Consider a right cone with radius 2 and height 6. Its volume is V = π(2)26, or 8π units3.


If the height is changed to 3, does this have the same effect on the volume as changing the radius to 1?

If the height is now 3, then the new volume is π units3.

If the radius is now 1, then the new volume is π units3.

Therefore, changing the height to half of its original value and changing the radius to half of its original value does the volume. Halving the height of the cone the volume, while halving the radius of the cone results in the volume.

Answer:

300+4x < (9+5)*x

Step-by-step explanation:

x is number of times Robert goes to the gym

Answer:

5d+ 9d=300+4d

Step-by-step explanation:

Answer on EDGE

The pentagon was reflected across the x-axis. By looking at Point A, you can see x was increased 8, x+8. Also, y was increased by 2, y+2.

Answer:

The correct option is c.

Step-by-step explanation:

From the given figure it is clear that the vertices of preimage are A(-5,-2), B(-7,-3), C(-6,-6), D(-3,-5) and E(-3,-3).

The vertices of image are A'(3,6), B'(5,5), C'(4,2), D'(1,3) and E'(1,5).

If figure translated 2 units right and 8 units up then

[tex](x,y)\rightarrow (x+2,y+8)[/tex]

The vertices of pentagon after translation.

[tex]A(-5,-2)\rightarrow A_1(-3,6)[/tex]

[tex]B(-7,-3)\rightarrow B_1(-5,5)[/tex]

[tex]C(-6,-6)\rightarrow C_1(-4,2)[/tex]

[tex]D(-3,-5)\rightarrow D_1(-1,3)[/tex]

[tex]E(-3,-3)\rightarrow E_1(-1,5)[/tex]

If the figure reflected across y-axis, then

[tex](x,y)\rightarrow (-x,y)[/tex]

The vertices of pentagon after translation by rule [tex](x,y)\rightarrow (x+2,y+8)[/tex] followed by reflection across y-axis are

[tex]A_1(-3,6)\rightarrow A'(3,6)[/tex]

[tex]B_1(-5,5)\rightarrow B'(5,5)[/tex]

[tex]C_1(-4,2)\rightarrow C'(4,2)[/tex]

[tex]D_1(-1,3)\rightarrow D'(1,3)[/tex]

[tex]E_1(-1,5)\rightarrow E'(1,5)[/tex]

The pentagon ABCDE translated according to the rule [tex](x,y)\rightarrow (x+2,y+8)[/tex] and reflected across the y-axis to create A'B'C'D'E'.

Therefore, the correct option is c.

Answer:

the answer is 50 percent

Step-by-step explanation:because each of the lines count as 25% and the blue boxes are another 25% each.  so the answer is 50%

I don’t know what the answer is I wish I could help

Answer:

[tex]\left[\begin{array}{ccc}12&10&|128\\16&21&|232\end{array}\right][/tex]

Step-by-step explanation:

The two equations Jelani wrote are:

12s+10a=128

16s+21a=232

The coefficient matrix is:

[tex]\left[\begin{array}{cc}12&10\\16&21\end{array}\right][/tex]

The constant matrix is:

[tex]\binom{128}{232}[/tex]

The augmented matrix is the combination of the coefficient matrix and the constant matrix.

[tex]\left[\begin{array}{ccc}12&10&|128\\16&21&|232\end{array}\right][/tex]

Answer:

[tex]\large\boxed{\left[\begin{array}{ccc}12&10&128\\16&21&232\end{array}\right] }[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}ax+by=n\\cx+dy=m\end{array}\right\Rightarrow\left[\begin{array}{ccc}a&b&n\\c&d&m\end{array}\right][/tex]

[tex]\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}12s+10a=128\\16s+21a=232\end{array}\right\Rightarrow\left[\begin{array}{ccc}12&10&128\\16&21&232\end{array}\right][/tex]

Answer:

The substitution is

[tex]u = x ^ 4[/tex]

[tex]u ^ 2 -3u +2 = 0[/tex]

Step-by-step explanation:

We have the 8th degree polynomial equation

[tex]x ^ 8 - 3x^4 -+2 = 0[/tex]

To rewrite the equation as a quadratic function, take the common factor of the term x with the smallest exponent, in this case it is [tex]x ^ 4[/tex].

Now make a change of variable

[tex]u = x ^ 4[/tex].

So rewriting the equation in terms of u, we have:

[tex]u ^ 2 -3u +2 = 0[/tex]

Now the initial equation became a quadratic equation

Factoring is left:

[tex](u-2) (u-1) = 0[/tex]

[tex]u = 2[/tex] and [tex]u = 1[/tex]

[tex]x ^ 4 = 2[/tex] and [tex]x ^ 4 = 1[/tex]

Answer:

substitution should be p =  x⁴

Step-by-step explanation:

It is given that,

x⁸ -  3x⁴ + 2 = 0

we can rewrite the equation,

(x⁴)² - 3x⁴ + 2 =0

To find the substitution

Here we can see that x⁴ is common in two terms of the given equation

we can substitute p instead of x⁴, the equation becomes,

p² - 3p +2 = 0

Therefore substitution should be used to rewrite x8 – 3x4 + 2 = 0 as a quadratic equation is p =  x⁴

Answer:

5. LA = 301.6 sq. cm.,  SA = 402.1 sq. cm.

6. LA = 377.0 sq. in.,  SA = 603.2 sq. in.

7.  LA = 113.1 sq. cm.,  SA = 169.6 sq. cm.

8. LA = 502.7 sq. cm.,  SA = 603.2 sq. cm.

9. 396 sq. in.

Step-by-step explanation:

The lateral area is the area of all the faces, except the base(s). The surface area is the area of ALL the faces of the shape.

5.

The lateral area of a cylinder is given by the formula:

LA = 2πrh

where r is the radius and h is the height of the cylinder

So, lateral area would be 2π(4)(12) = 301.6 sq. cm.

The surface are would be the lateral area (301.6) PLUS the area of 2 of the circular bases. Circle has an area of πr^2.

So 2 bases would have area of (π(4)^2)*2=100.5

Thus, the surface area = 301.6 + 100.5 = 402.1

6.

The lateral area would be LA = 2πrh

The radius is given as 6 and height as 10. Plugging it would give us:

LA = 2πrh = 2π(6)(10) = 377.0 sq. in.

For the surface area, we would need to add the top and bottom (which are 2 identical circles with area πr^2 each) with the lateral area. So we have:

2 * (π(6)^2)

=226.2

Surface area = 377.0 + 226.2 = 603.2 sq. in.

7.

The radius of the cylinder is 3 and height is 6. We will plug them into the respective formulas.

lateral area:

LA = 2πrh = 2π(3)(6) = 113.1

surface area:

area of 2 circles (top and bottom) = (πr^2)*2 = (π(3)^2)*2 = 56.5

Surface area = 113.1 + 56.5 = 169.6

8.

diameter is given as 8, so radius is half of it. Hence, radius is 4 and height given as 20.

Plugging these values into the respective formula we will get the answer.

lateral area:

LA = 2πrh = 2π(4)(20) = 502.7

surface area:

area of both the circles (top and bottom) PLUS the lateral area of 502.7.

So, surface area = 502.7 + (πr^2)*2 = 502.7 + (π(4)^2)*2 = 603.2  

9.

The frosting area of area of two rectangles (left and right) + area of two rectangles (back and front) + area of rectangle (top).

So, surface area of the frosting part = 2 (4*15) + 2(4*12) + (12)(15) = 396

Answer:

5x-2x

///////////////

Step-by-step explanation:

Answer:

[tex]5x-2x[/tex]

Step-by-step explanation:

Let's call that number [tex]x[/tex].

when we are asked for a difference we must substract quantities.

In this case we need the difference between five times a number  (the number is represented by [tex]x[/tex]) and twice that number:

five times the number x is equal to

[tex]x+x+x+x+x=5x[/tex]

twice that number x is equal to:

[tex]x+x=2x[/tex]

thus, the difference is: [tex]5x-2x[/tex]

Answer:

The scale factor is 2/3.

Step-by-step explanation:

Given data,

The given image is (6,9)

The image after dilation is (4,6)

The scale factor is calculated by dividing the resultant image by the initial image.

For example, if the initial dimensions are (x1, y1) and the final dimensions are (x2,y2). The scale factor is calculated using x2/x1 = y2/y1 = Scale Factor  

In our scenario,

x1  = 6

x2 = 4

y1  = 9

y2 = 6

Scale Factor = x2/x1

=> 4/6

=> 2/3

Similarly for y axis,

Scale Factor = y2/y1

=> 6/9

=> 2/3

Therefore, the scale factor is 2/3.

C is the correct answer

4/3πr^3 is the equation to solve for volume.

Since the radius is 5 cm (10/2), we know the equation is 4/3π125

166 2/3π cm^3

or

523 1/3 cm^3

Final answer:

The volume of a sphere with a 10 cm diameter is approximately 523.6 cubic centimeters when rounded to the nearest tenth.

Explanation:

The student is asking for the volume of a sphere with a given diameter of 10 cm. To calculate the volume, you use the formula for the volume of a sphere, which is V = (4/3)πr³.

First, we need to find the radius of the sphere, which is half of the diameter, so the radius (r) is 5 cm. Plugging this into the formula gives us V = (4/3)π(5 cm)³. Now we calculate the volume: V = (4/3)π(125 cm³) ≈ 523.6 cm³ when rounded to the nearest tenth. So, the volume of the sphere is approximately 523.6 cubic centimeters.

72 square inches.

Start by finding the dimensions of the scale drawing. If 36 divided by a number equals 9, then that number is 4. 36 / 4 = 9

So, you need to divide 32 by 4 as well to get 8.

This means the scale drawing is 9 inches long and 8 inches wide.

Finally, to find the area, multiply the length and width together. 9 * 8 = 72

The area of the scale drawing is 72 square inches.

Answer is C: (-∞, ∞)

Answer:

Step-by-step explanation:

There is no restriction on the input values of x , since it is periodic it can have any real value. Hence the domain of cos (2x) is (-∞,∞).

Because cos is periodic the output value keeps on repeating for any smaller or bigger input x .

Ok I got it.

Question 1 - Demetrius, Jackson, Tyler, and Amelia

Question 2 - Winslow

Question 3 - Joe

Question 4 - Harley and Jasmine

Question 5 - No one recieves fifteen minutes of free time

I hurried this one because Imma go see avengers endgame.

I hope this helps you very much.

I would appreciate making me the brainliest.

Thanks in advance

Answer:

40

Step-by-step explanation:

The given geometric series is:

[tex]\sum_{n=1}^4(-2)(-3)^{n-1}[/tex].

When n=1, [tex]a_1=(-2)(-3)^{1-1}[/tex], [tex]\implies a_1=(-2)(-3)^{0}=-2[/tex]

When n=2, [tex]a_2=(-2)(-3)^{2-1}[/tex], [tex]\implies a_2=(-2)(-3)^{1}=6[/tex]

When n=3, [tex]a_3=(-2)(-3)^{3-1}[/tex], [tex]\implies a_3=(-2)(-3)^{2}=-18[/tex]

When n=4, [tex]a_4=(-2)(-3)^{4-1}[/tex], [tex]\implies a_4=(-2)(-3)^{3}=54[/tex]

The sum of the given series is:

-2+6-18+54=40

-7x/7 > 56/7

x < -8

Diagram with a hollow dot on 8.

All you have to do is divide 9/50, which equals 0.18 Move the decimal 2 units to the right to get 18% as your answer

Hope this helps you!

The 9 is 18% percent of 50.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 18\div 100\\\\= 9\div 50[/tex]

So here we can conclude that The 9 is 18% percent of 50.

Learn more: brainly.com/question/6201432

data:

2 scored 100

9 scored 95

10 scored 90

3 scored 80

1 scored 70

set of data:

70, 80, 80, 80, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 95, 95, 95, 95, 95, 95, 95, 95, 95, 100, 100

to find the average score of the spelling test, we have to add all of the numbers up and then divide by 2

all of those numbers added up would be 2,265

next, divide 2,265 by 2

2,265 / 2 = 1,132.5

finally, round 1,132.5

= 1,133 (average score of spelling test)

A class of 25 students took a spelling test. The average score of the students on the spelling test is 90.6.

The average data is calculated as follows:

Given that,

A class of 25 students took a spelling test.

The data of scores of those students:

2 students - 100

9 students - 95

10 students - 90

3 students - 80

1 student - 70

Adding all the scores of each student:

2×100 + 9×95 + 10×90 + 3×80 + 1×70 = 2265

Dividing the sum by the number of students (25):

⇒ 2265/25

⇒ 90.6

Therefore, the average of the given data is 90.6.

Learn more about the average of the data here:

https://brainly.com/question/20118982

#SPJ2

The answer is x equals 1/2.

Answer:

X = - 1/2

Step-by-step explanation:

3x+9-7x=2(x+6)

9-4x=2x+12

6x=-3

x=-1/2

Answer:

There is more wood in a 60​-foot-high tree trunk with a radius of 2.4 ​feet

Step-by-step explanation:

* Lets talk about the right circular cylinder

- It has two circular bases

- The volume of it = Area of the base × its height

- The area of the base = πr²

- The quantity of wood in the tree is the volume of the cylinder

* Lets calculate the volumes the two trees and compare

 between them

- Volume of the first tree:

∵ Its radius = 2.1 feet

∴ The area of its base = π(2.1)² = 4.41π feet²

∵ Its height = 70 feet

∴ Its volume = 4.41π × 70 = 308.7π = 969.8 feet³

- Volume of the second tree:

∵ Its radius = 2.4 feet

∴ The area of its base = π(2.4)² = 5.76π feet²

∵ Its height = 60 feet

∴ Its volume = 5.76π × 60 = 345.6π = 1085.7 feet³

∵ 1085.7 > 969.8

∴ The volume of wood in 2nd tree > the volume of wood in 1st tree

* There is more wood in a 60​-foot-high tree trunk with a radius of 2.4 ​feet

Answer:

(x,7) or (x,10)

Step-by-step explanation:

It is given that two vertices of a right triangle have coordinates (3, 7) and (3, 10), we can see that the x-coordinate is same for both vertices, therefore it is a vertical line and thus base of the right angle triangle.

We need to find the height of this triangle which will be perpendicular to this line, so the value of y-coordinate of third point must be either 7 or 10.

Example

(8,7)

Answer:

60°

68°

76°

193°

Step-by-step explanation:

step 1

Calculate the sum of the interior angles in a pentagon

The formula to calculate the sum of the interior angles is equal to

S=(n-2)180°

where

n is the number of sides

In this problem

n=5 sides

substitute

S=(5-2)180°=540°

step 2

Find the value of x

(x-8)+(3x-11)+(x+8)+(x+(2x+7)=540°

(8x-4)=540°

8x=540°+4°

x=544°/8=68°

step 3

Find the measures of the internal angles of the pentagon

(68-8)°=60°

(3*68-11)=193°

(68+8)=76°

68°

(2*68+7)=143°

was the answer they put right?

Answer:

Her usual speed is 5 miles an hour.

Step-by-step explanation:

Since it takes one hour for her to run ten miles that means she is running at 10 miles an hour. So if you divide that by 2 it would be five.

Answer:

Option A. [tex]b=20.8\ units[/tex]

Step-by-step explanation:

we know that

Applying the law of sines

[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)}[/tex]

substitute the values and solve for b

[tex]\frac{10.73}{sin(25\°)}=\frac{b}{sin(55\°)}\\ \\ b=10.73*sin(55\°)/sin(25\°)\\ \\b=20.8\ units[/tex]

Answer:

    20.8          option A  

Step-by-step explanation:

sine law for triangle states that

sin A / a  = sin B / b = sin C / c   ( equation for sine law )

where m A = 25°

           m B = 55°

a = 10.73

b = unknown

from the equation for sine law

sin m A / a = sin m B / b

sin 25° / 10.73 = sin 55° / b

0.4226 / 10.73 = 0.8191 / b

0.0394 = 0.8191 / b  equation 2

cross multiply equation 2 becomes

0.0394 b = 0.8191

therefore b = 0.8191 / 0.0394 = 20.789 to the nearest tenth will be 20.8

Answer:

y=lxl-1

Step-by-step explanation:

It goes down one.

The formula is:

y=nlx-kl+t

k translates it horizontally.

t translates it vertically.

Answer:

The answer is $12,000 I think check to be sure...Sorry in advance I'm not the best at math guys...    

Step-by-step explanation:

4% of 8472 = 338.88

The salesman will have made $338.88, which is 4% of $8,472.

Answer: $2250

Step-by-step explanation: (2500x.06)=150

150x15=2250

Answer:

I think you want the monthly payment.  (Equation is attached).

Monthly Payment equals 21.10

If you are looking for the total interest paid then we need the

Total Loan Cost Formula. (attached)

The monthly loan rate is .06 / 12 = .005 and

number of payments = 12 months * 15 years = 180

Total Cost = .005 * 2,500 * 180 / 1 -(1.005)^-180

= 3,797.36

Total Cost  3,797.36

Minus Principal 2,500

Equals total interest paid = 1,297.36

Step-by-step explanation:

2 teaspoons

21+21=42 so for every 1 teaspoon there is 42 people

42+42=84 so it’s 2 teaspoons

Answer:

Let's imagine that x is the number of teaspoon of salt needed to make at least 84 cupcakes.

So we know that, 1 batch makes 21 cupcakes, and we need at least 84 cupcakes, so the number of cupcakes batch needed here should be:

84 ÷ 21 = 4 (batches)

Since we knew the number of batches that we need to make the cupcakes, we now calculate the amount of sugar needed. We have:

1/2 teaspoon of salt for every 1 batch.

x teaspoon of salt for every 4 batches.

x = (4 . 1/2) . 1 = 2 (teaspoons)

Answer:

Step-by-step explanation:

The correct zero(s) where the lens material starts and ends are at x = 4 and x = 8.

To find the zero(s) of the quadratic equation [tex]-0.5x^2 + 6x - 16 = 0[/tex]  , we can use the quadratic formula, which is given by:

[tex]\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \][/tex]

where a, b, and c are the coefficients of the quadratic equation [tex]ax^2 + bx + c = 0.[/tex]

For the given equation, a = -0.5, b = 6, and c = -16. Plugging these values into the quadratic formula, we get:

[tex]\[ x = \frac{-6 \pm \sqrt{6^2 - 4(-0.5)(-16)}}{2(-0.5)} \][/tex]

[tex]\[ x = \frac{-6 \pm \sqrt{36 - 32}}{-1} \][/tex]

[tex]\[ x = \frac{-6 \pm \sqrt{4}}{-1} \][/tex]

[tex]\[ x = \frac{-6 \pm 2}{-1} \][/tex]

Now, we have two possible solutions for x:

[tex]\[ x = \frac{-6 + 2}{-1} = \frac{-4}{-1} = 4 \][/tex]

[tex]\[ x = \frac{-6 - 2}{-1} = \frac{-8}{-1} = 8 \][/tex]

Therefore, the zero(s) where the lens material starts and ends are at x = 4 and x = 8. These are the points where the lens maker cuts the lens material along the x-axis for fitting.

Answer:

C) 160 cm3

Step-by-step explanation:

Since each cube represents 2 centimeters you need to multiply by 2 three times, since there are three dimensions. The volume of the figure is 160 cm3

Answer:

C (160)

Step-by-step explanation:

hope it helps brainliest pls

Answer:

6pi; 27pi

Step-by-step explanation:

Since 4:00 is 120 degrees on a clock, then it is 120/360 or 1/3 of the clock. Now let’s find the arch length! Since the radius of the clock is 9, then the circumference will be 18pi. Since 1/3 of the clock is 4:00, then the arc length is 1/3 of the circumference. SO the arc length is 6pi.

Now let’s find the area of the sector. Since the radius is 9, then the area is 81pi. So 1/3 of that is 27pi.