Using the Russian Peasant Multiplication, 49 x 65 is 3,185.
What is the Russian Peasant Multiplication?The Russian Peasant Multiplication method converts the problem into binary (base 2) multiplication from base 10 by halving the numbers on the first column repeatedly till the second number doesn't become 1 and doubling the numbers on the second column.
Then, add up the numbers in the second column that correspond to odd numbers in the first column to get the result.
49 65
÷ 2 24 130 x 2
12 260
6 520
3 1,040
1 2,080
Add:
65, because we ignored 1 when we divided 49 by 2
1,040, because we ignored 1 when we divided 3 by 2
2,080
= 3,185
Check:
49 x 65 = 3,185
Based on the Russian Peasant Multiplication method, the product of 49 x 65 is 3,185.
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Let F(x) = xet^2 dt for x ∈ [0, 1]. Find F''(x) for x
∈ (0, 1).
4. Let F(x) = Só xetdt for x € [0,1]. Find F"(x) for x € (0,1). (Al- = ) though not necessary, it may be helpful to think of the Taylor series for the exponential function.)
To find the second derivative of F(x) = [tex]\int\limits^0_x {e^t}^{2} } } \, dx[/tex] dt for x ∈ (0, 1), we can use the fundamental theorem of calculus and apply the chain rule twice. The second derivative is given by F''(x) = [tex]2e^{x^{2} } (1+2x^{2} )[/tex]
To find F''(x), we differentiate F'(x) first. Using the fundamental theorem of calculus, we have F'(x) = [tex]e^{x^{2} }[/tex]. Applying the chain rule, we obtain d/dx([tex]e^{x^{2} }[/tex]) = [tex]2xe^{x^{2} }[/tex].
Now, to find F''(x), we differentiate F'(x) with respect to x. Applying the chain rule again, we have d/dx([tex]2xe^{x^{2} }[/tex]) = [tex]2e^{x^{2} }[/tex] + [tex]4x^{2} e^{x^{2} }[/tex]. Simplifying this expression, we get F''(x) = 2[tex]e^{x^{2} }[/tex](1 + [tex]2e^{x^{2} }[/tex]).
Therefore, the second derivative of F(x) is given by F''(x) = 2[tex]e^{x^{2} }[/tex](1 + 2[tex]{x^{2} }[/tex]) for x ∈ (0, 1). This result shows that the second derivative is always positive for x ∈ (0, 1), indicating that the function is concave up within that interval.
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A person borrows a certain amount of money. He has to pay the debt in equal installments once every month, for 10 years. The first installment was paid on 2016-01-01. Find the date on which he has to pay the final installment.
Answer: January 1, 2025
Step-by-step explanation:
The debt is due to be paid back in 10 years.
If the first payment was in 2016, the last payment should therefore be:
= 2016 + 9 years
= 2025
We used 9 years because 2016 was the first year of payment so the remaining years would be 9 years.
As the first payment was on January 1, 2016, the last payment would have to be on the same date in 2025 which is:
= January 1, 2025
What is a volume of this composite solid?
Shape a = 6 x 4 x 3 = 72
Shape b = 4 x 4 x 4 = 64
72 + 64 = 136
A
Answer:
A
Step-by-step explanation:
There were about 1.16 million Hispanic-owned businesses in 1999 and 1.53 million in 2003. Find an exponential model for this data in which t = 0 corresponds to 1999 and the number of businesses is measured in millions.
The exponential model for the data on Hispanic-owned businesses is N(t) =[tex]1.16 e^{(0.084t)[/tex], where t represents the number of years since 1999 and N(t) is the number of businesses in millions.
To find an exponential model for the data, we need to fit it into the general form of an exponential function: N(t) = ae^(kt).
Let's assign t = 0 to correspond to the year 1999 and N(t) represents the number of businesses in millions. We are given two data points: (t=0, N=1.16) and (t=4, N=1.53).
Plugging in the first data point, we have:
1.16 = ae^(k*0) => 1.16 = a.
Next, plugging in the second data point, we get:
1.53 = ae^(4k).
Now, we can substitute a = 1.16 into the second equation:
1.53 = 1.16 e^(4k).
Dividing both sides of the equation by 1.16:
1.32 = e^(4k).
Taking the natural logarithm (ln) of both sides:
ln(1.32) = 4k.
Solving for k:
k = ln(1.32)/4.
Now, we have the values of a = 1.16 and k = ln(1.32)/4. Therefore, the exponential model for the data is:
N(t) = 1.16 * e^((ln(1.32)/4) * t), where t represents the number of years since 1999, and N(t) is the number of businesses in millions.
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In a recent year, a research organization found that 228 of the 350 respondents who reported earning less than $30,000 per year said they were social networking users. At the other end of the income scale, 290 of the 472 respondents reporting earnings of $75,000 or more were social networking users. Let any difference refer to subtracting high-income values from low-income values. Complete parts a through d below. Assume that any necessary assumptions and conditions are satisfied. a) Find the proportions of each income group who are social networking users. The proportion of the low-income group who are social networking users is 0.6514 The proportion of the high-income group who are social networking users is 0.6144 (Round to four decimal places as needed.)
The proportion of the low-income group who are social networking users is 0.6514.
The proportion of the high-income group who are social networking users is 0.6144.
We have the following information from the question:
A research organization found that 228 of the 350 respondents who reported earning less than $30,000 per year said they were social networking users.
Another income scale, 290 of the 472 respondents reporting earnings of $75,000 or more were social networking users.
We have to find proportions of each income group who are social networking users.
Low-income group:
228 users / 350 respondents = 0.6514
The proportion of the low-income group who are social networking users is 0.6514.
High-income group:
290 users / 472 respondents = 0.6144
The proportion of the high-income group who are social networking users is 0.6144.
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PLEASE HELP ME I WILL MARK BRAINLIEST
Answer:the answer is solid B
Step-by-step explanation:
Oh your on edmentum I hate it there is so much work but I can help I'm a math master I'm top 3 smartest at math in my whole school.
The graph of f(x) = x3 + x2 - 9x - 9 is shown.
Based on the graph, what are the solutions of x3 + x2 -
9x-9 = 0?
15
12
O x= -1,3
O x = -3, -1
O x= -3,-1,3
O x= -9, -3, -1,3
9
6
3
-5
4
-2
1
2.
4
X
3
-9
- 12
-15
Save and Exit
Next
Submit
Mark this and return
Answer:
-1, 3, -3
Step-by-step explanation:
I don't see the graph, but you can solve by factoring:
[tex]x^3+x^2-9x-9=0\\x^2(x+1)-9(x+1)=0\\(x+1)(x^2-9)=0\\(x+1)(x+3)(x-3)=0[/tex]
By the factor theorem, the solutions of f(x) are -1, 3, and -3.
The requried solutions of x³ + x² - 9x - 9 = 0 is x = -3, -1, 3. Option C is correct.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.
Here,
To find the solutions of equation x³ + x² - 9x - 9 = 0, we need to find the x-intercepts of the graph of the function f(x) = x³ + x² - 9x - 9.
From the graph, we can see that the function intersects the x-axis at three points, which are approximately -3, -1, and 3. Therefore, the solutions of the equation are x = -3, x = -1, and x = 3.
Thus, the correct answer is x = -3, -1, 3.
Options A, B, and D are incorrect because they either do not include all three solutions or include additional solutions that are not present in the graph of the function.
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Help me with this answer please
The point that is NOT 5 units away from the point (1,4) is (4,0).
What is the answer to this problem? 23% of 219
Answer:
50.37
Step-by-step explanation:
Answer: 50.37
Step-by-step explanation:
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Answer:
Step-by-step explanation:
h
How many meters are equal to 3,736 centimeters? Use how the placement of the decimal point changes when dividing by a power of 10 to help you.
Answer:
37.36 meters are equal to 3,736 centimeters.
Step-by-step explanation:
We have that 1 meter is equal to 100 centimeters, so if we want to convert 3,736 cm to m we need to divide by 100:
[tex] x = 3,736 cm*\frac{1 m}{100 cm} = 3,736 cm*\frac{1 m}{10^{2} cm} [/tex]
When we divide a number by a power of 10, we move the decimal point to the left as many places as the power indicates.
Since we are dividing by 10², we need to move the decimal point two places to the left, as follows:
[tex] x = 3,736 cm*\frac{1 m}{10^{2} cm} = 37.36 m [/tex]
Hence, 37.36 meters are equal to 3,736 centimeters.
I hope it helps you!
In macroeconomics, the economy can best be understood through the use of
money.
models.
pricing.
debates.
Answer:
models
Step-by-step explanation:
Answer: B.) Models
Edge
plz tell about congruent and similar triangles
Similar: If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
____________________________________________________________
Congruent: SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
Please please please help me with this pleasseee!!!
[tex]\Large\boxed{\tt Answer:~A:~y=-3x+5}[/tex]
All we have to do in order to find the equation that is equivalent to 6x + 2y = 10 is to solve for y.
Step 1: Keep y on one side of the equation and move the rest to the other.
[tex]\tt 6x + 2y = 10\\2y = -6x + 10[/tex]
Step 2: Divide all terms by 2 to isolate y.
[tex]\tt 2y \div 2=y\\-6x \div 2 = -3x\\10 \div 2 =5\\\\y=-3x+5[/tex]
Bart designed a logo using circles of different sizes. The diameters of three of the circles are
shown. Which measurement is closest to the area of the largest circle in square centimeters?
A 20.7 cm2
B 136.8 cm2
C 34.2 cm2
D 65.1 cm
Answer:
B 136.8 cm²
Step-by-step explanation:
Add the diameters of the three smaller circles to find the diameter of the largest circle.
D = 3 cm + 2.5 cm + 1.1 cm = 6.6 cm
area = πr²
area = 3.14 × (6.6 cm)²
area = 136.8 cm²
PLEASE SHOW YOUR WORK!!!!!!!!
A basket of beads contains: 8 red beads, 6 yellow beads, and 6 green beads. A bead will be drawn from the basket and replaced 60 times. What is the reasonable prediction for the number of times a green bead is drawn
I WILL MARK BRAINLIEST!!
Answer:
18 times a green bead is drawn
Step-by-step explanation:
There are 20 beads in the basket. The probability of picking a green bead is 6/20 = 3/10. That means that a green bead would be picked 3/10 of the time.
So, 3/10(60) = 18 times a green bead is drawn
A bathtub holds 525,000 mL of water. How many liters is this? O A 52.5 L B 525 L o c. 5.250 L O D. 52,500 L
Answer:
B. 525 L
Step-by-step explanation:
Find the slope: numbers are: (1,-3) and (-5,-4)
[tex]\frac{-3 - (-4)}{1 - (-5)}[/tex]
= [tex]\frac{-3 + 4}{1 + 5}[/tex]
= 1/6
Answer: the slope is 1/6what is the volume of the right triangle prism shown
Answer:
42cm3
Step-by-step explanation:
v = 0.5× b × h × l
= 0.5 × 4 × 3 × 7
= 42cm3
Two numbers sum to 312 and have a difference of 210. What are the two numbers?
Answer:
51 and 261
Step-by-step explanation:
Let the numbers be x and y
x + y =312
x - y =210
2y=102
y=51
x=312-51=261
Let A {2, 3, 4}, B = { 3, 4, 5, 6}, and suppose the universal set is U = {1, 2, ..., 9}. List all elements in
a. (A U B)' (' - means complement)
b. (A ∩ B) x A
The solutions are: (A U B)' = {1, 7, 8, 9} and (A ∩ B) x A = {(3, 2), (3, 3), (3, 4), (4, 2), (4, 3), (4, 4)}.
a. (A U B)' represents the complement of the union of sets A and B. To find (A U B)', we need to list all the elements in the universal set U that are not in the union of sets A and B. The union of sets A and B, A U B, includes all the elements that are in either set A or set B (or both). So, A U B = {2, 3, 4, 5, 6}. The complement of A U B, (A U B)', will contain all the elements in the universal set U that are not in the set A U B. Therefore, (A U B)' = {1, 7, 8, 9}.
b. (A ∩ B) x A represents the Cartesian product of the intersection of sets A and B with set A. To find (A ∩ B) x A, we need to list all possible ordered pairs that can be formed by selecting one element from the intersection of sets A and B and pairing it with an element from set A. The intersection of sets A and B, A ∩ B, contains the elements that are common to both sets A and B. In this case, A ∩ B = {3, 4}.
Now, we take each element from A ∩ B and pair it with each element from set A. So, (A ∩ B) x A = {(3, 2), (3, 3), (3, 4), (4, 2), (4, 3), (4, 4)}. Therefore, (A U B)' = {1, 7, 8, 9} and (A ∩ B) x A = {(3, 2), (3, 3), (3, 4), (4, 2), (4, 3), (4, 4)}.
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1) Which of the following can cause OLS estimators to be biased? Which of the following do not cause the usual OLS t statistics to be invalid (that is, to have t distributions under H0)? (6 points)
Omitting an important independent variable
Multicollinearity
Heteroskedasticity
Including irrelevant variable
The error term non-normally distributed
The following can cause OLS estimators to be biased: Omitting an important independent variable.
Multicollinearity. Heteroskedasticity, Including an irrelevant variable.
The following does not cause the usual OLS t statistics to be invalid (that is, to have t distributions under H0): The error term non-normally distributed
OLS (ordinary least squares) estimates are typically unbiased when calculated.
However, the following problems may cause OLS estimates to be biased:
Omitting an important independent variable: When an important independent variable is omitted from the regression equation, the OLS estimate of the effect of one variable on the dependent variable is biased.
In particular, the estimate of the effect of the variable that is omitted is influenced by the remaining variables' presence in the equation.
Multicollinearity: When the independent variables in a multiple regression model are strongly related, multicollinearity exists.
When there is multicollinearity in a model, the estimated slope coefficients are frequently biased, making them difficult to interpret.
In this scenario, small changes in the data may cause substantial changes in the estimated coefficients.
As a result, the usual tests of hypothesis may fail to produce reliable inferences.
Heteroskedasticity: In the population, heteroskedasticity exists when the variance of the error term is not constant across observations.
Heteroskedasticity can induce OLS estimates' variance to be biased, even if the estimates are unbiased themselves.
When there is heteroskedasticity, the OLS estimates are no longer BLUE (best linear unbiased estimator).
Including irrelevant variable: When an irrelevant variable is included in a regression equation, the OLS estimates of the other variables' effects are biased, and the estimates' standard errors are larger than necessary.
The error term non-normally distributed: When the error term in a regression equation is non-normally distributed, the distribution of the OLS estimates is also non-normal.
However, this does not affect the distribution of the t statistics under H0.
The reason for this is that, even if the error term is non-normally distributed, the sample mean converges to the population mean, according to the central limit theorem.
Furthermore, the standard error of the mean is unaffected by the distribution of the error term, as long as the sample size is large enough.
As a result, the t statistics can be trusted to be asymptotically normally distributed under H0.
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Which expression is equivalent to 10(−45x+3)−2x?
−8x+3
−10x+3
−10x+30
−30x+30
Answer:
-10x+30
Step-by-step explanation:
just got it right on edg 2021 :)
None of these are correct
PLEASE HELP FAST!!! I WILL GIVE BRAINLIEST!!!
Answer:
38 ft ^2
Step-by-step explanation:
8x 3 = 24
1/2(4)(3) = 6
1/2(4)(4) = 8
24+6+8 = 38ft^2
estado tratando esto por mucho tiempo
Answer:
1/2
Step-by-step explanation:
Paso Uno: [tex]\frac{5}{1}* \frac{5}{1} *\frac{5}{1}* \frac{5}{1} *\frac{5}{1}[/tex]* 1/10= 5/10
Paso Dos: Simplificar:
5/5=1
10/5=2
Paso Tres: fracción es 1/2
Find the cost of cat food for a 29-day supply, a 30-day supply, and a 31-day supply
Answer:
not a complete question..
Step-by-step explanation:
help ASAP Ill mark u brainliest
Answer:
30% or none of these
Step-by-step explanation:
since least of the girls voted for biking it would be the least percent amount.
Hope this helped and have a wonderful day! <3 :))
Can someone match all of these definitions to all five words for me? I’m very confused but I’ll mark brainlist if you do at least 4! Please and thanks
Solution: Any value for a variable that makes the equation true.
Reciprocal: Focuses on the use of multiplication and division
Coefficient: A number that is multiplied by a variable in an algebraic expression is a coefficient
Term: A term of an algebraic expression is a number, variable, or product of numbers and variables
Base: The base of a power is the factor that is multiplied repeatedly in the power.
Hope this helps, and have a great day!
Answer:
Solution: any value for a variable that makes an equation true
Reciprocal: focuses on use of multiplication and division
Coefficient: A number being multiplied by a variable in an algebraic expression
Base: the base of a power is a factor that is multiplied repeatedly in power
u got the term definition right
Step-by-step explanation:
∠A and \angle B∠B are vertical angles. If m\angle A=(7x-8)^{\circ}∠A=(7x−8)
∘
and m\angle B=(6x+17)^{\circ}∠B=(6x+17)
∘
, then find the value of x.
A 12-sided solid has faces numbered 1 to 12. The table shows the results of rolling the solid 200 times. Find the experimental probability of rolling a number less than 3 .
Answer:
The experimental probability of rolling anumber less than 3 is 3/20
Step-by-step explanation:
16+14=30
30/200
=3/20
Answer:
7/50
Step-by-step explanation: