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2 years ago

Simplify the following. Express your answer with positive exponents

Mathematics

1 answer:

oksano4ka [1.4K]2 years ago

8 0

On simplification, the expression is 15b^10/a^5

Step-by-step explanation:

Step 1: Use the laws of exponents to solve this. a^m · a^n = a^m+n and a^m ÷ a^n = a^m-n.
Answer is shown in attachment.

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Which is greater? 0.7 or -1?

Leviafan [203]

.7 is greater because it's a positive and not a negative.

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3 years ago

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areas of four triangles are 40 cm^2, 90 cm^2, 202.5 cm^2 and 455.6 cm^2 are continue in sequence. the enlargement factor is 1.5,

maw [93]

Answer:

9th Triangle

Step-by-step explanation:

Given the area of four triangles: $40 cm^2, 90 cm^2, 202.5 cm^2 \:and\: 455.6 cm^2$

If the Scale factor is 1.5.

This is a geometric sequence and the common ratio is 1.5 X 1.5.

Therefore, the area of any n triangle can be determined using the function:

$A(n)=40\cdot1.5^{2(n-1)}$

We want to determine which triangle has an area greater than $15000cm^2$ .

When A(n)=15000

$40\cdot1.5^{2(n-1)}>15000\\1.5^{2(n-1)}>\frac{15000}{40} \\1.5^{2(n-1)}>375\\\text{Change to Logarithm form}\\2(n-1)>Log_{1.5}375\\\text{Applying logarithm change of base to base 10 law}\\2(n-1)>\frac{Log 375}{Log 1.5} \\2n-2>14.62\\2n>14.62+2=16.62\\n>8.31$

Therefore, the 9th triangle has an area greater than $15000cm^2$ .

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3 years ago

Need some math help. I tried but I’ve already done over fifty questions. Thanks!

DENIUS [597]

Answer:

Step-by-step explanation:

AB = √[(3a - -3a)² + (0)²]

⇒ AB = √[(3a + 3a)² + (0)²]

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2 years ago

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Rasek [7]

Answer:

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Step-by-step explanation:

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3 years ago

Hana is playing a virtual reality game in which she must toss a disc to land on the largest triangular section of the board. If

svetoff [14.1K]

Answer:

Her probability of success is 1/2

Step-by-step explanation:

Firstly, we have to calculate the area of the entire board

That would be the rectangle of the measure 50 cm by 40 cm

We have the area as the product of this two

That would be 50 * 40 = 2,000 cm^2

Now, the value calculated is the area of the entire possible landing area

Secondly, we need to get the area that counts as a success

that would be the area of the triangle that has a base of 50 cm and a height of 40 cm

The area of this is the product of the two divided by 2

we have this as ;

50 * 40 * 1/2 = 1,000 cm^2

So, her probability of success is simply the area of the triangle divided by the area of the rectangle

= 1000/2000 = 1/2

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2 years ago