Answer:
See Explanation
Step-by-step explanation:
Incomplete question as the function is not given. So, I will give a general solution
Required
Determine the average rate of change from t = 2 to 4
Average rate of change is :
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
In this case: a = 2 and b = 4
So, we have:
[tex]Rate = \frac{f(4) - f(2)}{4 - 2}[/tex]
[tex]Rate = \frac{f(4) - f(2)}{2}[/tex]
Assume that the exponential function is:
[tex]f(t) = 3^{-t[/tex]
f(4) and f(2) will be:
[tex]\\ f(4) = 3^{-4} = \frac{1}{81}[/tex]
[tex]f(2) = 3^{-2} = \frac{1}{9}[/tex]
So:
[tex]Rate = \frac{f(4) - f(2)}{2}[/tex]
[tex]Rate = \frac{\frac{1}{81} - \frac{1}{9}}{2}[/tex]
Take LCM
[tex]Rate = \frac{\frac{1 - 9}{81}}{2}[/tex]
[tex]Rate = \frac{-\frac{8}{81}}{2}[/tex]
[tex]Rate = -\frac{8}{81}*\frac{1}{2}[/tex]
[tex]Rate = -\frac{4}{81}[/tex]
So, the average rate of change is a decrease of 4/81
what is the greatest common factor of 27 , 18 , and 63 ?
Answer:
9
Step-by-step explanation:
18/2 = 9
27/3 =9
63 = 9
I don't know how to explain this more
10e + 3 < 92
Please reply quickly and explain. I'm having trouble understanding.
Answer:
10E+3 <92
10(e:6) or any number
10(6)=60+3=63 <92
Step-by-step explanation:
Answer:
10e + 3 < 92
Step-by-step explanation:
Any number times ten plus three is less than 92. Like e = 3, which would be 10(3)+3, or 33. Any number that would make the statement true can be used in the place of e.
MathWiz wya boo??.......
Answer:
i dont see angle S
Step-by-step explanation:
Answer:
108
Step-by-step explanation:
3x + 12 + 5x + 8=180
8x + 20= 180
8x= 160
x= 20
Angle S:
5x + 8
5(20) + 8
100 + 8
108
Please help me find the value of X!!!!!! Please!!!!
Answer:
52
Step-by-step explanation:
The mass of Jupiter is 1.8987x10/\27 kilograms and is roughly 317.8 times the mass of Earth. The mass of the solar system is about 1.992x10/\30 kilograms. The Sun accounts for about 99.8% of this mass.
a. Find the mass of Earth in kilograms
b. What is the approximate mass of all of the other objects in the solar system, not counting the sun?
c. what percentage of the mass obtained in part b is represented by jupiter?
plsssssssssssssssss help!!!!
Answer:
i dont really get the question
9) What is the equation of the
function y = 3/x translated 6
units to the right and 2 units
down?
Answer:
-2 = 3/6
Explanation:
6 units the right would be the X, and 2 units down would be the Y.
Answer:
y'' = 3/(x - 6) - 2Step-by-step explanation:
Given function
y = 3/xTranslation 6 units to the right:
f(x) → f(x - 6)y' = 3/(x - 6)Translation 2 units down:
f(x) → f(x) - 2y'' = 3/(x - 6) - 2Factor the following trinomial
x2 + 8x – 9
Answer with step-by-step solution:
x^2+8x-9
x^2+9x-x-9
x(x+9)-(x+9)
(x+9)(x-1)
multiple choice ! pls help
Tell me what's better 38 packs of water for $14.60 or 63 packs of water for 24.90
Answer:
I think 63 packs
Step-by-step explanation:
But not sure so tell me if I'm right
Samuel read 8 books in 10 months. What was his rate of reading in books per month?
Answer:
Answer 1.25
Step-by-step explanation:
Tolal moths he take to read 8 book = 10
Therefore, Total month he will take to read 1 book =10/8=1.25
homework please help its over due
Step-by-step explanation:
TRIANGLE 1
c = 2√5
= 2 × √5
= √4 × √5
= √20
a = 2
b = ?
b² = c² - a²
= √20² - 2²
= 20² - 4
= 400 - 4
= 396
b = √396
= √36 × √11
= 6 × √11
= 6 √11
TRIAGLE 2
a = 12
b = 6√11
= √396
c = ?
c² = a² + b²
= 12² + √396
= 144 + √396²
= 144 + 396
c = √540
= √36 × √15
= 6 × √15
= 6 √15
Sorry if i wrong. Im beginner in USA server
Due today answer with steps.
Please help me......
Answer:
[tex]\frac{3}{8}[/tex]
Step-by-step explanation:
[tex]A=6*\frac{1}{4} ^2\\\\A=6*\frac{1}{16} \\\\A=\frac{6}{16} \\\\A=\frac{3}{8}[/tex]
Answer:
[tex]A = \frac{3}{8}ft^2[/tex]
Step-by-step explanation:
Using the given formula, [tex]A=6s^2[/tex], and the given value for the side length of the cube, [tex]\frac{1}{4}[/tex] foot, substitute the given value into the equation and solve.
[tex]A=6(\frac{1}{4})^2[/tex]
Remember, setting any value to the second power is the same as multiplying the base (the value that is being squared) by itself. Apply this information to the given problem,
[tex]A = 6(\frac{1}{4}*\frac{1}{4})\\\\A = 6(\frac{1}{16})\\\\A = \frac{6}{16}\\\\A = \frac{3}{8}[/tex]
Cory makes a map of his favorite park, using a coordinate system with units of yards. The old oak tree is at position (3, 7) and the granite boulder is at position (-2, 6). How far apart are the old oak tree and the granite boulder? Round to the nearest tenth if necessary
Answer: 5.09 units
Step-by-step explanation:
Given
Coordinates of Old oak tree are (3,7)
Coordinates of granite boulder are (-2,6)
Distance between them is given by distance formula i.e.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between them is
[tex]\Rightarrow d=\sqrt{(-2-3)^2+(6-7)^2}\\\Rightarrow d=\sqrt{(-5)^2+(-1)^2}\\\Rightarrow d=\sqrt{25+1}=\sqrt{26}\approx 5.09\ \text{units}[/tex]
How do you graph (0,4) need help thank you!
Answer:
Just move 4 spaces up
Step-by-step explanation:
Answer:
left 0 up 4
Step-by-step explanation:
Lori is running in a marathon, which is 26.2 miles long. So far she has run one-tenth of the marathon. How far has Lori run?
Answer:
2.62
Step-by-step explanation:
Whoever gets this correct gets brain, 5 stars and a thanks! An explanation of it would be amazing! Tysm!
Answer:
Greatest to Least:
76
8
-53
-274
76 is the highest positive number, which is then followed by 8
The bigger the NEGATIVE number, the least it is. So, -274 is smaller than -53
7 Hershey bars costs $6.23. Find the cost for 5 Hershey bars. *
Which image shows a reflection ABC
Answer:
A I think
Step-by-step explanation
Answer:
A
Step-by-step explanation:
I am not sure but I think it's A
Find the height of the trapezoid
Answer: 25 yds
Step-by-step explanation:
a = (b1+b2)/2*h
600=(25+23)/2*h
600 = (48/2)*h
600=24h
h=25 yd
Value: 4
Which statement is incorrect about functions?
a. For each item in the domain there is only one item associated with it in the range.
b. For each item in the range there is only one item associated with it in the domain.
c. Given the function y=f(x) = 2x +1, when x=1, f(1)=3.
d. Given the function y=f(x)=x, when x = 2, f(2) = 2.
Answer: c
Step-by-step explanation:
HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!
Answer: I think it is C. I might be wrong but I tried
Step-by-step explanation:
PLEASE HELP ME FIND CE!!
Answer:
the answer is 14
Step-by-step explanation:
i am sorry if im wrong
Gabriella went shopping for a new pair of pants because of a sale. The store was offering a 30% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?
Answer:
Step-by-step explanation:
Just multiply by 0,3
For EXAMPLE
30% of 100 would be 30
100 x 0,3 = 30
Can someone explain how to do this?
9514 1404 393
Answer:
9 and 10
Step-by-step explanation:
Make use of your knowledge of multiplication tables.
9² = 81
(√89)² = 89
10² = 100
√89 lies between 9 and 10
make (4, 10) and (3, 5) eqaution
Answer:
y=5x-10
Step-by-step explanation:
To find the slope
rise/run
10-5=5
4-3=1
The slope is 5
Y-intercept
y=5x+b
Use any coordinate for y and x and solve
10=5(4) +b
10=20+b
-10=b
-10 id the y-intercept
Which of the following is equivalent to 8x2+20x+
Find the value of x in the triangle shown below.
=
5
29
88°
5
6.9
Answer:
46 Degrees
Step-by-step explanation:
Because the sides are equal, we can assume that both of the remaining angles are equal. All triangles add up to 180 so 180-88= 92. Since both angles are equal we divide that by two and get 46 degrees.
What is the area of this quadrilateral?
2 ft
3 ft
8 ft
8 ft
3 ft
2 ft
A. 40 square feet
B. 80 square feet
C. 24 square feet
D. 20 square feet
What is the slope-intercept formula for a line with a rise of 3, a run of 1 and a y-Intercept of 5?
Answer:
y=3x+5
Step-by-step explanation:
y=mx+b
intercept is 5, postive and represents b
Slope is 3 and represents m