Answer:
y=-5/2x+1
Step-by-step explanation:
-1-4 ( -5 )
0- (-2 ) = 0+2 ( 2 )
-5/2
y=-5/2x+b
4=-5/2( -2 ) +b
4= 5+b
Subtract 4 from 5 ( 1 )
b=1
y=-5/2x+1
Hope this helped, Have a Great Day!!
The equation of the line passing from the given points is y = -5x/2-1
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, a line is passing through two points (-2, 4) and (0 -1)
We know that, the equation of a line passing through two points is given by,
y-y₁ = (y₂-y₁/x₂-x₁)(x-x₁)
Therefore,
y-4 = (-1-4)/(0+2)(x+2)
y-4 = -5/2(x+2)
y = -5x/2-5+4
y = -5x/2-1
Hence, The equation of the line passing from the given points is y = -5x/2-1
For more references on equations, click;
https://brainly.com/question/29657992
#SPJ2
Solve the equation: -7/10 = 3a/4 - 13/20?
Help pleaseeee! Thanks
Answer:
Solving the equation [tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex] we get: [tex]\mathbf{a=-\frac{1}{15} }[/tex]
Step-by-step explanation:
We need to solve the equation:
[tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex]
And find the value of a
Solving the equation: [tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex]
First we will be Switching sides
[tex]\frac{3a}{4}-\frac{13}{20}=-\frac{7}{10}[/tex]
Now, for finding value of a we will be adding 13/20 on both sides
[tex]\frac{3a}{4}-\frac{13}{20}+\frac{13}{20}=-\frac{7}{10}+\frac{13}{20}[/tex]
[tex]\frac{3a}{4}=-\frac{7}{10}+\frac{13}{20}[/tex]
Now, on right hand side, Taking LCM of denominators i.e 10 and 20, we get 20 and simplifying:
[tex]\frac{3a}{4}=\frac{-7*2+13}{20}\\\frac{3a}{4}=\frac{-14+13}{20}\\\frac{3a}{4}=\frac{-1}{20}[/tex]
Now, multiply both sides by 4/3
[tex]\frac{3a}{4}\times \frac{4}{3} =\frac{-1}{20}\times \frac{4}{3}\\a=\frac{-1}{5}\times \frac{1}{3}\\a= \frac{-1}{15}[/tex]
So, solving the equation [tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex] we get: [tex]\mathbf{a=-\frac{1}{15} }[/tex]
i need help with 2&3
Answer:
2) no
3) yes
Step-by-step explanation:
i think. sorry if im wrong
Answer:
2 No
3 Yes
Step-by-step explanation:
x = ky
Substitute the values of x and y to check if it's proportional. Then solve for k. If k is the same for all 4 equations, then 2 is proportional.
6 = -2k, k = 6/-2, k = -3
7 = -1k, k = 7 / -1, k = -7
8 = 0k, k = 8 / 0, k = 0
9 = k, k = 9
2 is not proportional.
Substitute the values of x and y to check if it's proportional. Then solve for k. If k is the same for all 4 equations, then 3 is proportional.
-70 = -10k, k = -70 / -10, k = 7
-56 = -8k, k = -56 / -8, k = 7
-14 = -2k, k = -14 / -2, k = 7
-7 = -k, k = -7 / -1, k = 7
3 is proportional.
Triangle ABC is graphed below with vertices at A (-4,5), B (-6, -4) and C (4,-4). Use the following rule to produce
triangle A'B'C' using ABC as the original image.
F(x,y) — (x+2, -y)
Show Your Work
Someone help me to solve this problem asap! Please
Step-by-step explanation:
A(-4, 5) => A'(-4+2, -5) = A'(-2, -5)
B(-6, -4) => B'(-6+2, -(-4)) = B'(-4, 4)
C(4, -4) => C'(4+2, -(-4)) = C'(6, 4)
Hence the new coordinates are A'(-2, -5), B'(-4, 4) and C'(6, 4).
26+5 i am in kinder pls help
If angle 4 is x + 15 and angle 2 is 3x - 5, what is the
value of x?
Answer:
I cant tell what u mean but if the angles are equal the answer is 10
Step-by-step explanation:
Based on the calculations, the value of x is equal to 42.5.
Given the following data:
Angle 4 = x + 15.Angle 2 = 3x - 5.To determine the value of x:
What is a supplementary angle?A supplementary angle can be defined as two (2) angles or arc whose sum is equal to 180 degrees.
Mathematically, a supplementary angle is calculated as follows:
[tex]Angle\;2+Angle\;4 =180\\\\3x-5 +x+15=180\\\\4x+10=180\\\\4x=180-10\\\\4x=170\\\\x=\frac{170}{4}[/tex]
x = 42.5.
Read more on supplementary angle here: brainly.com/question/10335289
A car was moving at 14 m/s. After 3 seconds, its speed increased to 20 m/s. What was the acceleration during this time?
Answer:
6 mph
Step-by-step explanation:
the cars acceleration was
6mph
Complete the table shown to the right for the half life of a certain radioactive substance.
Decay rate:1.5% per year=-0.015
The half life is ___ years
Given:
Decay rate: 1.5% per year = -0.015
To find:
The half life.
Solution:
The continuous exponential decay function is
[tex]A(t)=Ae^{-kt}[/tex]
where, a is initial value, -k is decay rate and t is time period.
For half life, [tex]A(t)=\dfrac{A}{2}[/tex],
[tex]\dfrac{A}{2}=Ae^{-0.015t}[/tex]
Dividing both sides by A.
[tex]\dfrac{1}{2}=e^{-0.015t}[/tex]
Taking natural log on both sides.
[tex]\ln \dfrac{1}{2}=\ln e^{-0.015t}[/tex]
[tex]-0.69314718=-0.015t[/tex]
Divide both sides by -0.015.
[tex]\dfrac{-0.69314718}{-0.015}=t[/tex]
[tex]46.209812 =t[/tex]
[tex]t\approx 46[/tex]
Therefore, the half life is 46 years.
please show how to work it out x
Answer:
265.1
Step-by-step explanation:
10% = 0.1
15% = 0.15
0.1(42)(8) + 0.15(14)(15) + 200 = 33.6 + 31.5 + 200 = 265.1 - total amount Adam earned last week.
pls Help. If you do I will give the first person who answers 100 points
Answer:
2%
Step-by-step explanation:
so the point [tex](\sqrt{3},\sqrt{7})[/tex] is in the circumference so the distance from (0,0) to this point will be the radius of the bullseye
[tex]x=\sqrt{(\sqrt{3}-0)^2+(\sqrt{7}-0)^2}\\\\x=\sqrt{3+7}\\\\x=\sqrt{10}[/tex]
so that's the radius
so the area will be
[tex]A=\pi x^2\\\\A=\pi (\sqrt{10})^2\\\\A=10\pi[/tex]
so the percentage is
[tex]P=\frac{A}{1600}\\\\=\frac{10\pi}{1600}\\\\=\frac{\pi}{160}\\\\P\approx 0.02[/tex]
so it's 2%
Kevin walked a total of 14.98 miles last week. He walked the same distance each of the 7 days. How many miles did Kevin walk each day?
Answer:
2.14?
Step-by-step explanation:
(I'm not good at explaining, but I THINK its 2.14)
Hannah is working two summer jobs, making $18 per hour lifeguarding and $9 per hour clearing tables. Last week Hannah worked twice as many hours clearing tables as she worked hours lifeguarding hours and earned a total of $144. Graphically solve a system of equations in order to determine the number of hours Hannah worked lifeguarding last week, x,x, and the number of hours Hannah worked clearing tables last week, yy.
Step-by-step explanation:
18/hour life guarding and 9/hour clearing tables. so 9 divided by 144 gives you ur hours then u just divide by 2 to get life guarding hours pls tell me if u need help
Every evening for the months of September and October, the following eight Gry ndor students, Harry, Ron, Hermione, Ginny, Fred, George, Seamus, and Dean will play a game of Exploding Snap. Let's suppose that each night, exactly three of them play one game. Can there be a game of Exploding Snap every evening throughout September and October without having the same three Gry ndors play a game twice
Answer:
Yes. There can be 56 games (92%) of Exploding Snap every evening throughout September and October that can be played without having the same three Gry ndors play a game twice.
Step-by-step explanation:
This is a combination game without repetition.
The formula for combination without repetition is:
n! /r! (n - r)!
where n = 8 and r = 3
Therefore, n! /r! (n - r)!
= 8! / 3! (8 -3)!
= 40,320 / 6 (120)
= 40,320 / 720
= 56
There are 30 nights in September and 31 nights in October, totaling 61 nights
This implies that 56/61 games can be played in these two months without repeating the same three gamers.
56/61 = 0.918
= 92%
WILL GIVE BRAINLIEST PLEASE QUICK
Yosef is trying to determine whether or not he drinks enough water each day. Today, on average, he drank Two-fifths of a glass of water every hour for 10 hours. To determine how much water he had, he set up the equation, Two-fifths times 10 ?. What is the total amount of water Yosef drank? StartFraction 1 Over 25 EndFraction of a glass One-fourth of a glass 4 glasses 25 glasses
Answer:
4 glasses
Step-by-step explanation:
im sorry if im wrong
Answer:
4 glasses
Step-by-step explanation:
ur welcome
Tara bought 30 books at a yard sale. She now has 220 books. Which equation can be solved to find b, the number of books Tara had before the yard sale?
Answer:
220 = B + 30
Step-by-step explanation:
This can be rearranged many ways
B= 190
B= 220 - 30
ETC...
a microscope has a scale of 250:1. What does this scale means?
Answer:- Things look 250 larger.
Answer:
2,500x.
Step-by-step explanation:
Describe some possible combinations (at least 2) of 4-seat tables and 6-seat tables that will seat 160 customers. Explain how you found them. Write an equation to represent the situation. What do the variables represent?
Answer:
You could do 50 2 seat tables and 5 4 seat tables
You could do you could do 40 2 seat tables and 10 4 seat tables
Step-by-step explanation:
brainliest plz
Graph h(x) = 2/3x + 4
Answer:
Step-by-step explanation:
Answer:
I replaced x with y because, If it was x there would be no graph
Step-by-step explanation:
In an area of the Great Plains, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). Calculate the linear correlation coefficient.
Rainfall (in inches) X 8.3 6.6 11.2 103 16.6 8.1 4.8 13.4 13.8
Yield (bushels per acre). y 55.5 512 63.8 64 874 542 36.9 81 83.8
a. 0.900
b. 0.998
c. 0.899
d. 0.981
Answer:
D. 0.981
Step-by-step explanation:
Given :
Rainfall (in inches) X
8.3
6.6
11.2
10.3
16.6
8.1
4.8
13.4
13.8
Yield (bushels per acre). y
55.5
512
63.8
64
87.4
54.2
36.9
81
83.8
Using the Pearson regression Coefficient calculator :
The Regression Coefficient (R) value obtained is 0.9808 = 0.981 wgi h sig ifues a strong positive relationship between inches of Rainfall and bushel yield.
Sophia was out at a restaurant for dinner when the bill came. Her dinner came to $22. She wanted to leave a 21% tip. How much was her meal plus the tip, before tax, in dollars and cents?
Answer:
Her meal was $26 and 62 cents
Step-by-step explanation:
What are the slope and the y-intercept of Brenda's graph?
A. Slope =1 /3; y-intercept = 7
B. Slope = -3; y-intercept = 21
c. Slope = - 1/3 ; y-intercept =21
D. Slope- 1/3 ; y-intercept = 7
Answer:
The answer is letter D.
Step-by-step explanation:
hope this helps
HELP ME THIS MY LAST QUESTION PLEASE!!!!!!!!!!!!!!!!!!!!!!!
Answer: c
Step-by-step explanation:
utomobiles arrive at the drive-through window at a post office at the rate of 7 every 10 minutes. The average service time is 7 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. (Note: the given equations are NOT necessarily in the correct order.) What is the average time a car is in the system?Formulas for 13.17 What is the average number of cars in the system? What is the average time cars spend waiting to receive service? What is the average number of cars in line behind the customer receiving service? What is the probability that there are no cars at the window? What percentage of the time is the postal clerk busy? What is the probability that there are exactly two cars in the system?
Answer:
The answers to the questions are well numbered below.
Step-by-step explanation:
We have arrival rate
λ = 7 in every 10 minutes = 0.7
Service time u = 7 minutes
1. Average time a car is in system
W = 1/u - λ
= 1/7-0.7
= 0.1587
= 0.16 to 2 decimal places
2. Average number of cars in system
= λ/u-λ
= 0.7/7-0.7
= 0.1111
= 0.11 to 2 decimal places
3. Average time that cars spend to receive service
= λ/u(u-λ)
= 0.7/7(7-0.7)
= 0.01587
= 0.016 to 2 decimal places
4. Average number of cars in line behind customer receiving service
= λ²/u(u-λ)
= 0.7²/7(7-0.7)
= 0.49/44.1
= 0.011 to 2 decimal places
5. Probability no cats at window
1-λ/u
= 1-0.7/7
= 0.9 = 9%
6. Percentage of time postal clerk is busy
= λ/u = 0.7/7 = 0.1 = 10%
7. Probability of exactly 2 cars
= λ²e^-λ/2!
= 0.7²e^-0.7/2!
= 0.1217
= 12.17%
Marriage Prospects Data released by the Census Bureau in 1986 indicated the likelihood that never-married women would eventually marry. The data indicated that the older the woman, the less the likelihood of marriage. Specifically, two statistics indicated that women who were 45 and never-married had an 18 percent chance of marriage and women 25 years old had a 78 percent chance of marriage. Assume that a linear fit to these two data points provides a reasonable approximation for the function p=f(a), where p equals the probability of marriage and a equals the age of a never- married woman.
(a) Determine the linear function p=f(a).
(b) Interpret the slope and p intercept.
(c) Do the values in part b seem reasonable?
(d) If the restricted domain on this function is 20 sa s 50, determine f(20), f(30), f(40), and f(50).
Answer:
a. [tex]f(a) = -0.03a +1.53[/tex]
b. See Explanation
c. The slope is reasonable but the p intercept is not
d. [tex]f(20) = 93\%[/tex] [tex]f(30) = 63\%[/tex] [tex]f(40) = 33\%[/tex] [tex]f(50) = 3\%[/tex]
Step-by-step explanation:
Given
[tex]a = age[/tex]
[tex]p = probability\ of\ marriage[/tex]
[tex]a = 45[/tex] when [tex]p = 18\%[/tex]
[tex]a = 25[/tex] when [tex]p = 78\%[/tex]
Solving (a): The linear function
We start by calculating the slope, m
[tex]m = \frac{p_2 - p_1}{a_2 - a_1}[/tex]
[tex]m = \frac{78\% - 18\%}{25- 45}[/tex]
[tex]m = \frac{60\%}{-20}[/tex]
[tex]m = -3\%[/tex]
[tex]m = -0.03[/tex]
The function is then calculated as follows
[tex]p - p_1 = m(a - a_1)[/tex]
This gives:
[tex]p - 18\% = -0.03(a - 45)[/tex]
[tex]p - 0.18 = -0.03(a - 45)[/tex]
[tex]p - 0.18 = -0.03a +1.35[/tex]
Solve for p
[tex]p= -0.03a +1.35+0.18[/tex]
[tex]p= -0.03a +1.53[/tex]
Hence,
[tex]f(a) = -0.03a +1.53[/tex]
Solving (b): Interpret the slope and the p intercept
The slope is calculated as:
[tex]m = -0.03[/tex]
And it implies that, there is a 3% reduction in change of getting older as women get older
The p intercept implies that, there is a 1.53 chance for 0 years old female child to get married.
Solving (c): Is (b) reasonable
The slope is reasonable.
However, the p intercept is not because of the age of the woman
Solving (d): Determine f(20), f(30), f(40), f(50)
We have that:
[tex]f(a) = -0.03a +1.53[/tex]
[tex]f(20) = -0.03 * 20 + 1.53[/tex]
[tex]f(20) = -0.6 + 1.53[/tex]
[tex]f(20) = 0.93[/tex]
[tex]f(20) = 93\%[/tex]
[tex]f(30) = -0.03 * 30 + 1.53[/tex]
[tex]f(30) = -0.9 + 1.53[/tex]
[tex]f(30) = 0.63[/tex]
[tex]f(30) = 63\%[/tex]
[tex]f(40) = -0.03 * 40 + 1.53[/tex]
[tex]f(40) = -1.2 + 1.53[/tex]
[tex]f(40) = 0.33[/tex]
[tex]f(40) = 33\%[/tex]
[tex]f(50) = -0.03 * 50 + 1.53[/tex]
[tex]f(50) = -1.5 + 1.53[/tex]
[tex]f(50) = 0.03[/tex]
[tex]f(50) = 3\%[/tex]
If the drawing length is 7 cm. and the real length is 28 metres , then drawing scale is what
Answer:
1cm =4 cm
Step-by-step explanation:
28/7=4
so Scale is 4
Have a nice Day , I would appreciate it if you could mark my answer brainliest
The drawing should have a scale of 400:1.
What is scale?A scale is a group of levels or numbers that are applied to a certain system of measurement or comparison.
Given, the drawing length is 7cm and the real length is 28 meters.
real length in cm = 2800. hence,
Scale of drawing = 2800: 7 = 400 : 7
Therefore, 400: 1 would be the scale of the given drawing.
Learn more about scale here:
https://brainly.com/question/28465126
#SPJ2
plz help mezzzzzaZzZzZzZzZzZ
Answer:
1/33Step-by-step explanation:
Typically you would want to solve this equation by dividing both sides by 3 but we need to find an equivalent equation that gives the same answer. 3 divided by 3 is the same as 3 times 1/3. Thus;
3x * 1/3 = 9 * 1/3
x = 3
Best of Luck!
Answer:
3
Step-by-step explanation:
3x = 9
= 3x/3 = 9/3
= 3
answer asap please!!
Alex has three times as many
cards as David. If the average
number of cards that Alex and
David have is 20, how many cards
does Alex have?
Select the correct answer from each drop-down menu. Simplify the given polynomial and use it to complete the statement.
.
The polynomial simplifies to an expression that is a____
A.quadratic
B.liner
C.constany
______
A.trinomial
B.binomial
C.monomial
with a degree of____
A.1
B.2
C.0
Since the leading degree of the resulting expression is 2, hence the polynomial simplifies to an expression that is a quadratic
Simplifying polynomial expressionsPolynomial expressions are expressions that has a leading degree of 3 and above.
Given the expression
(-5x² - 2x + 4) + (8x² - x - 1) - (x+2)(x-5)
Expand the polynomial
(-5x² - 2x + 4) + (8x² - x - 1) - (x² -3x - 10)
Collect the like terms
-5x² + 8x² - x² - 2x - x + 3x + 4 - 1 + 10
2x² + 13
Since the leading degree of the resulting expression is 2, hence the polynomial simplifies to an expression that is a quadratic
Learn more on polynomial here: https://brainly.com/question/2833285
#SPJ1
explanation please?!?!
Answer:
third option
Step-by-step explanation:
[tex]first\:one:\\\\2x+10=-2x+10 \rightarrow\leftarrow\\\\second:\\\\-2(x+5)=2x-10\\\\-2x-10=2x-10\rightarrow\leftarrow\\\\third:\\\\-2x-10=-2(x+5)\\\\-2x-10=-2x-10 \\\\fourth:\\\\-2(x-5)=-2x-10\\\\-2x+10=-2x-10\rightarrow\leftarrow[/tex]
Note: this symbol [tex]\rightarrow\leftarrow[/tex] means contradiction, you can take it as doesn't work
I hope that i explained enough
What is 4π=w−6π
PLEASE HELP
Answer:
w = 10π
w ≈ 31.4159
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
4π = w - 6π
Step 2: Solve for w
Add 6π on both sides: 10π = wRewrite: w = 10πEvaluate: w ≈ 31.4159Answer and Step-by-step explanation:
4[tex]\pi[/tex] = w -6[tex]\pi[/tex]
Add 6[tex]\pi[/tex] to both sides.
10[tex]\pi[/tex] = w
(10 pi equals variable w)
This is your answer.
#teamtrees #WAP (Water And Plant)
noelle is drawing fraction bars to model the sum of 1/5 and 3/4. What is the smallest number of equally sized pieces each fraction bar can be broken into to find the sum?
Answer:
the smallest number of equally sized pieces is 20
Step-by-step explanation:
The computation of the smallest number of equally sized pieces is as follows:
Given that
The sum of 1 by 5 and 3/4
Now
if we sum it
= 1 ÷ 5 + 3 ÷ 4
= 4 + 15 ÷ 20
= 19 ÷ 20
Now as if we do the lcm so the denominator sum be 20
Therefore the smallest number of equally sized pieces is 20