Answer:
The answer should be y=2x+5
The number of bacteria in a culture is increasing according to the law of exponential growth. The initial population is 240 bacteria, and the population after 12 hours is double the population after 1 hour. How many bacteria will there be after 3 hours
Answer:
240
Step-by-step explanation:
According to law of exponential growth,
[tex]y=y_0e^{kt}[/tex]
Here, [tex]y_0[/tex] denotes the initial amount and k is the rate constant of the equation.
Now, the initial population is 240 bacteria.
Put [tex]y_0=240[/tex]
So,
[tex]y=240e^{kt}[/tex]
The population after 12 hours is double the population after 1 hour.
[tex]y(12)=2y(1)[/tex]
[tex]240e^{12k}=240e^{k} \\e^{12k}=e^{k} \\e^{12k-k}=1\\e^{11k}=1\\11k=log 1=0\\k=0[/tex]
(Formulae used: [tex]\frac{e^x}{e^y}=e^{x-y}\,,\,log 1=0[/tex])
So,
[tex]y=240e^{0}=240\\y=240[/tex]
Therefore,
Number of bacteria after 3 hours = 240
What is the coefficient of 4x^2 ?
solve for x and y
x +2y= -6
-5x+4y=2
Answer:
y=1/2+5x/4
x=−6−2y
Step-by-step explanation:
i hope this helped :)
What's the range in the question below. Please answer one of the answer choices.
Answer:
yo I'm doing the same thing
Use the variable, n, to write an expression for seven less than a number.
Answer:
n-7 would be the equation
Answer:
n - 7
Step-by-step explanation:
n - 7
Enter the ordered pair for the vertices for Rx-axis(QRST).
The graph with X-coordinate marks -4, -2, 0, 2, 4 and Y-coordinate marks -4, -2, -1, 0, 2, 4, 6. There is a polygon QRST with coordinates T at (-2, 3), Q at (1, 5), R at (3, -1) and S at (0, 0).
Given:
The vertices of a polygon QRST are T(-2, 3), Q(1, 5), R(3, -1) and S(0, 0).
To find:
The vertices for [tex]R_{x-axis}(QRST)[/tex].
Solution:
The rule [tex]R_{x-axis}(QRST)[/tex] represents refection of polygon QRST across the x-axis.
If a figure is reflected across the x-axis, then
[tex](x,y)\to (x,-y)[/tex]
Using this rule, we get
[tex]T(-2,3)\to T'(-2,-3)[/tex]
[tex]Q(1,5)\to Q'(1,-5)[/tex]
[tex]R(3,-1)\to R'(3,1)[/tex]
[tex]S(0,0)\to S'(0,0)[/tex]
Therefore, the vertices for [tex]R_{x-axis}(QRST)[/tex] are T'(-2, -3), Q'(1, -5), R'(3, 1) and S'(0, 0).
Rx-axis means that the polygon QRST is reflected across the x-axis.
The ordered pair after Rx-axis is Q'(1,5), R'(3,1), S'(0,0) and T'(2,3)
The points are given as:
[tex]\mathbf{Q = (1,5)}[/tex]
[tex]\mathbf{R = (3,-1)}[/tex]
[tex]\mathbf{S = (0,0)}[/tex]
[tex]\mathbf{T = (-2,3)}[/tex]
The rule of reflection across the x-axis is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{Q' = (1,-5)}[/tex]
[tex]\mathbf{R' = (3,1)}[/tex]
[tex]\mathbf{S' = (0,0)}[/tex]
[tex]\mathbf{T' = (-2,-3)}[/tex]
Hence, the ordered pair after Rx-axis is Q'(1,5), R'(3,1), S'(0,0) and T'(2,3)
Read more about reflections at:
https://brainly.com/question/938117
The rabbit population in a forest area grows at the rate of 9% monthly. If there are 242 rabbits in September, find how many rabbits (rounded to the nearest whole number) should be expected next September. Use
y
=
242
(
2.7
)
0.09
t
y
=
242
(
2.7
)
0.09
t
Answer:
503 should be the answer
Step-by-step explanation:
Answer:
i think its 503
Step-by-step explanation:
242 multiplied by 0.09 = 21.78
21.78 multiplied by 12 = 261.36
added by 242 = 503.36
BIG POINT
Describe the significance of the unit circle to Trigonometry. Make connections to solving, graphing, identities, and other key concepts included in this course. Provide at minimum of 4 connections with an explanation of the connections.
Write in paragraph please.
Answer: (compiled from google)
One radian is the measure of the central angle of a circle such that the length of the arc is equal to the radius of the circle.
A full revolution of a circle ( 360 ∘ ) equals 2 π r a di a n s. This means that 1 radian = 180 ∘ π .
The formula used to convert between radians and degrees is angle in degrees = angle in radians ⋅ 180∘ π .
The radian measure of an angle is the ratio of the length of the arc to the radius of the circle ( θ = sr ) . In other words, if s is the length of an arc of a circle, and r is the radius of the circle, then the central angle containing that arc measures radians.
Key Terms
arc: A continuous part of the circumference of a circle.
circumference: The length of a line that bounds a circle.
radian: The standard unit used to measure angles in mathematics. The measure of a central angle of a circle that intercepts an arc equal in length to the radius of that circle.
The x – and y -coordinates at a point on the unit circle given by an angle
t are defined by the functions x = cos t and y = sin t .
Although the tangent function is not indicated by the unit circle, we can apply the formula
tan t = sin t cos t to find the tangent of any angle identified.
Using the unit circle, we are able to apply trigonometric functions to any angle, including those greater than 90 ∘ .
The unit circle demonstrates the periodicity of trigonometric functions by showing that they result in a repeated set of values at regular intervals.
Key Terms
periodicity: The quality of a function with a repeated set of values at regular intervals.
unit circle: A circle centered at the origin with radius 1.
quadrants: The four quarters of a coordinate plane, formed by the x – and y -axes.
If this doesn't help I appologize
Find the volume of the sphere. Sorry the pic isn’t the best! I tried lol!
Answer:
4,186.6 repeated (just round to .7 if it asks for it)
Step-by-step explanation:
The volume of a sphere is 4/3 pi r^3
plug in the radius and simplify that expression
PLEASE IM BEGGING YOU please answer i’ll do anything i need in 10 minutes please
Answer:
1. 2.
-3, 4 -3, 2
-1, 2 0, 1
0, 1 3, 0
4, -3 6, -1
Step-by-step explanation:
Please help me ! Today 11/6/2020 :(
Zoey wants to use her iPad throughout a 6-hour flight. Upon takeoff, she uses the iPad for 2 hours and notices that the battery dropped by 25%, from 100% to 75%. How many total hours can Zoey expect from the iPad on a full battery charge?
Answer:
6 hours more
Step-by-step explanation
When Zoey started the flight the battery was 100%, then it dropped to 75% in 2 hours. So each 25% will last 2 hours and there is 75% remaining which if you divide by 3 it will give 1. And each 25% will last 6 more hours until the battery dies.
Which step will get you closest to the solution of this equation?
5.2 – 2)=7
(Imagine math)
Answer:
I'm pretty sure it's the to right one
Step-by-step explanation:
Solve one fourth plus ten sixteenths
Answer:
The answer is 0.875
Answer:
13
Step-by-step explanation:
You are in charge of food shopping for a party. You need to buy snacks and soda. A bag of snacks costs $2 and a pack of soda $3.5. If your mom gives you $25 to buy groceries and you buy 8 bags of snacks, how many packs of soda can you buy?
Answer:
2 bags
Step-by-step explanation:
Answer: 2
Step-by-step explanation:
2x8=16
25-16=9
3.5+3.5=7
hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp
Answer:
B is the answer
Step-by-step explanation:
Rochelle received a $15 gift card to an online music store. She downloaded 12 songs that each cost the same price. After the gift card was applied, her total was $8.88. Which equation can be used to find , the price of each song?
Answer:
15 + 18.88 ÷ 12 = p
if p were price of each song
p= 1.99
Example of a balance point
a home's loss of heat is equal to heat created in the home or when both sides of a seesaw are at an equal level.
Find the value of x. Then find the measure of each labeled angle.
Answer:
1. 70
2. 30
Step-by-step explanation:
ok, so we first know that x+(x-40)+90+90=360, so if we simplfy, we will get x+x+40=180, and 2x=140, so x is 70. 70-40 is 30.
James determined that these two expressions were equivalent expressions using the values of x - 4 and x - .6
Which statements are true? Check all that apply.
7x+4 and 3x+5+4x-1
When x = 2, both expressions have a value of 18.
The expressions are only equivalent for x = 4 and x = 6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if x = 8.
Answer:2 4 and 5
Step-by-step explanation:
PLEASE HELP ME ASAP
Answer:
The answer is Option D
Step-by-step explanation:
Supplementary angles are angles that sum up to 180 °
Bus X travels 224 miles in 4 hours. Write the equation of the line that describes the relationship between distance y and time x.
Answer:
The answer is 56
Step-by-step explanation:
The equation is Y=56x+4 I think
The equation of the line that describes the relationship between distance y and time x from the given graph is y=56x.
Given that, bus X travels 224 miles in 4 hours.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The coordinate points of a line from the given graph are (4, 224) and (1, 56).
Here, slope (m) = (56-224)/(1-4)
= -168/(-3)
= 168/3
= 56
Put m=56 and (x, y)=(4, 224) in y=mx+c, we get
224=56(4)+c
⇒ c=0
Substitute m=56 and c=0 in y=mx+c, we get
y=56x+0
⇒ y=56x
Therefore, the equation of the line that describes the relationship between distance y and time x from the given graph is y=56x.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ2
4n + 1= 25 how do I solve this and show my work?
Answer:
n=6
Step-by-step explanation:
4n + 1= 25
Move constant to the right
4n=25-1
Calculate
4n=25-1
Then divide on both sides
Answer:
Today: Friday, 06 November 2020
Hour: 09.44 WIB (Indonesia)
_______________________________
4n + 1 = 25
4n = 25 - 1
4n = 24
n = 24/4
n = 6
kala is saving money to buy a bike that cost $125. She has $60 and will save an additional $5 each week. In how many weeks will she have enough money to buy the bike?
What is the sum of F(X) and G(x) if F(x) = 8x ^ 3 + 7x ^ 2 - 11x + 20 and G(x) = - 5x ^ 3 - 4x ^ 2 - 17
Answer:
[tex]3x^{3}+3x^{2}-11x+3[/tex]
Step-by-step explanation:
f(x) + g(x) = [tex]8x^{3}+7x^{2}-11x+20-5x^{3}-4x^{2}-17[/tex]
To make this equation a little less long, we combine like terms
[tex](8-5)x^{3}+(7-4)x^{2}-11x+(20-17)[/tex]
or just
[tex]3x^{3}+3x^{2}-11x+3[/tex]
Help me please pleasessssss
ill give brainliest please help.
Answer:
A = 5
Step-by-step explanation:
I need a girl and yes I understand I’m on the wrong website please don’t report smh
Answer:
lol, what for?
Step-by-step explanation:
Answer:
So the answer would be B.
Step-by-step explanation:
This is not the right site like you said also no one knows your age or what you look like so good luck buddy.
Help!!I will give BRAINLIEST
Answer:
3.125
Step-by-step explanation:
Hope this helps!! :)
Answer:
3.05
Step-by-step explanation:
how do i work this out.
write 600 as the product of prime factors. Give your answer in index form
