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3 years ago

11

There is a string of red and blue lights strung around a window . The red lights blink every 3 seconds , and the blue lights bli

nk every 5 seconds , how many times will they blink at the same time in one minutes ?

1 answer:

Nezavi [6.7K]3 years ago

3 0

Give us more evidence please

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swat32

Answer:

$\log_{10}(147) = 2.1673$

Step-by-step explanation:

Given

$\log_{10} 3 = 0.4771$

$\log_{10} 5 = 0.6990$

$\log_{10} 7= 0.8451$

$\log_{10} 11 = 1.0414$

Required

Evaluate $\log_{10}(147)$

Expand

$\log_{10}(147) = \log_{10}(49 * 3)$

Further expand

$\log_{10}(147) = \log_{10}(7 * 7 * 3)$

Apply product rule of logarithm

$\log_{10}(147) = \log_{10}(7) + \log_{10}(7) + \log_{10}(3)$

Substitute values for log(7) and log(3)

$\log_{10}(147) = 0.8451 + 0.8451 + 0.4771$

$\log_{10}(147) = 2.1673$

3 0

2 years ago

Which of the following is an equation of the circle with a center at (-1,4) and a radius of 2√5 units? plss pahelp naman

Ksivusya [100]

Answer:

Option A

Step-by-step explanation:

The standard form of an equation of a circle is represented by the formula $(x-h)^2+(y-k)^2 = r^2$ . Remember that $(h,k)$ is the center and $r^2$ is the radius squared.

So, the equation of the circle must be $(x+1)^2 +(y-4)^2 = 20$ . Complete the square to change the form of the equations listed in the options and find the one that is equal.

Let's try this with option A. Move the constants to the right side, then use the completing the square method to place the equation in standard form:

$x^2 + y^2 +2x -8y -3 = 0\\x^2 + y^2 +2x-8y = 3\\x^2 + 2x +y^2-8y = 3\\(x^2 +2x+1)+(y^2-8y +16)=3+1+16\\(x+1)^2 + (y-4)^2=20$

The end result matches with the equation determined before, so option A is the answer.

8 0

3 years ago

Hannah is 2 times her sister’s age. The sum of their ages is no more than 18 years. 1) Write an inequality that can be used to r

svetoff [14.1K]

Answer:

1) $x+2x\leq 18$ .

2) $6$ years

Step-by-step explanation:

Let Hanna's sister be $x$ years old.

Then Hanna will be $2x$ years old.

The sum of their ages will be $x+2x$ years.

The statement "no more than 18" means the sum of their ages is less than or equal to 18.

The required inequality is;

$x+2x\leq 18$ .

2)

The inequality we just found is

$x+2x\leq18$ .

We simplify to get;

$3x\leq 18$ .

we divide both sides by $3$ to get;

$x\leq 6$ .

Therefore the oldest age Hannah's sister can be is $6$ years

3 0

3 years ago

A horse drawing is 4.5 inches in height. The actual horse is 1 inch to 1.5 feet.

Naily [24]

Answer:

6 ft 9

Step-by-step explanation:

6 0

3 years ago

What is the values of x and y<br><br> I need help Now! Pls!

Verdich [7]

I don’t know about y but x=35 they are diagonal from one another so they will be the same

4 0

3 years ago