Answers
Answer:
I believe that the answer is the second one.
Step-by-step explanation:
a^6/b^7
The negative exponents become positive when you switch them to the top or bottom.
Related Questions
Find each sum. (-3)+2
Answers
Hope this will help
A Certain sum of money of simple
interest amount to $$1,300 ire 4 years
and to #11525 in 7 years - Find
the sum and the rate percent
Answers
The required rate of simple interest is 1.75%.
Here, we have,
(Principal + Interest) is a straightforward interest equation.
A = P(1 + rt)
Where: A is the sum of the accrued principal and interest.
Principal Amount is P.
I is the interest rate.
r is the annual percentage rate of interest, or R/100.
R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.
Since I = Prt,
the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,
which may be represented as A = P(1 + rt).
Given: Principal is $1,300
Rate is 7% and the amount earned that is A-P is $159.25.
A = P(1 + rt)
Therefore substituting the values in the above mentioned equation, we get:
159.25= 1300(1+r×7)
On solving we get,
r= 1.75%
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complete question:
At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.
What rate of simple interest is offered at the
Blue Bank?
Kyle submits a design for the contest, but his explanation was misplaced. How can figure A be mapped onto figure B? Can any other transformation be used to map figure A onto figure B
Answers
Answer:
A
Step-by-step explanation:
ita a bc i know its I did this before
what are the terms, coefficients, and constants of the following expression?
21x+9y-7z-5
Answers
Answer:
coefficent=21,9,7
constant=x,y,z
coefficient: 21 , 9 , 7
constant: 5
sorry if i’m wrong:(
Which choices are equivalent to the fraction below? Check all that apply.
6
12
A. 200%
B. 2/4
C. 2
D. 50%
E. 0.33
F. 0.5
Answers
Answer: 0.5 and 2/4
Step-by-step explanation:
Question 4 of 10 What is the scale factor from ABC to DEF? A BO 72 42 35 65 B 66 O A. 2 OB. O O D. 6 Ico
Answers
Answer:
C
Step-by-step explanation:
the scale factor is the ratio of corresponding sides, image to original, so
scale factor = \(\frac{EF}{BC}\) = \(\frac{11}{66}\) = \(\frac{1}{6}\)
Write the following as on logarithm
2 ln(5x) − 3 ln(2x) + 7 log2 (8x)
Answers
ln[(5x)² × (2x)⁻³ × (8x)⁷] . The logarithm expression is written in the form of ln(x) which is logarithm to the base e. The expression contains log2(x) which is logarithm to the base 2.
What is logarithm expression?The base number is the number that is raised to a certain power, the exponent is the power that the base number is raised to, and the logarithmic function is the equation which is used to calculate the result of the base number and the exponent.
The given expression can be written as a logarithm as follows:
ln[(5x)² × (2x)⁻³ × (8x)⁷]
This can be simplified to
2ln(5x) - 3ln(2x) + 7log2(8x)
The logarithm expression is written in the form of ln(x) which is logarithm to the base e. The expression contains log2(x) which is logarithm to the base 2.
The logarithm expression can be used to simplify complex equations and calculations, and it can also be used to solve for a particular variable.
This expression can be used to solve for x if the other values are known. The value of x can be calculated by taking the antilogarithm of each term and then solving the equation.
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Explain the relationship between variance and standard deviation. Can either of these measures be negative? Explain. Choose the correct answer below. A. The variance is the positive square root of the standard deviation. The standard deviation and variance can never be negative. Squared deviations can never be negative. B. The standard deviation is the positive square root of the variance. The standard deviation and variance can never be negative. Squared deviations can never be negative. C. The variance is the negative square root of the standard deviation. The variance can be negative but the standard deviation can never be negative. D. The standard deviation is the negative square root of the variance. The standard deviation can be negative but the variance can never be negative.
Answers
Answer:
A. The variance is the positive square root of the standard deviation. The standard deviation and variance can never be negative. Squared deviations can never be negative.
Step-by-step explanation:
As we know that
The standard deviation is the square root of the variance and on the other side the variance is the square of the standard deviation
In mathematically
\(\sigma = \sqrt{variance}\)
And,
\(variance = \sigma^2\)
Moreover, the standard deviation and the variance could never by negative neither the squared deviation is negative. All three are always positive
Hence, the correct option is a.
Answer:
B. The standard deviation is the positive square root of the variance. The standard deviation and variance can never be negative. Squared deviations can never be negative.
A playground 88 ft long and 58 ft wide is to be resurfaced at a cost of $2.75 per sq ft. What will the resurfacing cost?
The resurfacing will cost $.
(Simplify your answer. Type an integer or a decimal.)
Answers
Answer: $1856
Step-by-step explanation: 88 x 58 = 5104. 5104/2.75= 1856
Avery's classroom has 3 round tables and 6 square tables. Each table can seat 4 students.
Students are randomly seated at the tables as they arrive to class.
What is the probability that the first student to arrive will be seated at a square table
Answers
the answer is 13
Complete the equation of the line whose y-intercept is (0,6) and slope is 3
Answers
Answer:
y= 3x+6
Step-by-step explanation:
the equation to use for this problem is y= mx+b
m is the slope (3) and b is the y-intercept (0,6)
let's plug those numbers into the equation.
y= 3x+6
Hope this helps!
Consider the following equation of a circle find the center, (h,k)
Answers
Given the equation of a circle:
\(x^2+y^2-4x+4y+4=0\)Let's find the center of the circle, (h, k).
To find the center of the circle, rewrite the equation in standard form:
\((x-h)^2+(y-k)^2=r^2\)Where:
(h, k) is the center.
Rewrite the equation:
\((x^2-4x)+y^2+4y+4=0\)Complete the square for the two groups:
x²-4x and y²+ 4y.
Apply the formula:
\(a(x+d)^2+e\)Now, we have the following:
\(\begin{gathered} x^2-4x \\ Where: \\ a=1 \\ b=-4 \\ c=0 \\ \\ \text{ To solve for d, we have:} \\ d=\frac{b}{2a}=\frac{-4}{2(1)}=-2 \\ \\ \text{ To solve for e, we have:} \\ e=c-\frac{b^2}{4a}=0-\frac{-4^2}{4(1)}=-\frac{16}{4}=-4 \\ \\ \text{ FOr the first group, we have:} \\ (x-2)^2-4 \end{gathered}\)Complete the square for the second group:
\(\begin{gathered} y^2+4y \\ \text{ Where:} \\ a=1 \\ b=4 \\ c=0 \\ \\ \text{ We have:} \\ d=\frac{b}{2a}=\frac{4}{2(1)}=2 \\ \\ e=c-\frac{b^2}{4a}=0-\frac{4^2}{4(1)}=0-\frac{16}{4}=-4 \\ \text{ For the second group, we have:} \\ (y+2)^2-4 \\ \end{gathered}\)Now, combine the expressions in the original equation
\(\begin{gathered} ((x-2)^2-4)+((y+2)^2-4)+4=0 \\ \\ (x-2)^2-4+(y+2)^2-4+4=0 \end{gathered}\)Combine like terms and move the constants to the right side of the equation:
\(\begin{gathered} (x-2)^2+(y+2)^2-4+4-4=0 \\ \\ (x-2)^2+(y+2)^2-4=0 \\ \\ (x-2)^2+(y+2)^2=4 \end{gathered}\)Therefore, the equation of the circle in standard form is:
\((x-2)^{2}+(y+2)^{2}=4\)Where:
h = 2
k = -2
Therefore, the center of the circle is:
(h, k) ==> (2, -2)
ANSWER:
(2, -2)
Find the linear function
Answers
The linear function for this case is:
f(x) = 5,000*x + 7,000
How to find the linear function?The general linear function is written as:
f(x) = a*x + b
Where a is the slope and b is the y-intercept.
Here we want a linear function for the given scenario, we know that the initial population is 7,000, then we can write:
f(x)= a*x + 7,000
Then we know that the population increases by 5,000 per year for 5 years, so the slope is 5,000, then we can write the function as:
f(x) = 5,000*x + 7,000
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what is the value of x (100 points)
Answers
The value of x in the given triangle is 25
Missing sides of right triangle
The triangle shown is a right triangle.
Each side of the triangle can be found by using the Pythagora's theorem
The Pythagora's theorem states that the "square of the hypotenuse equals the sum of the squares of the other two sides"
Applying the Pythagora's theorem:
\(x^2=24^2+7^2\\\\x^2=576+49\\\\x^2=625\\\\x=\sqrt{625}\\\\ x=25\)
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The Steelers have won 6 out of 8 Super Bowl games. What is the fraction for games won
Answers
Answer:
6/8
Step-by-step explanation:
Here is a list of six numbers written in order of size.
4 7 x 10 y y
The numbers have
a median of 9
a mean of 11
Find the value of x and the value of y.
Answers
x = 8
y1 = 17
y2= 20
Step-by-step explanation:Taking what we know, which is the median, and the mean.
The mean is the average of all the numbers added together then divided.
The Median is the middle number. This means we can easily solve what x equals.
knowing the middle point is 9. x has to be 8 so because there are 6 numbers, and no numbers in the middle of the positions 3-4.
Now we need to solve for both the final numbers, which in this has to come to an average of 11, and knowing the numbers are all ascending, we can at least come to the conclusion that the numbers are all < 10. Which leads us to the guessing part which is most likely not the best way to solve this, but is how I would solve it, and is just by plugin in numbers and solving. Which I found could be 17 and 20, as with both the median still is equal to 11.
~Neo
The value of x and y for the given numbers are:
x = 8 and y = 1.
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
We know that the median of the six numbers is 9.
Therefore, the two middle numbers must add up to 18, which is twice the median.
We also know that the mean of the six numbers is 11.
Therefore, the sum of the six numbers is 66, which is 6 times the mean.
Let's use this information to set up two equations in terms of x and y:
Equation 1: 7 + x + 10 + y + y = 66 (the sum of the six numbers is 66)
Simplifying this equation, we get:
2y + x = 39
Equation 2: (x + 7 + 10)/3 + 2y/3 = 11 (the mean of the six numbers is 11)
Simplifying this equation, we get:
(x + 2y)/3 + 17/3 = 11
x + 2y = 10
Now we have two equations with two variables.
We can solve for x and y by substituting one equation into the other:
2y + x = 39
x + 2y = 10
Multiplying the second equation by 2, we get:
2x + 4y = 20
Subtracting the first equation from this one, we get:
x + 2y = 10
-(2y + x = 39)
-x - 37 = -29
Solving for x, we get:
x = 8
Substituting this value into one of the equations, we can solve for y:
x + 2y = 10
8 + 2y = 10
2y = 2
y = 1
Therefore,
x = 8 and y = 1.
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The sides of a square field are 12 meters. A sprinkler in the center of the field sprays a circular area with a diameter that corresponds to a side of the field. How far does the sprinkler travel in 2 revolutions? How much of the field is not reached by the sprinkler? Round your answer to the nearest hundredth.
Answers
There are 30.90 meters squared of the field is not reached by the sprinkler.
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
First, get the area of the square field. The area of the square is side multiplied by side.
A = S x S
A = 12 X 12
A = 144 meters squared
Second, get the area of the circle formed by the sprinkler.
The circle is formed inside the square with a radius of 6 meters (half of the diameter which is 12 meters).
A = πr²
A = 3.1415 x 6²
A = 113.09733 meters squared.
In order to get the not sprinkled area, subtract the area of the square by the area of the circle.
Hence, Not Sprinkled Area = 144 meters squared - 113.09733 meters squared
Thus, The final answer is 30.90 meters squared.
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Matthew invests $8,586 in a retirement account with a fixed annual interest rate of 5%
compounded continuously. How long will it take for the account balance to reach $23.457"
Answers
For each $23.457" borrowed, you would pay about a year $8,586 in interest, as in the case of a credit card with an APR of 5%.
What does annual interest rate mean?An estimate of the annual cost of borrowing money is the annual percentage rate (APR), which is expressed as a percentage of the principal loan amount. An accurate representation of how much borrowing money will cost is sought after by the annual percentage rate (APR) on a credit card or loan. In a different method, the annual percentage rate (APR) of a given loan is the total annual interest payments divided by the loan's outstanding balance. Assuming a credit card with a 10% APR, you would pay $8,586 in interest for every $23.457" borrowed over the course of a year.To learn more about Annual percentage rate (APR) refer to:
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Can someone please help me, it's gonna be on my quiz and she didn't teach us. This is 25 points.
Answers
Answer:
2:1
Step-by-step explanation:
Cody's drawing is 3/2 of an inch, or 6/4 of an inch
Miko's is 3/4 of an inch.
6/4:3/4=6:3=2:1
Which expressions are ways to write the number 5,200,000? There may be more than one correct answer.
Fifty-two million
Five million, two hundred thousand
5.2 million
52 million
5.2 billion
5,200
Answers
Five million two hundred thousand stands for expressions are ways to write the number 5,200,000.
What do you call numbers?
Numerals, which are symbols that are more commonly used to symbolize specific numbers, include "5", which stands for the number five. Knowing the word form of the numbers from 1 to 10 makes it easier to read and write the numbers. The first ten natural numbers are written as follows: 1, 2, 3, 3, 4, 5, 5, 6, 6, 7, 8, 8, 9, and 10, which is their word form.
Algebra, number theory, geometry, and arithmetic are the four main subfields of mathematics. The intriguing characteristics that exist between numbers are known as number ideas. These concepts facilitate our use of computations and problem-solving techniques.
5,200,000 - five million two hundred thousand stands for 5200000.
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Find the x- and y-intercepts of the graph of the linear equation 3x+6y=24.
Answers
Answer:
The x-intercept is 8 and the y-intercept is 4!!
Step-by-step explanation:
Solve the equation, y=-1/2x+4, and then you can type it into Desmos, a graphing website, and it will show the two points where it meets on the x and y intercept.
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (-3, 1)?
Answers
Answer:
y-1= -1/3(x+3)
Step-by-step explanation:
y-y1=m(x-x1)
y-1=m(x+3)
the slope is rise over run
the slope is -1/3
Answer:
y - 1 = 3/2 (x + 3)
Step-by-step explanation:
To find the equation of a line parallel to the given line and passing through the point (-3, 1), we can use the point-slope form of a linear equation. The point-slope form is given by:
y - y₁ = m(x - x₁)
Where (x₁, y₁) is the given point and m is the slope of the line.
First, let's calculate the slope of the given line using the two points (-2, -4) and (2, 2):
slope = (y₂ - y₁) / (x₂ - x₁)
= (2 - (-4)) / (2 - (-2))
= 6 / 4
= 3/2
Since the line we want to find is parallel to the given line, it will have the same slope. Therefore, the slope (m) of the new line is also 3/2.
Now we can substitute the values into the point-slope form using the point (-3, 1):
y - 1 = (3/2)(x - (-3))
y - 1 = (3/2)(x + 3)
The equation in point-slope form of the line parallel to the given line and passing through the point (-3, 1) is:
y - 1 = 3/2 (x + 3)
Find a and b using the factor theorem.
\(f(x)=x^3+ax^2+bx-12\) has factor \((x-1), (x+1)\)
Answers
The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.
To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.
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C What is the volume of the rectangular prism? 3 2 3. m 8 mm 9 mm
Answers
Answer:
267.75
Step-by-step explanation:
i think this because that what I got by multiplying 3 1/2 x 9 x 8 1/2
Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
Answers
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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Please help I’ll mark you brainly
Answers
We see that the y-intercept of the line is 4 while slope = -3/2.
What is slope and intercept?The slope indicates the steepness of a line and the intercept indicates the location where it intersects an axis. The slope and the intercept define the linear relationship between two variables, and can be used to estimate an average rate of change.
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = − 7 x + 4 , we see that the y-intercept of the line is 4.
slope = (-2 - 1) / (4 - 2) = -3 / 2
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Please help me get this over with.
Answers
Answer:
B) 11
Step-by-step explanation:
The interquartile range (IQR) is defined as IQR = Q3 - Q1 where Q3 represents the upper quartile and Q1 represents the lower quartile.
In a box-and-whisker plot, Q1 is the leftmost edge of the box, so Q1=38. Q3 is the rightmost edge of the box, so Q3=49
Therefore, the interquartile range is IQR = Q3 - Q1 = 49 - 38 = 11
Answer:
11
Step-by-step explanation:
The two angles have a combined measure of 90°.
(See photo)
Write and solve an equation to find the measure of angle x.
Enter the correct answers in the boxes.
How do you write the equation? I know the answer
Answers
Answer:
it's 46 if you add 46 whit 44 you get 90
hope that helps you
Answer:
46 is the answer.
Step-by-step explanation:
the equation is x+44=90
I cant solve please help me
Answers
Answer:
Let us set up a ratio to find the relationship between side lengths of the two triangles.
25:10
5:2
We can divide both sides by two, but there's no need as the smaller triangle has multiples of two.
So, if XZ is 6, let's place it into the ratio and find what "x" is.
5(3) : 2(3)
15 : 6
x = 15
Select the correct answer. Which expression is equivalent to the given expression? (6n^-5)(3n^-3)^2
Answers
The equivalenet expression is 54\(n^{-11}\)
What is expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.
What is exponent?The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
To simplify the given expression, we need to apply the power of a power rule, which states that to raise a power to another power, we need to multiply the exponents.
Starting with:
(\(6n^-5\))(\(3n^-3\))²
We can simplify as follows:
(\(6n^-5\))(\(9n^-6\))
Now, we can use the product of powers rule, which states that when multiplying two powers with the same base, we add their exponents.
Therefore:
6 x 9 = 54
\(n^-5 * n^-6 = n^-11\)
So the simplified expression is:
\(54n^-11\)
Therefore, the expression \((6n^-5)(3n^-3)^2\) is equivalent to \(54n^-11.\)
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The expression that is equal to (6n-5)(3n-3) option D, 54n11.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
We can use the distributive property of multiplication to expand the expression (6n - 5)(3n - 3) as follows:
(6n - 5)(3n - 3) = 6n(3n) - 6n(3) - 5(3n) + 5(3)
= 18n² - 18n - 15n + 15
= 18n² - 33n + 15
Therefore, the expression that is equivalent to (6n - 5)(3n - 3) is 18n² - 33n + 15, which is option D.
So, the answer is option D, 54n11.
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