Answer:
88%
Step-by-step explanation:
44/50 = 88/100 = 88%
88% is the answer ❤️❤️❤️❤️
Square the following numbers.
a. 4
b. 6
c. 13
d. 10
(a) The square of 4 = 16
(b) The square of 6 = 36
(b) The square of 13 = 139
(b) The square of 10 = 100
We know that,
Square of a number is nothing but product of a number with itself.
And it gives power 2.
(a) Now the given number is 4:
The square of 4 = 4²
= 4x4
= 16
(b) The given number is 6:
The square of 6 = 6²
= 6x6
= 36
(c) The given number is 13:
The square of 13 = 13²
= 13x13
= 139
(d) The given number is 10:
The square of 10 = 10²
= 10x10
= 100
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To save for retirement, a student invests $70 each month in an ordinary annuity with 3% interest compounded monthly. Determine the accumulated amount in the student's annuity after 30 years.
The accumulated amount will be $_______?
(Round to the nearest cent as needed.)
The accumulated amount will be $133.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A student invests $70 each month in an ordinary annuity with 3% interest compounded monthly.
We know that;
⇒ Simple interest = P × r × t
Where, P is principle amount , 'r' is rate and t is time.
Here, P = $70
r = 3%
n = 30 years
Substitute all the values, we get;
Hence, We get;
⇒ Interest = P × r × t
⇒ Interest = 70 × 0.03 × 30
⇒ Interest = $63
Hence, The accumulated amount will be ;
⇒ P + Interest
⇒ $70 + $63
⇒ $133
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In a binomial random variable where n=10 and p=.5 what is q?
Group of answer choices
.6
.8
.5
.2
None of these options
Work Shown:
q = 1 - p
q = 1 - 0.5
q = 0.5
Evaluate the expression, writing the result as a simplified complex number.
To earn full credit be sure to show all steps and calculations. You may wish to do the work on paper and submit an image of that written work.
\frac{(2+i)(4-2i)}{1+i}
The simplified expression involving complex numbers is given as follows:
5 + 5i.
What are complex numbers?Complex numbers are number that have a real and an imaginary part, and are defined as follows:
z = a + bi.
In which:
a is the real part.b is the imaginary part.The basic relation of complex numbers is given as follows:
i² = -1.
The fraction for this problem is given as follows:
(2 + i)(4 - 2i)/(1 + i).
The numerator is simplified as follows:
(2 + i)(4 - 2i) = 8 - 4i + 4i - 2i² = 8 + 2 = 10.
Hence the fraction is of:
10/(1 + i).
To remove the complex number from the denominator, the entire fraction is multiplied by the conjugate of the denominator, hence:
10/(1 + i) x (1 - i)/(1 - i) = 10(1 + i)/(1 - i²) = 10(i + 1)/2 = 5 + 5i.
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DC↔ means “ _____ DC”
A. line DC
B. ray DC
C. line segment DC
D. angle DC
The percentage of first year college females who will claim no religious affiliation in 2025 is approximately %
We have to calculate the average increase in the percentage, and the extrapolate it to 2025.
We have the following data:
1980: 6.5%
1990: 10.6%
2000: 13.3%
2012: 21.1%
We can calculate an average value taking into account the year 2012 and the year 1980.
We can do that as:
\(\bar{p}=\frac{21.1-6.5}{2012-1980}=\frac{14.6}{32}=0.45625\)In 32 years, the average increase in the percentage is 0.45625%.
Then, we have to extrapolate to the year 2025.
From 2012 we have (2025-2012) = 13 years.
Then, we expect an increase of:
\(0.45625\cdot13=5.93195\approx5.9\)From 2012 to 2025 we expect an increase of 5.9%, so we add it to the level of 2012 and we get the level of 2025:
\(p_{2025}=21.1+5.9=27.0\)The percentage of first year college females who will claim no religious affiliation in 2025 is approximately 27.0%.
Which of the following random variables are discrete?
I. L= the number of pages in a randomly selected book
II. A = the number of leaves on a randomly selected tree
III. K= the height of a randomly selected NBA player
a. I only
I and II
b. II and III
c. II and III
d. l,ll, lll
Answer:
Step-by-step explanation:
I and II
Pages in a book and leaves on a tree can be counted precisely. They are discrete.
The height of a person cannot be measured exactly. We can get very good
approximations (to a lot of decimal places) but never exact. This is continuous.
Points x and y and points C,D,E and f are shown what is true about points
The true statement is "the line that can be drawn through points D and E is contained in plane Y".
option B is the correct answer
What are the true statements about the point x and y?The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;
We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.
The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.
So, option (A) is NOT correct.
The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.
So, option (B) is CORRECT.
Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.
So, option (C) is NOT correct.
Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.
So, option (D) is NOT correct.
Thus, the correct option is;
The line that can be drawn through points D and E is contained in plane Y.
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The complete question is below:
Points x and y and points C,D,E and f are shown what is true about points
(A) The line that can be drawn through points C and D is contained in plane Y.
(B) The line that can be drawn through points D and E is contained in plane Y.
(C) The only point that can lie in plane X is point F.
(D) The only points that can lie in plane Y are points D and E
evaluate the expression x² + y²/10when x = 6 and y =8
The given expression is
\(\frac{x^2+y^2}{10}\)Let's replace x = 6 and y = 8.
\(\frac{6^2+8^2}{10}=\frac{36+64}{10}=\frac{100}{10}=10\)Hence, the evaluation gives 10.2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
Calculate the slope of each line
Answer:
blue line: 20
black line: -20
Step-by-step explanation:
use rise (y) over run (x)! as the blue line goes from points (8,80) to (9,100) the difference in the x or run is 1 while the difference in the y or rise is 20 which makes it 20/1 = 20. for the black line, because it's going down it indicates it will be a negative slope, use the same trick as last time, our first point is (5,20) and our next point is (6,0) the difference in x is 1 and the difference in y is -20, so -20/1 = -20! hope this helped :-)
PLEASE HELP! WILL MARK BRAINLIEST
Eva and her children went into a restaurant where they sell hamburgers for $8 each and tacos for $4 each. Eva has $120 to spend and must buy no less than 20 hamburgers and tacos altogether. Also, she must buy at least 18 tacos. If a represents the number of hamburgers purchased and y represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
y ≤ -2x + 30
y ≥ -x +20
y ≥ 18
2 hamburgers, 18 tacos
Step-by-step explanation:
8x+4y ≤ 120
x + y ≥ 20
y ≥ 18
Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
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What is the slope of the line?
Answer:
It could be 0, is the question multiple choice?
a horizontal line always has a slope of 0, now, for the sake of a silly proof, let's do some rigamarole to get it.
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below
\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{7 +3} \implies \cfrac{ 0 }{ 10 } \implies \stackrel{ }{\text{\LARGE 0}}\)
Write a function rule for
Answer:
x^2
Step-by-step explanation:
1^2=1
2^2=4
3^2=9
1.
Look at the expression.
3x + 4
Which of these describes the expression?
A. the sum of 3 and x and 4
B. the product of 3 and x and 4
C. the sum of 4 and the product of 3 and X
D. the product of x and the sum of 3 and 4
Answer:
C. the sum of 4 and the product of 3 and X
Answer:
I would assume C
Step-by-step explanation:
The equation is the sum of 4 plus the product of 3 and x
work this out please
Answer: The answer in exact form would be 1/100 or 0.01
Answer:
1/100
Step-by-step explanation:
1/10^2 = 1/10 x 1/10 = 1/100
Find the equation of a straight line which passes through the point (3, 2) and is perpendicular to the line 3x + 5y =10. Hence, determine the gradient and y-intercept of the equation.
Answer:
Step-by-step explanation:
eq of line perpendicular to 3x+5y=10 is
5x-3y=a
where a is constant.
it passes through (3,2)
5(3)-3(2)=a
a=15-6=9
reqd. eq. is 5x-3y=9
or
3y=5x-9
y=5/3 x-3
gradient=5/3
y-intercept=-3
or
5y=-3x-10
y=-3/5 x-2
slope=-3/5
slope of reqd. line=-1/(-3/5)=5/3
eq. of line through (3,2) is
y-2=5/3(x-3)
3y-6=5x-15
3y=5x-15+6
3y=5x-9
y=5/3 x-3
Which of the following is equivalent to 5(x+6)-6(3x+3)=10
Answer:
B
Step-by-step explanation:
5x + 30 - 18x - 18 = 10
-13x + 12 = 10
4tan(x)-7=0 for 0<=x<360
Answer:
x = 65.26 degrees or x = 245.26 degrees.
Step-by-step explanation:
To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:
4tan(x) = 7
Then, we can divide both sides by 4 to get:
tan(x) = 7/4
Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:
x = tan^-1(7/4)
Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).
However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).
To find the solution in the first quadrant, we can simply use the value we just calculated:
x = 65.26 degrees (rounded to two decimal places)
To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:
x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)
So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:
x = 65.26 degrees or x = 245.26 degrees.
24x(4+17)-18x11=
A
296
B 306
C 1,045
D) 5,346
Answer:
B. 306
Step-by-step explanation:
using pemdas you would do parenthesis, exponents, multiplication or division whatever comes first, and lastly addition or subtraction whatever comes first.
Answer: B
Step-by-step explanation:
which function will have the greatest value at
\(x = 16 \)
\( y = {10}^{16} \)
\(y = {x}^{2} - 17x + 182\)
\(y = {1.17}^{x} \)
The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.
How to determine the corresponding output value for the given function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;
\(y = 10^{16}\)
y = 10,000,000,000,000,000.
y = x² - 17x + 182
y = 16² - 17(16) + 182
y = 256 - 272 + 182
y = 166.
\(y = 1.17^x\\\\y = 1.17^{16}\)
y = 12.330304108137675851908392069373.
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Simplify this algebraic expression with the steps
question is pictured below, need to learn steps to solve this and I dont have my book with me
However, I can still give you some general steps to solve a math problem in 200 words.
Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.
Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.
Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.
Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.
Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.
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If n is a positive odd number, then (-72.4)n is
Step-by-step explanation:
If n n n is odd, then ( − 72.4 ) n (-72.4)^n (−72.4)n will be negative since the product of an odd number of negatives gives a negative value. Therefore ( − 72.4 ) n (-72.4)^n (−72.4)n is a negative number with an absolute value greater than 1
To the nearest degree, what is the measure of the central angle for bathing?
The central angle of Bathing = 108 degrees.
In the given pie chart,
Since we know,
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.
The whole circle is 360 degrees
which represents 100%.
It is given that,
Bathing = 30%
So have need to find 30% of 360 degrees.
Therefore,
Bathing = (30/100)x360
= (30/10) x 36
= 3x36
= 108
Hence,
The central angle = 108 degrees.
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The complete question is:
To the nearest degree, what is the measure of the central angle for bathing?
What us the slope of the points, (0,20) and, (4,0)?
Answer:
-5
Step-by-step explanation:
The equation to find the slope between two points is y₂-y₁/x₂-x₁.
In this case that would be 0-20/4-0 which simplifies into -20/4=-5
So your slope is -5
Answer:
-5Solution,
Let the points be A and B
A(0,20)---------> (X1,y1)
B(4,0)------------>(x2,y2)
Now,
\(slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: \: \: \: \: = \frac{0 - 20}{4 - 0} \\ \: \: \: \: \: = \frac{ - 20}{4} \\ \: \: \: \: = - 5\)
hope this helps...
Good luck on your assignment....
The area of a rectangle is 65 m2 and the length of the rectangle is 3 m less than twice the width. Find the dimensions
The dimensions of the rectangle are:
Length = 10 m
Width = 6.5 m
How to Find the Dimensions of a Rectangle?Recall that the area of aa rectangle is given as, length × width.
Given the following:
Area of the rectangle = 65 m²
Let the width of the rectangle be represented as w.
Length of the rectangle = 2w - 3 m
Therefore:
(2w - 3)(w) = 65
Expand:]
2w² - 3w = 65
2w² - 3w - 65 = 0
Factorize:
w = 6.5 or w = -5
The width cannot be negative, therefore, the width = 6.5 m.
Length of the rectangle = 2w - 3 = 2(6.5) - 3 = 10 m
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There are 5 boxes of chocolates. If taking 200g out of each box, the remaining chocolates in the 5 boxes are exactly the same weight as the original 4 boxes. How many grams of chocolate is in each box?
Answer:
1000
Step-by-step explanation:
So the taken chocolate weight equals to the original 1 box of chocolate.
Thus there are 200 x 5 = 1000g.
The orginal chocolate has 1000g each.
transformation of the graph of f(x)=x^3 for the graph of g(x)=-x^3
The transformation was a reflection over the x-axis. This is because \(g(x)=-f(x)\).