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Ludmilka [50]
3 years ago
6

Please answer this correctly

Mathematics
1 answer:
Allushta [10]3 years ago
3 0

Answer:

1/8

Step-by-step explanation:

Total cards = 8

Card with 4 = 1

<u><em>P(4) = 1/8</em></u>

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092:15 PMEach month, henry weeds gardens for 15 hours and mows lawns for x hours.For each job, he is paid $9 per hour. He wants
ankoles [38]

We know that he weeds gardens for 15 hours, and mows lawns for x hours.

If he wants to earn $252 per month, we can express the following

9\cdot15+9x\ge252

Now, we solve for x

\begin{gathered} 135+9x\ge252 \\ 9x\ge252-135 \\ 9x\ge117 \\ x\ge\frac{117}{9} \\ x\ge13 \end{gathered}<h2>Hence, he has to mow lawns for 13 hours to earn at least $252.</h2>
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How much is 45+14567
alisha [4.7K]
14612 is the answer to your math problem. This is so easy. just use a calculator.
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Given the following exponential function, identify whether the change represents
Nookie1986 [14]

The percentage rate of increase is 36.2% and the exponential function represent the growth.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \rm y = a^x

where 'a' is a constant and a>1

We have exponential function:

\rm y = 8900(1.362)^x

If we compare with

\rm y =a(1+r)^x

If 1+r > 1

1.362 > 1

So the growth rate r is

1 + r = 1.362

r = 0.362

r = 0.362×100

r = 36.2%

Thus, the percentage rate of increase is 36.2% and the exponential function represent the growth.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1

4 0
2 years ago
What is 20 percent of 3500
Aleonysh [2.5K]
20% = 20/100 = 1/5
1/5 of 3500
1/5 X 3500/1 = 3500/5
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4 0
3 years ago
Find the largest prime divisor of $15^6 - 7^6$<img src="https://tex.z-dn.net/?f=Find%20the%20largest%20prime%20divisor%20of%20%2
Novosadov [1.4K]

Answer:

Largest prime factor of the given expression is <em>379.</em>

Step-by-step explanation:

Given the expression:

15^6 - 7^6

To find:

The largest prime factor of the given expression.

Solution:

First of all, let us factorize the given expression.

15^6 - 7^6\\\Rightarrow (15^3)^2 - (7^3)^2\\\\\text{Using } x^{2} -y^2 = (x+y) (x-y)\\\\\Rightarrow (15^3+7^3)(15^3-7^3)

Let us learn two formula:

x^3+y^3 = (x+y)(x^2+y^2-xy)

x^3-y^3 = (x-y)(x^2+y^2+xy)

Applying the above formula in the expression written above:

(15^3+7^3) = (15+7)(15^2+7^2-15\times 7)\\\Rightarrow 22(225+49-105 ) = 2 \times 11 \times 169 \\\Rightarrow 2 \times 11\times 13\times 13\\\Rightarrow 2 \times 11\times 13^2 ...... (1)

Similarly:

(15^3-7^3) = (15-7)(15^2+7^2+15\times 7)\\\Rightarrow 8(225+49+105 ) = 2^3 \times 379........ (2)

Multiplying the expressions from (1) and (2) to get the result:

\therefore 15^6 - 7^6 = 2^4 \times 11 \times \underline{\bold{379}} \times 13 ^2

So, largest prime factor of the given expression is <em>379.</em>

7 0
3 years ago
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