Answer:
y=-4x^2+24x-32
Step-by-step explanation:
let f(x)=a(x-4)(x-2)
f(3)=a(-1)(1)=4
so a=-4
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
6, 8, 32/3...
Find the 6th term.
Answer:
a₆ ≈ 25.284
Step-by-step explanation:
There is a common ratio between consecutive terms , that is
8 ÷ 6 = [tex]\frac{32}{3}[/tex] ÷ 8 = [tex]\frac{4}{3}[/tex]
This indicates the sequence is geometric with nth term
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 6 and r = [tex]\frac{4}{3}[/tex] , then
a₆ = 6 × [tex](\frac{4}{3}) ^{5}[/tex] = 6 × [tex]\frac{1024}{243}[/tex] = [tex]\frac{6(1024)}{243}[/tex] ≈ 25.284 ( to the nearest thousandth )
Step-by-step explanation:
it is a geometric sequence.
the common ratio or factor is 4/3.
I got this by simply trying to get from the 2nd to the 3rd term.
8×x = 32/3
24x = 32
x = 32/24 = 16/12 = 8/6 = 4/3
s1 = 6
s2 = s1 × 4/3 = 6 × 4/3 = 24/3 = 8
s3 = s2 × 4/3 = s1 × 4/3 × 4/3 = 6 × 16/9 = 2 × 16/3 = 32/3
sn = s1 × (4/3)^(n-1)
s6 = 6 × (4/3)⁵ = 6 × 1024/243 = 2 × 1024/81 = 2048/81 =
= 25.284
find the circumference of a circle with a radius of 18.5m, give answers in pie
Answer:
C = pi * 37m
Step-by-step explanation:
Diameter = 2(18.5m) = 37m
PLEASE HELP I WILL GIVE BRAINLIEST TO BEST ANSWER WTH STEP BY STEP DIRECTIONS!!!
For n = 2d² - 5 when d = -2, what does n equal?
Answer:
n=3 (there's no way I can explain this I can only give you the answer)
Step-by-step explanation:
You and 5 friends are going to see a movie. Each movie ticket costs $8. Complete the equation to show which operation to use and how much all the movie tickets will cost. Then complete the sentence to explain yourreasoning.
Answer:
Step-by-step explanation:
Cost of 1 ticket = $ 8
Cost of 6 tickets = 8*6 = $ 48
Question Help
Cora bought 80 feet of cable for $22.40. She needs 30 more feet. If the unit price is the same, how much will she pay for the extra 30 feet of cable she will pay extra $ how much will she pay
Answer:
$8.40
Step-by-step explanation:
divide 22.40 buy how much feet (22.40 divide by 80=0.28) 28cents per foot
0.28 plus the 30 more feet and the 80 feet she already has
80 plus 30 is 110
110 (the amount of feet in cable) times 28 cents a foot is
she will pay 30.80 which is 30.80
-22.40
8 dollars and 40 cents more
(1/4)^2 / (-5/9)
PLASE SHOW WORK!!! :)
Please help me find this in the simplest form
Step-by-step explanation:
[tex] = \frac{1}{4} \div 9[/tex]
[tex] = \frac{1}{4} \times \frac{1}{9} [/tex]
[tex] = \frac{1}{36} [/tex]
[tex] \: [/tex]
[tex] = 9 \div \frac{1}{4} [/tex]
[tex] = 9 \times 4[/tex]
[tex] = 36[/tex]
Hi there!
When dividing fractions, we flop over the fraction that we divide by and multiply by it instead. Look what happens:
[tex]\frac{1}{4} :\frac{9}{1} =\frac{1}{4} *\frac{1}{9}[/tex]
Now we multiply the numerator by the numerator and the denominator times the denominator:
[tex]\frac{1}{36}[/tex]
Now we do the same thing with the following fractions:
[tex]\frac{9}{1} :\frac{1}{4} =\frac{9}{1} *\frac{4}{1} =36[/tex]
Therefore, our answers are: [tex]\frac{1}{36}[/tex] and 36.Hope this helps!
~Just a felicitous girlie
#HaveASplendidDay
[tex]SilentNature :)[/tex]
Question
A large male giraffe needs to eat at least 75 pounds of food each day. At each feeding, the giraffe is fed 3 pounds of food. The giraffe has already consumed 24 pounds of food. How many more times x does the giraffe need to be fed? Write your answer as an inequality.
Answer:
How many more times x does the giraffe need to be fed?
a) 17 times
Write your answer as an inequality
Let x represent the number of feedings left.
1/3(75 - 24) ≤ x
= (25 - 8) ≤ x
= 17 ≤ x
Step-by-step explanation:
A large male giraffe needs to eat at least 75 pounds of food each day.
At each feeding, the giraffe is fed 3 pounds of food.
Hence,
3 pounds of food = 1 feeding
75 pounds of food =
= 75/3
= 25 feedings.
That means in a day, the giraffe is fed 25 times.
The giraffe has already consumed 24 pounds of food. How many more times x does the giraffe need to be fed?
3pounds of food = 1 feeding
24 pounds of food =
Cross Multiply
= 24/3
= 8 feedings.
From the calculation here, the cloth has already fed the giraffe 8 times
Hence,
= 25feedings - 8 feedings
= 17 Feedings left.
Hence, the giraffe has 17 Feedings left to go.
Write your answer as an inequality
Let x represent the number of feedings left.
1/3(75 - 24) ≤ x
= (25 - 8) ≤ x
= 17 ≤ x
Step-by-step explanation:
Can someone please help me with this question? :D
Answer:
refer to the picture for the answer
hope you understand and it helps
A two digit number is such that the one's digit is four more than the tens digit and the sum of the digits is 14. find the number??
Answer:
Wyzant
SOLVE IT
Chi Y. asked • 07/27/18
The sum of the digits of a 2-digit number is 14. If it’s digit are reversed, the original number is increased by 18. What is the number?
There is no format. I just the answer ASAP.
Follow2
Add comment
More
2 Answers By Expert Tutors
By:
Best
Andy C. answered • 07/27/18
TUTOR 4.9 (27)
Math/Physics Tutor
SEE TUTORS LIKE THIS
Here is the algebraic solution:
T is the tens digit
O is the ones digit
T+O = 14
So O = 14 - T <---- this is the first equation
The original number is 10*T + O
If the digits are reversed the original number is increased by 18.
The number if the digits are reversed is:
10*O + T = 10*T + O + 18
10*(14-T) + T = 10*T + (14-T) + 18 <--- substitutes O with 14-T per first equation above in bold
140 - 10T + T = 10T + 14 - T + 18 <--- distributive left side
140 - 9T = 9T + 32
140 = 9T + 9T + 32
140 - 32 = 9T + 9T
108 = 18T
108/18 = T
T= 6
THe tens digit is 6.
The ones digit must be 8.
Reversing 86 - 68 = 18
The original number is 68.
I need help please...
hi hun!
From what I understand, ill explain to the best of my knowledge so u understand!
First. off they asked for "proportionality" basically asking for the rate it's growing at or weeks its taking.
I see that:
Flower 1: 6 inches
Flower 2: 10 inches
Flower 3: 14 inches
The proportionality which these flowers are growing at is 4 inches every two weeks.
And I also see:
Week 3
Week 5
Week 7
When u look closer u can see that the weeks are divisible by the inches for each of the flowers and each answer u get is 2!
And also just by looking at the weeks which are 2 weeks separate if u count them.
Week 3 would be:
6/3=2
Week 5 would be:
10/5=2
Week 7 would be:
14/7=2
so the proportionality is 2! c:
- Castiel (She/They)
(X^3 - 1/2x^2 + x) + (x^2 - x/4 - 5)
I need help figure if this out
Answer:
[tex]x^3+\frac{-x^2-x}{4}+x+x^2-5[/tex]
Step-by-step explanation:
[tex](x^3-(\frac{x}{2})^2 +x) + (x^2-\frac{x}{4} -5)[/tex]
The addition sign between the sets of parentheses means to add the two equations together by combining like terms
There is only one term raised to the 3rd power so that remains the same.
Next you have -1/2x ^2 + x ^2 = 1/2x ^2
Then x + -x/4 = 3/4x
And -5 is the only term with no variable so that remains the same.
Now combine into one line:
X ^3 +1/2x^2 + 3/4x -5
In the library, 68% of the desks have computers. If 17 desks have computers, how many total desks does the library have?
Answer:
25 desks
Step-by-step explanation:x(68%)=17
x(0.68)=17
x=17/0.68
x=25
In the library, computers are on 68% of the desks. The library has 25 desks in total, 17 of which have computers.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
It is given that, in the library, 68% of the desks have computers. If 17 desks have computers.
Suppose the total number of desks is x.
68 % of x = 17
(68/100) × x = 17
x =(17×100) /68
x =25 desks
Thus, in the library, computers are on 68% of the desks. The library has 25 desks in total, 17 of which have computers.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ5
Paul works at a local grocery store. He worked 15 hours this week. Last week he worked 2.5 times as many hours as he worked this week. How many hours did Paul work last week?
Answer:
37.5 hours
Step-by-step explanation:
15 x2.5 = 37.5
Decide whether each of the following relations is a function. Explain your answer.
Input Outputs Functions?
(A) States Capitals
(B) States Cities
(C) Families Pets
(D) Families Last names
The functions are option (A) States Capitals and option (D) Families Last names
A function is a rule that determines the relationship between one variable and another. If we have a variable which we input into the relationship and gives a unique value for the other variable, the input value is the independent variable while the output is the dependent variable.
For an expression to be function, we must have a unique value of output for every value of input.
So, for option A, States have a unique capital, so it is a function.For option B, States have many cities, so the output is not unique, so it is not a function.For option C, Families can have many pets, so the output is not unique. So, it is not a function.For option D, Families can have only one last name, so the output is unique. So, it is a function.So, the functions are option (A) States Capitals and option (D) Families Last names
Learn more about functions here:
https://brainly.com/question/15738866
How do you write 2.09 × 105 in standard form?
Answer:
219.45
Step-by-step explanation:
= 2.09 x 105
multiply : 219.45
Put in Standard form : It is in standard form as 219.45
Part III: The number √21 is a(n) __________ number because __________. (2 points)
Answer:
Step-by-step explanation:
Irrational number
It is a radical.
18 divided by 3 what does if;ooooooooooooooooooooooooooooooouj.
Answer:
6
Step-by-step explanation:
18 divided into 3 equal parts gets you 6 in each group. So the answer is 6
Answer:
6
Step-by-step explanation:
twenty-two and eight hundred forty-six thousandths in standard form is
Answer:
22.846Step-by-step explanation:
Twenty-two and eight hundred forty-six thousandths in standard form:
22.846Answer:
22.0846
Step-by-step explanation:
Sorry if the answer is wrong
and I have 100,000,000,000,000,000, barbie dolls beat that
Answer:
I have wayyyyyyyyyyyyyy more than u i have 100,000,000,000,000,000,000
Step-by-step explanation:
PLS HELP ILL GIVE BRAINLIEST
Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 30. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.
Answer:
Kim's age is twice of that of her sister. We'll let k2 = Kim and k = Kim's sister.
So, k2. When you add Kim's age to her sister age you get 30.
Because Kim is twice the age of her sister k2. And because it said 'add' then we put a + sign. k2 + s = 30. Now let's solve it.
k2 + k = 30 < Given
3k = 30 < Combine like terms
k = 10 < Divide both sides by 3
We know Kim's sister is 10 y/o but what about Kim herself? Earlier we assigned Kim to k2. Substitute 10 for k and you get 10(2) = 20
Kim's sister is 10 y/o and Kim is 20 y/o
Step-by-step explanation:
Find the Domain to this to be brainlest
Answer:
Its the x of the (X,Y)
Step-by-step explanation:
8th-grade need help asap
Answer:
A. x ≤ -2
Hope this helps!
[tex] - 2(5x + 3) \geqslant 14[/tex]
Divide both sides by -2
[tex] \frac{ - 2(5x + 3)}{ - 2} \leqslant \frac{14}{ - 2} \\ [/tex]
[tex]5x + 3 \leqslant - 7[/tex]
Subtract both sides 3
[tex]5x + 3 - 3 \leqslant - 7 - 3[/tex]
[tex]5x \leqslant - 10[/tex]
Divide both sides by 5
[tex] \frac{5x}{5} \leqslant \frac{ - 10}{5} \\ [/tex]
[tex]x \leqslant - 2[/tex]
Can anyone help me with this question please I really need help
Answer: A.
Step-by-step explanation:
Help please!! I do not understand
Answer:
m=3+ [tex]\frac{8}{w}[/tex]-[tex]\frac{8}{w^{2} }[/tex]
Step-by-step explanation:
345.00 divided by .072 rounded to nearest tenth
the ans is 0.72, your answer is 479.20
Step-by-step explanation:
The solution to the given decimal division is calculated as: 479.17
How to divide decimal numbers?To divide decimals, we need to convert both numbers to a simple unit and divide to get:
345.00/0.072
We know that 0.072 can be written as:
0.072 = 72 * 10⁻³
345.00 can be written as:
345.00 = 34500 * 10⁻²
Thus, we have:
(34500 * 10⁻²)/(72 * 10⁻³)
= (34500/72) * (10⁻²/10⁻³)
= 479.17 * 10
= 479.17
Read more about Decimal Divisions at: https://brainly.com/question/11786124
#SPJ3
what does this mean help
Answer:
where is the question????
Which is the graph of the equation?
Answer:
y = [tex]\frac{2}{3}[/tex]x - 1
Step-by-step explanation:
It should have a positive slope of 2/3 and a y intercept at -1
You decide to purchase a monthly subscription to Netflix. After 2 months, you have $350 in your bank
account. After 6 months, you have $314 in your bank account.
Answer:
Netflix costs 9 dollars a month
Step-by-step explanation:
the difference in balance between 2 months and 6 moths is 36 dollars. That is a 4 month period. 36/4=9
Find f(3) for
f(x) = 2x-1
Answer:
f(x) = 2x-1
f(3) = 2(3)-1
3f = 6-1
3f = 5