Step-by-step explanation:
part 1. Alternate Exterior angle
part 2. 110°
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the graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n+c. what does the graph tell you about the value of c in this function?
Answer:
c = 2.
Step-by-step explanation:
When the first part of the function has the value 0, f(x) will also be 0 if the c wasn't there.
So the value of c is 2.
From the given graph n is a positive odd number.
What is the exponential function?Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
From the graph,
All the values of the graph are positive values (even for the negative values of x), but in the left side we can see that the function decreases and is different than the right side.
So this is not an even function, then n must be an odd number (n odd allows us to have negative values for y = f(x) that happen when x + k is negative).
Also, we can see that the function increases, if n was a negative number, like: n = -N
We would have: [tex]f(x)=\frac{a}{(x+k)^{\frac{1}{N} }} +c[/tex]
So in this case x is in the denominator, so as x increases, we would see that the value of y decreases, but that does not happen, so we can conclude that the value of n must be positive.
Then n is a positive odd number.
Therefore, n is a positive odd number.
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What are the sums for both of those?
Any help would be appreciated
Answer:
10
Step-by-step explanation:
Bisect the 72° angle to get an exterior angle of 36°.
The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.
360°/36° = 10
Answer: There are 10 sides.
Simplify x+2x –8+3x+1 –2x.
Answer:
4x - 7
Step-by-step explanation:
x + 2x + 3x - 2x = 4x
-8 + 1 = -7
The simplified expression is 4x -7.
What is Expression?A fine operation similar as deduction, addition, addition, or division is used to combine terms into an expression. In a fine expression, the following terms are used.
An absolute numerical number is appertained to as a constant.Variable- A symbol without a set value is appertained to as a variable. Term: A term can be made up of a single constant, a single variable, or a blend of variables and constants multiplied or divided.Coefficient In an expression, a measure is a number that's multiplied by a variable.Given:
Expression: x+2x –8+3x+1 –2x
Now, simplifying the expression by taking like terms along.
x+2x –8+3x+1 –2x
= x+ 2x - 2x + 3x - 8 + 1
= x(1 + 2 - 2 + 3) -7
= x( 4) -7
= 4x -7
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n is an integer greater than 1
Prove algebraically that 10+ n^2 - (n - 2)^2 is always an even number.
Your final line must have, 'always even' as part of the line.
Answer:
Proof below.
Step-by-step explanation:
Let f(n)=10+ n^2 - (n - 2)^2.
We want to prove f is even for integer n > or = 1.
Let's show f is even for the base case, n=1.
f(1)=10+1^2-(1-2)^2
f(1)=10+1-(-1)^2
f(1)=11-(1)
f(1)=10
f(1) is even.
Let's assume the for some integer k > or = 1 , we have f(k) is even. This means there is some integer m so that f(k)=2m.
Note: f(k)=10+ k^2 - (k - 2)^2.
We want to show f(k+1) is even.
f(k+1)=10+ (k+1)^2 - ([k+1] - 2)^2
f(k+1)=10+ (k+1)^2 - (k-1)^2
f(k+1)=10+ ((k+1)^2 - (k-1)^2)
That difference is a difference of squares. Let's try factoring it.
f(k+1)=10+ (k+1-[k-1])(k+1+[k-1])
f(k+1)=10+ (2)(2k)
Multiply:
f(k+1)=10+4k
Turns out we didn't even need to use our induction hypothesis since 10+4k is 2(5+2k) which makes f(k+1) even given the factor of 2 present.
This proves for all integers n>=1 that f(n) is even.
We could have this without induction then. Let's do that here below this line.
-------------------
10+ n^2 - (n - 2)^2
10+[n^2 - (n - 2)^2]
Factor difference of squares:
10+(n-(n-2))(n+(n-2))
Simplify:
10+(2)(2n-2)
Factor:
2[5+(2n-2)]
Because of the factor of 2, the given expression is always even for integer n.
What is 2(-2) raised to the power of 3 - 6x?
Answer: -2 * (3x + 8)
Would appreciate brainly <3
someone please help me
Answer:
(a) A is steeper; 4/5 > 2/5
Step-by-step explanation:
The slope of A is the coefficient of x, so is 4/5. This eliminates choices B and D.
The line in the graph has a rise of 2 units for each run of 5 units, so has a slope of ...
slope = rise/run = 2/5
This eliminates choice C.
The correct description of the relationship is the first one:
Equation A has a steeper slope, because 4/5 is greater than 2/5.
help.. What is the domain of the function
Answer:
i think d
Step-by-step explanation:
solve the inequality 4x-3=2x+7
Answer: x=-2
Step-by-step explanation:
Add three to both sides of the equation
4x-3=2x+7
4−3+3=2−7+3
simplify
4=2−4
4−2=2x-4−2
simplify
2=−4
Divide both sides of the equation by the same term
2=−4
2/2=−4/2
=−2
Answer: x = 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.x=5
A man Buy television set at a price exclusive of sales tax for $2124 if sales tax of 12% is changed how much money does the man pay
Answer:
2378.88
Step-by-step explanation:
12/100 x 2124
=254.88
2124+254.88=answer
???????????????????plz
Answer:
right right
Step-by-step explanation:
hello guys I need help, the things in parenthesis is just me talking) Your friend writes 0.86 as a percent. 0.86 = 00.86=0.0086% 86 Is your friend correct? (picked no) Explain your reason ( I don't know how to explain it)
Answer:
0.86 as a percent is 86%.
Step-by-step explanation:
Have a great rest of your day
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P.S
give the braineist to the other person pls
plss help, it’s pretty easy tho
Answer:
B
Step-by-step explanation:
what is the x intercept
Answer:
The answer is B
6457/25 using partial products
Set up using the same way please.
Answer: 6457/25=258.28
Step-by-step explanation:
Answer:
258.28 Hope this helps! Please mark brainliest it means a lot to me
Step-by-step explanation:
Th=0
H=2
T=5
0=8
tenth=2
hundredth=8
You could get the answer by doing long division/standard algorithm
how do you simplify 2.7 x 6
Answer:
16.2
Step-by-step explanation:
help me brain pt Part 5
When ordering pizzas, 5 pizzas cost $60. Does this mean 9 pizzas will cost $100? Write a proportion and use cross products.
Answer:
108$.
Step-by-step explanation:
If a company had a gain of 800$ in March , but in April and May , it had a loss of $400 and 900$ respectively , how mich profit or loss did the company have in three months .
Please answer quickly ,.I will mark you as brainlist ... In Hurry Plz
Answer:
-500
Step-by-step explanation:
i knew the answer
have a great day ;)
What is the measurement of this angle?
Answer:
54°
Step-by-step explanation:
All the angle measures of a triangle must add up to equal 180°. So,
59°+67°+x°=180°
x=54°
Someone plz help me :(
Step-by-step explanation:
option A is correct answer
Answer:
Should be C if not then A
Step-by-step explanation:
Jason was a recent graduate from a university program with a Bachelor of Science in Medical Technology. He will begin a position at the local hospital working 40 hours a week with an hourly rate of $25.50. He will receive a paycheck every two weeks. In a document, calculate the following. Be sure to show your mathematical calculations.
Gross Pay for 1 paycheck
Deductions for federal tax, state tax, and city tax
Deduction for F.I.C.A. or social security tax
Deduction of $117 for medical and dental insurance.
What would Jason’s net monthly income and net annual salary be after taxes and insurance?
Answer:
Gross Pay for 1 paycheck
Deductions for federal tax, state tax, and city tax hope it helps :)
Step-by-step explanation:
The net monthly income of Jason is $194.68 and the net annual salary is 23324.16.
What is gross pay?Gross pay of an employee is basically sum of his basic pay, dearness allowance, any other allowance only. Public providend fund, income tax are not deducted from it.
How to find net pay?1) Gross paycheck=2*40*25.5=$2040.
2) Federal tax=2040*21%=$428.4
3) State tax=25=$25
4) City tax=2040*12%=$244.8.
5) Deductions=2040*12.45=$252.96.
6) Net monthly income=2*(Gross pay-federal tax-state tax-city tax-deductions-deductions for F.IC.A. or social security tax)
=2*[2040-428.4-25-244.8-252.96-117]
=1943.68
7) Net annual salary=12* net monthly income.
=1943.68*12 ( 1year= 12 months)
=$23324.16
Hence the net monthly income of Jason is $194.68 and the net annual salary is 23324.16.
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PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:
parallel, perpendicular are opposite
Answer:
PARALLEL PERPENDICULAR
Step-by-step explanation:
Kate, Alexia, and Trina just completed the 400-meter dash at the track meet. Kate finished the race 6 seconds faster than Alexia, while Trina finished the race 3 seconds faster than Kate. If their combined time was 2 minutes and 39 seconds, find each girl’s individual time.
Answer:
Kate = 52 seconds, Alexia = 58 seconds, Trina = 49 seconds
Step-by-step explanation:
A = K + 6
T = K - 3
K + A + T = 2 min 39 sec or 159 sec
K + (K + 6) + (K - 3) = 159sec
3K + 3 = 159sec
3K = 156sec
K = 52 sec
A = 52 + 6 = 58 sec
T = 52 - 3 = 49 sec
Read the scenario. 1. The temperature at 6 A.M. was -5°F. By noon the temperature had risen by 5°F. What was the temperature at noon? Represent these values with integers and model them on a number line. + + + 0 1 2 3 4 5 6 7 8 9 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 Read the scenario. 2. A diver was 8 feet below sea level. The diver swam back up 8 feet. What is the location of the diver? Represent these values with integers and model them using integer tiles.
Answer:
mm
Step-by-step explanation:
Find the circumference of the
circle. Use 3.14 for it. Do not
round your answer.
C = [ ? ] feet
18 feet
Enter the number that
belongs in the green box.
Hint: C = 2tr
Use the long division method to find the result when 6x^3+ 23x^2 + 15x + 28 is
divided by 2x + 7
For a Brainlist please help me out
+ give accurate explanation
Answer:
A:Tina's. B: Gabby's
Step-by-step explanation:
Luckly the two people are using the same unit to measure both time (in weeks) and height (in inches), so no conversion needed.
At this point, let's start dealing with the questions.
A. They bought the plants at week 0.
For Tina, we calculate [tex]f(0) = 0+1.5 = 1.5[/tex]
For Gabby, we scout the table till we find week 0 and check the corrisponing value: it's (0; 1) Since 1 is smaller than 0, at start Tina plant was taller.
B. The easiest way would be to stare at Gabby's table for a bit, and notice that each increase is 2 more than the previous, and the progression starts at 1. We can write it as an equation as [tex]g(x) = 2x+1[/tex]. If you confront with Tina's growth, you can tell that Gabby's plant grows twice as fast - the slope is double. Else, you can see that even just after one week, Tina's plant will be 2.5 in tall, while Gabby's outgrew hers already. That's possible only if the plant is growing faster.
can someone help me on this one plss i REALLY need this for school
Answer:
0.9 + n = 5.2
Step-by-step explanation:
Think about it, 0.9 increased by a number is 5.2
In other words, increasing 0.9 by a number will equal 5.2
So, increasing = adding, right?
Adding 0.9 to a number will equal 5.2
0.9 + n (a number) = 5.2
The force, f acting on a chraged object varies inversley to the square of its distance from another charged object. when the two objects are 0.64 meters apart, the force acting on them is 8.2 netwons
Btw also found a spelling mistake in the question:instead of newtons you put netwons- lol-
btw
Rounded to the nearest thousandth would be 4.444 Newtons (same units you solved for k with)
But anyway here you go:
~Jamie