Answer: The average rate of change of f(t) from t = 2 to t = 6 is 1.5 thousand owners per year.
Step-by-step explanation:
Given: The function below shows the number of car owners f(t), in thousands, in a city in different years t:
[tex]f(t) = 0.25^2 - 0.5t + 3.5[/tex]
Now,
[tex]f(2) = 0.25(2)^2 - 0.5(2) + 3.5=3.5\\\\= f(6) = 0.25(6)^2-0.5(6)+ =9.5[/tex]
Now, the average rate of change of f(t) from t = 2 to t = 6 is given by :-
[tex]k=\dfrac{f(6)-f(2)}{6-2}\\\\=\dfrac{9.5-3.5}{4}=1.5[/tex]
Hence, the average rate of change of f(t) from t = 2 to t = 6 is 1.5 thousand owners per year.
Okay, I am stumped on a 4th grade math problem. Help! Taylor's home street address number has five digits. Two digits have values of 60,0000 and 300. The last digit is 9. The value of each of the other digits is ten times the value of the digit on the right. What is Taylor's home street address number?
To find Taylor's home street address number, we can determine the value of each digit based on the given information and then calculate the sum.
Explanation:In this problem, we are given that Taylor's home street address number has five digits.
We also know that two of the digits have values of 60,000 and 300, and the last digit is 9.
The value of each of the other digits is ten times the value of the digit on the right.
Let's break down the information we have:
The first digit is 60,000.The second digit is 300.The third digit is 10 times the value of the second digit, so it's 10 * 300 = 3,000.The fourth digit is 10 times the value of the third digit, so it's 10 * 3,000 = 30,000.The last digit is 9.Putting all the digits together, we get the address number: 60,000 + 300 + 3,000 + 30,000 + 9 = 93,309.
What is the quotient and the remainder for
52 divided by 8
Write this number in expanded form 73,489
Evaluate cos(tan^-1 0)
Answer:
[tex]cos(tan^{-1}(0))=1[/tex]
Step-by-step explanation:
Evaluate cos(tan^-1 0)
[tex]cos(tan^{-1}(0))[/tex]
We know that tan(0)=0
tan (0 degree)=0
[tex]tan^{-1}(0)=0[/tex]
Replace it in our problem
[tex]cos(tan^{-1}(0))[/tex]
[tex]cos(0)[/tex]
At 0 degree the cos value is 1
So co(0)=1
[tex]cos(tan^{-1}(0))=1[/tex]
Answer:
the correct answer is 1
a cube is a three-dimensional solid with a square faces find the total surface area of a cube whose edges are each five feet in length
You are expecting a call from a friend anytime between 3:00 P.M. and 5:00 P.M. At 3:20 P.M, you discover that someone accidentally left the phone off the hook. What is the probability that you missed your friend’s call?
please Help me
13. - 9/25
What is the remainder when (x^4+36) is divided by (x^2-8)
Answer:
The remainder is 100.
Step-by-step explanation:
The divisor is [tex]x^2-8[/tex].
Dividend is [tex]x^4+36[/tex].
We have to find the remainder of
[tex]\frac{x^4+36}{x^2-8}[/tex]
It can be written as
[tex]\frac{x^4+36}{x^2-8}=\frac{x^4-64+64+36}{x^2-8}[/tex]
[tex]\frac{x^4+36}{x^2-8}=\frac{(x^4-64)+100}{x^2-8}[/tex]
[tex]\frac{x^4+36}{x^2-8}=\frac{(x^4-64)}{x^2-8}+\frac{100}{x^2-8}[/tex]
[tex]\frac{x^4+36}{x^2-8}=\frac{(x^2-8)(x^2+8)}{x^2-8}+\frac{100}{x^2-8}[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
[tex]\frac{x^4+36}{x^2-8}=x^2+8+\frac{100}{x^2-8}[/tex]
Therefore the remainder is 100.
What's the 7 number ling
manny brought 2 1/2 cakes to the party, but 3/4 of those went uneaten. How much cake was not eaten?
If the unit selling price is $2.50 and the unit cost is $1.00 what action is needed to maintain the gross margin percentage when unit cost increases $0.25
2.50 / 1.00 = 250% gross margin percentage
1.00 + 0.25 = 1.25
1.25 x 250% = 1.25 x 2.5 = 3.125
the unit selling price needs to be increased by 0.63 cents to $3.13
what is the value of the digit 5 in the number 75
The value of the digit 5 in the number 75 is 5. This is because in the number 75, 5 is in the ones place and thus represents 5.
Explanation:The value of the digit 5 in the number 75 is actually 5 itself. In any two-digit number like 75, the place values are tens and ones. The first digit represents the tens place and the second represents the ones place. Therefore, in 75, the digit 7 represents 70 (as it is in the tens place) and the digit 5 represents 5 (as it is in the ones place). Hence, the value of the digit 5 in the number 75 is 5.
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The sum of 5 consecutive integers is 110. What is the fourth number in the sequence?
110/5 = 22, that is the middle number
now use the 2 numbers below that and the 2 numbers above that
so you have 20 + 21 + 22+ 23+24 = 110
the 4th number is 23
The screen on Lawrence's new phone is 3.15 centimeters long.What mixed number represents the lenght of the phone screen?
(I NEED THIS ASAP PLEASE)Jermaine knows that QRS and FGH each have two sides that are 9 mm long. What statement best describes the two triangles?
1)The two triangles are congruent because there are two pairs of congruent corresponding sides.
2)The two triangles are congruent because both triangles are isosceles with 9 mm sides.
3)The two triangles may be congruent, but additional measurements are needed.
4)The two triangles may be congruent, but additional information is needed about the orientation of the figures.
Answer:
(C)The two triangles may be congruent, but additional measurements are needed.
Step-by-step explanation:
It is given that QRS and FGH each have two sides that are 9 mm long that is QR=QS=9mm and FG=FH=9mm.
Thus, both the triangles that are QRS and FGH becomes the isosceles triangles.
Now, in order to prove that ΔQRS≅ΔFGH, we require more measurements as congruency can be proved only by SAS, SSS, ASA or AAA that is by using all the three sides of triangle or by using two sides one angle or by using two angles and one side or by using all the three angles.
Therefore, we need remaining side or angle in order to prove that ΔQRS is congruent to ΔFGH.
Hence, option (C) is correct.
answer both questions if u cant see all the answers it don't matter all u need is the question
Type the correct answer in each box. Andy got a 32% discount on all his purchases at his favorite shop. If he saved $64 on the total bill, the bill amount without the discount was $ and he paid $ . NextReset
April wants to multiply 6 and 42 using the distributive property. Which of the following number sentences shows how she could do it?
6 × 42 = 42 × 6
6 × (40 + 2) = (6 × 40) + 2
(6 × 42) × 1 = 6 × (42 × 1)
6 × (40 + 2) = (6 × 40) + (6 × 2)
Final answer:
To multiply 6 and 42 using the distributive property, you break down 42 into 40 and 2, then multiply each part by 6 and add them together to get 252.
Explanation:
The distributive property in mathematics allows us to multiply a sum by multiplying each addend separately and then adding the products. April wants to multiply 6 by 42 using the distributive property. The correct way to do this using the distributive property is to break down 42 into 40 and 2, then multiply each by 6 and add the results. Therefore, the correct number sentence using the distributive property is:
6 × (40 + 2) = (6 × 40) + (6 × 2)
This simplifies to:
(6 × 40) + (6 × 2) = 240 + 12 = 252
So, 6 × 42 equals 252 when applied through distributive property.
Eddie has saved up $45 to purchase a new camera from the local store. The sales tax in his county is 7% of the sticker price. Write an equation and solve it to determine the value of the highest priced camera Eddie can purchase with his $45, including the sales tax. Round your answer to the nearest penny.
x − 0.07x = 45; $48.39
0.7x = 45; x = $64.29
7x = 45; x = $6.43
x + 0.07x = 45; x = $42.06
tax gets added to the price of the camera
so the equation is:
x + 0.07x = 45; x = $42.06
Sam goes running Monday, Wednesday, and Friday of each week. Each Monday he runs 3.75 miles, each Wednesday he runs 5.75 miles, and each Friday he runs 6.25 miles. How many total miles does he run in 7 weeks?
7x+4=3x+2x+28=? show equation for answer
Gillian earns $7.50 an hour babysitting on the weekends.Last week she babysat for 2.2 hours on Saturday and 3.5 hours on Sunday.How much did Gillian earn
Total hours= 2.2+3.5=5.7
Total earned = 5.7 x $7.50= $42.75
Tina Avallone and her husband are buying a $219,000 home. Their annual housing expenses are: mortgage payments, $15,400; real estate taxes, $3,600; annual homeowner’s insurance premium, $1,895; maintenance on the home, $3,200; and utilities, $3,980. The lost interest on the down payment is $1,001 and the tax savings is $1,976. What is their average monthly expense?
Answer:
the answer is actually is $2,258.33
Step-by-step explanation:
plz help asapppppp plzz
Given the function g(x)=7-x^2, evaluate g(x+h)-g(x)/h , h=0
The result is g'(x) = -2x.
Given g(x) =[tex]7 - x^2.[/tex]
Evaluate g(x+h)
=[tex]7 - (x+h)^2[/tex]
= [tex]7 - x^2 - 2xh - h^2.[/tex]
Compute g(x+h) - g(x)
=[tex][7 - x^2 - 2xh - h^2] - [7 - x^2][/tex]
= [tex]-2xh - h^2.[/tex]
Divide by h:
(g(x+h) - g(x)) / h
= [tex](-2xh - h^2) / h[/tex]
= -2x - h.
Take the Limit as h Approaches 0: As h approaches 0, the expression -2x - h approaches -2x.
Therefore, g'(x) = -2x.
So, the derivative of g(x) when h = 0 is -2x.
Maria is buying new carpet for her bedroom and her bedroom is the shape square in each side is 12 feet what is exponetial expression to find out how much carpet she needs
To find out how much carpet Maria needs for her square-shaped bedroom with each side measuring 12 feet, we can calculate the area of the room by using the exponential expression 12².
Explanation:To find out how much carpet Maria needs for her square-shaped bedroom, we need to calculate the area of the room. Since each side of the square is 12 feet, we can use an exponential expression to find the area. The exponential expression is 12², which simplifies to 144 square feet.
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Find the rate of change of the function f(x)=-4/5x+8
The rate of change of the function f(x)=(-4/5)x+8 is -4/5, as this is the slope of the linear function which is constant.
To find the rate of change of the function f(x)=-4/5x+8, we can identify the coefficient of the x term, which in this case is -4/5. This coefficient represents the slope of the line, which is the rate of change of the function.
Hence, the rate of change of the function f(x) is -4/5. No additional calculations are needed because the function is linear, and its rate of change is constant.
In terms of calculus, for linear functions, the rate of change is equal to the derivative, which for f(x)=-4/5x+8 is -4/5.
Tim mixed 2 parts vinegar and 5 parts water to make a cleaning liquid. How many parts of vinegar did Tim mix with each part of water?
Answer question to get brain
Kirk bought songs for his MP3 player. He needed 6 more songs to have a total of 100. Write an integer to represent how many more songs Kirk needs. I NEED HELP!!!!!!!
Kirk needs 6 more songs to reach a total of 100, so the integer representing the number of songs he needs is +6.
Kirk needs 6 more songs to have a total of 100 songs for his MP3 player.
The integer to represent how many more songs Kirk needs is +6.
This is because an integer is a whole number (not a fraction or decimal) and can be positive, negative, or zero. In this case, since Kirk is adding songs to reach a total, we use a positive integer.
The +6 indicates that 6 more units (songs, in this context) are needed to reach the goal of 100.