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Ket [755]
2 years ago
5

1. Evaluate each expression without using a calculator. (a)

mula1" title="(-3)^{4}" alt="(-3)^{4}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Rufina [12.5K]2 years ago
5 0

The result of the exponential expression is 81

<h3>Indices expressions</h3>

Indices are written in term of exponents

According to the expoenent law of indices

a^4 = a * a * a * a

Given the expression

(-3)^4

This means the product of -3 in four places. Mathematically

(-3)^4 = -3 * -3 * -3 * -3
(-3)^4 = 9 * 9
(-3)^4 = 81

Hence the result of the exponential expression is 81

Learn more on exponents here: brainly.com/question/11975096

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6. A factory has two types of machines.
Pie

210 pieces

Step-by-step explanation:

First, you need to figure out how many pieces a single machine can cut in a minute, so you need to divide 105 by 3, which gets you 35 pieces per minute.

Next, since we know there are 6 machines, and one machine canncut 35 pieces per minute, we can the figure out how many pieces all 6 cutting machines can cut in 1 minute. You would do this by making an equation such as this:

35 \times 6 = x

The x represents the total number of pieces cut by all 6 machines in one minute.

Next, since we now have an equation, we can go ahead and solve it. We would multiply 35 by 6, which would get us 210 pieces per minute that can be cut by all six machines

8 0
3 years ago
Read 2 more answers
The length of one rectangle is 4 and the width is 2x-6. The length of another rectangle is 1/2 and the width is 6x+2. How much l
Assoli18 [71]
The answer is that the first one is not the longer one the second one is.
the first one equals 2
the second one equals 5
8 0
2 years ago
Solve the system of equations below. <br> 5x + 2y = 9<br> 2x - 3y = 15
riadik2000 [5.3K]

Answer:

(3,-3)

y= -3

x= 3

Step-by-step explanation:

5x+2y=9

2x-3y=15

solve the equation

x=9/5-2/5y

2x-3y=15

substitute the value of x into an equation

2(9/5-2/5y)-3y=15

distribute

18/5-4/5y-3y=15

subtract -4/5 to -3

18/5-19/5y=15

subtract 18/5 from both sides

-19/5=57/5

divide both sides by -19/5

y= -3

substitute the value of y into an equation

x=9/5-2/5(-3)

distribute

x=9/5+6/5

add 9/5 to 6/5

x=3

--------

(3,-3)

--------

3 0
3 years ago
Diego Rollins is paid $10.20 an hour for a regular 40-hour week at the
Aloiza [94]

Answer:

$1632

Step-by-step explanation:

Hourly pay for Diego = $10.20

Weekly hours = 40 Hours

Basic earning = 10.20 × 40 = $408

Overtime pay = 15 × Hourly rate = 15 × 10.20 = $153

Total overtime = 8 hours

Overtime earning = 153 × 8 = 1224

Total earning for the week = 408 + 1224 = $1632

5 0
3 years ago
Which of the following is a polynomial?
blagie [28]
2 and the 4 needs to add subtract too much
4 0
3 years ago
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