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lubasha [3.4K]
2 years ago
11

CAN YOU ANSWER BOTH QUESTIONS PLEASEE

Mathematics
1 answer:
galina1969 [7]2 years ago
8 0

Answer:

a) He calculated the area, not the circumference. The equation for the area of a circle is πr², while the equation for the circumference is 2πr.

b) He would need at least 3 quarts of paint. 200.96/75≈2.68 He would need that approximately 2.68 quarts of paint, but I suppose the question is asking you the least amount of whole number quarts of paint. The answer for that would then be 3.

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Find the value of k such that x-2 is a factor of 3x³-kx²+5x+k​
Nuetrik [128]

Answer:

\displaystyle k = \frac{34}{3}

Step-by-step explanation:

We are given the polynomial:

\displaystyle P(x) = 3x^3 - kx^2 + 5x + k

And we want to determine the value of <em>k</em> such that (<em>x</em> - 2) is a factor of the polynomial.

Recall that the Factor Theorem states that a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.

Our binomial factor is (<em>x</em> - 2). Thus, <em>a</em> = 2.

Hence, by the Factor Theorem, P(2) must equal zero.

Find P(2):

\displaystyle \begin{aligned} P(2) &= 3(2)^3 - k(2)^2 + 5(2) + k \\ \\ &= 3(8) - 4k + 10 + k \\ \\ &= 34 - 3k  \end{aligned}

This must equal zero. Hence:

\displaystyle \begin{aligned} 34 - 3k &= 0 \\ \\ -3k &= -34 \\ \\ k = \frac{34}{3}  \end{aligned}

In conclusion, <em>k</em> = 34/3.

6 0
2 years ago
Help help help።help plz​
In-s [12.5K]

Answer:

The perimeter is 240

Step-by-step explanation:

The side length is 60 and 60*4=240

hope this help!

7 0
2 years ago
HELP ASAP PLS! The ratio of bows to headbands of Monique’s hair accessories is 8:4. Select all true statements.
Ratling [72]
Obviously a b c & d.
3 0
3 years ago
Which number line represents the solution set for the inequality 3(8-4x) &lt; 6(x - 5)?
PilotLPTM [1.2K]

3(8 - 4x) < 6(x - 5) \\ 24 - 12x < 6x - 30 \\ 24 + 30 < 6x + 12x \\ 54 < 18x \\  \frac{54}{18}  <  \frac{18x}{18}  \\ x > 3

Solution : ] 3 , + ♾️ [

PLEASE GIVE BRAINLIEST

8 0
2 years ago
The cost of tuition increases each year by 2.6%.
djyliett [7]

Answer:

I think it is a) exponential

6 0
2 years ago
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