Answer:
[tex]f(x)-g(x)=2x^2(1-x)[/tex]
Step-by-step explanation:
Given that,
[tex]f(x)=x^2\\\\g(x)=2x^3-x^2[/tex]
We need to find the value of f(x)-g(x).
Put the values of f(x) and g(x). So,
[tex]f(x)-g(x)=x^2-(2x^3-x^2)\\\\=x^2-2x^3+x^2\\\\=2x^2-2x^3\\\\=2x^2(1-x)[/tex]
So, the value of f(x)-g(x) is equal to [tex]2x^2(1-x)[/tex].
Given f(x) = 6(1-x), what is the value of f(-8)?
Answer:
7/3
Step-by-step explanation:
1x6
1x(-x)
subtract and solve
what is
4x + 6 = 8x − 10
Answer:
x=4
Step-by-step explanation:
4x+6=8x-10
6= 8x-10-4x
6=4x-10
6+10=4x
16=4x
16/4=x
4=x
x=4
Answer:
x = 4
Step-by-step explanation:
Subtract 8x from both sides.
4x + 6 - 8x = 8x - 10 - 8x
−4x + 6 = −10
Subtract 6 from both sides.
−4x + 6 − 6 = −10 − 6
−4x = −16
Divide both sides by -4.
[tex]\frac{-4x}{-4} = \frac{-16}{-4}[/tex]
x = 4
Mark as Brainllest plz
520 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 4 hours. How long would it be, to the nearest tenth of an hour, until there are 33980 bacteria present?
Answer:
24.1
Step-by-step explanation:
Mr. Bryant earns $32 per hour. He regularly works 40 hours per week. If he works 26 overtime hours (at time- and-a-half), would his overtime pay exceed his regular gross pay? Explain your answer.
Using an applet, we found that the theory-based test results in a t-statistic of -7.25 and p-value less than 0.0001. State your conclusion in the context of the study.
a. We have very strong evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is smaller with the anchor of Chicago than with the anchor of Green Bay.
b. We have very strong evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is smaller with the anchor of Green Bay than with the anchor of Chicago.
c. We have very weak evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is larger with the anchor of Green Bay than with the anchor of Chicago.
d. We have very weak evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is larger with the anchor of Chicago than with the anchor of Green Bay.
Answer:
b. We have very strong evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is smaller with the anchor of Green Bay than with the anchor of Chicago.
Step-by-step explanation:
Smaller p-value indicates a strong evidence in favor of the alternative hypothesis which means we can reject the null hypothesis. In the given scenario the p-value is 0.0001 which is very small. There is sufficient evidence for the rejection of null hypothesis.
The sum of −7 times a number and 8 times the sum of the number and 1 is the same as the number minus 7.
Answer:
n has no value.
There is no solution to this equation
Step-by-step explanation:
let n be the number
In pieces:
sum of the number and 1: (n + 1)
8 times the sum: 8(n + 1)
-7 times a number: -7n
sum of -7 times and...: -7n + 8(n + 1)
number minus 7: n - 7
the same as: =
All together:
-7n + 8(n + 1) = n - 7
-7n + 8(n+1)=n-7
-7n + 8n+8=n-7
0=-15
factor by grouping 20i^3-25i^2+4i-5
Evaluate the indicated limit algebraically. Change the form of the function where necessary. Please write clearly with description of each step, thank you very much.
3x^2+4.5
________
x^2-1.5
lim
x → ∞
Answer:
[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3[/tex]
Step-by-step explanation:
We want to evaluate the limit:
[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}[/tex]
To do so, we can divide everything by x². So:
[tex]=\displaystyle \lim_{x\to \infty}\frac{3+4.5/x^2}{1-1.5/x^2}[/tex]
Now, we can apply direct substitution:
[tex]\Rightarrow \displaystyle \frac{3+4.5/(\infty)^2}{1-1.5/(\infty)^2}[/tex]
Any constant value over infinity tends towards 0. Therefore:
[tex]\displaystyle =\frac{3+0}{1+0}=\frac{3}{1}=3[/tex]
Hence:
[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3[/tex]
Alternatively, we can simply consider the biggest term of the numerator and the denominator. The term with the strongest influence in the numerator is 3x², and in the denominator it is x². So:
[tex]\displaystyle \Rightarrow \lim_{x\to\infty}\frac{3x^2}{x^2}[/tex]
Simplify:
[tex]\displaystyle =\lim_{x\to\infty}3=3[/tex]
The limit of a constant is simply the constant.
We acquire the same answer.
Solve for x and y:
Ty– 5x = 45
x = 8 - 2y
O x = 5, y = 10
O x = 5, y = -2
x = -2, y = 5
O x = 4, y = 2
Answer:
x = -2
y = 5
Step-by-step explanation:
7y - 5x = 45 -------------------(I)
x = 8 - 2y -----------------------(II)
Substitute x = 8 - 2y in equation (II)
7y - 5(8-2y) = 45
7y + 8 *(-5) - 2y*(-5) = 45
7y - 40 + 10y = 45
17y - 40 = 45
17y = 45 + 40
17y = 85
y = 85/17
y = 5
Plugin y = 5 in equation (II)
x = 8 - 2*5
x = 8 - 10
x = -2
The following 5 questions are based on this information: An economist claims that average weekly food expenditure of households in City 1 is more than that of households in City 2. She surveys 35 households in City 1 and obtains an average weekly food expenditure of $164. A sample of 30 households in City 2 yields an average weekly expenditure of $159. Historical data reveals that the population standard deviation for City 1 and City 2 are $12.50 and $9.25, respectively.
Required:
At the 5% significance level, is the economist claim supported by the data?
Answer:
>> Null hypothesis; H0: μ1 - μ2 ≥ 0
Null hypothesis; Ha: μ1 - μ2 < 0
>> z = 1.85
>> p-value = 0.03
>> there is evidence sufficient to reject the claim that average weekly food expenditure of households in City 1 is more than that of households in City 2.
The economist claim is not supported by data.
Step-by-step explanation:
We are given;
Sample mean of city 1; x1¯ = 164
Sample mean of city 2; x2¯ = 159
Sample size of city 1; n1 = 35
Sample size of city 2; n2 = 30
Standard deviation of city 1; σ1 = 12.5
Standard deviation of city 2; σ2 = 9.25
Let's define the hypotheses;
Null hypothesis; H0: μ1 - μ2 ≥ 0
Null hypothesis; Ha: μ1 - μ2 < 0
Test statistic which is the z-score Formula between 2 mean is;
z = ((x1¯ - x2¯) - 0)/√((σ1)²/n1) + ((σ2)²/n2))
z = (164 - 159 - 0)/√((12.5²/35) + (9.25²/30))
z = 5/2.705
z = 1.85
From online p-value from z-score calculator attached, using z = 1.85, one tailed, significance value of 0.05, we have;
p-value = 0.03
The p-value is less than the significance value, and so we will reject the null hypothesis and conclude that there is evidence sufficient to reject the claim that average weekly food expenditure of households in City 1 is more than that of households in City 2.
Which of the following can be determined exactly from a histogram? A. mean B. median O C. MAD D. none of these
The midpoint of the tallest bar of the histogram is the mode of the data point.
What is a histogram?Graph is a graphical representation that shows the relationship between a group of points. Types of graphs are histogram, bar chart, pie chart etc.
A histogram is a graphical representation that arranges a group of data points into specific ranges.
The midpoint of the tallest bar of the histogram is the mode of the data point.
Find out more on histogram at: https://brainly.com/question/2962546
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What is the radius of a hemisphere with a volume of 757 cm", to the nearest tenth of
a centimeter?
Answer:
r = 7.1 cm
Step-by-step explanation:
Given the following data;
Volume of hemisphere = 757 cm³
To find the radius of the hemisphere;
Mathematically, the volume of a hemisphere is given by the formula;
Volume of hemisphere = ⅔πr³
Where, r is the radius of the hemisphere.
π = 22/7
Substituting into the formula, we have;
757 = ⅔πr³
Cross-multiplying, we have;
757 * 3 = 2πr³
2271 = 2*22/7*r³
2271 = 44/7*r³
Cross-multiplying, we have;
2271 * 7 = 44r³
15897 = 44r³
r³ = 15897/44
r³ = 361.30
Taking the cube root of both sides, we have;
r = 7.1223
To the nearest tenth of a centimeter;
r = 7.1 cm
During second period, Mia completed a grammar worksheet. Of the 60 questions, Mia got 80% right. How many questions did Mia get right?
Answer:
48 questions
Step-by-step explanation:
60 into 80 by 100
60 x 80/100
simplify, hence 60 x 4/5
240 divided by 5 = 48
: )
The number of questions Mia get right is 48 questions.
What is a percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
For the given situation,
Total number of questions = 60
Percentage of questions Mia got completed right = 80% = 0.80
Thus number of questions Mia get right = [tex](60)(0.80)[/tex]
⇒ [tex]48[/tex]
Hence we can conclude that the number of questions Mia get right is 48 questions.
Learn more about percentages here
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50 points) please help! no links, brainliest, extra points.
I understand if you need points, you can go to my old questions and answer them for points, please only answer if your 100% sure you're correct. I've redone this over 20 times, asked over 50, and failed all those times. thank uu.
Any non-integer answers in this problem should be entered as decimals rounded to the tenth.
Duncan surveyed 10 people to see how many hours per week they exercise. The results are listed below.
18, 13, 20, 14, 12, 6, 11, 5, 15, 10
Use the data set to complete the sentences.
The interquartile range of the data set is _____.
The mean absolute deviation of the data set is _____.
Step-by-step explanation:
interquartile range = 5
.
The mean absolute deviation = 3.6
.
hope this gonna help !
Answer:
range = 15
IQR= 5
mean absolute deviation = 3.6
1st quartile = 10
median= 12.5
3rd quartile = 15
Which expressions are equivalent to the given expression?v252
Answer:
a and b
Step-by-step explanation:
hi!
which equation is graphed here?
Answer:
The equation would be y = -3/2x - 1
Step-by-step explanation:
The slope is -3/2 and the y-intercept is -1.
a student needs to fill a 12 gallon fish tank. The student has a container that holds 1/3 gallon of water. how many times will the student need to fill the container with water in order to fill the fish tank completely
write 10075302 in words in both the Indian system and international system and rearrange the digits to get the smallest number
Answer:
answer
Step-by-step explanation:
1,00,75,302= One crore seventy five thousand three hundred two
Rearranging the digits,
Largest number = 7,53,21,000
Smallest number = 1,00,02,357
James wanted to fence in his backyard for his dog Remi. The yard has a length of 12 feet and a width of 4 feet. What is the area and perimeter of the fenced yard?
A= P =
Answer:
The area of the fenced yard is 48 feet sq. and the perimeter is 32 feet.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
7. Logan can type 45 words in 2 minutes. Ebony can type 22 words in 45 seconds. Who
types slower?
Answer:
Ebony can type faster at 58.6 words per 2 minutes
Step-by-step explanation:
What single percentage change is equivalent to a 11% decrease followed by a 13% decrease?
Answer:
77.43% decrease
Step-by-step explanation:
A decrease of 11% = (100 - 11)% = 89% = [tex]\frac{89}{100}[/tex] = 0.89
A decrease of 13% = (100 - 13)% = 87% = [tex]\frac{87}{100}[/tex] = 0.87
A 11% decrease followed by a 13% decrease has an overall change of
0.89 × 0.87 = 0.7743 × 100% = 77.43%
Can someone please help
Answer:
The answer is 12 times
Step-by-step explanation:
6 x 12 = 72
112 - 72 = 40
40/5 = 8
12 + 8 = 20 times
so the answer is 12 ;)
CAN SOMEONE PLEASE ANSWER THIS FOR ME
Ani do niot know lol
Step-by-step explanation:
Answer:
J. 20ft
Step-by-step explanation:
1 2/3 = 5/3
5/3 * 12/1 = 60/3
60/3 = 20
PLEASE HELP !! ILL GIVE BRAINLIEST !! Ohh
Answer: Angle VUW and QRP are alternate exterior angles.
They are both exterior and are on alternate sides of the transversal.
Hope this helps!
Tracy is trying to justify a step in her paragraph proof. What is the property that she should use?
ABAB
1)Transitive Property of
Congruence
2)Symmetric Property of
Congruence
3)Reflexive Property of Congruence
4)Equality of Congruence Property
Answer:
The reflexive property of congruence
Step-by-step explanation:
This property says that an object is congruent to itself.
SolveABC where a = 11,6 = 13, &c = 15.
Answer: ABC = 2145
Step-by-step explanation:
11x13x15=2145
Answer:
whatever wawnser gimme brainliest
And 50% what is the answer please help no links no links
What is the difference/ ratio of the numbers 6.25, 25, 100, 400,
BRAINLIESTT!!
13POINTS
A construction crew built 1/2 miles of road in 1/4 days.
What is the unit rate in miles per day?
Write your answer in simplest form.
Answer:
2
Step-by-step explanation:
1/2 x 4 = 2
No problem :) remember to give me brainliest :0
Answer:
2 miles per day
Step-by-step explanation:
First make sure they both have a common denominator.
1/2=2/4miles per 1/4 of a day
You multiply both by 4.
This gives you a ratio of 2:1
2 miles per day
HELP By Today
Please
The number of permutations of 5 objects taken 2 at a time is P(5,2). The value of
5!
P(5,2) could be found by applying 5P2=
(5 – 2)
What is the value of P(5,2)?
A-60
B-20
C-6
D-120
Answer:
20
Step-by-step explanation: