Answer:
V = 260.2 m^3
Step-by-step explanation:
The area of the circular base is (pi)(r)^2, where r is the radius and half the diameter.
In this case the volume of the cone is V = (1/3)(pi)(5 m)^2*(10 m) = 260.2 m^3
Answer: 262
...........................
You need a 90% alcohol solution. On hand, you have a 55 mL of a 45% alcohol mixture. You also have 95% alcohol mixture. How much of the 95% mixture will you need to add to obtain the desired solution?
Answer:
495 milliliters of the 95% mixture are needed.
Step-by-step explanation:
Given that I need a 90% alcohol solution, and on hand I have a 55 ml of a 45% alcohol mixture, and I also have 95% alcohol mixture, to determine how much of the 95% mixture will I need to add to obtain the desired solution, the following calculation must be performed:
55 x 0.45 + 45 x 0.95 = 67.5
25 x 0.45 + 75 x 0.95 = 82.5
15 x 0.45 + 85 x 0.95 = 87.5
10 x 0.45 + 90 x 0.95 = 90
10 = 55
90 = X
90 x 55/10 = X
4,950 / 10 = X
495 = X
Thus, 495 milliliters of the 95% mixture are needed.
F(x)=8x sqrt(x-x^2) Find the exact maximum
First take note of the domain of f(x) ; the square root term is defined as long as x - x ² ≥ 0, or 0 ≤ x ≤ 1.
Check the value of f(x) at these endpoints:
f (0) = 0
f (1) = 0
Take the derivative of f(x) :
[tex]f(x)=8x\sqrt{x-x^2}=8x\left(x-x^2\right)^{\frac12}[/tex]
[tex]\implies f'(x)=8\left(x-x^2\right)^{\frac12}+4x\left(x-x^2\right)^{-\frac12}(1-2x)=4\left(x-x^2\right)^{-\frac12}\left(2\left(x-x^2)\right)+x(1-2x)\right)=\dfrac{4(3x-4x^2)}{\sqrt{x-x^2}}[/tex]
For x ≠ 0, we can eliminate the √x term in the denominator:
[tex]x\neq0\implies f'(x)=\dfrac{4\sqrt x (3-4x)}{\sqrt{1-x}}[/tex]
f(x) has critical points where f '(x) is zero or undefined. We know about the undefined case, which occurs at the boundary of the domain of f(x). Check where f '(x) = 0 :
√x (3 - 4x) = 0
√x = 0 or 3 - 4x = 0
The first case gives x = 0, which we ignore. The second leaves us with x = 3/4, at which point we get a maximum of max{f(x) } = 3√3 / 2.
i need helpppppppp ITSSSSSSSSSSSSSSSSSSSSSSS URGETTTTTTTT HELPPPPPPPPPPPPPPPP
Answer:
what school you do
Step-by-step explanation:
what grade
4m - - - - >4x10=40m^2
6m - - - - >6x10=60m^2
Find the measures of the numbered angles in each kite.
Answer:
x = 15
y = 13
Step-by-step explanation:
6x - 4 = 5x + 11
x = 15
4y + 3 + 3y + 86 = 180
7y = 91
y = 13
g(x) = 2x – 4
h(x)=x²-3
Find (g.h)(5)
Answer:
40
Step-by-step explanation:
This is asking you to plug in the value of h(5) into g(x). First solve for h(5)
x^2-3 = h(x)
5^2-3= 22
h(5) = 22
h(5) is 22. So now, plug that into g(x).
g(h(5)) = 2(22)-4
44-4=40
(g.h)(5) is 40.
No scams. Show your work. write answer as a percent and round the nearest whole number if needed.
Answer:
Step-by-step explanation:
we will find the area of the inner circle and then the area of the outer circle and see what the ratio is between those 2
area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex] (where r is the radius, NOT the diameter, easy to confuse)
the radius of the inner circle is 2.5. which is half of the diameter of 5
inner circle = [tex]\pi[/tex]*(2.5)^2
inner circle = 19.6349...
outer circle = [tex]\pi[/tex]*(10^2)
outer circle = 314.1592...
the ratio is 19.6349... / 314.1592... = 0.0625
0.0625 = 6.25%
= 6% ( rounded to nearest whole number )
You borrow $600 to buy a canoe. The simple annual interest rate is 5%. You pay off the loan after 4 years of equal monthly payments. How much is each payment?
Answer:
Amount of each payment = $15 each month
Step-by-step explanation:
Given:
Amount borrow = $600
Simple rate = 5% = 0.05
Number of year = 4 year
Payment method = monthly payment
Find:
Amount of each payment
Computation:
Total amount after 4 year = P + PRT
Total amount after 4 year = 600 + (600)(4)(0.05)
Total amount after 4 year = 600 + 120
Total amount after 4 year = $720
Number of total month = 4 x 12
Number of total month = 48
Amount of each payment = Total amount after 4 year / Number of total month
Amount of each payment = $720 / 48
Amount of each payment = $15 each month
Tarzan leaned a 100-foot ladder against the side of a building. The
hase of the ladder is 18 feet from the base of the building. The top of
the ladder is 16 feet from the top of the building How tall, to the
narest tenth of a foot, is the building?
16
100
18
Answer:
is 16 foot a part from the building
A can of tuna has a diameter of 4 Inches and a helght of 3 inches. What is the volume of the can of tuna? (Use 3.14 for
TT.)
37.68 in 3
150.72 in. 3
56.52 in 3
113.04 in. 3
Answer:
37.68 Inches cubed (A)
Step-by-step explanation:
The formula for a cylinder is:
πr^2(h)
First, let's find the radius, which is:
4/2 = 2
Now, we can plug in the values:
3.14(2)^2(3)
Do exponents first:
3.14(4)(3)
Multiply left to right:
12.56(3)
Again:
37.68 Inches
So, the answer is:
37.68 Inches cubed (Or A)
Hope this helps!
I pick a ball from a bag, replace it and then pick
another. I keep doing this until I have chosen 40 balls. If I picked out 12 yellow balls, estimate the probability of not picking out a yellow ball.
Answer:
It should be 50%
Step-by-step explanation:
It should be 50% because there are 12 yellow balls, so it should be 50%.
Hope it helps you
anyone caring to help me?? please and thank you it would be very much appreciated <3
Answer:
75
90
15, i think ??
165
hope this helps !!!! :D
Step-by-step explanation:
Solution:
Here,
In triangle LKM,
6x+5x+x=180
12x=180
x=180/12
x=15
Now,
1.75
2.90
3.15
4.165
a customer asked for 48 oz of turkey lunch meat and 64 oz of cheese.How many pounds of lunch meat did the customer buy in total
Answer:
in order to get the total you must add add 48 + 64 whereby you get 112
Step-by-step explanation:
the the customer bought 112 pounds of meat hope that helps
I could really use some help with this
Answer:
see explanation
Step-by-step explanation:
f(x + 2) is a horizontal translation of f(x) 2 units to the left
f(x - 2) is a horizontal translation of f(x) 2 units to the right
Given
f(x) = x³ , then
f(x + 2) = f(x + 2)³ is a horizontal translation of f(x) 2 units left
f(x - 2) = (x - 2)³ is a horizontal translation of f(x) 2 units right
Which type of graph(s) should be used for the following data? Choose all that apply. (Check photo)
Answer:
Histogram is the correct answer
MARK AS BRAINLIEST PLEASE.
The type of graph used is Bar graph.
What is Bar graph?A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent.
As, per the given data,
the best way to represent the data is Bar graph.
The data is a primary data and for such type of data Bar graph is used,
Learn more about Bar graph here:
https://brainly.com/question/8644324
#SPJ2
Find the GCF of the terms of the polynomial.
1424 - 7023 + 1022
Please help me please
Answer:
y = x
Step-by-step explanation:
Hi,
We know that in the equation...
y = mx + b
m = slope
So, to find the equation of the line, we have to plug in what we already know. So...
-7 = 1 (-7) + b
Solve...
-7 = -7 + b
b = 0
That means that your equation is...
y = x
(you don't have to put the one in front of the x)
I hope this helps :)
In a large city school system with 20 elementary schools, the school board is considering the adoption of a new policy that would require elementary students to pass a test in order to be promoted to the next grade. The PTA wants to find out whether parents agree with this plan.
a. If they put a big ad in the newspaper asking people to log their opinions on the PTA Web site what kind of bias might they encounter.
1. response bias due to desire to give acceptable answers
2. nonresponse bias
3. bias due to the use of a voluntary response sample
4. bias due to a poor sampling frame resulting in undercoverage
5. no bias
b. If they randomly select one of the elementary schools and contact every parent by phone, what kind of bias is there?
1. bias due to the use of a voluntary response sample
2. response bias due to desire to give acceptable answers
3. undercoverage bias due to a poor sampling frame
4. no bias
5. nonresponse bias
c. Suppose they randomly select 20 parents from each elementary school. Send them a survey, and follow up with a phone call if they do not return the survey within a week. What kind of sampling was done?
1. stratified sampling
2. convenience sample
3. simple random sampling
4. voluntary response sample
A movie theater has 940 seats. Tickets were sold for 846 of the seats. For what percent of the seats were tickets sold?
Answer:
90 percent
Step-by-step explanation:
PLEASE HELP FAST!!!!!
Answer:
120 feet is the answer
Can someone help me pls
Answer:
AB = 18
Step-by-step explanation:
tan 45° = 18/AB
1 = 18/AB
AB = 18
Which of the following is the closest to the value of x
Identify the equation that correctly shows the given relationship.
If a= 35 then find b
9514 1404 393
Answer:
35
Step-by-step explanation:
All of the marked angles subtend the same arc, so all have the same measure.
a = b = c = d = 35
b = 35
Can someone help me pls
Answer:
Okay so for this one use the Pythagorean theorem
Step-by-step explanation:
A^2 + 28^2 = 128^2
You are trying to find A.
So 28^2 is 784
128^2 is 16384
Now you will subtract 784 from both sides of the equation your new equation should be this: a^2 = 15600
Now you find the square root of both sides which gives you: A= 124.89 round it to 125
Which table shows ordered pairs that satisfy the function y = x + 1?
А
X
12
0
2
- 4
1
4
B
-2
0
2
5
0
5
С
X
y
5
-2
0
2.
1
5
D
x
y
-24
0 2
2 4
Answer:
Knowledge Check The table of ordered pairs (x, y) gives an exponential function. Write an equation for the function. x y -1 6 0 12 1 1 24 2. 48 88 O х ? I Don't ...
Step-by-step explanation:
Consider the probability that no less than 95 out of 152 registered voters will vote in the presidential election. Assume the probability that a given registered voter will vote in the presidential election is 61%. Approximate the probability using the normal distribution. Round your answer to four decimal places.
Answer:
0.3821 = 38.21% probability that no less than 95 out of 152 registered voters will vote in the presidential election.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Assume the probability that a given registered voter will vote in the presidential election is 61%.
This means that [tex]p = 0.61[/tex]
152 registed voters:
This means that [tex]n = 152[/tex]
Mean and Standard deviation:
[tex]\mu = E(X) = 152*0.61 = 92.72[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{152*0.61*0.39} = 6.01[/tex]
Probability that no less than 95 out of 152 registered voters will vote in the presidential election.
This is, using continuity correction, [tex]P(X \geq 95 - 0.5) = P(X \geq 94.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 94.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{94.5 - 92.72}{6.01}[/tex]
[tex]Z = 0.3[/tex]
[tex]Z = 0.3[/tex] has a pvalue of 0.6179
1 - 0.6179 = 0.3821
0.3821 = 38.21% probability that no less than 95 out of 152 registered voters will vote in the presidential election.
Eileen plant a tree that is 2 meters tall in her yard which of the following is equivalent to meters following is equivalent to 2 meters?
(A) 200 mm
(B) 20 cm
(C) 200 km
(D) 2,000 mm
Answer:
D
Step-by-step explanation:
Answer: (d)
Step-by-step explanation:
Eli has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $356.89.
He buys 2 bicycle reflectors for $16.70 each and a pair of bike gloves for $27.47.
He plans to spend some or all of the money he has left to buy new biking outfits for $74.08 each.
Write and solve an inequality which can be used to determine oo, the number of outfits Eli can purchase while staying within his budget.
HELP (for the first select answer its “yes” or “no”)
Answer:
No, the sample is too small compared to the size of the shipment.
Step-by-step explanation:
Two buckets of paint each have a mass of 9 kg. If the gravitational force between them is 6.0x10 to the power of minus 10, how far apart are they?
Gravitational force = (gravity x mass1x mass2)/distance^2
6.0x10^-10 = (6.67x10^-11 x 9 x 9)/d^2
D = sqrt(6.0x10^-10/6.67x10^-11 x81)
D = 3.0 m
The answer is B.3.0 m
Answer:
B
Step-by-step explanation:
3.0 m