Next a Find the monthly house payments necessary to amortize a 7.2% loan of $171,400 over 20 years. The payment size is $ (Round to the nearest cent.)

the distance is s mil lion

Answer:

million

Step-by-step explanation:

The unit used to measure the vertical height of a letterform from the bottom of the descender to the top of the ascender is the x-height. The correct answer to the question is option c) x-height.

The x-height is the height of the lowercase letters in a font, typically excluding ascenders and descenders. It is a crucial factor in typography because it affects the legibility and overall appearance of the text.

The x-height is measured in points, which is a unit of measurement commonly used in typography and printing. One point is equivalent to 1/72 of an inch, and it is abbreviated as "pt".

Therefore, the correct answer to the question is option c) x-height. Typography plays an essential role in graphic design, advertising, and branding, and understanding the measurement units used in typography is crucial for producing effective designs.

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Answer:

I'm not the best with math either but the order is PEMDAS

Step-by-step explanation:

P: parenthesis

E: exponits

M: mutiplication

D: division

A: addation

S: subtraction

This means you would do the problems in parenthesis () first then go down the list here

To solve this problem, let's first understand the information given

   ⇒ says that 150% of expected people showed up

        ⇒ the number of expected people is 340

            ⇒ means 150% of 340 is the number of people who showed up

                ⇒ written mathematically 150% is equivalent to 150/100.

To find the exact number of people we must time 150/100 to 340

   \(\frac{150}{100}*340=1.5 * 340 = 510\)

That means 510 people showed up

Hope that helped!

Answer:

3rd option

Step-by-step explanation:

substitute x = f(x) into g(x)

g(f(x))

= g(x² + 2)

= 4(x² + 2) - 1

= 4x² + 8 - 1

= 4x² + 7

The number of ways to split the array nums into three non-empty parts is (n-2) × (n-1) ÷ 2.

To split the array nums into three non-empty parts, we can choose the indices of the first two splits. We can choose the first split in (n-2) ways, since we cannot choose the first or last element as the split point.

We can choose the second split in (n-1) ways, since we cannot choose the last element as the split point. However, since the order of the first two splits does not matter, we must divide by 2 to avoid over counting. Therefore, the total number of ways to split the array nums into three non-empty parts is:

(n-2) × (n-1) ÷ 2

if nums = [1, 2, 3, 4, 5], then the number of ways to split nums into three non-empty parts is:

(5-2) × (5-1) ÷ 2 = 3 × 4 / 2 = 6

The possible splits are [1], [2, 3], [4, 5]; [1], [2, 3, 4], [5]; [1, 2], [3, 4], [5]; [1, 2], [3], [4, 5]; [1, 2, 3], [4], [5]; and [1, 2, 3], [4, 5], [ ].

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Answer:

5

Step-by-step explanation:

A cinquain is a five-line poem, with a set number of words in each line The French word "cinq" means five, which is why it is called a cinquain. Here is an example.

Apples,

Rosy, juicy,

Sweet, delicious, crisp,

Better still in pies,

Apples.

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Answer:

11?

Step-by-step explanation:

since 8+3 = 11 won't each student get 11 because they equally share it and in total 11 x 8 = 88 so they have to share 11 blocks of clay.

The equation \(2c \times a \times e^{c^2} = f(a) - f(-a)\)represents the condition where the instantaneous rate of change of f equal the average rate of change of f on that interval.

To begin, let's first establish what average rate of change and instantaneous rate of change mean.

Mathematically, it can be calculated as:

Average Rate of Change = (f(b) - f(a)) / (b - a)

On the other hand, the instantaneous rate of change of a function f(x) at a specific point x = c is defined as the slope of the tangent line at that point. This can be found by taking the derivative of the function and evaluating it at x = c. In mathematical terms, it is represented as:

Instantaneous Rate of Change = f'(c)

Now, let's apply these concepts to the given function \(f(x) = e^{x^2}\) and the interval [-a, a]. To determine the average rate of change over this interval, we need to find the values of f(a) and f(-a) and calculate the difference divided by 2a:

Average Rate of Change = (f(a) - f(-a)) / (2a)

To find the instantaneous rate of change, we need to take the derivative of f(x) and evaluate it at x = c:

\(f'(x) = 2x \times e^{x^2}\)

Instantaneous Rate of Change = \(f'(c) = 2c \times e^{c^2}\)

Now, we want to find the points within the interval [-a, a] where the instantaneous rate of change is equal to the average rate of change. Therefore, we can set up the following equation:

\(f'(c) = 2c \times e^{c^2}\) = (f(a) - f(-a)) / (2a)

Simplifying this equation, we can multiply both sides by 2a to eliminate the denominator:

\(f'(c) = 2c \times e^{c^2}\)  = f(a) - f(-a)

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Complete Question:

How many points in the interval [-a, a] does the instantaneous rate of change of f equal the average rate of change of f if \(f(x)=e^{x^2}\)?

Answer:

70°

Step-by-step explanation:

Measure of the minor arc NM is 70° because measure of its corresponding central angle is 70°

The maximum interval of existence is [-4, ∞) since the function (t^2 - 4)^(1/2) is defined for t ≥ -2.

(a) To solve the IVP u't = cos(t), u(0) = 1, we can integrate both sides with respect to t:

∫ u'dt = ∫ cos(t) dt

Integrating, we get:

u = ∫ cos(t) dt = sin(t) + C

Using the initial condition u(0) = 1, we can find the value of the constant C:

1 = sin(0) + C

1 = 0 + C

C = 1

So the solution to the IVP is u = sin(t) + 1.

The maximum interval of existence is (-∞, ∞) since the function sin(t) is defined for all real values of t.

(b) To solve the IVP y' = t(t^2-4)^(1/2), y(-4) = 0, we can separate variables and integrate:

∫ y' / (t(t^2-4)^(1/2)) dt = ∫ dt

Making a substitution u = t^2 - 4, du = 2t dt, we can rewrite the integral as:

∫ y' / (2u^(1/2)) du = ∫ dt

∫ y' / (2u^(1/2)) du = t + C

Integrating, we get:

y = u^(1/2) + C

Using the initial condition y(-4) = 0, we can find the value of the constant C:

0 = (-4^2 - 4)^(1/2) + C

0 = 0 + C

C = 0

So the solution to the IVP is y = (t^2 - 4)^(1/2).

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Yes, both the sample means will have a normal distribution.

The probability that the sample mean falls between 69 and 72 for n = 42 is approximately 0.496.

According to the Central Limit Theorem, the sampling distribution of the sample mean will be approximately normally distributed if the sample size is sufficiently large (usually n ≥ 30). In this case, both sample sizes (n = 17 and n = 42) are large enough for the sampling distribution to be considered approximately normal.

b. To calculate the probability that the sample mean falls between 69 and 72 for n = 42, we'll use the z-score formula:

z = (X - μ) / (σ / √n)

First, find the z-scores for the sample mean of 69 and 72.

z1 = (69 - 69) / (5.8 / √42) = 0
z2 = (72 - 69) / (5.8 / √42) ≈ 2.65

Now, look up the z-scores in the z-table and find the probabilities.

P(z1) = P(z = 0) = 0.5
P(z2) = P(z ≈ 2.65) ≈ 0.996

Finally, subtract P(z1) from P(z2) to find the probability that the sample mean falls between 69 and 72.

Probability = P(z2) - P(z1) = 0.996 - 0.5 = 0.496

So, the probability that the sample mean falls between 69 and 72 for n = 42 is approximately 0.496.

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Answer:

1/2

Step-by-step explanation:

we know that 1/4 of them failed, meaning that 3/4 of them passed.

1/3 of 3/4 is 1/4, meaning that 1/4 of the class got an A.

If 1/4 failed, and 1/4 passed with an A, that leaves 2/4 of the class that passed but didnt get an A, which simplifies to 1/2.

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Answer:

13.8

Step-by-step explanation:

15/0.92=13.8

Answer:

c i think

Step-by-step explanation:

Answer:

y = mx + b

Step-by-step explanation:

so you first put the points on the graph and connect them with a slanted line.

Next, for your equation start of with y =

then, your going to find your slope, after you find it put it in front of x (slope x) (Ex; if the slope was 3 then it would look like this 3x)

finally you write + and the y intercept (at which point the line goes through the y axis)

the equation together should look like y = slope x + y intercept

The correct answer is: Weather satellites.

The weather observation method that gives us over 99% of all the weather data that goes into forecast models today is weather satellites. Weather satellites play a crucial role in providing valuable information about the Earth's atmosphere.

Here is a step-by-step explanation:

1. Weather satellites are placed in geostationary or polar orbits around the Earth.
2. These satellites have various sensors that measure different weather variables such as temperature, humidity, cloud cover, and atmospheric pressure.
3. The data collected by the weather satellites is transmitted back to Earth in real-time.
4. Meteorologists and scientists analyze this data to gain insights into current weather conditions and make accurate forecasts.
5. Weather satellites provide a global perspective, allowing us to monitor weather patterns and phenomena on a large scale.
6. The data from weather satellites is crucial in feeding forecast models, which use complex algorithms to predict weather conditions in the future.

In summary, weather satellites provide a vast amount of weather data that is essential for forecasting.

Their ability to capture global weather patterns makes them a key tool in understanding and predicting weather conditions.

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Answer: Answer is 0.52

Step-by-step explanation:

So we have the fraction 13 Out of 25.

step 1: here we divide numerator(which is 13) by denominator(which is 25).

step 2: first we make denominator 100 by multiplying by 25 with 4 and also 13 with 4.

ie. \(\frac{13 * 4}{25 * 4}\)

step 3: we get \(\frac{52}{100}\)

step 4: now we can easily write the decimal fraction. ie. 0.52

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Answer:

60

Step-by-step explanation:

The area of the state in square miles is 72 x 5 = 360 square miles.

The formula to calculate the area of a rectangle is A = l x w, where 'A' is the area, and 'l' and 'w' are the length and width respectively.

Therefore, the area of the state that is represented on a map by a rectangle 10 inches by 7.2 inches, is calculated by substituting the length and width into the equation, as follows: A = 10 x 7.2 = 72 inches.

Since 1 inch represents 5 miles, the area of the state in square miles is calculated by multiplying the area (in inches) by the conversion factor (5 miles per inch). Therefore, the area of the state in square miles is 72 x 5 = 360 square miles.

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The fraction of the students in Siena's class are girls with brown eyes is 5/12.

Let the fraction of students in Siena's class with brown eyes be a=5/8.

And the fraction of students in Siena's class with brown eyes are girls be b=2/3.

Then, the fraction of students in Siena's class are girls with brown eyes be z=a×b

Therefore, by substituting the fraction values, we get

z=(5/8)×(2/3)

z=5/12.

Hence, 5/8 of the students in Siena's class have brown eyes. 2/3 of the students with brown eyes are girl. Then, the fraction of students in Siena's class are girls with brown eyes is 5/12.

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After solving the given equations we know that the value of x and y are -4 and -7 respectively.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

Ax+By=C is the usual form for two-variable linear equations.

A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).

This form is also highly useful when solving systems involving two linear equations.

So, we have the equations:

y=2x+1 ...(1)

-4x+y=9 ...(2)

Now, substitute y=2x+1 in equation (2):

-4x+y=9

-4x+2x+1=9

-2x=8

x=-4

Now, insert x=-4 in equation (1):

y=2x+1

y=2(-4)+1

y=-8+1

y=-7

Therefore, after solving the given equations we know that the value of x and y are -4 and -7 respectively.

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In space, there can be infinitely many planes that are perpendicular to a given line at a given point on that line.

The correct answer is Option D.

The key concept here is that a plane is defined by having at least three non-collinear points.

When a line is given, we can choose any two points on that line, and then construct a plane that contains both the line and those two points. By doing so, we ensure that the plane is perpendicular to the given line at the chosen point.

Since we can select an infinite number of points on the given line, we can construct an infinite number of planes that are perpendicular to the line at various points.

Thus, the correct answer is D. infinitely many planes can be perpendicular to a given line at a given point in space.

The correct answer is Option D.

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The area of the trapezoid is 24cm².

It should be noted that the area of a trapezoid is calculated as:

Area = h × (a + b//2

where h = height

Area = 4 × (4 + 8)/2

Area = 4 × 12/2

Area = 4 × 6

Area = 24cm²

The area is 24cm²

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Two samples can have the same mean but different standard deviations if one sample has more variability than the other. For example, one sample may have data points that are tightly clustered around the mean, while the other sample may have data points that are more spread out.

This can result in the same mean value for both samples, but different levels of variability.

Here's an example bar graph to illustrate this concept:

     Sample 1                Sample 2

 ╭────────────────╮   ╭────────────────╮

 │      Mean      │   │      Mean      │

 ├────────────────┤   ├────────────────┤

 │                │   │    ╭─╮         │

 │                │   │    │ │         │

 │                │   │    │ │         │

 │                │   │    ╰─╯         │

 │     o o o      │   │  o o o o o o  │

 │                │   │                │

 │                │   │                │

 │                │   │                │

 ╰────────────────╯   ╰────────────────╯

     Std. Dev.            Std. Dev.

In this example, both Sample 1 and Sample 2 have a mean value of 5. However, Sample 1 has lower variability with a standard deviation of 1, while Sample 2 has higher variability with a standard deviation of 3. The error bars on the graph represent the standard deviation for each sample.

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To calculate the adjusted correlation between smoking and stress, taking into account both of their relationships with heart rate, we can use the partial correlation coefficient formula.

The formula for the partial correlation coefficient between two variables, X and Y, controlling for a third variable, Z, is given by:

r_xy.z = (r_xy - r_xz * r_yz) / sqrt((1 - r_xz^2) * (1 - r_yz^2))

where:

- r_xy.z is the adjusted correlation between X and Y, controlling for Z

- r_xy is the correlation coefficient between X and Y

- r_xz is the correlation coefficient between X and Z

- r_yz is the correlation coefficient between Y and Z

Using the given correlation partial correlation coefficient formula here:

r_xy = 0.65

r_xz = 0.75

r_yz = 0.85

Substituting these values into the formula:

r_xy.z = (0.65 - 0.75 * 0.85) / sqrt((1 - 0.75^2) * (1 - 0.85^2))

Simplifying the equation:

r_xy.z = (0.65 - 0.6375) / sqrt(0.4375 * 0.2775)

r_xy.z = 0.0125 / sqrt(0.12140625)

r_xy.z ≈ 0.0125 / 0.3485

r_xy.z ≈ 0.0359

Therefore, the adjusted correlation between smoking and stress, taking into account both of their relationships with heart rate, is approximately 0.0359.

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Answer:

MINIMUM LENGTH= 28.35 centimeters

MAXIMUM LENGTH= 28.65 centimeter

Step-by-step explanation:      

The inequality provides that the length of the machine part must not depart from 28.5 by more than 0.15

\(L-28.5<0.15\)

So, to calculate the minimum and maximum length,

Minimum length = 28.5- 0.15= 28.35 centimeters

Maximum length = 28.5+0.15=28.65 centimeters

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