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3 years ago

Scientific notation of 0.000105

1 answer:

7 0

1.05 * 10^-4 is the answer. When you move the decimal to the right the power is negative. Also, there needs to be at least one number in front of the decimal to make it a scientific notation.

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Y = -5x + 15 2x + y = 12

Nana76 [90]

Answer:

x = 1, y = 10

Step-by-step explanation:

y = -5x + 15 --- Equation 1

2x + y = 12 --- Equation 2

Substitute y = -5x + 15 into Equation 2:

2x + y = 12

2x - 5x + 15 = 12

Evaluate like terms.

15 - 3x = 12

Isolate -3x.

-3x = 12 - 15

Evaluate like terms.

-3x = -3

Find x.

x = -3 ÷ -3

x = 1

Substitute x = 1 into Equation 2:

2x + y = 12

2(1) + y = 12

2 + y = 12

Isolate y.

y = 12 - 2

y = 10

4 0

3 years ago

Read 2 more answers

What is pi???????????????

Kipish [7]

Answer:

The ratio of a circle's circumference to its diameter

In other words: all the way around a circle divided by all the way across it.

The symbol is π (pi)

No matter how large or small the circle, its circumference is always π times its diameter.

π = 3.14159265358979323846... (the digits go on forever without repeating)

A rough approximation is 22/7 (=3.1428571...), but that is not accurate.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The ratio of boys to girls is 7:12 if there are 76 children how many are girls?

Vikentia [17]

12 girls out of 19, how many out of 76

12 - x
19 - 76

Cross product:

19x= 1152
/19. /19
x= ~61

There are (around) 61 girls

3 0

3 years ago

Read 2 more answers

Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point. (2, 3)

lozanna [386]

Standard equation of a circle: (x-h)² + (y-k)² = r² where (h, k) is the center and r is the radius. In the case of our equation here, (x-5)² + (y+3)² = 25, we can conclude that our circle has a center at (5, -3) and a radius of 5 units.

We can use the distance formula with the center (5, -3) and our point (2, 3) to see how far away they are...if the distance between them is less than the radius of the circle, it is on the interior. If it's equal, it's on the circle. If it's greater, it's on the exterior.

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

Distance = $\sqrt{(-3-3)^2+(5-2)^2}$

Distance = $\sqrt{(-6)^2+3^2}$

Distance = $\sqrt{36+9}$

Distance = $\sqrt{45}\approx6.7082$

$6.7082>5,\ so\ (2,3)\ is\ on\ the\ \boxed{exterior}$

8 0

3 years ago

What is the factored form of 16x2 – 16x – 12?

crimeas [40]

Q1. The answer is 4(2x - 3)(2x + 1)

16x² – 16x – 12 = 4 * 4x² - 4 * 4x - 4 * 3 =
= 4(4x² - 4x - 3) =
= 4(4x² + 2x - 6x - 3) =
= 4(2x * 2x + 2x - (2x * 3 + 3)) =
= 4(2x(2x + 1) - (3(2x + 1))) =
= 4((2x + 1)(2x - 3)) =
= 4(2x - 3)(2x + 1)

Q2. The answer is 3(x + 8)(x - 1)

3x² + 21x – 24 = 3 * x² + 3 * 7x - 3 * 8 =
= 3(x² + 7x - 8) =
= 3(x *x - x + 8x - 8) =
= 3((x(x - 1) + 8(x - 1)) =
= 3(x + 8)(x - 1)

8 0

3 years ago