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algol [13]
3 years ago
8

Use the order of operations to evaluate 5 + 4 × 2. A. 11 B. 13 C. 18 D. 22

Mathematics
2 answers:
dmitriy555 [2]3 years ago
7 0

Answer:

b. 13

Step-by-step explanation:

masha68 [24]3 years ago
5 0

Answer:

B. 13

Step-by-step explanation:

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What is 9/16 x 2/3 (show ur work) thanks
Ilya [14]

Answer:

\displaystyle{ \frac{9}{16} \times  \frac{2}{3}  }

\displaystyle{ \frac{9 \times 2}{16 \times 3} }

\displaystyle{ \frac{18}{48} }

\displaystyle{ \frac{ \cancel2 \times  \cancel3 \times 3}{2 \times  \cancel2 \times 2 \times 2 \times  \cancel3} }

\displaystyle{ \frac{3}{2 \times 2 \times 2} }

\displaystyle{ \frac{3}{8} }

6 0
3 years ago
What is the equation of a parabola with (−2, 4) as its focus and y = 6 as its directrix? Enter the equation in the box.
antiseptic1488 [7]

Check the picture below.  So the parabola looks more or less like so.

let's recall that the vertex is half-way between the focus point and the directrix, at "p" units away from both.

Let's notice that the focus point is below the directrix, that means the parabola is vertical, namely the squared variable is the "x", and it also means that it's opening downwards as  you see in the picture, namely that "p" is negative, in this case "p" is 1 unit, and thus is -1.

\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ \stackrel{\textit{we'll use this one}}{4p(y- k)=(x- h)^2} \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-2\\ k=5\\ p=-1 \end{cases}\implies 4(-1)(y-5)=[x-(-2)]^2\implies -4(y-5)=(x+2)^2 \\\\\\ y-5=-\cfrac{1}{4}(x+2)^2\implies y=-\cfrac{1}{4}(x+2)^2+5

6 0
3 years ago
What is the value of the rational expression x/x2-9 when x = –3?
amid [387]
You're answer is D.
-3/-3(2)-9
1(2)-9
2-9
7
so it is D
3 0
3 years ago
Read 2 more answers
Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 40% chan
azamat

Answer:

There are a 25% probability that Christine fails the course.

Step-by-step explanation:

We have these following probabilities:

A 50% probability that Christine finds a tutor.

With a tutor, she has a 10% probability of failling.

A 50% probability that Christine does not find a tutor.

Without a tutor, she has a 40% probability of failing.

Probability that she fails:

10% of 50%(fail with a tutor) plus 40% of 50%(fail without a tutor). So

P = 0.1*0.5 + 0.4*0.5 = 0.25

There are a 25% probability that Christine fails the course.

6 0
3 years ago
Paul needs 40 pounds of 48% silver alloy to finish a collection of jewelry. How many pounds each of 45% silver alloy and 60% sil
Salsk061 [2.6K]
<span>Equation:
silver + silver = silver
0.45x + 0.60(40-x) = 0.48*40
----------------
45x + 60*40 - 60x = 48*40

--------
-15x = -12*40
x = (4/5)40
x = 32 lbs (amt of 45% slloy needed)
40-x = 8 lbs (amt of 60% alloy needed)</span>
8 0
3 years ago
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