Natural Logs Propertydo not include any spaces when trying to type in your answer if you have an exponent use ^

Answer:

600

Step-by-step explanation:

2 X 3 = 6

20 has one 0

30 has one 0

one 0 and one 0 is two 0s

6 plus two 0s = 600

Area of rectangle is given by:-

So the correct answer is

by the distributive law x(y+z)=zy+xz, we have

Then we use the properties of inequalities, we can switch both sides, and if we add or multiply something on both sides the equality remains

we want the variables and the numbers without variables to be in different side, so, first we add 20 to both sides, note that the -20 will be cancelled

we want to left all the numbers with variable on the right side so we substract 3b (add -3b) to both sides. Same as before, the 3b will be cancellated (we can change the order in the sum)

of course, you're welcome

I was asking if you have understood my explanation so far

tell me

it doesn't matter the order, in fact, when you get used to the method you can work with both at the same time

any other question?

yes, you could substrac 3b first

For example

sadly I will need to leave since my shift is over, but if you ask another question one of my partners will help you

Have a nice evening!!!!

then we add like terms and switch both sides

And then we multiply by 1/5 both sides

SOLUTION:

This is a combination problem.

The number of ways 3 students from a class of 23 be chosen for a field trip is;

The Variance of a set of data is defined as the average of the square of the deviation from the mean.

The first step is to calculate the mean of the data.

Now we take the difference from the mean, square it, and then average the result.

Hence, the variance of the data is 6.7 (rounded to the nearest tenth)

His temperature was 100.1 degree farad initially which is around 6 pm. At 7 pm it became 101 degree farad.

y = mx + b

where

m = slope

b = y - intercept

let find the y intercept

Therefore, the equation is

e. let us draw a graph

His temperature will be critical above 22 minutes past 9 pm.

f . He should go to emergency room.

g.

His temperature will be normal around past 4 pm which is 98.6 degree farad.

Answer:

ratio of those who picked juice to milk

it refers to division

Answer:

The difference is aproximately 3700.

Step-by-step explanation:

First, we'll round each number to the nearest hundred:

Now, we can estimate the difference:

This way, we can conlcude that the difference is aproximately 3700.

Using the triangle sum theorem:

Using the exterior angle theorem:

Answer:

100

1) Problems like these, we can solve by writing an equation.

2)Since that tomato plant grew 150% after three weeks we can write the following

Note that in the parentheses we have the factor of growth. Since it's 150% we can add to 1 and write 1 +1.5=2.5

3) Thus, the answer is:

we have the following:

They are related in the way taht if we replace, in both equations it gives the same result:

We have to solve the system of linear equations:

We can substract 2 times the second equation for the first equation and solve for y:

Now, we can solve for x:

Answer: (x,y)=(6,-11)

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given equation

STEP 2: State the law of logarithm

STEP 3: Substitute the given values in the question to get the correct answer

Hence, Answer is:

OPTION A

The formula for the area of sector is,

Substitute the values in the formula to obtain the area of sector FGH.

So area of sector FGH is 188.50.

Using Sine of angles to evaluate for x

The formula is,

Given:

Therefore,

Simplify

Hence,

Bobby is right because the measurements were made smaller so the dilation factor must be a number less than 1, and 1/3 is less than 1

We know that 1+i is a root of the polynimial. This also implies that 1-i is also a root of the polynomial. In other words, the term

is a factor of our polynomial. This last expression can be written as

so, in order to find the remaining zero, we can compute the following division of polynomials,

which gives

Therefore, the remaining root is x=1.

In summary, the answer is:

Ok, so:

We're going to factor this expression:

3a² - 24a + 48

First of all, we multiply and divide by 3 all the expression, like this:

3(3a² - 24a + 48) / 3

Now, we can rewrite this to a new form:

( (3a)² - 24(3a) + 144) / 3

Then, we have to find two numbers, whose sum is equal to -24 and its multiplication is 144.

And also we distribute:

((3a - 12 ) ( 3a - 12 )) / 3

Notice that the numbers we're going to find should be inside the brackets.

So, these numbers are -12 and -12.

Now, we factor the number 3 in the expression:

(3(a-4)*3(a-4))/3

And we can cancel one "3".

Therefore, the factored form will be: 3 (a - 4) (a - 4)

So, the answer is B.

1) To find the relative maxima of a function, we need to perform the first derivative test. It tells us whether the function has a local maximum, minimum r neither.

2) Let's find the points equating the first derivative to zero and solving it for x:

4) Finally, for the inflection points. We need to perform the 2nd derivative test:

Now, let's plug this x value into the original function to get the y-corresponding value:

We have the function:

And we need to find its value when x = -12. So, replacing x with -12, we obtain:

Notice that the product of two negative numbers is a positive number.

Therefore, the answer is -5.2.

The first figure has 3 tiles

The second figure has 8 tiles

The third figure has 15 tiles

The 4th figure has 24 tiles

The 5th figure has 35 tiles

The 6th figure has 48 tiles

Each time we increased row and column

So the rule is

a(n) = n(n + 2)

Let us use the rule to find figure 46

n = 46

The number of tiles in figure 46 is 2208

Answer: 3/8

Step-by-step explanation:

Given:

[tex]B-(-\frac{1}{8} )+c[/tex]

replace variables with their given values: b = 2 and C = 7/4

[tex]2-(-\frac{1}{8})+\frac{-7}{4}[/tex]

to make subtracting and addition easier, make each number has the same common denominator.

[tex]\frac{16}{8} -(-\frac{1}{8})+(\frac{-14}{8})[/tex]

Finally, solve equation.

***remember that subtracting a negative is the same as just adding and adding by a negative is the same as simply subtracting.

[tex]\frac{16}{8} -(-\frac{1}{8})+(\frac{-14}{8})=\frac{16}{8} +\frac{1}{8}-\frac{14}{8}[/tex]

= 3/8

Answer:

3/8

Step-by-step explanation:

2 - (-1/8) + (-7/4)

= 17/8 - 7/4

= 17/8 + -7/4

= 3/8

The simplification of the expression will be; 15t³  + 9t² + 14y

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions. To derive equivalent expressions of some expressions, we can either make them look more complex or simple.

Given that the expression as 8t³ + 8y + 7t³ + 6y + 9t²

Now combining like terms;

8t³  + 7t³ + 9t² + 8y + 6y

Simplify;

15t³  + 9t² + 14y

It cannot be solved further because of unlike terms in the expression.

Therefore, the simplification of the expression will be; 15t³  + 9t² + 14y

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Using the area of the rectangle we know that 80½ tiles will be needed to cover the wall.

So, tiles needed to cover the wall:

Calculate the area of a tile as follows:

Now, calculate the area of the wall as follows:

Then, tiles needed to cover the wall:

Which means: 80½

Therefore, using the area of the rectangle we know that 80½ tiles will be needed to cover the wall.

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Considering the given fractions

You have to find the least common denominator between the denominators "20" and "50"

For these values, the least common denominator is the least common multiple between both values:

So, the least common denominator is 100.

To prove :

every differentiable function is continuous.

thus, every differentiable function is continuous.

The given inequality is expressed as

We would add 10 to both sides of the inequality. It becomes

We would divide both sides by - 3. This would cause the inequality symbol to reverse. It becomes

The graph would be

The shaded circle at the position of - 2 indicates that- 2 is inclusive