PLEASE HELP, find the orthocenter of this triangle

\(8 \times x = 24 \\ x = \frac{24}{8} \\ x = 3\)

Answer:

3

Step-by-step explanation:

24 ÷ 8 = 3

8 × 3 = 24

....................

Joy needs to score at least 85.04 to be in the top 10% of her class and earn a nursing certification.

To find the raw score that Joy needs to obtain to score in the top 10% of her class, we can use the standard normal distribution table.

First, we need to find the z-score that corresponds to the top 10% of the distribution. Since the normal distribution is symmetric, the top 10% is the same as the bottom 90%. From the z-table, we can find that the z-score that corresponds to the bottom 90% of the distribution is approximately 1.28.

Next, we use the formula for the z-score:

z = (x - μ) / σ

where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Substituting the given values, we have:

1.28 = (x - 78) / 5.5

Multiplying both sides by 5.5, we get:

7.04 = x - 78

Adding 78 to both sides, we get:

x = 85.04

Therefore, Joy needs to score at least 85.04 to be in the top 10% of her class and earn a nursing certification.

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Answer:

2x (x - 4)

Step-by-step explanation:

It takes 51.33 min or 6/7 hrs to travel upstream 4 km.

What is relative velocity?

it is the speed measured with respect to an observer whether he is moving or stationary and it might differ for different observers.

speed of boat = 7 km/hr

speed of river = r km/hr

speed upstream = 7-r km/hr

speed downstream = 7+r km/hr

time taken to go upstream 4 km = 4/(7-r)

time taken to go downstream 8 km = 8/(7+r)

as time taken is equal in both scenario:

4/(7-r) = 8/(7+r)

on solving we get:

r = 7/3 km/hr

put this value in time taken for upstream

4/(7-(7/3)) = 6/7 km/hr or 51.33 min

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Using the relative velocity formula, we know that it takes 51.33 min or 6/7 hrs to travel upstream 4 km.

Think about two trains that are traveling in the same direction and at the same pace.

Even though the tracks, buildings, and trees on either side of the track indicate that both trains are moving, to the observer of one train, the other train appears to be stationary.

The other train seems to be moving at a constant speed.

So, we know that:

Speed of boat = 7 km/hr

Speed of river = r km/hr

Now,

Speed upstream = 7-r km/hr

Speed downstream = 7+r km/hr

Time taken to go upstream 4 km = 4/(7-r)

Time taken to go downstream 8 km = 8/(7+r)

As the time taken is equal in both scenarios:

4/(7-r) = 8/(7+r)

On solving we get:

r = 7/3 km/hr

Put this value in time taken for upstream as follows:

4/(7-(7/3)) = 6/7 km/hr or 51.33 min

Therefore, using the relative velocity formula, we know that it takes 51.33 min or 6/7 hrs to travel upstream 4 km.

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Answer:

337.5

Step-by-step explanation:

The square root of a negative number is not defined in the real number system, g(√(1 - x²)) does not exist when x = 3. g(0) = 1

g(-1) = 0

g(2) does not exist

g(√(1 - x²)) does not exist when x = 3.

The given function is g(x).

a) To find g(0), we substitute x = 0 into the function:

g(0) = √(1 - 0²) = √(1 - 0) = √1 = 1.

Therefore, g(0) = 1.

b) To find g(-1), we substitute x = -1 into the function:

g(-1) = √(1 - (-1)²) = √(1 - 1) = √0 = 0.

Therefore, g(-1) = 0.

c) To find g(2), we substitute x = 2 into the function:

g(2) = √(1 - 2²) = √(1 - 4) = √(-3).

Since the square root of a negative number is not defined in the real number system, g(2) does not exist.

d) To find g(√(1 - x²)), we substitute x = 3 into the function:

g(√(1 - (3)²)) = g(√(1 - 9)) = g(√(-8)).

Since the square root of a negative number is not defined in the real number system, g(√(1 - x²)) does not exist when x = 3.

To summarize:

g(0) = 1

g(-1) = 0

g(2) does not exist

g(√(1 - x²)) does not exist when x = 3.

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The probability of a lion living more than 10.1 years is approximately 1 - 0.1587 = 0.8413, or 84.13% (rounded to the nearest hundredth).

To use the empirical rule, we first need to convert the value of 10.1 years into a z-score:

z = (x - μ) / σ

where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

z = (10.1 - 12.5) / 2.4

z = -1.00

Using the empirical rule, we know that approximately:

68% of the data falls within one standard deviation of the mean

95% of the data falls within two standard deviations of the mean

99.7% of the data falls within three standard deviations of the mean

Since we want to estimate the probability of a lion living more than 10.1 years, we need to find the area under the normal curve to the right of this value. This is equivalent to finding the area to the left of the z-score of -1.00 (since the standard normal distribution is symmetric).

From a standard normal distribution table or calculator, we can find that the area to the left of z = -1.00 is approximately 0.1587.

Therefore, the probability of a lion living more than 10.1 years is approximately 1 - 0.1587 = 0.8413, or 84.13% (rounded to the nearest hundredth).

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Answer:

10.25641...% or 10.3%

Step-by-step explanation:

(86/78)/78 = 8/78

8/78 * 100 = 400/39 = 10.25641...%

Sarah's charges per hour for working during the week will be $9.5.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.

Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be

45x + 5y = 902.5           ...1

50x + 10y = 1045

25x + 5y = 522.5          ...2

Subtract equation 2 from equation 1, then we have

45x - 25x = 902.5 - 522.5

20x = 380

x = 19

And the value of y will be

25 (19) + 5y = 522.5

475 + 5y = 522.5

5y = 47.5

y = 9.5

Sarah's charges per hour for working during the week will be $9.5.

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What is the question for this so I can answer it?

The probability mode for the given value is created. The expected value and standard deviation of prospective winnings are -$0.28 and $18.33. The expected value and standard deviation if the game is played five times are -$1.40 and $40.99. The probability that the person running the game makes a profit is 0.561.

Probability is a way to determine how likely something is to happen. It is computed by dividing the frequency of the event by the total number of outcomes. The formula then becomes P(X) = frequency of the event÷total number of outcomes.

The product of the probabilities determines the likelihood that two or more occurrences will coincide. This is given by, P(A and B) = P(A)P(B).

a) To create a probability model follow the steps. Let X is an occurrence of an event.  The table is attached here.

b)  The expected value is calculated using the formula, E(X) = μ = ∑ x P(x).

\(\begin{aligned}E(X)=\mu&=x_1p_1+x_2p_2+x_3p_3\\&=40\left(\frac{1}{6}\right)+0\left(\frac{5}{36}\right)+(-10)\left(\frac{25}{36}\right)\\&=-\$ 0.28\end{aligned}\)

Also,

\(\begin{aligned}E(X^2)&={x_1}^{2}p_{1}+{x_2}^{2}p_{2}+{x_3}^{2}p_{3}\\&=(40)^2\frac{1}{6}+(0)\frac{5}{36}+(-10)^2\frac{25}{36}\\&=(1600)\frac{1}{6}+(0)\frac{5}{36}+(100)\frac{25}{36}\\&=266.67+69.44\\&=336.11\end{aligned}\)

And the standard deviation is calculated using the formula, σ=√Var[X].

\(\begin{aligned}\sigma=\sqrt{\text{Var}(X)}&=\sqrt{E(X^2)-E(X)^2}\\&=\sqrt{336.11-0.08}\\&=\sqrt{336.03}\\&=\$18.33\end{aligned}\)

c) The expected value and standard deviation for playing the game 5 times are calculated as follows.

The expected value is,

\(\begin{aligned}5\times E(X)&=5(-\$0.28)\\&=-\$1.40\\\end{aligned}\)

The standard deviation is,

\(\begin{aligned}\sigma&=\sqrt{5\times\tex{Var}(X)\\&=\sqrt{5\times336.03\\&=\sqrt{1680.15}\\&=\$40.99\end{aligned}\)

d) The dice rolling is random and the winning chance is independent. The probability the person running the game makes a profit (P(x<0)) is given by,

The population mean, μ(Y) = -$0.28

The standard deviation for a population of 100 is,

\(\begin{aligned}\sigma&=\sqrt{\frac{\text{Var}(X)}{n}}\\&=\frac{18.33}{\sqrt{100}}\\&=1.83\end{aligned}\)

The z-score for mean winning is,

\(\begin{aligned}z&=\frac{x-\mu}{\sigma}\\&=\frac{0-(-0.28)}{1.83}\\&=0.153\end{aligned}\)

For a person to make a profit, the mean winning of the player should be less than the z-score. Then,

The P-value from the z-table, P(z<0.153)=0.5608

The answer is 0.561.

The complete question is -

You pay $10 and roll a die. If you get a 6, you win$50. If not, you get to roll again. If you get a 6 this time, you get your $10 back. a) Create a probability model for this game. b) Find the expected value and standard deviation of your prospective winnings. c) You play this game five times. Find the expected value and standard deviation of your average winnings. d) 100 people play this game. What’s the probability the person running the game makes a profit?

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At the end of the eighth week, there will be 51,200 ants in the colony.

To determine the number of ants in the colony at the end of the eighth week, we need to consider that the number of ants doubles each week. Starting with 400 ants, we can calculate the number of ants at the end of each week using exponential growth.

Week 1: 400 ants

Week 2: 400 * 2 = 800 ants

Week 3: 800 * 2 = 1600 ants

Week 4: 1600 * 2 = 3200 ants

Week 5: 3200 * 2 = 6400 ants

Week 6: 6400 * 2 = 12800 ants

Week 7: 12800 * 2 = 25600 ants

Week 8: 25600 * 2 = 51200 ants

It's important to note that this calculation assumes ideal conditions of exponential growth and does not account for any factors that could limit or affect the ant population in real-life situations. Additionally, the actual growth of an ant colony may be influenced by various factors, such as resource availability, competition, and external threats.

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From the given triangle, the length of the side labeled "x" is 42.7.

Correct option: C

Triangular polygons in geometry are those with three sides and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees.

First, calculate the height (h) of the triangle, as below:

tan(α) = Opposite/Adjacent

Given,

α = 48º

Opposite=23

Adjacent=h

When you substitute these values into

tan(α) = Opposite/Adjacent,

tan(α) = Opposite/Adjacent

tan (48º)= 23/h

Now, you must clear "h":

h × tan(48º) = 23

h = 23 / tan(48º)

h = 20.71

Next, the value of "x" is:

Cos(β) = Adjacent/Hypotenuse

β = 61º

Adjacent = h = 20.71

Hypotenuse=x

When you substitute these values into

Cos(β) = Adjacent/Hypotenuse

Cos(61º)=20.71/x

Now, must clear "x", as below:

x (Cos(61º)) = 20.71

x = 20.71 /Cos(61º)

x = 42.72

So, option C is the correct answer.

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The answer is B. 3.375 .The maximum number of guppies that can be kept in the aquarium is 3.To find the maximum number of guppies that can be kept in the aquarium, we need to first find the volume of the aquarium in liters.

V = lwh
V = 45cm x 15cm x 25cm
V = 16875 cm³
Since 1L = 1000cm³, we can convert the volume to liters by dividing by 1000:
V = 16875 cm³ ÷ 1000 = 16.875 L
Now we can divide the total volume of the aquarium by the amount of water each guppy needs to find the maximum number of guppies that can be kept:
Maximum number of guppies = total volume of aquarium ÷ water needed per guppy
Maximum number of guppies = 16.875 L ÷ 5 L
Maximum number of guppies = 3.375

So the maximum number of guppies that should be kept in this aquarium is 3.375. However, since you cannot have a fractional part of a guppy, the maximum number of guppies that can be kept in this aquarium is 3.
Therefore, the answer is B. 3.375

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Answer:

15.2 , 21.5 , 27.9 , 29.5

Step-by-step explanation:

please give brainliest and help me on my recent

Answer: AI is 8, Rob is 18, and Bert is 36

Step-by-step explanation:

Ok, so the sum of their age is 62. Bert is x2 of Rob. Also someone is 10 years older than AI, lets assume Rob is the guy that is 10 years older. x+y+10+(z times 2)=62. So lets solve it. 62-10=52. 52=x+y+(z times 2). Now if you think about it x and y is the same, because the 10 is already minused. So it's now x*2+z*2=52, if you assume it now, z is x+10. So now it is 52=x*2+(x+10)x2. Now we break out the brackets so its x*2+x*2+20=52. Lets simplify it. x*4+20=52, lets swift the 20 the the other side. x*4=52-20, x*4=32. 32/4=8 so 8 is x. Now we know AI is 8, Rob is 18, and Bert is 36!

To find the average height of the catenary arch formed by the curve y = 17/15 - cosh(x) above the x-axis, we first need to determine the range of x where the curve lies above the x-axis.

Since,

17/15 - cosh(x) > 0

cosh(x) < 17/15

The largest integer x for which cosh(x) < 17/15 is x = 0. Now, we need to find the average height of the curve over this range:

Average height = (1 / (2 * 0 + 1)) * ∫[-0, 0] (17/15 - cosh(x)) dx

Average height = (1 / 1) * [17x/15 - sinh(x)]|[-0, 0]

Average height = (17 * 0) / 15 - sinh(0) = 0

The average height of the curve above the x-axis is 0. However, this seems incorrect since the curve y = 17/15 - cosh(x) should have an average height greater than 0. It's possible that there was a typo in the given equation or in the question itself. Please double-check the equation and the question and provide the correct information for a more accurate answer.

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Answer:

s = 15 inches

2s = 30 inches

s + 6 = 21 inches

Step-by-step explanation:

The top ones are 21 inches, the sides are 15 inches, and the bottom one is 30 inches.

The concepts and procedures of the scientific method that are being violated in this scenario are: a. Lack of Control Group, b. Lack of Randomization, c. Lack of Blindness, d. Failure to Replicate, e. Extraneous and Confounding Variables.

Lack of Control Group: A control group is a group that is identical to the experimental group in every way except that they do not receive the treatment. It helps in determining whether the treatment has an effect. In this scenario, the lack of a control group makes it impossible to determine whether the treatment is responsible for the difference between the experimental group and the control group.

Lack of Randomization: Randomization is the process of assigning subjects to groups randomly. It ensures that each group is identical to the others in every way except for the treatment. In this scenario, the lack of randomization makes it impossible to determine whether the differences between the experimental and control groups are due to the treatment or due to differences between the groups.

Lack of Blindness: Blinding is the process of keeping the subjects unaware of whether they are in the experimental or control group. It ensures that the subjects do not change their behavior based on their knowledge of whether they are receiving the treatment or not. In this scenario, the lack of blindness makes it impossible to determine whether the differences between the experimental and control groups are due to the treatment or due to the subjects knowing which group they are in.

Failure to Replicate: Replication is the process of repeating the study to see whether the results are consistent. In this scenario, the failure to replicate the study makes it impossible to determine whether the results are consistent with previous studies.

Extraneous and Confounding Variables: Extraneous variables are variables that are not of interest to the researcher but that may have an effect on the outcome of the study. Confounding variables are variables that are not of interest to the researcher but that are related to both the independent and dependent variables.

In this scenario, the presence of extraneous and confounding variables makes it impossible to determine whether the differences between the experimental and control groups are due to the treatment or due to these variables.

Devise a study to answer the research question in each scenario: To devise a study to answer the research question in each scenario, we must consider the concepts and procedures of the scientific method. We must include a control group, randomization, blindness, replication, and control for extraneous and confounding variables.

To conclude, lack of a control group, randomization, and blindness, failure to replicate, and the presence of extraneous and confounding variables violate the concepts and procedures of the scientific method. To answer the research question in each scenario, we must devise a study that includes a control group, randomization, blindness, replication, and control for extraneous and confounding variables.

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Answer:

\(10^{4}\)

Step-by-step explanation:

4 x 10^7 is 40000000

4 x 10^3 is 4000

We are told that 4x10^7 is something times as much as 4x10^3

So we will work backwards to find the answer,

If you divide 40000000 by 4000 you will get 10000

10000 is the same as 10^4

Answer:

10^4

Step-by-step explanation:

10^7-3

Hahaha that's all

The percentage increase in the winner's check for the U.S. Open Golf Championship from 1895 to 2019 was approximately 4.33% per year. If the winner's prize continues to increase at the same rate, it would be around $11,655,984.98 in 2044.

To calculate the percentage increase per year in the winner's check, we need to find the annual growth rate. We can use the formula for compound interest to do this. The initial prize in 1895 was $150, and the final prize in 2019 was $2.25 million (or $2,250,000).

First, we find the total number of years between 1895 and 2019: 2019 - 1895 = 124 years.

Next, we calculate the percentage increase using the compound interest formula:

Percentage Increase = ((Final Amount / Initial Amount)^(1 / Number of Years) - 1) * 100

Percentage Increase = ((2,250,000 / 150)^(1 / 124) - 1) * 100 ≈ 4.33%

Now, to find the prize money in 2044, we need to use the compound interest formula again. The number of years from 2019 to 2044 is 25 years.

Final Amount = Initial Amount * (1 + Percentage Increase)^Number of Years

Final Amount = 2,250,000 * (1 + 0.0433)^25 ≈ 11,655,984.98

Thus, if the winner's prize continues to increase at the same rate, it will be approximately $11,655,984.98 in 2044.

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Answer: System

Step-by-step explanation:

The question defined a system.

For future reference

Temperature is a measure of the average kinetic energy of molecules

Potential Energy is a measure of how much energy can be turned into kinetic energy (think a ball about to be dropped)

Matter is a term for stuff, everything is made of matter, atoms and molecules

Kinetic energy is energy in motion (think a falling object)

States are the position or form things are in, this is probably going to be used as "states of matter" (solids, liquids, gasses)

Conduction is the transfer of heat or electricity through two objects touching

Energy is "the ability to do work" think of energy like a general term for potential and kinetic energy, undefined if you ill

Hope this helps

Therefore, the equation of the tangent line to the curve y = x4 + 7x2 - x at the point (1,7) is y = 17x - 10.

The first step to finding the equation of the tangent line to the curve at a given point is to find the derivative of the function. In this case, the derivative of y = x^4 + 7x^2 - x is:
y' = 4x^3 + 14x - 1
Next, we can substitute the given point (1,7) into both the original equation and the derivative:
y(1) = 1^4 + 7(1)^2 - 1 = 7
y'(1) = 4(1)^3 + 14(1) - 1 = 17
Now we can use the point-slope form of a line to find the equation of the tangent line. The point-slope form is:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope of the line (which we just found to be 17). So, plugging in the values we get:
y - 7 = 17(x - 1)
Expanding and simplifying gives:
y = 17x - 10
Therefore, the equation of the tangent line to the curve y = x^4 + 7x^2 - x at the point (1,7) is y = 17x - 10.

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Thus we only take the positive root:x = 27/8 = 3.375Answer: 3.375 feet.

The problem states that a rectangular garden that measures 50 feet wide and 45 feet long is enclosed by a uniform width of x feet paved path. To solve the problem,

we can use the formula of the combined area of the garden and the paved path and equate it to 2646 square feet. The combined area is computed by adding the area of the garden and the area of the paved path.

Garden area:Length of garden = 45 ftWidth of garden = 50 ftArea of garden = Length x Width= 45 x 50= 2250 square feet

Paved path:

If the garden has a uniform width of x feet paved path, then the width of the paved path would be x + 2x + x= 4x. The width is multiplied by 2 because there are two widths surrounding the garden.

Length of paved path = length of garden + 2 (width of paved path)= 45 + 2 (4x)= 8x + 45Width of paved path = width of garden + 2 (width of paved path)= 50 + 2 (4x)= 8x + 50

The area of the paved path is computed by subtracting the area of the garden from the combined area.Area of paved path = Combined area - Garden area2646 square feet

= (8x + 45) (8x + 50) - 2250= 64x² + 760x + 675

We then solve for the value of x by factoring the quadratic equation.2646 square feet = 64x² + 760x + 6752646 - 2646

= 64x² + 760x + 675 - 264664x² + 760x - 1971

= 0(8x - 27) (8x + 73) = 0

The value of x cannot be negative,

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Data Input

P = 7000

r = 4.6%

t = 10 years

Procedure

The population after 10 years can be found by

where

P is the population after 10 years

t is the times

r is the rate of interest

Po is the initial population

The population would be 10975

Answer:

318

Step-by-step explanation:

Answer:

318 I did the question......

Answer:

12+5

Step-by-step explanation:

negative times negative is postive

Answer: There were 78 red apples at the party.

Step-by-step explanation:

This situation can be represented by the equation  

x + 3x + 2(3x) = 130    where x is the number of green apples, 3x is the number of  yellow apples and 2(3x) is the number  of red apples.

Now solve for x

x +3x +2(3x) =130

4x + 6x = 130

10x  = 130

x =  13  

Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.

2 * (3*13)  = ?

2 * 39 = 78