Answer:
Y=0.5X+5
Step-by-step explanation:
Hope this helps ;)
17. An ice cream shop sells cones that contain an average of 550 cm' of ice cream. Approximately how many cones can be made from one tub of ice cream? Vanilla Ice Cream 30 cm, 25cm, pie is 3.14
SOLUTION
Given:
\(\begin{gathered} \text{Vol}ume\text{ of ice cream=550}cm^3 \\ \end{gathered}\)From the image we have
\(\begin{gathered} \text{Radius of tube=25}cm \\ \text{height of tube=30cm} \end{gathered}\)Then, we need to obtain the volume of the tube.
Since the tube is a cylinder, we use the volume of the cylinder
\(\text{Volume}=\pi r^2h\)The Volume of tube becomes
\(\begin{gathered} =3.14\times25^2\times30 \\ =3.14\times625\times30 \\ =58875cm^3 \end{gathered}\)Hence, the number of cones formed will be obtained by uisng
\(\begin{gathered} \text{Number of cones=}\frac{\text{volume of tubes }}{volume\text{ of ice cream}} \\ \text{Where } \\ \text{volume of tubes}=58875cm^3 \\ volume\text{ of ice cream}=550cm^3 \end{gathered}\)Substituting, we have
\(\text{Number of cones}=\frac{58875}{550}=107.05\)Hence
The number of cones formed will be 107
Which step? I’m sort of confused
The answer is C) Step 3
Li forgot to multiply the two negatives in order to get positive 3/10. The answer should not be negative.
The right steps are:
-4/5 / 8/-3
Flip the second part to multiply:
-4/5 * -3/8
Multiply:
12/40
Simplify:
3/10
I hope this helps!
NEED HELP IM GIVIN BRAINLIEST
Jackson spent 2 of his total money on an antique game. He has $12.50 left. 3
If there was no tax added to the cost, how much did Jackson spend on the
antique game? (Keep in mind that he has 1 of his money left)
Answer:
$37.50
Step-by-step explanation:
1 money = 12.50
Before spending anything he had 2 money more than this (3 overall)
Therefore we are multiplying-
12.50 x 3 = 37.50
The answer is $37.50
Can anybody help me with this this is all I need for today and it is for a grade.
Answer:
game c
Step-by-step explanation:
because the slope went up more on level 2 during game c then any other game
If MNPQ ≅ XYZW , find the scale factor of M N P Q to X Y Z W and the perimeter of each polygon.
The scale factor and the perimeters are = 1/2 and 34 and 17 units.
Given that are two polygons are similar MNPQ ~ XYZW, we need to find the scale factor and the perimeter of each polygon.
Scale factor = ratio of the lengths of the sides of the similar polygons.
Scale factor = MQ / WX = 8/4 = 2
Now,
The perimeter of the polygon XYZW = 10 + 9 + 8 + 7 = 34 units.
We know that the ratio of the perimeters of the similar polygons is equal to the scale factor,
So,
The perimeter of the polygon MNPQ = 34 / 2 = 17 units.
Hence the scale factor and the perimeters are = 1/2 and 34 and 17 units.
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What is the equation of the line that passes through the point (-3, 7) and has a
slope of 1/3?
Answer:
y=\(\frac{1}{3}\)x+8
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST (last answer is 8)
Answer:
question 8 = 6cm
Step-by-step explanation:
\(formula (perimeter)= \\ sum \: of \: all \: sides \\ \\ 3x + 3x + x + x = 48 \\ 3(6) + 3(6) + 6 + 6 = 48 \\ 18 + 18 + 6 + 6 = 48\)
Aaron had $22 to spend on 4 beakers for his science class. After buying them, Aaron had $2 left. How much did each of the beakers cost?
Answer:4
Step-by-step explanation:22-4=18-4=14-4=10-4=6=2
Jason has 75 feet of wallpaper border. He wants to put up a wallpaper border around his rectangular bedroom that measures 12 feet by 14 feet. He multiplies 12 x 14 = 168 to get an exact answer of how much border he needs. He concludes that he does not have enough border for the whole job.
7) Tell how you can critique Jason’s reasoning.
8) Critique Jason’s reasoning.
9) Jason uses an overestimate to decide how many rolls of wallpaper he needs for another room. Explain why his reasoning to use an overestimate does or does not make sense.
9514 1404 393
Answer:
7) compare what Jason needed to do with what he did
8) Jason used an incorrect formula to estimate his need
9) an overestimate ensures Jason can finish the job
Step-by-step explanation:
7) A critique is a comparison of what you have with what you expect. We can critique Jason's reasoning by comparing what he did with what we expected him to do. (We don't actually know his reasoning; we only know his action.)
__
8) Jason multiplied the dimensions of his room, an action appropriate to finding its area. We expected that Jason would use a formula for the perimeter of the room. We conclude that Jason chose the wrong formula for computing the length of border needed. We also note that Jason did not make any use of dimensional analysis. Had he done so, he would have known that his result was in square feet, not linear feet, so was not applicable to the question of whether he had enough border.
__
9) If Jason's goal is to finish his wallpaper job without making another trip to the store, he would want to make sure that he does not run short of wallpaper before the task is done. To ensure that he has enough, it makes sense that he would make an estimate that would give him more than enough.
how to put 15/22 in simplest form
Answer:
it’s already in it’s simplest form
multiply (3y^3+5y^2-4y) (2y^2-6y-7) help me solve this with the steps please
Answer:
as following
Step-by-step explanation:
\((3y^3+5y^2-4y) (2y^2-6y-7) \\=y(3y^2+5y-4)(2y^2-6y-7)\\=y(6y^4-16y^3-21y^2+10y^3-30y^2-35y-8y^2+24y+28)\\=y(6y^4-6y^3-59y^2-11y+28)\\=6y^5-6y^4-59y^3-11y^2+28y\)
It is assumed that the average Triglycerides levet in a healthy person is 130 unit. In a sample of 30 patients, the sample mean of Triglycerides level is 122 and the sample standard deviation is 20. Calculate the test statistic value
The test statistic value for this situation is approximately -2.474.
A hypothesis test comparing the sample mean to the assumed population mean is necessary in order to determine the value of the test statistic. The population mean triglycerides level would be the null hypothesis (H0), and the alternative hypothesis (Ha) would be that the population mean is not 130 units.
The t-statistic, which is calculated as follows, is the test statistic utilized in this circumstance:
t = (test mean - expected populace mean)/(test standard deviation/sqrt(sample size))
Given the data gave, we have:
Expected populace mean (μ): 130 Mean of the sample (x): 122
Test standard deviation (s): 20 (n) sample sizes: 30
Connecting the qualities into the recipe, we can work out the test measurement:
t = (122 - 130) / (20 / sqrt(30)) t = -8 / (20 / sqrt(30)) After calculating this expression, we come to the following conclusion:
t ≈ - 2.474
Hence, the test measurement an incentive for this present circumstance is roughly - 2.474.
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A binomial experiment with probability of success p=0.63 and n=11 trials is conducted. What is the probability that the experiment results in 10 or more successes? Do not round your intermediate computations, and round your answer to three decimal places (if necessary consulta list of formes.)
To find the probability of getting 10 or more successes in a binomial experiment with p = 0.63 and n = 11 trials, we can use the cumulative probability function.
P(X ≥ 10) = 1 - P(X < 10)
Using a binomial probability formula, we can calculate the probability of getting exactly k successes:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where C(n, k) represents the binomial coefficient.
Let's calculate the probability for each value from 0 to 9 and subtract it from 1 to get the probability of 10 or more successes:
P(X < 10) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 9)
P(X < 10) = Σ[C(11, k) * p^k * (1 - p)^(11 - k)] for k = 0 to 9
Using this formula, we can calculate the probability:
P(X < 10) ≈ 0.121
Therefore, the probability of getting 10 or more successes in the binomial experiment is:
P(X ≥ 10) ≈ 1 - P(X < 10) ≈ 1 - 0.121 ≈ 0.879
Rounding to three decimal places, the probability is approximately 0.879.
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I need help on this assignment
Given function f(x) = x^3 + 2x, find value of x = c that satisfies Mean-Value Theorem on the interval [- 1,1].
Answer:
The solution is:
\(\begin{equation*} x=\pm\frac{\sqrt{3}}{3} \end{equation*}\)Step-by-step explanation:
First, we'll calculate the function's average rate of change over [-1,1] as following:
\(\begin{gathered} \frac{f(-1)-f(1)}{-1-1}=-\frac{f(-1)-f(1)}{2}=-\frac{-3-3}{2}=\frac{6}{2}=3 \\ \end{gathered}\)Now, we make f'(x) = 3 and solve for x, as following:
\(\begin{gathered} f^{\prime}(x)=3x{}^2+2=3 \\ \\ \rightarrow3x^2=1\rightarrow x^2=\frac{1}{3}\rightarrow x=\pm\frac{1}{\sqrt{3}} \\ \\ \Rightarrow x=\pm\frac{\sqrt{3}}{3} \\ \end{gathered}\)Therefore, we can conlcude that the solution is:
\(\begin{equation*} x=\pm\frac{\sqrt{3}}{3} \end{equation*}\)the radius of a circle is increasing at a rate of 7 centimeters per minute. find the rate of change of the area when the radius is 4 centimeters.
By applying rate of change concept it can be concluded that the area will change at a rate of 176 cm² / minute.
Rate of change is the change in values of a dependent variable concerning the independent variables.
The rate of change of a function shows how the function is changing from one x value to another. Whilst, differentiation is when you have an instantaneous rate of change at a single point.
We have the following information:
The rate of change of a circle = 7 cm/minute = dr/dt
We have to find the rate of change of the circle when r = 4 cm
To do so, we will use the derivative of the circle area:
A = πr²
dA/dr = 2πr
dA/dt = dA/dr × dr/dt
= 2πr × 7
= 14πr
Now we input r = 4 cm into this equation:
rate of change of the area = 14*22/7*4
= 176 cm² / minute
Thus, when r = 4 cm, the area will change at a rate of 176 cm² / minute.
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Given the formula for an exponential function, is it possible to determine whether the function grows or decays exponentially just by looking at the formula?
yes, actually it is possible. The mathematical expression f(x)=exp or ex denotes the exponential function.
What is meant exponential function?The mathematical expression f(x)=exp or ex denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras. When the input variable x appears as an exponent in the formula f(x) = axe, an exponential function is indicated. The exponential curve is influenced by both the exponential function and the value of x.
One of the key mathematical operations is the exponential function (though it would have to admit that the linear function ranks even higher in importance). We allow the exponent to be the independent variable to create an exponential function. The formula f(x)=2x is a straightforward example.
Hence, yes, actually it is possible.
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Write 12x – 3y= –24 in slope-intercept form.
Answer: y=4x+8
Step-by-step explanation:
The slope-intercept form of the line is y=4x+8.
What is the slope-intercept form of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
The given equation is 12x – 3y= –24. The slope-intercept form of the equation will be written as,
12x – 3y= –24
3y = 12x + 24
y = 4x + 8
Therefore, the slope-intercept form of the line is y=4x+8.
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Question State the interval(s) over which the function f(x) = -3x^2 + 2x + 3 is continuous. (Enter your answer using interval notation.) Provide your answer below:
The given function is f(x) = -3x^2 + 2x + 3.
The interval(s) over which the function f(x) = -3x^2 + 2x + 3 is continuous is: x ∈ (-∞, ∞)
Steps to find the interval notation of continuous function:
For a given function, check if it has any discontinuities such as a vertical asymptote, a jump discontinuity, or a removable discontinuity.
If the function does not have any such discontinuities, then the function is continuous for all real values of x.
Write the answer using interval notation.
The given function is a polynomial function and does not have any vertical asymptotes, jump discontinuities, or removable discontinuities. Therefore, the function is continuous for all real values of x, and the interval notation for the continuous function is x ∈ (-∞, ∞).
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Greg earned $32 dollars for washing cars this month. He earned twice as much for washing cars than he did for mowing lawns. Write an equation to determine how much he earned for mowing lawns.
2m = 32
m + 2 = 32
m − 2 = 32
m over 2 equals 32
Answer: the correct answer is 2m = 32
Step-by-step explanation: If Greg earned $32 for washing cars and that was twice as much for mowing lawns, then you will need to divide that amount by 2 to find out what was made.
2m = 32
Divide each side by 2:
2m/2 = 32/2
m = 16
The amount for mowing lawns = $16
Answer:
Determine which equation is false, based on the solution set S:{4}.
3t = 12
3m + 7 = 14
4(4c + 1) = 68
9 = 5p − 11
Step-by-step explanation:
A group of boys went on a camping trip. They spent the night in 5 tents and 4 cabins. There were 9 boys in each tent and 7 boys in each cabin. How many boys went on the trip?
Answer:
Step-by-step explanation:
In a tent, there are nine boys.
There were five tents.
5 tents containing 9 boys can equal 45 boys.
(5 x 9 = 45)
In a cabin, there are seven boys.
There were four cabins.
4 cabins containing 7 boys can equal 28 boys.
(4 x 7 = 28)
Now, to find all the boys, add the numbers together.
28 boys with 45 boys will equal 73 boys.
Please check my answer for no one, not even me is right.
Good luck :)
pleaassee help me i'll mark u if u give me the right answersss
Step-by-step explanation:
1.
A.Company T
B.Company A
C.At 20 minutes
2.
A.Tells you the rate of calling minutes
B.Its free.
C. Company K as it's free for the first five minutes.
Find the flux of f across the surface s, where s is the part of the plane z=1 x y (oriented upward) inside the cylinder x2 y2=1, and f=j. group of answer choices 0
The flux of f across the surface s is 0.
To find the flux of f across the surface s, we can use the formula for flux:
flux = ∬(f · dS)
where f is the vector field, dS is the differential surface area vector, and the double integral is taken over the surface s.
In this case, f = j, which means the vector field is constant in the z-direction with a magnitude of 1. Therefore, the flux simplifies to:
flux = ∬(j · dS)
Now, let's calculate the flux step-by-step:
1. First, we need to parametrize the surface s. Since s is the part of the plane z=1 x y inside the cylinder x^2 + y^2 = 1, we can parametrize it as:
r(u, v) = (u, v, 1), where -1 ≤ u, v ≤ 1
2. Next, we need to find the differential surface area vector dS. Since s is a plane, the differential surface area vector is simply the cross product of the partial derivatives of r with respect to u and v:
dS = (∂r/∂u) × (∂r/∂v)
Calculating the cross product, we get:
dS = (1, 0, 0) × (0, 1, 0) = (0, 0, 1)
3. Now, let's evaluate the double integral ∬(j · dS) over the surface s. Since the magnitude of j is 1 and the dot product of j and dS is always 0, the flux is always 0.
Therefore, Flux of f across the surface s is 0.
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A trailer is 160 inches. A driveway is 60% longer than the car. How long is the driveway?!?
Answer:
266.666667
Step-by-step explanation:
I didn't understand this
Obtain the General Solution of the following differential equations. 1. \( x^{2} y y^{\prime}=e^{y} \) 2. \( (x y+x) d x=\left(x^{2} y^{2}+x^{2}+y^{2}+1\right) d y \)
1) The general solution to the differential equation is y = K\(e^{-1 / x\)
2) The general solution is (1/2)\(x^2\)y - (1/3)\(x^2\)\(y^3\) = (1/3)\(x^3\) + (1/3)\(y^3\) + y + C.
1) To obtain the general solution of the differential equation \(x^2\)yy' = \(e^y\), we can use separation of variables.
Start by rearranging the equation:
yy' = \(e^y\)/ \(x^2\)
Next, separate the variables:
(1 / y) dy = (\(e^y\) / \(x^2\)) dx
Now, integrate both sides:
∫(1 / y) dy = ∫(\(e^y\) / \(x^2\)) dx
The integral on the left side can be evaluated as ln|y|, and the integral on the right side can be evaluated using the substitution u = \(e^y\):
ln|y| = ∫(1 / \(x^2\)) du
ln|y| = -1 / x + C
Where C is the constant of integration.
Finally, exponentiate both sides to solve for y:
|y| = \(e^{-1 / x + C\)
|y| = \(e^C\) / \(e^{1 / x\)
|y| = K\(e^{-1 / x\)
Where K = ±\(e^C\) is the constant of integration.
Therefore, the general solution to the differential equation is:
y = K\(e^{-1 / x\)
2) To obtain the general solution of the differential equation (xy + x)dx = (\(x^2y^2\) + \(x^2\) + \(y^2\) + 1)dy, we'll again use separation of variables.
Start by rearranging the equation:
(xy + x)dx - (\(x^2y^2\) + \(x^2\) + \(y^2\) + 1)dy = 0
Next, separate the variables:
(xy + x)dx = (\(x^2y^2\) + \(x^2\) + \(y^2\) + 1)dy
Now, integrate both sides:
∫(xy + x)dx = ∫(\(x^2y^2\) +\(x^2\) + \(y^2\) + 1)dy
Integrating each term separately:
∫xy dx + ∫x dx = ∫\(x^2y^2\) dy + ∫\(x^2\) dy + ∫\(y^2\) dy + ∫1 dy
Integrating, we get:
(1/2)\(x^2\)y + (1/2)\(x^2\) = (1/3)\(x^2y^3\) + (1/3)\(x^3\) + (1/3)\(y^3\) + y + C
Where C is the constant of integration.
Simplifying and rearranging, we obtain the general solution:
(1/2)\(x^2\)y - (1/3)\(x^2\)\(y^3\) = (1/3)\(x^3\) + (1/3)\(y^3\) + y + C
This is the general solution to the given differential equation.
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Help me please ❤️.
❤️
Answer:
LON < 135 degrees
Step-by-step explanation:
The lines represent that those sides are equal
That means that LI and IO are = in length
If a triangle is 180 degrees and we have 90 degrees already
180 - 90 = 90
Therefore if we divide Evenly --> 90/2 = 45 degrees
So LON < 135 degrees
Because a straight line is 180 degrees
180 - 45 = 135 degrees
sophia can walk 1.4 miles in 15 minutes. At this rate how far can she walk in an hour
My answer is 5.6.
you have to divide 1.4/15. Once you’ve done that step. Your answer is going to be multiplied resulting to 5.6. I hope this helps!
…….HELPPPPP !!!!!!!!!!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
this is because the output is x times 4 - 1
c is correct because y would be for input 5 = 39 output and if the output is y then (y + 1) = 4x
Describe two reasons to use the Internet responsibly Explain what might happen if the Internet use policies were broken at your school
Answer:
1- Using the internet responsibly can help you prepare for the future, when you are in college and are working hard to save money. 2-Internet usage abilities are granted to you to help you learn easier, do not abuse those privileges or they can and will be taken away.
If in my school the internet use policies were broken, any kid can access restricted sites and potentially can get an undesired virus or malware. ... It would be dangerous to give away any personal information on the internet because someone could attempt to find you, your family, your friends, your co-workers, etc.
Step-by-step explanation: