What is the volume of the sphere below?
1.5
O A.
I units3
O B.
17 units 3
units3
500
3
RE
I units3
Answers
Answer:
ans is (D)500/3 π unit^3
Explanation :
Formula for volume of sphere is 4/3 π r^3 .
The volume of the sphere below is 500π/3 units³, the correct option is D.
What is the volume of sphere?
If the given sphere is of radius r units, then its volume is given as:
[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]
Suppose that radius of the considered sphere is of 'r' units.
Then, its surface area S would be:
[tex]S = 4\pi r^2 \: \rm unit^2[/tex]
We are given that;
The radius = 5
Now,
The volume of a sphere is given by the formula V = ⁴⁄₃πr³, where r is the radius of the sphere1. To find the volume of a sphere whose radius is 5 units, you need to plug in r = 5 into the formula and simplify it using arithmetic operations.
V = ⁴⁄₃πr³
V = ⁴⁄₃π(5)³
V = ⁴⁄₃π(125)
V = (4)(125)π/3
V = 500π/3
Therefore, by the volume of sphere formula the answer will be V = 500π/3 units³.
Learn more about volume of a sphere here:
https://brainly.com/question/381274
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Related Questions
23, Corey bought the mailing tube shown at the right
mail a poster of the Gators Little League baseball
a, The mailing tube has the shape of which polyh
b. How many faces does the mailing tube have?
6, When Corey bought the mailing tube, it was
and looked like a net, What polygons would
Answers
Answer:
answer is b
Step-by-step explanation:
answer is b
Students painted 1/2 the wall in the gym with 3 colors. Each color takes up the same amount of space on the wall. What fraction of the wall does each color occupy?
Answers
Hope this helps :D
A journey takes 3 hours at an average speed of 30 km per hour. How long will this journey take at 45 km per hour?
Answers
What is
is 1/4 + 9/10y -3/5y +7/8 written in simplest form?
Answers
Answer:
Step-by-step explanation:
[tex]\frac{1}{4}+\frac{9}{10}y - \frac{3}{5}y+\frac{7}{8}\\\\=\frac{1}{4}+\frac{7}{8}+\frac{9}{10}y-\frac{3}{5}y\\\\[/tex]
Combine like terms. 1/4 and 7/8 are like terms and LCD of 4 and 8 is 8
9/10y and -3/5y are like terms and LCD of 10 , 5 is 10
[tex]= \frac{1*2}{4*2}+\frac{7}{8}+\frac{9}{10}y-\frac{3*2}{5*2}y\\\\=\frac{2}{8}+\frac{7}{8}+\frac{9}{10}y-\frac{6}{10}y\\\\=\frac{9}{8}+\frac{3}{10}y[/tex]
Answer:
3 • (4y + 15)
-----------------
40
Step-by-step explanation:
Long explanation get ready
STEP
1
:
7
Simplify —
8
Equation at the end of step
1
:
1 9 3 7
((—+(——•y))-(—•y))+—
4 10 5 8
STEP
2
:
3
Simplify —
5
Equation at the end of step
2
:
1 9 3 7
((—+(——•y))-(—•y))+—
4 10 5 8
STEP
3
:
9
Simplify ——
10
Equation at the end of step
3
:
1 9 3y 7
((— + (—— • y)) - ——) + —
4 10 5 8
STEP
4
:
1
Simplify —
4
Equation at the end of step
4
:
1 9y 3y 7
((— + ——) - ——) + —
4 10 5 8
STEP
5
:
Calculating the Least Common Multiple :
5.1 Find the Least Common Multiple
The left denominator is : 4
The right denominator is : 10
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 2 1 2
5 0 1 1
Product of all
Prime Factors 4 10 20
Least Common Multiple:
20
Calculating Multipliers :
5.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 5
Right_M = L.C.M / R_Deno = 2
Making Equivalent Fractions :
5.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 5
—————————————————— = ——
L.C.M 20
R. Mult. • R. Num. 9y • 2
—————————————————— = ——————
L.C.M 20
Adding fractions that have a common denominator :
5.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
5 + 9y • 2 18y + 5
—————————— = ———————
20 20
Equation at the end of step
5
:
(18y + 5) 3y 7
(————————— - ——) + —
20 5 8
STEP
6
:
Calculating the Least Common Multiple :
6.1 Find the Least Common Multiple
The left denominator is : 20
The right denominator is : 5
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 2 0 2
5 1 1 1
Product of all
Prime Factors 20 5 20
Least Common Multiple:
20
Calculating Multipliers :
6.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 1
Right_M = L.C.M / R_Deno = 4
Making Equivalent Fractions :
6.3 Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. (18y+5)
—————————————————— = ———————
L.C.M 20
R. Mult. • R. Num. 3y • 4
—————————————————— = ——————
L.C.M 20
Adding fractions that have a common denominator :
6.4 Adding up the two equivalent fractions
(18y+5) - (3y • 4) 6y + 5
—————————————————— = ——————
20 20
Equation at the end of step
6
:
(6y + 5) 7
———————— + —
20 8
STEP
7
:
Calculating the Least Common Multiple :
7.1 Find the Least Common Multiple
The left denominator is : 20
The right denominator is : 8
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 2 3 3
5 1 0 1
Product of all
Prime Factors 20 8 40
Least Common Multiple:
40
Calculating Multipliers :
7.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 2
Right_M = L.C.M / R_Deno = 5
Making Equivalent Fractions :
7.3 Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. (6y+5) • 2
—————————————————— = ——————————
L.C.M 40
R. Mult. • R. Num. 7 • 5
—————————————————— = —————
L.C.M 40
Adding fractions that have a common denominator :
7.4 Adding up the two equivalent fractions
(6y+5) • 2 + 7 • 5 12y + 45
—————————————————— = ————————
40 40
STEP
8
:
Pulling out like terms :
8.1 Pull out like factors :
12y + 45 = 3 • (4y + 15)
help plzzzzzzzzzz !!!!!
Answers
Answer:
51
Step-by-step explanation:
simplify
[tex] {a}^{3} + {b}^{3} [/tex]
Answers
Answer:
[tex]{a}^{3} + {b}^{3} [/tex]
[tex] = (a + b)( {a}^{2} - ab + {b}^{2} )[/tex]
Hence, simplified
Can somebody please help me!!!!
Answers
Answer:
first is 180
second is 270
third is 90
Answer:
Step-by-step explanation:
Which of the following is not a true statement about the angles shown below? A H 3x x + 15 Z D x + 15 A. The measure of ZAHD is 30°. B. The measure of ZHDZ is 45°. C. The measure of ZHZD is 45°. D. The value of x is 30.
Answers
Answer:
A is not true
Step-by-step explanation:
HURRY TIMED!!!!
Find the equation of the graphed line.
On a coordinate plane, a line goes through (0, negative 6) and (6, 0).
a.
y = negative x minus 6
c.
y = x minus 6
b.
y = x + 6
d.
y = negative x + 6
Answers
Answer:
y = x -6
Step-by-step explanation:
First find the slope
m= ( y2-y1)/(x2-x1)
= (0- -6)/(6-0)
=( 0+6)/(6-0)
= 6/6
= 1
The slope is 1 and the y intercept is -6
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = x -6
Answer:
the answer is C
Step-by-step explanation:
y = x -6
Jackson purchased $5,200 worth of electronic equipment from BetterBuy on their deferred payment plan. The plan
allows the customer to make no down payment and no payment at all for five months. If the entire amount is paid in
full before the five month deferment ends, the finance charge with an APR of 19.8% is applied each month going
back to the first month. How much would it cost Jackson in finance charges if he misses the 5-month deadline?
Answers
Answer:
If Jackson misses the 5-month deadline, it will cost him $429 in finance charges.
Step-by-step explanation:
Since Jackson purchased $ 5,200 worth of electronic equipment from BetterBuy on their deferred payment plan, and the plan allows the customer to make no down payment and no payment at all for five months, while if the entire amount is paid in full before the five month deferment ends, the finance charge with an APR of 19.8% is applied each month going back to the first month, to determine how much would it cost Jackson in finance charges if he misses the 5-month deadline the following calculation should be performed:
5,200 x (1 + (0.198 / 12 x 5)) = X
5,200 x (1 + (0.0165 x 5)) = X
5,200 x (1 + 0.0825) = X
5,200 x 1.0825 = X
5.629 = X
5,629 - 5,200 = 429
Therefore, if Jackson misses the 5-month deadline, it will cost him $429 in finance charges.
Please helppp, 15 points
Answers
Answer:
they are adding by 3 1 and 0
Step-by-step explanation:
Answer:
Step-by-step explanation: Mean= 400/15 =26.6
Median = 27
Mode= 35 - 16 =19
No
Ivy deposited some money into a savings account that earns 1%
annual simple interest. At the end of 5 years, she earned $32.50 in
interest. How much money did she put into the account initially?
Round to the nearest dollar.
Answers
Answer:
Ivy initially put $ 650 in the account.
Step-by-step explanation:
Given that Ivy deposited some money into a savings account that earns 1% annual simple interest, and at the end of 5 years, she earned $ 32.50 in interest, to determine how much money did she put into the account initially, the following calculation must be performed:
32.50 / 5 = 6.5
1 = 6.5
100 = X
100 x 6.5 = X
650 = X
Therefore, Ivy initially put $ 650 in the account.
Which of the following is NOT an example of a right angle?
A.The corner of a door
B.The corner of a book
C.The point of a pencil
D.The corner of a piece of notebook paper
Answers
Answer:
C.........................
Answer:
c.The point of a pencil if u go and check all of the other stuff are right triengle the point of a pencil is like an acute trienagle
Step-by-step explanation:
What is the surface area of the given figure?
A. 2564 cm
B. 2276 cm
C. 2184 cm
D. 1160 cm
Answers
Answer:
A
Step-by-step explanation:
Question 10 of 10
Given the polynomial function below, find F(-5).
F(x) = x2 - 2x-7
O A. -22
B. 42
O C. 8
D. 28
Answers
Answer:
D. 28
Step-by-step explanation:
We are given the following polynomial function:
[tex]F(x) = x^2 - 2x - 7[/tex]
Find F(-5).
This is the value of F for which [tex]x = -5[/tex]. So
[tex]F(-5) = (-5)^2 - 2(-5) - 7 = 25 + 10 - 7 = 28[/tex]
28, which means that the correct answer is given by option D.
Solve the x in the equation x2+11x+121/4=125/4
Answers
Answer:
see the screen shot it has the answer and explanation (thumbs up)
Step-by-step explanation:
Hope this helps
When solving a system of equations algebraically, which statement results in no solution?
Answers
Answer:
all of these
0 does not equal 1
4 does not equal 7
2 does not equal -2
-3 does not equal 3
All of the given equations have no solution.
What are system of equations in mathematics?A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. They are of the form -
ax + by + c = 0
dx + ey + f = 0
We have the given system of linear equations that has no solutions.
For no solutions, the final equation should be of the form -
α = β
where [α] and [β] are constant integers.
So all the equations result in no solution.
Therefore, all of the given equations have no solution.
To solve more questions on system of equations, visit the link below-
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What is the volume of the cone below?
O A. 1087 units 3
B. 144r units3
4
O c. 432rr units 3
O D. 216r units 3
Answers
answer d
Step-by-step explanation:
because I learned this
Answer: 144 pi units^3
Step-by-step explanation:
Please help ! Please help!
Answers
Answer:
The answer is 75 degrees.
Step-by-step explanation:
The explanation is that the the supplementary angle to 80 is 100 since a straight line has an angle of 180, now the 100 degree angle is congruent to the angle x + 25 which means that x + 25 is equal to 100 so x is 75
so its X + 25 = 100
X = 100 - 25
X = 75
sorry if this was confusing i tried my best, hope this helps!!
Gordon is trying to save up $2000 for a new saxophone he makes 12.50 per hour at his job at the coffee shop but he needs to set aside half of his hourly wage to pay his regular bills How many 40-hour weeks will he need to work before he can afford the saxophone?
A. 320 Weeks
B. 40 Weeks
C. 8 Weeks
D. 6.25 Weeks
Answers
Answer:
he will need to work 8 40-hour weeks.
Explanation:
since gordon has to set aside half of his wage to pay his bills, he can only save $12.50 ÷ 2 = $6.25 for the saxophone.
we can find how much money gordon saves from a 40-hour week by multiplying this by 40: $6.25 × 40 = $250.
now, divide the total amount of money he has to save by the amount he saves each week: $2000 ÷ $250 = 8.
he will need to work 8 40-hour weeks before he can afford the saxophone.
i hope this helps! :D
If the probability of winning a slot machine is 5% and you are going to play 500 pulls. Using a normal approximation. What’s the probability that you win less than 40?
Answers
Answer:
0.9986 = 99.86% probability that you win less than 40
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
The probability of winning a slot machine is 5% and you are going to play 500 pulls.
This means that [tex]p = 0.05, n = 500[/tex]
Mean and Standard deviation:
[tex]\mu = E(X) = np = 500*0.05 = 25[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{500*0.05*0.95} = 4.8734[/tex]
What’s the probability that you win less than 40?
Using continuity correction, this is P(X < 40 - 0.5) = P(X < 39.5), which is the pvalue of Z when X = 39.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{39.5 - 25}{4.8734}[/tex]
[tex]Z = 2.98[/tex]
[tex]Z = 2.98[/tex] has a pvalue of 0.9986
0.9986 = 99.86% probability that you win less than 40
Ethan ran 11 miles in 2 hours. What is the unit rate of miles to hour?
A. 5.5 miles per hour
B. 0.18 miles per hour
C. 5.5 hours per mile
D. 0. 18 hours per mile
Answers
Answer:
A
Step-by-step explanation:
11miles/2hours
11 divide by 2 = 5.5 miles/1 hour
5.5 miles per hour
Answer:
5.5 miles per hour
Step-by-step explanation:
Which two factors of 48 contain a factor that is a prime number
Answers
Answer:
3 and 16
Step-by-step explanation:
Find the surface area of the composite solid.
Answers
Answer:
185ft squared
Step-by-step explanation:
since this is a composite solid, all we have to do is use the 2 formulas:
b x h / 2 (Triangles on the pyramid)
l x w (Rectangular faces)
to solve the surface area of the composite figure.
Which is true of an adjustable rate mortgage?
Answers
Answer:
The rate of interest may vary , totally depends on the market value of that agency or company or the financial agency which is providing the mortgage money at certain rate. So, option (B) the interest rate may change depending on the condition of the economy is true statement regarding adjustable rate mortgage.Step-by-step explanation: hope it helps
HELP PLZZZZZZZZZZZZZZXZXXXZZZZXZZX
Answers
Answer:
c
Step-by-step explanation:
4×2=2in
100÷2=50%
so it is c
Answer:
Point C
Step-by-step explanation:
Point C is half way on the line
twice the difference of a number and 7 is at least -21
Use the variable c for the unknown number.
Translate the sentence into an inequality
Answers
Answer:
Step-by-step explanation:
Difference of a number and 7 = c - 7
Twice the difference = 2*(c - 7) = 2*c - 7*2 = 2c - 14
2c - 14 ≥ -21
Solve for a.
ab +c= d
a= b+ c/d
a= b/ (c-d)
a= d-c/ b
Answers
Answer:
[tex]ab + c = d \\ ab = d - c \\ a = \frac{(d - c)}{b} [/tex]
Answer:
A=d-c/b
Step-by-step explanation:
just took the test
i don't really understand this
Answers
Answer:
sum
1.-28
2.5/4
3. -9.4
4. 33
5. 4.6
6. 2.4
7. -4.2
DIFFERENCE
8. -2.5
9. -7
10. 3/10
11. -31/36
12. -29/18
13. 16
14.-5/9
Step-by-step explanation: hoped this helped :))
Find x. Round to the nearest tenth if necessary.
Answers
Answer:
1)From ΔACB
tan 36= x/7
x= 7.tan 36
x= 5.086
2) Sin63=Opp/Hyp= 12/x
=>x=12/Sin63°
x= 13.47
3) Sin=x/MP
Sin 15°=x/12x=125 in 15°
x=3.11
hope it helps...
have a great day!!