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3 years ago

Exam for edmentum// multiplying monomials please help

Mathematics

1 answer:

Artemon [7]3 years ago

4 0

Answer:

$3 {w}^{5} \times {7w}^{5} \\ \\ = (3 \times 7)( {w}^{5} \times {w}^{5} ) \\ \\ = 21( {w}^{5} \times {w}^{5} )$

from law of indices:

${x}^{a} + {x}^{b} = {x}^{(a + b)}$

therefore:

$= 21 \{ {w}^{(5 + 5)} \} \\ \\ ={ \boxed{ 21 {w}^{10} }}$

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Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply

Charra [1.4K]

Answer:

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16) = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

(x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

x(x⁴ +4) = 1(1⁴ +4) = 5

3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

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2 years ago

What is the result of converting 0.85 liters into milliliters

Artyom0805 [142]

The answer would be 850 milliliters.

4 0

3 years ago

Read 2 more answers

Let f(x)=1/2x2+4. The function g(x) is a vertical stretch of f(x) by a factor of 4. What is the equation of g(x)?

andrey2020 [161]

The equation of g(x) is $g(x)=2 x^{2}+16$

Explanation:

Given that the function f(x) is $f(x)=\frac{1}{2} x^{2}+4$

Also, given that the function g(x) is a vertical stretch of f(x) by a factor of 4.

We need to determine the equation of g(x)

Equation of g(x):

The vertical stretch of the function can be determined by multiplying the factor 4 with the function f(x).

Thus, we have,

$g(x)=4 f(x)$

Substituting the values,we have,

$g(x)=4\left(\frac{1}{2} x^{2}+4\right)$

Simplifying the values, we get,

$g(x)=2 x^{2}+16$

Hence, the equation of g(x) is $g(x)=2 x^{2}+16$

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3 years ago

Find the difference: -3/5 - (-5/9)

Stella [2.4K]

Answer:

-2/45

Step-by-step explanation:

-3/5 - (-5/9)

Subtracting a negative is like adding

-3/5 + 5/9

Get a common denominator of 45

-3/5*9/9 + 5/9 *5/5

-27/45 + 25/45

-2/45

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3 years ago

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Help me please it’s due today

pentagon [3]

Answer:

1. B. $20

2.C. 19%

3. D. not here

Step-by-step explanation:

1. info we know

25+45+10+25+15+10 = 130

we need 20 more dollars

2. 25/130 x/100

cross multiply

2500/ 130x

divide

19 = x

3. same steps as last time

35/130 x/100

3500/130x

29%

5 0

3 years ago