Using the given information, the radius of the sphere to the nearest meter is 13m
Calculating Volume of a sphereFrom the question, we are to determine the radius of the sphere
Using the formula for calculating the volume of a sphere,
[tex]V = \frac{4}{3} \pi r^{3}[/tex]
Where V is the volume
and r is the radius
From the given information,
V = 9198 m³
Then,
[tex]9198 = \frac{4}{3} \times \pi r^{3}[/tex]
[tex]9198 = \frac{4}{3} \times 3.14 \times r^{3}[/tex]
[tex]4 \times 3.14 \times r^{3} = 9198 \times 3[/tex]
[tex]4 \times 3.14 \times r^{3} = 27594[/tex]
[tex]r^{3} = \frac{27594}{4 \times 3.14}[/tex]
[tex]r = \sqrt[3]{\frac{27594}{4\times 3.14} }[/tex]
r = 12.99995 m
r ≅ 13 m
Hence, the radius of the sphere to the nearest meter is 13m.
Learn more on Calculating volume of a sphere here: https://brainly.com/question/21209558
#SPJ1
Select the correct answer. what is the simplest form of this expression? (x 7)(3x − 8) a. 3x2 2x − 15 b. 3x2 29x − 1 c. 3x2 − 29x − 56 d. 3x2 13x – 56
The simplest form of the expression (x + 7)(3x − 8) is 3x² + 13x - 56
How to determine the simplest form of this expression?The expression is given as:
(x + 7)(3x − 8)
Expand the expression
3x² - 8x + 21x - 56
Evaluate the like terms
3x² + 13x - 56
Hence, the simplest form of the expression (x + 7)(3x − 8) is 3x² + 13x - 56
Read more about expressions at:
https://brainly.com/question/723406
#SPJ4
What is 40/36 simplified?
Answer:
40/36 simplified is 10/9
Step-by-step explanation:
40 ÷ 4
36 ÷ 4
Reduced fraction:
10/9
Therefore, 40/36 simplified to lowest terms is 10/9.
Answer:
10/9
Step-by-step explanation:
i hope this helps you good luck on your quiz or lesson! :)
also thanks for the points and not to boher you but can i please have brainlliest thanks
Any other question tell me in the comments!
What is the perimeter of the triangle?
What is the solution to this equation?
m – 3 = 9
m=9
m=6
m=3
m=12
Answer: m=12
Step-by-step explanation:
Answer:
m=12
Step-by-step explanation:
m - 3 = 9
You have to make sure
that m stands alone,
that's making m the subject.
So -3 have to cross the equal to sign,
to become +3
m = 9 + 3
m = 12
Hope this help. I wish you all the best
help me answer this pls
Answer:
Area is = 40
Explanation:
To find the area of a parralelgram use this formula A=b×h
So . .
The base is 20 feet and the height is 4 feet.
So . .
A= 20 × 4 = 40
A=40
what shape always has four congruent sides
Answer:
A rhombus
Step-by-step explanation:
A rhombus is a parallelogram with 4 congruent sides and it always has four congruent sides. It also has two pairs of equal angles.
Answer: rhombus
Step-by-step explanation: Correct answer is a rhombus! A rhombus is a parallelogram with 4 congruent sides and it always has four congruent lines . a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .
Simple probability maze
To solve a simple probability maze calculate the probability in each situation and move through the maze based on these answers.
What is simple probability?This refers to the chances an event happens out of the total outcomes or number of favorable events/ total events.
How to solve a simple probability maze?In this type of maze, you are requested to find the probability of different events and based on this, you can follow a specific pattern to get out of the maze. Due to this, to solve the maze:
Calculate the probability of the first event. For example, the changes of rolling a 6 on the dice. 1 /6 (the dice has 6 sides) = one sixth or 0.166.Now that you have the correct answer move through the direction of that answer, which will take you to another situation.Keep calculating the probabilites and moving based on the answers.Learn more about probability in: https://brainly.com/question/11234923
#SPJ1
Which of the following is the
correct way to express
3.7 x 10-3 in standard form?
A 3.7
B 3,700
C 0.0037
Answer:
0.0037
Step-by-step explanation:
In scientific notation, if the exponent is negative, you shift the decimal to the left to find the number in standard form.
Please help with this. I don’t understand what I’m doing. It’s due tonight
Answer:
.0006
Step-by-step explanation:
I'm not sure if this is correct.. sorry if this is wrong.. :(
Please help me thanks!!!!!!!
Answer:
See below ~
Step-by-step explanation:
Subpart (a) :
⇒ Surface area = 2(3 × 4 + 4 × 5 + 3 × 5)
⇒ Surface area = 2(12 + 20 + 15)
⇒ Surface area = 2(47)
⇒ Surface area = 94 in²
===============================================================
Subpart (b) :
⇒ Volume = 3 × 4 × 5
⇒ Volume = 12 × 5
⇒ Volume = 60 in³
=============================================================
Subpart (c) :
⇒ New surface area = 2 x 94
⇒ New surface area = 188 in²
=============================================================
Subpart (d) :
⇒ New : Original
⇒ 188 : 94
⇒ 2 : 1
There are 440 fish in a pond. If Dylan has caught 45% of them, how many has he caught?
Answer:
198
Step-by-step explanation:
45% of 440
= [tex]\frac{45}{100}[/tex] × 440
= 0.45 × 440
= 198
How to find the simple interest rate if P=$4,000. T=2 years . And I= $320
And pls explain how I can find simple interest in every question bc I’m stressing about math finals
Answer:
3.2
Step-by-step explanation:
Formula to find the simple interest rate :
S.I. = [tex]\frac{PRT}{100}[/tex]
Formula to find R (simple interest rate) :
R = [tex]\frac{100*S.I.}{P*T}[/tex]
Since you have I (interest amount), we can use this formula instead :
R = [tex]\frac{I}{PT}[/tex]
R = [tex]\frac{320}{4,000*2}[/tex] = 4%/year or 0.04
Now plug this into the first formula
S.I. = [tex]\frac{4,000*0.04*2}{100}[/tex] = 3.2
i haven't done this in a while so hope this helps !!
which function does NOT have a period of 2pi?
A. y= sec x
B. y= cos x
C. y= sin x
D. y=tan x
The periods of the functions such sine, cosine, secant and cosecant is 2π; while for tangent and cotangent, the period is π.
What is a function?A function is an expression that show the relationship between two or more numbers and variables.
Periodic functions are functions that repeat themselves over regular intervals. That is they have periods.
The periods of the functions such sine, cosine, secant and cosecant is 2π; while for tangent and cotangent, the period is π.
Find out more on function at: https://brainly.com/question/25638609
#SPJ1
Answer: D
Step-by-step explanation:
A function is an expression that show the relationship between two or more numbers and variables.
Periodic functions are functions that repeat themselves over regular intervals. That is they have periods.
The periods of the functions such sine, cosine, secant and cosecant is 2π; while for tangent and cotangent, the period is π.
Find out more on function at: brainly.com/question/25638609
Please help me with this question. Thanks!
Assuming that all the grapes have the same probability of being randomly picked:
a) 0.11b) 0.24How to find the probabilities?
We know that there are 8 green grapes and 15 red grapes on the bowl, so there is a total of 23 grapes.
a) Here we need to find the probability that both grapes are green. Remember that the probability of getting a green grape is equal to the quotient between the number of green grapes and the total number of grapes, this is:
P = 8/23
But then he must take another, because he already took one, the number of green grapes is 7, and the total number of grapes is 22, so for the second grape the probability is:
P' = 7/22.
The joint probability is the product of the two individual probabilities:
prob = (8/23)*(7/22) = 0.11
b) For the first green grape we know that the probability is:
P = 8/23
Then he must get a red grape. There are 15 red grapes and 22 grapes in total, so the probability is:
P' = 15/22
Then the joint probability is:
prob = (8/23)*(15/22) = 0.24
If you want to learn more about probability:
https://brainly.com/question/25870256
#SPJ1
Write an equation to match each graph.
I already tried y=[x] that didn’t work
Answer:
y=|x|
Step-by-step explanation:
We know
general modulus function passes through origin as |0| is 0
And it's symmetric on both sides of y axis .
As it's not one -one function
Means
f(-1)=|-1|=1f(1)=|1|=1So the graph is y=|x|
Answer:
y = |x|
Step-by-step explanation:
The equation for the part of graph to the right of the y-axis is:
y = x where y ≥ 0
The equation for the part of graph to the left of the y-axis is:
y = -x where y ≥ 0
So we can see that both a positive and negative value of x gives the same positive value of y.
Therefore, we can create an equation for the graph by using the absolute value of x:
⇒ y = |x|
Absolute value means how far away a number is from zero.
"x" is x away from zero and "−x" is also x away from zero.
So the absolute value of x is x, and the absolute value of −x is also x.
The bars either side of the x shows that we want the absolute value of x.
In practice, think of "absolute value" as removing any negative sign in front of a number.
With y = x → when x = 1, y = 1 and when x = -1, y = -1
With y = |x| → when x = 1, y = 1 and when x = -1 we think of it as x = 1, so y = 1
What is the value of the dot shown on the number line below? If the answer is not an integer, enter it as a fraction or mixed number.
=
Given that f(x) = 2x – 2 and
g(x) = 3x, evaluate
,
f(g(-1))
Hope this is not confusing.
in 130,426 the digit 2 is in the _____ place?
2. Which situation does have a final value of 0? A. A jet tose lo a height of 1000 feet ubove the ground. It then descended to a height of 100 feet. B. The tempetature at 1:00 p.m. was 10"F. It dropped another 10 over 4 hours. C Pace deposits $10 in his account and then withdrew $10. D. Keith guinod 8 yards during the first quarter of the football game and then lost 8 yards during the second quarter. pls helpp
Casper collected 108 old baseball cards. He then bought new baseball cards to increase his collection by 25%. How many new baseball cards did he buy?
Answer:
27
Step-by-step explanation:
what I did is used a calculator and did 108 x 0.25 (25% as a decimal)
Find the surface area of a cylinder with a base radius of 6 cm and a height of 8 cm. Use the value 3.14 for , and do not do any rounding. Be sure to include the correct unit. 6 cm 8 cm
The surface area of a cylinder with a base radius of 6 cm and a height of 8 cm will be 301.6 square cm.
What is surface area?The area of the outer layer of any object or cylinder is called the surface area. Here we have a cylinder with a base radius of 6 cm and a height of 8 cm.
The formula for the surface area of a cylinder:-
SA = 2πrl
SA = 2 x π x 6 x 8
SA = 301.6 cm ²
Therefore the surface area of a cylinder with a base radius of 6 cm and a height of 8 cm will be 301.6 square cm.
To know more about surface area follow
https://brainly.com/question/1297098
#SPJ1
Please help me.. First person who answers, gets brainliest :)
Answer:
i believe the answer is 41312432
HELP PLS !!!! help help help
Answer:
x = 6
Step-by-step explanation:
(17*6)+6 = 108
Verify if x > 1 is the solution to the inequality 7 - 4x > −2 (3x - 5).
Answer:
No, x>3/2
Step-by-step explanation:
Too lazy sorry.
At a cricket match, 37 of the spectators were in the covered arena while 15000 were in open. Find the total number of spectators.
Answer:
15037
Step-by-step explanation:
37 are in the covered, while 15000 were in the open area. So, to find the total, all we have to do is add these two figures together:
15000 + 37 = 15037
Hope this helps. Feel free to ask any more questions and I will try my best to help you.
- profparis
Answer:
15,037 spectators
Step-by-step explanation:
Total number of spectators :
⇒ Spectators in covered area + Spectators in the open
⇒ 15000 + 37
⇒ 15,037 spectators
6 of 6
An equilateral triangle with side length 17 cm is shown in the
diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.
The diagram is not drawn accurately.
cm²
Answer:
125.1 cm^2 to 1 D.P.
Step-by-step explanation:
We could use Heron's formula to do this
Area = √(s(s-a)(s-b)(s-c) ) where s is the semi-perimeter and a b and c are the lengths of the 3 sides
So we have:
s = (17+17+17) / 2 = 25.5
and Area = √(25.5)(25.5 - 17)^3)
= √15660.1875
= 125.14 cm^2
sorry last question please awnser
Answer:
T': (9,8)
U': (0,8)
V': (8,4)
Step-by-step explanation:
The coordinates of the vertices of a triangle are A(-1, 2), B(3, 1), and C(-3, -2). The coordinates of the vertices of its image are A'(3, -2), B(7, -3), and C'(1, -6). What transformations would result in this image?
Δ ABC was translated up 4 units and left 4 units.
Δ ABC was translated left 4 units and down 4 units.
Δ ABC was translated up 4 units and right 4 units.
Δ ABC was translated right 4 units and down 4 units.
Best answer gets brainliest!
Answer:
the answer is ABC was translated right 4 units and down 4 units. hope this helped
what is 722 divided by 9
Answer: Heyaa! ~
772 divided by 9 is... 80.2
Step-by-step explanation:
Lets solve! ~
Reduce the expression if possible by cancelling the common factors.Hopefully this helps you! ^^
Select the correct answer from each drop-down menu. determine the number of real solutions for each of the given equations. equation number of solutions y = -3x2 x 12 y = 2x2 - 6x 5 y = x2 7x - 11 y = -x2 - 8x - 16
It should be noted that in the equation y = -3x² + x + 12, there are two real solutions.
How to calculate the real solutions?It should be noted that the number of real solutions of a quadratic equation is represented by y = ax² + bx - c.
In the equation, equation y = -3x² + x + 12, the coefficients are a = -3, b = 1 and c = 12. The discriminant will be:
= 1² - 4(-4)(12)
= 145
It is positive, therefore, it has two solutions.
Learn more about real solutions on:
https://brainly.com/question/10043755
#SPJ4