1) A microbiologist measures the length of a bacterium of 0.000163 m and the

length of yeast as 0.0087 mm.

a) Which is longest? (Hint: Both must be the same units)

b) How much longer is the longer specimen than the shorter specimen?

Answers

Answer 1

Answer:

a) The bacterium is longer;

b) The bacterium is 0.1543 mm longer than the yeast.

Step-by-step explanation:

In order to compare the length of the two beings we need to convert them to the same unit. We can do it either way, but we'll choose to convert from meters to milimetres, since we're dealing with small numbers. To do that we need to multiply the length that is in "m" by 1000.

[tex]length_{bac} = 0.000163*1000 = 0.163 \text{ mm}[/tex]

a) The bacteria is longer than the yeast.

b) We need to subtract their length in order to find this answer:

[tex]\text{dif} = length_{bac} - length_{yeast}\\\text{dif} = 0.163 - 0.0087 = 0.1543 \text{ mm}[/tex]


Related Questions

Which of the following is the measure of an acute angle?
A. 126
B. 86°
C. 90°

Answers

Answer:

b

Step-by-step explanation:

an acute angle is an angle that is smaller than 90 degrees.

if the angle is exactly 90 degrees, then it is a right angle.

anything larger than 90 degrees is considered to be an obtuse angle.

Hope this helps for other questions like this as well!

Angle 86° is less than 90°. Then the angle of 86° will be an acute angle. Then the correct option is B.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

The types of angles are as follows:

If the measure of the angle is less than 90°, then the angle is an acute angle.

If the measure of the angle is equal to 90°, then the angle is a right angle.

If the measure of the angle is greater than 90°, then the angle is an obtuse angle.

Angle 86° is less than 90°. Then the angle of 86° will be an acute angle. Then the correct option is B.

More about the angled link is given below.

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Which of the following are characteristics of the graph of the quadratic parent
function?
Check all that apply.
O A. It has a slope of 1.
O B. It goes through the origin.
C. It is a parabola.
D. It is in quadrants I and II.

Answers

Answer:

B, C, and D

Step-by-step explanation:

of this form is y = x2. The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II. This graph is known as the "Parent Function" for parabolas, or quadratic functions.

The graph of the quadratic parent function is:

A. It is a parabola.

B. It is in quadrants I and II.

What is Function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

To check the characteristics of the quadratic parent function,

let us take the basic quadratic function : y = x²

Below is a graph for this parent quadratic function:

Currently, as shown on the graph below:

Basic parabola, that is. Moreover, the quadratic function's graphs typically have the shape of a parabola.

The graph is located in quadrants I and II.

So. These can only be the features of the quadratic parent function's graph.

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Need help with this question

Answers

Answer:

700

Step-by-step explanation:

100+600. = 700 total points

Answer:

700

Step-by-step explanation:

100 + 600 =700 total

Hellllp someone please

Answers

Answer:

296

Explanation:

To solve this problem, subtract 128 from 424.

424 - 128

296

Therefore, Jacobs total score is 296 after he loses 128 points from 424 points.

Answer: 296 points

Step-by-step explanation:

424 - 128 = 296

which statement best describes the function below? \f(x)=2x^2-3x+1

Answers

Answer:

what are the two answers?

What is the explicit formula for the sequence?
7, 2, –3, –8, –13, . . .

Answers

Answer: Choice A,  [tex]a_n = -5n+12[/tex]

===========================================================

Explanation:

[tex]a_1 = 7[/tex] is the first term

[tex]d = -5[/tex] is the common difference, telling us to add -5 to each term to get the next term. This is the same as subtracting 5 from each term

The nth term of the arithmetic sequence is,

[tex]a_n = a_1 + d(n-1)\\\\a_n = 7 + (-5)(n-1)\\\\a_n = 7-5(n-1)\\\\a_n = 7-5n+5\\\\a_n = -5n+12\\\\[/tex]

----------------

As a check, let's plug in n = 4 and we should get -8 as our fourth term

[tex]a_n = -5n+12\\\\a_4 = -5(4)+12\\\\a_4 = -20+12\\\\a_4 = -8\\\\[/tex]

so that confirms that portion of the sequence. I'll let you check the other values.

Inductive reasoning is when someone uses lots of data to make a conjecture

A. True
B. False

Please answer this I need help now

Answers

The answer to that question is true

The answer to that question is true.

We have given that,

Inductive reasoning is when someone uses lots of data to make a conjecture.

What is the Inductive?

Inductive is most often used to describe a kind of reasoning or logic where general theories are formed from specific examples or incidents.

We have to determine whether the statement is true or false.

The answer to that question is true.

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BC⎯⎯⎯⎯⎯ is parallel to DE⎯⎯⎯⎯⎯. What is AC? Enter your answer in the box. 34 units A triangle with vertices labeled as A, D, and E. Side D E is the base and the top vertex is A. Sides A D and A E contain midpoints B and C, respectively. A line segment is drawn from point B to C. Side A B is labeled as 8. Side B D is labeled as 10. Side C E is labeled as 15.

Answers

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE, then angles D and B are congruent and angles C and E are congruent as well. This means that triangles ABC and ADE are similar by the AAA (or AA) similarity theorem.

We know that similar triangles are in proportion. This means that [tex]\frac{AC}{AE} = \frac{AB}{AD}[/tex]

Now, we can plug the values given into that equation:

[tex]\frac{x}{x+15} = \frac{8}{18}[/tex]

Now, cross multiply:

18x = 8(x + 15)

Now, we can simplify this equation and solve for x, or AC.

18x = 8x + 120

Subtract 8x from both sides:

10x = 120

Divide both sides by 10:

x = 12

Hope this helps!

Answer:

AC: 12

Step-by-step explanation:

Find three consecutive integers that sums to 15. Show your equation and all work.​

Answers

Answer:

4, 5, 6

Step-by-step explanation:

Represent the first number by x.  Then the next two consecutive integers are x + 1 and x = 2.  

THEN x + x + 1 + x + 2 = 15, WHICH REDUCES TO 3x + 3 = 15.

Then 3x = 12, and x = 4.

The consecutive integers are 4, 5 and 6.

if (4,5) is on the graph of a function what is the equation

Answers

Answer:

4 × 5 = 20

Step-by-step explanation:

Imagine this: the X is 4 and the Y is 5.

You want to find the area of it, so the equation would be

4 × 5 = 20

HOPE THIS WAS HELPFUL!!!!

question in attachment

Answers

Answer:

1. a= 7, A = 49 degrees

Side A = 7 , Side B = 24, Side C = 25

A= 49 degrees, C = 90 degrees , B=41

2. A= 4, B = 6.9, C=8

A= 22 degrees, B = 68, C= 90

3. A= 7, B = 14.4, C=16

A= 45 , B=45  , C=90

What is the domain of the function on the graph?

Answers

Answer:

D: [-3, ∞)

Step-by-step explanation:

The x values go from -3 to infinity

The domain is the set of valid x values.   That's all real numbers -3 and up, last choice.

A line passes through the point (–7, 5) and has a slope of One-half. Which is another point that the line passes through?
A. (–13, 9)
B. (–9, 13)
C. (9, 13)
D. (13, 9)

Answers

Answer:

C. (9, 13)

Step-by-step explanation:

y = mx + b

y = (1/2)x + b

(-7, 5)

5 = (1/2)*(-7) + b

5 = - 7/2 + b

b = 5+ 7/2 = 10/2 + 7/2 = 17/2

y = (1/2)x + 17/2

C. (9, 13)

13 = (1/2)*9 + 17/2

13 = 26/2

13=13  True

Answer:

It is C (9,13)

Step-by-step explanation:

took the test on edge

The figure shown represents the pattern of a glass ceiling. Based on the markings shown, which triangles can be proven congruent? answers: A) ΔQNI ≅ ΔNPK by SSS B) ΔJKL ≅ ΔNKP by SSA C) ΔJKL ≅ ΔNKP by AAS D) ΔPNK ≅ ΔIKN by SAS

Answers

Answer:

D) ΔPNK ≅ ΔIKN by SAS

Step-by-step explanation:

The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

In this case, the congruent sides are IK with NP and NK with itself. And the included angle is ∠K in ΔIKN and ∠N in ΔPNK.

Answer:

answer is C PNK=IKN by SAS

Is this statement true or false? 600 meters = 6 hectometers

Answers

Answer:

true

Step-by-step explanation:

hectometer is 100 meters,

thus 6 hectometers is equal to 600 meters, and the statement is true

If a line has a slope of 2 and contains the point (-2,1), what is its equation in point-slope form?
A. y+ 2 = -2(x-1)
B. y-1 = 2(x-2)
C. y-2 = -2(x-1)
D. y- 1 = 2(x+2)

Answers

The equation for slope is y=mx+b. slope is m. 2 is the slope. so you know the m part of the equation is 2. just by eliminating the answers that don’t have 2 as the slope, A is your answer.

Help please! Will give brainly! Take a look at the figure below, which is made up of many small squares. How does each expression (A-D) represent the number of small squares in the figure? Explain?

Answers

Answer:

Step-by-step explanation:

A: Take 8*6 which build a rectangle, then take out 2*3 squares to create the same shape as in the picture

B: split the shape into two pieces, so one rectangle has the sides 4 and 8 and the rectangle has 2 and 5. Multiply the 4 with 8 and 2with 5 then add them together

C: Add the amount of squares in a layer one by one together

D: split the shape into 2 rectangles but instead of a horizontal split, do a vertical split so first rectangle has the sides 5 and 6 and the other has 3 and 4. Multiply 5 with 6 and 3 with 4 and add both results together

you may have to change the english a bit since english is not my first language

please help! thanks in advance

Answers

Answer:

58500,72000

Because 65% and 80% of 90000 results in these answers

Select two ordered pairs that satisfy the function y = –4x – 1.

Answers

X = -0.25 and x = -2^-2
I’m not sure if this helps

Answer:

(-0.25,0) and (0,-1)

Step-by-step explanation:

I used a graphing calculator.

Put function the the calculator

then ind two points on the function and that is your answer

Which equation has a k-value of -5? A y=5x+3 B y=5x+5 C y=3x−5 D y=−5x

Answers

Answer:

NANI!?5

Step-by-step explanation:

If (x – 13) is one factor of x^2– 9x – 52, the other factor is

Answers

The answer would be (x+4)
If you use the quadratic formula, you will find that the answer is (x+4)

Help I being asking for help for weeks

Answers

Answer:

The last option

Step-by-step explanation:

Mainly because its not exactly word for word what was said but instead it was paraphrased and changed to still have the same information.

How many triangles???

Answers

Answer:

4

Step-by-step explanation:

The triangle itself

Also the 3 at the top

They are the only ones with 3 sides

Answer:

9 triangles

Step-by-step explanation:

Declan needs euros to go on holiday. He can buy 46 euros for £40. How much will 805 euros cost at the same rate?

Answers

Answer:

700 pounds

Step-by-step explanation:

if 46 euros cost 40 pounds

then 805 euros will cost 805 multiplied 40

whatever answer you get divide it by 46

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this
triangle?
5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 9 cm
Save and Exit
Next
Submit
Mark this and retum

I NEED HELP ASAPPP!!!!!

Answers

Answer: 8 cm and 9 cm

Explanation: 8+9=17 and 17 is greater than 13. Remember, given a triangle, the sum of the lengths of any two sides must be greater in length than the third side.

Answer:

it must be 8cm + 9 cm

Step-by-step explanation:

A Triangel has three sides: a, b, c

The rule is, that in the triangle it is always:

a+b>c

a+c>b

b+c>a

The given side is 13 cm, so the two other sides need to be bigger than 13 cm.

5 cm + 8 cm = 13 cm - cannot be the two sides

6 cm + 7 cm = 13 cm - cannot be the two sides

7 cm + 2 cm = 9 cm < 13 cm - cannot be the two sides

8 cm + 9 cm = 17 cm > 13 cm - these are the sides you looked for!

x + 13 = 7x+1
Solve for x and show steps

Answers

x + 13 = 7x+1

Subtract x from both sides:

13 = 6x +1

Subtract 1 from both sides:

12 = 6x

Divide both sides by 6:

x = 2

Answer:

x=2

Step-by-step explanation:

x+13=7x+1

6x=12

x=2

Line segment AB is the diameter of circle C. If the endpoints of the diameter are (3, -4) and (7,2), what are the coordinates of the center of the circle

Answers

Answer:

(5, -1)

Step-by-step explanation:

You find the center of both the coordinates. For the x axis: 3+7 = 10. 10/5=2. For the y axis: -4+2=-2. -2/2 = -1. Put them together and get the answer! :)

Can you help me please. Hint it's not 18!!!!!✌✌

Answers

Answer:

14

Step-by-step explanation:

15 × 2 = 306 × 2 = 12That gives you 5/15 remaining for the 30/35 which is 1/31/3 of six is 2that would be 12 + 214 would be the amount of red paint needed

Answer: it is b

Step-by-step explanation: because you are trying to find the total of red paint

The value of x in 3(x+5)=12

Answers

Answer:

x=-1

Step-by-step explanation:

3(x+5)=12

Step 1: Simplify both sides of the equation.

3(x+5)=12

(3)(x)+(3)(5)=12(Distribute)

3x+15=12

Step 2: Subtract 15 from both sides.

3x+15−15=12−15

3x=−3

Step 3: Divide both sides by 3.

3x

3

=

−3

3

x=−1

Answer:

x = -1

Step-by-step explanation:

3(x+5)=12

Divide each side by 3

3/3(x+5)=12/3

x+5 = 4

Subtract 5 from each side

x+5-5 = 4-5

x = -1

Which missing piece of information would allow the triangles in the figure to be proven congruent by AAS? answer: A) ∠C ≅ ∠L B) ∠B ≅ ∠K C) cb ≅ lk D) ab≅ jk

Answers

Answer:

B) ∠B ≅ ∠K

Step-by-step explanation:

The Angle-Angle-Side Postulate (AAS) states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Given that ∠A ≅ ∠J and AC ≅ JL, then we need that ∠B ≅ ∠K to satisfy postulate AAS (the two angles are ∠A and ∠B in one triangle and ∠K and ∠J in the other one, and the non-included side is AC in one triangle and JL in the other one).

Answer:

A) ∠C ≅ ∠L

Step-by-step explanation: I took the test

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