Answer:
Y=5
Step-by-step explanation:
If the slope is 0 it will be a line parallel to the x axis with a constant value of y and since we know it passes through a point with y coordinate of 5 we know that the constant value of y is 5
If y varies directly as x, and y is 20 when xis 4, what is the constant of variation for this relation?
Answer:
The constant of variation for this relation is k = 5
Step-by-step explanation:
Step:1
given 'y' varies directly as x that is [tex]y \alpha x[/tex]
[tex]y = kx[/tex] where k is constant ........(1)
Given y value is 20 and x value is 4
now substitute x = 4 and y=20 in equation (1)
we get solution, 20 = k (4)
dividing '4' on both sides, we get
k = 5
verification:-
y = k x
put k= 5 , y=20 and x= 4
20 = 20
At a football game, a vender sold a combined total of 213 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the
number of sodas and the number of hot dogs sold.
142 sodas and 71 hot dogs are sold
Solution:
Let "a" be the number of sodas sold
Let "b" be the number of hot dogs sold
At a football game, a vender sold a combined total of 213 sodas and hot dogs
Therefore,
number of sodas sold + number of hot dogs sold = 213
a + b = 213 ------------ eqn 1
The number of sodas sold was two times the number of hot dogs sold
Number of sodas sold = two times the number of hot dogs sold
a = 2b ---------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
2b + b = 213
3b = 213
b = 71
Substitute b = 71 in eqn 2
a = 2(71)
a = 142
Thus 142 sodas and 71 hot dogs are sold
the function f (x) = 1n ( x ) has been transformed so that there is a vertical asymptote at x= -3 what is the equation of the resulting function g ( x) ?
A: g (x) = 1n (x)-3
B: g (x) = 1n (x) + 3
C: g (x) = 1n ( x-3)
D: g = 1n ( x +3)
Answer:
C
Step-by-step explanation:
The equation of the function g(x) after the transformation is g(x) = kn(x - 3).
What are Vertical Asymptotes?A vertical asymptote of a function is the vertical line x = c such that the function tends to approach to infinity as the value of x approaches c.
Given a function f(x) = = ln (x).
The vertical asymptote of the logarithmic function is x = 0.
If the vertical asymptote of the new function is x = 3, this means that the function is shifted to the right by 3 units.
When f(x) is shifted to right by k units, new function is f(x - k).
So the function g(x) is,
g(x) = f(x - 3) = ln (x - 3).
Hence the correct option is C.
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I don’t need an explanation I just need the answer
Answer:
C
Step-by-step explanation:
Answer:
the answer is the third one
HALP ME PLZ::: Find the value of k if it is known that the line y=kx+5 goes through point (−6, 14).
Answer:
k = -3/2
Step-by-step explanation:
Write the equation of the line.
Replace x and y with the x- and y-coordinates, respectively, of the point.
Solve for k.
y = kx + 5
Replace x with -6. Replace y with 14.
14 = k(-6) + 5
Solve for k.
14 = -6k + 5
9 = -6k
k = -9/6
k = -3/2
Answer:
-7/6
Step-by-step explanation:
You know that x = -6 and y = 14 so you can plug them into your equation like this:
12= k(-6) + 5
Then solve for k
12-5 = 7
k = -7/6
7 points each plus brainliest! 2/7 divided by 2 3/4
Answer:8/77
Step-by-step explanation:
Answer: 8/77
Step-by-step explanation:
2/7 divided by 11/4 = 2/7 x 4/11
2/7 x 4/11 = 8/77
0.7 is 5% of what number
Solve for a.
α+ (-7) = -17
What is the answer?
Ο α = -24
Ο
= -10
O a = 10
O a = 24
HELPPPP
Answer:
a=24
Step-by-step explanation:
a+(-7)=-17
a+(-7)(+7)=-17+7
a=24
Which equation requires the use of the division property of equality to be solved? 6 a = 420 a + 6 = 420 StartFraction a Over 6 EndFraction = 420 a minus 6 = 420
Option 1: 6a = 420 requires division property of equality to be solved
Step-by-step explanation:
Solving an equation means to find the value of a variable by isolating the variable on one side of the equation.
We will see all the options one by one.
Option 1:
[tex]6a = 420[/tex]
In this option, 6 is multiplied with the variable so we have to divide the whole equation by 6 to find the value of a.
So we will use "Division property of Equality"
Dividing both sides by 6
[tex]\frac{6a}{6} = \frac{420}{6}\\a=70[/tex]
Hence,
Option 1: 6a = 420 requires division property of equality to be solved
Keywords: Linear equation, variables
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Answer:
6a = 420
Step-by-step explanation:
PLEASE HELP ME
Describe the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z”.
Answer:
Reflection in the x-axis followed by a translation 5 units left and 1 unit up
Step-by-step explanation:
The coordinates of X are (-6,2).
When we reflect in the x-axis we get X'=(-6,-2)
When we translate by the rule T(x-5,y+1), we get X"=(-6-5,-2+1)=(-11,-1)
The coordinates of Y are (-4,7).
When we reflect in the x-axis we get Y'=(-4,-7)
When we translate by the rule T(x-5,y+1), we get Y"=(-4-5,-7+1)=(-9,-6)
The coordinates of Z are (-2,2).
When we reflect in the x-axis we get Z'=(-2,-2)
When we translate by the rule T(x-5,y+1), we get Z"=(-2-5,-2+1)=(-7,-1)
Therefore the sequence of transformation is a reflection in the x-axis followed by a translation 5 units left and 1 unit up.
Pls help solve with steps
Answer:
Step-by-step explanation:
God what grade are u in
What is the equation of the line that is parallel to y = –4x + 3 and has a y-intercept of -1/3
Answer:
12x+3y+1 = 0
Step-by-step explanation:
see see the image for the better explanation.
please ask if something is not clear.
Answer:
Step-by-step explanation:
just deez its d btw
The numbers represented by variables w and y on the number line are integers.
If w < x < y, under which of the following conditions could the expression x > 2 be true? Select TWO that apply.
A
when y = 6 and w = 2
B
when y = 4 and w = –1
C
when y = 2 and w = 0
D
when y = 0 and w = –2
E
when y = –1 and w = –4
Option A) when y=6 and w= 2, Option B) when y=4 and w=-1 are the TWO correct choices.
Step-by-step explanation:
The given inequality is w<x<y and x>2.
step 1: let us assume that x=3, since it is given that x>2.
step 2: substitute the value of x=3 and each options in the inequality
step 3: option A) w=2, y=6. Then w<x<y = 2<3<6 (the condition satisfies).
option B) w= -1, y=4. Then w<x<y = -1<3<4 (the condition satisfies).
option C) w= 0, y=2. then w<x<y ≠ 0<2<2 (does not satisfies).
option D) w= -2, y=0. then w<x<y ≠ -2<2<0 (does not satisfies).
option E) w= -4, y= -1. then w<x<y ≠ -4<2<-1 (does not satisfies).
Solve this equation 2(x + 2)/3 = 6
Answer:
Step-by-step explanation:
2(x + 2)/3 = 6
multiply by : 3
2(x + 2) = 18
2x+4 = 18
2x = 18-4=14
x=14/2
x=7
The lines y = x and x = a enclose a triangle with the x- and y-axes.
a) Find the area of the triangle when a = 5
Answer: 12.5
Step-by-step explanation:
As y=x has a slope of 1, it will intersect the line x = 5 at a value of 5, creating an isocoles right triangle with leg length 5. The area of a triangle = (b*h)/2. (5*5)/2 = 12.5 square units
To find the area of the triangle enclosed by the lines y = x and x = a when a = 5, we need to determine the coordinates of the vertices of the triangle. The vertices are (0, 0), (5, 0), and (5, 5). Using the coordinates, we can find the base and height of the triangle and then apply the formula for the area of a triangle.
Explanation:To find the area of the triangle enclosed by the lines y = x and x = a, where a = 5, we need to determine the coordinates of the vertices of the triangle. The vertices will be the points where the lines intersect the axes. For y = x, the vertex is (0, 0), and for x = a, the vertex is (5, 0). The third vertex will be the point where these two lines intersect, which can be found by substituting the value of a into the other equation. So, when a = 5, the third vertex is (5, 5).
We can now use the coordinates of the vertices to find the base and height of the triangle. The base is the distance between the points (0, 0) and (5, 0), which is 5 units. The height is the distance between the points (5, 0) and (5, 5), which is also 5 units.
The formula for the area of a triangle is (1/2) × base × height. Substituting the values, we have (1/2)× 5 × 5 = 12.5 square units. Therefore, the area of the triangle when a = 5 is 12.5.
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Which of the following statements could be translated to the equation n-5=-2?
If five is subtracted from a number, the result is two.
The difference between a number and five is negative two.
A number less than five equals negative two.
Five less a number is equal to two
Answer: The difference between a number and five is negative 2
Step-by-step explanation:
Answer:
The difference between a number and five is negative 2.
Step-by-step explanation:
~King from 7 deadly sins~
whats the factors of 3x2+4x+1
3(m+7)=6(m+2) what is m equal to?
Answer:
see attached picture please
STEPS:
1. Start my distributing through the parentheses on each side
of the equation to get 3m + 21 = 6m + 12.
2. Now move your m's to the right and numbers to the left
and you get 9 = 3m.
3. Divide both sides by 3 and 3 = m.
Work is attached.
lim (8-3x+12x^2)
x 2
could someone help me in this quest plz
Reflections, rotations, and translations are types of transformations. A reflection flips an image, a rotation spins an image, and a translation slides an image. Draw a shape on a piece of paper and cut it out. Then, flip it, spin it, and slide it. Explain how each transformation affects the size and shape of the image you drew.
Answer:
Step-by-step explanation:
first if you reflect an image its still identical think of it as a mirror its the same but on the other side. so if you flip it over the x or y axis it would just be as if you folded the paper and shape is on the other side. a rotation would be as if you moved the shape to another quadrant so if you move it 90 degres to the left it would be be turned slightly and a transformation if you slide it up the image is however many space it was from its current location. so each one moves it from its current location
Answer:Even if you mirror an image, it remains the same. Imagine it as a mirror with the same thing on the opposite side. Therefore, if you turned it over on the x or y axis, the shape would be on the other side just like if you had folded the paper. A transformation would be like sliding the object up however many spaces it was from its current location. For example, if you moved the shape 90 degrees to the left, it would be turned somewhat. A rotation would be like moving the shape to another quadrant. so they all relocate it from their current positions.
Step-by-step explanation:
X/3 is equivalent to 1/3X
Answer:
This is true
Step-by-step explanation:
When looking at x itself it is just ONE x. 1x=x, the 1x isn't necessary to have so it is shown as x. So looking at x/3 you could say it is also 1x/3 which would still be the same if it were 1/3x. Both would still be considered one-third OF x.
The answer is "[tex]3x=3x[/tex]"
Equating:
[tex]\to \frac{x}{3} = \frac{1}{3}x\\\\x=?[/tex]
Cross multiplying the given expression:
[tex]\to \frac{x}{3} = \frac{1}{3}x\\\\\to 3x=3x[/tex]
Therefore, the given statement is "True"
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A hockey player is offered two options for a contract: either a base salary of 50,000 and 1000 per goal, or a base salary of 40,000 and 1500 per goal. How may goals must he score in order to make the same money as the first contract?
Final answer:
The hockey player must score 20 goals to make the same money as the first contract.
Explanation:
In order to make the same amount of money as the first contract, the hockey player must calculate the number of goals required. Let's assume the player needs to score 'x' goals.
For the first contract, the total salary would be 50000 + 1000x. For the second contract, the total salary would be 40000 + 1500x.
Equating the two salaries, we get:
50000 + 1000x = 40000 + 1500x
Subtracting 1000x from both sides, we get:
50000 = 40000 + 500x
Subtracting 40000 from both sides, we get:
10000 = 500x
Dividing both sides by 500, we get:
x = 20
So, in order to make the same money as the first contract, the player must score 20 goals.
What is the approximate volume of a cone with a radius of 15 cm and a height of 4 cm? Round your answer to the nearest hundredth and include units
Answer:
Volume of a cone [tex]=942.86cm^3[/tex]
Step-by-step explanation:
Given that the radius of a cone is 15cm and its height is 4cm
That is r=15cm and h=4cm
To find the volume of a cone :
volume of a cone[tex]=\frac{\pi r^2h}{3}[/tex] cubic units
Now substitute the values in the formula we get
volume of a cone[tex]=\frac{(\frac{22}{7}) (15)^2(4)}{3}[/tex]
[tex]=\frac{(\frac{22}{7}) (225)(4)}{3}[/tex]
[tex]=\frac{19800}{21}[/tex]
[tex]=942.857[/tex]
Now round to nearest hundredth
[tex]=942.86[/tex]
Therefore Volume of a cone[tex]=942.86cm^3[/tex]
Explain why when a rectangular prism is sliced at an angle a variety of shapes can be formed.
Answer:
A two-dimensional slice of a three-dimensional solid is called a cross section. Rectangular prisms have the unique property that a perpendicular cross section (a slice of the prism at a 90-degree angle) always creates a rectangle, no matter where on the prism the cross section is taken.
There are three different types of cross sections of a rectangular prism: x-axis, y-axis and z-axis cross sections, corresponding to slices along one of the three dimensions of space. The sum of these three cross sections is equal to half the surface area of the prism.
Different shapes are formed when a rectangular prism is sliced at different angles due to the way the cut intersects the prism's dimensions. For instance, if you cut diagonally or at an angle, the resulting face could be a parallelogram or even a triangle.
Explanation:When a rectangular prism is sliced at an angle, a variety of shapes can form because of the geometry and dimensions of the prism. Imagine a simple rectangular prism, like a cube. If you slice it horizontally or vertically, you’ll simply create smaller rectangles or squares. However, if you cut diagonally or at an angle, the resulting face could be a parallelogram or even a triangle, depending on how the cut is made. This is a result of changing the orientation of the cut relative to the prism's structure. So, the variety of shapes come as a result of the way the cut intersects the prism's dimensions.
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a scuba diver descended at a rate of 2 1/4 per second. If 0 represents the surface of the water and distances below the surface are negative,which expression represents one way to calculate the location of the diver after 12 1/2 seconds?
To calculate the location of the diver after 12 1/2 seconds, use the formula: location = initial location - (rate of descent * time). The location of the diver after 12 1/2 seconds is -28.
Explanation:To calculate the location of the diver after 12 1/2 seconds, we can use the formula: location = initial location - (rate of descent * time). Since the diver is descending at a rate of 2 1/4 per second, we can plug in the values to calculate their location after 12 1/2 seconds.
Initial location: 0 (surface of the water)
Rate of descent: 2 1/4 per second
Time: 12 1/2 seconds
Using the formula, we have: location = 0 - (2 1/4 * 12 1/2)
Calculating the expression, we find that the location of the diver after 12 1/2 seconds is -28.
Miguel collected aluminum cans for recycling. he collected a total of 150 cans. how many of the cans Miguel collected were not soda cans?
To find the number of non-soda cans collected by Miguel, subtract the number of soda cans from the total number of cans he collected.
Explanation:Miguel collected a total of 150 aluminum cans for recycling. The question asks how many of these cans were not soda cans. To find the answer, we need to subtract the number of soda cans from the total number of cans collected. Let's say x represents the number of soda cans. So, the number of non-soda cans would be 150 - x.
Line that is parallel to y= -3/2x-1
Answer:
See below.
Step-by-step explanation:
There is an infinite number of lines parallel to y = -3/2x - 1.
They have the same slope, -3/2, and a different y-intercept.
Examples:
y = -3/2x + 1
y = -3/2x
y = -3/2x - 5
Carmen has a deck of cards numbered 1-10. She picks one card and flips a coin. How many outcomes are possible.
Answer:
10
Step-by-step explanation:
Out of the ten cards she has ten chances to pick each one
The total number of possible outcomes will be 20.
What is a random sample?Random sampling is the method of selecting the subset from the set to make a statical inference.
Carmen has a deck of cards numbered 1-10. She picks one card and flips a coin.
Then the total number of samples is calculated as,
Total sample = 10 x 2
Total sample = 20
The samples are given below.
(1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (7, H), (8, H), (9, H), (10, H)
(1, T), (2, T), (3, T), (4, T), (5, T), (6, T), (7, T), (8, T), (9, T), (10, T),
The total number of possible outcomes will be 20.
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What is -12/11 = -3/?
Answer:
According to my calculations, the missing number is 11/4
Step-by-step explanation:
What is the standard deviation of the data set? Round to the nearest tenth if needed.
2, 4, 7, 8, 9
Ο
Ο
2.9
Ο
7
Ο
2.6
Answer:
The standard deviation is 2.6076809621.Step-by-step explanation:
The set of values are 2, 4, 7, 8, 9.
The mean of these values are [tex]\frac{2 + 4 + 7 + 8 + 9}{5} = \frac{30}{5} = 6[/tex].
The mean of the squares of the differences of these numbers and the mean is [tex]\frac{(6 - 2)^{2} + (6 - 4)^{2} + (6 - 7)^{2} + (6 - 8)^{2} + (6 - 9)^{2}}{5} = \frac{(4)^{2} + (2)^{2} + (-1)^{2} + (-2)^{2} + (-3)^{2}}{5} = \frac{34}{5} = 6.8[/tex].
In order to get the value of the standard deviation, we need to square-root the value of 6.8.
Hence, the standard deviation of the data set is [tex]\sqrt{6.8} = 2.607680962081[/tex] ≅2.6076809621.
Answer:
Correct answer is 2.9.
Took the test.