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3 years ago

What is the largest 4-digit number that has both 25 and 30 as factors.

1 answer:

8 0

<span>To begin, we know that 9000 will be a four-digit number that has both 25 and 30 as factors, since 9 is divisible by 3, and the number has a final two digits that are divisible by 25 (an even hundred). However, this is not the largest four-digit number. We can do the same with 9900, since 99 is a multiple of 3, as well, and is still a round-hundred. We know that 9925, 9950, and 9975 are not divisible by 30 evenly, so the largest four-digit number divisible by 25 and 30 is 9900.</span>

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3^(x-2) = 5^(x+1)

Molodets [167]

Answer:

$x=log_{\frac{3}{5} }(45)$

$x-2=log_{3}(5)x+log_{3}(5) \\x-log_{3}(5)x=log_{3}(5)+2\\(1-log_{3}(5))x=log_{3}(5)+2\\x=\frac{log_{3}(5)+2}{1-log_{3}(5)} \\x=\frac{log_{3}(5)+log_{3}(3^2)}{log_{3}(3)-log_{3}(5)} \\x=\frac{log_{3}(5x3^2)}{log_{3}(\frac{3}{5} )} \\x=\frac{log_{3}(5x9)}{log_{3}(\frac{3}{5} )} \\x=\frac{log_{3}(45)}{log_{3}(\frac{3}{5} )}\\x=log_{\frac{3}{5}}(45)$

Hope this helps you :)

8 0

3 years ago

The endpoints of a diameter of a circle are A(3,2) and B(6,6). Find the area of the circle in terms of π.

Oksi-84 [34.3K]

Answer:

area of circle in terms of π is $\mathbf{Area=6.25\:\pi }$

Step-by-step explanation:

The endpoints of a diameter of a circle are A(3,2) and B(6,6). Find the area of the circle in terms of π.

The formula used to find area of circle is: $Area = \pi r^2$

We need to find radius of circle. For finding radius we will first find diameter of circle using distance formula.

Finding distance between points A(3,2) and B(6,6) using distance formula.

$Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have $x_1=3, y_1=2, x_2=6, y_2=6$

Putting values and finding distance

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-3)^2+(6-2)^2}\\Distance=\sqrt{(3)^2+(4)^2}\\Distance=\sqrt{9+16}\\Distance=\sqrt{25}\\Distance=5$

So, distance is 5, we can say that diameter of circle = 5

The formula used to find area of circle is: $Area = \pi r^2$

We need radius, so we know that r = d/2 so, radius = 5/2 = 2.5

Now finding area in terms of π

$Area = \pi r^2\\Area=(2.5)^2\pi \\Area=6.25\:\pi$

So, area of circle in terms of π is $\mathbf{Area=6.25\:\pi }$

6 0

3 years ago

Fred the clown can create 20 animal balloons every 15 minutes.how many animal ballons can he make in 1 minute

insens350 [35]

Dividing the number of balloon animal per the time he takes to make them you get an average of how many animals per minute Fred the clown can make.

20/15=1,3 animals per minute

Since 0,3 is not a complete animal, the correct answer would be "Fred the clown can make 1 animal in 1 minute"

4 0

4 years ago

What is the 11th term of this geometric sequence?: 16384, 8192, 4096, 2048

Scrat [10]

Answer:

Step-by-step explanation:

1) Find out r of the sequence. The first term(a1) is 16384, the second term (a2) is 8192.

8192=16384*r. r= 0.5

2) Use the rule that an=a1*r^(n-1)

a11=a1*r^10

a11= 16384*((0.5)^10)= 16384/ (2^10)=16.

3 0

3 years ago

Find the solution set of the inequality 52-3x<-14

Leviafan [203]

Answer:

x>22

Step-by-step explanation:

Make me brainliest

RIGHT ANswer trust me

4 0

4 years ago