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Step2247 [10]
2 years ago
12

Which of the following statements about variables is false? a. Mathematical operations can be performed on a variable. b. The va

riable will always be the letter x. c. A mathematical statement can include more than one variable. d. A variable is a letter used to represent an unknown quantity.
Mathematics
1 answer:
tamaranim1 [39]2 years ago
6 0

Answer:

  b. The variable will always be the letter x (false)

Step-by-step explanation:

Variables can be any letter or symbol. The letter x is often used as a variable, but that is not the only choice. Many formulas, for example, make use of variables that have letters reminding you what they stand for.

For example, the formula ...

  A = 1/2(b1 +b2)h

uses the variables A, b1, b2, and h to represent area, base-1, base-2, and height, respectively. The letter x is not used at all.

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In a small town in the Himalayas, the average snowfall each month is 6 inches. July is the month with the lowest average snowfal
OLga [1]

The function that models the above behavior is given as:

f(x) = ACos(B(x + C)) + 6 ..... .......i

where x = 1 (that is January)

D (Average Snowfall) = 6.

Hence, the amplitude (A) is given as:
A = 6-1

= 5

<h3>What is a mathematical function?</h3>

A mathematical function is a function comprising of different variables that    represent different factors or events and the relationships between them.

<h3>
During what period is there more than 10 inches of snowfall?</h3><h3 />

Recall that in a year we have 12 months. Hence, P = 12

→ P = (2π) /.B → (2π)/B = 12 → B = π/6

Taking the values of A and B and plugging them in, we ahve:

F(x) = 5 cos (π/6(x + C)) + 6................ii

This means that in July, we'll have

x = 7 and f(x) = 1

Therefore,

1 = 5cos ((π/6) (7 + C) + 6 → 5 Cos  ((π/6) (7 + C) →  -5cos ((π/6) (7 + C)

= -1

→   ((π/6) (7 + C) = π

→ 7 + C = 6

→ C = -1

Taking equation ii, we have

F(x) = 5cos ((π6) (x -1)) + 6

F (x) > 10

Therefore

5cos ((π/6) (x-1) + 6 > 10

→  cos ((π/6) (x-1) + 6 > 4/5

→  (π/6) (x-1)  > Cos⁻¹ (4/5)

(π/6) (x-1)  < 0.6435 and

(π/6) (x-1)  > 5.6397

→ x < 2.23 and x > 11.77

The interpretation is that upwards of ten inches of snow fall in January, February, November, and December.

Learn more about functions at;
brainly.com/question/25638609
#SPJ1

3 0
2 years ago
help‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎
Aloiza [94]

Answer:

The answer is B. inches....

4 0
2 years ago
Read 2 more answers
Mr. Wilson opened a bakery and a juice bar in his neighborhood. The functions below represent the profit, in dollars, earned fro
zavuch27 [327]

Answer:

The answer is given below

Step-by-step explanation:

The question is not complete, because the function for the profit is not given but I can show you how to calculate this.

Since Mr. Wilson has a bakery and a juice bar, his total profit earned in t months would be the sum of profit from the bakery with the profit from the juice bar within t months.

Let us assume that the profit from the bakery in t months is given by:

B(t) = 2t³

while the profit from the juice bar in t months is given by:

J(t) = 2.3^t-2

Therefore the total profit is given by:

P(t) = B(t) - J(t) = 2t^3+2.3^t-2

4 0
3 years ago
A train covers a distance of 80 miles in 2 hours. At this rate, about how many hours will it take to cover a distance of 200 mil
Vadim26 [7]
Let's write miles over hours
80 / 2 = 200/ x
cross multiply
80x = 400
divide both sides by 80
x = 5

It will take 5 hours to cover 200 miles

Hope this helps :)
6 0
3 years ago
Need answer ASAP please hurry??
lara [203]

Answer:

The Car would release over 360 tons of carbon dioxide in 10 years.

36x10 = 360

Step-by-step explanation:

Hope this helps!

8 0
3 years ago
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