Given: -7(x+2)+4x=6(2x-4) prove: x=2/3
Answer:
2/3
Step-by-step explanation:
multipy (X+2) by 7 the you multiply (2x-4) by 6 I.e
-7×X- (-7×2)+4x=6×2x-6×4
-7x-14+4x=12x-24
collect like terms
-7x+4x-12x=-24+14
-15x=10
divide both side by -15, so that X can stand alone
-15x/-15=-10/-15
-15 cancels -15, minus cancels minus
X=10/15
X=2/3
area exercises 1 5\8 hours per day if he exersises five days a week how many total hours does he exersise in a week
Records on a fleet of trucks reveal that the average life of a set of spark plugs is normally distributed with a mean of 22,100 miles. A manufacturer of spark plugs claims that its plugs have an average life in excess of 22,100 miles. The fleet owner purchased 18 sets and found that the sample average life was 23,400 miles, the sample standard deviation was 1,500 miles and the computed test statistic was 3.677. Based on these findings, there is enough evidence to accept the manufacturer's claim at the 0.05 level.
Answer:
There no sufficient evidence to support the manufactures claim at the 0.05 level
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 22100 \ miles[/tex]
The sample mean is [tex]\= x = 23400 \ miles[/tex]
The sample size is [tex]n = 18[/tex]
The standard deviation is [tex]\sigma = 1 500 miles[/tex]
The test statistics is [tex]t = 3.677[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu = 22100[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 22100[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(t >3.677 )[/tex]
From the z-table [tex]P(t >3.677 ) = 0.000118[/tex]
So
[tex]p-value = 2 * 0.000118[/tex]
=> [tex]p-value = 0.000236 [/tex]
From he value given and obtained we see that [tex]p-value < \alpha[/tex]
Hence we reject the null hypothesis
Hence there no sufficient evidence to support the manufactures claim
I need help, please
Answer:
2
Step-by-step explanation:
1+1=2
Scott runs 3 km in 30 minutes and then rests for 15 minutes. He then runs 2 km in 15
minutes. What was Scott's average speed?
Answer:
5km/hr
Step-by-step explanation:
Given
Distance = 3km and 2km
Time = 30 mins, 15 mins, 15 mins
Required
Determine the average speed
To answer this, we need to determine the total distance.
Distance =3km + 2km = 5km
Then, we calculate the total time
Time = 30 mins + 15 mins + 15 mins = 1 hr
Next, we can now determine the average speed using:
Average Speed = Total Distance/Total Time
Average Speed = 5km/1 hr
Average Speed = 5km/hr
Which of the following coordinates would be the reflection of the point (7, -2) over the x-axis.
a)( -7,-2) b) (7,2 ) c) (-7,2) d) ( 2,7)
Answer:
The correct answer is B) (7,2).
Step-by-step explanation:
I hope this helps!
PLEASE HELP ME I WILL GIVE BRAINLEIST ASAP
The graph of f(x) is shown. What is the value of x when f(x) = 4?
Answer:
5
Step-by-step explanation:
The function intersects the y-axis at 1, and its slope is 1, so the function of the graph is y = x+1. Plugin 4, and you get y = 5.
8 points if answered!!
Anyone have the guided notes answers from this point up to the unit test ? Geometry A
Answer:
vvhcfggfcc
Step-by-step explanation:
ccgvvhhh I don't I need more points buddy
I need help solving this problem
Answer:
18x^2 - 40x / 3
Given g(x) = -X – 1, solve for x when g(x) = 3.
Answer:
-4 = x
Step-by-step explanation:
g(x) = -X – 1
g(x) = 3
3 = -x-1
Add 1 to each side
3+1 = -x-1+1
4 = -x
Multiply by -1
-4 = x
Lydia subtracted 5.6 - 2.31 and got an answer of 2.25 what did she do wrong
Answer:
She did 5.60-2.31=2.25
Step-by-step explanation:
She should have subtracted 5.6-2.31=3.29
- Answer:
the answer is 3.29
she didn't put the decimal point in the right place when subtracting
Step-by-step explanation:
correct
5.6
-
2.31 =
3.29
NOTICE THAT IN THIS PROBLEM THE DECIMAL POINTS ARE ALIGNED WITH EACH OTHER.
wrong
5.6
-
2.31
=
2.25
NOTICE THAT IN THIS PROBLEM THE DECIMAL POINTS ARE NOT ALIGNED WITH EACH OTHER.
Also plz mark brainliest and try to answer my question
Can someone help me
Answer:
with what?
Step-by-step explanation:
How do you write 1.8 × 10^1 in standard form?
Answer:
probable as
1.8 × 10 = 18
brainliest ig?
Which number is the greatest?
O 1.2
O 1.3
O 1.235
O 1.003
Answer:
bStep-by-step explanation:
Answer:
b
Step-by-step explanation:
go it right on edge
4. Factor 16b-4 FT
(1 Point)
Enter your answer
So basically you factor 4 out of 16
4(4b-1)
You are filling piñatas for your sister's birthday party. The list shows the gifts you are putting into the piñatas. You want identical groups of gifts in each piñata with no gifts left over. What is the greatest number of piñatas you can make?
Answer:
The greatest number of piñatas you can make with the gifts is:
6 piñatas.Step-by-step explanation:
To identify the greatest number of piñatas, you must think in a number that can divide another and obtain a whole number with this:
182442Bigger the number, greater the number of piñatas, in this case, you can see the numbers given can be divided into four numbers obtaining a whole number: 1, 2, 3, and 6. Remember that the best number is the greatest, in this case, number six. Now you proceed to divide the numbers into 6:
[tex]\frac{18}{6}= 3[/tex][tex]\frac{24}{6}= 4[/tex] [tex]\frac{42}{6}=7[/tex]Taking into account the values obtained, you can see that each piñata would have: 3 bottles of nail polish, 4 pairs of earrings, and 7 lollipops.
Hey
What’s 8=D mean? I see it all the time but can’t figure it out! Help! My peers laugh at me. Is it simple math?
Answer:
it's a dirty joke, like when you type things into a calculator and turn it upside down to make it look like a word. It's not an equation
Step-by-step explanation:
Answer:
its a depiction using symbols from a calculator about mens sexual organs its really dirty and you shouldn't use it especially if you are too inoccent to know what it is
what
is bigger 2/5 or 0.25
Answer:
2/5 is bigger
Step-by-step explanation:
2/5 is 0.40
The square root of 10 lies between what 2 numbers?
A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The square root of 10 lies between 3 and 4.
What is a number line?A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
In order to find the square root of 10 lies between which two numbers the approximate value of the root is needed to be calculated.
√10 = 3.162.......
Now, if we plot √10 on the number line its value will lie between 3 and 4.
Hence, The square root of 10 lies between 3 and 4.
Learn more about the Number line:
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in this image, what is Janelle's position relative to sea level while hiking? what should the altimeter read a this position?
Answer:
janelle is 2,015.75 ft above sea level the altimeter should read plus 2,015.75
2,015.75 ft is the Janelle's position relative to sea level while hiking and the altimeterread this position as 2,015.75.
hope this hep you
1. Contaminated water is subjected to a cleaning process. The concentration of the pollutants is initially 5 mg per liter of water. If the cleaning process can reduce the pollutant by 10% each hour, define a function that can represent the concentration of pollutants in the water in terms of the number of hours that the cleaning process has taken place.
Answer:
[tex]C(t)=5\cdot(0.9)^t[/tex]
Step-by-step explanation:
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
[tex]C(t)=C_o\cdot(1-r)^t[/tex]
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The concentration of the pollutants starts at Co=5 mg/lt. We also know the pollutant reduces its concentration by 10% each hour. This gives us a value of r = 10% / 100 = 0.1
Substituting into the general equation:
[tex]C(t)=5\cdot(1-0.1)^t[/tex]
Operating:
[tex]\boxed{C(t)=5\cdot(0.9)^t}[/tex]
y(n) = 5(0.9)ⁿ
To answer this, we will make use of the exponential decaying function which is given by;y(n) = a(1 - b)ⁿ
where;
y is the final amount at time n,
a is the original amount
b is the decay factor
x is the amount of time that has passed.
We are told that the initial concentration of the pollutants is 5 mg/LThus;
a = 5 mg/L.
We are told that the pollutant reduces its concentration by 10% each hour. Thus; b= 10%
b = 0.1
Therefore Plugging in the relevant values into y(n) = a(1 - b)ⁿ, we have;y(n) = 5(1 - 0.1)ⁿ
y(n) = 5(0.9)ⁿ
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whats 8 and 2\5 as an improper fraction
it is very easy first multiply (8*2) then our ans 16
then add 16 + 5 = 21 21\5
answer 21\5
Holiday Inn charges its cost one dollar plus $.80 per minute for long distance calls. Across the street, La Quinta charges its guests $2 plus $0.75 per minute for long distance calls. Which equation correctly models the length of a call for which the two hotels charge the same amount
please assist me with the domain and range of graphs
Answer: see below
Step-by-step explanation:
Domain represents the x-values from the smallest (furthest left) to the biggest (furthest right).
Range represents the y-values from the lowest (furthest down) to the highest (furthest up).
Interval notation: If a value is included (closed dot), use a bracket [ ]
If a value is NOT included (open dot), use a parenthesis ( )
Note that ± ∞ is never included.
1. Domain: smallest x-value is -4 (included). biggest x-value is 3 (included)
Range: lowest y-value is 2 (included). highest y-value is 5 (included)
D: x = [-4, 3] R: y = [2, 5]
2. Domain: smallest x-value is -∞ (←). biggest x-value is 2 (included)
Range: lowest y-value is 2 (included). highest y-value is ∞ (↑)
D: x = (-∞, 2] R: y = [2, ∞)
3. Domain: smallest x-value is -∞ (←). biggest x-value is ∞ (→)
Range: lowest y-value is -∞ (↓). highest y-value is ∞ (↑)
D: x = (-∞, ∞) R: y = (-∞, ∞)
4. Domain: smallest x-value is -∞ (←). biggest x-value is ∞ (→)
Range: lowest y-value is -∞ (↓). highest y-value is 4 (included)
D: x = (-∞, ∞) R: y = (-∞, 4]
5. Domain: smallest x-value is -∞ (←). biggest x-value is ∞ (→)
Range: lowest y-value is 3 (included). highest y-value is ∞ (↑)
D: x = (-∞, ∞) R: y = [3, ∞)
6. Domain: smallest x-value is -2 (included). biggest x-value is ∞ (→)
Range: lowest y-value is -3 (included). highest y-value is ∞ (↑)
D: x = [-2, ∞) R: y = [-3, ∞)
What value of x makes this equation true?
0.6x - 5 = 0.1x + 7
Answer:
x=24
Step-by-step explanation:
0.6x - 5 = 0.1x + 7
add 5 to both sides:
0.6x = 0.1x + 12
take away 0.1x from both sides:
0.5x = 12
divide both sides by 0.5
x = 12÷0.5
x=24
hope this helps
brainliest plz?
x
Nico wanted to determine the number of students in his school who buy school lunch.he walked around the cafeteria one lunch period looking to see whether every fifth person in the cafeteria purchased lunch or brought their own.which method did he use to collect his data
Answer:
Observational study
Step-by-step explanation:
Answer:
D: Observational Study
Step-by-step explanation:
edg2020
He did not go around asking people how many of them buy lunch, so it is not a survey. He did not create the settings and conditions or simulate possible examples, so its not B. He did not control or change any variables, so it is not an experiment. He simply walked around and Observed people to get information for his study. Thus it is D.
A box of Shredded Wheat weighs 0.35 kg and a box of Weetabix weighs 9/25 kg?
Which box is heavier?
Show your work
PLEASE HELP DUE TONIGHT THANK YOU SO MUCH
Answer: The box of Weetabix is heavier by 0.01 kg
Step-by-step explanation:
Divide 9/25 to get the decimal equivalent
9÷25 =0.36
Compare Shredded Wheat at 0.35 kg to Weetabix at 0.36 kg
Weight of the box of Shredded Wheat is [tex]0.35[/tex] kg and weight of the box of Weetabix is [tex]0.45[/tex] kg.
So, the box of Weetabix is heavier.
Weight of the box of Shredded Wheat [tex]= 0.35[/tex] kg.
Weight of the box of Weetabix [tex]= \frac{9}{25}[/tex] kg.
Here to compare the two weights, first make both of them similar.
Either make both of them decimals or both of them fraction.
Here, we will make both the weights decimals.
[tex]\frac{9}{20} = 0.45[/tex]
Now, [tex]0.45>0.35[/tex]
So, the box of Weetabix is heavier.
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Can someone help me answer this
Monday 4hours and 30minutes were worked
do 12-8 then take the thirty minutes and add it on to the difference
because that is the time she is working
happy to help plz mark brainliest
Solve: -4 (x + 6) + 2 ( x -2) Show your work
Answer:
-2x - 28
Step-by-step explanation:
-4(x+6) +2 (x-2) Distribute the -4 to (x+6) and the 2 to (x-2):
-4x - 24 + 2x - 4 Combine like terms -4 + 2x and -24-4:
-2x - 28
Hope this helped :)
Answer:
Please see explanation.
Step-by-step explanation:
-4(x+6) + 2(x-2) First, distribute the -4 to x+6
-4x - 24 + 2(x-2) Now distribute the 2 into x-2
-4x - 24 + 2x - 4 Combine like terms
-4x + 2x - 24 - 4
-2x - 28 This might be your answer but if you are looking for what x is equal to then keep following along.
If you are solving for x then most likely the equation says that it is equal to zero
-2x - 28 = 0 Add 28 to both sides
-2x = 28 divide both sides by -2
x = -14