What is the domain of D(t) as it applies in this situation?
Answer:
t could be all real numbers.
Step-by-step explanation:
The function D(t) is given by:
[tex]D(t)=-1.5t+12[/tex]
The domain is all the posible x-values for which the function is defined.
In our case, t could be all real numbers.
The answer is the first option.
I hope it helps you!
find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that Rn(x) → 0.] Find the associated radius of convergence R. f(x) = 6(1 − x)−2 Step 1 The Maclaurin series formula is f(0) + f '(0)x + f ''(0) 2! x2 + f '''(0) 3! x3 + f (4)(0) 4! x4 + .
Answer:
= ∑ 6*n*x^n-1
Radius of convergence = 1
Step-by-step explanation:
f(x) = 6(1-x)^-2
Maclaurin series can be expressed using the formula
f(x) = f(0) + f '(0)x + f ''(0)/ 2! (x)^2 + f '''(0)/3! (x)^3 + f (4)(0) 4! x4 + .
attached below is the detailed solution
Radius of convergence = 1
The Maclaurin series for f(x) = 6 / (1 - x )^2 = ∑ 6*n*x^n-1 ( boundary ; ∞ and n = 1 )
Janie can stuff 30 envelops in one minute. Find an expression for the number of envelopes she can stuff in n hours?
Which of the following are integer solutions to the inequality below?
−2≤×<3
Answer:
-2, - 1, 0, 1, 2
Step-by-step explanation:
The greater than or equal to sign (≤) demonstrates that the unknown is equal to -2 and greater, but is less than 3, so the largest integer solution is 2, not 3
Find the median in the following numbers:21,19,17,18,15,19,45
Carin opened a money market account with a deposit of $3,000. This account earns 2% simple interest annually. How many years will it take for her $3,000 deposit to earn $430 in interest, assuming she does not withdraw any of the money?
Answer:
The correct answer is - 7.166 years
Step-by-step explanation:
Given:
principle amount: 3000
rate of interest: 2%
time?
Interent to get: 430
Formula:
I = P*t*r/100
here p = principle
I = interest
r = rate of intrest and t = time
Solution putting value and deriving Time as formula:
(3000*2*t)/100 = 430
t = 43000/3000*2
= 7.166 years.
Compare 3/10 and 1/5 by creating common denominators. then draw fractions models to show that you have written the correct sign. PELASEEEEEE
Answer:
[tex]\implies \dfrac{2}{10}< \dfrac{3}{10} [/tex]
Step-by-step explanation:
We need to compare the given two fractions .The given fractions are ,
[tex]\implies \dfrac{3}{10} [/tex]
[tex]\implies \dfrac{1}{5} [/tex]
Firstly let's convert them into like fractions . By multiplying 1/5 by 2/2 . We have ,
[tex]\implies \dfrac{1}{5} =\dfrac{1*2}{5*2}=\dfrac{2}{10} [/tex]
Now on comparing 2/10 and 3/10 we see that ,
[tex]\implies 2< 3 [/tex]
Therefore ,
[tex]\implies \dfrac{2}{10}< \dfrac{3}{10} [/tex]
What is the value of x in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
9514 1404 393
Answer:
A. 7.2
Step-by-step explanation:
In this geometry, all of the right triangles are similar. This means corresponding sides have the same ratio.
short side/hypotenuse = x/12 = 12/20
Multiplying by 12 gives ...
x = 12(12/20) = 144/20
x = 7.2
plz g0ive me solution
Answer:
separate the x from the numbers it will make the equation easier
If the cutoff Z score on the comparison distribution is 2.33 and the sample value has a score of 2.35 on the comparison distribution, the correct decision is to:____.
A) fail to reject the null hypothesis.
B) reject the null hypothesis.
C) accept the researc hypothesis.
D) reject the research hypothesis.
Answer:
B) reject the null hypothesis.
Step-by-step explanation:
You are on a 5.6-mile run and have already run 1.98 miles. How many more miles do you need to run?
Answer:
3.62 miles need to be run
A driveway is in the shape of a rectangle 30 feet wide by 35 feet long. Find the perimeter in feet. & Find the area in square feet.
help me guys, I really need your help
Answer:
The answer should be like this;
a) A-B
b) BUC
c) C-A
HAVE A NİCE DAY
Step-by-step explanation:
GREETİNGS FROM TURKEY ツ
Does it pay to ask for a raise? A national survey of heads of households showed the percentage of those who asked for a raise and the percentage who got one. According to the survey, of the men interviewed, 21% had asked for a raise and 60% of the men who had asked for a raise received the raise. If a man is selected at random from the survey population of men, find the following probabilities. (Enter your answers to three decimal places.)
Answer:
a) P(man asked for a raise) = 0.21.
b) P(man received raise, given he asked for one) = 0.6.
c) P(man asked for raise and received raise) = 0.126.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
Question a:
21% asked for a raise, so:
P(man asked for a raise) = 0.21.
Question b:
Event A: Asked for a raise.
Event B: Received a raise:
21% had asked for a raise and 60% of the men who had asked for a raise received the raise:
This means that [tex]P(A) = 0.21, P(A \cap B) = 0.21*0.6[/tex], thus:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.21*0.6}{0.6} = 0.6[/tex]
P(man received raise, given he asked for one) = 0.6.
Question c:
[tex]P(A \cap B) = 0.21*0.6 = 0.126[/tex]
P(man asked for raise and received raise) = 0.126.
If llm and m<6 = 4x - 15 and m<7 = x + 30, then m<6=
Answer:
Step-by-step explanation:
There are only 2 angle values that <1 to <8 can be. The two values add up to 180
In this case <6 and <7 are equal.
<6 = 4x - 15
<7 = x + 30
4x - 15 = x + 30 Subtract x from both sides
4x-x - 15 = 30 Add 15 to both sides
3x = 30 + 15
3x = 45 Divide by 3
x = 45 / 3
x = 15
<6 = 4x - 15
<6 = 4*15 - 15
<6 = 60 - 15
<6 = 45
Which of the following shows the graph of y = 4^x + 3?
The images of the graphs are missing and so i have attached them.
Answer:
Graph in option A
Step-by-step explanation:
y = 4^(x) + 3
Let's input some values of x and find the corresponding value of y and see if any of the graph matches the coordinates we get.
At x = 0;
y = 4^(0) + 3
y = 4
At x = 1;
y = 4^(1) + 3
y = 7
At x = 2;
y = 4^(2) + 3
y = 19
Looking at all the graphs, the only one with y = 4 when x = 0 is graph A
If [infinity]∑n=0cn9n is convergent, does it follow that the following series are convergent? (a) [infinity]∑n=0cn(−3)n
Given: The series ∑cₙ[tex]9^n[/tex] is convergent
To find: The series ∑cₙ[tex](-3)^n[/tex] is convergent or not.
Solution: If the radius of convergence R the we can conclude that R≥4
So, the series will converge as -3<9.
a drum has a diameter of 10 inches. find the area of the top of the drum. use 3.14 for pi.
.
.
.
Please show to work too. Thank you.
Answer:
My answer is 78.55
Step-by-step explanation:
I've given the steps. Hope it really helps
Answer: 78.5 inches
Step-by-step explanation:
Area = Pi x r x r
Diameter = 10 in
Radius = 5 in
314/100 x 5 x 5 = 314/4
314/4 = 78.5
= 78.5 inches
The club will use the majority criterion method to determine the final winner. However, while finalizing the votes, a member of the club discovers that Mason did not meet the original criteria to be considered for the vacation package, because he is a county deputy, not a city police person, so Mason is eliminated from the votes. Who actually will win the tickets? Is the irrelevant alternative criterion supported in this case?
Answer and Explanation:
The irrelevant alternative criterion states that if two candidates A and B contest for an election and candidate B is preferred to candidate A then any other candidate X should not cause candidate A to win the election.
In this case if Mason was candidate A, then candidate B should still win by the majority criterion method and the irrelevant alternative criterion would still be supported. However if he is candidate B then the irrelevant alternative criterion is not supported.
How's The online class？
Answer:
weak
Step-by-step explanation:
i dont be having fun at all
Identify the quantities that are equivalent to 250 meters.
Ratio Conversion Table
kilometer (km) : meter (m) 1 : 1,000
meter (m) : centimeter (cm) 1 : 100
centimeter (cm) : millimeter (mm) 1 : 10
Answer:
1. Convert all measurements to meters:
2.5km * 1,000 = 2,500m;.250km * 1,000 = 250m; 2,500cm / 100 = 25m
25,000cm / 100 = 250m; 250mm / 1,000 =.25m
2.) Compare the converted measurements. Therefore, the quantities that are equivalent to 250m are:
.250km; 25,000cm
Step-by-step explanation:
what is the graph of this function?
Answer:
You MADE IT EASY
Step-by-step explanation:
[tex] {y - 5 \times 9}^{2} \: times \: sevem \\ n \: equals \sec(x + {}^{2} ) [/tex]
Sarah ordered 39 shirts that cost $8 each. She can sell each shirt for $16.19. She sold 32 shirts to customers. She had to return 7 shirts and pay a $1.4 charge for each returned shirt. Find Sarah's profit.
her profit is 204 dollars and 68 cents= 204.68
what number must you add to complete the square x^2+12x=40
Step-by-step explanation:
x²+12x=40
(x+6)²-6²-40=0
(x+6)²-76 = 0
Help asap please!!..
Answer:
9x² - 4/3x + ¼
Step-by-step explanation:
(3x - ½)²
(3x - ½)(3x -½)
9x² - ⅔x - ⅔x + ¼
9x² - 4/3x + ¼
Please help ASAP!!! Thank you!!!
Step-by-step explanation:
1) = Solution
(3x+2)(x-1) = 3x^2 - 3x+2x-2
= 3x^2 - x - 2
2) = (x-5)(2x+3)
= 2x^2 + 3x - 10x - 15
= 2x^2 - 7x - 15
3) = (2x+5)(3x-2)
= 6x^2 - 4x + 15x - 10
= 6x^2 + 11x - 10
Joyce paid $60.00 for an item at the store that was 50 percent off the original price. What was the original price?
$
Give your answer to the nearest cent.
The area of a circle is 3.142cm square.find the radius and diameter of the circle
Answer:
50.24 or 50.272
Step-by-step explanation:
Square radius and then times by 3.14 or 3.142
4^2*3.14 = 50.24
4^2*3.142 = 50.272
Given the number of hours spent amusing ourselves to death with screen time, how many Titanics could we have built in one year if all those hours had been spent building Titanics
Answer:
12
Step-by-step explanation:
find the unknown value
no link
Answer:
x = 120°y = 75°z = 45°Step-by-step explanation:
Refer to the attachment for the steps.
