Answer:
The formula for the gray squirrel population is [tex]n = 3125\cdot 2^{\frac{t}{6} }[/tex].
Step-by-step explanation:
The statement indicates that gray squirrel population increases geometrically, population is doubled every 6 years. That is:
[tex]\frac{n_{t+6}}{n_{t}} = 2[/tex] (1)
If the population after 30 years is 100000, then we construct the following relationship:
[tex]\frac{n_{6}}{n_{o}} \cdot \frac{n_{12}}{n_{6}}\cdot \frac{n_{18}}{n_{12}}\cdot \frac{n_{24}}{n_{18}}\cdot \frac{n_{30}}{n_{24}} = 2^{5}[/tex]
[tex]n_{30} = 2^{5}\cdot n_{o}[/tex]
[tex]n_{o} = \frac{n_{30}}{2^{5}}[/tex] (2)
[tex]n_{o} = \frac{100000}{2^{5}}[/tex]
[tex]n_{o} = 3125[/tex]
A geometric progression for the grey squirrel population is defined by the following formula:
[tex]n = 3125\cdot 2^{\frac{t}{6} }[/tex] (3)
Where:
[tex]t[/tex] - Time, measured in years.
[tex]n[/tex] - Population of gray squirrels.
At a movie, 80% of the audience members were teenagers. If the number of teenagers at the movie was 56, what was the total number of audience members?
PLS ILL GIVE BRAINLIST TO WHOEVER ANSWERS N YOU DONT HAVE TO DO AN EXPLANATION)
Answer:
ANSWER IS 70!
Step-by-step explanation:
which equation represents a line parallel to the y axis?
A: y=x
B: x=4
C: y=4
D: y=x+4
Which digit is in the billions place?
281 847 583 332.9
Answer:
1
Step-by-step explanation:
281,847,583,332.9
Answer:
I think 847
Step-by-step explanation:
The order of place value is trillion, billions, millions, thousands, and ones. Billion comes third. This is why I think its 847.
I hope this helps u! :D
Jane has 12 deck chairs and she has painted 1/4 of them yellow. How many are unpainted?
answer is 9
Step-by-step explanation:
12/4=3
1/4=3
3/4=9
what is F?
H is 5m
I is 8m
G is 10m
Answer: F is 11m.
Step-by-step explanation: Because H,I,G are all increasing their numbers like plus 3, plus 2, and the last one has to be plus 1.
My sister need help!!!
Answer:
nice hand writing
Step-by-step explanation:
Please see the attachment. Thank you
First, find the area of each rectangle. 3×5 1/6
Answer:
31/2
Step-by-step explanation:
hope this helps!
Use the discriminant to describe the roots of each equation. Then select the best description.
2 = x2 + 5x
double root
real and rational root
real and irrational root
imaginary root
[tex]2 = {x}^{2} + 5x[/tex]
Arrange the expression into the standard form.[tex]0 = {x}^{2} + 5x - 2 \\ {x}^{2} + 5x - 2 = 0[/tex]
DiscriminantFrom the standard form equation and from the given equation.
[tex]a {x}^{2} + bx + c = 0 \\ a = 1 \: \: \: b = 5 \: \: \: c = - 2[/tex]
Discriminant Formula
[tex]D = {b}^{2} - 4ac[/tex]
Substitute the value of terms in the discriminant formula.
[tex]D = {(5)}^{2} - 4(1)( - 2) \\ D = 25 - 4( - 2) \\ D = 25 + 8 \\ D = 33[/tex]
Discriminant Types
[tex]D > 0 \: \: \: \: 2 \: \: real \: \: roots \\ D = 0 \: \: \: \: 1 \: \: real \: \: root \\ D < 0 \: \: \: imaginary \: \: roots[/tex]
We can rule out the Imaginary root and double root because the discriminant is greater than 0. Therefore, the only choices are either Irrational or Rational.
However, we cannot factor the expression by using two brackets or common factor. We can say that the equation has two real irrational roots.
Answerreal and irrational rootCan someone help me?
Answer:
QR is 1.2 due to both triangle are similar
Answer:
the answer should be 0.96 units
Step-by-step explanation:
1.6/2.0=.8
.8x1.2= .96
Six out of the 12 members of the school choir are boys. In simplest form, what fraction of the choir is boys?
Answer:
1/2
Step-by-step explanation:
A closed box has a square base with side length feet and height feet. Given that the volume of the box is cubic feet, express the surface area of the box in terms of only.
Complete Question:
A closed box has a square base with side length L feet and height h feet. Given that the volume of the box is 39 cubic feet, express the surface area of the box in terms of L only.
Answer:
[tex]A = \frac{156}{L} + 2L^2[/tex]
Step-by-step explanation:
Given
[tex]Volume = 39ft^3[/tex]
Required
Express the surface area in terms of L
Because the box has a square base:
The volume is:
[tex]Volume = Base\ Area * Height[/tex]
Where
[tex]Base\ Area = L * L[/tex]
So, we have:
[tex]Volume = L * L * H[/tex]
Substitute 39 for Volume
[tex]39= L * L * H[/tex]
[tex]39= L^2 * H[/tex]
Make H the subject
[tex]H = \frac{39}{L^2}[/tex]
The surface area (A) of a box with square base is:
[tex]A = 2(LH + LH + L^2)[/tex]
[tex]A = 2(2LH + L^2)[/tex]
Open bracket
[tex]A = 4LH + 2L^2[/tex]
Substitute [tex]\frac{39}{L^2}[/tex] for H
[tex]A = 4L * \frac{39}{L^2} + 2L^2[/tex]
[tex]A = \frac{4L *39}{L^2} + 2L^2[/tex]
[tex]A = \frac{4*39}{L} + 2L^2[/tex]
[tex]A = \frac{156}{L} + 2L^2[/tex]
Please I really need help!!
(Solve using tape diagrams)
Serena's mom is planning her birthday party. She bought balloons, plates, and cups. Serena's mom bought twice as many plates as cups. The number of balloons Serena's mom
bought was half the number of cups. If Serena's mom bought 84 items, how many of each item did she buy?
Answer:
look at the picture
Step-by-step explanation:
the picture explains everything
Identify the property demonstrated.
4(3+5) = 4.3 +4.5
-associative property of
multiplication
-commutative property of multiplication
-distributive property
-identity property of multiplication
Answer:
Distributive property
Step-by-step explanation:
Question 14 options: x−93=28 Solve for x.
Answer:
x = 121
Step-by-step explanation:
In order to solve for "x" you need to get it on one side by itself. To do that you need to add 93 to the other side. 93 + 28 is 121.
Answer:
121
Step-by-step explanation:
x-93=28
x=28+93
x=121
"" Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (0, 11, −9) and parallel to the line x = −1 + 3t, y = 6 − 3t, z = 3 + 7t
Find the tangent vector T to the given line (t) = 〈 x(t), y(t), z(t) 〉, with parametric equations,
x(t) = -1 + 3t
y(t) = 6 - 3t
z(t) = 3 + 7t
by differentiating (t) component-wise:
T = '(t) = 〈 dx(t)/dt, dy(t)/dt, dz(t)/dt 〉
T = 〈3, -3, 7〉
Scale T by any real number t to get the line through the origin (when t = 0) and the point (3, -3, 7) (when t = 1), which of course runs parallel to '(t). This gives the vector tT. Translate this by any vector v = 〈a, b, c〉 to force this line to pass through the point (a, b, c) instead of the origin, while still remaining parallel. You want the new line to pass through (0, 11, -9), so take v = 〈0, 11, -9〉.
Then the vector equation of the new line is
tT + v = t 〈3, -3, 7〉 + 〈0, 11, -9〉 = 〈3t, 11 - 3t, -9 + 7t〉
with parametric equations
x(t) = 3t
y(t) = 11 - 3t
z(t) = -9 + 7t
Convert the following repeating decimal into a fraction. *
___
2.111
Answer: i think that the only fraction that we can convert this into is 2111/1000
Answer:
[tex]\frac{2111}{1000}[/tex]
Step by step:
2.111 = [tex]\frac{2.111}{1}[/tex]
then, get rid of the decimal sign in 2.111 by multiplying it by 1000 since there are 3 numbers after the decimal point.
your new fraction is [tex]\frac{2111}{1000}[/tex]
irrational numbers are closed under subtraction true/false
Answer:
False
Step-by-step explanation:
a+(-a)=a-a = 0 which means irrational numbers are not closed under addition or subtraction.
False. Irrational numbers are not closed under subtraction.
Given data:
Closure under subtraction means that if you subtract two irrational numbers, the result will always be another irrational number.
However, this is not true for irrational numbers.
For example, consider the irrational numbers √2 and √2 + √2. Both of these numbers are irrational. However, when we subtract √2 from √2 + √2, we get:
(√2 + √2) - √2 = √2
The result, √2, is still an irrational number. But if we subtract two irrational numbers like √2 from √2, we get:
√2 - √2 = 0
The result, 0, is a rational number, not an irrational number.
To learn more about irrational numbers, refer:
https://brainly.com/question/4031928
#SPJ6
A railroad car container can hold 66,000 pounds. Mr. Evans wants to ship 80 ovens and some freezers in the same container. If each freezer weighs 600 pounds, how many freezers could be shipped in the container. Each oven
weighs
300 pounds
Answer:
70 freezersStep-by-step explanation:
Each oven weights 300 pounds and there 80 ovens:
80*300 = 24000 poundsWeight left for freezers:
66000 - 24000 = 42000 poundsNumber of freezers could be added:
42000/600 = 70
Solve for v.
v-8.4= 6.62
Answer:
v-8.4=6.62 +8.4
v=15.02
Step-by-step explanation:
prove me wrong
Solve the compound inequality 4x – 7 > 5 or 5x + 4 ≤ –6. Question 18 options: A) –2 ≤ x 3 C) x 3
Answer:
x>3 or x≤-2
Step-by-step explanation:
4x-7>5 or 5x+4≤-6
4x>5+7 or 5x≤-6-4
x>3 or x≤-2
Select the correct answer. Which level of government relies the most on income tax?
Answer:
The Federal government relies the most on income tax.
Step-by-step explanation:
pls help me!! thank you!!
Answer:
4
Step-by-step explanation:
reflect point a (1,1) over y axis
Answer:
reflected across the y axis, the point (1, 1) becomes (-1, 1).
Step-by-step explanation:
To reflect a point across the y-axis, all you need to do is negate the x coordinate. That gives you (-1, 1)
Which equations support the fact that rational numbers are closed under addition?
Select each correct answer.
+0.5 = 1
3/16 +3/16 = 6/16
35+ 5 = 415
V10 + (-V10) = 0
Answer:
3/16+3/16=6/16
Step-by-step explanation:
HOPE ITS HELP YOU
In a farm, ratio of number of cows to number of hens is 2:3. If the number of legs is 40 more than number of eyes, total of how many hens are there in the farm?
Answer:
30 hens, 20 cows.
Step-by-step explanation:
Step one:
let the number of cows be x
and the number of hens be y
Each cow has 2 eyes, each hen has 2 eyes also.
the total number of eyes is
2x+2y
Each cow has 4 legs, each hen has 2 legs.
the total number of legs is
4x + 2y
Step two:
the number of legs exceeds the number of eyes by 40:
4x+2y - (2x+2y) = 40
open bracket
4x+2y-2x-2y=40
4x-2x=40
2x=40
Divide both sides by 2
x=40/2
x=20
Step three:
we know also that x = 2/3*y, so y = 3/2*x = 3/2 * 20 = 30
30 hens, 20 cows.
Check:
60 + 40 eyes = 100, 60 + 80 legs = 140legs.
One-third of the total number of marbles in a jar are blue and green. There are 24 blue marbles and 18 green marbles. How many marbles are in the jar?
Answer:
126 marbles
Step-by-step explanation:
if 42 is 1/3 of the jar, times it by 3 and that's the total.
Answer:
126 marbles
Step-by-step explanation:
24 - blue
18 - green
42 are blue or green
let 't' = total number of marbles
1/3t = 42
t = 42 x 3 = 126
quick ASAP 25 POINTS AND BRAINLIEST FOR BEST ANSWER
Multiplying Rational Expressions
Simplify each expression
(1/p-9)*(p^2+6p-27/p+9)
Answer:
-9p3 + 6p2 + 9p - 26/ p
Step-by-step explanation:
hope this helps
You spent 25% of your monthly wages on rent. If you earned $75,350 last year,
how much did you spend on rent each month?
A swimming pool has a leak and is losing 23.5 gallons of water every 5 days. What is the average change in water volume each day?
Step-by-step explanation:
If you divide the distance by the elapsed time, the result will be the rate of water loss (evaporation). To convert this evaporation rate in to gallons lost over a specific time period, you will need convert the measure into a volume. WTG GLAD U GOT IT RIGHT..