1. In ∆MNO, what is the included side of <M and <O?

2. In ∆ABC, what is the included angle of sides AB and AC?
​

A nonzero number is any number that is not equal to zero. . Examples of nonzero numbers include 1, -5, 2.71828, 0.001, -10/3, √2 etc.

A nonzero number is any number that is not equal to zero. This means that it has a numerical value that is greater than or less than zero. Zero itself is not considered a nonzero number because it does not have a positive or negative value.

For example, the number 7 is a nonzero number because it has a value of 7, which is greater than zero. Similarly, the number -3 is also a nonzero number because it has a value of -3, which is less than zero.

Nonzero numbers are important in many areas of mathematics and science, particularly in calculations involving multiplication, division, and fractions. For instance, if you have a nonzero number such as 5 and you want to divide it by another nonzero number such as 2, you would get a result of 2.5, which is also a nonzero number. If one of the numbers were zero, the result of the division would be undefined.

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The recursive sequence to represent how many papers Josiah has remaining to grade after working for n hours is aₙ = aₙ₋₁ - 8

Let aₙ be the number of papers Josiah has remaining to grade after working for n hours.

In the first hour, Josiah grades 8 papers, so the number of papers remaining is:

a₁ = 44 - 8 = 36

In the second hour, Josiah grades another 8 papers, but this time he is grading papers from the remaining pile:

a₂ = a₁ - 8

= 36 - 8 = 28

In general, after n hours, Josiah will have graded 8n papers, and the number of papers remaining to be graded will be:

aₙ = aₙ₋₁ - 8

This is because he starts with a₀ = 44 papers, and each hour he grades 8 papers, reducing the number of papers remaining by 8.

Therefore, the recursive sequence to represent how many papers Josiah has remaining to grade after working for n hours is aₙ = aₙ₋₁ - 8

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The only statements that is true about the information on the table are:

Ratio is simple math.

The number of people who wish for invisibility are: 12 ; while

The number of people who wish for flight are: 8

Thus the ratio will be given as:

8/12 further simplified by dividing by 4, we have

(8/4) : (12/4)

= 2:3

Hence, only the last statement is true.

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Answer: the first box should have 1:6 in it, the second, 2:9, and the last should have 2:3 in it

hope this helped :)

Answer:

120 in² hope it helped lol

Answer:

40^4 - 324 = 2,559,676

Step-by-step explanation:

First we need to factor the left side of the equation, which is 40 to the 4th power. 40*40*40*40 is 2,560,000, now we need to subtract 324 from it which is 2,559,676.

Answer:

For the book standing on the left you have a choice out of all

6

, for the next one you choose from the

5

left, and so on.

Explanation:

So the total number of arrangements you have:

6

×

5

×

4

×

3

×

2

×

1

=

720

Usually this is written as

6

!

, pronounced "6 factorial"

(factorial meaning the product of all whole numbers from

1

up to and including the one before the

!

)

Step-by-step explanation:

CORRECT ME IF IM WRONG

Answer:

c = -10

Step-by-step explanation:

Hello!

According to the question we need to solve for c in the equation -49 = 2c - 29

-49 = 2c - 29

Flip the equation

2c - 29 = -49

Add 29 to both sides

2c - 29 + 29 = -49 + 29

2c = -20

Divide both sides by 2 to single out the variable

2c/2 = -20/2

c = -10

So, the value of c is -10

Answer:

The circumference is 50.24 in

Step-by-step explanation:

The circumference formula is C = 2πr where C = Circumference, π = pi and r = radius. We know that r = 8 and π = 3.14 and that we're solving for C, so we can substitute those values into the equation to get C = 2 * 3.14 * 8 = 50.24 in.

When you flip two coins 28 times, the best prediction possible for the number of times both coins will land on heads is 7 times.

This can be explained with the following calculations:

When flipping a coin, the chance of getting heads or tails is 1/2 or 0.5.

If you flip two coins, the probability of getting two heads is calculated by multiplying the probability of getting heads on the first coin by the probability of getting heads on the second coin, which is (1/2) x (1/2) = 1/4 or 0.25 or 25%.

To calculate the expected number of times both coins will land on heads in 28 flips, we use the following formula:

Expected value = Probability x Total number of flips

Expected value = 0.25 x 28

Expected value = 7

Therefore, the best prediction possible for the number of times both coins will land on heads is 7 times.

It's important to note that this is only a prediction, and the actual number of times both coins land on heads could be more or less than 7.

This is because probabilities are based on chance, and chance outcomes can be unpredictable.

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The most appropriate choice for Simultaneous linear equation will be given by -

8 packages of coffee and 4 packages of tea are sold.

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here,

A coffee shop sold 11 packages of coffee and 50 packages of tea, for which customers paid a total of $288

So,

11x + 50y = 288 ...............(1)

The day before, 12 packages of coffee and 38 packages of tea was sold, which brought in a total of $248

So,

12x + 38y = 248

2(6x + 19y) = 248

6x + 19y = \(\frac{248}{2}\)

6x + 19y = 124 ....................(2)

Multiplying (1) by 6 and (2) by 11,

66x + 300y = 1728

66x + 209 y = 1364

Subtracting above two equations,

91 y = 364

\(y = \frac{364}{91}\)

y = 4

Putting the value of y in (2),

6x + 19\(\times\)4 = 124

6x + 76 = 124

6x = 124 - 76

6x = 48

\(x = \frac{48}{6}\\x = 8\)

8 packages of coffee and 4 packages of tea are sold.

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The most appropriate choice for Simultaneous linear equation will be given by -

8 packages of coffee and 4 packages of tea are sold.

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here,

A coffee shop sold 11 packages of coffee and 50 packages of tea, for which customers paid a total of $288

So,

11x + 50y = 288 ...............(1)

The day before, 12 packages of coffee and 38 packages of tea was sold, which brought in a total of $248

So,

12x + 38y = 248

2(6x + 19y) = 248

6x + 19y =

6x + 19y = 124 ....................(2)

Multiplying (1) by 6 and (2) by 11,

66x + 300y = 1728

66x + 209 y = 1364

Subtracting above two equations,

91 y = 364

y = 4

Putting the value of y in (2),

6x + 194 = 124

6x + 76 = 124

6x = 124 - 76

6x = 48

8 packages of coffee and 4 packages of tea are sold.

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Answer:

B

Step-by-step explanation:

Answer:

23%

Step-by-step explanation:

The maximum height which the rocket attains is 80 m and the time taken by the rocket is 8 sec.

Given,

the following formula yields the height h,

h= -5t² + 40t +45

45m is the height of the launch pad.

We take the first derivative of the function h and then set it to zero to determine the height the rocket reaches.

h' = 0

-10t + 40 =0

-10t = -40

 t = 4

Therefore, height reached by the rocket in time t = 4 is,

h= -5t² + 40t +45

  = -5(4)²  + 40(4) + 45

  =125 m

As a result, the rocket can reach:

125- 45

= 80 m

(To determine the real height the rocket travels, we have subtracted the height of the launch pad.)

The rocket takes twice as long to launch as it does to reach the peak.

t = 2*4 = 8 sec

Therefore,

the rocket goes 80 meters in height

the rocket's flight time is 8 seconds.

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Answer:

length is 9.375 inches

Step-by-step explanation:

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape

so

new length is l then, 1/2 = l/18.75 = > l = 18.75/2 = 9.375

A linear equation in​ slope-intercept form that models the description is c = 1.50m + 8.50.

Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Assuming the variable c represent the total cost and the variable m to represent the number of movie rentals, a linear equation in​ slope-intercept form that models the scenario is given by:

c = 1.50m + 8.50.

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Answer:

The answer for \(m\) :

\(m = -17\)

Step-by-step explanation:

Solve for \(m\) :

\(-6 + m = -23\)

Add both sides by 6:

\(-6 + 6 + m = -23 + 6\)

\(m = -17\)

So, the answer is \(x = -17\)

Exercise needs to be consistent and done at regular times. The body can adjust more effectively and swiftly when there is consistency. Exercise should ideally be performed 3-5 times per week.

Exercise is any physical activity done to increase one's physical or mental fitness.

Exercise and physical activity not only aid to enhance physical health but also help to promote mental health.

A healthy mind follows from a healthy body.

By lowering body weight, frequent physical activity lowers the risk of developing serious conditions like heart attack, cardiovascular disease, diabetes, and high blood pressure. Regular exercise revitalizes the body and the mind.

Additionally, it raises energy levels, mood, and sleep quality.

Hence, Exercise must be performed consistently and at regular intervals. When there is consistency, the body can adjust more quickly and efficiently. The ideal number of times to exercise per week is three to five.

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There are 55 children in total, and each team will have 27 children.

Now, you mentioned that there are 55 children in total. To find out how many children are on each team, we need to divide the total number of children by the number of teams. In this case, there are two teams, so we divide 55 by 2.

When we divide 55 by 2, we get 27.5. However, we cannot have half a child on a team, so we need to round the number to the nearest whole number. In this case, the median can be used to determine the most appropriate rounding.

The median is the middle value of a set of numbers. In this case, if we arrange the numbers 1, 2, 3, ..., 55 in ascending order, the median will be the 28th number.

Now, we have two options for rounding. We can either round up to 28 or round down to 27. Since we cannot have a partial player, we must decide which option is most appropriate.

In this case, it's best to have an equal number of players on each team. Therefore, we'll round down to 27. This means that each team will have 27 children.

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Answer:

v=4/7

Step-by-step explanation:

81/8 = 1/3v + 25/8 - 23/6v

-25/8            -25/8

56/8 = 1/3v -23/6v

56/8 = 24/6v

24/6 / 56/8

4/7

Answer:

10 successful free throws

Step-by-step explanation:

40x25%=10

Answer:

The point of intersection between 2x+3y=12 and 2x-y=4 is (3,2)

Step-by-step explanation:

Answer:

Point X

Step-by-step explanation:

Answer:

y = 80x + 5000

Step-by-step explanation:

Based on the observation that 18 out of the last 60 men who walked by had a beard, we can calculate the b of men with a beard as.

18/60 = 0.3
This means that 30% of the men who walked by had a beard. To estimate how many of the next 90 men who walk by should Bryan expect to have a beard, we can use this proportion to make a prediction:
0.3 x 90 = 27
So Bryan can expect that around 27 of the next 90 men who walk by will have a beard. However, it's important to keep in mind that this is just a prediction based on the observed data, and the actual number of men with a beard may be different.

You want to know how many of the next 90 men who walk by Bryan should he expect to have a beard, considering that 18 out of the last 60 men had a beard.
Step 1: Calculate the probability of a man having a beard based on the observed data.
Probability = (Number of bearded men) / (Total number of men)
Probability = 18/60
Step 2: Simplify the probability.
Probability = 3/10 (by dividing both numerator and denominator by 6)
Step 3: Apply the probability to the next 90 men.
Expected number of bearded men = Probability * Total number of men
Expected number of bearded men = (3/10) * 90
Step 4: Calculate the result.
Expected number of bearded men = 27
Based on Bryan's observation, he should expect 27 of the next 90 men who walk by to have a beard.

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Answer:

see explanation

Step-by-step explanation:

The exponents can only be added if the bases are the same

Here one base is 12 and the other is 11

So the rule of addition is not applicable.

Answer:

Because the bases (12 and 11) are different.

Step-by-step explanation:

You can only add exponents when the bases are the same.

The 33rd term of the given Arithmetic progression will be -132.

What is an Arithmetic progression?

A series of numbers is called a "arithmetic progression" (AP) when any two subsequent numbers have a constant difference. Arithmetic Sequence is another name for it.

Given, first term= a1= 28

and, a93 = -432

we know that, a93 = -432

                   a + 92d = -432 (where d is the common difference)

                  28 + 92d = -432

                     92d = -432-28

                             = -460

                       d = -460/92 = -5.

Now, we can find the a33,

               a33 = a + 32d

                       = 28 + (32× -5)

                       = 28-160

                       = -132.

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Answer:

-4/9

Step-by-step explanation:

-4 x 5 = -20

5 x 9 = 45

so you have -20/45

divide by 5 for both and you get -4/9

Hope this helps!!

From the statements that are provided in the question, the statement that best describes when the plans  is Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.

A word problem are sentences describing a real-life scenario where a problem needs to be solved by mathematical calculation.

Ideally, for the best health benefits, such as increasing strength and aerobic and reduction in heart diseases, it is suggested to do a combination of strength training and aerobic training for at least five times a week.

Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week. is the correct statement

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The factors of the polynomial  t¹² – r³s¹⁵ is (t⁴ + rs⁵)(t⁸ - rs⁵t⁴+ r²s¹⁰). The correct answer is B.

The definition of a factor is a number that completely divides another number. If adding two whole numbers results in an item, the numbers we are adding are variables of the item since the item can be used to separate them.

By using formula

(a³ - b³) = ( a+ b)( a² -ab + b²)

Then,

t¹² – r³s¹⁵ = (r⁴)³ - (rs⁵)³

=(r⁴ + rs⁵)((t⁴)² - rs⁵t⁴ + (r⁵)²)

=(r⁴ + rs⁵)(t⁸ - (rs⁵t⁴) + r²s¹⁰)

Thus, required answer is (r⁴ + rs⁵)(t⁸ - (rs⁵t⁴) + r²s¹⁰), So option (B) is correct.

Your question is incomplete but most probably your full question was

Factor t¹² – r³s¹⁵ is

a.(t⁸ – rs⁵t⁴ – r²s¹⁰)

b. (t⁴ – rs⁵)(t⁸- rs⁵t⁴+ r²s¹⁰)

c. (t⁹ – rs¹²)(t¹⁸+rs¹²t⁹ +r²s²⁴) (t⁴ rs⁵)

d. (t⁸ – rs⁵t⁴)( r²s¹⁰)

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Answer:

hh m jym

Step-by-step explanation:

i..638 l

x: 773-635-629