Answers
Answer:
Step-by-step explanation:
4). Given functions are,
[tex]f(x)=\frac{1}{3x}[/tex]
For [tex]x=\frac{1}{12}[/tex]
[tex]f(\frac{1}{12})=\frac{1}{3(\frac{1}{12})}[/tex]
[tex]=\frac{1}{\frac{1}{4}}[/tex]
[tex]=1\times\frac{4}{1}[/tex]
[tex]=4[/tex]
[tex]g(x)=\frac{1}{x^2}[/tex]
For [tex]x=\frac{1}{5}[/tex],
[tex]g(\frac{1}{5})=\frac{1}{(\frac{1}{5})^2}[/tex]
[tex]=\frac{1}{\frac{1}{25}}[/tex]
[tex]=25[/tex]
[tex]f(\frac{1}{12})-g(\frac{1}{5})=4-25[/tex]
[tex]=-21[/tex]
5). f(x) = -2x² + 3x - 8
f(k + 4) = -2(k + 4)² + 3(k + 4) - 8
= -2(k² + 8k + 16) + 3(k + 4) - 8
= -2k² - 16k - 32 + 3k + 12 - 8
= -2k² - 13k - 28
Related Questions
A candy company wants to create a wrap around label for a candy bar which will go around the candy bar. The candy bar is in the shape of a triangular prism where the triangle is an isosceles triangle. The company packages 24 candy bars in each case. How many square centimeters of paper will be needed to create labels for a case of candy bars?
Answers
Answer:
b
Step-by-step explanation:
a stack of 20 identical boxes is 140cm tall Stefan takes 3 boxes of the top how tall Is the stack now
Answers
Answer:
119 cm
Step-by-step explanation:
20 - 3 = 17
(140/20)(17) = 119 cm
The following sample observations were randomly selected. x53634468y1315712131195 Click here for the Excel Data File Determine the coefficient of correlation and the coefficient of determination. Interpret the association between x and y. (Round your coefficient of determination to 4 decimal places. Round all other answers to 2 decimal places. Negative values should be indicated by a minus sign.)
Answers
Answer:
R = -0.8908
R² = 0.7935
Step-by-step explanation:
Given the data:
X :
5
3
6
3
4
4
6
8
Y :
13
15
7
12
13
11
9
5
Using technology, we could obtain the correlation Coefficient (R) using the Pearson correlation Coefficient calculator :
R = -0.8908 ; This means that there is a strong negative relationship between x and y. That is, an increase in x will lead to a corresponding decrease in y and vice versa.
The Coefficient of determination (R²) ; is obtained by taking the squared value of R
R² = (-0.8908)² = 0.7935 ; This means that about 79.35% of the variation is y is explained by the regression line.
Which expression uses the associative property to make it easier to evalute?
Answers
Answer:
The correct option is (c).
Step-by-step explanation:
The given expression is :
[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})[/tex]
We need to use the associative property to make it easier.
The associative property for multiplication is as follows :
[tex]A\times (B\times C)=(A\times B)\times C[/tex]
We have,
[tex]A=14, B=\dfrac{3}{2}\ and\ C=\dfrac{1}{4}[/tex]
[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})=(14\times \dfrac{3}{2})\times \dfrac{1}{4}[/tex]
Hence, the correct option is (c).
Use the table to work out the values of a, b, c, and d.
20
= 22 + 3
2
_3
2
2
a
1
b
0
-2
1
2
2
с
3
d
a =
b =
с
= d
Answers
Step-by-step explanation:
Determine which of the following ordered pairs satisfies the given system of equations.
{−2x+y=8y=2x5−8
Answers
Answer:
(-3,2)
Step-by-step explanation:
what is the answer ?
640
240
300
and 320
Answers
Step-by-step explanation:
10±10±30±30=80
8round = 80×8=640
don't forget me to followExplanation :
P=(l+b)
l=30
b=10
so,P = 80
The rabbit have covered the field 8 times
So, it is 8x80=640
Hence the answer is 640
What is the perimeter of the rectangle? 7cm 7cm 5cm 5cm
O 22 centimeters
O 24 centimeters
O 26 centimeters
O 28 centimeters
Answers
Answer:
24 centimeters
Step-by-step explanation:
7 + 7 + 5 + 5 = 24
have a nice day :)
Record the data in a table with the rows representing the type of music and the columns representing the weeks.
What number does element a12 represent?
90
100
150
200
Answers
Answer:
150
Step-by-step explanation:
The element a₁₂ represents the first row and second column which is 100. Then the correct option is B.
What is a histogram?A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.
A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.
Record the data in a table with the rows representing the week and the columns representing the type of music.
The element a₁₂ represents the first row and second column which is 100. Then the correct option is B.
More about the histogram link is given below.
https://brainly.com/question/16819077
#SPJ2
6.Suppose the Gallup Organization wants to estimate the population proportion of those who think there should be a law that would ban the possession of handguns. In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law. How large a sample size is needed to be 95% confident with a margin of error of E
Answers
Answer:
A sample of [tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex] is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.
This means that [tex]n = 1012, \pi = \frac{374}{1012} = 0.3696[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How large a sample size is needed to be 95% confident with a margin of error of E?
A sample size of n is needed, and n is found when M = E.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}[/tex]
[tex]E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex]
[tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex]
A sample of [tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex] is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.
Subtract the product of 5 and 8 from 50.
HOW DO I WRITE THIS IN A NUMERICAL EXPRESSION?
Answers
Answer:
50-(5×8)
Step-by-step explanation:
brainliest please
x root +29= root 4096
Answers
Square root of x +29=64
Square root of x=35
To find x you add an exponent on both sides
X=1225
There was a total of 184 teachers and students at an archery lesson.
3/4
of the teachers is equal to of the students.
2/5
How many teachers were there at the archery lesson?
Answers
Anybody know the answer to this problem be correct
Answers
Answer:
28 out of 40
2(20 - x)/40 for x questions wrong
Step-by-step explanation:
total points: 40
total Qs: 20
20-6 = 14
14/20 = 28/40
28
James has 16 more game cards than Fay. If they have 48 game
cards altogether, find the number of game cards James has.
Answers
Answer:
James has 32 game cards
Step-by-step explanation:
X=Fay
x+16=James
X(Fay) + (x+16) James =48
x+x+16=48
2x=32
x=16 Fay
x+16 James
16 + 16=32 James
check answer:
16 Fay + 32 James =48
16+32=48
48=48
ILL GIVE BRAINLEST Determine whether the two angles in each figure are complementary, supplementary, or neither
Answers
Answer:
Step-by-step explanation:
If the sum of two angles = 180°
Then the pair of angles will be supplementary.
If the sum of two angles = 90°
Then the pair of angles will be complementary.
Sum of angles having measures 98° and 82° = 98° + 82°
= 180°
Therefore, both the angles will be supplementary.
Sum of angles having measures 134° and 36° = 134° + 36°
= 170°
Therefore, these angles are neither supplementary nor complementary.
So the answer is NEITHER.
Express 80 as the product of its prime factors.
Write the prime factors in ascending order.
Answers
We have four copies of '2' and one copy of '5' multiplied together
This is the same as saying 2^4*5
=========================================
Explanation:
Divide 80 over the smallest prime factor, which is 2
80/2 = 40
Divide that result over 2
40/2 = 20
Keep going until you cannot divide by 2 anymore
20/2 = 10
10/2 = 5
We stop here because 5/2 isn't a whole number. We also stop here since 5 is prime. Circle all the primes that show up and you should have four copies of 2 and one copy of 5.
Therefore: 2*2*2*2*5 = 80
In shorthand, this condenses to 2^4*5 = 80
The factor tree is shown below. Other factor trees are possible.
amelia used 6 liters of gasoline to drive 48 kilometers.
how many kilometers did amelia drive per liter?
at that rate, how many liters does it take to drive 1 kilometer?
Answers
LOOK AT THE IMAGES PLEASE! (IF YOU ARE RIGHT I WILL MARK YOU THE BRAINLIEST!)
Answers
Answer: B
Step-by-step explanation:
What’s the exact volume of the cone?
Answers
Answer:
3.......................
1. The prism below measures 6 inches x 3 inches x 10 inches. A diagonal
line, d, is drawn inside the prism. Find the length of the diagonal, d. *
HELP!!!!
Answers
Answer:
C. 12.04 inches
Step-by-step explanation:
Diagonal of a prism cam be solved using the extension of Pythagorean theorem which is given as:
d² = x² + y² + z²
x = 10 in.
y = 6 in.
z = 3 in.
d² = 10² + 6² + 3²
d² = 100 + 36 + 9
d² = 145
d = √145
d = 12.0415946
d = 12.04 inches (nearest hundredth)
Carol has 8 3/4 yards of material. She needs to use 1/3 of the material to make a dress. How many yard of material will she need to make the dress
Answers
9514 1404 393
Answer:
2 11/12 yards
Step-by-step explanation:
Sometimes it works best to use improper fractions when multiplying mixed numbers and/or fractions.
1/3(8 3/4) = 1/3(35/4) = 35/12 = 2 11/12
Carol will need 2 11/12 yards of the material for the dress.
Answer:
2 11/12 yards
Step-by-step explanation:
This is the other question but also you can use the letters that’s on the right side !!
Answers
Answer:
Chrome and camera. 1000 mistakes
Step-by-step explanation:
bvggifui good go you uuuu to yyytyyyyggyhgghhhghhhhhhhhhbbhvvvdf uh oh utgggy
What are the characteristics of a function and how can we identify them?
Answers
Answer:
A function is a mathematical relationship where all inputs must have exactly one output. If there is more then one output for one input, then the relationship is not a function.
x is most of the time the input and y the output for an equation:
y = 2x
of course the input and output could be any variable.
Step-by-step explanation:
Have a nice day!
Identify the output values.
If each input value leads to only one output value, the relationship is a function. An easy way to determine whether a function is a one-to-one function is to use the horizontal line test on the graph of the function. To do this, draw horizontal lines through the graph. If any horizontal line intersects the graph more than once, then the graph does not represent a one-to-one function.
ion: The mean annual tuition and fees in the 2013-2014 academic year for a sample of 13 private colleges in California was $38,000 with a standard deviation of $7900. A dotplot shows that it is reasonable to assume that the population is approximately normal. Can you conclude that the mean tuition and fees for private institutions in California is greater than $35,000? Use the =α0.01 level of significance and the critical value method with t
Answers
Answer:
The pvalue of the test is of 0.0979 > 0.01, which means that we cannot conclude that the mean tuition and fees for private institutions in California is greater than $35,000.
Step-by-step explanation:
Test if the mean tuition and fees for private institutions in California is greater than $35,000.
This means that at the null hypothesis we test if the fee is of $35,000 or less, that is:
[tex]H_0: \mu \leq 35000[/tex]
And at the alternate hypothesis, we test if it is more than this value, that is:
[tex]H_a: \mu > 35000[/tex]
The test statistic is:
As we have the standard deviation of the sample, the t-distribution is used.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
35000 is tested at the null hypothesis:
This means that [tex]\mu = 35000[/tex]
The mean annual tuition and fees in the 2013-2014 academic year for a sample of 13 private colleges in California was $38,000 with a standard deviation of $7900.
This means that [tex]n = 13, X = 38000, s = 7900[/tex]
Value of the test-statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{38000 - 35000}{\frac{7900}{\sqrt{13}}}[/tex]
[tex]t = 1.37[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of finding a mean above 38000, which is the pvalue of t = 1.37, with 13 - 1 = 12 degrees of freedom, using a one-tailed test.
With the help of a calculator, this pvalue is of 0.0979.
The pvalue of the test is of 0.0979 > 0.01, which means that we cannot conclude that the mean tuition and fees for private institutions in California is greater than $35,000.
Xavier needs to bike a minimum of 80 miles this week for his training. If he has already biked 14 miles this week, then how many miles should he bike on each of the 6 remaining days this week?
A. x ≥ 12
B. x ≥ 11
C. x ≤ 10
D. x ≥ 10
Answers
Answer:
B x >= 11
Step-by-step explanation:
80 miles total, 14 miles already done => 80-14=66 miles left.
66 miles distributed evenly across 6 days means 66/6=11
If 3x + 11 = 4x - 5, what is x?
Answers
Answer:
16v
Step-by-step explanation:
3x + 11 = 4x - 5
11+5 = 4x -3x
x = 16
I hope im right!!
First put the same variables on one side and remember to switch their signs
3x - 4x = -5 - 11
-1 x = -16
x = -16/-1
x = 16
?! if you make $20,800 a year, what is your weekly salary? there are 52 weeks in a year
Answers
Answer:
you would make 400 each week
Step-by-step explanation:
The sportswear department had net sales of $550,000 last year, with markdowns of $33,000. This year plan sales are
$575,000. If the buyer is planning the same percent of markdowns this year as last year, what is the plan markdown dollars
for this year?
Answers
Answer:
$34,500
Step-by-step explanation:
1% of 550,000 = 5,500
33,000÷ 5,500 = 6%
1% of 575,000 = 5,750
5,750 x 6 = 34,500
If θ is a second-quadrant angle and cosθ = - 2/3, then tanθ=
a. -2 (sqrt 5)/5
b. - (sqrt 5)/2
c. - (sqrt 5)/3
Answers
Answer:
since in second quadrant cos θ is negative.
Cos θ=b/h=2/3
b=2
h=3
p=√(3²-2²)
p=√5
Now
Tan θ=p/b=√5/2
since in second quadrant tanθ is negative
so
Tanθ=-√5/2
b. - (sqrt 5)/2
In second Quadrant cos is negative
cosØ=b/h=2/3So
b=2 and h=3
Perpendicular
p²=h²-b²p²=3²-2²p²=5p=√5tanØ=-p/b =-√5/2