Zareen has 24 minutes to work on her math homework, and each problem is taking her Two-thirds of a minute, on average, to complete. Which expression can be used to determine the number of math problems she will be able to complete in the time she has? 24 divided by two-thirds 24 times two-thirds Two-thirds divided by 24 Three-halves divided by 24
Answer: 24 divided by 0.20= 120
Step-by-step explanation:
2/3 of a minute is 0.20 seconds so to see how many questions to do you have to take 24 and divide it by 0.20 (basically see how many times 2/3 of a minute goes into 24)
Answer:
a?
Step-by-step explanation:
A highway inspector needs an estimate of the mean weight of trucks crossing a bridge on the interstate highway system. she selects a random sample of 49 trucks and finds a mean of 15.8 tons with a sample standard deviation of 3.85 tons. the 90 percent confidence interval for the population mean is:
Answer:
14.90 to 16.70 tons
Step-by-step explanation:
We are given;
Sample size; n = 49
Mean; x¯ = 15.8
Sample standard deviation; s = 3.85
At 90% Confidence interval, z = 1.645
Formula for confidence interval is;
CI = x¯ ± z(s/√n)
Thus;
CI = 15.8 ± 1.645(3.85/√49)
CI = 15.8 ± 0.90
CI = 14.90 to 16.70 tons
Is this expression equivalent to 1.5?
15.0 / 10
15.0 (divided by) 10
Answer:
Yes it is true
Step-by-step explanation:
15/10 equals 1.5
A jar contains 200 coins.
Zack pulls out a coin, records its value, and then puts the coin back into the jar.
Zack does this same process 8 times and records 1 quarter, 2 dimes, 2 nickels, and 3 pennies.
Based on these results, how many coins in the jar can Zach expect to have a value of $0.10 or more?
Answer:
10% ive done these in 6th
Step-by-step explanation:
An account is opened with an initial deposit of $5,500 and earns 2.5% interest compounded annually. What will the account be worth in 10 years? Round your answer to the nearest cent. Do NOT round until you have calculated the final answer.
Answer:3243
Step-by-step explanation:
Keep
Getting this wrong please help!!
Graph the line that passes through the points (0, -5) and (5, 1) and
determine the equation of the line.
y
10
9
00
7
6
5
4
Answer:
y = 10/1x - 5
Step-by-step explanation:
y=mx+b
m=slope b=y-intercept
therefore
y=10/1x -5
(10/1 is a fractions just too lazy to make it a fraction on here)
Which of these is NOT a part of a formal proof?
Select one:
O a.statements
O b. given
O c. reasons
O d. diagram
O e. none of these
The option that is not a part of a formal proof is E. none of these
What is a formal proof?A formal proof or derivation can be described as a finite sequence of sentences, having an axiom, an assumption, or leads the way from the preceding sentences in the sequence by a rule of inference.
It demonstrates the logical necessity of a given conclusion.
The different parts of a formal proof includes;
StatementDrawingGivenProveProofHence, the correct option is E
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Mr. Kimball receives a $3000 annual salary
increase on the anniversary of his hiring if he receives
a satisfactory performance review. His starting salary
was $41,250. Write an equation to show k, Mr.
Kimball's salary after t years at this company if his
performance reviews are always satisfactory.
Answer:
OK so he gets 3000 a year
so 3000t is what we need. thats 3000 times the number of years.
His starting salary is 41250, so we would add that on.
K = 3000t + 41250.
Step-by-step explanation:
Erika's toy is valued at €450. Its value increased by 10% then decreases by 10% the year after. What is the value of Erika's toy after these two changes?
Answer:
€445.50-------------------------
Initial value of the toy is €450.
After 10% increase the value is:
€450 + 10% = €450*1.1 = €495After further 10% decrease the value becomes:
€495 - 10% = €495*0.9 = €445.50The final value of the toy is €445.50.
A company produces two products: A and B. The relative market values at the split-off point are not available. For every $300,000 of joint costs, Product A produces 10,000 pounds, and Product B produces 40,000 pounds. The amount of joint costs allocated to Product B using the physical quantities method is $
The joint costs allocated to Product B is $240,000.
What is amount of joint costs allocated to Product B?We must allocate joint costs based on the relative physical quantities produced by each product.
The total physical quantity produced by both products is:
= Quantity of A + Quantity of B
= 10,000 + 40,000
= 50,000 pounds
We will calculate the proportion of physical quantity produced by product A:
= Quantity of B / Total physical quantity
= 40,000 / 50,000
= 0.8
The amount of joint costs allocated to Product B is will be
= Total joint costs x Proportion of
= $300,000 x 0.8
= $240,000.
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prove that 1-cosA/sinA=cosecA-cotA
Answer:
See the proof below
Step-by-step explanation:
prove that 1-cosA/sinA=cosecA-cotA
Starting from RHS
cosecA-cotA
From trig identty
cosec theta = 1/sintheta and cot theta = cos theta/sin theta
Hence;
cosecA-cotA
= 1/sinA - cosA/sinA
FInd the LCM
= 1-cosA/sinA (LHS)
"What are the coordinates of your reflected triangle A’B’C’?"
Please help! Thank you!
A' - (-1,4)
B' - (-1,8)
C' - (-5,4)
hope this helps
Kacie just bought a new house and needs to buy new sod for her backyard, if the dimensisons of her yard are 33.5 feet by 13.6 feet, what s the area if her yard
Let W be the set of all vectors [ ] where b and d are real. Determine if W is a vector space and check the correct answer below. A. W is a vector space because it can be expressed as W = span {v1,. . . .,vn}. B. W is a vector space because it contains the zero element. C. W is not a vector space because it does not have additive closure D. W is not a vector space because it does not have a zero element.
W be the set of all vectors \(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\) where b and d are real. If W is a vector space because it can be expressed as W = span {v1,. . . .,vn}. So the option A is correct.
Let W be the set of all vectors
\(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\)
where b and d are real.
We can write the matrix as;
\(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]=b\left[\begin{matrix}1\\ 5\\ 1\\ 0\end{matrix}\right]+d\left[\begin{matrix}-2\\ 1\\3\\ 1\end{matrix}\right]\)
Remember that if aα + bβ ∈ W, ∀ α, β ∈ W and a, b are scalers, then W is a vector space. Let,
\(\alpha=\left[\begin{matrix}1\\ 5\\ 1\\ 0\end{matrix}\right],\beta=\left[\begin{matrix}-2\\ 1\\3\\ 1\end{matrix}\right]\)
These are independent vectors.
bα + dβ ∈ W. where α, β are independent vectors.
That is WE is a span of {α, β}.
Hence, W is a vector space.
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The complete question is:
Let W be the set of all vectors \(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\) where b and d are real. Determine if W is a vector space and check the correct answer below.
A. W is a vector space because it can be expressed as W = span {v1,. . . .,vn}.
B. W is a vector space because it contains the zero element.
C. W is not a vector space because it does not have additive closure
D. W is not a vector space because it does not have a zero element.
Consider country Z with a GDP level of 210000 and a growth rate of 5% in 2019 (ie calculated at the end of year 2019). The experts predict that the growth of the economy of country Z will gradually slowdown in the coming year. More precisely, they foresee the following growth rate for the future: 2019-2022 (5%), 2022-2025 (3%).
a. Assuming that the prediction of the experts listed above are accurate, when in the future will country Z's GDP double compared to the GDP level of 2019??
b. What would country Z's GDP growth rate be from 2025 and so on at 1%. Explain your reasoning carefully
Answer:
a. Country Z's GDP will double in 23 years' time, given the experts prediction of 5% growth for 3 and 3% thereafter.
b. Z's GDP 's growth rate would be 39%.
This growth rate is calculated by determining Z's GDP from the end of 2025 as 292,000. So, (292,000 - 210,000)/210,000 x 100 = 39% from the 2019 base year.
Step-by-step explanation:
a) 2019 Country Z's GDP = 210,000
2019 Growth rate = 5%
Future growth rate:
2019 - 2022 = 5%
2022- 2025 = 3%
2025 - so on = 1%
Let Country Z's GDP in 2019 = G₀ = 210,000
n = number of years from 2019
g = growth rate = 5%
(1 + g)ⁿ = increase in GDP as a result of the growth rate and number of years
Gⁿ = GDP in n years
Therefore, Gⁿ = G₀(1 + g)ⁿ
b) With GDP growth of 5% from 2019 to 2022, the GDP will be
= 210,000 (1 + 5%)³
= 210,000 x 1.158
= 243,000 approx.
c) From 2022 to 2025 at 3%, the GDP will be
= 243,000 (1 + 3%)∧20
= 243,000 x 1.817
= 441,531
d) Z's GDP from 2025 with 1% growth and so on, will become double at:
Gⁿ = 265,600(1 + 1%)∧48
= 265,600 x 1.61
= 428,000
48 + 6 = 54 years.
HELLO PLEASE HELP??
which equation represents the circle described? 1. the radius is 2 units 2. the center of the circle is at (5,-6) (x+5)^2+ (y- 6)^2 =4
(x - 5)^2 + ( y + 6)^2 = 4
(x + 5)^2 + (y - 6)^2 =2
(x - 5)^2 + (y + 6)^2 =2
Answer:
(x-5)^2 + (y+6)^2 = 4
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x-5)^2 + (y- -6)^2 = 2^2
(x-5)^2 + (y+6)^2 = 4
How are the two angles related?
The two angles are related in that they are supplementary angles
Supplementary angles would add tuo to 180 degrees according to the angle Theorem.
Adding the two given angles :
52+128 = 180These angles are supplementary
The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.
Hence, the angles are related as they are supplementary angles .
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1. Find a markdown of 1/9 on $450?
2. 15 is what percent of 60?
3. 124% of 10 represents a certain number. What is that number?
Step-by-step explanation:
1. 1/9 of 450
of is multiply
1/9 × 450
= ???
2. 15/60 = decimal number
change number to percentage = ???
I dont know what 3 is
put answers to 1 and 2 in comments i will mark if u don't understand comment
please mark brainiest
Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
will mark brainliest if amswer right pitcure included
Answer:
QPT is obtuse
SPQ is acute
TPR is right
Step-by-step explanation:
Took geometry two years ago
Answer:
TPR is a right angle all the other are wrong tho
Step-by-step explanation:
Which expression are equivalent to 3p + 15? choose ALL THAT APPLY
A) 3(p + 5)
B) 2p - p + 15
C) 7p - 4p + 15
D) 3(p + 15)
Answer:
A and C
Step-by-step explanation:
The equivalent expressions are:
3(p + 5) and 7p - 4p + 15
Options A and C are the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
3p + 15
Taking out common factors.
3 (p + 5) ____(1)
And,
7p - 4p + 15
3p + 15
3(p + 5) _____(2)
From (1) and (2),
3(p + 5) and 7p - 4p + 15 are equivalent expression.
Thus,
The equivalent expressions are:
3(p + 5) and 7p - 4p + 15
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Which expression represents seven less than the product of thirteen times a number, and two squared?
(13x + 22) · 7
7(13x · 22)
7 + 13x + 22
7 + 13x · 22
(13x · 22) − 7
Seven less than the product of thirteen times a number, and two squared is as follows;
(13x × 2²) - 7
How to represent an expression?The expression says seven less than the product of thirteen times a number, and two squared.
Let
the number = x
Hence, the product of thirteen times a number, and two squared is as follows:
13(x)(2²)
Therefore, seven less than the product of thirteen times a number, and two squared is as follows;
(13x × 2²) - 7
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please help me and please hurry!! the directions are on the image. also please show working clearly.
The corresponding areas under the curves for y = 2x-x² in the interval [1, 2] and y = x³-6x²+8x in the interval [0, 4] are 2/3 unit² and 0 unit²
How to find the area under the curve?Given:
1. y = 2x-x² in the interval [1, 2]
2. y = x³-6x²+8x in the interval [0, 4]
In order to find the area under the curve for these functions for the given intervals, we will take the integral of the functions and use the intervals as upper and lower limits: Thus:
y = 2x-x² in the interval [1, 2] will be:
\(\int\limits^2_1 {2x-x^{2} } \, dx = \left[\frac{ 2x^2}{2}-\frac{ x^3}{3}\right]_1^2\)
\(= \left[x^{2} -\frac{ x^3}{3}\right]_1^2\)
Substitute the value of the upper and lower limits into x:
= [2²- 2³/3] - [1²- 1³/3]
= [4 - 8/3] - [ 1 - 1/3]
= [4/3] - [2/3]
= 2/3 unit²
y = x³-6x²+8x in the interval [0, 4] will be:
\(\int\limits^4_0 {x^{3} -6x^{2} + 8x } \, dx = \left[\frac{ x^4}{4}-\frac{ 6x^3}{3}+\frac{ 8x^2}{2}\right]_0^4\)
\(= \left[\frac{ x^4}{4}- 2x^3+4x^2\right]_0^4\)
= [4⁴/4 - 2(4)³ + 4(4)²] - [0⁴/4 - 2(0)³ + 4(0)²]
= [ 64 - 128 + 64] - [0 - 0 -0]
= 0 unit²
Therefore, the areas under the curves y = 2x-x² in the interval [1, 2]
and y = x³-6x²+8x in the interval [0, 4] are 2/3 unit² and 0 unit² respectively
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Use geometry to evaluate
Refer to the images attached. Now I am guessing when it says "use geometry" was to graph it? I wasn't completely sure. I attached how I would normally evaluate that problem and a graph of the piecewise function. It has been a while since I have dealt with integrating piecewise function, please let me know what process you were supposed to use if you figure it out. Hope this helps you a bit, have a good one!
Magic Realm, Inc., has developed a new fantasy board game. The company sold 15,000 games last year at a selling price of $20 per game. Fixed costs associated with the game total $182,000 per year, and variable costs are $6 per game. Production of the game is entrusted to a printing contractor. Variable costs consist mostly of payments to this contractor.
Required:
1) Prepare a contribution format income statement for the game last year and compute the degree of operating leverage.
2) Management is confident that the company can sell 18,000 games next year (an increase of 3,000 games, or 20%, over last year).
Compute:
a) The expected percentage increase in net operating income for next year.
b) The expected total dollar net operating income for next year.
The expected total dollar net operating Income for next year = $70,000
1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:
Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000
Variable expenses (15,000 × $6) = $90,000
Contribution margin = $210,000
Fixed expenses = $182,000Net operating income = $28,000
Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)
The expected percentage increase in net operating income for next year:
The expected sales in next year = 18,000
games selling price per game = $20
Therefore, Total sales revenue = 18,000 × $20 = $360,000
Variable expenses = 18,000 × $6 = $108,000
Fixed expenses = $182,000
Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses
= $360,000 – $108,000 – $182,000= $70,000
The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%
The expected total dollar net operating income for next year = $70,000
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Rylon Corporation manufactures Brute and Chanelle perfumes. The raw materials needed to manufacture each type of perfume can be purchased for $3 per pound. Processing 1 lb of raw material requires 1 hour of laboratory time. Each pound of processed raw material yields 3 oz of Regular Brute Perfume and 4 oz of Chanelle perfume. Regular Brute can be sold for $7/oz and Regular Chanelle for $6/oz. Rylon also has the option of further processing Regular Brute and Regular Chanelle to produce Luxury Brute, sold at $18/oz, and Luxury Chanelle, sold at $14/oz. Each ounce of Regular Brute processed further requires an additional 3 hours of laboratory time and $4 processing cost and yields 1 oz of Luxury Brute. Each ounce of Regular Chanelle processed further requires an additional 2 hours of laboratory time and $4 processing cost and yields 1 oz of Luxury Chanelle. Each year, Rylon has 6,000 hours of laboratory time available and can purchase up to 4,000 lb of raw material. Question : what is the simplex algorithm (manual table ) to find a solution to the linear programming problem given above
Convert the problem to standard form and write the initial tableau with slack variables:
Maximize
\(Z = 7*3 + 6*4 + 18*5 + 14*6 - 3*1 - 3*2 - 4*5 - 4*6\)
Subject to:
\(x1 + x2 + s1 = 4000\\x3 - (1/3)*1 + (1/3)*5 = 0\\x4 - (1/3)*2 + (1/2)*6 = 0\\x3*1 + 3*2 + 3*3 + 3*4 + 3*5 + 2*6 + s2 = 6000\)
All variables are non-negative.
Tableau
x1 x2 x3 x4 x5 x6 s1 s2 b
Z -3 -3 7 6 18 14 0 0 0
s1 1 1 0 0 0 0 1 0 4000
s2 3 3 3 3 3 2 0 1 6000
x5 0 0 1 0 1/3 0 0 0 0
x6 0 0 0 1 0 1/2 0 0 0
The basic variables are s1, s2, x5, and x6.
Step 1: Choose entering variable. The most positive coefficient in objective row is 18, corresponding to x5. x5 enters the basis.
Step 2: Choose the leaving variable. The minimum ratio of right-hand side to coefficient of x5 is 12000/(1/3) = 36000,
corresponding to s1. s1 leaves the basis.
Step 3: Perform, pivot operation to make x5 the basic variable for s1. Divide, pivot row by 1/3 and subtract appropriate multiples of the pivot row from other rows to make other entries in column 5 zero.
x1 x2 x3 x4 x5 x6 s1 s2 b
Z -3 -3 7 6 18 14 0 0 0
x5 0 0 1 0 1/3 0 0 0 0
s2 3 3 3 3 2 2/3 2/3 0 1/3 24000
x3 1 0 1/3 0 1/3 0 -1/3 0 0
x4 0 1 0 1/3 0 1/2 -1/6 0 0
The basic variables are x5, x3, x4, and s2.
Step 4: Choose the entering variable. The most positive coefficient in the objective row is 7, corresponding to x3. x3 enters the basis.
Step 5: Determine the leaving variable. The right-hand side's minimum ratio to the coefficient of x3 is 0, indicating that x3 can be increased without bound. This implies that the optimal solution is unbounded and that there is no finite optimal value for the problem.
As a result, the simplex algorithm demonstrates that the given linear programming problem lacks a feasible solution. This means that it is not possible to meet all of the constraints at the same time.
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Which of the following best describes a type of growth that is exponential at
first but slows as the amount reaches a certain maximum value?
A. Exponential decay
B. Exponential growth
C. Linear growth
D. Logistic growth
9514 1404 393
Answer:
D. Logistic growth
Step-by-step explanation:
The logistic growth function models a situation where the rate of growth is jointly proportional to the population and to the difference between the population and the carrying capacity.
Attached is an example of such a function.
What is the following sum?
5(³3√x)+9(³√x)
0 14 (√x)
14 (2√x²)
0 14 (3√x)
0
X
The solution for the given expression is 14∛x. The correct option is (C).
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is as below,
5∛x + 9∛x
The given expression can be simplified as follows,
5∛x + 9∛x
Here, both the terms have equivalent variables. So, both are like terms.
As per the rules like terms can be added or subtracted keeping the variable as the same.
Thus, 5∛x + 9∛x = 14∛x
Hence, the given expression can be evaluated as 5∛x + 9∛x = 14∛x.
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Investors are buying a studio apartment for $320,000. Of this amount, they have a down payment of $80,000. Their down payment is what percent of the purchase price?
Answer:
25%
Step-by-step explanation: