Answers
[tex]54 \pi \text{ cm}^3[/tex]
=========================================================
Work Shown:
[tex]V = \pi*r^2*h\\\\V = \pi*3^2*6\\\\V = \pi*9*6\\\\V = \pi*54\\\\V = 54\pi\\\\[/tex]
This is the exact volume in terms of pi.
To find an approximation, replace pi with something like 3.14 and simplify.
The units for the volume are in cubic centimeters, which can be abbreviated to "cubic cm" or to [tex]\text{cm}^3[/tex]
Related Questions
Alex wishes to have R30000.00 available to buy a car in four years' time. The bank pays 9.75%.interest per year, compounded semi-anmually. How much should he invest in a savings account now so that he will be able to do this?
Answers
what is bird flu? when was it first detected among human?
Each week Raisa earns $5.25 for doing chores. After saving money for 12 weeks, Raisa spends $13.45. How much money does Raisa have left?
Answers
Answer:
$49.55
Step-by-step explanation:
She earns $5.25 every week for 12 weeks, so we multiply her weekly income by 12.
$5.25 * 12 = $63.00
Then she spends $13.45, so we deduct that from her earnings.
$63.00 - $5.25 = $49.55
That shows us that she has $49.55 left.
Find the diameter of the circle with the given circumference. Use 3.14 for i.
C= 23 cm
The diameter is about
cm.
(Round to the nearest tenth as needed.)
Answers
23= d x 3.14
D= 23/3.14
D= 7.3 cm
If a speedometer's absolute error is 1 mph and it measures a speed of 52 mph, what is the relative error of this measurement expressed as a percentage? (Round to the nearest tenth of a percent if necessary.
Answers
Relative error = absolute error / measured speed
Relative error = 1/52 = 0.01923
Percent = 0.01923 x 100 = 1.923%
Rounded to nearest tenth = 1.9%
Can someone help me, please?
10 2/3 x 3 x 6 3/8
thx
Answers
Answer:
204
Step-by-step explanation:
Answer:
204
Step-by-step explanation:
Given the following question:
[tex]10\frac{2}{3} \times3\times6\frac{3}{8}[/tex]
In order to solve we will convert the mixed numbers into improper fractions and then solve by multiplying the numerators by the numerators and multiplying the denominators by the denominators.
[tex]10\frac{2}{3} \times3\times6\frac{3}{8}[/tex]
[tex]10\frac{2}{3} \times3[/tex]
[tex]10\frac{2}{3} =3\times10=30+2=32=\frac{32}{3}[/tex]
[tex]3=\frac{3}{1}[/tex]
[tex]\frac{32}{3} \times\frac{3}{1}[/tex]
[tex]32\times3=96[/tex]
[tex]3\times1=3[/tex]
[tex]=\frac{96}{3}[/tex]
[tex]\frac{96}{3}\times6\frac{3}{8}[/tex]
[tex]6\frac{3}{8} =8\times6=48+3=51=\frac{51}{8}[/tex]
[tex]\frac{96}{3}\times\frac{51}{8}[/tex]
[tex]96\times51=4896[/tex]
[tex]3\times8=24[/tex]
[tex]=\frac{4986}{24}[/tex]
Simplify by reducing:
[tex]=\frac{4986}{24}\div2=\frac{2493}{12}[/tex]
[tex]=\frac{2493}{12}[/tex]
[tex]\frac{2493}{12}[/tex]
[tex]=\frac{2493}{12}=2493\div12=204[/tex]
[tex]=204[/tex]
Your answer is indeed "204."
Hope this helps.
Simplify 5(4x³y²)³/(4x⁵y³)⁴
Answers
Answer:
5
4x^11*y^6
In words:
5 over 4x to the 11th power times y to the 6 power.
Step-by-step explanation:
simplify from original to this:
5x^9*y^6
4x^20*y^12
=
5y^6
4x^11*y^12
=
5
4x^11*y^6
e
Find the area of this shape.
Not to scale
14.1 cm
15.5 cm
12.0 cm
17.4 cm
Answers
Answer:
220.35
Step-by-step explanation:
Think of this rectangle of as two horizontal rectangles. The area of the bottom one is expressed by 17.4*12
The area of the top rectangle can be expressed by 3.3*3.5, as 17.4-14.1=3.3 and 15.5-12=3.5.
Add the products for the whole area.
Please help!
Find the average rate of change of g(x)=2x2-8x from x=2 to x=5
Answers
Answer:
The average rate of change is 20.
Step-by-step explanation:
To find the answer, plug in the 2 and 5 for x.
g(2) = 2(2)^2 - 8(2)
g(2) = 16 - 16
g(2) = 0
g(5) = 2(5)^2 - 8(5)
g(5) = 100 - 40
g(5) = 60
g(5)-g(2)/5-2 = the average rate of change
60/3=20
What is the equation in point slope form of the line that passes through the point (2 , 4) and has a slope of 3?
Question 4 options:
y=3x-10
y-4=3(x-2)
y+4=3(x+2)
Answers
Solution:
Step-1: Use point slope form.
y - y₁ = m(x - x₁)=> y - 4 = 3(x - 2) [Option B]Step-2: Identify the equation of the line.
=> y - 4 = 3x - 6=> y = 3x - 6 + 4=> y = 3x - 2Option B is correct.
Equation in point slope form
[tex]\\ \rm\Rrightarrow y-4=3(x-2)[/tex]
[tex]\\ \rm\Rrightarrow y-4=3x-6[/tex]
[tex]\\ \rm\Rrightarrow 3x-y-6+4=0[/tex]
[tex]\\ \rm\Rrightarrow 3x-y-2=0[/tex]
New data collected on roller coasters, comparing height of the initial drop to
the speed of the coaster, found that the regression line equation is actually y 0.502x +12.250.
Answers
The regression line equation y = 0.502x +12.250 is a linear regression
The predicted speed at a drop of 100 feet is 62.45The predicted speed at a drop of 500 feet is 263.25It is unlikely that the speed of the roller coaster would reach 263.25The predicted speed at a drop of 100 feetThe regression line equation is given as:
y = 0.502x +12.250
Substitute 100 for x
y = 0.502 * 100 +12.250
Evaluate the sum
y = 62.45
The predicted speed at a drop of 500 feetThe regression line equation is given as:
y = 0.502x +12.250
Substitute 500 for x
y = 0.502 * 500 +12.250
Evaluate the sum
y = 263.25
It is unlikely that the speed of the roller coaster would reach 263.25
Read more about regression line equations at:
https://brainly.com/question/6774275
Why use Elimination of unknowns instead of Cramer’s rules?
Answers
Step by step explanation:
Cramer's rule is used to solve a system of linear equations with n equations in n variables.The basis of this method is matrices and determinants, so we need to understand these two concepts first in order to be able to apply Cramer's Rule in finding solutions to a system of linear equations.
sorry if wrong
I hope this helps
=
For the function f(x) = x2 – 6, find the equation of the tangent line at
X = -1.
Answers
Answer:
[tex]y = - 2x - 7[/tex]
Step-by-step explanation:
One way is to differentiate the function
[tex] \frac{d}{dx} {x}^{2} - \frac{d}{dx} 6[/tex]
Use Power Rule
[tex]2x - 0[/tex]
[tex]2x[/tex]
P
[tex] - 2[/tex]
Plug in -1 so we get
That gives us the slope of the tangent line. we must find the point it passes through.
[tex]( - 1) {}^{2} - 6 = - 5[/tex]
So it have a slope of -2 and passes through (-1,-5)
So we use point slope form
[tex]y + 5 = - 2(x + 1)[/tex]
[tex]y = - 2x - 7[/tex]
PLEASE HELP URGENT!!! Cannot figure this out, due tonight.
Answers
Answer:
f(x+h) = (2x² -x +2) +4xh -h +2h²(f(x+h) -f(x))/h = 4x -1 +2hStep-by-step explanation:
Like a lot of algebraic manipulation associated with average rate of change, it is not difficult, but it can be tedious.
a)[tex]f(x+h)=2(x+h)^2-(x+h) +2 = 2(x^2 +2xh +h^2)-x -h +2\\\\\boxed{f(x+h)=2x^2-x+2+4xh-h+2h^2}[/tex]
__
b)Then the difference quotient is ...
[tex]\dfrac{f(x+h)-f(x)}{h}=\dfrac{(2x^2-x+2)+4xh-h+2h^2-(2x^2-x+2)}{h}\\\\=\dfrac{4xh-h+2h^2}{h}\\\\\boxed{\dfrac{f(x+h)-f(x)}{h}=4x-1+2h}[/tex]
3/4 of a number is greater than 3/16 of the same number by 81. What is 1/2 of the number?
Answers
Answer:
72
Step-by-step explanation:
The given word description can be translated to math symbols this way, when x represents the number:
3/4x -3/16x = 81
Multiplying by 16 gives ...
12x -3x = 1296
9x = 1296 . . . . . . simplify
We want to find the value of half the number, so we can divide this by 18 to get ...
x/2 = 1296/18 = 72
Half the number is 72.
The points (-6,r) and (2,5) lie on a line with slope -1/4. Find the missing coordinate r.
Answers
Answer:
r = 7
Step-by-step explanation:
Calculate the slope using the slope formula then equate to - [tex]\frac{1}{4}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 6, r ) and (x₂, y₂ ) = (2, 5 )
m = [tex]\frac{5-r}{2-(-6)}[/tex] = [tex]\frac{5-r}{2+6}[/tex] = [tex]\frac{5-r}{8}[/tex] , then
[tex]\frac{5-r}{8}[/tex] = - [tex]\frac{1}{4}[/tex] ( multiply both sides by 8 to clear the fractions )
5 - r = - 2 ( subtract 5 from both sides )
- r = - 7 ( multiply both sides by - 1 )
r = 7
Answer:
[tex]\displaystyle 7[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m\\ \\ \frac{-r + 5}{6 + 2} = m \Rightarrow \frac{-r + 5}{8} \hookrightarrow -\frac{2}{8} = -\frac{1}{4} \\ \\ \boxed{7 = r}[/tex]
I am joyous to assist you at any time.
3a + 5b = 26 ; a + 5b = 22
Answers
Answer:
[tex]\boxed{a=2,\:b=4}[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}3a+5b=26\\ a+5b=22\end{bmatrix}[/tex]
Isolate a from 3a + 5b = 26,
[tex]a=\cfrac{26-5b}{3}[/tex]
[tex]\begin{bmatrix}\cfrac{26-5b}{3}+5b=22\end{bmatrix}[/tex]
[tex]\begin{bmatrix}\cfrac{26+10b}{3}=22\end{bmatrix}[/tex]
Now, Isolate b for
[tex]\cfrac{26+10b}{3}=22\:\:\boxed{b=4}[/tex]
Now, Substitute b=4
[tex]a=\cfrac{26-5\times \:4}{3}[/tex]
[tex]\cfrac{26-5\times \:4}{3}\:\:\boxed{a=2}[/tex]
[tex]\boxed{a=2,\:b=4}[/tex]
~
find value of x in x+10=20 with equation
Answers
Answer:
x = 10Step-by-step explanation:
[tex]x + 10 = 20\\x = 20 - 10\\x = 10[/tex]
Answer:
10
Step-by-step explanation:
x+10=20
x=20-10
=10
Anthony bought a Bulls jersey that was originally priced $80 but was on sale for a discount of 50% off. What was the sale price of the jersey
Answers
Answer:
40 dollar
Step-by-step explanation:
half of 80 is 40
Answer:
40$
Step-by-step explanation:
sale price(S.P.)=discount% of M.P.(marked price)
S.P.=50% of 80$
S.P=50/100*80$
Hence,S.P.(selling price)=0.5*80$=40$
Translate the sentence into an inequality.
The difference of c and 9 is greater than 23.
Answers
Answer:
c-9>23.
Step-by-step explanation:
The difference in an equation is c-9. Greator is >. So c-9>23.
Simplify
Find the answer
Answers
Answer:
b³
Step-by-step explanation:
The division symbol between the two terms represents a "subtraction symbol", meaning you have to subtract the exponents like this:
[tex]b^5 - b^2[/tex] [tex]b^5^-^2[/tex] [tex]b^3[/tex]Thus, the answer is b³
what is 7/9 - ?/9 = 2/3
Answers
Answer:
It's 1/9
Step-by-step explanation:
Multiply 2/3 x 3/3 to equal the denominator with the 7/9 and the ?/9. 2/3 turns into 6/9. 7/9 - 6/9 is 1/9.
The answer is 1/9
Thats the one i meant pleaseee helppppppppp fastttttttttt
i alr have a c in this class!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
divide it into smaller shapes and find the area then find the sum
Admission to a museum costs $12 for adults and $7 for children. A group of 35 people attending the museum paid a total of $315 in admission fees. Write a system of equations to represent the situation. Let a represent the number of adult admissions, and let c represent the number of child admissions.
Answers
Answer:
see explanation
Step-by-step explanation:
a represents adults and c represents children , then the system of equations is
a + c = 35 → (1)
12a + 7c = 315 → (2)
Answer:
a + c = 35 → (1)
12a + 7c = 315 → (2)
Step-by-step explanation:
a + c = 35 → (1)
12a + 7c = 315 → (2)
Fatima has some pens
she gives 3/10 of her pens to her brother
she gives her brother 12 pens
how many pens is she left with?
Show your working
Answers
Answer:
28
Step-by-step explanation:
3/10 x X= 12
X=12/(3/10)
X=40 she has 40 pens altogether then she gave 12 to her brother so 40-12=28
Ari restaurant, all the freezers are set to a temperature that is below 3°F.
Let X be the temperature of the freezer. Which inequality represents temperatures below 3°F?
2 <-3
2-3
3 <3
2 > 3
Answers
Answer:
Answer is A
Step-by-step explanation:
X is below -3
Answer:
x>3=2>3
Step-by-step explanation:
To be eligible for a program, a person must make a salary of more than $32,000 per year or less
than $10,000 per year. What is this in monthly salary?
Answers
Answer:
Less than $833.33 per month or greater than $2666.67
Step-by-step explanation:
→ Divide both figures by 12
32000 ÷ 12 = 2666.67
10000 ÷ 12 = 833.33
Hcf of 84 and 49 I'm so lazy
Answers
Answer:
7HCF of 49 and 84 is 7.
Step-by-step explanation:
mark me brainliest
A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at
random from the bag.
What is the probability that the marble drawn will not be blue?
A. 2/6
B.3/4
C.7/6
D.7/8
Answers
Answer:
7/9
Step-by-step explanation:
If the marble is not blue, the marble is either green, yellow or orange. That means we can add up 6, 12, and 10 to get 28. The total number of marbles in the bag is 36.
The probability that the marble will not be blue is 28/36. This can be simplified to 7/9
Hope this helps!
Which is the volume of the solid? The solid is made up of 2 cuboids. First cuboid has length as 4 unit cubes, height as 1 unit cubes and width as 2 unit cubes. Second cuboid has length as 1 unit cube, height as 3 unit cubes and width as 2 unit cubes.
A. 14 cubic units
B. 16 cubic units
C. 21 cubic units
D. 35 cubic units
Answers
Answer:
14 cubic units
Step-by-step explanation:
The Formula for Volume is
V = L x W x H
Since there are 2, you need to add the two totals together.
Cubic one:
4 x 1 x 2 = 8 (it also doesn't matter what order you put your numbers in, you will still get the same outcome. Its called the commutative property of multiplication)
Cubic Two:
1 x 3 x 2 = 6
Now just add the totals together:
6 + 8 = 14
Here, we have to find the volume of the solid which is made up of two cuboid. We know that the volume of cuboid is given by:
V = l × w × hThe volume of the solid will be equal to the sum of volume of given two cuboid
For 1st cuboid :
l = 4 unit h = 1 unit w = 2 unitTherefore, Volume:
➝ V = l × w × h
➝ V = 4 × 2 × 1
➝ V = 8 unit³
For 2nd cuboid:
l = 1 unitw = 2 unitsh = 3 unitsTherefore, Volume:
➝ V = l × w × h
➝ V = 1 × 2 × 3
➝ V = 6 unit ³
Now, Volume of solid :
ㅤㅤㅤ➙ sum of V of cuboid
ㅤㅤㅤ➙ 8 + 6
ㅤㅤㅤ➙ 14 unit ³
Numbers Write the mixed number as a fraction.
Answers
As you may have noticed, to transform an improper fraction into a mixed number, you must divide the numerator by the denominator. The quotient will be the integer part of the number, and the remainder will be the numerator of the remaining fraction, which will have the same denominator as the original.