Answer:
5.8
Step-by-step explanation:
The 7 looks at the 5 so it goes up
what is the result of 2.130 x 10³ - 6.6 x 10² =
Answer:
The answer you're looking for is 1470.
Step-by-step explanation:
The method I used was PEMDAS
Since there was no parenthesis, I simplified the exponents.
2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?
After that, I multiplied all terms next to each other.
2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?
The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.
1470 = ?
I hope this was helpful!
REALLY EASY!! NO NEED TO EXPLAIN
Answer: 3.9 foot
Step-by-step explanation: because if u convert it, that's the answer
Answer: It would be 1 foot because there are 3 feet in every yard and 1/3 of 3 is 1
Step-by-step explanation: hope it helps if its right can I have Brainly?
one more than the reciprocal of a particular number is $\frac{7}{3}$. what is the original number expressed as a common fraction?
Original number = $\frac{3}{4}$. The original number expressed as a common fraction is $\frac{3}{4}$.
1. Reciprocal: This is the result of switching the numerator and denominator of a fraction (or dividing 1 by a whole number).
2. Original number: This is the number we're trying to find.
3. Common fraction: This is a fraction where the numerator and denominator are both integers (whole numbers).
Step 1: Set up the equation using the given information.
One more than the reciprocal of the original number is $\frac{7}{3}$. We can express this as an equation:
Reciprocal of the original number + 1 = $\frac{7}{3}$
Step 2: Solve for the reciprocal of the original number.
Reciprocal of the original number = $\frac{7}{3}$ - 1
Step 3: Simplify the equation.
Reciprocal of the original number = $\frac{7}{3}$ - $\frac{3}{3}$
Reciprocal of the original number = $\frac{4}{3}$
Step 4: Find the original number.
Since we have the reciprocal of the original number, we can find the original number by taking the reciprocal of this value:
Original number = $\frac{1}{(\frac{4}{3})}$
Step 5: Simplify the expression.
Original number = $\frac{1}{1} \times \frac{3}{4}$
Original number = $\frac{3}{4}$
The original number expressed as a common fraction is $\frac{3}{4}$.
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A line contains the points
( - 2, – 8) and (3,5).
What is the slope of the line?
HELP WOULD BE APPRECIATED
Answer:
Below
Step-by-step explanation:
Domain 'x' can be any value except 10 <====which would make the denominator = 0 which is not allowed
(-∞, 10 ) U (10 , +∞)
Range : horizontal asymptote the degree of the numerator and the denominator is the same : 1 so the horizontal asymptote will be
3 / -1 = -3 ( The coefficients of 'x' in the num and den)
the vertical asymptote occurs at x = 10 ...then the value of y goes to + inf
so range is ( -3, +∞)
Inverse Does exist , switch x's and y's in the original equation
x = (3y+1) / (10-y) now solve for y
and you will get f^-1 (x) = (10x-4) / (x+3)
Here is graph of f(x) , f^-1(x) and x=y :
you want to obtain a sample to estimate how much parents spend on their kids birthday parties. based on previous study, you believe the population standard deviation is approximately dollars. you would like to be 99% confident that your estimate is within 10 dollar(s) of average spending on the birthday parties. how many parents do you have to sample?
We need to survey at least 67 parents who have recently thrown a birthday party for their child to estimate the average spending with a 99% confidence level and a margin of error of $10, assuming the population standard deviation is approximately $50
To determine the sample size needed to estimate how much parents spend on their kids' birthday parties, we can use the formula:
n = (zα/2 * σ / E)²
where:
n = sample size
zα/2 = z-score for the desired confidence level (99% confidence corresponds to z-score of 2.576)
σ = population standard deviation (given as approximately $X)
E = margin of error (given as $10)
Substituting the values given, we get:
n = (2.576 * X / 10)²
Since we don't know the value of X, we cannot compute the exact sample size. However, we can estimate the sample size by assuming a reasonable value for X. For example, if we assume X = $50, then:
n = (2.576 * 50 / 10)²= 66.57
To estimate how much parents spend on their kids' birthday parties with a 99% confidence level and a margin of error of $10, we need to determine the sample size. Using the formula for sample size, we can estimate that we would need at least 67 parents to participate in the study assuming the population standard deviation is approximately $50. This means that we need to randomly select and survey 67 parents who have recently thrown a birthday party for their child to obtain an estimate of the average spending.
In summary, we need to survey at least 67 parents who have recently thrown a birthday party for their child to estimate the average spending with a 99% confidence level and a margin of error of $10, assuming the population standard deviation is approximately $50. However, if the population standard deviation is higher than this assumption, we would need a larger sample size to obtain a more accurate estimate.
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Multivariate problem 5 only
step by step solution needed
I will vote your answer
5. Let XPx1 be a random vector with Disp(X) = E. Let m(< p) factor model hold for X and let Σ LL+. Explain the method of estimating L and using principal component analysis and give a measure of clos
The problem describes a multivariate setting with a random vector XPx1 and assumes that a factor model holds for the vector X. The objective is to estimate matrix L using principal component analysis (PCA) and provide a measure of closeness.
In this problem, we have a random vector XPx1, and it is given that a factor model holds for X. A factor model represents the relationship between observed variables and unobserved factors. Let's assume that X follows a factor model: X = LF + e, where L is a Pxk matrix representing the factor loadings, F is a kx1 vector of unobserved factors, and e is a Px1 vector of random error terms.
To estimate the matrix L, we can use principal component analysis (PCA). PCA is a dimensionality reduction technique that identifies the most important features or components in a dataset. It can help us uncover the underlying structure of the observed variables. By applying PCA to the data matrix X, we can obtain the principal components, which are linear combinations of the original variables.
To estimate L, we need to identify the factor loadings from the principal components. This can be done by considering the eigenvectors associated with the largest eigenvalues of the covariance matrix of X. The eigenvectors corresponding to the dominant eigenvalues represent the directions in which the data varies the most.
Once we have obtained the factor loadings, we can use them to estimate L. The matrix L can be estimated by multiplying the factor loadings with the square root of the diagonal matrix of the eigenvalues.
As for the measure of closeness, it is not explicitly defined in the problem. However, a common measure to assess the quality of the factor model estimation is the proportion of the total variance explained by the estimated factors. This measure, often referred to as the cumulative explained variance, indicates how much of the observed variability in the data can be accounted for by the estimated factors. A higher proportion implies a better fit of the factor model to the data.
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Cameron and Lindsey need to make 160 cookies for the bake sale. Cameron made 2/5 of the cookies Lindsey made 16 cookies What fraction of the cookies do they still need to make?
The fraction of the cookies do they still need to made after Cameron and Lindsey made 80 cookies is 1/2.
Fractions are referred to as the components of a whole in mathematics. A single thing or a collection of objects might be the entire. When we cut a slice of cake in real life from the entire cake, the part represents the percent of the cake. The word "fraction" is derived from Roman. "Fractus" means "broken" in Latin.
The fraction was expressed verbally in earlier times. It was afterwards presented in numerical form. A piece or sector of any quantity is another name for the fraction.
Total cookies to be made is 160
Out of which Cameron made 2/5 of the cookies so,
2/5 x 160 = 64 cookies are made by Cameron
Lindsey made 16 cookies
So total cookies that still need to be made is,
= 160 - (64 + 16) = 80
The fraction of cookies still need to made is 80/160 = 1/2 .
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сalculate ∬17 for the surface : =4−2,0≤≤≤2 (Express numbers in exact form. Use symbolic notation and fractions where needed.) 13 13 dS =
the double integral of the given surface using the provided terms: the answer is 68.
Given surface: z = 4 - 2x, with the domain 0 ≤ x ≤ 2 and 0 ≤ y ≤ 2.
Step 1: Calculate the partial derivatives of the surface with respect to x and y.
∂z/∂x = -2
∂z/∂y = 0
Step 2: Calculate the magnitude of the gradient vector of the surface (|∇z|).
|∇z| = √((-2)^2 + (0)^2) = 2
Step 3: Calculate the double integral using symbolic notation and fractions.
∬_D (17 * 2) dA = 34 * ∬_D dA
Step 4: Evaluate the double integral over the given domain.
34 * ∫(from 0 to 2)∫(from 0 to 2) dy dx = 34 * ∫(from 0 to 2)[y] (from 0 to 2) dx = 34 * ∫(from 0 to 2) 2 dx
Step 5: Calculate the final result.
34 * [x] (from 0 to 2) = 34 * (2 - 0) = 68
So, the answer is 68.
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Anya has $25,000 which she recently received from a trust fund, which she intends to invest in an account earning 12% annually. a) How many years would it take Anya to accumulate $40,000. b) If Anya's goal is to save $40,000 in just 3 years, what rate of return must she earn annually on her account. Show all workings and formulae
a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.
a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:
Future Value = Present Value * (1 + interest rate)ⁿ
Where:
Future Value = $40,000
Present Value = $25,000
Interest rate = 12% = 0.12
n = number of years
Substituting the given values into the formula, we have:
$40,000 = $25,000 * (1 + 0.12)ⁿ
Dividing both sides of the equation by $25,000, we get:
(1 + 0.12)ⁿ = 40,000 / 25,000
(1.12)ⁿ = 1.6
To solve for n, we can take the logarithm of both sides of the equation:
n * log(1.12) = log(1.6)
Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:
n * 0.0492 = 0.2041
n = 0.2041 / 0.0492 ≈ 4.15
b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:
Future Value = Present Value * (1 + interest rate)ⁿ
$40,000 = $25,000 * (1 + interest rate)³
Dividing both sides of the equation by $25,000, we have:
(1 + interest rate)³ = 40,000 / 25,000
(1 + interest rate)³ = 1.6
Taking the cube root of both sides of the equation:
1 + interest rate = ∛1.6
Subtracting 1 from both sides, we get:
interest rate = ∛1.6 - 1
Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:
interest rate = 1.126 - 1 ≈ 0.126
To express the interest rate as a percentage, we multiply by 100:
interest rate = 0.126 * 100 = 12.6%
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What is the sum of P(x) and Q(x) if P(x) = 4x² + 6x - 9 and Q(x) = -7x² - 12x + 8?
Answer:
-3x²-6x+17
Step-by-step explanation:
P(x)+Q(x)
(4x²+6x-9)+(-7x²-12x+8)
4x²+6x+9-7x²-12x+8
(4x²-7x²)+(6x-12x)+(9+8)
-3x²-6x+17
solve the literal equation for y
4x+1=9+4y show steps please i am confused
The solution to the literal equation is y = x - 2.
What is the solution to inequality?To solve inequality in y, we need a number such that the assertion holds if we replace y with that number. Isolating the variable on one side of the inequality and leaving the other terms constant is the first step in resolving the inequality.
From the given information:
4x + 1 = 9 + 4y
To solve for y, we have to switch the sides:
9 + 4y = 4x + 1
Subtract 9 from both sides
9 - 9 + 4y = 4x + 1 - 9
4y = 4x - 8
Divide both sides by 4
\(\dfrac{4y}{4}= \dfrac{4x}{4}-\dfrac{8}{4}\)
y = x - 2
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what is 5+5
=10 for me
Answer:
that will be 10?
Step-by-step explanation:
Answer:
5+5=10 is right
Step-by-step explanation:
please mark me brainliest
Yuri is thinking of a 4-digit whole number. He rounds his number to the nearest thousand. His answer is 4000, what is the smallest number yuri could be thinking of?
Answer:
Smallest number = 3500
Step-by-step explanation:
Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.
In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.
Thus, the smallest number Yuri could be thinking of is 3500
I can't figure out this equation. Can someone help me?
4x−7= 8x + 33
Answer:
x = -10
Step-by-step explanation:
Subtract 4x on both sides
4x-7 = 8x+33
(4x-7)-4x = (8x+33)-4x
-7 = 4x+33
Subtract 33 on both sides
-7 = 4x+33
-7-33 = (4x+33)-33
-40 = 4x
Divide both sides by 4
-40 = 4x
-40/4 = 4x/4
-10 = x
Therefore, x=-10
Step-by-step explanation:
4x-7=8x+33
-7-33=8x-4x
-40= 4x
Divide both sides by 4
-10=x
therefore x=-10What is the value of f ^-1 (0)? ( photo given )
PLEASE HELP ME, I would greatly appreciate it !!!
Answer:
\( {f}^{ - 1}(0) = 6\)
Step-by-step explanation:
When trying to solve for inverses, we are given a y value in place of an x value. Thus we are solving for the x value which the given y value corresponds to.
help me with this ques. (need solution and answer both) thanks so much <3
Answer:
1.) 27a^11 + 18a^9 -72a^7
2.) 6p^4q^3 - 10p^3q + 4p^2q3
Step-by-step explanation:
1.) Distribute and do the math
-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2
27a^11 + 18a^9 -72a^7
2.) Distribute and do the math
2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2
6p^4q^3 - 10p^3q + 4p^2q3
Round each fraction to help you estimate the solution for the following equation:1/6 + 5/6 = ____A. 0B. 1/2C. 1D. 2
The estimation of the equation 1/6 + 5/6 is 1 (option C).
For rounding a fraction to the nearest whole number, use the "rounding half up" rule if necessary.
To estimate the solution for the equation 1/6 + 5/6, we can round each fraction to the nearest whole number.
The fraction 1/6 is closer to 0 than it is to 1, so we will round it to 0.
The fraction 5/6 is closer to 1 than it is to 0, so we will round it to 1.
Now we can estimate the solution for the equation as follows:
0 + 1 = 1
Therefore, the estimated solution for the equation 1/6 + 5/6 is 1.
The correct answer is C. 1.
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The flight of a cannonball toward a hill is described by the parabola y=2+0.12x- 0.0004x^2
The computation shows that the placw on the hill where the cannonball land is 3.75m.
How to illustrate the information?To find where on the hill the cannonball lands
So 0.15x = 2 + 0.12x - 0.002x²
Taking the LHS expression to the right and rearranging we have:
-0.002x² + 0.12x -.0.15x + 2 = 0.
So we have -0.002x²- 0.03x + 2 = 0
I'll multiply through by -1 so we have
0.002x² + 0.03x -2 = 0.
This is a quadratic equation with two solutions x1 = 25 and x2 = -40 since x cannot be negative x = 25.
The second solution y = 0.15 * 25 = 3.75
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Complete question:
The flight of a cannonball toward a hill is described by the parabola y = 2 + 0.12x - 0.002x 2 . the hill slopes upward along a path given by y = 0.15x. where on the hill does the cannonball land?
You want to make a graph show how you spend your time each day. What is an advantage of choosing a circle graph for this data? A circle graph shows how each category of time relates to the total amount of time. QA circle graph is easier to make. OIt is easy to calculate the mean, median, and mode with a circle graph. OA circle graph will show the times when you are the busiest.
An advantage of choosing a circle graph to show your daily activities is given as follows:
A circle graph shows how each category of time relates to the total amount of time.
What is a circle graph?A circle graph, also known as a pie chart, is a graphical representation of data that uses a circle divided into sectors to show the proportion or percentage of each category in the data set. Each sector represents a category or group, and the size of the sector is proportional to the frequency or relative frequency of that category.
Hence, with the proportion or the percentage, we can see how much each activity consumes of the total time.
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The given number line shows the solutions to which inequality?
A number line with a range from 1 to -10 and more indicates that there are values less than -10 that also satisfy the inequality.
Describe Inequality?An inequality is a mathematical statement that compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities are used to describe relationships between quantities or to express constraints or conditions.
For example, the inequality "x < 5" means that the value of x is less than 5, while the inequality "y ≥ 10" means that the value of y is greater than or equal to 10. Inequalities can involve variables, constants, or a combination of both.
Solving an inequality involves finding the set of values that satisfy the inequality. For example, to solve the inequality "x + 3 > 7", we subtract 3 from both sides to get "x > 4". This means that any value of x that is greater than 4 will satisfy the inequality.
Inequalities are used in many areas of mathematics, science, and engineering, as well as in economics, social science, and other fields. They are used to model relationships between variables, to express constraints and boundaries, and to analyze and solve problems involving optimization, decision-making, and risk management. Inequalities are also used in everyday life, such as in budgeting, planning, and decision-making
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keep a smile :) Peanuts cost $1.50 per pound. How much does 2 pounds of peanuts cost?
Answer:
3 dollars
Step-by-step explanation:
Answer:
$3
Step-by-step explanation:
If the unit price is 1.5 , you multiply it by 2 to get the price of 2 pounds
1.5*2=$3
6/8 divide by 8/12
A. 9/2
B. 8/9
C. 9/8
D. 9/32
Answer:
C. 9/8
Step-by-step explanation:
\( \frac{6}{8} \div \frac{8}{12} \)
Use KCF which means Keep the first fraction, Change the second fraction by flipping it and change the division sign to a multiplication symbol:
\( \frac{6}{8} \times \frac{12}{8} \)
multiply the numerator together:
6 × 12 = 72
multiply the denominator together:
8 × 8 = 64
now the fraction is:
\( \frac{72}{64} \)
simplify further by dividing both numbers by 8:
72 ÷ 8 = 9
64 ÷ 8 = 8
so the fraction is 9/8
Sonia was offered a job in a bakery where she would work 16.5 hours a week and earn $8.50 per hour. She was also offered a job in a flower shop where she would work 21.5 hours a week and earn $7.60 per hour. At which job will she earn more a week? How much more?
Will give lot's of points to whoever can answer this for me means a lot thanks
Answer:
Flower shop
23.15
Step-by-step explanation:
Bakery Job:
16.5 * 8.50 = 140.25
Flower Shop:
21.5 * 7.60 = 163.4
She would earn more moeny working in the Flower Shop!
She would earn $23.15 more than working in the Bakery ( I subtracted 163.40 by 140.25 to find the difference between the two jobs)
Thank you, ps can u please give me brainly :3
Worksheet 1.3
Part 1: Write a math expression for each problem (model the problem).
1)
Lumpy drove for h hours at 50 mph. How far did he drive?
Answer:
50h milesStep-by-step explanation:
For us to write a math expression for the problem, we will use the formula for calculating speed.
Speed is the change of distance of a body with respect to time.
Mathematically, Speed = Distance/Time
Distance = Speed * Time
If Lumpy drove for h hours at 50 mph, then Lumpy speed = 50mph and time = h hours.
Substituting the given parameters into the formula to get the distance;
Distance = 50mph * h hours
Distance = 50h miles
Hence the math expression that modeled how far Lumpy drive is 50h miles
NEED HELP ASAP WILL MARK BRAIN <3
A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount remaining on the card is .
The independent variable is the _____________?
The dependent variable is the ______________?
Find the median of the set of data.
5 10 18 36 29 18 15 10
Answer:
Put them in order 5 , 10 , 10, 15, 18, 18, 29, 3615+18/2 = 16.5Please Help 50 POINTS!!
Answer:
D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)
Step-by-step explanation:
hope this helps
Answer: D has the largest perimeter
Step-by-step explanation:
The top numbers of fractions describe the vertex and the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.
A.
P = 2(11) + 2(3)
P = 22+6
P=28
B.
P = 2(4) + 2(9)
p = 8 +18
P = 26
C.
P = 2(5) + 2(9)
P = 10 +18
P = 28
D.
P = 2(8) + 2(7)
P = 16 +14
P = 30
Finding Angle Measures When Parallel Lines Are Cut By a Transversal
Please help i keep asking because i need help and i need to bring my math grade up please help this is urgent!!!!!!!!!!!!
Answer: Angles 6,2,3 are the same and are all 112 degrees.
Angles 1,4,5,8 are the same and are all 68 degrees.
Step-by-step explanation:
Angles 6,2,3 are all 112 degrees because of diagonal angle rule.
Angles 1,4,5,8 are 180-112=68 degrees because we can use 180 degree angle rule.
Hope this helped, If you have any questions or clarifications, comment below!
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The table lists the locations of four underwater camreas relative to sea level which camrea is the farthest from the surface of the water
The fish camera will farthest from from the surface of water as it is -15 1/3 feet away that is 15 1/3 feet below the sea level. so correct option is B.
What is number line?A number line is a diagram of a graduated straight line used to represent real numbers in elementary mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point. A number line is a visual representation of numbers on a straight line in mathematics. A number line's numbers are arranged in a sequential manner at equal intervals along its length. It is typically represented horizontally and can extend indefinitely in any direction. A number line is exactly what it sounds like—a horizontal, straight line with numbers spaced evenly apart along its length.
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