Answer:
none
Step-by-step explanation:
___________________
What is the factored form of 250x3 − 16?
Answer:
Step-by-step explanation:
250x^3-16
2(125x^3-8)
2[(5x)^3-(2)^3]
2(5x-3)[(5x)^2+5x*3+(2)^2]
2(5x-3)(25x^2+15x+4)
If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 10 cm. (Round your answer to three decimal places.)
Answer:
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.
Step-by-step explanation:
Surface area of an snowball:
An snowball has spherical format. The surface area of an sphere is given by:
[tex]S = d^2\pi[/tex]
In which d is the diameter of the sphere.
In this question:
We need to differentiate S implicitly in function of time. So
[tex]\frac{dS}{dt} = 2d\pi\frac{dd}{dt}[/tex]
Surface area decreases at a rate of 9 cm2/min
This means that [tex]\frac{dS}{dt} = -9[/tex]
At which the diameter decreases when the diameter is 10 cm?
This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 10[/tex]. So
[tex]\frac{dS}{dt} = 2d\pi\frac{dd}{dt}[/tex]
[tex]-9 = 2(10)\pi\frac{dd}{dt}[/tex]
[tex]\frac{dd}{dt} = -\frac{9}{20\pi}[/tex]
[tex]\frac{dd}{dt} = -0.143[/tex]
Area in cm², so diameter in cm.
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.
If f(x) = 3x + 2 and g(x) = 2x - 2, what is (f - g)(x)?
A. x + 4
B. X-2
O c.
Х
OD.
5x-2
O E.
X-4
Answer:
option A
Step-by-step explanation:
f(x) = 3x + 2
g(x) = 2x - 2
(f - g)(x) = f(x) - g(x)
= (3x + 2) - (2x - 2)
=3x + 2 - 2x + 2
= x + 4
The value of function (f - g)(x) is,
⇒ (f - g)(x) = x + 4
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Function are,
f(x) = 3x + 2 and g(x) = 2x - 2
Hence, The value of function (f - g)(x) is,
⇒ (f - g)(x) = (3x + 2) - (2x - 2)
⇒ (f - g)(x) = 3x + 2 - 2x + 2
⇒ (f - g)(x) = x + 4
Thus, The value of function (f - g)(x) is,
⇒ (f - g)(x) = x + 4
Learn more about the function visit:
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How many Kilometers did they travel by train?
Answer:
Not 100 percent sure about this one.
Answer: The answer is 800
that’s all you type in 800.
Step-by-step explanation:
(5) A sports drink bottle contains 16.9 fluid ounces. Andre drank 80% of the bottle. How many fluid ounces did Andre drink? Show your reasoning.
Your answer
Submit
13.52 fluid were drunk by Andre
thirty 5 points for this answer. no links.
4(a-2) = 2(a-4) + 2a
Answer:
a = 0
Step-by-step explanation:
4(a-2) = 2(a-4) + 2a
4a - 8 = 2a - 8 + 2a
4a - 2a - 2a = -8 + 8
0 = 0
This has infinitely many solutions.
Step-by-step explanation:
Any number you put for a would work to make them equal. Feel free to try it.
Write a sine function that has a midline of 4, an amplitude of 2 and a period of 5
571
8 yd
10 yd
3 yd
Find the volume of the triangular prism.
A. 120 yd
B. 130 yd
C. 240 yd
D. 260 yd
Answer:
The answer for this question is 240 yd
50 POINTS !
PLEASE HELP ILL GIVE BRAINLIEST !! EXPLAIN YOUR ANSWER .
FAKE ANSWERS WILL GET REPORTED.
Answer:
cap it's only 5
Step-by-step explanation:
Answer:
I think she drove 65 mile.
Step-by-step explanation:
I used a piece of paper and drew a triangle. One side 25 and another 60.
Then i used the Pythagorean theorem.
Which statements are always true
about ABCD? Select all that apply.
Answer:
It doesn't show the statements so I'll create some.
Step-by-step explanation:
ABCD make a shape with 2 pairs of parallel lines.
ABCD when broken apart can create 4 triangles
450 high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (GPA) was 2.96, and the standard deviation was 0.21. What is the margin of error, assuming a 70% confidence level, to the nearest hundredth
Answer:
The margin of error is of 0.01.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.7}{2} = 0.15[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.15 = 0.85[/tex], so Z = 1.037.
The margin of error is of:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation was 0.21.
This means that [tex]\sigma = 0.21[/tex]
Sample of 450:
This means that [tex]n = 450[/tex]
What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.037\frac{0.21}{\sqrt{450}}[/tex]
[tex]M = 0.01[/tex]
The margin of error is of 0.01.
6. Find the area of the segment. (the shaded region)
There are two pieces we need to find here: the area of the section of the circle, and the area of the triangle.
Area of the section of the circle:
A = pi * r^2
A = pi * 15^2
A = 225pi * 72/360 || We only need this part of the circle, not the whole thing.
A = 45pi
Area of the triangle:
A = 1/2 * a * b * sin(c)
A = 1/2 * 15 * 15 * sin(72)
A = 112.5 * sin(72)
Next, we need to subtract the area of the triangle from the area of the section of the circle.
A = 45pi - (112.5 * sin(72))
A = 112.8165 units^2 -- Feel free to round off wherever you need!
Hope this helps!! :)
Chromium 51 is a radioactive substance used in medicine. It has a 1/2 life of 28 days. The equation for its exponential decay model is `y=a(.5)^t/28 If 10 mg is ingested by a patient, how many days before only 8 mg is still emitting radiation?
Answer:
9 days before only 8 mg is still emitting radiation.
Step-by-step explanation:
The exponential model is:
[tex]y(t) = a(0.5)^{\frac{t}{28}}[/tex]
In which a is y(0), that is, the initial quantity.
10 mg is ingested by a patient
This means that [tex]a = 10[/tex], and thus:
[tex]y(t) = 10(0.5)^{\frac{t}{28}}[/tex]
How many days before only 8 mg is still emitting radiation?
This is t for which y(t) = 8. So
[tex]y(t) = 10(0.5)^{\frac{t}{28}}[/tex]
[tex]8 = 10(0.5)^{\frac{t}{28}}[/tex]
[tex](0.5)^{\frac{t}{28}} = \frac{8}{10}[/tex]
[tex](0.5)^{\frac{t}{28}} = 0.8[/tex]
[tex]\log{(0.5)^{\frac{t}{28}}} = \log{0.8}[/tex]
[tex](\frac{t}{28})\log{0.5} = \log{0.8}[/tex]
[tex]\frac{t}{28} = \frac{\log{0.8}}{\log{0.5}}[/tex]
[tex]t = 28\frac{\log{0.8}}{\log{0.5}}[/tex]
[tex]t = 9[/tex]
9 days before only 8 mg is still emitting radiation.
The height of the great pyramid of Egypt, is 32 and the base is a square of side 29m.
find the volume of the pyramid.
A) 8970.67
B) 8330.66
C) 3083.67
Answer:
B) 8330.66
Step-by-step explanation:
PLEASE HELP IM BEING TIMED
The quadratic functions f(x) and g(x) are described as follows:
f(x) = −2x2 + 9
x g(x)
0 −5
1 3
2 11
3 3
4 −5
Which statement best compares the maximum value of the two functions?
The maximum value is the same for both functions.
f(x) has a greater maximum value than g(x).
g(x) has a greater maximum value than f(x).
The maximum values cannot be determined.
Answer:
The answer is C or the third option. "g(x) has a greater maximum value than f(x)"
Step-by-step explanation:
I took the test and got it correct.
The statement that best compares the maximum value of the two functions is g(x) has a greater maximum value than f(x).
How to compare both functions?The function f is given as:
f(x) = -2x^2 + 9
Differentiate the function
f'(x) = -4x
Set to 0
-4x = 0
Divide both sides by -4
x = 0
Substitute x = 0 in f(x)
f(0) = -2(0)^2 + 9
f(0) = 9
This means that the maximum value of function f(x) is 9
From the table of function g(x), the maximum is 11
11 is greater than 9
Hence, g(x) has a greater maximum value than f(x).
Read more about maximum values at:
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Can someone help me?
Answer:
look at the explanations
Step-by-step explanation:
part a: the zeros are the two points on the x-axis
- looks like (0,10) and (0,60)
part b: the zeros represent her minimum profit where she makes 0 dollars
part c: the vertex is the very top of the parabola
- looks like (35, 12000)
part d: the vertex represents the max amount of profits she makes
A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 60 nonprofit organizations, the mean one-time gift donation in the past year was $75, with a standard deviation of $12. If you test the null hypothesis at the 0.05 level of significance, is there evidence that the mean one-time gift donation is greater than $70?
Answer:
The p-value of the test is 0.001 < 0.05, which means that there is evidence at the 0.05 level of significance that the mean one-time gift donation is greater than $70.
Step-by-step explanation:
Test if the mean one-time gift donation is greater than $70:
At the null hypothesis, we test if it is 70 or less, that is:
[tex]H_0: \mu \leq 70[/tex]
At the alternate hypothesis, we test if it is greater than 70, that is:
[tex]H_1: \mu > 70[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
70 is tested at the null hypothesis:
This means that [tex]\mu = 70[/tex]
Based on a random sample of 60 nonprofit organizations, the mean one-time gift donation in the past year was $75, with a standard deviation of $12.
This means that [tex]n = 60, X = 75, s = 12[/tex].
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{75 - 70}{\frac{12}{\sqrt{60}}}[/tex]
[tex]t = 3.23[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample mean above 75, which is a right-tailed test with t = 3.23 and 60 - 1 = 59 degrees of freedom.
Using a t-distribution calculator, this p-value is of 0.001.
The p-value of the test is 0.001 < 0.05, which means that there is evidence at the 0.05 level of significance that the mean one-time gift donation is greater than $70.
PLS HELP ME!!:((( I'm stuck can u pls help me I will give the brainliest pls!!!
Answer:
1. 3/6
2.12/24
3. 6/12
4. 6/12
5.8/16
6. 9/18
7. 12/24
8. 12/24
im not sure if everything is correct
Answer:
To see the shaded regions, check out the attached image below. The shaded regions are in red.
The fractional values for each figure are:
3/612/246/126/128/169/1812/2412/24The fractional answers are in bold. All of those fractions reduce to 1/2. Make sure that you don't reduce any of those fractions.
========================================================
Explanation:
We count out the number of squares for each figure. Then we shade half of them. For problem 1, we just shade the left half (or you can shade the right half, but you can only pick one side). This is because 3 is half of 6.
Problem 2 is a similar story, but we'll shade the first two columns out of the four total columns. You could shade the last two columns if you wanted, but you can't shade everything.
Problem 3 has an odd number of columns, but an even number of rows. I'm shading the first two rows to represent half of the blocks.
The rest are handled in a similar manner.
------------
To form the fractional results, you basically count the number of shaded smaller squares out of the number of squares total.
For example, the answer for problem 1 is 3/6 because we have 3 shaded red squares out of 6 squares total. The rest are handled the same way.
please answer fast and good
Y=1. Cause both land on one bht ones positive and neagitive
Question 1 of 5
Select the correct answer.
Consider functions f and g, where function g is a transformation of function f.
Which statement correctly describes a transformation on the graph of function f to arrive at the graph of function g?
The graph of function f is shifted 3 units to the right.
The midline of function f is shifted 3 units down.
The graph of function f is reflected over the x-axis.
The amplitude of function f is vertically stretched by a factor of 3.
Answer:
The graph of function f is shifted 3 units to the right.
Step-by-step explanation:
Sample Answer from Edmentum
Answer:
The graph of function f is shifted 3 units to the right.
Step-by-step explanation:
Plato/Edmentum
pls help!! correct answer will be marked brainliest
Answer:
67.7
Step-by-step explanation:
Because it is the exact same as 67.7 angle n is. So it is 67.7 I went over this recently so I understand your pain!
What combination of transformations is shown below?
Answer:
translation then rotation
Convert 7 pounds 3 ounces to kilograms.
Conversion ratios:
1 lb = 16 OZ
1 kg = 2.2 lb
Answer:
3.3
Step-by-step explanation:
7lb 3oz
3oz/16oz=.1875lb
7lb+.1875lb=7.1875lb
7.1875lb/2.2kg=3.27kg
There was a seller of horses, who sold all his horses to three people. To the first man he sold half of all his horses and a half of a horse. To the second man he sold half of what he had left and a half of a horse. To the third man he again sold half of what was left and a half of a horse. How many horses did he have at first? (No horses were harmed!)
Answer:
7
Step-by-step explanation:
3RD MAN: 1
2ND MAN: 2
1ST MAN: 4
3rd Man = 1/2+1/2 = 1
2nd Man = 1+1 = 2
1st Man = 2*2 = 4
What are the solutions to the quadratic equation x2-16=0
Answer:
x = -4, 4
Step-by-step explanation:
Hi there!
[tex]x^2-16=0[/tex]
Rewrite 16:
[tex]x^2-4^2=0[/tex]
The difference of squares rule states that [tex]a^2-b^2=(a+b)(a-b)[/tex]. With this, apply the difference of squares to the equation:
[tex](x+4)(x-4)=0[/tex]
The zero-product property states that if the product of two numbers is 0, then one of the numbers must be equal to zero. Set each term equal to 0 and find the solutions:
[tex]x+4=0\\x=-4[/tex]
[tex]x-4=0\\x=4[/tex]
Therefore, the solutions are -4 and 4.
I hope this helps!
I need the work and answers fast
A disc is thrown into the air with an upward velocity of 20 ft/s. It's
height h in feet after t seconds is given by the function h=-16t^2+20t+6.
1. How long will it take the disc to reach the maximum height?
2. What is the maximum height that the disc reaches?
3. How long does it take for the disc to hit the ground?
Thank you
Yoko started an assignment at 8:34 AM and finished it at 9:21 AM.
How long did it take her? Give your answer in minutes.
Answer:
She started at 8:34 and finished at 9:21, with some simple math.. the answer is 47 minutes
Plz help me well mark brainliest if correct...???
Answer:
D) 225
Step-by-step explanation:
Given in chart. The box at column "Milk Sold" and row "Friday" has the number 225 in it. Cumulative milk sold refers to the total number of milk sold through the entire chart (from top to bottom) so far. The question is asking for how many milks were sold on Friday specifically, so we want the "Milk Sold" column.
What is the domain of the function y=7x-1
Answer:
Ahh I did this about a year ago but try math-way (without -) it gives the correct answers sorry I couldn't help more.