Answers
Answer:
4.8
Step-by-step explanation:
[tex] V_{sphere} = \frac{4}{3} \pi r^3 [/tex]
[tex] 144\pi= \frac{4}{3} \pi r^3 [/tex]
[tex]r^3 = \frac {3 \times 144\pi}{4\pi}[/tex]
[tex]r^3 = 3 \times 36[/tex]
[tex]r^3 = 108[/tex]
[tex]r = \sqrt[3]{108} \\ \\ r = 4.7622031559 \\ \\ r \approx \: 4.8 \: [/tex]
Related Questions
Help please !!!!!!!!!!!!!!!!!!
Answers
Answer:
n = 59
Step-by-step explanation:
There's definitely a better way, i just did math randomly but here goes:
First i squared both sides. which gets you:
[tex](\sqrt{n+5}-\sqrt{n-10} )(\sqrt{n+5}-\sqrt{n-10} )=1^2\\\\n+5 -2\sqrt{(n+5)(n-10)} +n-10=1[/tex]
Cleaning this up gives you:
[tex]2n-5 -2\sqrt{(n+5)(n-10)}=1[/tex]
Now move everything to the other side so we can square this equation again
[tex]-2\sqrt{(n+5)(n-10)}=-2n+6[/tex]
Divide both sides by -2
[tex]\sqrt{(n+5)(n-10)}=n-3[/tex]
square again
[tex](n+5)(n-10)=(n-3)^2\\n^2-5n-50=n^2-6n+9[/tex]
subtract n^2 from both sides, add 6n, and add 50
[tex]-5n-50=-6n+9\\n-50 = 9\\n=59[/tex]
Put this back into the equation and you get a correct answer!
sqrt(59 + 5) = sqrt(64) = 8
sqrt(59-10) = sqrt(49) = 7
8 - 7 = 1
Ten years ago, Scott bought a board game for $30. That board game has now increased it's value by 83%.
100
What would be the price of that game now?
Answers
Answer:54.9
Step-by-step explanation:
Can someone help me with number 7 and 13 ? I graduate in a week an have to have this work done or I will not be graduating
Answers
A parabola y=x^2 is what type of function?
an even function
an odd function
an asymmetric function
a one to one function
Answers
Step-by-step explanation:
The parabola has a line of symmetry at x=0 so that means we can reflect the function across the y axis and it will remain unchanged so the answer is even function.
18. A square board has an area of 95.63 square inches. Which is
closest to the length of one side of the board?
F 10 in
G9 in
H 48 in
) 24 in
Answers
Answer:
10 in
Step-by-step explanation:
The equation y-7/2=1/2(x-4) is written in point-slope form. What is the y-intercept of the equation
Answers
Convert. 2/3and 4/6 into like fraction
Answers
Answer:
Answer given below
Step-by-step explanation:
When we calculate the LCM, you get it as 6.
So both the fractions should have a denominator 6.
For that, in 2/3 we should multiply both numerator and denominator with 2 so that denominator becomes 6.
When we convert to like fraction, 2/3 becomes 4/6.
Now both the fractions have common denominator
Hope it helps.
Ms. Silvia earns $3 every time she sells a cupcake. If she earns $15, how many cupcakes did she sell?
Answers
Answer:
Okay very easy, The answer is: She sold 5 cupcakes.
Step-by-step explanation:
She sold 5 cupcakes
Because if you add 3 till you get to 15 you get 5
An object travels 8 miles in 20 minutes at a constant speed. What is the object's
speed in miles per hour?
A. 32
B. 28
O
C. 24
us
NE
US
An object travels 8 miles in 20 minutes what is the objects speed in miles per hour
Answers
Write an algebraic expression for each word expression.
A number, n, divided by 9
Answers
Answer:
n/9
Step-by-step explanation:
Answer:
n/9
Step-by-step explanation:
What is the greatest common factor (GCF) of 24 and 40?
Answers
Question:
What is the greatest common factor (GCF) of 24 and 40?
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
40=2×2×2×5
24=2×2×2×3 then we take the common 2×2×2=8
What is the length of the diagonal of a non -regulation tennis court with length 20 feet and width 15 feet
Answers
Answer:
25 feet
Step-by-step explanation:
using the sides 20 and 15, use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the 2 side lengths and the diagonal.
[tex]a^{2} +b^{2} =c^{2} \\20^{2} +15^{2} =c^{2} \\400+225=c^{2} \\625=c^{2} \\25=c[/tex]
Triangle PQR is dilated by a scale factor of 1/3 to form triangle P'Q'R'. Side RP
measures 3. What is the measure of side R'P'?
Answers
Answer:
1
Step-by-step explanation:
A third of 3=1
3/3=1
There are 53 beads on Ashley's necklace. 19 of the beads are pink and the rest are purple. What is the ratio of the number of purple beads to the total number of beads?
34: ?
Answers
Answer:
34 beads are purple so for every 19 pink there are 34 purple hope this helps
If you invest $2500 at a rate of 3.5%, how much money will be in the
account after 10 years if it is compounded yearly?
Answers
Answer:
A = $3,526.50
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = [tex]\frac{R}{100}[/tex]
r = [tex]\frac{3.5}{100}[/tex]
r = 0.035 rate per year,
Then solve the equation for A
A = P(1 + [tex]\frac{r}{n}[/tex])nt
A = 2,500.00(1 + [tex]\frac{0.035}{1}[/tex])(1)(10)
A = 2,500.00(1 + 0.035)(10)
A = $3,526.50
Hence:
The total amount of over 10 years is $3,526.50.
Consider the salt shaker shown.
5 cm
cm
What is the volume of the salt shaker, including the top? Round your answer to the nearest hundredth.
Volume of Salt Shaker =
Answers
Answer:
Volume of salt shaker = 42.4 cm³ (Approx.)
Step-by-step explanation:
Given:
Height of salt shaker = 5 cm
Diameter of salt shaker = 3 cm
Find:
Volume of salt shaker
Computation:
Radius of salt shaker = Diameter of salt shaker / 2
Radius of salt shaker = 3 / 2
Radius of salt shaker = 1.5 cm
Volume of salt shaker = Volume of cylinder + Volume of Hemisphere
Volume of salt shaker = πr²h + (2/3)πr³
Volume of salt shaker = (3.14)(1.5)²(5) + (2/3)(3.14)(1.5)³
Volume of salt shaker = (3.14)(2.25)(5) + (0.667)(3.14)(3.375)
Volume of salt shaker = 35.325 + 7.068
Volume of salt shaker = 42.4 cm³ (Approx.)
Jason baked 7 pans of brownies. He gave ¼ of the brownies to his two sisters. How many pans of brownies did he give to his sisters? *
Answers
Step-by-step explanation:
7×1/4 = 1.75
1.75 ÷ 2 = 0.875 pans each
The ___________ of a numerical set of data is the value that occurs most frequently.
Answers
Explain how to graph the following including asymptotes and key features. f(x)=3^x+2
Answers
Answer:
y=2
Step-by-step explanation:
How would you characterize the relationship between the hours spent on homework and the test scores
Answers
Answer:
sorry can'thelp
Step-by-step explanation:
Answer and explanation:
I would characterize the relationship as a positive correlation. I would probably give it a 0.7, which means that the correlation is relatively strong. Also, this is an example of correlation, not causation, because there is not scientific proof that doing homework more will cause better grades. Hope this helps!
Is either x = 8 or x = 10 a solution to 5x < 52?
A. x = 8 is a solution, but x = 10 is not.
B. Neither is a solution.
O C. x = 10 is a solution, but x = 8 is not.
D. They are both solutions.
Answers
Answer:
B. neither of them are solutions
ON A RECENT MATH TEST MARY SCORED 14 OF 16 CORRECT. JOHN SCORED 23 OF 26AND JOE SCORED 9 OF 11 CORRECT. WHO ACHIEVED THE HIGHER SCORE?
Answers
Answer:
I think the answer is mary
Answer:
John
Step-by-step explanation:
Mary: 87%-88% (0.875)
John: 88% (0.884)
Joe: 81% (0.818)
a hamburger shop sold 360 hamburgers and a number of cheeseburgers were sold was 3 times how many were sold on Sunday?
Answers
Answer:
1080 cheeseburgers
Step-by-step explanation:
If the number of cheeseburgers are three times as many as the hamburgers, then 3x360, which is the hamburgers = 1080
I do not know what to do with the Sunday information, so perhaps the question is not complete.
Hope this helps!
Which best describes the numbers satisfying the inequality x less-than 7?
A all numbers greater than 7
B all numbers less than 7
C all numbers greater than and including 7
D all numbers less than and including 7
Answers
Answer:
B all numbers less than 7
Step-by-step explanation:
x < 7
B all numbers less than 7
----------------------
< is less than
≤ is less than or equal
> is greater than
≥ is greater than or equal
Answer:
b XD
Step-by-step explanation:
You pay $2 to play a game in which you roll one fair die. If you roll a 5 on the first roll, you win $5. If you roll a 1 or a 2, you win $3. If not, you lose your money. Use this information to answer questions 1-2.
Find the expected value for this game? Round your answer to the hundredths place
Find the fair price for this game. Round your answer to the hundredths place
Answers
Answer:
The answer is 4
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZ
Answer:
4
:P
Step-by-step explanation:
which measurement is closest to the area of the shaded region in square inches
Answers
2. A serving of soup is 275 milliliters.
Will 6 servings of soup fit into a jar that holds up to 1.5 liters of liquid? Explain.
Answers
Answer:
No, the 6 servings of soup is 1675 milliliters, which is greater than 1.5 liters.
Step-by-step explanation:
So we already know that 1 surving of soup is 275 milliliters.
We have 6 survings of this soup.
We need to see if these 6 servings will fit in a 1.5 liter jar.
To find the total amount of mililers, we must multipy this by 6:
275*6
=
1650
Remember that 1 liter is equal to 1000 mililiters. To find the 1650 mililliters in liters, we must divide by 1000:
1650/1000
=
1.65
This number is greater than 1.5 liters, which is how much soup the jar can store.
So the answer is no, the 6 servings of soup cannot fit in the jar.
Find the surface area of a square pyramid with side length 4 mi and slant height 5 mi.
Answers
Answer:
SA = 56 sq mi
Step-by-step explanation:
SA = area of base + 1/2(perimeter of base)(slant height)
SA = 16 + 1/2(16)(5)
SA = 16 + 8(5)
SA = 16 + 40
Lauren went to a store to buy some clothes. The shirts were selling at a 20% discount. A pair of pants cost $5 less than 3 times the original cost of a shirt.
If she spent $36 in all, what was the original cost of a shirt?
Answers
Answer:
OMG
Step-by-step explanation:
I had the same question
Answer:
$10.79
Step-by-step explanation:
x = original cost of one t shirt
We can build this equation
x - (20/100) x + 3x- 5 = 36
-1/5x + 4x = 41
-x + 20x = 205
19x = 205
x = $10.79
HELP ME PLEASEEEEEEEEEEEEEEEE
Answers
Answer:
522 m^2
Step-by-step explanation:
I've circles the numbers that you actually need to solve this problem.
First, find the area of the bigger rectangle by multiplying the length and width.
24*21=504
Then find the area of the smaller rectangle the same way
3*6=18
then add them to get the total area
504+18=522
522 m^2