Answer: x + 8
Step-by-step explanation:
[tex]f(g(x))=f(\frac{1}{2}x+2) = 4+2(\frac{1}{2}x+2) = 4+x+4 =x +8[/tex]
2x + 4y = 4
number of solution
Given equation 2x + 4y = 4 has infinitely many solutions.
We have been given an equation 2x + 4y = 4
We need to find the number of solutions.
Above equation is a linear equation with two variables.
We know that, a linear equation in two variables has infinitely many solutions.
For any value real value of x we can find corresponding value of y.
Since x can takes infinitely many inputs the output would be infinitely many.
Therefore, given equation 2x + 4y = 4 has infinitely many solutions.
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he residence of a city voted on whether to raise property taxes the ratio of yes votes to no votes was 4 to 7 if there was a 5918 total votes how many yes votes were there
There is a total of 2152 yes votes
How to determine the number of yes votes?From the question, the statement is given as
The ratio of yes votes to no votes was 4 to 7
Mathematically, this can be represented as
Ratio = 4 : 7
Alternatively, we have
Yes : No = 4 : 7
Express the ratio as fraction
Yes = Yes/Yes + No
So, we have
Yes = 4/4 + 7
Evaluate the sum
Yes = 4/11
From the question, we have
Total votes = 5918
So, we have
Yes = 4/11 * 5918
Evaluate
Yes = 2152
Hence, the number of yes votes is 2152
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Calculate the volume of each of the following prisms.
1)
length = 35
width = 14
height = 24
2)
length = 27
width = 14
height = 21
3)
length = 21
width = 21
Height = 21
Step-by-step explanation:
1.) The first shape is a parallelogram like prism, So we use Area of prism= Area of base shape*height
that is, Area of base shape= rectangle,L*B
35*14=490*height
490*24=11760 cm3
2.)A rectangle base prism,
Area of prism= Area of base shape*height
Area of Base shape=27*14
378cm2*21
7938cm3
3.)Square based prism,
Area of prism= Area of base shape*height
=21*21*21 (since all sides are the same)
=9261cm3
Exercise
1. If you have a case where n=25 and P=0.04, what is the probability that x is equal to 4?
If [tex]n=25[/tex] and [tex]p=0.04[/tex], then the probability of [tex]P(X=4)[/tex] is found to be 0.001374.
What is Binomial Distribution?
In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and having its own Boolean-valued outcome: success (with probability, [tex]p[/tex]) or failure (with probability, [tex]q=1-p[/tex]).
How to Find the Probability of a Binomial Distribution?
The chance of failure raised to the power of the difference between the number of tries and the number of successes is multiplied by the probability of success raised to the power of the number of successes in order to compute the binomial distribution. Next, multiply the final result by the sum of the number of attempts and the number of successes.The formula for binomial distribution is given as, [tex]P(X=k)={n \choose k}p^{k}(1-p)^{n-k}[/tex]From the given question, we have, [tex]n=25[/tex] and [tex]p=0.04[/tex]
Here, have to find the probability of [tex]P(X=4)[/tex], so [tex]k=4[/tex]
The binomial distribution formula is, [tex]P(X=k)={n \choose k}p^{k}(1-p)^{n-k}[/tex]
Substituting the given values in the above equation, we get
[tex]P(X=4)={25 \choose 4}0.04^{4}(1-0.04)^{25-4}[/tex]
[tex]\implies P(X=4)=12650 \times0.00000256\times0.4243\\\implies P(X=4)=0.001374[/tex]
Therefore, the value of [tex]P(X=4)=0.001374[/tex]
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For every pull-up Mark completes, he does 4 push-ups. If he did 48 push-up, how many pull-ups did he do?
Answer:
Mark did 12 pull ups
Step-by-step explanation:
48 / 4 = 12
If India works overtime, she receives an hourly rate of 1-times her regular hourly 1/2 rate. What is her hourly overtime rate?
5x-3(x-3)=-5+4x+6 x=?????????
Answer:
[tex]\frac{7}{4}[/tex] or 1 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
I am not sure if you meant 6x or 6+x at the end of the equation. I went with what was written.
5x -3(x-3) = -5 +4x +6x Distribute the -3
5x -3x + 9 = -5 + 4x + 6x Combine like terms
2x + 9 = -5 + 10x Subtract 2x from both sides
9 = -5 + 8x Add 5 to both sides
14 = 8x Divide both sides by 5
[tex]\frac{14}{8}[/tex] = x
[tex]\frac{7}{4}[/tex] o r 1 [tex]\frac{3}{4}[/tex]
Use your calculator to find the angle, to the nearest hundredth of a degree, whose tangent value is
O 0.35
O 18.43
O 0.32
O 71.57
Answer:18.43
Step-by-step explanation:
Find the values of x and y.
The required angles of x and y are x = 65° and y = 25°
Given is a triangle which is right angled
Thus the sum of the right angled triangle is 180 degrees
So we will write
y° + x + 90 = 180 [ angle sum property of the triangle ]
90 + x + y = 180
let the above equation be considered as equation 1
Since two sides are equal
thus the other angle will also be x°
Also the angle adjacent to 40° can be found out by linear angle property
thus according to this :
x + x + ( 90 - 40 ) = 180 °
2x + 50 = 180
thus subtracting 50 on both sides we get
2x = 130
x = 65°
Thus by equation 1
we can rewrite it as
y + x + 90 = 180
65 + 90 + y = 180
155 + y = 180
this implies y = 180 - 155
y = 25°
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we spent $82.96 at a restaurant this total amount including a tip of 22% what was the amount of the bill before the tip?
Answer:
82.96-22% = 67.83
Step-by-step explanation:
82.96-22% = 67.83
What is the explicit form of an arithmetic sequence if the
first term is 5 and the recursive formula is an an-1 + 8?
=
The explicit form of the arithmetic sequence is
5, 13, 21, 29, .....
What is arithmetic sequence?
A sequence of numbers is said to be in arithmetic progression if the difference between the consecutive terms of the series are same
If the first term is a, common difference is d, then nth term of the sequence is given by
[tex]a_n = a + (n-1)d[/tex]
The recursive form of the given arithmetic series is
[tex]a_n = a_{n-1} + 8[/tex]
First term [tex]a_1 = 5[/tex]
[tex]a_2 = a_1 + 8\\a_2 = 5 + 8\\a_2 = 13[/tex]
[tex]a_3 = a_2 + 8\\a_3 = 13 + 8\\a_3 = 21[/tex]
[tex]a_4 = a_3 + 8\\a_4 = 21+8\\a_4 = 29[/tex]
So the explicit form of the arithmetic sequence is
5, 13, 21, 29, .....
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DD.1 alculate mean, median, mode, and range What is the mean? If the answer is a decimal, round it to the nearest tenth. 45 46 43 41 43
Answer:
The answer to your question is,
MEAN = 43.6
MEDIAN = 43
MODE = 43
RANGE = 5
Step-by-step explanation:
BC I know math :)
helpppp please??? brainlesttttt
The assets and liabilities of a landscaping business are listed below.
Owned Inventory
$30,500
Cash
$75,420
Building Mortgage
$154,265
Savings Account
$28,000
Owned Equipment
$15,670
Small Business Loan
$25,652
Credit Cards
$11,450
Accounts Receivable
$11,560
Investments
$178,925
Which balance sheet correctly shows the assets, liabilities, and net worth of the landscaping business?
The total value of the ice cream shop owner's business assets would be; $286,898.
What are business assets?Business assets are the value of the assets of the Ice Cream Shop. The business assets consist of liabilities (amounts owed outsiders) and equity (the difference between assets and liabilities).
Business Assets:
Owned Inventory $30,500
Cash $75,420
Savings Account $28,000
Owned Equipment $15,670
Accounts Receivable $11,560
Property Value $125,768
Total assets = $286,898
Business Liabilities:
Small Business Loan $25,652
Other Debt $1,235
Building Mortgage $154,265
Total liabilities = $171,152
Equity = $115,746 ($286,898 - $171,152)
The total value of the ice cream shop owner's business assets would be; $286,898.
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Answer:
The net worth of the landscaping business is $148,708.
Step-by-step explanation:
Assets:
(Owned Inventory) $30,500
(Cash) $75,420
(Savings Account) $28,000
(Owned Equipment) $15,670
(Accounts Receivable) $11,560
(Investments) $178,925
30500+75420+28000+15670+11560+178925 = 340075
Liabilities:
(Building Mortgage) $154,265
(Small Business Loan) $25,652
(Credit Cards) $11,450
154265+25652+11450= 191367
Assets - liabilities = net worth
340075 - 191367 = 148708
So, the net worth of the landscaping business is $148,708.
use the figure below to solve for the missing value(s):
The missing values are:
m∠1 = 36°
m∠2 = 122°
m∠3 = 122°
m∠4 = 38°
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
The figure has two triangles.
58° and m∠3 is a straight angle.
58 + m∠3 = 180
m∠3 = 180 - 58
m∠3 = 122
Now,
m∠3 + m∠4 + 20 = 180
122 + m∠4 + 20 = 180
m∠4 = 180 - 122 - 20
m∠4 = 180 - 142
m∠4 = 38
m∠3 and m2 are opposite angles.
Opposite angles are equal.
m∠3 = m∠2 = 122
Now,
m∠1 + m∠2 + 22 = 180
m∠1 + 122 + 22 = 180
m∠1 = 180 - 144
m∠1 = 36
Thus,
The missing values are:
m∠1 = 36°
m∠2 = 122°
m∠3 = 122°
m∠4 = 38°
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Members of the student government are planning a movie night on campus. They have asked a random sample of students which of four movies the student would prefer. Here are the results Movie A- 31 students, Movie B- 27 students, Movie C- 34 students, Movie D- 28 students. There are 900 students total on campus. Based on the above information, how many students on campus would we expect to prefer Movie C? Round your answer to the nearest whole number. Do not round any intermediate calculations
There are 255 students who prefer Movie C.
In the given case, the total number of students in the campus = 900
Number of students in the random sample :
= 31 + 27 + 34 + 28
= 120
Number of students who prefer to watch movie C in the chosen sample:
= 34
To get number of students who would prefer to watch the movies C in the total population of 900, we can extrapolate the data from the chosen sample to the entire population.
Thus, number of students expected to prefer movie C in the campus =
34/120 × 900
= 255
Hence the expected number of students are 255.
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Work out the perimeter of this quarter circle.
Take to be 3.142 and write down all the digits given by your calculator.
4 cm
Step-by-step explanation:
Where's the calculator
Spot Robin says, "I can find 6 x 9 by
multiplying 4 x 9 and doubling it." Does her statement
make sense? Justify your answer.
Answer:
No
Step-by-step explanation:
It does not make sense becuse 6x9=54
And 4x9(2)=72 so it would make no sense
n (x) = 4x + 4; n(x) = 16
X =
x = 3
Step-by-step explanation:
[tex]{ \blue{ \sf{n(x) = 4x + 4}}}[/tex]
[tex]{ \blue{ \sf{16 = 4x + 4}}}[/tex]
[tex]{ \blue{ \sf{16 - 4 = 4x}}}[/tex]
[tex]{ \blue{ \sf{12 = 4x}}}[/tex]
Divide both the sides with 4
[tex]{ \blue{ \sf{ \frac{12}{4} = \frac{4}{4}x}}}[/tex]
[tex]{ \green{ \boxed{ \red{ \sf{x = 3}}}}}[/tex]
Suppose you have a complete, weighted graph with 8 vertices. How many Hamilton Circuits are there in this graph?
The number of Hamilton Circuits with 8 vertices are 5040.
Given that, a complete, weighted graph with 8 vertices.
What are Hamilton Circuits?A Hamiltonian circuit is a circuit that visits every vertex once with no repeats. Being a circuit, it must start and end at the same vertex. A Hamiltonian path also visits every vertex once with no repeats, but does not have to start and end at the same vertex.
For N vertices in a complete graph, there will be (n−1)!=(n−1)(n−2)(n−3)…3⋅2⋅1 routes. Half of these are duplicates in reverse order, so there are (n−1)!/2 unique circuits.
A complete graph with 8 vertices would have = 5040 possible Hamiltonian circuits. Half of the circuits are duplicates of other circuits but in reverse order, leaving 2520 unique routes.
Therefore, the number of Hamilton Circuits with 8 vertices are 5040.
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Graph the solution set to the inequality: 8x - 7y ≥ 42
Answer:
How do I show you the graph because I have it
Step-by-step explanation:
Reflect across the y-axis.
H(1,-3)→H
Z(1,2)→ Z
W(4,1)→ w
Reflection across the y-axis is H(-1,-3), Z(-1,2) W(-4,1).
When point M (h,k) is reflected along the y-axis, the image M' with coordinates of forms in the second quadrant (-h, k).
Thus, we get the conclusion that when a point is mirrored along the y-axis, the y-coordinate stays constant but the x-coordinate changes to the negative.
H(1,-3) → H(-1,-3)
Z(1,2) → Z(-1,2)
W(4,1) → W(-4,1)
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What is the slope of the line?
Answer:
2
Step-by-step explanation:
y 4-2=2
x 2-1=1
2/1=1
hope it helps.
Evaluate if xy + 2x if x = 7 and y = 5
Answer:
49
Step-by-step explanation:
35+14=49
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Lorna Hall’s real estate tax of $2,010.88 was due on December 14, 2017. Lorna lost her job and could not pay her tax bill until February 27, 2018. The penalty for late payment is 61/2% ordinary interest. (Use Days in a year table.)
a. What is the penalty Lorna must pay? (Round your answer to the nearest cent.)
b. What is the total amount Lorna must pay on February 27? (Round your answer to the nearest cent.)
a) The penalty Lorna must pay for the late payment of her real estate tax is $26.50.
b) The total amount Lorna must pay on February 27 is $2,037.38.
How is the penalty for unpaid taxes computed?The penalty for unpaid taxes is computed by determining the number of days the taxes remained unpaid.
Then the penalty rate is applied to the unpaid taxes multiplied by the number of days taxes were outstanding, divided by 365 days.
The product of the above multiplication and division operations is the penalty.
Outstanding real estate tax = $2,010.88
Due date for the tax = December 14, 2017
Payment date for the tax = February 27, 2018
Number of days, tax outstanding = 74 days
Penalty rate for late payment = 6.5%
Penalty = $26.50 ($2,010.88 x 6.5% x 74/365)
Total payment on February 27 = $2,037.38 ($2,010.88 + $26.50)
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DUE IN A FEW MINS!!!!Do only number 25 pls I’m confused!! Also, please explain how u got it !!
Answer:
value of x are 2 and 3 which make the inequality true
0.8421 as a fraction
Answer:
8421/10000
Step-by-step explanation:
8421/10000
Exponential test y =4
The function y = 4 is a straight line and not an exponential function.
Given, a function y = 4
now, we have to test the function is exponential or not
As, the function is a straight line graph i.e. y = 4.
Now, the function y = 4 is a straight line graph which is parallel to the x-axis.
So, the function y = 4 is not an exponential function
Hence, the function y = 4 is a straight line and not an exponential function.
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Número 5 five pls help me
A middle school principal is signing the diplomas of the school's graduating eighth graders. She previously signed 37 diplomas. Now, she is signing more diplomas at a rate of 0.5 per second.
Write an equation that shows how the total number of diplomas signed, y, depends on the number of seconds the principal spends signing them, x.
y=
An equation that shows how the total number of diplomas signed depends on the number of seconds the principal spends signing them is y = 37 + 0.5x.
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
In this case, let x be number of seconds the principal spends signing them. The principal already signed 37 diplomas. Th equation to illustrate this is 37 + 0.5x.
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