Answer: Yes, this is a function, and the function is:
population = y = f(d) = 5*(2)^d
Step-by-step explanation:
If the population doubles each day, we will have an exponential growth, that can be written as
f(d) = A*(r)^d
Where:
A is the initial population. (in this case 5)
r is the rate of growth.
d is our variable, in this case the number of days
then:
f(d) = 5*(r)^d
such that:
f(0) = 5*(r)^0 = 5
after one day, we should have the double of 5, this is 10:
f(1) = 10 = 5*(r)^1 = 5*r
10 = 5*r
10/5 = r
2 = r
Then the equation that tells the population of bacteria is:
y = f(d) = 5*(2)^d (at least for the first four days, we do not know what happens after that)
Is the population of bacteria a function of the number of days?
Yes, this is a function because for each input d, we have only one output y.
1. Select the equations where y = 3 is the
solution. Circle all that apply.
A. y - 2=5
B. x = 0
c. = 1.5
D. y + 5 = 8
E. 15 - y = 12
F. 5y = 18
Pleaseee help
I will mark brainliest if you explain the answer
Answer:
it is -2/3 because you move the point to the left twice and down three times.
Wile E. Coyote is pursuing the Road Runner across Great Britain toward Scotland. The Road Runner chooses his route randomly, such that there is a probability of 0.8 that he'll take the high road and 0.2 that he'll take the low road. If he takes the high road, the probability that Wile E. Catches him is 0.01. If he takes the low road, the probability he gets caught is 0.05.
Answer:
0.444
Step-by-step explanation:
The objective is to draw the tree diagram and find the probability that the roadrunner took the high road, given that he was caught.
The tree diagram is attached in the image below:
The required probability can be computed as:
[tex]P(high\ road \ | \ caught) = \dfrac{P(high \ road \ and \ caught)} {P(caught)} \\ \\ P(high \ road \ | \ caught) = \dfrac{P(high \ road \ and \ caught)}{P(high \ road \ and \ caught)+P(low \ road \ and \ caught)}[/tex]
[tex]P(high \ road \ | \ caught) =\dfrac{ 0.8*0.01 }{ 0.80*0.01 + 0.20*0.05} \\ \\ P(high \ road \ | \ caught) = \dfrac{0.008 }{ 0.008 + 0.01} \\ \\[/tex]
[tex]P(high \ road \ | \ caught) = \dfrac{0.008 }{ 0.018}[/tex]
[tex]\mathbf{P(high \ road \ | \ caught) = 0.444}[/tex]
The probability that he took the high road, given that he was caught is 0.444 and this can be determined by using the properties of probability.
Given :
The Road Runner chooses his route randomly, such that there is a probability of 0.8 that he'll take the high road and 0.2 that he'll take the low road. If he takes the high road, the probability that Wile E. Catches him is 0.01.If he takes the low road, the probability he gets caught is 0.05.The required probability is given by:
[tex]\rm P = \dfrac{P(High\;road\;and\;caught)}{P(Caught)}[/tex]
[tex]\rm P = \dfrac{P(High\;road\;and\;caught)}{P(High \;road \;and \;caught)+P(Low\; road\; and \;caught)}[/tex]
[tex]\rm P=\dfrac{0.8\times 0.01}{0.8\times 0.01 + 0.2\times 0.05}[/tex]
[tex]\rm P=\dfrac{0.008}{0.018}[/tex]
P = 0.444
The probability that he took the high road, given that he was caught is 0.444.
For more information, refer to the link given below:
https://brainly.com/question/23044118
pls help due soon !!!!!!!!!!!!!!!!!!!!!!!!!
Solve for x, 3-5x=18
Answer:
X = 3
Step-by-step explanation:
18 - 3 = 15
5x = 15
divide both sides by 5
X = 3
Answer:
[tex]3 - 5x = 18 \\ - 5x = 18 - 3 \\ - 5x = 15 \\ x = \frac{15}{ - 5} \\ \boxed{x = - 3}✓[/tex]
x=-3 is the right answer.I’ve tried the other answers in this app but non of it workssss helpppp
Answer and Step-by-step explanation:
The lines are parallel, so that means that some angles are congruent to each other.
On the other side of 80 degrees, it would be 100 degrees (180 - 80 = 100).
Using the interior angles theorem, this means that the angle in the triangle and 50 added up are equal to 100. So, the angle C is equal to 50.
Now, because of the triangle angles sum theorem, the angles have to add up to 180, so we do 180 - 80 - 50, which is 50 (for angle A).
So, since the two angles have 50 degrees, the triangle is an isosceles triangle.
Hope this helps! (That is the explanation btw)
#teamtrees #WAP (Water And Plant)
Step 1:draw a triangle
Step 2:label the triangle using the given information .
Step 3: create and solve an equation to find the missing or angle.
At a point 30 feet from the base of a tree, the angle formed with the ground looking to
the top measures 53. Find, to the nearest foot, the height of the tree.
Can someone help me?
Answer:
40 feet to the nearest foot.
Step-by-step explanation:
The tree , the distance from the base of the tree on the ground (30 ft) and the distance from this point to the top of the tree form a right triangle.
So if the height of the tree is h:
tan 53 = h / 30
h = 30 tan53
h = 39.81 feet.
Complete the inequality statement.
8 5/12___ 8 3/8
>
<
=
Six times a number minus 12. The result is Seventy two. What is the number?
Answer:
20 is the answer
Step-by-step explanation:
From the question we can deduce the formula to be 16 + 3n = 76
3n - 76 - 16
3n = 60
n = 20
20 is the answer.
Answer:
6x14-12=72
Step-by-step explanation:
6x14=84
84-12=72
14. Write the equation of a horizontal line that passes through the point (-2, 2).
y=2
x=-2
x=2
y=-2
Answer:
y=2
Step-by-step explanation:
horizontal lines are y= the y intercept
if you want the line to go through the point (-2,2) it would be y=2 because points are written as (x,y)
the line y=2 would cross through the y access at 2 and also cross through every other point that is (x,2)
State which ordered pair could be added to the table of values to keep it a function.-
PLS HELP, I'LL MARK BRAINLEST AND GIVE 90 POINTS D:
Answer:
5
65
Step-by-step explanation:
+1
+10
what are the domain and range?
Answer
Domain= {-6, -4, 3, 6}
Range= {2, 4, 6}
Can you please help me
15(3x - 4y)
Use Distributive property
Answer:
45x - 60y
Step-by-step explanation:
15 × 3x = 45x
15 × 4y = 60y
put them together
45x - 60y
20 points! I will mark brainliest
Answer:
the shortest distance is the distance from a point to a line that make 90° .
so AC is the shortest distance.
step by step explanationthen we have the find the distance between point A and C.to find that we use the distance formula .d^2=(-3-1)^2 + (-3--1)^2
=(-4)^2 + (-2)^2
=16 + 4
=20
d=√20
this is the distance between point A and point C.
An exercise machine with an original selling price of 1,275 is marked down by 20% . What is the sale price of the exercise machine?
Answer:
1020
Step-by-step explanation:
x + 6 = −x − 6
(so i can ask)kjhgfdccfghjk
Answer:
x = -6
Step-by-step explanation:
Equations
Solve the equation:
x + 6 = -x - 6
We must find the value of x that makes the identity above true.
Let's join all the variables on the left side and the numbers on the right side.
Adding x:
x + 6 + x = -x - 6 + x
The variables cancel out on the right side:
2x + 6 = -6
Subtracting 6:
2x + 6 - 6 = -6 -6
The 6 and -6 are canceled out:
2x = -12
Dividing by 2:
x = -12/2
x = -6
a cube is dilated by a scale factor of 3/4 to create a new cube. what is the surface area of the new cube.
Answer:
9/16
Step-by-step explanation:
i took the test ;)
The surface area of the new cube is (27/8) times the surface area of the original cube
What is the surface area of cube?The formula for surface area of a cube is equal to six times of square of length of the sides of cube. It is represented by 6a2, where a is the side length of cube.It is basically the total surface area.
Surface area S = 6a² ,
where a is the side of the cube
Given data ,
Let the original cube have side length 's'.
The surface area of the original cube is given by 6s^2, since a cube has 6 equal square faces.
When the cube is dilated by a scale factor of 3/4, each side length of the new cube is 3/4 times the length of the corresponding side of the original cube. Therefore, the side length of the new cube is:
s' = (3/4) s
The surface area of the new cube is also given by 6 times the area of one of its faces, which is:
(3/4)s x (3/4)s = (9/16)s²
Therefore, the surface area of the new cube is 6 times (9/16)s^2, or:
6 x (9/16)s² = (27/8)s²
Hence , the surface area of the new cube is (27/8) times the surface area of the original cube
To learn more about surface area of cube click :
https://brainly.com/question/12079637
#SPJ3
A car moving at a constant speed passed a timing device at t=0. After 7 seconds, the car has traveled 567 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.
Answer:
The required equation is:
d = 81tf(t) = 81tStep-by-step explanation:
We know that
distance = rate × t
Given that a car moving at a constant speed passed a timing device at t=0.
In other words, at t = 0 second, d = 0 ft.
After 7 seconds, the car has traveled 567 ft.
In other words, at t = 7 seconds, d = 567 ft
Thus, there are two points
(0, 0)
(7, 567)
Finding the slope between (0, 0) and (7, 567)
Using the formula
Slope = Rate of change = [y₂-y₁] / [x₂-x₁]
= [567 - 0] / [7-0]
= 567 / 7
= 81 ft/second
Given that the car is moving at constant speed. So, we dont't have any other factor or term to consider
Thus, the required equation is:
distance = rate × t
d = 81 × t
d = 81t
or
f(t) = 81t
VERIFICATION
Given the equation
d = 81 × t
Put t = 0 to find the disatance in 1 sec
d = 81 × (0) = 0 ft
Put t = 7 to find the distance in 7 seconds
d = 81 × (7) = 567 ft
Need help with these 2 questions pls help me will mark brainiest
Answer: Which questions?
Answer:
The two questions are not available for the question.
Step-by-step explanation:
Joe's Car Shop received a shipment of 40 cars. The cars each weighed the same amount. The total shipment weighed 55 tons. What
was the weight of each car in tons?
If anyone knows the answer please say the answer I need it by today.
Answer: Each car would be 1.25
Step-by-step explanation: I found this answer by dividing 50 by 44 since the thing all together weighed 5 and there were 44 cars and to check my thing i did 1.25 times 44 and i got 50 and if you add 1.25 44 timed you get 50!
2(13+x) less than or equal to 16
Answer:
Step-by-step explanation:
here you go mate
step 1
2(13+x)≤ 16
step 2
2(13+x)≤ 16 simplify
2x≤-10
step 3
[tex]\frac{2x}{2}\leq \frac{-10}{2}[/tex] Divide both sides by (2)
answer
x≤-5
mind if i get brainliest?
PLEASE SOMEONE HELP A LOT OF POINTS!!
Answer:
-5 or -3
Step-by-step explanation:
correct me if im wrong
PLEASE GIVE ME BRAINLEST I WORK HARD
Answer:
-3
Plzzzzz give me Brainliest!!!!!
Solve the system of equations.
x+6y=-7
2x+12y=-14
x=
y=
Answer:
Solve the system of equations.
x+6y=-7
2x+12y=-14
x=1
y=12
Step-by-step explanation:
Answer:
∞ amount of solutions
plz helpppppppppppppppppppppppppppppppppppp i will give brainliest
Answer:
You cannot see the question?
Step-by-step explanation:
Find the product.
2x(x +1)
Answer:
[tex]2x^2 + 2x[/tex]
Step-by-step explanation:
Multiply into the parentheses.
Simplify:
[tex]x(2x + 2)[/tex]
what is the approximate distance between points A and B. giving brainlyest.
Answer:
7.62
Step-by-step explanation:
We can use the distance formula
d = sqrt( (x2-x1)^2 + ( y2- y1) ^2 )
d = sqrt( (1 - -2)^2 + ( 4 - -3) ^2 )
d = sqrt( (1 +2)^2 + ( 4 +3) ^2 )
d = sqrt( (3)^2 + ( 7) ^2 )
d = sqrt( 9+49)
d = sqrt( 58)
7.615773106 or approximately 7.62
Answer:
7.62
Step-by-step explanation:
Ultimately, you want to create the two imaginary lines to form a triangle and to find the hypotenuse which is the distance between point A and point B. From point B to the center of point A but not at it is 7 units and from there to point A, it is 3 units. 7^2 and 3^2 make up 49 and 9 which equals to 58. Finally, square root that number and you will get 7.62 as your distance.
3
Tanner purchased a new car for $10,000. The car's value is depreciating (Decreasing) by 5% each year. If this is an exponential situation, write an equation
for this situation, then determine the new value of the car after 3 years. Round your answer to two decimal places
Answer:
$8573.75
Step-by-step explanation:
The value of the car as a function of the number of years (t) is
V = $10,000(1.00-0.05)^t
which, after 3 years, comes to V = $10,000(1.00-0.05)^3 = $8573.75
what is the y-intercept of the function f(x)=-2/9x + 1/3 ?
Answer:
Approximately 0.333
Step-by-step explanation:
If we graph this we see that the line goes over the y-axis at (0,0.333)
*I use desmos graphing calculator*
Answer:
1/3 is the y-intercept of the function f(x)=-2/9x + 1/3.
Step-by-step explanation:
[tex]f(x) = mx + c \\ f(x) = - \frac{2}{9} x + \frac{1}{3}\\where,\:c\: is\: the\: intercept. [/tex]
What is b x (5x 10) x to y
b^5 x b^10 = b^5+10
b^15
b^15 to y
