Answer:
1.875
Step-by-step explanation:
the average rate of change of g(x) in the closed interval [ a, b ] is
[tex]\frac{g(b)-g(a)}{b-a}[/tex]
here [a, b ] = [- 1, 3 ] , then
g(b) = g(3) = 2³ + 1 = 8 + 1 = 9
g(a) = g(- 1) = [tex]2^{-1}[/tex] + 1 = [tex]\frac{1}{2}[/tex] + 1 = 1.5
then
average rate of change = [tex]\frac{9-1.5}{3-(-1)}[/tex] = [tex]\frac{7.5}{4}[/tex] = 1.875
Two classes of students took an exam.
Here is a list of the scores in Class A:
65, 70, 70, 80, 80, 85, 85, 85, 90, 90, 100
Here is a box plot that shows the scores in Class B:
Box plot from 55 to 100 by 5’s. Whisker from 60 to 70. Box from 70 to 80 with vertical line at 75. Whisker from 80 to 90.
1. Which class had better overall results on the exam?
2. Which class had greater variability in the results?
The class that had better overall results on the exam is class A.
The class with greater variablity in results is class B.
Which class performed better?The statistics of students in class A:
Maximum score = 100
Minimum score = 65
Median = 85
First quartile = 1/4(n + 1) = 1/4 x 12 = 3rd term = 70
Third quartile = 3/4 x (n + 1) = 3/4 x 12 = 9th term = 90
The statistics of students in class B:
Maximum score = 100
Minimum score = 55
Median = 75
First quartile = 70
Third quartile = 80
Which class had greater variability in the results?The range would be used to determine which class has greater variability.
Range = highest score - lowest score
Class a = 100 - 65 = 35
Class B = 100 - 55 = 45
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Answer has exponent please help
Answer:
the exponent is four
2x2x2x2 is 16
I chose B as an answer but I’m not sure
Answer:
hy the answer is C. a car maintained constant speed
Answer:
c.A car maintained constant speed
Step-by-step explanation:
according to the graph,velociry is always in a straight line over time.
so the velocity is constant
so A car maintaned constant speed
Fatima wants to find the value of sine theta, given cotangent theta = four-sevenths. which identity would be best for fatima to use?
By using trigonometric relations, we will find that:
sin(θ) = (√33)/7 = √(33/49)
How to find the value of the sine?Remember that for a right triangle, we have the relations:
cos(a) = (adjacent cathetus)/(hypotenuse)
sin(a) = (opposite cathetus)/(hypotenuse).
Here we know that:
cos(θ) = 4/7
Then we can say that we have a triangle with an adjacent cathetus of 4 units and a hypotenuse of 7 units. Now we need to find the other cathetus.
opposite cathetus = √(7^2 - 4^2) = √33
Then we can write:
sin(θ) = (√33)/7 = √(33/49)
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Answer:
The answer is D.
Step-by-step explanation:
Edge 2022
Help me Please!!!!! I need it!!!!
Answer:
-3125
Hope this helps!!
How much money will you have in 8 years if you invest $4000 at 2% compounded quarterly
Answer:
If you invest $4000 at 2% compounded quarterly you will make 4,694$.
Step-by-step explanation:
Answer:
$4686.64
Step-by-step explanation:
here is the function 4000(1+0.02)^8
For the function f(x) = x2
Find f(5) =
Find f(-5) =
Answer:
25
Step-by-step explanation:
..............
Match the transformation with the description.
Answer:
Translation = Slide
Reflection = Flip
Rotation = Turn
Step-by-step explanation:
A person standing at the top of Mountain Rainier would be approximately 2.7 mi high. The radius of earth is 3959 mi.What is the distance to the horizon from this point?
Answer:
103.4 mi to nearest hundredth.
Step-by-step explanation:
This is an application of the Tangent/secant of a Circle theorem.
If h is the distance to the horizon:
h^2 = 2.7 * (3959 + 2.7)
h^2 = 10696.59
h = 103.424 miles.
(1 - cot theta) ^ 2 + (1 + cot theta) ^ 2 = 2cosec ^ 2 theta
[tex]\text{L.H.S}\\\\=(1 - \cot \theta )^2 + (1 + \cot \theta)^2 \\\\=(1-\cot \theta + 1 + \cot \theta)^2 - 2(1 -\cot \theta)(1 + \cot \theta)\\\\=2^2 - 2(1 - \cot^2 \theta)\\\\=4-2+2 \cot ^2 \theta\\\\=2+2 \cot^2 \theta\\\\=2(1 + \cot^2 \theta)\\\\=2 \csc^2 \theta\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
¿Es cierto que 8/12 2/4 = 1 1/6?
Find the surface area of the pyramid to the nearest whole number.
140 in2
40 in2,
180 in2
80 in2.
taking a peek at the pyramid, is really just 4 triangles stemming from a common top and touching a squarish base at the edges.
so hmmm to get the surface area of the pyramid, we can simply get the area of all those four triangles and the square and sum them up.
[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{\textit{four triangles}}{4\left[\cfrac{1}{2}(\stackrel{b}{10})(\stackrel{h}{4}) \right]}~~ + ~~\stackrel{square}{(10)(10)}}\implies 80~~ + ~~100\implies 180~in^2[/tex]
When rolling a pair of die, what is the probability of rolling the sum of 12 OR less than 5? P(sum of 12 OR <5)
Please answer this asap
The probability of rolling a sum of 12 or smaller than 5 is:
P = 7/36 = 0.194
How to find the probability?Each dice has a total of 6 outcomes. Then for rolling two die, the total number of outcomes is:
6*6 = 36
The probability of rolling a sum of 12 or smaller than 5, is equal to the quotient between the number of outcomes that meet the above condition and the total number of outcomes.
There is only one outcome that adds up to 12.
And by looking at the table, we can see that there are 6 outcomes that add up to numbers smaller than 5.
So 7 outcomes meet the condition.
Then the probability is:
P(sum of 12 or <5) = 7/36 = 0.194
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This table shows the relationship between x and y.
40 points please give the right answer
Step-by-step explanation:
dk if this makes sense
A second boat passes by your port, at a distance of 1,500 feet from shore. 10 seconds later, the boat is 2,000 feet away from you. how fast was the boat going?
Match each graph on the left with the functions on the right.
The correct answer to match the graph is 1 ⇒C, 2⇒ D 4 ⇒B 3⇒ A respectively.
What is the definition of a linear equation?
It is described as a relationship between two variables that results in a straight line if the graph of the linear equation is plotted.
When just one variable is involved in a linear equation, the equation is referred to as a linear equation in one variable.
The four graph are attached in the attachment.
Hence,the correct answer to match the graph is 1 ⇒C, 2⇒ D 4 ⇒B 3⇒ A respectively.
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Evaluate the expression.
7^0
Answer:
Heyyy!!!!
The answer is 1.
Please read explanation it will definitely help you....
Step-by-step explanation:
Okay... Here it goes...
Basically, there is an exponent rule that says that anything to the power of 0 is 1.
I hope this helps!
Answer:
7^0 = 1
Step-by-step explanation:
Anything that has an exponent of 0 is 1.
How do I solve augmented matrices??
Write the coefficients of the x-terms as the numbers down the first column.
Write the coefficients of the y-terms as the numbers down the second column.
If there are z-terms, write the coefficients as the numbers down the third column.
Draw a vertical line and write the constants to the right of the line.
The function f(x)= x3 - 10x² + 29x-20 is graphed below. Over which interval
is the rate of change negative?
Answer:
2.2 ≤ x ≤ 4.5
Step-by-step explanation:
The rate of change simply is asking when the gradient is negative and since a graph is provided you can tell where the line is declining which is in between 2.2 and 4.5. Without a graph, you can use the derivative to find out the negative rate of change of a cubic instead.
Point A is located at (1, 5), and point M is located at (−1, 6). If point M is the midpoint of segment AB, find the location of point B.
Question 6 options:
(−3, 7)
(0, 5.5)
(3, 4)
(0, 5)
The location of point B is (0,5.5).
What is section formula?The section formula tells us the coordinates of the point which divides a given line segment into two parts such that their lengths are in the ratio m : n.
Given: A(1,5), M(-1,6)
If M is the mid point of line AB, then
let the coordinates of B(a,b),
Using section formula,
a= 1*1+1*(-1)/(1+1)
a= 0/2
a=0
b= 1*6+1*5/2
b=11/2
b=5.5
Hence, the coordinated of B(0,5.5).
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Answer:
B. (0,5.5)
B's location is (0,5.5)
Does anybody know this? I had it right before but now I don't remember the answer. Find the surface area of the square pyramid.
Answer:
The surface area of the square pyramid is 280 units².
Step-by-step explanation:
As we know that the total surface area of a square pyramid can be obtained by identifying the length 'b' of its base and its slant height 's' by using the formula:
[tex]A=2bs+b^2[/tex]
From the figure, it is clear that
length of its base = 'b' = 9slant height = 's' = 10substituting the values in the formula
[tex]A=2bs+b^2[/tex]
[tex]A=2[/tex] [tex](10)[/tex] [tex](9)+(10)^2[/tex]
[tex]=2[/tex] [tex](10)[/tex] [tex](9)+100[/tex]
[tex]=280[/tex]
Therefore, the surface area of the square pyramid is 280 units².
A cone has a volume of 37.68cm3. If the height of the cone is 9cm what is the radius of the cone's
base?
cm
Radius:
(Use 3.14)
Answer:
[tex]2cm[/tex]
Step-by-step explanation:
Volume of a cone= [tex]\pi r^2\frac{h}{3}[/tex]
Substitute: [tex]37.68cm^3=\pi r^2(\frac{9}{3})[/tex]
[tex]37.68cm^3=\pi r^2(3)[/tex]
[tex]37.68cm^3=\pi r^2(3)[/tex] Divide by 3
[tex]12.56cm=\pi r^2[/tex] Divide by pi
[tex]4cm=r^2[/tex]
[tex]r=\sqrt{4}[/tex]
[tex]r=2[/tex]
what is the absolute value of |4.7|
Answer:
4.7
Step-by-step explanation:
Answer:
4.7
Step-by-step explanation:
best estimate for 6 3/4 divided by 1 2/3
Answer:
4.05
Step-by-step explanation:
Answer all.
a)Name two angles that are complementary.
_______________________
b)Name the angle supplementary to BOA
_______________________
c)AOE and DOE are supplementary.Find mAOE
_______________________
d)Name the angels adjacent to BOC
_______________________
PLEASE ANSWER AND SHOW WORK FOR ALL!!
Answer:
see attached picture for details
a = BOA + COD
b = BOD
c = 150
d = BOA + COD
Step-by-step explanation:
see attached picture with color coded answers
I NEED HELP IN THIS PLSSS
Answer:
1. A
2. i think c not sure
Step-by-step explanation:
You roll a 6-sided die.
What is P(greater than 4 or factor of 5)?
Answer:
P(greater than 4 or factor of 5) = 1/3
Step-by-step explanation:
→ let A be the set {the numbers greater than 4}
then A : {5 , 6}
p(A) = 2/6
→ let B be the set {the factors of 5}
then B : {1 , 5}
p(B) = 2/6
P(greater than 4 or factor of 5) = p(A∪B)
Formula =================
p(A∪B) = p(A) + p(B) - p(A∩B)
………………………………………………
A∩B : {5}
then
cardA∩B = 1
Then
p(A∩B) = 1/6
Finally :
p(A∪B) = p(A) + p(B) - p(A∩B)
= 2/6 + 2/6 - 1/6
= 3/6
= 1/3
Pleaseee help mee!!!
Answer:
down shift 90
Step-by-step explanation:
-90 will shift the graph down 90 units
Can someone explain scientific notation to me? And also another question. Is 9.725 x 10^6 a scientific notation? What about 9.7250 x 10^6
Both of those values are in scientific notation
Scientific notation is when we have numbers of the form [tex]a \times 10^b[/tex] where [tex]0 \le a < 10[/tex] and b is an integer.
Both 9.725 and 9.7250 are inside the inequality mentioned above.
Scientific notation is used to help describe very large numbers, or very small numbers, depending on context.
---------------
If you wanted to convert from scientific notation to standard notation, then you'll move the decimal point based on what the exponent is. The positive 6 means we move the decimal point 6 places to the right.
We go from 9.725 to 9,725,000 which is about 9.7 million
In other words, [tex]9.725 \times 10^6 = 9,725,000[/tex]
As another example, [tex]1.23 \times 10^{11} = 123,000,000,000 = \text{123 billion}[/tex] since we start at 1.23 and move the decimal point 11 spots to the right to arrive at 123,000,000 aka 123 billion.