Simplify each of the following and leave answer in standard form to 3 decimal places.
(3. 05 x 10 ^ -7) (8. 67×10 ^ 4)
Answers
The simplified standard form of (3.05 x 10⁻⁷) (8.67 x 10⁴) is 2.642 x 10⁻¹.
To simplify (3.05 x 10⁻⁷) (8.67 x 10⁴) and leave the answer in standard form to 3 decimal places:
1: Multiply the decimal numbers:
3.05 * 8.67 = 26.4245
2: Add the exponents:
-7 + 4 = -3
3: Combine the result and exponent in standard form:
26.4245 x 10⁻³
4: Adjust the decimal to have only one non-zero digit to the left of the decimal point and adjust the exponent accordingly:
2.64245 x 10² x 10⁻³
5: Simplify by combining exponents:
2.64245 x 10⁻¹
6: Round to 3 decimal places:
2.642 x 10⁻¹
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Related Questions
Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Answers
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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What pleASE help IM TRYING TO HELP MY BROTHER THIS IS EMBARR
Answers
Answer:
9/5 ft.
Step-by-step explanation:
9/10 + 9/10 = 18/10 = 9/5
PLEASE HELP ME ITS DUE TODAY
Answers
Answer:
Scale factor would be 90.
Step-by-step explanation:
1.8m = 180cm
Height of man - 180cm
Photo height of man - 2 cm
To get from 2 - 180, you have to multiply by 90
Help me pleaseee !!!!!!
Answers
Find the equation of a line parallel to y + 9 = -3/2x that passes through the point (-8,9)
Answers
slope intercept form:
y = mx + b (where m = slope
and b = y-intercept)
simply subtract 9 from both sides of the given equation to get slope intercept form of the first line:
y + 9 = -3/2x
y + 9 - 9 = -3/2x - 9
y = -3/2x - 9
so the slope (m) = -3/2
the problem tells us a point on the second line (x,y) or (-8,9)
and we now know slope is -3/2
so let’s plug those in and solve for the y-intercept (b) of the second line.
y = mx + b
9 = -3/2(-8) + b
9 = 12 + b
9 - 12 = 12 - 12 + b
-3 = b
so now we know the slope (m) of both lines is -3/2 and the y-intercept (b) of the second line is -3
all we have to do is use the information to establish slope intercept form of the equation of the second line:
y = mx + b
y = -3/2x - 3
The answer is: y = -3/2x - 3
check your answer by plugging the point (-8,9) back in to your equation
9 = -3/2(-8) - 3
9 = 12 - 3
9 = 9 [TRUE]
What evidence is needed to prove two triangles are similar by the SSS similarity theorem?
Answers
Consider the same figure as given above. It is observed that DP/PE = DQ/QF and also in the triangle DEF, the line PQ is parallel to the line EF.
So, ∠P = ∠E and ∠Q = ∠F.
Hence, we can write: DP/DE = DQ/DF= PQ/EF.
The above expression is written as
DP/DE = DQ/DF=BC/EF.
It means that PQ = BC.
Hence, the triangle ABC is congruent to the triangle DPQ.
(i.e) ∆ ABC ≅ ∆ DPQ.
Thus, by using the AAA criterion for similarity of the triangle, we can say that
∠A = ∠D, ∠B = ∠E and ∠C = ∠F.
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Byron earns $11.00 per hour. How many hours will Byron have to work to earn $143.00?
7.7 hours
13.0 hours
14.3 hours
15.7 hours
Answers
Answer:
13.0 hours
Step-by-step explanation:
$143 ÷ $11 (how he gets payed per hour) = 13 hours
Byron has to work 13 hours to earn $143 dollars
Answer:
\(Byron \: will \: have \: to \: work \: for \\ \: 13\: hrs \: to \: earn \: 143\)
\(let \: the \: number \: of \: hrs \: = x \\ then \\ for \: the \: salary \: of \: \: 143 \: \\ the \: earning \: \times \: the \: time \: (x) = 143 \\ so \: 11x \: = 143 \\ x = \frac{143}{11} = 13.\)
if rx y= 0.83, then we can conclude that x and y have a relatively
Answers
If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.
The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.
In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.
It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.
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Carson bought a coat for 40% off the original price. The store was having an additional sale that offered another 15% off the discounted price. If the coat originally cost $149, what was the final sale price that Carson paid? What was the 40% discount?
Answers
35. the set, s consists of 900,000,000 whole numbers, each being the same number of digits long. howmany digits long is a number from s? (hint: use the fact that a whole number cannot start with the digit 0.)
Answers
Answer:
9 digit longLet the number of digits be n and the number of elements in set be s.
When n = 1The set contains 1-digit numbers, 1 through 9,The set consists of 10 - 1 = 9 numbers.When n = 2The set contains 2-digit numbers, 10 through 99,The set contains 100 - 10 = 90 numbers.When n = 3The set contains 3-digit numbers, 100 through 999,The set contains 1000 - 100 = 900 numbers.The pattern we see helps us determine the relationship between s and n as follows.
When set contains n-digit numbers, the set contains:
s = 10ⁿ - 10ⁿ⁻¹ = 10ⁿ⁻¹(10 - 1) = 9*10ⁿ⁻¹ elementsWe have s known, substitute it into equation above and solve for n:
900000000 = 9*10ⁿ¹100000000 = 10ⁿ⁻¹10⁸ = 10ⁿ⁻¹n - 1 = 8n = 9The numbers in the set s are 9-digit long.
Here is some information about a group of 20 children.
Boys
Girls
Left-handed
3
2
Right-handed
9
6
A child is chosen at random from the group.
a)
What is the probability that the chosen child is a girl?
Give your answer as a fraction.
b)
What is the probability that the chosen child is a left-handed girl?
Give your answer as a fraction.
Answers
Answer:
a) 8/20 = 8 is the total of the girls and 20 is the total of the kids
b)2/20 = 2 is the total of girls that are left handed and 20 is the total of the kids
The sail of a boat is in the shape of a right triangle, as shown below:
The sail of a boat is a right triangle with an acute angle equal to 40 degrees and the side adjacent to the 40 degrees angle is
Which expression shows the height, in meters, of the sail? (6 points)
Select one:
a. 2 divided by sec 40 degrees
b. 2 cosec 40°
c. 2 sin 40°
d. 2 divided by cot 40 degrees
Answers
Answer:
D
Step-by-step explanation:
Answer: 2 divided by cot 40 degrees
Step-by-step explanation: ima nerd
Which statement below is not possible as an alternative hypothesis in an analysis of variance?
a. µ1 ≠ µ2 ≠ µ3
b. µ1 = µ2 but µ3 is different
c. Each of these are possible alternative hypotheses.
d. µ1 = µ3 but µ2 is different
Answers
The statement that is not possible as an alternative hypothesis in an analysis of variance is: c. Each of these are possible alternative hypotheses. The correct option is c.
In an analysis of variance (ANOVA), the alternative hypothesis should make a specific claim about the differences between the means of the groups being compared.
Option c suggests that all of the given alternatives are possible, which is not true. Each alternative hypothesis should specify the relationship between the means of the groups being compared.
Option c is the correct answer.
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M+N y^{\prime}=0 has an integrating factor of the form \mu(x y) . Find a general formula for \mu(x y) . (b) Use the method suggested in part (a) to find an integrating factor and solve
Answers
The solution to the differential equation is y = (-M/N)x + C.
(a) To find a general formula for the integrating factor μ(x, y) for the differential equation M + Ny' = 0, we can use the following approach:
Rewrite the given differential equation in the form y' = -M/N.
Compare this equation with the standard form y' + P(x)y = Q(x).
Here, we have P(x) = 0 and Q(x) = -M/N.
The integrating factor μ(x) is given by μ(x) = e^(∫P(x) dx).
Since P(x) = 0, we have μ(x) = e^0 = 1.
Therefore, the general formula for the integrating factor μ(x, y) is μ(x, y) = 1.
(b) Using the integrating factor μ(x, y) = 1, we can now solve the differential equation M + Ny' = 0. Multiply both sides of the equation by the integrating factor:
1 * (M + Ny') = 0 * 1
Simplifying, we get M + Ny' = 0.
Now, we have a separable differential equation. Rearrange the equation to isolate y':
Ny' = -M
Divide both sides by N:
y' = -M/N
Integrate both sides with respect to x:
∫ y' dx = ∫ (-M/N) dx
y = (-M/N)x + C
where C is the constant of integration.
Therefore, the solution to the differential equation is y = (-M/N)x + C.
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2. if a sample has a mean of 100 and standard deviation of 6, what value would correspond the the z-score of 2?
Answers
The z-score of 2 for a sample has a mean of 100 and a standard deviation of 6 is 112.
The value that would correspond to the z-score of 2 for a sample with a mean of 100 and standard deviation of 6 can be calculated using the formula for z-score:
z = (x - mean) / standard deviation
In this case, we want to find the value of x that corresponds to a z-score of 2. We can rearrange the formula to solve for x:
x = (z * standard deviation) + mean
Substituting the values given in the question:
x = (2 * 6) + 100
x = 12 + 100
x = 112
Therefore, the value that corresponds to the z-score of 2 for this sample is 112.
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16. 8x5 – 16x4 + 8x3
Answers
Answer:
it is 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
Once you simplify the equation, you get 40-64+24. When you use 40+24, you get 64 which cancles out the other 64
Write three different expressions in any form equivalent to each given expressions below.
Answers
Answer:
3^-3 for the first answer. The second answer is 3^7.
Step-by-step explanation:
If you multiply two numbers with the same base and exponents, the exponents are added up.
If you divide two numbers with the same base and exponents, the numerator would subtract the denominator.
So the answer to the first question is 3^-3. The second answer would be 3^7.
Topology question. Answer only subpart a. Need Asap.
3. Let (X, Jx) and (Y, Ty) be topological spaces defined as follows: X = {D, O, R, K} Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X} Y = {M, A, T, H} Jy = {0, {M}, {M, A}, {M, A, T}, Y} (a) Let E= {0, K
Answers
Given the topological spaces X = {D, O, R, K} with the topology Tx and Y = {M, A, T, H} with the topology Jy, we are asked to determine whether the set E = {0, K} is open in X and open in Y.
To determine whether the set E = {0, K} is open in the topological spaces X and Y, we need to check if E belongs to the respective topologies, Tx and Ty.
In X, the topology Tx is given by: Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X}. We can see that E = {0, K} is not explicitly listed in Tx. Therefore, E is not open in X since it does not belong to the topology.
In Y, the topology Ty is given by: Jy = {0, {M}, {M, A}, {M, A, T}, Y}. Again, E = {0, K} is not explicitly listed in Ty. Hence, E is not open in Y as it does not belong to the topology.
In both cases, the set E = {0, K} is not open in the respective topological spaces X and Y because it is not a member of the defined topologies.
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Pls help this set question
Answers
1: True
2: False
3: False
4: True
5: False
6: True
Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not unique. Enter your answer as a comma-separated list of vectors.) u = <6, ?3, 7>
2.Find the area of the triangle with the given vertices.
Hint: 1/2 is the area of the triangle having u and v as adjacent ||u ? v|| as adjacent sides
A(6, ?7, 8), B(0, 1, 2), C(?1, 2, 0
)
Answers
The area of the triangle is A = 1/2 ||u × v|| ≈ 41.71.Therefore, the answer is approximately 41.71.
Two vectors in opposite directions that are orthogonal to the vector u = <6, -3, 7>, we will use the cross product. The cross product of two vectors is a vector that is orthogonal to both vectors. Therefore, if we take the cross product of u with two other vectors, the resulting vectors will be orthogonal to u and to each other.There are many possibilities for choosing two vectors to take the cross product with, but one way to do it is as follows:Let v = <1, 0, 0>. Then, v × u = <0, -7, -3>.Let w = <0, 1, 0>. Then, w × u = <-7, 0, -6>.So, two vectors in opposite directions that are orthogonal to u are <0, -7, -3> and <-7, 0, -6>.Therefore, the answer is <0, -7, -3>, <-7, 0, -6> (order doesn't matter).2. To find the area of the triangle with vertices A(6, -7, 8), B(0, 1, 2), and C(-1, 2, 0), we can use the formula A = 1/2 ||u × v||, where u and v are two sides of the triangle (in any order) and ||u × v|| is the magnitude of the cross product of u and v. For example, we can take u = AB and v = AC. Then, u = <-6, 8, -6> and v = <-7, 9, -8>, so u × v = <-6, 35, 78>. The magnitude of this vector is ||u × v|| = sqrt(6² + 35² + 78²) ≈ 83.41. Therefore, the area of the triangle is A = 1/2 ||u × v|| ≈ 41.71.Therefore, the answer is approximately 41.71.
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Tara's and jody's bedrooms are shaped like rectangles. tara's bedroom is 9ft long and 8ft wide. jody's bedroom is 7ft long and 10ft wide.whose bedroom has the greater area??
Answers
Tara's bedroom has the greater area of 72 square feet.
We have to calculate the area of each rectangle.
Area of a rectangle is given by the formula:
A= l * w
where l is the length and w is the width of the rectangle.
Tara's bedroom is 9 ft long and 8 ft wide,
the area of Tara's bedroom is :
A = l * w= 9 ft * 8 ft= 72 square feet
Jody's bedroom is 7 ft long and 10 ft wide,
the area of Jody's bedroom is:
A = l * w= 7 ft * 10 ft= 70 square feet
Therefore, Tara's bedroom has a greater area of 72 square feet.
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1. How can a table be used to find the rate of change and the initial value? Describe the process.
2. How do you find rate of change using a graph?
Answers
Answer:
1. Pattern. 2. I don't know that one
Step-by-step explanation:
For finding the rate with a table all you do is look how far the numbers are jumping each time. Example: x: 1, 3, 5, 7, 9 y: 2, 4 ,6 ,8 , 10
Both the x and y follow a pattern, though its not the same, its still a pattern
(The Constant rate of change for x is 2 as it goes up 2 every time and the constant rate of change for y is also 2 as it goes up by 2 every time
5. Mila is preparing to travel from the United States to Belgium, a member of the European Union, and wants to exchange $80 USD to euros. She finds that the curren exchange rate is €0.85 EUR to $1 USD. If Mila exchanges $80 USD, how much mone will she receive in euros? (Example 4)
Answers
Mila will receive 68 EUROS of money after the exchange of 80 US dollar.
What is meant by USD?USD is the official money currency of united states of America.. its symbol of representation is $., also value of 1 US$ =82 rupee.
What is meant by EURO?Unit of money used in other countries of European union is known as euro, also value of 1 EURO=87 rupee.
According to the given data in the question,
1 USD =0.85 EURO
80 USD = 0.85*80 EURO
80 USD= 68 EURO
Hence 80USD will be converted to 68 EUROS
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Question 7 (1 point)
Write an inequality that represents the following situation. Write the inequality in standard form using x as your variable.
Four more than a number is greater than or equal to five
4x > 5
x+4>5
X+425
4x>5
Answers
Answer:
So it has to be the one with the symbol with ≥. Cause it doesnt show in the answers. Hope this helps.
Step-by-step explanation:
A closet in Aiden's house is 5 feet by 4 feet. How much would it cost to put a new floor in the closet if the flooring costs $0.56 per square foot?
$__
Answers
Answer:
20.56$
Step-by-step explanation:
A closet in Aiden's house is 5 feet by 4 feet. How much would it cost to put a new floor in the closet if the flooring costs $0.56 per square foot?
$__
Explanation:
The floor area is 5*4 = 20 square feet, assuming we're dealing with a rectangle. The total cost is the result of multiplying the unit price (0.56 dollars) with the overall area.
cost = 0.56*20 = 11.20 dollars
Which of the following is equivalent to the expression below?
3(5-2i)
Answers
Answer: 15 - 6i
Step-by-step explanation:
3(5-2i)
3×5+3×(−2i)
Do the multiplications.
15−6i
Select all that apply.
6+3+2
6x3+6x2
6x3+2
6x5
6(3+2)
6x3x2
Answers
Answer:
6(3 + 2)
Step-by-step explanation:
Area = lb. where l = 6 and b = (3+2)
measure the angle of 10x+10
Answers
Answer:
We know that opposite angle are congruent.
\(10x + 10 = 11x + 3 \\ \\ 10x - 11x = - 7 \\ - x = - 7 \\ x = 7\)
So, We found out that x = 7,
So, Putting x = 7 in 10x+10
\(10 \times 7 + 10 \\ \\ = 70 + 10 \\ \\ = 80\)
So, The measure of angle 10x+10 is 80.
A pizza restaurant is having a contest. The restaurant advertises that one out of every 25 customers will win a small pizza. What is the probability that a customer will win?
Answers
PLEASE HELP I’LL GIVE 100 POINTS.
