Iterative Process
Question Attatched

An aerobic zone is characterized by a maximum heart rate in the range of C. 70% to 80%.

Adults have a normal resting heart rate of 60 to 100 beats per minute. In general, a lower resting heart rate indicates more efficient heart function and better cardiovascular fitness. A well-trained athlete, for example, may have a normal resting heart rate closer to 40 beats per minute.

Zone three of the five heart rate zones is the aerobic heart rate zone. Individual aerobic heart rate zones range from 70% to 80% of maximum heart rate. Exercises in this zone can be done for a long time, at least 40 minutes.

Learn more about heart on:

https://brainly.com/question/26387166

#SPJ1

Answer:

65 degrees

Step-by-step explanation:

It is an isosceles triangle, because two sides are equivalent. The only way both equivalent sides share a point is if that point (Q) is in the middle. The measure is 50 degrees. A triangle = 180 degrees. In an isosceles triangle, the two angles below the two equivalent sides must be equal.

180 - 50 = 130

130 / 2 = 65

Both angles that are not Q equal 65 degrees. And P is one of them.

:)

Answer:

65 degrees I believe

Step-by-step explanation:

Math skillz xD lol

Answer:

Step-by-step explanation:

Answer:

the x is 5

Step-by-step explanation:

x=5y+20:

x=5y+20

x=(5)(-3)+20

x=5 (simplify boy sides of the equation)

Answer:

A

Step-by-step explanation:

According to the given question.

Total number of shirts, n = 12

Number of shirts to be selected, r = 3

As we know, the total number of ways of selection of r objects from n objects at a time without replacement is given by

C(n, r) = n!/r!(n - r)!

Answer:

3 x 8 = ____16____

Step-by-step explanation:

8+8+8= 16 or 3+3+3+3+3+3+3+3= 16

Hope this helps :)

Answer:

3 x 8 = ____16____

Step-by-step explanation:

8+8+8= 16 or 3+3+3+3+3+3+3+3= 16

Step-by-step explanation:

The only true statement that compares the two functions is:

B: The solution to f(x)=g(x) is 1

Here we have the functions:

f(x) = |x - 3| + 1

g(x) = 2x + 1

First, let's find the solution for:

f(x) = g(x)

|x - 3| + 1 = 2x + 1

|x - 3| = 2x

Notice that we have two options, x = 3:

|3 - 3| = 2*3

0 = 6  (x = 3 is not a solution)

And x = 1:

|1 - 3| = 2*1

2 = 2  (x = 1 is a solution).

Now to get the y-value where the graphs intersect, we just evaluate one of the functions in the solution we found above;

f(1) = |1 - 3| + 1  = 2 + 1 = 3

The graphs intersect when y = 3.

Then we conclude that the only true statement is:

B: The solution to f(x)=g(x) is 1

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

The difference between the 2 in the tens place and 2 to its left column in the given number 2,222.222 is 180.

According to the number system, a number can be written in its expanded form according to their pace value in the chart.

2,222.222 can be written as 2×1000+2×100+2×10+2X1+2×1/10+2×1/100+2×1/1000

The place value of 2 in the tens place in given number 2,222.222 = 20

The place value of 2 in its left column in the given number 2,222.22  = 200

Difference between the place of 2 in tens place and 2 in its left column

= 200 - 20

= 180

To know more about number system here

https://brainly.com/question/674206

#SPJ4

Answer:

40%

Step-by-step explanation:

Find the percent by dividing 220 by 550

220/550

= 0.4

So, he spends 40% of his monthly income on gas

Answer: 40%

Step-by-step explanation:

I  would put an explanation but I am supposed to be in class!

Answer:

Part A)

6 m/s²

Part B)

-3 m/s.

Step-by-step explanation:

We are given that the velocity, in meters per second, of an object at a time t for t ≥ 0 is given by the function:

\(\displaystyle v(t) = 2t^3 - t^2 - 4\)

Part A)

To find the average acceleration of the object during the first two seconds, we can find the average slope of v from t = 0 to t = 2. Hence:

\(\displaystyle \begin{aligned} \text{avg} & = \frac{v(2) - v(0)}{(2)-(0)} \\ \\ & = \frac{(8) - (-4)\text{ m/s}}{2\text{ s}}\\ \\ & = 6\text{ m/s$^2$}\end{aligned}\)

Hence, the average acceleration of the object during the first two seconds was 6 m/s².

Part B)

Recall that acceleration is the derivative of the velocity function. In other words:

\(\displaystyle a(t) = \frac{d}{dt}\left[ v(t)\right]\)

Substitute and solve:

\(\displaystyle \begin{aligned}a(t) & = \frac{d}{dt}\left[ 2t^3 - t^2 - 4\right] \\ \\ &= 6t^2 - 2t \end{aligned}\)

To find the time(s) for which the acceleration is equal to 4, set a equal to 4 and solve for t:

\(\displaystyle \begin{aligned}4 & = 6t^2 - 2t \\ \\ 2 & = 3t^2 - t \\ \\ 3t^2 - t - 2 & = 0 \\ \\ (t-1)(3t+2) & = 0 \\ \\ t = 1 \text{ or } t = -\frac{2}{3} \end{aligned}\)

Since t ≥ 0, we can ignore the second solution.

Evaluate v at t = 1:

\(\displaystyle v(t) = 2(1)^3 - (1)^2 - 4 = -3\text{ m/s}\)

In conclusion, when the acceleration is 4 m/s² at t = 1, the velocity is -3 m/s.

There is no sufficient evidence at the 0.01 level of significance to conclude that the proportion of women physicians at the university health system exceeds 27.9%.

To answer your question, we'll perform a hypothesis test using the given information. We'll test if the proportion of women physicians at the university health system exceeds 27.9%. Here's the setup:

Null hypothesis (H0): p = 0.279 (The proportion of women physicians is 27.9%)
Alternative hypothesis (H1): p > 0.279 (The proportion of women physicians exceeds 27.9%)

In this case,
- Sample size (n) = 119
- Number of women physicians in the sample (x) = 34
- Significance level (α) = 0.01

Now, we'll calculate the sample proportion (p') and the test statistic (z):

p' = x / n = 34 / 119 ≈ 0.2857

z = (p' - p) / √(p * (1-p) / n) ≈ (0.2857 - 0.279) / √(0.279 * (1-0.279) / 119) ≈ 0.467

Next, we'll find the critical z-value for the given significance level (α):

For a one-tailed test with α = 0.01, the critical z-value (z_critical) is approximately 2.33.

Now, compare the test statistic (z) with the critical z-value (z_critical):

Since z ≈ 0.467 is less than z_critical ≈ 2.33, we fail to reject the null hypothesis.

In conclusion, we do not have sufficient evidence to conclude that the proportion of women physicians at the university health system exceeds 27.9% at the 0.01 level of significance.

Learn more about hypothesis test here: https://brainly.com/question/29576929

#SPJ11

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

These type of problems could be a little tricky so I'll explain this one as I go.

So the first step I would do is to multiply the 8 in both sides so you end up with...\(x+11=-24\)

After that it should be easier and you'll go at it normally by subtracting the 11 in both sides and that should leave you with the answer of \(x=-35\)

Answer:

B

Step-by-step explanation:

To find which ordered pairs are solutions to the inequalities we can simply plug in the x and y values of the ordered pairs into the inequalities and if the equation is true for both inequalities then the ordered pair is a solution to the inequalities.

For (0,0)

x = 0

y = 0

y > x + 5

Substitute 0 for y and x

0 > 0 + 5

Simplify right side

0 > 5

The inequality is not true as 5 is greater than 0, not less than. So immediately we can eliminate answer choice A.

For (5,1).

x = 5

y = 1

y > x + 5

Substitute 5 for x and 1 for y

1 > 5 + 5

Simplify right side

1 > 10

Again, the equation is not true as 1 is not greater than 10. This means that c cannot be the answer

For (3,7)

x = 3

y = 7

y > x + 5

Substitute 3 for x and y for 7

7 > 3 + 5

Simplify right side

7 > 8

7 is not greater than 8 meaning that (3,7) cannot be a solution to the inequalities

None of the ordered pairs created true equations hence the answer is B

Answer:

y = 16/3 - 2/9x

Step-by-step explanation:

1/6x + 3/4y = 4

we want to get y alone so we subtract 1/6x on both sides

3/4y = 4-1/6x

then divide 3/4 on both sides to isolate y

y = (4 - 1/6x) / 3/4

simplify

y = 16/3 - 2/9x

The approximate number of students with Scores between 68 and 83 is 98.Answer: a. 98

The five-number summary for scores on a statistics exam is: 35, 68, 77, 83 and 97. In all, 196 students took this exam About how many students had scores between 68 and 83?

The five-number summary consists of the minimum value, the first quartile, the median, the third quartile, and the maximum value.

The interquartile range is the difference between the third and first quartiles. Interquartile range (IQR) = Q3 – Q1, where Q3 is the third quartile and Q1 is the first quartile. The 5-number summary for scores on a statistics exam is given below:

Minimum value = 35

First quartile Q1 = 68

Median = 77

Third quartile Q3 = 83

Maximum value = 97

The interval 68–83 is the range between Q1 and Q3.

Thus, it is the interquartile range.

The interquartile range is calculated as follows:IQR = Q3 – Q1 = 83 – 68 = 15

The interquartile range of the scores between 68 and 83 is 15. Therefore, the number of students with scores between 68 and 83 is roughly half of the total number of students. 196/2 = 98.

Thus, the approximate number of students with scores between 68 and 83 is 98.Answer: a. 98

For more questions on Scores .

https://brainly.com/question/32698527

#SPJ8

Answer:

The answer is

Step-by-step explanation:

(3x + 2)⁴

Using the Pascal's triangle

For an exponent of 4 we have

( a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b³

Using a = 3x and b = 2 we have

( 3x +2)⁴ = ( 3x)⁴ + 4 [ (3x)³(2) ] + 6[ (3x)²(2)²] + 4 [ 3x(2)³ ] + 2⁴

Expand and simplify

That's

➢ ( 3x +2)⁴ = 81x⁴ + 4[ (27x³)(2) ] + 6 [ (9x²)(4) ] + 4 [ 3x(8) ] + 16

➢ 81x⁴ 4( 54x³) + 6(36x²) + 4( 24x) + 16

We have the final answer as

Hope this helps you

The half-life of radon-222 is 3 days, it will take an additional 3 days for the remaining 42% of the sample to decay, for a total of 6 days for the sample to decay completely.

The half-life of a radioactive is time for 50% of its particles to decay or disintegrate into a new element. The pace at which a radioactive material will decay is predicted using this indicator of an isotope's stability. An element's half-life, which differs substantially across various elements, is based on the unique characteristics of its nucleus.

For instance, the half-life of uranium-238 is 4.5 billion years whereas that of carbon-14 is 5,730 years. This indicates that half of the carbon-14 atoms in a sample will have decayed after 5,730 years, and half of the uranium-238 atoms will have decayed after 4.5 billion years.

How to solve?

(a) After 3 days, the sample has decayed to 58% of its original amount, which means that half of the original amount has already decayed. Therefore, the half-life of radon-222 is 3 days.

(b) Since the half-life of radon-222 is 3 days, it will take an additional 3 days for the remaining 42% of the sample to decay, for a total of 6 days for the sample to decay completely.

To learn more about half life of an element, visit:

https://brainly.com/question/13259048

#SPJ4

Answer:

Volume = length x width x height.

You only need to know one side to figure out the volume of a cube.

The units of measure for volume are cubic units.

Volume is in three-dimensions.

You can multiply the sides in any order.

Which side you call length, width, or height doesn't matter.

Step-by-step explanation:

Answer: x = 13

Step-by-step explanation: When solving an equation like this, we are trying to get our variable which is our letter by itself.

So we first want to ask ourselves what is the 14 doing to x. Well, we can see that it's being added to x so to get x by itself, we will do the opposite of addition which is subtraction. So we subtract 14 from both sides of the equation.

The +14 -14 cancels out so we're left with x on the left.

On the right, we must subtract 14 from 27 to get 13.

So we have x = 13 which is the solution to this equation.

Answer:

\(x = 13\)

Step-by-step explanation:

\(x + 14 = 27 \\ x = 27 - 14 \\ x = 13\)

Given the function y = 0.5(3)^x, we have that its graph is the following:

Notice that the exponential value is greater than 1 ( 3 > 1), therefore, this equation represents exponential growth

Answer: Diego is correct, and X = 145

Step-by-step explanation:

The line that 35* and x* rest on must equal 180*. Elena cannot be right if we assume this, as 35 + 35 = 70. We must then move onto Diego's formula.

\(X + 35 = 180\)

\(180 - 35 = X\)

\(X = 145\)

Solving this, we would subtract 35 from 180, leaving us with 145*. This must be correct as the solution would give us the total we need.

Answer:

substitute for v, when v = -2.9

Step-by-step explanation:

\(-1.98=5.2v+13.1\)

subtract 13.1 on both sides.

\(-15.08=5.2v\)

divide by 5.2 to isolate v

\(\frac{-15.08}{5.2} = \frac{5.2v}{5.2}\)

\(-2.9=v\)

substitute for v

\(-1.98=5.2(-2.9)+13.1\)

\(-1.98=-15.08+13.1\)

\(-1.98=-1.98\)

the solution for the initial value problem is: u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t) where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

The given partial differential equation is:

au(x, t) = 4 * (d²u(x, t) / dt²) / (dx²)

a) BCs (Boundary Conditions):

We have u(0, t) = 0 and u(π, t) = 0.

IC (Initial Condition):

We have u(x, 0) = x.

To solve this initial value problem, we need to find a function f(x) that satisfies the given boundary conditions and initial condition.

The solution for f(x) can be found using the method of separation of variables. Assuming u(x, t) = X(x) * T(t), we can rewrite the equation as:

X(x) * T'(t) = 4 * X''(x) * T(t) / a

Dividing both sides by X(x) * T(t) gives:

T'(t) / T(t) = 4 * X''(x) / (a * X(x))

Since the left side only depends on t and the right side only depends on x, both sides must be equal to a constant value, which we'll call -λ².

T'(t) / T(t) = -λ²

X''(x) / X(x) = -λ² * (a / 4)

Solving the first equation gives T(t) = C1 * exp(-λ² * t), where C1 is a constant.

Solving the second equation gives X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) + C3 * cos(sqrt(-λ² * (a / 4)) * x), where C2 and C3 are constants.

Now, applying the boundary conditions:

1) u(0, t) = 0:

Plugging in x = 0 into the solution X(x) gives C3 * cos(0) = 0, which implies C3 = 0.

2) u(π, t) = 0:

Plugging in x = π into the solution X(x) gives C2 * sin(sqrt(-λ² * (a / 4)) * π) = 0. To satisfy this condition, we need the sine term to be zero, which means sqrt(-λ² * (a / 4)) * π = n * π, where n is an integer. Solving for λ, we get λ = ± sqrt(-4n² / a), where n is a non-zero integer.

Now, let's find the expression for u(x, t) using the initial condition:

u(x, 0) = X(x) * T(0) = x

Plugging in t = 0 and X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) into the equation above, we get:

C2 * sin(sqrt(-λ² * (a / 4)) * x) * C1 = x

This implies C2 * C1 = 1, so we can choose C1 = 1 and C2 = 1.

Therefore, the solution for the initial value problem is:

u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t)

where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

Note: Please double-check the provided equation and ensure the values of a and the given boundary conditions are correctly represented in the equation.

To know more about Equation related question visit:

https://brainly.com/question/29657983

#SPJ11

Answer:

15x - 3y

Explaination:

Adding 7x and 8x will give you 15x and the -3y doesn't need to be added up.

I hope this helps you.

Answer:

The answers is the first option.

Step-by-step explanation:

The two lines' intercepts are -4 and -1. In this case we can eliminate the second option. Now the answer would be option 1 because one of the lines is shaded(≤) and the other is not(>)

Answer:

x = 140

Step-by-step explanation:

Given the equations

\(\frac{2}{5}\) x - \(\frac{1}{5}\) y = 98 ( multiply through by 5 to clear the fractions )

2x - y = 490 → (1)

\(\frac{2}{7}\) x - \(\frac{1}{14}\) y = 55 ( multiply through by 14 to clear the fractions )

4x - y = 770 → (2)

Subtract (1) from (2) term by term to eliminate y

2x + 0 = 280

2x = 280 ( divide both sides by 2 )

x = 140

Answer:

cause it is

Step-by-step explanation:

it just is, sorry i can't help. maybe bc there are more positive functions then negative ones?

Step-by-step explanation:

Let's establish our equation first:

\( \frac{40mp3}{month} \times \frac{90dollars}{mp3} = 3600 \frac{dollars}{month} \)

The equation above is for the basis month.

But the next month, we decreased the cost of mp3 player to sold 4 more units.

\( \frac{(40 + 4)mp3}{month} \times \frac{(90 - 5)dollars}{mp3} = 3740 \frac{dollars}{month} \)

And the next month, we decreased the cost again to gain 4 more additional units sold.

\( \frac{(40 + 4x)mp3}{month} \times \frac{(90 - 5x)dollars}{mp3} = revenue per \: month\)

If we substitute x with 2, we get 3840.

If we substitute x with 3, we get 3900.

If we substitute x with 4, we get 3920.

If we substitute x with 5, we get 3900.

At fifth time we decreased our price, we also got lesser revenue.

Therefore, our highest revenue would be $3,900.00 per month at our 4th price decrease with a price of $70.00.

The amount of interest Judith will pay in the 40th month is $401. Thus, the correct answer is option A.

To calculate the amount of interest Judith will pay in the 40th month, we need to determine the remaining mortgage balance at that time. With an amortization period of 22 years (264 months), after 40 months, there will be 264 - 40 = 224 months remaining.

Using the formula for mortgage balance, we can find the remaining balance:

Remaining Balance = Principal * [((1 + r)^n) - ((1 + r)^m)] / [((1 + r)^n) - 1]

Where Principal = $175,000 (initial loan amount), r = 3.2% / 2 = 1.6% (semi-annual interest rate), n = 22 * 2 = 44 (total number of semi-annual periods), and m = 224 / 2 = 112 (remaining number of semi-annual periods).

Substituting the values into the formula, we find:

Remaining Balance = $175,000 * [((1 + 0.016)^44) - ((1 + 0.016)^112)] / [((1 + 0.016)^44) - 1] = $147,334.89

The interest paid in the 40th month is the difference between the previous month's balance and the remaining balance:

Interest = Previous Balance * Monthly Interest Rate = $175,000 - $147,334.89 = $27,665.11

Therefore, Judith will pay approximately $401 in interest in the 40th month. Thus, the correct answer is option A.

To learn more about “interest” refer to the https://brainly.com/question/25720319

#SPJ11