Answer:
5 2/3
Step-by-step explanation:
I'm not sure how to explain, but 5 2/3 divided by itself is 1...
I hope this helped a little bit still. Have a great day c:
In the diagram below, \overline{OP} OP is parallel to \overline{LM} LM . Solve for xx. Round your answer to the nearest tenth if necessary and the numbers on the diagram are 14.2,13.3,10.7
The value of x from the given diagram is approximately 17.7
Similarity theorem of a triangleApplying this theorem to the given triangle, we will have:
x/x+14.2 = 13.3/13.3+10.7
x/x+14.2 = 13.3/24
x/x+14.2 =0.55416
x = 0.55416(x+14.2)
x - 0.55416x = 7.8692
0.44584x = 7.8692
x = 17.7
Hence the value of x from the given diagram is approximately 17.7
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best be solved with the inequality 40 – 3x ≥ 5
Answer:
A. You bring $40 to the carnival. You need to keep at least $5 for the bus ride home. how many $3 dollar rides can you go on
Step-by-step explanation:
Answer:
ummmmmmmmmm m?mmm?mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
if y varies directly as x and y=7 when x=3 , find y when x=7
By Direct Variation, value of y is 49/3.
What is Direct Variation?
When two variables are related in a way that one is a constant multiple of the other, this is referred to as direct variation. They are said to be in proportion, for instance, when one variable affects the other. The equation has the form b = ka if b is directly proportional to a. (where k is a constant).
Direct variation, by definition, has the form shown below:
y=kx
Where k is the constant of proportionality.
Given the information in the problem , you can find k
7 = 3K
K = 7/3
Now you can find y when x=7 as following:
y = (7/3)x
Substitute values. Then:
y = ( 7*7)/3
y = 49/3
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Q. You do lawn work for $13 an hour, but charge a $7.5 transportation cost. What rule
represents your business model?
answer choices
Cy=13x + 7.5
f y=13x - 7.5
By=20.5%
Dy=7.5x + 13
Answer:
Cy
Step-by-step explanation:
x is the number of hours
you go to the park with one of your friends and decide to play on the swings. your swings start out together, but you notice that they don't stay together. after your swing has completed 15 complete cycles, your friend's swing has made only 14.3 cycles. what is the ratio of the length of your swing to the length of your friend's swing?
your swing is about 5% longer than your friend's swing.The ratio of the lengths of your swing and your friend's swing can be found using the formula:
(number of cycles completed) / (length of swing)
Let L be the length of your friend's swing, then your swing is (L + x) where x is the extra length.
For your swing, 15 / (L + x) = 1
For your friend's swing, 14.3 / L = 1
Solving for L and x, we get:
L = 14.3
x = 0.7
Therefore, the ratio of the length of your swing to the length of your friend's swing is:
(L + x) / L = (14.3 + 0.7) / 14.3 = 1.05.
So your swing is about 5% longer than your friend's swing.
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what is 14 2/7 × 4 3/10
Answer:
14 2/7 x 4 3/10 is 61 3/7
Step-by-step explanation:
Divde the square roots of 121 by the product of the Square roots of 25 and 4
Answer:
1.1
Step-by-step explanation:
\( \frac{ \sqrt{121} }{ \sqrt{25} \times \sqrt{4} } = \frac{11}{5 \times 2} = \frac{11}{10} = 1.1\)
Any has 10 pieces of fruit. 7 are apples and the rest are oranges.
She chooses a piece of fruit at random eats it then chooses a second piece of fruit at random
Please draw this
The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.
What fraction should go into the boxes?Total number of fruits Amy has = 10
Number of Apples = 7
Number of Oranges = 3
First random pieces of fruits chosen:
Probability of choosing Apples = 6/9
Probability of choosing Oranges = 3/9
Second random pieces of fruits chosen:
Probability of choosing Apples = 6/8
= 3/4
Probability of choosing Oranges = 2/8
= 1/4
Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.
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Shania deposited $3,000 into a savings account tha
Shania have in her savings account after 10 years?
$4,125
$1,950
$4,950
$3,875
5.
A
45
In this 45-45-90 triangle, I have been given the length of a leg. How do I
find the length of the hypotenuse?
Multiply that leg's length by 2.
Multiply that leg's length by √2.
B
Divide that leg's length by √2.
It is the same length as the given leg.
The correct statement as to how to obtain the length of the hypotenuse is given as follows:
Multiply that leg's length by √2.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The theorem is expressed as follows:
c² = a² + b².
In which:
c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.On a 45-45-90 triangle, we have that the two sides have the same length, hence the hypotenuse is obtained as follows:
h² = l² + l²
h² = 2l²
\(h = \sqrt{2 \times l^2}\)
\(h = l\sqrt{2}\)
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lim x -4 sqrt x+20 - sqrt 12-x x^ 2 +3x-4 =
Step-by-step explanation:
\( = \lim \limits_{x \to - 4} \frac{ \sqrt{x + 20} - \sqrt{12 - x} }{ {x}^{2} + 3x - 4 } \)
\( = \lim \limits_{x \to - 4} \frac{ \sqrt{x + 20} - \sqrt{12 - x} }{(x + 4)(x - 1)} \times \frac{ \sqrt{x + 20} + \sqrt{12 - x} }{ \sqrt{x + 20} + \sqrt{12 - x } } \)
\( = \lim \limits_{x \to - 4} \frac{ {( \sqrt{x + 20} )}^{2} - {( \sqrt{12 - x} )}^{2} }{(x + 4)(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} \)
\( = \lim \limits_{x \to - 4} \frac{x + 20 - 12 + x }{(x + 4)(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} \)
\( = \lim \limits_{x \to - 4} \frac{2x + 8}{(x + 4)(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} \)
\( = \lim \limits_{x \to - 4} \frac{2 \cancel{(x + 4)}}{ \cancel{(x + 4)}(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} \)
\( = \lim \limits_{x \to - 4} \frac{2}{(x + 1)( \sqrt{x + 20} + \sqrt{12 - x} )} \)
\( = \frac{2}{( - 4 + 1)( \sqrt{ - 4 + 20} + \sqrt{12 + 4} ) } \)
\( = \frac{2}{( - 3)( \sqrt{16} + \sqrt{16}) } \)
\( = \frac{2}{( - 3)(4 + 4)} \)
\( = \frac{2}{( - 3)(16)} \)
\( = \frac{1}{( - 3)(8)} \)
\( = - \frac{1}{24} \)
Solve by Substitution
-5x+3y=-11, -2x+y=0
compute by hand
Compute the future worth for the following cash flows. 5x 4x 3x 2x i = 12 % x
To compute the future worth of the given cash flows, we need to multiply each cash flow by its corresponding discount factor and sum them up. The discount factor can be calculated using the formula:
Discount Factor = 1 / (1 + i)^n
Where:
i is the interest rate (12% or 0.12 in decimal form)
n is the number of periods
Let's calculate the future worth step by step:
Cash Flow: 5x
Discount Factor = 1 / (1 + 0.12)^1 = 1 / 1.12 = 0.8929 (rounded to 4 decimal places)
Future Worth of 5x = 5x * 0.8929 = 4.4645x
Cash Flow: 4x
Discount Factor = 1 / (1 + 0.12)^2 = 1 / 1.2544 = 0.7972 (rounded to 4 decimal places)
Future Worth of 4x = 4x * 0.7972 = 3.1888x
Cash Flow: 3x
Discount Factor = 1 / (1 + 0.12)^3 = 1 / 1.4049 = 0.7118 (rounded to 4 decimal places)
Future Worth of 3x = 3x * 0.7118 = 2.1354x
Cash Flow: 2x
Discount Factor = 1 / (1 + 0.12)^4 = 1 / 1.5735 = 0.6355 (rounded to 4 decimal places)
Future Worth of 2x = 2x * 0.6355 = 1.2710x
Now, let's sum up all the future worth values:
Future Worth = 4.4645x + 3.1888x + 2.1354x + 1.2710x
= 11.0597x
Therefore, the future worth of the given cash flows is 11.0597x.
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How many solutions does 8 + x/6 = x/6 - 4 + 5x/12 have?
A. Two solutions.
B. No solutions
C. Infinitely many solutions
D.One solution
Answer:
It has got one solution since it is a linear equation which falls under polynomials
Plz help me
It's the same as the last question
Answer:
4x+4x+7x=180
15x=180
x=12
Step-by-step explanation:
Answer:
From the lines we know that that two sides are the same so the other angle is also 4x
the total of a triangle equals 180 so
4x+4x+7x=180
15x=180
x=12
Hope This Helps!!!
divide $25 for 2 people in the ratio 2:3
10 and 15
add 2 and 3 together then divide 25 by that and then multiply that number by 2 and 3 to find both of the answers
10. A bank teller serves one customer in 5 minutes. Assuming the demand is 12 cust/hour, what is the utilization? A. 33.39 B. 50.0% C. 66.67% D. 100%
the utilization is approximately 1.67%, which is closest to option A. 33.39%.
Given:
- The bank teller serves one customer in 5 minutes.
- The demand is 12 customers per hour.
To find the average time per customer, we can invert the rate of serving customers per minute:
Average time per customer = 1 / (12 customers/hour 60 minutes/hour) = 1 / 720 customers/minute
Utilization is defined as the ratio of time spent serving customers to the total available time. Since the total available time is 60 minutes per hour, we can calculate the utilization as follows:
Utilization = (Time spent serving customers / Total available time) 100%
Time spent serving customers = Average time per customer Number of customers
Time spent serving customers = (1 / 720 customers/minute) (12 customers/hour)
Time spent serving customers = 12 / 720 hours
Utilization = (Time spent serving customers / Total available time) 100%
Utilization = (12 / 720 hours) / (1 hour) 100%
Utilization = 12 / 720 100%
Utilization = 1.67%
Therefore, the utilization is approximately 1.67%, which is closest to option A. 33.39%.
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Convert the following from factored form to standard form.
f\left(x\right)=\left(x+5\right)\left(x-1\right)f(x)=(x+5)(x−1)
Answer:
the mmic is back still swords rund eep
Step-by-step explanation:
how many dollars are in 50 quarters
Answer:
There are $12.50 dollares in 50 quarters
Step-by-step explanation:
50 / 4 = 12.5
Plz mark as brainliest if this helped! Have a nice day!!!
-Lil_G
Answer:
12.50
Step-by-step explanation:
quarters = 25 cents
1 dollar = 4 quarters
50 ÷ 4 = 12.5
12 dollars and 50 cents
I Need Help With This Question
Answer:
Step-by-step explanation:
Dont do it. Just take the detention
what is the slope of this equation, v=3x+60
Answer:
slope=3
Step-by-step explanation:
Solve for w.
−(14w+8)+8=3
w=134
w=−12
w=−34
w=52
The solution to this given question should be -3/14. We can find it in the following manner.
−(14w+8)+8=3
-14w - 8 + 8 = 3
-14w = 3 (+8 and -8 get cancelled)
w = -3/14
This is how one can simplify the equation and solve for w.
None of the given options match the solution we obtained. Therefore, there may have been an error in the question or the answer choices.
To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.
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if a fraction converts into a decimal that eventually stops what do you call it ??
Answer:
Terminating decimal.
Step-by-step explanation:
We need to find, if a fraction converts into a decimal that eventually stops what do we call it.
If a fraction converts into a decimal that eventually stops is called terminating decimals.
For example : 0.1, 2.45, 3.4657 etc.
If a fraction converts into a decimal that is repeating and do not stops is called non-terminating recurring decimals.
For example : 0.333..., 2.3454545... etc.
If a fraction converts into a decimal that is not repeating and do not stops is called non-terminating, non-recurring decimals.
For example : 0.2345172..., 2.34093795... etc.
Therefore, required answer is terminating decimal.
are there any other variables that explain the association between binge-watching tv and irritability?
Internal validity explains the association between binge-watching tv and irritability.
In the context of a specific study, internal validity refers to how strongly a piece of evidence supports a claim regarding cause and effect. It is one of the most crucial characteristics of scientific research and a crucial idea when considering evidence more generally.
The extent to which alternative explanations for a study's findings (often, sources of systematic error or "bias") can be ruled out is a measure of its internal validity. In contrast, external validity measures how well data support judgments made regarding other situations (that is, the extent to which results can be generalized).
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Calculate the area of the square shown below.
its a square ■ and on the bottom its 3.1 yd what do I do?
Step-by-step explanation:
area of square is a^2
3.1yd^2=9.61yd^2
Answer:
Area = 9.61^2
Step-by-step explanation:
A square has all equal sides so each side is the same length. To find the area mulyiply the length by the width. Since it is a square both sides will be 3.1 yds long. So multiply 3.1 by 3.1 and you will get 9.61^2, That is the area of the square.
calculate the bias of each point estimate. is any one of them unbiased? u1= x1/4+x2/3+x3+5
Since the bias of u1 depends on the true value of the parameter θ, we cannot determine whether any particular point estimate is unbiased without knowing θ. However, we can say that u1 is not generally an unbiased estimator, since its bias is a non-zero function of θ.
Assuming we do know the true value of the parameter, the bias of a point estimate is given by the difference between the expected value of the estimator and the true value of the parameter. Specifically, the bias of an estimator E(θ) is given by:
Bias(E(θ)) = E(E(θ)) - θ
where θ is the true value of the parameter.
In the case of the estimator u1, we have:
E(u1) = E(x1/4 + x2/3 + x3 + 5) = 1/4 E(x1) + 1/3 E(x2) + E(x3) + 5
If we assume that x1, x2, and x3 are independent and identically distributed (i.i.d.), then we can use the linearity of expectation to simplify this expression
E(u1) = 1/4 E(x1) + 1/3 E(x2) + E(x3) + 5
= 1/4 θ + 1/3 θ + θ + 5
= 17/12 θ + 5
where θ is the true value of u1.
Therefore, the bias of u1 is:
Bias(u1) = E(u1) - θ
= (17/12 θ + 5) - θ
= 5/12 θ + 5
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Question
Suppose you have a set of data points {x1, x2, x3}. Calculate the bias of each point estimate of the following parameter:
u1 = x1/4 + x2/3 + x3 + 5
To calculate the bias of each point estimate, we first need to know the true population parameter that we are trying to estimate. Without that information, we cannot determine if any of the point estimates are unbiased.
Assuming we are trying to estimate the population mean, μ, based on the sample means x1, x2, and x3, we can rewrite the formula for u1 as:
u1 = (1/4)x1 + (1/3)x2 + x3 + 5
The bias of a point estimate is the difference between the expected value of the estimate and the true value of the parameter being estimated. In other words, if we were to take many samples from the population and calculate the mean of each sample, the bias of a particular point estimate would be the difference between the average of all those sample means and the true population mean.
Without knowing the true population mean, we cannot calculate the bias of each point estimate. However, we can say that if the expected value of any of the point estimates is equal to the true population mean, then that point estimate is unbiased.
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Which represents the most effective chunking of the digit sequence 14929111776?
The most effective chunking of the digit sequence 14929111776 would depend on the purpose of chunking.
However, a possible effective chunking could be 14-92-91-11-77-6, which groups the digits into pairs or triplets based on their similarity or pattern. Another possible chunking could be 1492-911-1776, which separates the digits based on significant historical events. Ultimately, the effectiveness of chunking would depend on the context and intended use of the sequence. The most effective chunking of the digit sequence 14929111776 would be to group the numbers into smaller, manageable chunks. One possible way to chunk the sequence is: 149-29-11-17-76. This breaks the sequence into five groups, making it easier to remember and process.
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i
need help
Solve for all values of \( a \) in simplest form. \[ 48=|a-7| \] Answer: \( a= \)
The solutions are
�
=
55
a=55 and
�
=
−
41
a=−41.
To solve for
�
a in the equation
48
=
∣
�
−
7
∣
48=∣a−7∣, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.
Case 1:
�
−
7
a−7 is positive
In this case, the absolute value expression simplifies to
�
−
7
=
48
a−7=48. Solving for
�
a, we get
�
=
55
a=55.
Case 2:
�
−
7
a−7 is negative
In this case, the absolute value expression becomes
−
(
�
−
7
)
=
48
−(a−7)=48. Simplifying, we have
−
�
+
7
=
48
−a+7=48. Solving for
�
a, we get
�
=
−
41
a=−41.
Therefore, the values of
�
a that satisfy the equation are
�
=
55
a=55 and
�
=
−
41
a=−41.
In simplest form, the solutions are
�
=
55
a=55 and
�
=
−
41
a=−41.
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Convert the following numbers with the indicated bases to i) decimal, using the direct method, and ii) hexadecimal, using the intermediary binary conversion [and bit grouping] method: (a) (1203)4
(b) (5243)8
(a) (1203)4 is equal to 99 in decimal and 12 in hexadecimal.
(b) (5243)8 is equal to 2211 in decimal and 1523 in hexadecimal.
To convert numbers from different bases to decimal using the direct method, we multiply each digit of the number by the corresponding power of the base and sum the results. To convert to hexadecimal using the intermediary binary conversion method, we first convert the number to binary and then group the binary digits into groups of 4, starting from the rightmost digit, and convert each group to its hexadecimal equivalent.
(a) Converting (1203)4 to decimal:
(1203)4 = 1 * 4³ + 2 * 4² + 0 * 4¹ + 3 * 4⁰
= 64 + 32 + 0 + 3
= 99
Converting (1203)4 to hexadecimal:
First, convert (1203)4 to binary:
(1203)4 = (10010)2
Next, group the binary digits into groups of 4:
(10010)2 = (0001 0010)2
Finally, convert each group to its hexadecimal equivalent:
(0001 0010)2 = (12)16
Therefore, (1203)4 is equal to 99 in decimal and 12 in hexadecimal.
(b) Converting (5243)8 to decimal:
(5243)8 = 5 * 8³ + 2 * 8² + 4 * 8¹ + 3 * 8⁰
= 2048 + 128 + 32 + 3
= 2211
Converting (5243)8 to hexadecimal:
First, convert (5243)8 to binary:
(5243)8 = (101 010 100 011)2
Next, group the binary digits into groups of 4:
(101 010 100 011)2 = (0001 0101 0010 0011)2
Finally, convert each group to its hexadecimal equivalent:
(0001 0101 0010 0011)2 = (1523)16
Therefore, (5243)8 is equal to 2211 in decimal and 1523 in hexadecimal.
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Which function has a period of 4 π?
(F) y=tan 4θ
(G) y=tan 2θ
(H) y=tan 1/2θ
(I) y=tan1/4θ
The function that has a period of 4π is (h) y=tan 1/2θ
Which function has a period of 4π?From the question, we have the following parameters that can be used in our computation:
The functions
A sinusoidal function is represented as
f(x) = Atan(B(x + C)) + D
Where
Period = 2π/B
In function (H), we have
B = 1/2
So, we have
Period = 2π/(1/2)
Evaluate
Period = 4π
Hence, the function that has a period of 4π is (h) y=tan 1/2θ
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