The area of the shaded portion in the image attached is
61.76 square ftHow to find the area of the shaded portionThe area of the portion is solved by following the procedures below
Area of rectangle
= length * width
= 14 * 8
= 112 square ft
Area of the circle
= π * r²
= 3.14 * 4 * 4
= 50.24 square ft
Area of the shaded part
= Area of rectangle - Area of circle
= 112 square ft - 50.24 square ft
= 61.76 square ft
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What is the first step in solving this equation? 2x - 5 = -17.4
Answer:
Step-by-step explanation:
1.Add 5 to both sides.
2. Divide both sides by 2.
Answer:
you need to find X fist then take 2 times x and the subtract it by five to get -17.4
Step-by-step explanation:
Choose the best graph that represents the linear equation:
-x = 2y + 1
The line slants downward from left to right, indicating that as x increases, y decreases.
The given linear equation is -x = 2y + 1. To represent this equation graphically, we need to rearrange it into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.Rearranging the given equation, we get:2y = -x - 1
Dividing both sides by 2:y = (-1/2)x - 1/2
The slope of the line is -1/2, which means that for every unit increase in x, y decreases by 1/2 unit. The y-intercept is -1/2, indicating that the line intersects the y-axis at (0, -1/2).
Based on this information, the best graph that represents the linear equation y = (-1/2)x - 1/2 is a straight line with a negative slope of -1/2, starting at the point (0, -1/2) and extending infinitely in both directions.
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Given: ,
bisects ∠AEC.
A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. A small box represents the angle for C E D.
What statements are true regarding the given statement and diagram?
∠CED is a right angle.
∠CEA is a right angle.
m∠CEA = One-half(m∠CEB)
m∠CEB = m∠BEA
m∠DEB = 135°
m∠AEB = 35°
Answer:
angle ced is a right ange
so the m angels debate =135 m angle aeb =35
so the answer is 135+35 =170
180 is a all side sim
=180-170=10 answer
Answer:
∠CED is a right angle.
∠CEA is a right angle.
m∠CEB = m∠BEA
m∠DEB = 135°
3.1.PS-14
Question Help
Error Analysis A contractor purchases 5 dozen pairs of padded work gloves for $69.60. He
incorrectly calculates the unit price as $13.92 per pair for the expense report What is the correct unit
price? What is the error?
The correct unit price is $ per pair
Answer:
The correct unit price is $1.16 per pair.
The contractor calculated the unit price in terms of per dozen.
Step-by-step explanation:
Given that:
Cost of 5 dozen pairs = $69.60
Unit price per dozen = \(\frac{69.60}{5} =\$13.92\)
Unit price means the price of one pair of padded work gloves, so we will convert dozens into unit.
1 dozen = 12 pairs
5 dozen = 60 pairs
Unit price = \(\frac{69.60}{60}\)
Unit price = $1.16 per pair
Hence,
The correct unit price is $1.16 per pair.
The contractor calculated the unit price in terms of per dozen.
A box is filled with five green card six green card and three blue cars. A card is chosen at random from the box. What is the Probability that it is a green or blue card
Answer:
so there is 14 cards in total so out of those 14 14 cards are either blue or green so 100%
Hope This Helps!!!
what is the range of the function in this table
Answer:
B
Step-by-step explanation:
RANGE are the Y values
Answer:
b
Step-by-step explanation:
Someone please help me with this
Step-by-step explanation:
To find the area of the square all you need to do is to find the length of the hypotenuse of the triangles
this will help us find the length of the square if we are given the values of the shorter lengths as shown up
we can calculate the length of the hypotenuse by using the Pythagorean theorem
\( \sqrt{a^{2} + b^{2} } = c\)
we are given the sides of the shorter lengths being 5 and 3 we can then substitute them into the formula
let us label the missing length the hypotenuse as x
\( \sqrt{ {3}^{2} + {5}^{2} } = x\)
\( \sqrt{34} = x\)
\(5.83\)
we get that 5.83 rounded to two decimal places is the length of the hypotenuse
we also know that it is the length of the square so
5.83 × 5.83 = Area of Square
34cm² = Area of Square
Solve each equation if \(f (x) = 2x^{2} - 2\) and \(g(x) = 6x + 3\)
18. True or False. If a function has a real sero of 4 with a multiplicity of three and an imaginary
zero of 41, then it has a degree of four.
19. True or False. The imaginary number 27 is a nero of ƒ(x) = x² −x² + 4x − 4.
20. True or False. The quotient of (x²-x² − 16x + 16) + (x − 1) is an irreducible quadratic.
For problems 21-26, use the limits of a polynomial to determine the end behavior.
Find the zeros of the function and indicate multiplicity. Then write the polynomial as a
product of linear factors. Sketch the graph, showing all intercepts.
/(x)=x² + 3x²-4
21. lim f(x) =
22. lim f(x) =
23. Zeros of f(x):
24. y-intercept of f(x):
25. Product of linear and irreducible quadratic factors of fix)
26. Sketch of f(x) using end behavior and intercepts. NO Desmos graphs.
The polynomial's zeros must be located using a method of your choice, and the linear expressions that produce those zeros must then be combined in order to describe the polynomial as a product of linear factors.
What is a linear factor of a polynomial?The term "triple zero" or "zero with multiplicity 3" is used to describe this. The power p governs the behaviour close to the x-intercept if a polynomial has a factor of the type (xh)p. A zero of multiplicity p is defined as x=h. The x-axis will be touched at zeros with even multiplicities on a polynomial function's graph.
A real number is multiplied by an imaginary unit, I whose feature i2 = 1 defines it as an imaginary number. Bi is an imaginary number, while b2 is its square. For instance, the square of the fictitious integer 5i is 25. Zero is regarded as both real and fictitious by definition.
You must first determine the polynomial's zeros using the method of your choice, and then combine the linear equations that result in those zeros. If you factor, you will arrive at the third degree polynomial, which must then be sorted through.
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the diffrence of 54 and 32 mutlipted by the diffrence of 8 and 5
Answer:
66
Step-by-step explanation:
the difference of 54 and 32 is 54 - 32 = 22
the difference of 8 and 5 is 8 - 5 = 3
then
22 × 3 = 66
Which algebraic expression has a term with a coefficient of 9
Answer:
an algebraic expression that has a term with a coefficient of 9 is
9(x +14)
9x + 126
Pls hurry im timed ...................................
Answer: 12 miles west
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Write each fraction as a decimal and as a percent.
Answer:
0.35 and 35%
Step-by-step explanation:
7/20=35/100
35/100=0.35=35%
A consumer group surveyed 146 airplane travelers after a flight and found that 132 of them would fly that airline again. Find the standard error for the sample proportion of airline travelers who would fly on that airline again. Enter your answer as a decimal rounded to three decimal places.
Answer:
\(\hat p =\frac{X}{n}\)
And replacing we got:
\(\hat p =\frac{132}{146}= 0.904\)
And for this case the standard error assuming normality would be given by:
\( SE= \sqrt{\frac{\hat p (1-\hat p)}{n}}\)
And replacing we got:
\(SE= \sqrt{\frac{0.904*(1-0.904)}{146}}= 0.024\)
Step-by-step explanation:
For this problem we know the following notation:
\( n= 146 \) represent the sample size selected
\( X= 132\) represent the number of airplane travelers who after a flight would fly that airline again
The estimated proportion for this case would be:
\(\hat p =\frac{X}{n}\)
And replacing we got:
\(\hat p =\frac{132}{146}= 0.904\)
And for this case the standard error assuming normality would be given by:
\( SE= \sqrt{\frac{\hat p (1-\hat p)}{n}}\)
And replacing we got:
\(SE= \sqrt{\frac{0.904*(1-0.904)}{146}}= 0.024\)
SHARE 300 USING 2:3:5
If we divide 300 into parts using the ratio 2:3:5, we get:
2 parts = 2/10 of the total ratio = 2/10 x 300 = 60
3 parts = 3/10 of the total ratio = 3/10 x 300 = 90
5 parts = 5/10 of the total ratio = 5/10 x 300 = 150
Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.
I hope I helped!
~~~Harsha~~~
please help i am on plato
Answer:
Choice A is correct.
Step-by-step explanation:
A function, by definition, only maps one output to one input. You can't have multiple outputs to one input. All the other choices do that, Choice A doesn't.
Answer:
A
Step-by-step explanation:
A function is where there are none of the x-intercepts are repeated. Answer A each has 4 x-intercepts, but none of them are repeated. All the other answers (B, C, and D) have an x-intercept that is repeated.
Hope this helps <3
please help me!!!!!!!
or
Look at this diagram:
M
N
O
P
Q
R
S
T
If
NP
and
QS
are parallel lines and mNOM = 130°, what is mPOM?
If NP and QS are parallel lines and ∠NOM = 130° then the value of ∠POM is 50°.
What is parallel line?Parallel lines are two or more lines in a plane that do not intersect, regardless of how far apart they are.
Despite being located at different distances from one another, parallel lines always have the same slope, which is the same steepness and direction.
Since NP and QS are parallel lines, we have:
∠NOM + ∠MOP = 180° (because NOM and MOP are on a straight line)
Also, the alternate interior angles NOM and POM are equal, so:
∠NOM = ∠POM
Substituting this into the first equation gives:
∠POM + ∠MOP = 180°
We can now solve for ∠POM by substituting the given value:
130° + ∠POM = 180°
∠POM = 50°
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Select the three equations that pass through the points (–4, –16) and (5, 2):
y + 4 = 2(x – 16)
y – 2 = 2(x – 5)
y = 2x – 8
y + 16 = 2(x + 4)
The equation of line passing through (-4, -16) and (5, 2) are y = 2x – 8, y - 2 = 2(x - 5) and y + 16 = 2(x + 4)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
The standard form for linear equation is:
y = mx + b
Where m is the slope and b is the y intercept
The equation of line passing through (5, 2) and (-4, -16) is:
y - 2 = [(-16-2)/(-4-5)](x - 5)
y - 2 = 2(x - 5)
y = 2x - 8
y + 16 = 2(x + 4)
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Which graphs show continuous data?
Select each correct answer.
HELP ME PLEASE!!!
Answer: the bottom two graphs show continuous data
Step-by-step explanation:
Mai runs 3 laps around the track in 4 minutes.
a. How many minutes per lap is that?
b. How many laps per minute is that?
C. . If Mai runs 21 laps at the
same rate, how long does it
take her?
Explain your reasoning
The total distance Mai runs is 400(4), so the distance equals 1,600 meters. If it takes her 250 meters per minutes, then if you divide 250 with 1600– it’ll take her 6.4 minutes
Find the balance earned on an account that has $60,000 deposited for 6 years at 1.125% interest compounded continuously? Please help
Answer:
The balance of the account is $64,190.
Step-by-step explanation:
The amount of money after t years of continous compounding is given by the following equation:
\(P(t) = P(0)e^{rt}\)
In which P(0) is the initial deposit and r is the interest rate, as a decimal.
$60,000 deposited for 6 years at 1.125% interest compounded continuously.
This means that \(P = 60000, r = 0.01125, t = 6\)
So
\(P(6) = 60000e^{0.01125*6} = 64190\)
The balance of the account is $64,190.
Find positive numbers x and y satisfying the equation xy=20 such that the sum 4x+y is as small as possible.
Determine if the described set is a subspace. Assume a, b, and c are real numbers. The subset of R3 consisting of vectors of the form a b c , where abc
This question is incomplete, the complete question is;
Determine if the described set is a subspace. Assume a, b, and c are real numbers.
The subset of R³ consisting of vectors of the form \(\left[\begin{array}{ccc}a\\b\\c\end{array}\right]\) , where abc = 0
The set is a subspaceThe set is not a subspace
Answer:
Therefore; The set is not a subspace
Step-by-step explanation:
Given the data the question;
the subset R³;
S = { \(\left[\begin{array}{ccc}a\\b\\c\end{array}\right]\) , where abc = 0 }
we know that a subset of R³ is a subspace if it stratifies the following properties;
it contains additive identityit is closed under additionit is closed under scales multiplicationLooking at the properties, we can say that it is not a subspace
As;
u = \(\left[\begin{array}{ccc}1\\1\\0\end{array}\right]\) ∈ S and v = \(\left[\begin{array}{ccc}0\\1\\1\end{array}\right]\) ∈ S
As 1×1×0=0 0×1×1=0
But u+v = \(\left[\begin{array}{ccc}1+0\\1+1\\0+1\end{array}\right] =\) \(\left[\begin{array}{ccc}1\\2\\1\end{array}\right]\) ∉ S as 1×2×1 ≠ 0
Hence, it is not closed under addition.
Therefore; The set is not a subspace
If there was a 15% increase in prices, how much would each
material cost? What would the new total be?
4x3 = -5x - 21 solve for x
To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:
1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:
4x3 + 5x = -21
2. Factor out x from the left-hand side of the equation:
x(4x2 + 5) = -21
3. Divide both sides by (4x2 + 5):
x = -21 / (4x2 + 5)
So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.
Hours of sleep per night for an adult are normally distributed with a mean of 7.2 hours
and a standard deviation of 1.9 hours. Sleep specialists consider people "chronically
sleep deprived" if their hours of sleep per night are in the bottom 4% of the population.
How many hours of sleep represents the cutoff for someone to be considered
"chronically sleep deprived?"
The cutoff for chronic sleep deprivation is approximately 3.525 hours per night, found using a z-score of -1.75 and formula for a z-score given mean and standard deviation.
What is standard deviation?
Standard deviation is a statistical measure of variability that quantifies how much the data points in a dataset differ from the average value. It is calculated as the square root of the variance.
What is mean?
Mean, also known as average, is a statistical measure of the central tendency or typical value of a set of numerical data. It is calculated by adding up all the values and dividing by the number of data points.
According to the given information:
Using the formula for a z-score:z = (x - μ) / σ
where z is the z-score, x is the number of hours of sleep, μ is the mean (7.2), and σ is the standard deviation (1.9).
Rearranging the formula to solve for x:
x = z * σ + μ
Substituting z = -1.75, σ = 1.9, and μ = 7.2, we get:
x = -1.75 * 1.9 + 7.2 ≈ 3.525
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Tinsley, Incorporated, wishes to maintain a growth rate of 14 percent per year and a debt-equity ratio of .5. The profit margin is 4.6
percent, and total asset turnover is constant at 1.16.
a. What is the dividend payout ratio?
Note: A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answer
as a percent rounded to 2 decimal places, e.g.. 32.16.
The dividend payout ratio is -53.43% when a growth rate of 14 percent per year and a debt-equity ratio of .5. The profit margin is 4.6
percent, and total asset turnover is constant at 1.16.
To calculate the ROE we would have to use the following formula:
ROE=Profit margin x Total asset turnover x Equity multiplier
ROE=0.046 x 1.16 x (1 +0.5)
ROE=0.08004
Therefore, dividend payout ratio would be calculated as follows:
0.14 = (0.08004 x dividend payout ratio) / [ 1 - (0.08004 x dividend payout ratio))
0.14 = 0.08004 x dividend payout ratio / (1 - 0.08004 dividend payout ratio)
0.14 - 0.0112056 dividend payout ratio = 0.08004 dividend payout ratio
0.14 = 0.0912456 dividend payout ratio
dividend payout ratio=1.53432
Therefore, dividend payout ratio=1-1.53432
dividend payout ratio=-53.43%
The dividend payout ratio is -53.43% when a growth rate of 14 percent per year and a debt-equity ratio of .5. The profit margin is 4.6
percent, and total asset turnover is constant at 1.16.
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It is a four digit number the last digit is twice the first digit the second and the third digits are the same the number formed by the last two digit is twice the number formed by the first two digits
The only four-digit number that satisfies all of these conditions is 4998.
We can make the setup thus:
a = 4b = c = 9d = 2aThe last digit (8) is twice the first digit (4).
The second and third digits (9) are the same.
The number formed by the last two digits (98) is twice the number formed by the first two digits (49).
Therefore, the only four-digit number that satisfies all of the given conditions is 4998.
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When a product fails to perform as warranted, this is called a) contractual liability. O b) product malfunction. c) malicious manufacture. d) breach of warranty
Answer:
d breach of warranty
Step-by-step explanation:
A theory for suing for damages caused by products is breach of warranty. This is a contract claim, and the purchaser of the product is claiming that the product failed to perform as warranted.