Determine the missing side measures

Answer:

537,535

Step-by-step explanation:

To solve this, we can first insert the 5 hundred thousands.

5 _ _, _ _ _

To solve for 2 fewer ten thousands than hundred thousands, we can use this equation:

Inserting 3 into the equation:

5 3 _, _ _ _

To solve for 2 more thousands than hundred thousands, we can use this equation:

Inserting 7 into the equation:

5 3 7, _ _ _

To solve for 2 more hundreds than ten thousands, we can use this equation:

Inserting 5 into the equation:

5 3 7, 5 _ _

To solve for 2 fewer tens than hundred thousands, we can use this equation:

Inserting 3 into the equation:

5 3 7, 5 3 _

To solve for the final one, the same number of ones as hundreds, we can just insert 5 into the equation.

5 3 7, 5 3 5

Therefore, the number is 537,535.

Answer:

KC to StL = 300

KC to Den = 600

Step-by-step explanation:

KC to StL was the base distance, so we'll call that x.

KC to Denver is twice as long, so we'll call that 2x.

If we add the together is is 900 miles total.

x + 2x = 900    Combine like terms

3x = 900          Divide by 3

x = 300

If x is 300, then 2x is 600.

The value of f(5) is 1981.

The operation on one or more previous elements according to a rule or formula comprising a finite number of steps to determine a succession of elements (such as numbers or functions).

The process of defining a problem (or the solution to a problem) oneself is referred to as recursion. For example, the operation "find your way home" can be defined as: If you are at home, stop moving. Take one step closer to home.

It seems there is a typo in the second equation provided. Assuming that it is meant to be f(n) = -5f(n-1) - 1, we can use recursion to find the value of f(5).

Starting with f(1) = 3, we can use the recursive formula to find f(2), then use the formula again to find f(3), and so on until we find f(5).

f(1) = 3

f(2) = -5f(1) - 1 = -5(3) - 1 = -16

f(3) = -5f(2) - 1 = -5(-16) - 1 = 79

f(4) = -5f(3) - 1 = -5(79) - 1 = -396

f(5) = -5f(4) - 1 = -5(-396) - 1 = 1981

Therefore, the value of f(5) is 1981.

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Answer:

Step-by-step explanation:

All the numbers you can create with 1  9  4   6    7 are all divisible by 3, so just create the largest one.

9 7 6 4 1  is the largest number from this set of 5 that can be evenly divided by 3

The absolute value function has its vertex at (-1,-1)

Functions, tables, equations, relations and ordered pairs can be represented on graphs, and vice versa

The equation of the absolute value function is given as:

\(f(x) = 2|x + 1|-1\)

See attachment for the graph of the absolute value function

From the attached graph, we can see that the absolute value function has its vertex at (-1,-1)

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Answer:

32

Step-by-step explanation:

Solve the RHS first:

8(12) = 96

64 + ? = 96

64 + 32 =96

Answer: D

Step-by-step explanation:

1 in.=1488 milesx5=7440 miles.

Area= pi x r^2

=pi x (7440)^2 or option D.

Hope this helps :)

Angles and lines come in many distinct varieties in geometry.

Geometry has several different kinds of lines and angles. The six different types of angles include reflex angle, complete angle, straight angle, acute angle, and obtuse angle. The various sorts of lines are transverse, parallel, perpendicular, vertical, horizontal, and vertical lines.

There are three ways to name an angle: by the vertex, by the angle's three points (the middle point must be the vertex), or by a letter or number put inside the angle's aperture.

You can create your address block for letters, envelopes, and other mail merges using Label Lines, a collection of fields. Use Label Lines rather of Acknowledgement, Company, and Address lines to skip blank lines in your labels and address blocks.

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Answer:

13

Step-by-step explanation:

because...math

Answer:

f(3) = 3 + 1 = 4

Step-by-step explanation:

Since 3 > 0, we need to focus on the part of the function where x > 0. So:

f(3) = 3 + 1 = 4.

Answer:

14

Step-by-step explanation:

its going down by 11

To be able to determine the bags of fertilizer that the gardener will need, let's first determine the area of the garden.

Since the shape of the garden is a trapezoid, we will be using the following formula:

We get,

Let's determine how many bags of fertilizer will be used.

We get,

Therefore, the gardener will be needing 22 Bags of Fertilizer.

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Number of students enjoy playing video games is, 44

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

There are 110 sixth-grade students in a Florida middle school.

And,  40% of the students enjoy playing video games on the weekends.

Now, We get;

Number of students enjoy playing video games is,

⇒ 40% of 110

⇒ 40/100 × 110

⇒ 44

Thus, Number of students enjoy playing video games is, 44

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Answer:

g(x) = -2^(x-3) - 5

Step-by-step explanation:

f(x) = 2^x

3 units to the right:

2^x ----> 2^(x-3)

Moved 5 units up:

2^(x-3) ----> 2^(x-3) + 5

Reflected across the x-axis:

2^(x-3) + 5  -----> -2^(x-3) - 5

Step-by-step explanation:

\( - 6a + a = 5 \\ a + a = \frac{ - 5}{6} \\ 2a = \frac{ - 5}{6} \\ a = \frac{ - 5}{6} \div 2 \\ a = - \frac{5}{12} \)

Answer:

The answer is A

Step-by-step explanation:

Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

The interest rate is given as follows:

5%.

The balance of an account after t years, using simple interest, that is, a single compounding per year, is given by the equation presented as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are explained as follows:

The interest accrued is given as follows:

I(t) = Prt.

For each case, the interest accrued is given as follows:

The total interest was of 13,500, hence:

I(3) + I(5) = 13500.

Meaning that the interest rate is obtained as follows:

120,000r + 150,000r = 13500

r = 13500/270000

r = 0.05.

r = 5%.

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Answer:

9.42

Step-by-step explanation:

Hey There!

The first step of this problem is to find the formula for arc length

\(arc-length=2\pi r(\frac{0}{360} )\)

r=raduis

0 = angle

now we just plug in the values

\(arc-length=2\pi 10\frac{54}{360} \\2\pi =6.283185307\\6.283185307x10=62.83185307\\62.83185307\frac{54}{360}=9.424777961\)

so the arc length equals 9.424777961

the last step is to round to the nearest hundreth

so your final answer is 9.42

The probability that:

First, check if it is appropriate to use the normal approximation to the binomial distribution. The rule of thumb is that this approximation is reasonable if both np and n(1-p) are greater than 5. In this case, p = 0.83 (probability of failure), n = 70 (number of trials).

So,

np = 700.83 = 58.1,

n(1-p) = 700.17 = 11.9.

Both quantities are larger than 5, so use the normal approximation.

Convert this to a problem involving a normal distribution. The mean of this distribution is np = 58.1 and the standard deviation is √(np(1-p)) = √(700.830.17) = 6.35.

(a) within 2 years 47 or more fall:

This corresponds to a Z-score of (47.5 - 58.1) / 6.35 = -1.67. The probability that a standard normal variable is greater than -1.67 is 0.9525.

So the probability that 47 or more products fail is approximately 0.9525.

(b) within 2 years 58 or fewer fail:

This corresponds to a Z-score of (58.5 - 58.1) / 6.35 = 0.063. The probability that a standard normal variable is less than 0.063 is 0.5250.

So the probability that 58 or fewer products fail is approximately 0.5250.

(c) within 2 years 15 or more succeed:

Since the probability of success is 1-p, this is equivalent to fewer than (70 - 15 = 55) failing. This corresponds to a Z-score of (54.5 - 58.1) / 6.35 = -0.567.

The probability that a standard normal variable is greater than -0.567 is 0.7151.

So the probability that 15 or more products succeed is approximately 0.7151.

(d) within 2 years fewer than 10 succeed:

This is equivalent to more than (70 - 10 = 60) failing. This corresponds to a Z-score of (60.5 - 58.1) / 6.35 = 0.377.

The probability that a standard normal variable is less than 0.377 is 0.6478.

However, since we want more than 60 failing, the probability that the variable is greater than 0.377, which is 1 - 0.6478 = 0.3522.

So the probability that fewer than 10 products succeed is approximately 0.3522.

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Answer:

Step-by-step explanation:

Describe a functiDescribe a function that takes an input, adds 2, and then multiplies by 4on that takes aDescribe a function that takes an input, adds 2, and then multiplies by 4n inpDescribe a function that takes an input, adds 2, and then multiplies by 4ut, adds 2, and then multiplies by 4

The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.

To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.

Given:

Radius rate of change: dr/dt = 3 mm/min

Height: h = 20 mm

Radius: r = 10 mm

Volume of the cylinder (V) = \(r^2h\)

Differentiating with respect to time (t), we have:

dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)

Since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dV/dt = 2(10)(20)(3) + (10^2)(0)

dV/dt = 600 + 0

dV/dt = 600 mm^3/min

Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.

Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)

Differentiating with respect to time (t), we have:

dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)

Again, since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)

dSA/dt = 0 + 120π + 120π

dSA/dt = 240π mm^2/min

Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.

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The linear regression equation for a linear trend and seasonality is

Response Revenues =  97.651

Decimal=The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as decimal notation.

The linear regression equation for a linear trend and seasonality is

Response Revenues = 22.67+2.538 Time period -10.44 * Q(1)

he variable time period is coded in the following way: Start with t = 1 for Quarter 3 of 2013, t = 2 for Quarter 4 of 2013, The value of t will increase by 1 for each subsequent quarter. In this example we have created indicator variables for Quarters 1, 2 and 3. Quarter 4 is the  base level

he Updated forecast for the Amazon Sales for Quarter 3 of 2021 accounting for Trend, Seasonality and Adjusted for the Serial Correlation using the AR(1) model is given by

Response Revenues = 22.67+2.538 Time period - 10.44 Q(1)

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After considering all the given data we conclude that the area of the given figure is 80, under the condition that the given figure is a rhombus.

Let us name the rhombus as ABCD, now looking at the figure we can detect that there are two diagonals crossing each other making a point  E, this allows the  two  diagonals to split in four smaller lines that are congruent in value
Then
Line AE = 5ft and Line ED = 5ft (because of congruency)
Line CE = 8ft and Line EB = 8ft(because of congruency)
Therefore,
Now we know that the diagonals
AD = 10ft
CB = 18 ft
The area of a rhombus can be evaluated applying the formula
Area = (d1 × d2) / 2,
Here,
d1 and d2 = lengths of the diagonals.
For this case, the diagonals are 10 ft and 16 ft.
Then, the area of the rhombus is
(10 × 16) / 2
= 80
Then, the area of the given figure is 80.
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The probability of observing such an extreme result by chance alone is 0.0124.

To find the P-value for a two-tailed test of hypothesis, we need to first determine the significance level (alpha) of the test. Let's assume a significance level of 0.05, which is a common choice.

Since this is a two-tailed test, we need to find the probability of observing a test statistic as extreme or more extreme than 2.5 in either direction. We can find this probability using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find that the probability of observing a z-score of 2.5 or greater is 0.0062. The probability of observing a z-score of -2.5 or smaller is also 0.0062. Therefore, the P-value for the two-tailed test of hypothesis is:

P-value = 2 * 0.0062

P-value = 0.0124

This means that if the true proportion of business students who have personal computers at home differs from 30%, with a significance level of 0.05, and we obtain a test statistic of 2.5, then the probability of observing such an extreme result by chance alone is 0.0124.

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A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

Answer:

For 3 pounds, 3 ÷ 1/8 = 54

For 7 pounds, 7 ÷ 1/8 = 56