MATHEMATICS HIGH SCHOOL

What is the correct value of log_(10)(3.5) ? Round your answer to two decimal places.

Answers

Answer 1

Answer:

Answer: 3.5

Step-by-step explanation:

Log(10)(3.5) = 3.5

log(10)=1

1(3.5) = 3.5

Answer 2

Answer:

Final answer:

The common logarithm, or log base 10, of 3.5 is about 0.544068. However, when rounded to two decimal places, it is 0.54.

Explanation:

The question is asking for the value of log_(10)(3.5). To find this, you would need to use a calculator that has a logarithm function. This value does not have a simple, exact decimal representation, but it can be approximated. Using a calculator, we find the common logarithm, or log base 10, of 3.5 to be approximately 0.54.

However, the question asks us to round this answer to two decimal places. So, using the rules of rounding numbers, we can round 0.544068 to 0.54.

Remember, when you're rounding numbers, if the digit after the place to which you're rounding is 5 or greater, you round up, otherwise, you round down.

Note: Before the days of calculators, we used log tables. Nowadays, we have a simple and easy way to calculate logs - calculators! If you are using a scientific or graphing calculator, there is typically a 'log' button that enables you to calculate logs at the push of a button.

Learn more about Logarithm here:

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5+ 10 + 6x 1/10 + 7x1000 in decimal form.

Answers

Remember order of operations. Please (Parenthesis and brackets) Excuse (exponents) My (multiplication) Dear (Division) Aunt (Add) Sally (Subtract). Also remember that multiplication and division as well as addition and subtraction should go from left to right. So if you were to do this problem first I'd convert the fraction 1/10 to a decimal. That's like saying 1 in 10 or 10%. So it should convert to .10 x 6 = 0.60 and don't forget to multiple 7 x1000 next. (Left to right). 7,000. So it becomes 5+10+0.60+7,000 then add. 7,015.60 is your answer.

Sally's cat is 5 years older than Helen's dog. The product of their ages is 104. How old is Helen's dog?A. 55

B. 49

C. 8

D. 13

Answers

Helen's dog is 8 and Helens cat is 13 if you multiply those two together you get a product of 104 so the answer is C = 8

The answer should be C. The formula would be x=104-5/ what ever number is more than the number you need to find.

What is the 50th term of the arithmetic sequence 4, 10, 16, 22, … ?Can someone explain this one?

Answers

The equation appropriate for this is
$a_(n)=a_(1)+(n-1)d$
Wherein $_(n)$ is the missing term, $a_(1)$ is the first number in the sequence, and $d$ is the difference between the numbers.
So $a_(50)=4+(50-1)6$
$a_(50)=4+(49*6)$
$a_(50)=4+(294)$
$a_(50)=298$
*Sorry for the error.

298, also 4 is first term. 49 terms left. 49*6=294
294+4=298

Convert 9900 pints into cups

Answers

Answer:19800

Step-by-step explanation:

Answer: 19,800 cups

Step-by-step explanation:

Find correct two decimal places, the radius of the circle with the given circumference: 35cm

Answers

$C=2 \pi r$
C - circumference, r - radius

$C=35 \ [cm] \n \n35=2 \pi r \nr=(35)/(2 \pi) \nr=(17.5)/(\pi) \n\boxed{r \approx 5.57 \ [cm]}$

$C=2\pi r=35\n2\pi r=35\nr=(35)/(2\pi)\approx5.57\text{ cm}$

9(n+3)=7n-3 and steps please

Answers

The value of n in the given expression is -15

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

For example : - 3y+4, 8u+8, 9i+5, a+2, a+c etc.

Given that, an expression, 9(n+3) =7n-3, we need to find the value of n

Solving for n,

9(n+3) =7n-3

Using distributive property,

9n + 27 = 7n -3

Combining like terms, by transposing,

9n - 7n = -3-27

2n = -30

Diving by 2 both sides

n = -15

Hence, the value of n in the given expression is -15