Answer:
C)
2y-x=-103y-x=18Step-by-step explanation:
Set each side of the equation equal to y, then rearrange to standard form.
(1/2)x -5 = y . . . left side of the equal sign
x -10 = 2y . . . . multiply by 2
-10 = 2y -x . . . . subtract x
__
(1/3)x +6 = y . . . right side of the equal sign
x +18 = 3y . . . . . multiply by 3
18 = 3y -x . . . . . subtract x
The corresponding system of equations is ...
2y -x = -103y -x = 18PLS HELP ME.
A strip of metal sheet 2cm thick is wound ten times round a cylindrical rod of diameter 9cm and height 8cm such that it fits exactly .calculate the volume of the resulting object [take pi = 22/7 ]
Answer:
15092cm^3
Step-by-step explanation:
The total thickness of the strip of metal sheet would be 2*10=20cm
the new radius of the cylinder would be 9/2+20=24.5cm
Volume of a cylinder: ((pi)r^2)h
the height is 8cm
Volume : (22/7)*24.5^2*8
=15092cm^3
please help will mark brainliest
One number to the right of the decimal will mean there are two numbers to the left of the decimal.
When rounding to 50 as the nearest ten the number needs to be between 45 and 54.
Using the 3 numbers shown that would be 48.3
The axis of symmetry for a quadratic equation can be found using the formula x =-b/2a , where a and b are coefficients in the quadratic equation and x represents the values along a vertical line on the coordinate plane. When the equation is solved for a, such that b is the numerator of the resulting fraction, what is the denominator of the fraction?
Answer:
2x
Step-by-step explanation:
Solve the equation for a as follows:
First multiply both sides by 2a:
[tex](2a)x=-b[/tex] and then divide both sides by 2x:
[tex]a=-\frac{b}{2x}[/tex]
The denominator will be equal to 2x.
What is coordinate geometry?A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
Given that:-
The axis of symmetry for a quadratic equation can be found using the formula x =-b/2a, where a and b are coefficients in the quadratic equation and x represents the values along a vertical line on the coordinate plane. When the equation is solved for a such that b is the numerator of the resulting fraction,The value of the denominator will be:-
x = -b/2a
From the given information the expression will be written as
a = -b / 2x
Therefore the denominator will be equal to 2x.
To know more about Coordinate geometry follow
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Does the graph of any relation have end behaviors that can be described the same way as the end behaviors of a polynomial relation?
Answer:
No
Step-by-step explanation:
Not all relations have either an infinite domain or an infinite range. Some have no "end behavior". A sine function, for example, continues to oscillate between -1 and +1 forever.
The graphs of some relations are simply a collection of points, so the "end behavior" would be the points at either extreme of the domain.
regents.org/algebraone/119/algone 12019-mrsw.pdf
.
....
Question 31
31 Santina is considering a vacation and has obtained high-temperature data from the last two weeks
for Miami and Los Angeles.
Miami
76 75 83 73606676
81 83 85 83 87 8080
74
Los Angeles
Los Angeles
63
62
65
72
67 | 65 | 6565
69 64 64 61
3639
62
Which location has the least variability in temperatures? Explain how you arrived at your answer.
Answer:
Los Angeles
Step-by-step explanation:
Los Angeles has the least variability in temperatures.
To determine which location has the least variability in temperatures, we need to calculate the range or variance of the temperatures for both Miami and Los Angeles.
For Miami:
Temperatures: 76 75 83 73606676 81 83 85 83 87 8080 74
To calculate the range, we subtract the minimum temperature from the maximum temperature:
Range = Maximum temperature - Minimum temperature
Range = 87 - 73
Range = 14
For Los Angeles:
Temperatures: 63 62 65 72 67 | 65 | 6565 69 64 64 61 3639 62
Again, to calculate the range, we subtract the minimum temperature from the maximum temperature:
Range = Maximum temperature - Minimum temperature
Range = 72 - 61
Range = 11
Comparing the ranges, we see that Miami has a range of 14, while Los Angeles has a range of 11. Therefore, Los Angeles has the least variability in temperatures.
Learn more about Range of data here:
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Which transformation from the graph of a function f(x) describes the graph of f(x)-1?
Answer:
Step-by-step explanation:
Any side to side movement of a function will be reflected inside a set of parenthesis with the x. For example, if the function was a parabola, the parent graph could be, very simply,
[tex]y=x^2[/tex]
Side to side movement would make the equation look like this:
[tex]y=(x-h)^2[/tex]
where h is the x coordinate of the vertex.
Up or down movment would make the equation look like this:
[tex]y=x^2+k[/tex] for movement upwards, or
[tex]y=x^2-k[/tex] for movement downwards. The k represents the y coordiante of the vertex in this parabola.
Because our function has NO numbers inside the parenthesis with the f(x), but it has a -1 after, we are moving the parent graph of this function, whatever it is, down one from its starting position.
The transformation from the graph of a function f(x) describes the graph of f(x) - 1 is a vertical shift down by 1 unit
From the question, we have the following parameters that can be used in our computation:
The function f(x)
Also, we have
The function f(x) - 1
Subtracting a value from a function means that the function is shifted down
In this case, the subtracted value is 1
This means that f(x) - 1 is a vertical shift down by 1 unit from f(x)
Match the following
Answer:
After you swap the top two descriptions on the right, everything matches straight across.
Step-by-step explanation:
1. The circle described is the incircle, circumscribed by the polygon.
2. When the tangent line separates the centers of the circles to which it is tangent, it is called an internal tangent.
3. An external tangent will be parallel to or will intersect the line joining circle centers at a point not between any of those centers.
4. A tangent to a circle is coplanar with the circle and intersects it in exactly one point.
Lilly owes $52,000 in student loans for college. If the loan will be repaid in 5.5 years and the interest rate charged is 6.75%,then how much will she pay altogether?
Answer:
55510
Step-by-step explanation:
A. 11 degrees
B. 22 degrees
C. 25 degrees
D. 41 degrees
Answer:
A
Step-by-step explanation:
please help asap will mark brainliest
The value of the 8, in 2781, is what times the value of the 8, in 948
options
A) 10
B) 1
C) 1/10
Answer:
A) 10
Step-by-step explanation:
The value of 8 in 2781 is in the tens place value.
The value of 8 in 948 is in the ones place value.
Note that the tens place value is x10 greater than the ones place value.
A)10 is your answer, for:
8 x 10 = 80
~
Answer:
A) 10
Step-by-step explanation:
The value of the 8, in 2781, is 10 times the value of the 8, in 948.
What number will be in the blue box
Answer: D) 5832
Step-by-step explanation:
The y values are the x values cubed. Since the x values are increasing by 3, the last x would be 18. 18 cubed is 5832.
Use the Polynomial Identity below to help you create a list of 10 Pythagorean Triples:
([tex]x^{2}[/tex]+[tex]y^{2}[/tex])[tex]^{2}[/tex]=([tex]x^{2}[/tex]-[tex]y^{2}[/tex])[tex]^{2}[/tex]+(2xy)[tex]^{2}[/tex]
Hint #1: c² = a² + b²
Hint #2: pick 2 positive integers x and y, where x > y
Answer:
See explanation
Step-by-step explanation:
You are given the equality
[tex](x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2[/tex]
where x, y are two positive integers with x>y.
1. x=2,y=1, then
[tex]c=x^2+y^2=2^2+1^2=5\\ \\a=x^2-y^2=2^2-1^2=3\\ \\b=2xy=2\cdot 2\cdot 1=4[/tex]
First Pythagorean triple is (3,4,5)
2. x=3,y=1, then
[tex]c=x^2+y^2=3^2+1^2=10\\ \\a=x^2-y^2=3^2-1^2=8\\ \\b=2xy=2\cdot 3\cdot 1=6[/tex]
Second Pythagorean triple is (6,8,10)
3. x=3,y=2, then
[tex]c=x^2+y^2=3^2+2^2=13\\ \\a=x^2-y^2=3^2-2^2=5\\ \\b=2xy=2\cdot 3\cdot 2=12[/tex]
Third Pythagorean triple is (5,12,13)
4. x=4,y=1, then
[tex]c=x^2+y^2=4^2+1^2=17\\ \\a=x^2-y^2=4^2-1^2=15\\ \\b=2xy=2\cdot 4\cdot 1=8[/tex]
Fourth Pythagorean triple is (8,15,17)
5. x=4,y=2, then
[tex]c=x^2+y^2=4^2+2^2=20\\ \\a=x^2-y^2=4^2-2^2=12\\ \\b=2xy=2\cdot 4\cdot 2=16[/tex]
Fifth Pythagorean triple is (12,16,20)
6. x=4,y=3, then
[tex]c=x^2+y^2=4^2+3^2=25\\ \\a=x^2-y^2=4^2-3^2=7\\ \\b=2xy=2\cdot 4\cdot 3=24[/tex]
Sixth Pythagorean triple is (7,24,25)
7. x=5,y=1, then
[tex]c=x^2+y^2=5^2+1^2=26\\ \\a=x^2-y^2=5^2-1^2=24\\ \\b=2xy=2\cdot 5\cdot 1=10[/tex]
Seventh Pythagorean triple is (10,24,26)
8. x=5,y=2, then
[tex]c=x^2+y^2=5^2+2^2=29\\ \\a=x^2-y^2=5^2-2^2=21\\ \\b=2xy=2\cdot 5\cdot 2=20[/tex]
8th Pythagorean triple is (20,21,29)
9. x=5,y=3, then
[tex]c=x^2+y^2=5^2+3^2=34\\ \\a=x^2-y^2=5^2-3^2=16\\ \\b=2xy=2\cdot 5\cdot 3=30[/tex]
9th Pythagorean triple is (16,30,34)
10. x=5,y=4, then
[tex]c=x^2+y^2=5^2+4^2=41\\ \\a=x^2-y^2=5^2-4^2=9\\ \\b=2xy=2\cdot 5\cdot 4=40[/tex]
10th Pythagorean triple is (9,40,41)
Right triangle ABC is shown below.
A similar right triangle would be created by a run of 8 and a rise of
Answer:
20
Step-by-step explanation:
The ratio of rise to run is 5:2, so if the run is 8, the rise is correspondingly 4 times as much:
rise : run = 5 : 2 = 20 : 8
A similar right triangle would be created by a run of 8 and a rise of 20.
Answer:
20
Step-by-step explanation:
Find the sixth term of the sequence 1/2, -3/8, 9/32
A. 243/2048
B. -243/2048
C. 81/1024
D. -81/1024
Answer:
The sixth term is -243/2048 ⇒ answer B
Step-by-step explanation:
* Lets explain the geometric sequence
- There is a constant ratio between each two consecutive numbers
- Ex:
# 5 , 10 , 20 , 40 , 80 , ………………………. (×2)
# 5000 , 1000 , 200 , 40 , …………………………(÷5)
* General term (nth term) of a Geometric sequence:
# U1 = a , U2 = ar , U3 = ar² , U4 = ar³ , U5 = ar^4
# Un = ar^(n-1), where a is the first term , r is the constant ratio
between each two consecutive terms and n is the position of the
number in the sequence
- Ex: U5 = ar^4 , U7 = ar^6 , U10 = ar^9 , U12 = ar^11
- Lets solve the problem
∵ The sequence is 1/2 , -3/8 , 9/32
- Lets find the constant ratio r
∵ The first term is a = 1/2
∵ The second term is U2 = ar
∵ The second term U2 = -3/8
∴ ar = -3/8
∴ 1/2 r = -3/8 ⇒ multiply both sides by 2
∴ r = -3/4
- Lets find the sixth term
∵ a = 1/2 and r = -3/4
∵ n = 6
∴ U6 = ar^5
∴ U6 = 1/2 (-3/4)^5 = 1/2 × -243/1024 = -243/2048
* The sixth term is -243/2048
Answer:
B edge
Step-by-step explanation:
Determine the truth value of the given conditional statement. Given: If 3 is an even number, then 5 + 3 = 8.
Answer:
False
Step-by-step explanation:
False, because 3 can not be an even number; it's an odd number. So the condition cannot be satisfied.
I need help with the 6.G Standards
23.
If we take the triangle on the right and put it on the left we have a rectangle, 15 by 11, so area 165.
Answer: 165
24.
Perimeter: 11 + 14 + 11 + 14 = 50
Area: 9 by 14 = 126
Long Side of rectangle: 3x+3
Short side: 2x
The perimeter of the rectangle is 146 units. What is the length of the longer side?
The answer is:
The length of the longer side of the rectangle is equal to 45 units.
Why?To solve the problem, we need to use the formula to calculate the perimeter of a rectangle, then, isolate the variable and finally, calculate the length of the longer side.
We can calculate the perimeter of a rectangle using the following equation:
[tex]Perimeter=2Length+2Width\\[/tex]
Let be the length the longer side and the width the short side of the rectangle.
Then, substituting the given information and calculating we have:
[tex]146=2*(3x+3)+2*2x\\146=6x+6+4x\\146-6=10x\\140=10x\\\\x=\frac{140}{10}=14[/tex]
Now, calculating the long side of the rectangle, we have:
[tex]LongSide=3*14+3=45units[/tex]
Hence, we have that the length of the longer side of the rectangle is equal to 45 units.
Have a nice day!
Given graph for function f(x) given above, find the f(-2). f(-2) =
Answer:
f(-2) = 3
Step-by-step explanation:
The graph goes through the point (-2, 3), indicating the value of f(x) is 3 when x=-2.
During the spring and summer, a concession stand at a community Little League baseball game field sells soft drinks and other refreshments. To prepare for the season, the concession owner refers to the previous year's files, in which he had recorded the daily soft drinks sales (in gallons) and the average daily temperature (in degrees Fahrenheit). Using the coordinates of the two points (84,80) and (74,65), determine the slope of the line of best fit.
Answer:
1.5
Step-by-step explanation:
The slope is given by ...
(change in dependent variable)/(change in independent variable)
= (65 -80)/(74-84) = -15/-10 = 1.5
The slope of the line of best fit is 1.5.
Answer:
The slope of the line of best fit is 1.5 degrees Fahrenheit per gallon.
Step-by-step explanation:
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of the line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The given two points are (84,80) and (74,65).
The slope of the line of best fit is
[tex]m=\frac{65-80}{74-84}[/tex]
[tex]m=\frac{-15}{-10}[/tex]
[tex]m=1.5[/tex]
Therefore the slope of the line of best fit is 1.5 degrees Fahrenheit per gallon.
In the diagram, points E, A, and B are collinear and the areas of square ABCD and right triangle EAD are equal. What are the coordinates of A?
A. (-7.5, 3)
B. (-8, 4)
C. (-9, 6)
D. (-8.5, 5)
E. (-6, 5)
Answer:
(B) -8,4
Step-by-step explanation:
Answer:
(-8,4)
Step-by-step explanation:
Given in the picture is a right triangle and a square sharing one commonside
Area of triangle = area of square
ie [tex]1/2 bs = s^2[/tex] (is s is one side of square)
i.e. b = 2s where b = EA
In other words A divides line EB in the ratio 2:1
Using section formula
Coordinates of A=
[tex](\frac{2(-7)+1(-10)}{3} ,\frac{2(2)+1(-8)}{3})\\=(-8, 4)[/tex]
what is the exact solution of 2e^x=14?
[tex]2e^x=14\\e^x=7\\x=\ln 7[/tex]
If (A, B) is the solution to the system of equations shown above, and A and B are integers, then what is the value of A+B?
A) -12
B) -6
C) 0
D) 6
Answer:
A) -12
Step-by-step explanation:
The point of intersection on the graph is (-6, -6). That is the solution to the system of equations. The sum of the solution values is ...
(-6) +(-6) = -12
Answer:
A
Step-by-step explanation:
The solution to the system of equations is at the point of intersection of the 2 lines, that is
(- 6, - 6) ⇒ A = B = - 6, thus
A + B = - 6 + (- 6) = - 6 - 6 = - 12 → A
Two rectangals are similar. The ratio of their coresponding sides is 1:4what is the ratio of thier preimeters
Step-by-step answer:
Between similar figures, if the ratio between the sides is k, then
- ratio between linear measurements, such as diagonals, perimeter, width, heights, etc, are also linear.
Therefore, if the ratio of the corresponding sides is 1:4, the ratio of their perimeters is also 1:4.
Note:
the ratio of area measurements, or surface areas of similar solids, are proportional to k^2.
Similarly, the ratio of volumes of similar solids are proportional to k^3.
Miguel's employer pays $1,825 in health insurance and $93 in life insurance per year. He also gets $2,860 in paid time off per year. His monthly gross pay is $3,890. What are Migual's total job benefits per year? a. $51,458 b. $46,680 c. $8,668 d. $4,778
Answer:
a. $51,458
Step-by-step explanation:
Answer:
the correct answer is option A
Step-by-step explanation:
given,
Health insurance payment = $1,825
Life insurance per year = $ 93
paid off per year = $2,860
monthly gross pay is = $3,890
Miguel's get paid yearly =health insurance + life insurance + paid time off
= 1825 + 93 + 2860
= $ 4778
his monthly gross pay = $ 3,890
his yearly gross pay = $ 3,890 ×12
= $ 46,680
hence total job benefit = $ 46,680 + $ 4778
= $51,458
so , the correct answer is option A
Jacob is practicing javelin throws. He throws the javelin from a height of 6 feet. The height of the javelin, h(x), in relation to the horizontal distance that it covers, x, can be modeled by a quadratic function.
Each of the following functions is a different form of the quadratic model for this situation. Which form is most helpful in determining the horizontal distance the javelin covers?
A. h(x)= -0.01(x-150)(x+4)
B. h(x)= -0.01(x-73)^2+ 59.29
C. h(x)= -0.01x(x-146)+6
D. h(x)= -0.01x^2+1.46x+6
Answer: Option A
[tex]h(x) = -0.01 (x-150) (x + 4)[/tex]
Step-by-step explanation:
The javelin will have reached its maximum horizontal distance when it touches the ground.
Then the maximum horizontal distance occurs when the height h (x) is equal to zero.
So we must equal h(x) to zero and solve the equation for x.
Therefore the form that is most useful to determine the horizontal distance that the javelin covers is the one that is factored. Because it allows us to find the zeros of the quadratic function more easily
[tex]h(x) = -0.01 (x-150) (x + 4) = 0[/tex]
[tex]-0.01 (x-150) (x + 4) = 0[/tex]
The equation is equal to zero when [tex]x = 150[/tex] or when [tex]x = -4[/tex]
Therefore the solution is [tex]x = 150[/tex].
The horizontal distance that covers the javelin is 150 feet
Answer:
The answer is A
Step-by-step explanation:
I am 100% sure cuz I just did the test:)
Write an even square number smaller than 100.
Answer:
I believe you mean what square number that is less than 100 has the most factors.
The square numbers under 100 are 1, 4, 9, 16, 25, 36, 49, 64, and 81.
1 obviously only factors to 1*1.
4, 9, 25, and 49 are square of prime numbers. If we call the original number n and the root p (for prime) each of them can only be factored as 1*n or p*p. example: 1*4, 2*2 .We can eliminate those.
16 and 81 are not only squares, but the fourth power of a prime (2 and 3) respectively. They can be factored as 1*n, (p^3)*p, or (p^2*p^2). Example: 1*16, 8*2, or 4*4.
But 36 is 2*2*3*3 as it’s prime factoring. This allows us to find more combinations of factors: 1*36, 2*18, 4*9, 12*3, or 6*6.
Final answer:
The largest even square number smaller than 100 is 64, which is the square of 8.
Explanation:
To find an even square number smaller than 100, we can look at the squares of the even numbers less than 10, since 10² (which is 10 times 10) equals 100. Squaring each even number from 2 to 8, we get the following even square numbers: 2²=4, 4²=16, 6²=36, and 8²=64. Among these, 64 is the largest even square number that is less than 100.
The sum of two consecutive integers is – 7. Find the numbers
[tex]n,n+1[/tex] - two consecutive integers
[tex]n+n+1=-7\\2n=-8\\n=-4\\n+1=-3[/tex]
-4 and -3
A bag contains 10 marbles: 4are green, 2are red, and 4 are blue. Carmen chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles she chooses are blue?
Answer:
2/15
Step-by-step explanation:
There is a 4/10 probability that she chooses blue the first time, but the second time it is a 3/9 chance because she didn't put the marble back so there are 9 marbles in total, 3 blue ones.
4/10 x 3/9 = 2/5 x 1/3 = 2/15
I hope this helps :)
Edit: Messed up the multiplication, whoops!
[tex]|\Omega|=10\cdot9=90\\|A|=4\cdot3=12\\\\P(A)=\dfrac{12}{90}=\dfrac{2}{15}[/tex]
At 73°F a certain insect chirps at a rate of 97 times per minute, and at 80°F, they chirp 132 times per
minute. Write an equation in slope-intercept form that represents the situation.
Answer:
The equation is: y = 5x - 268
Explanation:
We are given that:
At 73°F, the chirp is 97 times per minute .........> first point is (73, 97)
At 80°F, the chirp is 132 times per minute .......> second point is (80, 132)
The general equation of the linear line is:
y = mx + c
where m is the slope and c is the y-intercept
1- getting the slope:
The slope can be calculated using the following rule:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substitute with the given points to get the slope as follows:
[tex]m = \frac{132 - 97}{80 - 73} = 5[/tex]
The equation, now, became:
y = 5x + c
2- getting the y-intercept:
To get the y-intercept, use any of the given points and substitute in the rule we got in part 1. I will use the point (80, 132)
Therefore:
y = 5x + c
132 = 5(80) + c
c = 132 - 5(80) = -268
The equation, therefore, is:
y = 5x - 268
Hope this helps :)
I don’t really know what to put /what it means so please tell me what to put. (And what it means if u can) it’s for my geometry class 9th grade.
The first attachment is one way that quadrilaterals can be classified. If you've never studied a diagram like this before, it would certainly be mysterious.
There is a little more to it in that a "kite" is not the only kind of quadrilateral with no parallel sides.
Your diagram apparently doesn't recognize the special sorts of trapezoids you might have other than isosceles.
___
The classifications on the first diagram are numbered. The numbers on the second diagram are the way I'd match up the descriptions to the bubbles in your diagram.