8 cm
3 cm
4 cm
Find the area of the isosceles trapezoid.
A)
24 cm2
B)
30 cm2
C)
36 cm
D)
48 cm?

Answer:

Option 1. The mean Arm Span for class A is much lower than Class B's.

Step-by-step explanation:

I hope you will be able to understand from this pic. Actually It's called Stem and Leaf Display.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

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We have 2 expressions:

Case a.

We can rewrite our square root as

but by definition

which is the imaginary number. So, our square root is equal to

which corresponds to option 3.

Case b.

Similarly,

and the answer is

which corresponds to option 6

Using the concept of permutation, the company can generate 108,927 different employee ID codes.

To know the number of employee ID codes that's generated, we can check the number of possibilities of each component and multiply them together.

Given:

- Two letters can be chosen from 23 letters (excluding D, G, and Z).

- One digit can be chosen from 9 digits.

- One letter can be chosen from 23 letters (excluding D, G, and Z).

Number of possibilities for the first letter = 23

Number of possibilities for the second letter = 23

Number of possibilities for the digit = 9

Number of possibilities for the third letter = 23

To calculate the total number of employee ID codes, we multiply these possibilities together:

By using the concept of permutation;

Total number of ID codes = 23 × 23 × 9 × 23

Total number of ID codes = 108,927

Therefore, the company can generate 108,927 different employee ID codes.

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By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

0 5 2 -2

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 5)/(0 - 3)

Slope (m) = -9/3

Slope (m) = -3

At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 3(x - 3)  

y + 5 = -3(x - 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The following answers are given as:

2.1)

2 teaspoons of vinegar are needed for 5 teaspoons of olive oil.

2.2)

8 teaspoons of vinegar are needed for  20 teaspoons of olive oil.

2.3)

There are 12 teaspoons of vinegar and 30 teaspoons of olive oil in the 42 teaspoons of salad.

2.4)

There are 4 teaspoons of vinegar and 10 teaspoons of olive oil in the 14 teaspoons of salad.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

6 teaspoons of vinegar = 15 teaspoons of olive oil.

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 2 on both sides.

2 teaspoons of vinegar = 5 teaspoons of olive oil.

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 8 on both sides.

8 teaspoons of vinegar = 20 teaspoons of olive oil.

Now,

Total number of teaspoons = 42

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 12 on both sides.

12 teaspoons of vinegar = 30 teaspoons of olive oil.

12 + 30 = 42 teaspoons

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 4 on both sides.

4 teaspoons of vinegar = 10 teaspoons of olive oil.

4 + 10 = 14 teaspoons

Thus,

2 teaspoons of vinegar are needed for 5 teaspoons of olive oil.

8 teaspoons of vinegar are needed for  20 teaspoons of olive oil.

There are 12 teaspoons of vinegar and 30 teaspoons of olive oil in the 42 teaspoons of salad.

There are 4 teaspoons of vinegar and 10 teaspoons of olive oil in the 14 teaspoons of salad.

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Answer:

hello

Step-by-step explanation:

\(137 = - 151 + t \\ 137 + 151 = t \\ t = 288\)

hope this is correct.

The possible ways Elsie (combinations) can store her 12 coins in the bags she purchased is 6 ways

A combination is the number of possible arrangements.

The number of coins = 12 coins

The number of black bags = Many

Number of coins per bag = The same number of coins

Required;

The number of ways Elsie can store her coins

Solution;

The ways the coins can be stored is given by the factors of 12 which are; 1, 2, 3, 4, 6, and 12

The coins can therefore be stored as follows;

The possible number of ways Elsie can store the coins is 6 ways

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The inverse function:  \(f^{-1} (x) =\) \((\frac{x -5}{5} )^{2} -13\)

The inverse is defined on the domain x < 5 and x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5.

A function is a relationship that exists between two sets of numbers, with each input from the first set, known as the domain, corresponding to only one output from the second set, known as the range.

Given function is;   \(f(x) = 5\sqrt{(x + 13)} + 5\)

To find the inverse of the given function, we first replace f(x) with y:

⇒  \(y = 5\sqrt{(x + 13)} + 5\)

Subtract 5 from both sides:

⇒ \(y -5 = 5\sqrt{(x + 13)}\)

⇒ \(\frac{(y -5)}{5} = \sqrt{(x + 13)}\)

⇒ \((\frac{y -5}{5} )^{2} = x + 13\)

⇒ \((\frac{y -5}{5} )^{2} -13 = x\)

Now we have x in terms of y, so we can replace x with f⁻¹(x) and y with x to get the inverse function:

f⁻¹(x) = \((\frac{x -5}{5} )^{2} -13\)

The domain of the inverse function is x ≥ 5, because this is the range of the original function, and we were given that the inverse is defined on the domain x < 5. However, we must also exclude the value x = 5, because the denominator of the fraction \((\frac{x -5}{5} )^{2}\) becomes zero at this value. Therefore, the domain of f⁻¹(x) is x > 5.

We were given that x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5. Therefore, the domain of the inverse function becomes the range of the original function, and the range of the inverse function becomes the domain of the original function.

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Using it's concept, it is found that the probability of guessing the right combination in one try’s is of \(\frac{1}{1296}\).

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 4 dials, each with a \(\frac{1}{6}\) probability of getting it correct, hence the probability of getting the right combination is given by:

\(p = \left(\frac{1}{6}\right)^4 = \frac{1}{1296}\).

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2

1) Given that we're told to divide it using synthetic division, let's divide that polynomial

2) Enlisting the coefficients:

5 10 17 34 75 150

Let's try 2 as the zero, since

(x-2) =0

x-2 =0

x=2

2.2) Let's fill in the grid, by writing the coefficients orderly. Note that we don't have an x^5 term, so we'll write 0 instead. On the left upper place, we'll write the zero x=2, or simply 2.

Then we'll bring it down the highest coefficient.

We'll multiply 5, and then 10, by each number on the 1st row

So the answer to the question is 2, since the divisor box must be filled by the zero of this equation (x-2), x-2=0, x=2.

Answer:

like 20 percent

Answer: 45

Step-by-step explanation:

The total profit in all was \(1040-900=\$ 140\).

The total profit per pizza was \((0.50)(8)=\$4\).

This means they sold \(\frac{140}{4}=35\) pizzas.

Adding this to the 10 pizzas held back, there were \(35+10=45\) pizzas in the original order.

Answer:

im pretty sure its c-no the corresponding sides are not proportional

Step-by-step explanation:

Answer: 1/3 or 1 divided by 3 is equivalent to 0.333333

Answer:

0,33

Step-by-step explanation:

this for sure.......

Answer:

$1800

Step-by-step explanation:

twelve months in a year 12*2=24

75*24=1800

Answer:

$1800

Step-by-step explanation:

2 years is 24 months

75*24=1800

Answer:

2x^2  y^3

Step-by-step explanation:

so its 2x then squared by 2 then y and squared by 3 all together making 2x^2y^3

The y-intercept of the line representing Beatrice's monthly music is 20

From the question, we have the following parameters that can be used in our computation:

y = -.95x + 20

To calculate the y-intercept of the line, we set x = 0

So, we have

y = -.95 * 0 + 20

Evaluate

y = 20

Hence, the y-intercept of the line representing Beatrice's monthly music is 20

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Question

What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?

The equation is y = -.95x + 20

We will investigate the formulation of an equation of a straight line.

All equation of a straight line are mostly expressed in the general slope-intercept form as follows:

Where,

The above two parameters ( m and c ) distinguish amoung different equation of a straight line.

We are given the values of the two parameters as follows:

We will go ahead and plug in the respective values of the two parameters in the generalized formulation of an equation of a straight line:

Therefore, the equation of the straight line is:

3990

Step-by-step explanation:

57*70=3990

Answer: 2

Step-by-step explanation:

Answer:

\(3\sqrt{22}\)

Step-by-step explanation:

The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)

Multiply

Answer: -27

Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.

3, 9, -3, 3, -9, -3, -15, -9, -21, ?

We can start by looking at the differences between consecutive terms in the list:

9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12

Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:

-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21

Therefore, we predict that the most probable next number in the list is -27.

Answer:

Yes, it is 2/9.

Step-by-step explanation:

You want to draw a red ball first, and then a blue ball.

This means the order would be RB.

Count the amount of options that are "RB" and you get 2.

There are 9 options in total.

Probability: \(\frac{2}{9}\)

Answer:

5m

Step-by-step explanation:

marbles in 5 bags= 5 x m= 5m

The tuxedo was rented for 4 days.

Let's start by assigning variables to the unknowns. Let "x" be the number of additional days rented, and "d" be the total number of days rented (including the first day).

From the given information, we know that the flat fee for the rental is $150, so the cost of the additional days is the total cost minus the flat fee, which is $300 - $150 = $150. We also know that the cost for each additional day is $50. Therefore, we can set up the equation:

$150 + $50x = $300

Subtracting $150 from both sides, we get:

$50x = $150

Dividing both sides by $50, we get:

x = 3

So the tuxedo was rented for 3 additional days, making the total number of days rented:

d = 1 + 3 = 4

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Answer:

j=h-4/k    this is the answer if you are solving for j

Step-by-step explanation:

Answer:

(2,3,4,5,6,7)

6

Step-by-step explanation:

I thought I'm wrong ...