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tensa zangetsu [6.8K]
3 years ago
13

Mark wrote the highest score he made on his new video game as the product of 70x6,000. Use the associative and commutative prope

rties to show how mark can calculate this product mentally
Mathematics
2 answers:
Lelu [443]3 years ago
5 0
You need a caculater that is what you need tho

coldgirl [10]3 years ago
5 0

Answer:

70 × 6000 = 420000

Step-by-step explanation:

In this question, we need to write the product of two numbers 70 × 6000 using associative and commutative properties.

Two numbers are commutative if,

a × b = b × a

Two numbers are associative if,

(a × b) × c = a × (b × c)

Here, 70\times 6000=(7\times 10)\times (6\times 1000)

70\times 6000=7\times 10\times 6\times 1000

Using commutative property as,

70\times 6000=7\times 6\times 10\times 1000

Now using associative property as,

70\times 6000=42\times (10\times 1000)

70\times 6000=42\times (10000)

70\times 6000=420000

So, 70 × 6000 = 420000. Hence, this is the required solution.

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Consider the following. f(x, y, z) = x2yz − xyz8, P(6, −1, 1), u = 0, 4 5 , − 3 5 (a) Find the gradient of f. ∇f(x, y, z) = (b)
Darina [25.2K]

Answer:

a)  ∇f(x, y, z) = (2xyz − yz⁸, x²z − xz⁸, x²y − 8xyz⁷)

b)  ∇f(6, −1, 1) = (-11, 30, 12)

c)  Duf(6, −1, 1) = 84/5

Step-by-step explanation:

Given

f(x, y, z) = x²yz − xyz⁸

P(6, −1, 1)

u = (0, 4/5, − 3/5)

a) ∇f(x, y, z) = ?

We apply

fx(x, y, z) = 2xyz − yz⁸

fy(x, y, z) = x²z − xz⁸

fz(x, y, z) = x²y − 8xyz⁷

then

∇f(x, y, z) = (2xyz − yz⁸, x²z − xz⁸, x²y − 8xyz⁷)

b) ∇f(6, −1, 1) = (2*6*(-1)*1 − (-1)(1)⁸, (6)²(1) − (6)(1)⁸, (6)²(-1) − 8(6)(-1)(1)⁷)

⇒  ∇f(6, −1, 1) = (-11, 30, 12)

c) Duf(6, −1, 1) = ∇f(6, −1, 1)*(0, 4/5, − 3/5) = (-11, 30, 12)*(0, 4/5, − 3/5)

⇒  Duf(6, −1, 1) = 0 + 24 - 36/5 = 84/5

5 0
3 years ago
The Perez family is driving to visit relatives the trip is 184 miles and they have driven 48 miles how many more miles do they n
Paul [167]

Answer:

136

Step-by-step explanation:

You subtract 184 from 48.

5 0
3 years ago
Find the 12th term of the following geometric sequence.<br> 10, 30, 90, 270,
DanielleElmas [232]

Answer:

<h3>The 12th term is 1771470</h3>

Step-by-step explanation:

Since the above sequence is a geometric sequence

An nth term of a geometric sequence is given by

A(n) = a(r)^{n - 1}

where a is the first term

r is the common ratio

n is the number of terms

From the question

a = 10

To find the common ratio divide the previous term by the next term

That's

r = 30/10 = 3 or 90/30 = 3 or 270/90 = 3

Since we are finding the 12th term

n = 12

So the 12th term is

A(12) = 10( {3})^{12 - 1}

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Hope this helps you

8 0
3 years ago
What is 18 divided by 2/3?
pishuonlain [190]
Division is basically
x divided by y=x/y so
18 divided by 2/3=\frac{18}{ \frac{2}{3} }
we want the bottom number to be =1 so we multiply 2/3 by 3/2 to make it 1 (or 6/6=1), but we have to multiply the top number by 3/2 also so that we don't change the fraction and make our work useless so

\frac{18}{ \frac{2}{3} } times  \frac{ \frac{3}{2} }{ \frac{3}{2} } = \frac{ \frac{54}{2} }{ \frac{6}{6} }= \frac{27}{1}=27

the answe ris 27
6 0
3 years ago
Read 2 more answers
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Novosadov [1.4K]

Answer:

34

Step-by-step explanation:

40 * 0.85 = 34

34 questions answered correctly

6 0
2 years ago
Read 2 more answers
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