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vladimir1956 [14]
3 years ago
13

Write 0.00005974 in scientific notation.

Mathematics
2 answers:
larisa86 [58]3 years ago
7 0

Answer:

Step-by-step explanation:

For correct scientific notation, we need to have 1 number to the left of the decimal, and everything else to the right. Since our number is already less than 1, the exponent representing the number of places we move the decimal will be negative. We have to move the decimal 5 places to the right to get the 5 to the left of the decimal and everything else to the right, making this:

5.974*10^{-5

Arlecino [84]3 years ago
7 0
If you were to convert it into scientific notation, you’re ANSWER would be 5.974x10^-5
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Can someone please help mee (20 points and i will give brainliest!!!)
FromTheMoon [43]

Answer:

a. y-intercept:(0,  -6), x-intercepts: (3, 0) and (-2, 0). vertex: (0.5, -6.25)

b. y-intercept: (0, 6), x-intercepts(3, 0) and (-2, 0). vertex: (0.5, 6.25)

Step-by-step explanation:

a:

 So finding the y-intercept is really easy and is simply when x=0. If you plug in 0 as x it makes y=(0)^2-0-6 which simplifies to -6, which is the y-intercept. As for the x-intercepts you can calculate that by using the quadratic equation x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\. In this case a=1, b=-1, c=-6. So plugging those values in you get x=\frac{-(-1)\pm\sqrt{(-1)^2-4(1)(-6)}}{2(1)}, which simplifies to x=\frac{1\pm5}{2}. This gives you the x-intercepts 6/2 and -4/2 which are 3 and -2. The vertex can be calculated by manipulating the equation so it's in the form of y=(x-h)^2+k where (h, k) is the vertex of the parabola. This is done by moving c to the other side and then completing the square and the isolating y. So the first step will be

Move c to the other side

y+6=x^2-x

Complete the square by adding (b/2)^2

y+6+0.25 = x^2-x+0.25

Rewrite as square binomial

y+6.25 = (x-0.5)^2

Isolate y

y=(x-0.50)^2-6.25

(h, k) = 0.50, -6.25 which is the vertex

b: To identify the y-intercept you plug in 0 as x which will only leave c which in this case is 6 which is the y-intercept. (0, 6). To identify the x-intercepts you can simplify plug in the values a, b, c into the quadratic equation which was stated in the previous answer. In this case a, b, c = -1, 1, 6. Plugging these values in gives the equation y=\frac{-(1)\pm\sqrt{1^2-4(-1)(6)}}{2(-1)}. which simplifies to x=\frac{-1\pm5}{-2} which gives the values -2 and 3. To find the vertex it's the same process as before

Factor out -1

y=-(x^2-x-6)

Add 6 to both sides (on the left side add -6 since -1 was factored out).

y-6=-(x^2-x)

Complete the square by adding (b/2)^2 to both sides (add -(b/2)^2 to left side since -1 was factored out)

y-6-0.25 = -(x^2-x+0.25)

Rewrite as square binomial

y-6.25=-(x-0.5)^2

Add 6.25 to both sides

y=(x-0.50)^2+6.25

(h, k) = (0.50, 6.25)

When you graph the parabolas you'll notice there just flipped relative to the x-axis. This can be deduced by simply looking at the two equations, since the two equations have the same absolute value coefficients, the signs are just different, and more specifically they're all opposite. If you took the first equation and multiplied the entire right side by -1 you would get the same equation. And since that equation really represents the value of y (since it's equal to y) you're reflecting it across the x-axis.

4 0
1 year ago
Read 2 more answers
9( 2k + 3 ) + 2 = 11 ( k- y )
Mashcka [7]
9(2k+3)+2=11 (k-y) 
k=-11/7 y+ -29/7
8 0
3 years ago
Read 2 more answers
Choose two angles that are each separately alternate exterior angles with 412.
Alborosie

Answer:

∠2 and ∠5

Step-by-step explanation:

we know that

<u>Alternate Exterior Angles</u> are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal

In this problem

∠12 and ∠2 are alternate exterior angles

∠12 and ∠5 are alternate exterior angles

therefore

∠2 and ∠5 are each separately alternate exterior angles with ∠12

6 0
3 years ago
What is the slope intercept of 4X plus Y equals eight?
viva [34]
Y= -4x+8.... all u had to do is subtract 4x to the other side and get that answer
3 0
3 years ago
A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm. Calculate the volume of
never [62]

Answer:

The volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .

Step-by-step explanation:

Formula

Volume\ of\ a\ cylinder = \pi r^{2} h

Volume\ of\ a\ cone = \pi r^{2} \frac{h}{3}

Where r is the radius and h is the height .

As given

A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm.

\pi = 3.14

Thus

Volume\ of\ a\ cylinder =3.14\times 5\times 2\times 2

                                             = 62.8 cm³

Thus the volume of a cylinder is 62.8 cm³ .

Volume\ of\ a\ cone = 3.14\times 2\times 2\times frac{5}{3}

Volume\ of\ a\ cone =\frac{5\times 3.14\times 2\times 2}{3}

Volume\ of\ a\ cone =\frac{62.8}{3}

                                        = 20.9 (Approx) cm³

Thus the volume of a cone is 20.9 cm³ .

Therefore the volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .

8 0
3 years ago
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