MATHEMATICS HIGH SCHOOL

What is the measure of angle x?

Answers

Answer 1

Answer:

Answer:

x = 96°

Step-by-step explanation:

96 and x are Alternate exterior angles and are congruent, thus

x = 96°

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A 5 inch tall bamboo shoot doubles in height every 3 days. If the equation y=ab^x, where x is the number of doubling periods, represents the height of the bamboo shoot, what are the values of a and b?

Answers

The correct answer for the question that is being presented above is this one: "x = 2; a = 5; b = 3" A 5 inch tall bamboo shoot doubles in height every 3 days. If the equation y=ab^x, where x is the number of doubling periods, represents the height of the bamboo shoot

Answer:

Given the equations:

$y=ab^x$ ....[1]

where,

a is the initial amount

b is the growth rate.

x is the number of doubling period and

y represents the height of the bamboo shoot.

As per the statement:

A 5 inch tall bamboo shoot doubles in height every 3 days.

⇒y(0)=a= 5 inch

doubles in height every 3 days

then

in 1 days = $(x)/(3)$

then the height of the bamboo shot becomes:

$y=5(2)^{(x)/(3)}$

⇒ $y = 5(\sqrt[3]{2})^x$

On comparing with [1] we have;

⇒ $a = 5 in$ and $b = \sqrt[3]{2}$

Therefore, the value of a = 5 and $b = \sqrt[3]{2}$

Stickers are sold in packages of 15 sheets. If there are 20 students in the class, how many packages of stickers should the teacher buy so that every student gets the same amount of sheets, with none left over?3 packages
4 packages
6 packages
10 packages

Answers

Answer:

4 packages

Step-by-step explanation:

I chose 6 and got it wronge then the teacher said its 4 packages

Hope this helps :)

6 packages.

25 (15 + 15) + 25 (15 + 15) = 40, and there are 20 students

Why do both ways of writing the numbers as ten and ones describe the same number?

Answers

its just the form of counting and not necessarily the different number

Final answer:

Both ways of writing numbers as tens and ones describe the same number because our counting system is based on powers of ten. This means that each place in our numbering system is ten times greater than the place to its right. Scientific and exponential notations simplify arithmetic, making it easier to multiply and divide large and small numbers.

Explanation:

The reason why both ways of writing the numbers as tens and ones describe the same number is because our counting system is essentially based on powers of ten. This powers-of-ten notation effectively means that each place in our numbering system is ten times greater than the place to its right. This principle all stems from human beings starting to count with their ten fingers.

For example, if we consider a number such as 34, this can be expressed as 3 tens and 4 ones. Alternatively, it could also be written in exponential notation as 3x10^1 + 4x10^0, which is still 34. This is because the power (exponent) of 10 correlates with the number of places the decimal point is shifted to give the digit number.

In scientific notation, this makes arithmetic simpler. To multiply two numbers expressed as powers of ten, you only need to multiply the numbers out front and then add the exponents. This way of counting and doing arithmetic is not only easier to write but also simplifies the multiplication and division of large and small numbers.

Learn more about Powers of Ten here:

brainly.com/question/13401005

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log8 (x(x + 6)) = log8 (5x+12)

Please help me!

Answers

As log8(x(x+6)) = log8(5x+12) we can raise e by each side this getting x^2 + 6x = 5x + 12
x^2 + x - 12 = 0
(x+4)(x-3)=0
x=3, x=-4
However we can only do logs of positive number and when -4 is substituted into the equation it gives a negative number so the only true solution is x=3

CORRECT ANSWER GETS BRAINLIEST AND 5 STARS

Answers

Answer:

A) 12 to 27

Step-by-step explanation:

Ratio of girls: 12

Total students: 27

Answer:

The answer is A

Step-by-step explanation:

You are looking for the ratio of Girls to Total students meaning (boys+girls) so you add 15+12=27 that will be your total students and girls is 12 to the ratio is 12 to 27

Are all diagonals also lines of symmetry for any given polyhon

Answers

the diagonals arent a line of symmetry at all

Other Questions

Hailey’s new puppy, sparky, weighed 4 pounds at six weeks old. if the puppy gains 2.5 pounds each month, after how many more months will sparky weigh 14 pounds? is this situation modeled by a linear function or an exponential function?

Andre received $60 for his birthday and put it in his piggy bank. Each week, he puts 3 more dollars in his bank. The amount of money in dollars D in his bank is given by D = 3w + 60 where w is the number of weeks he has saved 3 dollars. His sister Lana helped him find how much money he will have after 4, 15, 20, and 36 weeks. This table shows her results. What is the rate of change using Lana’s values for D and w? Is this a linear model or non-linear model?W 4 weeks 15 weeks 20 weeks 36 weeks D D= 3w =60 D = 3w + 60 D = 3w + 60 D = 3w + 60= 3*4 +60 = 3 * 15 = 3 * 20 + 60 = 3 * 36 + 60= 12 + 60 = 45 + 60 = 60 + 60 = 108 + 60= 72 = 105 = 120 = 168A.The rate of change varies. It is a linear model.B.The rate of change varies. It is a non-linear model.C.The rate of change is . It is a linear model.D.The rate of change is 3. It is a linear model.

.072 ÷345.00 round nearest tenth

If tiffany drove 21 miles using 7 gallons of gas, how many miles did she drive per gallon.?