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katrin [286]
3 years ago
8

Yesterday afternoon, the cafe sold 22 single-shot espressos and 33 double-shot espressos. What percentage of the espressos sold

were single-shot?
Mathematics
1 answer:
olga2289 [7]3 years ago
7 0
40% of the espressos were single-shot

22+33=55 total shots
22/55= .4
.4x100
40%
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How do you solve this problem? (x+3) cubed
Lubov Fominskaja [6]
You would expand becausee it isn't equal to anything

(x+3)^3=(x+3)(x+3)(x+3)
we can use binomial theorem or pascal's triangle
anyway, pascal's triangle is more practicl for this one

so
for the 3rd power
(a+b)^3=1a^3+3a^2b^1+3a^1b^2+1b^3

a=x
b=3

(x+3)^3=1x^3+3x^2(3^1)+3x^1(3)^2+1(3)^3=
x^3+9x^2+27x+27


7 0
3 years ago
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a. For what values of x does f (x )equals 3 x plus 3 sine x have a horizontal tangent​ line? b. For what values of x does f (x )
laila [671]

Answer:

(a)Therefore the value of x=\pi

(b) Therefore the value of x =\frac{\pi}{2}

Step-by-step explanation:

Horizontal tangent line: The first order derivative of a function gives the slope of the tangent of the function. The slope of horizontal line is zero.If the slope of tangent line is zero then the tangent line is called horizontal tangent line.

(a)

Given function is,

f(x)= 3x+3sin x

Differential with respect to x

f'(x)=3+3cos x

For horizontal tangent line, f'(x)=0

3+ 3 cos x= 0

⇒3 cos x=-3

⇒cos x=-1

⇒x = 180° =\pi

Therefore the value of x=\pi

(b)

Given that, the slope is 3.

Then,f'(x)=3

3+ 3 cos x= 3

⇒3 cos x= 3-3

⇒cos x=0

⇒x = 90° =\frac{\pi}{2}

Therefore the value of x =\frac{\pi}{2}

5 0
3 years ago
Blake scored 182 points in 14 games. Find the unit rate, in points per game.
antiseptic1488 [7]
13p/g

Explanation:
If he has 182p in 14g then he got 13 points per game or 13p/g
182p/14g = 13

Hope this helps!
6 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5D%20a3%20-%20b3" id="TexFormula1" title=" \sqrt] a3 - b3" alt=" \sqrt] a3 - b3" al
klio [65]

Answer:

y=3-b linear function

Step-by-step explanation:

6 0
2 years ago
I really need help with this question <br> n+5≤16
ahrayia [7]

Answer:

the answer would be anything 11 and under (11,10,9,8,7,6,5,4,3,2,1,0)

Step-by-step explanation:

This is because if n+5 is less than or equal to 16 then 11+5=16 so that is equal to and less than would be using any number less than 11

hope this helps ;)

3 0
2 years ago
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