Which of these schedules follow the guidelines for a teenager's daily physical
activity? Select the two correct answers.
• A. 30 minutes practicing gymnastics and 30 minutes cycling
B. 15 minutes washing dishes, 10 minutes shopping at the mall, and
Im minutes dancing
• C. 15 minutes raking leaves and 15 minutes walking
• D. 30 minutes playing soccer, 20 minutes climbing a rock wall, and
10 minutes practicing yoga

The pay at the Digital Source is a variable amount that depends on the employee's job position and experience level. The pay is represented in dollars per hour, and it ranges from $12 per hour for a new employee in a low-level position to $60 per hour for a senior developer with extensive experience.

For example, if we look at the table created in part a, we can see that a junior developer with less than a year of experience will earn $18 per hour, while a senior developer with more than 10 years of experience will earn $60 per hour. This means that the pay at the Digital Source is directly related to the employee's experience and job position.

Additionally, the table also shows that the pay rate increases as the employee gains more experience and moves up the career ladder. For instance, a junior developer with less than a year of experience will earn $18 per hour, but a mid-level developer with 3-5 years of experience will earn $35 per hour. This shows that employees are rewarded for their skills and experience, and they have the opportunity to advance their careers and earn higher pay rates.

In summary, the pay at the Digital Source is a variable amount that depends on the employee's job position and experience level. The pay rate ranges from $12 per hour to $60 per hour, and it increases as the employee gains more experience and moves up the career ladder. The company values the skills and expertise of their employees and rewards them accordingly.

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The amount of simple interest owed for the loan is $30,010.00.

A method for determining the proportion of interest paid on a sum over a predetermined period of time at a predetermined rate is called simple interest. In simple interest, the principal amount remains unchanged. A straightforward and simple method for calculating money interest is simple interest.

To calculate the simple interest, we use the formula:

Simple Interest = P * r * t

where P is the principal amount, r is the interest rate as a decimal, and t is the time period in years.

Substituting the given values, we get:

Simple Interest = $15,400 * 0.15 * 13

= $30,010.00

Therefore, the amount of simple interest owed for the use of the loan is $30,010.00.

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Answer: 36

Step-by-step explanation:

4(9/3)(2) = 36

Answer:

x(z ÷ 3)² = 36

Step-by-step explanation:

Given expression,

→ x(z ÷ 3)²

Now we have to use,

→ x = 4

→ z = 9

Let's simplify the expression,

→ x(z ÷ 3)²

→ 4(9 ÷ 3)²

→ 4 × (3)²

→ 4 × 9

→ 36 => {answer}

Therefore, the answer is 36.

Answer:

y=-3x+5

Step-by-step explanation:

A line that is parallel to y=-3x-5 will have the same slope, which is -3.

Using the point-slope form, we can write the equation of the line as:

y - 8 = -3(x + 1)

Simplifying:

y - 8 = -3x - 3

Adding 8 to both sides:

y = -3x + 5

Therefore, the equation of the line in slope-intercept form that is parallel to y=-3x-5 and goes through the point (-1,8) is y = -3x + 5.

Answer:

biquadratic polynomial

Step-by-step explanation:

it has degree 4

Answer:

Let's use "x" to represent the total number of students in the class.

According to the problem, the number of boys is 7/10 of the total number of students, and the number of girls is 3/10 of the total number of students. We can set up the following equation based on this information:

Number of Boys = 7/10 x

Number of Girls = 3/10 x

The problem also tells us that there are 16 more boys than girls in the class. We can set up another equation based on this information:

Number of Boys = Number of Girls + 16

Now we can use these two equations to solve for the total number of students:

7/10 x = 3/10 x + 16

Subtracting 3/10 x from both sides, we get:

4/10 x = 16

Multiplying both sides by 10/4, we get:

x = 40

Therefore, there are 40 students in the class. To find the number of boys and girls, we can use the equations we set up earlier:

Number of Boys = 7/10 x = 7/10 * 40 = 28

Number of Girls = 3/10 x = 3/10 * 40 = 12

So there are 28 boys and 12 girls in the class.

The measure of the missing angles of the right triangle are 57 degree and 33 degrees.

The sum of the interior angles of a triangle equals 180 degrees.

From the diagram:

Angle A =  (4x - 7) degrees

Angle B = (3x - 15) degrees

Angle C = 90 degrees

In a right triangle, the sum of the two acute angles is 90 degrees.

So, we have:

angle A + angle B + 90 = 180 (sum of angles in a triangle)

(4x - 7) + (3x - 15) + 90 = 180

Solve for x

4x - 7 + 3x - 15 + 90 = 180

4x + 3x - 15 - 7 + 90 = 180

7x - 15 - 7 + 90 = 180

7x + 68 = 180

7x = 180 - 68

7x = 112

x = 112/7

x = 16

Therefore, the missing angles will be:

angle A = (4x - 7) =  4(16) - 7 = 57 degrees

angle B = (3x - 15) = 3(16) - 15 =  33 degrees.

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Answer:

The measure of the missing angles of the right triangle are 57 degree and 33 degrees.

Step-by-step explanation:

The function f(x) = 5/(x+3), vertical asymptote at x = -3,  domain of the function is all real numbers except x = -3,  range is all real numbers except 0.

A function is a mathematical object that takes one or more inputs (usually represented as variables) and produces a single output. In other words, a function is a relation between sets of inputs and outputs that associates each input value with exactly one output value.

A function can be represented by an equation or a graph. The most common way to write a function is in the form f(x) = y, where x is the input variable and y is the output variable. The function f maps each value of x to a corresponding value of y.

Functions can be classified based on their properties, such as their domain (set of allowable input values), range (set of output values), and behavior (e.g., increasing, decreasing, constant, etc.). Some common types of functions include linear, quadratic, exponential, trigonometric, and logarithmic functions.

The function f(x) = 5/(x+3) has a vertical asymptote at x = -3, since the denominator becomes zero at that point.

The domain of the function is all real numbers except x = -3, since division by zero is undefined.

To find the range, we can consider what happens to the function as x approaches -3 from both sides. As x approaches -3 from the left (i.e., as x gets closer and closer to -3 from values less than -3), the function becomes increasingly negative. As x approaches -3 from the right (i.e., as x gets closer and closer to -3 from values greater than -3), the function becomes increasingly positive. This means that the range of the function is all real numbers except 0.

Therefore, the asymptote is x = -3, the domain is all real numbers except x = -3, and the range is all real numbers except 0.

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Answer:

Step-by-step explanation:

the minimum mark the student should obtain is 32

She needs 14 cups of fertiliser.

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface.

Area = length * width

Find the area of the garden:

Area = 9 1/3 * 12

       = 28/3 * 12

       = 112  yards²

Find the amount of the fertiliser needed:

1   yards² = 1/8 cup

112  yards² = 1/8 * 112 = 14 cups

She needs 14 cups of fertiliser.

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The water level is rising at a rate of 32 ft/min when the water is 6 inches deep.

How to solve rise of water level?

Let's first draw a diagram to better understand the problem:

            /|\

           / | \

          /  |  \

         /   |h \

        /    |   \

       /     |    \

      /      |     \

     /       |      \

    /        |       \

   /         |        \

  /_________|

       b

where h is the height of the water, b is the width of the trough at water level, and 10 is the length of the trough.

Since the trough is being filled at a rate of 12 ft³/min, the volume of water in the trough is increasing at a rate of 12 ft³/min. Let's use this to find the rate at which the water level is rising.

The volume of water in the trough is given by the formula:

V = (1/2)bh²

where b is the width of the trough at water level, h is the height of the water, and 1/2 is the area of the triangular cross-section of the trough. We want to find the rate at which h is changing when h = 6 inches = 0.5 ft.

Differentiating both sides of the formula with respect to time t, we get:

dV/dt = (1/2)(db/dt)(h^2) + (1/2)(b)(2h)(dh/dt)

where db/dt is the rate at which the width of the trough at water level is changing, and dh/dt is the rate at which the water level is changing (i.e., the rate we want to find).

We know that dV/dt = 12 ft³/min and h = 0.5 ft. We also know that the width of the trough at the water level is 3 ft. To find db/dt, we need to use similar triangles. The triangle formed by the water and the sides of the trough is similar to the isosceles triangle at the end of the trough. Therefore, the ratio of the width of the trough at the water level to the height of the water is constant:

b/h = 3/1

Solving for b, we get:

b = 3h

on diffrentiating

db/dt = 3(dh/dt)

Substituting the values we know into the formula for dV/dt, we get:

12 = (1/2)(3h)(h²) + (1/2)(3h)(2h)(dh/dt)

12 = (3/2)h³+ 3h²(dh/dt)

4 = h²(dh/dt)

Solving for dh/dt, we get:

Therefore, the water level is rising at a rate of 32 ft/min when the water is 6 inches deep.

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Step-by-step explanation:

Let's use d to represent the number of days it will take Tom to finish the challenge miles.

Since Tom is currently 10 miles into the challenge and plans to run 4 miles each day until he finishes, the total number of miles he will run is 75 - 10 = 65 miles.

If he runs 4 miles each day, we can use the equation:

total distance = distance per day * number of days

to find the number of days it will take Tom to run 65 miles. Plugging in the known values, we get:

65 = 4d

Simplifying this equation, we can solve for d:

d = 65/4

So, it will take Tom d = 16.25 days to finish the running challenge if he runs 4 miles each day. However, since he cannot run a fraction of a day, we can round up the answer to the nearest whole number of days. Therefore, it will take Tom 17 days to finish the challenge.

The equation that can be used to find the number of days, d, it will take Tom to finish running the challenge miles is:

d = ceil(65/4)

where ceil is the ceiling function, which rounds up the result to the nearest whole number.

Answer:

16 days + 1 mile

Step-by-step explanation:

Answer:  B. 133 gallons

Step-by-step explanation: 90% of 1330 is 1197. you can take 10% which is 133 and multiply it by 9 to get that answer. then you have to subtract 1197 from 1330 to get you 133

If the amount of jen's monthly phone bill is normally distributed with a mean of $86 and standard deviation of $9, Between the values of $77 and $95 inclusive, 68.26% of Jen's phone bills are expected to fall.

To find the values between which 68.26% of Jen's phone bills lie, we need to use the properties of the normal distribution and the empirical rule.

The empirical rule states that for a normal distribution, approximately 68% of the data lie within one standard deviation of the mean. Therefore, we can find the values between which 68.26% of Jen's phone bills lie by calculating the range of values that are one standard deviation away from the mean.

Using the given population mean of $86 and population standard deviation of $9, we can calculate one standard deviation as follows:

One standard deviation = population standard deviation = $9

To find the lower and upper bounds for 68.26% of Jen's phone bills, we can subtract and add one standard deviation from the mean, respectively:

Lower bound = population mean - one standard deviation = $86 - $9 = $77

Upper bound = population mean + one standard deviation = $86 + $9 = $95

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Answer:

−18 x + 12

Step-by-step explanation:

multiply using the distributive property

Answer:

-2(9x-6)

-2 divided by 9x = - 18

-2 divided by - 6 = 12 (negative + negative =positive)

= - 18x +12

Answer:

[tex]y = \frac{2}{7} x - \frac{20}{7} [/tex]

Step-by-step explanation:

[tex] - 2 = \frac{2}{7} (3) + b[/tex]

[tex] - \frac{14}{7} = \frac{6}{7} + b [/tex]

[tex]b = - \frac{20}{7} [/tex]

[tex] y = \frac{2}{7} x - \frac{20}{7} [/tex]

Answer:

11

Step-by-step explanation:

add up the exponents

3+1+1+4+2=11

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Answer:

42 m2

Step-by-step explanation:

3=18

7=?

=7 × 13 ÷ 3

=42

Answer:

I got to #1 and #3 but I didn't finish in time and I have to leave before I can finish the other ones, my apologies. The solve and steps for 1 and 3 are below. If no one has answered the other two I can probably solve the other two later tonight!

Hope this helps!

The combined resistance, R, of two resistors with resistances r and s connected in parallel can be calculated using the equation:
[tex]1/R = 1/r + 1/s[/tex]
When an electric current passes through these resistors, the combined resistance depends on the values of r and s. To analyze the behavior of R with respect to r, we can rewrite the equation as:
[tex]R = (rs)/(r + s)[/tex]
R is a function of r and s, and its behavior depends on the values of r and s. If r and s are positive, the function is neither increasing nor decreasing globally, as it depends on both r and s values. However, for specific values of r and s, the function can be either increasing or decreasing locally.
There is no global maximum or minimum for this function because it depends on the specific values of r and s, and it can take any positive value depending on these resistances. So, the answer is none for global maximum or minimum.
In summary, the behavior of the combined resistance R when an electric current passes through two resistors connected in parallel depends on the values of r and s. It is neither globally increasing nor decreasing and has no global maximum or minimum.

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Professor Salton's measure for work is the number of hours worked for a non-academic job, as reported by respondents in his survey.

This measure is a simple but effective way to gain an understanding of how work can impact a student's academic studies. It provides a direct measure of the amount of time that students spend working outside their academic pursuits, and can be used to quantify the potential effects of working on their educational success.

By taking this measure, Professor Salton has provided an effective way of analyzing the relationship between work and study. It allows researchers to determine whether working has an impact on student performance and academic outcomes. It also allows researchers to investigate whether certain types of work, such as part-time or full-time employment, have more of an impact than others.

Ultimately, this measure is an invaluable tool for researchers to gain a better understanding of the effects of work on student success.

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Answer:$10

Step-by-step explanation: We are given the ratio 9:1. Meaning for every 9 dollars he spends on healthy food, he can spend a dollar on snacks. If he intends on paying 100 dollars total, how much will he spend on snacks?

He would have spent 90 dollars on healthy food, and 10 dollars on snack food. Totaling 100 dollars.

2. Using percentage, we can find that Melissa needs to save $34500 in order to purchase the house.

3. The project was worth 97 points.

The denominator of a percentage (also known as a ratio or fraction) is always 100.

As a percentage, "%" is read as "percent" or "percentage" in this context.

You may always "divide by 100" this percent symbol to make it into a fraction or decimal equivalent.

Here we can see that Melissa has already $2500 in her savings account.

Total cost of house = $185000

Now for the loan she needs to have 20% of the mortgage as savings.

20% of $185000

20/100 × 185000

= 37000

Now she already has $2500.

So, the amount she need to save is= $37000 - $2500

= $34500

Now, total grade Brooke received = 87.

10 points have been taken off for her mistakes.

Total worth of test = 87+10 =97points.

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Carter has 13 dimes in his piggy bank

To solve this equation, we need to use the distributive property to simplify the equation:
(x dimes x 10 cents) + (37-x nickels x 5 cents) = $3.10
We can then solve for the number of dimes by isolating the dimes on one side of the equation:
x dimes x 10 cents = $3.10 - (37-x nickels x 5 cents),By dividing both sides of the equation by 10 cents, we can solve for the number of dimes, x:
x dimes = ($3.10 - (37-x nickels x 5 cents)) / 10 cents

Plugging in the value of 37 coins and solving the equation, we get:
x dimes = (3.10 - (37 -x nickels x 5 cents)) / 10 cents
x dimes = (3.10 - 185 + 5x) / 10 centsx dimes = (3.10 - 180) / 10 centsx dimes = 1.30 / 10 centsx dimes = 13 dimes
Therefore, Carter has 13 dimes in his piggy bank.

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From the given information provided, the area of the new hexagon when dilated by scale factor is 675 square inches.

When a polygon is dilated by a scale factor of k, its area is multiplied by k².

A hexagon is a six-sided polygon. It is a flat shape with straight sides, and all six of its angles add up to 720 degrees.

In this case, the hexagon is being dilated by a scale factor of 3, so the area of the new hexagon will be:

Area of new hexagon = (scale factor)² x Area of original hexagon

Area of new hexagon = 3² x 75

Area of new hexagon = 9 x 75

Area of new hexagon = 675 square inches

Therefore, the area of the new hexagon is 675 square inches.

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The correct option is - Graph B, represent quadratic function "p", when values of "a" and "c" are both less than 0.

f(x) = ax² + bx + c, in which a, b, and c are numbers and an is not equal to zero, is a quadratic function.

The given function :

y = ax² + c.

a < 0 and c <0.

Thus, Graph B, represent function "p", when values of "a" and "c" are both less than 0, and the graph will open downward with c less than 0.

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The answer is 30 people. Becky can serve  30 people. (Option 4).

To find the number of people Becky can serve, we need to divide the total amount of chocolate mousse she has by the amount each person will be served.

Since Becky has 10 cups of chocolate mousse, we can convert that into the number of 1/3 cup servings by multiplying by 3, which gives us 30 servings.

Therefore, Becky can serve 30 people with the 10 cups of chocolate mousse she made.

It's important to note that an answer is a whole number, so the options of 1/30 people and 3 1/3 people are not reasonable answers. The correct answer is 30 people.

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Complete Question:

Becky made 10 cups of chocolate mousse for dessert. If she plans to serve each person 1/3 of a cup of chocolate mousse, how many people can she serve?

The value of x in the intersected chord is 72.95 degrees.

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

The chords intercepts to form two arc angles 42.9 and 103 degrees. The inscribed angle formed by the intersected chord can be found as follows:

Therefore,

x = 1 / 2 (103 + 42.9)

x = 1 / 2 (145.9)

x = 72.95

Therefore,

x = 72.95 degrees

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The rate at which the surface area of the sphere is decreasing when the radius is 8 meters and decreasing at a rate of 3 m/s is approximately -192π square meters per second.

Let's start by finding the formula for the surface area of a sphere. The surface area (A) of a sphere with radius (r) is given by the formula:

A = 4πr²

Now, we need to find the rate at which the surface area is changing with respect to time (t) when the radius is 8 meters and the rate of change of radius is 3 m/s.

To find dA/dt, we need to differentiate the formula for surface area with respect to time, using the chain rule:

dA/dt = d/dt (4πr²) = 8πr (dr/dt)

Here, we have used the fact that the derivative of r² with respect to time is 2r (dr/dt) by the chain rule. Now, we can substitute the given values into the formula to find the rate of change of surface area:

r = 8 m (given)

dr/dt = -3 m/s (negative sign because the radius is decreasing)

π ≈ 3.14 (constant)

dA/dt = 8πr (dr/dt)

dA/dt = 8π(8)(-3)

dA/dt = -192π

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