Answer:
a) 1.8 × 10^-12 cm³ or 1.8 × 10^-12 cubic meters
b) 7.1 × 10^-6 mm² or 7.1 × 10^-6 square millimeters
Step-by-step explanation:
a) We are assuming that the shape of the bacteria is a sphere.
Hence, Volume of the Sphere(Bacteria) = 4/3 × π × r³
Diameter = 1.5 μm
Radius = Diameter/2 = 1.5μm/2
= 0.75μm
We are told that the volume should be in cubic centimeters
Converting 0.75μm to centimeters
1 μm = 1 × 10^-4 cm
0.75 μm =
Cross Multiply
= 0.75 μm × 1 × 10^-4 cm/ 1 μm
= 0.000075cm
Volume of the Sphere(Bacteria) = 4/3 × π × r³
= 4/3 × π × (0.000075)³
= 1.767145867 × 10^-12 cm³
Approximately as 2 significant figures = 1.8 × 10^-12 cm³
b) The formula for the Surface area of a Sphere = 4πr²
Diameter = 1.5 μm
Radius = Diameter/2 = 1.5μm/2
= 0.75μm
We are told that the surface area should be in square millimeters
Converting 0.75μm to millimeters
1 μm = 0.001 mm
0.75 μm =
Cross Multiply
= 0.75 μm ×0.001mm/ 1 μm
= 0.00075mm
Surface Area of a Sphere
= 4 × π × r²
= 4 × π × 0.00075²
= 7.06858 ×10^-6 mm²
Approximately to 2 significant figures
= 7.1 × 10^-6 mm²
What's wrong with this problem. 2(n+3) = 2n +3
Answer:
The wrong is while using Distributive property we have to use on both sides here it is only done in one place
2(n+3)=2n+6
2. Eleanor Raymond works full time while her husband, Peter, attends college and works part
time. Their income for the last two weeks consisted of an August 17 paycheck of Eleanor's for
$380.48, $16.50 for a birthday present Peter returned on August 19, Peter's paycheck on
August 21 for $120.00, Peter's sale of some of his college textbooks on August 23 for $13.65,
and a check from Peter's father for $100.00 that arrived August 25. Record and total Eleanor
and Peter's income for this two-week period.
Answer:
Eleanor and Peter's total income
= $597.63
Step-by-step explanation:
Eleanor's Income:
Paycheck = $380.48
Eleanor's Expenses:
Birthday gift= $16.50
Peter's income
Paycheck = $120
Sales of his college textbook = $13.65
Check from Peter's father= $100
Peter's total income =Paycheck + Sales of his college textbook + Check from Peter's father
= $120 + $13.65 + $100
= $233.65
Eleanor and Peter's total income
= Eleanor's Income + Peter's total income - Eleanor's Expenses
= $233.65 + $380.48 - $16.50
= $597.63
Eleanor and Peter's total income
= $597.63
Find the solution set. |x| = -4 A. { } B. {-2, 2} C. {-4, 4} D. {-16, 16}
Answer:
A. { }
Step-by-step explanation:
Absolute value cannot be less than zero.
-4 < 0
There is no solution for x, ∈, R.
Hope this helps.
PLEASE HELP !
The equation x-7/2=-11 is solved in several steps below. For each step , choose the reason that best justifies it
Answer:
1. Muliplication Property of Equality
2. Simplifying
3. Addition Property of Equality
4. Simplifying
Step-by-step explanation:
First, get x-7 by itself by multiplying 2 on both sides. Simplify both sides to get x-7=-22. Add 7 to both sides to get x by itself to get x=-15.
Can you see ninths? How many lemon cookies will you eat if you eat 4/9 of the cookies?
Answer: well this really depends on how many cookies were there in the first place if there was 9 you would have eaten 4 if there was 18 you would have eaten 8.
write the sentence as an equation
z is the same as a more than 252
Answer:
it depends on what ur multipling
-5x^5+35x^4-30x^3 can someone help me pls
Answer:
if im correct -5^3
Step-by-step explanation:
Helpppppppppppppppppppp pleaseeeeeeeeeeeeee
Answer:
ok
Step-by-step explanation:
what
please answer thank you!
Answer:
D
Step-by-step explanation:
Distribute:
6x - 2 = 15
Answer:
It's D. 6x-2=15
Step-by-step explanation:
Just distribute(multiply) the 1/5 to 30 and -10.
Hope this helps
evaluate the power 15 to the second power
Answer:
225
Step-by-step explanation:
[tex]15^{2}[/tex]
15×15
225
A recipe for 24 cookies requires 1/2 cups of sugar. If Ben wants to make 36 cookies, how much sugar does he need?
Answer:
3/4 cups
Step-by-step explanation:
Answer:
2 1/4 cups
Step-by-step explanation:
Hope this helps.
The body of a 154-pound person contains approximately milligrams of gold and milligrams of aluminum. based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body?
This question is incomplete
Complete Question
The body of 154-pound person contains approximately 2 x 10^-1 milligrams of gold and 6 x 10^1 milligrams of aluminum.
Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body?
Answer:
300 times
Step-by-step explanation:
From the above question, we are told:
The body of 154-pound person contains approximately 2 x 10^-1 milligrams of gold and 6 x 10^1 milligrams of aluminum.
We create a proportion
2 × 10^-1 mg of gold : 6 × 10^1 mg of aluminum
= 0.2 mg of gold : 60 mg of aluminum
Therefore, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body is calculated as:
60mg ÷ 0.2 mg
= 300
Therefore, the number of milligrams of aluminum in the body is 300 times the number of milligrams of gold in the body
Two cruise ships left the same port. After two hours, Ship A is 30 miles west and 18 miles north of the port and Ship B is 10 miles west and 27 miles south of the port. If there is a tug boat located one-fifth of the way from Ship A to Ship B, find the location of the tug boat relative to the port.
Answer:
30.83 miles
Step-by-step explanation:
Distance of ship A from port is x
X²= 18²+30²
X²= 324+900
X²=1224
X=34.9857 miles
Bearing from port
Tan tita= 18/30
Tita = tan^-1 3/5
Tita= 31°
N 31° E
Distance of ship B from port is y
Y²= 27²+10²
Y²= 729+100
Y²= 829
Y=28.7924 miles
Bearing from port
Tan tita= 2.2
Tita= 69.7°
90-69.7= 20.3
N 20.3°W
Distance between the two ships is z
Z²=34.9857²+28.7924²-2(24.9857)(28.7924)cos(31+69.7°)
Z²= 2053+267.1
Z²= 2320.1
Z=48.18 miles
One fifth of 48.18
=9.63 miles
Distance of the boat is D
D/sin 60 = 34.9857/sin 100.7
D=30.83 miles
If the expanded form is 2 x 2 x2 x 3 x 3 x 5 x 7 what is the exponential form
Answer:
2^3 * 3^2 * 5*7
Step-by-step explanation:
2 x 2 x2 x 3 x 3 x 5 x 7
We have 3 2's multiplied together
2^3
2 3's multiplied together
3^2
one 5 and one 7
2^3 * 3^2 * 5*7
Find and simplify each of the following for fx = 6x -3. (A) f(x+ h) (B) f(x +h) - f(x) (C) f(x + h) - f(x)/h
Answer:
A
[tex]f(x+ h) = 6x + 6h -3[/tex]
B
[tex]f(x+ h) - f(x) = 6h[/tex]
C
[tex]\frac{f(x + h) - f(x)}{h} = 6[/tex]
Step-by-step explanation:
From the question the given equation is
[tex]f(x) = 6x -3[/tex]
Considering A
[tex]f(x+ h) = 6(x + h) -3[/tex]
=> [tex]f(x+ h) = 6x + 6h -3[/tex]
Considering B
[tex]f(x+ h) - f(x) = 6x +6h -3 - (6x-3)[/tex]
[tex]f(x+ h) - f(x) = 6h[/tex]
Considering C
[tex]\frac{f(x + h) - f(x)}{h} = \frac{6h}{h}[/tex]
[tex]\frac{f(x + h) - f(x)}{h} = 6[/tex]
A football field is 120 yards by 53.333 yards. What is the area of the football field in acres if 1 acre=43560 ft?? Use correct
significant figures when answering this question.
Answer:
The area of the pitch in an acre is 1.32 acreStep-by-step explanation:
This problem requires to test our understanding of unit conversion, and we are expected to present our answer in an acre
first, let us convert from the yard to feet
given that the dimension of the pitch is
120 yards by
53.333 yard
1 yard is 3 foot
120 yards will give x
cross multiply we have
x1= 120*3
x1= 360 feet
also the second dimension is
x2= 53.333*3
x2= 159.999
x2= 159.999 feet
the area of the pitch is
area= 159.999*360
area= 57599.64 ft^2
Note: an acre is a unit for land area (1 acre=43560 ft^2)
if 1 acre = 43560 ft^2
x acre = 57599.64 ft^2
cross multiply we have
x acre = 57599.64/43560
x acre = 1.32 acre
Fill in the blank with either E or Enot to make the statement true.35_{2, 17, 21, 35} Choose the correct symbol below.a. Eb. E not
Answer:
Step-by-step explanation:
Fill in the blank with either E (true statement) or E NOT (false statement).
Series: 2, 17, 21, 35, _
The answer is (B) E NOT because the statement is untrue.
This is because of the absence of numerical flow in the series.
Marvin wages are
for moving 480 crates at a piecework rate of $1.50 per crate.
$720
O $150
None of these
$481.50
$320
Answer:
The answer to your question is 320
Complete this expression using the distributive property: 5(4 + 8) =
Explanation: The distributive property tells us when there's a number outside a set of parenthses, you can multiply it times each of the terms that are inside the set of parenthses and then add those products together.
So in this problem, we can multiply 5(4) + 5(8)
which simplifies to 20 + 40 which equals 60.
Answer:
5(4) + 5(8)
Step-by-step explanation:
Just trust me :D
What type of move takes Figure A to Figure B ?
Answer:
Step-by-step explanation:
Solve for x. x/3≤−6 A. x≥−18 B. x≤−18 C. x≥−2 D. x≤−2
Answer:
Step-by-step explanation:
x/3 ≤ -6
x ≤ -18
answer is B
Answer:
B
Step-by-step explanation:
it is simple easy..first you have to through your 3 become times with -6,then you have your answer
f(x) = 2x+4
g(x) = x - 7
h(x)=9-x
Find
f(g(x))
Greetings from Brasil...
We have here a composite function.... Where there is X in function F(X), we will replace by G(X)
F(X) = 2X + 4
G(X) = X - 7
H(X) = 9 - X
F(X) = 2X + 4
F(G(X)) = 2·(GX) + 4
F(G(X)) = 2·(X - 7) + 4
F(G(X)) = 2X - 14 + 4
F(G(X)) = 2X - 10.........................................................................
see more:
https://brainly.com/question/17280519
If two acute angles are added together then the result is an obtuse angle.
True
False
In a two-tailed hypothesis test the test statistic is determined to be Z = -2.5. The p-value for this test is:_______
a. 0.0062
b. -1.25
c. 0.4938
d. 0.025
e. 0.0124
Answer:
e. 0.0124
Step-by-step explanation:
Given that:
In a two-tailed hypothesis test, the test statistic is determined to be Z = -2.5
The p-value for this test can be determined from the Z tables at Z = -2.5
Using the EXCEL FUNCTION ( = NORMDIST (-2.5) )
Since the hypothesis is two-tailed, then;
The p-value = 2 × (= NORMDIST (-2.5))
The p-value = 2 × 0.00620
The p-value = 0.0124
The EXCEL FUNCTION computation can be seen in the attached file below.
I need help I’m confuse
Answer:
5. y=-1 (the line of reflection)
6. 90 degrees CCW
7. move the figure 4 units right
8. Increase or multiply the figure by two...
Step-by-step explanation:
7.(add 4 to every x value) and 6 down (subtract 6 from every y-value)
8.J is 2 units up and one unit left of the origin so you'd multiply it by 2 so that it is 4 units up and 2 units left of the orgin. Repeat this for every point of the triangle
Given an odd function, which of the following transformations would result in an odd function? Check all that apply.
horizontal translation
reflection across the x-axis
vertical stretch
vertical translation
Answer:
Vertical stretch and reflection across the x axis
Step-by-step explanation:
Vertical stretch and reflection across the x-axis are the odd functions.
What is a vertical stretch?Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1. This results in the graph being pulled outward but retaining the input values (or x). When a function is vertically stretched, we expect its graph's y values to be farther from the x-axis.
What is a vertical reflection over the x-axis?Another transformation that can be applied to a function is a reflection over the x– or y-axis. A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis.
Learn more about Vertical stretch here: brainly.com/question/13671886
#SPJ2
A nut mixture consists of almonds and cashews
Answer:
Mixed nuts are a snack food consisting of any mixture of mechanically or manually combined nuts. Peanuts, almonds, walnuts, Brazil nuts, cashews, hazelnuts. Mixed nuts may be salted, roasted, cooked, or blanched. I hope this helps you with your...nut problem .-_-.
how many hours does a owl monkey that lived 27 years get in its lifetime
Answer:236,520 hours
Step-by-step explanation:
You multiply the years(27) times the number of days in one year(365) which equals 9,855 and then you multiply that by the number of hours in a day(24) so it equals 236,520.
please help me with this
Answer:
the answer to your question is 7/4
round 1980 to near hundred
answer :
2000
explanation :
When rounding to the nearest hundred, you need to use the following rules:
1 ) Round the number up to the nearest hundred if the last two digits in the number are 50 or above. The last two digits are "80" which is higher than 50, therefore you will round up, making 2000 your answer.