5 cakes are shared equally between 6 people. What fraction of a cake does each person receive

When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

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Answer: 20

Step-by-step explanation:

Multiply 2.4*10-4

Calculate 24-4

the answer is (12x^10000)/5

Answer:

The answer is 6

Step-by-step explanation:

The answer is right because of 2 things!

1. I did it on paper and me is smart

2. because 18 divided by 3=6 because 6x3=18 so that is how you get your answer!!!

THANKSSS :D

Step-by-step explanation:

I don't know car stuff, but that looks like its asking you to use the formula:

F1 x r1 = F2 x r2

Therefore, it will be:

175N x 200mm = 160N x 20mm

I hope this helps :)

Answer:c

Step-by-step explanation:

Answer:

S,Z and W,X

Step-by-step explanation:

If you look at your number line, you will see that point Z (20) is positive and point S (-20) is negative. The opposite of a positive is a negative, which makes -20 and 20 opposites. This goes for -5(W) and 5(X) as well.

Answer:

B. and E.)

Step-by-step explanation:

When the question asks about opposites of the points on the number line, it is basically like a mirror reflection of where they are. I'll explain:

B.) This answer is correct, because if you look at points S and Z, you'll see that point S in on -20, and point Z is on 20. This is a perfect reflection of these two numbers on the line, because -20 is the opposite of 20.

E.) This answer is also correct, because point W is also a perfect reflection of point X. Point W is on the number -5, while point X is on the number 5. This shows a perfect reflection of point W (-5) to point X (positive 5).

The other letters (A, C, D, and F) are all incorrect because they do not show perfect reflections of their number's opposite.

I hope that this helps.

Answer:

25.50 is the final price

Step-by-step explanation:

First find the new price at 15% off

59.99 * 15%

59.99 * .15

9.00

Subtract 9 dollars from the price

59.99-9.00

50.99

Now take 50% off

50.99 * 50%

50.99*.50

25.50

50.99-25.50

25.50

Answer:

Correct answer is 28

Step-by-step explanation:

The solution to the equation is 8.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

x - 3 + 1 = 6

Solve for x.

x - 2 = 6

x = 6 + 2

x = 8

We can cross-check.

x - 3 + 1 = 6

8 - 3 + 1 = 6

9 - 3 = 6

6 = 6

True

Thus,

The solution is 8

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As per the least-squares regression,

a) The residual for the high school senior with a foot length of 20cm and a height of 160cm is 2.94

b) As per the given standard deviation, the value of the context 5.9

The term standard deviation in math is defined as a measure of how dispersed the data is in relation to the mean.

Here we have given that the random sample of 65 high school seniors was selected from all high school seniors at a certain high school.

And we need to find following.

While we looking into the given question, as per the least-squares regression line, here the estimated height for a high school senior with a foot length of 20 cm is calculated as,

=> y = 2.599x + 105.08

Now, we have to apply the value of x as 20, then we get,

=> y = 2.599(20) + 105.08

=> y = 157.06

Therefore, the residual is calculated as,

=> 160 − 157.06 = 2.94

b) As per the given standard deviation, here the differences between each data point and its corresponding estimate varies with a standard deviation of 5.9 cm.

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Answer:

I think its false

Step-by-step explanation:

Answer: True i think

Step-by-step explanation: If Nancy is two years older than Mark who is 13, then Nancy would be 15, 15 + 13 equals 28.

Total area = 96 + 102 + 90

= 288 mi^2

Answer:

A.)  \(\frac{500}{3} \pi units^3\)

Step-by-step explanation:

To find the volume of the sphere, you need to use the following equation:

\(V= \frac{4}{3} \pi r^3\)

In this equation, "V" represents the volume (units³) and "r" represents the radius (units). Since you have been given the value of the radius (r = 5 units), you can use it to solve the equation.

\(V= \frac{4}{3} \pi r^3\)                              <----- Volume equation

\(V= \frac{4}{3} \pi (5)^3\)                           <----- Plug 5 into "r"

\(V= \frac{4}{3} \pi (125)\)                         <----- Solve 5³

\(V= \frac{500}{3} \pi\)                              <----- Multiply \(\frac{4}{3}\) and 125

Answer:

\(\sf A. \quad \dfrac{500}{3} \pi \:\:units^2\)

Step-by-step explanation:

Volume of a sphere

\(\sf V=\dfrac{4}{3} \pi r^3\)

(where r is the radius)

From inspection of the given diagram:

Substitute the value of r into the equation and solve for V:

\(\begin{aligned}\sf V & = \sf \dfrac{4}{3} \pi r^3\\\\\implies \sf V & = \sf \dfrac{4}{3} \pi (5)^3\\\\& = \sf \dfrac{4}{3} \pi (125)\\\\ & = \sf \dfrac{4 \cdot 125}{3} \pi\\\\& = \sf \dfrac{500}{3} \pi \:\:units^2\end{aligned}\)

Answer:

15 3/4

Step-by-step explanation:

this is simple addition and subtraction

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Answer:

237.9 yards

Step-by-step explanation:

90-23=67

cos 67⁰=x/610

x=610 cos 67

x= 610 x 0.39

x=237.9 yards

Answer:

b. 988.97

Step-by-step explanation:

got a 100 on the test

The balance at the end of May after the minimum payment is made is

$571.64.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P \((1 + r/n)^{nt}\)

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

P = $628.16

r = 10.59%

n = 12

t = 1/12

The amount after March.

A = 628.16 \((1 + 0.1059)^{12\times0.08\)

A = $633.48

Monthly payment.

= 3.96/100 x 633.48

= $25.09

Remaining amount.

= 633.48 - 25.09

= $609.39

The amount after April.

A = 609.39 \((1 + 0.1059)^{12\times0.08\)

A = $614.55

Monthly payment.

= 3.96/100 x 614.55

= $24.34

Remaining amount.

= 614.55 - 24.34

= $590.21

The amount after May.

A = 590.21 \((1 + 0.1059)^{12\times0.08\)

A = $595.21

Monthly payment.

= 3.96/100 x 595.21

= $23.57

Remaining amount.

= 595.21 - 23.57

= $571.64

Thus,

The balance at the end of May is $571.64.

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Answer:

3/4 simplified is 3/4 but when 2 1/4 is simplified it is 9/4. Off the bat we know there is a big difference. Also, 2 and 1/4 is irrational and 3/4 and rational.

Answer:

3x+1=3x+1

0x=0

no solution

3x+1=3x+2

0×=1

no solution

3x+1=2x+1

x=0

X IS THE SOLUTION BTW

Step-by-step explanation:

C you are gonna have 3,120.00 pesos

The smallest positive debt that can be paid off using sticker trading is $7$ dollars.

To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.

Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.

The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.

In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.

Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.

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The height of the building is approximately 227 feet.

In the given question, a man wants to measure the height of a nearby building. He places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building.

The total length of the building's shadow is 162 ft, and the pole casts a shadow that is 5.5 ft long. We have to determine the height of the building.The given situation can be explained with the help of a diagram.

As shown in the figure above, let AB be the building and CD be the 7 ft pole. The height of the building is represented by the line segment AE, which is to be determined. Let the length of the shadow of the pole be CD and that of the building be BD.

Therefore, the length of the total shadow will be BC or CD + BD.According to the question, the shadow of the pole is exactly covered by the shadow of the building. This implies that the two triangles AEF and CDF are similar. Hence, the corresponding sides are proportional. Therefore, we have:AE/EF = CD/DF

On substituting the values from the given data, we get:

AE/(EF + 5.5) = 7/5.5.... (1)

Similarly, we can write from the given data:

BD/DF = 162/5.5.... (2)

From equations (1) and (2), we can write:

AE/(EF + 5.5) = BD/DF => AE/(EF + 5.5) = 162/5.5.... (3)

On solving the above equation for AE, we get:

AE = (7/5.5) × (162/5.5 - 5.5)≈ 226.6 ft

Therefore, the height of the building is approximately 227 feet.

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Answer:

You start the shelf 4 ft. 9 in. from the wall.

Step-by-step explanation:

The game plan is to take the length of the shelf away from the length of the wall, and then divide the remaining part into two equal pieces.

13 ft.

-  3 ft. 6 in.

12 ft  12 in,

- 3ft    6 in

9 ft   6 in.

9 ft. 6 inches divided by 2 equals 4.5 ft, 3 in.

.5 ft * 12 inches = 6 inches

You start the shelf 4 ft. 9 in. from the wall.

The length from the corner for the edge of a 3ft 6in shelf for it to be centered on the wall is A = 4.75 feet = 4 feet 9 inches

The diagonal of a rectangle is calculated by the formula

From the Pythagoras Theorem , The hypotenuse² = base² + height² , and

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

Given data ,

To center a shelf on a 13-foot long wall, we need to find the midpoint of the wall, and then subtract half the length of the shelf to determine the position of the shelf's edge.

First, we need to convert 3 feet 6 inches to feet. There are 12 inches in a foot, so:

3 feet 6 inches = 3 + 6/12 = 3.5 feet

Now , the diagonal of the rectangular shelf is

The midpoint of the wall is half of 13 feet, which is:

13 / 2 = 6.5 feet

To find the distance from the corner to the edge of the shelf, we need to subtract half the length of the shelf from the midpoint of the wall:

6.5 feet - 1.75 feet = 4.75 feet

Hence , the shelf should be placed 4.75 feet from the corner to be centered on the 13-foot long wall.

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The radius of convergence is a-R a+R = 6+12 =18 and 6-12 = -6 for the |6x 12/<78 and diverges if |6x 12| 78.

The set of actual numbers x wherein the collection converges is the c program language period of convergence. If there exists a actual wide variety R such that the collection converges for |x−a|R, then R is the radius of convergence.

The radius of convergence is 1/2 of of the duration of the c program language period of convergence. If the radius of convergence is R then the c program languageperiod of convergence will consist of the open c program languageperiod: (a − R, a + R). To discover the radius of convergence, R, you operate the Ratio Test.

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Answer:

17

Step-by-step explanation:

Option A is correct. The value of function (f/g)(x) is found to be  \(\sqrt[3]{3x}\)/(3x+2) where the condition is that  x ≠  -2/3.

In mathematics, function composition is an operation in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

The new function obtained by performing f first and then g is the combination of two functions g and f.

Given:

f(x) = \(\sqrt[3]{3x}\)

g(x) = 3x + 2

(f/g)(x) =  \(\sqrt[3]{3x}\)/(3x+2)

Also, the denominator should not be equal to 0.

So, 3x + 2 ≠ 0

     x ≠  -2/3

Therefore, the value of function  is found to be  \(\sqrt[3]{3x}\)/(3x+2) where the condition is that  x ≠  -2/3. So, Option A is correct

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Answer:

2 forms

Step-by-step explanation:

hope this helps <3

\( \sf \longrightarrow \: \frac{8}{5} \div 6 \\ \)

\( \sf \longrightarrow \: \frac{5}{8} \times 6 \\ \)

\( \sf \longrightarrow \: \frac{5 \times 6}{8} \\ \)

\( \sf \longrightarrow \: \frac{30}{8} \\ \)

\( \sf \longrightarrow \: \frac{8}{30} \\ \)

\( \sf \longrightarrow \: 0.26 \\ \)

_____________________________

Answer:

Domain: x ≥ -5

Range: y ≥ -2

Step-by-step explanation:

The domain are the set of x-values of the function that are plotted on the x-axis. The domain of the graph given are x-values that are equal to or greater than -5.

Therefore:

✅Domain: x ≥ -5

The range from the graph given the y-values plotted on the y-axis against their corresponding x-values that are equal to or greater than -2.

Therefore:

✅Range: y ≥ -2

Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.

Minutes | Distance Traveled (in miles)

50 | 20

20 | f

40 | 60

100 | a

125 | 80

100 | 100

To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:

Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.

Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.

Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.

Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.

Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.

Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:

Slope = Distance Change / Time Change

= 20 miles / 25 minutes

= 0.8 miles per minute

So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

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Answer:

a

Use the distance formula to see if at least two sides are congruent.

Step-by-step explanation:

If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle

Total number of free throws made for player 2 are 23 using histogram.

A histogram is a graphical depiction of continuous or discrete data. In a histogram, the frequency is represented by the area of a bar. Frequency density, which is proportional to frequency, is plotted on the y-axis, and intervals representing the range of values are plotted on the x-axis. One common graphing tool is the histogram. It is employed to present interval-scaled summaries of discrete or continuous data. It is frequently used to conveniently depict the main characteristics of the data distribution. A histogram is a graph in which the horizontal axis represents the values of the observations, and the vertical axis represents the density of those observations.

Given,

Histogram given,

Total number of free throws made for player 2 are:

8 + 9 + 6

23

Total number of free throws made for player 2 are 23 using histogram.

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