Jesse is in a lab examining sizes of skin cells. Cell A has a diameter of 5.8 × 10 ^-9 mm. Cell B has a diameter of 4.2 × 10 ^-7 mm.

How much longer is the diamter of Cell B than Cell A?

A. 1.6 x 10 ^-2

B. 1.6 x 10 ^-16

C. 4.14 x 10 ^-7

D. 4.14 x 10 ^-9

Answers

Answer 1

Answer:

The diameter of Cell B is [tex]4.14 \times 10^{-7} mm[/tex] longer than Cell A

Step-by-step explanation:

Diameter of Cell A = [tex]5.8 \times 10^{-9} mm[/tex]

Diameter of Cell B = [tex]4.2 \times 10^{-7} mm[/tex]

Now we are supposed to find How much longer is the diameter of Cell B than Cell A?

So,Diameter of Cell A =[tex]5.8 \times 10^{-9} = 5.8 \times 10^{-7} \times 10^{-2}=5.8 \times 10^{-7} \times \frac{1}{10^2} = 0.058 \times 10^{-7}[/tex]

Diameter of Cell B = [tex]4.2 \times 10^{-7} mm[/tex]

So, Difference in diameters = [tex]4.2 \times 10^{-7} - (0.058 \times 10^{-7})=4.14 \times 10^{-7}[/tex]

So, Option C is true

Hence the diameter of Cell B is [tex]4.14 \times 10^{-7} mm[/tex] longer than Cell A


Related Questions

Za and Zb are complementary angles. Za measures 22º.
What is the measure of Zb?

Answers

Answer:

b = 68

Step-by-step explanation:

Complementary angles add to 90 degrees

a+b = 90

22+b = 90

Subtract 22 from each side

b = 90-22

b = 68

Answer:

68 degrees

Step-by-step explanation:

Complementary Angles: The sum of the angles is 90 degrees.

If angle a is 22 degrees, then...

a + b = 90

22 + b = 90

22 - 22 + b = 90 - 22

b = 68

That means that the measure of angle b is 68 degrees.

I hope this helps! Have a great day!

Please answer the question stated below

Answers

Answer:

2968

Step-by-step explanation:

First make 112% into a decimal, now its 1.12, add all the scooters' sales from all years and multiply by 1.12 then add that number to the total sales of the scooters

Answer:

725 + 579 + 696 = 2000 (What a coincidence)

112% = 112 / 100 = 1.12

Multiply the increase

2000 x 1.12 = 2240

2240 is the amount of scooters sold.

Step-by-step explanation:

Help me ASAP i always give brainliests, and thanks i need u!
Please answer the following not complicated question on finding x

Answers

Answer:

4. [tex]11.333...[/tex]

Answer:

Answer is  (4) -11.333

Step-by-step explanation:

multiply : 2x /12-4/3= 4x /15 -1/5

bring variable on one side :

2x/12 -4x/15= 4/3 - 1/5

common denominator : -6x/60=17/15

simplify : -x/10= 17/15

x= - 170/15= -11.3333

Solve the inequality. Graph the solution set. 23 + 156 > 5(3b + 1)

Answers

Answer:

b<58/5

Step-by-step explanation:

-12 + 7 would it be 5 -19 - 5 or 19​

Answers

Hi there!

The answer would be C. -5

Hope this helps !

Step-by-step explanation:

-12 +7

=-5 .

Therefore, 5-19-5

= -19.

In all, -12+7 can not be 5-19 or 19

Josh has $9.00. Bagels cost $0.70 each and a small container of cream cheese cost $2.50. What is the greatest number of bagels Josh can buy if he buys one small container of cream cheese?

Answers

Answer:

Josh's 9.00

Bagel cost 0.70

Ice cream 2.50

9.00–2.50=6.50

6.50

[tex]6.50 \div 0.70 7[/tex]

=10

Which of these triangle pairs can be mapped to each other using a reflection and a translation?
OL
A
R
K
K
Q
A
P
R

Answers

Answer: The first one

Step-by-step explanation:

It is being reflected over the x axis and It is translated

A fair spinner A is spun 7 times. What is the probability of getting “Green” at least 5 times if there are 8 colors separated equally?

Answers

Answer:

[tex]6\frac{2}{3}[/tex]

Step-by-step explanation:

OK, so basically I'm pretty sure that you add all of them together and put it as a fraction over 3 so basically  [tex]\frac{20}{3}[/tex] then simplify it into [tex]6\frac{2}{3}[/tex]

Rewrite the expression with rational exponents as a radical expression by extending the properties of the integer exponents

Answers

Answer:

C

Step-by-step explanation:

[tex]\frac{y^{3/4} }{y^{1/2} }[/tex]   Original expression

[tex]y^{\frac{3}{4}-\frac{1}{2} }[/tex]   Division Property of Exponents

[tex]y^{\frac{3}{4}-\frac{2}{4} }[/tex]   Find a common denominator (4)

[tex]y^{\frac{1}{4} }[/tex]   Simplify

[tex]\sqrt[4]{y}[/tex]   Rewrite as a radical expression (an exponent of 1/4 is equivalent to the 4th root of the expression)

Please help me with this

Answers

Answer:

Bottom left

Step-by-step explanation:

For it to be scalene, all 3 sides must be of different length, so cross off D. Acute means all angles are less then 90°, so cross off the top 2.

The Bottom left triangle is both acute and scalene

Which is the most efficient way to solve this equation?
8=48


Add 8
8 to both sides of the equation.


Divide both sides of the equation by 48



Divide both sides of the equation by 8


Nothing. The equation is already solved




Don't guess please :(

Answers

Divide both sides of the equation by 8

A. 180
B.82
C. 46
D. 98

Please answer help me

Answers

Answer:

D

Step-by-step explanation:

Because the angle with measure 82 and angle 1 are corresponding angles, their angles measure must be equal, and therefore angle 1 has measure of 82 as well. Since angles 1 and 2 are a linear pair, they must be supplementary, and angle 2 is therefore 180-82=98 degrees. Hope this helps!

[tex]answer = 98 °\\ solution \\ < 1 = 82(being \: corresponding \: angless) \\ < 1 + < 2 = 180(sum \: of \: angle \: in \: straight \: line) \\ or \: 82 + < 2 = 180 \\ or < 2 = 180 - 82 \\ < 2 = 98° \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

what is 15 divided by 82?

Answers

82 ÷ 15 = 5.4

Mixed number form: 5 ⁷/₁₅

Answer:

the answer is 5.4

Step-by-step explanation:

Write an equation of the line in slope-intercept form.
The line passing through (0, 1) and (-4,5)

Answers

Answer:

y=-x+1

Step-by-step explanation:

Paul drives 728 miles in 14 days.

He drives the same number of miles each day.

How many miles does he drive in 1 day?

Answers

In one day he drives 52 miles
52 miles a day !!!!

If f(x) = 3x - 12, what is f(2)?
O A. -6
O'B. 6
O c. 18
O D. -18
Helppp mee plzzz

Answers

Answer:

f(2) = -6

Step-by-step explanation:

f(x) = 3x - 12

Let x =2

f(2) = 3*2 -12

     = 6-12

       = -6

PLZ I need help, it's URGENT!

I don't know if my answers for problems 1-3 are correct, can someone help me please. Thx

Answers

#2 is correct 10x+35

Which function has a negative discriminant value? On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (1, negative 16), and goes through (5, 0). On a coordinate plane, a parabola opens up. It goes through (negative 3, 5), has a vertex at (negative 1.5, 2.75), and goes through (0, 5). On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (0, 4), and goes through (2, 0). On a coordinate plane, a parabola opens down. It goes through (negative 1, negative 4), has a vertex at (3, 0), and goes through (5, negative 4).

Answers

Answer: On a coordinate plane, a parabola opens up. It goes through (negative 3, 5), has a vertex at (negative 1.5, 2.75), and goes through (0, 5).

Step-by-step explanation: this is the one with a negative discriminant value

Answer:

iTS BBBB

Step-by-step explanation:

Just did it.

answer asap please ! ill give brainliest

Answers

I don't know, sorry. :(

the median is 5! hope this helps

A sector of a circle whose radius is 4 centimeters, has a central angle of 30 Which of the following. which of following represents the area of this sector in square centimeters?
(1). 12π/5
(2). 8π/15
(3). 4π/3
(4). 6π/5



Answers

Answer:

area of the sector  =4π/3  cm²

Step-by-step explanation:

To find the area of the sector, we will follow the steps below;

first write the formula for finding area of a sector

area of a sector = Ф/360  ×  πr²

where r is the radius

from the question given

Ф= 30       and radius = 4 centimeters

we can proceed to insert the values into he formula above

area of a sector = Ф/360  ×  πr²

                             =30/360  ×π×4²

                             =1/12 ×π×16

                             =16π /12

                              =8π/6

                             =4π/3

area of the sector  =4π/3  cm²

A motorboat travels 50 miles downstream in a river, then turns around and travels back to its starting point. The total trip takes 8 hours. The rate of the current in the river is 2miles per hour. Remembering that distance = rate x time, what is the rate of the motorboat in calm water? HELP NEEDED ASAP
A. 0.31 miles per hour
B. 2.08 miles per hour
C. 12.5 miles per hour
D. 12.8 miles per hour

Answers

Answer:

The speed of the boat in calm water is 12.8 miles per hour.

Step-by-step explanation:

While going downstream the speed of the boat is "x + 2", where x is the speed in calm water, while going upstream the speed of the boat is "x - 2". He made a trip that had two legs, each with a distance of 50 miles, therefore, the sum of the times it took him to complete each leg must be equal to the total time of the trip.

[tex]speed = \frac{distance}{time}\\\\time = \frac{distance}{speed}[/tex]

For the upstream:

[tex]time_{up} = \frac{50}{x - 2}[/tex]

For the downstream:

[tex]time_{d} = \frac{50}{x + 2}[/tex]

The sum of each of these times must be equal to "8 h", therefore:

[tex]8 = time_{up} + time_{d}\\\\8 = \frac{50}{x - 2} + \frac{50}{x + 2}\\\\8 = \frac{50*(x+2) + 50*(x - 2)}{(x-2)*(x+2)}\\\\8*(x-2)*(x+2) = 50*x + 100 + 50*x - 100\\\\8*(x^2 - 4) = 100*x\\\\8*x^2 - 100*x - 32 = 0\\\\x^2 - 12.5*x - 4 = 0\\\\x_{1,2} = \frac{-(-12.5) \pm \sqrt{(-12.5)^2 - 4*(1)*(-4)}}{2}\\\\x_{1,2} = \frac{12.5 \pm \sqrt{156.25 + 16}}{2}\\\\x_{1,2} = \frac{12.5 \pm \sqrt{172.25}}{2}\\\\x_{1,2} = \frac{12.5 \pm 13.124}{2}\\\\x_1 = 12.812\\\\x_2 = -0.312[/tex]

Since the speed can't be negative in this context, the only possible answer is 12.812 mph.

Answer:

12.8

Step-by-step explanation:

How does the graph show that the rate of change is constant?

Answers

A graph has a constant rate of change when the graph is linear and portrays a straight line. The slope will remain constant which forms the straight line in the graph.

Answer:

Because it is a straight line

Step-by-step explanation:

If it changed there would be curves, points, corners, zig zags, since this is straight, that means the R.O.C commonly known as slope, is not changing

I hope this helps u!

Pls give brainliest i had 40 down to 1 for no reason and a thx ;)

I always thank those who give me brainliest via their profile and comments

Joshua uses his thermometer and finds the boiling point of ethyl alcohol to be 75 degrees Celsius. He looks in a reference book and finds that the actual boiling point of ethyl alcohol is 80 degrees Celsius. What is his percent error?

Answers

Answer:

6.25%

Step-by-step explanation:

75 - 80 = -5

Absolute value of -5 is positive so -5 = 5

5 ÷ 80 = 0.0625 (1/16)

0.0625 × 100 = 6.25%

Joshua's percent error is 6.25%

Just took this it’s 6.25%

What is the value of x? Enter your answer in the box.

Answers

Explanation

The sum of the three angles of a triangle has to be equal to 180 degrees.

So...
180-(75+50)
180-125
=55 degrees

X equals 55 degrees

PLZZ HELPP Why is it important to simplify rational expressions before multiplying or dividing? How do you determine that a rational expression is in simplest form? Compare the process to addition and subtraction.

Answers

Answer:

"Simplifying rational expressions will make the further calculations easier since the variables to work with will usually be smaller.

To determine that a rational expression is in simplest form we need to make sure that the numerator and the denominator have no common variables."

Step-by-step explanation:

please be neat and will mark brain.;)

Answers

Answer:

the one with 47:is 43

the one with 52 is 38

the one with 63 is 27

and the one with 45 is 45

Step-by-step explanation:

these angles equal to 90

so you must subtract them from 90

Answer:

5: x=43

6: x=38

7: x=27

8: x=45

Please help I really need this answer since I am preparing for my nationals

Will give branliest if it is correct.​

Answers

Answer:   [tex]\bold{a)\ \overline{CD}=6\qquad b)\ \overline{AD}=\dfrac{32}{3}\qquad c)\ \overline{AC}=\dfrac{50}{3}\qquad d)\ \overline{OB}=\dfrac{25}{3}}[/tex]

Step-by-step explanation:

a) First, use the Pythagorean Theorem to find CD:

8² + (CD)² = 10²     →     CD = 6

d) Next, find OB.  Notice that both OB and OC are the radius of the circle.

Using the Segment Addition postulate, we know the radius (r) = CD + DO  →  DO = r - 6

Use the Pythagorean Theorem for ΔOBD to find OB:

(DO)² + (BD)² = (OB)²

(r - 6)² + 8² = r²

r² - 12r + 36 + 64 = r²

   -12r + 100        = 0

             100        = 12r

              [tex]\dfrac{25}{3}\quad = r[/tex]              

c) Now, find AC. Notice that AC is the diameter.

Diameter = 2r

               = 2(OB)

               [tex]=2\bigg(\dfrac{25}{3}\bigg)\qquad =\dfrac{50}{3}[/tex]  

b) Lastly, find AD. Using the Segment Addition Postulate, we know that

AD + CD = AC   →   AD = AC - CD

                                      [tex]= \dfrac{50}{3}-6\qquad \rightarrow \quad \dfrac{50}{3}-\dfrac{18}{3}\qquad =\dfrac{32}{3}[/tex]

whar does it mean that one object has more density than the other object.
pls i need this it is due in not long i put 31 pts for who answers pls.​

Answers

Density is determined by an object's mass and volume. If two objects take up the same volume, but have one has more mass, then it also has a higher density. ... It is about how heavy something is compared to the same amount (volume)

Question 5
3+7(2-5)+4
-26

Answers

The right answer is -14

please see the attached picture for full solution

Hope it helps

Point M divides AB such that AM:MB = 1:4. If A has coordinates (-4, 3) and B has coordinates (6, 8). What are the coordinates of M?

Answers

Answer:

Coordinates of M = [tex]\left ( -2,4 \right )[/tex]

Step-by-step explanation:

Given: AM:MB = 1:4, A has coordinates (-4, 3) and B has coordinates (6, 8)

To find: coordinates of M

Solution:

According to section formula, if M(x, y) divides line joining points [tex]A(x_1,y_1)\,,\,B(x_2,y_2)[/tex] in ratio [tex]m:n[/tex] then coordinates of point M are [tex]\left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )[/tex]

Put [tex]A(x_1,y_1)=(-4,3)\,,\,B(x_2,y_2)=(6,8)\,,\,m:n=1:4[/tex]

Therefore,

[tex](x,y)=\left ( \frac{6-16}{1+4},\frac{8+12}{1+4} \right )=\left ( -2,4 \right )[/tex]

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