Determine the x- and y-
intercepts of 2x - 5y = -10.
O (-5,0) and (0, 2)
(2.0) and (10,0)
O (5.0) and (0,5)

Rotating the area enclosed by, and the x-axis about the y axis yields the solid's volume, which is [tex]9\pi[/tex]. option C.

The cylindrical shell method can be used to determine the solid's volume after rotating the region enclosed by the curves x = 3y, x = 3, and the x-axis about the y-axis.

Let's begin by mapping the area:

The parabola that opens to the right and passes between the points (0,0) and (9,3) is represented by the curve x = 3y.

The volume element must be expressed in terms of y in order to set up the integral. Imagine rotating a narrow strip of material with width dy along the y-axis to create a cylindrical shell.

The tallness of theThe difference between the x-values of the curves x = 3 and x = 3y yields the cylindrical shell:

h = 3 - (3√y) = 3(1 - √y)

The distance between the y-axis and the curve x = 3y, denoted by the symbol r, and the circumference of the cylindrical shell is 2r. Here, r equals 3y.

The volume element is thus:

dV = 2π(3√y)(3(1 - √y)) dy

The integral may now be set up to determine the entire volume:

V = ∫[0,3] 2π(3√y)(3(1 - √y)) dy

This integral can be simplified to give us the solid's volume. After analysing the integral, we determine that is the right response. 9 cubed units.option C

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Answer: the length is 8

Step-by-step explanation: Because 11 minus 8 is 3

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

In point A:

[tex]\to df = n - 1 = 71-1= 70[/tex]

In point B:

[tex]\to t = \frac{(x -X)}{s} = \frac{(93-81)}{8} = \frac{12}{8}= 1.5[/tex]

In point C:

For df = 70, the top 5% critical t score

tcrit = 1.666914479

Thus,

[tex]\to 1.666914479 = \frac{(x - 81)}{8}\\\\\to 1.666914479 \times 8 = (x - 81)\\\\\to 13.335315832 = (x - 81)\\\\\to 13.335315832 +81 =x \\\\\to x= 94.335315832[/tex]

In point D:

For df = 70, the top 5% critical t score

tcrit = -1.666914479

[tex]\to -1.666914479 = \frac{(x - 81)}{8}\\\\\to -1.666914479 \times 8= (x - 81)\\\\\to -13.335315832= (x - 81)\\\\\to -13.335315832+81 = x \\\\\to x = 67.664684168\\\\[/tex]

In point E:

The lower cutoff is 0.10 in the center, which would be around 80 %. The critical point therefore is

tcrit = -1.293762898

[tex]\to -1.293762898 = \frac{(x-81)}{8}\\\\\to -1.293762898 \times 8= (x-81) \\\\\to -1.293762898 \times 8= (x-81) \\\\\to -10.350103184=x-81\\\\\to -10.350103184+81=x\\\\\to x=70.649896816[/tex]

In point F:

The lower cutoff is 0.90 in the center, which would be around 80 %. The critical point therefore is

tcrit = 1.293762898

[tex]\to 1.293762898 = \frac{(x-81)}{8}\\\\\to 1.293762898 \times 8= x-81\\\\\to 10.350103184 =x-81\\\\\to 10.350103184 +81=x\\\\\to x = 91.350103184\\[/tex]

Answer:

72 cm³

Step-by-step explanation:

Volume of a triangular pyramid = a*(h/3), where a is the area of the base triangle and h is the height from the base to the highest point.

We need to first find a, the area of the bas triangle:

Area of triangle = (1/2)bh, where b is the length of the base and h is the perpendicular height.

a = (1/2)12*4

a = 6*4

a = 24 cm²

Knowing a, we can know find the volume:

Volume = a*(h/3)

= 24*(9/3)

= 24*3

= 72 cm³

Answer:

(3x + 8y)(3x - 8y)

Step-by-step explanation:

this is the difference of 2 perfect squares.

9x2 - 64y2

(3x + 8y)(3x - 8y)

Answer:

1) x=5

2) x=7

3) x=8

4) x=4

5) x=7

6) x=8

Step-by-step explanation:

Since each pair is similar, their sides are in ratio:

1)

(2x+2)/6=18/9

2x+2=2*6

2x=12-2

x=10/2

x=5

2)

(x-2)/4=10/8

x-2=1.25*4

x=5+2

x=7

3)

(3x-6)/12=24/16

3x-6=1.5*12

3x=18+6

x=24/3

x=8

4)

(2x+4)/15=16/20

2x+4=0.8*15

2x=12-4

x=8/2

x=4

5)

(x+2)/15=6/10

x+2=0.6*15

x=9-2

x=7

6)

(-3+x)/6=10/12

-3+x=6*(10/12)

x=5+3

x=8

Answer:

Answer: 111∘

Step-by-step explanation:

Answer:

What's the the temperatures?

Step-by-step explanation:

Answer:

7 units

Step-by-step explanation:

To find the distance between a pair of points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (5,5) and (5, -2) into the formula and simplify:

[tex]d= \sqrt{(5-5)^2+(5+2)^2} \\d = \sqrt{(0)^2+(7)^2} \\d = \sqrt{0+49} \\d = \sqrt{49}\\d=7[/tex]

So, the answer is 7 units.

Answer:

-1/3

Step-by-step explanation:

Answer:

y = 18

x = 15.588

Answer:

Volume of triangular prism = 126 cm³

Step-by-step explanation:

Given:

Base of side triangle = 6.3 cm

Height of triangular prism = 4 cm

Length of side = 10 cm

Find:

Volume of triangular prism

Computation:

Volume of triangular prism = Area of triangular cross section x Length of side

Volume of triangular prism = (1/2)(b)(h) x Length of side

Volume of triangular prism = (1/2)(6.3)(4) x 10

Volume of triangular prism = (6.3)(2) x 10

Volume of triangular prism = 12.6 x 10

Volume of triangular prism = 126 cm³

Answer:

IQR = 2.5

Step-by-step explanation:

Question 5:

IQR=Q1-Q3

IQR=4.75-2.25 = 2.5

Question 4:

Q1=2.5 and Q3=4.75 between those two is the median so, it may be 3.0 or 3% just not positive on question 4.

Can anyone else help on question 4?

Answer:

36

Step-by-step explanation:

nine times 4 is 36 making it 36 options to choose from

hope this helps! :)

Answer:

the perimeter of the shape is 13cm

Step-by-step explanation:

Perimeter is the distance round a shape. As for polygons perimeter is the sum of all the sides. In this polygon, the sum of all the sides is 5cm + 1cm + 1cm + 2cm + 4cm which is equal to 13cm

Answer:

The answer is 65%

Step-by-step explanation: Divide 60 by 39 and multiply by 100. So it will look like 39/60=0.65*100=65%. I hope this helps. :)

Answer:

The range of the function is: -∞≤y≤∞.

Consider the provided function.

The range of the function is the set of all values which a function can produce or the set of y values which a function can produce after substitute the possible values of x.

The range of a cubic root function is all real numbers.

Now consider the provided function.

The above function can be written as:

Taking cube on both sides.

The graph of the function is shown in figure 1:

For any value of x we can find different value of y.

Here, the cube root function can process negative values. Since, the function can produce any values, the range of the given function is  -∞≤y≤∞ .

Therefore, the range of the function is: -∞≤y≤∞ (A).

Answer:

It’s 330

Step-by-step explanation:

Just multiply 440 by 0.75 and you would get 330. Have a nice day!

Answer:

0.06938775

Step-by-step explanation:

This is the correct answer.

Answer:

10, exponents, 10, expression

Step-by-step explanation:

Answer:

1120

Step-by-step explanation:

area of triangle= 1/2★base★height

area of traingle =1/2★15★8=60

area of 2 triangle= 60+60=120

area of base rectangle= length ★breath

=15★25=375

area of slanting rectangle= 25★17=425

area of side rectangle=8★25=200

so total area= 120+375+425+200=1120

Answer: $9

Step-by-step explanation: 85% off means when you multiply the number by 0.85 you subtract that from the original number, 60 times 0.85 is 51 and 60-51=9! Hope this helps!

Answer:

3x+16

Step-by-step explanation:

Answer: We cannot assume independence for the cars sampled from plant B.

Step-by-step explanation: Khan Academy “With a sample size of 10 cars, we need at least 100 cars in the population to assume independence based on the 10% condition, but there are only 80 cars made each day at plant B.”

Answer: We cannot assume independence of the cars sampled from plant B.

Step-by-step explanation:

Answer:

x=2 (-7 , then -5 for the drag part)

Answer:

2

Step-by-step explanation:

Answer:

Semiconductors are somewhere in-between conductors and insulators. This means that they are specific when it comes to conducting electricity meaning that their conduction of electricity varies based on their condition at the time.

For instance, they can conduct electricity when heated.

Properties:

    1. Perfect insulator at Absolute Zero.

As mentioned above, semi conductors are better at conducting electricity when they are heated. At Absolute zero - the lowest temperature possible -  therefore, these materials would conduct absolutely no electricity thereby making them perfect insulators.

   2. More resistance than Conductors but less than Insulators

As mentioned above, they have properties in-between those of insulators and conductors. One of those is their resistance. They can resist more than conductors but less than insulators.