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lions [1.4K]
3 years ago
9

Explain why the exponent cannot be added in the product 12^3 Times 11^3

Mathematics
1 answer:
Ulleksa [173]3 years ago
7 0
11 and 12 are called bases of the exponents and only when bases are the same can the exponents be added.

x²• x³=x^(2+3)=x^5

When bases are not the same but the exponents are, you multiply bases and keep same exponent.

12³•11³=(12•11)³=132³
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Two Fifths of the vegetables in Priya's garden are tomatoes.
IgorLugansk [536]
Let
V-------------> total <span>vegetables in Priya's garden
T------------> total tomatoes </span>in Priya's garden

we know that
T=(2/5)V

Part A) <span>HOW many tomatoes are there I'd Priya's garden has.

1) </span><span>20 Vegetables?
</span>T=(2/5)*20----------> 20*2/5---------> 8 tomatoes
<span>the answer Part A1) is 8 tomatoes
</span>
2) x Vegetables?
T=(2/5)*x----------> x*2/5---------> (2/5)*x  ----------> 0.40*x tomatoes
the answer Part A2) is (0.40)*x  tomatoes

Part B) <span>Priya's garden has 6 tomatoes. How many total vegetables are there?

</span>T=(2/5)V-----------> V=5T/2--------> V=(5*6)/2--------> V=15 vegetables
<span>
the answer part B) is </span>15 vegetables<span>

</span>
5 0
3 years ago
Which expression is not equivalent to the other three A) -9- 7 + 16n
Misha Larkins [42]

Answer:

-16(1-n)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How many square feet of outdoor carpet will we need for this hole?
Alex73 [517]

Answer:

Idk if it’s asking for the carpet for the hole but if it’s asking how much carpet to fill the hole the answer is 4, but if it’s asking how much carpet to cover the green area the answer is 44 feet

Step-by-step explanation:

6 0
3 years ago
What are the coordinates of the vertex in f(x) = -4(x+3)^2-8
never [62]

Answer:

vertex = (- 3, - 8 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

f(x) = - 4(x + 3)² - 8 ← is in vertex form

with (h, k) = (- 3, - 8 ) ← vertex

7 0
3 years ago
You received your first credit card with a spending limit of $2,000 at 18.9% interest. You decide you need to upgrade your sound
kari74 [83]

Answer:

It will take approximately 25 months

Step-by-step explanation:

The amount owed on the credit card statement, P = $2,000

The interest rate of the credit on the credit card, r = 18.9%

The minimum monthly payment made, M = $100

The equal monthly installment formula is given as follows;

M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}

Therefore, we get;

100 = \dfrac{2,000 \cdot \left(\dfrac{0.189}{12} \right) \cdot \left(1+\dfrac{0.189}{12} \right)^n }{\left(1+\dfrac{0.189}{12} \right)^n - 1} = \dfrac{2,000 \times\left(0.01575 \right) \cdot \left(1.01575 \right)^n }{\left(1.01575\right)^n - 1}

100×1.01575ⁿ - 100 = 31.50×1.01575ⁿ

100×1.01575ⁿ - 31.50×1.01575ⁿ = 100

68.5×1.01575ⁿ = 100

1.01575ⁿ = 100/68.5

n = ln(100/68.5)/ln(1.01575) ≈ 24.21 (which is approximately 25 months, by rounding up to the nearest whole number)

Therefore, it will take approximately 25 months to pay off the credit card debt

8 0
3 years ago
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