Answer:
[tex]S(r)=4\pi r^2[/tex].
Step-by-step explanation:
It is given that, the surface area S of a single-celled organism may be found by multiplying 4π times the square of the radius r of the cell.
We need to express S as a function of r.
Let r be the radius of the cell and S(r) be the surface area of single-celled organism when radius is r.
According to the question,
[tex]S(r)=4\pi \times r^2[/tex]
[tex]S(r)=4\pi r^2[/tex]
Therefore, the required function is [tex]S(r)=4\pi r^2[/tex].
solve this equation
3x+6=-2-2x
Answer:
x = -8/5
x = -1.6
Step-by-step explanation:
3x+6=-2-2x
Add 2x to each side
3x+2x+6=-2-2x+2x
5x+6 = -2x
Subtract 6 from each side
5x+6-6 = -2-6
5x= -8
Divide each side by 5
5x/5 = -8/5
x = -8/5
x = -1.6
5. Solve the following equations for the indicated variable.
a. 5(3x + 7)=20-2(x +1) for x
b. 2x - y= 24 for y
c. m(3 – 4m)= 7+4(8 – m2) for m
d. 5x(x + 3) =(x)(5x – 3) + 36 for x
Answer:a) x =−1
B) x=1/2y+12
C) m=13
D) x=2
Step-by-step explanation:a) Let's solve your equation step-by-step.
5(3x+7)=20−2(x+1)
Step 1: Simplify both sides of the equation.
5(3x+7)=20−2(x+1)
(5)(3x)+(5)(7)=20+(−2)(x)+(−2)(1)(Distribute)
15x+35=20+−2x+−2
15x+35=(−2x)+(20+−2)(Combine Like Terms)
15x+35=−2x+18
15x+35=−2x+18
Step 2: Add 2x to both sides.
15x+35+2x=−2x+18+2x
17x+35=18
Step 3: Subtract 35 from both sides.
17x+35−35=18−35
17x=−17
Step 4: Divide both sides by 17.
17x/17=−17/17
x=−1
B) Let's solve for x.
2x−y=24
Step 1: Add y to both sides.
2x−y+y=24+y
2x=y+24
Step 2: Divide both sides by 2.
2x/2=y+24/2
x=1/2y+12
C) Let's solve your equation step-by-step.
m(3−4m)=7+4(8−m2)
Step 1: Simplify both sides of the equation.
−4m2+3m=−4m2+39
Step 2: Add 4m^2 to both sides.
−4m2+3m+4m2=−4m2+39+4m2
3m=39
Step 3: Divide both sides by 3.
3m/3=39/3
m=13
D) Let's solve your equation step-by-step.
5x(x+3)=x(5x−3)+36
Step 1: Simplify both sides of the equation.
5x2+15x=5x2−3x+36
Step 2: Subtract 5x^2 from both sides.
5x2+15x−5x2=5x2−3x+36−5x2
15x=−3x+36
Step 3: Add 3x to both sides.
15x+3x=−3x+36+3x
18x=36
Step 4: Divide both sides by 18.
18x/18=36/18
x=2
The amount of money invested in a retirement fund is an example of which of the following?
a. investment asset
b. liquid asset
c. long term asset
d. use asset
answer: investment asset e2020
Answer:
A.
Step-by-step explanation:
Retirement funds are not liquid assets. You fund them with investment assets. However, Roth IRA's and 401 (k) are not assets in the traditional sense. It may be confusing, but the way they grow is by investments. The answer is A.
The amount of money invested in a retirement fund is an example of an investment asset. which is the correct answer would be an option (A)
What is an Investment?An Investment is defined as an asset or object purchased with the intention of generating income or appreciation is referred to as an investment. The term "appreciation" describes a rise in an asset's worth over time. When a person buys a product as an investment, they don't intend to utilize it right away; instead, they plan to use it to make money later on.
An investment always entails the expenditure of some capital today—time, effort, money, or an asset in the anticipation of receiving a larger return than what was first invested.
Investment portfolios are not movable property. They are financed by investments. One type of investing asset is the amount of money invested into a retirement fund.
Hence, the amount of money invested in a retirement fund is an example of an investment asset. which is the correct answer would be an option (A)
Learn more about an Investment asset here:
https://brainly.com/question/23611837
#SPJ2
is 1 1/2 a rational number?
yes. It would be an irrational number if it didn't repeat in a pattern.
hope it helps comment if u have any questions
Answer:
Yes.
Step-by-step explanation:
Yes 1 [tex]\frac{1}{2}[/tex] is a rational number because because it can be converted to a decimal, which is 1.5
Help please TYSM IF YOU DO!
Answer:
I think it is mean
Step-by-step explanation:
because mean would be the average of the scores
Answer: The mean
Step-by-step explanation:
The mean will show the average of the teams scores.
How do you write.09 in words?
Answer:
zero point 9
0 and nine tenths
Step-by-step explanation:
If 4 times a number is 156, then 1/3 of the number is
Answer:
[tex]\huge\boxed{\sf \frac{x}{3} = 12}[/tex]
Step-by-step explanation:
Let the number be x
4x = 156
Dividing both sides by 4
x = 36
Dividing both sides by 3
[tex]\frac{x}{3}= \frac{36}{3}[/tex]
[tex]\frac{x}{3} = 12[/tex]
if x and 3x are linear pair then find the value of x.
Answer:
x = 45°
Step-by-step explanation:
x + 3x = 180°
--> 4x = 180°
--> x = 180 / 4 = 45°
Step-by-step explanation:
x+3x=180 (sum of linear pair=180)
or, 4x =180
or, x = 180/4
therefore x =45
the sum of two numbers is 58. The larger number is 22 more than the smaller number. What are the numbers?
What is the average density of a laptop?
The segment with endpoints (-1,4) & (2,8) has a distance of
Answer:
5
Step-by-step explanation:
(X1,Y1) = (-1,4)
(X2,Y2) = (2,8)
Solve for x 9x - 1 = -11
Answer:
x=[tex]-\frac{10}{9}[/tex]
Step-by-step explanation:
We start by moving the constant to the right. In this case -1 (it becomes positive 1).
9x=-11 +1
9x= - 10
divide 9 by both sides.
x=- [tex]\frac{10}{9}[/tex]
Solve the following equation: 3x - 7 = 9 + 2x.
A)12
B)16
c)20
d)24
Answer:
Option B
Step-by-step explanation:
[tex]3x - 7 = 9 + 2x\\\\3x-7+7=9+2x+7\\\\3x = 9 + 7 + 2x\\\\3x=16+2x\\\\3x-2x=16+2x-2x\\\\\boxed{x=16}[/tex]
Hope this helps!
34+987=what please help
Answer:
1021
Step-by-step explanation:
i added 34 +987 and got 1021
A coin flipped 10 times and the results is recorded. What is the probability of getting exactly 5 tails?
Answer:
50%
Ste50p-by-step explan%ation:
Simplify: 5m (5m* +5m -4)
A 10m +10m² + m
B 10m + 10m + m
25m + 25m-20m
D 25m + 25m-20m
Seven is part of all of the following sets of numbers except
O irrational numbers
O integers
O rational numbers
natural numbers
Answer:
Seven isn't part of the set of irrational numbers.
Step-by-step explanation:
Seven and the Set of all Natural NumbersStart with the smallest set among the choices. The set of all natural numbers, [tex]\mathbb{N}[/tex], starts with [tex]0[/tex] (or [tex]1[/tex], for some people.) A number [tex]n[/tex] is in [tex]\mathbb{N}\!\!\![/tex] (write [tex]n \in \mathbb{N}[/tex]) if and only if [tex](n - 1)[/tex] is in [tex]\mathbb{N}\![/tex]. Conversely, if [tex]n\![/tex] is indeed in [tex]\mathbb{N}\!\!\!\!\![/tex], then [tex](n + 1)[/tex] would also be in [tex]\mathbb{N}\!\!\!\!\!\!\![/tex]. For [tex]7[/tex]:
[tex]1 \in \mathbb{N} \implies 2 \in \mathbb{N}[/tex].
[tex]\vdots[/tex].
[tex]6 \in \mathbb{N} \implies 7 \in \mathbb{N}[/tex].
Therefore, [tex]7[/tex] is indeed in the set of all natural numbers.
Seven and the Set of all IntegersSimilarly, a number [tex]n[/tex] is in the set of integers, [tex]\mathbb{Z}[/tex], if and only if either [tex](n - 1)[/tex] or [tex](n + 1)[/tex] is (or both are) in [tex]\mathbb{Z}\!\![/tex].
Conversely, if a number [tex]n[/tex] is in [tex]\mathbb{Z}[/tex], then both [tex](n - 1)[/tex] and [tex](n + 1)[/tex] will be in [tex]\mathbb{Z}\![/tex].
It can be shown in a similar iterative way that [tex]7 \in \mathbb{Z}[/tex].
Alternatively, consider the fact that the set of all natural numbers, [tex]\mathbb{N}[/tex], is a subset of the set of all integers, [tex]\mathbb{Z}[/tex]. Therefore, [tex]7 \in \mathbb{N}[/tex] implies that [tex]7 \in \mathbb{Z}[/tex].
Seven and the Set of all Rational NumbersA number [tex]m[/tex] is a member of the set of all rational numbers [tex]\mathbb{Q}[/tex] if and only if there exists two integers [tex]p[/tex] and [tex]q[/tex] such that:
[tex]\displaystyle m = \frac{p}{q}[/tex].
[tex]1[/tex] and [tex]7[/tex] are both integers. If [tex]p = 7[/tex] and [tex]q = 1[/tex], then [tex]\displaystyle 7 = \frac{7}{1} = \frac{p}{q}[/tex]. Hence,
Alternatively, note that the set of all integers, [tex]\mathbb{Z}[/tex], is a subset of the set of all rational numbers, [tex]\mathbb{Q}[/tex]. Therefore, the fact that [tex]7 \in \mathbb{Z}[/tex] would imply that [tex]7 \in \mathbb{Q}[/tex].
Seven and the Set of all Irrational NumbersA number is in the set of all irrational numbers if and only if:
this number is in the set of all real numbers, andthis number is not in the set of all rational numbers. (Hence "irrational.")Therefore, the fact that [tex]7[/tex] is a rational number implies that it is not an irrational number.
Answer:
irrational numbers
Step-by-step explanation:
Solve the equation for y
the answer is C). y= 1/4x + 2
Round 10.999244792948 to the nearest whole number
Answer:
11
Step-by-step explanation:
1. Listing Information
The number is 10.999244792948.
Simply put, numbers below 5 are rounded down and numbers that are greater than or equal to five are rounded up.
The tenths place value in 10.999244792948 is 9.
2. Solving the Problem
With the previous information in mind, 9 is greater than 5. Because of this, 10.999244792948 should be rounded to 11.
2/5 divided 1/2 as a unit rate
Answer:
2/5 divided 1/2 as a unit rate .what do you mean
Please answerrr I need help with hw and I still can't solve this!!!
The answer would be 16 all you have to do is multiply the length by the width which is 2 and 8.
G(n) = n^2 +4n find g(2)
Answer:
12
Step-by-step explanation:
G(2)= 2^2 +4(2)
Solve via order of operations
G(2)=4 +8
G(2)=12
108 ÷ 9 x (-12) ÷ 6 - (100 ÷ 5)
Answer:
-44
Step-by-step explanation:
108 ÷ 9 x (-12) ÷ 6 - (100 ÷ 5)
= 108 ÷ 9 x (-12) ÷ 6 - (20)
= 12 x (-12) ÷ 6 - (20)
= -144÷ 6 - (20)
= -24 - (20)
= -44
-5/6 + 1/4 = is what???
Please help th points is 100...
Answer:
-7/12
Step-by-step explanation:
Find common denominators. Note that what you do to the denominator, you do to the numerator.
Set the common denominator to 12:
(-5/6)(2/2) = -10/12
(1/4)(3/3) = 3/12
Combine the terms:
-10/12 + 3/12 = 3/12 - 10/12 = -7/12
-7/12 is your answer.
~
Nathan is stocking bathrooms at the hotel where he works. he has 18 rolls of toilet paper and 9 bars of soap. if he wants all bathrooms to be stocked identically, with the same combination of supplies in each one and nothing left over, what is the greatest combination of bathrooms Nathan can stock
K(h-j)+10’ if h= 7, j=-8, and k=5
Answer:
49
Step-by-step explanation:
5(7-8)+10
49
it's equals 49
During a sale, 20-cent candy bars were sold at 3 for 50 cents. How much is saved on 9 bars?
Answer:
Step-by-step explanation:
$0.30
Step-by-step explanation:
1 bar of candy = $0.20
3 bars of candy = $0.50
To solve, multiply for both:
If you pay for each candy bar individually, they each cost $0.20. Multiply 9 with 0.20:
9 x 0.20 = $1.80
If you pay for the candy bars by 3's, they cost $0.50 each pack. Divide 9 with 3, then multiply by 0.50:
9/3 = 3
3 x 0.50 = $1.50
Subtract the total cost of the individual from the pack:
$1.80 - $1.50 = $0.30
. $0.30 is your answer.
Which question relates to setting a long-term financial goal?
Choose the correct answer below.
A.
When would I like to buy a new car?
B.
How much does it cost to buy a movie ticket and snacks at the theater?
C.
On which day of the month is my credit card bill sent out?
D.
What is the late payment fee on my car loan?
Answer to this PLEASE GOD BLESS YOU
Answer:
the answer to this question is b
Evaluate f (x) = 2x – 13 for f (x) = 9, x =
Answer:
11
Step-by-step explanation:
f(x) = 2x - 13
9 = 2x - 13 Add 13 to both sides
9 + 13 = 2x Add the left
22 = 2x Divide by 2
22/2 = x
x = 11