All categories

4 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics

1 answer:

babymother [125]4 years ago

4 0

Answer:

Answer:

Total number of cards = 32(4) or y=32(4)

Roberto had 128 cards.

Step-by-step explanation:

Consider the provided information.

Part (A)

He gave his four friends 32 baseball cards each.

Let the number of cards he have before giving them to his friends is y.

This can be written as:

y = 32(4)

Part (B)

Now solve the above equation as shown.

y = 32(4)

Multiply 32 with 4

y = 128

Hence, Roberto had 128 cards.

You might be interested in

Find the values of the variables

lbvjy [14]

Answer:

Jamarion can run 4 miles in 30 minutes. What is his speed in miles per hour?

5 0

3 years ago

Prove identity trigonometric equation

irina [24]

Explanation:

The given equation is False, so cannot be proven to be true.

Perhaps you want to prove ...

$2\tan{x}=\dfrac{\cos{x}}{\csc{(x)}-1}+\dfrac{\cos{x}}{\csc{(x)}+1}$

This is one way to show it:

$2\tan{x}=\cos{(x)}\dfrac{(\csc{(x)}+1)+(\csc{(x)}-1)}{(\csc{(x)}-1)(\csc{(x)}+1)}\\\\=\cos{(x)}\dfrac{2\csc{(x)}}{\csc{(x)}^2-1}=2\cos{(x)}\dfrac{\csc{x}}{\cot{(x)}^2}=2\dfrac{\cos{(x)}\sin{(x)}^2}{\cos{(x)}^2\sin{(x)}}\\\\=2\dfrac{\sin{x}}{\cos{x}}\\\\2\tan{x}=2\tan{x}\qquad\text{QED}$

We have used the identities ...

csc = 1/sin

cot = cos/sin

csc^2 -1 = cot^2

tan = sin/cos

4 0

3 years ago

Please hurry; Which function increases the fastest? A. y 5 14x B. y 5 23 · 17x C. y 5 120x D. y 5 2275x^x

Maurinko [17]

Answer: y = 14^x

Step-by-step explanation:

Here the options are:

a y = 14^x

b y = -3*(17)^x

c y = 120x

d y = -275x

to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:

the derivations are:

a y = x*14^(x - 1)

b y = -x*3*(17)^(x - 1)

c y = 120

d y = -275

So we can already discard options c and d, because have constant rate of change.

Then we keep options a and b.

Always when we have an exponential function, like a^x and b^x

The one with the larger base will be steeper.

So if a > b, then:

a^x is steeper than b^x

In this case, the function:

y = -3*(17)^x

has a larger base, but, this function is negative.

This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)

Then the left option (a: y = 14^x)

Will be the correct one.

(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)

7 0

3 years ago

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Anna [14]

The shaded areas add to 2/5 of the area of the circle, which is given by
A = πr²

Then the shaded area is ...
(2/5)A = (2/5)π(10 in)²
shaded area = 40π in²

7 0

3 years ago

Help with Geometry needed!<br>For this figure, what is the value of X?

Finger [1]

Hello! A triangle has angles that sum up to 180°. So first off, let's solve for the angle of the other triangle. 83 + 31 gives us 114. 180 - 114 is 66. So the angle for the first triangle is 66°. The opposite angle would be the same. Finding the measurement of the other triangle gives us the measurement of x, because the angles are the same. So x = 66°.

3 0

3 years ago