Answers
We will have the following:
[tex](g\circ f)(x)=2(4x+3)\Rightarrow(g\circ f)(x)=8x+6[/tex]
Related Questions
Mrs. Taylor caught 6 bats in her attic in 12
minutes. How long would it take to catch 5 bats?
Answers
Find three rational numbers between (-6) and (-7)
Answers
Answer: Option (b) 21:18, option(c) 42:36, option(d) 63:54, option(e) 84:62 are equivalent ratios of 7:6
Step-by-step explanation: Hope this helped
Answer: -6 1/4, -6 9/10, -6 11/20
Step-by-step explanation: You find any number in decimals between them, then you covert into fractions if needed.
Laura needs to buy chips and soda for the guests at her party. Each large bag of chips cost $2.40 and each large bottle of soda cost $2.00. She has $48.00 to spend. Part A Create an inequality using two variables to represent this situation. Be sure to explain the meaning of each variable.Part B Which of the following graphs represent the number of chips and soda bottles that Laura can buy? Part C Which combination of bottles of soda and bags of chips can Laura buy?
Answers
Part A.
To write the inequality we have to introduce variables that represent the things Laura needs to buy. For this reason let x be the number of sodas she buys and let y be the number of chips she buys.
Now, we know that each bag of chips cost $2.40 then tha ammount she spends in chips will be
[tex]2.4y[/tex]Following the same reasoning, the ammount she spends in sodas will be
[tex]2x[/tex]The total ammount she spends will be the sum of each ammount, that is:
[tex]2x+2.4y[/tex]Finally, we know that Laura has $48, so she can only spend less or equal this ammount.
Therefore the inequality representing this situation is
[tex]2x+2.4y\leq48[/tex]Part B.
To graph this inequality, first we have to graph the line given by
[tex]2x+2.4y=48[/tex]Doing this we obtained the following graph
Now we need to decide which semi plane represent the solution set of the inequality. Since we have a less or equal sign the right choice is the left one, then the graph of the inequality is
Therefore the graphs representing the number of chips and soda bottles Laura can buy is option B.
Part C.
To determine which combination of bottles of soda and chips Laura can buy we can graph the options we have. Remember that the x-axis represents the soda and the y-axis the chips. Hence the option we have will be equivalent to the points (4,24), (12,8), (16,8) and (28,4). Graphing this points we have
The only option allowed is the one that lies within the shaded region, therefore Laura can buy 12 bottles of soda and 8 bags of chips.
Graph the system of equations.{8x+8y=642x−2y=−4} Use the Line tool to graph the lines.
Answers
Given,
The equation of system is,
8x+8y=64
2x−2y=−4
The graph of the equation is,
Hence, the graph of the system is obtained.
Find the simple interest.Principal: $6000 Rate: 4% Time in months: 3
Answers
Given:
Principal, P = 6000
Rate, r = 4%
Time, t = 3 months
To find:
The simple interest
Explanation:
Using the simple interest formula,
[tex]SI=P\times\frac{r}{100}\times\frac{t}{12}[/tex]Where t represents the number of months.
On substitution, we get
[tex]\begin{gathered} SI=6000\times\frac{4}{100}\times\frac{3}{12} \\ SI=\text{ \$}60 \end{gathered}[/tex]Final answer:
The simple interest is $60.
On a standardized test, the mean is 38 and the standard
deviation is 4.5. Approximately what percent of the scores
fall in the range 29-47?
Answers
The percentage of scores that fall in the range 29-47 is of 95%.
Empirical RuleThe Empirical Rule states that, for a normally distributed random variable:
The percentage of scores within one standard deviation of the mean is 68%.The percentage of scores within two standard deviations of the mean is 95%.The percentage of scores within three standard deviations of the mean is 99.7%.In the context of this problem, the mean and the standard deviation of scores are given as follows:
Mean = 38.Standard deviation = 4.5.Hence the range of 29 to 47 is within two standard deviations of the mean, as 38 - 2 x 4.5 = 29 and 38 + 2 x 4.5 = 47, meaning that the percentage of scores that fall in the range is of 95%.
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4. Which expression represents the area of arectangle where the length is 9 and thewidth is 3x - 8.A. 27x - 8B. 24x - 16C. 27x - 72D. 12x - 8
Answers
Area of a rectangle = length x width
A = 9 (3x-8)
A = 9(3x) + 9(-8)
A= 27x - 72
Find the area of this figure. [?] square meters 6 m 6 m 12 m 9 m
Answers
The area of this figure is 89 m².
What is the area of a rectangle?
The territory a rectangle occupies inside its four sides or limits is known as its area. A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.
Mathematically, Area of a rectangle = length*breadth = l*b -(i)
What is the area of a triangle?
The territory a triangle occupies inside its three sides or limits is known as its area. A triangle's sides determine its area. In essence, the length and base of the rectangle multiplied together with 0.5 gives the area of the triangle.
Mathematically, Area of a triangle = 0.5*height*base = 0.5*h*b -(ii)
r
Given, the length of the rectangle = l = 8 m
The breadth of the rectangle = b = 13 m
Area of the rectangle = 8*13 = 104 m² [Using (i)]
Also, the base of the triangle = b = 13 - 4 -4 = 5 m
The height of the rectangle = h = 6 m
Area of the triangle = 0.5*5*6 = 15 m²
Therefore, area of the shaded region = Area of the rectangle - Area of the triangle = (104 - 15) = 89 m²
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Find m BDC. B C (-3x + 20° { (-2x + 55) ° D А a. 290 b. 61° c. 25° d. 759
Answers
Let's begin by listing out the information given to us:
We will observe that these two angles are complementary (they sum up to 90 degrees)
[tex]\begin{gathered} m\angle BDC=-3x+20 \\ m\angle CDA=-2x+55 \\ m\angle BDC+m\angle CDA=90^{\circ} \\ -3x+20+(-2x+55)=90 \\ \text{Put like term}s\text{ together, we have:} \\ -3x-2x+20+55=90 \\ -5x+75=90 \\ Subtract\text{ 75 from both sides, we have:} \\ -5x+75-75=90-75 \\ -5x=15 \\ \frac{-5x}{-5}=\frac{15}{-5} \\ x=-3 \\ \\ m\angle BDC=-3x+20=-3(-3)+20 \\ m\angle BDC=9+20=29 \\ \therefore m\angle BDC=29^{\circ} \end{gathered}[/tex]Hence, option A is the correct answer
4x^2-36 is divided by x+3
Answers
[tex] \frac{4 {x}^{2} - 36 }{x + 3} \\ = \frac{4( {x}^{2} - 9)}{x + 3} \\ = \frac{4(x + 3)(x - 3)}{x + 3} \\ = 4(x - 3) \\ = 4x - 12[/tex]
NOTE THE x+3 in the numerator cancels with the x+3 in the denominator.
HELP PLEASEEEEEEEEE!!!!!!!! ILL MARK BRAINLIEST
Answers
Answer:
Step-by-step explanation:
here are is answer and the steps it's in the pic below go check it out sorry if it's wrong have a nice day:)
Let U={1, 2, 3, 4, 5, 6, 7}, A={4, 5, 6, 7}, and B={3, 4, 7}. Find the set A' ∩ B'.
Answers
The intersection between the complements of A and B is:
A' ∩ B' = {1, 2}
How to find the intersection?
We have the sets:
A={4, 5, 6, 7}
B={3, 4, 7}
And we want to find the intersection between the complements, where the complements are all the elements that are in the universal set and not are in the given sets, so:
A' = {1, 2, 3}
B'= {1, 2, 5, 6}
The intersection between two sets is the set of the common elements, so we have:
A' ∩ B' = {1, 2}
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312p - 2) 16) -10n + 31 ap-2=40-8x6pto lapto 9p+uptop=-8+6+2 P20/19=0 17) 10(x + 3) - (-9x - 4) = x - 5+ 3 18) 12
Answers
Answer:
x = -2
Explanation:
The initial expression is:
10( x + 3) - ( -9x - 4) = x - 5 + 3
To solve for x, we first need to apply the distributive property as:
10x + 10(3) -(-9x) - (-4) = x - 5 + 3
10x + 30 + 9x + 4 = x - 5 + 3
Then, add the like terms to get:
(10x + 9x) + (30 + 4) = x + (-5 + 3)
19x + 34 = x - 2
Subtract x from both sides:
19x + 34 - x = x - 2 - x
18x + 34 = -2
Subtract 34 from both sides:
18x + 34 - 34 = -2 - 34
18x = -36
Finally, divide both sides by 18:
18x/18 = -36/18
x = -2
Therefore, the answer is x = -2
Petroleum pollution in oceans stimulates the growth of certain bacteria. An assessment of this growth has been made by counting the bacteria in each of 6randomly chosen specimens of ocean water (of a fixed size). The 6 counts obtained were as follows.48, 67, 64, 61, 63, 69Send data to calculatorFind the standard deviation of this sample of numbers. Round your answer to two decimal places.
Answers
σ =6.78
Count, N:6
Sum, Σx:372
Mean, μ:62
The standard deviation(σ) can be calculated using the formula below:
[tex]\sigma=\sqrt[]{\frac{1}{N}\sum ^n_{i=1}(x_i-\mu)^2}[/tex]To calculate Mean( μ);
[tex]\text{Mean}=\frac{48+67+64+61+63+69}{6}[/tex]Mean( μ) = 62
[tex]\sigma=\sqrt[]{\frac{(48-62)^2+(67-62)^2+(64-62)^2+(61-62)^2+(63-62)^2+(69-62)^2}{6}}[/tex][tex]=\sqrt[]{\frac{276}{6}}[/tex][tex]=\sqrt[]{46}[/tex][tex]=6.78[/tex]Therefore, the standard deviation(σ) = 6.78
Evaluate the expression when c= -5.
c^2+ 6c-9
Answers
-5^2 + 6(-5) - 9
The answer should be -64.
The equation to find the constant of proportionality or k is?
2K = Y + X
Y = 2K + X
None of the above
K = Y / X
Answers
The equation to find the constant of proportionality or k is K=Y/X.
The value of the ratio between two proportional quantities, known as the constant of proportionality, is constant. When the product or ratio of two changing amounts gives a constant, that relationship is said to be proportionate. Depending on the kind of proportion between the two specified quantities—direct variation or inverse variation—the proportionality constant's value will vary.
When two variables are proportional to one another either directly or indirectly, their relationship can be expressed as y = kx or y = k/x, where k specifies how the two variables are related to one another. This k is referred to as the proportionality constant.
Hence the equation to find the constant of proportionality or k is
K = Y/X
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I need help solving this practice, I will send an additional picture of the actual problem itself
Answers
The multiplicities of the zeros are how many times that factor appeared in the factored form of a polynomial function.
If the multiplicities are even, then they are tangent to the x-axis
So, the graph is tangent to x at -6
If the multiplicities are odd, then they cross while hugging the x-axis.
So, the graph of the function crosses while hugging the X-axis at 1
And the graph crosses through at the values with no multiplicities, which are 0 and 4
So, the answers are:
a) Is tangent to
b) Crosses straight through
C) Crosses through whle hugging
d) Crosses straight through
A car rental company charges $15 per day and $0.55 per kilometer to rent a car. What is the total bill if a car is rented for 4 days and is driven 146 kilometers? Andy how would I solve it
Answers
Answer:
$140.30
Step-by-step explanation:
The best way to solve this is to make an equation.
y = 15x + 0.55k
In simple terms this is:
Total = $15(number of days) + $0.55(Number of kilometers)
Plug in the values
15(4) + 0.55(146)
60 + 80.3
140.3
Since this is dollars it would $140.30!
Hope this explanation was good enough.
Answer: $140.30 is the total bill
Step-by-step explanation:
First, you would time 15 by 4 to get the price for the number of days you have rented the car. Which is $60
Now times $0.55 by 146 to get the price for the kilometers you have driven. Which is $80.30
Add both $60 and $80.30
The total bill is $140.30
0.5 is the coefficient of ² in the expression v + 0.5v²
A True
B False
Answers
True, 0.5 is the coefficient of v² in the expression v + 0.5v².
What is a Coefficient?A coefficient is a number or quantity related to a variable. It is usually an integer multiplied by the variable and displayed next to it. Variables that do not have a numerical value are assumed to have a coefficient of one. A coefficient might be positive or negative, real or imaginary, and expressed in decimals or fractions.Given expression is v + 0.5v².
Follow the methods below to find the coefficient of a variable in a term:
Step 1: Encircle the variable and its power whose coefficient we're looking for.
So here we are looking for the coefficient of v²
Step 2: Forget about that variable and think about all the other numbers or variables that were written with it. That is the coefficient.
Hence, the required coefficient is 0.5.
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find the volume of the figure below (hint: you may need to find 2 separate volumes and combine them)
Answers
The shape consist of a cone and a cylinder
As such the volume of the shape is the sum of the volume of the two shapes.
The volume of a cone is given as
V = 1/3 Pi R^2H
and that of a cylinder is
V = Pi R^2H
where Pi is a constant 22/7, R is the radius and H is the height
Hence the volume of the figure
=1/3 * 22/7 * 6^2 * 10 + 22/7 * 6^2 * 12
= 22/7 (120 + 432)
= 22/7 * 552
= 1734.86 m^2
Hello it’s a 4 part question I just need help however I can only post one picture at a time
Answers
Answer:
Part a:
0% 3000
5% 3646.51
10% 5247.02
20% 6220.8
Explanation:
Part a:
We need to evaluate the function in the r values given:
If the rate is 0% then r = 0
[tex]S=3000(1+0)^4=3000[/tex]If the rate is 5%, then r = 0.05
[tex]S=3,000(1+0.05)^4\approx3646.51[/tex]If the rate is 10%, then r = 0.1
[tex]S=3,000(1+0.1)^4=4392.3[/tex]If the rate is 15%, then r = 0.15
[tex]S=3,000(1+0.15)^4=5247.02[/tex]If the rate is 20%, then r = 0.2
[tex]S=3,000(1+0.2)^4=6220.8[/tex]A junk drawer at home contains eight pens for of which work what is the probability that you randomly grab three pens from the drawer and don’t end up with a Penn that works express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth
Answers
Given:
Total no of pens is 8.
No of pens that works =4
No of pens that don't work = 4
[tex]\text{Probability }of\text{ selecting 3 pens }from\text{ the drawer=}\frac{3}{8}[/tex][tex]\text{Probability of selecting }a\text{ pen thta don't work=}\frac{4}{8}[/tex][tex]\begin{gathered} \text{Probability of getting 3 pens from a drawer }and\text{ don't} \\ \text{ end up with a pen }that\text{ work is } \end{gathered}[/tex][tex]=\frac{3}{8}\times\frac{4}{8}[/tex][tex]=\frac{3}{16}[/tex][tex]=0.1875[/tex]
If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability of getting two queens and two kings.
Answers
If you are dealt 4 cards from a shuffled deck of 52 cards, the probability of getting two queens and two kings is: 0.000133.
ProbabilityNumber of ways to get two of the four queens = 4C2 = 6 ways
Number of ways to get two of the four kings = 4C2 = 6 ways
Number of ways to get none of the deck = 48C0 = 1 way
Hence,
Number of ways to get four cards = 6 x 6 x 1
Number of ways to get four cards = 36 ways
Number of ways 4 cards can be chosen from 52 cards = 52C4 = 270725 ways
So,
Probability = 36 ways / 270725 ways
Probability = 0.0001329
Probability = 0.000133 (Approximately)
Therefore the probability is 0.000133.
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1+1dynzg sfbstjstjstjj
Answers
equation
[tex]\frac{2342424}{456546456}+\sqrt[34535345]{4r3535}-\sin 453\sin ^{-1}43535\cos ^{-1}5345678^{76867}\int ^{\infty}_086\int 6878\sqrt[7686786]{78767\text{ }e^{655757\begin{cases}x=75665 \\ y=5345346363\gamma\end{cases}}}[/tex]At take-off, an airplane weighs 220000 pounds. Convert the weight to tons.
Answers
220000 pounds.
[tex][/tex]The final answer
[tex]110[/tex]help meeee pleasee!!!
thank youu
Answers
Answer:
Domain: A, [1, 7]
Range: [-4, 2]
Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
Write 7,250,000,000 in scientific notation.
Answers
Answer: 7.25 ×10^9
There are 9 digits after the first number (7), so 10 is raised to the power of 9
use the figure at right. if jk=6x+8 and NO=16, what is the value of x?
Answers
The short line on the sides of the triangle tells us that those sides are equal.
We can see that LN = NJ and
LO = KO
This means that triangle LNO is similar to triangle triangle LJK
LO/NO = (LO + OK)/JK
Given that NO = 16 and JK = 6x + 8, it means that
LO/16 = (LO + OK)/(6x + 8)
Since LO = OK, it means that
LO + OK = LO + LO = 2LO
Therefore
LO/16 = 2LO/(6x + 8)By cross multiplying, it becomes
LO(6x + 8) = 2LO * 16
LO(6x + 8) = 32LO
Dividing both sides of the equation by LO, it becomes
6x + 8 = 32
6x = 32 - 8
6x = 24
x = 24/6
x = 4
[tex] \frac{3}{2} ln( {4x}^{6} ) - \frac{4}{5} ln( {2m}^{5} ) = [/tex]how do I do this
Answers
Original expression
[tex]\frac{3}{2}\ln 4x^6-\frac{4}{5}\ln 2m^5[/tex][tex]\begin{gathered} \frac{3}{2}\ln 4x^6-\frac{4}{5}\ln 2m^5 \\ \ln (4x^6)^{\frac{3}{2}}-\ln (2m^5)^{\frac{4}{5}}^{} \end{gathered}[/tex][tex]\begin{gathered} \ln (4^{3/2}x^{6\cdot3/2})-\ln (2^{4/5}m^{5\cdot4/5}) \\ \ln (2^{2\cdot3/2}x^9)-\ln (2^{4/5}m^4) \\ \ln (2^3x^9)-\ln (2^{4/5}m^4) \end{gathered}[/tex][tex]\begin{gathered} \ln (\frac{2^3x^9}{2^{4/5}m^4}) \\ \ln (\frac{2^{11/5}x^9}{m^4}) \end{gathered}[/tex]The answer would be
[tex]\ln (\frac{2^{\frac{11}{5}}x^9}{m^4})[/tex]A population has parameters μ=164.8 and σ=72.8. You intend to draw a random sample of size n=160.
Answers
The value of mz is 164.8 and sigma z is 5.755 for the given sample.
What is the sample standard deviation?
The dispersion of data distribution is measured by standard deviation. The average distance between every data point is measured.Yet if the data is being treated as a population unto itself or as a sample of a broader population will affect the standard deviation calculation formula.We divide by the N number of data points if the data is being seen as a population on its own.If the data come from a sample of a larger population, then divide by n-1n1n, or n minus 1, which is one less than that of the number of points in the sample.Given that,
m=164.8
sigma=72.8
n=160
The mean of the sample means' distribution
mz=m
mz=164.8
The standard deviation of the sample mean's distribution
sigma z= sigma/√n
sigma z= 72.8/√160
=5.755
The value of mz is 164.8 and sigma z is 5.755 for the given sample.
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