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Related Questions
Can someone pls help me
Answers
Answer:
I rhink the answer would be 273°
Step-by-step explanation:
57+180=237°
Answer:
∠ BAC = 28.5°
Step-by-step explanation:
∠ AOB = 180° - 57° = 123° ( straight angle )
OA and OB are congruent ( radii of the circle ) , then Δ AOB is isosceles with base angles congruent, that is
∠ BAC = ∠ ABO , then
∠ BAC = [tex]\frac{180-123}{2}[/tex] = [tex]\frac{57}{2}[/tex] = 28.5°
There were 16 skittles in a bag there were 3 yellow, 4 red, 2 purple, 6 orange, and 1 green. What is the probability of pulling a red skittle (simplify your answer). The probability of a red is /
Answers
Total skittles = 16
So it will be 4/16
Simplify = 1/4
The graph shows the distance in miles, d, a car travels in hours. Explain why the graph does or does not represent a proportional relationship between the variables d and t.
Answers
Answer:
The graph shows a proportional relationship because t=50, and that pattern follows.
Step-by-step explanation:
The graph shows a proportional relationship because t=50, and that pattern follows.
The graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.
What is the speed of a body?The speed of a body is the rate at which it covers the total distance in the time taken. The speed of the body is given as,
[tex]s=\dfrac{d}{t}[/tex]
Here, (d) is the distance travelled by the body and (t) is the time taken by the body to cover that distance.
The graph shows the distance in miles, d, a car travels in hours. Rewrite the above formula, considering it for the car,
[tex]s=\dfrac{d}{t}\\t\times s={d}[/tex]
In this formula, distance in miles, d, is directly proportional to the time taken by car in hours.
It is because as the car moves, the time start to pass and so the distance car start to cover the distance. In more time, the car will cover more distance with same speed.
Thus, the graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.
Learn more about the speed here:
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Multiply 15 by 9 then divide by 2 fraction
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Answer:
15x9 is 130 but, what u mean by divided by 2 fraction?
Step-by-step explanation:
135/ 2 this is correct unless you want a mixed fraction which is 67 and 1/2
Consider the function f(x) = x3 + 34 over the interval [–3, 4]. According to the extreme value theorem, the function has a minimum value of
and a maximum value of
.
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The answer for this question is:
7, 98
The minimum value of the function is 7 and the maximum value of the function will be 98.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The function is given below.
f(x) = x³ + 34
The function is defined for the interval of [–3, 4].
The minimum value of the function at x = –3 will be
f(–3) = (–3)³ + 34
f(–3) = –27 + 34
f(–3) = 7
The maximum value of the function at x = 4 will be
f(4) = (4)³ + 34
f(4) = 64 + 34
f(4) = 98
Thus, the minimum value of the function is 7 and the maximum value of the function will be 98.
The graph is given below.
More about the function link is given below.
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A rocket is launched vertically from the ground with an initial velocity of 64 ft/sec. A) Write a quadratic function h(t) that shows the height, in feet, of the rocket t seconds after it was launched. B) Graph h (t) on the coordinate plane. C) Use your graph from Part 3 (b) to determine the rocket's maximum height, the amount of time it took to reach its maximum height, and the amount of time it was in the air. ( Answer options A,B,C) Please don't answer if you don't know how to) Will Mark Brainliest.
Answers
The calculated quadratic function for the height of the rocket is "[tex]h = 64t - 16.085t^2[/tex]" and the further calculation of the given points can be defined as follows:
For point A):
Calculation of the quadratic function:Rocket Initial velocity (u) [tex]= 64 \ \frac{feet}{sec}[/tex]
Considering gravity's acceleration of 32.17 feet/sec2
The rocket's height can be expressed as follows:
[tex]h = ut - \frac{1}{2} \times 32.17 \times t^2 \\\\h = 64 - 16.085 \times t^2 \\\\h = 64t - 16.085t^2[/tex]
For point B):
A y-axis indicates its rocket's height in feet, whereas the x-axis represents the duration in seconds.
Please find the attached file.
For point C):
As seen in the graph, after t = 1.989 seconds, the rocket reaches its highest height of 63.662 feet.maximum height = 63.66 feet, time t = 2 seconds. After 3.979 seconds, the rocket's height returned to zero.It would be in the air for 3.979 seconds. The rocket lingered in the air for 4 seconds.
Find out more information about the velocity here:
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Pls help me and explain!!
Answers
Answer:
22.919 or 23 degrees
Step-by-step explanation:
Use the theta or x in place of the usual angle. the lengths are adjacent and hypotenuse (a/h) so you use cosine. cos(x)=35/38 or cos(θ)=35/38
The standard deviation for a set of data with mean 25 and variance 16 is?
Answers
Answer:
Standard deviation = 4
Step-by-step explanation:
Given the following data;
Mean = 25
Variance = 16
To find the standard deviation;
Mathematically, standard deviation is given by the formula;
[tex]Standard \; deviation = \sqrt{variance}[/tex]
Substituting into the formula, we have;
[tex]Standard \; deviation = \sqrt{16}[/tex]
Standard deviation = 4
The Student Monitor surveys 1200 undergraduates from 100 colleges semiannually to understand trends among college students. Recently, the Student Monitor reported that the average amount of time spent per week on the Internet was 19.0 hours. You suspect that this amount is far too small for your campus and plan a survey. You feel that a reasonable estimate of the standard deviation is 10.0 hours. What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence
Answers
Answer:
A sample size of 385 is needed.
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 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[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.
You feel that a reasonable estimate of the standard deviation is 10.0 hours.
This means that [tex]\sigma = 10[/tex]
What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?
A sample size of n is needed. n is found when M = 1. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]1 = 1.96\frac{10}{\sqrt{n}}[/tex]
[tex]\sqrt{n} = 1.96*10[/tex]
[tex](\sqrt{n})^2 = (1.96*10)^2[/tex]
[tex]n = 384.16[/tex]
Rounding up:
A sample size of 385 is needed.
It would take ___ hours to drive 240 miles from Boston to New York, if one drives at a constant speed of 40 mph.
Answers
Answer:
6 hours.
Step-by-step explanation:
To find how many hours it would take to drive a 240 mile distance at a constant speed of 40 miles per hour, you'd divide 240 by 40 and the result of that is 6.
Answer:
6 hours
Explanation:
240/40= 6
1
The graph of the linear function y = f(x)
passes through the points (1, 2) and
(5, -1). What is the rate of change of y
with respect to x?
4
A
с
3
4
3
3
B
mit
D
wie
4
Answers
Answer:
-3/4
Step-by-step explanation:
y2 - y1 divided by x2 - x1 so you would do 2 - (-1) divided by 1 - 5
simplified is
3 divided by -4 or just -3/4
Please help, brainliest for correct answer
Answers
Answer:
m<2=60
Step-by-step explanation:
52+68=120+60=180
Express f(x) in the form f(x) = (x - k)q(x) +r for the given value of k.
f(x) = 4x^3+ x² + x-8, k= -1
Answers
Answer:
f(x) = (x + 1)*(4*x² - 3*x + 4) - 12
Step-by-step explanation:
We have:
f(x) = 4*x³ + x² + x - 8
We want to write this in:
f(x) = (x - k)*q(x) + r.
with k = -1
Then we want to write:
4*x³ + x² + x - 8 = (x - (-1))*q(x) + r
4*x³ + x² + x - 8 = (x + 1)*q(x) + r
Because f(x) is polynomial of degree 3, we know that q(x) must be a polynomial of degree 2.
then:
q(x) = a*x² + b*x + c
Then:
4*x³ + x² + x - 8 = (x + 1)*(a*x² + b*x + c) + r
4*x³ + x² + x - 8 = a*x³ + b*x² + c*x + a*x² + b*x + c + r
if we take common factors in the right side we get:
4*x³ + x² + x - 8 = a*x³ + (b + a)*x² + (c + b)*x + (c + r)
Now, we must have:
4*x³ = a*x³
then:
4 = a
We also must have:
x² = (b + a)*x²
1 = (b + 4)
1 - 4 = b
-3 = b
We also must have:
x = (c + b)*x
1 = (c + (-3))
1 + 3 = c
4 = c
And finally:
- 8 = (c + r)
-8 = 4 + r
-8 - 4 = r
-12 = r
Then:
f(x) = (x + 1)*(4*x² - 3*x + 4) - 12
The slope of a line is 0, and the y-intercept is 6. What is the equation written in slope intercept form.
Answers
Answer:
y=0x+6
Step-by-step explanation:
slope intercept form is: y=mx+b
if 70kg is 20% of peter's weight, then what is peter's total weight!?
Answers
Peter’s total weight is 50kg
(5^{-8})(5^{-10})=(5
−8
)(5
−10
)=
Answers
Answer:
1
3814697265625
Decimal Form:
2.62144 ⋅ 10 / 13
Step-by-step explanation:
find the area of the shade sector of the circle
Answers
Step-by-step explanation:
We need to find the area of the shaded region. We see that the region next to that has a central angle of 120°. Also we know that angle in a straight line is 180° . So the measure of central angle of that shaded region will be 180° - 120° = 60° . Now we can use the formula of area of sector to find out the area of the shaded region.
[tex]\tt\to Area = \dfrac{\Theta}{360^o}\times \pi r^2 \\\\\tt\to Area = \dfrac{60^o}{360^o}\times \pi (8cm)^2 \\\\\tt\to Area =\dfrac{\pi \times 64}{6}cm^2\\\\\to\boxed{\orange{\tt Area_{(Shaded)}= 10.66\pi cm^2}}[/tex]
Can someone pls help. Thx :) I give Brainliest :D
Answers
Answer:
36 flowers are left over
Step-by-step explanation:
54 is 60% of 90
90-54=36
Tivo families planned to go to the zoo. The entry ticket for one adult was $7.31 and
the entry ticket for one child was $5.66. There were two adults in the group. The
families intend to spend no more than $46.00. What is the greatest number of child
tickets that can be purchased?
Answers
Answer:
5 children
Step-by-step explanation:
Solve
$7.31 x2 = $14.62
$46 - 14.62 =$32
5.66 divided by 5 = 28.3
5.66 divided by 6 = 33
$33 is bigger than $31
Therefore, the greatest number of children tickets can be purchased is only 5.
d = 8.1h
The variable h represents the number of hours spent walking dogs, and the variable d
represents the amount of money earned. How many hours in all will it take Janelle to earn a
total of $19.44?
Answers
Answer:
2.4 hours or 2 hours, 24 minutes
Step-by-step explanation:
19.44 = 8.1h
h = 2.4
For the function f(x) = 1/4e^-x + e^x, prove that the arc length on any interval has the same value as the area under the curve.
Answers
Take an arbitrary interval [a, b], where a < b.
Compute the arc length L of y = f(x) over [a, b] :
[tex]L=\displaystyle\int_a^b\sqrt{1+\left(f'(x)\right)^2}\,\mathrm dx[/tex]
Now comptue the area A under the curve y = f(x) over [a, b] :
[tex]A=\displaystyle\int_a^bf(x)\,\mathrm dx[/tex]
We have
f (x) = 1/4 e ⁻ˣ + e ˣ → f ' (x) = -1/4 e ⁻ˣ + e ˣ
Then
√(1 + (f ' (x))²) = √(1 + (-1/4 e ⁻ˣ + e ˣ)²)
… = √(1 + 1/16 e ⁻²ˣ - 1/2 + e ²ˣ)
… = √(1/16 e ⁻²ˣ + 1/2 + e ²ˣ)
… = 1/4 √(e ⁻²ˣ + 8 + 16e ²ˣ)
… = 1/4 √((e ⁻ˣ + 4 e ˣ)²)
… = 1/4 (e ⁻ˣ + 4 e ˣ)
… = 1/4 e ⁻ˣ + e ˣ
… = f (x)
so both A = L for any choice of interval [a, b].
It is true that the arc length on any interval has the same value as the area under the curve.
How to prove the statementThe function is given as:
[tex]f(x) = \frac 14e^{-x} + e^x[/tex]
Differentiate the function
[tex]f'(x) = -\frac 14e^{-x} + e^x[/tex]
On any interval, the following must be true
[tex]f(x) =f'(x)[/tex]
and
[tex]f(x) = \sqrt{1 + (f'(x))^2}[/tex]
So, we have:
[tex]f(x) = \sqrt{1 + (-\frac 14e^{-x} + e^x)^2}[/tex]
Expand the exponents
[tex]f(x) = \sqrt{1 + (\frac{1}{16}e^{-2x} - \frac 12 + e^{2x})}[/tex]
Remove the bracket
[tex]f(x) = \sqrt{1 + \frac{1}{16}e^{-2x} - \frac 12 + e^{2x}}[/tex]
Evaluate the like terms
[tex]f(x) = \sqrt{\frac{1}{16}e^{-2x} + \frac 12 + e^{2x}}[/tex]
Multiply by 16/16
[tex]f(x) = \sqrt{\frac{16}{16}(\frac{1}{16}e^{-2x} + \frac 12 + e^{2x})}[/tex]
So, we have:
[tex]f(x) = \sqrt{\frac{1}{16}(e^{-2x} + 8 + 16e^{2x})}[/tex]
Take the square root of 1/16
[tex]f(x) = \frac{1}{4}\sqrt{e^{-2x} + 8 + 16e^{2x}}[/tex]
Express the radical as a perfect square
[tex]f(x) = \frac{1}{4}\sqrt{(e^{-x} + 4e^{x})^2}[/tex]
Evaluate the exponents
[tex]f(x) = \frac{1}{4} * (e^{-x} + 4e^{x})[/tex]
Evaluate the products
[tex]f(x) = \frac{1}{4}e^{-x} + e^{x}[/tex]
Hence, it has been proved that the arc length on any interval has the same value as the area under the curve.
Read more about areas at:
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please help with this problem
Answers
Answer:
choice 1) 0, -4/5
Step-by-step explanation:
1/(t² + t) = 1/t - 5
multiply both sides of the equation by (t² + t):
1 = (t² + t)/t - 5t² - 5t
1 = t + 1 - 5t² -5t
-5t² - 4t = 0
t(-5t - 4) = 0
t = 0
-5t = 4
divide both sides by -5:
t = -4/5
Stephanie earns $750 a month. she gives
30% of the money to charity. How much money
does Stephanie give charity?
Answers
Answer:
she gives 225
Step-by-step explanation:
750×30% equals to 225
Answer:
Stephanie gives $225 to charity a month
Step-by-step explanation:
$750 / 100 = 7.5
7.5 x 30 = 225
7.5 x 70 = 525
700 - 525 = 225
It cost Andrew $21 to buy 7 binders. At this price, how much would it cost him to buy 4 binders?
Answers
4*$3=$12, gives the price of 4
It’s in the picture ☝.
Answers
Answer:
120
Step-by-step explanation:
The whiskers you see on the sides, are known as the minimum(Left) and the maximum (right).
Question 11. What is the product of 1.6 x 10- and 3.2 x 10' A. 5.12 x 10-4 B. 5.12 x 10 C.5.12 x 10 D. 5.12 x 104 please help will mark as brallinat
Answers
Answer:
A- [tex]5.12*10^{-4}[/tex]
Step-by-step explanation:
1.6* 3.2
add the exponents so 10 to the -4
Which fractions 1/3, 5/6, 3/4, 3/8 are closer to 0 than to 1?
Answers
Answer:
1/3, 3/8 are closer to 0
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
dont know i just remeberd
Zane asks 50 random people in a town of 1,500 whether or not they are registered to vote. 44 out of the 50 are registered. Based on this data how
many people in the town are likely registered to vote?
Answers
Answer:
1320
Step-by-step explanation:
i am
4) You randomly select one card from a 52-card deck. Find the probability of selecting the 6 of hearts or the ace of diamonds.
Answers
Answer:
1/26
Step-by-step explanation:
There is only one 6 of hearts and only one ace of diamonds.
The probability of selecting the 6 of hearts is thus 1/52, and that of selecting the ace of diamonds is also 1/52.
The probability of selecting the 6 of hearts or the ace of diamonds is the SUM of these two results: 1/52 + 1/52 = 2/52 = 1/26.
I hope this can help you!!!
What is the slope of the line?
Answers
Answer:
1
Step-by-step explanation: