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Yakvenalex [24]
3 years ago
10

Solve for w 14= -7/8w , show your work

Mathematics
1 answer:
cestrela7 [59]3 years ago
3 0

Answer:

Step-by-step explanation:

14 = -7w/8

Cross multiply

-7w = 14 × 8

-7w = 112

w = 112/-7

w = -16

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What is 30 times 5/3? Also what is 24 times 5/3?
LUCKY_DIMON [66]

Answer:

30 times 5/3 is 50

24 times 5/3 is 40

5 0
3 years ago
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If Vector u=(5,-7) and v=(-11,3), 2v-6u=_____ and ||2v-6u||≈_____
Sauron [17]
<h2>Answer:</h2>

2\vec{v}-6\vec{u}=(-52,48) \\ \\ ||2\vec{v}-6\vec{u}||=75.28}

<h2>Step-by-step explanation:</h2>

In this problem we have two vectors:

\vec{u}=(5,-7) \ and \ \vec{v}=(-11,3)

So we need to find two things:

2\vec{v}-6\vec{u}

and:

||2\vec{v}-6\vec{u}||

FIRST:

In this case we have the multiplication of vectors by scalars. A scalar is a simple number, so:

2\vec{v}-6\vec{u} \\ \\ Replace \ \vec{v} \ and \ \vec{u} \ by \ the \ given \ vectors: \\ \\ 2(-11,3)-6(5,-7) \\ \\ Multiply \ each \ component \ by \ the \ corresponding \ scalar:\\ \\ (2\times (-11),2\times 3)+(-6\times 5,-6\times (-7)) \\ \\ (-22,6)+(-30,42) \\ \\ Sum \ of \ vectors: \\ \\ (-22-30,6+42) \\ \\ \therefore \boxed{(-52,48)}

SECOND:

If we name:

\vec{w}=2\vec{v}-6\vec{u}

Then, ||2\vec{v}-6\vec{u}|| is the magnitude of the vector \vec{w}. Therefore:

||\vec{w}||=||2\vec{v}-6\vec{u}|| \\ \\ ||\vec{w}||=||(-52,48)|| \\ \\ ||\vec{w}||=\sqrt{(-58)^2+48^2} \\ \\ ||\vec{w}||=\sqrt{3364+2304} \\ \\ ||\vec{w}||=\sqrt{5668} \\ \\ \boxed{||\vec{w}||=75.28}

5 0
2 years ago
Read 2 more answers
I need help with this fast
bonufazy [111]
The first one is fraction and the second one is volume.
7 0
2 years ago
Find the Simple Interest<br> $700 deposited at an interest rate of 1.5% for 3 years
slega [8]

Answer:

$31.50

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.5%/100 = 0.015 per year,

then, solving our equation

I = 700 × 0.015 × 3 = 31.5

I = $ 31.50

The simple interest accumulated

on a principal of $ 700.00

at a rate of 1.5% per year

for 3 years is $ 31.50.

3 0
3 years ago
Triangle KNM is shown. Triangle K N M is shown. Angle M K N is 25 degrees. Angle K N M is 130 degrees. Angle N M K is 25 degrees
mars1129 [50]

Answer:

<h3>Two of the sides of triangle KNM are the equal</h3>

Step-by-step explanation:

From the triangle KNM, we can see that two of the angles M K N and Angle N M K are the same. If two of the angles are equal this means that two of the sides of the triangles are also equal. This type of triangle is known as an ISOSCELES TRIANGLE.

An isosceles triangle is a triangle that has two of its angles and sides to be equal.

6 0
2 years ago
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