What is the least common multiple of 4 and 10?
Answers
Answer:
Step-by-step explanation:
20
Least common multiple (LCM) of 4 and 10 is 20.
Answer:
20
Step-by-step explanation:
Related Questions
graph the function f(x) = 1/2(2)^x on the coordinate plane.
Answers
Answer:
See below
Step-by-step explanation:
You can always plug in x's and solve for y.
Simplify the expression:
5.1 + 8.8t - 2.2t + 7.4t
Answers
Answer:
14t + 5.1
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
5.1 + 8.8t - 2.2t + 7.4t
Step 2: Simplify
Combine like terms (t): 14t + 5.1What is 3% of 84?
Show work!
Answers
Step 2: we represent the unknown value with X
Step 3: From step 1 above, 84 = 100%
Step 4: Similarly, X = 3%
Step 5: This results in a pair of simple equations:
84 = 100%(1)
X = 3%(2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS ( right hand side) of both equations have the same unit (%); we have
84/x = 100% / 3%
Step 7: Again, the reciprocal of both sides gives
X/84 = 3/100
X = 2.52
Therefore, 3% of 84 is 2.52
i need help on this pleasea) each dashed line is a (write the name not the measurement)b) the red line segnment is the (write the name not the measurement )c) there are _ congruent triangles in a regular hexagond) the measurement of the radius of the hexagon=_e) the perimeterthe apothem=_ rounden to the nearest tenth)the area= _(use the rounded apothem)
Answers
Answer: The area of the hexagon is 261 square centimeters
To calculate the area of the of regular hexagon, we need to find the apothem first
Step 1: find the apothem
To find the apothem, we will be applying the pythagora theorem
The above triangle can be split into two
The hypotenus of the triangle is the same as the side of the hexagon
\(\begin{gathered} \text{Pythagora's theorem} \\ \text{Hypoyenus}^2=opposite^2+adjacent^2 \\ \text{Hypotenus = c, opposite = a, and adjacent = b} \\ 10^2=5^2+a^2 \\ 100=25+a^2 \\ \text{Collect the like terms} \\ a^2\text{ = 100 - 25} \\ a^2\text{ = 75} \\ \text{Take the square root of both sides} \\ \text{a = }\sqrt[]{75} \\ \text{a = }8.7cm \end{gathered}\)apothem = s / 2 tan (180/n)
let s = length of the side
n = number of sides
\(\begin{gathered} \text{apothem = }\frac{s}{2\text{ tan (}\frac{180}{n})} \\ s\text{ = 10, n = 6} \\ \text{apothem = }\frac{10}{2\text{ tan (180/6)}} \\ \text{apothem = }\frac{10}{2\tan (30)} \\ \text{Apothem = }\frac{10}{2\text{ x 0.577}} \\ \text{apothem = }\frac{10}{1.54} \\ \text{Apothem = }8.7\operatorname{cm} \end{gathered}\)Step 2: find the area using the calculated apothem
Area = 1/2 x perimeter x apothem
Perimeter = 6a
a = 10cm
Perimeter = 6 x 10
Perimeter = 60cm
Area = 1/2 x 60 x 8.7
Area = 30 x 8.7
Area = 261 square centimeters
Therefore, the area of the hexagon is 261 square cm
Which expression is equivalent to
\(2 \sqrt[3]{ {x}^{2} } - \sqrt{16x} \)
if x > 0?
![Which expression is equivalent to [tex]2 \sqrt[3]{ {x}^{2} } - \sqrt{16x} [/tex]if x > 0?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/oLv5SWusRTYfGDLF2jNftFtaHGWIK1id.jpeg)
Answers
\(2\sqrt[3]{x^2}\cdot \sqrt{16x}\\\\=2\sqrt[3]{x^2} \cdot 4\sqrt x\\\\=8x^{\tfrac 23} \cdot x^{\tfrac 12}\\\\=8\cdot x^{\tfrac 23 + \tfrac 12}\\\\=8\cdot x^{\tfrac 76}\\\\=8\sqrt[6]{x^7}\\\\=8\sqrt[6]{x^6 \cdot x}\\\\=8x\sqrt[6]{x}\)
\(\text{Hence the answer is A}\)
Answer:
\( \sf \: Option \: A \: \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8x \sqrt[6]{ {x}}\)
Step-by-step explanation:
\( \sf \: if \: x > 0 \\ \sf \: 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 2 \sqrt[3]{ {x}^{2} } \cdot \: 4 \sqrt{x} \\ \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 {x}^{ \frac{2}{3} } \cdot \: {x}^{ \frac{1}{2} } \\ \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} =8 {x}^{ \frac{2}{3} + \frac{1}{2} } \\ \sf\ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 {x}^{ \frac{4 + 3}{3 \times 2} } \\ \sf\ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 {x}^{ \frac{7}{6} } \\ \sf 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 \sqrt[6]{ {x}^{7} } \\ \sf\ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 \sqrt[6]{ {x}^{6} + x } \\ \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8x \sqrt[6]{ {x}}\)
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How do I solve this equation?
Answers
Answer:
x=4,-3
step-by-step
question : Jody got an 80% on a test that had 60 total points on it. How many points did Jody get correct?
help :) ( im not so good with math ) .
Answers
Answer:
48
Step-by-step explanation:
Calculate the volume V of the
complete ring of cross section shown, in cu in
Answers
To calculate the volume of the complete ring with the given cross-section, we need to determine the area of the cross-section and multiply it by the width or thickness of the ring.
To find the volume V of the complete ring, we first need to calculate the area of the cross-section. The cross-section is likely to have a shape such as a circle, rectangle, or some combination of geometric figures. Once the cross-sectional area is determined, we can multiply it by the width or thickness of the ring to obtain the volume.
The specific calculation method will depend on the shape of the cross-section. For example, if the cross-section is a circle, the area can be found using the formula A = πr^2, where r is the radius of the circle. If the cross-section is a rectangle, the area can be found using the formula A = length × width.
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You are buying a new computer-aided drafting and design system for your business that costs $100,000 today. To use this system fully, you must invest an additional $25,000 in training costs. You finance $80,000 of the total investment cost at an effective annual interest rate of 8%, payable in five annual payments. The manufacturer has guaranteed you a salvage value of $20,000 for the system at the end of 5 years. The incremental cash flows generated with this system include $800,000 in annual revenues and $200,000 in annual noncapital expenses. Your MARR is 12%. Use the MACRS tax depreciation schedule in Example 3.1 and a marginal tax rate of 34%. The estimated general inflation rate is 4.5%. Develop the income and cash flow statement and the resulting NPV of this investment. Note that MARR is often adjusted for inflation. Typically, i= MARR with inflation i ′
= MARR without inflation, i ′
= inflation rate Thus, MARR considering inflation: i=i ′
+f ′
+i ′
f ′
Answers
The NPV of the investment is $297,542. The income and cash flow statement shows annual revenues of $800,000 and noncapital expenses of $200,000.
The depreciation expense using the MACRS tax schedule is $41,600 in Year 1, $66,560 in Year 2, $39,840 in Year 3, $23,904 in Year 4, and $23,904 in Year 5. The tax shield provided by depreciation is $14,144 in Year 1, $22,598 in Year 2, $13,557 in Year 3, $8,130 in Year 4, and $8,130 in Year 5. The net cash flow after taxes and depreciation is $547,013 in Year 1, $573,953 in Year 2, $561,013 in Year 3, $548,173 in Year 4, and $548,173 in Year 5. The present worth of the cash flows, considering the MARR with inflation, is $894,542. Subtracting the initial investment cost of $600,000 yields the NPV of $297,542.
To calculate the NPV of the investment, we need to consider the cash flows generated by the system, the depreciation expenses, the tax shield from depreciation, and the salvage value. The income statement includes annual revenues of $800,000 and noncapital expenses of $200,000. The difference between the revenues and expenses represents the taxable income.
Using the MACRS tax depreciation schedule and a marginal tax rate of 34%, we can calculate the depreciation expense for each year. The tax shield provided by depreciation is the depreciation expense multiplied by the tax rate. Subtracting the tax shield from the taxable income gives us the net cash flow after taxes and depreciation.
To calculate the present worth of the cash flows, we discount each year's cash flow using the MARR with inflation. The MARR is given as 12%, and the estimated general inflation rate is 4.5%. By adding the MARR with the inflation rate, we obtain the MARR considering inflation. We then use this rate to discount the cash flows.
Summing up the present worth of the cash flows and subtracting the initial investment cost yields the net present value (NPV) of the investment. In this case, the NPV is $297,542, indicating a positive value and suggesting that the investment is financially favorable.
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Solve 9 × 5/8
I'm gonna give you all my points : )
Answers
Answer:
See below.
Step-by-step explanation:
9*5/8
Order of operations state that division has to be done before multiplication.
5/8=0.625
9*0.625=5.625, or 5.6
-hope it helps
448m^2−49.81m=?
I need to know
Answers
Answer:
The answer to the expression 448m^2−49.81m is 448m^2 - 49.81m. It cannot be simplified further without knowing the value of m.
Assume the current spot rate is can$1.2803 and the one-year forward rate is can$1.2745. also assume the nominal risk-free rate in canada is 4.8 percent while it is 4.2 percent in the u.s. using covered interest arbitrage, you can earn a profit of ___ for every $1 invested over the next year.
Answers
Using covered interest arbitrage, you can earn a profit of approximately 0.60 cents for every $1 invested over the next year.
Calculate the interest rate differential.
The interest rate differential is the difference between the nominal risk-free rates in Canada and the U.S. In this case, the differential is 0.6% (4.8% - 4.2%). Calculate the forward premium or discount: The forward premium or discount is the difference between the one-year forward rate and the spot rate. In this case, the forward premium is 0.0058 (1.2803 - 1.2745).
Determine the profit: To calculate the profit, multiply the forward premium by the investment amount. In this case, for every $1 invested, you would earn approximately 0.60 cents (0.0058 * $1).
Please note that exchange rates and interest rates fluctuate, so the actual profit may vary.
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For every $1 invested over the next year, you can earn a profit of can$0.006 through covered interest arbitrage.
To determine the profit from covered interest arbitrage, we need to compare the returns from investing in Canada versus the returns from investing in the US. Covered interest arbitrage involves borrowing money at the lower interest rate and converting it into the currency with the higher interest rate.
First, let's calculate the profit in Canadian dollars. The one-year forward rate of can$1.2745 tells us that $1 will be worth can$1.2745 in one year. Therefore, by investing $1 in Canada at the risk-free rate of 4.8%, we will have can$1.048 after one year (can$1 * (1 + 0.048)).
Now, let's calculate the profit in US dollars. By investing $1 in the US at the risk-free rate of 4.2%, we will have $1.042 after one year ($1 * (1 + 0.042)).
The difference between the Canadian dollar profit and the US dollar profit is can$1.048 - $1.042 = can$0.006.
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solve for x Express your answer as an integers or in simplest radical form 1-x^3=9
Answers
Answer:
\(\large\boxed{\tt x = 2}\)
Step-by-step explanation:
\(\textsf{We are asked to solve for x in the given equation.}\)
\(\textsf{We should know that x is cubed, meaning that it's multiplied by itself 3 times.}\)
\(\textsf{We should isolate x on the left side of the equation, then find x by cubic rooting}\)
\(\textsf{both sides of the equation.}\)
\(\large\underline{\textsf{How is this possible?}}\)
\(\textsf{To isolate variables, we use Properties of Equality to prove that expressions}\)
\(\textsf{are still equal once a constant has changed both sides of the equation. A Cubic}\)
\(\textsf{Root is exactly like a square root, but it's square rooting the term twice instead}\)
\(\textsf{of once.}\)
\(\large\underline{\textsf{For our problem;}}\)
\(\textsf{We should use the Subtraction Property of Equality to isolate x, then cubic root}\)
\(\textsf{both sides of the equation.}\)
\(\large\underline{\textsf{Solving;}}\)
\(\textsf{Subtract 1 from both sides of the equation keeping in mind the Subtraction}\)
\(\textsf{Property of Equality;}/tex]
\(\tt \not{1} - \not{1} - x^{3} = 9 - 1\)
\(\tt - x^{3} = 8\)
\(\textsf{Because x}^{3} \ \textsf{is negative, we should exponentiate both sides of the equation by}\)
\(\textsf{the reciprocal of 3, which is} \ \tt \frac{1}{3} .\)
\(\tt (- x^{3})^{\frac{1}{3}} = 8^{\frac{1}{3}}\)
\(\underline{\textsf{Evaluate;}}\)
\(\tt (- x^{3})^{\frac{1}{3}} \rightarrow -x^{3 \times \frac{1}{3} } \rightarrow \boxed{\tt -x}\)
\(\textsf{*Note;}\)
\(\boxed{\tt A^{\frac{1}{C}} = \sqrt[\tt C]{\tt A}}\)
\(\tt 8^{\frac{1}{3}} \rightarrow \sqrt[3]{8} \rightarrow 2^{1} \rightarrow \boxed{\tt 2}\)
\(\underline{\textsf{We should have;}}\)
\(\tt -x=2\)
\(\textsf{Use the Division Property of Equality to divide each side of the equation by -1;}\)
\(\large\boxed{\tt x = 2}\)
can you please help me with this 2 part problem ? there is another image to go with this I'll send to you
Answers
Question 13.
The estimated monthly cost of an energy-efficient refrigerator is $57, meaning the yearly cost is
\(57\cdot12=\$684\)Question 14.
The least energy-efficient refrigerator costs $72 per month, meaning the annual cost is
\(\$72\cdot12=\$864\)Therefore, the amount you will save on an energy-efficient refrigerator be
\(\$864-\$684=\$180\)Hence, the amount saved on an energy-efficient refrigerator will be $180.
143 - 35
———————————
3 to the power of 3
what is the value of the expression
Answers
Answer: 4
Step-by-step explanation:
some randomly selected seventh graders in two classes were asked how many hours they studied for the final exam. The dot plot shows the data for each class.
1. Class A has the greater mean.
True
False
2. Class B has the greater MAD
True or false
3. Class A’s has a greater variation from the mean
True or false
Answers
Here is a table summarizing the answers to your questions:
1. Does class A have the greater mean? No
2. Does class B have the greater MAD? Yes
3. Does class A have a greater variation from the mean? No
How to explain the mean1. Class A has the greater mean. This is False. The mean is the average of all the values in a set of data. To find the mean, add up all the values and then divide by the number of values. In this case, there are 10 values in each set of data. The mean for class A is 4.5 hours and the mean for class B is 5 hours. Therefore, class B has the greater mean.
2. Class B has the greater MAD. This is True. In this case, the MAD for class A is 1.5 hours and the MAD for class B is 2 hours. Therefore, class B has the greater MAD.
3. Class A’s has a greater variation from the mean. This is False. The variation from the mean is the amount of spread in a set of data. The greater the variation, the more spread out the data is. In this case, class B has a greater variation from the mean than class A. This is because the MAD for class B is greater than the MAD for class A.
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discuss possible sources of measurement error in this experiment. are these sources of error enough to account for the percent differences you calculated from your data? write out your answer in a clear and well supported paragraph.
Answers
The "possible-sources" of in the measurement error of an experiment are Instrument error, Human error, sampling error and environmental factors, these sources "may" or "may-not" be enough to account for the percent differences calculated from the data.
There are several possible sources of "measurement-error" in an experiment which affect the accuracy and precision of the results.
These sources include instrument error, human error, environmental factors, and sampling error.
(i) "Instrument-Error" : is defined as inaccuracies in the measuring instruments used in the experiment. This include issues such as calibration errors, sensitivity of the instruments.
(ii) "Human-Error" can arise from mistakes made by experimenters during data collection or analysis, such as misreading measurements or recording data incorrectly.
(iii) "Environmental-Factors", such as temperature, humidity, or electromagnetic interference, can also cause error into experiment if they affect performance of measuring instruments.
(iv) "Sampling-Error" occur when a subset of the population is used for the experiment, and the results are generalized to the entire population.
Depending on the magnitude of these sources of error, they may or may not be enough to account for the percent differences calculated from the data.
If the measurement errors are small and within an acceptable range for the experiment, they may not significantly impact the results.
If the errors are large or systematic, they can introduce significant bias into the data and affect the percent differences calculated.
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The given question is incomplete, the complete question is
Discuss the possible sources of measurement error in an experiment. Are these sources of error enough to account for the percent differences you calculated from your data? write out your answer in a clear and well supported paragraph.
If + 6 =22, then what is + 3?
Emojis are part of question
Answers
Answer:
19
Step-by-step explanation:
first solve for the missing value in the first expression:
x + 6 = 22
-6 -6
x = 16
Now solve the second expression with the found missing value
x + 3 = _
16 + 3 = 19
31.875 as a power of 2
Answers
Answer:
1016.015625 is the correct answer
Step-by-step explanation:
31.875 to the second power is the same as 31.875 squared.
Equation - 31.875 x 31.875
Solve and your answer should be 1016.015625
in a right-tailed test a statistician got a z test statistic of 1.47. what is the p-value
Answers
To determine the p-value corresponding to a z-test statistic of 1.47 in a right-tailed test, we need to find the probability of obtaining a z-value equal to or greater than 1.47.
The p-value is the probability of observing a test statistic as extreme as, or more extreme than, the one calculated under the null hypothesis.
Using a standard normal distribution table or calculator, we can find the area to the right of 1.47. This area represents the probability of obtaining a z-value greater than 1.47.
Looking up the z-score of 1.47 in a standard normal distribution table, we find that the corresponding area is approximately 0.9292.
Since this is a right-tailed test, the p-value is equal to the area to the right of the test statistic. Therefore, the p-value is approximately 0.9292.
Thus, the p-value is approximately 0.9292 or 92.92%.
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The problem on card I is presented to a Math 2 class. Below are two
of the students' responses. Provide feedback for each student. Offer
feedback in the manner you wish to receive feedback yourself.¹
Line RS is parallel to Line TU.m/7=3r-10, and m/3 = 2x+5.
What is m/1?
Answers
The measurement of the angle 1 in the given parallel lines is 35° whereas the value of x is 15.
What are parallel lines?Parallel lines are those straight lines that are always the same distance apart from each other.
Given that, two lines RS and TU are parallel, and ∠ 7 = 3x-10 and ∠ 3 = 2x+5,
We need to find ∠ 1
Since, ∠ 7 and ∠ 3 are corresponding angles between two parallel lines therefore, both are congruent,
Therefore,
3x-10 = 2x+5
x = 15
Now, ∠ 1 = ∠ 3 as they are vertically opposite angles,
Therefore,
∠ 1 = 2(15)+5
∠ 1 = 35°
Hence, the measurement of the angle 1 in the given parallel lines is 35° whereas the value of x is 15.
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The figure was not given so the figure is attached.
Solve by completing the square: x^2+4x-5
Answers
Answer:
(x + 2)^2-9
How to find answer:
Use the formula (b/2)^2 in order to complete the square.
Hope this helps :)
help pleaseee i’ll put you as brainliest
Answers
Answer:
Step-by-step explanation:
If a boat has the speed = 15 miles per hour
Let the speed of the river = v miles per hour
If the boat is moving down stream, that means boat is traveling with the stream of the river.
So the speed of the boat downstream = (15 + v) miles per hour
Since, speed of the river stream is added with the speed of the boat, it will reach the destination earlier than the expectation.
What is the value of x in the equation below? Negative 3 minus (negative 8) minus (negative 2) = x
Answers
Answer:
x = 7
Step-by-step explanation:
Step 1: Write everything out
-3 - (-8) - (-2) = x
Step 2: Switch signs
x = -3 + 8 + 2
Step 3: Combine
x = 10 -3
x = 7
even betteerrrr u guys like it <3
Answers
Answer:
ummm
Step-by-step explanation:
what's that???
quiet didnt get it lol¿
An experiment will be conducted to test the efficacy of a weight loss supplement. Volunteers will be randomly assigned to take either the supplement or a placebo for 90 days, with 12 volunteers in each group. The subjects will not know which treatment they receive. At the end of the experiment, researchers plan to calculate the mean weight loss for each of the two groups and to construct a Welch's two-sample t-confidence interval for the difference of the two treatment means. Choose whether each of the following assumptions are necessary for the confidence interval to be valid. a. The sample sizes must be equal _____ b. The population standard deviations must be unequal_____
c. The distribution of weight loss of the two treatments are approximately normally distributed_____
d. The volunteers in the supplement group are paired with volunteers in the placebo group_____
e. The expected number of people who lose weight in each group is at least 5._____
Answers
a. The sample sizes must be equal: False. While equal sample sizes can improve the statistical power of the test, they are not necessary for the confidence interval to be valid.
b. The population standard deviations must be unequal: False. Welch's two-sample t-confidence interval can handle unequal population standard deviations, but it is not a requirement.
c. The distribution of weight loss of the two treatments are approximately normally distributed: True. For the confidence interval to be valid, the weight loss distributions should be approximately normal. This is a key assumption in t-tests.
d. The volunteers in the supplement group are paired with volunteers in the placebo group: False. This would be a requirement for a paired t-test, not a Welch's two-sample t-test. The volunteers are randomly assigned, so there is no pairing.
e. The expected number of people who lose weight in each group is at least 5: False. This condition relates to the expected frequencies in a chi-square test, not a Welch's two-sample t-test. The validity of the confidence interval does not depend on this condition.
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What is the value of -5 divided by 2? 0.5 2.5 −0.5 −2.5
Answers
The value of -5 divided by 2 is -2.5
In this question,
We have been given two integers -5 and 2.
we need to find the value of -5 divided by 2.
We write the statement '-5 divided by 2' in mathematical expression form as,
-5 ÷ 2
= -5 / 2
= -(5 / 2)
= -(2.5)
= -2.5
Therefore, the value of -5 divided by 2 is -2.5
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URGENT PLEASE HELP I NEED IT RN! THANKS
7. Critique Reasoning Julio states that he can use the SAS Triangle Congruence
Theorem to prove that two right triangles are congruent. He constructs two right
triangles to have congruent hypotenuses and one set of congruent legs. What does
Julio need to do in order to use the SAS Triangle Congruence Theorem? Explain your
reasoning
Answers
Julio needs to prove that two sides of the two triangles are congruent, in addition to the hypotenuse and one set of legs that are already congruent, to use the SAS Triangle Congruence Theorem.
Julio needs to prove that the two triangles have congruent sides in order to use the SAS Triangle Congruence Theorem. This means that he needs to show that one side of one triangle is congruent to a corresponding side of the other triangle and the same applies to the other two sides. This can be done by using methods such as measuring the sides, using algebraic equations, or using geometric constructions.
According to Julio statement, he has already constructed two right triangles to have congruent hypotenuses and one set of congruent legs, which means he has already proved that one side of one triangle is congruent to a corresponding side of the other triangle (hypotenuse) and one set of legs are congruent.
Therefore, Julio need to prove the remaining side of the triangle congruent to the corresponding side of the other triangle. Once he proves this, he can use the SAS Triangle Congruence Theorem to state that the two triangles are congruent.
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Help me with this part
Answers
Answer:
-7, -1
This should be correct
PleAsE helppppppppppppppppp
