What is the radius of a sphere with a volume of 3026 cm ^3, to the nearest tenth of a centimeter?
Answer:
[tex]r=9.0\:\mathrm{cm}[/tex]
Step-by-step explanation:
The volume of a sphere is given as [tex]\frac{4}{3}r^3\pi[/tex]. Therefore we have the following equation:
[tex]\frac{4}{3}r^3\pi=3026,\\r^3=\frac{3}{4}\cdot\frac{3026}{\pi},\\r^3=722.40428,\\r=\sqrt[3]{722.40428},\\r\approx \fbox{$9.0\:\mathrm{cm}$}[/tex].
Rounding this to the nearest tenth of a centimeter, the radius of the sphere is approximately 14.0 cm.
What is volume?Volume refers to the amount of space occupied by an object or substance. In mathematics, it is usually measured in cubic units (e.g. cubic meters, cubic centimeters).
The volume of an object can be calculated using its dimensions and specific formulas that depend on the shape of the object.
For example, the volume of a cube is calculated by multiplying its length, width, and height, while the volume of a sphere is calculated using the formula [tex](4/3)\pi r^3[/tex], where r is the radius of the sphere.
The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.
We can rearrange this formula to solve for r:
r = [tex](3V/4\pi)^{(1/3)[/tex]
Substituting the given volume V = 3026 [tex]cm^3[/tex], we get:
r = [tex](3(3026)/(4\pi))^{(1/3)[/tex] ≈ 14.0 cm
Thus, the radius of the sphere is approximately 14.0 cm, rounded to the nearest tenth of a centimetre.
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Plz I beg u help metttttttttttt
Answer:
2. 260
3. 16
4. 71
5. 47
6. 137
8. 23
Step-by-step explanation:
148 ft above ground level
Answer: What??????
Step-by-step explanation:
A scale factor of 4 is:
an enlargement
a reduction
Write an expression for the sequence of operations described below.
add 3 and the sum of 9 and v
Do not simplify any part
the expression.
Submit
Answer:
We conclude that:
''add 3 and the sum of 9 and v'' is algebraically represented by the expression as:
3 + 9 + vStep-by-step explanation:
Given the statement
''add 3 and the sum of 9 and v''
Let us break down the statement
Let the number be: vThe sum of 9 and v: 9+vso
Adding 3 and the sum of 9 and v will be: 3 + 9 + v
Therefore, we conclude that:
''add 3 and the sum of 9 and v'' is algebraically represented by the expression as:
3 + 9 + vwhat is the answer? please
✨1 kai 1 poso kanei✨
Answer:
i'M bOuTA.. DOIVE
Explanation:
Kiran scored 223 fewer points in a computer game than Tyler. Kiran scored 409 points. Which equation would Kiran use to determine how many points, t, Tyler scored?
Answer:
[tex]t-223=409[/tex]
Step-by-step explanation:
Since Kiran scored 223 fewer points in a computer game than Tyler, Tyler's score can be represented as:
[tex]k+223=t[/tex], where [tex]t[/tex] is Tyler's score and [tex]k[/tex] is Kiran's score.
Since Kiran scored 409 points, we can set [tex]k=409[/tex]:
[tex]409+223=t[/tex].
Re-arranging this, we get:
[tex]\fbox{$t-223=409$}[/tex].
Answer:
h
Step-by-step explanation:
j
12 cups every 5 hours. Express this rate of flow in gallons per week
Answer:
25.2 gallons per week
Step-by-step explanation:
PLS help me
this is for class, if you get it right i will give brainliest
Answer:
Yes
Step-by-step explanation:
a^2+b^2=c^2
7^2+11^2=c^2
49+121=c^2
170=c^2
then square it
c=13
7,11,13 is a pythagorean triple
Answer:
both answers you have put in are correct
Step-by-step explanation:
7^2=49
11^2=121
121+49=170
square root of 170 is the long side
not a pythagorean triple because square root of 170 does not come out as a whole number (no decimal/fraction)
is it ~13.0384
Does anybody know answer to this plsssss
9514 1404 393
Answer:
(a) 4(2x^5 +x^2 -3)
Step-by-step explanation:
The only common factor is 4. That factor must be removed from every term to find the expression that goes inside parentheses.
8x^5 +4x -12 = 4(2x^4 +x -3)
m = 5.71 + 0.25n
j = 4.66 + 0.60n
In the equations above, m and j represent
the price per gallon of milk and orange juice,
respectively, n months after December 31, 2018.
What was the price per gallon of milk when it was
equal to the price per gallon of orange juice?
A) $5.96
B) $6.21
C) $6.46
D) $6.71
Answer:
C) $6.46
Step-by-step explanation:
Equations
The price per gallon of milk (m) and the price per gallon of orange juice (j) are given below:
m = 5.71 + 0.25n
j = 4.66 + 0.60n
Where n is the number of months after December 31, 2018.
It's required to find the value of n when both prices are equal:
4.66 + 0.60n = 5.71 + 0.25n
Subtracting 0.25n:
4.66 + 0.60n - 0.25n = 5.71
Subtracting 4.66:
0.60n - 0.25n = 5.71 - 4.66
Operating:
0.35n = 1.05
n = 1.05/0.35
n = 3
The price per gallon of milk for n=3:
m = 5.71 + 0.25*3
m = 5.71 + 0.75
m = $6.46
AB formed by (0-2) and (0,7)
CD formed by (3,-5) and (6,-5)
Answer:
AB is undefined, CD is y = -5
Step-by-step explanation:
Find both of the line's slopes. You can use the formula for slope to calculate this answer because you know two points on the line for both lines (Look below). If you plug in the points for AB, you would have ( -2 - 7)/0, which would be undefined, because anything divided by 0 is undefined. Since the slope for AB is undefined, it is undefined. Next, we have CD. If you plug in the points for CD, you would get (-5 - (-5))/(6 - 3), which would be 0/3, which is 0. This means that the slope is 0. Next, we have to plug in the points for CD into the formula for equation of the line (Look Below), which would be y - (-5) = 0 * (x - 6), which simplifies to y + 5 = 0, which is y = -5.
Formula for Slope:
[tex]\frac{y1 - y2}{x1 - x2}[/tex]
Usable with 2 points of the line given ((x1, y1) and (x2, y2))
Formula for Equation of the Line:
[tex]y - y1 = slope * (x - x1)[/tex]
Usable with the slope and a point given ((x1, y1))
Answer: AB is undefined (AB is not a relationship, slope is undefined (Vertical Line)) and CD is y = -5 (Horizontal Line)
6 - 3w = -27
I need help on this I don’t get it
The angle of the elevation from the top of a 95 Todd building into a hot air balloon in the sky and 76° if the horizontal distance between the building in a horrible Luna is 354 feet find the height of a hot air balloon
Answer:
The height of the hot air balloon is 1514.54 feet approximately.
Step-by-step explanation:
Consider the provided information.
The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon
The figure is shown below:
Let the height of the balloon is AD, the height of the building is BC.
Draw a line BE parallel to CD.
Therefore, AD=x+95, BC=95 and BE=CD=354 ft
Now in triangle [tex]ABE[/tex].
[tex]\tan\theta=\dfrac{\text{Opp}}{\text{Adj}}[/tex]
[tex]\tan76^{\circ}=\dfrac{AE}{BE}[/tex]
[tex]AE\approx 4.01\times 354[/tex]
[tex]AE\approx 1419.54[/tex]
The height air balloon is 1419.54+95 =1514.54 ft
Hence, the height of the hot air balloon is 1514.54 feet approximately.
Write the rational number as a decimal. −1/15=
Answer:
Step-by-step explanation:
1.15
Answer:
-0.067
Step-by-step explanation:
this is a answer
pls helppppppppppp
Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 gallons of water left over, about how much water did he use for lettuce?
Answer:
okkk
Step-by-step explanation:
Answer:
I'm gonna say either 3/4 or 7/8. Don't quote me on it tho?!
Step-by-step explanation:
The table and the graph each show a different relationship between the same two variables, x and y:
How much more would the value of y be in the table than its value on the graph when x = 11?
Group of answer choices
A. 100
B. 165
C. 395
D. 440
Answer:
165
Step-by-step explanation:
its the answer trust me rank me brainiest
Answer:
B. 165
Step-by-step explanation:
Table: x = 11 and y = 770
Graph: x = 11 and y = 605
770 - 605 = 165
help please, don't answer if you don't know. ill give brainiest
Information about a rectangle is given below. Find the missing measurement.
Area = 63 km2
Length = 7 km
Width = ? km
Answer:
Width = 9 km
Step-by-step explanation:
Area is length*width, so to find the width, you divide the area by the length. 63/7 is 9.
Benjamin and Amelia Hopkins have been married since 2016. Benjamin is a U.S. Citizen with a valid Social Security number. Amelia is a resident alien with an Individual Taxpayer Identification Number (ITIN). They elect to file Married Filing Jointly. Benjamin worked in 2020 and earned wages of $25,000. Amelia worked part-time and earned wages of $15,000. They have two children: Harper, who is 9 years old, and Evelyn, who is 12 years old. Both children were supported by their parents all year. Harper is a U.S. Citizen and has a valid Social Security number. Evelyn is a resident alien and has an ITIN. Benjamin, Amelia, Harper, and Evelyn lived together in the U.S. All year 7. Which credit(s) can the Hopkins claim on their 2020 tax return. Are the Hopkins eligible to claim the earned income credit?
Answer:
The answer is "Child tax credit for Harper and No, because Amelia has ITIN."
Step-by-step explanation:
In question 1, The answer is "Child tax credit for Harpe" each qualified kid for tax years 2018-2025 should have SSN through employment provided before the returned closing date. Harper is a U.S. national and also has a legitimate SSN, and therefore Hopkins may assert Harper's tax credit.
In question 2, The answer is "No, because Amelia has ITIN" because the IRS problem is an ITIN issue whenever a person has been unable to claim their income tax credit his or she may be not qualified to SSN.
Substitute teachers with Lexington School District get paid by the day, although subs with teaching credentials earn a different amount than subs without credentials. Yesterday, 3 non-credentialed subs and 2 credentialed subs taught in the district. That cost the district $368. Today, 11 non-credentialed subs and 7 credentialed subs taught, receiving $1,316 from the district. How much do subs get paid?
Heyy pleaseeeee help meeeeeeeeee
Answer:
no solution
Step-by-step explanation:
please help ill give you brainliliest
Answer:
69
Step-by-step explanation:
its just an estimate
Answer:
72 degrees
Step-by-step explanation:
There are 180 degrees in a triangle. 59+49=108. 180-108=72!
I hope this helps!
4. Kiran says "If I walk 3 miles per hour toward you, and you walk 3.4 miles per hour toward me,
it's the same as if you stay put and I jog 6.4 miles per hour.” What do you think Kiran means
by this? Is he correct?
Answer:
0.0000000000000000..00000000000000000000000
Step-by-step explanation:
Help help plz branist points
Rose went on a shopping trip to Richmond. She purchased a calculator originally priced at $100 but discounted 80%. If sales tax in Richmond is 15%, what was the total cost? $
Answer:
The total cost is [tex]\$23[/tex].
Step-by-step explanation:
Given: Original price of calculator is [tex]\$100[/tex], discount is [tex]80\%[/tex] and the sales tax is [tex]15\%[/tex].
To find: The total cost
Solution:
We have,
Original price of calculator[tex]=\$100[/tex]
Discount [tex]=80\%[/tex]
Sales tax [tex]=15\%[/tex]
Now, first we need to find the cost after applying the discount.
So, discount [tex]=\frac{80}{100}\times100=\$80[/tex]
Therefore, the cost after applying the discount
[tex]=\$100-\$80=\$20[/tex]
Now, we have to find the sales tax. Therefore,
Sales tax [tex]=\frac{15}{100}\times20=\$3[/tex]
So, the total cost is [tex]\$20+\$3=\$23[/tex].
Hence, the total cost is [tex]\$23[/tex].
Answer:
$23
Step-by-step explanation:
Hope this helps
Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of S T is 9, the length of T Q is 16, and the length of R Q is x.
What is the value of x?
12 units
15 units
20 units
24 units
Answer:
the actual answer is 20 units
Step-by-step explanation:
The value of x which is equal to length RQ is 20 units.
The given parameters;
Length of ST = 9 Length of TQ = 16Length of RQ = xFrom the given triangle we can apply similar triangle property as follows;
[tex]\frac{base \ of \ triangle \ SRQ}{hypotenuse \ of \ triangle \ SRQ} = \frac{base \ of \ triangle \ RTQ}{hypotenuse \ of \ triangle \ RTQ} \\\\\frac{RQ}{SQ} = \frac{TQ}{RQ} \\\\\frac{x}{(9 + 16)} = \frac{16}{x} \\\\x^2 = 25 \times 16\\\\x = \sqrt{25 \times 16} \\\\x = 5 \times 4\\\\x = 20 \ units[/tex]
Thus, the value of x which is equal to length RQ is 20 units.
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HELPPPP!!!! ASAPPPPP!!!! TIMEDDDDD!!!!
Answer:
Yoyo and yoyo
Step-by-step explanation:
I need help with this question
Answer: yes
Step-by-step explanation:
a dilation is increasing the size, even just by a slight bit. that is where dilating your eyes comes into play, it is making your pupils bigger. so yes, this seems to be a dilation.
With Big Phone Company, you pay $0.39 for the connection and $0.03 per minute
With LittlePhone Company, you pay $0.25 for the connection and $0.07 per minute
If you plan on making a call that will take at least 4 minutes, which company offers the better
deal?
A. Both companies will charge the same amount.
B. There is not enough information.
C. BigPhone company offers the better deal for this call.
D. LittlePhone company offers the better deal for this call
Big Phone Company offers a better deal for this call.
Option C is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Big Phone Company:
Cost after 4 minutes.
= 0.39 + 4 x 0.03
= 0.39 + 0.12
= $0.51
LittlePhone Company
Cost after 4 minutes.
= 0.25 + 4 x 0.07
= 0.25 + 0.28
= $0.53
Thus,
The Big Phone Company charges less as compared to the LittlePhone Company after using it for 4 minutes.
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