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ad-work [718]
2 years ago
11

Express the following in exponential notation: (-4) x ... x (-4) 11 times

Mathematics
1 answer:
Anni [7]2 years ago
4 0

Given:

The expression is:

(-4)\times ...\times (-4) (11\text{ times})

To find:

The exponential notation for the given expression.

Solution:

We know that

a\times a\times ...\times a(n\text{ times})=a^n         ...(i)

We have,

(-4)\times ...\times (-4) (11\text{ times})

Using (i), the given expression can be written as:

(-4)\times ...\times (-4) (11\text{ times})=(-4)^{11}

Therefore, the exponential notation of the given expression is (-4)^{11}.

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Casey cuts a 2-pound melon into two pieces and puts each piece on a plate.
Dmitry_Shevchenko [17]

Answer:

Yes, because each plate has 1 part of the melon.

Step-by-step explanation:

6 0
3 years ago
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You order two tacos and a salad. The salad costs $2.50. You pay 8% sales tax and leave a $3 tip. You pay a total of $13.80. How
denis23 [38]
Let T = cost of a taco
Let S = cost of a salad

(2 tacos + 1 salad) + (8 % of 2 tacos and 1 salad) + 3 = 13.80

2T + S + .08(2T + S) + 3 = 13.80
2T + 2.5 + .08(2T + 2.5) + 3 = 13.80
2T + 2.5 + .16T + .20 + 3 = 13.80
2.16T + 5.7 = 13.80
2.16T = 8.10
T = 8.10/2.16 = $3.75

Check: 2T + S + .08(2T + S) + 3 = 13.80
2(3.75) + 2.50 + .08(2(3.75)+2.5) + 3 = 13.80
7.5 + 2.5 + .08(10) + 3 = 13.8
13.80 = 13.80
Answer checks as correct
8 0
3 years ago
Which property should be used next in this solution process? 3x+2+3=7(x-1)-4. 3x+5=7(x-1)-4
Vikki [24]
Distributive property
5 0
3 years ago
Please help! Will give brainliest!
const2013 [10]
<h3>1.</h3>

The equation in point-slope form:  y - y₁ = m(x - x₁)

slope:  m = -2

point:   (4, -5)   ⇒   x₁ = 4, y₁ = -5

Therefore, the equation of the line in point-slope form:

<h3>y + 5 = -2(x - 4)</h3>

<h3>2.</h3>

The equation in slope-intercept form:   y = mx + b

Parallel lines has the same slope, so:

y = 4x + 2     ⇒    a = 4

If a line passes through the point <em>(x₁, y₁) </em>then the equation y<em>₁</em> = mx<em>₁</em> + b is true.

(4, 6)  ⇒   x₁ = 4, y₁ = 6  

So:   6 = 4·4 + b  ⇒   b = -10

Therefore the equation:  

<h3>y = 4x - 10</h3>

<h3>3.</h3>

a = 3

(-1, 1)  ⇒   x₁ = -1, y₁ = 1  

So:   1 = 3·(-1) + b  ⇒   b = 4

The equation:  

<h3>y = 3x + 4</h3>

<h3>4. </h3>

The product of slopes of perpendicular lines is -1.

2x - 7y = 1    ⇒  7y = -2x + 1   ⇒  y = -²/₇x + ¹/₇

-²/₇×m = -1    ⇒   m = ⁷/₂

(0, -4)  ⇒   x₁ = 0, y₁ = -4  

-4 = ⁷/₂·0 + b   ⇒   b = -4

The equation:

<h3>y = ⁷/₂x - 4</h3>
8 0
3 years ago
A bag contains purple and orange marbles.Sam randomly takes out one marble and then returns it to the bag.He does this 18 times,
Rudik [331]
I think 6 but how r u supposed to know how many marbles you started with
7 0
3 years ago
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