Answer: 12
Step-by-step explanation:
Since we are given what v and w are, we can directly plug them in to solve the expression.
w²+1v [plug in v and w]
(3)²+1(3) [exponent]
9+1(3) [multiply]
9+3 [add]
12
The expression is equal to 12.
Which pair of expressions represents inverse functions?
4x-3x/4x-2 and x+2/x-2
4x+2/x-3 and 5x+3/4x-2
2x+5 and 2+5x
x+3/4x-2 and 2x+3/4x-1
Answer:2 hope this helps it was right on my test
Step-by-step explanation: it was right on the test i took
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5-142. Use the similar figures at right to answer the questions.
1. What is the scale factor?______
2. Find the lengths of the missing sides on the similar shapes below.
X=______ Y=_______ Z=_____
Answer:
Z = 22.5, Y = 81, X = 26.7
Step-by-step explanation:
Using the lengths you do know compare them to the copy, the only two lengths available that are for the same side length are 33 and 22, divide them together and you get 1.5. Thats the scale factor. Everything else you can figure out by multiplying or dividing by this scale factor.
\(Z = (15)(1.5) = 22.5\\Y = (54)(1.5) = 81\\X = (40)/(1.5) = 26.7\)
Question 2(Multiple Choice Worth 5 points)
(06.03 MC)
What are the solutions of the system of equations y = -(x + 2)² + 1 and y = 3x + 7?
O(-2, 1) and (5,-8)
O(-2, 1) and (-5, -8)
O (2, -3) and (-5, -8)
O(-2, -3) and (-5, -8)
consider a two-factor factorial design with three levels for facts a, three levels for factor b, and four replicates in each of the nine cells
a. how many degrees of freedom are there in determining the A variation and the factor B variation
b. how many degrees of freedom are there in dreaming the interaction variation
c. how many degrees of freedom are there in determining the random variation
d. how many degrees of freedom are there in determining the total variation
In calculating the factor A variation, there are two degrees of freedom. In determining the variation of factor B, there are two degrees of freedom.
What is a two-factorial design?A two-factor factorial design is an experiment that collects data for all potential values of the two factors of the study. The design is a balanced two-factor factorial design if equivalent sample sizes are used for every of the possible factor combinations.
Suppose we have two components, A and B, each of which has a high number of levels of interest. We will select a random level of component A and a random level of factor B, and n observations will be taken for each experimental combination.
From the data given:
a.
In calculating the factor A variation, there are two degrees of freedom.
In determining the variation of factor B, there are two degrees of freedom.
b.
Finding the degree of freedom using the interaction variation, there are four degrees of freedom.
c.
In finding the random variable, there are 9(4-1) = 27 degrees of freedom.
d.
In calculating the total variable, there are 9*4-1 =35 degrees of freedom.
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The admission fee at a local zoo is $1.50 for children and $4.00 for adults. On a certain day, 1,900 people enter the zoo and $5,600.00 is collected.
please help with question b c d
Need help putting the answer in
Step-by-step explanation:
We can rewrite the given equation as
\(x^2 + \frac{1}{5}x - \frac{12}{25} = (x + \frac{4}{5})(x - \frac{3}{5})\)
As a check, let's multiply out the factors:
\((x + \frac{4}{5})(x - \frac{3}{5}) = x^2 - \frac{3}{5}x + \frac{4}{5}x - \frac{12}{25}\)
\(= x^2 + \frac{1}{5}x - \frac{12}{25}\)
and this is our original equation.
Solve for x.
(x - 2)² = 2
The value of x is 4 and 0
What is basic algebra ?Algebra is a branch of mathematics that helps translate real-world problems or situations into mathematical formulas. Mathematical operations like addition, subtraction, multiplication, and division as well as variables like x, y, and z are needed to construct a valid mathematical expression. Coordinate geometry, calculus, and trigonometry are just a few of the mathematics topics that involve algebra. A simple algebraic equation is 2x + 4 = 8. Algebraic expressions are the result of performing operations on variables and constants, such as addition, subtraction, multiplication, division, etc. Consider that James and Natalie came up with the notion to arrange matchsticks into numerical patterns when they were fiddling with them.
Given that : \((x-2)^{2} = 2\)
\((x-2)^{2} = 2\)
(x-2)=±2
x= 4
x=0
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A system of equations is given.
Equation 1: 4x − 6y = 10
Equation 2: 9x + 2y = 7
Explain how to eliminate x in the system of equations.
Step-by-step explanation:
To eliminate x in the system of equations:
1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:
Equation 1: 36x -54y = 90
Equation 2: -36x - 8y = -28
2. Add the two equations together to eliminate x:
(36x - 54y) + (-36x - 8y) = 90 - 28
Simplifying, we get:
-62y = 62
3. Solve for y:
y = -1
4. Substitute y = -1 into one of the original equations, say Equation 1:
4x - 6(-1) = 10
Simplifying, we get:
4x + 6 = 10
5. Solve for x:
4x = 4
x = 1
Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.
If you flip two coins 68 times, what is the best prediction possible for the number of times both coins will land on heads?the number of times it will land on tails?
If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is 17.
If you flip two coins 68 times, the best prediction for the number of times both coins will land on tails is 17.
What is the probability of getting two heads?The possible outcomes when two coins are flipped are;
head - head = HH
tail - tail = TT
Head and tail = HT
Tail and head = TH
The probability of getting two heads = 1/4
If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is calculated as;
Expected value = (68 flips) x (1/4 probability of getting HH) = 17
The probability of getting two tails = 1/4
Expected value = 68 x 1/4 = 17
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find the equation that represents the proportional relationship in this graph, for y in terms of x
The manager of a restaurant found that the cost to produce 200 cups of coffee is $65.00 , while the cost to produce 250 cups is $77.50 . Assume the relationship between the cost y to produce x cups of coffee is linear. a. Write a linear equation that expresses the cost, y, in terms of the number of cups of coffee, x. b. How many cups of coffee are produced if the cost of production is $135.00 ?
Answer:
a). y = 0.25x + 15
b). x = 480 cups
Step-by-step explanation:
(a). Let the equation of the linear function passing through a point (x', y') is,
y - y' = m(x - x')
'm' = slope of the line
b = y-intercept
Two points lying on the linear function will be (200, 65) and (250, 77.5).
Slope of the line 'm' = \(\frac{y_2-y_1}{x_2-x_1}\)
m = \(\frac{77.5-65}{250-200}\)
= \(\frac{12.5}{50}\)
= 0.25
Therefore, equation of the line passing through (200, 65) and slope 0.25 will be,
y - 65 = 0.25(x - 200)
y - 65 = 0.25x - 50
y = 0.25x + 15
(b). For y = $135 we have to calculate the number of cups of coffee produced.
135 = 0.25x + 15
0.25x = 135 - 15
0.25x = 120
x = 480 cups
Therefore, 480 cups of coffee will be produced.
Multiply (1.2 ⋅ 10^28) ⋅ (3 ⋅ 10^−19). Express the answer in scientific notation.
3.6 ⋅ 109
3.6 ⋅ 1010
36 ⋅ 109
36 ⋅ 1010
Answer:
3.6 × 10^9
Step-by-step explanation:
When multipliying two numbers in scientific notation, the exponents in the factor of 10 will be added when the two expressions are multiplied.
Thus (1.2 ⋅ 10^28) ⋅ (3 ⋅ 10^−19) = ( 1.2 × 3 )
( 10^28 × 10^-19 ) = 3.6 × 10^(28-19) = 3.6 × 10^9
Find the midpoint of the line segment joining the points (-2, -1) and (-8,12).
x¹ = -2 x² = -8
y¹ = -1 y² = 12
Using midpoint formula,
M = ( x¹ + x²/2 ,y¹ + ý²/2)
or,M ={ -2+(-8)/2 , (-1) +12/2}
or, =( -10/2 , 11/2)
:M = ( -5 , 11/2)
For the linear equation y+4x=13,if x =2 what value of y will make the equation
Answer:
5
Step-by-step explanation:
y+4*2=13
y+8=13
y=13-8
y=5
Answer:
5
Step-by-step explanation:
y + 4x = 13
They gave us "x" which is "2", so we can use that to substitute that into the equation.
y + 4x = 13
y + 4(2) = 13
y + 8 = 13
Subtract 8 on both sides to isolate the variable.
y + 8 - 8 = 13 - 8
y = 5
And that is ur answer
Check:
x = 2
y = 5
Use the equation and substitute them
y + 4x = 13
5 + 4(2) = 13
5 + 8 = 13
13 = 13
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Which of these best explains the next step to simplify this expression?
Answer:
Make the -4 exponent in the denominator positive.
I need help with this question.. :')
The equation of the line passing through A and B is y = (4/5)x - (2/5).
What is the line example's equation?A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. The y-axis intercept is denoted by the number c. A straight line with gradient m and intercept c on the y-axis has the equation y = mx + c.
The point-slope form of a linear equation can be used to find the equation of the line passing through points A and B:
y - y1 = m(x - x1) (x - x1)
where m denotes the slope of the line, (x1, y1) denotes the coordinates of point A or B, and (x, y) denotes the coordinates of any other point on the line.
To calculate the slope, we can use points A (3, 2) and B (8, 6).
m = (y2 - y1) / (x2 - x1) = (6 - 2) / (8 - 3)\s= 4 / 5
So the equation for the line connecting A and B is:
y - 2 = (4/5)(x - 3) (x - 3)
This equation can be simplified by multiplying both sides by 5:
5y - 10 = 4x - 12
Then we can rearrange it to form the slope-intercept equation, y = mx + b:
5y = 4x - 2
y = (4/5)x - (2/5)
As a result, the equation for the line connecting A and B is y = (4/5)x - (2/5).
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Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the following step function.
They have different y-intercepts but the same end behavior. Thus, option A is correct.
What is Step functiοn?A step functiοn is mathematical functiοn that takes οn finite number οf cοnstant values οver intervals οf its dοmain. It is alsο knοwn as staircase functiοn οr piecewise cοnstant functiοn. The cοnstant values that functiοn takes οn are οften referred tο as "steps" οf the functiοn.
Tο graph the step functiοn, yοu wοuld start by drawing a cοοrdinate plane with the hοrizοntal axis ranging frοm -5 tο 5 and the vertical axis ranging frοm -2 tο 2. Then, yοu wοuld plοt the pοints (-5,-1), (-4,-1), (-3,0), (-2,1), (-1,1), (0,0), (1,1), (2,-1), (3,-1), (4,0), and (5,1) οn the graph.
They have different y-intercepts but the same end behavior.
They have different y-intercepts because function f(x) is 4, while the y-intercept on graph is 6
But they have the same end behavior at 2.
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Complete question:
Function g is represented by the equation.
\(\rm g(x) = 4 (\frac14)^x + 2\)
Which statement correctly compares the two functions?
A. they have different Y-intercepts but the same end behavior
B. they have the same Y-intercept and the same end behavior
C. they have the same Y-intercept but different end behavior
D. they have different Y-intercepts and different end behavior
Triangle RST with (2,0), s(-2,-3), and t(-2,3) reflected over the y axis. Find the coordinates and vertices
I
Step-by-step explanation:
The coordinates and vertices
which reflected over the y- axis are
r(-2,0) , s(2,-3) , and t(2,3).
A movie theater wanted to determine the average rate that their diet soda is purchased. An employee gathered date on the amount of diet soda remaining in the machine y for several hours after the machine is filled x the following scatter plot and line of fit was created to display the data.
Find the y interpret of the line of fit and explain its meaning in the context of the date.
A. The y-intercept is -5.1 the machine starts with 5.1 ounces of diet soda.
B. The y-intercept is 40.5 the machine starts with 40.5 ounces of diet soda.
C. The y-intercept is -5.1 the machine loses about 5.1 fluid ounces of diet soda each hour.
D. The y-intercept is 40.5 the machine loses about 40.5 fluid ounces of diet soda each hour.
The y-intercept is 40.5 the machine starts with 40.5 ounces of diet soda.
Option B is the correct answer.
We have,
From the graph plot,
We see that,
The y-intercept is when x = 0.
This means,
At 0 hours, the amount of diet soda is 40.5.
Now,
y = 40.5 means the machine starts with 40.5 ounces of diet soda.
Thus,
The y-intercept is 40.5 the machine starts with 40.5 ounces of diet soda.
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Solve following modular equation, using reverse Euclidean algorithm:
\((5 * x) mod 91 = 32\)
The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is
x = 6(mod 91).
Given that (5*x) mod 91 =32.
To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.
Consider (5*x) mod 91 =32.
5x = 32(mod 91)
Apply the Euclidean algorithm to find GCD of 5 and 91 is
91 = 18 * 5 + 1.
Rewrite it in congruence form,
1 = 91 - 18 *5
On simplifying the equation,
1 = 91 (mod 5)
The modular inverse of 5 modulo 91 is 18.
Multiply equation by 18 on both sides,
90x = 576 (mod91)
To obtain the smallest positive solution,
91:576 = 6 (mod 91)
Divide both sides by the coefficient of x:
x = 6 * 90^(-1).
Apply the Euclidean algorithm,
91 = 1*90 + 1.
Simplify the equation,
1 + 1 mod (90)
The modular inverse of 90 modulo 91 is 1.
Substitute the modular inverse in the given question gives,
x = 6*1(mod 91)
x= 6 (mod91)
Therefore, the solution to the modular equation (5x) mod 91 is
x = 6(mod 91).
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Sphenathi stated that the distance from Bloemfontein to upington is 16.3 show all calculations whether his claim is correct
The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.
To determine the distance between Bloemfontein and Upington, we used the Haversine formula, which computes the shortest distance between two points on the surface of a sphere. We first begin by finding the latitude and longitude of the two cities.Bloemfontein is located at -29.1211° latitude and 26.2140° longitude.Upington is located at -28.4478° latitude and 21.2561° longitude.Using the Haversine formula, we can determine that the distance between the two cities is about 582 kilometers.Sphenathi's statement that the distance from Bloemfontein to Upington is 16.3 kilometers is incorrect. Perhaps they mistakenly calculated the distance between two points within the cities. They could also have made a typographical mistake while writing their statement. Therefore, the statement is false, and the actual distance between Bloemfontein and Upington is 582 kilometers.For such more question on longitude
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Evaluate the expression for s = 10, t = –2, and u = 9.
t2u + s = ?
Answer:
46
Step-by-step explanation:
You want to evaluate the expression t²u+s for t=-2, u=9, s=10.
Evaluating an expressionPut the numbers in the places of the corresponding variables, and do the arithmetic.
(-2)²·9 +10 = 4·9 +10 = 36 +10 = 46
The value of the expression is 46.
Erika drives from school to soccer practice 1.3 miles away. It takes her 7 minutes.
a.
b.
C.
d.
What fraction represents her constant speed, C?
What fraction represents her constant speed, C, if it takes her x minutes to drive exactly 1 mile?
Write a proportion using the fractions from parts (a) and (b) to determine how much time it takes her to drive
exactly 1 mile. Round your answer to the tenths place.
Write a two-variable equation to represent how many miles Erika can drive over any time interval.
a. Constant speed, C = 0. 19 miles/minutes
b. The fraction representing her constant speed is 1/x miles/minutes
c. The time it takes her to drive exactly 1 mile is 5. 38 minutes
How to determine the valueThe formula for calculating constant speed is expressed as;
Constant speed = total distance covered/ total time taken
From the information given, we have that;
Total distance = 1. 3milesTime taken = 7 minutesNow, substitute the values into the formula
Constant speed = 1. 3 / 7
Divide the values
Constant speed = 0. 19 miles/minutes
When distance 1 mile, time taken = x minutes
Constant speed = 1/x miles/minutes
If 1. 3 miles = 7 minutes
Then, 1 mile = x
cross multiply
x = 7/1. 3
x = 5. 38 minutes
Hence, the constant speed is 0. 19 miles/minutes
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Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y
The solution to the system of equations is x = 1 and y = -3.
To solve the system of equations using the substitution or elimination method, let's start with the substitution method.
Given equations:
y = 4x - 7
4x + 2y = -2
We'll solve equation 1) for y and substitute it into equation 2):
Substituting y from equation 1) into equation 2):
4x + 2(4x - 7) = -2
4x + 8x - 14 = -2
12x - 14 = -2
Now, we'll solve this equation for x:
12x = -2 + 14
12x = 12
x = 12/12
x = 1
Now that we have the value of x, we can substitute it back into equation 1) to find y:
y = 4(1) - 7
y = 4 - 7
y = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
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What is x – 9 squared?
Answer:
. so, suppose for (x-9)squared. = x*2 + 81 - 2 {1} {9x} = x*2 + 81 -18x. that's the answer.
Step-by-step explanation:
the formula is (a - b) squared. = a*2 + b*2 - 2ab.
The required value of the square of x - 9 is x² - 18x + 81.
Given that,
What is x – 9 squared is to be determined.
In mathematics, it deals with numbers of operations according to the statements.
What is simplification?The methodology in mathematics to employ and analyze the function or expression to make the function or expression superficial or more intelligible is called simplifying and the process is called simplification.
Here,
Square of (x - 9)
= (x - 9)²
= (x - 9)(x - 9)
= x² - 9x - 9x + 81
= x² -18x + 81
Thus, the required value of the square of x - 9 is x² - 18x + 81.
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Which of these provides the best evidence that an environmental change has occurred?
Answer:
after a dry periods lasting many years only a few individuals of a tree population survive and then produce drought tolerant offspring.
Step-by-step explanation:
Let A = {1, 2, 3} and R be the following relation on A;
R = {(1, 1), (1, 2), (1, 3), (3, 1), (2, 3)}
Answer:
The relation is reflexive as
(1,1),(2,2),(3,3)∈R
(2,1)∈R will not imply (1,2)∈R,
hence R is not symmetric
(2,1),(1,3)∈R doesn't imply (2,3)∈R, hence R is not transitive
Step-by-step explanation:
hope this helps if not let me know have a blessed day
help me fast rapidly is of khan academy:
Answer:
0 hundreds
0 tens
7 ones
.
4 tenths
0 hundredths
8 thousandths
Standard form=7.408
Step-by-step explanation:
Lets first solve (7x1)+(4x1/10)+(8x1/1000)
7+0.4+0.008
Simplify:
7.408
PLEASE MARK AS BRAINLIESTwhich of the above diagrams correctly portray a perfectly competitive firm's demand ( d) curve? a. a b. d c. b d. c
Correct option will be (C) In the short run, firms may incur economic losses or earn economic profits, but in the long run they earn normal profits.
The short run is a concept that states that, within a certain period in the future, at least one input is fixed while others are variable. In economics, it expresses the idea that an economy behaves differently depending on the length of time it has to react to certain stimuli. The short run does not refer to a specific duration of time but rather is unique to the firm, industry or economic variable being studied.
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