Write programs with loops that compute
a. the sum of all even numbers between 2 and 100 (inclusive).
b. the sum of all squares between 1 and 100 (inclusive).
c. all powers of 2 from 20 up to 220.
d. the sum of all odd numbers between a and b (inclusive), where a and b are user inputs.
e. the sum of all odd digits of an input. (for example, if the input is 32677, the sum would be 3 + 7 + 7 = 17.)

2/20 = x/15

cross multiply

20x/30

x = 30/20 = 1.5

it will be 1.5 inches deep

2/20 = x/15

cross multiply

20x/30

x = 30/20 = 1.5

it will be 1.5 inches deep

The given data represents the average yearly balance in a savings account where interest is compounded annually. The function that best models the data is an exponential growth function.

The given data represents the average yearly balance in a savings account where interest is compounded annually. Since the balance is increasing over time, the function that best models the data is an exponential growth function. Option d, exponential growth function, is the correct answer.

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I believe that this problem has the following choices:

It must be equal to BQ .
It must be wider than when he constructed the arc centered at point A.
It must be equal to AB .
It must be the same as when he constructed the arc centered at point A.

The correct answer is the last one:

It must be the same as when he constructed the arc centered at point A.

Answer:

The compass must be the same width as it was when he constructed the arc from point A.

Step-by-step explanation:

In order to construct a perpendicular line to a given line, we need to construct a point above and a point below the line such that the segment through them meets the line at a right angle.

When he constructed the arc from point A, it gave him one piece to creating these points.  An arc from point B, intersecting the arc from point A at two points, will give him the two points he needs.

In order for the arc from point B to intersect the arc from point A, however, the width of the compass must be the same as it was when he constructed the arc from point A.

To find two positive numbers whose product is 36 and whose sum is a minimum, set up an equation using the arithmetic mean and geometric mean inequality. Solve for the two numbers.

To find two positive numbers whose product is 36 and whose sum is a minimum, we can use the concept of the arithmetic mean and geometric mean inequality. Let the two numbers be x and y. Since the product of the numbers is 36, we have xy = 36. Using the arithmetic mean and geometric mean inequality, we know that the minimum value of the sum of two positive numbers is attained when the two numbers are equal. Therefore, x = y. Substituting this into the equation xy = 36, we have x^2 = 36. Taking the square root of both sides, we get x = √36 = 6. So, the two positive numbers are x = 6 and y = 6.

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The two positive numbers whose product is 36 and whose sum is a minimum are 6 and 6.

To find two positive numbers whose product is 36 and whose sum is a minimum, we can use the concept of the Arithmetic Mean-Geometric Mean Inequality.

Let x and y be the two numbers.

According to the inequality, the minimum sum occurs when the numbers are equal.

So, we have x = y = √36 = 6.

Therefore, the two positive numbers whose product is 36 and whose sum is a minimum are 6 and 6.

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Solutions of a quadratic equation represent points where the graph of the equation (a parabola) intersects the x-axis, and there could be zero, one, or two real solutions.

The relationship between the 'solution' of a quadratic equation and the graph of a quadratic equation is that the solutions of a quadratic equation correspond to the points where the graph of this equation, also known as a parabola, intersects with the x-axis on a two-dimensional (x-y) graph. A quadratic equation can have zero, one, or two real solutions. These solutions are represented graphically by where the curve of the parabola intersects the x-axis.

When the parabola intersects the x-axis twice, there are two distinct real solutions. If the parabola is tangent to the x-axis, then there is exactly one real solution, also known as a repeated root, whereas if the parabola does not intersect or touch x-axis at all, then there are no real solutions, indicating that the roots are complex or imaginary.

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the correct answer is

B)y2 – 5y = 750

C)750 – y(y – 5) = 0

E)(y + 25)(y – 30) = 0

I JUST took the test

The Venn diagram that illustrates the given conditional statement is:

                  Option: a

Cars are motor vehicles.

This means that all the cars are motor vehicles but converse need not be true.

i.e. all the motor vehicles cant be cars.

i.e. Cars are contained in Motor Vehicles.

Hence, the correct Venn diagram is:  Option: a

(  Option: b represent the statement

Some cars are  Motor vehicles and some motor vehicles are cars.

Option: c represent the statement

Motor vehicles are Cars.

Option: d represent the statement:

Some motor vehicles are cars and some cars are motor vehicles.)

Answer: 7 units

Step-by-step explanation: In this problem, the given numbers -3 and 4 represent the coordinates of the endpoints of a segment and we are asked to find the length of the segment.

To find the length of a segment, we take the greater endpoint coordinate minus the lesser endpoint coordinate.

In this case, the greater endpoint coordinate is 4 and the lesser endpoint coordinate is -3.

So, we have 4 - (-3) which can also be thought of as 4 + 3 which equals 7.

Therefore, the length of this segment is 7 units.

There are a total of 360 degrees and a total of 24 hours, therefore there are 15 degrees per hour.

Location x is located at 45 degrees, so therefore the location after 1 hour must be at 60 degrees.

Answer:

D

Answer:

it is letter D

Step-by-step explanation:

its letter D when I was doing it, in go formative

Final answer:

Two consecutive odd integers whose squares sum to 1570 are found by setting up a quadratic equation. Solving this equation gives us 27 and 29 as the required integers.

Explanation:

The question requires us to find two consecutive odd integers whose squares add up to 1570. Let's consider the smaller integer to be n, which means the next consecutive odd integer would be n + 2 (since there is always a difference of 2 between consecutive odd numbers). Our equation based on the given information will be:

[tex]n^2 + (n + 2)^2[/tex] = 1570

To solve for n, we will expand the equation and simplify:

Solving the quadratic equation, we find that n = 27 and n = -29.

As we are looking for positive integers, we take n = 27. Therefore, the two consecutive odd integers are 27 and 29.

The effective annual percent growth rate is 3.97%.

The effective annual percent growth rate can be calculated using the formula:

Effective Annual Growth Rate = (1 + Growth Rate)^(1/n) - 1

Given that the investment grows by 20% over a 20-year period, the growth rate would be 0.20.

Substituting the values into the formula:

Effective Annual Growth Rate = (1 + 0.20)^(1/20) - 1

Simplifying further:

Effective Annual Growth Rate = (1.20)^(0.05) - 1

Effective Annual Growth Rate = 0.0397 or 3.97%

Final answer:

The effective annual percent growth rate for an investment that grows by 20% over a 20-year period is approximately 0.949%.

Explanation:

To calculate the effective annual percent growth rate, we need to use the formula for compound interest:

A = P(1 + r)^n

where:

We can rearrange this formula to solve for r:

r = (A/P)^(1/n) - 1

Given that the investment grows by 20% over 20 years, this means A = 1.20P, as it has increased by 20%. With P as the original amount and n as 20 years, the calculation is:

r = (1.20)^(1/20) - 1

Now we compute the value:

r = (1.20)^(0.05) - 1

r ≈ 0.00949

Converting this into a percentage:

r ≈ 0.949%

Therefore, the effective annual percent growth rate is approximately 0.949%.

Final answer:

To find out the amount of silk remaining, we need to subtract the amount of silk used to make the kite from the total amount of silk Alex had before purchasing the packages. After performing the calculations, we find that Alex doesn't have any silk remaining.

Explanation:

To find out how much silk remains, we need to subtract the amount of silk used to make the kite from the total amount of silk Alex had before purchasing the packages. Let's first simplify the expressions:

Total silk Alex had = 3x + 1

Total silk purchased = (x^2 + 5x + 4) × (2x + 1)

Silk used for kite = 2x^3 + 8x^2 + 10x + 4

Now, substitute the given values of x:

Total silk Alex had = 3(1500) + 1 = 4501 yards

Total silk purchased = (1500^2 + 5*1500 + 4) * (2*1500 + 1) = 22537500 yards

Silk used for kite = 2(1500^3) + 8(1500^2) + 10(1500) + 4 = 53910002004 yards

Finally, subtract the silk used for the kite from the total silk Alex had:

Silk remaining = Total silk Alex had - Silk used for kite = 4501 - 53910002004 = -53910001403 yards

Since the result is negative, it means that Alex doesn't have any silk remaining.

Answer:

Slope of the line  12=4x−6y is [tex]\frac{2}{3}[/tex] .

Step-by-step explanation:

The slope line form is denoted by

y = mx + c

Where m is the slope and c is the y- intercept .

As given

The equation of the line is given by .

12=4x−6y

It is also written as

6y = 4x - 12

[tex]y = \frac{4x}{6} -\frac{12}{6}[/tex]

Simplify the above

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

(Compare with y = mx + c )

Thus

[tex]m = \frac{2}{3}[/tex]

Therefore the slope of the line  12=4x−6y is [tex]\frac{2}{3}[/tex] .