y

∝

√

x


If

y

=

60

when

x

=

36

find,

x

when

y

=

80

Please Give me Brainliest, Thank You

The solution to the expression 4+(−634) is -630

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

4+(−634)

Rewrite the expression properly

So, we have the following representation

4 + (−634)

Remove the bracket in the above expression

This gives

4 + (−634) = 4 - 634

Evaluate the difference

4 + (−634) = -630

Hence, the solution is -630

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The width of the rectangle is 9 meter.

Now, According to the question:

The perimeter of a rectangle is defined as the sum of all the sides of a rectangle. For any polygon, the perimeter formulas are the total distance around its sides. In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the length of the rectangle and it is denoted by the alphabet “p”.

Now, Solving the problem:

Perimeter of rectangle is 50 meter sq.

Length of the rectangle(L) is 16 meter.

We have to find the width (W) of the rectangle.

We know that,

Perimeter of rectangle is = 2 (L + W)

50 = 2(16 + W)

50 = 32 + 2W

2W = 50 - 32

2W = 18

W = 18/2

W = 9

Hence, The width of the rectangle is 9 meter.

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The probability of getting heads twice in a row at some point during three coin flips is 1/8.

Given info;

Assume that a fair coin has an equal chance of coming up heads or tails.

What is the likelihood that three coin flips will result in two consecutive heads at any point?

There is a three-coin flip. The potential results are;

(HHH) (HHT) (HTH) (HTT) (HTT) (THH) (THT) (TTH) (TTT)

1 is the number of successful results.

Probability is calculated as follows: Probability = Number of favorable Results / Total Number of Results = 1/8

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Explanation

The equation of a circle with center (h,k) and radius r units is given by:

then

Step 1

find the diameter of the cirlce:

to do this, we can use the distance between two points formula:

if

the distance from A to B is

so,let

distance CD=

hence, the diameter of the circle is

Step 2

find the center of the circle:

the center of the circle is the midpoint of CD

so

replace

so, the center of the circle is (-3,-1)

Step 3

finally, replace in the formula to get the equation of the circle

let

replace

therefore, the answer is

I hope this helps you

Answer:

(1, -3)

Step-by-step explanation:

While there have been studies suggesting potential benefits of cold showers on the immune system and health outcomes, it is important to note that the evidence is still limited and further research is needed to establish conclusive results. The study you mentioned regarding a clinical trial in the Netherlands is not specified, so I cannot provide specific details about it. However, I can provide some general information on the topic.

1. Immune System Stimulation: Cold exposure, such as taking cold showers, has been hypothesized to stimulate the immune system. Cold showers may activate the body's natural defense mechanisms and increase the production of certain immune cells, potentially enhancing immune function. However, more research is required to fully understand the underlying mechanisms and determine the extent of the immune system's response.

2. Reduced Sick Days: Some studies have suggested that cold showers may contribute to a reduction in sick days. The Netherlands clinical trial you mentioned reported a 29% decrease in sick leave from work. Cold exposure might have effects on the body's stress response, blood circulation, and immune function, potentially influencing overall health and decreasing the likelihood of illness. Nonetheless, it is important to consider other factors that could affect sick leave, such as lifestyle, work environment, and individual susceptibility to illness.

3. Cancer Survival: There is limited scientific evidence linking cold showers to improved cancer survival. Cold exposure, specifically in the form of cryotherapy, has been used as an adjunct therapy in some cancer treatments. It is believed that extreme cold temperatures can potentially enhance the effects of traditional cancer therapies, but the research in this area is still ongoing, and more evidence is required to draw definitive conclusions.

It's worth noting that individual responses to cold exposure may vary, and cold showers might not be suitable or beneficial for everyone, particularly those with certain medical conditions or sensitivities to cold. It is always advisable to consult with healthcare professionals or experts in the field before making significant changes to your health routine or treatment plan.

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Answer:

k= 7

Step-by-step explanation:

First let's add like terms: a+b+a=c: a²+b=c

k+9+5=21

k+14=21

Subtract 14 from both sides of the equation

k+14-14=21-14

K=7

Hi!

\(\tt{9+k+5=21}\)

Step 1: Combine like terms.

\(\tt{9+5+k=21}\)

\(\tt{14+k=21}\)

Step 2: Subtract 14 from both sides.

\(\tt{k=7}\) \(\checkmark\)

Have a great day!

Hope that helps. :)

-Stargazing & daydreaming -

Answer:

For a day VFR flight in a Piper Archer, you would need a fuel reserve of approximately 5 gallons.

Step-by-step explanation:

The amount of fuel reserve that must be carried on a day VFR (Visual Flight Rules) flight, the FAA requires a minimum fuel reserve of 30 minutes at cruising speed for day VFR flights. To calculate the gallons needed for a Piper Archer, follow these steps:

1. Determine the fuel consumption rate of the Piper Archer at cruising speed, which is typically around 10 gallons per hour (GPH).
2. Divide the required fuel reserve minutes (30) by the minutes in an hour (60): 30 / 60 = 0.5 hours.
3. Multiply the fuel consumption rate (10 GPH) by the required fuel reserve time in hours (0.5 hours): 10 * 0.5 = 5 gallons.

Therefore, for a day VFR flight in a Piper Archer, you would need a fuel reserve of approximately 5 gallons.

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Answer:

Simplify 3⋅6+2⋅4/3⋅6+2⋅6.

Step-by-step explanation:

Exact Form:

a=274/9

Decimal Form:

a=30.¯4

Mixed Number Form:

a=30 4/9

is it right???

Answer:

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The limiting reagent in a chemical reaction is a reactant that is totally consumed when the chemical reaction is completed. The amount of product formed is limited by this reagent, since the reaction cannot continue without it.

why is excess reagent used:

A good way to ensure that one reactant fully reacts is to use an excess of the other reactant. This is financially efficient when one of the reactants is very cheap. When one reactant is in excess, there will always be some left over.

how do you find the excess reagent:

The reactant that produces a lesser amount of product is the limiting reagent. The reactant that produces a larger amount of product is the excess reagent. To find the amount of remaining excess reactant, subtract the mass of excess reagent consumed from the total mass of excess reagent given

To justify the statement ln(17) = 2.833 mathematically, we can use the definition of the natural logarithm function.

The natural logarithm of a number x, denoted as ln(x), is defined as the exponent to which the base e (approximately 2.71828) must be raised to obtain the number x.

In this case, we have ln(17) = 2.833. To justify this statement mathematically, we can rewrite it using the definition of the natural logarithm:

e^(2.833) = 17

Here, e represents the base of the natural logarithm function, which is approximately 2.71828. By raising e to the power of 2.833, we should obtain the value of 17.

So, the mathematical equation to justify the statement ln(17) = 2.833 is e^(2.833) = 17.

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Answer:

Yes, Wendy's conclusion is valid.

Step-by-step explanation:

40 divided by 15= 2.666666666666667

Therefore, 1000 divided by 2.666666666666667= 374.999999999999953 which can be rounded to 375

The probability that an adolescent randomly selected sleeps more than 600 minutes is approximately 0.1397 or 13.97%.

This calculation is based on a normal distribution with an average sleep time of 499 minutes and a standard deviation of 93 minutes.

To find the probability that an adolescent sleeps more than 600 minutes, we need to calculate the z-score and then find the corresponding probability using the standard normal distribution.

First, we calculate the z-score using the formula:

z = (x - μ) / σ

where x is the value we're interested in (600 minutes), μ is the population mean (499 minutes), and σ is the population standard deviation (93 minutes).

z = (600 - 499) / 93 ≈ 1.086

Next, we look up the probability corresponding to the z-score of 1.086 in the standard normal distribution table. The table gives us the probability of being below a certain z-score, so we subtract that probability from 1 to get the probability of being above the z-score.

Using the table, we find that the probability of being below a z-score of 1.086 is approximately 0.8603. Therefore, the probability of being above a z-score of 1.086 is 1 - 0.8603 = 0.1397.

So, the probability that an adolescent randomly selected sleeps more than 600 minutes is approximately 0.1397 or 13.97%.

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Answer:

Perimeter of the sector = (36 + 8π) cm.

Step-by-step explanation:

Formula to find the of an arc of the circle is,

Length of the arc = \(\frac{\theta}{360}(2\pi r)\)

Here, θ = central angle formed by the arc

r = radius of the circle

Therefore, length of the arc given in the picture = \(\frac{80}{360}(2\pi) (18)\)

                                                                                = 8π cm

Perimeter of the sector = Sum of all sides of the sector

                                       = Length of radius + length of the arc + length of radius

                                       = 18 + 8π + 18

                                       = (36 + 8π) cm

Perimeter of the sector is (36 + 8π) cm.

Answer:2,5

Step-by-step explanation:

Answer:

The second and last one

Step-by-step explanation:

Answer:

2%

Step-by-step explanation:

Answer:

X^2+ 2x+35

Step-by-step explanation:

Use pemdas. Multiply the parentheses. Multiply. Collect like terms. Remove the parentheses.

Answer:

4\(x^{2}\)+9x+23

Step-by-step explanation:

After solving, the height in feet of the sixth bounce is 1.892 feet.

In the given question, we ave to find the height, in feet, of the sixth bounce.

From the given question,

Height on the first bounce = 6.7

Subsequent bounce reaches a height of the previous bounce = 81%

Suppose the height is h.

So according to the question:

h(6) = height on the first bounce*(subsequent bounce reaches a height of the previous bounce)^6

h(6) = 6.7*(81%)^6

h(6) = 1.892 feet

So the height of sixth bounce is 1.892 feet.

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Answer: See explanation

Step-by-step explanation:

From the question, we are informed that the weight of 90 books is 50kg. We need to get the weight of a book first and this will be:

= 50/90

= 5/9

Therefore, the weight of 180 such books will be 5/9 multiplied by 180. This will be:

= 5/9 × 180

= 100kg

Answer:

Answer: Given that a photograph of a bacteria enlarged 50,000 times attains a length of 5 cm. Therefore, the actual length of the bacteria is = (5/50000) cm = 0.0001 cm.

Step-by-step explanation:

^^

Answer:

29.9

Step-by-step explanation:

29.9 rounded to the nearest 10 is 30

The sampling distribution is a normal probability distribution for any sample size. Option b

According to the Central Limit Theorem, for a given population with any probability distribution, the sampling distribution of the sample mean tends to follow a normal distribution as the sample size increases, regardless of the shape of the population distribution. This means that the sampling distribution becomes approximately normal, regardless of whether the population distribution is normal or not.

The Central Limit Theorem holds true for both small and large sample sizes. However, for small sample sizes, the approximation to a normal distribution may not be as accurate as for larger sample sizes. As the sample size increases, the sampling distribution becomes more symmetrical and bell-shaped, resembling a normal distribution.

Therefore, the correct answer is (b) any sample size. The sampling distribution can be approximated by a normal distribution for any sample size, but the approximation becomes more accurate as the sample size increases.

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To determine the volume of the solid, use spherical coordinates. The formula to use when converting to spherical coordinates is:

r = √(x^2 + y^2 + z^2)θ = tan-1(y/x)ϕ = tan-1(√(x^2 + y^2)/z)

For the solid, we have that:

\(x^2 + y^2 + z^2 = 9, z = √(x^2 + y^2)\)

, and the solid is above the xy-plane.

To find the limits of integration in spherical coordinates, we note that the solid is symmetric with respect to the xy-plane. As a result, the limits for ϕ will be 0 to π/2. The limits for θ will be 0 to 2π since the solid is circularly symmetric around the z-axis.To determine the limits for r, we will need to solve the equation z = √(x^2 + y^2) in terms of r.

Since z > 0 and the solid is above the xy-plane, we have that:z = √(x^2 + y^2) = r cos(ϕ)Substituting this expression into the equation x^2 + y^2 + z^2 = 9 gives:r^2 cos^2(ϕ) + r^2 sin^2(ϕ) = 9r^2 = 9/cos^2(ϕ)The limits for r will be from 0 to 3/cos(ϕ).The volume of the solid is given by the triple integral:V = ∫∫∫ r^2 sin(ϕ) dr dϕ dθ where the limits of integration are:r: 0 to 3/cos(ϕ)ϕ: 0 to π/2θ: 0 to 2π\(r = √(x^2 + y^2 + z^2)θ = tan-1(y/x)ϕ = tan-1(√(x^2 + y^2)/z)\)

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Answer:

Mary increased both assets and liabilities.

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 dollars and 25 cents

Answer:

$0.80

Step-by-step explanation:

-3 (1x + 1y = 3.2)

3x + 1y = 8

----------------

-3x - 3y = -9.6

+

3x + 1 y = 8

-------------------

0x -2y = -1.6

÷ -2

-----------------

y = 0.8

one hamburger costs $0.80

Given:

The area of a rectangle is 99 square yd.

Length of the rectangle = 7 yd more than twice the width.

To find:

The dimensions of the rectangle.

Solution:

Let x be the width of the rectangle. Then, length of the rectangle is:

\(Length=2x+7\)

Area of a rectangle is:

\(A=length\times width\)

\(A=(2x+7)\times x\)

\(A=2x^2+7x\)

The area of a rectangle is 99 square yd.

\(2x^2+7x=99\)

\(2x^2+7x-99=0\)

Splitting the middle term, we get

\(2x^2+18x-11x-99=0\)

\(2x(x+9)-11(x-9)=0\)

\((x+9)(2x-11)=0\)

Using zero product property, we get

\((x+9)=0\) and \((2x-11)=0\)

\(x=-9\) and \(x=\dfrac{11}{2}\)

\(x=-9\) and \(x=5.5\)

Width of the rectangle cannot be negative. So, \(x=5.5\) yd.

Now, the length of the rectangle is:

\(Length=2x+7\)

\(Length=2(5.5)+7\)

\(Length=11+7\)

\(Length=18\)

Therefore, the length of the rectangle is 18 yd and the width of the rectangle is 5.5 yd.