Complete the tables of values. X 4â’x â’1 4 0 a 2 b 4 c a = b = c = x ( 2 3 ) x â’1 3 2 0 d 2 e 4 f d = e = f =.
Answers
The corresponding values of d, e ad f are 1, 1/16, and 1/256 respectively
Find the table of values attached. From the given table the function of the output is expressed as [tex]g(x) = 4^{-x}[/tex]
If x = 0, then;
[tex]g(0) = 4^{-0}\\g(0) = 1/4^0\\g(0)=1/1 = 1\\[/tex]
If x = 2
[tex]g(2) = 4^{-2}\\g(2) = 1/4^2\\g(2)=1/16[/tex]
If x = 4;
[tex]g(4) = 4^{-4}\\g(4) = 1/4^4\\g(4)=1/256[/tex]
Therefore the corresponding values of d, e ad f are 1, 1/16 and 1/256 respectively
Learn more on table of functions here: https://brainly.com/question/3632175
Answer:
a = ⇒ 1
b = ⇒ 1/16
c = ⇒ 1/256
d = ⇒ 1
e = ⇒ 4/9
f = ⇒ 16/81
Related Questions
If the 3rd term in an arithmetic sequence is 10 and the sum of the 1st 6 terms is 72. The fifth term is.
Answers
Answer:
5th term = 18
Step-by-step explanation:
a1 + a1+d a1 + 2*d a1+3d a1 + 4*d a1 + 5d
a1 + 2d = 10
6*a1 + 15d = 72
Multiply the first equation by 6
6a1 + 12d = 60
Write the above equation underneath the second equation
6a1 + 15d = 72
6a1 + 12d = 60 Subtract
3*d = 12 Divide by 3
d = 12/3
d = 4
a1 + 2d = 10
a1 + 2*4 = 10
a1 + 8 = 10 Subtract 8 from both sides
a1 - 8 = 10- 8
a1 = 2
The fifth term is
t5 = 2 + 4*4
t5 = 18
/[tex]\frac{x-9}{15} =\frac{2x-9}{10\\}[/tex]
Answers
Step-by-step explanation:
[tex] \frac{x - 9}{15} = \frac{2x - 9}{10} \\ [/tex]
[tex] \frac{x - 9}{3} = \frac{2x - 9}{2} \\ [/tex]
[tex]2( x - 9) = 3(2x - 9) \\ [/tex]
[tex]2x - 18 = 6x - 27[/tex]
[tex]27 - 18 = 6x - 2x[/tex]
[tex]9 = 4x[/tex]
[tex]x = \frac{9}{4} \\ [/tex]
calculate the height of the tree the answer is not 46
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Tan(33)(30.5)=x
X=19.806, or rounded off x=19.81.
help was i correct please help for brainlist!!!!!!!!!!!!!!
Answers
You're correct! we can see the population is not going down by half each time, so that eliminated b and c. Since we start with 5000, this makes c the right answer.
Hope this helps :)
Answer: c
Step-by-step explanation:
Find an equivalent ratio in simplest terms: 56 : 40
Answers
Answer:
7:5 is another ratio equivalent to 56:40
Step-by-step explanation:
56/8 = 7
40/8 = 5
Answer:
hope this helps
Step-by-step explanation: an equivalent ratio in simplest form would be 7:5
this is found by dividing 56 by 8 which is 7 and 40 dividd by 8 which is 5
7:5
#7 What is f(4) if f(1) = 3.2 and f(x + 1) = 2.5f(x)?
Answers
========================================================
Explanation:
We're given f(1) = 3.2 which says the first term of the sequence is 3.2
To find the second term, we use the other equation, which is the recursive equation. Plug in x = 1 to get...
f(x+1) = 2.5*f(x)
f(1+1) = 2.5*f(1)
f(2) = 2.5*f(1)
f(2) = 2.5*3.2
f(2) = 8
The second term is 8. We multiplied the previous term (3.2) by the factor 2.5 to get this second term.
The third term is handled pretty much in a similar fashion
third term = 2.5*(second term)
third term = 2.5*8
third term = 20
Lastly, the fourth term f(4) is...
f(x+1) = 2.5*f(x)
f(3+1) = 2.5*f(3)
f(4) = 2.5*f(3)
f(4) = 2.5*20
f(4) = 50
The fourth term is 50.
The first four terms are: 3.2, 8, 20, 50
please help i dont want to fail final exam
Determine the linear equation modeled by the graph.
Answers
Answer:
liner equation
Step-by-step explanation:
do nothing
Hey! Please help me ASAP
Answers
Answer:
-d+3.5≥4
Step-by-step explanation:
Just ask.
Hope this helps! :)
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answers
Answer:
3^3+4^3=91
3*3*3=27
4*4*4=64
27+64=91
Will mark Brainliest for the correct answer:
Classify EACH expression as a polynomial or not a polynomial.
(just screenshotted since its a lot to type)
Answers
Step-by-step explanation:
#1 is polynomial of degree 4#2 is polynomial of degree 3#3 NOT a polynomial, variable as fraction#4 NOT a polynomial, radical variable#5 is polynomial of degree 5#6 NOT a polynomial, negative exponentLet's see
Yes, Polynomial having degree 4Yes Polynomial having degree 3No, Fraction onlyNo,radical expressionYes,Of degree 5No15.
Write a direct variation equation if x = 7 and y = 42.
16.
Use the equation in example 15 to find x if y = 66.
Answers
Answer:
15. y = 6x
16. x = 11
Step-by-step explanation:
15. A direct variation equation is of the form ...
y = kx
Solving for k, we find ...
k = y/x = 42/7 = 6
The equation is y = 6x.
__
16. Filling in the given values, we have ...
66 = 6x
11 = x . . . . . . . divide by 6
What is the perimeter?
14 feet
12 feet
16 feet
Answers
Answer:
14 feet
Step-by-step explanation:
You find this answer by adding each side. The arrow tells us that each side of a square is 1 foot, so you add up the outer sides of each square
A. Are the expressions 3(m - 2) + 2(m - 2) and 50m - 2) equivalent expressions?
B. In two or more complete sentences, justify your answer to A.
Answers
Answer:
Step-by-step explanation:
3(m-2)+2(m-2)
3m-6+2m-4
3m+2m-6-4
5m-6-4
5m-10
The expressions 3(m-2)+2(m-2) and 50m-2 are not equivalent expressions.
After simplifying the first expression 3(m-2)+2(m-2) in part (a), we got 5m-10, which is different from the second expression, 50m-2.
help me please!!!!
please be quick!!
Answers
Answer:
40m^2 e
Step-by-step explanation:
You move left 2 units and down 1 unit. You end at (-5, -5.) Where did yo start
Answers
Answer:
(-3, -4)
Step-by-step explanation:
(-5, -5)
2 units right
(-3, -5)
1 unit up
(-3, -4)
just go backwards
Answer:
(-3, -4)
Step-by-step explanation:
The x value in (-5, -5) is -5 and y is -5. To find the original position you reverse the translations done to get to the current position. So you add 2 (because you move 2 units right to reverse) to the x value which gives us -3 and add 1 to the y value (because to reverse we move 1 unit up) which gives us the original y value of -4.
An online retailer allows customers to rate items on a scale from −5 to 5. An item receives the scores −1.75, −1, 4.25, 3.75, 1, −4.75, and 2. Find the mean score. Write your answer as a decimal.
Answers
Answer:
mean = 0.5
Step-by-step explanation:
The mean of a set of data is calculated as
mean = [tex]\frac{sum}{count}[/tex]
= [tex]\frac{-1.75-1+4.25+3.75+1-4.75+2}{7}[/tex]
= [tex]\frac{3.5}{7}[/tex]
= 0.5
The function P(t)=25,000(1.1023)t2 can be used to model the population in the town of Madison t years from now. Interpret the function in terms of the context for this situation.
Answers
Answer:
A growth function has the following form.
where = Original amount,
r = annual rate of change,
n = number of periods,
t = time in years
Since the time is in years, we need to convert t into days. We know that 1 year = 365 days. So t years = 365t days.
So in this case, n = 365, r = 0.0095.
Then the function is rewritten as follows.
The daily growth rate would be
Step-by-step explanation:
Lets find year wise population for example
let years be 3t=3[tex]\\ \sf{:}\longrightarrow P(3)=25,000(1.1023)3^2[/tex]
[tex]\\ \sf{:}\longrightarrow P(3)=27557.5(9)[/tex]
[tex]\\ \sf{:}\longrightarrow P(3)=248017.5[/tex]
Which of the following is the correct ratio for Sine?
Answers
Answer:
Sin = Opp/Hyp
Step-by-step explanation:
Answer:
opposite over hypotenuse
The difference between two numbers is 56. Five times the smaller is equal to 4 more than the larger. What are the numbers?
Answers
Explanation:
Let x = the first number
Let y = the second number
From what they give us, we know:
x - y = 56
5y = x + 4
Either one of the equations can be rearranged and substituted into the other equation to find one variable, or number.
5y = x + 4
5y - 4 = x or x = 5y - 4
x - y = 56
5y - 4 - y = 56
4y - 4 = 56
4y = 60
y = 15
To find the other variable (number), substitute that value in either equation.
x - y = 56
x - 15 = 56
x = 71
To check the solutions, substitute both variables into each equation to make sure they work.
x - y = 56
71 - 15 = 56
56 = 56
5y = x + 4
5*15 = 71 + 4
75 = 75
What logarithmic function represents the data in the table?
x f(x)
216 3
1296 4
7776 5
Answers
Answer:
Step-by-step explanation:
216 =6^3
1,296 = 6^4
7,776 = 6^5
x = 6^f(x)
log x = log 6^f(x) = f(x)log 6
f(x) = log x / log 6 =
Mark is mixing blue paint and yellow paint in the ratio of 2 to 3 to make him pay he wants to make 45 L of green paint he be able to make a table to help him think about the problem but he’s unsure of what to do next marks for an Amanda is also mixing paint she wants to make purple paint by mixing 2 cups of blue paint and with the 4 cups of red paint Amanda mixes paint with is left with 48has a purple paint
Answers
Answer:
This question is based on the concept of ratio. Therefore, he needs to have 18 liters of blue paint and 27 liters of yellow paint to make 45 liters of green paint.
Given:
Mark was mixing blue and yellow paint ratio of 2:3.
He wants to make 45 liters of green paint.
According to the question,
Blue : Yellow = Green
2 : 3 : 2+3 (Given)
2 : 3 : 5
Therefore, he wants to make 45 liters of green paint.
So, 5 parts = 45 liters
Step-by-step explanation:
please mark me brainliest
If a store sells 300 flat screen TVs and 30% of high definition, how many high definition TVs were sold?
Answers
What is the Answer to this
Answers
========================================================
Explanation:
For now, let's focus on triangle AFG.
This is a right triangle with the following sides:
FA = unknown horizontal leg = xFG = vertical leg = 6.1AG = hypotenuse = 11.2We'll use the pythagorean theorem to solve for x.
a^2 + b^2 = c^2
(FA)^2 + (FG)^2 = (AG)^2
x^2 + (6.1)^2 = (11.2)^2
x^2 + 37.21 = 125.44
x^2 = 125.44 - 37.21
x^2 = 88.23
x = sqrt(88.23)
x = 9.39308 approximately
Side FA is roughly 9.39308 units long.
-----------
Let's say for a moment we don't know where point G is located, but we do know where points A, C, and E are located. We can determine G's location by determining the perpendicular bisectors for segments AE and EC, and then intersecting said perpendicular bisectors.
Put another way:
FG is a perpendicular bisector for AEDG is a perpendicular bisector for ECBecause of the first bullet point, we know that AE is split into two equal pieces FA and FE, ie FA = FE.
We just found that FA = 9.39308 back in the last section, which means this is the length of FE as well.
Therefore,
AE = FA + FE
AE = 9.39308 + 9.39308
AE = 18.78616
AE = 18.8 when rounding to the nearest tenth, aka one decimal place.
Answer:
18.79
Step-by-step explanation:
→ Use Pythagoras theorem
√11.2² - 6.1²
→ Simplify
9.39
→ Now double the answer
18.79
Determine the period of the function y = -3cos(pi/5)x.
a. 3
b. 8
c. -3
d. 10
Answers
Answer:
Step-by-step explanation:
B
Answer:
10
Step-by-step explanation:
help please!!!!! I need it
Answers
Answer:
it is 7x-4
Step-by-step explanation:
When r= 1 , h=2.4 find r in terms of h
Answers
Answer:
r= 5/12 h
Step-by-step explanation:
r/h = 1/2.4
r =[tex]\frac{10}{24}[/tex]h
r=[tex]\frac{5}{12}[/tex]h
John had one piece of rope that was 176 feet long. He cut the rope into as many 9-foot pieces as possible. The last piece of rope was less than 9 feet long.
Answers
Answer:
The ninth piece is 0.5 feet long
Step-by-step explanation:
176 divided by 9
Hope this helps!
a grandmother 2 mothers and 2 daughters went to the cafe. they ordered one cup of coffee each. what was the total number of cups they ordered.
Answers
Answer:
5 cups of coffee
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
1 grandmother = 1 cups
2 mothers = 2 cups
2 daughters = 2 cups
2 + 2 + 1 = 5
A recipe for banana bread calls for 5 1/4 cups of flour to make 3 loaves of banana bread. how much is used to make 1 loaf of bread?
Answers
Answer:
1 3/4
Step-by-step explanation:
11/19% of a quantity is equal to what fraction of the quantity?
Answers
Answer:
57/10,000
Step-by-step explanation:
9/11% = 0.57% = 0.0057
57/10,000
