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xenn [34]
1 year ago
11

On the first day of an experiment, a scientist counts 31 bacteria. On the eighth day of the experiment, the count is 310,000 bac

teria.
How many times greater is 310,000 than 31?

A. 310,000
B. 10,000
C. 1,000
D. 31
Mathematics
1 answer:
MAVERICK [17]1 year ago
8 0
It’s b 10000 because if you multiply 31 times 10000 it 310,000
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What is the range of possible sizes for side x?<br><br><br> 8.8
eduard

Answer:

The size of side x can range from 0.5 < x < 16.5.

The size of side x cannot take on values 0 and 16.5, but it ranges between those two values for side x to complete a triangle with those two other sides.

Step-by-step explanation:

Complete Question

What is the range of possible sizes for side x? One Side is 8.5 the other is 8.0.

Solution

With the logical assumption that the three sides are to form a triangle

Let the two sides given be y and z

And the angle between y and z be θ

The angle θ can take on values from 0° to 180° without reaching either values.

As θ approaches 0°, (x+z) becomes close to equaling y. (x + z) < y

It can never equal y, because θ can never be equal to 0°, if a triangle is to exist.

Hence, x > (z−y)

x > 8.5 - 8.0

x > 0.5

As θ approaches 180°, x approaches the sum y+z, θ can never equal 180° if a triangle is to exist, so x never equals (y+z).

Hence x < (y+z)

x < 8 + 8.5

x < 16.5

Hope this Helps!!!

3 0
2 years ago
Dianne knows a phone call a friend for the first 3 minutes costs 25 cents and 10 cents for each additional minute
dlinn [17]

Question:

Diane knows a phone call to a friend costs .25 for the first three minutes and .10 for each additional minute. Let y be the cost of a call that lasts x minutes. Write the slope and an equation relating x and y.

Answer:

Slope  =  0.10 or  \frac{1}{10}\\

Equation relating x and y is y =  0.10x- 0.05

Step-by-step explanation:

Given:

Cost for first three minutes  = 0.25 cents

Cost for each additional minute = 0.10 cents

To Find:

The slope and an equation relating x and y = ?

Solution:

Let y be the cost of a call that lasts x minutes

Then,

y = 0.25 + 0.10(x-3)

y = 0.25 + 0.10x- 0.30

y =  0.10x- 0.05-------------------(1)

In the equation

y = mx +b------------------------------(2)

m is the slope

Comparing eq(1) and(2)]

m =0.10 or  \frac{1}{10}\\

3 0
3 years ago
HELP ME OUT HERE PLEASEEEEEEEEE
icang [17]

Answer:

2nd option

Step-by-step explanation:

2 3/8-1 3/10

19/8-13/10

190/80-104/80

86/80

43/40

1 3/40

6 0
3 years ago
A fair coin is flipped 10 times. What is the probability that exactly 4 of the 10 flips come up heads
kifflom [539]

105/2^9

Step-by-step explanation:

The probability of getting a head in a single toss

p=12

The probability of not getting a head in a single toss

q=1−12=12

Now, using Binomial theorem of probability,

The probability of getting exactly r=4 heads in total n=10 tosses

=10C4(1/2)4(1/2)10−4

=10×9×8×7/4! 1/2^4 1/2^6

=2^44⋅9⋅35/24(2^10)

=105/2^9

5 0
2 years ago
Read 2 more answers
Which of the following is a solution of x2 + 5x = −2? (2 points) 5 plus or minus the square root of 33 divided by two. 5 plus or
Delicious77 [7]
The easiest way it to solve it.
{x}^{2}  + 5x + 2 = 0
You have
\rho = 25 - 4 \times 1 \times 2 = 17
Thus
x =  \frac{ - 5 \pm \sqrt{17} }{2}
5 0
3 years ago
Read 2 more answers
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