Answer:
3^6
3^4
Step-by-step explanation:
3.3.3.3.3.3=3^6
3.3.3.3.= 3^4
Question
Under ideal conditions, the population of a certain species doubles every nine years. If the population starts
with 100 individuals, which of the following expressions would give the population of the species t years after
the start, assuming that the population is living under ideal conditions?
Answer: 100 x 2^ t/9
Step-by-step explanation:
The initial population of 100 that doubles in 9 years, gives the
expression for population as; [tex]\underline{ P = 100 \cdot e^{0.077 \cdot t}}[/tex].
How can the expression for the population be found?Given parameters are;
The time it takes the population to double = 9 years
The initial population count = 100
Required:
The expression that gives the population after t years.
Solution:
The population as a function of time can be expressed as an
exponential function as follows;
[tex]P = \mathbf{P_0 \cdot e^{c \cdot t}}[/tex]
At the start, t = 0, P = 100, we have;
[tex]100 = \mathbf{ P_0 \times e^{c \times 0} }= P_0[/tex]
Therefore;
P₀ = 100
After 9 years, we have;
P = 2·P₀
Therefore;
[tex]2 = \mathbf{ e^{c \times 9}}[/tex]
ln(2) = 9·c
[tex]c = \dfrac{ln(2)}{9} \approx 0.077[/tex]
The function that gives the population is therefore;
[tex]\underline{ P = 100 \cdot e^{0.077 \cdot t}}[/tex]Learn more about exponential functions here:
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the sum of 22 and a number is 41
Answer:
19
Step-by-step explanation:
sum means answer to an addition problem, so 41 - 22 = 19, so 22 + 19 = 41
At Pizza Pi, 20% of the pizzas made last week had extra cheese. If 50 pizzas had extra cheese, how many pizzas in all were made last week?
Answer:
250 pizzas
Step-by-step explanation:
We can use the formula 50 = 20/100x. We multiply both sides by 100 to get 5000 = 20x. Now, we divide both sides by 20 to get 250 = x. That means 250 pizzas were made last week.
What is the volume of the cone?
Answer:
70/3 πcm
Step-by-step explanation:
hope this helps
(0,0) (3,-2) in slope-intercept form
Answer:
y=2/3 +0
Step-by-step explanation:
See your levels
A factory uses 3/4 of a barrel of raisins in each batch of granola bars. Yesterday, the factory
used 1 1/2 barrels of raisins. How many batches of granola bars did the factory make
yesterday?
Write your answer as a fraction or as a whole or mixed number.
batches
By solving a simple quotient with the mixed numbers/fractions, we will see that they made 2 batches.
How many batches of granola bars did the factory make yesterday?We know that the factory uses 3/4 of a barrel for a batch of granola bars.
In this case, we know that yesterday they used (1 + 1/2) barrels of raisins, to see how many batches of granola bars they made, we need to take the quotient between the total amount used and the amount needed for a single batch.
N = (1 + 1/2)/(3/4)
The quotient can be written as:
N = (1 + 1/2)*(4/3) = 4/3 + 4/6 = 4/3 + 2/3 = 6/3 = 2
They made 2 batches.
Learn more about quotients:
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1/6 + 7/9 + _____ = 1
Answer:
[tex] \frac{1}{18} [/tex]
Answer:
3/54
Step-by-step explanation:
6 and 9 both go into 54
1/6=9/54
7/9=42/54
42+9=51
3/54
i need help.....plz.
hopefully u can solve the problem
but i need the answer asp
Answer:
I believe the answer would be 4 :) hope this helps
the answer is definitely 4
11. Find f(-1) for the function. f(x) = 3x - 4
Answer:
It is -7.
Step-by-step explanation:
Since x = -1, we can replace the x with -1 to get: -3 - 4 which is -7.
Answer: The answer is -7 for #11
Step-by-step explanation:f(x) = 3x - 4
f(x) = 3(-1) - 4 plug in -1 in x
-3-4 subtract both -3 and 4
-7 the answer
MULTIPLY
3/5 •3/4
A: 9/20
B:4/10
C: 4/5
D: 5/4
Answer:
a
Step-by-step explanation:
3×3=9
5×4=20
hope this helps
Answer:
9/ 20
Step-by-step explanation:
hope it helps!
.....
Kwan has determined that he can use the expression 2(n+1)−3 to find the number of squares for any step number n. Find an equivalent expression that Kwan can also use. I need help
Answer:
the answer is 2n-1
Step-by-step explanation:
Answer: 2n-1
Step-by-step explanation:
Find the slope of the line graphed below. PLEASE HELP ME
Answer:
-3/5
Step-by-step explanation:
I was always taught rise over run. count how many units up/down the next point is and how many units over.
What is the value of 76 + (4 — 3) x 60?
Using trigonometric identities, the answer should be: 77
Answer: 4,620
Step-by-step explanation:
1. 76 + (1) x 60
2. 77 x 60
3. 4,620
Noah orders an extra-large pizza. It costs $12.49 for the pizza plus $1.50 for each topping. He orders an extra-large pizza with toppings that costs a total of dollars. Select all of the equations representing the relationship between the number of toppings and the pizza's total cost with toppings.
a. 12.49 + t = d
b.12.49 + 1.50d = d
c. 12.49 + 1.50 = t
d. 12.49 = d +1.50t
e. t = [tex]\frac{d-12.49}{1.5}[/tex]
f. t = d - [tex]\frac{12.49}{1.5}[/tex]
The equation to represent the given situation is 12.49+1.50d=t. Therefore, options B and E are the correct answers.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Noah orders an extra-large pizza. It costs $12.49 for the pizza plus $1.50 for each topping.
Let t be total money and d be the number of toppings.
So, the equation is 12.49+1.50d=t
1.50d=t-12.49
d=(t-12.49)/1.50
Therefore, options B and E are the correct answers.
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The Math and Science Club sold candles for seven hours one Saturday. The bar graph shows the number of
candles sold during each hour.
Number of Candles Sold
30
25
20
No. of Candles
15
10
5
0
1
2
3
4
5
6
7
Hour
How many candles were sold during the fifth hour?
candles
Answer:
20 candles
Step-by-step explanation:
If there is 1 person who needs to talk and there are hundreds of others out there, how many will the person probably talk to?
Answer:
10
Step-by-step explanation:
Answer:
...........1 person...........
Look at the problem above and please tell me which is correct
I think it's the third 4 ( а² + 2а ) + 9
An airplane begins decreasing its altitude as it approaches the runway. At time t=1, the pilot notes that he has an altitude of 30,000 feet. One minute later, his altitude drops to 29,450 feet. One minute after that, his altitude drops to 28,900 feet. Assuming this pattern continues, write a recursive formula for the altitude of the plane A(t) after t minutes.(1 point)
A(t)=30000+550(t−1)
A(t)=A(t−1)−550 for t>1, where A(1)=30000
A(t)=A(t−1)+550 for t>1, where A(1)=30000
A(t)=30000−550(t−1)
Answer: i think A(t)=30000−550(t−1)
Step-by-step explanation:
Can someone help me please
Answer: D is located at point (-3, -4)
How was your winter break and what would are your goals of 2021? What would you have done differently in 2020? lol i don't know what to say :(.
Answer:
Just look at the explanation
Step-by-step explanation:
My winter Break was really great. I got to spend time with my family! Looking back on 2020, I see that I would have iked to ask my parents for a dog before we figured out that they were allergic to them. But other than that, I am so glad that this year is over!
What is the constant of proportionality in the equation 3y = 2x
Answer:k = 2/3
Step-by-step explanation:
When a variable y directly relates to another variable x, we can say:
y=kx
Given the equation, we can say
3y=2x
y= 2x/3
Putting the value of y from above discussion
kx = 2x/3
x is being cancelled on both sides of equation
k= 2/3
Answer:
k = 2/3
Step-by-step explanation:
i don’t know how to explain sorry I’m not good at explaining but I hope this helps
On a team 5 girls and 2 boys scored a total of 41 points. The difference between the number of points scored by the 5 girls and the number of points scored by the
2 boys is 29. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each
boy
Each girl scored points
Step-by-step explanation:
Let x be the number of points the 5 girls scored.
=> 41 - x is the number of points the 2 boys scored.
We have x + 29 = 41 - x or x - 29 = 41 - x.
=> 2x = 12 or 2x = 70
=> x = 6 or x = 35
We reject x = 6 as 6 is not a multiple of 5. (Each girl would have scored 1.2 points which is absurb)
So x = 35, each girl scored 35/5 = 7 points.
=> 41 - (35) = 6, each boy scored 6/2 = 3 points.
HELPPPPPP PLEASEEEEee 34 + 2 ⋅ 5 = ____. (Input whole numbers only.) (1 point)
Answer:
44
Step-by-step explanation:
state the slope and y-intercept for the graph of the equation y=-3x+5
Answer:
slope: -3
y-intercept: 5
Step-by-step explanation:
y=mx+b, where m=slope and b=y-intercept
Answer:
The slope is -3 and y is 5. hope that helped
Find the measure of the indicated angle to the nearest degree.
what is the slope of the line below?
give an exact number. plz help !
turn, Aklo earns 8 points. On his second turn, he loses 3 points.
The expression 8 + (-3) represents this situation.
Aklo is playing a board game. He starts with O points. On his first
a. Use a model to find 8 + (-3).
LESSON 7 / SESSION 2
Answer:
its 5
Step-by-step explanation:
what is the answer to this question
Answer:
9v + 14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
7v + 2 + 12 + 2v
Step 2: Simplify
Combine like terms (v): 9v + 2 + 12Combine like terms (Z): 9v + 14Tables
Х
у
6
4
8
12
12
24
16
30
Proportional
Not Proportional
Answer:
it's not proportional ...
please thnx my answer..
What's the domain and range of the equation d(t)=1/2t+6 do I need to simplify it or what do I need to do?
Step-by-step explanation:
dt=12t+6
Step 1: Add (-1)/2t to both sides.
dt+−12t=12t+6+−12t
dt+−12t=6
Step 2: Factor out variable t.
t(2d−12)=6
Step 3: Divide both sides by (2d-1)/2.
t(2d−12)2d−12=62d−12
t=12/2d−1
Answer:
t=12/2d−1