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3 years ago

(-2+6x^3-3x^2)+(4x^3-5+x^2

Mathematics

1 answer:

Bumek [7]3 years ago

7 0

Answer:

(-2+6x^3-3x^2)+(4x^3-5+x^2

Step-by-step explanation:

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Help me with the two again

lorasvet [3.4K]

Part A:

s = k + 4

Part B:

s = 13 + 4

s = 17

Therefore, Sylvia's age is 17 when Katie is 13.

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3 years ago

If triangle ABC is dilated using a scale factor of 2, what will be the coordinates of A after the transformation

harkovskaia [24]

Answer:

$A' = (-4,4)$

Step-by-step explanation:

Given

$A = (-2,2)$ $B = (1,3)$ $C = (1,0)$

$k =2$ --- scale factor

Required

Determine A'

This is calculated as:

$A' = A * k$

$A' = (-2,2) * 2$

$A' = (-2 * 2,2 * 2)$

$A' = (-4,4)$

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3 years ago

A radio tower has a 64 ft Shadow cast by the sun. If the angle from the tip of the shadow to the top of the tower is 78.5°. what

Softa [21]

Step-by-step explanation:

right-angled triangle, and law of sine (for any type of triangles) :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and the correlated angles are always opposite from each other.

and we know that the sum of all angles in a triangle is always 180°.

so, the angle at the foot of the radio tower is 90°.

the angle from the top of the shadow to the top of the tower is 78.5°.

so, the third angle (at the top of the tower) is

180 - 90 - 78.5 = 11.5°

and with the law of sine we get

height/sin(78.5) = 64/sin(11.5)

height = 64×sin(78.5)/sin(11.5) = 314.57005... ft

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2 years ago

Based on probability and if it is appropriate for a decision to be left up to chance, choose every situation that is both statis

svet-max [94.6K]

The situations that are both statistically fair and morally fair are Situation 2, Situation 3 and Situation 5

<h3>How to categorize the situations?</h3>

For a situation to be fair, the probability of every outcome must be equal.

We can now analyze each option using the above highlight

Situation 1

Alphabets = 26
Probability of vowel = 5/26
Probability of consonant = 21/26

The probabilities of vowels and consonant are not equal.

Hence, this situation is not fair

Situation 2

People = 4

P(Each) = 1/4

The probability of each participant is equal in the above scenario i.e. 1/4

Hence, this situation is fair

Situation 3

People = 5
P(Each) = 1/5

The probability of each cousin is equal in the above scenario i.e. 1/5

Hence, this situation is fair

Situation 4

Numbers = 5 i.e. 2 to 6
P(Prime) = 3/5
P(Composite) = 4/6

The probabilities of prime and composite numbers are not equal.

Hence, this situation is not fair

Situation 5

Roommates = 5
Cards = 5
Aces = 4
P(Each) = 1/5

All probabilities are equal in the above scenario i.e. 1/5

Hence, this situation is fair

(-2+6x^3-3x^2)+(4x^3-5+x^2​

(-2+6x^3-3x^2)+(4x^3-5+x^2