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Brilliant_brown [7]
3 years ago
5

Evaluate -2x^3-3x^2+4 for x=-2

Mathematics
1 answer:
dsp733 years ago
3 0

Answer: 8

Step-by-step explanation:

1. Rewrite the equation:

-2x^3 - 3x^2 + 4     x = -2

2. Plug in the value of x, -2

-2(-2)^3 - 3(-2)^2 + 4

3. Use order of operations (PEMDAS):

-2(-8) - 3(4) + 4

= 16 - 12 + 4

= 8

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Solve completely by using the square root property
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3 0
3 years ago
HURRICANES A category 3 hurricane reaches speeds up to 20.88 kilometers per hour. The distance from Cuba to Key West is 145 kilo
White raven [17]
Let us assume that the time taken by the category 3 hurricane to travel from Cuba to Key West = X minutes
Speed of the category 3 hurricane is given as 20.88 km/hr
So the category 3 hurricane can travel 20.88 km in 1 hour.
The distance between Cuba and Key West = 145 km
Then
20.88 km is travelled by the category 3 hurricane in = 60 minutes
145 km from Cuba to Key west is travelled by the category 3 hurricane in = X minutes
So,
X = [(145 * 60)/20.88] minutes
   = 416.66 minutes
   = 17 hours and 36 minutes
Time taken by the category 3 hurricane to reach Key West from Cuba is 17 hours and 36 minutes.
8 0
3 years ago
Find z1z2 if z1 = 2/5(cos63° + isin63°) and z2 = 10/3(cos117° + isin117°).
Airida [17]

Answer:

-10/3 is the answer

Step-by-step explanation:

Given are two complex numbers as

z1=\frac{2}{5} (cos63  + isin63)\\z2=\frac{10}{3} (cos 117 + isin117})

Recall Demoivre theorem as

(cosA+isinA)(cos A+isin B) = cos(A+B)+isin(A+B)

Hence here we have sum of angles  as

A+B = 63+117 =180

z1z2=\frac{2}{5} \frac{10}{3} (cos180+isin180)

=\frac{-10}{3}

Since sin180=0 and cos 180=-1

7 0
4 years ago
A right triangle is displayed.
Mazyrski [523]

Answer:

You have to use the Pythagorean Theorem to find the other side, which will be your base in the Area formula (A=1/2bh). So the Pythagorean theorem would be 36^2 + b^2 = 60^2. This gives you 48 in for your base/missing side length. Then, you plug it into the area formula. So, A=1/2(48) (36). This gives you 864 in^2 for the area of your triangle.

5 0
3 years ago
Snow cone holders are sold in sleeves of 50. How much paper is needed for each sleeve if the cones have a slant height of 5 inch
Genrish500 [490]

Answer:

The correct answer is

Step-by-step explanation:

Snow cone holders are sold in sleeves of 50.

The cones have a slant height (l) of 5 inches and a radius (r) of 3 inches.

Surface area of each cone holder = π × r × l = π × 15 = 15π square inches.

Surface area of all 50 cones in the sleeve = 15π × 50 = 750π = 2357.143 square inches.

Thus 2357.143 square inches pf paper would be necessary for each sleeve each having 50 cone holders.

5 0
3 years ago
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