Answer:
-5x^5 + 7x^2 - 8x
Step-by-step explanation:
Add like terms:
3x^5 - 8x^5 = -5x^5
4x^2 + 3x^2 = 7x^2
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Answer:
{13, 9, 5, 1}
Step-by-step explanation:
Here the four inputs (x-values) are {1, 2, 3, 4}. The corresponding y-values are calculated using the formula y = 17 - 4x, and are as follows:
x y
1 17 - 4(1) = 13
2 17 - 4(2) = 9 In summary, the (vertical) 2nd column,
3 17 - 4(3) = 5 containing the y-values, is {13, 9, 5, 1}
4 17 - 4(4) = 1
#7 What is f(4) if f(1) = 3.2 and f(x + 1) = 2.5f(x)?
========================================================
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
What is the Answer to this
========================================================
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
/[tex]\frac{x-9}{15} =\frac{2x-9}{10\\}[/tex]
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]
please help due soon
Answer:
Your answer is A. x=6
Step-by-step explanation:
plug in 6 for x and youll get your answer
What is the perimeter?
14 feet
12 feet
16 feet
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
Hey! Please help me ASAP
Answer:
-d+3.5≥4
Step-by-step explanation:
Just ask.
Hope this helps! :)
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)
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 5NoThe 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.
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]
If a store sells 300 flat screen TVs and 30% of high definition, how many high definition TVs were sold?
help was i correct please help for brainlist!!!!!!!!!!!!!!
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:
15.
Write a direct variation equation if x = 7 and y = 42.
16.
Use the equation in example 15 to find x if y = 66.
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
help please!!!!! I need it
Answer:
it is 7x-4
Step-by-step explanation:
Say that Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually. If the Thai government wants to raise $70 billion in tax revenue, approximately where should it set the income tax rate? a. 5% b. 15% c. 23% d. 29%.
The income tax rate must be 29%.
Given that,
Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually.
If the Thai government wants to raise $70 billion in tax revenue,
We have to find,
The approximately where should it set the income tax rate?
According to the question,
Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually.
[tex]\rm Total \ income = Number \ of \ people \times Income \ per \ person\\\\Total \ income = 35,709,487 \times 8,630\\\\Total \ income = 308,172,872,810[/tex]
If the Thai government wants to raise $70 billion in tax revenue,
Then,
The income tax rate is,
[tex]\rm Tax\ rate = \dfrac{70,000,000,000,}{308,172,872,810}\\\\Tax \ rate = 0.29\\\\Tax \ rate = 29 \ percent[/tex]
Hence, The income tax rate must be 29%.
For more details refer to the link given below.
https://brainly.com/question/16016455
Answer:
c
Step-by-step explanation:
Trust me, I got 100%
Determine the period of the function y = -3cos(pi/5)x.
a. 3
b. 8
c. -3
d. 10
Answer:
Step-by-step explanation:
B
Answer:
10
Step-by-step explanation:
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.
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.
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
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
help me please!!!!
please be quick!!
Answer:
40m^2 e
Step-by-step explanation:
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.
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?
Answer:
1 3/4
Step-by-step explanation:
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.
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 difference between two numbers is 56. Five times the smaller is equal to 4 more than the larger. What are the numbers?
Find an equivalent ratio in simplest terms: 56 : 40
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
please help i dont want to fail final exam
Determine the linear equation modeled by the graph.
Answer:
liner equation
Step-by-step explanation:
do nothing
17. Find the 15% commission on $400 in sales.
O $75
$60
O $40
O $15
The probability for event A is 0. 3, the probability for event B is 0. 6, and the probability of events A or B is 0. 8. Why are the events not mutually exclusive?.
P(A and B) = P(A) + P(B) - P(A or B)
P(A and B) = 0.3 + 0.6 - 0.8
P(A and B) = 0.1
Because this result is nonzero, the two events A and B are not mutually exclusive. It is possible for the two events to happen at the same time.
Mutually exclusive events always have P(A and B) = 0, which means A and B cannot happen simultaneously.
The probability of A or B equals the probability of A plus the probability of B. so, the event is not mutually exclusive because of the P(A and B) = 0.1, not 0.
Given that,The probability for event A is 0.3, the probability for event B is 0.6,
and the probability of events A or B is 0.8.
We have to find,Why are the events not mutually exclusive?
According to the question,The probability for event A is 0.3, the probability for event B is 0.6,
and the probability of events A or B is 0.8.
P(A) = 0.3
P(B) = 0.8
and P(A∪B) = 0.8
When two events are said to be mutually exclusive when both the events cannot take place simultaneously.
Mutually exclusive events always undergo different outcomes.
These events are also known as disjoint events.
Mutually exclusive events prevent the second event to take place when the first event appears.
The probability of mutually exclusive events follows;The probability of A and B together equals 0,
P(A and B) = 0
The probability of A or B equals the probability of A plus the probability of B,
P(A or B) = P(A) + P(B)
Therefore,
P(A or B) = P(A) + P(B) = 0.3 + 0.6 = 0.9
Here, 0.9 ≠ 0.8
Thus, the events are not mutually exclusive.
Hence, The event is not mutually exclusive because the P(A and B) = 0.1, not 0.
For more details about Probability refer to the link given below.
https://brainly.com/question/14071639
11/19% of a quantity is equal to what fraction of the quantity?
Answer:
57/10,000
Step-by-step explanation:
9/11% = 0.57% = 0.0057
57/10,000
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.
Answer:
The ninth piece is 0.5 feet long
Step-by-step explanation:
176 divided by 9
Hope this helps!
What logarithmic function represents the data in the table?
x f(x)
216 3
1296 4
7776 5
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 =
Which of the following is the correct ratio for Sine?
Answer:
Sin = Opp/Hyp
Step-by-step explanation:
Answer:
opposite over hypotenuse
