The time needed to complete 11 questions is given as follows:
27 minutes and 30 seconds.
How to obtain the time needed?The time needed to complete 11 questions is obtained applying the proportions in the context of the problem.
From the table, we have that 15 minutes are needed to complete 6 questions, hence the time per question is given as follows:
15/6 = 2.5 minutes per question.
Then the time needed to complete 11 questions is given as follows:
11 x 2.5 = 27.5 minutes = 27 minutes and 30 seconds.
Meaning that the first option is the correct option for this problem.
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The completely factored form of the polynomial is f(x) =
.
The answer is: (x-3)(x-1)(x+2)
Because the first term is x^3, it means that there must be 3 independent x's multiplying by each other. From there you just have to est what numbers to pair them with. If that doesn't make sense let me explain more:If you have x^2 it will be:(x + y) (x + z) If you have x^3 it will be: (x + y) (x + z) (x + g) If you have x^4 it will be: (x + y) (x + z) (x + g) (x + f) etc; now all you have to do after you pick which one it matches with, it just find what the value of y, z, and g are through trial and error. I am not showing all my trial and error because it is long to type out, easier to just explain the process.
HELPPPPPPPPPPPPPPPPP
Answer:
I think it's 160 square inches. Try L x W x H (length multiplied by width multiplied by height). So that would mean 4 x 5 = 20 x 8 = 160,
hope this helps!
Answer:
Step-by-step explanation:
Find the product of (x − 5)2.
x2 + 10x + 25
x2 − 10x + 25
x2 − 25
x2 + 25
Answer:
\({x}^{2} - 10x + 25\)
Step-by-step explanation:
How can we solve this?For this problem, we can break the equation into (x - 5) use FOIL. First, Outer, Inner, Last.
(x - 5) (x - 5)
First, multiply the two Xs together.
X * X =
\( {x}^{2} \)
Now, the outer numbers and values.
X * -5 =
\( - 5x\)
Then, it's the inner numbers and values.
-5 * x =
\( - 5x\)
Finally, multiply the last numbers.
-5 * -5 =
\( 25\)
Now that we have multiplied all of the values, we can put the answers from FOIL together.
\( {x}^{2} - 5x - 5x + 25\)
Now, add any like terms.
\( - 5x - 5x = - 10x\)
The answer is
\( {x}^{2} - 10x + 25\)
data envelopment analysis (dea) is best used in an environment of low divergence and high complexity. t/f
True. Data Envelopment Analysis (DEA) is best used in an environment of low diverges and high complexity. In such situations, DEA can effectively analyze and compare the efficiency of decision-making units, even when dealing with multiple inputs and outputs.
Data Envelopment Analysis (DEA) is a method used to measure the efficiency of decision-making units. It works by analyzing a set of inputs and outputs to determine the relative efficiency of each unit. DEA is best suited for situations where there is low diverges among the units being analyzed, meaning they are all operating under similar conditions. Additionally, DEA is most effective in situations of high complexity, where there are multiple inputs and outputs that need to be considered. Therefore, the statement that DEA is best used in an environment of low divergence and high complexity is true.
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Britney bought 4 book covers and 5 binders and spent $30.50. Brianna
bought 2 book covers and 3 binders and spent $17.50. How much did a
book cover cost? How much did a binder cost?
Answer:
A Book cover costs = 8.70
A Binder costs = 8.80
8.70 + 8.80 = $17.5
For Brianna
A Book cover costs = 13.75
A Binder costs = 16.75
13.75 + 16.75 = $30.50
For Britney
Answer:
2$a book, 4,5$a binder
Step-by-step explanation:
4 books...... 5 binders..... 30,50$
2 books...... 3 binders.... 17,50$/×2
=>
4 books..... 5 binders..... 30,50$
4 books...... 6 binders...... 35$
///////
6-5 =1binder cost 35 - 30,50 =4,5$
3 ×4,5 =13,5$three binders
17,5 - 13,5 =4$cost 2 books covers
4:2=2$cost a book covers
Chris is planning to attend a public university after he graduates from high school in 2 years. He is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the public university for one-year is $27,000. His family has promised to contribute $14,500 each year he is in school. What is the minimum amount of money Chris must contribute to his savings per month for the next 2 years to have enough money to pay for his first year of tuition?
a
$520.83
b
$530.85
c
$508.65
d
$597.16
Answer:
a. 520.83
Step-by-step explanation:
please rank brainliest :)
Here are two expressions whose sum is a new expression, . Select all the values that we can put in the box so that is a polynomial. A. -2 B. -1 C. -0.5 D. 0 E. 0.5 F. 1 G. 2
We can put any of the options (A, B, C, D, E, F, or G) in the box to ensure that the sum is a polynomial.
Here are two expressions whose sum is a new expression. We need to find the values that we can put in the box so that the sum is a polynomial. The options are A. -2, B. -1, C. -0.5, D. 0, E. 0.5, F. 1, and G. 2.
To determine if the sum is a polynomial, we need to understand what a polynomial is. A polynomial is an algebraic expression consisting of variables, coefficients, and exponents, where the exponents are non-negative integers.
To create a polynomial sum, we need to ensure that both expressions have the same variables and exponents. Let's consider each option:
A. -2: If both expressions have the same variables and exponents, and when we add them, the resulting sum is still a polynomial.
B. -1: Same considerations as above.
C. -0.5: Same considerations as above.
D. 0: Same considerations as above.
E. 0.5: Same considerations as above.
F. 1: Same considerations as above.
G. 2: Same considerations as above.
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In a state lottery, there are 12 finalists who are eligible for the Big Money Draw. In how many ways can the first, second, and third prizes be awarded if no ticket holder can win more than one prize? ways
Answer: 1320 ways
Step-by-step explanation:
In this scenario, 12 finalists are eligible for the money draw and no finalist can win more than one prize.
So for the 1st prize we have 12 finalists
For the 2nd prize we have 11 finalists
And finally, for the 3rd prize we have 10 finalists
Using the multiplication principle:
Total number of ways = 12 x 11 x 10
= 1320
Therefore, there are 1320 ways the first, second, and third prizes be awarded
Gary is thinking of a number he says my number is prime and it is a factor of 36 what is the.2 Number he could be thinking of
Answer:
3
Step-by-step explanation:
needed to write more but it's still 3
Precision cuts has a target debt-equity ratio of 0.55. its cost of equity is 15.4 percent, and its pretax cost of debt is 7.8 percent. if the tax rate is 32 percent, what is the company's wacc?
The company's WACC is 9.95%. This implies that the company must generate a return of at least 9.95% on its investments to cover its cost of capital.
WACC (Weighted Average Cost of Capital) is a measurement used to determine a company's cost of capital. It is calculated as a weighted average of the costs of equity and debt, considering the company's capital structure. The formula for WACC is:
WACC = (E / V x Re) + [(D / V x Rd) x (1 - T)]
Where:
E = Market value of the company's equity
D = Market value of the company's debt
V = Total value of the company (equity + debt)
Re = Cost of equity
Rd = Pretax cost of debt
T = Tax rate
Given the following values:
Debt-equity ratio = 0.55
Cost of equity (Re) = 15.4%
Pretax cost of debt (Rd) = 7.8%
Tax rate = 32%
We can calculate the after-tax cost of debt, Rd, by multiplying the pretax cost of debt with (1 - tax rate). Thus,
Rd = 7.8% x (1 - 32%) = 5.292%
Now, we can substitute the values into the WACC formula:
WACC = [(E / V x Re) + (D / V x Rd) x (1 - T)]
WACC = [(1 / 1.55 x 15.4%) + (0.55 / 1.55 x 5.292%) x (1 - 32%)]
WACC = 9.95%
Therefore, the company's WACC is 9.95%. This implies that the company must generate a return of at least 9.95% on its investments to cover its cost of capital.
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If the children were to share the juice equally, how much would each child get? Show your work.
Answer:
you are missing part of the question
Step-by-step explanation:
ill give you brainliest if you answer fast and correctly
Answer:
the answer is 64.29% or just 64
the fraction form is 2/3
Step-by-step explanation:
Answer:
2/3 (Two-Thirds)
The percentage is also 66.6666667%, if they are asking for that.
Step-by-step explanation:
First, you add up all the numbers and get 84.
Then, you add up Friday and Saturday, to get 56.
You now have 56/84.
Simplify and get 2/3.
You are LOVED <3
3.
Below are the ACT scores attained by the 25 members of a local high school
graduating class. Create a stemplot that models the data.
23
19
21
26
25
19
25
18
20
19
23
30
33
22
22
21
30
27
16
21
27
22
27
21
23
Answer:
wait let me go get my quiz notenbooke i had the same thing
Step-by-step explanation:
so that you're coming purpose of each circle and find the radius and diameter below the circle
please help I need It now answer it correctly
Answer:
1.
The radius is given, so the radius is = 10
The radius is doubled to be a diameter, so (10 + 10) = 20 is your diameter
And to solve for circumference, your formula is;
C = 2πr
Where 'r' represents the radius, and 'π'(pi) is 22/7 or 3.14.
Plug in your values:-
C = 2πr
C = 2(3.14) x 10
C = 6.28 x 10
C = 62.8, so your circumference is 62.8.
2.
Your radius is half of your diameter, so,
D/2 = R
D = diameter
R = Radius
49/2 = 24.5 is your radius.
Your diameter is given, so the diameter is 49.
Use the formula we applied for circumference in our other problem;
C = 2πr
C = 2(3.14) x 24.5
C = 6.28 x 24.5
C = 153.86, so 153.86 is your circumference.
emma is moving to a large city and is investigating typical monthly rental prices of available one-bedroom apartments. she obtained a random sample of rental prices for 50 one-bedroom apartments taken from a web site where people voluntarily list available apartments. (a) describe the population for which it is appropriate for emma to generalize the results from her sample.
The population for which it is appropriate for Emma to generalize the results from her sample is the population of one-bedroom apartment rental prices in the large city where Emma is moving.
This population includes all the prices of one-bedroom apartments that are available for rent in that city, not just the ones that are listed on the website where Emma obtained her sample. Emma is most likely to be utilizing the information from her sample to make inferences about the population as a whole, such as the typical monthly rental prices, the range of prices, and the distribution of prices.
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2/5 of a number is 16. What is the number
Answer:
2x/5 =16
=> 2x= 16×5= 80
=> X= 40 answer
find the measure of the missing angles for f,d,e
Answer:
E= 36 D=102 F=42
Step-by-step explanation:
E= 36 because of the vertical angles theorem, d =102 because of vertical angles theorem, and finally we have f = 42 because all these angles form a straight angle/line which adds up to 180. So before we knew that d=102 and e=36 so we can add those up and we get 138. Then we subtract 132 from the measure of a straight angle (180 degrees), to get f. SO 180-132 =f=42
find the points on the lemniscate where the tangent is horizontal.
The four points on the lemniscate where the tangent is horizontal are (0, ±a/sqrt(2)) and (±sqrt(a^2 - x^2), ±sqrt(a^2 - x^2)), where x is a solution of the equation x(x^2 + y^2 - 2a^2) = 0
Explanation: The lemniscate is given by the equation (x^2 + y^2)^2 = 2a^2(x^2 - y^2), where a is a positive constant. To find the points on the lemniscate where the tangent is horizontal, we differentiate this equation with respect to x:
d/dx [(x^2 + y^2)^2] = d/dx [2a^2(x^2 - y^2)]
2(x^2 + y^2)(2x + 2y dy/dx) = 4a^2x
To find the values of x where the tangent is horizontal, we set the derivative dy/dx equal to zero, since a horizontal tangent has zero slope. This gives:
2(x^2 + y^2)(2x) = 4a^2x
(x^2 + y^2)(2x) = 2a^2x
x(x^2 + y^2 - 2a^2) = 0
Thus, we have two possible values of x: x = 0 and x^2 + y^2 = 2a^2. To obtain the corresponding values of y, we substitute these values of x into the equation of the lemniscate:
When x = 0, we have y = ±a/sqrt(2), corresponding to the two points (0, ±a/sqrt(2)) on the lemniscate where the tangent is horizontal.
When x^2 + y^2 = 2a^2, we have y = ±sqrt(2a^2 - x^2), corresponding to the two pairs of points on the lemniscate where the tangent is horizontal: (±sqrt(a^2 - x^2), sqrt(a^2 - x^2)) and (±sqrt(a^2 - x^2), -sqrt(a^2 - x^2)).
Therefore, the four points on the lemniscate where the tangent is horizontal are (0, ±a/sqrt(2)) and (±sqrt(a^2 - x^2), ±sqrt(a^2 - x^2)), where x is a solution of the equation x(x^2 + y^2 - 2a^2) = 0.
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Which is a solution to the equation |10-5y|=20
A mover notes the weights of a table and 4 chairs and records t+4C >_100 on his invoice. What is he communicating?
The choices are,
A. The table and 4 chairs each weigh more than 100 pounds.
B. The table and 4 chairs weigh at most 100 pounds.
C. The table and 4 chairs weigh around 100 pounds, give or take a little.
D. The table and 4 chairs at
least 100 pounds
The mover is communicating that the weight of the table and 4 chairs combined, represented as t+4C, is greater than or equal to 100 pounds.
The expression t+4C represents the total weight of the table and 4 chairs. The mover's invoice states that this total weight is greater than or equal to 100 pounds, which means that the combined weight of the table and chairs is at least 100 pounds. Therefore, the correct answer is D, "The table and 4 chairs weigh at least 100 pounds."
To solve this mathematically, we can use algebraic inequalities. The inequality t+4C >_ 100 can be rearranged as t >_ 100-4C. This means that the weight of the table t must be greater than or equal to 100 minus four times the weight of a single chair C.
If each chair weighs less than 25 pounds, then the total weight of the table and 4 chairs combined will be at least 100 pounds. So D is correct answer.
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Because studies used in a meta-analysis have typically used different statistical tests, a statistic called _____ size is used to put all the results into a common scale.
Because studies used in a meta-analysis have typically used different statistical tests, a statistic called effect size is used to put all the results into a common scale.
A meta-analysis is a statistical approach used to synthesize the results of several studies. It is a quantitative study of studies. In other words, it is a method that uses statistical analysis to incorporate the results of multiple clinical studies, which helps to obtain a more precise and reliable estimate of the impact of the intervention.
Effect size is used to combine all the results of the different studies into a common scale because each study might use a different statistical test that is not directly comparable to other studies.What is effect size?Effect size is a numerical value that describes the magnitude of the difference between two groups in a study. It allows researchers to compare the findings from different studies that might use different measurement instruments.
A large effect size implies a significant difference between the two groups in a study. Conversely, a small effect size indicates that there is no meaningful difference between the groups. Effect size is calculated as the standardized difference between the means of two groups divided by their standard deviation (Cohen’s d).
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Select the two values of x that are roots of this equation.
2x-3=-5x²
□ A. x = 3/5
B. x = -1
□ C. x= -2/3
□ D. X =5/3
Answer:
B and D
Step-by-step explanation:
\(1. \: 2x - 3 + 5 {x}^{2} = 0 \\ 2. \: 5 {x}^{2} + 5x - 3x - 3 = 0 \\ 3. \: 5x(x + 1) - 3(x + 1) = 0 \\ 4. \: (x + 1)(5x - 3) = 0 \\ 5. \: x = - 1 \: \: \: \frac{3}{5} \)
i dont understand graphs at all
Answer:
cool?
Step-by-step explanation:
Holly Chris and tony each collect action figures.Chris has twice as many action figures has 3 fewer action figures than Tony.
Answer:
i have the same question brainly peeps help out
Step-by-step explanation:
For the following function, find f′(a). b. Determine an equation of the line tangent to the graph of f at (a,f(a)) for the given value of a. f(x)=5/2x+3,a=3 a. f′(a)= (Simplify your answer.)
To find f'(a), the derivative of f(x) at the value a, we need to differentiate the function f(x) = 5/2x + 3 with respect to x using the power rule for derivatives.The equation of the tangent line is: 5x - 2y + 21 = 0.
The power rule states that if we have a function of the form f(x) = ax^n, where a and n are constants, then the derivative f'(x) is given by f'(x) = anx^(n-1).
Applying the power rule to f(x) = 5/2x + 3, we have:
f'(x) = (5/2) * 1x^(1-1)
= (5/2) * x^0
= (5/2) * 1
= 5/2
Therefore, f'(a) = 5/2.
b. To determine the equation of the line tangent to the graph of f at (a, f(a)), we use the point-slope form of a linear equation.
The equation of the tangent line is given by:
y - f(a) = f'(a) * (x - a)
Substituting f'(a) = 5/2 and a = 3, we have:
y - f(3) = (5/2) * (x - 3)
To find f(3), we substitute x = 3 into the original function:
f(3) = (5/2) * 3 + 3
= 15/2 + 3
= 21/2
Therefore, the equation of the tangent line at (a, f(a)) for a = 3 is:
y - (21/2) = (5/2) * (x - 3)
Simplifying, we get:
y - 21/2 = (5/2)x - 15/2
Bringing like terms to one side, we have:
(5/2)x - y + 21/2 = 0
Hence, the equation of the tangent line is:
5x - 2y + 21 = 0.
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true or false the x-coordinate of any point on the y-axis is 0?
Answer:
true
Step-by-step explanation:
you have a square 0 is always first
Answer:
true
Step-by-step explanation:
:)
Solvethefollowing:a) 7 − 4 + 12 = 2 + 8b) 14 + 15 − 9 + 1 = −7 + 1 − 9c) 4 − 10 = 8( + 2)
First, we subtract 2x on each side.
\(\begin{gathered} 7x-4x-2x+12=2x-2x+8 \\ x+12=8 \end{gathered}\)Then, we subtract 12 on each side.
\(\begin{gathered} x+12-12=8-12 \\ x=-4 \end{gathered}\)The solution is -4.(b)\(14x+15x-9+1=-7x+1-9\)We sum 7x on each side.
\(\begin{gathered} 14x+15x+7x-9+1=-7x+7x+1-9 \\ 36x-8=-8 \end{gathered}\)Then, we add 8 on each side.
\(\begin{gathered} 36x-8+8=-8+8 \\ 36x=0 \end{gathered}\)At last, we divide the equation by 36.
\(\begin{gathered} \frac{36x}{36}=\frac{0}{36} \\ x=0 \end{gathered}\)The solution is 0.(c)\(4x-10=8(x+2)\)First, we use the distributive property.
\(4x-10=8x+16\)Then, we subtract 8x on each side.
\(\begin{gathered} 4x-8x-10=8x-8x+16 \\ -4x-10=16 \end{gathered}\)Now, we add 10 on each side.
\(\begin{gathered} -4x-10+10=16+10 \\ -4x=26 \end{gathered}\)At last, we divide the equation by -4.
\(\begin{gathered} \frac{-4x}{-4}=\frac{26}{-4} \\ x=-6.5 \end{gathered}\)The solution is -6.5.IQ scores are normally distributed with a
mean of 100 and a standard deviation of
15. What percentage of people have an IQ
score less than 117, to the nearest tenth?
Answer: To find the percentage of people with an IQ score less than 117, we need to calculate the z-score first. The z-score measures how many standard deviations an individual score is from the mean in a normal distribution.
The z-score formula is given by:
z = (x - μ) / σ
Where:
x = IQ score (117 in this case)μ = mean IQ score (100)σ = standard deviation (15)
Let's calculate the z-score:
z = (117 - 100) / 15z = 17 / 15z ≈ 1.1333
Now, we need to find the percentage of people with a z-score less than 1.1333. We can look up this value in the standard normal distribution table (also known as the Z-table) or use statistical software/tools.
Using the Z-table, we find that the percentage of people with a z-score less than 1.1333 is approximately 0.8708, or 87.08% (rounded to the nearest hundredth).
Therefore, approximately 87.1% of people have an IQ score less than 117.
Question attached as screenshot below: please help me Pre Calculus
From the given question
The volume of a cone is:
\(V=\frac{1}{3}\times\pi\times r^3\)Now,
We are given with radius and the height of the cone
So,
We can solve for the radius as a function of water level using ratio and proportion
Then,
\(\begin{gathered} \frac{3}{9}=\frac{r}{h} \\ r=\frac{h}{3} \end{gathered}\)Substitute the value of r into the above formula
So,
\(\begin{gathered} V=\frac{1}{3}\times\pi\times r^3 \\ V=\frac{1}{3}\times\pi\times(\frac{h}{3})^3 \\ V=\frac{h^3}{81}\times\pi \end{gathered}\)Then,
Taking derivatives
\(\begin{gathered} V=\frac{h^3}{81}\times\pi \\ \frac{dV}{dt}=\frac{h^3}{81}\times\pi \end{gathered}\)The,
Solving for the dh/dt
So,
\(\begin{gathered} \frac{dV}{dt}=10\text{ and h=3, then } \\ \frac{dh}{dt}=9.55m\text{ /s} \end{gathered}\)Hence, the answer is 9.55.
HELP ME PLZZ I AM GIVING 40 POINTS
Answer:
D. 4/25
Step-by-step explanation:
If you add up all the number of times they picked up a balloon (50 times because 22 + 7 + 8 + 13 = 50) and how many times the orange balloon was chosen (8) then you will get 8/50 and 8/50 simplified is 4/25.