Answer:
c
Step-by-step explanation:
Answer:
The answer is C. She saves $150 every month
Step-by-step explanation:
1 point If the distance from A(1, 6) to B(x, -2) is 10, then what is a possible value for x? (A) 11 (B) -5 (C) -7 (D) 8 (E) 6
Answer:
B
Step-by-step explanation:
calculate the distance between A and B using the distance formula
d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = A (1, 6 ) and (x₂, y₂ ) = B (x, - 2 )
d = \(\sqrt{(x-1)^2+(-2-6)^2}\)
= \(\sqrt{(x-1)^2+(-8)^2}\)
= \(\sqrt{(x-1)^2+64}\)
given AB = 10, then equating gives
\(\sqrt{(x-1)^2+64}\) = 10 ( square both sides to clear the radical )
(x - 1)² + 64 = 10² = 100 ( subtract 64 from both sides )
(x - 1)² = 36 ← take square root of both sides
x - 1 = ± \(\sqrt{36}\) = ± 6 ( add 1 to both sides )
x = 1 ± 6
then
x = 1 - 6 = - 5
x = 1 + 6 = 7
from the list then x = - 5 is a possible value
I need to solve for h. V=1/3 s square h
Since the given equation is
\(V=\frac{1}{3}sh^2\)We need to solve for each, then
We have to isolate h on one side and the other terms on the other side
Then multiply both sides by 3
\(\begin{gathered} (3)\times V=\frac{1}{3}\times(3)sh^2 \\ 3V=sh^2 \end{gathered}\)Now, divide both sides by s
\(\begin{gathered} \frac{3V}{s}=\frac{sh^2}{s} \\ \frac{3V}{s}=h^2 \\ h^2=\frac{3V}{s} \end{gathered}\)Take a square root for both sides
\(\begin{gathered} \sqrt[]{h^2}=\pm\sqrt[]{\frac{3V}{s}} \\ h=\pm\sqrt[]{\frac{3V}{s}} \end{gathered}\)From population of size 500. random sample of 50 items is selected. The mode of the sample
a. can be larger. smaller Or equal to the mode of the population:
b. must be equal to the mode of population; if the sample is truly random;
c. must be equal to the mean of the population, if the sample is truly random:
d. must be 500
The correct statement regarding the mode of the sample is given as follows:
a. can be larger, smaller or equal to the mode of the population.
What is the mode of a data-set?The mode of a data-set is the observation that appears the most often in the data-set.
The mode of the sample is simply the most frequently occurring value in the sample. It is not necessarily expected to be the same as the mode of the population, which is the most frequently occurring value in the entire population.
As a sample is a group taken from an entire population, the observation that appears the most in the sample can be different from the more common observation in the population,
Hence, option (a) is correct.
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At the deli, Alberto paid $24.33 for 7.4
pounds of sliced ham. What was the
price of one pound of sliced ham?
Answer:
About $3.28
Step-by-step explanation:
Divide 24.33 by 7.4
Answer:
3.28783783784...
Step-by-step explanation:
You're description could turn into 24.33 : 7.4.
You turn 7.4 into 1, and divide 7.4 / 1.
(It is 7.4)
Then, you divide 24.33 / 7.4.
It is 3.28783783784.......
or, If you want you're answer close to an natural number, It is 3.
find the approximations t10, m10, and s10 for 0 8 sin(x) dx. (round your answers to six decimal places.
The correct answer is Using numerical integration techniques:Approximation using the Trapezoidal Rule (t10) is approximately [2.763211].Approximation using the Midpoint Rule (m10) is approximately [2.079728].Approximation using Simpson's Rule (s10) is approximately [2.094395].
To approximate the values of t10, m10, and s10 for the integral 0 to 8 sin(x) dx, we can use numerical integration techniques, such as the Trapezoidal Rule, Midpoint Rule, and Simpson's Rule.
Trapezoidal Rule (t10):
The Trapezoidal Rule estimates the integral by approximating the area under the curve using trapezoids. The formula for the Trapezoidal Rule is given by:
t10 = (b - a) * [(f(a) + f(b)) / 2 + ∑(f(xi))] / n
where a and b are the limits of integration (0 and 8 in this case), f(x) is the function (sin(x) in this case), xi are the equally spaced points between a and b, and n is the number of intervals.
Using n = 10, we can calculate t10:
t10 ≈ (8 - 0) * [(sin(0) + sin(8)) / 2 + ∑(sin(xi))] / 10
Midpoint Rule (m10):
The Midpoint Rule estimates the integral by approximating the area under the curve using rectangles. The formula for the Midpoint Rule is given by:
m10 = (b - a) * ∑(f(xi + h/2)) / n
where a, b, f(x), xi, and n have the same meanings as in the TrapezoidalRule, and h is the width of each interval (h = (b - a) / n).
Using n = 10, we can calculate m10:
m10 ≈ (8 - 0) * ∑(sin(xi + (8 - 0) / (2 * 10))) / 10
Simpson's Rule (s10):
Simpson's Rule estimates the integral by approximating the area using parabolic arcs. The formula for Simpson's Rule is given by:
s10 = (b - a) * [f(a) + 4 * ∑(f(xi)) + 2 * ∑(f(x2i)) + f(b)] / (3 * n)
where a, b, f(x), xi, and n have the same meanings as in the Trapezoidal Rule, and x2i represents the points with an even index.
Using n = 10, we can calculate s10:
s10 ≈ (8 - 0) * [sin(0) + 4 * ∑(sin(xi)) + 2 * ∑(sin(x2i)) + sin(8)] / (3 * 10)
By evaluating these formulas using numerical methods and rounding the results to six decimal places, you can find the approximations t10, m10, and s10 for the given integral 0 to 8 sin(x) dx.
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HELLO HELP ASAP ATTACHING PIC BELOW ITS KHAN
Answer:
a
Step-by-step explanation:
the graphic is step by step
Answer:
A
Step-by-step explanation:
Since the first number to the problem is -4, you start at -4 on the number line. The next number is +7.5 so you would move 7.5 spaces to the right on your number line. Finally, where you land would be your answer.
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suppose a university has only one women's softball scholarship remaining for the coming year. the final two players that the university is considering are allison fraley and emily janson. the coaching staff has concluded that the speed and defensive skills are virtually identical for the two players, and that the final decision will be based on which player has the best batting average. cross tabulations of each player's batting performance in their junior and senior years of high school are as follows. outcome allison feeley junior senior hit 15 76 no hit 25 175 total at-bats 40 251 outcome emily janson junior senior hit 71 35 no hit 130 85 total at-bats 201 120 a player's batting average is computed by dividing the number of hits a player has by the total number of at-bats. batting averages are represented as a decimal number with three places after the decimal. (round your answers to three decimal places.) (a) calculate the batting average for each player in her junior year. allison feeley emily janson calculate the batting average of each player in her senior year. allison fealey emily janson using this analysis, which player should be awarded the scholarship? explain. because ---select--- had the higher batting average in both her junior year and senior year, ---select--- should receive the scholarship offer. (b) combine or aggregate the data for the junior and senior years into one crosstabulation. outcome player fealey janson hit no hit total at-bats calculate each player's batting average for the combined two years. (round your answers to three decimal places.) allison fealey emily janson using this analysis, which player should be awarded the scholarship? explain. because ---select--- has the higher batting average over the combined junior and senior years, ---select--- should receive the scholarship offer. (c) are the recommendations you made in parts (a) and (b) consistent? explain any apparent inconsistencies. the recommendations in parts (a) and (b) ---select--- consistent. this is an example of ---select--- . it shows that in interpreting the results based upon separate or un-aggregated crosstabulations, the conclusion can be ---select--- when the crosstabulations are grouped or aggregated.
The recommendations in parts (a) and (b) are not consistent. This is the best example of Simpson’s Paradox.
(a) Allison Feeley's junior year batting average: 15/40 = 0.375 Emily Janson's junior year batting average: 71/201 = 0.353 Allison Feeley's senior year batting average: 76/251 = 0.302 Emily Janson's senior year batting average: 35/120 = 0.292
Using this analysis, Allison Feeley should be awarded the scholarship, as she has the higher batting average in both her junior and senior years.
(b) Outcome: Player | Hit | No Hit | Total At-Bats Fealey | 91 | 200 | 291 Janson | 106 | 215 | 321
Allison Fealey's combined two years batting average: 91/291 = 0.313 Emily Janson's combined two years batting average: 106/321 = 0.331
Using this analysis, Emily Janson should be awarded the scholarship, as she has the higher batting average over the combined junior and senior years.
(c) The recommendations in parts (a) and (b) are not consistent. This is an example of Simpson's Paradox, it shows that in interpreting the results based upon separate or un-aggregated crosstabulations, the conclusion can be different when the crosstabulations are grouped or aggregated.
Therefore, [a] and [b] are not consistent according to Simpson’s Paradox.
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The recommendations in parts (a) and (b) are not consistent. This is the best example of Simpson’s Paradox.
a) Allison Feeley's junior year batting average: 15/40 = 0.375 Emily Janson's junior year batting average: 71/201 = 0.353 Allison Feeley's senior year batting average: 76/251 = 0.302 Emily Janson's senior year batting average: 35/120 = 0.292
Using this analysis, Allison Feeley should be awarded the scholarship, as she has the higher batting average in both her junior and senior years.
(b) Outcome: Player | Hit | No Hit | Total At-Bats Fealey | 91 | 200 | 291 Janson | 106 | 215 | 321
Allison Fealey's combined two years batting average: 91/291 = 0.313 Emily Janson's combined two years batting average: 106/321 = 0.331
Using this analysis, Emily Janson should be awarded the scholarship, as she has the higher batting average over the combined junior and senior years.
(c) The recommendations in parts (a) and (b) are not consistent. This is an example of Simpson's Paradox, it shows that in interpreting the results based upon separate or un-aggregated crosstabulations, the conclusion can be different when the crosstabulations are grouped or aggregated.
Therefore, [a] and [b] are not consistent according to Simpson’s Paradox.
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Suppose that an individual has a body fat percentage of 19.3% and weighs 187 pounds. How many pounds of her weight is made up of fat? Round your answer
to the nearest tenth.
Answer:
The individual has 36.09 pounds of body fat.
Step-by-step explanation:
Given that an individual has a body fat percentage of 19.3% and weighs 187 pounds, to determine how many pounds of her weight is made up of fat the following calculation must be performed:
(187 x 19.3) / 100 = X
3.609.1 / 100 = X
36.091 = X
Therefore, the individual has 36.09 pounds of body fat.
Mathematical simulation techniques use probabilities and either a random number table or computer software to create conditions similar to those of real-life situations. These techniques are very useful in studying activities that are too expensive, too dangerous, or too time-consuming to actually perform. In addition, simulation is useful in estimating probabilities that are too difficult to calculate exactly.
General simulation procedure
A. Use known probabilities to assign numerical digits to all possible outcomes.
B. Choose an appropriate collection of numbers from the random number table to imitate one run of the activity.
C. Repeat the simulated activity as needed.
Examples
1. Cam Newton has completed 60% of his passes in the NFL. To simulate the result of one pass by Newton, we could assign digits in the following way:
= complete pass
= incomplete pass
Use Line 109 of the random number table (shown below) to simulate 20 passes by Newton. Then answer the questions which follow using the results of the simulation.
109 36009 19365 15412 39638 85453 46816 83485 41979
a. On which pass did Newton have his fifth completion? ________
b. What percentage of the passes did Newton complete?
c. Why wasn't the answer to part b guaranteed to be 60%?
2. Brett Favre completed 62% of his passes in the NFL:
a. State an appropriate assignment of digits to simulate the result of one pass.
= complete pass
= incomplete pass
b. Use Line 109 of the random number table (shown below) to simulate 20 passes by Favre, and determine how many of the 20 passes Favre would complete.
109 36009 19365 15412 39638 85453 46816 83485 41979
When an activity consisting of multiple trials is simulated, the assumption is that the trials are independent. Two trials are independent if the result of one trial has no influence on the probabilities of the possible outcomes of the other trial.
Examples
o Suppose that one activity consists of flipping a coin and tossing a die. Flipping a coin and tossing a die are independent because the result of the coin flip has no effect on what will happen during the toss of the die.
o Suppose that another activity consists of drawing two cards from a standard deck, one after the other, without replacement. Drawing the first card and drawing the second card are not independent trials since the result of the first draw affects the likelihood of what is drawn for the second card.
a. Newton had his fifth completion on the fourth pass.
b. Newton completed 25% of the passes (5 out of 20).
c. The answer to part b is not guaranteed to be 60% because simulation involves the use of random numbers, which introduce an element of uncertainty.
a. To determine on which pass Newton had his fifth completion, we count the number of completed passes in the simulation. Since Newton had a total of 5 completions, we look for the fourth pass where the completion occurs.
b. To calculate the percentage of passes completed by Newton, we divide the number of completions (5) by the total number of passes simulated (20) and multiply by 100. This gives us a completion percentage of 25%.
c. The answer to part b is not guaranteed to be 60% because simulation relies on the use of random numbers. The simulation mimics real-life situations by assigning probabilities to different outcomes and using random number selection to imitate the events. However, the randomness introduces uncertainty, meaning that the outcome of the simulation may not precisely match the known probability. In this case, the simulation is an approximation of the true completion percentage and can vary from the actual value of 60%.
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Find the exact values of x and y.
13 and 13√2 is the value of x and y in the given diagram
Trigonometry identityThe given diagram is a right triangle, we need to determine the value of x and y.
Using the trigonometry identity
tan45 = opposite/adjacent
tan45 = x/13
x = 13tan45
x = 13(1)
x = 13
For the value of y
sin45 = x/y
sin45 = 13/y
y = 13/sin45
y = 13√2
Hence the exact value of x and y from the figure is 13 and 13√2 respectively.
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simplify the expression and state any excluded value(s).
3a+15/a^2-25
Answer:
Step-by-step explanation:
3a + 15 / a^2 - 25 = 3(a + 5) / (a - 5)(a + 5) = 3 / a - 5
a ≠ 5 and -5
50 POINTS. The function f(x)=x+4−−−−−√3 is transformed to f(x)=x−1−−−−−√3+3.
What transformations are performed from function f to function g?
Choose each correct answer.
Responses
Function f is translated to the right 3 units.
Function , f , is translated to the right 3 units.
Function f is translated down 1 unit.
Function , f, is translated down 1 unit.
Function f is translated up 3 units.
Function , f , is translated up 3 units.
Function f is translated to the right 5 units.
Function f(x) is translated to the right 5 units.
What is dilation?resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ. A dilatation ought to either extend or contract the original form. The scale factor is a phrase used to describe this transition.
The scale factor is defined as the difference in size between the new and old images. An established location in the plane is the center of dilatation. The dilation transformation is determined by the scale factor and the center of dilation.
The function f(x)=∛x+4 is transformed to f(x)=∛(x−1) +3.
Putting the values in the graph we see that mid points of both the graphs are:
\(\left(-4,\ 0\right)\) original function
\(\left(1,\ 3\right)\) transformed function
x₁ ⇒ x₂ and y₁ ⇒ y₂ is the transformation
here,
-4 ⇒ 1
= +5 (positive symbol means to the right)
and
0 ⇒ 3
= +3 (positive symbol means to upward direction)
Thus, Function F translated to up 3 units and translated right 5 units
Hence, Function f is translated to the right 5 units.
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.......................
Answer:
hi
Step-by-step explanation:
Josiah plants vegetable seeds in rows. Each row has the same number of seeds in it. He plants more than one row of seeds. What could be the total number of seeds he plants?
The total number of seeds that Josiah would plant would be = nR×S
How to determine the total number of seeds that Josiah will plant?To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.
Let each row be represented as = nR
Where n represents the number of rows planted by him.
Let the seed be represented as = S
The total number of seeds he planted = nR×S
Therefore, the total number of seeds that was planted Josiah would be = nR×S.
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A gardener has two different strengths of weedkiller: a 6% solution and a 15% solution, some of each solution needs to be mixed together to make 30 litres of a 10% solution. How much of each kind of solution is required?
Answer:
Approximately 16.67 liters concentration of the 6% solution and approximately 13.33 liters of the 15% solution are required to make 30 liters of a 10% solution.
Step-by-step explanation:
Let's denote the amount of the 6% solution as x liters and the amount of the 15% solution as y liters. We need to find the values of x and y that satisfy the conditions.
Since we want to make 30 liters of a 10% solution, we can set up the following equations:
Equation 1: x + y = 30 (total volume equation)
Equation 2: (0.06x + 0.15y) / 30 = 0.10 (concentration equation)
From Equation 1, we have x = 30 - y. Substituting this into Equation 2, we get:
(0.06(30 - y) + 0.15y) / 30 = 0.10
Simplifying the equation gives:
(1.8 - 0.06y + 0.15y) / 30 = 0.10
1.8 + 0.09y = 3
0.09y = 1.2
y ≈ 13.33
Substituting y back into Equation 1, we find:
x + 13.33 = 30
x ≈ 16.67
Therefore, approximately 16.67 liters of the 6% solution and approximately 13.33 liters of the 15% solution are required to make 30 liters of a 10% solution.
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What is the value of xin the diagram below?
O A. 6
O B. 7
O C. 8
D. 9
Answer:
it should be 9 because 12÷6 givss you 2 so 54÷6 gives you 9
what is the probability that more than 5 patients arrive at the hospital with flu-like symptoms between 12:00pm and 12:20pm?
Answer: X 0 1 2 3 4 5 6 7 8 P(X=k) 0.05 0.07 0.13 0.12 0.20 0.25 0.07 0.03 0.08 the probability that more than 5 patients arrive at the hospital
What is the probability that more than 5 patients arrive at the hospital with flu-like symptoms between 12:00pm and 12:20pm?
Step-by-step explanation:
Group of answer choices
A. 0.43
B. 0.18
C. 0.82
D. 1
Part two of the question:
using the same information as stated before,
Match the probability statements with the correct probabilities.
(choose one answer)
The probability that X is less than or equal to 5.
A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52
The probability that X is greater than 7.
A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52
The probability that X is between 3 (noninclusive) and 7 (noninclusive).
A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52
The probability that no patients arrive in that interval.
A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52
Find the sum.
b/ b^2+4b+4 + 9/b^2+7b+10
Answer:
11b^3+14b^2+b+9
---------------------------
b2
Step-by-step explanation:
Am I supposed to multiply 3/2?
Answer:
yes you are supposed to multiply 3/2. Good luck
Step-by-step explanation:
Help me solve this pls
Answer:
BC=40.16479
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 17 = BC / 42
42 cos 17 = BC
BC=40.16479
Imagine that r1 is a well-founded relation on a and r2 is a well-founded relation on b. Prove that the lexicographic ordering on pairs ( a,b) is well-founded. The lexicographic ordering says that the pair ( x
−
1, y
−
1 ) is below the pair (x_2, y
−
2 ) if either - r1×1×2, or - x1=x2 and r2y1y2 You should first define the lexicographic ordering and then prove well-foundedness.
The lexicographic ordering on pairs (a,b) is well-founded, assuming that r1 is a well-founded relation on a, and r2 is a well-founded relation on b. The lexicographic ordering is defined as the pair (x1, y1) is less than the pair (x2, y2) if either x1 < x2, or (x1 = x2 and y1 < y2).
Now let's prove it is well-founded:
Let (a1, b1), (a2, b2),... be an infinite sequence of pairs of elements. Since r1 is well-founded, there exists an a such that (a, a1), (a, a2),... is a r1-chain.
Then since r2 is well-founded, there must exist a pair (a, bj) that is minimal with respect to r2.Now we have two cases:
Case 1:
For some i, (ai, bi) is less than (a, bj).
Then, we have that (a1, b1), (a2, b2),... (ai−1, bi−1), (a, bj), (ai+1, bi+1),... is a well-ordering chain of pairs of elements under the lexicographic ordering.
Case 2:
(ai, bi) is greater than or equal to (a, bj) for all i.In this case, we have that (a, bj) is a minimal element in the infinite sequence of pairs of elements under the lexicographic ordering.
Hence, the lexicographic ordering is well-founded.
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Question 12 Tony bought a tomato plant. When he bought it, he measured it to be 8 inches tall . Each week he measured it again and noticed that it was 2 inches taller every time. Create a graph to model the situation. Letx be the number of weeks and let y be the total height weeks of the plant. #
Okay, here we have this:
Considering the provided information we obtain that the slope is 2, and the y-intercept is 8, so we following function:
y=2x+8
Where x represents the number if weeks and y the total height.
Graphing we obtain:
Let f(x) = 2x² - 3x and g(x) = 5x - 1.
Find g[f(2)].
g[f(2)] =
Answer:
Step-by-step explanation:
To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).
Let's start by finding f(2):
f(x) = 2x² - 3x
f(2) = 2(2)² - 3(2)
= 2(4) - 6
= 8 - 6
= 2
Now that we have the value of f(2) as 2, we can substitute it into g(x):
g(x) = 5x - 1
g[f(2)] = g(2)
= 5(2) - 1
= 10 - 1
= 9
Therefore, g[f(2)] is equal to 9.
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Let f be the function with derivative given by f′(x)=x2−a2=(x−a)(x+a), where a is a positive constant. Which of the following statements is true?
A) f is decreasing for −a
B) f is decreasing for x<−a and x>a because f′(x)<0 for x<−a and x>a.
C) f is decreasing for x<0 because f′(x)<0 for x<0.
D) f is decreasing for x<0 because f′′(x)<0 for x<0.
C) f is decreasing for x<0 because f′(x)<0 for x<0. , we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.
The derivative of f is f′(x)=x2−a2=(x−a)(x+a).
This implies that f′(x)<0 when x<−a or x>a. From the derivative, we can deduce that f is decreasing for x<0 because f′(x)<0 for x<0.
The derivative of the function f is f′(x)=x2−a2=(x−a)(x+a), where a is a positive constant. This means that the derivative is negative when x<−a or x>a. We can use this information to determine the behavior of the function. Since the derivative is negative when x is less than zero, we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.
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A house costs $18,000, which is 9/10 the cost of a car. A motorcycle costs 1/5 the cost of the car, or 4/5 the cost of 100 cards. How much is the cost of 30 cards?
PLZ PLZ PLZ PLZ PLZ HELP!!!!!!!!!!!!!
7(8i+9) (Show work please)
In parallelogram HIJK, the measurement of angle H is 45 degrees, find the measure of angle J.
Answer:
∠ J = 45°
Step-by-step explanation:
In a parallelogram , opposite angles are congruent.
∠ H and ∠ J are opposite angles , thus
∠ J = ∠ H = 45°
The measure of angle J in parallelogram HIJK is 45°
A parallelogram is a quadrilateral (four sides and four angles) in which opposite sides are parallel and equal to each other. Opposite angles of a parallelogram are congruent to each other.
∠H = ∠J (Opposite angles of a parallelogram are congruent)
∠J = 45°
The measure of angle J in parallelogram HIJK is 45°
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help me pls i dont understand
The graphs of y=f(x) and g(x) are shown below: a: -5 and 6 b: 4 and 7 c: -3,-1, and 4 d: -3,1,3 and 5
Han has 410000 in a retirement account that earns 15785 each year. Find the simplest interest
Han's retirement account earns $247,163.25 in simple interest.
To find the simplest interest, we need to use the formula:
Simple Interest = Principal × Rate × Time
In this case, the Principal is $410,000 and the Rate is $15,785 per year. We don't know the time period, but we can solve for it using the formula:
Time = Simple Interest ÷ (Principal × Rate)
Plugging in the values, we get:
Time = $15,785 ÷ ($410,000 × 1) = 0.0385 years
Therefore, the simplest interest is:
Simple Interest = $410,000 × $15,785 × 0.0385 = $247,163.25
So Han's retirement account earns $247,163.25 in simple interest.
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