Answer:
(1, 4)
Step-by-step explanation:
subsitute y=x+3 into the 2nd equation, which you will get 7x-(x+3)=3
get rid of the (), which you will get 7x-x-3=3
combine like terms and get 6x-3=3
move 3 to the other side and divide both sides by 6 and get x=1
use the first equation y=x+3 and subsitude 1 for x and get y=1+3
y=4
A species of animal is discovered on an island. Suppose that the population size P(t) of the species can be modeled by the following function, where time t is measured in years.
P(t) =800/1+ 3e^-0.29t.
Find the initial population size of the species and the population size after 10 years. Round your answers to the nearest whole number as necessary.
Answer:
The initial population is 200
The population after 10 years is 687
Step-by-step explanation:
Given
[tex]P(t) =\frac{800}{1+ 3e^{-0.29t.}}[/tex]
Solving (a): The initial population
Here:
[tex]t = 0[/tex]
Substitute 0 for t in P(t)
[tex]P(0) =\frac{800}{1+ 3e^{-0.29*0}}[/tex]
[tex]P(0) =\frac{800}{1+ 3e^{0}}[/tex]
[tex]P(0) =\frac{800}{1+ 3*1}[/tex]
[tex]P(0) =\frac{800}{1+ 3}[/tex]
[tex]P(0) =\frac{800}{4}[/tex]
[tex]P(0) =200[/tex]
The initial population is 200
Solving (b): Population after 10 years.
Here
[tex]t = 10[/tex]
Substitute 10 for t in P(t)
[tex]P(10) =\frac{800}{1+ 3e^{-0.29*10}}[/tex]
[tex]P(10) =\frac{800}{1+ 3e^{-2.9}}[/tex]
[tex]P(10) =\frac{800}{1+ 3*0.055}[/tex]
[tex]P(10) =\frac{800}{1+ 0.165}[/tex]
[tex]P(10) =\frac{800}{1.165}[/tex]
[tex]P(10) =687[/tex] -- approximated.
The population after 10 years is 687
Help please please ugufidhdjdift
In exponential growth functions, the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1? How would the function change if the base of the exponent were between 0 and 1?
Sample Response: If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.
What did you include in your response? Check all that apply.
If the base were 1, the function would be constant.
If the base were 1, the graph would be a horizontal line.
If the base were between 0 and 1, the function would be decreasing.
Answer:
How would the function change if the base of the exponent were between 0 and 1? If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.
Step-by-step explanation:
4 2/3 divided by 1/2 in fraction form
Answer:
9 1/3
Step-by-step explanation:
4 2/3 = 14/3
14/3/1/2
14/3 x 2/1
28/3= 9 1/3
Help plz:)))I’ll mark u Brainliest
Answer:
The answer to the question provided is
[tex] \frac{9}{5} [/tex]
A farm has 5 brown cows and 10 white cows. A fence is open and a cow escapes. What is the probability that it will be a brown cow?
Answer:
D
Step-by-step explanation:
Can someone please explain how to do number 9.
Answer:
x<15, probably
Step-by-step explanation:
maybe multiply 2 to each side to eliminate the fraction. so 3x+15<60. subtract 15 to isolate the variable term so 3x<45. divide by 3 to isolate x so x<15. check the work. is the inequality true for all values of x less than 15? let's try the first possible integer value, 14, to be sure. 3(14)+15= 57. so 57/2<30. now 57/2 is 28.5 and 28.5<30 so it seems right
What is the slope of the line that passes through the points (4, 7) and (5,8)?
Write your answer in simplest form.
Answer:
1
Step-by-step explanation:
Use the coordinates of the points to determine the slope
slope = Δy/Δx = (8-7)/(5-4) = 1
look at angle uvy and angle yvw in the image below which the following is the best description for this pair of angles
The best bike in a bike shop
sells for $400. The cheapest
bike sells for $50. The best
bike's price is what percent of
the price of the cheapest
bike?
Answer:
12.5%
Step-by-step explanation:
So just make an equation
400x=50
50/400=1/8=.125
.125=12.5
12.5%
Gabriel saves 40% of his monthly paycheck for college. He earned $270 last month. How much money did Gabriel save for college?
A $108
B $96
C $162
D $180
ASAP PLEASEEE
Answer:
A $108
Step-by-step explanation:
40% = .4
.4 * 270 = 108
Mylo started making this graph to relate the number of hours he works with the amount of money he is paid. A point representing which information could be added to the graph to show a proportional relationship? A. $16 for working 2 hours B. $36 for working 4 hours C. $40 for working 5 hours D. $58 for working 6 hours\
Answer:
I can confirm that the awnser is B
Step-by-step explanation:
I got a 100%
Answer:
B
Step-by-step explanation:
the other person said it was B
The temperature was -12 degrees
Celsius and rose to 2 degrees Celsius.
What was the change in temperature?
Hurry
Answer:
+14 degrees Celsius
Step-by-step explanation:
you have to find the difference from -12 to 2 degree Celsius
Plz help. I rally need it
Answer:
8
Step-by-step explanation:
What is 0.672 in a  percent pls help
Answer:
67.2% or if your rounding to a whole number it’s 67%
Step-by-step explanation:
Move the dot (decimal) over 2 digits to the right —>
Solve for x
5x + 2 = 17
Answer:
r
Step-by-step explanation:
r
Answer:
Step-by-step explanation:
Here you go mate
Step 1
5x+2=17 Equation/Question
Step 2
5x+2=17 Simplify
5x+2=17
Step 3
5x+2=17 Subtract 2
5x=15
Step 4
5x=15 Divide
answer
x=3
Hope this helps
Determine the smallest integer value of x in the solution of the following inequality.
-x-2≤5
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-x-2≤5 Equation/Question
Step 2
-x-2≤5 Simplify
-x≤7
Step 3
-x≤7 Divide
answer
x≥-7
A bacon cheeseburger at a popular fast food restaurant contains 2,070mg of sodium, which is 86% of the recommended daily amount. What is the total recommended daily amount of sodium?
Answer:
2,407mg of sodium is the recommended daily amount
Step-by-step explanation:
Using the cross multiplication you will get the answer.
1. make the problem as a fraction [tex]\frac{2070}{x} =\frac{86}{100}[/tex]
2. Cross multiply (2070*100=86*x)
3. Simplify the equation left. 207000 = 86x
2407 ≈ x (Divide both sides by 86)
y = |cosx|
any body can answer my question
Miya is selling grapefruit and nuts for a fundraiser. The grapefruits cost 5 dollars each and a bag of nuts cost 15 dollars each. She sells 30 items and made 250 dollars. How many grapefruits did she sell?
Answer:
A) 5G + 15N = 250
B) G + N = 30 We'll multiply B) by -5
B) -5G -5N = -150 then we add A)
A) 5G + 15N = 250
10N = 100
N = 10 bags of nuts ($150.00)
We put N=10 into A)
A) 5G + 150 = 250
A) 5G = 100
G = 20 Grapefruits ($100.00)
Step-by-step explanation:
ok so this is fraction what is 5/6 x 3/4
Answer:
5/8
Step-by-step explanation:
Graph and find the area of the figure with the vertices (-3, 0), (1,4), (2, 0)
Answer:
10
Step-by-step explanation:
Which statement describes why AABC and ADEF are congruent by SAS?
Answer:It is The first one.
Step-by-step explanation:
A principal of $2600 is invested at 3% Interest, compounded annually. How much will the investment be worth after 14 years
Answer:
3692
Step-by-step explanation:
Multiply the starting amount, by the percent, and them multiply by how many years (2600*0.03%*14)
Find the distance from the point (0, 3) to the line y = 3x – 9. Round your answer to the nearest tenth.
The distance is about
units.
Answer:
4
Step-by-step explanation:
This is a vague question so I understand why you reached out for help. Please not that my answer is not correct in case the problem is subliminally asking for the shortest distance, but there is no indication of that on the question prompt.
The graph is not drawn to scale.
The distance between the line and the point is 4 units.
What is Distance formula?The formula to find the distance between the two points is usually given by d=√((c-a)² + (d-b)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.
Given: line: y= 3x-9
put y= 3
3 = 3x-9
12 = 3x
x= 4
and, the other point is (0, 3).
Now, the distance between theses points
D= √(4-0)² + (3 -)²
D= √4²
D= √16
D= 4 units
Hence, the distance is 4 units.
Learn more about Distance formula here:
https://brainly.com/question/1872885
#SPJ2
1. How could you find the actual number of sticky notes it will take to cover the cabinet, excluding the bottom? What information would you need to know?
Hey there!
You would probably need to know the dimensions and surface area of the cabinet, and the dimensions and area of the sticky notes.
Hope it helps and have an amazing day!
Will mark brainliest!!!solve for each variable
one of sam's best customer spend 250.00 each month in sam's shop. She say that is roughly 5% of her monthly income. How much does she make each month.
Answer:
5,000
Step-by-step explanation:
x× 5 %=250
x=250×100÷5=5000
9x+ 5 = 14x — 4
I need help with this I have to solve for x
Answer:
here u go
Step-by-step explanation:
its 9/5 or 1.8. Also 1 to 4/5
HELP PLEASE...........
Answer:
1. 9
2. 12
3. 26
Step-by-step explanation:
Answer:
1. 9
2. 12
3. 26
Step-by-step explanation:
An easy way to solve problems like this is to convert the percentage into a decimal, then multiply that decimal by the whole. For example, if I had the question "What is 10% of 100?", I would first convert the 10% to a decimal. 10% is the same as 10/100, which in decimal form is 0.1. I would then multiply 0.1 by 100 to find out how much 10% of 100 is. I get 10, so my answer is 10. Hope this helps!
