Answer:
[tex]R= 2.6[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 40e^{.06t[/tex]
[tex][a,b] = [0,3][/tex]
Required
Determine the average rate of change (R)
This is calculated as follows:
[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex]a = 0[/tex] and [tex]b = 3[/tex]
Substitute 0 for a and 3 for b
[tex]R = \frac{f(3) - f(0)}{3 - 0}[/tex]
[tex]R = \frac{f(3) - f(0)}{3}[/tex]
[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]
Calculate f(3)
[tex]f(x) = 40e^{.06t[/tex]
[tex]f(3) = 40e^{.06*3}[/tex]
[tex]f(3) = 40e^{0.18}[/tex]
[tex]f(3) = 40 * 1.197[/tex]
[tex]f(3) = 47.88[/tex]
Calculate f(0)
[tex]f(x) = 40e^{.06t[/tex]
[tex]f(0) = 40e^{.06*0}[/tex]
[tex]f(0) = 40e^{0}[/tex]
[tex]f(0) = 40*1[/tex]
[tex]f(0) = 40[/tex]
So, the expression:
[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]
[tex]R= \frac{1}{3}[47.88 - 40][/tex]
[tex]R= \frac{1}{3}[7.88][/tex]
[tex]R= 2.62666666667[/tex]
[tex]R= 2.6[/tex]
Hence, the average rate of change is approximately 2.6
Two workers win prize of £240, they share prize money in ratio of 3.5, how much does one get
d=.5*a*t^2 - solving for a[tex]d=.5*a*t^2[/tex]
Answer:
[tex]\displaystyle a=\frac{d}{.5*t^2}[/tex]
Step-by-step explanation:
Equation Solving
We are given the equation:
[tex]d=.5*a*t^2[/tex]
It's required to solve it for a.
Swap sides to have the letter on the left side:
[tex].5*a*t^2=d[/tex]
Divide by [tex].5*t^2[/tex]:
[tex]\mathbf{\displaystyle a=\frac{d}{.5*t^2}}[/tex]
can you guys plz help ASAP
o need help with my math its manly slope m
Answer:
nvm everybody hates me
Step-by-step explanation:
Point-slope form
Complete the point-slope equation of the line through (8, —8) and (9.8).
Use exact numbers.
y-8=
Answer:
The equation in point-slope form is:
[tex]y-\left(-8\right)=16\left(x-8\right)[/tex]
The equation of the line in slope-intercept form is:
[tex]y=16x-136[/tex]
Step-by-step explanation:
Given the points
(8, -8)
(9, 8)
Finding the slope between (8, -8) and (9, 8)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(8,\:-8\right),\:\left(x_2,\:y_2\right)=\left(9,\:8\right)[/tex]
[tex]m=\frac{8-\left(-8\right)}{9-8}[/tex]
[tex]m=16[/tex]
Point slope form:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here:
m is the slope and (x₁, y₁) is the point
substituting the values m = 16 and the point (8, -8) in the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-8\right)=16\left(x-8\right)[/tex]
Thus, the equation in point-slope form is:[tex]y-\left(-8\right)=16\left(x-8\right)[/tex]
now completing the point-slope form equation of the line
[tex]y+8=16\left(x-8\right)[/tex]
subtract 8 from both sides
[tex]y+8-8=16\left(x-8\right)-8[/tex]
[tex]y=16x-136[/tex]
Thus, the equation of the line in slope-intercept form is:[tex]y=16x-136[/tex]
please help meeee with this question
Answer:
Its possible 1 it looks like an equilateral triangle and 4 times whatever x is has to be the same as x+3 which can only be D i hope this help
Step-by-step explanation:
Which two recipes have equivalent ratios of cups of flour needed to the number of cookies?
recipes cups of flour needed number of cookies
sugar 3 33
oatmeal raisin 4 40
chocolate chip 3 32
Macadamia Nut 2 22
Question 7 options:
Macadamia Nut & Oatmeal Raisin
Sugar & Oatmeal Raisin
Chocolate Chip & Sugar
Sugar & Macadamia Nut
Oatmeal Raisin & Chocolate Chip
Answer:
poop
Step-by-step explanation:
Which two expressions are equivalent?
A 4(x + 5) and 4x + 9 C 4(x + 5) and 4x + 20
B 4(x + 5) and 4x + 5 D 4(x + 5) and 4 + x + 4 + 5
Order -3/4, 3/8, -1 1/8, -1/2 from least to greatest.Which is correct?
-1 1/8, -3/4, -1/2, 3/8
-1/2, -3/4, 1 1/8, 3/8
3/8, 1 1/8, -3/4 , -1/2
Answer:
LEAST TO GREATEST: should be A. (-11/8, -3/4, -0.5, 3/8) hope this helped
Step-by-step explanation:
-1/2 is negative .0 = -0.5
-3/4 is negative .75 = -0.75
-11/8 is negative 1. 3 = -1.3
3/8 is a positive .375 = 0.375
Let Me Know if i was right. :)
Answer:
-1 1/8, -3/4, -1/2, 3/8
Step-by-step explanation:
convert to improper fractions and same denominator
-1 1/8 = -9/8
-3/4 = -6/8
-1/2 = -4/8
3/8 = 3/8
Because -1 1/8 is further left on the number line, then -3/4, then -1/2, and finally 3/8.
(2x - 5) (x^2 + x - 2) =
What is the solution to the system of equations graphed below?
y=-4x + 33
y=5/3x-1
Answer:
x = 6
y = 9
This is the correct answer. Not satisfied? Check out this answer expert verified answer of the same question but with a step-by-step explanation. This answer is just a simple version of rocioo's correct answer.
Expert Verified Answer (of this same question but with a step-by-step explanation):
This is the link to rocioo's answer. https://brainly.com/question/13675950
Can someone please help me with this question
Answer:
Eat some mc donolds then ur good
Step-by-step explanation:
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Some one teach me how to do this I’m in a break out room and I don’t know how to do this
Answer:
start by putting in the y intercept, -4 on the y axis
then go up 5 and 1 right one to give your a slope of positive 5
Step-by-step explanation:
porque yo so muy inteligente,la reina...Help me fast pleaseeeee
Answer:
y=-2x-2
Step-by-step explanation:
Find slope and y intercept
Line segment length from A to B using pythagorean theorem
Answer:
13
Step-by-step explanation:
Two artillery bases are located at the points A and C represented in the figure. Each of the bases locates an enemy airplane at point B. The base at A measures the angles of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters. If the distance from the base at C to the plane is 2,517 meters, what is the measure, in degrees, of ∠CBA?
Answer:
the answer is 17 here is the step below
Step-by-step explanation:
Use the Law of Sines to find the distance. For a triangle with angles A, B, and C, and opposite sides a, b, and c, the Law of Sines states that sinAa=sinBb=sinCc.
In this case, the angle at point B, let it be α, needs to be found. The Law of Sines can be used to relate α, the two known sides, and the angle at point A.
The Law of Sines states that sinα739=sin95∘2517.
By simplifying, sinα=739sin95∘2517. Since α is acute, α=sin−1(739sin95∘2517)≈17.0∘.
The measure of the angle is 17 degrees if the A measures the angle of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have a triangle shown in the picture
To find the measure of the angle ∠CBA
Applying sin law:
sin95/2517 = sin∠CBA/739
0.292 = sin∠CBA
∠CBA = sin⁻¹(0.292)
∠CBA = 17 degrees
Thus, the measure of the angle is 17 degrees if the A measures the angles of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ2
2) Which of the following is an equivalent ratio to 12:48? Choose all that apply.
a. 3:12
b. 6:24
C. 24.48
d. 24.96
Which number represents 50% of 1.5?
A
0.50
0.75
c
1.00
2.25
Answer:
0.75
Step-by-step explanation:
50% * 1.5
0.75
Hope this Helps!!!
Y=-1/4x +9 what is the slope and y - intercept
Answer:
Step-by-step explanation:
The equation is y = Mx + b
so the slope is -1/4 and the y intercept is (0,9)
A square has been divided into a equal-sized pieces. Four of the peices are shaded.
Answer:
it is now 1 whole
Step-by-step explanation:
Does anyone know this?
Answer:
b
Step-by-step explanation:
the answer is b because you got 1.08c
Answer:
2nd and 3rd don't match so with process of elimination I would go with A
Step-by-step explanation:
Car dealership pays a wholesale price of $10,000 to purchase a vehicle if they mark up the price 20% what is the retail price of the car
Answer:
8000
Step-by-step explanation:
10000 x 20% = 2000
10000-2000= 8000
Please help me with this one
Answer:b because it has three sides.
Step-by-step explanation:
Simplify:
3(8) 0 • (3) –2
a–27
b24/9
c–216
d 1/3
Answer:
-2a-27b.2^3/3c-2161/3
Answer all these questions, please I will give brainlist:)
Answer:
hERE BRUDDA
Step-by-step explanation:
Simplify the expression.
5(2) + 2(4 + 3)
21
24
84
140
Answer:
24
Step-by-step explanation:
5(2) + 2(4 + 3)
5 x 2 + 2 x 7
10 + 14 = 24
Here you go! :D
Help me please please
Answer:
Step-by-step explanation:
i have no idea what to do
idk what he answer is pls help
Answer:
To Protect the egg
Step-by-step explanation:
What property is shown in the following equation?
17 + 8 + 3 = 17 + 3 + 8
Answer:
The Commutative Law of Addition.
Step-by-step explanation:
Basically, this law says we can swap numbers over and still get the same number when we add. This has demonstrated exactly that.
Hope this helped!
Answer:
Associative property
A square shaped pasture has an area of 144 square feet. What is the perimeter of the pasture?
Answer:
48 ft.
Step-by-step explanation:
sqr root 144= 12
12x4=48