WRS is a right triangle
Help me hurry please

Answer:

the smaller number is 15 and the larger number is 35

Step-by-step explanation:

x+y=50

x=smaller number y=larger number

y=x+20

x+(x+20)=50

2x+20=50

2x=30

x=15

smaller number=15

larger number= 15+20=35

Answer:

Smaller: 15

Larger: 35

Step-by-step explanation:

Larger: y

Smaller: x

\(x+y=50\)

\(y=20+x\)

\(x+20+x=50\\2x=50-20\\2x=30\\x=15\)

\(15+y=50\\y=50-15\\y=35\)

x=15; y=35

Hope this helped! Please mark brainliest :)

Answer:

a 0 = x + -x

Step-by-step explanation:

variables can be added just like numbers. a number and it's opposite sum to zero.

therefore, x and it's opposite (-x) sum to zero

Answer:

A

Step-by-step explanation:

This is because -x and positive x would cancel each other out, making 0

Hope this helps!

Answer:

98

Step-by-step explanation:

7 : 11 :: x : 154

Also,

\( \frac{7}{11} = \frac{x}{154} \)

\( = > \frac{x}{154} = \frac{7}{11} \)

\( = > x = \frac{7 \times 154}{11} \)

=> x = 7 × 14

=> x = 98 (Ans)

Answer:

400

Step-by-step explanation:

5x2x10x4=

Richard gets an average of 17 calls during his 8 hour work day. in order to find the probability that richard will get at most 5 calls in a 2 hour portion of his work day using the poisson distribution,The probability that Richard will receive at most 5 calls in a 2-hour portion of his work day is approximately 0.092.

In this scenario, the random variable X represents the number of calls that Richard receives during a 2-hour portion of his 8-hour work day.

The Poisson distribution is commonly used to model the probability of a certain number of rare events occurring in a fixed interval of time or space. In this case, we can use the Poisson distribution to model the number of calls that Richard receives in a 2-hour period, given that we know the average number of calls he receives in an 8-hour work day.

The Poisson distribution has a single parameter, λ, which represents the average rate at which the rare events occur. In this case, λ = 17/8 = 2.125, since Richard receives an average of 17 calls in an 8-hour work day.

To find the probability that Richard will receive at most 5 calls in a 2-hour portion of his work day, we can use the Poisson probability mass function (PMF), which gives the probability of observing k events in a given time interval, given the average rate λ. The PMF is given by:

P(X = k) = (e^(-λ) * λ^k) / k!

where k is the number of events, λ is the average rate, and e is the mathematical constant approximately equal to 2.71828.

So in this case, we want to find the probability that X ≤ 5, i.e., the probability that Richard will receive 0, 1, 2, 3, 4, or 5 calls in a 2-hour portion of his work day. We can use the cumulative distribution function (CDF) of the Poisson distribution to find this probability:

P(X ≤ 5) = Σ(k=0 to 5) P(X = k)

where Σ is the summation symbol.

Plugging in the values, we get:

P(X ≤ 5) = Σ(k=0 to 5) (e^(-λ) * λ^k) / k! = (e^(-2.125) * 2.125^0 / 0!) + (e^(-2.125) * 2.125^1 / 1!) + (e^(-2.125) * 2.125^2 / 2!) + (e^(-2.125) * 2.125^3 / 3!) + (e^(-2.125) * 2.125^4 / 4!) + (e^(-2.125) * 2.125^5 / 5!) ≈ 0.092

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Illinois city-to-airport distances can be discovered using a distance spatial join. The utilized unit is while linear measurements utilize meters or feet, angular units for measurement use degrees.

A system called a geographic information system (GIS) is one that collects, organizes, processes, and maps all kinds of data.

Illinois city-to-airport distances can be discovered using a distance spatial join.

Thus, the utilized unit is while linear measurements utilize meters or feet, angular units for measurement use degrees.

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Answer:

B

Step-by-step explanation:

Answer:

x^3

Step-by-step explanation:

The answer is d > 20

hope this helps:)

If each consumer demands one item of groceries and faces a travel cost of $12 per kilometer. BetaMarket chooses the price of $33.33 in equilibrium.

AlphaMart sells groceries at the west end of Main Street, a street that is one kilometer long. AlphaMart competes with BetaMarket, which is located at the east end of the street. AlphaMart and BetaMarket sell groceries that are identical in every respect, apart from the locations of the two stores. The marginal cost of an item of groceries is $3 for both retailers.

Main Street is home to 200 consumers; the consumers are evenly spaced along the street. Each consumer demands one item of groceries and faces a travel cost of $12 per kilometer. To calculate the equilibrium price of BetaMarket, we first need to find out the quantity demanded at each price point.

The quantity demanded for each price point can be found by subtracting the number of consumers who are closer to AlphaMart than to BetaMarket from the total number of consumers. Let the price charged by BetaMarket be P. If BetaMarket charges P, then the demand for BetaMarket's groceries is given by:

QB = 200/2 - 1/2 (P + 12) = 100 - 1/2 (P + 12)

QB = 100 - 1/2P - 6

We can now write down BetaMarket's profit function as:

πB = QB(P - 3) = (100 - 1/2P - 6)(P - 3)

πB = 100P - 3/2P² - 309

From this, we can find the first-order condition for profit maximization by differentiating the profit function with respect to P and setting it equal to zero:

∂πB/∂P = 100 - 3P = 0P = 100/3

Thus, BetaMarket chooses to set the price at $33.33 in equilibrium.

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Answer:

kk

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

$0.25 per donut.

Step-by-step explanation:

So, we know that Jamie spends the same amount of money each morning.

On Sunday, he spent $1.25 on a newspaper and bought 2 donuts.

On Monday, he spent $0.50 on a newspaper and bought 5 donuts.

Since he spend the same amount of money each morning, we can say that:

\(1.25+2x=0.5+5x\)

Where x represents the cost per donut.

So, to find the cost of a donut, we need to solve for x.

So, let's try to isolate the x. Subtract 2x from both sides:

\((1.25+2x)-2x=(0.5+5x)-2x\)

The left side cancels. Subtract on the right:

\(1.25=0.5+3x\)

Now, let's subtract 0.5 from both sides:

\(0.75=3x\)

To find x, divide both sides by 3:

\(x=0.75/3\)

Divide:

\(x=0.25\)

Therefore, each donut cost $0.25.

And we're done!

Answer:

12

Step-by-step explanation:

You can also check the answer to see if it is correct by inputing 12 for x which would be 12-4=8 and we know that this equation is true.

Answer:

y= -3.5x +10

Step-by-step explanation:

The first thing to do in this equation is solve for m, the slope of the line.

Because we are given that the y-intercept is 10, we know that the graph intercepts at the point (0,10).

We are also given the point (5,-7.5).

Using the two points we can solve for the slope!

To solve for the slope use this formula: \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

(-7.5 -10) / (5 -0)

= -3.5

So our slope, m = -3.5

The other missing value is b, but is very easy to find.

In this example, b is equal to the y-intercept, so b=10.

Now we can plug in the values we found into the original equation

y =mx+b

y= -3.5x +10

The statement suggesting that larger groups are more effective than smaller groups is false. Smaller groups tend to have better communication, efficiency, and individual participation.

The statement suggests that larger groups, specifically groups of twenty to thirty people with representatives from multiple subgroups, are more effective than smaller groups of six to eight people. However, this statement is generally considered false for several reasons:

Larger groups can face challenges in communication and coordination. With more members, it becomes more difficult to ensure effective information sharing, active participation, and clear decision-making. Small groups often have better communication and coordination due to fewer individuals involved.

Smaller groups tend to be more efficient and productive. In larger groups, there can be increased time spent on managing diverse opinions and reaching consensus, which can slow down the decision-making process and hinder productivity. Smaller groups can often make quicker decisions and accomplish tasks more efficiently.

Larger groups may result in reduced individual participation. Some members may feel less inclined to contribute or may be overshadowed by more dominant personalities. In smaller groups, each member can have a more significant impact and be actively engaged in the group's work.

Smaller groups tend to foster better group dynamics and cohesion. It is easier for members to develop strong relationships, trust, and a shared sense of purpose in smaller groups. Larger groups can struggle with maintaining cohesiveness and a sense of belonging.

While larger groups may have certain advantages, such as a broader range of perspectives and resources, the statement disregards the potential drawbacks of managing larger groups effectively. Overall, smaller groups often exhibit better communication, efficiency, and individual participation, making the statement false in general.

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Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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The number of miles that he will have to his destination after 84 minutes of driving is given as follows:

41.8 miles.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

In 28 minutes, the amount decays by 22.4 miles, hence the slope m is given as follows:

m = -22.4/28

m = -0.8 miles per minute.

84 minutes is six minutes after 78 minutes, hence the remaining distance is given as follows:

46.6 - 0.8 x 6 = 41.8 miles.

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The probability P(x > 18) is equal to 1 minus the probability P(x < 18) for a normally distributed variable x with mean μ = 100 inches.

In a normal distribution, the area under the curve represents the probability of observing a certain value or a range of values. The probability P(x > 18) represents the probability of observing a value greater than 18 for the variable x. Conversely, the probability P(x < 18) represents the probability of observing a value less than 18 for the variable x.

Since the total area under the normal distribution curve is equal to 1, we can say that the sum of the probabilities of all possible events is equal to 1. Therefore, the probability of an event occurring (P(x > 18)) plus the probability of the event not occurring (P(x < 18)) is equal to 1.

Mathematically, we can express this relationship as:

P(x > 18) = 1 - P(x < 18)

So, the probability P(x > 18) is related to P(x < 18) by subtracting the latter from 1.

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Answer:

1 out of 9

Step-by-step explanation:

In general, different refrigerants should not be mixed or recovered into the same cylinder.

Different refrigerants have unique chemical compositions and properties that make them incompatible with one another. Mixing different refrigerants can lead to unpredictable reactions, loss of refrigerant performance, and potential safety hazards. Therefore, it is generally recommended to avoid recovering different refrigerants into the same cylinder.

When recovering refrigerants, it is important to use separate recovery cylinders or tanks for each specific refrigerant type. This ensures that the refrigerants can be properly identified, stored, and recycled or disposed of in accordance with regulations and environmental guidelines.

The refrigerant recovery process involves capturing and removing refrigerant from a system, storing it temporarily in dedicated containers, and then transferring it to a proper recovery or recycling facility. Proper identification and segregation of refrigerants during the recovery process help maintain the integrity of each refrigerant type and prevent contamination or cross-contamination.

To maintain the integrity and safety of different refrigerants, it is best practice to recover each refrigerant into separate cylinders. Mixing different refrigerants in the same cylinder can lead to complications and should be avoided. Following proper refrigerant recovery procedures and guidelines helps ensure the efficient and environmentally responsible management of refrigerants.

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The number of different refrigerants that may be recovered into the same cylinder is zero.

When it comes to refrigerants, it is important to understand that different refrigerants should not be mixed together. Each refrigerant has its own unique properties and should be handled and stored separately. mixing refrigerants can lead to chemical reactions and potential safety hazards.

The recovery process involves removing refrigerants from a system and storing them in a cylinder for proper disposal or reuse. During the recovery process, it is crucial to ensure that only one type of refrigerant is being recovered into a cylinder to avoid contamination or mixing.

Therefore, the number of different refrigerants that may be recovered into the same cylinder is zero. It is essential to keep different refrigerants separate to maintain their integrity and prevent any adverse reactions.

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Answer:

i got 7ft for the answer

Step-by-step explanation:

The length of the unknown side of the triangular frame is 7 ft.

"A simple closed curve or a polygon formed by three line-segments (sides) is called a triangle."

From the drawn triangle

According to the law of cosines

\(x^{2} =3^{2} +5^{2} +2\) × \(3\) × \(5\) × \(cos 120^{0}\)

⇒ \(x^{2} =9+25+2\) × \(3\) × \(5\) × \(\frac{1}{2}\)

⇒ \(x^{2} = 9+25+15\)

⇒ \(x^{2} = 49\)

⇒ \(x = \sqrt{49}\)

⇒ \(x = 7\)

Hence, the length of the unknown side of the triangular frame is 7 ft.

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A.

when you graph it that's the correct one.

Answer: 15 feet

Step-by-step explanation:

From the question, we are informed that a diving board is 10 feet above a pool. Since the ladder is 5 feet away from the base of the diving board, to calculate how tall is the ladder is, we subtract -5 from 10. This will be:

= 10 - (-5)

= 10 + 5

= 15 feet

The answer is option C.

The range or the given data is calculated as 10.2 . Range is the difference between minimum value and maximum value.

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we can make use of the formula for range in statistics which is given as follows:[\large Range = Maximum\ Value - Minimum\ Value\]

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we need to arrange the data in either ascending or descending order, but since we only need to find the range, it is not necessary to arrange the data.

From the data given above, we can easily identify the minimum value and maximum value and then find the difference to get the range.

So, Minimum Value = 1.0

Maximum Value = 11.2

Range = Maximum Value - Minimum Value

                  = 11.2 - 1.0

                     = 10.2

Therefore, the range of the given data is 10.2.

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Answer:

Here’s the answer! Best of luck.

Step-by-step explanation:

Answer:

-24+4v

Step-by-step explanation:

8v-24-12v

-24+4v

Answer:

see below

Step-by-step explanation:

3t+8(2t-6)=12+14t

Distribute

3t +16t-48 = 12+14t

Combine like terms

19t -48 = 12+14t

Subtract 14t from each side

5t -48 = 12

Add 48 to each side

5t = 60

Divide by 5

t =12

2v+18=16-4(v+7)

Distribute

2v+18  = 16 -4v -28

Combine like terms

2v +18 = -4v -12

Add 4v to each side

6v+18 = -12

Subtract 18 from each side

6v = -30

Divide by 6

v = -5

4x-(9-3x)=8x-1

distribute

4x -9+3x = 8x -1

Combine like terms

7x -9 = 8x -1

Subtract 7x from each side

-9 = x-1

Add 1 to each side

-8 =x

12(3+y)=5(2y+8)

Distribute

36 +12y = 10y +40

Subtract 10y from each side

36+2y = 40

Subtract 36 from each side

2y =4

Divide by 2

2y/2 = 4/2

y =2

We conclude that the conjecture that the quotient of a number and its reciprocal is always equal to 1 is not correct.

Conjecture: The quotient of a number and its reciprocal is always equal to 1.

To test this conjecture, let's consider a specific number, x, and its reciprocal, 1/x.

According to the conjecture, the quotient of x and its reciprocal should be 1.

Let's perform the calculation:

\(x / (1/x) = x * x/1 = x^2\)

Based on the calculation, we see that the quotient of x and its reciprocal simplifies to x^2, not necessarily equal to 1. Therefore, the conjecture is not true in general.

Hence, we conclude that the conjecture that the quotient of a number and its reciprocal is always equal to 1 is not correct.

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