 seconds = 108 m/s²

The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity.

Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.

1. s(t) = 6t³ + 3t +9

to find the velocity at time t, we differentiate s(t)

= 18t² + 3

2. at t = 3s

= 18(3)² +3

= 165 m/s²

3. v(t) = 18t² + 3

to get the acceleration at time t, we differentiate v(t)

= 36t

4. when t = 3

a = 36 × 3

= 108 m/s²

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Answer:

Circle

Step-by-step explanation:

Answer:

It is a circle

Step-by-step explanation:

I am really sorry if I am being rude but I have to ask. It's says that you are in collage, so how can you not know something as simple as this?

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Given the Definite Integral:

You can identify that the interval is:

By definition, if the function is continuous and positive in a closed interval, then:

In this case, you can identify that the function is:

You can graph it using a graphic tool:

Since the closed interval goes from 0 to 1, you need to find this area:

You can identify that you have to find the area of a quarter circle. In order to do it, you can use this formula:

Where "r" is the radius of the circle.

In this case, you can identify that:

Therefore, you get:

Then:

Hence, the answer is: Option D.

Answer:

13 ft

Step-by-step explanation:

8(13.3) + 2(23.8) + 12.3 = 166.3

179.3 - 166.3 = 13

The value of distance AB is 187.5 units

Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other.

sine rule can be expressed as;

a/sinA = b/sinB = c/sinC

The opposite side to angle A is BC

the opposite side to angle C is AB

therefore;

A = 180-( 117 +24)

A = 180- 141

A = 39°

290/sin 39 = x/ sin24

xsin39 = 290 × sin24

0.629x = 117.95

x = 117.95/0.629

x = 187.5

therefore the distance AB is 187.5

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Answer:

36

Step-by-step explanation:

4y+8y=12y

y=3

12y=36

Answer: dont you have the numbers on the side

Step-by-step explanation:

Answer:

11. x=18, y=5

12. x=17, y=9

Step-by-step explanation:

Use the angle property https://www.proprofs.com/quiz-school/story.php?title=angle-properties-parallel-lines (REFER TO THIS LINK)

Answer:

2229 thanks, merry early Christmas

Answer:

87

Step-by-step explanation:

There were approximately 6056 no votes.

Let's assume the number of yes votes is represented by the variable "5x," where x is a positive constant.

Similarly, the number of no votes can be represented by "8x" since the ratio of yes votes to no votes is 5 to 8.

The total number of votes is given as 9854, so we can set up the following equation:

\(5x + 8x = 9854\)

Combining like terms, we have:

\(13x = 9854\)

To solve for x, we divide both sides of the equation by 13:

\(x = \frac{9854 }{13}\)

\(x \approx 757.23\)

Since x represents a positive constant, we round it to the nearest whole number, giving us x = 757.

Now, we can find the number of no votes by multiplying x by the ratio of no votes:

No votes \(= 8x\)

\(= 8 \times 757\)

\(= 6056\)

Therefore, there were approximately 6056 no votes.

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The linear program shows that there are different attainable arrangements that accomplish the same ideal objective function value..

Based on the given data, since the objective function values at the five corner points are diverse, able to conclude that there's no one-of-a-kind ideal arrangement for this linear program.

The reality that there are numerous distinctive objective function values at the corner points suggests that there are numerous ideal arrangements or that the objective work isn't maximized or minimized at any of the corner points.

In this case, the linear program may have numerous ideal arrangements, showing that there are different attainable arrangements that accomplish the same ideal objective function value.

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To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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Answer:

It's the second graph, I circled it in blue

Answer:

\(\boxed{\textsf{y = 3}}\)

Step-by-step explanation:

\(\textsf{We are asked to solve for y.}\)

\(\textsf{We should begin by \underline{simplifying} the equation.}\)

\(\textsf{First, begin by dividing 750 from \underline{both sides} of the equation.}\\\)

\(\Large\underline{\textsf{Divide:}}\)

\(\mathtt{\frac{162000}{750} = \frac{750 \times 6^y}{750} .}\)

\(\mathtt{216=6^y}\)

\(\Large\underline{\textsf{Continue Dividing By 6:}}\)

\(\mathtt{\frac{216}{6} = 36 (^{y-1})}\)

\(\mathtt{\frac{36}{6} = 6 (^{y-2} )}\)

\(\Large\underline{\textsf{Identify y:}}\)

\(\mathtt{6^1 = 6. \ 6^{1+2} = 216. \ (6^3)}\)

\(\boxed{\textsf{y = 3}}\)

a) James have to invest 5,248 dollar and 89 cent to earn $7,592 amount of interest in 16 years .

b) Principal amount of money , which is to be invested is 4158 dollar and 46 cent .

This is a problem from  simple interest system. We have to use the given formula, I = p.r.t to solve this problem.

a) James wants to have earned $7,592 amount of interest in 16 years. So, here the time period is 16 years and the interest rate is 9.04% and we have to find the principal amount.

I = p. 16. ( 9.04% )

Amount of interest = $ 7592

Time period = 16 years

rate of interest = 9.04 %

7592 = p . 16 . ( 904/10000 )

p = 75920000/ 16 . 904

or , p = $5,248.89 ≈ $5249

James have to invest $5,248.89 to earn $7,592 amount of interest in 16 years .

b) We have to use the given formula to find the value of p or the principal amount of money .

Rate of interest = 8.63% or .0863

time period = 24 years

Interest = $8613

We can write ,

p = I / r.t

p = 8613 / 24 . ( .0863 ) = $ 4,158.458 = $ 4,158.46

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The value of Sin(90) is equal to 1.

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: Sin(90) and to find the value using the unit circle

Rotate ‘r’ anticlockwise to form a 90° angle with the positive x-axis.

The sin of 90 degrees equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r.

The value of sin 90 degrees can be calculated by constructing an angle of 90° with the x-axis, and then finding the coordinates of the corresponding point (0, 1) on the unit circle. The value of sin 90° is equal to the y-coordinate (1). ∴ sin 90° = 1.

Hence, Sin (90) is equal to 1.

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The graph first, and the graph fifth have no solution because there are no intersection options (A) and (E) are correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The graph of equations is shown in the graph.

As we know, if two equations of a function intersect on the coordinate plane that means they have a solution.

If there will be no intersection then the equations have no solution.

Thus, the graph first, and the graph fifth have no solution because there are no intersection options (A) and (E) are correct.

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Answer:

Pretty sure it's 9.75

Step-by-step explanation:

39.00 divided by 4 = 9.75