Answers
Answer:
r = 3m
Step-by-step explanation:
Formula for the volume of a sphere: V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
We want to find the radius so we use algebra to rearrange the equation to make the radius (r) the subject of the equation
Divide both sides by [tex]\frac{4}{3}[/tex]
[tex]\frac{3V}{4}[/tex] = [tex]\pi[/tex][tex]r^{3}[/tex]
Divide both sides by [tex]\pi[/tex]
[tex]\frac{3V}{4\pi }[/tex] = [tex]r^{3}[/tex]
Take the cube root of both sides
[tex]\sqrt[3]{\frac{3V}{4\pi } }[/tex]= r
Substitute V = 36[tex]\pi[/tex] into the equation
r = [tex]\sqrt[3]{\frac{3(36\pi) }{4\pi } }[/tex]
Expand the bracket
r = [tex]\sqrt[3]{\frac{108\pi }{4\pi } }[/tex]
Divide 108[tex]\pi[/tex] by 4[tex]\pi[/tex] (For this, the two [tex]\pi[/tex] in the numerator and denominator cancel each other out, and you only need to divide 108/4)
r = [tex]\sqrt[3]{27}[/tex]
The cube root of 27 is 3, because [tex]3^{3}[/tex] = 3 x 3 x 3 = 27
r = 3
Related Questions
What is 100 - 50= ?
Then whatever answer you get divide it by 5
Finally you divide it by 10 what do you get for your answer
Answers
Step-by-step explanation:
100-50=50
50/5=10
10/10=1 and
I hope you liked it please mark brainliest50/5= 10
10/10= 1
final answer is 1
A small business employs 98 people. All of the employees work for 8 hours a day, 5 days a week. Eleven of the employees receive a wage of $45 an hour and the rest $30 an hour. In total, how much does the business pay its employees each week?
Answers
8hr * 5d = 40hr a week
40hr * $30 * 87 =104,400
40hr * $45 * 11 = 19,800
104,400 + 19,800 = 124,200
The business needs $124,200 to pay it’s employees each week.
The business requires $124,200 to pay its employees each week.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
A small company employs 98 workers. Every employee works 8 hours a day, 5 days a week. Eleven employees are paid $45 per hour, while the remaining employees are paid $30 per hour.
As per the given question, the required solution would be as:
No. of employees at $30hr: 98 -11 = 87
⇒ 8 hours × 5 days = 40 hour a week
⇒ 40 hour × $30 × 87 =104,400
⇒ 40 hour × $45 × 11 = 19,800
⇒ 104,400 + 19,800 = 124,200
Thus, the business requires $124,200 to pay its employees each week.
To learn more about numerical expression click here :
https://brainly.com/question/6037813
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(27)^-2/3 is equal to
Answers
Answer:
1/9
Step-by-step explanation:
(27)^-2/3=(3^3)^-2/3= 3^(-2/3*3)= 3^-2= 1/3^2= 1/9
Answer:
=1/9
Step-by-step explanation:
Apply exponent rule: a^-b=1/a^b
(27)^-2/3 = 1/(27)^2/3
Step-by-step method in attachment:
I need help please thanks
Answers
Answer:
1/6
Step-by-step explanation:
which of the following is the additive identity of 5+2i
Answers
Answer:
Can you take a picture of the question so i could help!
Step-by-step explanation:
Pls Help!!!
Just an example of how to do it pls!
Answers
10m + n^2/4
m = 5
n = 4
We can now substitute numbers in for the variables.
10(5) + (4)^2/4
50 + 4^2/4
50 + (4 * 4)/4
50 + 16/4
50 + 4
= 54
Answer:
Its 54 guys explanation in COMMENTS
Heres rule for 2nd term
x^n/x^(n-1) = x
Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function x5 + 8x4 + 2x2 + 5x + 15 and the x-axis on the interval [–6, 6]. Round off your answer to the nearest integer.
Question 15 options:
25,351 units2
149,473 units2
3,758 units2
2,362 units2
Answers
Answer:
The area of the region between the graph of the given function and the x-axis = 25,351 units²
Step-by-step explanation:
Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15
If 'f' is a continuous on [a ,b] then the function
[tex]F(x) = \int\limits^a_b {f(x)} \, dx[/tex]
By using integration formula
[tex]\int{x^n} \, dx = \frac{x^{n+1} }{n+1} +c[/tex]
Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]
[tex]\int\limits^6_^-6} (x^{5} + 8 x^{4} + 2 x^{2} + 5 x + 15) )dx[/tex]
On integration , we get
= [tex](\frac{x^{6} }{6} + \frac{8 x^{5} }{5} + 2 \frac{x^{3} }{3} +\frac{5 x^{2} }{2} + 15 x)^{6} _{-6}[/tex]
[tex]F(x) = \int\limits^a_b {f(x)} \, dx = F(b) -F(a)[/tex]
= [tex](\frac{6^{6} }{6} + \frac{8 6^{5} }{5} + 2 \frac{6^{3} }{3} +\frac{5 6^{2} }{2} + 15X 6) - ((\frac{(-6)^{6} }{6} + \frac{8 (-6)^{5} }{5} + 2 \frac{(-6)^{3} }{3} +\frac{5 (-6)^{2} }{2} + 15 (-6))[/tex]
After simplification and cancellation we get
= [tex]\frac{2 X 8 X (6)^{5} }{5} + \frac{2 X 2 X (6)^3}{3} + 2 X 15 X 6[/tex]
on calculation , we get
= [tex]\frac{124,416}{5} + \frac{864}{3} + 180[/tex]
On L.C.M 15
= [tex]\frac{124,416 X 3 + 864 X 5 + 180 X 15}{15}[/tex]
= 25 351.2 units²
Conclusion:-
The area of the region between the graph of the given function and the x-axis = 25,351 units²
please help answer thanks
Answers
Which equation matches these solutions? x = 5, -7
Group of answer choices
(x + 5)(x + 7)=0
(x + 5)(x - 7)=0
(x - 5)(x + 7)=0
(x - 5)(x - 7)=0
Answers
explanation:
(x-5)(x+7)=0
<=> x-5=0 or x+7=p
<=> x=5 or x=-7
The answer is the first one
f(x)=x g(x)=1
What is the domain of (f/g)(x)?
Answers
Answer:
on edge
the first one is x=0 or a
and
all real numbers or C
Step-by-step explanation:
(f/g)(x) ⇒ f(x)/g(x) ⇒ x/1
Therefore, we look at the domain of the function x/1. There will almost always only be a gap if the denominator = 0. However, 1 ≠ 0, so therefore, there are no gaps or endpoints. Therefore, the domain is all real numbers
Answer:
First answer is A
Second answer C
Step-by-step explanation:
Edge 2020
What is the value of x?
6
8
010
O 12
Answers
Answer:
8
Step-by-step explanation:
The sum of the internal angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5, hence
sum = 180° × 3 = 540°
Each exterior angle plus interior angle = 180°
Subtract each exterior angle from 180 for corresponding interior angle.
180 - 59 = 121, 180 - 77 = 103, 180 - 66 = 114, 180 - 62 = 118
Sum the 4 interior angles and subtract from 540 for 5 th interior angle
5 th = 540° - (121 + 103 + 114 + 118)° = 540° - 456° = 84°
The 5 th interior angle and 12x sum to 180 ( same reason as above )
Hence
12x + 84 = 180 ( subtract 84 from both sides )
12x = 96 ( divide both sides by 12 )
x = 8
please mark me brainliest :)
A horizontal line has points J, K, L. A line extends from point K up and to the right to point M. Angle J K M is (10 y + 6) degrees and angle M K L is (8 y minus 6) degrees
What is the value of y?
y =
Find the following angle measures.
mAngleJKM = °
mAngleMKL = °
Answers
Answer:
The found values are:
y = 10
<JKM = 106°
<MKL = 74°
Step-by-step explanation:
(See the diagram attached)
As JKL is a straight horizontal line, angle measure from JK to KL is 180°.
We can see in the diagram that line KM is dividing this angle of 180° into 2 unequal parts.
Which means that the sum of <JKM and <MKL is equals to 180°.
Mathematically, it can be written as:
[tex]<JKM+<MKL=180^\circ\\\\[/tex]
Substitute the values of both angle to solve the equation:
[tex](10y+6)+(8y-6) = 180\\18y=180\\y=\frac{180}{18}\\y=10[/tex]
Put in the formulas of both angle to find their values:
<JKM = 10y + 6
<JKM = 10(10)+6
<JKM = 106°
<MKL = 8y - 6
<MKL = 8(10)-6
<MKL = 74°
Answer:
y = 10
<JKM = 106°
<MKL = 74°
Step-by-step explanation:
If five cards are drawn from a deck of cards without replacement, what is the probability that at least one of the cards is a heart?
Answers
A thousand dollars is left in a credit union drawing 7% compounded monthly.
What is the balance at the end of 10 years?
Please show the work to answer compound interest work
Answers
Answer: $2009.66
Step-by-step explanation:
A = P(1 + r/n)^nt
The balance at the end of 10 years in account after the credit union drawing 7% compounded monthly is $2009.66
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
A thousand dollars is left in a credit union drawing 7% compounded monthly. The balance at the end of 10 years has to be find out.
Here the data given are,
Principal amount $1000.The rate of interest is 7%.Time period is 10 years.The number of month in a year is 12.Put these values in the above formula as,
[tex]A=1000\times\left(1+\dfrac{7}{12\times100}\right)^{12\times10}\\A=2009.66[/tex]
Thus, the balance at the end of 10 years in account after the credit union drawing 7% compounded monthly is $2009.66
Learn more about the compound interest here;
https://brainly.com/question/24274034
Infected individuals can spread the
virus 14 days before they begin to feel
ill. Change the parameters to represent
this information as the number of days
contagious.
Given the new parameters, determine
how many school days it would take for
half of the school of 400 people to
become infected?
Answers
Answer:IDK
Step-by-step explanation:
Ummm I don’t think so
1. How many solutions does the following equation have?
2x2 – 3x + 5 = 2x2.*- 3x + 5
no solution
- 2x -2% -2X
O
o -5% +5=0
2. Use the quadratic formula to solve the equation. If necessary, round to the nearest
hundredth.
x2 + 3 = -4x+3=- 4x
3- 4x
3. Solve the equation using the Zero-Product Property,
4p(5p+ 10) = 0
20p²+40p=0
-20p^2-20p^2
I just want to know if I got it right?
Answers
Answer:
1. The equation has no real solutions
2. [tex]x_1 = -1 [/tex] and [tex]x_2 = -3 [/tex]
3. p = 0 and p = -2
Step-by-step explanation:
1. Eq: x² - 3x + 5
discriminant: b² - 4(a)(c) = (-3)² - 4(1)(5) = 9 - 20 = -19 < 0
Therefore, the equation has no real solutions
2. Eq: x² + 3 = -4x
0 = x² + 4x + 3
[tex]x = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]
[tex]x = \frac{-4 \pm \sqrt{4^2 - 4(1)(3)}}{2(1)} [/tex]
[tex]x = \frac{-4 \pm 2}{2} [/tex]
[tex]x_1 = \frac{-4 + 2}{2} [/tex]
[tex]x_1 = -1 [/tex]
[tex]x_2 = \frac{-4 - 2}{2} [/tex]
[tex]x_2 = -3 [/tex]
3. Eq: 4p(5p+ 10) = 0
Zero-Product Property states that:
4p = 0 or 5p + 10 = 0
The first solution is p = 0. The second is:
5p + 10 = 0
5p = -10
p= -10/5 = -2
This tennis ball has an diameter of 2.7 inches. What is the volume of this tennis ball? Use 3.14 for π and round your answer to a whole number.
Answers
Answer:
V = 10 in^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
We have the diameter
r = d/2 = 2.7/2 =1.35
V = 4/3 ( 3.14) (1.35)^3
V =10.30077
Rounding to the nearest whole number
V = 10 in^3
Answer:
10 in^3
Step-by-step explanation:
-4|x|=-12 solve the equation
Answers
Answer:
-4|x| = -12
|x| = 3
x = 3, x = -3
Answer:
x=3, x=-3
Step-by-step explanation:
-4|x|=-12
Divide each side by -4
-4/-4|x|=-12/-4
|x|=3
There are two solutions to an absolute value one positive and one negative
x=3, x=-3
Factor::
x^2+8x-20
thank youuu
Answers
Answer:
[tex](x+10)(x-2)[/tex]
Step-by-step explanation:
[tex]x^2+8x-20=\\\\(x+10)(x-2)[/tex]
You can confirm this by working backwards, expanding:
[tex](x+10)(x-2)=\\\\x^2+10x-2x-20=\\\\x^2+8x-20[/tex]
Hope this helps!
find the area of the shaded part of the figure below
Answers
Answer:
70
Step-by-step explanation:
Answer:
70 cm^2
Step-by-step explanation:
Multiply (20x8)/2 to find the area of the triangle. Then subtract the area of the rectangle(10 cm^2) from the area of the triangle to get your final answer.
value of a in simplest form?
Answers
Answer:
Step-by-step explanation:
When base is same, add the powers
[tex]x^{\frac{2}{3}}*x^{\frac{1}{2}}=x^{a}\\\\x^{\frac{2}{3}+\frac{1}{2}}=x^{a}\\\\x^{\frac{4}{6}+\frac{3}{6}}=x^{a}\\\\x^{\frac{7}{6}}=x^{a}[/tex]
Compare the powers,
a = 7/6
Which excerpt best displays the function of narrative structure in Monster? The best time to cry is at night, when the lights are out and someone is screaming for help. The guy who was hit they made sit at the table while they waited for another guard to bring them rubber gloves. Sometimes the camera moves in so close that you can’t tell what is going on and you guys listen to the sounds and guess. I think to get used to this I will have to give up what I think is real and take up something else.
Answers
Answer:
I think to get used to this I will have to give up what I think is real and take up something else.
Explanation:
The crime novel Monster by Walter Dean Myers tells the story from the point of view of the prime protagonist Steve Harmon through his diary form of writing about his life in prison. Though there is also the omniscient third-person narrator at times, the narration mostly takes place through the voice of Steve Harmon.
The narrative structure of any plot of a story is the order or manner in which the narration of the story takes place/ is done. It may include character, plot, conflict, setting and resolution. And in this particular text/ novel, the function of the narrative structure is best displayed in the line spoken by Harmon, "I think to get used to this I will have to give up what I think is real and take up something else".
Answer:
I think to get used to this I will have to give up what I think is real and take up something else.
Step-by-step explanation:
which inequality is represented by this graph ?
Answers
Answer:
It's D.
Step-by-step explanation:
If it is a closed circle, it is greater/less than or equal to. If it goes right, it's greater than. If it goes left, it's less than.
Answer:
x≥ -53
Step-by-step explanation:
There is a closed circle at -53 which means equals and the line goes to the right which means greater than
x≥ -53
Please look at number 2. I’m not quite sure how I can figure that out?
Answers
Answer:
Circle graph
Step-by-step explanation:
common sense
marking city is 5 inches away from jamming city on the map what is the actual distance between those two cities
Answers
Answer: 50 miles
Step-by-step explanation:
On maps one inch is a mile
Marsha wanted to survey the students in the eighth grade about their favorite type of music. Which
group of students could she ask so that her sample is random?
Answers
Answer:
add more information
Step-by-step explanation:
PLEASE HELP! ITS DUE TODAAY!
Answers
Answer:
center
Step-by-step explanation:
Can I have a thanks, 5 star, brainliest and tell me if right?
Answer:
The answer is option b
Center.
Nathan bought 2 sandwiches and a beverage. each sandwich cost 4.75 and the beverage cost 1.29. how much change does Nathan get back if he pays with a 20 bill
Answers
Answer:
9.21
Step-by-step explanation:
Answer:
Nathan has 9.21 change if he pays a 20 bill.
Step-by-step explanation:
Factor the quadratic expression completely: 15x^2 - 4x -4
WHY IS THIS SO HARD !!!!!
Answers
Step-by-step explanation:
We can rewrite as 15x² + 6x - 10x - 4. The first two and last two terms have common factors so this turns into 3x (5x + 2) - 2 (5x + 2). This will then become (5x + 2)(3x - 2).
Answer:
(-2 + -5x)(2 + -3x)
Simplifying
15x2 + -4x + -4
Reorder the terms:
-4 + -4x + 15x2
Factor a trinomial.
(-2 + -5x)(2 + -3x)
Final result:
(-2 + -5x)(2 + -3x)
Can i get Brainlest??? Plzzz :D
NEED HELP :(
Use the commutative or associative property to simplify the expression.
1/4(4y)
Answers
Answer:
y
Step-by-step explanation:
Associative Property a(bc)=(ab)c
1/4(4y)=(1/4(4))y
y