Which of the following is equivalent to f(x)?
Answer:
D. [tex]x^{-3/2}[/tex]Step-by-step explanation:
Given function:
[tex]f(x) = \frac{1}{x\sqrt{x} }[/tex]Equivalent expression is:
[tex]\frac{1}{x\sqrt{x} } = x^{-1}x^{-1/2} = x^{-1 - 1/2} = x^{-3/2}[/tex]Correct choice is D
One airline carried 3,720 people on 31 flights between Portland and Los Angeles. If there were the same number on each flight, how many people were on each flight?
Please help ASAP!
Divide total people by total flights:
3720/31 = 120
There was 120 people on each flight
If I ate 80 pieces of candy, how much candy would I have left if I ate 3/4 of the candy
Answer:
20
Step-by-step explanation:
Divide 80 by 4, get 20,
20 40 60 80
Step-by-step explanation:
[tex]thank \: you[/tex]
Find the slope of the line passing through the points (-2, 1) and (3,-7)
[tex]\\ \rm\Rrightarrow Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \rm\Rrightarrow Slope=\dfrac{-7-1}{3+2}[/tex]
[tex]\\ \rm\Rrightarrow Slope=\dfrac{-8}{5}[/tex]
Qualitative forecasting techniques should be applied in situations where time series data exists, but where conditions are expected to change.
A. True
B. False
Answer:
B. False
Step-by-step explanation:
If you invested $7000 for 10 years at an annual interest rate of 3% how much is the accrued interest?
Pls solve it ! urgent plsss
7. Fuji the woodworker sells cribs. His start-up
costs total $2000. Labor and material for
each crib cost $185. If the formula for his
Cost(C) based on (n) number of cribs is:
C=2000 + 185n , Tell what the rate of change
is and what it tells us about Fuji's expenses.
Answer:
The rate of change is 185.
It tells us that Fuji's expenses increase by $185 for each additional crib made.
Step-by-step explanation:
In a linear equation, the rate of change is the change in y over the change in x.
In this situation, that means how much the cost will change based on the amount of cribs that Fuji has to make.
Since labor and material costs for each crib cost $185, 185 is the rate of change.
For every additional crib that Fuji makes, the cost will increase by $185.
So, the rate of change is 185 and it tells us that Fuji's expenses increase by $185 for each additional crib made.
find the quotient of (6x^2+x-12)÷(2x+3)
3x-4 is the quotient okkk
Christine’s video store membership costs $5, and it costs $3.50 to rent a DVD. Christine spent $29.50 her first month. How many DVDs did she rent? Write as an equation.
Answer:
7 DVDs
Step-by-step explanation:
Christine spent $29.50 in total, and $5 on the membership.
so the amount of money spent on DVDs is $29.50 - $5, or $24.50.
The number of DVDs she rent are $24.50 / $3.50 = 7 DVDs
Answer:
7 DVDs
Step-by-step explanation:
We can create an equation to found out how many DVDs she rents. Let d = number of DVDs she rents.
3.50d + 5 = 29.50
~Subtract 5 to both sides
3.50d = 24.50
~Divide 3.50 to both sides
d = 7
Best of Luck!
Help please due today
Answer:
Base: 24 and height:6
Step-by-step explanation:
Answer:
Base: 24
Height: 6
Step-by-step explanation:
The question says a scale factor of 1/2 so divide by 2. It says scale back
so you know as well that your answer is going to get bigger.
Original Base = 48/2 or (48)x(1/2)
Original Height = 12/2 or (12)x(1/2)
Question 2:
You are comparing the price of two different cars. The cost of car A f(x) after x years can be represented by the function:
Car A: f(x) = 22,500(0.88)x
The table shows the cost of car B g(x) after x years:
Car B:
1 year 24,750
2 years 20,495.48
3 years 16,970.26
g(x), cost in dollars
a) Is the cost of Car A increasing or decreasing? How do you know? By what percentage is it changing each year?
b)What is the percent change for Car B?
c)Whose percent change per year is greater, Car A or Car B?
I thinking that the answer is B.
I hate financial maths. 20 points!!!
According to the table,
• € 1 = R 12,75
• $ 1 = € 0,70
• $ 1 = R 8,89
Then
€ 250 × (R 12,75 / € 1) = R 3.187,5
$ 1300 × (€ 0,70 / $ 1) = € 910
$ 680 × (R 8,89 / $ 1) = R 6.045,2
A number is 10 more than another number. Twice the sum of the two numbers is 44. Find the two numbers.
Answer:
The two numbers are 6 and 16
Step-by-step explanation:
16+6=22
22+22=44
The numbers are 6 and 12.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the number are x and y.
A number is 10 more than another number then
x + 10 = y...............(1)
and, Twice the sum of the two numbers is 44.
2(x+y)= 44...........(2)
Solving the above equation we get
x+ y= 22
y-10 + y = 22
2y = 32
y= 16
and, x= y-10 = 16-10= 6
Learn more about Algebra here:
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You are taking flying lessons to get a private pilot's license. The cost of the introductory lesson is 5/8 the cost of each additional lesson, which is $80. You have a total of $375 to spend on the flying lessons. How many lessons can you afford? How much money will you have left?
ANSWER:
Step-by-Step:
Answer: 5 lessons with 5$ left over
Step-by-step explanation:
You can buy 5 lessons because 50 is 5/8 of 80, and 50 + 80 + 80 + 80 + 80 = 370
Find the total surface area.
A. 422 in²
B. 554 in²
C. 638 in²
D. 517 in²
Answer:
c
Step-by-step explanation:
you have to find the surface area of all sides. so (11*11)*2 and (11*9) *4 with this you get c. 638in square.
A car rental service charges a $500 flat fee for a car plus $100
per additional day. Which equation correctly models the total
cost of renting a car for x number of days?
Answer:
100x + 500 = t
Step-by-step explanation:
100x represents the amount you pay for each day you rent the car.
500 represents the flat fee that you only pay once.
t represents the total cost.
Solve the equation
X/24 = 19
Answer:
x = 456
Step-by-step explanation:
X/24 = 19
Multiply 24 by each side
X/24 * 24 = 19*24
x = 456
1 Write the decimal equivalent for 6 3 Choose the correct answer below. 1 A. 6= 6.34 3 1 OB. 6-6.333333 63 OC. 69 = 6.33 D. 65 - 6.3
Answer:
D
Step-by-step explanation:
Find the distance of GF if G(9,1) and F (0,2)
Answer:
9.06 units
Step-by-step explanation:
The distance formula for points on a graph is basically the Pythagorean Theorem
√(x2 - x1)² + (y2 - y1)²
Plug in the values and you'll get √82, which equals about 9.05539, or 9.06
Given m|n, find the value of x.
(8x-20)
(8x+8)
Answer:
x=12
Step-by-step explanation:
(8x-20)+(8x+8)=180
16x-12=180
16x=180+12
16x=192
x=12
Answer:
x = 12
Step-by-step explanation:
The given angles are supplementary. Therefore, they have a sum of 180°.
8x - 20 + 8x + 8 = 180
16x - 12 = 180
16x = 192
x = 12
What is the distance between the points shown on the coordinate plane below? Round your answer to the nearest tenth.
The equation 6x + 5 = 5x + 11 +x-6 is true for all real numbers. Substitute a few real numbers for x to see that this is so and then try solving the equation. Describe
what happens.
Answer:
It will ALWAYS be true!
Step-by-step explanation:
Inputting any real or imaginary numbers such as i or e, (which are also known as complex numbers), and when put in the place of x will ALWAYS equal one another. You could put 1, 2, 3, etc. all the way up to infinity and still get the two equations equal to each other.
Hope this helped!
You have 2 tablets, one is labeled 0.15 mg and the other is labeled 0.3 mg. What is the total dosage of these tablets? a) 0.35 mg b) less than 0.35 mg c) more than 0.35 mg
A piece of string is 1650 cm long.
It is cut into two unequal pieces.
One piece is 150 cm longer than the other.
How long is the smaller piece?
Answer: The smaller piece is 750m long.
Step-by-step explanation:
let the smaller piece be x
so
150m + x + x = 1650
150 + 2x = 1650
or, 2x = 1500
so, x = 750 m
Which word begins with an open syllable?
silly
sister
sofa
softer
The word sofa begins with an open syllable.
Phonetics is the study of the sound of words/ speeches. This branch of linguistics deals with how words and letters sound and classifies them accordingly.
In phonetics, open and closed syllables refer to the specific nature of how the words end. This means that the words that end with a vowel are known as open syllables while the words that end with a consonant are known as closed syllables. Now, looking at the individual words given in the question, we can ascertain that the initial syllables of the words "silly, sister, softer" all ends in a consonant word. On the other hand, the word "sofa" begins with a vowel "o", thereby making it an open syllable.The easiest way to detect an open and closed syllable is by identifying the position or use of the vowels and consonants in a syllable. This makes the word "sofa" an open syllable.
Learn more about open syllable here:
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What is the Answer to 50 + 10 x 0 + 7 + 2
Arithmetic involves carrying out addition, subtraction, division and multiplication on numbers and expressions. The result of [tex]50 + 10 \times 0 + 7 + 2[/tex] is [tex]59[/tex]
Given that:
[tex]50 + 10 \times 0 + 7 + 2[/tex]
To do this, we apply BODMAS.
First, we evaluate all multiplication operations
[tex]50 + 10 \times 0 + 7 + 2 = 50 + 0 + 7 + 2[/tex]
Then evaluate all addition operations
[tex]50 + 10 \times 0 + 7 + 2 = 59[/tex]
Hence, the result of [tex]50 + 10 \times 0 + 7 + 2[/tex] is [tex]59[/tex]
Read more about arithmetic at:
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which graph should Mr.Salinas use to presentation to the city council and why?
Answer:
The Salinas Plan
The Salinas Plan is a Ten-Year Plan designed to provide the City with a path forward on maintaining a long-term balanced budget while preserving City services and addressing the affordable housing crisis. The Salinas Plan may be found here.
The Salinas Plan Story
The Salinas Plan was presented to the City Council by representatives of the National Resource Network on December 4, 2018. The Salinas Plan represented over a year of work analyzing the City's fiscal situation and current housing policies. The Salinas Plan presented the following key findings:
- The City of Salinas is on a fiscally unsustainable path. While the City's revenues are growing at 2.4% per year, expenditures are growing at 2.9% per year.
Step-by-step explanation:
Calculate the distance between the points -8,2 and 3,2 on a coordinate plane
[tex]\\ \rm\Rrightarrow \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{(3+8)^2+(2-2)^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{11^2}[/tex]
[tex]\\ \rm\Rrightarrow 11[/tex]
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