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LiRa [457]
3 years ago
14

Evaluate the expression: v ⋅ w

Mathematics
2 answers:
Ierofanga [76]3 years ago
8 0

Answer:

Value of v.w equals:

-12

Step-by-step explanation:

If we are given two vectors a and b as:

a=<x1,x2,x3> and b=<y1,y2,y3>

Then, a.b equals:

a.b=x1y1+x2y2+x3y3

Here, v = <2, -8, -8>

and w = <-2, 6, -5>

v.w= 2×(-2)+(-8)×6+(-8)×(-5)

    = -4-48+40

   = -4-8

  = -12

Hence, Value of v.w equals:

-12

dexar [7]3 years ago
4 0
V ⋅ w = <2, -8, -8> ⋅ <-2, 6, -5> = 2(-2) + -8(6) + -8(-5) = -4 + -48 + 40 = -12 

<span>v ⋅ w = -12</span>
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Will the ordered pairs listed in the table form a straight line when plotted? Explain your reasoning.
mrs_skeptik [129]

Answer:

Yes.

Step-by-step explanation:

If the slope between successive points have the same slope then they will form a straight line.

Slope = ( 3.5- -1) / (-2 - -8) = 4.5/6  = 3/4

Slope = (12.5 - 3.5) / (10 - -2) = 9 / 12 = 3/4

Slope = (20-12.5)/(20-10) - 7.5/10 = 3/4 .

So the answer is yes.

4 0
3 years ago
Nick,Sarah and Gavyn share some sweets on the ratio 6:2:1. Nick gets 30 more sweets than Gavyn. How many sweets does Sarah get?​
nydimaria [60]

Answer:

12

Step-by-step explanation:

N:S:G

6:2:1

Nick gets 30 more sweets than Gavyn, therefore we can say that.

6x=x+30\\5x=30\\x=6

As Sarah gets twice the amount of sweets that Gavyn does.

2(6)=12

3 0
3 years ago
5 - 3 = 15 or 7 +5 = 20 true or false
Dominik [7]

Answer:

False

Step-by-step explanation:

4 0
4 years ago
1. Events A and B are dependent, P(A)=20%, P(BIA)=25%. What is P(A and B)?
Blizzard [7]
1. Given that e<span>vents A and B are dependent, P(A)=20%, P(BIA)=25%. What is P(A and B)?
P(BIA)=[P(A and B)]/P(A)
it follows then that:
P(A and B)=P(A)*P(BIA)
P(A)=0.2
P(BIA)=0.25
hence
P(A and B)=0.2*0.25=0.05=5%

2. Given that </span><span> P(A) =12%, P(B)=48% and P(A or B)=50%. What is P(A and B)?
P(A or B)=P(A)+P(B)-P(A and B)
but
P(A)=12%, P(B)=48%, P(A and B)=50%
thus
P(A or B)=12%+48%-50%
simplifying the above we obtain:
P(A or B)=60%-50%=10%

</span>
8 0
3 years ago
Yoshi is making blueberry muffins. He needs 1 1/4 cups of blueberrie to make 1 batch pf muffins. How many cups will he need to m
AURORKA [14]

Answer: 3\dfrac{1}{8}\ \text{cups}

Step-by-step explanation:

Given

Yoshi need 1\frac{1}{4} cups of blueberries to make 1 batch of muffins

convert mixed fraction to fraction

\Rightarrow 1\dfrac{1}{4}=\dfrac{5}{4}

i.e. \frac{5}{4} cups are required for 1 batch of muffins

for 2\frac{1}{2} batch or \frac{5}{2} batch it is given by

\Rightarrow \dfrac{5}{2}\times \dfrac{5}{4}\\\\\Rightarrow \dfrac{25}{8}=3\dfrac{1}{8}\ \text{cups}

4 0
3 years ago
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