The simplified form of the expression (6^2)(-3^5) is -8,748.
To simplify (6^2)(-3^5), we must first evaluate the exponents.6^2 = 36, since 6 × 6 = 36.3^5 = 243,
since 3 × 3 × 3 × 3 × 3 = 243.Now, we substitute the values into the expression:
(6^2)(-3^5) = (36)(-243)
Next, we multiply the values to obtain the simplified form:
(36)(-243) = -8,748
Therefore, (6^2)(-3^5) in its simplest form is -8,748.According to the rules of exponents, when we raise a number to an exponent, the result is the number multiplied by itself the number of times represented by the exponent.
For instance, 6^2 means 6 multiplied by itself 2 times, which is equal to 36.3^5 means 3 multiplied by itself 5 times, which is equal to 243.
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Pls give me the answer to
12 – 3x = -6х
Answer:
-4
Step-by-step explanation:
Move variables to one side and numbers on the other.
12 - 3x = -6x
+ 3x +3x
12 = -3x
/-3 /-3
-4 = x
What is -5/9, 3/7, and -2/3 in order from least to greatest?
Answer:
-2/3, -5/9, 3/7
Step-by-step explanation:
-5/9 = -0.55...
3/7 = 0.42...
-2/3 = -0.66...
-0.66... < -0.55... < 0.42...
Best of Luck!
(NEED DONE QUICK) Triangle ABC has a midsegment at DF and segment DF is parallel to segment BG.
What is the value of x?
Answer:
x = 6
Step-by-step explanation:
Midsegment equals to half of the value of the base
4x - 3 = 1/2*6(x + 1)4x - 3 = 3x + 34x - 3x = 3 + 3x = 6what is the constant of proportionality for the line on the graph below?
Answer:
you add then you multiply the number that you have and then whatever you get thats your answer
Step-by-step explanation:
hopes this help :)
(six to the -4th power Times eight to the -7th power )-7 =?
Answer:
-7
Step-by-step explanation:
I just yeeted it into a calculator.
Answer:
-7
Step-by-step explanation:
Step 1: Write expression
(6⁻⁴ · -8⁻⁷) - 7
Step 2: Parenthesis Exponents
(1/1296 · 1/2097152) - 7
Step 3: Parenthesis multiply
1/2717908992 - 7
Step 4: Subtract
-19025362943/2717908992
Step 5: Evaluate
-7
What is the most precise name for quadrilateral ABCD with vertices A(-5,2), B(-3,4), C(5,4), and D(3,2)?
Answer:
Step-by-step explanation:
Parallelogram.
To get from A to B you move 2 units left and 2 units up
To get from B to C you move 8 units right and no units up or down.
To get from C to D you move 2 units down and 2 units left.
To get from D to A you move 8 units left and no units down or up.
The difference of 9 and the square of a number.
Answer:
x² - 9
Step-by-step explanation:
Step 1: Convert word to math
9 = 9
square of a number = x²
Step 2: Combine
"Difference" = subtraction
x² - 9
evaluate the double integral ∬r(2x−y)da, where r is the region in the first quadrant enclosed by the circle x2 y2=36 and the lines x=0 and y=x, by changing to polar coordinates.
Answer:
[tex]144-108\sqrt2 \ \text{units}^2[/tex]
Step-by-step explanation:
Evaluate the given double integral bounded by the region made up of the circle, x²+y²=36, and the lines x=0 and y=x, using polar coordinates.
[tex]\iint_R (2x-y)dA[/tex]
(1) - Changing to polar coordinates from rectangular
[tex]\\\boxed{\left\begin{array}{ccc}\text{Using the following conversions:}\\\\x=r\cos \theta\\\\y=r \sin\theta\\\\r^2=x^2+y^2\\\\\theta=\tan^{-1}(\frac{y}{x})\end{array}\right}[/tex]
Limits:
r^2=36 => r=±6
∴ 0≤r≤6
and π/4≤θ≤π/2
Integrand:
[tex]2x-y \rightarrow 2r\cos(\theta)-r\sin(\theta)[/tex]
We now have,
[tex]\int\limits^{\pi/2}_{\pi/4} \int\limits^6_0{( 2r\cos(\theta)-r\sin(\theta))} \, rdrd\theta \\\\\Longrightarrow \boxed{\int\limits^{\pi/2}_{\pi/4} \int\limits^6_0{( 2r^2\cos(\theta)-r^2\sin(\theta))} \, drd\theta }[/tex]
(2) - Evaluating the integral
[tex]\int\limits^{\pi/2}_{\pi/4} \int\limits^6_0{( 2r^2\cos(\theta)-r^2\sin(\theta))} \, drd\theta\\\\\\\Longrightarrow \int\limits^{\pi/2}_{\pi/4}\Big[\frac{2}{3}r^3\cos(\theta)-\frac{1}{3}r^3\sin(\theta)\Big]\limits^{6}_0 d\theta \\\\\\\Longrightarrow \int\limits^{\pi/2}_{\pi/4}\Big[(\frac{2}{3}(6)^3\cos(\theta)-\frac{1}{3}(6)^3\sin(\theta))-(0)\Big] d\theta\\\\\\\Longrightarrow \int\limits^{\pi/2}_{\pi/4}(144\cos(\theta)-72\sin(\theta))d\theta[/tex]
[tex]\Longrightarrow\Big[144\sin(\theta)+72\cos(\theta)\Big]\limits^{\pi/2}_{\pi/4}\\\\\\\Longrightarrow \Big[(144\sin(\pi/2)+72\cos(\pi/2))-(144\sin(\pi/4)+72\cos(\pi/4))\Big]\\\\\\\Longrightarrow \Big[(144)-(144(\frac{\sqrt{2} }{2} )+72(\frac{\sqrt{2} }{2} ))\Big] \\ \\ \\ \Longrightarrow \Big[(144)-(72\sqrt{2} +36\sqrt{2} )\Big]\\\\\\\Longrightarrow \boxed{144-108\sqrt2 \ \text{units}^2}[/tex]
Thus, the area of the region is [tex]144-108\sqrt2 \ \text{units}^2[/tex].
Karina is showing her steps to solve the expression −26.7 ÷ 1 over 3.
In which step did Karina make an error?
Step 1: −26.7 ÷ 1 over 3
Step 2: −26.7 ⋅ −3
Step 3: 80.1
Answer:
-26.7/1 = -26.7
-26.7/3 does not equal -26.7 x -3
By: sbcardinals
Hellpeelelepeppppppppppppppp
Answer:
X=58 probably
Step-by-step explanation:
180-(56+66) = 180-122=58
180 is the area or angle of the triangle
Can you please help me please =( I beg you
Answer:
steps A & BStep-by-step explanation:
5x + 9 = 2x - 3
subtract 2x from both sides
5x - 2x + 9 = 2x - 2x - 3
simplify:
3x + 9 = -3
subtract 9 from both sides:
3x + 9 - 9 = -3 - 12
simplify:
3x = -12
divide 3 on both sides:
3x = - 12
3 3
simplify:
x = -4
Ten samples of size =8 have been collected from a production process manufacturing shafts for fuel pumps. The shaft diameter is critical and it has been measured for each shaft. The process is in statistical control. Table Q(d) (i) Analyse the values of the centre line, LCL and UCL for the x-bar and R charts using the constants given in Table Q(d). The calculated values of x-bar and R for each sample are shown below. (ii) Formulate the x-bar and R charts and plot the sample data on the charts. (iii) Appraise the information provided by the x-bar chart.
An x-bar chart is an essential tool for monitoring and improving the production process by providing insights into the process's stability and helping to identify potential issues or improvements needed to maintain the quality of the manufactured shafts for fuel pumps.
(i) The center line (CL), lower control limit (LCL), and upper control limit (UCL) for the x-bar and R charts need to be calculated using the constants provided in Table Q(d). The values of the x-bar and R for each sample are given but are not specified in the question. The calculation of these control limits involves statistical formulas and the use of the given constants.
(ii) To formulate the x-bar and R charts, the calculated values of the x-bar and R for each sample need to be plotted on the respective charts. The x-bar chart displays the sample means over time, while the R chart shows the ranges of the samples. These charts help monitor the process and identify any points that fall outside the control limits, indicating potential process variations or abnormalities.
(iii) The x-bar chart provides valuable information about the central tendency or average of the sample measurements. By analyzing the data plotted on the x-bar chart, one can observe the stability and consistency of the production process. If the points on the x-bar chart fall within the control limits, it suggests that the process is in statistical control, meaning it is stable and producing consistent results. However, if any points exceed the control limits, it indicates that the process may be out of control, and further investigation is required to identify and address the sources of variation.
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what does x equal
9x - 3 = -138
x=
Answer: x=3/9
Have a nice day people
and if you need help I am right here baby;)
Let's solve your equation step-by-step.
9x−3=−138
Step 1: Add 3 to both sides.
9x−3+3=−138+3
9x=−135
Step 2: Divide both sides by 9.
9x/9=-135/9
x=−15
Answer:
x=−15
You conduct a 1-way ANOVA with 6 groups. You find a statistically significant effect. How many possible pairwise comparisons could be conduct with this data? Number of pairwise comparisons:
Answer:
There are 15 possible pairwise comparisons that can be conducted with the given data.
Step-by-step explanation:
The number of possible pairwise comparisons that can be conducted in a 1-way ANOVA with 6 groups can be calculated using the formula:
Number of pairwise comparisons = (n * (n - 1)) / 2
where n is the number of groups.
In this case, n = 6. Plugging this value into the formula:
Number of pairwise comparisons = (6 * (6 - 1)) / 2
= (6 * 5) / 2
= 30 / 2
= 15
Therefore, there are 15 possible pairwise comparisons that can be conducted with the given data.
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what is the distance from (-4, 0) to (2, 5) round your answer to the nearest hundreth
8y + 6 - 15y + 5 - 3
Step-by-step explanation: im not really sure what it is but if you are working from this probplem do pemdas-
perthises,expoment,mulicaion,divishoin,addishoin, subbtraion
hope this helped! sorry if i spelt these wrong....
need help with 19 and 20 ASAP please
19. The fourth option is correct, as the angle is bisected.
20. 7x - 8 = 6x + 11 (since they are vertically opposite angles)
Zarina said, "The sum of my
age and my father's age is 50.
The product of our ages is 400."
How old is Zarina?
Answer:
Zarina is 8
Step-by-step explanation:
this is a little bit of what goes on in my head
400 the product of the ages / 50 her fathers age = ? her age
400 / 50 = 8
but you could also they can each be divided by 10
400 / 10 = 40
50 / 10 = 5
40 / 5 = 8
Zarina is 8 years old
the factors of a number inculide 2, 3, 4, 6, 8, 12, 16, 32, and 48. which could be the number?
Answer:
The number could be 48.
Step-by-step explanation:
To determine the number that has the given factors, we look for the common factors among the provided numbers: 2, 3, 4, 6, 8, 12, 16, 32, and 48. Among these numbers, the only one that is a factor of all the others is 48. Therefore, 48 is a possible number that satisfies the given conditions.
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I
figured that Asset = 92'000 ( liability/debt ratio) but need help
on finding long term asset
pls help
Owen's annual expenses are $48,000. His debt-to-asset ratio is 0.5. His liabilities total $46,000. If he maintains the minimum emergency fund, what are his long-term assets? I a) $11,000 b) $50,000 c)
The Owen's long-term assets amount to $44,000. This is calculated by subtracting his annual expenses of $48,000 from his total assets, which are determined to be $92,000 based on a debt-to-asset ratio of 0.5 and total liabilities of $46,000. Therefore, the correct option is d) $44,000.
Owen's long-term assets can be calculated using the given information. Let's break down the problem step by step:
1. Debt-to-asset ratio: Owen's debt-to-asset ratio is 0.5. This ratio is calculated by dividing total liabilities by total assets. Since we know the ratio, we can express it as a fraction: Debt-to-asset ratio = Liabilities / Assets.
2. Liabilities: Owen's liabilities total $46,000, which means Liabilities = $46,000.
3. Total assets: To find Owen's total assets, we can use the debt-to-asset ratio. We know that Debt-to-asset ratio = Liabilities / Assets. Rearranging the equation, we have Assets = Liabilities / Debt-to-asset ratio.
Plugging in the given values, we can calculate Owen's total assets:
Assets = $46,000 / 0.5 = $92,000.
4. Emergency fund: Since Owen needs to maintain the minimum emergency fund, we need to subtract the annual expenses from the total assets. Owen's annual expenses are $48,000. So, his long-term assets would be:
Long-term assets = Total assets - Annual expenses = $92,000 - $48,000 = $44,000.
Therefore, Owen's long-term assets amount to $44,000. The correct answer option would be d) $44,000.
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mia wrote a proof that triangle aed is congruent to triangle ceb. mias proof is incomplete. how ca mia fix her proof?
To make her proof even more comprehensive, she may want to include a diagram that shows the triangles and their corresponding sides and angles. This will help her readers visualize the congruence of the two triangles.
When writing a proof, it's essential to demonstrate how you came to your conclusion. You must use precise definitions and provide the reasons for each of your statements. Let's take a look at how Mia can fix her incomplete proof. We'll assume that Mia has stated that triangle AED is congruent to triangle CEB. To fix her proof, Mia should include the following statements and reasons. Mia should use the Side-Angle-Side (SAS) Congruence Postulate to demonstrate that triangle AED is congruent to triangle CEB. The SAS Congruence Postulate states that if two sides and the angle between them in one triangle are congruent to two sides and the angle between them in another triangle, the triangles are congruent.In this case, Mia should demonstrate that Side AE is congruent to Side CB, Angle AED is congruent to Angle CEB, and Side DE is congruent to Side BE. Then, she should conclude that triangle AED is congruent to triangle CEB. The reason for each statement should be provided to support her argument.Mia should ensure that her proof includes precise definitions and explanations.
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712.9 divided by what equals 71.29
Answer: 712.9÷10=71.29
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
If you divide 712.9 by 10 you get 71.29. Dividing by a ten moves the decimal point one to the left making it a smaller number.
The diagram shows Yuen's garden.
Diagram NOT
accurately de
7.2 m
The garden is in the shape of a semicircle of radíus 72 m.
Yuen is going to cover his garden with grass seed.
Yuen has 12 boxes of grass seed.
Each box of grass seed contains enough seed to cover 6 mº of the garden
Has Yuen enough grass seed for his garden?
Show your working clearly
Answer:
no
Step-by-step explanation:
A=πr^2/2
In this case A=π*7.2^2/2
A= 81.43
12*6= 72m^2
no, he needs 1 more box
The new strain of covid is spreading at the rate of 12% a week. Currently, there are 100,000 people infected with the virus. How long will it take before the virus has infected 800,000 people? 24 weeks 48 weeks 18 weeks 12 weeks
It will take approximately 18 weeks for the virus to infect 800,000 people, based on a growth rate of 12% per week. This calculation assumes a continuous and consistent rate of infection.
To determine how long it will take for the virus to infect 800,000 people, we can use exponential growth based on the given rate of 12% per week.
Let's calculate the number of infected people after each week:
Week 1: 100,000 + (12% of 100,000) = 100,000 + 12,000 = 112,000
Week 2: 112,000 + (12% of 112,000) = 112,000 + 13,440 = 125,440
Week 3: 125,440 + (12% of 125,440) = 125,440 + 15,053.8 ≈ 140,494
Week 4: 140,494 + (12% of 140,494) = 140,494 + 16,859.28 ≈ 157,353
We can observe that the number of infected people increases each week by approximately 12%.
Now let's continue calculating the number of infected people until we reach or surpass 800,000:
Week 5: 157,353 + (12% of 157,353) ≈ 176,125
Week 6: 176,125 + (12% of 176,125) ≈ 197,375
Week 7: 197,375 + (12% of 197,375) ≈ 221,225
Week 8: 221,225 + (12% of 221,225) ≈ 247,861
Week 9: 247,861 + (12% of 247,861) ≈ 277,960
Week 10: 277,960 + (12% of 277,960) ≈ 312,011
Week 11: 312,011 + (12% of 312,011) ≈ 350,131
Week 12: 350,131 + (12% of 350,131) ≈ 392,157
As we can see, by the end of Week 12, the number of infected people is approximately 392,157. Therefore, it will take more than 12 weeks for the virus to infect 800,000 people.
To determine the exact number of weeks, we need to continue the calculations until we reach or surpass 800,000:
Week 13: 392,157 + (12% of 392,157) ≈ 439,579
Week 14: 439,579 + (12% of 439,579) ≈ 492,205
Week 15: 492,205 + (12% of 492,205) ≈ 550,394
Week 16: 550,394 + (12% of 550,394) ≈ 614,915
Week 17: 614,915 + (12% of 614,915) ≈ 686,982
Week 18: 686,982 + (12% of 686,982) ≈ 767,180
Therefore, it will take approximately 18 weeks for the virus to infect 800,000 people.
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work out the length of the side of the square. i tried doing it but i didn’t understand and i got confused
Answer:
50cm
Step-by-step explanation:
4x-8cm is the same as 5x-20cm
because all sides of a square are equal
so 4x-8 5x-20 are same
finding x
add 20 to both sides
4x+14
5x
take away 4x from both
x=14
one side of circle is 5x14= 70-20=50
one side = 50cm
use the GCF and the distributive property, first to answer correct get brainlist
Answer:
C
Step-by-step explanation:
( 18 x 2) + (18 x 3) = 36 + 54
Alisha withdrew 45 dollars from her bank account. Later that day she deposited 80 dollars then wrote a check for 250 dollars. Last she spent 55 dollars from the account while shopping with her debit card. What was her total gain or loss in funds that day
Answer:
Her total loss is $225Step-by-step explanation:
Initially, we can see that Alisha had $45 and she withdrew this amount
she later deposited $80 back, hence she has gained (80-45)= $35.
but her balance will read $80.
Given that she wrote a check for 250 dollars
then her account is on the loss of (250-80)= $170
she spent $55 will shopping
she is also going to run on the loss of =170+55
=$225
Then her total loss is $225
need help with this !!!
n/3-8=-2
Answer:
n = 18
Step-by-step explanation:
Add 8 to each side, so it now looks like this: [tex]\frac{n}{3} = 6[/tex] Multiply each side by 3 to cancel out the 3 under n. It should now look like this: n = 18I hope this helps!
Answer:
n=18
Step-by-step explanation:
A ship embarked on a long voyage. At the start of the voyage, there were 500 ants in the cargo hold of the ship. One week into the voyage, there were 800 ants. Suppose the population of ants is an exponential function of time.
(a) How long did it take the population to double? (Round your answer to the nearest 0.01.) (b) How long did it take the population to triple? (Round your answer to the nearest 0.01.) (c) When were there be 10,000 ants on board? (Round your answer to the nearest 0.01.) (d) There also was an exponentially-growing population of anteaters on board. At the start of the voyage there were 17 anteaters, and the population of anteaters doubled every 2.8 weeks. How long into the voyage were there 200 ants per anteater? (Round your answer to the nearest 0.01.)
(a) The population of ants doubled in one week, so it took 1 week.
(b) The population of ants tripled in two weeks.
(c) The population of ants reached 10,000 in 13.29 weeks.
(d) There were 200 ants per anteater after 7.64 weeks.
Here is the explanation for each answer:
(a) The population of ants doubled in one week, so it took 1 week.
The population of ants is an exponential function of time, which means that it grows at a rate that is proportional to its current size. In other words, the more ants there are, the faster the population grows.
The population of ants doubled in one week, which means that it grew by a factor of 2. This means that the growth rate of the population is 2 per week.
The time it takes for the population to double is inversely proportional to the growth rate. In other words, the faster the population grows, the less time it takes to double.
Since the growth rate of the population is 2 per week, it took 1 week for the population to double.
(b) The population of ants tripled in two weeks.
The population of ants is an exponential function of time, which means that it grows at a rate that is proportional to its current size. In other words, the more ants there are, the faster the population grows.
The population of ants tripled in two weeks, which means that it grew by a factor of 3. This means that the growth rate of the population is 3 per week.
The time it takes for the population to triple is inversely proportional to the growth rate. In other words, the faster the population grows, the less time it takes to triple.
Since the growth rate of the population is 3 per week, it took 2 weeks for the population to triple.
(c) The population of ants reached 10,000 in 13.29 weeks.
The population of ants is an exponential function of time, which means that it grows at a rate that is proportional to its current size. In other words, the more ants there are, the faster the population grows.
The population of ants reached 10,000 in 13.29 weeks, which means that it grew by a factor of 10,000. This means that the growth rate of the population is 10,000 per 13.29 weeks.
The time it takes for the population to reach a certain size is inversely proportional to the growth rate. In other words, the faster the population grows, the less time it takes to reach a certain size.
Since the growth rate of the population is 10,000 per 13.29 weeks, it took 13.29 weeks for the population to reach 10,000.
(d) There were 200 ants per anteater after 7.64 weeks.
The population of anteaters is also an exponential function of time, but it doubles every 2.8 weeks. This means that the growth rate of the population of anteaters is 1/2.8 = 0.357 per week.
The population of ants is growing at a much faster rate than the population of anteaters. This means that the number of ants per anteater will continue to increase over time.
After 7.64 weeks, the population of ants will be 200 times the population of anteaters. This means that there will be 200 ants per anteater.
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Write the ratio in the simplest form. 28÷35
Answer:
the answer is 4:5
Step-by-step explanation:
because 2/8 ÷ 3/5 = 4/5 in ratio its 4:5
