what is the equation of the line with the slope of -3/5 and an x-intercept of 6

The surface area of that part of the plane 10x+7y+z=4 inside the elliptic cylinder x^2/25+y^2/9=1 is equal to πab, where a=5 and b=3. Therefore, the surface area is equal to 45π.

Total area on a three-dimensional shape's surface is known as surface area. The surface area of a cuboid with six rectangular faces can be calculated by adding the areas of each face. Alternatively, you can write down the cuboid's length, width, and height and use the formula surface area (SA)=2lw+2lh+2hw.

The general formula for a cube's surface area is as follows: The area of the base plus the area of the cube's vertical surfaces will add up to the cube's total surface area. The cube's total surface area is calculated using the formula 6a2, where an is the side length.

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Answer:

1861÷1250

Step-by-step explanation:

This is the simplified version

By definition of proportion, Out of a total of 75,000 voters, there are 43,000 predict will vote against Issue 1

Given that Out of a random sample of 300 voters, it was found that 172 voters are in favor of Issue

Now,

Let number of vote against Issue #1 for total 75,000 = x

Hence, By definition of proportion we get;

⇒ 300 / 172 = 75,000 / x

⇒ 300x = 75,000 × 172

⇒ 300x = 12,900,000

⇒ x = 43,000

Therefore, by definition of proportion, Out of a total of 75,000 voters, there are 43,000 predict will vote against Issue 1

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Out of a random sample of 300 voters, it was found that 172 voters are in favor of Issue #1.

Out of a total of 75,000 voters, how many do you predict will vote against Issue #1?

It is predicted that ___

voters are against Issue #1.

A- 30,000

B- 32,000

C- 43,000

D- 60,000

Answer:

x= -13 (a)

Step-by-step explanation:

-2x=35-9

-2x=26

x=-13

hope this helps x.

Answer:

-13

Step-by-step explanation:

9-2/x=35

9-2/x=35

-2/x=35-9

-2/x=26

-2=26x

26x=-2

x=-1/13

Answer:

She is an undergraduate because more undergraduates are enrolled

Step-by-step explanation:

From the question, we understand that:

Undergraduate > Graduate

This represents the base rate

So, when taking a guess using the base rate, your guess will be that: the woman is an undergraduate.

The reason for this is that you know that there are more undergraduates than graduates enrolled in the course.

Sales tax is added to the price.

From the question, we have the following parameters that can be used in our computation:

The statement is about sales tax

As a general rule

sales tax are added to the price of the item that is being bought

So, the complete statement is Sales tax is added to the price.

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Answer:...this can't be 5th grade work. I'm in 8th grade and I'm just starting this. But anyways. I think the answer is 1,665

Answer:

C. 85 degrees

Step-by-step explanation:

(set the equations equal to each other):

6x-25 = 4x+15

(solve for x):

2x = 40

x = 20

(plug in x back into the equation):

6(20)-25 = 120-25 = 95

(subtract your value from 180 degrees (180 degrees is a line)):

180-95 = 85 degrees

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

The correct square root of the given expression is 4√2. Hence,  option B is correct.

The given  number is:

√32

To find the square root of the given number,

Factoring the number 32,

32 = 2x2x2x2x2

32 = 2⁵

This can also be written as,

32 =  2⁴(2)

Now taking square root on both sides we get,

√32 = 4√2

Hence,

The correct square root of the given expression is 4√2 which is option B.

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The complete question is:

Which of the following is equivalent to the square root of 32.

A: fift root of 64

B: 4√2

C: 2√5

D: 3√2

Answer: D, \(8(\sqrt[10]{2^{7} } )\)

Step-by-step explanation:

We need to first multiply \(\sqrt{32}\)  by \(\sqrt[5]{64}\). To do this, we can convert both of them into exponents, making them \(32^{\frac{1}{2} }\) and \(64^{\frac{1}{5} }\). To multiply the exponents, we need to give both of them the same denominator, so they become \(32^{\frac{5}{10} }\) and \(64^{\frac{2}{10} }\). Now we can convert them back into roots and multiply them together to get \(\sqrt[10]{32^{5} 64^{2} }\). Now focusing on the inside of the roots, to multiply them together, we need to give them the same base. \(2^{5}\) is 32 and \(2^{6}\) is 64, and substituting them back into the roots, we get \((2^{5})^{5}\) and \((2^{6}) ^{2}\), which we can simplify by multiplying the exponents together, giving us \(2^{25}\) and \(2^{12}\). Now we can multiply them together by adding the exponents, leaving the same base, to get \(2^{37}\). Putting this back into the root, we have \(\sqrt[10]{2^{37} }\). From here, we simplify. From 37, 30 goes into 10 perfectly, with 30/10 being 3. To get rid of it, we do \(2^{3}\), which is 8, so in the end, the answer is D, \(8(\sqrt[10]{2^{7} } )\).

Answer:

Describe how anthropology challenges more commonly held notions of progress

Step-by-step explanation:

We estimated the integral of (4+x²) is 13.5049,

And error be = 13.5049 - 13.3438

                      =  0.01611

Let's consider the integral:

∫(4+x²)dx

We need to estimate this integral using Simpson's rule and trapezoidal rule with four equal interval partitions and then repeat the process with eight equal interval partitions.

First, let's divide the interval [a,b] into four equal subintervals,

Where a=0 and b=2.

Therefore, h=(b-a)/4=0.5.

Simpson's rule states that,

∫f(x)dx ≈ h/3 [f(a)+4f(a+h)+2f(a+2h)+4f(a+3h)+f(b)]

Using this formula, we can estimate the value of the integral as follows:

∫(4+x²)dx ≈ 0.5/3 [4 + 4(4.25) + 2(5) + 4(6.25) + 8]

               ≈ 13.9583

To estimate the error, we can use the formula for Simpson's rule error:

\(E_s\) = -((b-a)/180) \(h^4\) f⁽⁴⁾(ξ)

Here, ξ is a point in the interval [a,b], and f⁽⁴⁾(x) is the fourth derivative of f(x).

For our integral, the fourth derivative of f(x) is 24/x⁵.

Therefore, we can estimate the error as follows:

\(E_s\)  = -((2-0)/180) (0.5)⁴ 24/(ξ)⁵

     ≈ -0.0347/(ξ)⁵

Next, let's use the trapezoidal rule to estimate the integral.

The formula for the trapezoidal rule is:

∫f(x)dx ≈ h/2 [f(a) + 2f(a+h) + 2f(a+2h) + 2f(a+3h) + f(b)]

Using this formula, we can estimate the value of the integral as follows:

∫(4+x²)dx ≈ 0.5/2 [4 + 2(4.25) + 2(5) + 2(6.25) + 8]

               ≈ 13.25

To estimate the error, we can use the formula for trapezoidal rule error:

\(E_t\) = -((b-a)/12) h² f⁽²⁾(ξ)

Here, f⁽²⁾(x) is the second derivative of f(x).

For our integral, the second derivative of f(x) is 2.

Therefore, we can estimate the error as follows:

\(E_t\) = -((2-0)/12) (0.5)² 2

    ≈ -0.0833

Now, let's repeat the above process with eight equal interval partitions. The value of h reduces to 0.25.

Therefore, the estimated values of the integral using Simpson's rule and trapezoidal rule are:

Simpson's rule: ∫(4+x²)dx ≈ 0.25/3 [4 + 4(4.0625) + 2(4.5) + 4(5.8125) + 2(7.25) + 4(9.0625) + 2(11.5) + 4(14.0625) + 8]

                                         ≈ 13.5049

Trapezoidal rule: ∫(4+x²)dx ≈ 0.25/2 [4 + 2(4.0625) + 2(4.5) + 2(5.8125) + 2(7.25) + 2(9.0625) + 2(11.5) + 2(14.0625) + 8]

                                            ≈ 13.3438

As we can see, with eight equal interval partitions,

The estimated values of the integral using both methods are more accurate than with four equal interval partitions.

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It follows a pattern

Step-by-step explanation:

So I guess it's B?

Answer: 30 costumes

Step-by-step explanation:

Let x be the total amount of costumes.

In order to get 30% , we need to divide 9 by the total amount of costumes (x), but first we need to change 30% to its multiplier:

30% ÷ 100 = 0.3 (multiplier).

\(\frac{9}{x} =30\)%

\(\frac{9}{x} =0.3\)

\(x=\frac{9}{0.3}\)

\(x=30\) costumes

Or if that is confusing:

\(\frac{9}{x} =30\)%

\(\frac{9}{x} =0.3\)

\(\frac{x}{9} =\frac{1}{0.3}\)

\(x=9 *\frac{1}{0.3}\)

\(x=\frac{9}{0.3}\)

\(x=30\) costumes

The above equations are exactly the same, they are just written differently.

We can now check if our answer is correct:

\(\frac{9}{30} = 0.3\\0.3*100=30\)%

Hope you understand!

Answer:

86

Step-by-step explanation:

Answer:

86

Step-by-step explanation:

Multiply the two numbers together as if there was no decimal, then move the decimal in the number of places that it is given in one of the factors.

I would recommend that Anna gets sent to the track meet because although her average is lower than olafs, she has much more experience because as you can see in the box and whisker plot, she has done a lot more running

The translation is as shown in the figure in option B

Translation transformation is a type of geometric transformation that moves every point of a figure the same distance and direction. This transformation does not change the size, shape, or orientation of the figure, but only its position in space.

The transformation required ahs the rule defined as

Applying the rule arrives the image in option B

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Answer:

  multiply the numerators; express that product over the product of the denominators

Step-by-step explanation:

Multiplication of fractions is done the same way regardless of whether the denominators are the same or different.

  \(\dfrac{a}{b}\times\dfrac{c}{d}=\dfrac{ac}{bd}\)

The numerator of the product is the product of the numerators.

The denominator of the product is the product of the denominators.

Answer: x= 7191.509 ft

Step-by-step explanation:

Sin9/1 = 1125/x

X/1 = 1125/sin9

Answer:do it dare you

Step-by-step explanation:

The recursive rule of the function is aₙ = aₙ₋₁ - 30

From the question, we have the following sequence that can be used in our computation:

67 ,37 ,7, -23, -53

In the above sequence, we can see that the 30 is subtracted from the previous term to get the current term

Using the above as a guide,

So, we have the following representation

aₙ = aₙ₋₁ - 30

The above represents the recursive rule

Hence, the recursive formula of the sequence is aₙ = aₙ₋₁ - 30

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Answer:

27.77777777777778

Step-by-step explanation:

or 28

\(11x-21=8x+15\\3x-21=15\\3x=36\\x=\boxed{12}\)

\(LM=11(12)-21=\boxed{111}\\\\MN=LM=\boxed{111}\\\\LN=111+111=\boxed{222}\)

Answer:

m<1 = 70

Step-by-step explanation:

I'll have m<1 = x:

Exterior angles thm:

x + 31 = 101

x = 101 - 31

x = 70

Answer:

Domain 1,3,5,7,9,11

Range 5,6,7,8,9,10

All the values that we can put in the given box so that A is a polynomial,

\(A=(2x^{2} +5-7)\\A =2(x^{2} -1)\\A=2(x+1) (x-1)\)

\(x\) can take any value except ±1.

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To find the volume of the solid generated when the region R, bounded by the curves y = 3|x| and y = 18 - x^2, is revolved about the x-axis, we can use the method of cylindrical shells.

This method involves integrating the surface area of infinitesimally thin cylindrical shells formed by rotating the region about the x-axis.

Determine the intersection points: Set the two equations equal to each other and solve for x to find the intersection points of the curves. In this case, solve 3|x| = 18 - x^2.

Set up the integral: The volume of the solid can be calculated by integrating the surface area of the cylindrical shells. The integral should be set up from the x-coordinate of the leftmost intersection point to the rightmost intersection point.

Express the radius of the shells: The radius of each cylindrical shell is given by the distance between the x-axis and the curve at a particular x-coordinate. In this case, the radius is y = 3|x|.

Determine the height of the shells: The height of each cylindrical shell is infinitesimally small and is given by the differential element dx.

Evaluate the integral: Integrate the product of the radius and height over the interval determined in step 2. The integral should be in the form ∫(2πy)(dx).

Calculate the final result: Evaluate the integral to obtain the volume of the solid generated when the region R is revolved about the x-axis.

By following these steps, you can find the volume of the solid formed when the region bounded by the given curves is revolved about the x-axis.

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answer

22.5pages

example: 30÷4*3

The probability that one microprocessor works is 0.8 and the probability that at least one microprocessor works is 0.99968.

a. The probability that one microprocessor works is 0.8, since 20% are defective. Assuming independence, the probability that all five work is:

P(all work) = (0.8)^5 = 0.32768

Therefore, the probability that all five microprocessors work is 0.32768.

b. The probability that at least one microprocessor works is equivalent to the complement of the probability that none of the microprocessors work. The probability that one microprocessor does not work is 0.2, and assuming independence, the probability that none of the five work is:

P(none work) = (0.2)^5 = 0.00032

Therefore, the probability that at least one microprocessor works is:

P(at least one works) = 1 - P(none work) = 1 - 0.00032 = 0.99968

Therefore, the probability that at least one microprocessor works is 0.99968.

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