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2 years ago

Suppose an angle α is drawn in standard position. In each case, use the information to determine what quadrant α is in.

Mathematics

1 answer:

cupoosta [38]2 years ago

4 0

Since <span> sin(α) > 0 and cos(α) > 0
so </span><span>α is IN THE FIRST QUADRANT (I)</span>

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Consider the cubic function f(x) = x^3 + ax^2 + bx + 4 where (a) and (b) are constants. When f(x) is divided by x-3, the remaind

Debora [2.8K]

Answer:

see explanation

Step-by-step explanation:

Using the Remainder theorem

If f(x) is divided by (x - h) then f(h) = remainder, thus

f(3) = 3³ + a(3)² + b(3) + 4 = 10, that is

27 + 9a + 3b + 4 = 10

9a + 3b + 31 = 10 ( subtract 31 from both sides )

9a + 3b = - 21 → (1)

f(- 1) = (- 1)³ + a(- 1)² + b(- 1) + 4 = 6, that is

- 1 + a - b + 4 = 6

a - b + 3 = 6 ( subtract 3 from both sides )

a - b = 3 → (2)

Rearrange (2) expressing a in terms of b

a = 3 + b → (3)

Substitute a = 3 + b into (1)

9(3 + b) + 3b = - 21 ← distribute and simplify left side

27 + 9b + 3b = - 21

12b + 27 = - 21 ( subtract 27 from both sides )

12b = - 48 ( divide both sides by 12 )

b = - 4

Substitute b = - 4 into (3)

a = 3 - 4 = - 1

Hence a = - 1 and b = - 4

8 0

2 years ago

1+4=5 2+5=12 3+6=21 8+11=?

ziro4ka [17]

Okay so we just need to find out the pattern...
in this case the pattern is adding..
we did
1 + 4 = 5
2 + 5 = 12
we figure this one out by adding 2 and 5 twice so it look like this
2 + 5 + 5 = 12
now moving on to our next one
3 + 6 = 21
so we added 3 and added 6, three times so look
3 + 6 + 6 + 6 = 21
so now
8 + 11 = 96 because we added 8 and added 11, eight times look..
8 + 11 + 11 + 11 + 11 + 11 + 11 + 11 + 11 = 96
so our answer to 8 + 11 is 96!
hope this helps:)
and don't forget 2
MARK ME BRAINLIEST! :D

8 0

2 years ago

The principal of the school is looking over grade reports, specifically scores on math quizzes.

guapka [62]

Answer:

Range = 45

Median = 75

Step-by-step explanation:

Based on the attached box and whisker plot :

From the plot :

Maximum value = 95

Minimum value = 50

The median value can be obtained from the box and whisker plot. The median value from the plot is ; the green dotted point inside the box :

This point is marked 75.

Hence, median value = 75

Range = maximum - minimum

Range =. 95 - 50 = 45

8 0

2 years ago

a marrow plants 0.5 m long. every week it grows by 20%. a find the value of the common ratio. b calculate how long the plant is

OLga [1]

Answer:

The common ratio is 1.2.

After 12 weeks the plant will be 4.46 meters long.

After one year the plant will be 6,552.32 meters long.

Step-by-step explanation:

Given that a marrow plants 0.5 m long and every week it grows by 20%, to find the value of the common ratio, calculate how long the plant is after 12 weeks and comment on the predicted length of the marrow after one year must be performed the following calculations:

0.50 x 1.2 ^ X = Y

Therefore, the common ratio is 1.2.

0.50 x 1.2 ^ 12 = Y

0.50 x 8.916 = Y

4.4580 = Y

Therefore, after 12 weeks the plant will be 4.46 meters long.

0.50 x 1.2 ^ 52 = Y

0.50 x 13,104.63 = Y

6,552.32 = Y

Therefore, after one year the plant will be 6,552.32 meters long.

5 0

2 years ago

33 divided by 2 long division

madreJ [45]

Answer:

Step-by-step explanation:

here is a link that will hopefully help.

https://divisible.info/LongDivision/How-to-calculate-33/divided-by-2-using-long-division.html

8 0

2 years ago

Read 2 more answers