Answer:
84.78 ft^3Solution,
Radius=3 ft
Height=9 ft
Volume of cone=?
Now,
[tex]volume \: of \: cone \\ = \frac{1}{2}\pi \: {r}^{2} h \\ = \frac{1}{2} \times 3.14 \times {3}^{2} \times 9 \\ = \frac{1}{2} \times 3.14 \times 9 \times 9 \\ = 84.78 \: {ft}^{3} [/tex]
hope this helps...
Good luck on your assignment
Answer:
V = 84.82 ft³
Step-by-step explanation:
Volume of Cone = [tex]\pi r^2\frac{h}{3}[/tex]
Where r = 3, h = 9
=> V = [tex](3.14)(3)^2(\frac{9}{3} )[/tex]
=> V = (3.14)(9)(3)
=> V = 84.82 ft³
Mr. Nicholas invested $4,250 into an account that pays 3.5% interest, compounded annually. How much will Mr. Nicholas’s investment be worth after 8 years?
Answer:
$5596.44
Step-by-step explanation:
$4250*(1.035)^8= $5596.44
Please help im really confused
Answer:
A=235 cm 2
Step-by-step explanation:
A1=L x W
A1=9 x 20 180 + 55=235
A1=180cm 2
A2= L x W
A2=11 x 5
A2=55 cm2
Answer:
[tex]246 {cm}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What’s c ? And I need explanation plz
Answer:
a
Step-by-step explanation:
the probablity of getting head when flipping a coin that hasn't been altered is 50/50, therefor it's a :) hope it helped
Answer:
A
Step-by-step explanation:
The probability scale shows how likely or unlikely something is going to happen. So when flipping an unbiased (fair) coin, the probability of getting a head is exactly 50%. Thus, A means "half" on the probability scale so A is the correct answer.
Help! Stuck on this question (calculus)
If [tex]y=\frac{3}{x^2}[/tex]
work out [tex]\frac{dx}{dy}[/tex]
Answer:
[tex]\displaystyle \frac{dx}{dy} = \frac{3\sqrt{\frac{3}{y}}(y - 1)}{6y}[/tex]
General Formulas and Concepts:
Algebra I
Terms/CoefficientsFunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Implicit Differentiation
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \frac{3}{x^2}[/tex]
Step 2: Differentiate
Rewrite Function: [tex]\displaystyle yx^2 = 3[/tex][Implicit Differentiation] Basic Power Rule [Product Rule]: [tex]\displaystyle y^{1 - 1}x^2 + y(2x^{2 - 1})\frac{dx}{dy} = 3[/tex]Simplify: [tex]\displaystyle x^2 + y(2x)\frac{dx}{dy} = 3[/tex]Isolate [tex]\displaystyle \frac{dx}{dy}[/tex] term: [tex]\displaystyle y(2x)\frac{dx}{dy} = 3 - x^2[/tex]Isolate [tex]\displaystyle \frac{dx}{dy}[/tex]: [tex]\displaystyle \frac{dx}{dy} = \frac{3 - x^2}{2xy}[/tex]Substitute in x²: [tex]\displaystyle \frac{dx}{dy} = \frac{3 - \frac{3}{y}}{2xy}[/tex]Simplify: [tex]\displaystyle \frac{dx}{dy} = \frac{3(y - 1)}{2xy^2}[/tex]Substitute in x: [tex]\displaystyle \frac{dx}{dy} = \frac{3(y - 1)}{2y^2(\sqrt{\frac{3}{y}})}[/tex]Simplify: [tex]\displaystyle \frac{dx}{dy} = \frac{3\sqrt{\frac{3}{y}}(y - 1)}{6y}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
BRAINLIEST 5 STARS AND THANKS
Answer:
8. 24+36+12= 72 in cubed
And yes it would fit because 72 is greater than 64
9. 2+21= 23 ft cubed
What is the value of:
1/2f (c-d) +k-d
where f=5, d=114c, k=f-2 and c=8
A counter recorded 254 revolutions of the bicycle wheel shown. How far did the bicycle travel? Use 22/7
[tex]C=\pi d[/tex]
[tex]22/7(5/4)[/tex]
[tex]=3.92857142857[/tex]
[tex]3.92857142857(254)[/tex]
[tex]=997.857142857[/tex]
In 254 revolutions , the bicycle will travel [tex]997.85m[/tex]
Circumference :The circumference of bicycle is given as,
[tex]C=\pi d[/tex]
Where [tex]d[/tex] is diameter of bicycle.
Given that,[tex]d=\frac{5}{4} ,\pi=22/7[/tex]
Substitute values in above equation.
[tex]C=\frac{22}{7}*\frac{5}{4}\\ \\ C=\frac{110}{28}=3.93[/tex]
In 254 revolutions of the bicycle wheel is,[tex]C=254*3.93=997.85m[/tex]
In 254 revolutions , the bicycle will travel [tex]997.85m[/tex]
Learn more about the Circumference of circle here:
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Your question was incomplete , Complete question is here :
"A counter recorded 254 revolutions of the bicycle wheel shown below how far did the bicycle travel. Use 22/7 as pi and the diameter of the wheel is 5/4."
Please help me this is pretty easy I’m just dumb . Tell me wheaten each of the following is a proper fraction(p), and improper fraction (I), or a mixed number (M)
Answer:
1. I,P,M,P
2. P,I,P,M
3. M,P,P,I
4. P,I,M,P
Mason says that (12x+4)-(-3x+5) and 15x -1 are equivalent. Is he correct
Answer:
Yes.
Step-by-step explanation:
I have attached the work to your problem.
Please see the attachment below.
I hope this helps!
Answer:
yes he is correct
Step-by-step explanation:
(12x+4)-(-3x+5)
take out parenthesis,
12x+4--3x-5
simplify,
12x+4+3x-5
do the math,
15x-1
Tyron made 60 cakes. He gave 1/6 of the 60 cakes to Lilly. What fraction of the cakes does he have left?
Answer:
38/60 or 19/30
Step-by-step explanation:
The question isn't fully attached as stated by the person who submitted it.
The fraction of the cakes he has left is ( 5 / 6 ). The remaining number of cakes is 50.
What is a fraction?Expression in maths is defined as the collection of numbers, variables, and functions using signs like addition, subtraction, multiplication and division.
The fraction is calculated as:-
The remaining fraction = 1 - ( 1 / 6 )
= ( 6 - 1 ) / 6
= 5 / 6
The remaining number of cakes,
Remaining number = 60 x ( 5 / 6 )
Remaining number = 50
Hence, the remaining number of cakes is 50.
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For an exponential regression equation in the form y=ab^x , a value of 1.101 for b will cause y to get smaller as x gets larger True or false
Answer:
False
Step-by-step explanation:
What is the product of (x-2)(x+2)?
Answer:
The difference of squares is (a - b)(a + b) = a² - b². Since a = x and b = 2, the answer is x² - 4.
Solve for h.
–10 − 8h − 14h = –15h + 18
h =
Answer:
[tex] \boxed{h = -4} [/tex]
Step-by-step explanation:
[tex] = > - 10 - 8h - 14h = - 15h + 18 \\ \\ = > - 10 - 22h = - 15h + 18 \\ \\ = > - 22h + 15h - 10 = 18 \\ \\ = > - 7h - 10 = 18 \\ \\ = > - 7h = 18 + 10 \\ \\ = > - 7h = 28 \\ \\ = > 7h = - 28 \\ \\ = > h = - \frac{28}{7} \\ \\ = > h = -4[/tex]
Des buys a pack of starbursts that has 3 orange,6 pink , 1 yellow , and 5 red starbursts. She puts the candy in the bowl. If she reaches in and grabs two starbursts without putting one back , what is the probability that she will pick a pink and then a yellow?
Answer:
3/70
Step-by-step explanation:
3 orange,6 pink , 1 yellow , and 5 red = 15
P(pink) = number of pink/ total = 6/15 = 3/5
Then without putting it back
3 orange,5 pink , 1 yellow , and 5 red = 14
P(yellow) = number of yellow/ total = 1/14
P(pink, no replacement, yellow) = 3/5*1/14 = 3/70
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
- [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 8, 2 ] , thus
f(b) = f(2) = - 4 ← read from graph
f(a) = f(- 8) = 1 ← read from graph, thus
average rate of change = [tex]\frac{-4-1}{2-(-8)}[/tex] = [tex]\frac{-5}{10}[/tex] = - [tex]\frac{1}{2}[/tex]
Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once. Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?
Answer:
You would need to know how much money she spent and how much she had left.
Step-by-step explanation:
With this, you could find out how much money she had in total.
Sample Response:
To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Which inequality pairs with y≤−2x−1 to complete the system of linear inequalities represented by the graph? y<−2x+2 y>−2x+2 y<2x−2 y>2x−2
Answer:Oscar D
Step-by-step explanation:
Answer: B.
Step-by-step explanation:
What is the answer for this question??
The correct answer is D: 10x = 1000, which simplifies to x = 100
Please help me find the volume and explain how you found it in a clear form
Answer:
Let's solve this with 3 calculations
1) Volume of the lower section (highlighted in blue)
3 cm hgt 16 cm long 3 cm wide
Volume = 3 * 3 * 16 = 144 cubic cm
2) Volume of left "block"
Volume = 4 cm hgt * 4 cm long * 3 cm wide =
4 * 4 * 3 = 48 cubic cm
3) Volume of right "block"
length = 16cm - 3 - 4 - 3 = 6 cm
Volume = 4 cm hgt * 6 cm long * 3 cm wide =
4 * 6 * 3 = 72 cubic cm
TOTAL VOLUME = 144 + 48 + 72 = 264 cubic cm
Step-by-step explanation:
Find The equation of a circle that has it center at (-4,3) and has a radius of 5.
Answer:
A.
Step-by-step explanation:
Center = (a,b) = (-4,3)
So, a = -4, b = 3
Radius = 5
Equation of circle:
[tex](x-a)^2+(y-b)^2 = r^2[/tex]
Putting the givens
=> (x+4)²+(y-3)² = 25
[tex] {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\
{(x - (4))}^{2} + {(y + 3))}^{3} = {5}^{2} \\ {(x - 4)}^{2} + {(y + 3)}^{2} = 25[/tex]
Determine the
equation of a line
that has an
x-intercept of 3 and
a y-intercept of 4.
Answer:
Step-by-step explanation:
x intercept it means y=0 (3,0)
y intercept means x=0 (0,4)
find the slope : y2-y1/x2-x1
y2-y1= 4-0=4
x2-x1= 0-3=-3
m=4/-3
y=mx+b b=4 since x=0
y=-4/3 x+4
What is the answer of the Fractions listed? Will give Brainliest 20 points
Answer:
- 6 1/2
Step-by-step explanation:
-4 - 2 1/2
Since the signs are the same, we add them together and take the signs
4+2 1/2 = 6 1/2
Take the sign
- 6 1/2
Answer:
(-4) - 2 1/2 = -6.5
Step-by-step explanation:
( −4 ) − 2 1/2 = -13/2
-13/2 = -6 1/2
What is the solution to the system of equations?
y=x+3
x=-2
Simply plug in x to the formula to y.
y = -2 + 3
y = 1
and
x = -2
I hope this is what you were looking for.
Answer:
y=1
Step-by-step explanation:
Plug x=-2 into the equation y=x+3:
y=(-2)+3
y=1
Which inequality represents all the solutions of 10(3x + 2) > 7(2x − 4)?
Answer:
x>-3
Step-by-step explanation:
Answer:
x > -3
Step-by-step explanation: First you have to distribute the 10 to 3x +2 and 7 to 2x -4 . 10 times 3x + 2 is 30x + 20. 7 times 2x -4 is 14 x -28 . Subtract 20 from both sides, which is 30x = 14x-48 , because -28 minus 20 is -48. Subtract 14 x from both sides which is gonna be 16x >-48 , divide both sides by 16 which is x > -3.
2. Find the value of V343 X V27
Answer:
De value of v is 12
Step-by-step explanation:
v343×v27
343×27÷27
=12red 7
Evaluate 4 squared times 3 to the power of 3
Answer: 432
Step-by-step explanation:
Four squared = 16 since 4 times 4 = 16
3 to the power of 3 = 27 since 3 times 3 times 3 = 27
Finally, multiply them together, 16 times 27 = 432
Answer: 432
Step-by-step explanation:
(4^2)×(3^3)
4×4=16
16×3^3=16×(3×3×3)
16×27=432
1/3( 5x - 9) = 2( 1/3x + 6) what is x?
Answer:
x = 9
Step-by-step explanation:
→Distribute the [tex]\frac{1}{3}[/tex] to (5x - 9), and the 2 to [tex](\frac{1}{3} x + 6)[/tex]:
[tex]\frac{1}{3}[/tex](5x - 9) = 2( [tex]\frac{1}{3}x[/tex] + 6)
[tex]\frac{5}{3}x[/tex] + 3 = [tex]\frac{2}{3}x[/tex]+ 12
→Subtract [tex]\frac{2}{3}x[/tex] from both sides:
x + 3 = 12
→Subtract 3 from both sides:
x = 9
The value of x from the given equation is 6.
The given equation is 1/3 (5x - 9) = 2(1/3 x + 6).
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, 5x/3 - 9/3 = 2x/3 +6/2
5x/3 -3 = 2x/3 +3
5x/3 -2x/3 =3+3
(5x-2x)/3 = 6
3x/3 = 6
x = 6
Therefore, the value of x from the given equation is 6.
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A study shows that 35% of the fish caught in a local lake had high levels of mercury. Suppose that 10 fish were caught from this lake. Find, to the nearest tenth of a percent, the probability that at least 6 of the 10 fish caught did not contain high levels of mercury.
Answer:
0.985
Step-by-step explanation:
Given: 35% of the fish caught in a local lake had high levels of mercury.
To find: probability that at least 6 of the 10 fish caught did not contain high levels of mercury
Solution:
Probability refers to chances of occurrence of some event.
Probability = number of favourable outcomes/Total number of outcomes
Let A denotes the event that the fish caught in a local lake had high levels of mercury.
As 35% of the fish caught in a local lake had high levels of mercury,
[tex]P(A)=0.35[/tex]
Probability that at least 6 of the 10 fish caught did not contain high levels of mercury = 1 - probability that 4 of the 10 fish caught contain high levels of mercury = [tex]1-(0.35)^4=1-0.015=0.985[/tex]
The weights of the cars passing over a bridge have a mean 3,550 pounds and standard deviation of 870 pounds. Assume that the weights of the cars passing over the bridge are normally distributed. Use the empirical rule to estimate the percentage of cars over the bridge whose weights are between 1810 and 4420 lbs.
a. 13.5%
b. 81.5%
c. 68%
d. 95%
Mean = 3550
SD = 870
Find P(1810 <x<4420)
z = x -mean / sd
= (1810 - 3550 / 870) < z< (4420 - 3550 / 870)
= -2 <z< 1
Using the -z table -2 = 0.0228 and 1 = 0.8413
Subtract: 0.8413 - 0.0228 = 0.8185 x 100 = 81.85%
Rounding everything may change answer slightly so
The closest one is B 81.5%
What is the purpose and structure of a proof in Geometry?
Answer: A geometric proof involves writing reasoned, logical explanations that use definitions, axioms, postulates, and previously proved theorems to arrive at a conclusion about a geometric statement.
