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muminat
3 years ago
6

Consider 7x10 power of 3.Write a pattern to find the value of the expression.

Mathematics
1 answer:
musickatia [10]3 years ago
5 0

Scientific notation is commonly used by mathematicians, scientists and engineers in expressing too large or too small numbers written conveniently in a form of decimal.

Numbers in scientific notation are written in the form of

m × 10 to the power of n.

example:

300 in scientific notation is 3 x 10 to the power of 2.

where; 3x10x10= 300

Let us consider and evaluate 7 x 10 to the power of 3.

The answer is 7000. How did we get 7000?

7x10x10x10=7000

7x10=70

70x10=700

700x10=7000.

The simplest technique to find the value of expression (in scientific notation) is to count the number of zeros.for instance, 300 has two zeros, the scientific notation of 300 is 3x 10 to the power of 2 or 3x 10 to the second power. In other words, you multiplied 3 to 10 twice. The same thing with 7 x 10 to the third power.

Hope this helps!

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4 is your answer

Step-by-step explanation:

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128+13x=180

13x=180-128

x=52/13=4

7 0
3 years ago
Solve for x. 5x+9=24
OlgaM077 [116]

Answer:

5x = 24 - 9 \\ 5x = 15 \\ x =  \frac{15}{5}  \\ x = 3

6 0
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A survey reveals that the sales of smartphones is increasing considerably. The average annual sales of smartphones, in million u
padilas [110]

Answer:

C. When the survey was initially conducted average sales of smartphones was 1.7 millions units.

Step-by-step explanation:

We have been given that the average annual sales of smartphones, in million units, n years after the survey is conducted is modeled by function p(n)=1.7\cdot b^n, where the parameter b is an unknown positive base.


We are asked to find the true statement about our given function.

A. If b= 1.45, the annual growth rate of the sales of smartphones is 145%.

Since we know that b equals (1+r) for growth function, where r is in decimal form.

If b=1.45, it means that the annual growth rate will be 45% as 0.45 is decimal form of 45%, therefore, statement A is not true.

B.  If b= 1.02, annual sales of smartphones will double in 2 years.

If b=1.02, it means that the annual growth rate will be 2% as 0.02 is decimal form of 2%, therefore, statement B is not true.

C. When the survey was initially conducted average sales of smartphones was 1.7 millions units.

Since we know that an exponential function is in form y=a*b^x, where a in initial value of function. We can see from our given function that a equals 1.7, therefore option C is a true statement.

D. The average sales of smartphones increases by 1.7 millions units every year.

Since our function is not a linear function, instead it is an exponential function, so rate of change can not be constant.

Therefore, option D is not true regarding our given function.

7 0
3 years ago
Three vertices of a rectangle have coordinates (3,4), (5,−4), and (−7,−7). Determine the fourth vertex of the rectangle and then
Ket [755]
The fourth vertex would be at point (-9,1).
The slope from (5,-4) to (3,4) is -8/2 or -4.
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7 0
3 years ago
pls help me literally pls help me i need this done before tmr ad i have alot more to do pls help thanks
julsineya [31]

Answer:

y = −3x+7

Step-by-step explanation:

m = slope

slope = change in y / change in x

slope = ▲y/▲x

slope = -3 / 1

slope = -3

y-intersect = (0,7)

The slope-intercept form of linear equation:-  

y = mx + b

where:

m = the slope

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*we plot the information we have get in the formula

y = mx + b

y = -3x + 7

*and this is the equation of the graph

8 0
3 years ago
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