Answer:
y = -338
Step-by-step explanation:
[tex]-26 = \dfrac{y}{13}[/tex]
Multiply by 13 on both sides.
[tex]-26 \cdot 13 = y[/tex]
[tex]-338 = y[/tex]
y = -338
Answer:
-338
Step-by-step explanation:
-26=y/13
cross multiplying
y=-26×13
y=-338
A+(-7)=-17 I don’t know
Answer:
a = -10
So your answer is a = -10, I hope this helps!
Step-by-step explanation:
a + (-7) is the same as a - 7, so you could rewrite it as
a - 7 = -17
+ 7
a bakery worker uses 175 cups of sugar to make 100 cinnamon rolls. at this rate, how many cups of sugar would be needed to make 1 cinnamon roll?
use the given information about the polynomial graph to write the equation
Degree 5. Roots of multiplicity 2 at x = −3 and x = 2 and a root of multiplicity 1 at x = −2. y-intercept at (x, y) = (0,62).
For the given roots and point, the polynomial is:
p(x) = (62/72)*(x + 3)²*(x - 2)²*(x + 2)
How to write the polynomial?We know that a polynomial with leading coefficient a and the roots:
x₁, x₂, ..., xₙ
Can be written as:
p(x) = a*(x - x₁)*...*(x - xₙ)
Here we have the roots:
-3, -3, 2, 2, -2
Then we can write:
p(x) = a*(x + 3)*(x + 3)*(x - 2)*(x - 2)*(x + 2)
p(x) = a*(x + 3)²*(x - 2)²*(x + 2)
Now we also know that our polynomial passes through (0, 62), then:
p(0) = 62 = a*(0 + 3)²*( 0 -2)²*(0 + 2)
62 = a*9*4*2
62/(9*4*2) = a
62/72
then the polynomial is:
p(x) = (62/72)*(x + 3)²*(x - 2)²*(x + 2)
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Using the same pictorial sequence from Growing Dots 1 and Growing Dots 2, but a different beginning point, describe the pattern you see. Assuming the sequence continues in the same way, how many dots are there at 100minutes? Create a table and graph. Write an equation for the number of
dots at tminutes.
In total there will be 397 dots after 100 minutes.
What do you mean by airthmetic sequences?
Arithmetic sequences are sequences of the form:
a, a+d, a+2d, a+3d, a+4d, …
a is the first term and d is the common difference
series. The n terms of the arithmetic progression are given by
[tex]a_{n}[/tex] = a + (n - 1)d
The number d is called the common difference
Arithmetic progressions differ by d and any terms [tex]a_{n}[/tex] and [tex]a_{n-1}[/tex]
d = [tex]a_{n}-a_{n-1}[/tex] -
According to the given pattern, in the first figure, number of dots is 1 , in the second figure, number of dots become 5 , similarly in the next the count is 9 and 14
So, the sequence become
1,5,9,14......
here first term , a = 1
common difference , d = 5-1 = 4
We need to find the number of dots after 100 minutes
So, here n = 100
We need to find [tex]a_{100}[/tex]
[tex]a_{100}[/tex] = a + (100 - 1) d = 1 + 99(4) = 1 + 396 = 397
Therefore, in total there will be 397 dots after 100 minutes.
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In which of these cases should the mean be used
5x-3/x-1 what is the inverse of this
Answer:
[tex]f^{-1}(x)=\dfrac{3-x}{5-x}, \quad \{x|x\neq 5\}[/tex]
Step-by-step explanation:
Given function:
[tex]f(x)=\dfrac{5x-3}{x-1}[/tex]
As the given function is a rational function, the domain and range are restricted.
Domain: (-∞, 1) ∪ (1, ∞).Range: (-∞, 5) ∪ (5, ∞).f⁻¹(x) is the notation for the inverse of the function.
The inverse of a function is a reflection in the line y = x.
To find the inverse of the given function, swap f(x) for y:
[tex]\implies y=\dfrac{5x-3}{x-1}[/tex]
Rearrange the equation to isolate x:
[tex]\implies y(x-1)=5x-3[/tex]
[tex]\implies xy-y=5x-3[/tex]
[tex]\implies 3-y=5x-xy[/tex]
[tex]\implies 3-y=x(5-y)[/tex]
[tex]\implies x=\dfrac{3-y}{5-y}[/tex]
Swap the x for f⁻¹(x) and the y for x:
[tex]\implies f^{-1}(x)=\dfrac{3-x}{5-x}[/tex]
The range of the function is the domain of the inverse function.
Therefore, the domain of the inverse function is restricted:
Domain of f⁻¹(x): (-∞, 5) ∪ (5, ∞).8 (x + 2 ) when x = 6
Answer:
64
Step-by-step explanation:
8(x+2) when x=6
replace x with 6
8(6+2)
distribute 8
48+16= 64
At the skateboard park, the hot new attraction is the U-
Dip, a cement structure embedded into the ground.
The cross-sectional view of the U-Dip is a parabola that
dips 15 feet below the ground. The width at ground
level, its widest part, is 40 feet across. Sketch the
cross-sectional view of the U-Dip, and find an equation
of the parabola that models it.
The equation of the parabola exists y = 3/80(x - 20)² - 15
What is the standard equation of a parabola?In the coordinate plane, a parabola exists algebraically represented using the standard equation. A parabola's general equation exists written as,
y = a(x - h)² + k
where (h, k) signifies the vertex.
y² = 4ax is the typical equation for a normal parabola.
substitute the values in the above equation, we get
y = a(x - 20)² - 15
simplifying the above equation, we get
0 = a(0 - 20)² - 15
0 = 400a - 15
a = 15/400
a = 3 / 80
Therefore, the equation of the parabola exists y = 3/80(x - 20)² - 15.
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If Tomas divides his stack of programs between himself and his 3 friends, what fraction of the original stack will each of his friends have? can someone help me.
As per the given information, Tomas divides one program among four people then each person will get fraction of ( 1/ 4) of the original stack if divided equally .
As given in the question,
Number of stacks of program to be divided = 1
Number of friends = 3
Number of people among whom stack of program is to be divided = 4
Let us consider stack of program divided equally
Fraction of stack of program each friend will get = 1 /4
As
( 1 / 4 ) + ( 1 / 4 ) + ( 1 / 4 ) + ( 1 / 4 )
= ( 1+ 1+ 1+ 1) / 4
= 4/4
= 1
Therefore, for the given information, Tomas divides one program among four people then each person will get fraction of ( 1/ 4) of the original stack if divided equally .
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11C8 x 4C3
related to permutations. Please explain in depth because I want to understand.
₁₁C₈ * ₄C₃ as related to permutations is ₁₁P₈ / 8! * ₄P₃ / 3!
Further explanation of combination and permutationThe term combination refers to a method of choosing where order does not matter. an instance forming 3 letter word from ABC. the combination is ₃C₃ = 1
In permutation, order matters hence in choosing or making selection specific order should be followed. an instance here is arranging the 3 letters word from ABC. ₃P₃ = 6
ABCACBBACCABBCACBAAll the items above are different permutations however for combination they are same.
The difference mathematically is dividing by the number of arrangements
₃C₃ = 3! / (3!(3-3)!) = 3! / (3!* 0!) = 3! / 3! = 1
₃P₃ = 3! / (3-3)! = 3! / (0!) = 3! / 1 = 3! = 6
Therefore ₃C₃ = ₃P₃ / 3!
similarly
₁₁C₈ * ₄C₃ = ₁₁P₈ / 8! * ₄P₃ / 3!
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Find the value of .x.
(5r-24)
(8x + 9)-
Answer:
x = 15
Step-by-step explanation:
since the sides are bisected, the inner line is parallel to the largest side.
8x+9 + 5x-24 = 180
(b) Kala runs 6 miles in 44 minutes.
How many miles does she run per minute?
miles per minute
Answer:
0.1364 miles per minute
Step-by-step explanation:
time = pace × distance
time = pace time per unit distance × distance
distance = time / pace
distance = time / pace time per unit distance
pace = time / distance
pace time per unit distance = time / distance
speed = distance / time
speed distance per unit time = distance / time
brainliest points whatever you want please
Annual rate of return earned when the share was sold at $50 per share is 20%
Annual rate of return earned when the share was sold at $60 per share is 40%
How to calculate annual rate of returnAnnual rate of return is given by the formula
let end of the year price = eyp
let beginning of the year price = byp
= {(eyp - byp) / byp} * 100
Annual rate of return at share price of $50 per share
when there is paying of dividends the value is added to the the eyp
eyp = 50 * 100 + 2 * 100 * 5 = 6000
byp = 50 * 100 = 5000
= {(6000 - 5000) / 5000} * 100
= 20%
Annual rate of return at share price of $60 per share
eyp = 60 * 100 + 2 * 100 * 5 = 7000
byp = 50 * 100 = 5000
= {(7000 - 5000) / 5000} * 100
= 40%
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The regression equation for 2 variables is y = -2.6 x + 10 If the value of R2 is 0.810, what is the value of R?
If the value of R² in the regression equation is 0.810, the value of R is 0.9
How to determine the value of r?From the question, we have the following parameters that can be used in our computation:
Regression equation: y = -2.6x + 10
Value of R2 = 0.810
Rewrite the above parameters properly
So, we have the following representation
y = -2.6x + 10
R² = 0.810
The variable r² represents the coefficient of determination
Recall that
R² = 0.810
This gives
r² = 0.810
Take the square roots of both sides
r = 0.9
Hence, the value of r is 0.9
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Use a table of areas to obtain the shaded area under the standard normal curve.
The shaded area under the standard normal curve is 2.58%.
According to z-score table,
Area for < 2.23 = 0.9871
Area for >2.23 = 1 - 0.9871
= 0.0129
Area for < 2.23 = 0.0129
Total area = 0.0129 + 0.0129
= 0.0258
Area percent = 0.0258*100
= 2.58%
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help with this pls! Lol
Answer:
3y+3y-12
Step-by-step explanation:
we can add the coefficients of y to make 6y-12
And that is equivalent
Hopes this helps please mark brainliest
5. Solve the inequality. Graph the solution.
T-9 <-6
Answer:
b
Step-by-step explanation:
because you solve it and you get B
Solve the equations for X. Check
If possible.
a)
3x + 5 = 4x+8-X
b) 3x + 2-(X+3)= X+3-(-3x-4)
Answer:
-4
Step-by-step explanation:
When answering questions like these first, combine like terms you get 3x+5 =3x+8, Subtract 5 from both of the sides you get 3x=3x+3 remove 3x from both sides and you got 0=3 this is a contradicting statement meaning no solution ∅
B) Distribute first, 3x + 2 -x = x + 3 + 3x +4
2, Combine the like terms 2x - 1 = 7 + 4x
3, Isolate variable and constants 2x = 8 + 4x
3(1) Cont- Isolation -2x = 8
Thus divide both side by -2 giving us -4
y varies inversely with the square x. If y =
-4 when x =
-2, find y when x= 7.
The value of y is - 0.326 when x = 7.
What are ratio and proportion?A ratio is a divisional comparison of two quantities, and a proportion is the equality of two ratios. A ratio is typically expressed as x: y or x/y, although it may alternatively be read as x is to y.
Comparatively speaking, a proportional equation states that two ratios are comparable. A ratio is expressed as x: y: : z: w and is understood to mean that x is to y as z is to w. Here, w and y are not equal to 0, therefore x/y Equals z/w.
A connection between two quantities is said to be in inverse proportion if one quantity rises while the other falls, and vice versa. As a result, an inverse ratio is expressed as y ∝ 1/x.
The general equation of proportion is given by
y = k/x²
-4 = k/(-2)²
k = -4(4)=-16
y = -16/x²
When x=7, then
y= -16/49
y= - 0.326
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If angle 1 is 7 degrees in the parallelogram pictured above, what is angle 2
Answer:
m∠2 = 173°Step-by-step explanation:
1 and 2 are supplementary angles and hence sum to 180°.
m∠1 + m∠2 = 180°7° + m∠2 = 180° m∠2 = 180° - 7° m∠2 = 173°The mean systolic blood pressure of people in the U.S. is
124
124 with a standard deviation of
18
18. Assume that systolic blood pressure follows a normal distribution. Round your answers to one decimal. Use the 68-95-99.7 Rule to answer the following questions.
a) What percentage of the people in the U.S. have systolic blood pressure between
106
106 and
124
124?
%
%
Preview
b) What percentage of the people in the U.S. have systolic blood pressure between
88
88 and
160
160?
%
%
Preview
c) What percentage of the people in the U.S. have systolic blood pressure between
70
70 and
124
124?
%
%
Preview
d) What percentage of the people in the U.S. have systolic blood pressure above
160
160?
%
%
The percentages, using the Empirical Rule, are given as follows:
a) Between 106 and 124: 32%.
b) Between 88 and 160: 95%.
c) Between 70 and 124: 49.85%.
d) Above 160: 2.5%.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.The mean and the standard deviation in this problem are given as follows:
Mean of 124.Standard deviation of 18.Considering the symmetry of the normal distribution, to facilitate the calculations, we have that:
49.85% of the measures are between 70 and 124.47.5% of the measures are between 88 and 124.32% of the measures are between 106 and 124.32% of the measures are between 106 and 142.47.5% of the measures are between 124 and 160.49.85% of the measures are between 124 and 178.160 is two standard deviations above the mean, hence the percentage above it is of:
2.5%.
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16/5 x 25/8 multiply each of the following fractions
Consider the equation and the following ordered pairs: (4,y) and (x,2).
y=−2x+4
Step 1 of 2 : Compute the missing x and y values so that each ordered pair will satisfy the given equation.
Answer
Keyboard Shortcuts
Complete the table below.
x y
row 14 Answer
row 2 Answer
2
The missing x and y values in the ordered pair of the equation are:
x = 1
y = -4
How to Find the Ordered Pairs of an Equation?Given the ordered pair (x, y) of an equation, y = mx + b, we can find their values by plugging in the given value of either of the x or y coordinates to find the other coordinate value.
The ordered pairs of y = -2x + 4 are given as:
(4, y) and (x, 2)
To find the value of y, substitute x = 4 into the equation y = -2x + 4:
y = -2(4) + 4
y = -8 + 4
y = -4
The value of y is -4.
To find the value of x, substitute y = 2 into the equation y = -2x + 4:
2 = -2x + 4
2 - 4 = -2x
-2 = -2x
-2/-2 = x
1 = x
x = 1
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The Roxbury CC Tigers basketball team scored 12 points in the first 6 minutes of a game. If they continue at the same pace, how much will they score during the entire 40 minute game?
84 i think?
im not sure if i did my math properly
Answer:
80
Step-by-step explanation:
40 ÷ 6 = 6.66666667 x 12 = 80
Which graph could be used to find the distance between the points (-3,-13) and (11, 9)?
The distance between the two point of the line segment is 26.07
Distance Between Two PointsDistance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.
Distance between two points is the length of the line segment that connects the two given points. Distance between two points in coordinate geometry can be calculated by finding the length of the line segment joining the given coordinates
d = √((x₂ – x₁)² + (y₂ – y₁)²
Substituting the values into the equation;
d = 2√170 = 26.07.
Kindly find the attached graph of the two points.
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BD = 5, CX = 3, CD = 5
what is BC
Answer:
need more information to answer
On what intervals is the function increasing?
Indicate intervals on the x-axis using the Ray tool for intervals that extend to infinity and the Segment tool for bounded intervals.
Graph a ray by selecting the endpoint followed by a point on the ray. Graph a segment by selecting an endpoint followed by the other endpoint.
Answer:
[-7, - 2] and [3, 7]--------------------------------------
The graph has two local maximums and two local minimums.
The intervals between those points are the increasing intervals.
Refer to the attached, where the intervals are marked.
The intervals are
x = [-7, - 2] and [3, 7]A picosecond is one trillionth of a second. If one trillionth = 1 × 10 − 12, how many picoseconds are there in 6 minutes?
The picoseconds that are there in 6 minutes is 3.6 × 10^14.
What is an exponent?An exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number.
In this case, picosecond is one trillionth of a second. If one trillionth = 1 × 10^12
The seconds in 6 minutes will be:
= 60 × 6
= 360 seconds
= 3.6 × 10^2
The picoseconds in 6 minutes will be:
= 1 × 10^12 × 3.6 × 10^2
= 3.6 × 10^14
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Alan has 229 songs on a playlist. He's categorized them in the following manner: 11 rock, 21 Latin American, 46 gospel, 30 country, 39 rap, 25 classical, and 57 pop. If Alan begins listening to his playlist on shuffle, what is the probability that the first song played is a rock song?
The probability of the event that the first song played by Alan is a rock song is 0.01.
What is probabilityThe probability of an event occurring is the ratio of the number of required outcome divided by the total number of possible outcomes. But the probability of an event say event "a" not occurring is 1 - a.
We shall calculate for the probability of the event that Alan's first song to be played is a rock song as follows:
probability of playing a rock song = 11/229
probability of not playing a Latin American song = 208/229
probability of not playing a gospel song = 183/229
probability of not playing a country song = 199/229
probability of not playing a rap song = 190/229
probability of not playing a classical song = 204/229
probability of not playing a pop song = 172/229
So,
The probability that the first song played is a rock song = (11/229) × (208/229) × (183/229) × (199/229) × (190/229) × (204/229) × (172/229)
The probability that the first song played is a rock song = 0.05 × 0.91 × 0.80 × 0.67 × 0.83 × 0.89 × 0.75
The probability that the first song played is a rock song = 0.01
Therefore the probability of the event that Alan's first song played is calculated to be 0.01 approximated to 2 decimal places.
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differentiate y=in(3-4cosx)
For given equation y = ln(3 - 4 cos(x)),
dy/dx = 4sin(x) / (3 - 4 cos(x))
In this question, we have been given an equation y = ln(3 - 4 cos(x))
We need to differentiate y = ln(3-4cosx)
dy/dx
= d/dx(ln(3 - 4 cos(x)))
= 1/(3 - 4 cos(x)) * d/dx(3 - 4cos(x)) .......(by Chain rule)
= 1/(3 - 4 cos(x)) * [4 sin(x)]
= 4sin(x) / (3 - 4cos(x))
Therefore, for given equation y = ln(3 - 4 cos(x)),
dy/dx = 4sin(x) / (3 - 4 cos(x))
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