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GarryVolchara [31]
3 years ago
8

For the following fraction ,tell whether you will add ,subtract, or multiply the exponents

Mathematics
2 answers:
DochEvi [55]3 years ago
5 0

Answer:

Add the exponents

Step-by-step explanation:

Product Rule: am ∙ an = am + n, this says that to multiply two exponents with the same base, you keep the base and add the powers.

EX:

x multiplied by  x^5=x^6

kvv77 [185]3 years ago
3 0

Answer:

We add them

But for negative values we always keep the negative value as a decrease.

4 x -4 as powers still becomes -8

and not -16

Step-by-step explanation:

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.

2^4 x 3^-4 = 16/81 shows and proves we multiply them and just use adding as a short cut.

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What is the lateral surface area of the square pyramid below?
Studentka2010 [4]

Answer:

=4(\dfrac{1}{2}\times Base \times Height )\\\\=4(\dfrac{1}{2} \times 3 \times 8 )\\\\=4(\dfrac{1}{2} \times 24 )\\\\=4 \times 12\\\\=48\,\,inch^2

Therefore, Lateral surface area of the pyramid= 48\,\,inch^2

Step-by-step explanation:

The lateral surface area of the pyramid is the area of the all of its four triangular faces, excluding base :

Area of a triangle is:

=\dfrac{1}{2} \times Base \times Height\\

Base= 3 inches

Height=8 inches

Lateral surface area of the pyramid:  

=4(\dfrac{1}{2}\times Base \times Height )\\\\=4(\dfrac{1}{2} \times 3 \times 8 )\\\\=4(\dfrac{1}{2} \times 24 )\\\\=4 \times 12\\\\=48\,\,inch^2

Therefore, Lateral surface area of the pyramid= 48\,\,inch^2

6 0
3 years ago
2. The table shows distance, y, that Mario runs in x minutes.
grigory [225]

Answer:

Equation: y = ⅐x

Rate of change: ⅐

Distance = 10 miles

Step-by-step explanation:

Given

The information in the above table

Solving (a): The equation

To get the equation, we need to first calculate the slope (m)

Take any two corresponding values of x and y

(x1,y1) = (7,1)

(x2,y2) = (21,3)

m = (y2 - y1)/(x2 - x1)

m = (3 - 1)/(21 - 7)

m = 2/14

m = ⅐

The equation is calculated using

y - y1 = m(x - x1)

Substitute values for m, x1 and y1

y - 1 = ⅐(x - 7)

y - 1 = ⅐x - 1

Add 1 to both sides

y = ⅐x

Solving (b) Rate of change:

The calculated slope in (a) above represents the rate of change.

So:

Rate of change = Slope = ⅐

Solving (c): Distance when time is 70 minutes

This implies that x = 70

Substitute 70 for x in y = ⅐x

y = ⅐ * 70

y = 10 miles

4 0
3 years ago
Please help ASAP!!!!!!
lina2011 [118]

Answer:

I think its C but I'm not too sure.

4 0
3 years ago
Delaney bought a new car for $34,742 she was surprised that the dealer then added 1,945.55. what was the sales tax rate for this
Gemiola [76]

Answer:

5.6%

Step-by-step explanation:

$34,742. X 5.6% = $1,945.55

6 0
3 years ago
1. Which of the following is NOT a function? *
nata0808 [166]
The last one isn’t
there can’t be more than 1 of the same x value
5 0
3 years ago
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