Answer:
volume of hemisphere =1912.26cm^3
Step-by-step explanation:
radius(r)=9.7cm
now volume of hemisphere=(2/3)π[tex]r^{3}[/tex]
=(2/3)*(22/7)*(9.7)^3
=(2/3)*(22/7)*912.673
=(2/3)*2868.40086
=1912.26cm^3
The volume of a hemisphere is [tex]1910.52 cm^{3}[/tex].
What is volume of a hemisphere?
A hemisphere is half of a full sphere, we can calculate the volume of a hemisphere just by halving the volume of the complete sphere.
So, we can calculate the volume of a hemisphere by using the following formula,
[tex]$V=\frac{2}{3}\pi {{r}^{3}}$[/tex]
Here, [tex]r[/tex] is the radius, [tex]V[/tex] is the volume of hemisphere.
So,
It is given that the radius is [tex]9.7 cm[/tex].
We have to find [tex]V[/tex].
So,
[tex]$V=\frac{2}{3}\cdot 3.14\cdot {{\left( 9.7 \right)}^{3}}$[/tex]
[tex]V=1910.52[/tex]
Hence, the volume of hemisphere is [tex]$1910.52\text{ c}{{\text{m}}^{3}}$[/tex].
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PLZ HELP QUICK Which property explains why these two expressions are equal - the commutative, the associative, or distributive property of addition?
1 + (2 + 3) = (1 + 2) + 3
Answer:
I think it's commutative. ;-;
Step-by-step explanation:
Jaxon invested $58,000 in an account paying an interest rate of 2.7% compounded
quarterly. Assuming no deposits or withdrawals are made, how much money, to the
nearest dollar, would be in the account after 14 years?
Answer:
A≈84536
Step-by-step explanation:
After 14 year span, the money in the account would be $84,535.62.
Given that,
Jaxon invested $58,000 in an account paying an interest rate of 2.7% compounded quarterly.
Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Here,
principal(P) = 85000
rate(r) = 2.7% = 0.027
Time(a) = 14 years,
n = 4
Apply compound interest identity,
Amount = principal[1 + r/n]ⁿᵃ
Amount = 58000[ 1 + 0.027/4]⁴ˣ¹⁴
Amount = 84,535.62
Thus, After a 14-year span, the money in the account would be $84,535.62.
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help me please , the question is in the picture .
Answer: 4.2x10^5=420000
Step-by-step explanation: its a positive five so you go in the positive direction from the decimal but if it was a negative you could go the other way (hope this helps)
Which of the tables represents a function? Table AInput Output 4 3 3 2 3 1 Table BInput Output 1 3 3 5 5 7 Table CInput Output 0 0 1 4 1 5 Table DInput Output 4 1 4 2 4 3 Table A Table B Table C Table D
Answer:
The answer is Table B. Because only table B. doesn't have repeating x or domain.
Answer:
I think the answer might be b
Step-by-step explanation:
Im Giving Brainliest............. Someone Plzz Help?
Answer:
For the first one 25.925%
The second is 23.333%
The third is 27.27%
Let me know if this helps!
The perimeter of a rectangular parking lot is 312m .
If the length of the parking lot is 95 m, what is its width?
Answer:
61 meters
Step-by-step explanation:
The perimeter of a rectangle is 2l + 2w, l being the length and w being the width. Substitute the known value into the equation and solve:
312 = 2(95) + 2w
312 = 190 + 2w
122 = 2w
w = 61
A biker cycles 9 miles in 2 3 of an hour.
a
Make a chart and fill it in to show how far he will bike if he maintains the same pace for 2 hours, 3 hours, 3.5 hours
Answer:
2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles
Step-by-step explanation:
1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)
2.) 2 hours: 13.5 * 2 = 27 miles
3.) 3 hours: 13.5 * 3 = 40.5 miles
4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles
2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles
Step-by-step explanation:
1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)
2.) 2 hours: 13.5 * 2 = 27 miles
3.) 3 hours: 13.5 * 3 = 40.5 miles
4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles
this is the guys above i just need points
2-90 Frieda Friendly works for a local car dealership. She noticed that 3434
34
of the cars are sedans and that half of them are white. What fraction of the dealership’s cars are white sedans?
A. Use a unit rectangle to represent this situation. Label the parts carefully. (Complete in your notebook.)
B. Write an equation or a sentence that describes the situation, and answer the question. (Complete in your notebook.)
Write your answer from part (b) as a decimal and as a percent.
PLEASE ISTG IM CRYING OVER THIS QUESTION- I'LL MARK BRAINLIEST!!!!!!
Is this true or false? Ill give brainliest!!!
Answer:true
Step-by-step explanation:
2x + y = -8
3x - 5y = -25
It’s substitution
Answer:
x = -5 , y = 2
Step-by-step explanation:
Solve the following system:
{y + 2 x = -8
-5 y + 3 x = -25
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for y:
{y + 2 x = -8
-5 y + 3 x = -25
Hint: | Solve for y.
Subtract 2 x from both sides:
{y = -2 x - 8
-5 y + 3 x = -25
Hint: | Perform a substitution.
Substitute y = -2 x - 8 into the second equation:
{y = -2 x - 8
3 x - 5 (-2 x - 8) = -25
Hint: | Expand the left hand side of the equation 3 x - 5 (-2 x - 8) = -25.
3 x - 5 (-2 x - 8) = (10 x + 40) + 3 x = 13 x + 40:
{y = -2 x - 8
13 x + 40 = -25
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for x:
{y = -2 x - 8
13 x + 40 = -25
Hint: | Isolate terms with x to the left hand side.
Subtract 40 from both sides:
{y = -2 x - 8
13 x = -65
Hint: | Solve for x.
Divide both sides by 13:
{y = -2 x - 8
x = -5
Hint: | Perform a back substitution.
Substitute x = -5 into the first equation:
{y = 2
x = -5
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = -5 , y = 2
Please answer !!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
<A = 117degrees
Step-by-step explanation:
<A and <B are verticle angles, as given. Hence they will be of equal measures. It is given that <A = 5x -3, and <B = 4x + 21.
Using this, set up an equation;
<A = <B
5x - 3 = 4x + 21
Inverse operations,
5x - 3 = 4x + 21
+3 +3
5x = 4x + 24
-4x -4x
x = 24
Now substitute back in, to find the measure of <A,
5x - 3
x = 24
5 ( 24 ) - 3
120 - 3
117
PLEASE HELP ME 18 POINTS PLEASE HELP
Answer:
the y-intercept it at 3
Answer:
(3,0) !
Step-by-step explanation:
The y intercept is where the given line touches the y axis (the vertical line of a coordinate plane)
I hope this helps!
can someone solve your be a life saver
First, not a function if we draw from A to E
Second, domain is -1 ≤ x ≤ 3
Third, range is -5 ≤ y ≤ 2
Answer: Domain=3,-1,3; Range=-5,-3,2
Step-by-step explanation:
please complete the chart with the correct angle measures
Answer:
10. X= 11
11. X= 5
Step-by-step explanation:
5x-8+43=90
x= 11
--------------------
3x+3+72=90
x= 5
give brainliest pls
Solve this equation algebraically!!!
Answer:
See Explanation
Step-by-step explanation:
[tex]1 - \sqrt{x} \neq \: 0 \\ \\ \therefore \: 1 \neq \sqrt{x} \\ \\ {1}^{2} \neq ({ \sqrt{x}) }^{2} \\ \\ 1 \neq \: x \\ [/tex]
Hence, x will take values other than 1.
pls help me with this
Error: She did not fully simplify [tex]\sqrt{12x^{3}}[/tex]
Correct simplification:
[tex]5x\sqrt{48x^{5}}\\\\=5x\sqrt{16x^{4}}\sqrt{3x}\\\\=5x(4x^{2})\sqrt{3x}\\\\=20x^{3}\sqrt{3x}[/tex]
Please dont steal points. i will report.
Answer:
C.
Hope this helps.
At the time that a 55 foot tall tree casts a shadow that is 32 feet long, a nearby woman is 5.5 feet tall. Which measure is the closest to the length of the shadow she will cast?
Answer:
3.2ft long shadow
Step-by-step explanation:
In this problem we are given a ratio between the tree/shadow and woman/shadow therefore we are given 3 values and 1 unknown then we can use the Rule of Three to calculate the length of the shadow which we will refer to as x. The Rule of Three simply multiplies the diagonal values and divides by the third value in order to get the missing unknown like so...
55ft tall <======> 32ft long shadow
5.5ft tall <======> x ft long shadow
(5.5 * 32) / 55 = 3.2ft long shadow
Finally, we can see that the woman's shadow would be a 3.2ft long shadow
PLZZZZ HELPPPPP!! THIS IS TIMED!!
Find the length of MN.
*LOOK AT PICTURE*
Answer:
MN = 10
Step-by-step explanation:
There is a scale factor of 2 [This means that the lengths of triangle ∆MPN are exactly 2 times larger than ∆SRQ], so 5 × 2 = 10.
Notice that each corresponding line is marked by a black mark perpendicular to the side. Since 2 corresponds to 4, and 3 corresponds to 6, 5 must correspond to 10. These triangles are similar as indicated by the marks so there is just a size difference. Because these two triangles are similar, the sides must be proportional.
∆MPN ~ ∆SRQ.
It can also be thought of as completing a set of proportional fractions:
4/2 = 6/3 = ?/5
4/2 = 2 → 6/3 = 2 → ?/5 = 2.
?/5 = 2, ? = 5 × 2 = 10.
A pie recipe calls for u to use 3/8 cup of milk, 1/8 cup of oil, and 3/8 cup of water. How many liquid do you need to make the pie
Given f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3, determine whether or not x-a and x+a are factors of f(x). Hence, find, in terms of a, the roots of f(x) = 0.
thankyou so much
Answer:
Step-by-step explanation:
f(x) = 2x³ + ax² - 7a²x - 6a³
= 2x³ - 2a²x + ax² - a³ - 5a²x - 5a³
= 2x(x² - a²) + a(x² - a²) - 5a²(x+a)
= (2x+a)(x - a)(x + a) - 5a²(x + a)
= (x + a)[(2x + a)(x - a) - 5a²]
= (x + a)(2x² - ax - 6a²)
= (x + a)(2x + 3a)(x - 2a)
x-a is the factor of the equation and x + a is not a factor of the equation,
All the roots of the equation are x + a, 2x+3a, x-2a.
What is a cubic equation ?"In algebra, a cubic equation in one variable is an equation of the form
ax^3+bx^2+cx+d=0
in which a is nonzero.
The solutions of this equation are called roots of the cubic function defined by the left-hand side of the equation. If all of the coefficients a, b, c, and d of the cubic equation are real numbers, then it has at least one real root (this is true for all odd-degree polynomial functions). "
Given equation is [tex]f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3[/tex]
Now,
[tex]f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3\\\\= 2x^3 - 2a^2x + ax^2 - a^3 - 5a^2x - 5a^3\\\\= 2x(x^2 - a^2) + a(x^2 - a^2) - 5a^2(x+a)\\\\= (2x+a)(x - a)(x + a) - 5a^2(x + a)\\\\= (x + a)[(2x + a)(x - a) - 5a^2]\\\\= (x + a)(2x^2 - ax - 6a^2)\\\\= (x + a)(2x + 3a)(x - 2a)[/tex]
Hence, the roots of the equation are x + a, 2x +3a, x - 2a.
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Find the value of 2 - 3x when x = 7 PLEASE HELP ME :(
Answer:
-19
Step-by-step explanation:
Answer:
-19
Step-by-step explanation:
replace x with seven then simplify
About how many $40 shirts could you buy with $290?
Answer:
7 shirts
Step-by-step explanation:
290/40 = 7.25
But since you can't have 7.25 shirts, it's just 7.
Okay yes I know it's messy it was a long stressful day lol so just check the last two, are they written right? are they even right? Thanks so much love you guys!!!!!!
Answer:
Yes
Step-by-step explanation:
Yes it is
No 1 is correct
No 2 is correct
No 3 is correct
No 4 is correct
and what i mean by correct is you answered it correct
I hope this helps you :)
Answer:
yes
Step-by-step explanation:
yes it is
it is all correct
please help! algebra 1
The graph of a function f is shown. Use the graph to estimate the average rate of change from x=-2 to x=0
Answer:
2
Step-by-step explanation:
Given:
The interval, x = -2 to x = 0.
Required:
Average rate of change from x = -2 to x = 0.
SOLUTION:
From the graph,
If x = -2, f(-2) = 0.
If x = 0, f(0) = 4
Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]
Where,
[tex] a = -2, f(a) = 0 [/tex]
[tex] b = 0, f(b) = 4 [/tex]
Plug in the values into the formula:
[tex] = \frac{4 - 0}{0 -(-2)} [/tex]
[tex] = \frac{4}{2} = 2 [/tex]
Average rate of change from x = -2 to x = 0 is 2.
Aubrey bought 5 packs of stickers each with 30 stickers. Izzy bought 4 packs,
each with 40 stickers. How many stickers do they have total
They have 310 stickers in total
Ricky and Sam each bought a remote control car for $80. A few months later they both sold it. Ricky sold his car for 25% less than the original price and Sam sold his car for 30% less than the original price. How much more did Ricky get than Sam?
Answer:
Ricky get $4 than Sam.
Step-by-step explanation:
.25x80=20
80-20=60
.30×80=24
80-24=56
common difference for 7,15,23,31,29
Answer: it’s 8 if that 29 is supposed to be a 39 otherwise i don’t know
Step-by-step explanation:
PLS HELP ITS DUE IN AN HOUR!
WILL GIVE BRAINLIEST!
Answer:
Step-by-step explanation:
Unfortunately other people have promised to give Brainliest before and they never did. However, I'll answer the third question and tell you that it's 8 sides.