Mathematics High School

Find the volume of the figure the diameter of the base is 4 cm

The figure is a cylinder that has d= 4 cm and h= 2.5 with a hemisphere on the top that has the same diameter as the cylinder (4 cm)


Please help! Thanks!

Answer Choices:
A. 22π cm^3
B. 152/3 π cm^3
C. 62/3 π cm^3
D. 46/3 π cm^2

Answers

Answer 1
The answer is B. 152/3 pi cm^3.
Answer 2

D

Total volume = volume of cylinder + volume of hemisphere

Total volume = pi * r^2 * h  + 2/3 * pi * r^3, where r = 2 and h = 2.5

total volume = 46/3 pi cm^2


Related Questions

a bag contains 7 red marbles 6 green marbles 5 yellow marbles and 2 orange. marbles are drawn twice with a replacement. what is p {yellow and green?

a coin is tossed and a number cube is rolled. what is p{h, then prime number?

letter tiles that spell the word happiness are replaced in a bag. a tile is drawn and then a second tile is drawn. find p then vowel p?

Answers

yellow 3 green
[tex]226[/tex]

Question 1:

We have been given that a bag contains 7 red marbles, 6 green marbles, 5 yellow marbles, and 2 orange. Further we are given that marbles are drawn twice with a replacement. We need to figure out the probability P(Yellow and Green).

Basically, we need to determine the probability that first marble drawn is yellow and second marble drawn is green.

Probability of first marble drawn being yellow is [tex]\frac{5}{20}=\frac{1}{4}[/tex] and probability of second marble drawn being green is [tex]\frac{6}{20}=\frac{3}{10}[/tex].

Therefore, the probability P(Yellow and Green) = [tex]\frac{1}{4}\cdot \frac{3}{10}=\frac{3}{40}[/tex].

Question 2:

We have been given that a coin is tossed and a number cube is rolled and we need to find the probability P(H, prime number).

Probability of getting head on the coin is [tex]\frac{1}{2}[/tex].

Probability of getting a prime number on the cube is [tex]\frac{3}{6}=\frac{1}{2}[/tex].

Therefore, probability P(H,  prime number) = [tex]\frac{1}{2} \cdot \frac{1}{2}=\frac{1}{4}[/tex]

The sum of two numbers is 0.25. their quotient is 0.25. find the numbers.

Answers

[tex]n,\ m-the\ numbers\\\\n+m=0.25\qquad(*)\\\\n:m=0.25\to\dfrac{n}{m}=0.25\to n=0.25m\qquad(**)\\\\\text{Substitute}\ (**)\ \text{to}\ (*):\\\\0.25m+m=0.25\\\\1.25m=0.25\qquad\text{divide both sides by 1.25}\\\\\boxed{m=0.2}\\\\\text{Put the value of }\ m\ \text{to}\ (**):\\\\n=0.25(0.2)\\\\\boxed{n=0.05}\\\\Answer:\ \boxed{0.05\ and\ 0.2}[/tex]

Martha states that –6 is a rational number. Which is a correct explanation for this statement?
The number –6 is the opposite of 6.
The number –6 is a negative integer.
The number –6 can be written as -6/1
The number –6 is less than 0.

Answers

Martha's statement saying - 6 is a rational number is correct as - 6 can be written as - 6/1.

What are rational numbers?

Rational numbers consist of fractions and integers.

Any rational number can be written in the form of p/q, where q ≠ 0.

Any integer can be written in the form of a rational number p/q, where q ≠ 0 and q = 1.

Given, Martha states that - 6 is a rational number.

First, it is a negative integer but it can be written in the form - 6/1 as - 6/1 is equal to 6.

learn more about rational numbers here :

https://brainly.com/question/1310146

#SPJ6

Final answer:

Martha is correct in stating that -6 is a rational number because it can be written as -6/1.

Explanation:

Martha is correct in stating that -6 is a rational number because it can be written as -6/1. A rational number is any number that can be expressed as a fraction, where both the numerator and denominator are integers. In this case, -6 can be written as the fraction -6/1.

The circle graph shows the portions of the time that Ralph spent playing different games.

Which two types of games did Ralph spend a total of 9/10 of his time playing?

Choose exactly two answers that are correct. exactly two plz!!







A.
Truck Rider

B.
Space Cadet

C.
Trivia Tasks

D.
Wizard Maze

Answers

I would go with letters C and D.
I agree with you C and D

A family took a trip. They spent $90.71 for gasoline, $153.00 on meals, $197.00 on amusements, and $73.38 on miscellaneous expenses. How much did the trip cost?

Answers

Hello!

Theoretically, the actual TRIP cost $90.71, because the extra money spent was on other things other than the transportation, which is the main part of the trip.

but in total, DURING that trip, they spent $514.09

I hope this helps, and have a nice day!

Maria is traveling for business. She starts by traveling from Mexico City to Singapore which is about 1.26 x 104 miles. She then travels from Singapore to New York which is approximately 9.53 x 103 miles. What is the total distance that Maria traveled?

Answers

The answer is 1112.63 miles or 1113 miles because:
1.26 x 104 = 131.04
9.53 x 103 = 981.59
131.04 + 981.59 = 1112.63

Hope this helps :)

Answer:

D  

2.213 x 10^4 miles

Step-by-step explanation:

Took the test

What is the probability of drawing five face cards?

Answers

Total number of cards = 52
Total number of face cards = 12

P( 5 face cards) = (12/52)(11/51)(10/50)(9/49)(8/48) = 33/108290


Answer: 33/108290

A principal of $3900 is invested at 6.5% interest, compounded annually. How much will the investment be worth after 5 years? Use the calculator provided and round your answer to the nearest dollar.

Answers


[tex]3900 \times 0.065 \times 5 = 1267.5 \\ 1267.5 + 3900 = 5167.5[/tex]

Answer:

The answer would to be able to multiply the answers together. For example, the answer for this question would be 5,343 dollars rounded to the nearest tenth.

Step-by-step explanation:


The measure of a squares side is 1.2 feet. What is the perimeter of the square in inches?

Answers

1.2 feet  = 12 * 1.2  = 14.4 inches

perimeter = 4 * 14.4 =  57.6 inches.

If you are examining a triangle with given measurements for one leg and the hypotenuse, how will you determine the measure of the unknown leg? Explain.

Answers

The Pythagorean Theorem.If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse

By using Pythagoras theorem, length of one leg of triangle can be determined.

Given:

A triangle with length of one leg and the hypotenuse

According to question,

Let the length of one leg of triangle which can be base [tex](b)[/tex] or perpendicular [tex](p)[/tex] and hypotenuse represented by [tex](h)[/tex].

Now, using Pythagoras theorem which states that if a triangle is right-angled ([tex]90[/tex] degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

From the figure,

In [tex]\Delta AOB, \;\angle O=90^\circ[/tex]

[tex]\rm{H^2=P^2+B^2}\\\rm{AB^2=AO^2+OB^2[/tex]

  [tex]h^2=p^2+b^2[/tex]

 [tex]b=\sqrt{h^2-p^2}\\[/tex]

       or

[tex]p=\sqrt{h^2-b^2}\\[/tex]

Therefore, length of one leg of the triangle is determined by using Pythagoras theorem.

Learn more about Pythagoras theorem here:

https://brainly.com/question/15138986

The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square​ kilometers, find the dimensions of the rectangle.

Answers

Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
[tex]x(2x - 6) = 2 {x}^{2} - 6x[/tex]

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

[tex]2 {x}^{2} - 6x = 108[/tex]
Subtract 108

[tex]2 {x}^{2} - 6x - 108 = 0[/tex]
Divide by 2.

[tex] {x}^{2} - 3x - 54[/tex]
[tex](x - 9)(x + 6) = 0[/tex]
Rule AB = 0, gives A is 0 or B is 0.

[tex]x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6[/tex]

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
[tex]x = 9[/tex]
Width
[tex]2x - 6 = 2 \times 9- 6 = 18 - 6 = 12[/tex]

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!

A climber is standing at the top of Mount Kazbek, approximately 3.1 miles above sea level. The radius of the Earth is 3959 miles. What is the climber's distance to the horizon?

Answers

I just took a test for K12 with this question. Your answer will be 156.7 miles 

The radius of the earth = OC = OB = 3959 miles

Peak of the Mount Kazbek = A = 3.1 miles

OA = OC + CA

OA = 3959 + 3.1 = 3962.1 miles

As OBA is a right triangle,

[tex] OA^{2} [/tex] = [tex] OB^{2} [/tex] + [tex] AB^{2} [/tex]

[tex] 3962.1^{2} [/tex] = [tex] 3959^{2} [/tex] + [tex] AB^{2} [/tex]

15698236.41 = 15673681 + [tex] AB^{2} [/tex]

[tex] AB^{2} [/tex] = 15698236.41 - 15673681

[tex] AB^{2} [/tex] =24555.41

AB = 156.701659

climber's distance to the horizon is 156.7 miles




Which of the following sets of possible side lengths forms a right triangle? 12, 35, and 38 11, 60, and 61 9, 40, and 45 6, 12, and 13

Answers

The possible sides of a rectangle triangle are:
 11, 60, and 61
 Let's check it using the Pythagorean theorem.
 We have then:
 ROOT ((a) ^ 2 + (b) ^ 2) = c
 Where,
 a = 11
 b = 60
 ROOT ((11) ^ 2 + (60) ^ 2) = 61
 Answer:
 11, 60, and 61

Answer:

11,60, and 61

Step-by-step explanation:

If you flip 3 coins, what is the probability of landing on heads only 2 times? list your answer as a fraction in simplest form.

Answers

Sample space is HHH HHT HTH THH HTT THT TTH  TTT

No. of outcomes with only 2 heads =  3

S0 the Probability of just 2 heads = 3/8

A coin is unbalanced such that it comes up tails 55% of the time.
a.what is the probability that you don't flip a head until the fourth flip?
b.what is the probability that you don't flip a tail until the fourth flip?
c.how many tosses would it take, on average, to flip a head?
d.how many tosses would it take, on average, to flip a tail?

Answers

a. P[TTTTH] = .55^4*.45 = .0412

b. P[HHHT] = .45^4*.55 = .0226 

c. 1/.45 = 2.222 

d. 1/.55 = 1.818

Graph y ≥ (x + 2)2 Click on the graph until the correct graph appears.

Answers

The graph shows a parabola with a solid line and shading above or on the curve to represent the inequality [tex]y\geq (x+2)^{2}[/tex] This graph visually illustrates the solution set for the given inequality.

To graph the inequality [tex]y\geq (x+2)^{2}[/tex] we first need to plot the parabola [tex]y=(x+2)^{2}[/tex] with a solid line. The vertex of the parabola is at [tex](-2,0)[/tex]  and it opens upwards.

Next, we shade all the regions above or on the parabola to represent the inequality [tex]y\geq (x+2)^{2}[/tex] Since the inequality includes "or equal to" [tex](\geq )[/tex] we use a solid line for the graph of the parabola.

By following these steps, we create a graph where the area above or on the parabola is shaded, indicating the solutions to the inequality [tex]y\geq (x+2)^{2}[/tex] his shading represents all the points.

where the y-values are greater than or equal to the corresponding y-values on the parabola. The solid line ensures that points on the parabola itself are included in the solution set.

In summary, the graph shows a parabola with a solid line and shading above or on the curve to represent the inequality [tex]y \geq (x+2)^{2}[/tex] This graph visually illustrates the solution set for the given inequality.

The product of some negative number and 10 less than three times that number is 25. find the number.

Answers

n(3n-12) = 25
n=2+1/3√111 or n=2+-1/3√111

The Bright Star Video Club offers the two membership plans described below.

Plan A: $50 yearly membership fee and $2 for each video rental
Plan B: $10 yearly membership fee and $4 for each video rental
Greg is planning to enroll in one of these plans. For how many video rentals would the total cost of Plan A be equal to the total cost of Plan B?
A. 50
B. 20
C. 30
D. 40

Answers

To solve this, you need to create two separate equations and set them equal to each other.

Plan A: y = 2x + 50
Plan B: y = 4x + 10

2x + 50 = 4x + 10

Now solve the combined equation.

2x + 50 = 4x + 10
      - 10          - 10 
 2x + 40 = 4x
-2x           -2x
40 = 2x
x = 20    
you can either graph the following equations, 
Plan A: y=2x+50
Plan B: y=4x+10
and see where they intersect, and that will give you the answer.
OR
You can substitute each answer for x, like this,
A. 50
Plan A:
y=2(50)+50
y=100+50
y=150
Plan B:
y=4x+10
y=4(50)+10
y=200+10
y=210
So, therefore, A.50 is not the answer.
B.20
Plan A:
y=2x+50
y=2(20)+50
y=40+50
y=90
Plan B:
y=4x+10
y=4(20)+10
y=80+10
y=90
So, B.20 is correct but always check the rest of the answers. Just in case
C.30
Plan A:
y=2x+50
y=2(30)+50
y=60+50
y=110
Plan B:
y=4x+10
y=4(30)+10
y=120+10
y=130
So, C.30 is incorrect.
D.40
Plan A:
y=2x+50
y=2(40)+50
y=80+50
y=130
Plan B:
y=4x+10
y=4(40)+10
y=160+10
y=170
So, in conclusion the correct answer is B.20.


F(x)=5x^3-2x^2-3x Polynomial factoring

Answers

[tex]f(x)=5x^3-2x^2-3x=x(5x^2-2x-3)\\\\5x^2-2x-3=5x^2-5x+3x-3=5x(x-1)+3(x-1)=(x-1)(5x-1)\\\\f(x)=x(x-1)(5x-1)[/tex]

I have a question about the application of definite integrals. I came up with the following integral:

[tex] \int\limits^5_0 {62.5 * 6 * 2 * x} \, dx [/tex]


This is equal to 9780. Unfortunately, 9780 ft-lb is not an answer, but 9375.0 ft-lb is! Can someone tell me what is wrong with my integral and if 9375.0 ft-lb is the answer to my question?

Answers

You have the correct integral set up. I'm not sure how you're getting 9780. The correct answer is 9375.0 foot-pounds

The volume of each slice is 6*2*DeltaX cubic feet. So the force pulling down on each slice is 62.5*6*2*DeltaX pounds as this is the weight of the slice. 

The work done to move that slice x feet upward is 62.5*6*2*DeltaX*x or 62.5*6*2x*DeltaX as you wrote for your integrand.

Integrating with respect to x will effectively add up all the horizontal slices to get the total work done

See the attached image for the integral and steps leading to the answer of 9375

how do i answer this question
[tex]7 - 3x = 2x + 7 - 5x[/tex]

Answers

Combine like terms on the right side of the equal sign:

7 - 3x = - 3x + 7

You can rearrange the right side to be:

7 - 3x = 7 - 3x

Because are the same thing, your answer ends up being all real numbers or infinitely many solutions. This means whatever number you plug in for the x-variable, the two sides will always be equal to each other. 

A lion’s heart beats 12 times in 16 seconds.how many heartbeats will it have in 60 seconds?

Answers

Hey there!

Here is your answer:

The proper answer to this question is "44 times".

Reason:

You have to solve it this way:

12 heartbeats=16 seconds

16+16=32
36+16=48
48+16=64
16-12=4
12+12=36+8=44

Therefore lions heart beats 44 times every 60 seconds.

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

K(x)=10x+5 inverse function

Answers

The inverse of the function is k(x) = [tex] \frac{x - 5}{10} [/tex]


You can find the inverse of any function by switching the k(x) value and the x value. After that, solve for the new k(x). The result will be your inverse function. The step-by-step process is below.


k(x) = 10x + 5 ----> Switch the x and k(x)

x = 10k(x) + 5 ----> Subtract 5 from both sides

x - 5 = 10k(x) ----> Divide both sides by 10.

[tex] \frac{x - 5}{10} [/tex] = k(x) ----> Now switch the order for formatting

k(x) = [tex] \frac{x - 5}{10} [/tex]


And this is your new inverse function.

Simplify the function f(x)= 1/2 (27) 2x/3. Then determine the key aspects of the function

Answers

The given expression is:

[tex]f(x)= \frac{1}{2}(27)^{ \frac{2x}{3} } \\ \\ f(x)= \frac{1}{2}((27)^{ \frac{2}{3} })^{x} \\ \\ f(x)= \frac{1}{2}(9)^{x} [/tex]

From the above equation, we can answer all the 4 questions.

a) Initial value occurs when x = 0

So,

[tex]f(0)= \frac{1}{2}(9)^{0}= \frac{1}{2} [/tex]

So, the Initial value of the function is 1/2.

b) Simplified Base:
The base of an exponential function is the term which contains the exponent.
From the simplified equation, we can see that the base has been simplified and is equal to 9.

So, the simplified base is 9

c) Domain:
From the equation we can see that there is no such value which makes the function undefined. So all reall numbers are included in the Domain.

So, Domain is Set of All real numbers. 
In Interval notation this can be expressed as: (-∞,∞)

d) Range:
Range is the set of all y values that a function can take. Since the graph is not shifted vertically up or down, the range will be the set of all real numbers greater than zero.

So, Range is equal to All real numbers greater than 0.
In Interval notation, this can be expressed as (0,∞)

Answer:

The last one is y>0

Roll a 5 win 6 dollars roll a 6 win 12 dollars if you play one time what is your expected reward

Answers

2 out of 30 chance fgdfkglhfldk

please help asap 50 pts

Answers

(-2,-3) is the vertex. Since it is the lowest point, it is the minimum.

The vertex is always the lowest or highest point:

When a parabola looks like a smiley face, it has a minimum (like this one).

When a parabola looks like a frowning face, it has a maximum.

The coordinate for the vertex is (-2, -3).

So, your answer is C.

Based on the information marked in the diagram, ABC and XYZ must be congruent.
Can somebody help ??


A. True
B. False

Answers

Answer: False

There isn't enough info. We have a pair of hypotenuses that are congruent (AB and XY) based on the single tickmarks they share together. Other than that, we don't know anything about any other pairs of sides. We know that angle C = angle Z because of the square angle markers (they're both 90 degrees), but we don't know anything else about the other angles. The triangles could be congruent, or they may not be. There's no way to tell without more information.

Answer: The answer i false

Step-by-step explanation:

A florist earns a profit of $2.00 on each bunch of carnations, $3.00 on each bunch of lilies and $1.00 on a bunch of roses. On a particular day, she sold 46 bunches of flowers and made a profit of $82.00. She sold twice as many bunches of roses as bunches of lilies.

Answers

its your mom cause she was at my house


jk its b. love yah


Make t the subject of the formula

Answers

Move all terms to the left side and set equal to zero.Then set each factor equal to  zero.

[tex]t= \frac{4p+3}{p-2} [/tex]

Hopefully i helped, i suppose ill go answer the other one too hehe well mark brainly if possible ^.^

If area of a circle measures 16/25 pi cm square, what is the circumference of the circle in terms of pi

Answers

A = pi*r^2

(16/25)*pi = pi*r^2

16/25 = r^2

rt(16/25) = r

r = 4/5


C = 2pi*r
C = 2pi*(4/5)
C = (8/5) pi cm
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