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krok68 [10]
3 years ago
8

Make sense of problems. A recliner has an

Mathematics
1 answer:
KIM [24]3 years ago
5 0

Answer:

$382.50

Step-by-step explanation:

Step 1 ) Convert 15% to a decimal : 0.15

Step 2 ) Multiply that by amount (0.15×450=67.50)

Step 3 ) Subtract from amount (450−67.50)=$382.50

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To the nearest hundredth, what is the length of line segment AB?
agasfer [191]
I would say the answer is 8.25
3 0
3 years ago
Given f(x) = √x and g(x) = x+2 find the domain of f(g(x)).
REY [17]

Answer:

E) None of the above

Step-by-step explanation:

Given f(x)=\sqrt{x} and g(x)=x+2, then f(g(x))=\sqrt{x+2}. This shifts the graph of the parent function f(x)=\sqrt{x} 2 units to the left. Thus, the domain of the function is [-2,\infty), making none of the above true.

8 0
2 years ago
An envelope contains three cards: a black card that is black on both sides, a white card that is white on both sides, and a mixe
Over [174]

Answer:

There is a  2/3  probability that the other side is also black.

Step-by-step explanation:

Here let B1: Event of picking a card that has a black side

B2: Event of picking a card that has BOTH black side.

Now, by the CONDITIONAL PROBABILITY:

P(B_2/B_1 )  = \frac{P(B_1\cap B_2)}{P(B_1)}

Now, as EXACTLY ONE CARD has both sides BLACK in three cards.

⇒ P (B1 ∩ B2) = 1 /3

Also, Out if total 6 sides of cards, 3 are BLACK from one side.

⇒ P (B1 ) = 3 /6 = 1/2

Putting these values in the formula, we get:

P(B_2/B_1 )  = \frac{P(B_1\cap B_2)}{P(B_1)} = \frac{1}{3}  \times\frac{2}{1} = \frac{2}{3}

⇒ P (B2 / B1)  =  2/3

Hence, there is a  2/3  probability that the other side is also black.

 

5 0
3 years ago
Explain why you rename 4 1/4 to find 4 1/4- 3/4​
Hitman42 [59]

Answer:

Because it is a mixed fraction and it should be renamed in order to solve your problem, for the other one CAN NOT be converted into a mixed fraction.

6 0
3 years ago
The cost, C, to produce b baseball bats per day is modeled by the function C(b) = 0.06b2 – 7.2b + 390. What number of bats shoul
kozerog [31]

Check the picture below, that's just an example of a parabola opening upwards.

so the cost equation C(b), which is a quadratic with a positive leading term's coefficient, has the graph of a parabola like the one in the picture, so the cost goes down and down and down, reaches the vertex or namely the minimum, and then goes back up.

bearing in mind that the quantity will be on the x-axis and the cost amount is over the y-axis, what are the coordinates of the vertex of this parabola?  namely, at what cost for how many bats?

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ C(b) = \stackrel{\stackrel{a}{\downarrow }}{0.06}b^2\stackrel{\stackrel{b}{\downarrow }}{-7.2}b\stackrel{\stackrel{c}{\downarrow }}{+390} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)

\bf \left( -\cfrac{-7.2}{2(0.06)}~~,~~390-\cfrac{(-7.2)^2}{4(0.06)} \right)\implies (60~~,~~390-216) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (\stackrel{\textit{number of bats}}{60}~~,~~\stackrel{\textit{total cost}}{174})~\hfill

6 0
3 years ago
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