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lbvjy [14]
2 years ago
6

Please help ASAP!! Conner and Jana are multiplying (3⁵6⁸)(3⁹6¹⁰).

Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
4 0

Answer:

Step-by-step explanation:

Write it out in expanded form and you will see why Connor is correct.

3^5 means 3x3x3x3x3

6^8 means 6x6x6x6x6x6x6x6

3^9 means 3x3x3x3x3x3x3x3x3

6^10 means 6x6x6x6x6x6x6x6x6x6

These numbers are all multiplied together, so how many of each number do we have?

3x3x3x3x3x6x6x6x6x6x6x6x6x3x3x3x3x3x3x3x3x3x6x6x6x6x6x6x6x6x6x6

3^14 6^18

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Answer:

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Step-by-step explanation:

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3 years ago
What is the answer to this math question?
oksano4ka [1.4K]

Answer:

The answer is option 3.

Step-by-step explanation:

First we have to find the area of both rectangle and triangle :

Rectangle,

area = base \times height

Let base = 9,

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area = 9 \times 3 \\ area = 27 \:  {m}^{2}

Triangle,

area =  \frac{1}{2}  \times base \times height

Let base = 3,

Let height = 3,

area =  \frac{1}{2}  \times 3 \times 3 \\ area =  \frac{1}{2}  \times 9 \\ area =  \frac{9}{2}  \\ area = 4.5 \:  {m}^{2}

Lastly, in order to find the shaded region you have to substract the area of triangle from the area of rectangle :

area = 27 - 4.5 \\ area = 22.5 \:  {m}^{2}

5 0
3 years ago
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At the beginning of an environmental study, a forest covered an area of 1500km^2. Since then, the area has decreased by 6.3% eac
geniusboy [140]

The <em><u>correct answer</u></em> is:

y=1500(0.937)^t

Explanation:

An exponential function is of the form

y=a\times b^x, where a is the initial population, b is 1 plus the amount of yearly change, and x is the number of years.

For our problem, a, the initial population, is 1500.

The yearly change is 6.3%; 6.3% = 6.3/100 = 0.063.  Since it is decreasing, this is negative; 1+(-0.063) = 0.937.

We use t as the number of years.

This gives us

y=1500(0.937)^t

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4 years ago
ABCD is a parallelogram. Find the measure of angle , (Give reason)
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D=100(opposites angles are equal)

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Step-by-step explanation:

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How do you simplify expressions with rational exponents
Rainbow [258]

Answer:

Step-by-step explanation:

Simplify expression with rational exponents can look like a huge thing when you first see them with those fractions sitting up there in the exponent but let's remember our properties for dealing with exponents. We can apply those with fractions as well.

Examples

(a)   (p^4)^{\dfrac{3}{2}}

From above, we have a power to a power, so, we can think of multiplying the exponents.

i.e.

(p^{^ {\dfrac{4}{1}}})^{\dfrac{3}{2}}

(p^{^ {\dfrac{12}{2}}})

Let's recall that when we are dealing with exponents that are fractions, we can simplify them just like normal fractions.

SO;

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Let's take a look at another example

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Here, we apply the \dfrac{5}{3} to both 27 and x^6

= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{6}{1}\times {{\dfrac{5}{3}}} }\Bigg)

= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{2}{1}\times {{\dfrac{5}{1}}} }\Bigg)

Let us recall that in the rational exponent, the denominator is the root and the numerator is the exponent of such a particular number.

∴

= \Bigg (\sqrt[3]{27}^{5} \times x^{10} }\Bigg)

= \Bigg (3^{5} \times x^{10} }\Bigg)

= 249x^{10}

8 0
3 years ago
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