Simplify
92
97

1. 95
2.1/99
3.1/9-5
4. 1/95

This question is incomplete, the complete question is;

Find the dimensions of the right circular cylinder of maximum volume that can be placed inside of a sphere of radius R(10cm)

What is the maximum volume?

Answer:

a) Dimensions of the cylinder are; Radius = 8.1650 cm , Height = 11.547 cm

b) the maximum volume is 2418 cm³

Step-by-step explanation:

From the image

radius of the sphere is 10cm

radius of the cylinder is x and its height is 2y

so

The volume of cylinder  is V = πr²h = πx²(2y)

Get V as function of just one variable x² + y² = 100

x² = 100 - y²

Therefore V = π( 100-y² )(2y) = 200πy-2πy³

V will be a maximum when V' = 0

V' = 200π - 6πy² =0

y² = 200π / 6π = 100/3

y = √(100/3) = 5.7735

x² = 100 - y²

x² =100 - (100/3)

x = √(200/3)

x = 8.1650

So The maximum volume will occur when the radius is 8.1650 cm

and the height 2y is 2(5.7735) = 11.547 cm

The maximum volume is

πr²h = π(8.1650)² (11.547 )  

= 2418 cm³

Therefore the maximum volume is 2418 cm³

Answer:

Step-by-step explanation:

1). x + 6y = 12 ⇔ y = [tex]-\frac{1}{6}[/tex] x + 2

3(x - 2) = - y - 4 ⇔ y = - 3x + 2

There is not significant relation between slopes such as:

- "the same" for parallel or the same lines;

- "opposite reciprocals" for perpendicular lines;

Thus, there is only answer option left: "The lines intersect at an angle other than 90°."

2). A(- 2, 3), B(- 2, - 7), C(4, - 5)

AC = [tex]\sqrt{(-2-4)^2 +(3+5)^2}[/tex] = 10

AB = 10

BC = [tex]\sqrt{(-2-4)^2 +(-7+5)^2}[/tex] = 2√10

Triangle is Isosceles.

Answer:

Step-by-step explanation: The answer is Bread(flour) or b(f)

Answer:

4500

Step-by-step explanation:

As long as your number isn't less than 500, it will always round up.

The required least weight of the elephant is 4500 pounds.

Given that,
When rounded to the nearest thousand an elephant weight is 5,000 pounds. What is the least amount the elephant could weigh is to be determined.

The process in mathematics to operate and interpret the function or expression to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here, in the question, the rounded value of the elephant is given which is 5000 pounds, the least value that can be round to the nearest hundred is 4500.

Thus, the required least weight of the elephant is 4500 pounds.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2

Answer:

A.

Step-by-step explanation:

We have the expression:

[tex]-6a+2(2a+2)[/tex]

First, let’s distribute the 2 on the right:

[tex]=-6a+2(2a)+2(2)[/tex]

Multiply:

[tex]=-6a+4a+4[/tex]

Now, combine like terms:

[tex]=-2a+4[/tex]

Hence, our answer is A.

Answer:

a

Step-by-step explanation:

Answer:

I'm thinking it's 9

Step-by-step explanation:

Answer:

D, m<4 is 137°

Step-by-step explanation:

The answer would be D, because m<4 would be supplementary with the angle that's 43 degrees. Supplementary angles add up to 180, so this could be found through the following equation.

x + 43 = 180

x would represent <4

You would now subtract 43 from both sides.

x = 137

Answer:

D. The m<4 is 137°

Step-by-step explanation:

The rest of the angles are not correct because if you add 142+56 (adjacent angles) or the unknown angles (angle 1 + angle 2), it doesn't equal 180. You can picture it as angle 3 and its adjacent angle (56°) equal to 180 sience there sharing one straight line thus being 180°

Answer:

a= 336 different ways

b= 10 possible combinations

Step-by-step explanation:

As it is a definite machine and it must have ordered combinations therefore it is a permutation question . So finding 3 out of eight

8 P 3= 336  different ways the eight machines be arranged in the three spaces available.

Since the parts are randomly selected and there is no distinct pattern therefore combinations is used to solve this.

5C2 = 10 possible combinations of two parts can be selected.

Answer:

? = 45º

Step-by-step explanation:

top right angle = 180-45 = 135º

high middle left angle = 135º

high middle right angle = 45º

low middle left angle = 45º

low middle right angle = 135º

bottom left angle = 135º

bottom right angle = 45º

Answer:

a) Kylie has 8 marbles

b) 7 Cylinders

c) 17 carrots

d) 8 marbles belong to Shauntay

Step-by-step explanation:

5. Identify the type and subtype of each of the fol-

lowing problems.

a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?

Shawn = 15 marbles

S = K + 7

15 = K + 7

K = 15 - 7

K = 8 marbles

Kylie has 8 marbles

b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?

T = 12 blocks

Cubes = 5

Cylinders = the rest

12 blocks = Cubes + Cylinders

Cylinders = 12 - Cubes

Cylinders = 12 - 5

Cylinder = 7

c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?

Number of carrots Peter has before

= Number of carrots he ate + Number of carrots he has now

= 14 + 3

= 17 carrots

d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?

Total number of Marbles = 17

Kelly = 9 marbles

Shauntay = ?

Total = Kelly + Shauntay

Shauntay = Total - Kelly's marbles

= ( 17 - 9) marbles

= 8 marbles

8 marbles belong to Shauntay

Answer:

a) Kylie has 8 marbles

b) 7 Cylinders

c) 17 carrots

d) 8 marbles belong to Shauntay

Step-by-step explanation:

5. Identify the type and subtype of each of the fol-

lowing problems.

a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?

Shawn = 15 marbles

S = K + 7

15 = K + 7

K = 15 - 7

K = 8 marbles

Kylie has 8 marbles

b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?

T = 12 blocks

Cubes = 5

Cylinders = the rest

12 blocks = Cubes + Cylinders

Cylinders = 12 - Cubes

Cylinders = 12 - 5

Cylinder = 7

c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?

Number of carrots Peter has before

= Number of carrots he ate + Number of carrots he has now

= 14 + 3

= 17 carrots

d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?

Total number of Marbles = 17

Kelly = 9 marbles

Shauntay = ?

Total = Kelly + Shauntay

Shauntay = Total - Kelly's marbles

= ( 17 - 9) marbles

= 8 marbles

8 marbles belong to Shauntaya) Kylie has 8 marbles

b) 7 Cylinders

c) 17 carrots

d) 8 marbles belong to Shauntay

Step-by-step explanation:

5. Identify the type and subtype of each of the fol-

lowing problems.

a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?

Shawn = 15 marbles

S = K + 7

15 = K + 7

K = 15 - 7

K = 8 marbles

Kylie has 8 marbles

b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?

T = 12 blocks

Cubes = 5

Cylinders = the rest

12 blocks = Cubes + Cylinders

Cylinders = 12 - Cubes

Cylinders = 12 - 5

Cylinder = 7

c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?

Number of carrots Peter has before

= Number of carrots he ate + Number of carrots he has now

= 14 + 3

= 17 carrots

d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?

Total number of Marbles = 17

Kelly = 9 marbles

Shauntay = ?

Total = Kelly + Shauntay

Shauntay = Total - Kelly's marbles

= ( 17 - 9) marbles

= 8 marbles

8 marbles belong to Shauntay

Step-by-step explanation:

Answer: 3,583.32

Step-by-step explanation:

Use money chimp calculator

Answer:

[tex]Total = \$5.94[/tex] ---- in dollars

[tex]Total = 594\ cents[/tex] ---- in cents

5 dollars 94 cents

Step-by-step explanation:

Given

Pears

[tex]Weight = 2\frac{3}{4}\ lb[/tex]

[tex]Amount = \$0.76[/tex] per pound

Grapes

[tex]Weight = 2\frac{3}{4}\ lb[/tex]

[tex]Amount = \$1.40[/tex] per pound

Required

Determine the amount paid for the fruit in dollar and cents

First, we need to calculate the amount paid for each fruit.

This is calculated by multiplying the amount per pound by the number of pounds bought.

For Pears:

[tex]Total_{Pears} = 2\frac{3}{4} * \$0.76[/tex]

Convert fraction to decimal

[tex]Total_{Pears} = 2.75 * \$0.76[/tex]

[tex]Total_{Pears} = \$2.09[/tex]

For Grapes

[tex]Total_{Grapes} = 2\frac{3}{4} * \$1.40[/tex]

Convert fraction to decimal

[tex]Total_{Grapes} = 2.75 * \$1.40[/tex]

[tex]Total_{Grapes} = \$3.85[/tex]

Next, we add both amounts together to get the total amount spent in dollars.

[tex]Total = Total_{Pears} + Total_{Grapes}[/tex]

[tex]Total = \$2.09 + \$3.85[/tex]

[tex]Total = \$5.94[/tex]

Multiply by 100 to convert this amount to cents

[tex]Total = 5.94 * 100\ cents[/tex]

[tex]Total = 594\ cents[/tex]

And it can be represented as dollars and cents as:

5 dollars 94 cents

Answer:

ITS THE 2ND ONE

Step-by-step explanation:

Answer:

y = 5/4x - 1

Step-by-step explanation:

if you look at the graph you will probably be able to tell

im not trying to be me if you think

Answer:

x = 19

Step-by-step explanation:

Trapezium area formula: [tex]\frac{a+b}{2} * h[/tex], where a & b are the two bases.

Now, if we plug in our known values, we can solve for the missing base.

[tex]\frac{5 + x}{2} * 4 = 48[/tex]

[tex]\frac{5 + x}{2} = 12\\\\5 + x = 24\\\\x = 19[/tex]

Answer:

Yes I would have to agree with Goliath, x = 19.

Step-by-step explanation:

You can mark Goliath Brainlest if you want they did the answer first.

Answer:

1/10

Step-by-step explanation:

Cynthia has a bag of jellybeans.

There are two red jellybeans, one yellow jellybean, and two black jellybeans in her bag.

total no. of red jellybeans = 2

total no. of jellybeans = 20

Now,

2 ÷ 20 = 1/10

Thus, The probability that she gives him two red jellybeans is 1/10

Answer:

D. This is a dependent event because Pedro ate the jellybeans, and they cannot be replaced.

Step-by-step explanation:

Pretty much, dependent means it can’t be replaced and independent means it can be replaced.

Answer:

169

Step-by-step explanation:

Answer:

D. 9

General Formulas and Concepts:

Alg I

Step-by-step explanation:

The meaning of f(2) is x = 2. The question is asking us to find the y-value when x = 2.

According to the graph, when x = 2, y is somewhere between 8 and 10. The graph looks like it intersects right in the middle of those 2, so the y-value when x = 2 would be 9.

Therefore, f(2) = 9.

Answer:

Step-by-step explanation:

9 is the correct answer

Answer: The answer is -4. Hope this helps!

Answer:

The maximum value of the table t(x) has a greater maximum value that the graph g(x)

Step-by-step explanation:

Hope this helps :P

Answer:

$15 an hour

Step-by-step explanation:

To find this, we divide 120 by 8.

120 ÷ 8 = 15

So Jane gets $15 an hour

I hope this helped, please mark Brainliest, thank you!

Answer:

I believe the answers in the blank should be 4

Step-by-step explanation:

Answer:

= (4 x 5) + (4 x 2)

Step-by-step explanation:

remember to multiply first, before doing the addition. in this case, multiply 4 by 5, then 4 by 2 to get your answer using distributive property. i always remember the distributive process because if you take off a few letters, it makes distribute. you basically distribute 4, you give each number (5 and 2) a 4 and multiply them. hope this made sense lol

Answer:

the problem is like that or is showing u how are the equations ?

Answer:

transformations of function 3(-7(x+2))-4

Answer:

-36

Step-by-step explanation:

Answer:  inequality form x < 3    interval form: ( -∞, 3)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

y=-3(-4)+5,,,, you get y=12+5  y=17

y=-3(-2)+5,,,, you get y=6+5  y=11

y=-3(0)+5,,,, you get y=0+5  y=5

y=-3(2)+5,,,, you get y=-6+5 y=-1

Step-by-step explanation:

Answer:

8.25 batches.

(Or, if rounding to the lowest amount of batches, 8 batches)

Step-by-step explanation:

We have in total 5 1/2 cups of sugar.

And the recipe calls for 2/3 cups of sugar.

So, to find out how many batches we can make, we can divide the amount of have by the amount needed. So:

[tex]5\frac{1}{2}\div\frac{2}{3}[/tex]

Let's convert the first fraction to improper form. We have 5 1/2. So, in improper form, it will be (5(2)+1)/2 or 11/2.

Therefore:

[tex]=\frac{11}{2}\div\frac{2}{3}[/tex]

To divide fractions, we keep, change, and flip. Therefore:

[tex]=\frac{11}{2}\times\frac{3}{2}[/tex]

Multiply straight across:

[tex]=\frac{33}{4}=8.25[/tex]

So, we can make 8.25 batches.

Or, we can make 8 full batches.