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V125BC [204]
3 years ago
9

Express this number in scientific notation.

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0
9.647 x 10^7 should be the unrounded answer
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Dante scored 66 points in the first 12 games of his basketball season. At his current rate of the season has 20 games in all, ho
Lemur [1.5K]

Answer:

Total points scored by Dante is 110

Step-by-step explanation:

Dante scored 66 points in the first 12 games of his basketball season.

This means his scoring rate or average number of points per game is 66/12

= 5.5 points per basketball game.

With this current rate of 5.5 points per game maintained, if Dante plays a total number of 20 basketball games for the season, the total number of points which he would score for his team in the entire season would be assumed as x

To get x, we multiply the total number of basketball games played by the average number of points which Dante scores per game. It becomes

x = 20 × 5.5 = 110 points

8 0
3 years ago
The point (7, 4) lies on a circle centered at the origin. Write the equation of the circle and state the radius.
k0ka [10]

Given:

The point (7, 4) lies on a circle centered at the origin.

To find:

The equation of the circle and the radius of the circle.

Solution:

Distance formula:

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

The point (7, 4) lies on a circle centered at the origin. So, the distance between the points (7,4) and (0,0) is equal to the radius of the circle.

r=\sqrt{(0-7)^2+(0-4)^2}

r=\sqrt{(-7)^2+(-4)^2}

r=\sqrt{49+16}

r=\sqrt{65}

The standard form of the circle is

(x-h)^2+(y-k)^2=r^2            ...(i)

Where, (h,k) is the center of the circle and r is the radius of the circle.

Putting h=0, k=0 and r=\sqrt{65} in (ii), we get

(x-0)^2+(y-0)^2=(\sqrt{65})^2

x^2+y^2=65

Therefore, the equation of the circle is x^2+y^2=65 and its radius is r=\sqrt{65}.

7 0
3 years ago
(0, 2) (3, 8)<br> write an equation in slope intercept form
jolli1 [7]
Hello there , this is the anwser :)

7 0
3 years ago
Peyton has 5/8 of pumpkin pie left over from thanksgiving. She eats 1/8 of the pie and her friend joy eats 1/6 of the pie. How m
neonofarm [45]

Answer:

1/3

Step-by-step explanation:

Left over pie=5/8

Payton eats=1/8 of the left over pie

Joy eats =1/6 of the left over pie

Total pie eaten by Payton and joy= 1/8+1/6

To add the fraction,

Find the lowest common multiple of 6 and 8 which is 48

Then,

divide 48 by 8 multiplied by 1 which is 6,

divide 48 by 6 multiplied by 1 which is 8

We have,

=6+8/48

=14/48

=7/24

Total pie eaten by Peyton and joy=7/24

Total pie left(after Peyton and joy share)= Total left over- total pie eaten by Peyton and joy

=5/8-7/24

=15-7/24

=8/24

=1/3

8 0
3 years ago
Use the squared identities to simplify 2sin2x cos2x. Check below.
PilotLPTM [1.2K]

To simplify 2sin2x cos2, you need to use (1 - cos(4x))/4. The correct answer between all the choices given is the first choice or letter A. I am hoping that this answer has satisfied your query about and it will be able to help you.

3 0
3 years ago
Read 2 more answers
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