your center is showing signs of dehydration. he weighed 270 pounds before practice and now, after practice, he weighs 264. how many ounces of fluid must he drink to regain the weight that he lost through sweating? a. 54 b. 72 c. 90 d. 118 e. 144

Answer:

y=3x+4

Step-by-step explanation:

Use the equation y=mx+c

M is the gradient and c is the y intercept

The multiplicative inverse or reciprocal of the complex number 2+5i is 2-5i.

To find the multiplicative inverse of a complex number, we simply take the reciprocal of the number. For a complex number z = a + bi, where a and b are real numbers and i is the imaginary unit, the reciprocal is given by 1/z = 1/(a + bi).

In this case, the complex number is 2 + 5i. To find its reciprocal, we take the reciprocal of the real and imaginary parts separately. The reciprocal of 2 is 1/2, and the reciprocal of 5i is -1/(5i) = -i/5. Therefore, the reciprocal of 2 + 5i is (1/2) - (i/5) = 2/10 - i/10 = 1/5 - i/10.

To check the answer, we can multiply the original complex number (2 + 5i) by its reciprocal (1/5 - i/10) and see if the result is equal to 1.

(2 + 5i)(1/5 - i/10) = (2/5 - i/10) + (1 - i/2) = 2/5 - i/10 + 10/10 - 5i/10 = 2/5 + 9/10 - 6i/10 = 4/10 + 9/10 - 6i/10 = 13/10 - 6i/10 = (13 - 6i)/10.

The result is (13 - 6i)/10, which is equal to 1 when divided by 10. Therefore, the reciprocal of 2 + 5i is indeed 1/5 - i/10.

Hence, the multiplicative inverse or reciprocal of the complex number 2+5i is 2-5i.

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Answer:

The 3 angles will add up to 180 degrees.

Step-by-step explanation:

A triangle only has 3 angles that total up to 180 degrees, so if you're given the three angles then you know that they will sum to 180 degrees.

Answer:

e=5

Step-by-step explanation:

7e-4=31  Add 4 on both sides of the equation.

7e=35     Divide both sides of the equation by 7.

/7   /7

e=5

I hope this helps!! Have a great day o(*U▽U*)ブ

Answer:  the awnser is 43

Step-by-step explanation:

Answer:

36$

Step-by-step explanation:

The length of the arc opposite a central angle that measures 46 degrees is 2.72 cm.

What is circle?

The measurement of the circle's boundaries is called as the circumference or perimeter of the circle. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it. The circle's radius is considered while calculating the circumference of the circle using the formula. As a result, in order to calculate the circle's perimeter, we must know the radius or diameter value.

in a circle of radius 3.4 cm

central angle that measures 46 degrees

length of arc = (46/360) * 2π*3.4

=2.72cm

Hence the length of the arc opposite a central angle that measures 46 degrees is 2.72 cm

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Answer:

x = 1

y = 30°

Step-by-step explanation:

is RS is ⊥ to TU then TS = US so we can use this equation to find 'x':

20x-3 = 5x+12

15x = 15

x = 1

we also know that RS intersecting with TU creates a 90° angle

if 3y = 90 then y = 30

Answer:

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1. Independent random samples arise when one random sample is split into groups differing by an observed feature is incorrect.

2. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.

1. Independent random samples arise when individuals in a sample are randomly assigned to experimental groups, data is recorded repeatedly on a random sample of individuals, or random samples are selected separately. The statement that one random sample is split into groups differing by an observed feature does not accurately describe independent random samples.

2. The margin of error in a confidence interval represents the range of values within which the true population parameter is likely to fall. It is calculated by taking half of the width of the confidence interval. Therefore, the correct answer is that the margin of error is equal to half the width of the confidence interval.

In summary, the incorrect statement is that independent random samples arise when one random sample is split into groups differing by an observed feature. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.

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Answer:

B

\( {3x}^{4} \)

A polynomial must have a constant which is absent in equation B

Answer:

X = 13

X = 13

X = 13

X = 98

X = 8

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The length of IKE is 2x - 12.

A condition on a variable that is true for just one value of the variable is called an equation.

Since KITE is a kite, we know that KT = IT and KE = IE. Let's call the length of these diagonals d. Then we have:

KT + TI = d

KE + EI = d

Substituting in the given values, we get:

x + 6 + 2x = d

2x + IE = d

Solving for d in the first equation, we get:

3x + 6 = d

Substituting this into the second equation, we get:

2x + IE = 3x + 6

Solving for IE, we get:

IE = x + 6

Therefore, IKE is equal to:

IKE = IT - IE

IKE = (d - KT) - (x + 6)

IKE = (3x + 6 - x - 6) - (x + 6)

IKE = 2x - 12

So, the length of IKE is 2x - 12.

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We need to know how many gallons of gas $23.36 will buy, so we divide the amount by the cost per gallon: $23.36 ÷ $3.25 per gallon = 7.20 gallons.

Once we know how many gallons of gas we are buying, we can then find out how long it will take to pump that amount of gas. To do that, we multiply the number of gallons by the time per gallon: 7.20 gallons × 21 seconds/gallon = 151.2 seconds.

So, the answer to the question is 151.2 seconds, which is the total time it will take to pump $23.36 worth of gas at $3.25 per gallon and 21 seconds per gallon.

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Answer: f(x) = -1/2(x+3)

Example: g(x) = -1/2(-x-3)

This function is a dilation and a reflection of the parent function f(x) because when graphed, the two functions have the same shape but are reflected over the y-axis and are half the size of the original.

After adding bonus amount, the graph of an employee’s earnings is translated upward by 75 units.

In this question, we have been given the minimum wage for employees of a company is modeled by the function f(x)=7.25x

Let h(x) be a function that models how much employee earns after a signing bonus of $75

The wage for the employees after signing the bonus would be 7.25x + 75

so, h(x) = 7.25x + 75 is the required function.

Here x is the number of working days, it can not be negative but must be greater than or equal to zero.

The graph of functions f(x) and h(x) are shown below.

The blue line represents the graph of the function which models an employee’s earnings after a signing a bonus.

The graph of f(x) is translated upward by 75 units.

The initial value of graph of h(x) is (0, 75) This means even if the employee works 0 days, he will get $75

Therefore, after adding bonus amount, the graph of an employee’s earnings is translated upward by 75 units.

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Answer:

21

Step-by-step explanation:

a^2 + b^2 = c^2

20^2 + b^2 = 29^2

400 + b^2 = 841

b^2 = 441

21 = b

Leo needs 100 star stickers to line the top and bottom edges of his 0.75-meter-long poster with 15-millimeter-wide stickers. Leo will need 50 star stickers for his poster.

First, we need to convert the length of Leo's poster from meters to millimeters since the width of the star stickers is given in millimeters.

0.75 meters x 1000 millimeters/meter = 750 millimeters

Now we can calculate how many stickers Leo needs by dividing the length of the poster by the width of each sticker:

750 millimeters ÷ 15 millimeters/sticker = 50 stickers

Therefore, Leo will need 50 star stickers for his poster.

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Answer:

290

Step-by-step explanation:

Area of Parrallelagram is B*H

24 * 15 = 360

Area of Triagnle is 1/2 B*H

1/2* 14* 10 = 70

Subtract area of triangle form area of parrallelagram

360- 70= 290

Answer:

many-to-one

Step-by-step explanation:

1 and 5 have same co-domain which is 12

while 3 and 14 each have difference co domain which is 14 and 3 respectively

Answer:

The slope m of the line is;

Explanation:

Given the graph in the attached image.

We want to find the slope of the graph.

The slope can be calculated using the formula;

Taking two points from the graph;

Substituting the coordinates, we have;

Therefore, the slope m of the line is;

The y-intercept of the line is at;

Writing the slope intercept form of the equation;

where;

m = slope

b = y-intercept

substituting the slope and the y intercept we have;

Therefore, the equation of the line is;

we can conclude that 12/17 is the larger fraction between 12/17 and 12/19 using the part-whole meaning of a fraction.

To determine which fraction is larger between 12/17 and 12/19 using the part-whole meaning of a fraction, we need to compare the sizes of the parts (numerators) relative to the wholes (denominators) for both fractions.

Let's consider the fractions 12/17 and 12/19:

For 12/17:

- The numerator, 12, represents a part of the whole.

- The denominator, 17, represents the total number of equal parts into which the whole is divided.

For 12/19:

- The numerator, 12, also represents a part of the whole.

- The denominator, 19, represents the total number of equal parts into which the whole is divided.

Since the numerators are the same (both 12) and we are comparing the fractions with the same numerator, the fraction with the smaller denominator represents larger parts or more significant portions of the whole.

Comparing the denominators, we can see that 17 is smaller than 19. This means that the whole in 12/19 is divided into fewer parts compared to the whole in 12/17. Therefore, each part of the whole in 12/17 is larger than each part in 12/19.

As a result, we can conclude that 12/17 is the larger fraction between 12/17 and 12/19 using the part-whole meaning of a fraction.

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The prescribed weight of a bottle of cough syrup is 100 g. To test the filling process, a quality control specialist takes a sample of 20 bottles. The specialist then determines the actual weight of each bottle.

The given prescribed weight of the bottle is 100 g.  The weight of a bottle of cough syrup is normally distributed with a mean of 100 g and a standard deviation of 0.6 g. We need to find the probability that the actual weight differs from the prescribed weight by more than 0.5 g which can be represented below

P( |X - µ| > 0.5 ).For 20 bottles, we have n = 20.The standard deviation of the distribution is given as:σ = 0.6/√20 = 0.134.Based on the given data, we can write,µ = 100g and σ = 0.134 g. The standard normal variable is given below

Z = (X - µ) / σZ = (X - 100) / 0.134Now, let's calculate the probability value as follows

P( |X - µ| > 0.5 )= P(Z > (0.5 + 100) / 0.134 ) + P(Z < (-0.5 + 100) / 0.134 )= P(Z > 370.15) + P(Z < 369.40)= 0 + 0= 0Thus, the main answer is the probability that the actual weight differs from the prescribed weight by more than 0.5 g is 0.0000.

Therefore, the probability that the actual weight differs from the prescribed weight by more than 0.5 g is 0.0000.

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Answer:

simplified the answer ( i think) is \(-\frac{3}{56}\)

Step-by-step explanation:

Thank you for being so polite you were when u asked ur question, really hope this helps

Answer:

A. k ≥ 8.14

Step-by-step explanation:

Hope this helps! :))

the probability of getting exactly 5 successes in 7 trials, with a success probability of 0.8 in each trial, is 0.3226.

The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials. In this case, n=7 represents the number of trials, and p=0.8 represents the probability of success in each trial.

To find p(x=5), we use the binomial probability formula: P(x=k) = (n choose k) × \(p^{k}\) × \((1-p)^{(n-k)}\), where (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes out of n trials.

Plugging in the values, we have: P(x=5) = (7 choose 5) × \((0.8)^{5}\) × \((1-0.8)^{(7-5)}\) = 0.3226

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Answer:

6 times as great

Step-by-step explanation:

8*10 to the power of 5

8*10 to the power of -1

Answer:

10^6

Step-by-step explanation:

● 8×10^5

● 8 × 10^(-1)

Divide the the first number by the second one

● 8×10^5/ 8×10^(-1) = 10^(5-(-1)) = 10^6

So 8×10^5 is greater 10^6 times than 8×10^(-1)