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Serggg [28]
3 years ago
13

Express this number in standard form. 2.456×10^​11

Mathematics
2 answers:
rosijanka [135]3 years ago
8 0
Move the decimal to the right 11 times. 2,456,00,000,000
Marat540 [252]3 years ago
7 0

Answer:

2.456\times 10^{11}=245600000000

Step-by-step explanation:

Given : Number 2.456\times 10^{11}

To find : Express this number in standard form ?

Solution :

Standard from is writing number into larger form.

Expanding the given number 2.456\times 10^{11}

2.456\times 10^{11}=\frac{2456}{1000}\times 100000000000

2.456\times 10^{11}=2456\times 100000000

2.456\times 10^{11}=245600000000

Therefore, The standard form of the number 2.456\times 10^{11}=245600000000

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Name the properties that were used to derive the properties of logarithms.
defon
The properties that were used to derive the properties of logarithms are:
1. a^x · a^y = a^(x+y)   2. a^x / a^y = a^(x - y)   3. a^0 = 1   4. a^(-x) = 1 / x   5. (a^x)^y = a^(<span>xy)</span><span>
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6 0
3 years ago
CD is perpendicular to AB and passes through point C5, 12).
Aleksandr-060686 [28]

Answer:

x intercept of CD = 17

Step-by-step explanation:

We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.

For that we need to find the equation of CD

we have coordinates of C , and hence if we have slope of CD we can find equation of CD

Slope of CD can be determine with the help of slope of AB as CD⊥ AB

So, the slope of CD mCD = -\frac{1}{mAB}

Hence we start from determining slope of AB

slope is given as

m= \frac{y_2-y_1}{x_2-x_1}

m= \frac{14-(-3)}{7-(-10)}=\frac{17}{17}=1

Hence mAB=1

There fore mCD=-1

(∵  Product of Slopes of two perpendicular lines is always -1)

Now we find the equation of CD with the help of slope -1 and coordinates of C(5,12)

m=\frac{y-y_1}{x-x_1}

-1=\frac{y-12}{x-5}

-x+5=y-12

y=-x+17

Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x

0=-x+17

x=17

Hence the x intercept is 17

8 0
3 years ago
Chester has less than $25 to spend at the county fair. The entrance fee is $5, and each ride costs $3. The number of rides, r, t
padilas [110]

Answer:

6 rides

Step-by-step explanation:

3r+5<25

3r<20

r<6.67

rides=6

check answer

3r+5<25

3(6)+5<25

18+5<25

23<25

4 0
3 years ago
The surface area of a cube is 24 square inches.<br> What is the side length of the cube?
Alex777 [14]

Answer:

2 inches

Step-by-step explanation:

A cube has 6 faces. Therefore, each face is 4 square inches. (24/6) The side length of the square (face of the cube) is the square root of the area. The square root of 4 is 2. There is your answer :)

3 0
3 years ago
HELP ME PLZ Between 9 P.M. and 6:20 A.M.​, the water level in a swimming pool decreased by 7/12 . Assuming that the water level
ivann1987 [24]

Answer:

0.06245

Step-by-step explanation:

Decrease 7/12=0.583

from 9 p.m to 6:20 am is 9:20= (9+20/60) = 9.33 hours

0.583/9.33 = 0.06248

round the 0.06248 to 0.06245

3 0
3 years ago
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