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3 years ago

8

suppose you get $100 itunes gift card. each &1.29 song has an additional sales tax charge of 7% in your state. how many song

s can you buy with the gift card

1 answer:

asambeis [7]3 years ago

7 0

Answer:

72 songs.

Step-by-step explanation:

0.07 x $100 = 7

100 - 7 = $93

$93/$1.29 = 72.093 ⇒ 72 songs

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Evaluate the expression. 42+5⋅32−42÷23 CLEAR CHECK 12.625 222 45 59

lidiya [134]

Answer:

$\frac{4604}{23}$ or 200.173913

Step-by-step explanation:

$42+(5)(32)-\frac{42}{23} \\\\=42+160-\\\frac{42}{23}\\\=202-\frac{42}{23} =\frac{4604}{23}$

5 0

3 years ago

Please help!! law of sines and cosines related

pickupchik [31]

Answer:

as below

Step-by-step explanation:

to find the height of the pole recall the relationship of sin cos and tan to the triangle with this helpful mnemonic SOH CAH TOA

Sin = Opp / Hyp

Cos = Adj / Hyp

Tan = Opp / Adj

we will need to solve two triangles and subtract them.

one is the 15° one of the slope of the road and the other is the 57° one that is the angle of the sun. sooooo,

lets solve the 15° one first. We are told that the adj side is 75'

since we know the angle and the adj side and we want to find the Opp side let's use Tan b/c it has all of those in it :)

Tan(15) = Opp / 75

75*Tan(15) = Opp ( I'll put my calculator to work for this )

20.096 = Opp

that's the height of the road to the bottom of the flag pole along that flag pole axis into the ground

next lets solve the 57° triangle in the exact same way

Tan(57) =Opp / 75

75*Tan(57) = Opp

115.4898 = Opp

the tall triangle is the one that goes all the way into the ground, the small one is the one that is under the ground

so subtract the small one from the big one to find the height of the flag pole above the ground

115.4898-20.096 = 95.3938

so the flag pole is about 95.4 feet tall

:o that's pretty tall :

4 0

2 years ago

HELP!! Algebra help!! Will give stars thank u so much <333

Anna35 [415]

Answers:

Part a) $\bf{\sqrt{x^2+(x^2-3)^2}$
Part b) 3
Part c) 2.24
Part d) 1.58

============================================================

Work Shown:

Part (a)

The origin is the point (0,0) which we'll make the first point, so let (x1,y1) = (0,0)

The other point is of the form (x,y) where y = x^2-3. So the point can be stated as (x2,y2) = (x,y). We'll replace y with x^2-3

We apply the distance formula to say...

$d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(0-x)^2+(0-y)^2}\\\\d = \sqrt{(0-x)^2+(-y)^2}\\\\d = \sqrt{x^2 + y^2}\\\\d = \sqrt{x^2 + (x^2-3)^2}\\\\$

We could expand things out and combine like terms, but that's just extra unneeded work in my opinion.

Saying $d = \sqrt{x^2 + (x^2-3)^2}$ is the same as writing d = sqrt(x^2-(x^2-3)^2)

-------------------------------------------

Part (b)

Plug in x = 0 and you should find the following

$d(x) = \sqrt{x^2 + (x^2-3)^2}\\\\d(0) = \sqrt{0^2 + (0^2-3)^2}\\\\d(0) = \sqrt{(-3)^2}\\\\d(0) = \sqrt{9}\\\\d(0) = 3\\\\$

This says that the point (x,y) = (0,3) is 3 units away from the origin (0,0).

-------------------------------------------

Part (c)

Repeat for x = 1

$d(x) = \sqrt{x^2 + (x^2-3)^2}\\\\d(1) = \sqrt{1^2 + (1^2-3)^2}\\\\d(1) = \sqrt{1 + (1-3)^2}\\\\d(1) = \sqrt{1 + (-2)^2}\\\\d(1) = \sqrt{1 + 4}\\\\d(1) = \sqrt{5}\\\\d(1) \approx 2.23606797749979\\\\d(1) \approx 2.24\\\\$

-------------------------------------------

Part (d)

Graph the d(x) function found back in part (a)

Use the minimum function on your graphing calculator to find the lowest point such that x > 0.

See the diagram below. I used GeoGebra to make the graph. Desmos probably has a similar feature (but I'm not entirely sure). If you have a TI83 or TI84, then your calculator has the minimum function feature.

The red point of this diagram is what we're after. That point is approximately (1.58, 1.66)

This means the smallest d can get is d = 1.66 and it happens when x = 1.58 approximately.

6 0

2 years ago

I feel real d.umb for asking this much of questions but tbh I don’t like algebra, my math teacher doesn't like me and she never

Iteru [2.4K]

Answer:

the first one is x=3

Step-by-step explanation:

4 0

2 years ago

Simplify the radical

katrin [286]

X^2 * 5,x^4 so B is the answer

5 0

3 years ago