So we have determined that the domain of g(t) is all the values of t for which 8t s 1. We can find the upper bound of this domain by solving 8t = 1 to obtain tso 0 Step 3 Therefore, we conclude that the domain of g(t) = V1 – gt is? (Enter your answer in interval notation.)

Answers

Answer 1

The domain of g(t) = V1 – gt is [0, 1/8).

To find the domain of a function, we need to determine the values of the independent variable for which the expression defining the function is valid. In this case, the function is g(t) = 1 - gt, and we are given that 8t ≤ 1. Solving for t, we find that t ≤ 1/8.

This means that any value of t that satisfies 0 ≤ t ≤ 1/8 is in the domain of the function g(t). We can write this interval in interval notation as [0, 1/8].\

Therefore, the domain of the function g(t) is the closed interval (0, 1/8], which includes both endpoints since they are valid values of t that make the expression for g(t) defined.

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Related Questions

Which value from the set
{1/2, 2/3, 4/3,5/2} is a value of x that will make the equation 3/4 + x = 9/8 true?
a.2/3
b.4/3
c.5/2
d.1/2

Answers

Answer:

2/3

Step-by-step explanation:

that does not say + it a division sign  how to got 2/3

(3/4) / x = (9/8)

To solve this equation, we want x alone so we start by multiplying x on both sides like this:

((3/4) / x)x = (9/8)x

Which equals:

(3/4) = (9/8)x

Then we divide each side by 9/8 to like this:

(3/4) / (9/8) = ((9/8)x) / (9/8)

(3/4) / (9/8) is 2/3 and ((9/8)x) / (9/8) leaves x which means we end up with x = 2/3. Therefore, the answer to "3/4 divided by what equals 9/8?" is as follows:

2/3

It is always good to double-check your math to make sure you did it right. When we entered 2/3 for x in this equation (3/4) / x = (9/8), we get the following true equation which means our math is correct.

(3/4) / (2/3) = (9/8)

The value of x will be 2/3

What is an equation?

Equation: An equation is basically a statement that equates two expressions.

An equation must contain an "equality" sign.

Given,

3/4 + x = 9/8

Let us make it correct . Replace + sign with / to get the required answer.

(3/4) / x = (9/8)

To solve this equation, we want x alone so we start by multiplying x on both sides like this:

((3/4) / x)x = (9/8)x

(3/4) = (9/8)x

Then we divide each side by 9/8 to like this:

(3/4) / (9/8) = ((9/8)x) / (9/8)

(3/4) / (9/8) is 2/3 and ((9/8)x) / (9/8) leaves x which means we end up with x = 2/3.

Therefore, the answer to "3/4 divided by what equals 9/8?" is as follows:2/3

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Find the equation in general form of the circle whose center is at (0,3) and

passing through the point (-2,1).​

Answers

Answer:

5.0

Step-by-step explanation:

A landscaping company estimates the price of a job,in dollars, using the expression 60 + 12nh, where n is the number of
landscapers who will be working and h is the total number of hours the job will take using n landscapers. Which of the
following is the best interpretation of the number 12 in the expression?
A The company charges $12 per hour for each landscaper.
B A minimum of 12 landscapers will work on each job.
The price of every job increases by $12 every hour.
D Each landscaper works 12 hours a day

Answers

A is your correct answer.

Is 14,48,50 a Pythagorean triplet
Step by step explanation please

Answers

Answer:

yes

Step-by-step explanation:

If the values are a Pythagorean triplet then the square of the largest value should equal the sum of the squares of the other 2

largest value = 50 ⇒ 50² = 2500

14² + 48² = 196 + 2304 = 2500

Since 50² = 14² + 48² then 14, 48, 50 are a Pythagorean triplet

Yes, it is a Pythagorean triplet. Refer to below for details as to how it is:

The height of 5 boys is 5.4 ft, 6.12 ft., 7.02 ft. 4.9 ft, and 6.25 ft. What is the average
height of these 5 boys?
What are the operation to solve the problem?
pls answer ​

Answers

Wll not just this question, but whenever you need to find average, you have to:

Wait, for example let's take ur question:

1st step we will add up all the values aka heights:

5.4+6.12+7.02+4.9+6.25=29.69

And then how many values did you take???

Its, 5 values

1st value= 5.4

2nd value=6.12

aaand so on....

However, then we will have to divide the sum by no.of values

29.69÷5=5.938

Aaand this is your FINAL ANSWER

Done!!!!

Hope I helped you!!!

Step-by-step explanation:

For the average height of fhe boys:

[tex] \frac{5.4ft + 6.12ft + 7.02ft + 4.9ft + 6.25ft}{5} \\ = 5.938 \: ft[/tex]

In solving for the average height, we used addition and division operations.

PLEASE HELP IF RIGHT WILL GIVE BRAINLIEST!!

Answers

Answer:

{-8, -4, 0, 4, 8}

Step-by-step explanation:

brainliest please

Answer:

D

Step-by-step explanation

The numbers in replace of x result in answers that equal or are greater than 0.

What is 50% of 82 ? Please help !!

Answers

If you mean like half then 31?

Answer:

The answer is 41

Step-by-step explanation:

School A has graduated 1,700 students and graduates
50 students every year. School B has graduated 600
students, but graduates 150 every year. How many years (Y)
will it be before School B has as many graduates as School A?

Answers

Answer:

the answer is 11 years

Step-by-step explanation:

if school A is graduated 50/years,

the graduated in 11 years is 550

added of graduated 1,700 in 550 is 2,250

if school B is graduated 150/years,

the graduated in 11 years is 1650

added of graduated 600 in 1650 is 2,250

so School A and B is to be equal in 11 years

evaluate the expression and enter your answer below

5x(4+5)-7^2

It's 5 times not X and 7 to the power ​

Answers

Answer:

hope it helps u

hope u find it helpful

OML PLEASE HELP! GIVING BRAINLIEST PLEASEE. Instruction are to answer all 3 questions naming their angle 4 ways. PLEASE

Answers

Answer: where is the image if there is ment to be one

Step-by-step explanation:


Which expression is equivalent to 3x/x+1 divided by x + 1?

Answers

Answer:3x+4/x+1

Step-by-step explanation:

PLease help asap!!! :)

Answers

7,3,10 are the answers

the city of luckett is pilling rock salt for use during ice storms. if the pile from last year is 29 feet high and 14 feet are added this year, how high is the pile of rock salt?

Answers

29 + 14 = 43

The pile of rock salt is 43 feet high

For the equation 3(7+x)=3x+k, what value of k will create an equation with infinitely many solutions?

Answers

Answer: k = 21

Step-by-step explanation:

3(7 + x) = 3x + k

21 + 3x = 3x + k

21 + 3x - 3x = 3x + k - 3x

k = 21

Factor f(x) = 4x2 + 11x? - 104x + 105 into linear factors given that – 7 is a zero of f(x).
f(x) = 4x + 11x2 - 104x + 105 = |
(Factor completely.)

Answers

Answer:

f(x) = 4x + 11x2 - 104x + 105  =  (x - 3)(x + 7)(4x - 5)

Step-by-step explanation:

f(x) = 4x^3 + 11x2 - 104x + 105

has the coefficients {4, 11 -104, 105}.  We perform synthetic division using the given -7 as divisor:

-7   /   4      11     -104     105

                -28     119     -105

     -----------------------------------

          4      -17      15         0

Since the remainder is zero (0), we have shown that -7 is a zero of f(x).  The coefficients of the quotient (above) are {4, -17, 15}.  Let's try factoring the corresponding polynomial again using synthetic division.  Start out by using 5 as divisor and determining whether or not the remaindeer is zero:

5    /     4     -17      15

                    20     15

     -------------------------

             4        3     30           No, the remainder is 30 and so 5 is not a

                                               root of this quadratic.  Try the divisor 3 instead:

3     /     4      -17      15

                      12      -15

      ---------------------------

             4       -5        0        Yes, the remainder is 0 and so 3 is a root.

Thus, the given f(x) = 4x + 11x2 - 104x + 105 factors as follows:

f(x) = 4x + 11x2 - 104x + 105  =  (x - 3)(x + 7)(4x - 5).  Notice that the coefficients of the last factor come from those we found above when using 3 as a divisor in synthetic division.  

It is solving equations, Please tell me the answers and if you can show the work then that would be nice too.

Answers

Answer:

16. 53 = 14.50 + p  The answer is 38.50. 17a. Your final bowling score is 105-14, which is equal to 91.

Step-by-step explanation:

53 = 14.50 + p

53-14.50=p

38.50=p

For b... I don't know what a "10nth frame" is. Or a spare. Sorry...

A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level.
A.What’s the difference in height between the pelican and the heron?
B.What’s the distance in height between the pelican.
C.what’s the difference in height between the pelican and the trout.
D.What’s the distance in height between the pelican and the trout.

Answers

Answer:

Step-by-step explanation:

Your answer

A = 73

B= 33

C = 40

D = 40

Mark it as Brainlist answer. Follow me.

What is is this graph representing??
A. Linear
B. Exponential
C. Neither

Answers

We know that a linear equation has a straight line graph. The graph represents an exponential equation or a quadratic equation. So the answer is B. Exponential

x + y = 400
10x + 5y = 2750

Answers

Answer:

fart

Step-by-step explanation:

X = 150
Y = 250
150 + 250 = 400
10(150) + 5(250) = 2750
1500 + 1250 = 2750

Mr. Patel bought lunch at a restaurant for $7.35. If he paid with a $10.00 bill, how much change did he get back?

A.
$2.55

B.
$2.65

C.
$3.35

D.
$3.65

Answers

Answer:

b. $2.65

Step-by-step explanation:

$10.00 - $7.35 = ?

$10.00 - $7.35 = $2.65

Answer:

your answer would be b. $2.65

Solve this literal simultaneous equation for x and y.
[tex]ax+by=c[/tex]
[tex]bx+ay=c[/tex]

Answers

Answer:

The answer is below

Step-by-step explanation:

Firstly, let us find the value of x. Multiply the first equation by a and the second equation by b to get:

a²x + aby = ca             (3)

b²x + aby = cb             (4)

Subtract equation 4 from equation 3 to get:

x(a² - b²) = c(a - b)

but a² - b² = (a + b)(a - b)

x(a + b)(a - b) = c(a - b)

x(a + b) = c

[tex]x=\frac{c}{a+b}[/tex]

Secondly, let us find the value of y. Multiply the first equation by b and the second equation by a to get:

abx + b²y = cb             (5)

abx + a²y = ca              (6)

Subtract equation 5 from equation 6 to get:

y(a² - b²) = c(a - b)

but a² - b² = (a + b)(a - b)

y(a + b)(a - b) = c(a - b)

y(a + b) = c

[tex]y=\frac{c}{a+b}[/tex]

What’s the slope of line 1

Answers

Answer:

the slope in line 1 is a

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

→ Utilise the gradient formula

(y₂ - y₁) ÷ (x₂ - x₁)

→ Substitute in the numbers

(2 - -6) ÷ (1--1)

→ Simplify

4

!!!! Rectangle A’B’C’D is the image of rectangle ABCD after which of the following translations

Answers

Answer:

C

Step-by-step explanation:

How many 3/4 pound weights can be made from 6 pounds of steel?​

Answers

Answer:

8

Step-by-step explanation:

An orchand has 8 times more apple trees than pear trees. There are 981 trees in all. How many more apple trees are there

Answers

Answer:

763

Step-by-step explanation:

there are 763 more apple trees than pear trees

Step-by-step explanation:

so, first we write the words into equations.

8P = A because there are 8x apples per x pear, so to make it equal we must multiply pears by 8. P+A = 981. replacing "A" in the second equation with "8P" to get P+8P=981=9P divide both sides by 9 to get 109 pear trees. knowing this we can get 981-109=A=872 apple trees. the problem asks for A-P  which we can replace the numbers to get (872)-(109)=763 more trees

Answer:122.625

Step-by-step explanation:981 divided by 8 equals 122.625

The boys' basketball team at Washington High School has been doing really well so far this year. In the past six games, they've scored the following points.

84, 67, 74, 87, 67, 73

What is the mean of their scores?

20
67
73.5
75.3

Answers

Answer:75.3

Step-by-step explanation:

Add all the numbers then divide by how many numbers their are

Answer:

75.3

Step-by-step explanation:

You add all the numbers together and you get 452. Then you you divide 452 by how many numbers are in the set which is 6 and you get 75.2 but since there is 75.3 but no 75.2, 75.3 is your anwser.

Hope this explains a lot!!!!!!!!!!!!!!

help me plz if you can

Answers

Answer:

The first problem the answer is x= -25/4

Step-by-step explanation:

Which of the following is a factor of 7x2 + 42x - 49
x2 + 49
x+7
X-7
x+ 1

Answers

Answer:

[tex]x + 7[/tex]

is the answer because 7×2+42x-49


Helppppp plsss
180 35 what is x

Answers

I believe 145
X + 35 = 180

I NEED HELP ASAP WILL GIVE BRAINLYEST

Answers

Answer: D. 25

Step-by-step explanation:

Answer:

the answer is 25

Step-by-step explanation:

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TRUE OR FALSE mill claims that the government is justified in preventing individuals from harming themselves. all enzymes require their substrate for activity, but citrate synthase is specifically labeled as being sensitive to substrate availability. a). which substrate is it particularly sensitive to? economists argue that most professional athletes___ Which of the following was not one of the reasons that the union movement weakened in the 1920s?A. Overall wage rates rose steadily in the 1920s.B. The older craft-based pattern of union organization was ill suited to the new mass-production industries.C. Management was hostile to labor organizing.D. Opponents smeared unions by labeling them "communist"E. Inequities and regional variations in wages were eliminated through the Federal Fair Wages Act. true or false: citations should be used throughout your business report. Derive an expression for the transfer function H(f)=V out /V in for the circuit shown in Figure P6.34. Find an expression for the half-power frequency. b. Given R 1 =50, R 2 =50, and L=15H, sketch (or use MATLAB to plot) the magnitude of the transfer function versus frequency. Figure P6.34 mendenhall and oddou's dimension known as blank______ is seen as a predictor of success in a foreign posting due to the individual's high self-esteem and self-confidence. calculate the number of moles of solute in 83.85 ml of 0.1065 m k2cr2o7(aq). When comparing more than two treatment means, why should you use an analysis of variance instead of using several t tests?a.Using several t tests increases the risk of a Type I error.b.Using several t tests increases the risk of a Type II error.c.The analysis of variance is more likely to detect a treatment effect.d.There is no advantage to using an analysis of variance instead of several t tests. KN For a soil deposit in the field, the dry unit weight is 1.49 From the laboratory, the following were determined: G = 2.66, emax = 0.89, emin = 0.48. Find the relative density in the field. m3 Charlotte receives a business letter in which the writer provides the pronoun list: they, them, and their. Considering this, which of the following courtesy titles should Charlotte use for her response to the letter?Mx.Mrs.Ms.MissMr. I need the steps for this one during which of the following stages is an administrative record of an arrest made The pet store has 6 puppies, 9 kittens, 4 lizards, and 5 snakes. if you select five pets from the store randomly, what is the probability that at least one of the pets is a puppy? find the rea of the windows express the test statistic t in terms of the effect size d and the common sample size n. Which two devices commonly affect wireless networks? (Choose two.)Blu-ray playershome theaterscordless phonesmicrowavesincandescent light bulbsexternal hard drives Consider the following. A = 14 60 3 13 , P = 4 5 1 1 (a) Verify that A is diagonalizable by computing P1AP.(b) Use the result of part (a) and the theorem below to find the eigenvalues of A.Similar Matrices Have the Same EigenvaluesIf A and B are similar n n matrices, then they have the same eigenvalues.(1, 2) = When programming the implementation for the ArrayBag, which strategy was recommended as the most efficient way to avoid gaps in the array when an element is removed? a. Shift all the entries beyond the gap back to the preceding slot in the array and then decrease the number of items in the bag. b. Shift all the entries in front of the gap forward to the next slot in the array and then decrease the number of items in the bag. c. Set the pointer in the entry before the gap to the entry after the gap and then decrease the number of items in the bag. d. Replace the entry being removed with the last entry in the array and then decrease the number of items in the bag. e. a and d are both efficient strategies which nims management characteristic includes developing