Answer:
108 inches cubed
Step-by-step explanation:
d is the same as double the radius so by dividing d in half you get the radius, with the radius you can solve the equation given, 4/3*3*3^3=108inches cubed
I am making two kinds of cookies: chocolate chip and lemon cookies.
(a)
Chocolate Chip Cookies
It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?
I can make
batches of chocolate chip cookies.
You may use the scratchpad to show your work.
(b) Lemon Cookies
It takes 0.75 cups of sugar to make a batch of lemon cookies. I have 5.5 cups of sugar. How many batches can I make?
I can make
batches of lemon cookies.
You may use the scratchpad to show your work
Enter your answer as a fraction
Uhh sorry to bother again I’ve had no motivation haven’t been paying attention so uh yea
22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The chocolate cookies is given as:
Number of chocolate cookies = 5.50 cups / 0.25 cup per cookie = 22
The lemon cookies is given as:
Number of lemon cookies = 5.50 cups / 0.75 cup per cookie = 7
22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar
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Alpine County’s population has been growing linearly. In 2010, the population was 1,175, and the population has been decreasing by 20 people each year.
1. The variable in the solution is the population every year
2. The model can be presented as
y= 1175-20x
3. The value of slope is -20 which says that the population decreases by 20 members for every one year increase from 2010
How to calculate the population?Let y be the population after x years from 2010
So, the model can be presented as
y= 1175-20x
Now for example, in year 2011
x= 2011-2010= 1
The population is y = 1175-20(1) = 1155
The population in year 2012 is
x= 2012-2010= 2
Population is y= 1175-20(2) = 1135
The result obtained is satisfactory and hence ok
The population follows a linear trend with slope of -20 and intercept of 1175.
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Using technology, determine the semi-annual payment on a 3 year loan of $8,561 at 9. 1% compounded semi-annually. Round your answer to the nearest cent. A. $1,662. 47 c. $1,925. 92 b. $1,914. 11 d. $1,991. 12.
The semi-annual payment is $1662.47
What will be the semi annual payment?Given : A 3 year loan of $8,561 at 9.1% compounded semi-annually.
We have to determine the semi annual payment.
We know,
\(P=\dfrac{PV.r}{1-(1+r)^{-n}}\)
Where PV is present value of loan.
r is rate of interest
n is time period.
Given loan is calculated semi annually,
So PV = $ 8561
r=9.1 % =9.1/200
and time period is 3 years = 6 number of period as semi annually.
Thus, Substitute,
We get,
\(P=\dfrac{8561(\dfrac{9.1}{200})}{1-(1+\dfrac{9.1}{200})^{-6}}\)
\(P=1662.47\)
Hence the semi-annual payment is $1662.47
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Destiny needs to save a 15 percent down payment for a car she wants to buy. She knows cars of this make and year model tend to sell for $9,000. How much will she need to save
Answer:
1,350
Step-by-step explanation:
15% of 9,000 is 1,350, you can multiply 9000 by .15.
Pls help asap!!!!! I don’t understand
Answer:
27
Step-by-step explanation:
13=g/3 +4
9=g/3
27=g
answer:27
A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t2 + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s. Which solution can be eliminated and why?
A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.
the solution to be eliminated is -0.2s this is because time do not have negative values
What is a quadratic equation?ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.
It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.
Considering the given function, the answer is both real one is negative the other is positive.
The solution in this case represents time, and time of negative value do not apply in real life
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Please help ASAP thank you
Step-by-step explanation:
step 1. 15^18/15^3
step 2. 15^18*15^-3
step 3. 15^(18 - 3)
step 4. 15^15
9. Given that P = (-1,16) and Q = (1, 9), find the component form and
magnitude of vector QP (Q is initial and Pis terminating). *
sharon is a good student who enjoys statistics. she sets a goal for herself to do well enough compared to her peers so that her standardized score on her statistics final is equal to her percentile rank (written as a decimal) among her classmates. scores on the statistics final are normally distributed. what goal did she set for herself?
Sharon's desired percentile rank of 0.78.
To determine the goal Sharon set for herself, we need to understand the relationship between standardized scores and percentile ranks.
In a standardized test, such as Sharon's Statistics final, the standardized score represents how well a student performed relative to the average score of the test-takers.
The percentile rank, on the other hand, indicates the percentage of test-takers that scored below a particular student.
In Sharon's case, she wants her standardized score to be equal to her percentile rank.
Therefore, her goal is to achieve a standardized score of 0.78 (written as a decimal) on her Statistics final.
This means she aims to score better than approximately 78% of her classmates, as indicated by her desired percentile rank of 0.78.
Hence her desired percentile rank of 0.78.
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There were 30 chaperones going on the sixth-grade field trip. If the ratio of chaperones to students is 1 to 4, then how many people were going on the field trip?
Answer:
Step-by-step explanation:
30
Answer:
30
Step-by-step explanation:
pls mark me brainiest
Johnny is a very picky eater, so he likes to use a lot of condiments. He has ketchup, salt, pepper, and shredded cheese at his disposal. His mother tells him he may only make two additions to his meal (i.e., he can add condiments only twice, regardless of whether or not he already used them). How many different ways can Johnny improve his meal?
10
6
12
16
Answer:
see the attachment photo!
The different ways Johnny can improve his meal is 16
How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?We can use combinations for this case,
Total number of distinguishable things is m.
Out of those m things, k things are to be chosen such that their order doesn't matter.
This can be done in total of
\(^mC_k = \dfrac{m!}{k! \times (m-k)!}\) ways.
If the order matters, then each of those choice of k distinct items would be permuted k! times.
So, total number of choices in that case would be:
\(^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}\)
This is called permutation of k items chosen out of m items (all distinct).
Given;
Mother tells him he may only make two additions to his meal
First addition; 1C4
Second addition; 1C4
1C4=4
=4x4
=16
Therefore, by combinations and permutations their will be 16ways
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A transformation T : (x, y) (x + 3, y + 1). The preimage of the point (4, 3) is (-1, -2) (7, 4) (1, 2)
Answer:
(1, 2)
Step-by-step explanation:
'Undo' the rule on the image to get the pre-image.
\((4,3)\rightarrow(4-3,3-1)\rightarrow\boxed{(1,2)}\)
(1,2) would be the pre-image to (4,3).
To see if it's correct:
\((1,2)\rightarrow(1+3,2+1)\rightarrow(4,3)\)
(1,2) should be correct.
Answer:
the correct answer is (1,2)
Step-by-step explanation:
what other information do you need to immediately prove the triangles congruent using sas congruence with no additional steps?
To prove ΔXWZ and ΔXYZ are congruent using sas congruence, ∠WXZ and ∠YXZ must be congruent.
In this question we have been given two triangles ΔXWZ and ΔXYZ.
We need to prove ΔXWZ and ΔXYZ are congruent using sas congruence.
To prove ΔXWZ and ΔXYZ are congruent using sas congruence we need
WX = XY ...........(given)
∠W ≅ ∠Y
XZ = XZ ..............(common side)
then ΔXWZ ≅ ΔXYZ ................(by SAS congruence rule)
By the SAS rule, the angle between the same side must be equal so ∠WXZ = ∠YXZ.
Therefore, it suffices to show that both triangles are congruent if ∠WXZ = ∠YXZ.
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Find a figure associated to given question below.
In the expression 9z + 3 - 2z + z - 2, how many constants are there
Complete the inequality.
85 milliliters ___ 0.85 liters
a.=
b.>
c.<
help asap 14 points and brainlyist
Answer:
=
Step-by-step explanation:
Answer:
>
Step-by-step explanation:
use the formula for the sum of the first n integers to evaluate the sum given below. 3+6+9+12+....+150
The sum of the numbers 3+6+9+12+....+150 is 3825. To find the sum of an arithmetic series, you can use the formula:
Sum = (n * (a1 + an)) / 2
where n is the number of integers, a1 is the first integer, and an is the last integer.
In this case, the series is 3, 6, 9, ..., 150, and it's an arithmetic series with a common difference of 3. To find the number of integers (n) in the series, use the formula:
n = ((an - a1) / common difference) + 1
n = ((150 - 3) / 3) + 1 = (147 / 3) + 1 = 49 + 1 = 50
Now, use the sum formula:
Sum = (n * (a1 + an)) / 2
Sum = (50 * (3 + 150)) / 2
Sum = (50 * 153) / 2
Sum = 7650 / 2
Sum = 3825
So the sum of the given series is 3825.
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Excel wants to increase the productivity of its line workers. four different programs have been suggested to help increase productivity. twenty employees, making up a sample, have been randomly assigned to one of the four programs and their output for a day's work has been recorded. you are given the results in the file name ahmadi. State the null and alternative hypotheses.
The null hypothesis would be that there is no significant difference in productivity between the four programs. The alternative hypothesis would be that there is a significant difference in productivity between at least two of the programs.
In this scenario, Excel is trying to increase the productivity of its line workers and is testing four different programs. A sample of twenty employees has been randomly assigned to one of the programs, and their daily output has been recorded in the file named "ahmadi." We will use these data to determine if any of the programs are effective in increasing productivity. The null and alternative hypotheses can be stated as follows:
Null Hypothesis (H0): There is no significant difference in productivity between the four programs. In other words, none of the programs have a meaningful impact on the productivity of the line workers.
Alternative Hypothesis (H1): At least one of the four programs has a significant impact on the productivity of the line workers, leading to increased output compared to the other programs.
To test these hypotheses, you would typically perform an analysis of variance (ANOVA) on the data provided in the "ahmadi" file. If the ANOVA result is significant, you would reject the null hypothesis and accept the alternative hypothesis, indicating that at least one program effectively increases productivity.
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Each decision maker wants to make a choice that____ satisfaction
Answer:
maximizes !
Step-by-step explanation:
i searched it up your welcome!!
Need an explanation
Answer: Choice B
\((6\sqrt{5}+5)i\)
==========================================================
Work Shown:
\(\sqrt{-5}+\sqrt{-25}+\sqrt{-125}\\\\\sqrt{-1*5}+\sqrt{-1*25}+\sqrt{-1*25*5}\\\\\sqrt{-1}*\sqrt{5}+\sqrt{-1}*\sqrt{25}+\sqrt{-1}*\sqrt{25}*\sqrt{5}\\\\i*\sqrt{5}+i*5+i*5*\sqrt{5}\\\\i*\sqrt{5}+5i+5i*\sqrt{5}\\\\(i\sqrt{5}+5i*\sqrt{5})+5i\\\\(\sqrt{5}+5\sqrt{5})i+5i\\\\(6\sqrt{5})i+5i\\\\(6\sqrt{5}+5)i\\\\\)
This points us to answer choice B
a:b= 7:1
Circle the correct equation.
a= 7b
b=7a
a=6b
b= 6a
Answer:
a= 7b
Step-by-step explanation:
a=7
b=1
a->7=7b(1)
a=7(1)
a=7
7=7
A rational number equivalent to 5/7 is
5/7 is 5÷7
so
5÷7 = 0.7142857143
10 points!!!
Evaluate. 5 + |1 - 4| (3 - 6)^2 /3
A. 6
B. 11
C. 14
D. 24
Answer:
The answer from using a graphing calculator would be B because I had gotten 11.24025147 and that would round up to 11
Step-by-step explanation:
I would suggest that you use your graphing calculator for this or calculator.
Just answer "(A)question" with short answer "no more than 15 lines". Read the following case and answer the questions below Engineer John is employed by SPQ Engineering. an engineering firm in private practice involved in the design of bridges and other structures. As part of its services, SPQ Engineering uses a computer aided design (CAD) software under a licensing agreement with a vendor The licensing agreement states that SPQ Engineering is not permitted to use the software at more than one workstation without paying a higher licensing fee SPQ Engineering manager ignores this restriction and uses the software at a number of employee workstations Engineer John becomes aware of this practice and calls the hotline in a radio channel and reports his employer's activities a) List the NSPE fundamental canons of ethics that was/were violated by engineer John. 15 points! b) Discuss the behavior of engineer John with respect to the NSPE fundamental canons of ethics [15 points] c) How would you do if you were in the position of Engineer John? [10 points) Provide your answer for part (A) in the available textbox here in no more than 15 lines myportal.aum.edu.kw 5G
(A) The NSPE fundamental canons of ethics violated by engineer John are Canon 1: Engineers shall hold paramount the safety, health, and welfare of the public, and Canon 4: Engineers shall avoid deceptive acts.
Engineer John had violated the NSPE fundamental canons of ethics in his actions against his employer. His act of reporting the employer's unethical behavior is a commendable act as it reflects his respect for Canon 1, which states that engineers should prioritize public safety, welfare, and health.
He had reported his employer's illegal act of using the software on multiple workstations to the radio channel's hotline, even though his employer might be jeopardizing his own job safety.
Engineer John also broke Canon 4, which requires engineers to prevent fraudulent practices and avoid misleading acts that can harm the public.
His manager's act of using the software on multiple workstations without paying the licensing fee was fraudulent, and engineer John's report protected the company's ethics, preventing them from getting into trouble. He showed loyalty to his employer by following the ethical principles and guidelines.
Engineer John's actions were ethical and commendable. He had the courage to follow his principles and respect the NSPE fundamental canons of ethics. He did not allow his employer's illegal act to jeopardize public safety, welfare, and health. He showed his loyalty to his employer by protecting their reputation and guiding them towards the right path of ethics.
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Let Y~N(0,1). Let Z = 27. Find the distribution of Z using the moment generating function technique.
Using the moment generating function technique, we found that the distribution of Z is degenerate with the single value of 27.
To find the distribution of Z, we first need to find its moment generating function.
Recall that the moment generating function of a random variable Y is defined as M_Y(t) = E(e^(tY)). Using this definition, we can find the moment generating function of Z:
M_Z(t) = E(e^(tZ)) = E(e^(27t)) = e^(27t) * E(1) = e^(27t)
Since Z has a moment generating function that is equal to e^(27t), we know that Z follows a degenerate distribution, which means it only takes on one value. In this case, Z only takes on the value of 27.
Therefore, the distribution of Z can be written as:
P(Z = 27) = 1
In summary, using the moment generating function technique, we found that the distribution of Z is degenerate with the single value of 27.
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How do I solve this problem: 6c - 8 - 2c = -16
Answer:
c = -2
Step-by-step explanation:
6c-8-2c = -16
4c -8 =-16
4c = -16 +8
4c = -8
4c/4 = -8/4
c = -2
Answred by Gauthmath
The solution of the equation 6c - 8 - 2c = -16 is -2 calculated by combining like terms and isolating the variable then dividing the equation by coefficient of the c variable.
To solve the equation 6c - 8 - 2c = -16, isolate the variable c on one side of the equation.
Combine like terms on the left side of the equation:
6c - 2c = 4c
The equation now becomes:
4c - 8 = -16
Take constant term on the right side of the equation by adding 8 to both sides:
4c - 8 + 8 = -16 + 8
The equation simplifies to:
4c = -8
To find the value of c, divide both sides of the equation by 4:
4c / 4 = -8 / 4
c = -2
Hence, the value of c is -2 in the equation 6c - 8 - 2c = -16.
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Find the average rate of change of the function defined by the following table X -2,2,6,10 Y -5,35,75,115
Answer:
The slope is 10 (y =10x +15)
Step-by-step explanation:
When using two coordinates to find the slope of a linear function, I choose (-2,-5) and (2,35) *but you can choose any two.
The formula for finding the slope is y-y divided by x-x.
so... (35)-(-5)=40 NOTE: I did 35 minus -5 but you can also do -5 minus 35.
2-(-2)=4 But just remember to do it the same order for
subtracting the x coordinates.
40/4=10
A partnership owned equally by 15 partners is worth $1.5 million. The partnership loses a lawsuit
worth $5 million. What is the value of any personal property each partner must forfeit to pay the
settlement?
Answer:
Hey there!
5000000-1500000=3500000
3500000/15=$233333.33
Your answer should be $233333.33
Let me know if this helps :)
Ethan buys a video game on sale. if the video game usually costs $39.99, and it was on sale for 20% off, how much did ethan pay? round to the nearest cent.
The required amount that Ethan have to pay is $32.
What is discount on sale?A sales discount is a marked down cost presented by a business on an item or administration. Figure out how to remember limits for solicitations. A deals rebate, likewise usually known as only a 'markdown' furnishes clients of a business with a diminished rate on at least one of the items or administrations being advertised.
According to question:We have,
Selling price = $39.99
Discount = 20%
20% of $39.99 = 20×$39.99/100
⇒ $7.99
So the payable amount for video game = $39.99 - $7.99
⇒ $32
Thus, required price is $32.
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HELP ASAP!!!
Solve for m in the following equation.
4m/3= 8
m= 10
m= 6
m= 2
m= 96
You buy three more than twice as many pounds of apples as bananas. If you bought seven pounds of apples, how many pounds of bananas did you buy?
What is the correct equation and solution for this problem?
3p – 2 = 7; p = 3 pounds
2p – 3 = 7; p = 5 pounds
3p + 2 = 7; p = 3 pounds
2p + 3 = 7; p = 2 pounds
Thank you!!
Answer:
1. STEPS FOR SOLVING LINEAR EQUATION
\( \frac{4m}{3} = 8\)
Multiply both sides by 3.
4m=8×3
Multiply 8 and 3 to get 24.
4m=24
Divide both sides by 4.
\(m = \frac{24}{4} \)
Divide 24 by 4 to get 6.
m=6
2. 2p+3=7; p=2 pounds
Calculate the volume of a parallelepiped whose sides are described by the vectors, A = [-4, 3, 2] cm, B = [2,1,3] cm and C= [1, 1, 4] cm, You can use the vector triple product equation Volume = A . (BXC)| .
The volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.
The given vectors are:
A = [-4, 3, 2] cm, B = [2,1,3] cm and C= [1, 1, 4] cm
In order to calculate the volume of parallelepiped, we will use vector triple product equation:
Volume = A . (BXC)|, where BXC represents the cross product of vectors B and C.
Step-by-step solution:
We have, A = [-4, 3, 2] cm
B = [2,1,3] cm
C = [1, 1, 4] cm
Now, let's find BXC, using the cross product of vectors B and C.
BXC = | i j k| 2 1 3 1 1 4 | i j k | = -i + 5j - 3k
Where, i, j, and k are the unit vectors along the x, y, and z-axes, respectively.
The volume of the parallelepiped is given by:
Volume = A . (BXC)|
Therefore, we have: Volume = A . (BXC)
\(Volume = [-4, 3, 2] . (-1, 5, -3)\\Volume = (-4 \times -1) + (3 \times 5) + (2 \times -3)\\Volume = 4 + 15 - 6\\Volume = 13\)
Therefore, the volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.
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