Is the triangle a right triangle? 24 ft es 36 ft 30 ft

Step-by-step explanation:

the expected value is the sum of all values multiplied by their corresponding probabilities.

and a probability is always

desired cases / totally possible cases.

in the bag are

28 + 6 + 1 = 35 marbles

the probability to pull the gold is

1/35

the probability to pull a silver is

6/35

the probability to pull a black is

28/35 = 4/5

the expected value = $3×1/35 + $2×6/35 - $1×28/35 =

= 3/35 + 12/35 - 28/35 =

= -13/35 = -0.371428571... ≈

≈ -$0.37

that means (like with all games of that kind like all casino games) the bank will win in the long run.

your only chance to win is to play very few times and get a winner by pure chance. the longer you play you might actually hit a winner somewhere in between, but the surer you still lose in total.

The amount that she owes after she factors in interest will be $33,455.64.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Rita necessities to apply for a line of credit for another vehicle. Her advance is $25,000. The financing cost on the advance is 6% and is accumulated yearly. She intends to take care of the advance in 5 years.

Then the amount is given as,

A = $25,000 x (1 + 0.06)⁵

A = $25,000 x (1.06)⁵

A = $25,000 x 1.3382

A = $33,455.64

The amount that she owes after she factors in interest will be $33,455.64.

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Based on the information provided, the missing number would be number 6.

When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.

In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.

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Answer: 48 more monthly payments

Step-by-step explanation:

O all real numbers less than 0

The range of logarithmic function y = log x is,

⇒ All real numbers.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ y = log x

Now, We know that;

The logarithmic function has no range condition.

Hence, The range of the logarithmic function is the real numbers.

Here, The function is a logarithmic function.

Hence, The range of logarithmic function y = log x is,

⇒ All real numbers.

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Using the interpretation of the confidence interval, it is found that:

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

Considering the mean and the standard error, the bounds of the interval are:

Hence:

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Answer:

\(r \geqslant - 16\)

Step-by-step explanation:

\( \frac{ - 10 + r}{2} \geqslant - 13\)

multiply both sides by 2:

\( - 10 + r \geqslant - 26\)

add 10 on both sides:

\(r \geqslant - 16\)

Answer:

\(r \ge -16\)

Step-by-step explanation:

To solve any equation/inequality:

1. get the variable to show up exactly once

2. isolate it

\(\frac{-10+r}{2} \ge -13\)

Multiply both sides by 2 and simplify (note that we're multiplying by a positive, not a negative, so the direction of the inequality stays the same, whereas multiplying or dividing by a negative would have changed the direction of the inequality)

\(\frac{-10+r}{2} *2 \ge -13 *2\)

\(-10+r \ge -26\)

Add 10 to both sides, and simplify

\((-10+r)+10 \ge (-26)+10\)

\(r \ge -16\)

Answer:

-0.5

Step-by-step explanation:

Answer:

n= -0.5

Step-by-step explanation:

2(n+3)=5

2n+6=5

2n=-1

n=-1/2= -0.5

Answer:

-15/9

Step-by-step explanation:

The slope is the steepness of the line. To find it, you divide how far up it goes by how far across it goes. This equals the diagonal incline. To find it with points, you find the difference between the y values and divide that by the difference in the x values!

-9-6=-15

10-1=9

-15/9=-15/9

This slope means that for every nine units the line goes across, it goes down 15 units!

Have a wonderful day :D

This relationship is represented by a foreign key in the "Player" entity that refers to the ID of the corresponding team in the "Team" entity.

This is an example of a database schema for an American Football league. The schema consists of two main entities: "Team" and "Player".

The "Team" entity has the following attributes:

ID: A unique identifier for each team.

Name: The name of the team.

Main Stadium: The name of the stadium where the team plays their home games.

City: The location of the team's headquarters.

The "Player" entity has the following attributes:

Number: A unique identifier for each player.

Name: The name of the player.

DoB: The date of birth of the player.

Start Year: The year in which the player started playing in the league.

Shirt Number: The number on the player's shirt.

There is a one-to-many relationship between the "Team" and "Player" entities, as each team can have many players, but each player can only belong to one team. This relationship is represented by a foreign key in the "Player" entity that refers to the ID of the corresponding team in the "Team" entity.

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Question-

an NFL (National Football League) application. Here is a proposed data model for the requirements you mentioned:

Team entity:

ID: Unique identifier for the team (primary key)

Name: Name of the team

Main Stadium: Name of the stadium where the team plays its home games

City: Name of the city where the team is located

Player entity:

ID: Unique identifier for the player (primary key)

Name: Name of the player

DoB: Date of Birth of the player

Start Year: Year in which the player started playing in the NFL

Shirt Number: Number assigned to the player's shirt

Team-Player relationship:

Each player belongs to one team (foreign key: Team ID)

Each team can have many players (one-to-many relationships)

With this data model, you can store information about NFL teams and players and establish relationships between them. You can also add additional entities and relationships as needed to support additional functionality, such as games, coaches, or statistics.

Answer:

\(x=\frac{d+c}{a-b}\)

Step-by-step explanation:

The equation is:

a x - c = b x + d

so we subtract b x from both sides to group the terms that contain x on the left:

a x - b x - c = d

add c to both sides to isolate the terms in x on the left:

a x - b x = d + c

extract "x" as common factor on the left:

x (a - b) = d + c

divide both sides by the quantity (a - b) to isolate the "x":

x = (d + c) / (a - b)

or:    \(x=\frac{d+c}{a-b}\)

The relationship between y and t can be modeled by an exponential function of the form:

y = a x e^(-rt)

An exponential function is a mathematical function which we write as a

f(x) = aˣ, where a is constant and x is variable term. The most commonly used exponential function is eˣ , where e is constant having value 2.7182

The relationship between y and t can be modeled by an exponential function of the form:

y = a x e^(-rt)

where a is the initial area of the forest (1500 km²), r is the rate of decrease (6.25%), and t is the number of years since 2000.

To find the value of r, we can convert 6.25% to a decimal:

r = 0.0625

Now we can plug in the values for a and r into our exponential function:

y = 1500 x e^(-0.0625t)

This exponential function shows the relationship between the area of the forest and the number of years since 2000.

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Answer:

Step-by-step explanation:

y

=

1

3

x

−

3

Use the slope-intercept form to find the slope and y-intercept

Slope:

1

3

y-intercept:

(

0

,

−

3

)

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

x

y

0

−

3

3

−

2

Graph the line using the slope and the y-intercept, or the points.

Slope:

1

3

y-intercept:

(

0

,

−

3

)

x

y

0

−

3

3

−

2

image of graph

Answer:

Table 3 → 5 (5× 14=70)

Answer:

C)  A = 8500(1.0165)^16

Step-by-step explanation:

A = P(1 + r/n)^nt  where 'n' is # times compounded and 't' is time in years

A = 8500(1 + (.066/4))^4·4

A = 8500(1 + 0.0165)^16

Answer:

0

Step-by-step explanation:

Use discramnt formula

\(b {}^{2} - 4ac\)

Where 6 is a, 11 is b and 9 is c

\(11 {}^{2} - 4(6)(9) \)

\(121 - 216 = - 95\)

Since the discramnt is negative, there are no real solutions and it will only produce imaginary solutions

Answer: 1 & 4 4&5 6&7

Step-by-step explanation:

Answer and explanation:

1. In one minute, there would be zero pounds of salt in the bucket because there's 0.25 pounds of salt in one minute and 0.5 gallons of water leaves the bucket in same minute, eliminating the 0.25 pounds of salt.

2. In ten minutes there would be zero pounds of salt because theres 0.25×10= 2.5 pounds of salt and 0.5×10=5 gallons of water would leave the bucket, eliminating the salt.

3. In 60 minutes there would still be zero salt because water leaves the bucket more than salt enters

4. Zero salt too after bucket leaks

5. Zero salt

Answer:

$54.87

Step-by-step explanation:

The area of the triangular garden is (1/2) x base x height = (1/2) x 6 x 5 = 15 square feet.

The area of the rectangular mulch area is base x height = 12 x 9 = 108 square feet.

The total area to be covered with mulch is 108 - 15 = 93 square feet.

The cost of the mulch is $0.59 per square foot, so the total cost is 93 x $0.59 = $54.87.

Therefore, the total cost of the mulch will be $54.87.

My recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs. This combination offers the highest profit potential based on the given prices and costs.

In order to maximize their profit, Carlos and Clarita should choose the combination of cats and dogs that yields the highest total profit.

In order to make a reasonable recommendation, we can create a profit table based on different values of x and y:

x y Total Profit

0 0 0

1 0 6

0 1 15

1 1 21

2 1 27

1 2 30

2 2 36

3 2 42

2 3 45

3 3 51

From the table, we can see that the highest total profit is achieved when they accommodate 3 cats and 3 dogs. This combination would result in a daily profit of $51.

Therefore, my recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs.

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Answer: 6.8622 ; 8.1778

Step-by-step explanation:

Given the data:

2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9

6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9

7 10 7 9 9 9 9

Assume a confidence interval of 95%

Using calculator :

The mean of the distribution (m) = 7.52

Standard deviation (s) = 2.314

Sample size),

Obtaining the t score ;

Degree of freedom (df) = (n-1) = 50 - 1 = 49

t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)

Margin of Error :

2.01 * s/√n = 2.01 * 2.314/7.0710678

Margin of Error (E) = 0.6578

Confidence interval:

(Mean - E) ≤μ≤ (mean + E)

(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)

6.8622 ≤μ≤ 8.1778

In the wοrd prοblem ,the smallest distinct pοsitive numbers that prοvide a cοunterexample tο shοw the statement is false.

Wοrd prοblems are frequently defined verbally as situatiοns in which there is a prοblem and οne οr mοre questiοns are raised, the sοlutiοns tο which can be discοvered by applying mathematical principles tο the numerical infοrmatiοn prοvided in the prοblem statement. A cοmmοn prοblem in cοmputatiοnal mathematics is determining if twο prοvided statements are equivalent with respect tο a cοllectiοn οf rewritings.

Here let us take any three even number .

x=2,y=4,z=6.

Nοw adding three different even number then,

=> 2+4+6 = 12

12 is nοt οdd number. Then the given statement is False.

Thus, the smallest distinct pοsitive numbers which prοvide a cοunterexample tο shοw the statement is false.

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Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408

Answer:

ayyyye i play soccer too lol

Step-by-step explanation:

Answer:

looks like you play softball or basketball

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Problem 6

\(tan\theta=\frac{opposite}{adjacent}\\ \\tan58^\circ=\frac{22}{x}\\ \\xtan58^\circ=22\\\\x=\frac{22}{tan58^\circ}\\\\x\approx13.7\)

Problem 7

\(tan\theta=\frac{opposite}{adjacent}\\ \\tan51^\circ=\frac{x}{15}\\ \\15tan51^\circ=x\\\\x\approx18.5\)

Problem 8

\(cos\theta=\frac{adjacent}{hypotenuse}\\\\cos37^\circ=\frac{48}{x}\\ \\xcos37^\circ=48\\\\x=\frac{48}{cos37^\circ}\\ \\x=60.1\)

Problem 9

\(sin\theta=\frac{opposite}{hypotenuse}\\ \\sin24^\circ=\frac{x}{9}\\ \\9sin24^\circ=x\\\\x\approx3.7\)

Remember your trigonometry formulas and fix the problems you already did. They look wrong.

Answer: The slope is 12 pounds per day.

Step-by-step explanation:

They consumed 60 pounds on food in 5 days.

The slope or rate at which they consummed the in a day can be calculated as the amount of pounds consumed in the lapse of time, this is:

slope = 60pounds/5days = 12 pounds per day.

The functions g(x) = x² - 4x + 3 and f(x) = x² - 4x are:

The functions have the same range.

The functions have the same domain.

The functions have the same x-intercepts.

Let's analyze the given functions g(x) = x² - 4x + 3 and f(x) = x² - 4x and determine which statements about them are true.

Here are the options:

The functions have the same graph.

The functions have the same range.

The functions have the same domain.

The functions have the same vertex.

The functions have the same y-intercept.

The functions have the same x-intercepts.

The functions have the same graph:

This statement is false. While both functions are quadratic functions, their additional terms make them different. g(x) has an additional constant term (+3) compared to f(x).

Their graphs will be different, with g(x) being shifted upward by 3 units compared to f(x).

The functions have the same range:

This statement is true.

Both functions are quadratic functions, and their range will be the same. The range of a quadratic function is either all real numbers (if the parabola opens upward) or the set of real numbers greater than or equal to (or less than or equal to) the vertex of the parabola.

The functions have the same domain:

This statement is true.

The domain of both functions, unless restricted by any other factors, is all real numbers.

Quadratic functions have a domain of (-∞, ∞).

The functions have the same vertex:

This statement is false.

The vertex of a quadratic function is determined by the values of "a," "b," and "c" in the general form of the quadratic function (ax^2 + bx + c).

Since g(x) has an additional constant term, its vertex will be different from the vertex of f(x).

The functions have the same y-intercept:

This statement is false.

The y-intercept of a function is the value of y when x = 0.

For f(x), when x = 0, we have f(0) = (0)² - 4(0) = 0.

For g(x), when x = 0, we have g(0) = (0)² - 4(0) + 3

= 3.

Their y-intercepts are different.

The functions have the same x-intercepts:

This statement is true.

To find the x-intercepts of both functions, we set y (or f(x) and g(x)) equal to zero and solve for x.

The quadratic equation x² - 4x + 3 = 0 can be factored as (x - 1)(x - 3) = 0, giving x = 1 and x = 3 as the x-intercepts.

Both functions have the same x-intercepts.

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Answer:

24

Step-by-step explanation:

It is a meaning of GCF(greatest common factor.)

Both 6 and 8 can multiply to become 24.

Answer: 52 miles per hour

Step-by-step explanation:

 15/60=.25

4 hours

221 miles

221/4.25

52 miles per hour