The average rate of change on the interval [2, 4] is 56
How to find the average rate of change on the given interval?
Here we have the function:
f(x) = 2x^3 + 1
And we want to find the rate of change on the interval [2, 4].
Remember that for a function f(x) the rate of change on an interval [a, b] is.
R = ( f(b) - f(a))/(b - a)
Then in this case, the rate of change is:
R = [ f(4) - f(2)]/[4 - 2] = ( 2*4^3 + 1 - 2*2^3 - 1)/2 = (4^3 - 2^3) = 56
So the rate is 56.
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EASY POINTS WILL GIVE BRAINLIST TO BEST ANSWER
Determine if the sequence is arithmetic. If it is, find the common difference, the 21st term, the explicit rule, the recursive rule, and the three terms in the sequence after the last one given
7, 4, 1, -2
explain
Ths. nth term of the sequence will be 4 - 3n.
The next three terms will be -5, -8 and -12.
How to illustrate the information?It should be noted that a sequence simply represents the numbers that have a common term between them.
In this case, the numbers that are given include 7, 4, 1 and -2.
It should be noted that the common difference will be:
= Second term - First term
= 4 - 7
= -3
The first term is 7. The nth term will be:
= a + (n - 1)d
= 7 + (n - 1)-3
= 7 -3n + 3
= 4 - 3n
The next three terms will be the difference of three subtracted from the numbers. This will be -5, -8 and -12.
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What is the circumference of a circular park with a radius of 100 meters?
(Round your answer to the nearest tenth.)
OA. 628.3 m
OB. 157.1 m
OC. 314.1 m
OD. 1256.6 m ?
(100 points) While practicing a tightrope walk at a height of 20 feet, a circus performer slips and falls into a safety net 15 feet below. The function h(t) = -16t^2+20, where t represents time measured in seconds, gives the performer's height above the ground (in feet) as he falls. Write and solve an equation to find the elapsed time until the performer lands in the net. Will give brainiest to person who answers the questions correctly.
The equation to find the elapsed time is -16t^2 + 20 + 15 = 0 and the elapsed time is 1.479 seconds
How to determine the equation to find the elapsed time?The given parameters are:
h(t) = -16t^2 + 20
Also, we have:
Safety net = 15 feet below
This means that
h(t) = -15
Substitute h(t) = -15 in h(t) = -16t^2 + 20
So, we have
-16t^2 + 20 = -15
Add 15 to all sides
-16t^2 + 20 + 15 = 0
Using a graphing calculator, we have
t = -1.479 and t = 1.479
Time cannot be negative
So, we have
t = 1.479
Hence, the time is 1.479 seconds
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A boat travels upstream on the Mississippi River for 3.5 hours. The return trip takes only 2.5 hours because the boat travels 2 miles per hour faster downstream due to the current. How far does the boat travel downstream?
The distance that the boat travel is 17.5 miles per hour.
How to calculate the distance?A boat travels upstream on a Mississippi river for 3.5 hours and the return trip takes 2.5 hours
The boat travels 2 miles per hour faster downstream
Let y = the speed that was traveled upsteam.
This will be illustrated as
3.5y = 2.5(y + 2)
3.5y = 2.5y + 5
3.5y - 2.5y = 5
y = 5
Therefore the distance travelled by the boat upstream will be:
= 3.5 × 5
= 17.5 miles per hour
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mickey mantle played for the new york yankees for 18 years from 1951 to 1968. year by year he hit the following numbers of home runs: 13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18. we represent these as a vector x in r by making the following assignmemt:
The sample mean of z = 247-925
Given Data:
13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18.
Mickey Mantle played for the New York Yankees for 18 years, from 1951 to 1988. The average annual number of home runs he hit was as follows:
X < - C ( 13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18)
Y < - Cumsum (X)
Y
13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18
> W < - 714 - Y
> W
Y
13, 36, 57, 84, 121, 173, 207, 249, 280, 320, 374, 404, 419, 454, 473, 496, 518, 536
> W < - 714 - Y
> W
701, 678, 657, 630, 593, 541, 507, 465, 434, 394, 340, 310, 295, 260, 241, 218, 196, 178
> Z < - C (X, Y, W)
>Z
13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18
13, 36, 57, 84, 121, 173, 207, 249, 280, 320, 374, 404, 419, 454, 473, 496, 518, 536
701, 678, 657, 630, 593, 541, 507, 465, 434, 394, 340, 310, 295, 260, 241, 218, 196, 178
a) Z's minimal value = 13
b) Sum of the element's squares in Z = 5853370
c) Z's sample mean = 247.9259
d) The variation of z in samples (variance) = 478133.92
e) Z's Standard Deviation = 218.6639
f) W's 18th element = 178
g) X's Sample Variance = 142.6536
h) The sample variance of 5x = 3566.34
i) Length of elements in 5x = 18
j) The unique (different) values are in Z = 52
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Choose from the following
A. Strong positive
B. Weak positive
C. No correlation
D. Weak negative
E. Strong negative
While graph A shows a Strong Negative Correlation (Option E), Graph B shows a No Correlation. (Option C)
What is a strong negative Correlation?
A significant negative correlation, on the other hand, suggests a substantial relationship between the two variables, but that one rises while the other falls. For example, a correlation of -0.97 suggests a high negative connection, whereas a correlation of 0.10 shows a mild positive correlation.
A scatter plot, also known as a scatter graph or scatter chart, employs dots to represent the values of many numerical variables. To demonstrate a weak positive association, the value of Y grows slightly as the value of X increases.
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Order from least to greatest {-6,-8, 3,-1,-4}
Answer:
-8, -6, -4, -1, 3
Step-by-step explanation:
Hope it helps! =D
What is the value of (−13)3 when evaluated?
−169
39
−2,197
2,197
Answer: I pretty sure that the answer is -169
Step-by-step explanation: Because it's going to need the minus symbol and I don't think -2,197 because it is a huge number HOPE THIS HELPS!!!
The value of the expression (−13)³ when evaluate is equal to -2,197.
As given in the question,
Given expression is equal to :
( -13 )³
Property used while evaluating the expression:
( - ) × ( - ) = ( + )
( + ) × ( - ) = ( - )
Evaluate the given expression ( -13 )³ value we get,
( -13 )³
Multiply first two terms we get :
= ( -13 ) × ( -13 ) × ( -13 )
= ( 169 ) × ( -13 )
Now , multiply 169 to (-13 ) the value we get
= ( -2, 197 )
Therefore, the value of the expression (−13)³ when evaluate is equal to -2,197.
The complete question is:
What is the value of (−13)³ when evaluated?
a. −169
b. 39
c. −2,197
d. 2,197
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pls pls help whoever gets it right gets marked brainliest
Answer: a
Step-by-step explanation:
i think the answer is a
The ratio of boys to girls in a classroom is 3:5 If there are 35 girls
in the class, how many boys are in the classroom?
Boys to girls
3 : 5
? : 35
35/5 = 7
5 x 7 gives number of girls.
So, 3 x 7 will give number of boys, which is 21
Thus, there are 21 boys
(basically, you find the number you multiplied by 5 to get 35, then, multiplying that number on the other side, which was 3 in this case. )
Hope this helps!
if a tv has a 30 inch screen and a height of 18 inches what is the width of the tv
Answer:
24 inches
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]18^{2}[/tex] + [tex]b^{2}[/tex] = [tex]30^{2}[/tex]
324 + [tex]b^{2}[/tex] = 900
[tex]b^{2}[/tex] = 576
[tex]\sqrt{b^{2} }[/tex] = [tex]\sqrt{576}[/tex]
b = 24
Answer:
24 inches
Step-by-step explanation:
Since the size of the screen is measured from the lower corner to the opposite upper corner.
therefore it forms a right angled triangle.
given hypotenuse is 30inch
the height is 18 inches
using the Pythagorean theorem
[tex] {hypotense}^{2} = {width}^{2} + {height}^{2} [/tex]
then
[tex] {30}^{2} = {width}^{2} + {18}^{2} \\ 900 = {width}^{2} +324[/tex]
Subtract 324 from both sides
[tex]576 = {width}^{2} \\ width = \sqrt{576} = 24 \: \: inches[/tex]
What is 22 divided by 1034
Answer:
47
Step-by-step explanation:
you said 22 divided by 1034, which is 0.02127659574 when i put it in my calculator, so im just going to guess that was a typo lol
22*47=1034, so 1034/27 is 47
solve for p. 2P+7=15 solve for p.
Answer:
p = 4
Step-by-step explanation:
2p + 7 = 15 ( subtract 7 from both sides )
2p = 8 ( divide both sides by 2 )
p = 4
Answer:
P = 4
Step-by-step explanation:
2P + 7 =15
2P = 15 - 7
2P = 8
P = 8/2
P = 4
There are 11 cups. Six of the cups contain milk. One of them contains soda. Four of them contains water. What fraction of the cups contain water and milk
Answer:
10/11
Step-by-step explanation:
count how many cups and then what ones have water and milk
What is the greatest common factor of 24, 36, 72?
The greatest common factor of 24, 36 and 72 is 12.
12 is the greatest common factor of 24, 36, and 72
The students in a class were asked wether they preferred football , tennis or hockey. The ratio of students who preferred football to tennis to hockeys is 14:8:3. What percentage of students preferred tennis
Answer:
32%
Step-by-step explanation:
Well, 14+8+3=25
So, 8/25=32/100, which means 32%
Answer:
Person above me is right
Drawing 1 uses the scale of 1 cm to 5 mi
Drawing 2 uses the scale of 1 cm to 10 mi
Which drawing is SMALLER? Why?
is smaller because
The scale of 1 cm to 5 mi is smaller.
What is scale drawings?An object is enlarged in a scale drawing. An expansion increases or decreases the size of an object by multiplying each of its lengths by a scale factor. Consequently, when using scale drawings: Find out what the drawing's scale is. Use a ruler to measure the distance on the drawing (or, if available, count the number of squares). To get the distance in real life, multiply the measurement by the scale.
Given Data
Drawing 1 uses the scale of 1 cm to 5 mi
Drawing 2 uses the scale of 1 cm to 10 mi
the scale of 1 cm to 5 mi is smaller.
1 inch to 5 miles scale means that on the drawing, 1 inch corresponds to 5 actual miles. If a road is depicted on a drawing as being 2 inches long, it is actually 10 miles long.
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Please help!!!!!!!!!
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plsssssssssssssss help
Answer: Im not sure what is supposed to happen here but x=3
Step-by-step explanation:
Janet picked a number, added 7 to the number, multipled the sum by 2,
and then subtracted 4. If the final result was 28, what number did Janet pick?
HELP PLEASE!!!!!
the number chosen by Janet was 9 .
What is linear / non-linear equation ?An equation is a statement in which the values of two mathematical expressions are equal. These statements consist of constants and variables. Constants are values that never change. Variables like y or x represent unknown numerical values. Nonlinear equations are equations that appear as curved lines when you graph them. After plotting pairs of values that make the equation true on a coordinate grid, you can't draw a straight line between the points.
Calculationfrom the question given we can come to an equation that is
2( x+7) - 4 = 28
if the number chosen by Janet is x
lets find x
2x + 14 - 4 = 28
2x = 18
x = 9
therefore the number chosen by Janet was 9 .
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What is the value of x in the triangle?
How will the volume of a cube change if its edge becomes twice as long; 3 times as
long; 10 times as long; n times as long?
Answer:8s^3 , 27s^3 , n^3s^
Step-by-step explanation:
As we know that
Volume of the cube = side × side × side
let us assume that one side is s
side = 2s
Then,
Volume = 2s ×2s×2s
=8s^3
side =3s
Then,
Volume= 3s×3s×3s
=27s^3
side =ns
Then,
Volume= ns×ns×ns
=n^3 s^3
Which type of transformation would move figure 1 onto figure 2?
translation
reflection
rotation
dilation
insert brackets to make the statement true 10 + 2 x 3^2 - 2 = 84
Inserting brackets to make the statement true 10 + 2 x 3^2 - 2 = 84 will be (10 + 2) × (3² - 2).
How to illustrate the informationIt should be noted that the information simply means that one had to put the bracket in the appropriate places on order to get the value of 84.
This will be illustrated thus:
= 10 + 2 × 3² - 2
= (10 + 2) × (3² - 2)
= 12 × (9 - 2)
= 12 × 7
= 84
Therefore, the expression is true.
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Find the median, mode, and range.
For the given discrete data series,
Median = 4'7"
Mode = 4'8"
Range = 1'3"
To begin with, let us arrange the given discrete data series in ascending order as follows:
3'7" 3'11" 4'3" 4'6" 4'7" 4'7" 4'8" 4'8" 4'8" 4'9" 4'10"
To identify the median, locate the data point that stands exact at midpoint of the series. It is the sixth entry from left and hence median = 4'7"
To identify the mode, count and identify which data points occurs highest in frequency. 4'8" is mode as it occurs highest number of times (3 times) in the series.
To calculate the range, we subtract the last entry. Thus Range = 4'10" - 3'7" = 1'3"
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Which shapes below are similar to triangle T?
Choose all of the correct answers.
A
B
C
D
E
F
Answer:
A and E only
Step-by-step explanation:
find the equation of the line. a line that is parallel to the graph of 2x+3y=5 and conatians the point (3,-1)
The equation of the line. a line that is parallel to the graph of 2x+3y=5 and contains the point (3,-1) is y+1 = -2/3 (x - 3)
Equation of a lineA line is defined by the shortest distance between two points,
The equation of a line in point slope form is expressed as;
y - y₁ = m(x-x₁)
where
m is the slope
(x₁, y₁) is any point on the line
Given the following parameters
Point = (3, -1)
Given the equation 2x + 3y = 5
3y = -2x + 5
y = -2/3x + 5
Slope = -2/3
Substitute
y - (-1) = -2/3(x-3)
y+1 = -2/3 (x - 3)
This gives the required equation of the line.
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3862 × 874 pls write step by step
надеюсь что объяснила точно и нормально
Directions: Rewrite each list of numbers in order from least to greatest 2%, 4¹ , 7/25, 2×10¹, √2, 0.2 repeating
Order from least to greatest is 2% ,0.2,[tex]\frac{7}{25}[/tex] ,[tex]\sqrt{2}[/tex],2×10¹
What is basic algebra ?The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in all areas of mathematics, including trigonometry, calculus, and coordinate geometry. 2x + 4 = 8 is a straightforward algebraic expression. In algebra, symbols are used, and operators are used to connect the symbols to one another. It is more than just a mathematical idea; it is a skill that we all utilize on a regular basis without even being aware of it.
Order from least to greatest is 2% ,0.2,[tex]\frac{7}{25}[/tex] ,[tex]\sqrt{2}[/tex],2×10¹
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help please i really need help lol
Answer:
68
Step-by-step explanation:
because first u have to add it all up then take away