Answer:
|−0.658| < |−0.653|.
Step-by-step explanation:
Question 10 options:
A marine biologist is researching the population density of dolphins. The marine biologist counts 175 dolphins within a radius of 2.5 miles of a half-circle off of Clearwater Beach.
What is the population density of the dolphins?
Use 3.14 for pi, and round to the nearest whole number.
Answer:
Density = 9 dolphins / mi^2 This is the result.
Step-by-step explanation:
Number of dolphins = 175
Radius = 2.5 mi
1. - Calculate the area
Area = pi* r^2
Area = 3.14*2.5^2
Area = 3.14*6.25
Area = 19.625 mi^2
2. - Calculate the density
density = dolphins/mi^2
- Substitution
density = 175 / 19.625
Result
density = 8.9 dolphins/mi^2
Rounding to the nearest whole number
Density = 9 dolphins / mi^2
Answer:
Area of half circle = 1/2 x π x r^2
= 1/2 x 3.14 x 2.5^2
= 9.8125 miles²
For the density divide the number of dolphins by the area:
Density =population/area= 175/9.8125 = 17.83 dolphins/mile²
the population density of the dolphins is 18dolphin/miles²
Is it point s,w,v, or R PLEase HELP
sales of 10 000 increase by 65 each year
Answer:
Whats the question
Step-by-step explanation:
also if you are looking for the unit rate its 153.846...
or if you are looking for how many in 2 years then 650,000
Hope this helps
Have a nice day :)
when a graph line is vertical, it indicates that the relation is?
Answer:
When a vertical line is placed across the plot of this relation, it intersects the graph more than once for some values of x. If a graph shows two or more intersections with a vertical line, then an input (x-coordinate) can have more than one output (y-coordinate), and y is not a function of x.
Step-by-step explanation:
What is the value of x?
Answer:
b. 17
Step-by-step explanation:
Answer:
x=17
Step-by-step explanation:
180=7x+28+33
180=7x+61
180-61=7x+61-61
119=7x
119÷7=7x÷7
17=x
Use the Distributive Property to find the product 3/4 • 2 1/3
You made a profit of $65,000. You would like to invest the $65,000 into an account that pays you an annual compounded interest rate of 5.5%. You want to make annual withdrawals over the next 10 years such that by the end of this 10 year period, the amount remaining in the account will be zero dollars. Determine, from the given information, the amount of the annual withdrawals. please Round your answer to the nearest cent.
Answer:
d. $8,623.40
Step-by-step explanation:
EDGE 2021
If 1700 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Answer:
[tex]V = 6746.30cm^3[/tex]
Step-by-step explanation:
Given
[tex]Surface\ Area = 1700cm^2[/tex]
Required
Determine the largest possible volume
Represent the dimension with:
[tex]Height = h[/tex]
[tex]Sides = x[/tex]
Surface Area with an open top is:
[tex]Surface\ Area = x^2+ 4hx[/tex]
Substitute 1700 for Surface Area
[tex]1700 = x^2+ 4hx[/tex]
Make h the subject
[tex]4hx = 1700 - x^2[/tex]
[tex]h = \frac{1700 - x^2}{4x}[/tex]
The volume (V) is calculated as:
[tex]V = x^2h[/tex]
Substitute value for h in [tex]V = x^2h[/tex]
[tex]V = x^2*\frac{1700 - x^2}{4x}[/tex]
[tex]V = x*\frac{1700 - x^2}{4}[/tex]
[tex]V = \frac{1700x - x^3}{4}[/tex]
[tex]V = \frac{1700x}{4} - \frac{x^3}{4}[/tex]
[tex]V = 425x - \frac{x^3}{4}[/tex]
[tex]V = 425x - \frac{1}{4}x^3[/tex]
Differentiate and equate to 0, afterwards
[tex]V' =425 - \frac{3}{4}x^2[/tex]
[tex]425 - \frac{3}{4}x^2 = 0[/tex]
[tex]\frac{3}{4}x^2 = 425[/tex]
Solve for [tex]x^2[/tex]
[tex]x^2 = 425 * \frac{4}{3}[/tex]
[tex]x^2 = 566.67[/tex]
Take the square root of both sides
[tex]x = \sqrt{566.67[/tex]
[tex]x = 23.80[/tex]
Substitute 23.80 for x in [tex]h = \frac{1700 - x^2}{4x}[/tex]
[tex]h = \frac{1700 - 23.80^2}{4*23.80}[/tex]
[tex]h = \frac{1133.56}{95.20}[/tex]
[tex]h = 11.91[/tex]
So, the largest possible volume is:
[tex]V = x^2h[/tex]
[tex]V = 23.80^2 * 11.91[/tex]
[tex]V = 6746.30cm^3[/tex]
Find the solution or solutions to this equation. Need Help ASAP! Need Help NOW!
Answer: 6
Step-by-step explanation:
If 36=q^2 then you would have to square root 36 to just find q. The square root of 36 is 6.
WILL MARK AS BRAINLIEST PLEASE HELP!!!
Step-by-step explanation:
2x = y-10
Rewrite as: 2x + 10 = y
Therefore:
2x+10 = y
2x +7 = 2y
Subtract the equations:
2x + 10 = y
- 2x + 7 = 2y
______________
3 = -y
Therefore y = -3
Substiture y = -3 into the second equation:
2x + 7 = 2(-3)
2x + 7 = -6
2x = -13
x= -6.5
Answer : (-6.5, -3)
Answer:
(-13/2,-3)
Step-by-step explanation:
First you want to isolate y from 2x=y-10 or 2x+7=2y. In this case, I picked 2x=y-10 so I added 10 on each side to make y=2x+10. Because we know what y is equal to, we have to plug that into the other equation which is 2x+7=2y so the equation will look like 2x+7=2(2x+10). Simplify this to get 2x+7=4x+20. Simplify this again to get 2x=-13. Divide 2 by each side to get x=-13/2. Then, you have to -13/2 back into one of the equations. In this case, I picked 2x+7=2y so the equation will look like this. 2(-13/2)+7=2y. Simplify this to get -13+7=2y. Simplify again to get -6=2y. Simplify this again to get y=-3. Therefore, x=-13/2 and y=-3. To put it in ordered pair form which is (x,y). Plug that in to get (-13/2,-3).
If this has helped you, please mark the is brainliest
123.7 cm= How many meters?
123.7 cm = 1.237 meters
hope it helps.
6. Which is the solution to the system of equations
Answer:
Lets solve using elimination method
(x+y=-7)*-2
3x+2y=-17
-2x-2y=14
+
3x+2y=-17
x=-3
so lets substitute now
-3+y=-7
y=-7+3
y=-4
answer = (-3,-4)
mark me brainliest
HOPE IT HELPS :)
The surface area of this cube is 864 square yards. What is the value of q?
Answer:
Volume
=
512
cubic feet
Explanation:
A cube has
6
faces all with equal area.
If the total surface area of the cube is
384
sq.ft.
then each face has an area of
384
÷
6
=
64
sq.ft.
Each face of a cube is a square and if we denote the length of an edge as
E
then the area of a face (in this case
64
sq.ft.) is equal to
E
2
XXX
E
2
=
64
sq.ft.
XXX
→
E
=
8
sq.ft.
The volume of a cube with edges of length
E
is
E
3
In this case
Volume
=
E
3
=
8
3
=
512
sq.ft.
Hope i helped
Martin got a haircut yesterday if he pad $27 and left an 18% tip, what was the total bill
======================================================
Work Shown:
x = total bill amount ignoring the tip
18% of x = 0.18x = tip amount
x+0.18x = 1.18x = amount Martin paid = 27
1.18x = 27
x = 27/1.18
x = 22.8813559322033 approximately
x = 22.88 dollars was the total bill.
----------
Checking the answer:
18% of 22.88 = 0.18*22.88 = 4.1184 = 4.12
Martin left a tip of $4.12
Add this on top of the bill to get 22.88+4.12 = 27
This matches with the fact he paid $27.
The answer is confirmed.
find factors of f(x)=x^3-4x^2-7x+10 when (x-5) is a factor
Answer:
Step-by-step explanation:
here hope it helps
can someone please answer some of my questions on my page? im being stalked by a bot who wont give me and answer and keeps putting a link, but i want a trustful answer. (i will mark brainliest on any questions you answer if you do)
Answer:
Trust me
Step-by-step explanation:
Answer:
ikr they put this cuttly.com /... thing in it right
Step-by-step explanation:
A pet store has 10 puppies including for poodles three terriers and three retrievers if Rebecca selects one puppy at random the pet store replace a puppy with a copy of the same breed then Aaron chooses a puppy at the random find the probability that they both select a poodle?
Answer:
then its 16 i think
Step-by-step explanation:
If h(x) = (f o g)(x) and h(x) = sqrt(x+5), find g(x) if f(x) = sqrt(x+2)
Answer:
g(x) = x + 3Step-by-step explanation:
Givenh(x) = (f ο g)(x)h(x) = [tex]\sqrt{x+5}[/tex]f(x) = [tex]\sqrt{x+2}[/tex]To findg(x)SolutionWe know that:
(f ο g)(x) = f(g(x))Substitute x with g(x) and solve for g(x):
[tex]\sqrt{x+5}[/tex] = [tex]\sqrt{g(x)+2}[/tex]x + 5 = g(x) + 2x + 3 = g(x)g(x) = x + 3what is the area of the lawn in sqaure meters
Answer:
60 m
Step-by-step explanation:
Trapezoid area formula:
[tex]A=\frac{a+b}{2} h\\\\A=\frac{18+12}{2} 4\\\\\frac{30}{2} *4\\\\15*4\\60[/tex]
geometry unit 5 homework 5
Answer:
Oh gosh- I'm learning geometry in school. IDEK WHATS HAPPENING! But where's the question? Is there supposed to be a file attached or something?
Write a slope intercept equation for the following table
6x + 7b - 7x + 10x
What is the answer to this question?
Answer:7b+9x
Step-by-step explanation:hope I helped
Use the Distributive Property to simplify the expression.
9(3+c+ 4) =
Answer:
9c4+27 is what I got from solving
Answer:
9(7+c)
I hope it's correct sorry if I'm wrong :(
(8x) 2/3 radical form
What generalization can you make about the equations?Use the drop-down menus to complete the explanation
Answer:
They have the same end results
Step-by-step explanation:
Given
The missing equations are:
[tex]7 / \frac{1}{4} =[/tex]
[tex]7 * 4 =[/tex]
Required
Make a generalization about the equations
First, we solve both equations.
(1)
[tex]7 / \frac{1}{4} =[/tex]
[tex]7 / \frac{1}{4} = 7 * 4[/tex]
[tex]7 / \frac{1}{4} = 28[/tex]
(2)
[tex]7 * 4 =[/tex]
[tex]7 * 4 = 28[/tex]
From the solutions to the above equations, we can see that both equations have the same end result;
i.e.
[tex]7 / \frac{1}{4} = 7 * 4 = 28[/tex]
Hence;
A generalization can be: "they have the same end results"
Please Help Will Give Brainlist
2a+2=6
Answer: 4a
Step-by-step explanation:
Answer:
a = 2
Step-by-step explanation:
2a + 2 = 6
2a + 2 - 2 = 6 - 2
2a = 4
2a / 2 = 4 / 2
a = 2
Hope this helps and I would appreciate if you give me the brainlist or not, thank you :) !!
If berry has 30 ounces of coke and sells each ounce for 8 bucks an ounce how many ounces do you get if you spend 13 dollars on coke.
(-4,-4), (1,3)
Find the distance and slope between each pair of points.
How to round 16.15549 to the nearest tenth?
Answer:
16.2
Step-by-step explanation:
Answer
16....... my bad it's 16.2 I miscalculated
Step-by-step explanation:
To round a number to the nearest tenth , look at the next place value to the right If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.
The lot is 48 feet wide.
The dividers are each 2 feet wide.