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3 years ago

10

Justin bought 40 packs of baseball cards for a discounted price of $64. if he sells 10 packs of baseball cards to a friend at co

st, how much should he charge?

1 answer:

melamori03 [73]3 years ago

3 0

If he sells 10 packs of baseball cards to a friend at cost, he would charge $16.

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At the grocery store, you want to get two things. You want a gallon of milk, which costs $2.79. You also want a loaf of bread, w

Olenka [21]

Answer:

this is so easy haha am i missing a picture or smth? anyways just add the two prices together (milk and bread) to get $4.78

4 0

3 years ago

(1+tanx)/(sinx+cosx)=secx

jek_recluse [69]

$\frac{1+\tan x}{\sin x+\cos x}=\sec x$ is proved

<h3><u>Solution:</u></h3>

Given that,

$\frac{1+\tan x}{\sin x+\cos x}=\sec x$ ------- (1)

First we will simplify the LHS and then compare it with RHS

$\text { L. H.S }=\frac{1+\tan x}{\sin x+\cos x}$ ------ (2)

$\text {We know that } \tan x=\frac{\sin x}{\cos x}$

Substitute this in eqn (2)

$=\frac{1+\frac{\sin x}{\cos x}}{\sin x+\cos x}$

On simplification we get,

$=\frac{\frac{\sin x+\cos x}{\cos x}}{\sin x+\cos x}$

$=\frac{\sin x+\cos x}{\cos x} \times \frac{1}{\sin x+\cos x}$

Cancelling the common terms (sinx + cosx)

$=\frac{1}{c o s x}$

We know secant is inverse of cosine

$=\sec x=R . H . S$

Thus L.H.S = R.H.S

$\frac{1+\tan x}{\sin x+\cos x}=\sec x$

Hence proved

5 0

3 years ago

How to solve the formula for Vf in the formula of acceleration?

balandron [24]

A = (Vf - Vi)/t
Multiply by t on both sides to clear the denominator
at = Vf - Vi
Add Vi to both sides.
at +Vi = Vf

3 0

3 years ago

Find the circumference of the following circle using 3.14 for π. Label your answer and do not round.

valina [46]

D=2r so the diameter is 10.4ft. Multiple 10.4ft by 3.14 to get the answer. The answer is 32.656

8 0

3 years ago

Read 2 more answers

A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 9.8

svetlana [45]

Answer:

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 2.575\frac{2.4}{\sqrt{955}} = 0.2$

The lower end of the interval is the sample mean subtracted by M. So it is 9.8 - 0.2 = 9.6 reproductions per hour.

The upper end of the interval is the sample mean added to M. So it is 9.8 + 0.2 = 10 reproductions per hour.

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

8 0

3 years ago