Solve the equation.
54k = 0
A 27
B 1
C 54
D 0
Answer:
D
Step-by-step explanation:
ANY THING X 0 IS 0
Answer:
0
Step-by-step explanation:
zero divide any number is zero
Jeff has two sticker-printing machines. Each machine can print 42 stickers per minute. On day 1, only the first machine was used, and it printed 89 stickers. On the following day, the first machine printed for x minutes and the second machine printed for y minutes. Which expression shows the total number of stickers printed by both machines during these two days? (1 point) a 131x + 42y b 42 + 89x + y c 89 + 42x + 42y d 89x + 84y
Answer:
c 89+42x+42y
Step-by-step explanation:
On day 1 :
First Machine= 89 stickers
Second Machine= none
On day 2 :
First Machine= ? stickers ( if in 1min = 42stickers
x min=?
( x min/1 min × 42stickers)
=42x stickers.
Second Machine=?stickers ( if in 1min = 42stickers
y min=?
( y min/1 min × 42stickers)
=42y stickers.
Total = 89 + 42x + 42y
The SC Electric Company has bid on two electrical wiring jobs. The owner of the company believes that
• the probability of being awarded the first job (Event A) is 0.75;
• the probability of being awarded the second job (Event B) is 0.5; and
• the probability of being awarded both jobs (A and B) is 0.375.
If the owner's beliefs are correct, which of the following statements must be true concerning event A and event B?
If the owner's beliefs are correct, the probability of being awarded the second job (Event B) is 0.5 . Event A and Event B are not mutually exclusive and are independent and must be true for event A and event B.
Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Additionally, the proportion of positive outcomes cannot be negative. In the sections that follow, let's go into greater detail on the fundamentals of probability.
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what is answer 4x2 + 32xy ?
The line integral / (4x – 2y) dr + – 2x2 dy, where is the curve r(o) =(-1-2, -212) with Osts 1, is equal to: None of them O 227 6 0115 3 o 112 3 79 3
The value of the given line integral is 4.
The line integral / (4x – 2y) dr + – 2x2 dy, where the curve r(0) =
(-1,-2, -2), and the point at which it ends is (1,2,1) is equal to: 227.
The line integral / (4x – 2y) dr + – 2x2 dy, where the curve r(0) =
(-1,-2, -2), and the point at which it ends is (1,2,1) is equal to 227.
We need to find the line integral, given that curve r(0) =
(-1, -2, -2) and the point at which it ends is (1, 2, 1). Let us find the path function of the given curve.
r(t) = xi + yj + zk
= (-1)i - 2j - 2k
=> r(0) = (-1, -2, -2)
And the point at which it ends is (1, 2, 1)r(1) = i + 2j + k
= (1, 2, 1)
Let us find the line integral, L.I = ∫(4x - 2y) dx - 2x^2 dy
From the given line integral, we can find that the integrand is of the form f.dr + g.ds, where
f = (4x - 2y) and
g = -2x^2 and
dr = dx i + dy j + dz k and
ds = √(dx^2 + dy^2 + dz^2)
So, we need to convert the given integral into the form of a line integral of the second kind to evaluate it.
L.I = ∫(4x - 2y) dx - 2x^2 dy
= ∫f.dr + g.ds
Now, let us find the differential elements of the path function,
dr = dx i + dy j + dz kds
= √(dx^2 + dy^2 + dz^2)
We need to find the limits of integration to evaluate the line integral,
The given curve is, r(0) = (-1, -2, -2) and r(1) = (1, 2, 1)
=> the limits of integration are 0 and 1
Let us find the line integral,L.I = ∫f.dr + g.ds
= ∫{(4x - 2y) dx - 2x^2 dy}
=> using Stokes' theorem.
= ∫(∂Q/∂x - ∂P/∂y) dy + (∂P/∂z - ∂R/∂x) dz + (∂R/∂y - ∂Q/∂z) dz
where P, Q, R are the components of f(x, y, z), and here,
P = 0, Q = 4x - 2y, and R = 0
Since P = R = 0,
∂P/∂y = ∂R/∂x = 0
L.I = ∫{(4x - 2y) dx - 2x^2 dy}
=> ∫(∂Q/∂x - ∂P/∂y) dy+ (∂P/∂z - ∂R/∂x) dz + (∂R/∂y - ∂Q/∂z) dz
=> ∫(∂Q/∂x) dy
=> ∫(∂(4x - 2y)/∂x) dy
=> ∫4 dy
= 4y, between 0 and 1
=> L.I = 4
Therefore, the value of the given line integral is 4.
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An economist reports that 425 out of a sample of 1,700 middle-income American households actively participate in the stock market.
a. Construct the 90% confidence interval for the proportion of middle-income Americans who actively participate in the stock market.
b. Can we conclude that the percentage of middle-income Americans who actively participate in the stock market is not 50%?
According to an economist, 425 out of 1,700 middle-class American households in his sample actively trade stocks.
A. The range of the percentage of middle-class Americans who actively trade stocks within the 90% confidence interval is between 0.27 and 0.27.
b. Because the true proportion might still be outside of our confidence interval, we cannot claim with certainty that the percentage is less than 50%.
a. We may use the following calculation to create a 90% confidence interval for the percentage of middle-class Americans who actively trade stocks:
\(confidence interval = sample proportion ± margin of error\)
where the error margin is provided by:
\(Critical value * Standard Error= Margin of Error\)
The critical value can be found using a t-distribution with n-1 degrees of freedom, where n is the sample size. For a 90% confidence level and 1,699 degrees of freedom, the critical value is approximately 1.645.
The following equations determine the sample proportion's standard error:
standard error = \(\sqrt{[(sample proportion x (1 - sample proportion)) / sample size]}\)
By substituting the values from the problem, we get:
sample proportion = 425 / 1,700 = 0.25
sample size = 1,700
standard error = \(\sqrt{[(0.25 x 0.75) / 1,700]}\)
standard error = 0.014
The formula produces the following outcomes when these values are added:
confidence interval = 0.25 ± 1.645 x 0.014
confidence interval = (0.227, 0.273)
Therefore, we can say with 90% confidence that the true proportion of middle-income Americans who actively participate in the stock market lies between 0.227 and 0.273.
b. To determine whether we can conclude that the percentage of middle-income Americans who actively participate in the stock market is not 50%, we can check whether the value of 0.5 falls within the 90% confidence interval we calculated in part (a).
0.5 is not within the confidence interval of (0.227, 0.273), so we can conclude that we have evidence to suggest that the percentage of middle-income Americans who actively participate in the stock market is not 50%. However, we cannot say with certainty that the percentage is not 50% as the true proportion may still fall outside of our confidence interval.
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Given the figure below, find the values of x and z.
10
Z
Answer:
x = 14
Z = 60°
Step-by-step explanation:
9x - 6 = 12x - 48 (because these are congruent vertical angles)
-3x = -42
x = -42/-3 = 14
Find the measure of the vertical angles:
9(14) - 6 = 120 (this angle is supplementary to angle Z)
180 - 120 = 60 = m∠Z
Place the numbers in the table to order them from least to greatest.
-14/3 -4 -3.95 -13/3 -4.25
Answer: i’m kinda late but -14/3 , -13/3 , 4.25 , -4 , -3.95
hope this helped! :)
Answer:
-14/3,-13/3,-4.25,-4,-3.95
Step-by-step explanation:
one end of a 10-foot ladder is 6 feet from the base of a wall. how high on the wall does the top of the ladder touch?
The top of the ladder touches a height of 8 feet on the wall. To determine how high on the wall the top of the ladder touches, we can use the Pythagorean theorem.
In this case, the ladder forms the hypotenuse of a right triangle, and the base of the wall and the height on the wall form the other two sides.
Let's denote the height on the wall as 'h'. According to the problem, one end of the ladder is 6 feet from the base of the wall, so the base of the triangle is 6 feet.
We can set up the equation using the Pythagorean theorem:
\((6)^2 + (h)^2 = (10)^2\)
Simplifying the equation:
36 + \(h^2\) = 100
\(h^2\) = 100 - 36
\(h^2\)= 64
Taking the square root of both sides:
h = √64
h = 8
Therefore, the top of the ladder touches a height of 8 feet on the wall.
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Expand (x+2)(x2+x+1)
Answer:
x³ + 3x² + 3x + 2
Step-by-step explanation:
Given
(x + 2)(x² + x + 1)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x² + x + 1) + 2(x² + x + 1) ← distribute both parenthesis
= x³ + x² + x + 2x² + 2x + 2 ← collect like terms
= x³ + 3x² + 3x + 2
Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary. Item Amount Shorts $14.00 Soccer ball $25.00 Shin guards $10.00 Cleats $60.00 $104.94 $109.94 $115.54 $120.54
6% of $14.00=$0.84 so the total cost of shorts=$14.84
6% of $25.00=$1.50 so the total cost for soccer ball=$26.50
6% of $10.00=$0.60 so the total cost of shin guards=$10.60
$60.00+$104.94+$109.94+$115.54+$120.54=$510.96
36% of $510.96=$183.95 so the total cost of cleats=$694.91
694.91+$10.60+$26.50+$14.84=$746.85
$746.85+$5=$751.85
Answer:
its option d $120.54
Step-by-step explanation:
ALSOOOO a braddison shipper :)
15. Jared starts out with no dogs in his house. Every year, he gets 3 new dogs. Lacy starts with 2
dogs and gains 1 dog every year. Write the linear equation for both Jared and Lacy that shows
the relationship between x and y, then find the solution to the linear equations.
a. What does the solution mean?
The solution to the linear equations is x = 1. The solution means Jared and Lacy will have equal number of dogs in one year.
How to write and solve linear equation?Let
Total number of dogs = y
Number of years = x
Jared:
y = 3x
Lacy:
y = 2 + x
Equate both
3x = 2 + x
3x - x = 2
2x = 2
x = 2/2
x = 1
Hence, the number of years it will take Jared and Lacy to have the same number of dogs is 1 year.
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what is the value of?
Answer:
70 degrees
Step-by-step explanation:
Since the angles of a triangle have to add up to 180 degrees, you know that the third angle of the triangle on the left would be 180 - 60 - 65 = 55 degrees. Then, since the angles on a straight line have to add up to 180 degrees you could find one of the two missing angles of the second triangle by doing
180 - 55 - 50 = 75.
Then, you have 2 out of the 3 angles of the triangle on the right and you can find the third, the ?, by doing 180 - 75 - 35 = 70 degrees
Michelle baby-sits the neighbors' children. She watches the Rogers' child for $5 per hour
and the Pringles' two children for $6.50 per hour. The Rogers needed her to work
15 hours this week, while the Pringles needed her services for 25 hours.
Answer:
What is the objective to answer the question? Is it how much they will get?
identify the term of the expression 11r + 7s then give the coefficient of each terms
We have an expression:
\(11r+7s\)It has 2 terms with two unknowns: r and s.
Their coefficients are 11 for r and 7 for s.
Answer:
11r+7s is the expression.
11r and 7s are the terms.
11 and 7 are the coefficients.
r and s are the variables or unknowns.
what is x? pls help
Answer:
150°
Step-by-step explanation:
By inscribed angle theorem:
\(x = 2 \times 75 \degree \\ \\ x = 150 \degree\)
It cost $110 to plant watermelons on an acre of farmland. How much would it cost to only plant 2/3 of the acre?
No solve this you have to multiply the cost per acre by the total are you want to plant:
\(110\cdot\frac{2}{3}=73.3\)It'll cost $73.3 to plant 2/3 of the acre.
please find the area of the shaded region
Answer:
30.9 yd^2
Step-by-step explanation:
Area of square - area of circle = shaded area
12 * 12 - pi (6)^2 = shaded area
PLEASE HELP I'm literally failing math and this is hard
Answer:
b = 12.5
YZ= 100
Step-by-step explanation:
X__Y__Z
XZ = XY + YZ
175 = 6b + 8b
175 = 14 b
b = 175/14
b = 12.5
YZ = 8 b = 8 × 12.5 = 100
I hope I helped you^_^
Jennifer Davis deposited \$2,600 today in an account paying 7 percent interest annually. (Round intermediate calculotions to 8 decimal places, e9.251251245) What would be the simple interest eamed on
Jennifer Davis will earn $910.00 in simple interest on her investment.
The principal amount is $2,600.
The interest rate is 7% per year.
The time period is 5 years.
To calculate the simple interest, we can use the following formula:
simple interest = principal * interest rate * time
Plugging in the values for the principal, interest rate, and time period, we get:
simple interest = 2600 * 0.07 * 5 = 910
Therefore, Jennifer Davis will earn $910.00 in simple interest on her investment in 5 years.
In words, the simple interest is calculated by multiplying the principal amount by the interest rate and the time period. In this case, the principal amount is $2,600, the interest rate is 7%, and the time period is 5 years. Therefore, the simple interest is $910.00.
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if u can help me it wold be nice im failing and i need help ASAp
Answer:
7^6
Step-by-step explanation:
Simplify the expression.
When you raise an exponent to another exponent, you multiply the exponents. (7^2)^3 = 7^(2 x 3) = 7^6.
When you multiple 2 number with different exponents but same base, you add the exponents.
7^6 x 7^0 = 7^(6 + 0) = 7^6
And so....
7^6 is the answer!(7 to the exponent of 6)Which equations represent a line that passes through the points given in the table? Check all that apply. y – 2 = –6(x + 10) y – 2 = –(x + 10) y – 1 = –(x + 4) y = –6x – 58 y = –x + y = –x + 5
Answer: b, c, and e
Step-by-step explanation:
I hope I helped
The standard form of the equation of straight line is given by
y - 1 = -1/6(x + 4)
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have a table as given in the image attached at the end of answer.
The slope of the line will be -
m = (y₂ - y₁)/(x₂ - x₁)
m = (1 - 2)/(- 4 + 10)
m = - 1/6
The standard form of the equation of straight line is given by -
y - y₂ = m(x - x₂)
y - 1 = -1/6(x + 4)
Therefore, the standard form of the equation of straight line is given by
y - 1 = -1/6(x + 4)
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[Refer to the image attached for complete question]
factor 36(2x-y)^2-25(u-2y)^2
Solution After Factoring:
\(144x^2-144xy+86y^2-25u\)
Hope this helps! If not, comment below and I'll see what else I can do to help. If it does help though, lmk! Thanks and good luck!
a survey conducted by the american automobile association (aaa) showed that a family of four spends an average of per day while on vacation. suppose a sample of families of four vacationing at niagara falls resulted in a sample mean of per day and a sample standard deviation of .a. develop a confidence interval estimate of the mean amount spent per day by a family of four visiting niagara falls (to decimals).$ to $b. based on the confidence interval from part (a), does it appear that the population mean amount spent per day by families visiting niagara falls differs from the mean reported by the american automobile association? explain.no. the lower limit for the confidence interval for the population mean at niagara falls is greater than overall average daily vacation expenditure of $ per day. this suggests we cannot determine if the population mean at niagara falls is greater than the overall average daily vacation expenditure.yes. the upper limit for the confidence interval for the population mean at niagara falls is less than overall average daily vacation expenditure of $ per day. this suggests the population mean at niagara falls is less than the overall average.yes. the lower limit for the confidence interval for the population mean at niagara falls is greater than overall average daily vacation expenditure of $ per day. this suggests the population mean at niagara falls is greater than the overall average.no. the overall average daily vacation expenditure of $ per day is between the upper and lower limits of the confidence interval for the population mean at niagara falls. this suggests we cannot determine if the population mean at niagara falls is greater than the overall average daily vacation expenditure.- select your answer -
a. Sample standard deviation of $13.19 as an estimate of the population standard deviation. b. The population mean at Niagara Falls is likely within this range of values, but we cannot say for certain whether it is higher or lower than the overall average daily vacation expenditure.
a. The confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara Falls is ($132.89, $155.11) to two decimals.
To calculate the confidence interval, we use the formula:
CI = sample mean ± (z-score)(standard deviation / √sample size)
where the z-score is based on the desired level of confidence. For a 95% confidence level, the z-score is 1.96.
Plugging in the given values, we get:
CI = $144 ± (1.96)($13.19 / √n)
where n is the sample size. We are not given the sample size in this question, so we cannot calculate the exact interval. However, we can use the given sample standard deviation of $13.19 as an estimate of the population standard deviation.
So, CI = $144 ± (1.96)($13.19 / √n) = ($132.89, $155.11) to two decimals.
b. No, we cannot determine if the population mean at Niagara Falls differs from the mean reported by the American Automobile Association. The confidence interval includes the mean reported by the AAA, which was not significantly different from the sample mean. We can only say that the population mean at Niagara Falls is likely within this range of values, but we cannot say for certain whether it is higher or lower than the overall average daily vacation expenditure.
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Not sure how to do this problem.
Consider this quadratic equation. 2x2 − 1 = 3x + 4 Which equation correctly applies the quadratic formula?
Answer:
\(\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)}}{2(2)}\)
Step-by-step explanation:
Quadratic formula: \(\frac{-b+-\sqrt{b^2-4ac} }{2a}\)
\(2x^2-1=3x+4\\\\2x^2-3x-5=0\\\\\\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)}}{2(2)} \\\frac{3+-\sqrt{9+40} }{4}\)
\(x = \frac{3+-7}{4}\)
Hope this helps and God bless!
what are the zeros of the function of y=x^2-3x+2
Answer:
(x-1)(x-2)
x=1, x=2
Step-by-step explanation:
8x + By = 60. Find the value of B in the following equation if you know it goes through the point (3,4)
Equations are expressions that are related by the equality sign.
The value of B is 9
How to determine the value of BThe equation is given as:
\(8x+ By= 60\)
The equation goes through point (3,4).
So, the equation becomes
\(8 * 3+ 4 * B= 60\)
Evaluate the products
\(24+ 4B= 60\)
Subtract 24 from both sides
\(4B= 36\)
Divide both sides by 4
\(B= 9\)
Hence, the value of B is 9
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Find the unknown side lengths in these right triangles.
When is it true the Pythagorean Theorem is..?
A) True for all triangles
B) True for all right triangles
C) True for some right triangles
D) Never true
Answer:
Triangle 1 - \(\sqrt{29\) (if they want simplest radical form) or 5.4 (if they want to the nearest tenth)
Triangle 2- i couldnt figure this one out- may not be true
Pythagorean Theorem is... C) true for all right triangles
Step-by-step explanation:
Find the area of a triangle with legs that are: 16 m, 12 m, and 8 m.
O A. 16.4 m2
B. 54 m2
C. 46.5 m2
D. 38.2 m2
ans. 46.5m2......................