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3 years ago

7

Choose the correct description of the graph of the compound inequality: (5 points) x − 3 < −7 or x + 5 greater than or equal

to 8

1 answer:

marusya05 [52]3 years ago

5 0

Answer:

the answer would be a number line with an open circle on -4, a closed circle on 3, and shading in between.

Step-by-step explanation:

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How to multiply 70.94 by 3.2 and get 227.008

kogti [31]

Answer:

solution

Step-by-step explanation:

so the solution is this first multiply the numbers with out the decimal point and then count and add the decimal point.

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2 years ago

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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= $4i+4\sqrt 3j$

7 0

3 years ago

In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police

Delicious77 [7]

The answer is 4 miles

6 0

3 years ago

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Inverse of P(m)=m/6+9

kari74 [83]

p(m)=6(m-9)

for the inverse of anything switch the y to x and the x to y and solve for y

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3 years ago

The base of this regular right pyramid is a square what is its surface area? HELP FAST PLEASE!!

ElenaW [278]

Answer:

D

Step-by-step explanation:

Using the equation A² + B² = C²

2² + 3² = C²

4 + 9 = C²

13 = C²

√13 = 3.6

Round It to 4 and It's 4² ft

3 0

4 years ago