MATHEMATICS HIGH SCHOOL

WRITE 0,000003 56 IN SCIENTIFIC NOTATION ​

Answers

Answer 1
Answer:

Answer:

3.56X10^-6

Step-by-step explanation:

In converting numbers to scientific notation, simply move the decimal point of the number until the numerical coefficient is greater than 1 but less than 10. Be sure to take note of the following:

1. The numerical coefficient.

2. Number of times we move the decimal point. It will be the exponent with the base of 10.

3. The direction we take in moving the decimal point. If the direction is to the right, take the negative sign for the exponent. If the direction is to the left, take the positive sign for the exponent.

Here, we move the decimal point of 0.00000356 to the right 6 times. So, we have now 3.56X10^-6.

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[3.5x10^6]-[1.5x10^5] in scientific notation
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A student inscribes a triangle inside a circle. The triangle divides the circle into arcs with the following measures: 46°, 102°, and 212°. What are the measures of the angles of the triangle?

Answers

The angle of each arc is going to equal the measure of the angle opposite the arc... so the angles of the triangle will also be 46 degrees, 102 degrees, and 212 degrees.

(Look at one of the angles of the triangle and follow it as it opens up all the way to the other side of the circle and you'll see the equivalent arc)

Find the value of x in circle O.

Answers

i think you forgot to post the picture of circle O

Y=kx+b
A (1,-2) B (-2,-8)
Linear functions!

Answers

k=slope
b=y intercept

find slope
slope=(y2-y1)/(x2-x1)

(x,y)
(1,-2)
(-2,-8)

x1=1
y1=-2
x2=-2
y2=-8

slope=(-8-(-2))/(-2-1)=(-6)/(-3)=2/1=2



k=2
subsitute
y=2x+b
subsitute one point
(1,-2)
x=1,y=-2

-2=2(1)+b
-2=2+b
subtract 2
-4=b


y=2x-4

Which set of ordered pairs could be generated by an exponential function

Answers

The required set of ordered pairs are (0, 1), (1, 3), (2, 9), (3, 27). The correct option is (D).

What is an exponential function?

An exponential function can be represented as y = aˣ. When x = 0, y = a⁰ = 1. The range of an exponential function is from zero to infinity for a > 0.

It is clear from the given options that, only options (B) and (D) satisfies the general expression y = aˣ at x = 0.

Now, both these options can be examined one by one as follows,

Option (B),

The ordered pairs are given as (0, 1), (1, 2), (2, 5), (3, 10).

Substitute the values in the general expression y = aˣ, first two pair are satisfied for a = 2 but the remaining two are not.

Option (D),

The ordered pairs are given as (0, 1), (1, 3), (2, 9), (3, 27).

Substitute the values in the general expression y = aˣ, all the pairs are satisfied for a = 3.

Thus, the correct option is found.

Hence, the set of ordered pairs which could be generated by an exponential function are (0, 1), (1, 3), (2, 9), (3, 27).

To know more about exponential function click on,

brainly.com/question/15352175

#SPJ2

Answer:

C is the answer

Step-by-step explanation:

If you graph them on a line the outcome will be a straight line making it functional and a proportion

Least value of expression x^2+4y^2+3z^2-4x-20y-12z+45 is.?

Answers

Hello,

4 is the least value.

Indeed:
x²-4x+4=(x-2)²
4y²-20y+25=(2y-5)²
3(z²-4z+4)=3(z-2)²

x²+4y²+3z²-4x-20y-12z+45= (x-2)²+(2y-5)²+3(z-2)²+45-4-25-12
=(x-2)²+(2y-5)²+3(z-2)²+4

Minimum is 4 when  x=2,y=5/2 and z=2 for square is always positive.

Calculate an estimate for the mean temperature

Answers

The temperature was in the range of 10-13 on 7 of the days.
Give it the weight of the middle of the range = 11.5 for 7 times = 80.5

The temperature was in the range of 14-17 on 9 of the days.
Give it the weight of the middle of the range = 15.5 for 9 times = 139.5

The temperature was in the range of 18-21 on 16 of the days.
Give it the weight of the middle of the range = 19.5 for 16 times = 312

The temperature was in the range of 22-25 on 22 of the days.
Give it the weight of the middle of the range = 23.5 for 22 times = 517

The temperature was in the range of 26-29 on 6 of the days.
Give it the weight of the middle of the range = 27.5 for 6 times = 165

Total weight for all ranges = (80.5 + 139.5 + 312 + 517 + 165) = 1,214

Total number of days = 60

Estimated mean temperature = (1,214) / (60) = 20.23°C




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