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djverab [1.8K]
3 years ago
5

If a menu has a choice of 4 appetizers, 5 main courses, and 5 desserts, how many dinners are possible if each includes one appet

izer, one main course, and one dessert?
Mathematics
1 answer:
emmasim [6.3K]3 years ago
3 0
Only 4 dinners are possible.
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In standard form, the number 72105.4 is written as 7.21054 × 10n where n is equal to ________.
mafiozo [28]

Answer: n = 4

Step-by-step explanation:

n is always equal to the number of times 10 could be raised to so as to make a total of the number in question.

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3 years ago
The measure of an exterior angle of a triangle and the sum of the measures of the two remote interior angles are _____________.
liberstina [14]

Answer:

The measure of an exterior angle of a triangle is supplementary to its adjacent interior angle. The sum of the remote interior angles must equal the measure of the exterior angle of the triangle.

Step-by-step explanation:

3 0
2 years ago
Please help on this question.
Sonbull [250]

Answer:

C

Step-by-step explanation:

\frac{ - 20 {x}^{2}  + 14x + 12}{5x - 6}  \\  \\  =   \frac{- (20 {x}^{2}   - 14x - 12)}{5x - 6}  \\  \\ =   \frac{ - (5x - 6)(4x + 2)}{5x - 6}  \\  \\  =  - (4x + 2 ) \\  =  - 4x - 2

Domain:

g(x) ≠ 0

5x - 6 = 0 \\ 5x = 6 \\  \\ x =  \frac{6}{5}

All real numbers ≠ 6/5

6 0
3 years ago
ANSWER ASAPPP PLSSS. ILL MARK BRAINLIEST TOO
nevsk [136]

Answer:

Step-by-step explanation:

11.04 = 10(1.02)^n

1.104 = 1.02^n

ln 1.104 = ln 1.02^n

ln 1.104 = n ln 1.02

n = ln 1.104/ ln 1.02

n = 4.99630409516

4.99 can be rounded to 5.

So a reasonable domain would be 0 ≤ x < 5

PART B)

f(0) = 10(1.02)^0

f(0) = 10(1)

f(0) = 10

The y-intercept represents the height of the plant when they began the experiment.

f(1) = 10(1.02)^1

f(1) = 10(1.02)

f(1) = 10.2

(1, 10.2)

f(5) = 10(1.02)^5

f(5) = 10(1.1040808)

f(5) = 11.040808

f(1)=10(1.02)^1

f(1)=10.2

Average rate= (fn2-fn1)/(n2-n1)

                     =11.04-10.2/(5-1)

                    =0.22

the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.  

3 0
3 years ago
Read 2 more answers
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