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Scorpion4ik [409]
3 years ago
6

The vertex of this parabola is at (2, -1). When the y-value is 0, the x-value is 5. What is the coefficient of the squared term

in the parabola's equation?
Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0
The coefficient would be 1/9 on the x^2.
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3% of what number is 1.86
Illusion [34]

Answer:

62

Step-by-step explanation:

Of means multiply and is means equals

.03 * n = 1.86

Divide each side by .03

.03n/.03 = 1.86/.03

n =62

8 0
2 years ago
EXAMPLE 1 (a) Find the derivative of r(t) = (2 + t3)i + te−tj + sin(6t)k. (b) Find the unit tangent vector at the point t = 0. S
Tatiana [17]

The correct question is:

(a) Find the derivative of r(t) = (2 + t³)i + te^(−t)j + sin(6t)k.

(b) Find the unit tangent vector at the point t = 0.

Answer:

The derivative of r(t) is 3t²i + (1 - t)e^(-t)j + 6cos(6t)k

(b) The unit tangent vector is (j/2 + 3k)

Step-by-step explanation:

Given

r(t) = (2 + t³)i + te^(−t)j + sin(6t)k.

(a) To find the derivative of r(t), we differentiate r(t) with respect to t.

So, the derivative

r'(t) = 3t²i +[e^(-t) - te^(-t)]j + 6cos(6t)k

= 3t²i + (1 - t)e^(-t)j + 6cos(6t)k

(b) The unit tangent vector is obtained using the formula r'(0)/|r(0)|. r(0) is the value of r'(t) at t = 0, and |r(0)| is the modulus of r(0).

Now,

r'(0) = 3t²i + (1 - t)e^(-t)j + 6cos(6t)k; at t = 0

= 3(0)²i + (1 - 0)e^(0)j + 6cos(0)k

= j + 6k (Because cos(0) = 1)

r'(0) = j + 6k

r(0) = (2 + t³)i + te^(−t)j + sin(6t)k; at t = 0

= (2 + 0³)i + (0)e^(0)j + sin(0)k

= 2i (Because sin(0) = 0)

r(0) = 2i

Note: Suppose A = xi +yj +zk

|A| = √(x² + y² + z²).

So |r(0)| = √(2²) = 2

And finally, we can obtain the unit tangent vector

r'(0)/|r(0)| = (j + 6k)/2

= j/2 + 3k

8 0
3 years ago
Pls help ima mark BRAINLIST and give u a like
sladkih [1.3K]

Answer:

C

Step-by-step explanation:

You can tell C is the right answer because one of the inequalities is a vertical line at y=3, which rules out all the other answers. However, if you continue to look at the 2nd inequality, you find the equation is x + y > 2, because the slope is -1 and the y-int is 2.

3 0
3 years ago
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One tablet contains 10 mg of a particular drug. A medication order calls for 3 tablets to be given to a 120 pound dog. what dose
djyliett [7]

Answer:

Step-by-step explanation:

This seems like a cross-multiplication problem.

\frac{3}{20}=\frac{10}{x}\\ 3(x)=20(10)\\ 3x=200\\x= 200/3\\x=66.6

Answer; 66.6 mg/kg

7 0
1 year ago
Read 2 more answers
A bag contains 2 red beads, 1 yellow bead and 3 green beads. A bead is chosen at random.
Katena32 [7]

1/5

Step-by-step explanation:

there is only one yellow bead 2 red and 3 green you add the red and green with a total of 5 getting a ratio of 1/5

5 0
2 years ago
Read 2 more answers
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