Answer: y=-2x+9
Step-by-step: Subtract 2x from 2x+y=9 and get y=-2x+9
The length of a rectangle is 3 centimeters less than five times its width. Its area is 14 square centimeters. Find the dimensions of the rectangle.
Find the Width and the Length
W=
L=
Answer:
The length of rectangle is 7 cm and width is 2 cm.
Step-by-step explanation:
Given that:
Area of rectangle = 14 square centimeters
The length of a rectangle is 3 centimeters less than five times its width.
Let,
L be the length and W be the width of the rectangle.
L = 5W - 3
Area of rectangle = Length * Width
14 = (5W-3)*W
[tex]14=5W^2-3W\\5W^2-3W-14=0[/tex]
Factorizing the equation;
[tex]5W^2-10W+7W-14=0\\5W(W-2)+7(W-2)=0\\(5W+7)(W-2)=0[/tex]
Either,
5W+7 = 0
5W = -7
W = -7/5
Or,
W-2 = 0
W=2
As width of rectangle cannot be negative, therefore,
Width = 2 centimeters
Length = 5(2) -3 = 10-3 = 7
Hence,
The length of rectangle is 7 cm and width is 2 cm.
Help me please please
Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days. In how many days will the water level be 26 feet?
Answer:
L = 34 - 0.5d
21 feet
Step-by-step explanation:
The initial water level ; 34
the amount is rises per day; 0.5
"L" is the water level,
"d" is the days passed.
In order to find the water level, one will have to multiply the amount the water rises each day, by the days passed. Then one will have to subtract that from the initial water level, hence the equation formed is the following;
L = 34 - 0.5d
Substitute in 26 for "d", to solve for the water level after 26 days.
L = 34 - 0.5(26)
L = 34 - 13
L = 21
There are 40 marbles in a bin and 25% of the marbles are red how many in the bin are red
Answer:
10 marbles
Step-by-step explanation:
25% * 40= 1000
1000/100=10
=10 marbles
I don't understand 1/2 +1/6 what the answer
Answer:
4/6
Step-by-step explanation:
1/2=3/6+1/6=4/6
Answer:
4/6. If you reduce it you get 2/3
Step-by-step explanation:
Help please I don’t understand
Answer:
$52.00
if you need the difference, its $28.00
Answer:
$52
Step-by-step explanation:
In a study investigating the effect of car speed on accident severity, the vehicle speed at impact was recorded for 5,000 fatal accidents. For these accidents, the mean speed was 46 mph and the standard deviation was 13 mph. A histogram revealed that the vehicle speed distribution was mound shaped and approximately symmetric. (Use the Empirical Rule.) (a) Approximately what percentage of vehicle speeds were between 33 and 59 mph
Answer:
68%
Step-by-step explanation:
Given that:
Mean speed (m) = 46
Standard deviation (s) = 13
Approximately what percentage of vehicle speeds were between 33 and 59 mph
Obtain the Zscore for P(Z < x) for both values and subtract :
For x = 33
Zscore :
Z = (x - m) / s
Z = (33 - 46) / 13 = - 1
p(Z < - 1) = 0.15866 ( Z probability calculator)
For x = 59
Zscore :
Z = (x - m) / s
Z = (59 - 46) / 13 = 1
p(Z < 1) = 0.84134 ( Z probability calculator)
Hence, 0.84134 - 0.15866 = 0.68268 = 0.68
0.68 * 100% = 68%
The difference of ten times a number and three is -13
Answer:
10n - 3 = -13
Step-by-step explanation:
What is the approximate surface area of the sphere? Round to the nearest hundredth and use 3.14 for 7. Recall the
formula SA-4x7
Answer:
Option (3)
Step-by-step explanation:
Formula to get the surface area of a sphere is,
Surface area of a sphere = 4πr²
Here 'r' = Radius of a sphere
Since, r = 9 units and π = 3.14
Surface area of the sphere = 4(3.14)(9)²
= 1017.36 square ²units
Therefore, Option (3) will be the correct option.
Answer:
c
Step-by-step explanation:
on edge
Each exterior angle of the regular n-gon has a measure of 3 degrees. How many sides does the polygon have?
Answer:
8 sides for this one
Step-by-step explanation:
hope this helps
I NEED HELP PLZ ITS FOR MY FINAL
PLEASE HELPPPP
Find the equation of the linear function represented by the table below in slope-
intercept form.
X
O
1
2
3
4
y
6
14
22
30
38
Answer: y =
Submit Answer
Answer:
yo done so easy
Step-by-step explanation:
A and B are independent events.
PA) = 0.6
P(B) = 0.4
What is P(AB)?
O A. 0.24
B. 0.6
O c.0.4
D. Not enough information
Answer:
not enough information
Answer:
It's 0.6
Step-by-step explanation:
26. Which is NOT a zero of the following function?
f(x)= x + 3x? – X-3
A. 1
B. -1
C. 3
D. -3
Answer:
i think it is B i think im not too aure
Use x for the unknown number.
Twice an unknown number added to 48 is six times the same unknown number.
Answer:
2x+48=6x
Step-by-step explanation:
Which is the best description for the graph?
O The graph is increasing everywhere.
O The graph is decreasing everywhere.
O The graph is increasing, then decreasing.
O The graph is decreasing, then increasing.
geometry :
find the measure of the exterior angle
Answer:
45
Step-by-step explanation:
i believe its 45 or 55
Answer:
92°
Step-by-step explanation:
(2x - 2)° = x ° + 45°
(2x - 2 - x)° = 45°
(x - 2)° = 45°
x - 2 = 45
x = 45 + 2
x = 47
(2x - 2)° = (2*47 - 2)° = (94 - 2)* = 92°
I need help with my math homework
Answer:
See below, sorry for taking so long
Step-by-step explanation:
1.
A. Slope is rise over run or y2 - y1 divided by x2 - x1
We have (-5, 1) and (-3, 7)
7 - 1 / -3 - (-5)
6 / -3 + 5
6 / 2 = 3
Slope = 3
B. So point slope form is y - y1 = m(x - x1)
We know the slope so:
y - 1 = 3(x - (-5))
C. Using the point slope we can move things around to get slope-intercept:
y - 1 = 3(x + 5)
y - 1 = 3x + 15
y - 1 + 1 = 3x + 15 + 1
y = 3x + 16
D. Standard form is Ax + By = C:
y = 3x + 16
y - y = 3x + 16 - y
0 = 3x + 16 - y
0 - 16 = 3x + 16 - y - 16
-16 = 3x - y
3x - y = -16
I NEED HELP ASAP PLEASE
Order the numbers from least to greatest.
-5 1/2
-5.2
-5
-5/2
5.5
Answer:
Least to greatest: -5 1/2, -5.2, -5, -5/2, 5.5
Help please can you do like (1) _____ then like (2) _____ please that would be helpful
Answer:
down there
Step-by-step explanation:
1. Adam 57 seconds, Cameron 60 seconds, Cody 60 seconds, Kevin 58 seconds, Joao 59 seconds
2.Just line the bars to the times
What is the length of the line segment with endpoints (-1, -2) and (4, 10)?
Answer:
u smart biy
Step-by-step explanation:
please need help answer
Answer:
yudsghbndnshegdm
Step-by-step explanation:send ur location come thruuuuuuuuuuuuuuuuuuuuuuuuuuu
anyone help, please. CFA 8
S-IC.2: Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation.
A drug manufacturer claims that 13% of the population of South Africa is living with HIV. As a World Health Organization researcher, you collect evidence to test this claim. You use statistical techniques to sample 125 random residents of South Africa and find that 20 of them test positive for HIV.
You plan to simulate one sample of 125 residents by randomly selecting 125 integers between 1 and 100.
From your actual sample of 125 residents, what proportion of the sample has HIV? 125
What do the randomly selected numbers represent? Why did you pick 125 of them? The number of residents
What assigned numbers indicate a simulated resident has HIV?
2. You plan to run 100 simulations, each with a random sample of 125 residents.
What do you think the true mean population proportion from the 100 simulations would be close to? Explain why.
Is this a simulation of an observational study or an experimental study? Explain why.
The margin of error for this study is about 0.06 or 6% around the population proportion. Are you able to support the claim of the drug manufacturer? Explain why or why not.
What could be done to make the margin of error smaller and get a better sample of the population? Why does that make sense?
Answer:
gooooooooooooooooo
Step-by-step explanation:
goooooooooooooooooop
1) The proportion of the sample that has HIV is 0.16. 2) The randomly selected numbers represent the HIV status of the simulated residents.
1. The proportion of the sample that has HIV is 20 / 125 = 0.16.
2. The randomly selected numbers represent the HIV status of the simulated residents. We picked 125 of them because that is the sample size of the actual study.
We can assign the numbers 1 to 13 to represent the simulated residents who have HIV. This is because 13% of the population is estimated to have HIV.
I think the true mean population proportion from the 100 simulations would be close to 0.13, the HIV prevalence rate that was estimated in the actual study. This is because the simulations are randomly generated, and the probability of a simulated resident having HIV is 13%.
This is a simulation of an observational study. This is because the researchers are not intervening in the lives of the simulated residents. They are simply observing the HIV status of the simulated residents.
The margin of error for this study is 0.06, which is 6%. This means that the true population proportion of people with HIV could be anywhere between 0.07 and 0.19. The drug manufacturer's claim that 13% of the population has HIV is within this range, so we cannot definitively support or refute their claim.
To make the margin of error smaller and get a better sample of the population, we could increase the sample size. This would give us more data points to work with, which would make our estimate of the population proportion more accurate. Additionally, we could stratify the sample by age, gender, or other factors that could affect the prevalence of HIV. This would help us to ensure that our sample is representative of the entire population.
To learn more about proportion here:
https://brainly.com/question/32027272
#SPJ2
PLEASE HELP! WILL GIVE BRAINLIEST!
Answer:
Answer is C
Step-by-step explanation:
Using SOH CAH TOA
Enuncia 5 vectores que pertenecen a un mismo sub espacio
Answer:
what?
Step-by-step explanation:
which list shows the temperatures in order from coldest to warmest in degrees fahrenheit? HELP ME PLSSS I NEED THIS SOON
Answer:
Step-by-step explanation:
The answer is C
(づ｡◕‿‿◕｡)づ
Hope it helps
Which step(s) would create equations so that the coefficients of one of the variables are
opposites?
(A) Multiply the first equation by 7.
Multiply the second equation by 3.
(B) Multiply the first equation by -2.
Multiply the second equation by 4.
(C) Multiply the first equation by 2.
(D) Multiply the second equation by 4.
Solve – 4y – 10 = 4(y - 3)
Answer:
y= 1/4
Step-by-step explanation:
Answer:
y=-7/8
Step-by-step explanation:
-4y-10=4y-3
add 10 on both sides
-4y=4y+7
subtract the four on the right from both sides
-8y=7
divide -8 on both sides
answer: -7/8
Please help!!! I need help
Answer:
Step-by-step explanation:
What the hell is that oh no I am not doing that
Solve the following quadratic equation.
(x - 16)2 = 256 The 2 is the exponent so please don't misunderstand it lol, thank you for who ever helps me.
A. x = 30 and x = 8
B. x = -30 and x = -8
C. x = -32 and x = 0
D. x = 32 and x = 0
Answer:
D. x = 32 and x = 0
Step-by-step explanation:
You can solve it a multitude of ways one of the easiest ways for me was the quadratic formula.
A mail carrier travels at 15 miles per hour through a neighborhood. Which table
represents the distance the mail carrier travels in x hours?
2
G
H
0 1 3
yo 16 18
0 24
yo 30 55
x 135
y 15 45 75
x 134
y 15 40 55
Answer:
Step-by-step explanation:
the table is not copied correctly, I assume
the mail carrier will travel a distance of 15x