Answer:
A. [tex]\frac{c}{11} *7-48[/tex]
Step-by-step explanation:
The length of a piece of paper is 11 inches. What is the length of the paper in
centimeters?
(1 inch = 2.5 centimeters).
Answer:
Length in inches → 11
1 inch = 2.5 centimeters
Length in Centimetres → 11 × 2.5 → 27.5 cm
You begin with $25 in a saving account and $50 in a checking account. Each week you deposit $5 into saving and $10 into checking. After how many weeks is the amount in checking twice the amount in saving?
Answer:
1 week
Step-by-step explanation:
After 1 week
Saving account: $25 + $5 = $30
Checking amount: $50 + $10 = $60
30 x 2 = 60
So it's 1 week
What type of transformation is this? Be specific
A rectangular garden has a length of 60 feet (ft), a width of w ft, and a perimeter of 200 ft.
Which of the following equations best models the garden's perimeter?
The width of the rectangular garden is 40feet. The equation that represents the garden's perimeter is 2(60 + w) = 200.
A rectangular garden has a length of 60 feet (ft)
a width of w ft
and a perimeter of 200 ft.
The formula of perimeter of a rectangle is 2(lenght + width)
The equation that represents the garden's perimeter is 2(60 + w) = 200
2(60 + w) = 200
120 + 2w = 200
2w = 200 - 120
2w = 80
w = 40
Therefore, width of the rectangular garden is 40feet. The equation that represents the garden's perimeter is 2(60 + w) = 200
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If f(x) = 12x and g(x) = -4x-12, find (f ·g)(x).
A.) -48x^2 - 12x
B.) -48x^2 - 144x
C.) -4x^2 - 144x
D.) -192x^2
Answer:
[tex]-48x^2 - 144x[/tex]
Step-by-step explanation:
[tex](f \cdot g)(x)=f(x) \cdot g(x) \\ \\ =12x(-4x-12) \\ \\ =-48x^2-144x[/tex]
y=-3x^2+6x-9
vertex?
Axis of symmetry?
Y-intercept?
show work thx
Step-by-step explanation:
I wrote it on paper. I hope this is helpful
What is the effect on the graph of f (x) = |x| when the function is changed to g(x) =-2|x|
Here the graph shows reflection across x - axis by 2 units.
f(x) = |x| => g(x) = -2|x|.
Solution:Graph transformation is the process of modifying an existing graph or graphed equation to produce a variation of the following graph.The modification of algebraic equations is a common type of problem in algebra.Here given the parent function, f(x)=|x|
The translation is , g(x)= -2|x|
Which is an absolute function.
Here the transformation is .
f(x)=|x| => g(x)= -2|x|
The value of f(x) is reflecting over x- axis and value of y changes by 2 units.
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What is -5/7 times (-1/6)
Answer:
5/42 or 0.1190
hope this helps :)
pls help me with this
the data shows the price over time for selling Gidgets. Use the data to make a scatter plot in Desmos and find the LINEAR REGRESSION equation. Round to the nearest hundredth. What is the equation? Do not use spaces.
a) The linear regression equation is y = 1.360x + 6.540
b) The linear regression equation is y = -0.8909x + 37.59
Given,
a) The data;
Time in years, x ; 1, 1.5, 3, 5, 6, 7, 8.5, 10
Price, y ; 8, 9.75, 10.25, 11.80, 13.90, 17, 18, 20.75
We have to find the linear regression equation to the above given data.
We can use regression calculator ;
There are 8 xy pairs.
The linear regression equation is;
y = 1.360x + 6.540
b) The data
Time in years, x ; 1, 1.5, 3, 5, 6, 7, 8.5, 10
Price, y ; 32.5, 35, 37.3, 36.4, 35.7, 32.4, 29, 25
We have to find the linear regression equation to the above given data.
We can use regression calculator ;
There are 8 xy pairs.
The linear regression equation is;
y = -0.8909x + 37.59
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The average height of a barometer during one week was 30.84 inches. for six week days of the same week the average height was 30.18 inches. what was the height on sunday?
The height of the barometer on Sunday = 34.8 inches
How is the barometer height on Sunday calculated?
Consider the barometer height for one week,
The average height of a barometer during one week = 30.84 inches
The total height of a barometer during one week = 30.84 * 7
= 215.88
Consider the barometer height for 6 weekdays,
The average height of a barometer for 6 weekdays of the same week= 30.18 inches
The total height of a barometer for 6 weekdays = 30.18 *6
=181.08
The barometer height on Sunday = One week height- 6 days height
=215.88 - 181.08
=34.8 inches
What is a height?
Height is the distance vertically between an object or figure's top and bottom. Height is also referred to as altitude . Average height is the sum of all the heights divided by the number of the given heights.To learn more about height, refer:
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Which equation can be rewritten as x + 4 = x²? Assume x > 0.
Answer:
We have been given an equation . We are also told that x is greater than 0. We are asked to choose the equation that can be written as our given equation.
Since x is greater than, so we will take positive root on both sides of our given equation as:
Upon looking at our given choices, we can see that option C is same as our answer.
Step-by-step explanation:Therefore, option C is the correct choice.
Answer:2=x
Step-by-step explanation:
x+4=x^2
0+4=x^2
Square root 4 = square root x^2
2=x
Determine if the table below is proportional?
The table represent a direct proportional relation.
How to determine if a table represents a proportional relation
In this question we find a table with four pairs of elements that have to be tested with respect to the direct proportional formula, which is defined below:
y = k · x
Where:
x - Independent variable.y - Dependent variable.k - Constant of proportionality.The table represents a direct proportional relation if and only if there is only one constant of proportionality:
k₁k₁ = 12 / 3
k₁ = 4
k₂k₂ = 20 / 5
k₂ = 4
k₃k₃ = 8 / 2
k₃ = 4
k₄k₄ = 32 / 8
k₄ = 4
As k₁ = k₂ = k₃ = k₄, the table represent a proportional relationship.
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Trapezoid RSTU with vertices R(-13, 7), S(-1, 7), T(-1, -5),
and U(-13,-9); scale factor: k = 1/4,
center of dilation: (-5, 3)
The coordinates of the trapezoid RSTU with vertices R(-13, 7), S(-1, 7), T(-1, -5), and U(-13,-9) after dilation with scale factor of k= 1/4 are
R' (-7, -2) S' (-4, -2) T' (-4, -2.5)U' (-7, -6) How to determine the coordinates of the image after dilationData gotten from the question
Trapezoid RSTU with vertices R(-13, 7), S(-1, 7), T(-1, -5) U(-13,-9)scale factor: k = 1/4center of dilation: (-5, 3)Dilation refers to an increment or reduction in dimension and location of a preimage to get a new image
The coordinate of the image of dilation is gotten using the formula
x₂ = kx₁ - x₀(k - 1) for x coordinate
y₂ = ky₁ - y₀(k - 1) for y coordinate
definition of terms
terms with subscript 2 is corresponding to the image
terms with subscript 1 is corresponding to the preimage
terms with subscript 0 is corresponding to the center of dilation
\k = scale factor
R(-13, 7) ⇒ R'(-7, -2)
x₂ = 1/4 * -13 - -5(1/4 - 1) = -7
y₂ = 1/4 * 7 - -5(1/4 - 1) = -2
S(-1, 7) ⇒ S' (-4, -2)
x₂ = 1/4 * -1 - -5(1/4 - 1) = -4
y₂ = 1/4 * 7 - -5(1/4 - 1) = -2
T(-1, -5) ⇒ T' (-4, -2.5)
x₂ = 1/4 * -1 - -5(1/4 - 1) = -4
y₂ = 1/4 * -5 - -5(1/4 - 1) = -2.5
U(-13,-9) ⇒ U' (-7, -6)
x₂ = 1/4 * -13 - -5(1/4 - 1) = -7
y₂ = 1/4 * -9 - -5(1/4 - 1) = -6
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The function g(x) is defined as g(x) = -2x^2 - 4x + 2 The value of g(-3)
which of the following is not a step in a hypothesis test? a. state the null hypothesis about a population. b. set the alpha level. c. if the sample data is not located in the critical region, we accept the null hypothesis. d. if the sample data is located in the critical region, we reject the null hypothesis.
The following is not a step in a hypothesis test; d. if the sample data is located in the critical region, we reject the null hypothesis.
How to form the hypotheses?There are two hypotheses. The first one is called the null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test.
The hypothesis which substitutes the null hypothesis is an alternate hypothesis.
We know that the Null hypothesis is the one that researchers try to disprove.
The null hypothesis must be rejected if we choose the 99.7 percent of confidence level.
The following is not a step in a hypothesis test; d. if the sample data is located in the critical region, we reject the null hypothesis.
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12. Troy made 5 out of 7 jumps on his dirt bike. What percentage ofjumps did he make?62%57%85%71%
Question: Troy made 5 out of 7 jumps on his dirt bike. What percentage of jumps did he make?
Answer:
Note that, the 7 jumps are 100 percent of the jumps. Therefore, we make a rule of three, that is:
that is equivalent to say the following equation:
percentage of jumps = (5x 100%) ÷ 7 = 500% ÷ 7 = 71.42 = 71,3
that is, approximately 71 %
10 Km to 20 m convert into ratio
Answer:
10 : 0.02 (20m)
Factorise 4x^2+13x-15
The factors of the given quadratic equations are [tex]\frac{-13+\sqrt{409} }{8}[/tex] and [tex]\frac{-13-\sqrt{409} }{8}[/tex]
What is factorization?
When we try to write the given equation in terms of linear values from which we calculate the roots of the given equation then we say that we have factorized them. Root of a equation means a value which satisfies a equation.
We are given a quadratic equation
[tex]4x^2+13x-15[/tex]
We use quadratic formula to compute the factor of the equation
[tex]x=\frac{-b}{2a}[/tex]±[tex]\frac{\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-13}{8}[/tex]±[tex]\frac{\sqrt{169+240} }{8}[/tex]
[tex]x=\frac{-13}{8}[/tex]±[tex]\frac{\sqrt{409} }{8}[/tex]
Therefore the factors are [tex]\frac{-13+\sqrt{409} }{8}[/tex] and [tex]\frac{-13-\sqrt{409} }{8}[/tex]
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For a ratio of 3:2, divide AB into 3 equal parts. Each equal part is 3 units, so the point that divides AB into a 3:2 ratio is 0. For a ratio of 3:2, divide AB into 3 equal parts. Each equal part is 3 units, so the point that divides AB into a 3:2 ratio is 3. For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 1. For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2.
The correct option regarding the ratio is given as follows:
For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2.
RatioA ratio of an amount a over a total amount a + b is given as follows:
r = a/(a + b) = a:b.
In the context of this problem, the ratio is given as follows:
r = 3:2.
Hence the number of equal parts is given by:
equal parts = 3 + 2 = 5.
The length of the segment is:
B - A = 6 - (-4) = 10 units.
Hence the length of each equal part is:
length equal part = 10/5 = 2.
The point that is 3/5 of the way from point -4 to point 6 is found as follows:
x - (-4) = 3/5(6 - (-4))
x + 4 = 30/5
x + 4 = 6
x = 2.
Meaning that the correct option is given by the last one.
Missing informationThe coordinates of A and B are missing, and they are given as follows:
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8. Kyle went out to eat. His meal was
$18, not including tip. Once tip was
added he paid $21. What was the
percent of increase in the price he paid?
$3
the amount paid after adding tip is $21
the amount for the meal is $18
$21-$18=$3
If f(x) is an exponential functionwhere f(-2) = 1 and f(7) = = 63,then find the value of f(1) , to thenearest hundredth.
An exponential function has the form
[tex]y=ab^x[/tex]Therefore, to find an exponential function that satisfies our condition, we need to find a and b.
From f(-2) = 1, we have
[tex]1=ab^{-2}\: ^{}\: \: \: \: \; ^{}\: \: \: \: \; (1)[/tex]and from f(7) = 63, we have
[tex]63=ab^7\: \: \: \: \; ^{}\: \: \: \: \; (2)[/tex]Solving for a in equation (1) gives
[tex]a=b^2[/tex]substituting this value of a into equation (2) gives
[tex]63=b^2\cdot b^7[/tex][tex]63=b^8[/tex][tex]\begin{gathered} \therefore b=\sqrt[8]{63} \\ b=1.6785 \end{gathered}[/tex]With the value of b in hand, we now find the value of a:
[tex]\begin{gathered} a=b^2 \\ \therefore a=2.8173 \end{gathered}[/tex]Hence, the exponential function is
[tex]f(x)=(2.8173)(1.6785)^x[/tex]Evaluating the above function at x = 1 gives
[tex]\begin{gathered} f(1)=(2.8173)(1.6785)^1 \\ \boxed{\therefore f(1)=4.73.} \end{gathered}[/tex]which is our answer!
Which of the following is a graph of a function
Please help as soon as possible!!!!!!
5. Which might be your first step if you want to solve the
system by elimination?
1st equation: 5x + 4y = 7
2nd equation: 2x - 3y = 3
A) Substitute -10y + 7 for x in the second equation.
B) Substitute 3y + 3 for x in the second equation.
C) Multiply the first equation by 3, multiply the second
equation by 4, then add the resulting equations
together.
D Multiply the first equation by 2, multiply the second
equation 5, then add the resulting equations together.
Answer:
C)
Step-by-step explanation:
elimination is not substitution.
therefore, A and B are out.
D does not work, because in the described way the x terms don't get different signs, and the addition does not eliminate any variable.
C brings both y terms to the same absolute value, and their signs are different, so the addition will eliminate the y terms leaving us with one equation in x that we can solve :
15x + 12y = 21
8x - 12y = 12
---------------------
23x 0 = 33
23x = 33
x = 33/23
Answer:
a is the right answer for you
Determine the midpoint of segment Ed coordinates e and d are 2 and -2
Answer: Midpoint = 0
Explanation:
The midpoint of segment ED can be calculated as:
[tex]\text{Midpoint}=\frac{E+D}{2}[/tex]Where E and D are the coordinates of E and D respectively.
So, replacing E by 2 and D by -2, we get:
[tex]\text{MIdpoint}=\frac{2+(-2)}{2}=\frac{2-2}{2}=\frac{0}{2}=0[/tex]Therefore the midpoint of segment ED is equal to 0.
This is following statement, true or false
The lines aren't parallel since they intersect at point B.
Parallel lines never intersect.
In Central city, there are 29,791 registered voters and 93 voting centers. Each voting centers serves about _____ of the city's population, what's the answer?
If in Central city, there are 29791 registered voters and 93 voting centers, then each voting centers serves about 320 of the city population.
Total number of registered voters in Central city = 29791 voters
Total number of voting centers = 93 voting centers
The number of population serves by each center = Total number of registered voters in Central city ÷ Total number of voting centers
Substitute the values in the equation
The number of population serves by each center = 29791/93
= 320.33
≈ 320
Hence, If in Central city, there are 29791 registered voters and 93 voting centers, then each voting centers serves about 320 of the city population.
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Solve for y:
2x+4y=32
Answer:
Step-by-step explanation:
2x+4y=32
Get Y on one side of equation by itself
(subtract 2x on both sides)
leaves 4y = 32 - 2x
Divide by 4 to get Y alone (without coefficient)
4y = 32 - 2x
4
y = 8 - 1/2x
A. 2x-1+3x=0 B. 5x-1=0 How can we get Equation B from Equation A ?
By taking x as a common factor we get:
2x - 1 + 3x = 0
(2 + 3)*x - 1 = 0
5x - 1 = 0
How to get equation B from equation A?Let's start with equation A, it is:
2x - 1 + 3x = 0
If we group like terms, we will get:
(2x + 3x) - 1 = 0
Now we can take x as a common factor in the left term, so we get:
(2x + 3x) - 1 = 0
(2 + 3)*x - 1 = 0
Now we simplify the sum in the left term:
(2 + 3)*x - 1 = 0
5x - 1 = 0
This is equation B.
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You have 8 times as many dimes as nickels. You have 18 dimes and nickels altogether how much money do you have in all?
For the given condition of dimes is 8 times of nickel and there are 18 dimes and nickels altogether, then total money is equal to $1.
As given in the question,
Let x be the number of dimes
Then number of nickels are 8x.
As per given condition,
Total number of dimes and nickels = 18
⇒ x + 8x = 18
⇒ 9x = 18
⇒ x= 2
Number of dimes =2
Number of nickels = 8(2)
= 16
Conversion:
1 dime = 0.10$
1 nickel = 0.05$
Total amount of money in dollars
= 2 ×(0.10) + 16× (0.05)
= 0.20 + 0.80
= 1.00
Therefore, for the given condition of dimes is 8 times of nickel and there are 18 dimes and nickels altogether, then total money is equal to $1.
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A given triangle has vertices at (-3, 1) (2, 4) and (5, -3). If the triangle were rotated 180 degrees counterclockwise, the new coordinates would be:
The new coordinates when we rotate the triangle counterclockwise is (3, -1), (-2, -4), (-5, 3).
Given,
The triangle with vertices;
(-3, 1) (2, 4) and (5, -3).
We have to find the new coordinates, when the triangle rotated 180 degrees counter clockwise;
Here,
The vertices;
(-3, 1) (2, 4) and (5, -3).
When we rotate 180 degree counter clockwise, the plane changes not the point.
That is,
(-3, 1) becomes (3, -1)
(2, 4) becomes (-2, -4)
(5, -3) becomes (-5, 3)
That is,
The new coordinates when we rotate the triangle counterclockwise is (3, -1), (-2, -4), (-5, 3).
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The new coordinates when we rotate the triangle counterclockwise is (3, -1), (-2, -4), (-5, 3).
Given,
The triangle with vertices;
(-3, 1) (2, 4) and (5, -3).
We have to find the new coordinates, when the triangle rotated 180 degrees counter clockwise;
Here,
The vertices;
(-3, 1) (2, 4) and (5, -3).
When we rotate 180 degree counter clockwise, the plane changes not the point.
That is,
(-3, 1) becomes (3, -1)
(2, 4) becomes (-2, -4)
(5, -3) becomes (-5, 3)
That is,
The new coordinates when we rotate the triangle counterclockwise is (3, -1), (-2, -4), (-5, 3).
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