Of the students at I.S. 59, 230 signed up for the school picnic. That was 50% of all students in the school. How many students attend I.S. 59

The value of the iterated integral ∬Rf(x, y) dA= ∫-7^7 ∫-1^16xy^6 dx dy is 4116

The value of the iterated integral ∫1³ ∫2y^4-y y dx dy is 3/5.

1: Evaluate the double integral over the rectangular region R Given that the rectangular region R is

R = {(x, y): -1 ≤ x ≤ 1, -7 ≤ y ≤ 7}

and the integrand function is

f(x, y) = 6xy^6

The integral of the function f(x, y) over the rectangular region R can be expressed as:

∬Rf(x, y) dA= ∫-7^7 ∫-1^16xy^6 dxdy

= ∫-7^7 6y^6[∫-1^1 xdx]dy

= ∫-7^7 6y^6 [x^2/2]_{{-1}}^{{1}}dy

= ∫-7^7 6y^6 [(1/2) - (-1/2)]dy

= ∫-7^7 6y^6 dy

= 2 [6 (7^7)/7]

= 2 (6 (343))

= 4116

2: Evaluate the iterated integral. Given that the iterated integral is:

∫1³ ∫2y^4-y y dx dy

The limits of the inner integral with respect to x is 2y^(4 - y) ≤ x ≤ 1^3, whereas the limits of the outer integral with respect to y is 0 ≤ y ≤ 1. Now integrate the function f(x, y) = y with respect to x over the given limits, and then with respect to y, which gives,

∫1³ ∫2y^4-y y dx dy

= ∫0^1 ∫2y^4-y 1 dx dy

= ∫0^1 [x]_{{2y^4-y}}^{{1}} dy

= ∫0^1 (1 - 2y^4 + y) dy

= [y - (2/5)y^5 + (1/2)y^2]_{{0}}^{{1}}

= (1 - (2/5) + (1/2)) - 0

= 1/10 + 1/2

= 3/5

Therefore, the value of the iterated integral is 3/5.

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Answer:

3 2/3 cups

Step-by-step explanation:

1 1/3 for one recipe.

2/3 cups for the second recipe.

1 2/3 for the third recipe.

Add all of the amount of cups used to get the total amount of sugar used.

1 1/3 + 2/3 + 1 2/3 = 3 2/3

She used 3 2/3 cups of sugar in all.

hope this helps!! p.s. i really need brainliest :)

none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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For a uniformly distributed random variable, the correct statement is B: The probability distribution function is constant over the definition space.

A uniformly distributed random variable has a constant probability distribution function (PDF) over its definition space. This means that the probability of obtaining any value within the range of the variable is equal.

Statement A is incorrect because the expected value of a uniformly distributed random variable is not necessarily equal to 1. The expected value is calculated by taking the average of all possible values, and for a uniform distribution, it is equal to the average of the minimum and maximum values in the distribution.

Statement C is also incorrect because a uniformly distributed random variable does not have a probability density function (PDF) since it is a discrete distribution. Instead, it has a probability mass function (PMF), which assigns equal probabilities to each value in its definition space.

Statement D is incorrect because the probability density function (PDF) or probability mass function (PMF) of a uniformly distributed random variable takes on non-negative values since probabilities must be non-negative.

Therefore, the correct statement is B: The probability distribution function is constant over the definition space.

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A positive MDMA drug test does not necessarily mean guilt. The test has a 98% sensitivity rate and 89% specificity rate, which leaves an 11% chance of a false positive. A medical professional or drug testing expert should be consulted for further evaluation.

If the test comes back positive, it means that the test result indicates that MDMA or a copy of it was found in your friend's system. However, this test result does not necessarily mean that your friend is guilty of using MDMA, as there is a chance for a false positive result.

Based on the given information, we know that the test has a sensitivity of 98%, which means that 98% of people who have used MDMA or a copy of it within the past year will test positive. However, the test also has a specificity of 89%, which means that 89% of people who have not used MDMA or a copy of it within the past year will test negative.

This leaves a 11% chance of a false positive result, which means that there is a chance that your friend did not actually use MDMA or a copy of it, but tested positive due to other factors.

Therefore, it would be important for your friend to discuss the test results with a medical professional or a qualified drug testing expert to determine the possible reasons for a positive result and to explore any potential follow-up testing or treatment options.

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x=3

5x+3x-2=22

8x-2=22

8x=24

x=3

Answer: the answer is x

Step-by-step explanation:

5*x+3*x-2-(22)=0

Solve : 8 = 0

Solve : x-3 = 0

x = 3

Given:

To find length of BC,

Answer: the distance from the base of the lighthouse to the ship is 828.06 m

If the absolute value of your calculated t-statistic exceeds the critical value from the appropriate t-distribution, you can reject the null hypothesis.

In regression analysis, the t-statistic is used to test the significance of the regression coefficients. It measures how many standard errors the estimated coefficient is away from zero. To determine whether the coefficient is statistically significant, we compare the absolute value of the calculated t-statistic to the critical value from the t-distribution.

The critical value is based on the desired level of significance (usually denoted as alpha) and the degrees of freedom in the regression model. If the absolute value of the calculated t-statistic is greater than the critical value, it indicates that the coefficient is statistically significant at the chosen level of significance. This means that the coefficient is unlikely to be zero, and we can reject the null hypothesis that the coefficient is not significantly different from zero.

On the other hand, if the absolute value of the calculated t-statistic is less than the critical value, it suggests that the coefficient is not statistically significant, and we fail to reject the null hypothesis. This means that the coefficient may be zero or not significantly different from zero.

When the absolute value of the calculated t-statistic exceeds the critical value from the appropriate t-distribution, it indicates that the regression coefficient is statistically significant. This allows us to reject the null hypothesis and conclude that there is a significant relationship between the independent variable and the dependent variable.

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the final answer is 5,807 nickels to make a stack as tall as the Empire State Building.

To calculate the number of nickels required to make a stack as tall as the Empire State Building, we first need to convert the height of the building from feet to millimeters. Since 1 foot is equal to 304.8 millimeters, the height of the building in millimeters would be 381 x 304.8 = 11613.8 millimeters.

Next, we need to calculate the thickness of a single nickel in millimeters, which is 2 millimeters.

To find the number of nickels required, we divide the total height of the building (11613.8 millimeters) by the thickness of a single nickel (2 millimeters). This gives us a total of 5,806.9 nickels.

However, since we cannot have a fraction of a nickel, we need to round up to the nearest whole number. Therefore, the final answer is 5,807 nickels to make a stack as tall as the Empire State Building.

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Answer:

first second and fifth are the answers

The exact value of the volume of the solid is -62.5.

Consider the solid that lies above the square R = [0, 2] × [0, 2], and below the elliptic paraboloid z = 100 − x² − 4y².

(A) Estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the lower left-hand corners. Using the lower left corner method, we can estimate the volume by dividing R into 4 equal squares and then adding the volumes of the individual subintervals.$V_{(A)}=\sum_{i=1}^{2}\sum_{j=1}^{2} f(x_{i},y_{j})\Delta x \Delta y$$\Delta x=\frac{2-0}{2}=1$, $\Delta y=\frac{2-0}{2}=1$,$\therefore x_{i}=0+(i-1)\Delta x$ and $y_{j}=0+(j-1)\Delta y$

The lower left corner points are, then:$(0,0),(1,0),(0,1),(1,1)$

The average value is the mean of the above two estimates$\frac{1}{2}\left[V_{(A)}+V_{(B)}\right]$$\frac{1}{2}\left[ 133.3125+134.6875\right] = 134$ Therefore, the average of the estimates obtained from (A) and (B) is 134.

(D) Using iterated integrals, compute the exact value of the volume.The volume of the given solid is given by,$$\iiint dV$$Converting to iterated integrals$$\iiint dV=\int_{0}^{2}\int_{0}^{2}\int_{0}^{100-x^2-4y^2}dzdydx$$\begin{aligned}\int_{0}^{2}\int_{0}^{2}\int_{0}^{100-x^2-4y^2}dzdydx&=\int_{0}^{2}\int_{0}^{2}\left[100-x^2-4y^2\right]dydx\\&=25\int_{0}^{2}\int_{0}^{2}\left[1-\left(\frac{x}{2}\right)^2-\left(\frac{y}{1/2}\right)^2\right]dydx\\&=25\int_{0}^{2}\int_{0}^{2}\left[1-\left(\frac{x}{2}\right)^2\right]dydx-100\int_{0}^{2}\int_{0}^{2}\left[\left(\frac{y}{1/2}\right)^2\right]dydx\\&=25\int_{0}^{2}\left[y-\frac{y}{4}\right]_{0}^{2}dx-100\int_{0}^{2}\left[\frac{y^3}{3}\right]_{0}^{2}dx\\&=25\int_{0}^{2}\left[\frac{3}{4}y\right]_{0}^{2}dx-100\int_{0}^{2}\left[\frac{8}{3}\right]dx\\&=25\int_{0}^{2}\frac{3}{2}dx-100\left[ \frac{8}{3}x\right]_{0}^{2}\\&=37.5-100\cdot \frac{16}{3}\\&=-62.5\end{aligned}

Hence, the exact value of the volume of the solid is -62.5.

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(A) Estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the lower left hand corners.

Each square is of area 1 (since the square R is divided into 4 equal squares) and so for the lower left corner of each square, we have the sample points as (0,0), (0,1), (1,0), and (1,1).

The value of the elliptic paraboloid at these points is then calculated as\(z = 100 - x^2 - 4y^2= 100 - (0)^2 - 4(0)^2 = 100= 100 - (0)^2 - 4(1)^2 = 96= 100 - (1)^2 - 4(0)^2 = 99= 100 - (1)^2 - 4(1)^2 = 95\)

Therefore, the volume of the solid above R estimated by dividing R into 4 equal squares and choosing the sample points to lie in the lower left hand corners is Volume = (1)(100 + 96 + 99 + 95)= 390

(B) Estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the upper right-hand corners.

Each square is of area 1 (since the square R is divided into 4 equal squares) and so for the upper right corner of each square, we have the sample points as (1,1), (1,2), (2,1), and (2,2).

The value of the elliptic paraboloid at these points are then calculated as z = 100 - x^2 - 4y^2= 100 - (1)^2 - 4(1)^2 = 95= 100 - (1)^2 - 4(2)^2 = 80= 100 - (2)^2 - 4(1)^2 = 91= 100 - (2)^2 - 4(2)^2 = 75

Therefore, the volume of the solid above R estimated by dividing R into 4 equal squares and choosing the sample points to lie in the upper right hand corners is:Volume = (1)(95 + 80 + 91 + 75)= 341(C) What is the average of the two answers from (A) and (B)?The average of the two answers is:(390 + 341)/2= 365.5Therefore, the average of the two answers from (A) and (B) is 365.5(D) Using iterated integrals, compute the exact value of the volume.The elliptic paraboloid is given as z = 100 - x^2 - 4y^2 and the domain R = [0,2] x [0,2]. The volume of the solid is given by the integral of the function f(x,y) = 100 - x^2 - 4y^2 over the domain R, that is:∬Rf(x,y) dAwhere dA = dxdyTherefore, the volume is:∬Rf(x,y) dA= ∫[0,2]∫[0,2] (100 - x^2 - 4y^2) dy dx= ∫[0,2] [100y - x^2y - 2y^3]y=0 dy dx= ∫[0,2] [100y - x^2y - 2y^3] dy dx= ∫[0,2] (100 - 2x^2 - 16) dy dx= ∫[0,2] (84 - 2x^2) dy dx= ∫[0,2] (84y - 2x^2y) y=0 dy dx= ∫[0,2] (84 - 4x^2) dx= (84x - (4/3)x^3) x=0^2= (84(2) - (4/3)(2^3)) - (84(0) - (4/3)(0^3))= 168 - 16/3= 500/3Therefore, the exact value of the volume is 500/3. Answer: 365.5, 500/3.

The equivalent expression is: \(-x^5 y^3 + 6x^3 y^5\).

Let's simplify the given expression step by step using the given terms:
Expression:

\(3x^3 y^5 + 3x^5 y^3 - (4x^5 y^3 − 3x^3 y^5)\)
Distribute the negative sign outside the parentheses to the terms inside:
\(3x^3 y^5 + 3x^5 y^3 - 4x^5 y^3 + 3x^3 y^5\)
Combine like terms, which are terms that have the same variables raised to the same power:
\((3x^3 y^5 + 3x^3 y^5) + (3x^5 y^3 - 4x^5 y^3)\)
Add or subtract the coefficients of the like terms:
\(6x^3 y^5 - x^5 y^3\)
So, the simplified expression is:
\(6x^3 y^5 - x^5 y^3\)

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Answer:8.5

Step-by-step explanation:I just know it’s

Answer:

you can use apps like socratic to get the answer i do this before i come to brainly

Step-by-step explanation:

The value of g(-6) is -2 when the function g(x) = x + 4, indicating that when x equals -6, the value of g(x) is -2.

To find g(-6), we substitute -6 into the function g(x) = x + 4:

g(-6) = -6 + 4

Simplifying the expression:

g(-6) = -2

Therefore, g(-6) = -2.

By evaluating g(-6), we are finding the value of the function g(x) when x is -6. In this case, when x is -6, the value of g(x) is -2.

It's important to note that g(x) = x + 4 is a linear function, where the input value x is added to 4 to produce the output value g(x). When x is -6, adding 4 gives us -2 as the result.

This means that if we graph the function g(x) = x + 4 on a coordinate plane, the point (-6, -2) will lie on the graph. The x-coordinate represents the input value, and the y-coordinate represents the output value of the function.

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Answer:

You don't

Step-by-step explanation:

*Mind Blown*

If dr. Robinson rejects the null hypothesis after observing a test statistic that exceeds the critical value at the .05 level, there is a 5% chance that the null hypothesis is actually true.

This refers to the hypothesis that there is no significant difference between specified populations, where any observed difference is due to sampling or experimental error.

Hence, we can see that if dr. Robinson rejects the null hypothesis after observing a test statistic that exceeds the critical value at the .05 level, there is a 5% chance that the null hypothesis is actually true.

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The expression 2a² + 5ab + 2b² describes the total area of the design and includes information about the area of the small squares (2a²), the area of the large squares (2b²) and the area of the four rectangles formed by the overlap of a small square and a large square (5ab).

The expression 35a² only includes information about the area of the small squares (35a²) and does not include information about the area of the large squares or the area of the overlap rectangles.

The expression 35a² has information about the area of the small squares but it does not include information about the area of the large squares or the area of the overlap rectangles which is in the expression 2a² + 5ab + 2b².

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Answer:

Step-by-step explanation:

x² + y² - 10x + 8y + 37 = 0

Regroup terms

(x² - 10x) + (y² + 8y) = -37

Complete the square

(x² - 10x + 5²) + (y² + 8y + 4²) = -37 + 5² + 4²

(x² - 5)² + (y² + 4)² = 2²

Center (5,-4)

Radius = 2

Answer:

Center (5,-4) radius =2

Step-by-step explanation:

on edg

Answer:

x + 2

Step-by-step explanation:

im sure its the right answe

Answer:   A≈47791.31

Step-by-step explanation:

A

=

P

(

1

+

r

n

)

n

t

A=P(1+

n

r

​

)

nt

Compound interest formula

P

=

25000

r

=

0.036

t

=

18

n

=

365

P=25000r=0.036t=18n=365

Given values

A

=

25000

(

1

+

0.036

365

)

365

(

18

)

A=25000(1+

365

0.036

​

)

365(18)

Plug in values

A

=

25000

(

1.0000986301

)

6570

A=25000(1.0000986301)

6570

Simplify

A

=

47791.3122461

A=47791.3122461

Use calculator

A

≈

47791.31

A≈47791.31

The amount after 18 years will be $47,791

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given that, Brianna invested $25,000 in an account paying an interest rate of 3.6% compounded daily.

A = P(1+r/365)^n*365

A = 25000(1+0.00009863)^6570

A = 25000(1.00009863)^6570

A = 47,791

Hence, The amount after 18 years will be $47,791

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Answer:

5

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

Slope = (28 - 18) / (4 - 2)

Slope = 10 / 2 = 5

Answer:

5

Step-by-step explanation:

5 is your answer because if you plot these on a graph you would know how many points there are in between them and there are 5

i hope this helps :)

Answer:

x = 4, y = 5.

Step-by-step explanation:

4x-2=3y-1

y+3=3x-4

Rearranging:

4x - 3y =  1       (A)

-3x + y = -7      (B)

Multiply  B by 3:

-9x + 3y = -21   (C)
Adding A and C:

-5x = -20

x = 4

Substitute for x in equation A:

4(4) - 3y = 1

3y = 15

y = 5.

Answer:

x=28

Step-by-step explanation:

Let's say Chloe spent X

Then Amy spent 60% more so Amy spent

X+60% of X =X + 0.6X =1.6X

Becky spent 15% of what Chloe spent so amount spent by Becky =15% of X = .15X

Now, in total, they spent 0.15X+ X + 1.6X =2.75X which is given as £55

So , X=55/2.75 = 20

Amount spent by Amy = 1.6X = 1.6 *20 =£32

Answer:

315 inches

Step-by-step explanation:

180 + 180 * 075 =

180 + 135 = 315

Answer:

The truck is 315 inches long.

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

a+4

Let a = 87

87+4

81

The solution of the equation y = (2/3)x + 3 is 5/3

The given equation is

y = (2/3)x + 3

The slope of the line is the change in y coordinates with respect to the change in x coordinates.

This is the linear equation in the the slope intercept form

y = mx + b

Where m is the slope of the line

b is the y intercept

y is the y coordinates

x is the x coordinates

The value of x = -2

Substitute the value of x in the equation

y = (2/3) × -2 + 3

Do the arithmetic operations

= -4/3 + 3

Add the numbers

= 5/3

Therefore, the solution is 5/3

I have solved the question in general, as the given question is incomplete

The complete question is:

What is the solution of the equation y = (2/3)x + 3x, when x = -2?

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Answer: It is to the right of zero on the number line.

Step-by-step explanation:

The opposite of a negative is a positive.

Negatives go on the left side of number lines.

Positives go on the right side of number lines.