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tamaranim1 [39]
3 years ago
8

Evaluate the expression below when x = 4, y = 5 3(y-x) + 4y

Mathematics
1 answer:
likoan [24]3 years ago
4 0

Answer:

23

Step-by-step explanation:

Brackets go first, 5 (y) - 4 (x) = 1. Now, 3 x 1 = 3, you do this because of the 3 next to the brackets. Now add them together.

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8 0
3 years ago
Read 2 more answers
Find all solutions of the equation in the interval [0,2π) sec(theta) +2=0
Komok [63]
I will first reveal the most obvious secret of trig: Most of the problems are 30/60/90 or 45/45/90 triangles of some sort.

\sec \theta + 2  = 0

\dfrac{1 }{ \cos \theta} = -2

\cos \theta = - \frac 1 2

The rule to remember is \cos x = \cos a has solutions

x = \pm a + 2 \pi k \quad integer k

Continuing where we left off, a cosine of -1/2 is a 30/60/90 triangle in the second or third quadrant; we pick second, and a little thought tells us the angle is  120^\circ.

\cos \theta = - \frac 1 2

\cos \theta = \cos \frac {2\pi} 3

\theta = \pm \frac {2\pi} 3 + 2 \pi k \quad integer k

In the range we want, that's k=0 with the plus sign and k=1 with the minus, so 

\theta = \frac {2\pi} 3 or -\frac {2\pi} 3 + 2 \pi = \frac{4 \pi} 3

\theta = \frac {2\pi} 3 or \frac{4 \pi} 3
6 0
3 years ago
A bag contains 6 purple marbles and 7 white marbles. One marbles is drawn at random and not replaced. Then a second marble is dr
KonstantinChe [14]

Answer: 7/26

Step-by-step explanation:

Number of purple marbles = 6

Number of white marbles = 7

Total number of marbles = 13

The probability of first drawing a white marble will be = 7/13

The probability of drawing a purple marble the second time will be = 6/12 = 1/2

The probability that the first marble is white and the second one is purple will now be:

= 7/13 × 1/2

= 7/26

Note that since there are 13 marbles, when the first purple marble is drawn, there'll be 12 marbles left.

7 0
3 years ago
Please help me with this.....​
NNADVOKAT [17]

Answer:

answer below

Step-by-step explanation:

C. i) y = 23,000(1 - 0.15)^t

ii) y = 23,000(1 - 0.15)^t

y = 23,000 x 0.85^4

y = 23,000 x 0.52200625

y = $12,006.14

y = $12,006. when rounded to the nearest dollar

This is what I got

6 0
3 years ago
5x - 8y = 20<br> what are x and y? :)
Alex_Xolod [135]

Answer:

x could be 10

y could be 5

those are some possible answers.

8 0
2 years ago
Read 2 more answers
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