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rosijanka [135]
3 years ago
14

At a local Dunkin’ Donuts, a survey showed that out of 1,300 customers eating lunch, 520 ordered coffee with their meal. What pe

rcent of customers did not order coffee?
Mathematics
1 answer:
k0ka [10]3 years ago
5 0

First subtract the number that did, to find the number that didn't.

1300 - 520 = 780 customers did not order coffee.

Now divide the number who didn't order coffee by total number of customers:

780 / 1300 = 0.6

Multiply by 100 to get the percent:

0.6 x 100 = 60% did not order coffee.

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Verify this cofunction identity by using the difference identity for cosine. Show your work! cos⁡(π/2-θ)=sinθ
taurus [48]
Cos(A-B) = cosAcosB + sinAsinB
<span>
cos(</span>π/2 - θ) = cos(π/2)cosθ + sin(π/2)sinθ

π/2 = 90°
cos(π/2) = cos90° = 0.        sin(π/2) = sin90° = 1

cos(π/2 - θ) = cos(π/2)cosθ + sin(π/2)sin<span>θ
</span>
                   = 0*cosθ + 1*sin<span>θ  = </span>sin<span>θ

Therefore  </span>cos(π/2 - θ) = sin<span>θ
 
QED   </span>
8 0
3 years ago
The engine torque y (in foot-pounds) of one model of car is given by y=−3.75x2+23.2x+38.8, where x is the speed (in thousands of
Stels [109]

Answer:

Step-by-step explanation:

If the engine torque y (in foot-pounds) of one model of car is given by y=−3.75x^2+23.2x+38.8

The engine speed is at maximum if dy/dx = 0

dy/dx = -2(3.75)x+23.2

dy/dx = -7.5x + 23.2

since dy/dx = 0

0 =  -7.5x + 23.2

7.5x = 23.2

x = 23.2/7.5

x = 3.093

Hence the maximum torque is 3.09 rev/min

8 0
3 years ago
6(-2-3x)+8=68 Find x
yawa3891 [41]
6(-2-3x)+8=68 \\ 6(-2-3x)=60 \\ -12-18x=60 \\ -18x=72 \\ 18x=-72 \\ x= \frac{-72}{18} \\ \\  \boxed{x=-4}
3 0
3 years ago
Read 2 more answers
Given the graph of a function f. Identify the function by name. Then Graph, state domain &amp; range in set notation:A) f(x) +2B
WARRIOR [948]

The function in the graph has the name of square function.

The domain of a function is all values of x the function can have. The domain of this function is all real numbers:

\mleft\lbrace x\in\R\mright\rbrace

The range of a function is all values of y the function can have. The range of this function is all positive numbers, including zero:

\mleft\lbrace y\in\R\mright|y\ge0\}

In order to graph f(x) + 2, we just need to translate the graph 2 units up. To find the new points, we need to increase all y-coordinates by 2:

(-2, 6), (-1, 3), (0, 2), (1, 3), (2, 6)

Domain: {x ∈ ℝ}

Range: {y ∈ ℝ | y ≥ 2}

Then, in order to graph f(x) - 2, we just need to translate the graph 2 units down. To find the new points, we need to decrease all y-coordinates by 2:

(-2, 2), (-1, -1), (0, -2), (1, -1), (2, 2)

Domain: {x ∈ ℝ}

Range: {y ∈ ℝ | y ≥ -2}

4 0
11 months ago
The equation C = f - 32/ 1.8 relates the temperature in degrees fahrenheit F to degrees Celcius C. If the temperature is 25 degr
julia-pushkina [17]
77 degrees fahrenheit
4 0
3 years ago
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