Hi there!
[tex]\large\boxed{y = -7}[/tex]
4y - 2(1 - y) = -44
Begin by distributing -2:
4y - 2(1) - 2(-y) = -44
Simplify. A negative times a negative equals positive.
4y - 2 + 2y = -44
Combine like terms:
6y - 2 = -44
Add 2 to both sides:
6y = -42
Divide both sides by 6:
y = -7
Can someone answer me I don’t get it
Answer:
B, C and F
Step-by-step explanation:
Negative numbers go farther and father to the left on a number line the higher in value they get.
Which statement describes the term economics?
Answer:
Economics: A social science that studies how people interact with value!
Hope this helps :D
please help me with this equation
1% of 4300 = ? * 11 43 30 33
Answer:
43
Step-by-step explanation:
1% = 0.01 = 1/100
4300 / 100 = 43
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
43
4300/100=43 .........
Find 59.2% of 250................................................
Answer:
148
Step-by-step explanation:
59.2/100x250
Determine the volume of a sphere with a radius of 1.28 inches. Round your answer to the nearest hundredth. Use 3.14 for pi.
a.
8.78 cu. in
c.
9.78 cu. in
b.
7.48 cu. in
d.
2.48 cu. in
Answer:
A
Step-by-step explanation:
The equation is V=4/3 times Pi times radius^3
Why should you write everything down instead of doing the math in your head?
Answer and Step-by-step explanation:
It ensures that you don't accidently skip a step or get confused by which numbers are being used. By writing it down, it allows you to look back and see if you answer was correct or incorrect.
For example:
On a test, you need to do a complicated math problem that you know you can do in your head. It would still be a good idea to write down the process, so that you can see in front of you the numbers you get and results. If it is incorrect when checking over you answers, then you can go through the steps you made to see where you made a mistake.
#teamtrees #PAW (Plant And Water)
Answer:
Because when you need to use this information in the future it will be in your notebook/binder. When you study each lesson you will have the answers in your notes for when you do a Test or quiz. When doing math in your head it is called mental math but it is only used when needed.
Step-by-step explanation:
- chicken box
A population has a standard deviation of 97. We take a random sample of size 26 from this population. Let Xbar be the sample mean and let Xtot be the sample sum of our sample. These are random variables. a) What is the variance of this population
Answer:
Variance of this population = 9,409
Step-by-step explanation:
Given:
Standard deviation of population = 97
Random sample size = 26
Find:
Variance of this population
Computation:
Standard deviation (σ) = 97
Variance = Standard deviation²
Variance = (σ)²
Variance of this population = Standard deviation of population²
Variance of this population = 97²
Variance of this population = 9,409
PLEASEEEEEEE HELP!!!!!
Answer:
22.18
Step-by-step explanation:
c squared = a squared + b squared - 2ab cos c
or a instead of c in this case.
144+225-360(-0.342)
square root 492.12
Eighteen students decide they don't want to be
rescued and want to continue to live in the
jungle. If this represents 40% of the students,
how many students want to be rescued?
Answer:
27
Step-by-step explanation:
There are 45 students in total and 18 want to continue living in the jungle
45-18=27
Enter the height of the cylinder to the nearest hundredth.
diameter: 4.2 m
volume: 3.8 m3
The height of the cylinder is
m.
Answer:
the height is 4.2
Step-by-step explanation:
Find the sum of the arithmetic series given a1=8,a14=99,n=14.
Answer:
The sum of the series is 749
Step-by-step explanation:
Given
[tex]a_1 = 8[/tex]
[tex]a_{14} = 99[/tex]
[tex]n = 14[/tex]
Required
The sum of the series
This is calculated using:
[tex]S_n = \frac{n}{2}[a_1 + a_n][/tex]
Substitute 14 for n
[tex]S_{14} = \frac{14}{2}[a_1 + a_{14}][/tex]
[tex]S_{14} = 7[a_1 + a_{14}][/tex]
Substitute values for a1 and a14
[tex]S_{14} = 7[8 + 99][/tex]
[tex]S_{14} = 7*107[/tex]
[tex]S_{14} = 749[/tex]
how many hundreds are in 200 + 10 + 6
Answer:
1
Step-by-step explanation:
Answer:
2?
Step-by-step explanation:
Write the percent as a fraction or mixed number in simplest form.
1. 12.5%
2.55%
3. 180%
4. 24%
Answer:
1) [tex]\frac{1}{8}[/tex]
2) [tex]\frac{55}{100} or \frac{11}{20}[/tex]
3) [tex]\frac{9}{5}[/tex]
4) [tex]\frac{6}{25}[/tex]
A 400 gallon tank initially contains 300 gallons of water containing 0.8 lb of salt. Suppose water containing 0.6 lb of salt per gallon flows into the top of the tank at a rate of 2 gallons per minute. The water in the tank is kept well-mixed, and 7 gallons per minute are removed from the bottom of the tank. a. Write an initial value problem for S(t), the amount of salt in the tank at time t. Do not solve the equation!! b. Write an expression in terms of S for the amount of salt in the tank when the tank is one-quarter full. Show all your work on the paper you scan and submit. You do not need to type anything in the box below.
Answer:
a. dS(t)/dt + [7S(t)/(300 - 5t)] = 1.2 with S(0) = 0.8
b. S(t) = [tex]\frac{120e^{\frac{7t}{100} } }{7}[/tex] - 16.34[tex]e^{-\frac{7t}{100}[/tex]
Step-by-step explanation:
a. Write an initial value problem for S(t), the amount of salt in the tank at time t. Do not solve the equation!!
The net mass flow rate of salt dS(t)/dt = mass flow in - mass flow out
mass flow in = concentration of flow in × flow rate in = 0.6 lb/gal × 2 gal/min = 1.2 lb/min
Let S(t) be the mass of salt in the tank at time, t. The concentration of salt in the tank at time, t, C(t) = S(t)/volume of tank at time t ,V
V = V₀ + (r - r')t where V₀ = initial volume of water in tank = 300 gal, r = volume flow rate in = 2 gal/min, r'= volume flow rate out = 7 gal/min and t = time
So, V = V₀ + (r - r')t
V = 300 + (2 - 7)t
V = 300 - 5t
So, C(t) = S(t)/V = S(t)/(300 - 5t) lb/gal
Now, mass flow rate out = concentration in tank × volume flow rate out = S(t)/(300 - 5t) lb/gal × 7 gal/min = 7S(t)/(300 - 5t) lb/min
So, dS(t)/dt = mass flow in - mass flow out
dS(t)/dt = 1.2 lb/min - 7S(t)/(300 - 5t) lb
dS(t)/dt = 1.2 - 7S(t)/(300 - 5t)
So, our differential equation is
dS(t)/dt + [7S(t)/(300 - 5t)] = 1.2 with S(0) = 0.8 since we initially have 0.8 lb of salt
b. Write an expression in terms of S for the amount of salt in the tank when the tank is one-quarter full.
When the tank is one-quarter full, V = volume of tank/4 = 400 gallons/4 = 100 gallons
We now solve our differential equation
dS(t)/dt + 7S(t)/100 = 1.2
Using the integrating factor method, I.F = [tex]e^{\int\limits{\frac{7}{100} \, dt } =[/tex] [tex]e^{\frac{7t}{100} }[/tex]
[tex]e^{\frac{7t}{100}[/tex]dS(t)/dt +
d[[tex]e^{\frac{7t}{100}[/tex]S(t)]/dt = 1.2
d[[tex]e^{\frac{7t}{100}[/tex]S(t)] = [1.2
integrating both sides, we have
∫d[[tex]e^{\frac{7t}{100}[/tex]S(t)] = ∫[1.2
Let u = 7t/100. So, du/dt = 7/100 and dt = 100du/7
∫[1.2[tex]e^{\frac{7t}{100}[/tex]]dt = ∫[1.2 × 100[tex]e^{u}[/tex]]du/7 = (120/7)∫
[tex]e^{\frac{7t}{100}[/tex]S(t) = [tex]\frac{120e^{\frac{7t}{100} } }{7}[/tex] + C
S(t) = [tex]\frac{120e^{\frac{7t}{100} } }{7}[/tex] ÷ [tex]e^{\frac{7t}{100}[/tex] + [tex]e^{-\frac{7t}{100}[/tex]
S(t) = [tex]\frac{120e^{\frac{7t}{100} } }{7}[/tex] + C[tex]e^{-\frac{7t}{100}[/tex]
From our initial condition, S(0) = 0.8. So,
S(0) = [tex]\frac{120e^{\frac{7(0)}{100} } }{7}[/tex] + C[tex]e^{-\frac{7(0)}{100}[/tex]
S(0) = [tex]\frac{120e^{\frac{0}{100} } }{7}[/tex] + C[tex]e^{-\frac{0}{100}[/tex]
S(0) = [tex]\frac{120e^{0}}{7}[/tex] + C[tex]e^{0}[/tex]
0.8 = [tex]\frac{120}{7}[/tex] + C
C = 0.8 - 120/7
C = 0.8 - 17.14
C = - 16.34
So,
S(t) = [tex]\frac{120e^{\frac{7t}{100} } }{7}[/tex] - 16.34[tex]e^{-\frac{7t}{100}[/tex]
Which pair of triangles can be used to show that the slope of line a is the same anywhere along the line?
Answer:
C
Step-by-step explanation:
The pair of triangles in option C (image attached below) shows that the slope of line a is the same anywhere on the line.
Let's check it out:
Slope = rise/run
✔️For the first lower triangle:
Rise = 3.5
Run = 4.5
Slope = 3.5/4.5 ≈ 0.8
✔️For the second upper traingle:
Rise = 4
Run = 5
Slope = 4/5 = 0.8
Therefore, it shows that the slope of the line is the same anywhere along the line of the graph.
Answer:
Step-by-step explanation:
What is the slope of the line that passes through the
points (2, 6) and (2, 9)?
0
3
undefined
Find the x- and y-intercepts on the graph.
y
100.
8
61
-
4
- 10 -8 70
2
4
6
8
Y
10
wwwwwwwww
– 101
x-intercept
(x, y) =
y-intercept
(x, y) =
A 14:-----------
Search
N
9514 1404 393
Answer:
x-intercept: (-5, 0)
y-intercept: (0, 5)
Step-by-step explanation:
The x-intercept is where the graph crosses the x-axis. The x-value there is -5. The y-value of any point on the x-axis is 0, so the point coordinates are (-5, 0).
The y-intercept is where the graph crosses the y-axis. The y-value there is 5. The x-value of any point on the y-axis is 0, so the point coordinates are (0, 5).
x-intercept: (-5, 0)y-intercept: (0, 5)1) WILL MAKE BRAINLIEST
write the slope-intercept form of the equation of each line.
Answer:
[tex]y=2x+3[/tex]
Step-by-step explanation:
1. Approach
Slope intercept form is a way of expressing an equation of a line using the slope of a line, and its y-intercept. The general format for the equation of a line in slope-intercept form is the following,
[tex]y=mx+b[/tex]
Find each of the missing pieces of information and substitute it into the equation to find the equation of the line.
2. Find the slope
The slope of a line is the change in the line is can be found using the following formula,
[tex]\frac{y_2-y_2}{x_2-x_1}[/tex]
As one can see on the given graph, two points on the line are the following,
[tex](-2, -1), (-1, 1)[/tex]
Substitute the points into the formula and solve for the slope,
[tex]\frac{(1)-(-1)}{(-1)-(-2)}[/tex]
[tex]=\frac{2}{1}\\\\=2[/tex]
3. Find the y-intercept
The y-intercept of a line is where the line intersects the y-axis. As one can see this point is the following,
[tex](0,3)[/tex]
Thus the y-intercept is (3).
4. Put the information together
Putting all of this information together, substitute the found information into the general equation for slope-intercept form. One can see that the equation of a line is the following,
[tex]y=2x+3[/tex]
A bus has 10 seats that can hold 2 passengers and another seat that can hold 3 passengers how many passengers can be seated on the bus
Answer:it can hold 23 passangers
Step-by-step explanation:
Many elementary school students in a school district currently have ear infections. A random sample of children in two different schools found that 16 of 40 at one school and 13 of 30 at the other had this infection. Conduct a test to answer if there is sufficient evidence to conclude that a difference exists between the proportion of students who have ear infections at one school and the other. Find the test statistic. [Suggestion: try to use a TI 83 or a similar calculator.]
Answer:
The test statistic is [tex]z = -0.28[/tex]
Step-by-step explanation:
First, before finding the test statistic, we need to understand the central limit theorem and difference between normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
A random sample of children in two different schools found that 16 of 40 at one school
This means that:
[tex]p_1 = \frac{16}{40} = 0.4, s_1 = \sqrt{\frac{0.4*0.6}{40}} = 0.0775[/tex]
13 of 30 at the other had this infection.
This means that:
[tex]p_2 = \frac{13}{30} = 0.4333, s_2 = \sqrt{\frac{0.4333*0.5667}{30}} = 0.0905[/tex]
Conduct a test to answer if there is sufficient evidence to conclude that a difference exists between the proportion of students who have ear infections at one school and the other.
At the null hypothesis, we test if there is no difference, that is:
[tex]H_0: p_1 - p_2 = 0[/tex]
And at the alternate hypothesis, we test if there is difference, that is:
[tex]H_a: p_1 - p_2 \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the two samples:
[tex]p = p_1 - p_2 = 0.4 - 0.4333 = -0.0333[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0775^2+0.0905^2} = 0.1191[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-0.0333 - 0}{0.1191}[/tex]
[tex]z = -0.28[/tex]
The test statistic is [tex]z = -0.28[/tex]
#2 Your 18% tip on a meal at a restaurant was $5.40. How much was the bill?
Explain your work using the percent method of your choice.
PLEASE ANSWER I NEED HELP WHO EVER ANSWERS I WILL MARK BRAINLIEST
Members of a bowling league play thousands of combined games over the course of a season. Suppose that the scores of individual games have a known standard deviation of σ=30 pins. Isla plans on taking a random sample of n games from this population to make a 95% confidence interval for the mean score. She wants the margin of error to be no more than 10 pins. Which of these is the smallest approximate sample size required to obtain the desired margin of error?
9 games
30 games
35 games
43 games
55 games
Answer: 35
Step-by-step explanation:
Got it right on khan
Which inequality is equivalent to |x-4/<9?
- 9> X-4 < 9
0.9< X - 4 < 9
OX-4<-9 or X-4 < 9
X – 4 >-9 or x 4 < 9
Answer: x-4>-9 or x-4<9
Step-by-step explanation:
The correct option for the given inequality is x-4>-9 or x-4<9
What is an inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given an inequality, |x-4| < 9
Using the rule, if |x| < a then, -a < x < a.
Therefore,
|x-4| < 9
-9 < x-4 < 9
x-4 > -9 or x-4 < 9
Hence, The correct option for the given inequality is x-4>-9 or x-4<9
For more references on inequality, click;
https://brainly.com/question/28823603
#SPJ2
6. A stoplight at an intersection stays red for 60 second, changes to green for 45
seconds, and then turns yellow for 15 seconds. If Jamal arrives at the
intersection at a random time, what is the probability that he will have to wait at
a red light for more than 15 seconds?
Answer:
0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds
Step-by-step explanation:
At each second, the stoplight is equally likely to change, which means that we use the uniform probability distribution to solve this question.
Uniform probability distribution:
Has two bounds, a and b. The probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Red for 60 seconds
So when Jamal arrives it can change in any number of seconds between 0 and 60, that is, [tex]a = 0, b = 60[/tex]
Probability that he will have to wait at a red light for more than 15 seconds?
[tex]P(X > 15) = \frac{60 - 15}{60 - 0} = \frac{45}{60} = \frac{3}{4} = 0.75[/tex]
0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds
Connie mason has a coupon for 25 percent off the purchase of a necklace that has a regular price of 100 what is the price after the coupon is used
what is the area of the triangle 13,12,5
Answer:
area = 5
Step-by-step explanation:
Jerry has $90 in his savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much interest will he earn in 3 years
Answer:
27 cents
Step-by-step explanation:
10% of 90= 9
9x3=27
Answer:
p x t x r / 100
90 x 10 x 3 / 100
=27
Graph the following function on the axes provided.
Answer:
this may help you.look it once
Step-by-step explanation:
.
i need help i dont know how to do this yet
Answer:
A=wl=4·7=28 answer is 28
Step-by-step explanation:
Answer:
the answer is 28
Step-by-step explanation:
you do lengthh times width
the length is 7 the width is 4
so 7 times 4 is 28