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3 years ago

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a phone company offers two monthly plan. plan a costs $30 plus an additional $0.14 for each minute of calls. plan b costs $8 plu

s an additional $0.18 for each minute of calls.

1 answer:

Inessa05 [86]3 years ago

4 0

What’s the question

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The probability that you roll a two on a six-sided die is 1/6. If you roll the die 60 times, how many twos can you expect to rol

jek_recluse [69]

Multiply the number of times you are going to roll by the probability.
60*1/6=10

You can expect to roll a two 10 times.

Hope this helped!

4 0

3 years ago

A colony of 21,300 bacteria doubles in size every 260 hours. What will the population be 520

bonufazy [111]

Answer:

85,200

Step-by-step explanation:

21,300*2=42,600

42,600*2 = 85,200

7 0

3 years ago

The line $y = 3$ intersects the graph of $y = 4x^2 + x - 1$ at the points $A$ and $B$. The distance between $A$ and $B$ can be w

raketka [301]

Answer:

61

Step-by-step explanation:

Let's find the points $A$ and $B$ .

We know that the $y$ -coordinates of both are $3$ .

So let's first solve:

$3=4x^2+x-1$

Subtract 3 on both sides:

$0=4x^2+x-1-3$

Simplify:

$0=4x^2+x-4$

I'm going to use the quadratic formula, $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , to solve.

We must first compare to the quadratic equation, $ax^2+bx+c=0$ .

$a=4$

$b=1$

$c=-4$

$\frac{-1 \pm \sqrt{1^2-4(4)(-4)}}{2(4)}$

$\frac{-1 \pm \sqrt{1+64}}{8}$

$\frac{-1 \pm \sqrt{65}}{8}$

Since the distance between the points $A$ and $B$ is horizontal. We know this because they share the same $y-coordinate$ .This means we just need to find the positive difference between the $x$ -values we found for the points of $A$ and $B$ .

So that is, the distance between $A$ and $B$ is:

$\frac{-1+\sqrt{65}}{8}-\frac{-1-\sqrt{65}}{8}$

$\frac{-1+\sqrt{65}+1+\sqrt{65}}{8}$

$\frac{2\sqrt{65}}{8}$

$\frac{\sqrt{65}}{4}$

If we compare this to $\frac{\sqrt{m}}{n}$ , we should see that:

$m=65 \text{ and } n=4$ .

So $m-n=65-4=61$ .

5 0

3 years ago

Read 2 more answers

You have a can that is in the shape of a cylinder. It has a volume of about 1,738 cubic centimeters. The height of the can use 2

Papessa [141]

Answer:

~8.7

Step-by-step explanation:

So we know that the formula for volume is 3.14 * r^2 * h.

So first we do 1738/23 to get an ugly ~ 75.6 Now he have to square root that to get r.

The square root of 75.6 is ~ 8.7

4 0

3 years ago

Set up and solve the following using dimensional analysis.

Softa [21]

1). Multiply (5400 inches) by (1 foot / 12 inch) then by (1 mile / 5280 foot).

(See explanation at the bottom)

= (5400 inch) x (1 foot / 12 inch) x (1 mile / 5280 foot)

= (5400 x 1 x 1 / 12 x 5280) (inch - foot - mile / inch - foot)

= 0.0852 mile

2). Multiply (16 week) by (7 day/week) then by (24 hour/day)
then by (60 minute/hour) then by (60 sec/minute).

3). Multiply (54 yards) by (3 foot/yard) then by (1 meter/3.28 foot)
and then by (1000 mm/meter)

4). Multiply (36 cm/second) by (3600 second/hour) then by (1 meter/100 cm)
then by (1 mile/1609.3 meter).

5). Look up how many grams in a pound ('P')
Look up how many mL in a gallon ('G')

Multiply (1.09 g/mL) by ( 1 pound/ P gram) then by (1 gallon/ G mL)

6). Multiply (32 foot/sec) by (1 meter / 3.28 foot) then by (60 sec/minute).

Each time I told you to multiply by something, it was always a fraction
where the numerator and denominator are equal, like (60 seconds/minute)
or (1 foot / 12 inch). Since the top and bottom of the fraction are equal, the
value of the fraction is ' 1 ' , and multiplying by it doesn't change the value,
it only changes the units ... that's what this whole exercise is about.
When you multiply, KEEP the units in the product, and then, after you multiply, you can 'cancel' units out of the top and bottom of the product.
Like if you have 'feet' on top and bottom, just cross them out. When you're done, if you did it correctly, the last unit you end up with will be the one you want.

4 0

3 years ago