A species of phytoplankton measures about 2 × 10−6 in. A grain of sand measures about 1 × 10−4 in. About how many times longer is the grain of sand than the phytoplankton?

Answers

Answer 1

Answer : The grain of sand is 50 times greater than the phytoplankton.

Step-by-step explanation :

As we are given that:

Size of phytoplankton = 2 × 10⁻⁶ in

Size of sand grain = 1 × 10⁻⁴ in

Now we have to determine how many times longer the grain of sand is than the phytoplankton.

We are dividing the sand grain size by the phytoplankton size.

This can be done by equating it as follows:

[tex]\frac{\text{Size of sand grain}}{\text{Size of phytoplankton}}=\frac{1\times 10^{-4}in}{2\times 10^{-6}in}[/tex]

[tex]\frac{\text{Size of sand grain}}{\text{Size of phytoplankton}}=50[/tex]

Therefore, the grain of sand is 50 times greater than the phytoplankton.


Related Questions

Point G is on line segment FH. Given GH = 8, FH = 3x + 3, and FG = 2x,
determine the numerical length of FG.

Answers

Answer:

10

Step-by-step explanation:

Powers of 10 with negative exponents:
less than 1
greater than 1

Answers

Answer:

less than 1

Step-by-step explanation:

Dividing by 3 is the same as multiplying by 1/3. True or false

Answers

Answer:

this is true!

Step-by-step explanation:

its true lnfao.

Answer:

Step-by-step explanation:no different

Work your brain this evening y'all!! I had $3.00. My Mom gave me $10.00. My Dad Gave me $30.00. My Aunt & Uncle gave me $100.00. I had another $7.00. How much did I have?

Answers

Answer:

150 i think

Step-by-step explanation:

rectangular room is 15 feet long and 12 feet wide.a . How many feet of baseboard are needed to reach around the room? (Ignore door openings.) b . How many one-foot-square tiles are needed to cover the floor

Answers

P= 2l + 2w
P= 2(15) + 2(12)
P = 30 + 24
P = 54
You will need 54 ft baseboard

A= LxW
A= 15x12
A= 180
You will need 180 one foot square tiles


If a point (5.2) is rotated counterclockwise 90° about the origin, its image will be point

Answers

Answer:

(-5.-2)

Step-by-step explanation:

I hope this helps u

Answer: (-2,5)

Step-by-step explanation:

90 degrees counter clockwise= (x,y)->(-y,x)

If you were to spin a spinner at right, what would be the probability of landing on a green or purple?

Answers

Answer:

2/3 probability or 66%

Step-by-step explanation:

hope this helps!!

What is the formula for the volume of a cylinder

Answers


The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm

Jim is twice as old as his sister. If s isthe sister's age, what is the sum of their ages?

Answers

Answer:

3s

Step-by-step explanation:

Given:

Jim is twice as old as his sister.

His sister's age is signified by the variable s.

∴ Jim's age is 2s.

You are trying to find the sum of both their ages, or add them together:

2s + s

Simplify. Combine like terms:

2s + s = 3s

3s is the expression you will use to find the sum of their ages.

7x − 3(x − 1) = 2(2x + 3)

Answers

Answer:

no solution

Step-by-step explanation:

FAIpQLSDODAao9u4Y1tCopNRMLxSthe8ht18w
16) 14x –9y=-25
7x – y=-30​

Answers

Answer:

what

Step-by-step explanation:

The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one.

Plot point C(2,7). If M is the midpoint of CD , what are the coordinates of D?

Answers

Answer:

The coordinates of D is (-4,-9)

Step-by-step explanation:

Given

C = (2,7)

M=(-1,-1)  ----- Missing part of question

Required

Determine the coordinates of D

Let the coordinates of D be (x₂,y₂)

We'll solve this question using mid point formula;

[tex]M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Where

[tex]C(x_1,y_1) = (2,7)[/tex]    and     [tex]M(x,y) = (-1,-1)[/tex]

Put these values in the formula

[tex](-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})[/tex]

By comparison;

[tex]-1 = \frac{2+x_2}{2}[/tex]  and [tex]-1 = \frac{7+y_2}{2}[/tex]

[tex]-1 = \frac{2+x_2}{2}[/tex]

Multiply both sides by 2

[tex]-2 = 2 + x_2[/tex]

Subtract 2 from both sides

[tex]-2 -2 = x_2[/tex]

[tex]x_2 = -4[/tex]

[tex]-1 = \frac{7+y_2}{2}[/tex]

Multiply both sides by 2

[tex]-2 = 7 + y_2[/tex]

Subtract 7 from both sides

[tex]-2 - 7 = y_2[/tex]

[tex]y_2 = -9[/tex]

Hence, the coordinates of D is (-4,-9)

Graph the image of the given triangle after the transformation with the rule (x, y)→(x−1, y+2). Select the "Polygon" button from the tool bar to plot your triangle. You may use the "Move" button to move the triangle after it is created.

Answers

Answer:

Just took the test

Step-by-step explanation:

The triangle by transformation with the rule (x, y)→(x−1, y+2) gives a triangle with vertices (-3,0), (6,5), and (3,7) and has been graphed.

How to plot a graph?

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

The transformation of the given triangle by rule  (x, y)→(x−1, y+2) will

result in an increment of all y's values by 2 and a decrement of x's by 1.

(-2,-2) →  (-3,0)

(7,3) →  (6,5)

(4.5) → (3,7)

Hence "The triangle by transformation with the rule (x, y)→(x−1, y+2) gives a triangle with vertices (-3,0), (6,5), and (3,7)".

For more information about the graph of a function

brainly.com/question/27757761

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In a two-step equation, you should take care of multiplication and division before addition and subtraction.

Answers

i’m not sure if this is a question, but yes, i like to use “PEMDAS”.
Parentheses, exponents, multiply, divide, add, subtract.
You always go in order from left to right!

If point Cis between points A and B, then AC + CB =
A. BC
B. ABC
C. AB
D. CA​

Answers

Answer:

C  AB

Step-by-step explanation:

When, point C is between points A and B,

Then, AC + CB = AB

What is mean by Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

A point C is between points A and B,

Now, When point C is between points A and B,

Then, We get;

⇒ AC + CB = AB

Thus, When, point C is between points A and B,

Then, AC + CB = AB

Option C is true.

Learn more about the addition visit:

https://brainly.com/question/25421984

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What is the domain of the
quadratic parent function y=x2?

Answers

Answer:

[tex]\Large \boxed{\mathrm{All \ real \ numbers}}[/tex]

Step-by-step explanation:

[tex]y=x^2[/tex]

The domain are the set of all possible values for x.

There are no restrictions on the value of x.

The domain is all real numbers.

PLz help 20 POINTS ASAP

Answers

Answer:

2, 1, 3, 4

Step-by-step explanation:

For future reference:

Make all the numbers (accept for the second one) into a common form. For example a decimal.

For the first one, it will simplify into 3/2 since both 9 and 4 can be easily rationalized.

The second can't be written as a decimal, but it will easily become the least greatest number.

The third is already a decimal and the fourth could just be divided 5/3 using a calculator.

From there you'll have

1.5, /5, 2.5, and 1.67

Answer:

1: 9/4

2: 5/3

3: 2.5

4. 5

Step-by-step explanation:

the square root of 9/4 is 1.5

5/3 = 1.6

2.5

and the square root of 5 is 2.23

Which ordered pairs make the open sentence true?

5x- y > 12
Select all the correct answers.
(3, 4)
(4, 9)
(1, – 8)
- (0, – 10)
(-1, – 17

Answers

Answer:

(1, -8)

Step-by-step explanation:

5(1) - (-8) =  5 + 8

= 13.

An ordered pair is represented by (x,y). The ordered pair that makes the sentence 5x- y > 12,  true is (1,-8)

Given that:

[tex]5x - y > 12[/tex]

First, we test each option

[tex](a)\ (3,4)[/tex]

So, we have:

[tex]5 \times 3 - 4 > 12[/tex]

[tex]15 - 4 > 12[/tex]

[tex]11 > 12[/tex] ---- This is false

[tex](b)\ (4,9)[/tex]

So, we have:

[tex]5 \times 4 - 9 > 12[/tex]

[tex]20 - 9 > 12[/tex]

[tex]11> 12[/tex] --- This is false

[tex](c)\ (1,-8)[/tex]

So, we have:

[tex]5 \times 1 --8 > 12[/tex]

[tex]5 +8 > 12[/tex]

[tex]13 > 12[/tex] --- This is true

[tex](d)\ (0,-10)[/tex]

So, we have:

[tex]5 \times 0--10 > 12[/tex]

[tex]0+10>12[/tex]

[tex]10>12[/tex] ---- This is false

[tex](e)\ (-1,-17)[/tex]

So, we have:

[tex]5 \times -1 --17 > 12[/tex]

[tex]-5 +17 > 12[/tex]

[tex]12 > 12[/tex] --- This is false

Hence, the ordered pair that makes [tex]5x - y > 12[/tex], true is: [tex](c)\ (1,-8)[/tex]

Learn more about ordered pair at:

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The quotient of a number and 3 is -8. Find the number.

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 24}}}}}[/tex]

Step-by-step explanation:

Let the number be 'x'

[tex] \sf{ \frac{x}{3} = - 8}[/tex]

Apply cross product property

[tex] \dashrightarrow{ \sf{x = - 8 \times 3}}[/tex]

Multiplying positive and negative integers gives a negative integer

[tex] \dashrightarrow{\sf{x = - 24}}[/tex]

Hope I helped!

Best regards! :D

Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below: He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make? Check all that apply. He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make?

Answers

Answer: the correct answer is A and D

Step-by-step explanation:

Just answered the question.

Answer:

He used an incorrect time ratio converting hours to minutes.

He incorrectly concluded that she is not running fast enough.

Step-by-step explanation:

Got it right on edg

QS¯¯¯¯¯¯¯ bisects ∠PQR . If m∠PQS = 5x and m∠RQS = 2x + 6, then what is m∠PQR ? m∠PQR is

Answers

Answer:

[tex]PQR = 20[/tex]

Step-by-step explanation:

Given

Bisector: QS

[tex]PQS = 5x[/tex]

[tex]RQS = 2x + 6[/tex]

Required

Determine PQR

Since PQR is bisected to PQS and RQS, we have that

[tex]PQS = RQS[/tex]

Substitute expressions for PQS and RQS

[tex]5x = 2x + 6[/tex]

Collect Like Terms

[tex]5x - 2x = 6[/tex]

[tex]3x = 6[/tex]

Divide both sides by 3

[tex]x = 2[/tex]

Solving for PQR;

[tex]PQR = PQS + RQS[/tex]

[tex]PQR = 5x + 2x + 6[/tex]

[tex]PQR = 7x + 6[/tex]

Substitute 2 for x

[tex]PQR = 7 * 2 + 6[/tex]

[tex]PQR = 14 + 6[/tex]

[tex]PQR = 20[/tex]

I just need the answer thanks. D is 57 ouces if you can't see it​

Answers

Answer:

c) 20 ounces

Step-by-step explanation:

C. 20 ounces__________

Write the equation for a line in slope-intercept form (y=mx+b) that
is parallel to y = -2x + 3 and passes through the point (-3,5).

Answers

Answer:

y = -2x - 1

Step-by-step explanation:

Parallel lines have the same slope, so the slope will also be -2.

Plug this slope and the given point into the equation y = mx + b and solve for b:

y = mx + b

5 = -2(-3) + b

5 = 6 + b

-1 = b

Then, plug this and the slope into the equation:

y = -2x -1 will be the equation

16. Construct 3 equations starting with x = 5.

Answers

TO FIND: construct 3 equation starting with x=5?

SOLUTION:

The equation is in the form of variable and constant equating.

Let the equation be x=5.

TO CREATE AN EQUATION,

FIRST WE ADD 5 BOTH SIDe,

x + 5=5+5

=x + 5=10

SECOND WE SUBRACT 5 BOTH SIDE,

x — 5=5—5

=x—5=0

THIRD WE MULTIPLY 5 BOTH SIDE,

5x=5×5

=5x=25

well u got the answer!

Brody’s family took a road trip to the Grand Canyon. Brody fell asleep 65% of the way through the trip. If 35 sleep after they have travel 390 miles, what was the total length of the trip?

Answers

Answer:

Total length of the trip = 600 miles

Step-by-step explanation:

Given:

Distance travel during sleep = 65%

Distance travel during sleep = 390 miles

Find:

Total length of the trip

Computation:

Total length of the trip = Distance travel during sleep [100 / 65]

Total length of the trip = 390 [100 / 65]

Total length of the trip = 600 miles

What is 0.57 x 1000?​

Answers

Answer:

570

Step-by-step explanation:

When we are multiplying anything by 10, we are multiply by the base ten rules.

If that is the case, then when we multiply 0.57 by 1000, we move the decimal place 3 times to the right.

We should get 570 as our answer.

Answer:

570

Step-by-step explanation:

.

For what value of the variable will the expression 8b−27 be equal to the following:
5

Answers

Answer:

We need to find the value of b to make 8b - 27 be equal to 5, so:

8b - 27 = 5

We solve the equation:

8b = 5 + 27

8b = 32

We divide both sides by 8:

b = 32/8 = 4

So now, we know that b=4, and we can verify:

8*4 - 27 = 5

32 - 27 = 5 TRUE

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slader The logarithmic equation is a nonlinear regression equation of the form ya. The accompanying data are the shoe sizes and heights​ (in inches) of men. Graphs of the regression line and the logarithmic equation are also provided. Which equation is a better model for the​ data? Explain.

Answers

Answer:

The graphs and the table is missing in the question.

Step-by-step explanation:

The guidelines for interpreting correlation  co-efficient r are :

1. Strong correlation    0.7<|r|≤1

2. Moderate correlation   0.4<|r|<0.7

3. Weak correlation   0.2<|r|<0.4

4. No correlation  0≤|r|<0.2

Logarithmic regression

(i). Mean : [tex]$ {\overset{-}{ln}x} = \frac{\sum ln x_i}{n}, \ \ \ {\overset{-}y} = \frac{\sum y_i}{n} $[/tex]

(ii) Trend line : [tex]$ y = A +B \ln x, \ \ B = \frac{S_{xy}}{S_{xx}}, \ \ A={\overset{-}y-B{\overset{-}{\ln x}}}$[/tex]

(iii). Correlation coefficient : [tex]$ r = \frac {S_{xy}}{\sqrt{S_{xx}} \sqrt{S_{yy}}} $[/tex]

[tex]$ S_{xx} = \sum (\ln x_i - {\overset{-}{\ln x}})^2 = \sum (\ln x_i)^2-n. ({\overset{-}{\ln x}})^2$[/tex]

[tex]$ S_{yy} = \sum(y_i - {\overset{-}y})^2 = \sumy_i^2 - n. {\overset{-}y^2}$[/tex]

[tex]$ S_{xy} = \sum(\ln x_i - {\overset{-}{\ln x}})(y_i-{\overset{-}y}) = \sum \ln x_i y_i - n. {\overset{-}{\ln x}}{\overset{-}y} $[/tex]

Now using the technology we can calculate

The equation of the regression curve is y = A + B(lnx)

we get A = 30.72 , B = 17.19

The equation of regression curve is [tex]$ \hat y$[/tex] = 30.72 + 17.19(lnx)

-6f + 2s + 3 - 8 use f = 9 and s = 6

Answers

Answer:

-47

Step-by-step explanation:

-6(9) + 2(6) + 3 - 8

-54 + 12 + 3 - 8

-42 + 3 - 8

-39 - 8

-47

Hey guys I’m really stressful but here the question

Y=2x

Here the pic ⬆️

Answers

X | Y
-1 | -2
0 | 0
1 | 2
2 | 4

You would just multiply everything by two because in this case Y equals two X
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