Rearranging the question,
SOLVE FOR Y IN TERMS OF X:
x - 2y = 4
Move 2y to the other side
x=2y+4
Move 4 to the other side and flip the equation
2y=x-4
Divide both sides by two:
y=1/2x-2-Hunter
Answer:
y = 1/2x - 2
(You need to rearrange x-2y=4)
To win a medal in a 5K race, a runner's time
must be less than 22 minutes. Write an
inequality to represent the times in minutes
m that would win a medal.
Answer:
m<20
Step-by-step explanation:
m must be less than 20
m < 20
or
20 > m
Un aventurero realiza 2/5 de un viaje en todo terreno,1/3 a caballo y el resto andando. Si la caminata ha sido de 80 km, ¿cuál es la longitud total de su recorrido?
Answer:
Todo terreno+ caballo+caminado=distancia ; (2/5)d+(1/3)d+80=d
Step-by-step explanation:
HELP LIKE RN !!! I’m on a time limit!
In Plessy v. Ferguson (1896), the U.S. Supreme Court
O ruled that African Americans are not persons for the purposes of the Constitution.
O agreed that separation of races is not a violation of the Constitution.
O that the practice of slavery must cease before the end of the century.
O tried to stop the development of legal racial segregation known as Jim Crow laws.
Answer:
In its Plessy v. Ferguson decision (1896), the U.S. Supreme Court ruled that “separate but equal” facilities for African Americans did not violate the Fourteenth Amendment, ignoring evidence that the facilities for Black people were inferior to those intended for whites.
Step-by-step explanation:
hope that helps love
Pierre is waiting to be seated at a popular restaurant where the waiting time is a random variable with an exponential PDF, and the mean waiting time is 75 minutes. Pierre has already been waiting for 40 minutes. What is the probability that Pierre will have to wait more than 30 more minutes, given that he has already waited 40 minutes? Compute your answer rounded to 4 decimal places.
The PDF for the wait time (denoted by the random variable X) is
[tex]f_X(x) = \begin{cases}\lambda e^{-\lambda x} & \text{if }x \ge 0 \\ 0 &\text{otherwise}\end{cases}[/tex]
where λ = 1/75. We want to find Pr[X > 70 | X ≥ 40]. Pierre has already been waiting for 40 min, so if he waits another 30 min he will have waited for a total of 70 min.
By definition of conditional probability,
Pr[X > 70 | X ≥ 40] = Pr[X > 70 and X ≥ 40] / Pr[X ≥ 40]
If X > 70, then automatically X ≥ 40 is satisified, so the right side reduces to
Pr[X > 70 | X ≥ 40] = Pr[X > 70] / Pr[X ≥ 40]
Use the PDF or CDF to find the remaining probabilities. For instance, using the PDF,
[tex]\mathrm{Pr}[X > 70] = \displaystyle \int_{-\infty}^{70} f_X(x) \, dx = \int_0^{70} f_X(x) \, dx \approx 0.3932[/tex]
Or, using the CDF,
[tex]F_X(x) = \displaystyle \int_{-\infty}^x f_X(t) \, dt = \begin{cases}0&\text{if }x<0 \\ 1-e^{-\lambda x} & \text{if }x \ge 0\end{cases}[/tex]
[tex]\implies \mathrm{Pr}[X > 70] = 1 - \mathrm{Pr}[X \le 70] = 1 - F_X(70) \approx 0.3932[/tex]
Similarly, you'll find that Pr[X ≥ 40] ≈ 0.5866.
It follows that
Pr[X > 70 | X ≥ 40] ≈ 0.3932 / 0.5866 ≈ 0.6703
simple ! please show work math experts :) thank you and have a wonderful day
Answer:
1) [tex]\dfrac78[/tex]
2) [tex]\dfrac{17}{12} = 1 \frac{5}{12}[/tex]
3) [tex]\dfrac{53}{12}=4 \frac{5}{12}[/tex]
Step-by-step explanation:
1)
[tex]\dfrac38+\dfrac12=\dfrac38+\dfrac{1 \times4}{2 \times 4}=\dfrac38+\dfrac48=\dfrac78[/tex]
2)
[tex]\dfrac23+\dfrac34=\dfrac{2 \times 4}{3 \times 4}+\dfrac{3 \times3}{4 \times3}=\dfrac8{12}+\dfrac{9}{12}=\dfrac{17}{12}=1 \frac{5}{12}[/tex]
3)
First convert mixed number into improper fraction:
[tex]4 \frac23=\dfrac{3\times4+2}{3}=\dfrac{14}{3}[/tex]
[tex]\implies 4 \frac23-\dfrac{3}{12}=\dfrac{14}{3}-\dfrac{3}{12}=\dfrac{14\times4}{3\times4}-\dfrac{3}{12}=\dfrac{56}{12}-\dfrac{3}{12}=\dfrac{53}{12}=4 \frac{5}{12}[/tex]
10. Triangle ABC is formed by two parallel lines and two other intersecting
lines. Find the measure of each angle A, B, and of the triangle.
61°
47
с
47
Answer:
A:61°
B:72°
C:47°
Explanation:
I took the test and it was correct
Enter the correct answer in the box. Write your answer in the form y = mx + b, using the appropriate inequality symbol in place of the equal sign.
Answer:
y > 4x + 1.
Step-by-step explanation:
The other person that listed their answer was also correct.
In order to make an equation as such, we need to find the slope of this line and the y-intercept. The y-intercept is the "+b" in y=mx+b. The slope is mx. So, to identify the slope we need to calculate rise over run on the graph, which is 4. So:
y __ 4x + __.
On the y-intercept, the y crosses and meets at the point (0,1) on the x-intercept exactly, so we don't need to worry about there being any fractions right now. So:
y __ 4x + 1.
Now, because this line has a positive slope, the inequality symbol is "chomping" at the y, like this:
y > 4x + 1.
I hope that this helps.
The answer in the form y = mx + b, using the appropriate inequality symbol in place of the equal sign is y = -2x + 3
The inequality symbol is less than (<). This means that all points below the line y = -2x + 3 satisfy the inequality.
To understand why this is the case, let's consider a few points on the line y = -2x + 3. For example, the point (0, 3) is on the line. If we plug these coordinates into the inequality, we get:
y = -2x + 3
3 = -2(0) + 3
3 = 3
This is a true statement, so we know that the point (0, 3) satisfies the inequality.
Now, let's consider a point that is below the line y = -2x + 3. For example, the point (1, 1) is below the line. If we plug these coordinates into the inequality, we get:
y = -2x + 3
1 = -2(1) + 3
1 = 1
This is also a true statement, so we know that the point (1, 1) satisfies the inequality.
Therefore, we can conclude that all points below the line y = -2x + 3 satisfy the inequality y < -2x + 3.
Here is a graph of the inequality y < -2x + 3.
As you can see from the graph, all points below the line y = -2x + 3 satisfy the inequality y < -2x + 3.
To learn more about inequality here:
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#SPJ2
The pair of values below is from an inverse variation. Find the missing value.
(4,17). (8,y)
Answer:
8.5
Step-by-step explanation:
For inverse variation of (x, y), x*y = constant
so 4*17 = 8*y
y = 4*17/8 = 17/2 = 8.5
In the formula, X+a = (X+b)/c, make X the subject
Answer:
[tex]\red{ \boxed{ X= \frac{b - ac}{c - 1} }}[/tex]
Step-by-step explanation:
[tex]X+a = \frac{X+b}{c} \\ \\ \implies \: c(X+a) = X+b\\ \\ \implies \: cX+ac= X+b \\ \\ \implies \: cX - X = b - ac \\ \\ \implies \: X(c - 1) = b - ac \\ \\ \implies \: \huge \purple{ \boxed{ X= \frac{b - ac}{c - 1} }}[/tex]
Determine whether the given point is on the line. Explain your reasoning. (3. - 1); y = 4x + 5 +
There is exactly
1 pair of parallel sides in the following shape.
What is the area of the shape?
The given properties of one pair of parallel sides in the four sided
quadrilateral, indicates that the shape is a trapezium.
Response:
The area of the shape is 35 square unit How can the area of the given quadrilateral be calculated?Given that the side with length 6 is parallel to the side with length 8, we
and that the figure is four sided, we have;
The given figure is a trapezium;
[tex]Area \ of \ a \ trapezium = \mathbf{ \dfrac{a + b }{2} \times h}[/tex]Where;
a and b = The lengths of the parallel sides
h = The height of the figure = 5
Which gives;
[tex]Area = \dfrac{6 + 8 }{2} \times 5 = \mathbf{35}[/tex]
The area of the shape = 35 square unitLearn more about trapeziums here:
https://brainly.com/question/96136
Answer:35 sq units
Step-by-step explanation:
Graph the equation y=1/2x
Answer/Step-by-step explanation:
The graph of the equation y = 1/2x on the coordinate plane is plotted below
The given equation is:
y = 1/2x
The equation is of the form:
y = mx + c
where m represents the slope
and c represents the y-intercept
Comparing the equation y = 1/2x with y = mx + c
The slope, m = 1/2
The y-intercept, c = 0
The line graph with slope, m = 1/2, and y-intercept, c = 0 is plotted below
[RevyBreeze]
2. The area of a rectangle is 540 square cm. If length of the rectangle is 36cm,then the breadth is -- *
Answer:
15 cm
Step-by-step explanation:
540cm squared= 36 · b
540 ÷36= b
b= 15 cm
Let f be the function given by f(x)=3ln(2+x2)cosx. What is the average value of f on the closed interval 2≤x≤6?
The average value of f(x) over [2, 6] is given by the definite integral,
[tex]\displaystyle f_{\rm ave[2,6]} = \frac1{6-2} \int_2^6 3\ln(2+x^3)\cos(x) \, dx[/tex]
and is approximately -1.67284.
The approximate average value of the function in the closed interval [2,6] is -1.628.
It is given that the f is the function given by: [tex]\rm f(x) = 3ln(2+x^2)cosx[/tex]
It is required to find the average value of f in the closed interval [2,6]
What is integration?It is defined as the mathematical approach to calculating the smaller parts or components.
We have function f:
[tex]\rm f(x) = 3ln(2+x^2)cosx[/tex]
For the average value in [2,6]
We integrate the function with lower limit 2 and higher limit 6.
[tex]\rm \int_{2}^{6}f(x) =\int_{2}^{6}( 3ln(2+x^2)cosx)\\[/tex]
The average value of the above function:
[tex]\rm =\frac{1}{6-2} \int_{2}^{6}( 3ln(2+x^2)cosx)\\[/tex]
Further solving:
[tex]\rm =\frac{3}{4} \int_{2}^{6}( ln(2+x^2)cosx)\\[/tex]
Further solving and applying limits we get:
[tex]=\frac{3}{4}\times-2.2304[/tex]
= -1.628
Thus, the approximate value of the function in the closed interval [2,6]
is -1.628.
Learn more about the integration here:
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1. A. What is the mean absolute deviation of the following data set? Round to the nearest hundredth if necessary.
p.s. I need the work on how to find it
Divide.
2x4 + 11x3 + 13x2 + 2x - 8 = x +4
Answer:
x=-55
Step-by-step explanation:
(2)(4)+(11)(3)+(13)(2)+2x−8=x+4
Simplify both sides of the equation.
8+33+26+2x+−8=x+4
Combine like terms
(2x)+(8+33+26+−8)=x+4
2x+59=x+4
2x+59=x+4
Subtract from both sides
2x+59−x=x+4−x
x+59=4
Subtract 59 from both sides
x+59−59=4−59
x=−55
Lynn is paid $2.08 for every usable
machine part she makes. During one
week, she made 220 parts, 14 of which
were unusable. What was Lynn's gross
pay for the week?
Answer:
Lynn's gross pay for the week is $29.12
Step-by-step explanation:
Lynn gets paid $2.08 for each usable machine part she makes. Out of the 440 parts she made this week, only 14 parts were usable.
Therefore, use the equation:
$2.08 x 14 = $29.12
What is the slope of the line that passes through the points (-2,9) and (8,34)?
Write your answer in simplest form.
Answer:
2.5
Step-by-step explanation:
y=ax+b
9= -2a+b <=> b= 9+2a
34=8a+b = 8a+9+2a = 10a + 9
a = (34-9)/10 = 2.5
Answer:
m = 2.5Step-by-step explanation:
Use the slope formula:
m = (y₂ - y₁)/(x₂ - x₁)m = (34 - 9)/(8 - (-2)) = 25/10 = 2.5100 points if you can answer this whole page!!! Pls with an explanation
Answer:
you didnt attach the picture or assignment
A solid cube measures 5.3 cm on each side. What is the volume of the cube? Do not round your result
What is the volume and surface area of a rectangular prism that is 11 ft long, 8 ft wide, and 4 ft tall?
Select all the correct answers.
V = 352 f1
V = 152 ft
V - 23 ft
SA = 480 ft
SA = 328 ft
SA = 92 ft
Answer:
The volume of the rectangular prism is 352 ft. The total surface area is 328 ft.
Step-by-step explanation:
Volume:
V = whl
V = 8 x 4 x 11
V = 352 ft
For finding surface area you have to find the lateral surface area: 152 ft, top surface area: 88 ft, and the bottom surface area: 88 ft. Add all that up and you get 328 ft.
Write the ratio of the first measurement to the second measurement Compare in inches. 3 feet to 31 inches. type the ratio as a simplified fraction.
Use the given information to prove the following theorem.
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
We let be any point on line , but different from point .
Let's proof
PQ is the perpendicular bisector Hence
CQ=DQ(Bisected sides)Now apply Pythagorean theorem
[tex]\\ \tt\hookrightarrow PQ^2+QD^2=PD^2[/tex]--(1)
[tex]\\ \tt\hookrightarrow PQ^2+CQ^2=PC^2[/tex]
As QD=CD
[tex]\\ \tt\hookrightarrow PQ^2+QD^2=PC^2[/tex]--(2)
From (1) and (2)
[tex]\\ \tt\hookrightarrow PC^2=PD^2[/tex]
[tex]\\ \tt\hookrightarrow PC=PD[/tex]
Answer:
Given [tex]\overline{\rm PQ}[/tex] is the [tex]\perp[/tex] bisector of [tex]\overline{\rm CD}[/tex]
⇒ [tex]\overline{\rm CQ}=\overline{\rm CD}[/tex]
⇒ ΔPQD ≅ ΔPQC
⇒ CP = PD
Step-by-step explanation:
Given [tex]\overline{\rm PQ}[/tex] is the [tex]\perp[/tex] bisector of [tex]\overline{\rm CD}[/tex]
⇒ [tex]\overline{\rm CQ}=\overline{\rm CD}[/tex]
⇒ ΔPQD ≅ ΔPQC
⇒ CP = PD
write your own situation in which speed, s, is an independent variable.
Answer:
We want to use time so we will say
The time it takes to finish a jog, t, at the speed of s.
Step-by-step explanation:
The dependent variable we know depends on the independent variable.
Our independent variable is speed because it represents itself where time depends on speed. The reason it depends on speed is that the time to finish a jog depends on your speed.
. Helmi's age and his son's age is in the ratio 10:3.
In 5 years' time, their total age will be 62 years.
How old is Helmi's son now?
Answer:
12 years old
Step-by-step explanation:
let h = helmi's age and let s = son's age (right now)
10s = 3h
h + 5 + s + 5 = 62
h + s + 10 = 62
h + s = 52
3h + 3s = 156
10s + 3s = 156 (substitution)
13s = 156
s = 12
Given the points (9,9) and (-6, -10) find the slope.
m =
1. Observe question
2. Employ Point-Slope formula
(y2 - y1)/(x2 - x1 )=
(-10-9)/(-6-9) =
-19/-15=
19/15
Slope: 19/15
Answer:[tex]\frac{19}{15}[/tex] or 1.26667
Step-by-step explanation:
m=rise over run=Δy over Δx
m=y2−y1x2−x1
m=−10−9−6−9
m=−19−15
m=19/15
a works twice as fast as B if B can complete a work in 12 days independently the number of days in which A and B can together finish the work find that
Answer:
3 days
Step-by-step explanation:
because a works twice as fast meaning they can do there work 3 times as fast
Please help its very hard
Answer:
16 dollars
Step-by-step explanation:
The price includes the price of an empty bag B and the price of popcorn that is proportional to x (the number of ounces). Let each popcorn cost A$. Then the price of bag y = Ax + B
Given x = 10, y = 6, so 6 = 10A + B (1)
Given x = 20, y = 8, so 8 = 20x + B (2)
(2) - (1): 2 = 10A, so A = 2/10 = 0.2
Sub it into (1), 6 = 10*0.2 + B = 2 + B, so B = 6 - 2 = 4
We got y = 0.2x + 4
Check: x = 35, y = 0.2*35 + 4 = 11 (right)
x = 48, y = 0.2*48 + 4 = 13.6 (right)
Now find y when x = 60
y = 0.2*60 + 4 = 16 dollars
help plsssssssssssssss
Answer:
63x + 18
Step-by-step explanation:
9 multiply 7x to give 63x
and 9 multiplies 2 to give 18
Answer:
Option C. 63x +18 is correct.
Step-by-step explanation:
7x ×9= 63x
2×9=18
=63x + 18
Hope it helps.......
Find slope: PLEASE HELP !
Take 2 points
(-7,4)(2,6)Slope:-
[tex]\\ \rm\hookrightarrow m=\dfrac{6-4}{2+7}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{2}{9}[/tex]
[tex]\\ \rm\hookrightarrow m=0.2[/tex]