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Mrrafil [7]
2 years ago
3

A football field is 160ft wide. Convert the width to yards. Write your answer as a mixed number

Mathematics
2 answers:
pishuonlain [190]2 years ago
5 0

Answer:

the answer is 53 1/3

Step-by-step explanation:

multiply 160ft by 1yd/3ft (cancel out ft)

it then gives you 160/3yd then divide

it then gives you 53 1/3 yd

Leona [35]2 years ago
4 0

The answer to this question is 53.333 yards.

your welcome

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9. The average diameter of an atom is 2 x 10-8 m. What if the average diameter of an atom was 1 cm? How tall would you be?
ozzi

Answer:

You'd be 2 * 10^{-6} times tall

Step-by-step explanation:

Given

Represent the previous and new diameter by D1 and D2;

D_1 = 2 * 10^{-8}m

D_2 = 1\ cm

To determine how tall you'd be, we need to divide D2 by D1;

Ratio = \frac{D_2}{D_1}

Substitute values for D2 and D1

Ratio = \frac{2 * 10^{-8}m}{1\ cm}

Convert cm to m

Ratio = \frac{2 * 10^{-8}m}{1 * 0.01\ m}

Ratio = \frac{2 * 10^{-8}m}{0.01\ m}

Convert denominator to exponents

Ratio = \frac{2 * 10^{-8}m}{10^{-2}\ m}

Ratio = \frac{2 * 10^{-8}}{10^{-2}}

Apply Law of indices

Ratio = 2 * 10^{-8} * 10^2

Ratio = 2 * 10^{-8+2}

Ratio = 2 * 10^{-6}

Hence;

<em>You'd be </em>2 * 10^{-6}<em> times tall</em>

4 0
2 years ago
What do the symbols of mirrors and glass represent in this
luda_lava [24]

Question:

Read the excerpt from Julius Caesar, act 1, scene 2.

CASSIUS: ‘Tis just; And it is very much lamented, Brutus, That you have no such mirrors as will turn Your hidden worthiness into your eye, That you might see your shadow. I have heard 5 Where many of the best respect in Rome– Except immortal Caesar‐speaking of Brutus, And groaning underneath this age’s yoke, Have wished that noble Brutus had his eyes.

BRUTUS: Into what dangers would you lead me, Cassius, 10 That you would have me seek into myself For that which is not in me?  

CASSIUS: Therefore, good Brutus, be prepared to hear. And since you know you cannot see yourself So well as by reflection, I, your glass, 15 Will modestly discover to yourself That of yourself which you yet know not of.

Answer:

The correct choice is D)

Explanation:

Cassius speaks of Brutus as one who is unable to see or know his own value and presumes to help him therewith. He does this by pointing out that many of the well respected people in Rome wish that he were in Caesars shoes as King.

Cheers!

7 0
2 years ago
A machine needs 2 of its gears replaced. You find 2 gears, one manufactured 5 years ago and the other manufactured 10 years ago.
Tcecarenko [31]
Probability that gear 1 will fail = 5/100 (upto 10 years) 
and 8/100 (after 10 years)

Probability that both will fail = 5/100 * 8/100
= 40/10000
= 0.4 %

8 0
2 years ago
In the box, complete the first 4 steps for graphing the quadratic function given. (Use ^ on the keyboard to indicate an exponent
Vaselesa [24]
Step 1: convert the equation into fhe vertex form

To do you can complete squares:

y = - [x^2 + 4x + 3]

y = - [ (x + 2)^2 - 4 + 3]

y = - [ (x + 2)^2 - 1] = - (x+2)^2 + 1

Then the vertex is (-2, 1)

Now you can drasw the vertex


Step 2: Find the roots (zeros)

y = - [ (x + 2)^2 - 1] = 0

(x + 2)^2 - 1 = 0

(x+2)^2 = 1

(x+2) = (+/-) √1

x + 2 = (+/-1)

x = - 2 +/- 1

x = -1 and x = -3

Now you draw the points (-1,0) , (-3,0)

Step 3: find the interception with the y-axis.

That is y value when x = 0

y = - (0)^2 - 4(0) - 3 = -3

Then draw the point (0, -3)

Step 4: given that the coefficent of x is negative (-1) the parabola is open downward.

So, with those four points: vertex (-2,1), (-1,0), (-3,0) and (0,-3), you can sketch the function.
7 0
2 years ago
Rank the following quantities in order of decreasing volume. rank from highest to lowest volume. to rank items as equivalent, ov
Anastasy [175]
This should be the data:

1ML 
<span>100L </span>
<span>5 million nL </span>
<span>1GL </span>
<span>50 mL </span>
<span>1cL </span>
<span>1mL 
</span>
Below is the answer:

the conversion into litres are next to the order of volume. 
<span>1. 1GL (10^9) </span>
<span>2. 1ML (10^6) </span>
<span>3. 100L (100) </span>
<span>4. 50mL (50*10^-3)=0.05 </span>
<span>5. 1cL (10^-2) </span>
<span>6. 5 million nL [(5*10^6)*(10^-9)]=0.005 </span>
<span>7. 1mL (10^-3) </span>
5 0
2 years ago
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