Step-by-step explanation:
\( \frac{4 \: hours}{computer} \times \frac{1 \: slot}{ \frac{1}{3} hour } = 12 \: \frac{slots}{computer} \)
Match the correct equation below with the following description of a line: The line is increasing from left to right and
crosses the y-axis at -3.
A. f(x) = -3x - 3
B. f(x) = 3x + 3
C. f(x) = -3x + 3
D. (x) = 3x - 3
In a class of 26 students, 11 are female and 10 have an A in the class. There are 2 students who are female and have an A in the class. What is the probability that a student is a female given that they have an A?
The probability that a student is a female given that they have an A is 0.2
How to determine the probability?The given parameters are:
Female = 11
A= 10
Female and A = 2
The probability is calculated using:
P(Female given A) = P(female and A)/P(A)
This gives
P(Female given A) = 2/10
Simplify
P(Female given A) = 0.2
Hence, the probability that a student is a female given that they have an A is 0.2
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Bob packs 13 pounds of nuts in bags. Each bag has 1/4 pound of nuts. Which equation shows the number of bags Bob packed with all the nuts?
13 × 1/4 = 52
13 ÷ 1/4 = 52
13 ÷ 1/4 = 14/4
13 × 1/4 = 13/4
The equation for the bag with all nuts is 13 / ( 1/4 ) = 52 bags
Given data ,
Bob packs 13 pounds of nuts in bags.
Each bag has 1/4 pound of nuts
Now , the number of bags = pounds of nuts / pounds of nuts in each bag
A = 13 / 1/4
On simplifying the equation , we get
A = 52 bags
Hence , the number of bags is 52 bags
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solve for x filler filler filler filler filler filler
Answer:
-7
Step-by-step explanation:
All the white cubes represent 1, therefore there are 5 cubes. So the equation is 5 + -x = -2. Since 5 + -7 = -2, then -7 is our answer.
All of the odd numbers from 1-999 would equal the sum of
Answer:
249500
Step-by-step explanation:
Are the following figures similar?
Trapezoids ABCD and EFGH are shown. Angle A equals 137 degrees, Angle B equals 90 degrees, Angle C equals 90 degrees, Angle D equals 43 degrees, Angle E equals 136 degrees, Angle F equals 90 degrees, Angle G equals 90 degrees, Angle H equals 44 degrees.
No, the trapezoids are not similar because their corresponding angles do not have the same measures.
The given trapezoids ABCD and EFGH can be analyzed to determine if they are similar. Similarity in geometric figures implies that their corresponding angles are congruent, and their corresponding sides are proportional.
Let's examine the angles of the trapezoids:
In trapezoid ABCD:
Angle A = 137 degrees
Angle B = 90 degrees
Angle C = 90 degrees
Angle D = 43 degrees
In trapezoid EFGH:
Angle E = 136 degrees
Angle F = 90 degrees
Angle G = 90 degrees
Angle H = 44 degrees
By comparing the angles, we can observe that angles B and F are both right angles (90 degrees) in both trapezoids. Additionally, angles C and G are also right angles (90 degrees) in both trapezoids.
However, angles A and E, as well as angles D and H, do not have the same measures. Angle A measures 137 degrees in trapezoid ABCD, while angle E measures 136 degrees in trapezoid EFGH. Similarly, angle D measures 43 degrees in trapezoid ABCD, while angle H measures 44 degrees in trapezoid EFGH.
Since the corresponding angles in the two trapezoids do not have the same measures, we can conclude that trapezoids ABCD and EFGH are not similar.
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Solve for x.
3/4(8x-12)=2(4x+1)-4
What are the step to this equation.
describe the inequality 5x>4x+7 in words
Answer:
five times a number is greater than the sum of four times that number and seven
g in a school course, course x is related to course y if all the students who take course x are also in course y
This question is incomplete , I am answering this question in general as per my knowledge.
No, because you gave T a Boolean when T expected a student as its first argument and a course as its second parameter. This will be less formal if.
The expected,
T(‘‘user2012813",‘‘discrete math")=true
However, the function F(x) and A both yield either true or false (y). Thus, you are attempting to assess
T(F(‘‘user2012813"),A(‘‘discrete math"))=T(true, false)= NULL
Only the first formulation makes sense, but after relations are established, these kinds of structures can be used.
Null functions as both a value and a pointer in computer programming. A built-in constant called null has a value of zero. It is the same as how strings in C are terminated with the letter 0.
Null is another possible value for a pointer, and unless the CPU supports a unique bit pattern for a null pointer, it has the same value as zero.
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1
3.8.2 - Test: Functions, Equations, and Graphs Unit lest Part 2
Algebra 2 A (CL), 7 20/3. Functions, Equations, and Graphs / 3 8. Functions, Equations, and Graphs Unit Test
1. Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
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у
7
11
8
13
9
15
17
10
1. Determine whether y varies directly with X. If so, complete steps 2 and 3 below. If not, explain why not.
2. Find the constant of variation, k
3. Write the equation
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i
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Font Family
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Answer:
y do not vary directly with x
Step-by-step explanation:
Given
x ----- y
7------11
8------13
9------15
10----17
Required
Determine if y varies directly with x
To do this, we make use of the following equation
\(y = kx\)
Where
k = constant of variation
Make k the subject
\(k = \frac{y}{x}\)
When
\(x = 7; y = 11\)
\(k = \frac{11}{7}\)
\(k = 1\frac{4}{7}\)
When
\(x = 8; y = 13\)
\(k = \frac{13}{8}\)
\(k = 1\frac{5}{8}\)
Note to have a direct variation, the constant of proportionality must be equal for all corresponding values of x and y.
In the above calculations, we have:
\(k = 1\frac{4}{7}\) and \(k = 1\frac{5}{8}\)
Because of the difference in the values of k, we can conclude that y do not vary directly with x.
Hence, there's no need to solve for other x and y values and there's no need to solve for (2) & (3)
Estimate 11,319+4,865 by first rounding each number to the nearest thousand.
Answer:
16,000
Step-by-step explanation:
11,319 rounded to the nearest thousand is 11,000.
4,895 rounded to the nearest thousand is 5,000.
11,000 + 5,000 is equal to 16,000.
The hole for a support needs to be6 feet deep. It is currently 2 feet 9 inches deep. How much deeper must the hole be. Use the conversion factor 12 inches/ 1 foot
The hοle needs tο be 39 inches deeper.
What is the cοnversiοn factοr?A cοnversiοn factοr is a number used tο change οne set οf units tο anοther, by multiplying οr dividing. When a cοnversiοn is necessary, the apprοpriate cοnversiοn factοr tο an equal value must be used. Fοr example, tο cοnvert inches tο feet, the apprοpriate cοnversiοn value is 12 inches equals 1 fοοt.
The current depth οf the hοle is 2 feet 9 inches, which is the same as 2 + 9/12 = 2.75 feet (since there are 12 inches in 1 fοοt).
Tο find οut hοw much deeper the hοle needs tο be, we need tο subtract the current depth frοm the required depth:
6 feet - 2.75 feet = 3.25 feet
Hοwever, we are asked tο express the answer in inches, sο we need tο cοnvert the 3.25 feet tο inches using the given cοnversiοn factοr:
3.25 feet x 12 inches/1 fοοt = 39 inches
Therefοre, the hοle needs tο be 39 inches deeper.
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Write the number eight million, one in number form
Answer:
8000001
Step-by-step explanation:
F(X)=-3x^2+12x-9 determine if it’s maximum or minimum and find the value
Answer:
the function f(x) = -3x^2 + 12x - 9 has a maximum value of 3, which occurs at x = 2.
Step-by-step explanation:
To determine whether the function f(x) = -3x^2 + 12x - 9 has a maximum or minimum, we can use the fact that a quadratic function has a maximum at the vertex if the coefficient of x^2 is negative, and a minimum at the vertex if the coefficient of x^2 is positive.
In this case, the coefficient of x^2 is -3, which is negative, so the function has a maximum at the vertex. The x-coordinate of the vertex is given by -b/2a, where a is the coefficient of x^2 and b is the coefficient of x. Using the formula, we get:
x = -b/2a = -12/(2*(-3)) = 2
So the vertex of the parabola is at x = 2. To find the corresponding y-coordinate (i.e. the maximum value of the function), we can substitute x = 2 into the function:
f(2) = -3(2)^2 + 12(2) - 9 = -3(4) + 24 - 9 = 3
Therefore, the function f(x) = -3x^2 + 12x - 9 has a maximum value of 3, which occurs at x = 2.
Point A is located at (7, -3) and is reflected in the y-axis. What are the coordinates of point A'?
a (-7, -3)
b (-7, 3)
c (7, 3)
d (7, -3)
Answer:
its B
Step-by-step explanation:
at a baseball game a vender sold a combined total of 141 sodas and hot dogs. the number of sodas was 51 more than the number of hotdogs sold. Find the number of sodas sold and the number of hot dogs sold
Write the expression as a single power of b.
open parentheses b to the power of begin display style 3 over 4 end style end exponent over b to the power of begin display style 1 fourth end style end exponent close parentheses to the power of 1 half end exponent
The simplified form of the given expression is x raise to the power of one-thirty.
What is an expression?An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
here, we have,
Simplifying indices expressions
Given the indices expression (x^1/2/(x^1/3)^1/5
Using the indices law below:
a^m/a^n = a^m-n
(a^m)^n
Applying the law above to the given equation
(x^1/2/(x^1/3)^1/5 = (x^1/2-1/3)^1/5
(x^1/2/(x^1/3)^1/5 = (x^1/6)^1/5
(x^1/2/(x^1/3)^1/5 = x^1/30
Hence the simplified form of the given expression is x raise to the power of one-thirty.
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Which set of points lies on the the graph of the function? Responses A {(0, 0), (-1, -1), and (1, 1)}{(0, 0), (-1, -1), and (1, 1)} B {(0, 0), (-1, 1), and (1, -1)}{(0, 0), (-1, 1), and (1, -1)} C {(0, 0), (1, 1), and (2, 2)}{(0, 0), (1, 1), and (2, 2)} D {(1, 1), (1, 2), and (2, 3)}{(1, 1), (1, 2), and (2, 3)} E {(0, 0), (-1, 1), and (1, 2)}{(0, 0), (-1, 1), and (1, 2)} DUE TODAY PLEASE PLEASE PLEASE PLEASE HELP I'LL GIVE FIVE STARS AND HEART I'D APPRECIATE IT SO MUCH
The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.
This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.
To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function y = x.
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Answer:
The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.
This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.
To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function y = x.
Step-by-step explanation:
Write an integral that represents the area of the shaded region of the figure. Do not evaluate the integral. r = cos(2θ)
The area of the shaded region - \(\int\limits^\frac{5\pi }{4} _\frac{3\pi }{4}\) \(cos^{2}\) 2θ dθ
Determine α, β and f(θ).
To determine α and β, imagine a clock dial that turns counter-clockwise around the origin. The shaded area must be passed over by the dial. Place the dial in its starting position, and find the angle it makes with the horizontal axis, this angle is α. Do the same for the dial's end position, this angle \(\beta\) .
To find f(θ), this equals r.
α= \(\frac{3\pi }{4}\)
β= \(\frac{5\pi }{4}\)
f(θ)=r=cos2θ
we know the integration formula,
A = \(\int\limits^\alpha _\beta\) f (θ )² dθ
Hence, the area of the shaded region:
A = \(\int\limits^\frac{5\pi }{4} _\frac{3\pi} {4} \,\) \(cos^{2}\) 2θ dθ
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Can u please help me with 3&4 I’m giving 20 point please help me
Answer:
Step-by-step explanation:
A project has the following projected outcomes in dollars: $230, $340, and $590. The probabilities of their outcomes are 25%, 55%, and 20% respectively. What is the expected value of these outcomes? $362.50 $347.50 $407.50 $377.50
Answer:
$362.5
Step-by-step explanation:
Given that :
x : _____ 230 ______340 ______ 590
P(x): ____0.25______0.55 _____ 0.20
To obtain the expected value E(x) of the outcome ; we can use the formula :
E(x) = Σ(x * P(x))
E(x) = (230 * 0.25) + (340 * 0.55) + (590 * 0.20)
E(x) = 57.50 + 187 + 118
E(x) = 362.50
name each anchor in four ways
Answer:
< E
< 1
< DEF
< FED
Step-by-step explanation:
When you use three letters, E has to be in the middle.
Which expression is equivalent to "9 more than the quotient of x and 5
The required expression is (x / 5) + 9
Given that we have to build an equation for the statement "9 more than the quotient of x and 5,
So,
This expression represents the quotient of x divided by 5, and then adding 9 to the result.
Therefore,
"9 more than the quotient of x and 5" can be written mathematically as:
(x / 5) + 9
Hence the required expression is (x / 5) + 9
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f(x)=3/2x-3 g(x)=5x+4 determine where f(x)=g(x)
Answer:
x = -2
Step-by-step explanation:
I am not sure you typed this correctly.
the way you wrote this, it says
f(x) = (3/2)x - 3
but I suspect you mean
f(x) = 3/(2x) - 3
our even
f(x) = 3/(2x - 3)
I assume the last one.
3/(2x - 3) = 5x + 4
that is what is meant by f(x)=g(x) : find out the value(s) of x for which the y/result values of both functions are the same.
so, then we can transform
3 = (5x + 4)×(2x - 3)
3 = 10x² -15x + 8x - 12
10x² - 7x - 15 = 0
and this can be solved by the solution squared equations :
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case here
a = 10
b = -7
c = -15
so,
x = (7 ± sqrt(49 - 4×10×-15))/20 = (7 ± sqrt(49+600))/20 =
≈ (7 ± 25.48)/20
x1 = -18.48/20
x2 = 32.48/20
these are really not nice numbers for a homework or such.
so, let's try the next interpretation of what you wrote.
f(x) = 3/(2x) - 3
3/(2x) - 3 = 5x + 4
3/(2x) = 5x + 7
3 = 10x² + 14x
10x² + 14x - 3 = 0
a = 10
b = 14
c = -3
x = (-14 ± sqrt(196 - 4×10×-3))/20 =
= (-14 ± sqrt(196 + 120))/20 = (-14 ± 17.78)/20
that did not give any good numbers either.
so, next attempt :
f(x) = (3/2)x - 3 = 3x/2 - 3
3x/2 - 3 = 5x + 4
3x/2 = 5x + 7
3x = 10x + 14
7x = -14
x = -2
ok, so it seems the first, original interpretation was correct. sorry.
but just in case, please use the other 2 approaches if and as needed.
Show ur work and check it
4x + 6 < 31 show all work
Answer:
x < 25/4 or x < 6.25
Step-by-step explanation:
subtract 6 from both sides
4x < 25
divide 4 from both sides
x < 25/4 = 6.25
Answer:
x < 25/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define inequality
4x + 6 < 31
Step 2: Solve for x
Subtract 6 on both sides: 4x < 25Divide 4 on both sides: x < 25/4Here we see that any number x less that 6.25 would be a solution of the inequality.
Find the area of the given circle.
99.8 km
Answer:
Area = 7822.61542 km²
Step-by-step explanation:
Área of a circle is:
area = π (d/2)²
π = 3.1416
d = diameter
In this case:
area = 3.1416 * (99.8/2)²
area = 3.1416 * 49.9²
area = 3.1416 * 2490.01
area = 7822.61542km²
Expand. Your answer should be a polynomial in standard form. (- 2h + 9)(9h - 2) = (9h - 2) =
Answer:18h^2+85h-18
Step-by-step explanation:
Answer:
−18h^2+85h−18
Step-by-step explanation:
Solve the equation 2/3x - 1/5x = x - 1
Answer:
To solve the equation:
2/3x - 1/5x = x - 1
First, we need to find a common denominator for 2/3 and 1/5, which is 15. So we can rewrite the equation as:
(10/15)x - (3/15)x = 15/15 x - 1
Simplifying the left side:
(7/15)x = 15/15 x - 1
Multiplying both sides by 15:
7x = 15x - 15
Subtracting 7x from both sides:
-8x = -15
Dividing both sides by -8:
x = 15/8 or 1.875
Therefore, the solution to the equation is x = 1.875.
Here are the shopping times (in minutes) of ten shoppers at a local grocery store.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of shopping times in that class.
(Note that we are using a class width of 5.)
The frequency which is to filled in the table is 1, 4, 2 and 4.
Given that;
All shopping time of ten shopkeeper:
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.
Since, Shopping time is given as ,
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
And, Intervals for which frequency is given is ,
18 to 22, 23 to 27, 28 to 32, 33 to 37.
Hence, WE get;
Numbers in the range 18 to 22 = 18 therefore 1
Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4
Numbers in the range 28 to 32 = 29, 28 therefore 2
Numbers in the range 33 to 37 = 36, 33, 37, therefore 3
Hence, the frequency which is to filled are 1, 4, 2 and 4.
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