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3 years ago

What is the dollar value of 2 pennies and 3 dimes? What is the dollar value of p

Mathematics

1 answer:

Alex Ar [27]3 years ago

6 0

Answer:

32 cents? This is a weird phrased question!

Step-by-step explanation:

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20. y=-2x+7

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Light travels at a speed of about 1.86×105 miles per second. Suppose a space ship is able to travel at the speed of light. If th

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Find a unit vector that has the same direction as the given vector. 8i ? j + 4k

e-lub [12.9K]

Answer with Step-by-step explanation:

a.Let given vector

a=8i-j+4k

$\mid a\mid=\sqrt{(8)^2+(-1)^2+(4)^2}=9$

By using the formula

Magnitude of a vector= $\sqrt{x^2+y^2+z^2}$

Where x=Coefficient of i

y=Coefficient of j

z=Coefficient of k

Unit vector= $\hat{a}=\frac{a}{\mid a\mid}$

By using the formula

The unit vector= $\hat{a}=\frac{8i-j+4k}{9}=\frac{8}{9}i-\frac{1}{9}j+\frac{4}{9}k$

b.Let vector b=-2i+4j+2k

$\mid b\mid=\sqrt{(-2)^2+4^2+2^2}=2\sqrt 6$

$\hat{b}=\frac{-2i+4j+2k}{2\sqrt 6}$

Length of vector=6

Therefore, the vector in the direction of <-2,4,2> with length 6 is given by = $6\hat{b}=6\times \frac{-2i+4j+2k}{2\sqrt 6}$

The vector in the direction of <-2,4,2> with length 6 is given by = $-\sqrt 6(-i+2j+k)$

c. $\theta=\frac{\pi}{3}$

$\mid v\mid=8$

Let v= $v_x i+v_y j$

$v_x=\mid v\mid cos\theta$

$v_x=8cos\frac{\pi}{3}=8\times \frac{1}{2}=4$

$cos\frac{\pi}{3}=\frac{1}{2}$

$v_y=\mid v\mid sin\theta$

$v_y=8\times sin\frac{\pi}{3}=8\times \frac{\sqrt 3}{2}=4\sqrt 3$

$sin\frac{\pi}{3}=\frac{\sqrt 3}{2}$

Therefore, the vector v in component form= $4i+4\sqrt 3j$

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3 years ago

Write an expression which represents the difference when (5a-5ab) is

LuckyWell [14K]

Answer:

4y + 2x – 2. 2. (3a. 2 b – 6ab + 5ab ... First rewrite the divisor so the x-term is first. Then ... 8a – 26) ч (a + 2). SOLUTION: ... 18) ч (g – 2). eSolutions Manual - Powered by Cognero. Page 5. 5-2 Dividing Polynomials ... SYMBOLIC Write an expression to represent the model. c. ... Then, subtracting 14x, we are left with 6 inches.

Missing: 8ab) ‎| Must include: 8ab)

Step-by-step explanation:

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3 years ago