Answer:
B. (5, ∞)
Step-by-step explanation:
The correct answer choice is marked.
__
The absolute value function increases to the right of its vertex. Here, the vertex has been moved to (x, y) = (5, 2). This means the function is increasing for 5 < x.
In interval notation, the domain of increase is (5, ∞).
Tiyana is saving for a vacation. She wants to have at least $75 for each of the 12 days of her trip. If she saves $ 85 each month for 10 months, will she save enough money?
Use mental math to find the total amount she will save. Then write a division equation to see if she will save enough.
Kevin says he can solve this problem a different way. He says that he can compare 85 x 10 and 75 x 12. Do you agree? Explain your thinking.
Answer:
yes I agree with kevin's thinking because she needs 75 for each of the 12 days so its 12*75 and compare with how she earns 85 dollars each month for ten months which is 85 *10
Step-by-step explanation:
Answer:
Yes, I agree.
Step-by-step explanation:
She needs 75 for each of the 12 days so do the math 12x75. Because she earns 85 dollars each month for ten months, you do 85x10.
The factorization of a (x + y + z) + b(x + y + z) + c(x + y + z) is
pls answer maheshsinghmeenu sister
Answer:
(a+b+c) (x+y+z)
Step-by-step explanation:
hope this helps to uh
Step-by-step explanation:
x+y+z+bx+by+bz+cx+cy+cz
Take Like terms
x+bx+cx+y+by+cy+z+bz+cz
x(b+c)+y(b+c)+z(b+c)
(x+y+z)(b+c)
hope it helps
How do I solve this?
a) Recall the integration by parts formula:
\(\displaystyle \int u \, dw = uw - \int w \, du\)
Then with \(u = x\) and \(dw = e^x\,dx\) we have
\(\displaystyle v = \int e^x x \, dx = xe^x - \int e^x \, dx\)
\(\implies \boxed{v = xe^x - e^x + C}\)
since \(w=\int e^x\,dx=e^x\) and \(du=dx\). (C is of course an arbitrary constant that can be determined exactly if you know the velocity at some given value of x.)
b) No?
\(\displaystyle \int e^xx\,dx = \int xe^x\,dx\)
because multiplication is commutative. I get the feeling I'm missing something here...
what is the difference between a circle and an ellipse
Help Wanted! ♀️ Solve for X, Leave answer in simplest radical form. (Multistep Pythagorean Theorem)
Answer:
x = √39
Step-by-step explanation:
both triangles have one same side, which can be called y
so y^2 = 10^2 - 6^2
and y^2 = x^2 + 5^2
then x^2 + 5^2 = 10^2 - 6^2
x^2 = 100 - 36 - 25 = 39
x = √39
Which degree measurement is equivalent to
7pie/6 radians?
Which angles are supplementary to∠4? Select all that apply.
9514 1404 393
Answer:
B, D, E
Step-by-step explanation:
All of the acute angles are congruent to each other. All of the obtuse angles are supplementary to them and are also congruent to each other. Angles 2, 3, 6, 7 are supplementary to angle 4. The ones on the list of choices are ...
∠2, ∠6, ∠7
Christopher needs to order some new supplies for the restaurant where he works. The restaurant needs at least 775 spoons. There are currently 355 spoons. If each set on sale contains 10 spoons, write and solve an inequality which can be used to determine
�
s, the number of sets of spoons Christopher could buy for the restaurant to have enough spoons.
According to the inequality, Christopher would need to purchase 35 + 10s 75 sets of spoons to ensure that the restaurant has enough of them.
Why does inequality matter?According to analysts, inequality promotes political dysfunction and slows down economic progress. Because wealthy households typically spend a smaller proportion of what they earn than do poorer households, concentrated earnings lower the amount of demand for goods and services. The economy may suffer if low-income families have fewer possibilities.
There are already 355 spoons available, but the eatery needs at least 75. Each set that is for sale includes 10 spoons.
Let s be the representation of each set. It will be demonstrated by:
35 + (10 × s) ≥ 75
35 + 10s ≥ 75
Collect like terms
10s ≥ 75 - 30
10s ≥ 45
Divide
s ≥ 45/10
s ≥ 4.5
The restaurant must have at least 5 sets.
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Answer: 10s + 355 >=755
s>=42
Step-by-step explanation:
(Chapter 14) fy(a,b) = limit as y approches b f(a,y)- f(a, b)/(y-b)
In summary, fy(a,b) is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.
The given expression represents the partial derivative of f(x, y) with respect to y, evaluated at (a, b):
fy(a,b) = lim┬(y→b)〖[f(a,y) - f(a,b)]/(y - b)〗
Geometrically, this partial derivative represents the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.
To see why this is the case, consider the following argument:
Let L be the limit in the expression given above.
Let h = y - b be the change in the y-coordinate from b to y.
Then, we can rewrite the limit as:
fy(a,b) = lim┬(h→0)〖[f(a,b + h) - f(a,b)]/h〗
This expression represents the average rate of change of f(x, y) with respect to y over the interval [b, b + h].
As h approaches 0, this average rate of change approaches the instantaneous rate of change, which is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.
Therefore, fy(a,b) is the partial derivative of f(x, y) with respect to y, evaluated at (a, b).
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Tanya is training a turtle for a turtle race.For every 1/3 of an hour that the turtle is crawling,he can travel 2/25 of a mile.At what unit rate is the turtle crawling?
The unit rate at which the turtle is crawling is 6/25 mile per hour
At what unit rate is the turtle crawling?From the question, we have the following parameters that can be used in our computation:
For every 1/3 of an hourHe can travel 2/25 of a mileThs unit rate is then calculated as
Unit rate = distance/time
Substitute the known values in the above equation, so, we have the following representation
Unit rate = (2/25)/(1/3)
Evaluate
Unit rate = 6/25
Hence, the unit rate is 6/25 mile per hour
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Steven made punch by mixing 2.8 liters of orange juice, 0.75 liters of pineapple juice, and 1.2 liters of sparkling water. How many liters of punch did Steven make?
Answer:
4.75 liters of punch
Step-by-step explanation:
2.8 + 0.75 = 3.55
3.55 + 1.2 = 4.75 liters of punch
‼️‼️‼️‼️can someone pls explain and what’s the answer? pls:)‼️‼️‼️‼️‼️‼️
Answer:
4. B
(I'm not positive on what the answer to 5 is, so I won't guess bc I don't want u to get it wrong.)
Step-by-step explanation:
I know that the answer for 4 is B and I'll tell u why. B reads y = 1.5x
This means that when u multiply any number in the row marked "x" by 1.5 it should get the number that's right below it (in the "y" row).
This may sound confusing so let's add some context to it. When we chose the number 20 in the "x" row and multiply it by 1.5 the number we should get has to be 30 bc it's right below 20. In this case it IS so it is a true statement. Make sure to check the statement using different numbers from the row marked "x". (I already checked for u, but it's still a good tip to have )
HOWEVER, when we do a statement that does not correspond to the table
it will not give u a number that's below the row "x". If we use statement A, x = 1.5y that would mean that every number in row "y" should be the number on top of it (row "x") when multiplied by 1.5. This is a false statement bc 60 × 1.5 does not equal 40. If we keep trying with this statement, we will see that it's false. THE EQUATION THAT REPRESENTS THE DATA IN THE TABLE IS B.
Find the answer to the following subtraction problem by using the Left to Right Algorithm. Do the work on paper then upload a picture. Make sure your drawing is clear. 3131 - 1641
I can explain how to solve the subtraction problem using the Left to Right Algorithm:
To perform the Left to Right Algorithm, we start from the leftmost digit of the numbers and subtract each corresponding digit until we reach the end of the numbers. If the digit being subtracted from is smaller than the digit being subtracted, we borrow from the next digit to the left.
Using this algorithm, we can solve the problem as follows:
3 1 3 1
- 1 6 4 1
---------
2 1 6 0
Therefore, 3131 - 1641 = 2160.
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how many seconds would it take an echo sounder's ping to make the trip from a ship to the challenger deep (10,994 meters) and back? recall that depth
It would take an echo sounder's ping 88 seconds to make the trip from a ship to the Challenger Deep (10,994 meters) and back. The speed of sound in seawater is 1,500 meters per second, which is used to calculate the round-trip time of the ping.
Given, The depth of Challenger Deep, d = 10,994 meters.
The speed of sound in seawater = 1500 meters per second. Assuming the sound moves at a constant speed, we can calculate the time it takes for a sound to travel 1 meter as follows:
t = d/s, where t = time taken to travel 1 meter, d = distance traveled by sound (in meters), s = speed of sound in seawater (in meters/second)
Substituting the values, we get
t = 10,994/1500 = 7.33 seconds
To find the round-trip time of the ping, we need to double this time, so the total time taken by the ping is 2 × 7.33 = 14.66 seconds. However, the ping travels from the ship to the Challenger Deep and then back to the ship. So, we need to double the time taken by the ping again to account for the return trip. Therefore, the round-trip time of the ping is
=2 × 14.66 = 29.32 seconds. Finally, converting the time into seconds, we get 88 seconds.
Hence, it would take an echo sounder's ping 88 seconds to make the trip from a ship to the Challenger Deep (10,994 meters) and back.
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10. Set up and evaluate the definite integral for the area of the surface generated by revolving the curve a) (3 pts.)y= 6x 3+ 2x1 ,1≤x≤2, about the x-axis; b) (3 pts.) x= 4y−1,1≤y≤4, about the y-axis.
The definite integral for the area of the surface generated by revolving the curve y = 6x^3 + 2x about the x-axis, over the interval 1 ≤ x ≤ 2, can be set up and evaluated as follows:
∫[1 to 2] 2πy √(1 + (dy/dx)^2) dx
To calculate dy/dx, we differentiate the given equation:
dy/dx = 18x^2 + 2
Substituting this back into the integral, we have:
∫[1 to 2] 2π(6x^3 + 2x) √(1 + (18x^2 + 2)^2) dx
Evaluating this definite integral will provide the surface area generated by revolving the curve about the x-axis.
b) The definite integral for the area of the surface generated by revolving the curve x = 4y - 1 about the y-axis, over the interval 1 ≤ y ≤ 4, can be set up and evaluated as follows:
∫[1 to 4] 2πx √(1 + (dx/dy)^2) dy
To calculate dx/dy, we differentiate the given equation:
dx/dy = 4
Substituting this back into the integral, we have:
∫[1 to 4] 2π(4y - 1) √(1 + 4^2) dy
Evaluating this definite integral will provide the surface area generated by revolving the curve about the y-axis.
By setting up and evaluating the definite integrals for the given curves, we can find the surface areas generated by revolving them about the respective axes. The integration process involves finding the appropriate differentials and applying the fundamental principles of calculus.
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Solve and simplify.
-2 4/5 + (-2/5)=
Answer:
-2 4/5 + (-2/5)=5.2
Step-by-step explanation:
A soccer team is having a car wash. The team spent $50 on supplies. They earned $300, including tips. The team's profit is the amount the team made after paying for supplies. Use a sum of integers to find the team's profit. The team's profit was $
Answer:the answer is $ f(x) = 3x + 50
f(22) = 3(22) + 50
f(22) = 66 + 50
f(22) = 116
So, he will make $116.
As an ordered pair, the solution is (22, 116).Step-by-step explanation:
Profit =Money left after supplies
\(\\ \sf\longmapsto Profit=300-50\)
\(\\ \sf\longmapsto Profit=\$250\)
the series meets the conditions to use the ratio test, and . what is the most specific conclusion that may be drawn?
The most specific conclusion that can be drawn from the given series is that it is convergent.
The Ratio Test is a common way of determining the convergence or divergence of an infinite series. It states that if the ratio of successive terms of a series converges to a limit less than one in absolute value, then the series is convergent.
In the case of the given series, it meets the conditions to use the ratio test, which means that the most specific conclusion that can be drawn is that the series is convergent. To explain this further, we need to examine what is meant by the condition that the series meets the ratio test.
First, we need to understand the definition of an infinite series. An infinite series is an expression of the form ∑an, where an is a sequence of numbers that has no upper bound. The limit of the sequence, as n tends to infinity, is referred to as the sum of the series. The ratio test states that the ratio of successive terms of a series converges to a limit less than one in absolute value.
In other words, if the ratio of successive terms of a series approaches zero as n tends to infinity, then the series is said to be convergent. This means that the most specific conclusion that can be drawn from the given series is that it is convergent. This is because the ratio of successive terms of the series converges to a limit less than one in absolute value, as required by the ratio test.
In conclusion, the most specific conclusion that can be drawn from the given series is that it is convergent. This is due to the fact that the ratio of successive terms of the series converges to a limit less than one in absolute value, which is the condition required by the ratio test for a series to be convergent.
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2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
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To get the total number of iterations in a nested loop, add the number of iterations in the inner loop to the number of iterations in the outer loop.
True
False
It is False that by adding the number of inner loops , we get the total number of iterations.
A loop is defined as a segment of code that executes multiple times. Iteration refers to the process in which the code segment is executed once. One iteration refers to 1-time execution of a loop. A loop can undergo many iterations.
There are 3 types of iteration: tail-recursion, while loops, and for loops. We will use the task of reversing a list as an example to illustrate how different forms of iteration are related to each other and to recursion. A recursive implementation of reverse is given below.
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a bee humming bird has a mass of 1.8 grams. How many grams are 6 hummingbirds and a 4 gram nest?
Answer:
14.8g
Step-by-step explanation:
1.8 x 6 + 4
Answer:
14.8 grams
Step-by-step explanation:`
Multiply 1.8 by 6 ( = 10.8 ), then just add the amount ( 4 grams ) to 10.8. Which gives you 14.8 grams in total for the bee humming bird and the nest.
Note:
Hope this helps! Good luck. :)
3x
2x
x + 30
The diagram shows a triangle.
The sizes of the angles, in degrees, are
3x
2x
x + 30
Work out the value of x
Answer:
x = 25°
Step-by-step explanation:
3x + 2x + x + 30° = 180°
6x + 30° = 180°
6x = 150°
x =25°
=> 3x = 25 * 3 = 75°
=> 2x = 25 * 2 = 50°
=> x + 30° = 25° + 30° = 55°
PLZ HELP I HAVE BEEN STUCK ON THIS FOREVER
Answer:
see attached
Step-by-step explanation:
Your calculator will tell you that √19 ≈ 4.36. The marks on the given number line are spaced by 1/3 unit, so the mark immediately to the right of 4 will be 4 1/3, approximately 4.33. You need to place your "click" very slightly to the right of the mark at 4 1/3.
__
As a first approximation, a square root can be estimated by the number's difference from the nearest (lower) square.
We know that 19 = 16 +3 = 4² +3. The root can be estimated to be ...
\(4+\dfrac{3}{2\cdot4+1}=4\dfrac{3}{9}=4\dfrac{1}{3}\)
Using this approximation, the estimated root would be on the first mark to the right of 4 on your number line.
__
The second attachment shows a number line with the point plotted by a graphing calculator.
_____
Additional comment
The above square root estimate is based on a linear interpolation between the roots of 16 = 4² and 25 = 5². That is usually described as ...
√n ≈ 4 +(n -16)/(25 -16) . . . . for 16 ≤ n < 25
The denominator difference (25 -16) is 9, which is 1 more than double the integer part of the root (=2·4 +1). This will always be the case for this sort of interpolation.
A right prism has a base in the shape of an octagon. The side length of the octagon is 4 inches. The length of the apothem is 4.83 inches. The height of the prism is 12 inches. What is the volume of the prism? Round your answer to the nearest whole number. cubic inches
Answer:
927 cubic inches
Step-by-step explanation:
The area of the octagonal base is ...
A = (1/2)Pa
where P is the perimeter, and 'a' is the apothem. Using the given numbers, the base area is ...
A = (1/2)(8·4)(4.83) = 77.28 . . . square inches
The volume of the prism is given by ...
V = Bh
where B represents the area of the base, and h is the height.
V = (77.28 in^2)(12 in) = 927.36 in^3
The volume of the prism is about 927 cubic inches.
the answer on edg is 927
B? Submit your answer as a percentage and round to two decimal places (Ex. 0.00hi) ation of 22%. If the correlation befween A and B is 0.93, what lis the expected roturn for a portsolio comprised of 60 percent Asset A and 40 percent Asset
In this case, Asset A has a return of 16% and represents 60% of the portfolio, while Asset B has a return of 22% and represents 40% of the portfolio. The correlation between Asset A and B is given as 0.93.
To calculate the expected return of the portfolio, we use the following formula:
Expected Return = (Weight of Asset A * Return of Asset A) + (Weight of Asset B * Return of Asset B) + (2 * Weight of Asset A * Weight of Asset B * Correlation between A and B * Standard Deviation of Asset A * Standard Deviation of Asset B)The expected return for a portfolio composed of two assets, A and B, can be calculated using the weighted average of the individual asset returns, considering their respective weights in the portfolio.
By plug in the given values and performing the calculations, we can determine the expected return for the portfolio comprised of 60% Asset A and 40% Asset B.
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what is the meaning of interval [a,b]
Answer:
Step-by-step explanation:
interval in mathematics stands for a set of real numbers,
denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.
thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.
In a greenhouse, basil is grown in planters that have a base of 5 1/2 in by 1 2/3 in. If there is a 3 x 3 array of these planters with no space between them, what is the area covered by the planters?
Answer: 82.5 inches
Step-by-step explanation: We know that each plantar has a base of 5.5 by 1 2/3. So if we multiply 5.5 by 1 2/3 we can get 9.166666667. However, there is 9 planters because 3 times 3 is 9. So if we multiply 9.166666667 by 9 we will get 82.5 inches
Solve the system of linear equations
{x + y + 2z - w = -2 {3y + z + 2w = = 2 {x + y + 3w = 2 {-3x + z + 2w = 5
The given system of linear equations consists of four equations with four variables: x, y, z, and w. To solve the system, we can use various methods, such as Gaussian elimination or matrix operations.
By performing row operations, we can reduce the system to its row-echelon form or solve it directly to find the values of x, y, z, and w. We will solve the system of linear equations using the method of Gaussian elimination. The augmented matrix representation of the system is:
[1 1 2 -1 | -2]
[0 3 1 2 | 2]
[1 1 0 3 | 2]
[-3 0 1 2 | 5]
First, we'll perform row operations to transform the matrix into the row-echelon form:
R2 = R2 - 3R1
R3 = R3 - R1
R4 = R4 + 3R1
The resulting matrix after these operations is:
[1 1 2 -1 | -2]
[0 0 -5 5 | 8]
[0 0 -2 4 | 4]
[0 3 1 2 | 5]
Next, we'll perform additional row operations to further simplify the matrix:
R4 = R4 - 3R2
The matrix now becomes:
[1 1 2 -1 | -2]
[0 0 -5 5 | 8]
[0 0 -2 4 | 4]
[0 3 1 2 | -19]
Finally, we'll perform the last row operation:
R3 = R3 + 2R2
The matrix is now in row-echelon form:
[1 1 2 -1 | -2]
[0 0 -5 5 | 8]
[0 0 0 14 | 20]
[0 3 1 2 | -19]
From this row-echelon form, we can solve for the variables. Starting from the bottom row, we obtain:
3w + z + 2w = -19, which simplifies to 5w + z = -19.
Next, we have 0x + 0y - 5z + 5w = 8, which simplifies to -5z + 5w = 8.
Lastly, x + y + 2z - w = -2.
At this point, we have three equations with three variables: x, y, and z. By solving this simplified system, we can find the values of x, y, and z.
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help me plz i need the answer ? :)
Answer:
D
Step-by-step explanation:
Solve for x: 5x one third(3x 6) > 14 x > twelve fifths x > 2 x < twelve fifths x < 2
Answer:
x > 2
Step-by-step explanation:
I hope this helps