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ella [17]
3 years ago
9

A pail holds 3 1/2 gallons of water. How much is this in cups?(In fraction)

Mathematics
2 answers:
romanna [79]3 years ago
8 0
56 cups is the answer
cluponka [151]3 years ago
8 0
56 cups is the answer to this question
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Is the binomial a factor of the polynomial function?
olchik [2.2K]

Answer:

YES

NO

NO

Step-by-step explanation:

The given polynomial is: $ f(x) =  x^3 + 4x^2 - 25x - 100 $

(x - a) is a factor of a polynomial iff x = a is a solution to the polynomial.

To check if (x - 5) is a factor of the polynomial f(x), we substitute x = 5 and check if it satisfies the equation.

∴ f(5) = 5³ + 4(5)² - 25(5) - 100

        = 125 + 100 - 125 - 100

        = 225 - 225

        = 0

We see, x = 5 satisfies f(x). So, (x - 5) is a factor to the polynomial.

Now, to check (x + 2) is a factor.

i.e., to check x = - 2 satisfies f(x) or not.

f(-2) = (-2)³ + 4(-2)² - 25(-2) - 100

      = -8 + 16 + 50 - 100

     = -108 + 66

     ≠ 0

Therefore, (x  + 2) is not a factor of f(x).

To check (x - 4) is a factor.

∴ f(4) = 4³ + 4(4)² - 25(4) - 100

        = 64 + 64 - 100 - 100

        = 128 - 200

        ≠ 0

Therefore, (x - 4) is not a factor of f(x).

7 0
3 years ago
What is the number that is two more than one-tenth of one-fifth of one-tenth of 2,000​
topjm [15]

Answer:

6

Step-by-step explanation:

2 + (1/10)(1/5)(1/10)2000 = 2 + (1/500)(2000) = 2 + 4 = 6

6 0
2 years ago
Lila flies a drone in the direction of 90° towards Avery. Once she gets to Avery she changes course and flies in the direction o
Nikitich [7]

Answer:

X = 13.13 feet

Step-by-step explanation:

Let the distance between Lila and Mark be x.

Let the distance between Avery and lila be A= 20

Let the distance between Avery and Mark be B= 30

Angle x = 200-180=20°

To solve this question we will use the cosine formula which is

X² = A²+ B² -2ABcosx

X²= 20² + 30² -2(20)(30)cos20

X²=1300-1127.6

X²= 172.4

X= 13.13

8 0
3 years ago
Simplify this problem!!!
Nonamiya [84]

Answer:

C

Step-by-step explanation:

HOPE THAT HELPSBDNQBDB

4 0
2 years ago
Read 2 more answers
I need help with arithmetic and geometric sequences
Drupady [299]

So basically an arithmetic sequence has a common difference, a number which is either added or subtracted at a constant rate (only that number). A geometric sequence is the ratio between two numbers, meaning they are either multiplied or divided by the same number. The sequence would be neither if it follows none of these patterns. So by this logic:

14. Arithmetic, 15. Geometric, 16. Neither, 17. Geometric



7 0
3 years ago
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