What is the area of the trapezoid below?
The function f(x) = x2+ 4 is defined over the interval [-2, 2]. If the interval is divided into n equal parts, what is the height of the right endpoint of the k^th rectangle?
Answer:
Following are the responses to the give question:
Step-by-step explanation:
The [tex]f(x) = x^2 + 4[/tex] model is developed in the interval [tex](-2, 2)[/tex] total equal in a between such a range[tex]= 5[/tex].
Its right endpoint of every rectangle is separated onto n equal parts by the height [tex]= \frac{5}{n}.[/tex]
Height of endpoint [tex]= \frac{5}{n}[/tex] of the k rectangles therefore, the height of the kth rectangle = First rectangle height + K rectangle height
[tex]= -2 +k \times \frac{5}{n}\\\\[/tex]
A picture of Carol's soccer field and its dimensions is shown. Carol ran the boundary of the field three times.
. 120 m-
85 m
How far did Carol run in total?
HELP PLEASE 15 POINTS
For the data set 6, 5, 10, 11, 13, the mean, x, is 9. What is the standard deviation?
Answer:
your answer will be 3.4
Step-by-step explanation:
n=number of terms
{6,5,10,11,13}=5
also ∑(x-x)^2=46
[tex]S=\sqrt{\frac{1}{5-1} *46} =[/tex]
[tex]\sqrt{\frac{46}{4} }=\sqrt{11.5} \\\\S=3.4[/tex]
hope it helps
have a great day!!
What the prime number 5 7 10 11 13
Answer:
5 is a prime number
Step-by-step explanation:
What is an equivalent expression for 1.5(3x + 4) + 0.25(6x + 8)?
x +
Answer:
6x+8
Step-by-step explanation:
Answer:
6x+8
Step-by-step explanation:
i just got i right
Multiply both polynomials together
Answer:
6x + 11x - 10
Step-by-step explanation:
So in order to solve this expression, we have to distribute the numbers in each set of parenthasis
Step 1 : break down each mini-espression you're solving
(2x+5)(3x-2)
each term is multiplied by both terms in the other set of parenthasis.
(2x · 3x) + (2x · -2) + (5 · 3x) + (5 · -2)
Step 2 : Solve each idividual piece
(2x · 3x) = 6x²
(2x · -2) = -4x
(5 · 3x) = 15x
(5 · -2) = -10
Step 3 : Put it all together amd simplify
6x² - 4x + 15x - 10
6x² + 11x - 10
Evaluate 32. (4 + 2) - 1 + (2.3)
A
15
В
23
C
54
D
57
Answer:
7.3
Step-by-step explanation:
Order of operations rules require that any work inside parentheses be done first. Thus,
(4 + 2) - 1 + (2.3) becomes 6 - 1 + 2.3
This, in turn, becomes 5 + 2.3, and the final result is 7.3.
Answer please!! Thank you so much
Answer:
the first one is 4.03 and the second one os 4.33
Answer:
4.03 and 4.33 is the answer.
Step-by-step explanation:
The numbers increase by +0.1
∴ 4.03, 4.13, 4.23, 4.33, 4.43, 4.53
What fraction is equal to 40% ?
Your Answer is:
4/10
Step-by-step explanation:
because 4 out of 10=40%...
Please help!!! I am being timed!!
Brainiest if corrected!!!
Answer:
D
Step-by-step explanation:
The starting number is 3
And they bring in 1 member each month
That can be shown with the last equation
Good luck!
Help Math help help help ASAP
Answer:
Step-by-step explanation:
a) 2,35 x 10^9
b) 2,5 x 10^7
c) 9 x 10^4
write five rational numbers less than -3
-4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20
The rabbit population in Scott County, which is currently at 2,900 rabbits, is increasing by
10% each year. How many rabbits will there be in 8 years?
If necessary, round your answer to the nearest whole number.
Answer:
6216
Step-by-step explanation:
This problem deals with exponential growth.
Final value: F
Present (initial) value: P
Rate of growth: r
Time in years = t
[tex] F = P(1 + r)^t [/tex]
[tex] F = 2900(1 + 0.1)^8 [/tex]
[tex] F = 6216 [/tex]
Answer: 6216
Between which two integers does √11 lie? and √8 lie? Step by step explanation please
Answer:
2 and 4
Step-by-step explanation:
Consider a perfect square smaller than 8 and a perfect square larger than 11
That is 4 and 16, then
[tex]\sqrt{4}[/tex] < [tex]\sqrt{8}[/tex] and [tex]\sqrt{11}[/tex] < [tex]\sqrt{16}[/tex] , that is
2 and 4
Answer: 3 and 4
Step-by-step explanation:
Plz help! Actually Answer plz!
During halftime of a football game, a slingshot launches T-shirts at the crowd. A T-shirt is launched from a height of 4 feet with an initial upward velocity of 80 feet per second. The T-shirt is caught 41 feet above the field. How long will it take the T-shirt to reach its maximum height? What is the maximum height? What is the range of the function that models the height of the T-shirt over time?
9514 1404 393
Answer:
time to max height: 2.5 seconds
max height: 104 ft
range of function: [4, 104]
Step-by-step explanation:
The equation for ballistic motion is ...
h(t) = -16t^2 +v0·t +h0 . . . . where v0 is the initial upward speed and h0 is the initial height
For the given parameters, the height function is ...
h(t) = -16t^2 +80t +4
The time for maximum height is ...
-b/(2a) = -80/(2(-16)) = 2.5 . . . seconds
The maximum height is ...
h(2.5) = (-16·2.5 +80)(2.5) +4 = 104 . . . feet
The range of the function is from the minimum height (at launch) to the maximum height:
4 ft ≤ h(t) ≤ 104 ft.
The radius of a circle is 17.8 ft. Find the circumference to the nearest tenth.
GEOMETRY HELP NEEDED!! find the value of x
Should be 8 since it's symmetrical
Find the volume of the triangular prism shown.
Answer:
70
Step-by-step explanation:
2x(3x5)=15 15x0.5=7.5 7.5+7.5=15
2x(5x11)=55
55+15=70
what is 2 3/4 as an improper factor..? just asking
Answer:
11/4
Hope this helps
Answer:
11/4
Step-by-step explanation:
An improper factor is a fraction that has a higher numerator (number in top) than the denominator (number in the bottom). Some examples of improper factors are 9/8 or 5/3 bc the top number is higher than the bottom one.
You can get the answer by multiplying 2 × 4 bc we want to know how many fourths (1/4) are in 2. In this case there are 8
then we add 8/4 with 3/4 to get 11/4
A plane is traveling at a constant rate described by d = 525t where d is the distance and t is the time. How long will it take the plane to travel 3150 miles?
Answer:
6 hours
Step-by-step explanation:
Given: A plane is traveling at a constant rate described by d = 525t
where d is the distance and t is the time
We know that ratio of distance upon time = d/t = 525 miles per hour
Therefore, time taken to travel 3150 miles = 3150/525 = 6 hours
Kate conducts a survey at her middle school to determine the students' favorite sport. Which sampling method would best produce a representative sample of the population?
Incomplete question. The missing options read;
a. Kate surveys every 8th student from a roster of the choir members.
b. Kate surveys the football team.
c. Kate surveys seventh-grade students.
d. Kate surveys every 4th student entering the school.
Answer:
d. Kate surveys every 4th student entering the school.
Step-by-step explanation:
Interestingly, after careful examination of all the listed sampling methods, none except option d would best produce a representative sample of the population.
This is because;
in the first, second, and third option, none of them evenly represents the entire school population; meaning it fails to produce a representative sample of the population.
However, if Kate surveys every 4th student entering the school, then chances of getting a representative sample of the entire school population are very likely; as different grade level students would likely be entering into the school when the survey activity is taking place.
If the diameter of a circle is 16 cm, find it’s radius
Answer:
radius is 8cm
Step-by-step explanation: radius is half of diameter so 16/2= 8
Question
If the diameter of a circle is 16 cm, find it’s radius
soln'
diameter of circle=16cm
radius=?
now
radius formula=2 pie r where pie = 22/7
2*22/7*16
=96
A 5ft tall girl is standing 13ft from a 15ft tall lamppost. How long is her shadow?
Find the surface area of the square pyramid (above) using its net (below)
Answer:
please where is the above square pyramid
Step-by-step explanation:
please I wish I could help you but your question is in complete
Juan's earnings vary directly with the number of hours he works. Suppose that he worked 10 hours yesterday and earned $160. How much will he earn today if he works 13 hours?
Cheese sticks that were previously priced at "10 for $1" are now "4 for $1". Find each percent change
Answer:
The price per cheese stick was increased by 150%.
The amount of cheese sticks per $1.00 has decreased by 60%.
Step-by-step explanation:
The price per cheese stick was $0.10
1.00 (dollar) divided into 10 (cheese sticks) gives you 0.1, which means each cheese stick costs $0.10The current price per cheese stick is $0.25
1.00 (dollar) divided into 4 (cheese sticks) gives you 0.25, which means each cheese stick costs $0.25That means the price per cheese stick was raised by 150%.
That also means the amount of cheese sticks you could buy for $1.00 has decreased by 60%.
Find the slope and Y-intercept, then graph
X - 3y = 9
Answer:
y≈ 1/3x -3
y intercept (0,-3)
Step-by-step explanation:
Factor x^3 +5x^2- 24x
Step-by-step explanation:
(−3)(+8)