Answer:
1) B
2) D
3) B
Step-by-step explanation:
For question 1:
Assuming that option B is \(x^3=1\), it is not a linear function.
Linear functions have equations that do not have exponents.
For question 2:
\(y=-(-4)+5\\\\y=4+5\\\\\boxed{y=9}\)
The option is D.
For question 3:
\(y=x+\frac{1}{4}\\\\ y=-\frac{1}{4}+\frac{1}{4}\\\\ \boxed{y=0}\)
The option is B.
Hope this helps.
a caramel corn company gives four different prizes, one in each box. they are placed in the boxes at random. find the average number of boxes a person needs to buy to get all four prizes.
This problem can be solved using the concept of the expected value of a random variable. Let X be the random variable representing the number of boxes a person needs to buy to get all four prizes.
To calculate the expected value E(X), we can use the formula:
E(X) = 1/p
where p is the probability of getting a new prize in a single box. In the first box, the person has a 4/4 chance of getting a new prize. In the second box, the person has a 3/4 chance of getting a new prize (since there are only 3 prizes left out of 4). Similarly, in the third box, the person has a 2/4 chance of getting a new prize, and in the fourth box, the person has a 1/4 chance of getting a new prize. Therefore, we have:
p = 4/4 * 3/4 * 2/4 * 1/4 = 3/32
Substituting this into the formula, we get:
E(X) = 1/p = 32/3
Therefore, the average number of boxes a person needs to buy to get all four prizes is 32/3, or approximately 10.67 boxes.
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Can someone help me with this problem please thank youu how do you do it ?
Answer:
A) x = 6 y = 6√3
Step-by-step explanation:
30-60-90 Triangle rule states that the hypothesis is 2x, the short leg is x, and the long leg is x√3. So, the short leg is 12/2 = 6, and the long leg is 6√3.
the perimeter of an equilateral triangle is 6cm find its area
Answer:
√3 cm
or
1.73 cm to the nearest hundredth.
Step-by-step explanation:
Each side must be 2 cm long
Using Heron's formula
Area = √(s(s-a)(s-b)(s-c) where s = semi-perimeter, a , b and c are the 3 side lengths.
So here s = 6/2 = 3 and all the sides = 2 so
Area = √(3(3-2)^3
= √3 cm.
Select the correct answer from the drop-down menu.
Compare the steps for constructing a perpendicular line to line ABthrough point C using a reflective device and using paper.
.C
A
When using paper to construct the perpendicular line, the paper is folded so that
line ABwill lie exactly on top of each other.
When using a reflective device to construct a line perpendicular to line AB, set one end of the device to coincide with
then swing the other end of the device so the reflection of line ABcoincides with
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and the two sides of
and
The C is perpendicular to AB
When using paper, the paper perpendicular te construct to is folded so that AB is divided equally and the two sides of. line AB will lie exactly on top of each other.
When using a reflective device to construct a live perpendicular to line AB, set One end of the device to coincide with point C, and then swing the other end of the device so that the reflection of line AB coincides with the midpoint of AB
The question is incomplete hence the complete question is shown here
Select the correct answer from the drop-down menu. Compare the steps for constructing a perpendicular line to line through point using a reflective device and using paper. , When using paper to construct the perpendicular line, the paper is folded so that and the two sides of line will lie exactly on top of each other. When using a reflective dewice to construct a line perpendicular to line , set one end of the device to coincide with , and then swing the other end of the device so the reflection of line coincides with.
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Answer:
I toke the test, I think the first one is A and B coincide
Step-by-step explanation:
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.
A. h(2) = 16
B. h(13) = 18
C. h(8) = 21
D. h(-3) = -1
Answer:h(13) = 18
Step-by-step explanation:
Bill is purchasing accordion lessons. There is a $20 materials fee and each lesson costs $15. Write an equation for the situation and then determine how many lessons Bill took if his total cost was $125.
Answer:
The equation is 20 + 15x. Bill took 7 lessons.
Step-by-step explanation:
Let x represent the number of lessons Bill take. Then,
the total cost = materials fee + (each lesson cost).x
Since the materials fee is $20 and each lesson costs $15
The total cost = 20 + 15x
Since Bill's total cost was $125:
→ 125 = 20 + 15x
→ 105 = 15x
→ x = 7
Tien bought movie tickets for herself and two of her friends. She paid $8.50 for each ticket. If Tien has $14.50 left, how much money did she have before she bought the movie tickets
Answer:
$23
Step-by-step explanation:
add:
14.50
+ 8.50
-------------
23.00
hope this helped!
Use the picture to solve for x
Answer:
x = 63
Step-by-step explanation:
2x - 6 = 120
2x = 126
x = 63
Answer:
x=63
Step-by-step explanation:
You put 2x-6=120. So 120+6 is 126. You then divide 126 by to and get 63.
13) rank in order, from largest to smallest, electric field strength at five points near an infinite plane of charge
The electric field strength decreases as the distance from the plane increases.
How to rank electric field strength at five points near an infinite plane of charge?The electric field strength near an infinite plane of charge is given by:
E = σ/2ε0
where E is the electric field strength, σ is the surface charge density of the plane, and ε0 is the electric constant.
The electric field strength at a point near the plane depends on the distance from the plane and the orientation of the point relative to the plane.
Assuming that the surface charge density is constant, we can rank the electric field strength from largest to smallest based on the distance from the plane:
Point closest to the plane
Point at a distance of 2 times the distance from point 1
Point at a distance of 3 times the distance from point 1
Point at a distance of 4 times the distance from point 1
Point at a distance of 5 times the distance from point 1
This is because the electric field strength decreases as the distance from the plane increases.
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What is the distance between (-2, 4) and (5, 4) on a coordinate grid?
Answer:
7 units
Step-by-step explanation:
(Background info, skip if not interested or needed for you)
The equation for distance on a cartesian plane coordinate system is based off the pythagorean theorem.
\(a^2 + b^2 = c^2\)
a and b being sides of a right triangle, c being the hypotenuse.
When we are solving for distance we are solving for c essentially.
\(c\) = \(\sqrt{a^2 + b^2}\)
Because a and b are side lengths of the right triangle, we need to find a way to find that in terms of coordinates. So here we might say that a is equal to the horizontal distance between the 2 points or Δx, and we would say that b is the vertical distance between the 2 points Δy.
(solutions)
So essentially distance is:
\(d = \sqrt{(x_2 - x_1)^2+ (y_2-y_1)^2 }\)
Now we just use the values given to us, and sub in the x and y values respectively.
(-2,4) \(x_1 = -2, y_1 = 4\)
(5,4)\(x_2 = 5, y_2 = 4\)
plug these values in:
\(d = \sqrt{((5) - (-2))^2+ (4-4)^2 } = \sqrt{(7)^2+ (0)^2 } = \sqrt{7^2 } = 7\)
Therefore the distance is 7 units.
Enter the missing numbers in the table to show the proportional relationship:
Solve for j.
-2j + 39 = 111
j=
Answer:
reeeeeerre
Step-by-step explanation:
Answer:
-2j+39=111=
-2j+39=111-39
-2j=72
-2j÷2=72÷2=
j=36
the answer is j=36
annual starting salaries for college graduates with degrees in business administration are generally expected to be between $42,000 and $55,400. assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. (round your answers up to the nearest whole number.) what is the planning value for the population standard deviation? (a) how large a sample should be taken if the desired margin of error is $500? (b) how large a sample should be taken if the desired margin of error is $200? (c) how large a sample should be taken if the desired margin of error is $100? (d) would you recommend trying to obtain the $100 margin of error? explain.
The planning value for the population standard deviation is estimated to be $3,350, and sample sizes of approximately 46, 566, and 2,262 would be needed to achieve desired margins of error of $500, $200, and $100, respectively.
(a) Desired margin of error = $500
The formula for the sample size required to estimate the population mean with a desired margin of error is:
n = (Z * σ / E)²
Where:
n = sample size
Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of 1.96)
σ = population standard deviation
E = desired margin of error
Since we don't have the actual population standard deviation, we can estimate it using the planning value.
Range of expected salaries = $55,400 - $42,000 = $13,400
Planning value for standard deviation = Range / 4 = $13,400 / 4 = $3,350
Substituting the values into the formula:
n = (1.96 * $3,350 / $500)² ≈ 45.96
Since we can't have a fraction of a sample, we need to round up to the nearest whole number.
Therefore, the sample size needed for a desired margin of error of $500 is 46.
(b) Desired margin of error = $200
Using the same formula:
n = (1.96 * $3,350 / $200)² ≈ 565.44
Rounding up to the nearest whole number, the sample size needed for a desired margin of error of $200 is 566.
(c) Desired margin of error = $100
Using the same formula:
n = (1.96 * $3,350 / $100)² ≈ 2,261.76
Rounding up to the nearest whole number, the sample size needed for a desired margin of error of $100 is 2,262.
(d) Would you recommend trying to obtain the $100 margin of error? Explain.
Obtaining a margin of error as low as $100 would require a sample size of 2,262. While this larger sample size may provide a more precise estimate, it also increases the cost and time required for data collection and analysis. Therefore, the decision to obtain such a small margin of error should be based on the practicality and resources available. It is important to consider the trade-off between the desired level of precision and the associated costs and efforts.
Therefore, the planning value for the population standard deviation is estimated to be $3,350, and sample sizes of approximately 46, 566, and 2,262 would be needed to achieve desired margins of error of $500, $200, and $100, respectively.
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How to solve this problem
Answer:
28
Step-by-step explanation:
After substituting -2 for m and 5 for n, the original expression becomes:
|(-2)^2 - 7| + (5)^2, or
|4 - 7| + 25 or
|-3| + 25 = 28
f(t)=3-5t find the slope of the graph of the function at the given point.
The slope for the function f(t) = 3 - 3/5t at point (3/5, 2) is 5/3.
What is slope?
A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
The given function is - f(t) = 3 - 3/5t.
The data points are - (3/5, 2)
Rewrite the function -
f(t) = 3 - 3/5 t^-1
Differentiate with respect to t. Use the difference rule.
d/dt (3) - d/dt (3/5 t^-1)
Use the constant rule and the constant multiple rule.
0 - 3/5 d/dt (t^-1)
Use the power rule.
-3/5(-1)t^(-1 - 1)
3/5t^-2
Now plug in 3/5 for t on the derivative in order to find the slope at point (3/5, 2).
3/5(3/5)^-2
3/5(5/3)^2
3/5 × 25/9
5/3
Therefore, the slope value is 5/3.
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Find the slope of the graph of the function at the given point.
Function Point f(t) = 3 - 3/5t (3/5, 2)
Solve for s.
S-1
2
+3
S
8. Find area of the shapes
The area of the diamond shape figure ABCD is approximately 331.95 square units.
How to find area?
To find the area of the diamond shape figure ABCD, we need to first find the length of the diagonals. Since we know that the opposite sides of a diamond shape are equal and parallel, we can divide the shape into two congruent triangles ABD and BCD.
Let's use the Pythagorean theorem to find the length of the diagonal AC, which is also the hypotenuse of the right-angled triangle ACD:
AC² = AD² + CD²
CD is half the length of BC, which is 12, so CD = 6. Substituting the values, we get:
AC² = 25² + 6²
AC²= 625 + 36
AC²= 661
AC = √661 ≈ 25.74
Similarly, we can find the length of the diagonal BD, which is also the hypotenuse of the right-angled triangle ABD:
BD²= AD² + AB²
AB is half the length of BC, which is 12, so AB = 6. Substituting the values, we get:
BD²= 25²+ 6²
BD² = 625 + 36
BD²= 661
BD = √661 ≈ 25.74
Now that we know the lengths of both diagonals, we can use the formula for the area of a diamond shape:
Area = (AC × BD) / 2
Substituting the values, we get:
Area = (25.74 × 25.74) / 2
Area ≈ 331.95
Therefore, the area of the diamond shape figure ABCD is approximately 331.95 square units.
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The table shows the total cost for different numbers of jackets. Number of jackets 2 5 7 Total cost ($) 46. 50 116. 25 162. 75 What is the cost of 3 jackets? Enter your answer in the box.
The cost price of 1 jacket is $23.25 and the cost price of 3 jackets is $69.75.
What is the cost price?Cost price is the total amount of money to produce a given product or provide a given service.
Given cost prices for jackets are,
Jackets Cost Price
2 46.5
5 116. 25
7 162. 75
We need to calculate the cost price of 3 jackets. First, we need to find out the cost price of one jacket.
\(2 \; \rm Jackets =\$ 46.50\)
\(1 \;\rm Jacket = \dfrac {\$46.50}{2}\)
\(1 \;\rm Jacket = \$ 23.25\)
Now the cost price of 3 jackets is given as,
\(3\;\rm Jackets = \$23.25 \times 3\)
\(3\;\rm Jackets = \$69.75\)
Hence we can conclude that the cost price of 3 jackets is $69.75.
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In AWXY, W = 4.8 inches, x = 7.2 inches and y=9.3 inches. Find the measure of ZW
to the nearest degree.
Answer:
31
Step-by-step explanation:
trust me
Answer:
31
Step-by-step explanation:
W=30.584≈31
A ball is thrown straight up into the air, 8 ft to a right of a house, which is represented by the origin on the coordinate plane. For which values of A, B, and C will Ax + By = C represent the line that includes the path of the ball, where x is the horizontal distance and y is the vertical distance, in feet, from the house?
The required values are A = 1, B = 0, and C = 8 because the equation for the thrown ball's path will be x = 8.
Let the vertical line be the y-axis and the horizontal line be the x-axis, the ball is thrown from a place that is parallel to the y-axis (8,0).
Because the house is the starting point and the ball is thrown from a position 8 feet to the right of the house,
As a result, the equation for the thrown ball's path will be x = 8.
Therefore, A = 1, B = 0 and C = 8.
Hence, the required values are A = 1, B = 0, and C = 8 because the equation for the thrown ball's path will be x = 8.
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3 points determine exactly one plane: true or false?
Answer:
True
Step-by-step explanation:
I looked it up
1.)3(x+2)=15
2.)2(x+5)=24
3.)6(x-9)=12
4.)2(3x+5)= -44
5.)5(4x-3)=11
6.)-3(2x+1)=21
7.)-9(x -4)=54
8.)7(x-4)-3=46
9.)2(3x-1)+3=21
10.)2(x+1)+3x=37
11.)12+4(2x+4)=68
12.)3x-2(6x-3)=42
The solution to the Equations is x = 3, x = 7, x = 11, x = -9, x = 1.3, x = -4, x = -4,x = -2,x = 11, x = 3.33,x = 7, x = 5,x = -4.
1. To solve 3(x+2)=15, we first distribute the 3 and get 3x + 6 = 15. Then, we subtract 6 from both sides and get 3x = 9. Finally, we divide both sides by 3 and get x = 3.
2. To solve 2(x+5)=24, we first distribute the 2 and get 2x + 10 = 24. Then, we subtract 10 from both sides and get 2x = 14. Finally, we divide both sides by 2 and get x = 7.
3. To solve 6(x-9)=12, we first distribute the 6 and get 6x - 54 = 12. Then, we add 54 to both sides and get 6x = 66. Finally, we divide both sides by 6 and get x = 11.
4. To solve 2(3x+5)= -44, we first distribute the 2 and get 6x + 10 = -44. Then, we subtract 10 from both sides and get 6x = -54. Finally, we divide both sides by 6 and get x = -9.
5. To solve 5(4x-3)=11, we first distribute the 5 and get 20x - 15 = 11. Then, we add 15 to both sides and get 20x = 26. Finally, we divide both sides by 20 and get x = 1.3.
6. To solve -3(2x+1)=21, we first distribute the -3 and get -6x - 3 = 21. Then, we add 3 to both sides and get -6x = 24. Finally, we divide both sides by -6 and get x = -4.
7. To solve -9(x-4)=54, we first distribute the -9 and get -9x + 36 = 54. Then, we subtract 36 from both sides and get -9x = 18. Finally, we divide both sides by -9 and get x = -2.
8. To solve 7(x-4)-3=46, we first distribute the 7 and get 7x - 28 - 3 = 46. Then, we combine like terms and get 7x - 31 = 46. Then, we add 31 to both sides and get 7x = 77. Finally, we divide both sides by 7 and get x = 11.
9. To solve 2(3x-1)+3=21, we first distribute the 2 and get 6x - 2 + 3 = 21. Then, we combine like terms and get 6x + 1 = 21. Then, we subtract 1 from both sides and get 6x = 20. Finally, we divide both sides by 6 and get x = 3.33.
10. To solve 2(x+1)+3x=37, we first distribute the 2 and get 2x + 2 + 3x = 37. Then, we combine like terms and get 5x + 2 = 37. Then, we subtract 2 from both sides and get 5x = 35. Finally, we divide both sides by 5 and get x = 7.
11. To solve 12+4(2x+4)=68, we first distribute the 4 and get 12 + 8x + 16 = 68. Then, we combine like terms x = 5.
12.To solve 3x - 2(6x - 3) = 42, we first distribute the -2 and get:3x - 12x + 6 = 42,9x + 6 = 42Then, we subtract 6 from both sides:-9x = 36Finally, we divide both sides by -9 and get:x = -4Therefore, the solution to the equation is x = -4.
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The solution to the algebraic expressions are:
1. x = 3
2. x = 7
3. x = 13
4. x = -9
5. x = 1.3
6. x = -4
7. x = -2
8. x = 11
9. x = 10/3
10. x = 5
11. x = 5
12. x = -4
How to solve Algebra Expressions?1. 3(x + 2) = 15,
Using distributive property, we get 3x + 6 = 15.
3x = 9
x = 9/3
x = 3
2. 2(x + 5) = 24
Using distributive property, we get:
2x + 10 = 24
2x = 14
x = 7
3. 6(x - 9) = 12
Using distributive property, we get:
6x - 54 = 24
6x = 78
x = 78/6
x = 13
4. 2(3x + 5) = -44
Using distributive property, we get:
6x + 10 = -44
6x = -54
x = -9
5. 5(4x - 3) = 11
Using distributive property, we get:
20x - 15 = 11
20x = 26
x = 1.3
6. -3(2x + 1) = 21
-6x - 3 = 21
-6x = 24
x = -4
7. -9(x - 4) = 54
Using distributive property, we get:
-9x + 36 = 54
-9x = 54 - 36
-9x = 18
x = -2
8. 7(x - 4) - 3 = 46
Using distributive property, we get:
7x - 28 - 3 = 46
7x = 77
x = 11
9) 2(3x - 1) + 3 = 21
Using distributive property, we get:
6x - 2 + 3 = 21
6x = 20
x = 20/6
x = 10/3
10) 2(x + 1) + 3x = 37
2x + 2 + 3x = 37
5x = 35
x = 5
11) 12 + 4(2x + 4) = 68
12 + 8x + 16 = 68
8x = 40
x = 5
12) 3x - 2(6x - 3) = 42
3x - 12x + 6 = 42
6 - 9x = 42
9x = -36
x = -36/9
x = -4
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solve multi-step equation 3x + 2 = 14 - 3
ANSWER
My Answer is in the photo above
3x + 2 = 14 -3
or, 3x = 14-3-2
or, 3x = 9
or, x = 9/3 = 3
The answer is 3.
Please mark me Brainliest if you like my answer.
A circular table top has a radius of 60cm. A force of 650N is applied to the whole table top. Calculate the pressure in N/m to 4sf
Answer:
i hope its understood....
Given loga (m) = 10 and loga (n) = 25 , find loga (m * n ^ 2)
The result of the log function \(log_a (m * n ^ 2)\) is 60
According to the law of logarithm if \(log_ab=y\) then \(b=a^y\)
Given the following expressions
\(log_am=10\\log_an=25\)
This can be expressed as
\(m =a^{10} \ and \ n = a^{25}\)
Substitute the value of m and n into the expression \(log_a (m * n ^ 2)\) to have:
\(log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60\)
This shows that the result of the log function \(log_a (m * n ^ 2)\) is 60
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In the presence of multicollinearity, the predicted values of y are actually quite good for values of x far outside the range of the sampled values of x. True False
False. In the presence of multicollinearity, the predicted values of y can be unreliable for values of x far outside the range of the sampled values of x. Multicollinearity occurs when there is a high correlation between independent variables, making it difficult to determine the true effect of each variable on the dependent variable. This can result in unstable and inconsistent coefficient estimates, which in turn can lead to inaccurate predictions for values of x that are not in the original sample range. Therefore, it is important to address multicollinearity in the data before making predictions and drawing conclusions.
Multicollinearity can have a significant impact on the accuracy of predicted values in regression analysis. It can lead to unstable and inconsistent coefficient estimates, which can result in unreliable predictions. In the presence of multicollinearity, the standard errors of the regression coefficients can become inflated, which makes it difficult to determine the true effect of each independent variable on the dependent variable. This can lead to overestimation or underestimation of the coefficients, and ultimately inaccurate predictions.
In summary, the statement that the predicted values of y are actually quite good for values of x far outside the range of the sampled values of x in the presence of multicollinearity is false. Multicollinearity can cause unstable and inconsistent coefficient estimates, which can lead to inaccurate predictions. Therefore, it is important to address multicollinearity in the data before making predictions and drawing conclusions.
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3 James completely covered a square poster board using 68.2 in. of cardstock. Which measurement is
closest to one side of the poster board in inches?
a. 34 in.
b.8 in.
c. 6 in.
d.30 in.
I NEEP HELPP FAST
Answer:
8 in
Step-by-step explanation:
Area of a square = l×w
Since it is a square then l and w are equal to each other.
So we can instead just say l^2 = A
l^2 = 68.2
l = square root of 68.2
l = 8.26
how to solve this one
A dotted line is not included in the solution so there is no equal sign.
The blue area is to the right of the dotted line so the solution is >
The line crosses the x axis at -2
The answer is : x-y > -2
y>-3
What is This inequality represented on a graph
how many non-similar triangles have angles whose degree measures are integers in arithmetic progression?
Angles in 59 non-similar triangles having degree measures that are integers via arithmetic progression.
Let the summation of the angle values be: Using arithmetic progression & triangle knowledge, letting the sum of the angle values be:
∑degree = 180
For an odd arithmetic progression with a strange number of words, the median term is equivalent to the average of both the sum of all terms:
An arithmetic sequence's nth term,
Let the initial triangle angle =a
Let d be a common difference.
Because the angles' measurements follow an arithmetic progression \(T_{n}\) = a + (n - 1) × d
a + (a + d) + (a + 2d) = 180
3a+3d=180
a+d=60
Because an or d cannot be identical to zero, the minimum and maximum possible values for a and d are 1 and 59, respectively.
As a result, there are 59 distinct triangles.
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