Dan says that all quadrilaterals are parallelograms. Tom says that it is not true. Explain who is correct??

Answer:

Hi liddywiddy, sorry you had to wait so long

There are 20 teachers in all

Step-by-step explanation:

the ratio 3:2 is now 12:x

12 / 3 = 4

so the multiplier is 4

now:

4x2 = 8

Next we add them: 12+ 8 = 20

Answer:

20 teachers in all

Step-by-step explanation:

12 / 3 = 4,

4 * 2 = 8,

so 12 + 8 = 20

According to the information, this number on an abacus would look like this: tens of a thousand = 10,000, units of a thousand = 6,000, hundreds = 500, tens = 10, and units = 6.

To illustrate this value on an abacus we must find the number of this operation as shown below:

Now we must express it in an abacus, then we must separate each number by classifying it in the type of units to which it corresponds as shown below:

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Answer: We can use the formula:

P(A or B) = P(A) + P(B) - P(A and B)

where A and B are two events.

In this case, we want to find the probability that a randomly selected senior is a varsity athlete or on the honor roll. We can define the events as follows:

A = the event that a senior is a varsity athlete

B = the event that a senior is on the honor roll

From the problem statement, we know:

P(A and B) = 10/200 = 1/20

P(A) = 70/200 = 7/20

P(B) = 68/200 = 17/50

Plugging these values into the formula:

P(A or B) = P(A) + P(B) - P(A and B)

= 7/20 + 17/50 - 1/20

= 21/50

Therefore, the probability that a randomly selected senior is a varsity athlete or on the honor roll is 21/50.

Answer:

685

Step-by-step explanation:

11 hours = 660 minutes

660 + 25

Answer:

I got the exact question so pls hit me up when you find the answer

Step-by-step explanation:

Answer:

The 8 is in the quadrant III and IIII

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Restrictions that limit the settings of the decision variables. Therefore, option C is the correct answer.

Linear programming, mathematical modeling technique in which a linear function is maximized or minimized when subjected to various constraints.

Constraints are conditions or restrictions imposed on a system in order to ensure that it functions properly. In linear programming, constraints are used to limit the settings of the decision variables in order to ensure that the model's objective is met. For example, a constraint might be that the sum of two decision variables must equal a certain value. The constraints help to ensure that the solution obtained from the model is feasible and meets the objectives of the problem.

Therefore, option C is the correct answer.

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The probability that two cards will be drawn at random, without replacement, is 13/18.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application.

Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.

According to our answer-

P(at least 1 green) = 1 - P(no green)

P(no green) = draw yellow on both draws

= P(draw yellow on 1st draw) * P( draw yellow on 2nd draw, given draw yellow on 1st draw)

= 5/9 * 4/8 = 20/72 = 5/18

P(at least 1 green) = 1 - 5/18

= 13/18

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Answer:

750450

Step-by-step explanation:

Answer:

The slope is 3 and equation of the line is y=3x. I think the answer is the 1st option

Step-by-step explanation:

Given:

y=3x

Direct variation equations have the form:

y=kx,

where

k is the constant of proportionality

so k=3

Step-by-step explanation:

\(2p + q = 3 \\ p - 5q = 7 \\ \\ multiply \: the \: second \: equation \: by \: 2 \\ 2p - 10q = 14 \\ 2p - 10q - (2p + q) = 14 - 3 \\ 2p - 10q - 2p - q = 11 \\ - 11q = 11 \\ q = - 1 \\ \\ 2p + q = 3 \\ 2p - 1 = 3 \\ 2p = 4 \\ p = 2\)

On solving the provided question, by the help of BODMAS we can say that - Subtract 22 from both sides is the answer to the given question.

BODMAS and PEDMAS are both names for it in various places. This stands for exponents, parenthesis, division, multiplication, addition, and subtraction. The BODMAS rule states that parentheses must be answered before powers or roots (that is, of), divisions, multiplications, additions, and lastly subtractions. The BODMAS rule states that the degree (52 = 25), parenthesis (2 + 4 = 6), any division or multiplication (3 x 6 (bracket response) = 18), and any addition or subtraction (18 + 25 = 43) come before any other operations.

\(f/3 +22 = 17\)

\(f/3 +22 -22 = 17 -22\) Subtracting the same value from both sides keeps the equation equal.  

Then simplify. The \(+22 and -22= 0\) They "cancel"   \(17-22 = -5\)

\(f/3 = -17 f/3\) is now isolated-- by itself-- in the equation.

If we have to solve  f, the next step we to take is to multiply on the both sides by  3.

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Answer:

C.) y = 3(x - 3)(x - 7)

For the function:

Writing equation:

y = a(x - h)² + k

15 = a(8 - 5)² - 12

15 = 9a - 12

9a = 15 + 12

9a = 27

a = 3

So the equation is:

y = 3(x - 5)² - 12

y = 3(x² - 10x + 25) - 12

y = 3x² - 30x + 63

y = 3(x - 3)(x - 7)

The APR on a loan of $400 with a fee of $52 for two weeks is D) 339%.

The APR or the annual percentage rate refers to the interest rate and other finance fees charged on a loan for a year.

The annual percentage rate represents the actual yearly cost of funds over the term of a loan.

The total payday loan = $400

The fee paid for two weeks = $52

The loan period = 14 days (2 weeks)

The number of calendar days in a year = 365 days

The APR for the payday loan = 339% ($52/$400 x 365/14 x 100)

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According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

Look Below Hope It Helps

Step-By-Step Explanation:

Answer:

Graph C.

Step-by-step explanation:

The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.

To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.

Step 1: Apply De Morgan's laws

NOT (R AND NOT P) can be simplified as (NOT R) OR P.

Step 2: Distributive property

F5 = (P AND Q) OR ((NOT R) OR P)

Step 3: Apply associative property

F5 = (P AND Q) OR (P OR (NOT R))

Step 4: Apply absorption law

F5 = P OR (P OR (NOT R))

Step 5: Apply idempotent law

F5 = P OR (NOT R)

By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.

Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.

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The question probable may be:

Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:

F5 = (P AND Q) OR (R AND NOT P)

Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?

Answer:

Cost of shirt

c = $5.50x

$115.5

20 t - shirts

Step-by-step explanation:

The dependent variable here is Cost of shirt

T - shirt cost , c equation of any number of customers :

The cost per shirt = $5.50

Let the number of shirts purchased = x

Hence,

c = $5.50x

The cost 21 shirts

x = 21

c = $5.50 * 21 = $115. 5

With c = $110

number of shirts, n equals

110 = 5.50x

110/ 5.5 = x

20

= 20 at shirts

Answer:

\(Ship\ A = 40\ miles\)

\(Ship\ B = 30\ miles\)

Step-by-step explanation:

Given

\(d = 50\) --- distance apart

\(Ship\ B = x\)

\(Ship\ A = x + 10\)

The question can be represented with the attached image.

Required

Solve for x

Using Pythagoras theorem, we have:

\(x^2 + (x + 10)^2 = 50^2\)

Open bracket

\(x^2 + x^2 + 20x + 100 = 2500\)

Collect like terms

\(x^2 + x^2 + 20x + 100 - 2500 = 0\)

\(2x^2 + 20x -2400 = 0\)

Divide through by 2

\(x^2 + 10x -1200 = 0\)

Expand

\(x^2 + 40x - 30x -1200 = 0\)

Factorize

\(x(x + 40) - 30(x +40) = 0\)

Factor out x + 40

\((x - 30)(x +40) = 0\)

Split and solve for x

\(x - 30 = 0\ or\ x + 40 = 0\)

\(x = 30\ or\ x = -40\)

Distance can not be negative

So:

\(x = 30\)

Recall that:

\(Ship\ B = x\)

\(Ship\ A = x + 10\)

This implies that:

\(Ship\ B = 30\ miles\)

\(Ship\ A = 30 + 10\ miles\)

\(Ship\ A = 40\ miles\)

Answer:

Step-by-step explanation:

Answer:

\(-2.65\)

Step-by-step explanation:

\(x\\\\ P(x)\)               \(35\\ \\ \frac{156}{2652}\)               \(-5\\\\\frac{2496}{2652}\)

\(E(x)=\frac{156}{2652}\times35-\frac{2496}{2652}\times5\\ =-2.65\)

I hope this helps you

:)

Answer:

417.831823 \(in^{2}\)

Step-by-step explanation:

surface area of cone ;

\(=\pi r^{2}+\pi rl\\ =\pi (7^{2}) +\pi (7)(12)=417.831823 in^{2}\)

Answer:417.831823

Step-by-step explanation:

Answer:

b = 4

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define equation

8b - 12 = 5b

Step 2: Solve for b

Step 3: Check

Plug in b to verify it's a solution.

And we have our final answer!

The RRSP will contain $88,624 when Jesse reaches 65 years old when compounded quarterly.

A financial contract known as an annuity distributes a fixed stream of payments over a certain length of time. An annuity can be used to ensure a stream of income in retirement and can be either an investment or an insurance policy. An annuity can be set up in a number of different ways, such as with a lump sum payment followed by ongoing payments or by a series of ongoing payments spread out over a certain length of time. The number of payments made to finance an annuity depends on the interest rate, the length of the annuity, and the principle amount. An annuity may be funded with a single lump sum payment or a series of recurring payments.

The future value is given by the formula:

\(FV = PMT x (((1 + r/n)^{(n t)} - 1) / (r/n))\)

Substituting the given values we have:

\(FV = 400 x (((1 + 0.036/4)^{(4 (40))} - 1) / (0.036/4))\)

FV = 400 x 221.56

FV = $88,624

Hence, the RRSP will contain $88,624 when Jesse reaches 65 years old.

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The perimeter of the woods is 26 miles if each grid represents one mile in the figure.

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

We know the perimeter of the rectangle = 2(length + width)

As we can see closely in the figure the perimeter of the wood is actually a perimeter of a rectangle if we shift vertical and horizontal lines to make it a complete rectangle.

Let's suppose each grid is expressing one mile.

So the length of the rectangle = 9 miles

The width of the rectangle = 4 miles

The perimeter of the woods  = 2(9+4) = 26 miles

Thus, the perimeter of the woods is 26 miles if each grid represents one mile in the figure.

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Answer:

Read below

Step-by-step explanation:

The equation for the volume of water in the bowl after a certain amount of time can be represented by the formula: y = k * x, where k is the constant of proportionality. This constant represents the rate at which water is dripping into the bowl, in milliliters per second.

To find the constant of proportionality, you need to know the rate at which the water is dripping into the bowl. If you know the rate, you can plug it into the formula above to find the equation that represents the volume of water in the bowl over time. For example, if the water is dripping into the bowl at a rate of 1 milliliter per second, the equation would be: y = 1 * x. This means that after 1 second, the bowl would contain 1 milliliter of water, after 2 seconds it would contain 2 milliliters of water, and so on.

It's important to note that the constant of proportionality will change if the rate at which the water is dripping into the bowl changes. For example, if the water is dripping into the bowl at a rate of 2 milliliters per second, the equation would be: y = 2 * x. This means that after 1 second, the bowl would contain 2 milliliters of water, after 2 seconds it would contain 4 milliliters of water, and so on.

In summary, the equation for the volume of water in the bowl after a certain amount of time can be represented by the formula: y = k * x, where k is the constant of proportionality, which represents the rate at which water is dripping into the bowl. To find the equation, you need to know the rate at which the water is dripping into the bowl, and plug that value into the formula as the value of k.

Answer:

((1+2)x3) + (4x5) = 29

Step-by-step explanation:

Since 4x5 = 20 and 3x3 = 9, and 9 + 20 = 29, we put parenthesis around 1+2,

we get,

((1+2)x3) + (4x5) = 29

This is true because,

(3x3) + (4x5) = 29

(9) + (20) = 29

29 = 29