A trapezoidal sum is an underestimate when the function is.

Answers

Answer 1

Answer: Concave down

Explanation:

An example is shown below. We have the concave down parabola [tex]y = -x^2+7[/tex] marked in red. The trapezoidal sum is in blue. The three trapezoids combine to something just a bit smaller than the true area under the curve from x = -2 to x = 1. Therefore, this trapezoidal sum is an underestimate of the true area under the curve.

Every part of each trapezoid is completely below the red curve. In other words, no part of the blue pieces spill above the parabola.

A Trapezoidal Sum Is An Underestimate When The Function Is.

Related Questions

What is the answer ?

Answers

Answer:

The answer for Q35 is : 176 cubic feet

Step-by-step explanation:

V = 16×3×2+16×5

= 96 + 80

= 176 cubic feet

A sequence is defined by an = -5+ (n - 1) 14, where n is a positive integer. What is the value of 410?

Answers

The sequence an = -5 + (n - 1)14 is an arithmetic sequence

The value of a10 is 121

How to determine the the a10-th term?

The sequence is given as:

an = -5 + (n - 1)14

To calculate the value of a10, we set n = 10

So, we have:

a10 = -5 + (10 - 1) * 14

Evaluate the difference

a10 = -5 + 9 * 14

Evaluate the product

a10 = -5 + 126

Evaluate the sum

a10 = 121

Hence, the value of a10 is 121

Answers

Answer:

its the 3rd one i think but don't trust me cuz ion know

The correct regarding the angles of the triangles are,

⇒ m ∠Y < m ∠Z < m ∠X

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Since, Given that;

m ≥ 6, we will substitute 6 in for m.

This makes;

XZ = m-3 = 6-3 = 3.

XY = m+8 = 6+8 = 14.

YZ = 2(6)+3 = 12+3 = 15.

Hence, This makes the sides, in order from least to greatest as;

XZ < XY < YZ.

Thus, The angles associated with these are opposite their corresponding sides; XZ corresponds with Y; XY corresponds with Z; and YZ corresponds with X.

This means correct regarding the angles of the triangles are,

⇒ m ∠Y < m ∠Z < m ∠X

Thus, The correct regarding the angles of the triangles are,

⇒ m ∠Y < m ∠Z < m ∠X

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ7

What is the probability that a five-card poker hand contains exactly one ace?.

Answers

The probability of selecting exactly one ace is its likelihood

The probability that a five-card poker hand contains exactly one ace is 29.95%

How to determine the probability?

There are 4 aces in a standard deck of 52 cards.

The probability of selecting an ace would be:

p = 4/52

Also, there are 48 non-ace cards in the standard deck

So, the probability of selecting a non-ace after an ace has been selected is:

p = 48/51

The probability of selecting a non-ace up to the fifth selection are:

After two cards have been selected is: 47/50.After three cards have been selected is: 46/49.After four cards have been selected is: 45/48.

The required probability is then calculated as:

P(1 Ace) = n * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)

Where n is the number of cards i.e. 5

So, we have:

P(1 Ace) = 5 * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)

Evaluate

P(1 Ace) = 0.2995

Express as percentage

P(1 Ace) = 29.95%

Hence, the probability that a five-card poker hand contains exactly one ace is 29.95%

Answers

Answer:

It's 3/18 becasue in total there are 18 choices but only 3 add up to 8

find the product 867 and 49

Answers

Answer:

42483

Step-by-step explanation:

867*49 = 42483

42,483 because 867 * 49 in a calculator is always 42,483

how mny sets of three consecutive integers are there whose sum is between 51 and 60

Answers

Answer:

4 sets

Step-by-step explanation:

16 + 17 + 18 = 51

17 + 18 + 19 = 54

18 + 19 + 20 = 57

19 + 20 + 21 = 60

The previous monthly balance on Barneys Laurents charge card is $144.79. He made a payment of $144.79 and had charges of $125.22, $23.22, and $33.65. There is no finance charge.

PLEASE HELP!!!
WILL MARK BRAINLIEST

Answers

Answer:

$182.09

Step-by-step explanation:

Add

$125.22 + $23.22 + $33.65

= $182.09

please solve the given problem

Find the value of x and y
If

5x-2y=0
5x+10y=100

Answers

Answer:

The answer is given in the picture

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

x = 10/3 , y = 25/3

Step-by-step explanation:

Let's solve your system by substitution.

5x−2y=0 ; 5x+10y=100

Step 1: Solve 5x−2y=0 for x:

5x−2y=0

5x−2y+2y=0+2y (Add 2y to both sides)

5x=2y

5x/5=2y/5 (Divide both sides by 5)

x=2y/5 (Simplify)

Step 2: Substitute 2y/5 for x in 5x+10y=100:

5x+10y=100

5 2/5y +10y=100

12y=100 (Simplify both sides of the equation)

12y/12=100/12 (Divide both sides by 12)

y=25/3

Step 3: Substitute 25/3 for y in x=2/5y

x=2/5y

x=2/5 * 25/3

x=10/3 (Simplify both sides of the equation)

At the end we have the following answers :

x = 10/3

y = 25/3

what is 339.12 rounded to the nearest hundreth

Answers

Answer:

339.12 rounded to the nearest hundreth is 339

Because the hundreth place right now is 1 so anything below five keep the same

Please consider brainliest <3

Step-by-step explanation:

Answer: 339.10

Step-by-step explanation: The value of 2 is the hundredth and it is rounded up to 0

Carla served her mango pie on a 14 inches diameter dish. She wanted to tie a ribbon around the dish to make it a little more attractive. How long does the ribbon need to be in order to fit around the dish?

Answers

By finding the circumference of the plate, we conclude that the ribbon must be 43.96 in long.

How long does the ribbon need to be?

Remember that for a circle of radius R, the circumference is:

C = 2*pi*R

In this case, the ribbon must be equally long to the circumference of the plate. We know that the diameter of the plate is 14 inches, and the radius is half of that, then we get:

R = 14in/2 = 7in

Replacing that on the circumference equation we get:

C = 2*3.14*7in = 43.96 in

The ribbon must be 43.96 in long.

If you want to learn more about circles, you can read:

https://brainly.com/question/1559324

What is the area of the trapezoid at the right

Answers

Answer:

144

Step-by-step explanation:

8•6 because two triangles make a square and they are the same size, so there is no need to divide by half

then 8•12 for the square in the middle

Graph the system of equations below on a piece of paper. What is the solution? TW y=x-1 y=-2x+5

Answers

Given↷

A system of equations

y= x-1y= -2x+5To find↷The solution to the system of equationsAnswer↷(2,1)Solution↷

y = x -1 _ _ _ _ _ _(1)

y=-2x+5_ _ _ _ _ _(2)

subtracting equation 2 from equation 1,

we get,

x -1 = y

-(-2x +5 = y)

__________

3x -6 = 0

3x = 6

x = 6/3

x = 2

___________

Plugging the value of x in equation 1,

y= 2-1

y= 1

hence, the solution of this system of equation is (2,1)

y=x-1y=-2x+5

We will solve this through graphical way

Graph both equations

Solution is

(2,1)

Graph attached

which transformation of y = f(x) moves the graph 9 units to the left and 5 units down

Answers

Answer:

y=f(x+9)-5

Step-by-step explanation:

to move the graph 9 units to the left, you would need to add 9 to the variable (which is x) - so that transformation for y=f(x) would look like this:

y=f(x+9)

then, to move the graph 5 units down, you would need to subtract 5 from f(x), so the transformation for y=f(x) that moves the graph 5 units down would be:

y=f(x)-5

now, you would put that all together and it would look like this:

y = f (x+9) -5

i hope this helps.

The area of the base of a cone is 36π square centimeters. The height of the cone is 20 centimeters. What is the closest to the volume of the cone?
A.740 cm ³
B.750 cm ³
C.800 cm ³
D.775 cm ³

Answers

Answer:

the answer is d because i have dont it b4

Step-by-step explanation:

Which of the following are factors of 6x^2+30x-36? Select all that apply.
Answer choices:
1. X-1
2. X+2
3. 2
4. 3
5. X+6
6. X-6
7. X-2

Answers

Answer:

Step-by-step explanation:

Write the correct ratio (fraction) for each triangle.

Answers

Answer:

21/20

20/29

21/20

20/29

21/29

20/21

Step-by-step explanation:

Use Soh Cah Toa for each, using the right equation for the right angle

e.g for sin(z) we use the opposite/adjacent for that angle

the hypotenuse is the biggest sizethe opposite is the side opposite to the angle you are usingthe adjacent is the other side

help quick!
Jennifer is collecting cans of food for a food drive at her school. On
week one, she collected 4 cans. On week two she had 5 cans. By
week five, she had 8 cans. How many cans will she have collected by
week twelve?

Answers

Answer:

make me brainliest pls hope it helps :)

Step-by-step explanation:

week 1 = 1+3=4

week 2= 2+3=5

week 5=8+3=11

11 cans

OMG NEED HELP ASAP!!!

Answers

Answer:

Graph A

Step-by-step explanation:

the equations is y = 3x/4 - 3

the slope is 3/4

the y intercept is -3

and the x intercept is:

3x/4 - 3 = 0

3x/4 = 3

x = 4

Graph A matches the equation.

Find the gradients of lines a and b

Answers

Answer:

Line A = y = 8x – 6

Line B = y = -4x + 8

Step-by-step explanation:

what is the simplest way to explain how to do this?

Answers

Answer:

Step-by-step explanation:

area of a triangle = h x b/2 which means ill do

8 x 8 = 64

then 64/2

8x8 (again) = 64

64+32 = 96

Answer:

96 in^2. Find the area of the square, then the area of the triangle. After that, add them together.

Step-by-step explanation:

First, let's find the area of the square:
A = lw
A = 8 x 8
A = 64

Now, let's find the area of the triangle.
A = 1/2lh
A = 1/2(8)(8)
A = 1/2(64)
A = 32

Now, all we have to do is add 64 and 32 to get the total area

64 + 32 = 96

Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y=4/3x

Answers

Answer:

Step-by-step explanation:

The a line that is perpendicular to the reference line will have a slope that is the negative inverse of the slope of the reference line. We'll look for a line that has the form y=mx+b, where m is the slope and b is the y-intercept. The reference line y=(4/3)x has a slope of (4/3) and a y-intercept of 0 (it crosses the y axis at x = 0).

The negative inverse the the slope (4/3) would be -(3/4).

The new line will be y = -(3/4)x + b.

To find point, use the given point and solve for b:

y = -(3/4)x + b

y = -(3/4)x + b for point (4,2)

2= -(3/4)(4) + b

2= -3 + b

b = 5

The equation of the perpendicualr line is y = -(3/4)x + 5

See attached graph.

5. F-LE.1.2
Two terms from a sequence are two terms from a sequence are shown in
the table below. Which formula does not
generate these terms?

A, an = 2n
B. an = 2(n-1) + 2
C. An=2"
D. an = 2n-1 + 2

Answers

Answer:

A, an = 2n. B. an = 2(n-

Step-by-step explanation:

can you brainlist me

Find the reference angle.
-230°

Answers

Answer:

pretty sure it would be like 90 or something, don't know if it's -90 or just 90 tho

Step-by-step explanation:

Answer:

50 degrees

Step-by-step explanation:

-230 is the same as 130 in quadrant II

reference angle 180 - 130 = 50 degrees

Use the rule y = -2x + 5 to answer the questions below.
a. What is the slope of the line?

Answers

Answer:

-2

Step-by-step explanation:

Slope-intercept form: y = mx + b, in which:

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

Note the numbers that replace the given variables:

y = mx + b ; y = -2x + 5

y = y

m = slope = -2

x = x

b = y-intercept = 5

-2 is your answer for slope.

Answer:

The slope is -2.

Step-by-step explanation:

I hope this helps! :)
The formula is y=mx+b, where m (in the place of -2) is the slope.

2x² - 4x - 6 = 0, what is the positive solution to the equation?

Answers

I believe it's x = 3.

Step-by-step explanation:

Common factorDivide both sides by the same factorUse the quadratic formulaSimplifySeparate the equationsSolve

Solution: x = 3

Please help me
I will give brainly ond 5 stars and a thanks

Answers

Answer:

Step-by-step explanation:

The y values differ by 1. They are also 1 larger than the x value.

The equation is y = x + 1

Use x = 4 ans an example

y = x + 1

x = 4

y = 4 + 1

y = 5

At least for this example the equation works. It will for all the others as well.

6
Mr. Jones determined that the equation y = 98 - 15 x could be used to predict his
students' unit test scores, based on the number of days, x, a student was absent
during the unit. What is the meaning of the y-intercept of the function?

A. A student who was not absent during the unit should score about 98.

B. A student who was not absent during the unit should score about 94.5.

C. A student's test score should increase by about 3.2 points for each day the
student is absent.

D. A student's test score should decrease by about 3.2 points for each day the
student is absent.

Answers

A. A student who was not absent during the unit should score about 98.

Karly has 81 ounces of white paint.
She pours the paint into 7.2-ounce
containers. How many containers can
Karly fill with paint?

Answers

Karly will be able to fill 11 containers

A group of 25 employees want to go out for a group dinner.
18 employees want to go to Restaurant A.
7 employees want to go to Restaurant B.
Use this information to answer the questions below.
ws the proportion of employees who want to an to Restaurant

Answers

A is 18:25
B is 7:25

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