A group of scientists are studying a new species of insects. They observe the patterns of 6 insects. The scientists find that the insect population, x, is growing exponentiall 20% per month. Which equation can be used to find how many months, t, will it take for there to be a population of 477 insects?
Answers
Answer:
(B) [tex]477=6(1+0.20)^t[/tex]
Step-by-step explanation:
we can use formula
[tex]P(t)=P_0(1+r)^t[/tex]
where
Po is the initial population
r is the growth rate
t is the time in months
We are given
initial population of insects
so, Po=6
The scientists find that the insect population, x, is growing exponentially 20% per month
so, r=0.20
now, we can plug these values
[tex]P(t)=6(1+0.20)^t[/tex]
there to be a population of 477 insects
so, P(t)=477
now, we plug it
and we get
[tex]477=6(1+0.20)^t[/tex]
Related Questions
A triangle with side lengths of 11, 13, and 15 is a scalene triangle. True False
Answers
Answer:
True
Hope it helps!!
Hopes this helps
How many real solutions does this equation have? h² = 37
A) 1 real solution
B) No real solution
C) Infinite number of real solutions
D) 2 real solutions
Answers
Answer:
The correct answer is D.
jacie can swim 3/4 of a mile in 3/8 of an hour.how far can she swim in one hour?
Answers
Answer:
2 miles
Step-by-step explanation:
We can use ratios to solve this problem
3/4 miles x miles
--------------- = ---------------
3/8 hours 1 hours
Using cross products
3/4 * 1 = 3/8 * x
Multiply by 8/3 to isolate x
3/4 * 8/3 = 3/8*8/3 *x
8/4 = x
2 =x
Explain how you know that 0.38 is a rational number?
Answers
Answer:
0.38 is a rational number because it can be expressed as fraction, and it isn't a repeating decimal.
Step-by-step explanation:
Repeating decimals aren't rational, and all rational numbers can be expressed as a fraction, or they aren't rational.
It's a rational number because it stops, the decimal is irrational if it continues forever without a pattern
The cost of a ticket to a concert with 3% sales tax cab be represented by the expression t + 0.03t simply the expression then determine the total cost after the sales tax of the original price is $72
Answers
The equation s(sale after tax) = t + 0.03t, is for the ticket after tax, represented as s.
Now apply the equation to find the cost for the ticket after tax :
[tex]s= 72 + (0.03)(72) = 74.16 \: dollars[/tex]
So the final answer is $74.16
I hope this helps.
A wood stove burns 4 logs in 2 hours how many logs burn in 9 hours ?
Answers
Answer:
18 logs.
Step-by-step explanation:
Since a stove burns 4 logs per 2 hours, then the stove will burn 2 logs in one hour. There fore in 9 hours the stove will burn 2*9 which is 18 logs.
4:2= 2 logs per hour
2*9=18 logs per 9 hours.
Answer:
16
Step-by-step explanation:
16 Because 2 divided by 8 equals 4 then 4x4 equal 16
According to the Doppler effect, if a car with a blowing horn is moving toward you, the pitch you hear will
Answers
Answer:
If a car with a blowing horn is moving toward you, the pitch sounds higher than the actual emitted frequency.
Step-by-step explanation:
In figure,
V= speed of wave
U= speed of car
When car moving towards you, then
Car travels a distance in time T = VT
Wave travels a distance in time T = UT
From figure,
change in wavelength (λ') = VT - UT= T(V-U)
Now,
V = λ' f' (f' →frequency observed by you)
f' = V ÷ λ' = [tex]\frac{V}{T(V-U)}[/tex]
We know that
[tex]\frac{1}{T}[/tex] = f
Then,
f' = [tex]\frac{Vf}{V-U}[/tex]
f' = [tex]\frac{f}{1-\frac{U}{V} }[/tex]
Hence, we can say that
frequency increases as source moves toward you.
Answer:
B. Increase
Step-by-step explanation:
The closer together the crests, the higher the frequency (or pitch)
The ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 4 : 3. Terrence owns 36 models cars. How many model cars does Jim own?
Answers
Terrence-3
Terrence has 36
12×3=36
so let's multiply 4 by 12 also and that is 48
so, therefore jim has 48 model cars
Can y’all help me simplify to the lowest terms I’m a 5th grader so show me the steps plz
Answers
Note that
a2 + b2 = c2.
To work under a car, a mechanic drives it up steel ramps like the ones shown below. Find the length of each side of the ramp.
a = ft
b = ft
c = ft
Answers
[tex](x + 1)^{2} + {x}^{2} = (x + 2)^{2} \\ x ^{2} + 2x + {1}^{2} + {x}^{2} = {x}^{2} + 4x + {2}^{2} \\ 2 {x}^{2} + 2x + 1 = {x}^{2} + 4x + 4 \\ {x}^{2} - 2x - 3 = 0[/tex]
Solve quadratic equation:
x= 3 or x=-1 (rejected.because length cannot be negative)
50-u>48
u>?
please help too lazy
Answers
[tex]50-u>48\qquad\text{subtract 50 from both sides}\\\\-u>-2\qquad\text{change the signs}\\\\u<2[/tex]
Bob raked 5% more leaves than Adam raked. Bob raked 357 liters of leaves. How many liters did Adam rake?
Answers
Answer:
Adam raked 340 liters
Step-by-step explanation:
Bob raked more leaves than Adam
5% more means take 100 % and add 5% = 105%
105% as a decimal is 1.05
Bob = 1.05 * Adam
We know Bob raked 357
357 = 1.05 Adam
Divide by 1.05
357/1.05 =1.05/1.05 Adam
340 = Adam
2x−(3x−4)=3x−5. pls solve
Answers
Answer:
x=9/4
Step-by-step explanation:
Performing the indicated multiplication, we get
2x - 3x + 4 = 3x - 5
Combining the x terms, we get -4x = -9, so that x = 9/4.
percent of change of $49 to $149
Answers
To find the percentage change, here is what we can do:
difference/original value x 100%
The difference: 149-49 = 100
The original value:149
The percentage change:
100/149 x 100%
=67.11409...%
Therefore the answer is 67.1%(corr. to three significant figures)
Hope it helps!
The percent of change from $49 to $149 is approximately 204.08%.
To calculate the percent of change from $49 to $149, we first find the difference in the two amounts.
The difference between $149 and $49 is $149 - $49 = $100.
Then, we divide the difference by the original amount (in this case, $49) to find the change in terms of the original amount.
This gives us $100 / $49 = 2.0408.
To convert this to a percentage, we multiply by 100. 2.0408 x 100
= 204.08%.
So the percent of change from $49 to $149 is approximately 204.08%.
Solve x2 − 7x = −13.
A) x equals quantity of negative 7 plus or minus I square root of 6 all over 2
B) x equals quantity of negative 7 plus or minus I square root of 3 all over 2
C) x equals quantity of 7 plus or minus I square root of 6 all over 2
D) x equals quantity of 7 plus or minus I square root of 3 all over 2
Answers
Answer: the actual correct answer is D
Step-by-step explanation: i know the test answers because i am in flvs too
Each time a solid bicycle wheel turns, the bicycle travels 197cm. What is the area of the wheel?
Answers
Answer:
38809/(4pi) cm^2
Step-by-step explanation:
So the circumference of the wheel is 197. So to find the radius, we divide by 2 pi. So now we have 197/(2pi) as the radius. Now we have to find the area, so it is 38809/(4pi)
The area of the solid wheel is 3090 cm².
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
We know circumference is the distance around the circle which is 2πr.
Given, Each time a solid bicycle wheel turns, the bicycle travels 197cm.
Therefore,
2πr = 197.
r = 197/π×2.
r = 31.37 cm.
Therefore, The area of the solid wheel is,
πr².
= 3.14×(31.37)² cm².
= 3090 cm².
learn more about circles here :
https://brainly.com/question/29142813
#SPJ2
Maria is playing a video game. She earns 15 points when she completes level one. Each time she completes a level, she earns twice as many points as the previous level. How many points will Maria earn when she completes level eight?
Answers
Answer:
She will earn 1,920 points. PLEASE GIVE BRAINLIEST!!!
Step-by-step explanation:
Level 1 : 15 points x 2 = level 2
Level 2 : 30 points x 2 = level 3
Level 3: 60 points x2 = level 4
Level 4: 120 points x2 = level 5
Level 5: 240 points x2 = level 6
Level 6: 480 points x2 = level 7
Level 7: 960 points x2 = level 8
Level 8: 1,920 points
Can someone help me?
Answers
Answer:
y=1/3x+8
Step-by-step explanation:
you can use the formula y=mx+b
y=1/3x-1
10=1/3*6+b
10=2+b
b=8
y=1/3x+8
m% of n is what percent of p?
FIND FOR PERCENT
Answers
[tex]\( m\% \) of \( n \) is \( \frac{{m \times n}}{{p}}\% \) of \( p \).[/tex]
To find what percentage m% of n is of p, you would calculate:
[tex]\[ \text{Percentage} = \frac{{(m\% \text{ of } n)}}{p} \times 100\% \][/tex]
Substituting [tex]\( m\% \) of \( n \) with \( \frac{m}{100} \times n \), t[/tex]he formula becomes:
[tex]\[ \text{Percentage} = \frac{{\frac{m}{100} \times n}}{p} \times 100\% \][/tex]
Simplify the expression:
[tex]\[ \text{Percentage} = \frac{{m \times n}}{{100 \times p}} \times 100\% \][/tex]
[tex]\[ \text{Percentage} = \frac{{m \times n}}{{p}}\% \][/tex]
So,[tex]\( m\% \) of \( n \) is \( \frac{{m \times n}}{{p}}\% \) of \( p \).[/tex]
Paws at play made a total of $1234 grooming 22 dogs. Paws at Play charges $43 to groom each small dog and $75 for each large dog.
a. Write a system of equations that can be used to determine the number of small and large dogs that were groomed.
b. How many large dogs did Paws at Play groom?
Answers
Answer:
Answer (a):
s + l = 22 ... (i)
43s + 75l = 1234 ... (ii)
Answer (b)
9 large dogs.
Step-by-step explanation:
Paws at Play made a total of $1234 grooming 22 dogs.
Paws at Play charges $43 to groom each small dog and;
$75 for each large dog.
Let the number of small dogs be 's'
And the number of large dogs be 'l'
A system of equations will be:
s + l = 22 ... (i)
43s + 75l = 1234 ... (ii)
Solving this set of simultaneous equations by elimination, we simply multiply (i) by 43 to get;
43s + 43l = 946 ... (i)
43s + 75l = 1234 ... (ii)
Subtracting (i) from (ii) we get;
32l = 288 , l = [tex]\frac{288}{32}[/tex] = 9
So there are 9 large dogs.
10.210 ÷ 10 (Long Division Work)
Answers
hoped this helped
Here is how you solve this problem with long-division. Hopefully it helps!
The following function is quadratic.
f(x)=(x+4)(x-6)
What is the value of the positive x-intercept of the graph of the related equation y = (x+4)(x-6)?
Answers
Answer: 6
You replace f(x) or y with 0, and then solve for x
y = (x+4)(x-6)
(x+4)(x-6) = y
(x+4)(x-6) = 0
x+4 = 0 or x-6 = 0 .... zero product property
x = -4 or x = 6
The x intercepts are -4 and 6. In this case, only 6 is the positive x intercept.
side note: The term "root" is another way to say "x-intercept"
which expression is equivalent to 0.4 x 8.7
A: (4x87) x (1/100 x 1/10)
B: (4x87) x (100 x 10)
C: (4x87) x (1/100 x 1/100)
D: (4 x 87) x (1/10 x 1/10)
Answers
A 52% video game is advertised for 20% off. If sales tax is 6%,how much will the video game cost
Answers
Answer:
Equation: 52+(52•.20) that is the first part for your answer you should get 10.4 or $10.40. Then you would take 52-10.4=41.60 then keeping that number in mind you do 41.60• .06 and get, rounded, 2.50. Then you would add 41.60+2.50 and get $44.10 as your answer . I hope I could help
Step-by-step explanation:
Even would be helpful if you just gave me the equation to solve it and I can do the rest. mart had a sale for labor day on DVD's and video tapes. Katie bought 2 tapes and 3 DVD's and spent 134$. Emily bought 1 tape and 5 DVD's and spent 179$. How much does a tape and DVD cost .
Answers
x - price of a video tape
y - price of a DVD
[tex]\left\{\begin{array}{ccc}2x+3y=134\\x+5y=179&|\text{subtract 5y from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}2x+3y=134\\x=179-5y&|\text{substitute to the first equation}\end{array}\right\\\\2(179-5y)+3y=134\qquad\text{use distributive property}\\\\(2)(179)+(2)(-5y)+3y=134\\\\358-10y+3y=134\qquad\text{subtract 358 from both sides}\\\\-7y=-224\qquad\text{divide both sides by (-7)}\\\\\boxed{y=32}\\\\\text{Put the value of y to the second equation}\\\\x=179-5(32)\\\\x=179-160\\\\\boxed{x=19}[/tex]
Answer: video tape cost $19 and DVD cost $32.What is answer for # 38 and #39???
Answers
Answer:
f(x) + g(x) = 6x^2 + 28x + 36
Step-by-step explanation:
Thirty eight
You begin to solve this by writing it like this [just as you have it].
f(x) = x^2 + 5 Now put g(x) where you see x
f(g(x)) = [g(x)]^2 + 5 Now substitute the right side of g(x) wherever you see g(x)
f(x - 4) = [x - 4]^2 + 5 Expand the brackets
f(x- 4) = x^2 - 8x + 16 + 5
f(x - 4) = x^2 - 8x + 21
=======================
Thirty Nine
f(x) = (x + 4)^2
g(x) = 5(x + 2)^2
Expand f(x)
f(x) = x^2 + 8x + 16
Expand g(x)
g(x) = 5(x^2 + 4x + 4) Remove the bracketsg(x) = 5*x^2 + 5*4x + 5*4 Perform the multiplicationg(x) = 5x^2 + 20x + 20f(x) + g(x) = x^2 + 8x + 16 + 5x^2 + 20x + 20
f(x) + g(x) = 6x^2 + 28x + 36
Using arithmetic operations, rewrite this polynomial in standard, simplest form. (3x2 + 9x + 6) − (8x2 + 3x − 10) + (2x + 4)(3x − 7)
Answers
Answer:
x∧2+4x-16
Step-by-step explanation:
Answer:x^2+4x-12
Step-by-step explanation: I got it right
Yogesh has 3 quarters, 1 dime, and 2 pennies
Answers
How:
quarter = 25¢
dime= 10¢
penny= 1¢
25×3=75
10×1=10
1×2=2
Add them all up
75
+10
+ 2 =87
Answer: Yoghes has $0.87
Step-by-step explanation: We want to know the total amount of money that Yogesh has:
each quarter values 25¢, a dime values 10¢, and a penny values 1¢
(or the values can be written as $0.25, $0.10 and $0.01 respectively)
Yogesh has 3 quarters, so this means he has: 3*$0.25 = $0.75
he has 1 dime, so in dimes, he has: $0.10
he has 2 pennies, so in pennies, he has: 2*$0.01 = $0.02
If we sum up the 3 amounts, we have:
Total = $0.75 + $0.10 + $0.02 = $0.87
Genevieve collected pledges of $3.50 for every complete mile she runs in a charity race. Her goal is to raise at least $50.00. Genevieve wrote the inequality 3.5m ≥ 50 to find out how many miles she needs to run.
Genevieve thinks she needs to run at least 14 miles.
But Carla says Genevieve needs to run more miles than that.
Who is correct and why?
A.
Carla is correct because 3.5 × 14 is less than 50.
B.
Genevieve is correct because 3.5 × 14 is about 50.
C.
Carla is correct because 3.5 × 14 is not equal to 50.
D.
Genevieve is correct because 3.5 × 14 is greater than 50.
Answers
Answer:
A.
Carla is correct because 3.5 × 14 is less than 50.
Step-by-step explanation:
3.5m ≥ 50
To determine how many miles she needs to run, divide each side by 3.5
3.5m/3.5 3.5m ≥ 50 50/3.5
m ≥ 14.28571429
She must run more than 14 miles
Carla is correct because 14* 3.5 = 49. That is less than the 50 she wants to raise.
Vector u has its initial Point at (15,22) and it’s terminal point at (5,-4)
Answers
Final answer:
The position vector of vector u is (-10, -26). The magnitude of vector u is sqrt(776). The direction of vector u is 68.2 degrees.
Explanation:
The position vector of vector u can be found by subtracting the initial point from the terminal point. So, the position vector of u is (5-15, -4-22) = (-10, -26).
The magnitude of vector u can be found using the distance formula, which calculates the length of a vector. The formula is: magnitude = sqrt(x^2 + y^2), where x and y are the components of the vector. So, for vector u, the magnitude is: sqrt((-10)^2 + (-26)^2) = sqrt(100 + 676) = sqrt(776).
The direction of vector u can be found using trigonometry. The direction angle (theta) is given by tan(theta) = y/x. So, for vector u, the direction angle is: tan(theta) = (-26)/(-10) = 2.6. Converting to degrees, theta = arctan(2.6) = 68.2 degrees.