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
What is an equation of the line that passes through the points (-4,-4) and (4,6), answer in fully reduced form.
Use
y
2
−
y
2
x
2
−
x
1
4
−
9
2
−
3
=
−
5
−
1
=
5
Answer link
Jim G.
Jun 11, 2018
y
=
5
x
−
6
Explanation:
the equation of a line in
slope-intercept form
is.
∙
x
y
=
m
x
+
b
where m is the slope and b the y-intercept
to calculate m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
2
,
4
)
and
(
x
2
,
y
2
)
=
(
3
,
9
)
m
=
9
−
4
3
−
2
=
5
1
=
5
y
=
5
x
+
b
←
is the partial equation
to find b substitute either of the 2 given points
into the partial equation
using
(
2
,
4
)
then
4
=
10
+
b
⇒
b
=
4
−
10
=
−
6
y
=
5
x
−
6
←
is the equation of lineAnswer:
Step-by-step explanation:
Use
y
2
−
y
2
x
2
−
x
1
4
−
9
2
−
3
=
−
5
−
1
=
5
Answer link
Jim G.
Jun 11, 2018
y
=
5
x
−
6
Explanation:
the equation of a line in
slope-intercept form
is.
∙
x
y
=
m
x
+
b
where m is the slope and b the y-intercept
to calculate m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
2
,
4
)
and
(
x
2
,
y
2
)
=
(
3
,
9
)
m
=
9
−
4
3
−
2
=
5
1
=
5
y
=
5
x
+
b
←
is the partial equation
to find b substitute either of the 2 given points
into the partial equation
using
(
2
,
4
)
then
4
=
10
+
b
⇒
b
=
4
−
10
=
−
6
y
=
5
x
−
6
←
is the equation of line
given: 2c=d-2b, c=a-b, d=a+b prove: a=b
Answer:
D
Step-by-step explanation:
I don't get this find all missing angles what does it mean how do I do it
First, you can find angle 1 by using the triangle angle formula, stating that all angles add up to 180 deg. Thus, angle 1 is equal to 180-72-57= 51 deg.
Next, you can find angle 2 by using the right angle shown. This means that angle 2 plus 72 deg = 90 deg. Thus, angle 2 is equal to 90-72= 18 deg.
For angle 3, notice that it is bordering the other angle on a straight line. A straight line is equal to 180 deg. This means that angle 3 + 57 deg = 180 deg. Thus, angle 3 is equal to 180-57= 123 deg.
Angle 4 can be found by using the triangle angle formula used for angle 1. In this case, angle 2+3+4 will equal 180 deg. Thus, angle 4 is equal to 180-18-123= 29 deg.
Answer:
1= 51
2= 18
3= 123
4= 39
Step-by-step explanation:
First you must know that all triangles equal 180. From there you can add and subtract the known numbers to get your answers. For example with angle 1, because you are give 72 and 57 you must add them together to get 129 then subtract that from 180 to get 51. You can do similar steps for all the angles to receive the answers.
6. Lars walks his dog 4 times farther than Michelle
walks her dog. Michelle walks her dog 0.23 mile.
How far does Lars walk his dog?
Answer:
0.92
Step-by-step explanation:
what is the maximum number of cubes with side lengths of 1/2 cm that can fit into a right rectangular prism with base dimensions of 12 1/2 cm by 8 1/2cm and a height of 9 1/2cm?
Answer:
8075.
Step-by-step explanation:
Volume of the prism
= 12 1/2 * 8 1/2 * 9 1/2
= 25/2 * 17 / 2 * 19/2
= 8075/8 cm^3
The volume of the small cubes = (1/2)^3 = 1/8 cm^3
So the number required = 8075 / 8 / 1/8
= 8075*8 / 8
= 8075.
WILL MARK BRAINLIEST PLS HELP
choose all of the points that are solutions to the equation y = x2 - 3x - 4
-4,0
-1, 0
0, -4
1, -6
1, 0
3, -7
pls
Answer:
-1,0
0,-4
1,-6
Step-by-step explanation:
plug in the first number into x and it gets you the second number
(-1, 0), (0, -4), (1, -6) points are solutions of the given quadratic equation.
What is a quadratic equation?A quadratic equation is an equation where the variable has the highest power of 2.
Given equation is y = x² - 3x - 4
1. For (-4, 0), L.H.S = 0, R.HS = (- 4)² - 3(- 4) - 4 = 24.
Hence, (-4, 0) is not a solution of the given equation.
2. For (-1, 0), L.H.S = 0, R.HS = (- 1)² - 3(- 1) - 4 = 0.
Hence, (-1, 0) is a solution of the given equation.
3. For (0, -4), L.H.S = -4, R.HS = (0)² - 3( 0) - 4 = - 4
Hence, (0, -4) is a solution of the given equation.
4. For (1, -6), L.H.S = -6, R.HS = (1)² - 3(1) - 4 = -6.
Hence, (1, -6) is a solution of the given equation.
5. For (1, 0), L.H.S = 0, R.HS = (1)² - 3(1) - 4 = -6.
Hence, (1, 0) is not a solution of the given equation.
6. For (3, -7), L.H.S = -7, R.HS = (3)² - 3(3) - 4 = -4.
Hence, (3, -7) is not a solution of the given equation.
Learn more about quadratic equation here: https://brainly.com/question/2263981
#SPJ2
Lamar uses his credit card to purchase a new video game system for $375.19. He can pay off up to $175 per month. The card has an annual
rate of 19.2% compounded monthly. How much total interest will he pay?
Answer:
B
Step-by-step explanation: He will make two payments on the game system and then u divide the 175 with the 19.2 and that will give u the answer
5x−7 = 3 help meee plz
Answer:
5x=3+7
5x=10
X=10/5
=2
Which expression is equal to 2xx−2−x+3x+5?
Answer:
It's the fourth one
Following are the solution to the given expression:
Given:
[tex]\bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}[/tex]
To find:
Expression =?
Solution:
[tex]\to \bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}\\\\\to \bold{\frac{2x(x+5) -(x+3) (x-2)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 -2x+ 3x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 +x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -x^2 -x+6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{x^2+9x+6}{(x-2)(x+5)}}\\\\[/tex]
Therefore, the answer is "last choice".
Learn more:
brainly.com/question/17079155
Find the degree measure of the angle with the given radian measure. (Round your answer to one decimal place.)
Answer:
108 degrees
Step-by-step explanation:
Since we are not given the radian measure. Let the radian measure be 3π/5 rad;
Using the conversion;
πrad = 180°
3π/5 rad = x
Cross mulriply;
π * x = 180 * 3π/5
x = 180 * 3/5
x = 36 * 3
x = 108 degrees
Hence the degree measure is 108 degrees
Note that the same conversion can be used to convert other values in radians
Can someone please help me with this question
Answer:
Eat some mc donolds then ur good
Step-by-step explanation:
Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good
5. Past experience shows that the standard deviation of the distances traveled by consumers to patronize Chinese restaurants is 2 km. How large a sample is needed to estimate the population mean distance traveled to within 0.4 km
Answer:
96
Step-by-step explanation:
Given that :
Standard deviation (s) = 2km
Error in estimation is within 0.4 km ; Error (E) = 0.4 km
Using the relation :
Sample size = ((Zα/2 * s) /E)^2
Using α = 0.05
The Zcritical at 0.05 = Z0.025 = 1.96
Sample size = ((1.96 * 2) / 0.4)^2
Sample size = (3.92 / 0.4)^2
Sample size = 9.8²
Sample size = 96.04
Required sample size = 96
True or false are all structures made by humans and why
Answer:
mostly. trees and most plants arent
what is 494 divided by 6.5
Answer:
76
Step-by-step explanation:
Answer:
494 divided by 6.5 =76
Step-by-step explanation:
.helppppppppppppppp!!!!!
answer: B
Step-by-step explanation: Its the only one that makes sense because as you see there are only four numbers to go off of, and b is the only one tht makes sense tbh
What is 9.52% expressed as a decimal?
Answer:
0.0952
Step-by-step explanation:
Percent just divide by 100
9.52 ÷ 100 = 0.0952
Answer:
0.0952
Step-by-step explanation: In order to get a decimal out of a percentage you take the decimal and put it two places to the left. Hope this helps!
PLEASE HELP QUICKK
Which slopes could be the slopes of perpendicular lines?
Question 1 options:
1/2 and 2
8 and -1/8
2 and 2
1 and -1
0 and undefined
The answer would be:
8 and -1/8
1 and -1
And could be 0 and undefined, but I'm not 100% sure
Find the value of the power 6 to the -4th
Answer:
6 to the -4th is 7.716 x 10^-4
Step-by-step explanation:
HELP!!! The probability that a male’s foot is between 10 and 12.5 inches is__
p(10
Answer:
I suggest you use Socratic, it solves questions like this.
Step-by-step explanation:
PLZ HELP IM WASTING MY POINTS FOR THIS Match each expression to its value.
1. -1 + 2
1
2. 1 + (-2)
-3
3. -1 - 2
3
4. 1 - (-2)
-1
Answer:
1. 1
2. -1
3. -3
4. 3
If you have any questions on the topic let me know. :)
Answer:
1. 1
2. -1
3. -3
4.3
Step-by-step explanation:
...
Write an equation for the n th term of the arithmetic sequence 56, 48, 40, 32, ....
Answer:
-8n+64
Step-by-step explanation:
d=1/2at^2+s, solve for a
Step-by-step explanation:
Perhaps the equation is d=1/2at2 and you are given the distance (40 m) and acceleration (9.8 m/s2) and asked to find the time. or convert the equation in terms of t and then plug in the numbers to solve.
Which point is a solution to this system of inequalities?
y 6
A) (7,-8)
B) (2,-3)
C) (5,-2)
D) (4,1)
Answer:
h
Step-by-step explanation:
Answer:
the answer is c
Step-by-step explanation:
what is 1234567654323456765432345678876543234567 times 1234567654321234567 times123456788765432345678765432345 times 4 mwahahahhahahahhahah
Answer:
I have no idea
Step-by-step explanation:
sigh
12345676543234567654323456788765 x 1234567654321234567 x 12345678876543234567876543234...
first you start with12345676543234567654323456788765 x 1234567654321234567
=
1.5241573e+49
then you multiply the rest1.5241573e+49 x 12345678876543234567876543234
=
1.8816757e+77
now times by 41.8816757e+77 x 4
=
7.5267028e+77
-------------------------------------------------------------------------------------------------
bro this was so hard , , ,
What is the value of the expression when a = 4, b = 3 , and c = 10?
3a4b−c
a 1
b 4
c 6
d 12
Answer:
3a4b-c
3(4)4(3)-10
12(12)-10
144-10
=134
Step-by-step explanation:
Answer:
134
Step-by-step explanation:
3×4=12
4×3=12
12×12=144
144-10=134
thats what I got
hope it helps
There are 125 people on a mountain trail. If 84% of the people on the trail are on a hiking tour, how many people are on the tour
Answer:
Total people on the tour will be: 105 people
Step-by-step explanation:
Total people on a mountain trail = 125Given that 84% of the people on the trail are on a hiking tour.
We need to determine how many people are on the tour.
All we need is to multiply 84% or 0.84 by 125.i.e.
People are on the tour = 84% × 125
= 84/100 × 125
= 0.84 × 125
= 105 people
Therefore, total people on the tour will be: 105 people
Henry decorates the top of each cupcake with 3 walnuts. If he has 56 walnuts, is that enough to decorate 2 dozen cupcakes? Why?
Answer:
No he does not have enough walnuts
Step-by-step explanation:
So if one dozen cupcakes is 12 then two dozen is 24 and each one has 3 walnuts and he only has 56 walnuts then what you have to do is multiply 24 by 3 and get 72 so the answer is no he does not have enough
Answer:
No, in order to decorate 2 dozen cupcakes(24) he needs 72 walnuts. With 56 he can only decorate 18 cupcakes.
Step-by-step explanation:
Doe has 2 3/8 pounds of hamburger meat. He is making 1/4 pound hamburgers .Does doe have enough meat to make 10 hamburgers
The difference between two numbers is 8. Twice the number is 4 more than the larger number. What is the smaller number?
Answer:
If the two numbers are x and y, then:
x + y = 8
18 - 2x = 4y - 2.
When we subtract y from both sides in our first equation we get:
x = 8 - y, so:
18 - 2(8 - y) = 4y - 2
18 - 16 + 2y = 4y - 2
2 + 2y = 4y - 2
2y = 4
y = 2
Since x + y = 8, and y = 2, x = 6, and since 6 > 2, the larger number is 6.
What is the value of x?
- (12 – 8x) = 5x +15 – 7x
Enter your answer in the box.
X=
Answer:
Step-by-step explanation:
-(12-8x)=5x+15-7x
-12+8x=5x+15-7x
8x+7x-5x=15+12
10x=27
x=27/10
Answer:
x = 27/10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-(12 - 8x) = 5x + 15 - 7x
Step 2: Solve for x
Distribute negative: -12 + 8x = 5x + 15 - 7xCombine like terms: -12 + 8x = -2x + 15Add 2x on both sides: -12 + 10x = 15Isolate x term: 10x = 27Isolate x: x = 27/10