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2 years ago

What is the coefficient of the c-term of the algebraic expression 14a - 72r - c - 34d? A) -34

1 answer:

8 0

When the coefficient of a term is 1 or -1, we don't write it, we just use the + or - sign. The coefficient of the c term is -1, because of the - sign in front of it and the lack of written coefficient. Any questions?

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Help anyone? its pretty easy im just lazy

marishachu [46]

The picture is blank. It just pops up a black screen , what the question

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2 years ago

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PLEASE HELP 12 POINTS

stealth61 [152]

Basically subtract 59 from 709 which is 650 , halve 650 which is 325 and then add 59 to the other 325 that u have to add to the first 325 to make 650 so
709-59= 650
650\2= 325
325 + 59= 384
So 384 cheeseburgers were sold and 325 hamburgers
384+325= 709

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2 years ago

Determine the greatest common divisor of the elements of the set \[ s = \{ n^{13} - n \mid n \in \mathbb{z} \}. \]

Kay [80]

Answer:

2730

Step-by-step explanation:

We want to determine the greatest common divisor of the elements of the set $S = \{ n^{13} - n \mid n \in \mathbb{Z} \}.$

We apply the Fermat's little theorem which states that if p is a prime number, then for any integer a, the number aᵖ − a is an integer multiple of p.

Now, $n^{13} \equiv n \mod p$ if p-1 divides 12.

Since the of 12 are 1,2,3,4, 6, 12, the corresponding primes are 2, 3, 5, 7, 13.

Therefore, the gcd of the elements in $2^{13}-2$ and $3^{13}-3$ is 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13.$

2*3*5*7*13=2730

Therefore, the gcd of the elements in set S is 2730.

5 0

2 years ago

3. A person standing 3 feet away from the base of a lamp post casts a shadow 4 feet long. If the person is 6 feet tall and walks

german

Answer:

533.33 ft/min

Step-by-step explanation:

We are given that

x=3 feet

y=4 feet

Height of person,h=6 feet

$\frac{dx}{dt}=400 ft/min$

Triangle ABC and A'B'C are similar because all right triangles are similar

By using similarity property

$\frac{h'}{6}=\frac{7}{4}$

$h'=10.5 feet$

$x+y=3+4=7 feet$

$\frac{h'}{6}=\frac{x+y}{y}$

$\frac{10.5}{6}=\frac{x+y}{y}$

$10.5y=6x+6y$

$10.5y-6y=6x$

$4.5y=6x$

Differentiate w.r.t t

$4.5\frac{dy}{dt}=6\frac{dx}{dt}$

$\frac{dy}{dt}=\frac{6\times 400}{4.5}ft/min$

$\frac{dy}{dt}=533.33ft/min$

Hence, If the person is 6 feet tall and walks away from the lamp post at a speed of 400 feet per minute then his shadow moving at the rate 533.33 ft/min

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2 years ago

Which one of these improper fractions are beetween 4 to 5? how do you know?

lara31 [8.8K]

Answer:

Step-by-step explanation:

13 divided by 3 equals 4.33333333....

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2 years ago

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