Answer:
14/15 miles
Step-by-step explanation:
Given data
Tom jogged 3/5 mile on Monday
And jogged 2/6 mile on Tuesday
Required
The total distance covered for Monday and Tuesday combined.
Total= 3/5+2/6
Total= 18+10/30
Total= 28/30
Total= 14/15 miles
Hence the total is 14/15 miles
A marine biologist monitors the population of sunfish in a small lake. He records 800 sunfish in his first year, 600 sunfish in his fourth year, 450 sunfish in his sixth year, and 350 sunfish in his tenth year. Using the exponential regression equation (rounded to the hundredths),
1. Predict when the population of sunfish in the lake will be 200.
2. Predict the number of sunfish in the lake in the 25 thyear.
Answer:
Let's use the variable y to represent the number of years passed since the first year.
The population on the first year (y = 0) was 800
The population in the second year (y = 1) was 600.
The ratio in which the population decreased can be calculated as:
R = 600/800 = 0.75
This means that 600 is the 75% of 800, this also means that between the first year and the second year, the population decreased by the 25%
Now let's look at the ratio between the second and third year (y = 2), the population the third year was 450
Now the ratio is:
R = 450/600 = 0.75
Same as before, then we already can see that the population will decrease by 25% each year.
The generic exponential decay equation is:
f(y) = A*(1 - r)^y
where:
A = initial population, in this case, is 800
y = our variable, in this case, represents the number of years
r = the amount that decreases per each unit of our variable, this must be written in decimal form. In this case, we know that the population decreases by 25% each year, and 25% written in decimal form is 0.25
Also, (1 - r) = R, where R is the ratio we found earlier.
To do this, we just divide 25% by 100% to get (25%/100% = 0.25)
Then our equation will be:
f(y) = 800*(1 - 0.25)^y
f(y) = 800*( 0.75)^y
1) We want to predict when the population will be 200.
to do this, we set:
f(y) = 200 = 800*( 0.75)^y
and solve it for y.
(200/800) = 0.75^y
(1/4) = 0.75^y
Now we can use the relationship:
Ln(a^x) = x*ln(a)
Then let's apply Ln( ) in both sides to get
ln(1/4) = y*ln(0.75)
ln(1/4)/ln(0.75) = y = 4.8 years.
This means that 4.8 years after the first year, the population will be around 200.
2) The population in the 25 th year (this is 24 years after the first one, so we take y = 24) is:
f(24) = 800*(0.75)^(24) = 0.80
Around this point, we will have no more sunfish in the lake.
Marlowe loves to draw. She wants to refine her skills and start taking drawing lessons at a local art studio. The table shows the cost of drawing lessons.
Sorry im a little late but here's how i did it.
Hope this helps! :)
Find the percent of change. Round to the nearest tenth, if necessary.
In the 2006 season, Tom Brady threw for 3,529 yards. In the 2007 season, he threw for 2,806 yards.
Answer:
20.487%
Step-by-step explanation:
divide the second number by the first. then do one minus that number
solve for x triangle
Answer:
x=65
Step-by-step explanation:
solve for the angle not marked⇒ 180-147=33
add known angles⇒ 33+82= 115
subtract total known value from 180**⇒ 180-115=65
**all interior angles of a triangle must add up to 180°
HELP FIND THE UNIT RATE OF 90 DAYS/20 TRIPS PLEASEEEEE
Answer:
The unit rate is 4.5 days per trip
Step-by-step explanation:
So the equation would be 90 divided by 20
Simplified it is the same thing as 9 divided by 2
90 divided by 20 is 4.5
Answer:
4.5/1
Step-by-step explanation:
First, I found that 10 was the first factor or whatever I could find, so our new ratio is:
9/2
This is obviously not the unit rate, but if we divide by 2 we get:
4.5/1
So our unit rate is 4.5/1
Add or subtract the measurements. You must include the units.
Answer:
a. 22 ft 5in
b. 24 ft 4in
c. 2 ft 8 in
Step-by-step explanation:
all you need to do is add and substract them and then chance the units.
please please answer
Answer:
the rate is faster returning to the harbor
Step-by-step explanation:
JKLM is a rhombus. KM is 20 and JL is 48. Find the perimeter of the
rhombus.
Answer:
104 units
Step-by-step explanation:
Given
Shape: Rhombus
[tex]JL = 48[/tex]
[tex]KM = 20[/tex]
Required
Determine the perimeter
The given parameter are the diagonals of the rhombus.
The perimeter (from diagonals) is calculated as thus:
[tex]P = 2\sqrt{(JL)^2 + (KM)^2}[/tex]
Substitute values for JL and KM
[tex]P = 2\sqrt{48^2 + 20^2}[/tex]
[tex]P = 2\sqrt{2304 +400}[/tex]
[tex]P = 2\sqrt{2704}[/tex]
[tex]P = 2 * 52[/tex]
[tex]P = 104[/tex]
Hence, the perimeter is 104 units
NEED HELP ASAP PLZZZCircles can start with just a little bit of information and grow into equations and graphs. what are the coordinates of the center point and the radius of a circle?
Answer:
i need a photo this makes no sense
Step-by-step explanation:
The table gives an inequality and a number to divide both sides of the inequality by. Identify the new, true inequality.
A:
B:
C:
D:
The inequality symbol is only reversed when dividing by a___ number.
Answer:
A: -4 <-1
B: -2 < -1
C: 2> -5
D:2> -1
negative
Step-by-step explanation:
i did the assignment mark as brainliest?
The new true inequality are:
A = -4 < -1
B = -2 < -1
C = 2 > -5
D = 2 > -1
The inequality symbol is only reversed when dividing by a negative number.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
A:
8 > 2
8/-2 > 2/-2
-4 < -1
B:
-10 < -5
-10/5 < -5/5
-2 < -1
C:
16 > -40
16/8 > -40/8
2 > -5
D:
-8 < 4
-8/-4 > 4/-4
2 > -1
Thus,
A = -4 < -1
B = -2 < -1
C = 2 > -5
D = 2 > -1
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ6
Solve the inequality 21<2x+3
Answer:
x = 9 and up
Step-by-step explanation:
What is 1.8(x-4.2)+x simplified, I do not need to know what is x is, I just wanted to know what the equation is simplified
Answer:
2.8x - 7.56
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
The approximate time between two high tides or
two low tides is?
Answer:
It's (very roughly) 12 hours from one high tide to the next, and of course the same for low tides. That's because the tides produced when the Moon is directly overhead or in the opposite direction are the same. Same with two low tides, since there are two tides a day (both low and high).
Answer:
Because the Earth rotates through two tidal bulges every lunar day, coastal areas experience two high and two low tides every twenty-four hours and fifty minutes. High tides occur twelve hours and twenty-five minutes apart. It takes six hours and 12.5 minutes for the water at the shore to go from high to low, or from low to high.
Step-by-step explanation:
because I said
please mark me brainliest
Mr. Hanepen can eat 30 pieces of candy in 3 minutes
and has already eaten 57 pieces of candy.
Solve for brainlist! ♥️
can someone please help me
I need help with this problem
Answer:
-0.125 or -1/8
Step-by-step explanation:
switch the numerator and denominator and then divide. So, -8/1 should switch to 1/-8, and then you divide the two to get, your answer, -0.125
PLZZZ HELPPPP
Liang bought a basket of apples to make pies for her friends. The basket of apples weighed ppp pounds. Before she had time to make the pies, she ate 3 pounds of apples. There are 17 pounds of apples left to make pies.
Write an equation to describe this situation.
What was the total weight of the basket of apples?
Answer:
Equation: p - 3 = 17
Weight of basket of apples = 20 pounds
Step-by-step explanation:
Given that:
Weight of basket of apples = p
Weight of apples eaten by Liang = 3 pounds
Weight of left apples = 17 pounds
According to given statement.
p - 3 = 17
Adding 3 on both sides
p - 3 + 3 = 17 + 3
p = 20 pounds
Hence,
Equation: p - 3 = 17
Weight of basket of apples = 20 pounds
Area of circles, please help me it's so that I can pass this year. Solve it
Answer:
78.54 cm2
Step-by-step explanation:
A = pi · r squared
A = 78.54 cm2
HELP ME PLEASE WILL GIVE BRAINLY
Answer:
A.
Step-by-step explanation:
-3(-4r - 5)
combining like terms
Answer:
12r + 15
Step-by-step explanation:
Just distribute
Matt is given 9/10 hours to shovel a driveway. He only uses 2/3 of the given time to shovel the driveway. How much time is left?
Answer:
0.23333333333
Step-by-step explanation:
Answer:
7/30
Step-by-step explanation:
first make them both have common denominator
9/10= 27/30
2/3=20/30
they both go into 30 then subtract 27/30 and 20/30
-5x+ 8y = 10
-4x+ y = -19
Answer:
(6, 5)
Step-by-step explanation:
If a town with a population of 5,000 doubles in size every 11 years, what will the population be 44 years from now?
4. 8 16,
Find the next 3 term of geometric sequence
Answer:
32, 64, 128
Step-by-step explanation:
Let us start by looking at the geometric progression. A geometric progression multiplies each number by a constant, which we can name r, to get the next term. Let us find this constant:
16÷8=2
8÷4=2
Both expressions confirm that our r, the constant, is indeed 2.
To find the next few terms, we simply multiply by r:
1. 16r=16×2=32
2. 32r=32×2= 64
3. 64r= 64×2 = 128
I hope this helps! Please let me know if you have any further questions :)
Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000 . Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies to make the maximum revenue
Answer:
The maximum revenue Luci Lulu can make selling cookies in one day is $2,000.
The price Luci Lulu should sell the cookies to make the maximum revenue is $1.
Step-by-step explanation:
From the question, we have:
x = −2000p + 4000 ..................... (1)
Where;
x = number of cookies sold
p = price of a cookie, p, and the
Revenue function (R) can therefore be obtained as follows:
R = px ……………………….. (2)
If we substitute equation (1) into (2), we will have:
R = p(−2000p + 4000)
R = −2000p^2 + 4000p ……………… (3)
Differentiating equation (3) with respect to p and set it equal to zero, we have:
−4000p + 4000 = 0
Solving for p, we have:
4000 = 4000p
p = 4000 / 4000
p = 1
Therefore, this implies the price Luci Lulu should sell the cookies to make the maximum revenue is $1.
Substituting p = 1 into equation (3), we have:
R = (−2000 * 1^2) + (4000 * 1)
R = (−2000 * 1) + (4000 * 1)
R = −2000 + 4000
R = 2000
This implies that the maximum revenue Luci Lulu can make selling cookies in one day is $2,000.
Given: A= (0, 0), (2, 1). (3, 1.5). (4, 2). .}ls A a function and why?
Answer:
Yes, it is a function
Step-by-step explanation:
the definition of a function is "a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output." Our input is represented by x, or the first number in the parentheses, and our output is y, or the second number in the parentheses. Because each x value had exactly one output, or y, it is a function
what is 10 x 1080? Can someone help?
Answer:
10,800
Step-by-step explanation:
1. Multiply the ones
2. Multiply the tens
3. Multiply the hundreds
4. Multiply the thousands
5. Multiply the ten - thousands
Follow the steps and you will get the answer!
Solve for z.
2
=
4
5
12
Answer:
z=2256
did you mean
2z=4512?
i hope this was the question and that the answer is correct!^^
To make a profit, a clothing store sells board shorts at 115% of the amount they paid for them. How much did the store pay for the board shorts shown?
Answer:I’m trying to find that too
Step-by-step explanation:
Matthew is making bags of trail mix for hiking club. He will use 21 ounces of walnuts, 10.1 ounces of almonds, and 28.4 ounces of cashews. This amount makes 25 bags of trail mix. How many ounces are in each bag?
Answer:
its 2.38 ounces in each bag
Step-by-step explanation:
u add all of he numbers then divide by 25. your welcome