Consider 7 x 10 to the 3rd power in a pattern to find the value of the expiration expression

Answers

Answer 1
Answer:

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!

Answer 2
Answer: 7*10 = 70 so 70 to the 3rd power would be 70*70*70 which would be 343000

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Determine if the number is written in scientific notation. if not explain 5.6 x 10^12 A. no its not written as a power of 10
B.no the first factor is not a number between 1 and 10
C. yes the number is written in scientific notation

Answers

A is the correct answer that is your answer

Write an equation to represent the sentence.Nine times a number y subtracted from 85 is seven times the sum of four and y.

Answers

The equation for nine times a number y subtracted from 85 is seven times the sum of four, and y is 85 - 9y = 7(4 + y).

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation in the word is "Nine times a number y subtracted from 85 is seven times the sum of four and y"

Let the number is y:

The nine times a number  = 9y

Subtract from 85:

85 - 9y

Seven times the sum of 4 and y = 7(4 + y)

Now on equating:

85 - 9y = 7(4 + y)

Thus, the equation for nine times a number y subtracted from 85 is seven times the sum of four, and y is 85 - 9y = 7(4 + y).

Learn more about the linear equation here:

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Answer:

85 - 9Y = 7(4 + Y)

Step-by-step explanation:

Nine times a number Y. = 9 * Y = 9Y

subtracted From 85 = 85 - 9Y........... Equation 1

seven times sum of 4 and Y = 7(4 + Y)....... Equation 2

Equate Equation 1 and 2

85 - 9Y = 7(4 + Y)

A long distance telephone company advertised the rates of 5 minutes for 85¢ and 10 minutes for $1.10.Use a linear equation to find the cost of a 25 minute phone call.

Answers

Let x represent the number of minutes and y the cost. Then
y - 0.85 = (1.10 - 0.85)/(10 - 5) (x - 5)
y - 0.85 = 0.25/5 (x - 5) = 1/20 (x - 5) = 1/20 x - 1/4
y = 0.05x - 0.25 + 0.85 = 0.05x + 0.6
y = 0.05x + 0.6

The cost of 25 minutes = 0.05(25) + 0.6 = 1.25 + 0.6 = $1.85

Simplify open parentheses x to the 4 fifths power close parentheses to the 3 sevenths power . x to the 7 twelfths power x to the 12 over 35 power x to the 13 over 35 power x to the 43 over 35 power

Answers

Answer:

x to the 12 over 35

Step-by-step explanation:

Given expression,

Open parentheses x to the 4 fifths power close parentheses,

\implies (x^(4)/(5))^(3)/(7)

By using the property of exponent (a^m)^n=a^(mn)

We get,

=x^{(4)/(5)* (3)/(7)}

=x^(12)/(35)

= x to the 12 over 35,

Second option is correct.

i only know the answer to the first one and i think its (x^4)3^7= 2187x^4 im not sure. It might be wrong.

Find the missing value 6x=12

Answers

According to the order of operations, the first thing you need to do is divide both sides by 6.

6x ÷ 6 = 12 ÷ 6

That gets x on one side by itself, making x = 2

The missing value of 6x = 12 is 2
2 is the answer also u can just think of it as dividing

Given right triangle DEF, what is the value of tan(F)?

Answers

we know that

In the right triangle DEF

the tangent of the angle F is equal to

tan(F)=(opposite\ side\ angle\ F)/(adjacent\ side\ angle\ F)=(DE)/(EF)

substitute the values

tan(F)=(40)/(9)

therefore

the answer is the option

(40)/(9)

Answer: (40)/(9)

Step-by-step explanation:

We know that for any angle x in a triangle ,

\tan x=\frac{\text{side opposite to x}}{\text{side adjacent to x}}

Now, for the given triangle DEF, the value of tan(F) is given by :-

\tan F=\frac{\text{side opposite to F}}{\text{side adjacent to F}}\n\n\Rightarrow\ \tan F=(40)/(9)

Hence, the value of tan(F) = =(40)/(9)

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