Olivia and her friends went to a movie at 1:50 P.M. The movie ended at 4:10 P.M. How long was the movie?

Answer:

4320

Step-by-step explanation:

V = 2x^3 + 6x^2

x = 12

V = 2(12^3) + 6(12^2)

V = 2(1728) + 6(144)

V = 3456 + 864

V = 4320

Answer:

Step-by-step explanation:

Volume formula for prism:

Area of base:

Volume of prism is:

If x = 12, then the value of V is:

The total number of points scored by the other 7 team members in Euclid high school's last basketball game is 11.

For the given question.

Let 't' be the total points scored.

Alexa = 1/4 t.

Brittany = 2/7 t

Chelsea = 15

Let 'x' be the points scored by remaining 7 team.

Thus, the two variable equation becomes.

1/4 t +  2/7 t + 15 + x = t   .....eq 1

Where, x ≤ 14 ( for 7 terams)

Simplifying eq 1.

15 + x = 13/ 28 t

28x + 28 = 13 t

Now, t must be divisible by 28.

Let t = 28 u, u ≥ 0 and divisible by 28.

Thus,

x + 15 = 13u.

Then, u = 2( t = 56) has been the only candidates for which x = 11.

Thus, the total number of points scored by the other 7 team members is 11.

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Answer:

sqrt(30)+sqrt(50) = 12.5482933869171364     which is between   m and n    12 and 13

The expected number of defective calculators produced that day is 48.

When a product doesn't meet the quality objective or results in a non-compliant situation, it is considered to be faulty. Based on the total observed items as well as the defective products, you may determine the defective rate. To compute the defect rate on your own, use the following formula. Divide the total number of faulty items by the total number of observed products using the formula. To find the defect rate %, multiply the result by 100.

r = (p / o) × 100

r being the defect rate

P stands for defective goods, and O for all observed goods.

O = P*r = 1600 * 3% = 48

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The analyst should use the alpha aesthetic. The alpha aesthetic makes some points on a plot more transparent than others to call out specific data points.

A set of points plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of correlation, if any, between the values of observed quantities or phenomena, scatter plots are crucial in statistics (called variables). In an effort to demonstrate the degree to which one variable is influenced by another, scatter plots are used to plot data points on a horizontal and vertical axis. The values of the columns set on the X and Y axes determine the position of the marker that represents each row in the data table.

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To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Answer and Step-by-step explanation:

We are not given the function in question, but in order to explain, will form a function. Suppose f(x) = 3x + 2.

If f(x) = 17, then

3x + 2 = 17, to find the value of x, we have solve for x in the equation.

3x = 17 – 2

3x = 15

x = 5

This is the method that can be used to solve problems of this nature.

9% of 89

\( \frac{9}{100} \times 89\)

801/100

= 8.01

Answer:

Step-by-step explanation:

if the faster hose is ten minutes faster and both together only takes 12 minutes then the secound one by it self should take 22 mins. i think im not sure tho

Answer:

Option 4

Step-by-step explanation:

2x² + 32 = 0

2x² = -32

x² = -16

sqrt(-16) got no real solution. (no real number multiplied by itself will be negative)

what happend to u other acc?

Step-by-step explanation:

Answer:

2.4077461e+20

Step-by-step explanation:

thats what goolge calcualtior said. Plz mark me the brainlist

The total distance covered by Zachary is found using Pythagoras Theorem, which is 17.39 miles.

What is Pythagoras Theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

To find the total distance Zachary walked, we need to add up the distance from his home to Ian's house, the distance from Dustin's house back to his home, and the distance they walked through the field. We can use the Pythagorean theorem to find the distance they walked through the field, since they cut directly through it.

Let's call the distance they walked through the field d.

Then we have the equation -

d² = (5 miles)² + (2 miles)²

d² = 25 + 4

d² = 29

d ≈ 5.39 miles

So, Zachary walked a total distance of -

2 miles (from home to Dustin's) + 5 miles (from home to Ian's) + 5.39 miles (through the field) + 5 miles (from Dustin's back home) = 17.39 miles

Therefore, Zachary walked a total distance of approximately 17.39 miles.

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The number that should be added to the polynomial 2x³ - 3x² - 8x is 12x

When a polynomial is divided by a linear factor, the remainder is equal to the constant term of the polynomial multiplied by the reciprocal of the linear factor.

In this case, the polynomial is 2x³ - 3x² - 8x, and the linear factor is 2x-1.

To find the remainder when this polynomial is divided by 2x-1, we need to multiply the constant term of the polynomial, which is -8, by the reciprocal of 2x-1, which is 1/(2x-1).

So the remainder should be -8*(1/(2x-1)) = -8/(2x-1) = -4/(x-0.5)

To make the remainder 12, we will add 12x to the polynomial so that the new constant term is 12.

The polynomial 2x³ - 3x² - 8x + 12x will have a remainder of 12 when divided by 2x-1.

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The convergence set of the given power series is the set of all values of x in the interval (-|x-7|, |x-7|).

In order to determine the convergence set of the given power series, we can use the ratio test.

The ratio test states that if the limit as n goes to infinity of the absolute value of aₙ₊₁ / aₙ is less than 1, then the series converges for all x in the interval (-R, R) where R is the reciprocal of the limit.

The given power series is:

sigma n = 1 to infinity (17/ (n² + 5n))×(x - 7)ⁿ

We can apply the ratio test as follows:

aₙ₊₁ / aₙ = |(17/(n+1)² + 5(n+1))×(x - 7)⁽ⁿ⁺¹⁾ | / |(17/ (n² + 5n))×(x - 7)ⁿ|

aₙ₊₁ / aₙ = |(17/(n+1)² + 5(n+1))/(n² + 5n) × |(x - 7)|⁽ⁿ⁺¹⁾ | / |(x - 7)|ⁿ

As we can see the limit as n goes to infinity of the absolute value of

aₙ₊₁ / aₙ = |(x - 7)|

Let R = |x - 7|, therefore, the series converges for all x in the interval (-R, R)

So the series converges for all values of x in the interval (-|x-7|, |x-7|).

--The given question is incomplete, answering to the question below--

"Determine the convergence set of the given power series.

sigma n = 1 to infinity ( 17/ (n² + 5n))×(x - 7)ⁿ"

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Answer:

tough

Step-by-step explanation:

1. The total distance of the race is 44 miles. 2. There are 13 female senators and 71 female members of the House of Representatives in Congress. Jane will pay $387.50 per month.

1. We are given that Mark ran half the distance and swam a quarter of the distance before starting to bike the remaining 11 miles. Let's represent the total distance of the race as "D."

The distance Mark ran is half of D, so it is D/2.

The distance Mark swam is a quarter of D, so it is D/4.

After Mark's break, he started biking the remaining 11 miles.

Since the total distance of the race is the sum of the distances Mark ran, swam, and biked, we can set up the following equation:

D/2 + D/4 + 11 = D

To solve for D, we can simplify the equation and solve for D:

Multiply the equation by the common denominator, which is 4:

2D + D + 44 = 4D

3D + 44 = 4D

Subtract 3D from both sides:

44 = D

Therefore, the total distance of the race is 44 miles.

2. In the second problem, we are given that there are 84 female officials in Congress, and the number of female members of the House of Representatives is 58 more than the number of female senators. Let's represent the number of female senators as "S" and the number of female members of the House of Representatives as "H."

We are given that the total number of female officials is 84, so we can write the equation:

S + H = 84

We are also given that the number of female members of the House of Representatives is 58 more than the number of female senators:

H = S + 58

To solve for the values of S and H, we can substitute the second equation into the first equation:

S + (S + 58) = 84

2S + 58 = 84

Subtract 58 from both sides:

2S = 26

Divide both sides by 2:

S = 13

Substitute the value of S back into the equation for H:

H = 13 + 58

H = 71

Therefore, there are 13 female senators and 71 female members of the House of Representatives in Congress.

3. In the third problem, Jane and her two friends will rent an apartment for $775 a month, but Jane will pay double what each friend does because she will have her own bedroom. Let's represent the amount each friend pays as "F" and the amount Jane pays as "J."

We are given that Jane will pay double what each friend pays, so we can write the equation:

J = 2F

The total amount they will pay is $775, so we can write the equation:

F + F + J = 775

Substituting the value of J from the first equation into the second equation:

F + F + 2F = 775

4F = 775

Divide both sides by 4:

F = 193.75

Substitute the value of F back into the equation for J:

J = 2(193.75)

J = 387.50

Therefore, Jane will pay $387.50 per month.

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The sampling process used on dollar street is stratified sampling.

Given,

Use of dollar street;

Dollar street offers a fresh perspective on families all throughout the world. Every family is arranged down a street, with the wealthiest household on the right and the lowest on the left. Each family's earnings are expressed in US dollars.

Here,

Stratified sampling;

To complete the sampling process, stratified sampling is a form of sampling technique in which the entire population is divided into smaller groups or strata.

Therefore,

Stratified sampling is used in dollar street for sampling process.

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Both cases lead to a contradiction, we conclude that L is not a regular language.

To show that the language L = {x ∈ {0,1} ∗ | ∃i ∈ i : x = 10^i10^i1 ∧ i > 0} is not a regular language, we can use the pumping lemma for regular languages.

Assume, for the sake of contradiction, that L is a regular language. Then, there exists a positive integer p (the pumping length) such that any string x ∈ L with length |x| ≥ p can be written as x = uvw, where:

|uv| ≤ p

|v| ≥ 1

uv^k w ∈ L for all k ≥ 0

Let x = 10^p10^p1 ∈ L. Since |x| = 2p+2 ≥ p, by the pumping lemma, we can write x = uvw such that:

|uv| ≤ p

|v| ≥ 1

uv^k w ∈ L for all k ≥ 0

Consider two cases:

Case 1: v contains only 0s.

In this case, we can pump v by setting k = 0, which gives us the string uv^0w = u w. Since v contains only 0s, the number of 0s before the first 1 in u is the same as the number of 0s after the second 1 in w. However, in the pumped string uw, these two numbers will no longer be equal, so uw ∉ L. This contradicts the pumping lemma, and so L cannot be a regular language.

Case 2: v contains at least one 1.

In this case, we can pump v by setting k = 2, which gives us the string uv^2w = 10^p10^p1...10^p10^p1, where the ellipsis indicates that there may be additional 0s and 1s in w. However, in this pumped string, the number of 0s between the two 1s is larger than the number of 0s before the first 1, and also larger than the number of 0s after the second 1. Therefore, uv^2w ∉ L, which again contradicts the pumping lemma.

Since both cases lead to a contradiction, we conclude that L is not a regular language

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To find the dimensions of the largest room that can be built with a fixed perimeter of 600 feet.

We need to divide the perimeter by 2 and use that as the sum of two adjacent sides. Let's call the length of the rectangle "l" and the width "w".
So we have:  2l + 2w = 600
Simplifying:  l + w = 300
We want to maximize the area of the rectangle, which is given by:  A = lw
We can solve for one variable in terms of the other:  l = 300 - w
Substituting into the area equation:
A = (300 - w)w
A = 300w - w^2
To maximize the area, we need to find the value of w that makes the derivative of A with respect to w equal to 0:  dA/dw = 300 - 2w = 0
w = 150
So the width of the rectangle is 150 feet. Substituting back into the perimeter equation: l + 150 = 300
l = 150
So the length of the rectangle is also 150 feet.
Therefore, the largest room that can be built has dimensions 150 ft by 150 ft, and its area is:  A = lw = 150 * 150 = 22,500 ft^2
The dimensions of the largest rectangular room a carpenter can build with a fixed perimeter of 600 feet are 150 ft by 150 ft. The area of this room is 22,500 ft². This is because when the length and width are equal, the area of the rectangle is maximized.

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Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.

Quadratics representing repeated roots has discriminant equals to zero.

Standard quadratic equation is:

ax² + bx + c = 0

Discriminant 'D' = b² - 4ac

option a. -x²+ 18x + 81

Discriminant

'D' = 18² - 4(-1)(81)

      = 324 + 324

      = 648

D>0 has distinct roots.

option b. 3x²- 3x - 168

Discriminant

'D' = (-3)² - 4(-3)(-168)

      = 9 - 2016

      = -2007

D< 0 has distinct roots.

option c. x²- 4x -  4

Discriminant

'D' = (-4)² - 4(1)(-4)

      = 16 + 16

      = 32

D>0 has distinct roots.

option d. 25x²- 30x + 9

Discriminant

'D' = (-30)² - 4(25)(9)

      = 900 - 900

      = 0

D = 0 has repeated roots.

Repeated roots are:

x = ( -b ±√D ) / 2a

  = [-(-30)±√0 ]/ 2(25)

  = 30/ 50

  = 3/5.

option e.  x² - 14x + 24

Discriminant

'D' = (-14)² - 4(1)(24)

      = 196 - 96

      = 100

D>0 has distinct roots.

Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.

The above question is incomplete, the complete question is:

One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?

a. -x²+ 18x + 81

b. 3x² - 3x - 168

c. x² - 4x - 4

d. 25x² - 30x + 9

e. x² - 14x + 24

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Nominal, ordinal, interval, and ratio scales are four levels of measurement used in statistics and research to classify variables.

The lowest level of measurement is known as the nominal scale. Without any consideration of numbers or numbers of any kind, it divides variables into different categories or groups. Data on this scale are qualitative and can only be classified and given names.

In addition to the naming or categorizing offered by the nominal scale, the ordinal scale offers an ordering or ranking of categories. Although the variances between data points may not be constant or quantitative, their relative order or location is significant.

The interval scale has the same characteristics as both nominal and ordinal scales, but it also includes equal distances between data points, making it possible to measure differences between them in a way that is meaningful. The distance or interval between any two consecutive data points on this scale is constant and measurable. It lacks a real zero point, though.

The highest level of measuring is the ratio scale. It has a real zero point and all the characteristics of the nominal, ordinal, and interval scales. On this scale, ratios between the data points as well as differences between them can be measured.

These four scales form a hierarchy, with nominal being the least informative and ratio being the most informative.

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a) Margine of error for the proportion of all U.S. adults who think things are on the wrong track for 95% confidence is 0.019.

b) Correct answer is B. One is 95% confident that the observed proportion of adults that responded "Wrong Track" is within ±0.019 of the population proportion.

a) To calculate the margin of error for the proportion of all U.S. adults who think things are on the wrong track for 95% confidence, we can use the following formula:

ME = z√((p(1-p))/n)

Where:

z = the z-score associated with the desired level of confidence (in this case, 1.96 for 95% confidence)

p = the proportion of adults in the sample who said things are on the wrong track

n = the sample size

Using the percentages provided in the question, we can calculate the sample proportion:

p = % of adults who said things are on the wrong track / 100

p = % / 100 = %

So, p =

We don't have the sample size, but we can assume it's large enough (at least 30) to use the normal distribution approximation. Therefore, we can use the percentages directly to calculate the margin of error:

ME = 1.96√((0.490.51)/n)

ME = 1.96√(0.2499/n)

ME = 1.96(0.499/n¹/²)

ME = 0.019

Hence the margine of error is 0.019.

b) The margin of error means that if we were to conduct the same survey many times and calculate a 95% confidence interval for the proportion of all U.S. adults who think things are on the wrong track using each sample, we would expect the true population proportion to be within ±0.019 of the sample proportion in 95% of the intervals.

Therefore, the correct answer is B. One is 95% confident that the observed proportion of adults that responded "Wrong Track" is within ±0.019 of the population proportion.

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Therefore, the equation of the line passing through (-3, -5) and parallel to the line 2x + 3y = 15, in slope-intercept form, is y = (-2/3)x - 7.

To find the equation of a line parallel to the line 2x + 3y = 15 and passing through the point (-3, -5), we need to determine the slope of the given line and use it to construct the equation in slope-intercept form (y = mx + b).

The given line is in the form Ax + By = C, where A = 2, B = 3, and C = 15. To find the slope of this line, we can rearrange the equation to isolate y:

2x + 3y = 15

3y = -2x + 15

y = (-2/3)x + 5

The slope of the given line is -2/3.

Since the line we want to find is parallel to this line, it will have the same slope. Therefore, the slope of the line passing through (-3, -5) will also be -2/3.

Now, we can use the point-slope form of a linear equation to write the equation of the line:

y - y1 = m(x - x1)

Substituting the values of (-3, -5) and -2/3 for (x1, y1) and m, respectively:

y - (-5) = (-2/3)(x - (-3))

y + 5 = (-2/3)(x + 3)

To convert this equation into slope-intercept form, we can simplify and rearrange:

y + 5 = (-2/3)x - 2

y = (-2/3)x - 2 - 5

y = (-2/3)x - 7

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The midpoint rule is an overestimate.

This is because the midpoint rule is a form of numerical integration which approximates the area under a curve by summing the areas of rectangles that are divided into equal intervals. These rectangles are centered on the midpoints of the intervals.

Because the rectangles are centered on the midpoints instead of the endpoints of each interval, the midpoint rule overestimates the area under the curve as the rectangles are wider than the intervals.

This means that the midpoint rule produces a larger area than the exact area under the curve. This is why the midpoint rule is an overestimate.

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The midpoint rule is an overestimate of the definite integral. The midpoint rule is a numerical integration method used to approximate the definite integral of a function.

It works by dividing the interval of integration into smaller subintervals and approximating the integral by summing the areas of rectangles whose heights are determined by the function evaluated at the midpoint of each subinterval.

Since the rectangles in the midpoint rule are taller at the midpoint and shorter at the endpoints, this method generally overestimates the true area under the curve. However, if the function is well-behaved and the subintervals are small enough, the error between the midpoint rule approximation and the true definite integral can be made arbitrarily small.

In conclusion, the midpoint rule is an overestimate of the definite integral, but the error can be made small by using smaller subintervals.

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The length of segment TU is given as follows:

TU = 24 units.

The length of segment TU is obtained applying the trapezoid midsegment theorem, which states that the length of the midsegment of the trapezoid is equals to the mean of the length of the bases of the trapezoid.

The parameters for this problem are given as follows:

Hence the length of TU is obtained as follows:

36 = (x + 48)/2

x + 48 = 72

x = 24.

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Answer:

John:Peter: Mary

$48:$96:$216

Step-by-step explanation:

john: Peter: Mary

2:4:9

so add 2+4+9=15

John

$360 ÷ 15 × 2 = $48

Peter

$360 ÷ 15 × 4 = $96

Mary

$360 ÷ 15 × 9 = $216

The number of women working for the company is 161 if the ratio of men to women working for a company is 5:7.

The ratio of men to women working for a company is 5:7

Let 5x be the total men and 7x be the total women working for the company:

Total employees  = 276

5x + 7x = 276

12x = 276

x =276/12

x = 23

Total men = 5x = 5(23) = 115

Total women = 7x = 7(23) = 161

Thus, the number of women working for the company is 161 if the ratio of men to women working for a company is 5:7.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.

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