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Nitella [24]
3 years ago
11

(6 to the power of 4 times 2) to power of 3. Equivalent expression

Mathematics
1 answer:
maw [93]3 years ago
3 0

Answer:

6^4x2=2592

Step-by-step explanation:

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Amelia makes $8 per hour at her job and then earns an additional $15 for every tablet she sells. She uses the expression 8h + 15
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Part A : The coefficients in the expression are "8" and "15. The variables in the expression are "h" and "t". 

Part B: There are actually two terms in the expression and they are "8h" and "15t". Terms are separated by a plus sign or a minus sign.

Part C: "15t" is the term  in the expression that shows the total earned for tablets sold.
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Four divided by what equals 195
ella [17]
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For what values of b are the vectors [−18, b, 9] and [b, b2, b] orthogonal? (Enter your answers as a comma-separated list. If an
bearhunter [10]

Answer:

Therefore the given vectors are orthogonal for b = 0,±3.

Step-by-step explanation:

If  \vec a and  \vec b are two vectors orthogonal, then the dot product of \vec a and \vec b will be zero.

i.e \vec a. \vec b =0

If  \vec a = x_1\hat i+y_1\hat j +z_1\hat k  and \vec b = x_2\hat i+y_2\hat j +z_2\hat k

\vec a. \vec b=( x_1\hat i+y_1\hat j +z_1\hat k).( x_2\hat i+y_2\hat j +z_2\hat k)

     =x_1 x_2+y_1y_2+z_1z_2

Given two vectors are (-18,b,9) and (b,b²,b)

Let

\vec P= -18 \hat i+b\hat j +9 \hat k

and

\vec Q = b \hat i+b^2 \hat j +b\hat k

Therefore,

\vec P.\vec Q

=( -18 \hat i+b\hat j +9 \hat k).( b \hat i+b^2 \hat j +b\hat k)

=(-18).b+b.b²+9.b

= -18b+b³+9b

= b³-9b

Since \vec P and \vec Q are orthogonal. Then \vec P.\vec Q = 0.

Therefore,

b³-9b= 0

⇒b(b²-9)=0

⇒b =0 or b²=9

⇒b=0 or b =±3

Therefore the given vectors are orthogonal for b = 0,±3.

8 0
3 years ago
Find the product 8×25×23=
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4600 is the answer to that ok mutiply 8×25×23
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