evaluate the equation 3+ f =14 2/7
A) f= 10 5/7
B) f= 11 2/7
C) f= 11 3/7
D) f= 17 2/7

As per the given mortgage, the remaining balance be after the first 5 years is $678125

Here Kathy and Jake are purchasing a house and are financing $465,000. The mortgage is a 20-years 5/1 ARM at 3. 5% with a 2/7 cap structure.

As we know that the formula for the calculation is written as

=> (Mortgage X Rate)/ 12 months

And then we have to subtract the Monthly PI payment from monthly interest on payment.

When we apply the value on it, then we get,

($465,000 x 3.5)/12

= $135625

Then the amount after 5 years is calculated as,

⇒ $135625 x 5

= $678125

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Answer:

36 feet

Step-by-step explanation:

To find the area of a square or rectangle you multiply the width by the length.

Answer:

3

Step-by-step explanation:

55% of 20 is 11 so she originally got 11 shots in. 56% of 20 + 5 = 25 is 14 so after the 5 extra shots she got 14 in. The answer is 14 - 11 = 3.

Answer:

hungry as can be sorry needed the points

Using the exponential growth formulas, we get the population at 10 years would be 2593.

What is exponential growth?

A process called exponential growth sees a rise in quantity over time. It happens when the derivative of a quantity's instantaneous rate of change with respect to time is equal to the original quantity.

Given Initial population is Pt= 1725.

The doubling time of the population is D=17

Now we need to find the population at time t=10

Using the formula,

\(P_{t}=P_{0} (2)^{\frac{t}{D} } \\P_{t}=1725 (2)^{\frac{10}{17} } \\P_{t}=1725 (2)^{0.588}\\P_{t}=1725 \space\ . \space\ 1.503\\P_{t}=2593\)

Hence the population of the island in 10  years would be 2593.

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Answer:

Step-by-step explanation:

equation for inverse variation, meaning x is inversely related to y.

\(y=\frac{k}{x}\)

Where

> k is your constant

>x is your independent variable because you always pick x,'s

>y is your dependent because you pick x and results in a y, therefore it is dependent on x

Evaluating answers:

>not A, nothing is being squared in the equation so not this answer

>Yes B (I think), because k= xy if you bring it over to the other side.

>Yes C (I think),  It is a ratio(fraction) of x

>not D, I don't think it can be ratio of both variables

If line q passes through points (1,5) and (8, 2). line r is perpendicular to q, Then the slope of line r is 7/3.

The slope of a line is a measure of how steep the line is, or how much the line rises or falls as we move horizontally along it. It is defined as the ratio of the change in the vertical (y) coordinate to the change in the horizontal (x) coordinate between any two points on the line. In other words, it is the "rise" divided by the "run".

The formula for finding the slope between two points (x1, y1) and (x2, y2) on a line is:

slope = (y2 - y1) / (x2 - x1)

The slope can be positive, negative, zero or undefined. A positive slope means the line rises as we move from left to right, a negative slope means the line falls as we move from left to right, a slope of zero means the line is horizontal and a slope that is undefined means the line is vertical.

The slope of the line q passing through the points (1,5) and (8,2) can be found using the slope formula:

the slope of q = (change in y) / (change in x)

= (2 - 5) / (8 - 1)

= -3/7

Since line r is perpendicular to line q, the slope of line r will be the negative reciprocal of the slope of line q. That is:

the slope of r = -1 / slope of q

= -1 / (-3/7)

= 7/3

Therefore, the slope of line r is 7/3.

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Answer:

  (d)  All of these statements are true.

Step-by-step explanation:

You want to know which statements relating multiplication and division are true.

The multiplicative inverse of (non-zero) 'a' is 1/a. The product of these is 1 (by definition).

1 is the multiplicative identity element, so 1·a = a.

Starting with a·b = c, we can multiply both sides of the equation by 1/a without altering its truthfulness.

  (1/a)(a)(b) = (1/a)(c)

  (a/a)(b) = c/a . . . . . . . for a ≠ 0

  b = c/a

Using the other factor, we have ...

  a = c/b . . . . . . . from (1/b)(a)(b) = (1/b)(c)

We can always substitute equals for each other. Then for c=m, a=n, b=p, the first of these equations is ...

  p = m/n

  m/n = p . . . . symmetric property of equality

Effectively, all of the multiplication and division relations shown are true:

__

Additional comment

In the first two cases, we included the caveat that the divisor could not be zero. This is also true of the last case (m/n=p). However, in this case, we assume that p is defined, which automatically means that n ≠ 0.

<95141404393>

All of the statements provided are true. If two numbers, a and b, have a product of c, then dividing c by a will yield the value of b, as long as a is not equal to zero. All options are true.

In the first statement, if a * b = c and a is not equal to zero, then dividing both sides of the equation by a gives us (a * b) / a = c / a. The term (a * b) / a simplifies to b, so we have b = c / a, which confirms the truth of the statement.

Similarly, in the second statement, if a * b = c and b is not equal to zero, dividing both sides of the equation by b results in (a * b) / b = c / b. The term (a * b) / b simplifies to a, so we have a = c / b, validating the statement.

Finally, in the third statement, if m / n = p, multiplying both sides of the equation by n gives us (m / n) * n = p * n. The term (m / n) * n simplifies to m, so we have m = p * n, confirming the truth of the statement.

In summary, all of the given statements hold true, as they follow logical mathematical operations and principles.

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Answer:

i would say a rhombus because i drew it on a coordinate plae and thats wut it looked like

Step-by-step explanation:

Answer: b because if she is building a fence it will be a rectangle type of shape

Step-by-step explanation: (-16,1),(-6,5),(4,1), and (-6,3)

n - 2.5 represent the Cost Price after a discount of 2.50

Given parameters,

Modeling of the total cost = 35 + 3(n - 2.5)

The general format of models like this is as follows;

Price + quantity (cost after coupon)

Coupon literally is a code that are used to obtain a discount on the current purchase

By comparison;

Price = 35 (i.e. current dress price).

Quantity = n (i.e. the number of shirts bought)

Lastly, cost after coupon = n - 2.5

It is stated that she applies a coupon on each T shirt

This can be interpreted to: removing a total discount of $2.50 from the three t-shirt.

By removing, the expression is given as negative $2.5

Hence,

n - 2.5 represent the total cost on each T shirt after coupon is applied

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1st 2nd and last

Step-by-step explanation:

simplify your inequality

6x >= 3 + 4(2x -1)

6x >= 3 + 8x - 4

2x >= 1

x >= 1/2

so indeed the

1st one , the 2nd and the last one

first, second, last

Hope it helps

Vibrant Flavors has more ways by 28,907,631 ways.

The problem asks us to find the number of ways to choose 7 brownies out of 30 kinds at Rustic Tastes and the number of ways to choose 7 brownies out of 40 kinds at Vibrant Flavors.

The number of ways to choose 7 brownies out of 30 kinds at Rustic Tastes can be calculated using the formula for combinations, which is:

C(30, 7) = 30! / (7! * (30-7)!) = 5,461,512

This means that there are 5,461,512 ways to choose a box of 7 brownies from Rustic Tastes.

Similarly, the number of ways to choose 7 brownies out of 40 kinds at Vibrant Flavors is:

C(40, 7) = 40! / (7! * (40-7)!) = 34,369,143

This means that there are 34,369,143 ways to choose a box of 7 brownies from Vibrant Flavors.

Therefore, Vibrant Flavors has more ways to get a box of 7 brownies by:

34,369,143 - 5,461,512 = 28,907,631 ways.

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Based on the information given, it should be noted that the number of feet will be 2250 feet.

From the given information, Garrett is on his school's swim team and during his 2-week winter break, he swims 30 laps each week to stay in shape and it was stated that each lap is 25 yards.

Therefore, the number of yards will be:

= 25 × 30

= 750 yards.

This will be converted into feet and this will be:

1 yard = 3 foot

750 yards will be:

= 750 × 3 = 2250 foot.

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To find the approximate mean of a frequency distribution, you need to calculate the weighted average of the values using the frequencies as weights. Here's how you can calculate it:

Step 1: Multiply each gas mileage value by its corresponding frequency.

```

29 × 25 = 725

30 × 3 = 90

34 × 34 = 1156

35 × 39 = 1365

39 × 40 = 1560

40 × 44 = 1760

44 × 1 = 44

```

Step 2: Sum up the products obtained in Step 1.

```

725 + 90 + 1156 + 1365 + 1560 + 1760 + 44 = 7600

```

Step 3: Sum up the frequencies.

```

25 + 3 + 34 + 39 + 40 + 44 + 1 = 186

```

Step 4: Divide the sum obtained in Step 2 by the sum obtained in Step 3 to get the weighted mean.

```

7600 / 186 = 40.86 (rounded to two decimal places)

```

Therefore, the approximate mean of the frequency distribution is 40.9 miles per gallon (rounded to one decimal place).

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1. The day of the week 100 days from today can be determined by calculating the remainder when dividing 100 by 7 and adding it to the current day of the week.

The day of the week 100 days from today, assuming today is Tuesday, will be Sunday.

There are 7 days in a week, so after every 7 days, the day of the week repeats. Therefore, to find the day of the week 100 days from today, we need to calculate the remainder when dividing 100 by 7.

100 ÷ 7 = 14 remainder 2

Adding this remainder to the current day (Tuesday) gives us:

Tuesday + 2 = Thursday

So, 100 days from today will be Thursday. However, if we want to find the day of the week, we need to consider that Tuesday is the second day of the week (with Sunday being the first day). Adding the remainder 2 to Tuesday:

Tuesday + 2 = Thursday

Therefore, the day of the week 100 days from today will be Sunday.

The day of the week 100 days from today, assuming today is Tuesday, will be Sunday.

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The slope of the line perpendicular to the given line is equal to -4/1.

The equation is in the form y=mx+b

so, y=(1/4)x -10

First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4

To find the slope perpendicular to the line you must find the negative reciprocal of 1/4. (Which just means change the sign then flip the fraction)

Multiplying 1/4 by -1 which is -1/4

Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1

Thus, the slope of the line perpendicular to the given line is equal to -4/1.

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The equation is in the form y=mx+b

so, y=(1/4)x -10

First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4

Multiplying 1/4 by -1 which is -1/4

Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1

The standard form of the given numbers is 207360 × 10¹⁷.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given the numbers is  (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001)

Now standard form means we need to write the exponents form.

So,

5 x 6 x 4 x 8 x 3 x 2 x 4 x 9 = 207360

And

1,000,000 x  100000 x 10000 x 1000 x 100 x 10 x 0.1 x 0.001 = 10¹⁷

So, combine 207360 x  10¹⁷

Hence "The standard form of the given numbers is 207360 × 10¹⁷".

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The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Answer:

w = 10

l = 50

Step-by-step explanation:

Formula of Perimeter: w + w + l + l or 2w + 2l

l = 5w

2l + 2w = 120

2(5w) + 2w = 120

10w + 2w = 120

12w = 120

w = 10

l = 5(10)

l = 50

Check:

2l + 2w = 120

2(50) + 2(10) = 120

100 + 20 = 120

120 = 120

Hope This Helps!

Lets denote our variables as:

The formula for the perimeter of a rectangle is P = 2L + 2W, where L is the length of the rectangle and W is the width of the rectangle. We know that the perimeter of the rectangle is 120m, so we can write:

2(x) + 2(5x) = 120

2x + 10x = 120

12x = 120

 x = 120/12

 x = 10 m → Width of the rectangle

Substituting in the length:

5x = 5(10) = 50 m → Length of the rectangle

The particular solution is: Xp(t) = (t/4 - 19/16; -t/2 + 7/8). The correct option is b.

The given system of linear differential equations can be written as:

X'(t) = AX + B(t),

where X'(t) is the derivative of X(t), A is the matrix (2 3; 2 1), and B(t) is the column vector (t; 1). To find the particular solution, we can apply the method of undetermined coefficients. We assume a particular solution of the form Xp(t) = (at + b; ct + d), where a, b, c, and d are constants to be determined.

Taking the derivative of Xp(t), we get Xp'(t) = (a; c). Now, we substitute Xp(t) and Xp'(t) into the given equation:

(a; c) = (2 3; 2 1) (at + b; ct + d) + (t; 1).

Multiplying the matrix and vector, we get:

(a; c) = (2(at + b) + 3(ct + d); 2(at + b) + 1(ct + d)) + (t; 1).

Equating the components, we get the following system of linear equations:

a = 2a + 2b + 3c + 3d + 1,
c = 2a + 2b + c + d + 0.

Solving this system, we find a = t/4 - 19/16, b = -t/2 + 7/8. Therefore, the particular solution Xp(t) is:

Xp(t) = (t/4 - 19/16; -t/2 + 7/8),

which corresponds to option b.

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The centripetal force is the force that acts on an object moving in a circular path, directing it towards the center of the circle. option a.

When a car is driving around a curve, the centripetal force is provided by the frictional force between the tires and the road. This force acts inwards, towards the center of the circle, and is responsible for keeping the car moving in a circular path.

The centripetal force is always perpendicular to the direction of motion, so option (b) and (d) can be eliminated.

Additionally, there is no force that acts away from the center of the circle, so option (c) can also be eliminated. Option (e) is not applicable since the question is asking about the direction of the force, not its orientation.

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Answer:

n+1=4(n-8)

n+1=4xn/4 x-8

n+1=4n-32

1+32=4n-n

33=3n

33/3=3n/3

11=n

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the line parallel to the equation above we must first find the slope of the above equation

y = - 74x - 2

Comparing with the above formula

Slope = - 74

Since the lines are parallel their slope are also the same

Slope of parallel line = - 74

Equation of the line using point (4 , -2) and slope - 74 is

y + 2 = 74( x - 4)

y + 2 = 74x - 296

y = 74x - 296 - 2

We have the final answer as

Hope this helps you

Answer:

y= -7/4x+5

Step-by-step explanation:

I got it correct on founders edtell

The GCD of 2⁸ * 3⁹ * 5⁹ and 2⁴ * 3⁴ * 5⁴ is 810,000.

To find the GCD of 2⁸ * 3⁹ * 5⁹ and 2⁴ * 3⁴ * 5⁴, we will examine the prime factors of both numbers individually and compare their powers.

Prime factorization of the first number, 2⁸ * 3⁹ * 5⁹:

2⁸ = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 = 256

3⁹ = 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 = 19683

5⁹ = 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 = 1953125

Prime factorization of the second number, 2⁴ * 3⁴ * 5⁴:

2⁴ = 2 * 2 * 2 * 2 = 16

3⁴ = 3 * 3 * 3 * 3 = 81

5⁴ = 5 * 5 * 5 * 5 = 625

Now, let's compare the powers of the common prime factors in both numbers:

The common prime factor 2 appears with a higher power in the first number (2⁸) than in the second number (2⁴). Therefore, the highest power of 2 that divides both numbers is 2⁴ = 16.

The common prime factor 3 appears with a higher power in the first number (3⁹) than in the second number (3⁴). Therefore, the highest power of 3 that divides both numbers is 3⁴ = 81.

The common prime factor 5 appears with a higher power in the first number (5⁹) than in the second number (5⁴). Therefore, the highest power of 5 that divides both numbers is 5⁴ = 625.

To find the GCD, we multiply the common prime factors with the lowest powers:

GCD = 2⁴ * 3⁴ * 5⁴ = 16 * 81 * 625 = 810,000.

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The 3 represent the degree of the freedom in the given equation.

According to the statement

we have to find that the in the given statement the digit is 3 is represented the term and we have to find that term.

So, For this purpose, we know that the

The given statement is:

X^2(3) = 8.4, p < .05,

From this it is clear that the

Degrees of freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample.

This represent the independent values in the given statement also.

So, The 3 represent the degree of the freedom in the given equation.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

In the result X^2(3) = 8.4, p < .05, what is 3 represent from the given questions?

a. the observed value

b. the critical value

c. the significant level

d. degrees of freedom

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When testing the difference between two dependent population means, the test statistic is based on a standard deviations of the differences.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

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Answer:

x ≤ 12? x ≥ -2 x ≤ -2 x ≥ -72 x ≤ -72 - did not match any documents

Answer:

28

Step-by-step explanation:

\(80 \times \frac{35}{100 } \\ = 28\)

Answer:

28

Step-by-step explanation:

From the given pie chart:

If a total of 80 people were surveyed, to find the number of people in the sample that chose blue, simply find 35% of 80:

\(\begin{aligned}\implies \sf 35\%\;of\;80 & = \sf \dfrac{35}{100} \times 80\\\\&= \sf \dfrac{35 \times 80}{100} \\\\&= \sf \dfrac{2800}{100} \\\\&=\sf 28\end{aligned}\)

Therefore, 28 people from a total of 80 surveyed chose blue as their favorite color.

With Alpha set to .05, increasing the sample size would not directly reduce the probability of a Type I error. The probability of a Type I error is determined by the significance level (Alpha) and remains constant regardless of the sample size.

However, increasing the sample size can indirectly affect the probability of a Type I error by increasing the statistical power of the test. With a larger sample size, it becomes easier to detect a statistically significant difference between groups, reducing the likelihood of falsely rejecting the null hypothesis (Type I error).

Increasing the sample size generally decreases the probability of a Type II error, which is failing to reject a false null hypothesis. With a larger sample size, the test becomes more sensitive and has a higher likelihood of detecting a true effect if one exists, reducing the likelihood of a Type II error. However, it's important to note that other factors such as the effect size, variability, and statistical power also play a role in determining the probability of a Type II error.

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Answer: a

Step-by-step explanation:

Tell me if it is correct

Answer:Second Step

Step-by-step explanation:

On the right side in step two you added -3b-15b, and ended up with -12b. This is incorrect. -3b-15b is actually -18b