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3 years ago

X = −3 y = 4 and z = −5 Work out the value of x + 2y − 3z

Mathematics

1 answer:

solniwko [45]3 years ago

4 0

Answer:

Step-by-step explanation:

-3+ 2(4) - 3(-5)

= -3+ 8 + 15

=20

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Change 225° to radian measure in terms of pi

a_sh-v [17]

Answer:

$\frac{5\pi }{4}$

Step-by-step explanation:

To convert from degree to radian measure

radian measure = degree measure × $\frac{\pi }{180}$

Hence

radian measure = 225 × $\frac{\pi }{180}$ = $\frac{225\pi }{180}$ = $\frac{5\pi }{4}$

5 0

3 years ago

Write the equation of the line in slope-intercept form.

Ymorist [56]

Answer:

y = 1/40x + 20

Step-by-step explanation:

Slope-intercept equation format:

y = mx + b

m = slope/ gradient/ constant of variation/ rate of change

b = y-intercept

To find the slope, use the formula:

$\frac{y_2-y_1}{x_2-x_1}$

Find two random points:

1 - (0.5, 40) , 2 - (1, 60)

Plug in:

$\frac{60-40}{1-0.5}$

Solve:

$\frac{20}{0.5}$

Divide:

$\frac{1}{40}$

The y-intercept is when the x-coordinate is equal to 0.

The y-intercept is always the beginning.

So observing the graph, the first point is (0, 20)

The x-coordinate is 0.

Y intercept = 20.

Plug in both slope and y-intercept:

y = 1/40x + 20

8 0

2 years ago

The cattle at the Clinton Farm are fed 1/4 of a bale of hay each day. The horses are fed 2 times as much hay as the cattle. How

xz_007 [3.2K]

Answer:

1/2 of a bale

Step-by-step explanation:

1/4 times 2 equals 1/2

7 0

2 years ago

You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(1 on green die an

navik [9.2K]

Answer:

1) yes ; 2) 1/36 ; 3) 1/36 ; 4) 1/18

Step-by-step explanation:

Given the following :

Two fair dice : 1 green ; 1 red

A) Are the outcomes on the dice independent:

Yes, becomes the outcome of the green dice does not have any effect on the outcome of the red dice.

B) Find P(1 on green die and 5 on red die).

Probability = (number of required outcome) / (total possible outcomes)

Total outcomes of a dice = 6

P(1 on green) = 1 / 6

P(5 on red) = 1/6

P(1 on green die and 5 on red die) :

(1/ 6) × (1/6) = 1/36

C) Find P(5 on green die and 1 on red die)

P(5 on green) = 1/6

P(1 on red) = 1/6

Find P(5 on green die and 1 on red die):

1/6 × 1/6 = 1/36

D) Find P((1 on green die and 5 on red die) or (5 on green die and 1 on red die))

P(5 on green die and 1 on red die) = 1/36

P(1 on green die and 5 on red die) = 1/36

P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) =

P(5 on green die and 1 on red die) + P(1 on green die and 5 on red die)

= (1/36 + 1/36) = 2 /36 = 1/18

8 0

3 years ago

I NEED HELP ON THESE!! PLZ HELP

maks197457 [2]

The picture won’t load re upload it so I can answer.

4 0

2 years ago