Answer:
Step-by-step explanation:
Use the power rule for differentiation
[tex]f'(x)=nx^n^-^1[/tex]
[tex]f'(x)=(4\frac{d}{dx} 2x^2^-^1)-(8\frac{d}{dx} 1x^1^-^1)+\frac{d}{dx}2[/tex]
[tex]f'(x) =8x-8[/tex]
The derivative of a constant is always zero
A caterpillar crawling in a straight line across a coordinate plane starts at point (-3,
-4) and ends at point (25, 38). Counting the start point and end point, how many
points with integer coordinates does the caterpillar touch?
9514 1404 393
Answer:
15
Step-by-step explanation:
In vector form, the equation of point p on the line can be written as ...
p = (-3, -4) +t(25 -(-3), 38 -(-4)) . . . . . for some scalar t
p = (-3, -4) +t(28, 42)
p = (-3, -4) +14t(2, 3)
where t takes on any value between 0 and 1.
If we let t = n/14 for some integer 0 ≤ n ≤ 14, then the coordinates of point p will be integers.
There are 15 values that n can have in the allowed range.
The caterpillar touches 15 points with integer coordinates.
PLZ HELP!!
What is the ratio of a:b, knowing that a-b/a+b=3/5
Answer:
1 : 4
Step-by-step explanation:
5(a - b) = 3(a + b) = 5a - 5b = 3a + 3b
2a - 5b = 3b
2a = 8b
2/8 is 1/4 simplified
For what value of q is the equation -13(9 + 4) = 79 + 16 true?
Answer:
False, because the left side (-169), is not equal to the right side (95).
Odette solved this problem:
A piggy bank has nickles and dimes totaling $1.15. If the bank contains exactly 15
coins, how many of each coin are in the bank?
Complete the statement about Odette's solution.
Answer:
In Odette's solution, 7 is the number of
nickels and 8 is the number of dimes
A Solve the
1. The total number of books which were borrowed from a library from Monday to Sunday can be
modelled by the function F(x) = 200x + 542x² + 179x + 1605 and the number of visitors to the
library from Monday to Sunday can be modelled by G(x) = 100x + 321, where x is the number of
days since Monday Which of the following expressions correctly describes the average number of
books per visitor?
Answer:
?
Step-by-step explanation:
Determine the order pair and quadrant for each point:
A.
B.
C.
Answer:
A: (-4,1) QUAD 2
B: (-1, -3) QUAD 3
C: (2,5) QUAD 1
D: (5, -4) QUAD 4
Step-by-step explanation:
Two joggers set out at the same time from their homes 24 miles apart. They agree to meet at a point
somewhere in between in an hour and a half. If the rate of one is 6 mph faster than the rate of other,
find the rate of each.
9514 1404 393
Answer:
5 mph, 11 mph
Step-by-step explanation:
Together, they cover 24 miles in 1.5 hours, so their total rate of speed is ...
(24 mi)/(1.5 h) = 16 mi/h
If s is the rate of the slower jogger, then s+6 is the rate of the faster one. Their total speed is ...
s + (s+6) = 16
2s = 10 . . . . . . . subtract 6
s = 5 . . . . . . . . . divide by 2
s+6 = 11
The rates of the joggers are 5 mph and 11 mph.
Answer:
Try reading it over
Step-by-step explanation:
The sum of three numbers is 52. The difference of the largest and the smallest is 48, and the sum of the two smaller numbers is 11, Find the numbers.
Answer:
41, -7, 18
Step-by-step explanation:
Let a = smallest number
b = second number
c = largest number
Then a + b +c = 52 c - a = 48 a + b = 11
11 + c = 52
c = 41 41 - a = 48
-a = 6
a = -7 -7 + b = 11
b = 18
Answer:
a=-7
b=18
c=41
Step-by-step explanation:
a+b+c=52
c-a=48
a+b=11
11+48=59
a+59=52
a=-7
The sum of two numbers is 24. One number is four less than the other. Find the numbers.
Answer:
The correct answer is 10 and 14
PLEASE HELP!!!!!
A beach toy in the shape of a pyramid has a rectangular base with dimensions of 4 inches by 12 inches. The height of the rectangular pyramid is 10 inches. Sand fills half the volume of the beach toy. How many more cubic inches of sand is needed to finish filling the beach toy? Enter your answer in the box. ____in3
Answer:
80in3
Step-by-step explanation:
12 x 4 = 48
48 / 2 = 24
24 x 10 =240
240 / 3 = 80
So your answer is 80in3
Answer: 80in
Step-by-step explanation:
1.1 x 1.2 with work shown
Answer:
1.32 that should be correct
Answer:
1.32
Step-by-step explanation:
you would write it out like this on paper
1.1
1.2
_______
22
+ 110
_______
132. ---> 1.32 because you move it two decimal points to the left because of the decimal points in 1.1 & 1.2.
BRAINLIEST AND ALSO 40 POINTS!!!!
Answer:
WOAH Sapnap!
Step-by-step explanation:
Which statement is true regarding the intervals where the function is increasing and decreasing? The function is increasing from (–∞, 0). The function is increasing from (0, ∞). The function is decreasing from (–∞, 0). The function is decreasing from (–∞, ∞).
Step-by-step explanation:
mark me as a brainlist hope its helpful yo you
The function is increasing from (–∞, 0). Then the correct option is A.
What is increasing and decreasing of function?If the value of y increases as the value of x increases, then increasing function.
And if the value of y decreases as the value of x increases, then decreasing function.
From the graph, the function is increasing from (–∞, 0).
Then the correct option is A.
The complete question is attached below.
More about the increasing and decreasing of function link is given below.
https://brainly.com/question/14330051
#SPJ2
Find the measure of Angel 1 and 2.
find the volume of this figure
Answer:
1920 cm³
Step-by-step explanation:
For the left figure:
10 • 8 • 14 =
80 • 14 = 1120
For the right figure:
10 • 10 • 8 =
100 • 8 = 800
Add together : 1120 + 800 = 1920 cm³
A lottery game has balls numbered 0 through 9. What is the probability of selecting an even
numbered ball or a 5?
Select one:
2
a.
5
3
b.
5
c. 5
d. 2
Answer:
I believe there is a 5/10 chance
Step-by-step explanation:
Answer:
5/9 chance
Step-by-step explanation:
There are 4 even numbered balls from 0-9. Meaning there is a 4 out of 9 chance to get a even ball, but there is also a five. So the answer is 5 out of 9.
Please give brainliest :)
14 less then 3 times a number is 31 written out and solved
Answer:
3x-14=31 ,= 15
Step-by-step explanation:
3x= 45
x= 45/3
x= 15
hope it helps
[2.(9 – 8)]3 – 4 + 3
What is the answer
Answer:
5
Step-by-step explanation:
calculate (2(9-8))X3-4+3 then calculate the product (2X1)x3-4+3 then you multiply 2x3-4+3 after that you calculate 6-4+3 and you get 5
Answer:
5
Step-by-step explanation:
[2 x ( 9 – 8 )] x 3 – 4 + 3
[2 x ( 1 )] x 3 – 4 + 3
2 x 3 - 1
6 - 1 = 5
A garden table and a bench cost $903 combined. The garden table costs $53 more than the bench. What is the cost of the bench?
George had 50.00 he bought a pair of pants for 39.59 and a tire for 8.75 what is the total amount of money that he has left
. What is the value of x in the diagram below?
(1 point)
36
20
Х
Ox= 12v5
Ox=12/14
Ox=4170
O not enough information
Answer:
C. x = 4√70
Step-by-step explanation:
To find x, we would apply the leg rule.
Leg rule is:
Hypotenuse/leg = leg/part
Hypotenuse = 36 + 20 = 56
Leg = x
Part = 20
Plug in the values into the equation
Thus, we would have:
56/x = x/20
Cross multiply
x*x = 56*20
x² = 1,120
x = √1,120
x = √(16*70)
x = 4√70
The correct answer is c.
Maliki is building a ramp with a base of 4 feet and a vertical height of 2 feet. What is the length of the ramp?
Answer:
2√5
Step-by-step explanation:
By applying Pythagoras (hypotenuse)^2=(Base)^2 +(Height)^2
The length of the ramp is approximately 4.47 feet.
What is the Pythagorean theorem?Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
If the base of the ramp is 4 feet and the vertical height is 2 feet, we can use the Pythagorean theorem to find the length of the ramp:
ramp length² = base² + height²
ramp length² = 4² + 2²
ramp length² = 16 + 4
ramp length² = 20
Taking the square root of both sides, we get:
ramp length = √20
Simplifying the square root of 20, we get:
ramp length ≈ 4.47 feet
Therefore, the length of the ramp is approximately 4.47 feet.
Learn more about Pythagoras's theorem here:
brainly.com/question/343682
#SPJ3
27 is smaller than 5 times a number increased by 7
Answer:
4
Step-by-step explanation:
this means that 5x+7=27
subtract 7 from both sides
5x=20
x=4
Conduct a Pareto analysis for the number of minutes that flights are late in the accompanying data. Interpret the results. LOADING... Click the icon to view the Atlanta Airline Data. Conduct a Pareto analysis for the number of minutes that flights are late. 15127137130.3074601124.053619303 192644911620.5010780515.163538874 192426514270.6153514455.158176944
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the attached file for the solution:
20% of flights accounted for nearly 70 to 80% of delayed minutes.
Which expression shows -5 3/5+9 1/5 as the sum of integer and fractional parts?
Answer:
-5 + 9 + (-3/5) + 1/5
Step-by-step explanation:
A taxi driver had 31 fares to and from the airport last Monday. The price for a ride to the airport is $4.50, and the price for a ride from the airport is $11. The driver collected a total of $289 for the day.
Answer:
(8,23)
Step-by-step explanation:
x+y=31
4.5x + 11y = 289
x = 31 -y
4.5(31 - y) + 11y = 289
139.5 - 4.5y + 11y = 289
6.5y = 149.5
y = 23
x = 31 - 23 = 8
The ordered pair, (x, y) = (8, 23).
What is an ordered pair?
An ordered pair exists as a composition of the x coordinate (abscissa) and the y coordinate (ordinate), containing two values noted in a fixed order within parentheses.
Given: A taxi driver had 31 fares to and from the airport last Monday. The price for a ride to the airport exists $4.50, and the price for a ride from the airport exists $11. The driver collected a total of $289 for the day.
x + y = 31........(1)
4.5x + 11y = 289 ........(2)
From (1), we get
x + y = 31
x = 31 - y
Substitute the value of x in (2), and we get
4.5x + 11y = 289
4.5(31 - y) + 11y = 289
Simplifying the above equation, we get
139.5 - 4.5y + 11y = 289
6.5y = 149.5
y = 23
substitute the value of y, in (1) then we get
x = 31 - y
x = 31 - 23 = 8
The value of x = 8 and y = 23.
Therefore, the ordered pair, (x, y) = (8, 23).
Complete question
A taxi driver had 31 fares to and from the airport last Monday. The price for a ride to the airport is $4.50, and the price for a ride from the airport is $11. The driver collected a total of $289 for the day. Let 2 represent the number of trips to the airport and y represent the number of trips from the airport. Write the ordered pair, (x, y) that represents the situation.
I really need help I will give brainliest
Answer:
64 degrees
Step-by-step explanation:
All angles in a triangle plus each other equals 180. First find the missing angle of the triangle with 2 given angles. The missing angle is 64 degrees because 68 plus 48 is 116 and 180 - 116 is 64. Vertical angles are always congruent and the missing angle is vertical to the missing angle on the first triangle.
Andre also has a puppy that weighs 9 pounds. The vet says that this puppy is now at about 30% of its adult weight. What will be the adult weight of Andre’s puppy?
Answer:
30 lbs.
Step-by-step explanation:
There is a much easier way to do this involving percentages, but I hate percentages so here is my way.
The adult weight will be 100% and the puppy is currently around 30%. If you multiply 30% by 3, you get 90% which is almost 100%.
So I multiplied 9 by 3 to get 27 lbs.
Now I need to get the remaining 10%. 9 lbs is 30%, soto get to 10%, I divide 30% by 3. I divided the 9 lbs by 3 to get 3 lbs.
Add the two numbers together: 27+3=30 lbs
What is the term-to-term rule for this sequence?
64, 32, 16, 8,4
Answer:
Divide previous term by 2
Step-by-step explanation:
Have a nice day :)
Answer:
every number is getting half one by one
Step-by-step explanation:
means getting divided by 2
have a cheerful day
25 Pionts for it :)
Molly likes to quilt. Her new quilt will have 20 squares in one row, and the side lengths of each square will be 3 inches longer than the side lengths, s, of the squares on her previous quilt.
Complete the expression below that represents the length, in inches, of one row of Molly's quilt.
Answer:
20 (3+s)
and the answer to the expression is
20 (3+s)
=60+20s
80