(1 point) Use spherical coordinates to evaluate the triple integral e e-(z+y+z) (x² + y² + z² where E is the region bounded by the spheres x2 + y2 + z2 = 4 and x² + y2 + z2 = 25. SIS dᏙ , E = =

Step-by-step explanation:

1:4 bcos u need to divide both sides by 4

Answer:

$20>$75>$60

Step-by-step explanation:

hope it helps

The system of inequalities that represent the situation are -

x < 20

y ≤ 60

x + y ≤ 75

We have $75 to spend on books and music and we want to spend less than $20 on music and no more than $60 on books.

We have to determine which system represents the situation.

Assume the cost spend on toffees is $x and that on chocolates is $y. Then-

x > 20

y < 15

x + y ≤ 50

Solve them graphically and you will find the possible solution set.

According to the question, we have -

Amount available to spend = $75

For music → amount < $20

For books → amount ≤ 60

Assume the cost spend on music is $x and that on books is $y.

Then -

x < 20

y ≤ 60

x + y ≤ 75

Check the graph attached for solution region. The points inside the  triangle formed (marked by red thick boundary) represents the points which satisfy the above conditions.

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The service center is located 90 miles from the 3rd exit and 30 miles from the 10th exit on the highway.

Given, The third exit on a highway is located at milepost 40 and the tenth exit is at milepost 160.

There is a service center on the highway located three-fourths of the way from the third exit to the tenth exit.

To find, The location of the service center.

Solution:First, let's calculate the total length of the highway:Length of the highway = Milepost of the 10th exit - Milepost of the 3rd exitLength of the highway = 160 - 40 = 120 milesNow, let's find the distance

between the 3rd exit and the service center.Using the formula,Distance = Rate x TimeWe know that the distance from the 3rd exit to the service center is three-fourths of the total distance between the 3rd and the 10th exit, i.e.,Distance between 3rd and 10th exit = 160 - 40 = 120 milesDistance from the 3rd exit to the service center = three-fourths of the total distance between the 3rd and the 10th exitDistance from the 3rd exit to the service center = 3/4 x 120Distance from the 3rd exit to the service center = 90 milesNow, let's find the distance between the service center and the 10th exit.Distance between the service center and the 10th exit = total distance between the 3rd and the 10th exit - distance between the 3rd exit and the service centerDistance between the service center and the 10th exit = 120 - 90Distance between the service center and the 10th exit = 30 milesTherefore, the service center is located 90 miles from the 3rd exit and 30 miles from the 10th exit.

swer: The service center is located 90 miles from the 3rd exit and 30 miles from the 10th exit on the highway.

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The service center is located at milepost 130 on the highway.

The distance between the third exit and the tenth exit on the highway is 160 - 40 = 120 miles. To find the location of the service center, we need to determine three-fourths of this distance, which is (3/4) * 120 = 90 miles.

To locate the service center, we start at the third exit at milepost 40 and travel 90 miles towards the tenth exit. This brings us to milepost 40 + 90 = 130.

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Answer:

(c) or 10 is the answer

Step-by-step explanation:

In order to find slope you have to follow the formula

(y2-y1) / (x2-x1)

That would give you the slope which in this case is 10.

Answer:

k=−5

Step-by-step explanation:

−3(k+7)−5k+4=23

(−3)(k)+(−3)(7)+−5k+4=23(Distribute)

−3k+−21+−5k+4=23

(−3k+−5k)+(−21+4)=23(Combine Like Terms)

−8k+−17=23

−8k−17=23

Step 2: Add 17 to both sides.

−8k−17+17=23+17

−8k=40

Step 3: Divide both sides by -8.

−8k

−8

=

40

−8

k=−5

Answer:

k=−5

\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=7 \end{cases}\implies V=\cfrac{\pi (3)^2(7)}{3} \\\\\\ V=21\pi \implies {\Large \begin{array}{llll} V\approx 65.97 \end{array}} ~in^3 ~~ \approx 66~in^3\)

Answer:

x = 4.3

Step-by-step explanation:

Lets solve!

1.2(x) = 5.16

Divide both sides by 1.2 to get

x = 4.3

Answer:x=4.3

Step-by-step explanation:

Step 1: Divide both sides by 1.2

1.2x/1.2=5.16/1.2

X=4.3

Answer: 46 is your answer hope this helped

Step-by-step explanation:

Answer:

\(4 \sqrt{11} \)

Step-by-step explanation:

According to Pythagoras Theorem,

\( {(hypotenuse)}^{2} - {height}^{2} = {(base)}^{2} \)

\( = > {24}^{2} - {20}^{2} = {x}^{2} \)

\( = > \: {x}^{2} = 576 - 400\)

\( = > {x}^{2} = 176\)

\( = > x = \sqrt{176} \)

\( = > x = \sqrt{2 \times 2 \times 2 \times 2 \times 11} \)

\( = > x = 2 \times 2 \sqrt{11} \)

\( = > x = 4 \sqrt{11} (ans)\)

Answer:

D. the incenter

Step-by-step explanation:

Hope this helps

Answer:

D. the incenter

Step-by-step explanation:

Because it is the "Correct Answer"

A minimum value can be represented graphically as a point on a curve where the function reaches its lowest point. It is also known as the local minimum because it is the smallest value of the function within a specific range.

Here is a simple example to illustrate this concept:

Consider the function f(x) = x^2. If we plot this function on a graph, we will see that it is a parabola that opens upwards. The lowest point on this curve is the point where the curve changes direction, from decreasing to increasing. This point is the minimum value of the function.

We can represent this minimum value graphically by drawing a point at the lowest point on the curve. The x-coordinate of this point represents the value of x where the minimum occurs, and the y-coordinate represents the minimum value of the function at that point. In this case, the point would be (0,0), since the minimum value of the function is zero and it occurs at x=0.

In summary, a minimum value is the lowest point on a curve and is represented graphically as a point on the curve where the function reaches its smallest value.

Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise

The equation produced as a step when the Euclidean algorithm is used to find the gcd of the given integers (11, 1) is option (B): 11 = 11 × 1 + 0.

The Euclidean algorithm is a method to find the greatest common divisor (gcd) of two given integers. The algorithm involves repeatedly dividing the larger integer by the smaller integer and then replacing the larger integer with the remainder obtained from the division. This process is repeated until the remainder becomes zero.

In the given question, we are asked to identify the equation produced as a step when the Euclidean algorithm is used to find the gcd of the given integers (11, 1).

The Euclidean algorithm proceeds as follows:

Step 1: Divide 11 by 1 and obtain the quotient and remainder.

11 = 1 × 11 + 0

Here, the remainder is zero, so the algorithm terminates.

Thus, the correct option is option (B): 11 = 11 × 1 + 0.

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The system of equations to model 10 years from now A will be twice as old as B is a + 10 = 2(b + 10) and A was three times as old as B is a - 5 = 3(b - 5). The present age of A is 50 and present age of B is 20.

Let's assume that the present age of person A is "a" and the present age of person B is "b". Based on the given information, we can write the following system of equations to model the situation:

Equation 1: 10 years from now, A will be twice as old as B.

a + 10 = 2(b + 10)

Equation 2: 5 years ago, A was three times as old as B.

a - 5 = 3(b - 5)

To solve this system of equations, we can use any method such as substitution or elimination. Here, we will use the substitution method.

First, we can simplify Equation 1 by distributing the 2 on the right side:

a + 10 = 2b + 20

a = 2b + 10

Next, we can substitute this expression for "a" in Equation 2:

(2b + 10) - 5 = 3(b - 5)

Simplifying and solving for b, we get:

2b + 5 = 3b - 15

b = 20

Finally, we can substitute this value for "b" in Equation 1 and solve for "a":

a = 2(20) + 10

a = 50

Therefore, the present age of A is 50 and the present age of B is 20. We can check that these values satisfy both Equation 1 and Equation 2.

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Answers:

3 chocolate cones

1 strawberry cones

===========================================================

Explanation:

Let's isolate the variable c in the first equation

c+s = 4

c = 4-s

we subtract s from both sides to get c all by itself. This will then be plugged into the second equation. I'm using the substitution property.

1.75c + 1.3s = 6.55

1.75(4-s) + 1.3s = 6.55 ..... replace c with 4-s

1.75*4 + 1.75*(-s) + 1.3s = 6.55

7 - 1.75s + 1.3s = 6.55

-0.45s + 7 = 6.55

-0.45s = 6.55 - 7

-0.45s = -0.45

s = -0.45/(-0.45)

s = 1

So he bought 1 strawberry cone. Use this value of s to find c

c = 4-s

c = 4-1

c = 3

This says he also bought 3 chocolate cones.

-------------------

As a check, we see that c+s = 3+1 = 4, showing that he bought 4 cones total.

Also,

1.75c + 1.3s = 1.75*3 + 1.3*1 = 6.55

indicating he spent $6.55 total for the four cones. This matches with what the instructions tell us, so the answer is confirmed.

Answer:

Step-by-step explanation:

\(\left \{ {{c+s=4} \atop {1.75c+1.3s=6.55}} \right.\)

1.75c + 1.75s = 1.75 × 4 ........ (1)

1.75c + 1.3s = 6.55 ........ (2)

(1) - (2)

0.45s = 0.45 ⇒ s = 1

c + 1 = 4 ⇒ c = 3

[ 3 ] chocolate  [ 1 ] strawberry

The polynomials f(x) = x^2 + bx + 400 have -20 as its only zero then the value of b is 40.

The polynomials f(x) = x^2 + bx + 400 have -20 as its only zero

Then x=-20

The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero.

x=-20 is the zero of the given polynomial

Therefore it satisfies the given polynomial

\(f(-20)=(-20)^2+b(-20)+400\)

\(0=400-20b+400\\800-20b=0\\-20b=-800\\b=\frac{-800}{-20} \\b=40\)

Therefore the value of b is 40.

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Answer:

12 white 28 printed

Step-by-step explanation:

x = white y = printed

x + y = 40————(1)

4.95x + 7.95y = 282————(2)

Solve for x using 1st equation

x = 40 - y Plug in for x using 2nd equation

4.95(40 - y) + 7.95y = 282 Solve for y

198 - 4.95y + 7.95y = 282

3y = 84

y = 28         Plug in for y using 1st equation

x + (28) = 40     Solve for x

x = 12

I hope this helped and please mark me as brainliest!

Answer:

12 white shirts and 28 printed shirts

Step-by-step explanation:

1. 4.95x + 7.95y = 282

x + y = 40

2. Guess and Check

12 + 28 = 40

4.95 (12) + 7.95 (28) = 59.4 + 222.6

59.4 + 222.6 = 280

3. Answer: 12 white shirts and 28 printed shirts

You can do elimination or substitution, but in this case, I feel like it would've been too complicated.

Green's Theorem can be used to calculate the circulation of G→ around the curve G, which is counterclockwise oriented as follows:

Γ: circle of radius 2 centered at the origin 0(x,y)<=2G→=7y i→+xy j→Let's start with calculating the curl of the vector field G:curlG→=∂Gz∂y−∂Gy∂z i→+∂Gx∂z j→+∂Gy∂x k→=∂(xy)∂y−∂(7y)∂z i→+∂(7y)∂x j→=0 i→+0 j→+x k→=x k→Now, we can apply Green's Theorem:∮ΓG→.dr→=∬DcurlG→dAwhere D is the disk enclosed by Γ. In this case, we haveD={(x,y):x2+y2<=4}∬DcurlG→dA=∫0^2∫0^2xdydx=2∫0^2xdx=8Therefore, the circulation of G→ around Γ is∮ΓG→.dr→=∬DcurlG→dA=8 b) Let's begin by parameterizing the rectangle Γ as follows:Γ1: (x, y) = (t, 0), -3 ≤ t ≤ 6Γ2: (x, y) = (6, t), 0 ≤ t ≤ 6Γ3: (x, y) = (t, 6), 6 ≥ t ≥ -3Γ4: (x, y) = (-3, t), 6 ≥ t ≥ 0Now, we can evaluate the line integral ∮ΓF→.dr→ by summing up the line integrals over each segment of Γ.∮ΓF→.dr→=∫Γ1F→.dr→+∫Γ2F→.dr→+∫Γ3F→.dr→+∫Γ4F→.dr→∫Γ1F→.dr→=∫-3^6sin(t)dt=[-cos(t)]-3^6=cos(-3)-cos(6)∫Γ2F→.dr→=∫0^6(sin(6) i→+(x4-y) j→).(0,1)→dt=sin(6)∫0^6dt=6sin(6)∫Γ3F→.dr→=∫6^-3sin(x,6) i→+(x4-y) j→.(0,-1)→dt=∫-3^6(sin(x,6) i→+(-4-6) j→).(0,-1)→dt=10∫-3^6dt=60∫Γ4F→.dr→=∫6^0(sin(-3) i→+((x4-y) j→).(0,-1)→dt=sin(-3)∫6^0dt=-sin(3)Therefore, the line integral of F→ around Γ is∮ΓF→.dr→=cos(6)-sin(3)+6sin(6)+10

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Answer:

x = 19.98 y= 8.88

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have:

Rewrite it as:

For x to be a positive integer, y has to be a multiple of 4:

Where m is also positive integer, then

As we see x is multiple of 9, it can get values of 9 or 18.

The greatest possible value of x is 18.

Then the value of y is:

Answer:

29 miles

Step-by-step explanation:

116 divided by 4

Answer: 29 mph

Hope this helps :)

The probability that over 40% will be willing to switch companies if offered a higher salary is 5%.

This problem can be modeled by a binomial distribution with n = 100 and p = 0.35. We want to find the probability that more than 40% (i.e., 0.4) of the executives in the sample are willing to switch companies.

Using the normal approximation to the binomial distribution, we can calculate the mean and standard deviation of the sample proportion as:

mean = np = 100 × 0.35 = 35

standard deviation = √(np(1-p)) = sqrt(100 × 0.35 × 0.65) ≈ 4.16

To standardize the distribution, we calculate the z-score:

z = (0.4 × 100 - 35) / 4.16 ≈ 1.68

Using a standard normal table or calculator, we find that the probability of a z-score greater than 1.68 is about 0.0465. Therefore, the probability that over 40% of the executives in the sample are willing to switch companies is approximately 0.0465 or 4.65%.

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When rubbing two materials together, the materials become electrically charged, one with a positive charge and the other with a negative charge. This is due to the exchange of electrons between the two materials, resulting in a transfer of electrical charges. This is referred to as triboelectricity.

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The United States has a population of about 320 million, so if homicides were proportional to Honduras' rate of homicide, we would expect about 12,800 deaths due to homicides in the United States.

This is calculated by taking the population of the United States (320 million) and multiplying it by the Honduras' homicide rate of 40 per 100,000 people.


To calculate this, we first need to find Honduras' homicide rate. The World Bank has this information, which states that the rate is 40 per 100,000 people. We then need to take the population of the United States (320 million) and multiply it by the rate.

This equals 128 million homicides per 100,000 people in the United States. This comes out to 12,800 deaths due to homicides in the United States. Round this to the nearest person, and you get 12,800.

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Answer:

x = 50

Step-by-step explanation:

\(\frac{x}{6-11} =-10\\\\\frac{x}{-5} =-10\\Cross-Multiply\\x = - 10\times -5\\x = 50\)

The transformation of function and their algebraic representation are shown below:

From it we notice that to reflect the function about the y-axis we need to change the sign of the variable, then we have:

Therefore, the expression of g is:

The given statement "Measuring the entire population is usually preferred over measuring a sample from the population" is False because measuring the entire population is often impractical or impossible.

When dealing with large populations, it is typically more feasible to gather data from a representative sample rather than measuring the entire population. This approach saves time, resources, and effort. Sampling allows statisticians to make reliable inferences about the population based on the characteristics observed in the sample.

Carefully chosen samples can accurately reflect the population's attributes and provide valuable insights.

However, it is crucial to ensure that the sample is representative and unbiased to avoid potential sampling errors and ensure the validity of the conclusions drawn from the data.

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Answer:

25%

Cause 125%-100%=25%

​

Answer:

SAS

Step-by-step explanation:

    The diagram tells us there are two pairs of congruent line segments. In between those pairs, there are angles that are congruent. These are known as vertical angles. Therefore, the method to prove the triangles are congruent is SAS.

P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

To find the probability that at least 200 out of 210 college graduates under age 20 are employed, we can use the binomial distribution formula:
P(X ≥ 200) = 1 - P(X < 200)
where X is the number of employed college graduates under age 20 out of a sample of 210.
We know that the unemployment rate for college graduates under the age of 20 is 7%. Therefore, the probability of an individual college graduate being unemployed is 0.07.
To find the probability of X employed college graduates out of 210, we can use the binomial distribution formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the sample size (210), k is the number of employed college graduates, and p is the probability of an individual college graduate being employed (1-0.07=0.93).
We want to find P(X < 200), which is the same as finding P(X ≤ 199). We can use the cumulative binomial distribution function on a calculator or software to find this probability:
P(X ≤ 199) = 0.000000000000000000000000000001004 (very small)
Therefore, P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

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Independence can bring about various societal changes in Lebanon. These changes may include political autonomy, cultural revitalization, economic development, and social transformation.

Independence is a significant event in a nation's history that often leads to various societal changes. In the case of Lebanon, the achievement of independence can bring about several transformations. Politically, independence allows the nation to govern itself and make decisions based on its own interests, free from external influence. This can lead to the establishment of autonomous institutions, the development of democratic processes, and the formation of national identity.

Culturally, independence can foster a sense of pride and revitalization in the country's cultural heritage. It provides an opportunity for the promotion and preservation of indigenous traditions, languages, arts, and customs. This cultural resurgence can strengthen the nation's identity and promote unity among its diverse population.

Economically, independence opens up avenues for economic development and self-sufficiency. The nation can establish its own economic policies, trade agreements, and investment strategies. This newfound autonomy can stimulate growth, attract foreign investment, and create employment opportunities for the population, leading to improved living standards.

Socially, independence can bring about social transformation by empowering citizens and promoting social justice. It can lead to the recognition and protection of individual rights, equality, and inclusivity. Independence can also inspire a sense of national unity and solidarity among the people, fostering a shared vision for the future of the nation.

In summary, the attainment of independence in Lebanon can result in political autonomy, cultural revitalization, economic development, and social transformation. These changes contribute to shaping the nation's identity, promoting progress, and improving the well-being of its citizens.

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