Five friends made 100 dollars working together.how much did each person make if the earnings are divded equally ?

As x increases without bound, the graph of f(x)  approaches y=0 increases without bound .

We have function [tex]f(x)=3(2.5)^x[/tex]

From the graph we can see that as x decreases without bound  the graph of f(x) approaches y=0.

Also the exponential function in the graph is approaching y=0 as x decreases on the left side of the curve.

Here as the exponential function here the power is x variable and the exponential function cannot be negative for any value of x.

Therefore as x increases without bound, the graph of f(x)  approaches y=0 increases without bound .

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Step-by-step explanation:

i took the test :)

Answer :  Option B is correct.

Explanation :

Since we have given that

f(x) = x+1

and

g(x) =x

and when we divide f(x) with g(x) i.e.

[tex]\frac{f(x)}{g(x)}[/tex]

And we know the division algorithm , i.e.

[tex]f(x)=g(x).q(x) +r(x)[/tex],

Where q(x) represents quotient and r(s) denotes remainder

So, we write it in this manner ,

[tex]x+1=x.1+1\\\\\text{Remainder becomes 1}[/tex]

Hence, Remainder = 1

So, Option B is correct.

I believe this problem has the following clue:

digit in the tens place is the largest number. digit in tenths place is less than the digit located in the hundredths place. the digit in the ones place is greater than the digit in the hundredths place

From this clue, we can say that the number is:

86.23

Final answer:

To find the other number when the product of two numbers is 40 and one of the numbers is 5/11, we divide 40 by 5/11 to solve for the unknown number. The other number is found to be 88.

Explanation:

The question asks to find the other number when the product of two numbers is 40 and one of the numbers is given as 5/11. To do this, we can set up an equation where the product of 5/11 and the unknown number (which we can call 'x') is equal to 40.

The equation would be: (5/11) × x = 40. To solve for x, we need to do some algebraic rearrangement by dividing both sides of the equation by 5/11. This brings x into the numerator on the left side and shifts the 5/11 to the denominator on the right side. Therefore, we get x = 40 × (11/5).

Next, we multiply 40 by 11/5. This calculation results in x = 88. Thus, the other number is 88.

divide 18 by 3

18 / 3 = 6

 there are 6 girls on the team

Answer:x + 2y = 6

2y = -x + 6

 y = -1/2 x + 3 so slope = -1/2

parallel lines  has same slope = -1/2

perpendicular lines slope is opposite and reciprocal so slope = 2  

if slope not equal either -1/2 or 2 then neither.

y = -1/2 x - 5 ....m= - 1/2....  parallel

-2x + y = -4

         y = 2x - 4...m = 2 ....perpendicular

-x + 2y = 2

2y = x + 2

y = 1/2 x + 1 ...m = 1/2 ...neither

x + 2y = -2

2y = -x - 2

 y = -1/2 x - 1 ...m = -1/2 .....parallel

Step 1

Find the slope of the line M

we have

[tex]5x-3y=2[/tex]

isolate the variable y

[tex]3y=5x-2 \\ \\y=\frac{5}{3}x-\frac{2}{3}[/tex]  

the slope of the line is [tex]\frac{5}{3}[/tex]

Step 2

Find the slope of the line perpendicular to line M

we know that

if two lines are perpendicular , then the product of their slopes are equal to minus one

so

[tex]m1*m2=-1[/tex]

we have

[tex]m1=\frac{5}{3}[/tex]

Find m2

[tex]m2=-1/m1[/tex]

[tex]m2=-1/(5/3)[/tex]

[tex]m2=-\frac{3}{5}[/tex]

therefore

the answer is

[tex]-\frac{3}{5}[/tex]

At a mean of 95 pounds per passenger and standard deviation of 35 pounds, multiplying this with the total number of passengers = 200, results in:

absolute mean = 95 * 200 = 19,000

absolute std dev = 35 * 200 = 7,000

Calculating for the z score:

z = (x – u) / s

where x is sample value = more than 20,000; u is the sample mean = 19,000; s is std dev = 7,000

z = (20,000 – 19,000) / 7,000

z = 0.143

From the distribution tables,

P (z = 0.14) = 0.5557

Therefore a 55.57% chance that it will be more than 20,000 pound limit

Final answer:

Using the Central Limit Theorem, we calculate the probability that the total weight of passengers' baggage exceeds 20,000 pounds for an airplane with 200 passengers to be approximately 0.0217.

Explanation:

To solve this problem, we use the Central Limit Theorem which states that if we have a large enough sample size, the distribution of the sample means will be approximately normally distributed regardless of the original distribution's shape. Given that the mean weight of an individual passenger's baggage is 95 pounds with a standard deviation of 35 pounds, and that there are 200 passengers, we can calculate the mean and standard deviation of the total baggage weight.

The mean total weight, μtotal, is calculated as the product of the mean individual weight and the number of passengers, so μtotal = 95 pounds × 200 = 19,000 pounds. The standard deviation of the total weight, σtotal, is calculated as the standard deviation of the individual weight multiplied by the square root of the number of passengers, so σtotal = 35 pounds × √200 ≈ 494.97 pounds.

Using the standard normal distribution, we find the z-score for the probability that the total weight exceeds 20,000 pounds by subtracting the mean from the limit and dividing by the standard deviation: z = (20,000 - 19,000) / 494.97 ≈ 2.02.

Looking up this z-score in a standard normal table or using a calculator, we find that the probability of the total baggage weight exceeding 20,000 pounds is approximately 0.0217.

The smaller number is 11 and the larger number is 28.

Let's assume the smaller number is 'x'.
The larger number is 17 more than the smaller number, so the larger number can be represented as 'x + 17'.
The sum of the two numbers is 39, so we can set up the equation: x + (x + 17) = 39.
By simplifying the equation, we get 2x + 17 = 39.
Subtracting 17 from both sides gives us 2x = 22.
Dividing both sides by 2 gives us x = 11.
So, the smaller number is 11 and the larger number is 11 + 17 = 28.

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To divide (5 1/4)÷(−2 1/2), convert the mixed numbers into improper fractions and then multiply by the reciprocal of the divisor. Simplify the result to get the quotient as -2 1/10.

To divide the given mixed numbers, (5 1/4)÷(−2 1/2), we first convert them into improper fractions.

5 1/4 can be written as (4*5 + 1)/4 = 21/4.

(−2 1/2) can be written as (-2*2 + 1)/2 = -5/2.

Now, we can divide the fractions by multiplying the reciprocal of the divisor: (21/4) * (-2/5) = (-21/4) * (2/5) = -21/10.

Finally, we simplify the result by dividing both the numerator and the denominator by their greatest common factor, which is 1. The simplified result is -21/10, which can be written as -2 1/10 as a mixed number.

To convert from inches to centimeters, the unit fraction used is 2.54 cm/1 in. Therefore, 15 inches is equal to 38.1 centimeters.

To convert a measurement from inches to centimeters, we utilize a unit conversion factor. In this instance, the unit conversion factor we're interested in relates inches to centimeters. One inch is equivalent to 2.54 centimeters. Hence, the unit fraction used for such conversion is 2.54 cm/1 in.

To determine the equivalent value in centimeters for 15 inches, we multiply the number of inches (15) by our unit conversion factor (2.54 cm/1 in). This gives us the following

15 inches * 2.54 cm/1 in = 38.1 cm.

So, 15 inches is equivalent to 38.1 centimeters when converted.

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To solve this problem, we simply have to multiply the original inches of rain to that of how many times it was for the rest of summer. So in this case, simply multiply 2.29 by 3, that is:

2.29 inches * 3 = 6.87 inches

Answer:

6.87 inches

The midpoint is the exact middle of a line segment which divides the line into two equal lengths. Hence, the coordinate of K is (11, 16)

We can obtain the distance between the coordinates of JM thus :

Distance = y2 - y1 ; x2 - x1

Distance = (8 - 5) ; (5 - (-6) = (3, 11)

Hence, the change in the coordinates is (3, 11)

Therefore, the coordinates of K can be obtained thus :

(8 + 3) ;(5 + 11) = (11, 16)

Hence, the coordinate of K is (11, 16)

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A. multiplying the function by -1

Multiplying the function by –1 is the  operation flips the graph of a function over the x-axis

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The operation that flips the graph of a function over the x-axis is multiplying the function by -1.

When a function is multiplied by -1, the y-values are negated, which causes the graph to reflect over the x-axis.

if we have a function f(x) = x², the graph will be a parabola that opens upwards.

However, if we multiply this function by -1 to get -f(x) = -x², the graph will be the same parabola reflected over the x-axis and opening downwards.

Hence, Multiplying the function by –1 is the  operation flips the graph of a function over the x-axis

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