determine the type of triangle that is drawn

Answer:

It would decrease

Step-by-step explanation:

The surface area of the rectangular prism in this problem is given as follows:

A. 426 m².

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas. -> net method.

The dimensions for this problem are given as follows:

5 m, 12 m and 9 m.

Hence the surface area of the prism is given as follows:

S = 2(5 x 12 + 5 x 9 + 12 x 9)

S = 426 m².

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Step-by-step explanation:

5.1054 meters

I think you should round the number tho

The passcodes for the numbers are: 1 = 1234,  5=7777, 12 = 3333, 14 = 6666, 18 = 4321

You should understand that a passcode is a type of security method used to protect devices and services.  It is a numeric sequence used to authenticate a user on a computer or electronic device, similar to a password, but with a smaller character limit (around 4-8 characters) and a character set usually limited to numbers 0-9. It is an optional, added-security feature that can be enabled inside the app and provides extra protection and security for a wireless account against unauthorized changes when the device is unlocked.

To the given numbers the passcodes are  1 = 1234,  5=7777, 12 = 3333, 14 = 6666, 18 = 4321

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Given that:

- The line segment has a midpoint at:

- The line goes through these points:

You need to remember that the equation of a line in Slope-Intercept Form is:

Where "m" is the slope of the line and "b" is the y-intercept.

You can find the slope of the line that passes through the points shown above, by using this formula:

Where these two points are on the line:

You can substitute the coordinates of two of the three given points on the line. You can use these points:

Set up that:

Then, you get:

By definition, the slopes of perpendicular lines are opposite reciprocals. Therefore, you can determine that the slope of the perpendicular bisector of the given line segment is:

Substitute the slope and the coordinates of the Midpoint into the following equation, and then solve for "b":

Then, you get:

Knowing the slope and the y-intercept, you can write this equation in Slope-Intercept Form:

Simplify:

Hence, the answer is: First option.

Therefore, the probability that the first number divided by the second number is greater than zero is 1/3.

In mathematics, probability is a measure of the likelihood or chance of an event occurring. It is a way of quantifying uncertainty and expressing how likely it is that a particular outcome will occur. Probability theory is used in a wide range of fields, including mathematics, statistics, physics, engineering, economics, and social sciences. It is used to model and analyze random phenomena, make predictions, and estimate the likelihood of certain outcomes.

Here,

Since we are returning the first tile to the bag before selecting the second one, the two selections are independent of each other.

There are two cases to consider:

Case 1: We select a positive number on the first draw.

The probability of selecting a positive number on the first draw is 2/3, since there are two positive numbers (-12 and 1) out of a total of three tiles.

Regardless of what number we select on the first draw, there is only one negative number (-2) in the bag, so the probability of selecting a negative number on the second draw is 1/3.

Therefore, the probability of selecting a positive number on the first draw and a negative number on the second draw (which results in a quotient greater than zero) is:

(2/3) x (1/3) = 2/9

Case 2: We select the negative number (-2) on the first draw.

The probability of selecting the negative number (-2) on the first draw is 1/3.

In this case, we must select the positive number on the second draw in order for the quotient to be greater than zero. There is only one positive number (1) in the bag, so the probability of selecting it on the second draw is 1/3.

Therefore, the probability of selecting the negative number (-2) on the first draw and the positive number on the second draw (which results in a quotient greater than zero) is:

(1/3) x (1/3) = 1/9

Since these are the only two cases that satisfy the condition, the overall probability is the sum of the probabilities of these two cases:

2/9 + 1/9 = 3/9 = 1/3

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Abiding by the two rules, the number of variable names we can have in Python are; 63

The rules for python are given as;

1) Variable names in Python can be any length and can consist of uppercase and lowercase letters ( A-Z, a-z ), digits ( 0-9 ), and the underscore character ( _ ).

1b) An additional restriction is that, although a variable name can contain digits, the first character of a variable name cannot be a digit.

2) We limit each line to 79 characters, so, to be extra careful, we will assume variables can be of at most 7 characters in length.

Now, abiding by the two rules above, the number of variable names we can have in Python are;

26( A-Z) + 26(a-z) + 10(0-9) + 1 ( _ ) = 63 variable names

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The six terms of the series 247 are 2, 2, 2, 2, 2, and 2.

To find the six terms of a series, we need to first understand what a series is. A series is defined as the sum of the terms of a sequence. A sequence is a set of numbers in a specific order.

Therefore, a series is a sum of terms from a sequence. There are different types of series, and they have different formulas for calculating their terms.In this case, we are required to find the six terms of the series 247. Since this is a finite series, we can use a formula to calculate the nth term of a finite series.

The formula is given as follows:Tn = a + (n - 1) dWhere Tn is the nth term of the series, a is the first term of the series, n is the number of terms in the series, and d is the common difference between the terms of the series.To find the six terms of the series 247, we need to know the value of a and d. In this case, we can see that the first term of the series is 2. Therefore, a = 2.

Since this is a constant series, we can see that the common difference between the terms is 0. Therefore, d = 0.Substituting these values in the formula, we get:T1 = a + (1 - 1) dT1 = 2 + 0T1 = 2T2 = a + (2 - 1) dT2 = 2 + 0T2 = 2T3 = a + (3 - 1) dT3 = 2 + 0T3 = 2T4 = a + (4 - 1) dT4 = 2 + 0T4 = 2T5 = a + (5 - 1) dT5 = 2 + 0T5 = 2T6 = a + (6 - 1) dT6 = 2 + 0T6 = 2.

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The formula that can be used to find the area of the figure shaded green is 9² - 4². The correct option is c 9² - 4²

From the question, we are to determine the formula that could be used to find area of the figure shaded green

From the formula for calculating area of a square

A = s²

Where A is area

and s is the side length

Then, the area of the bigger square will be

A = 9²

NOTE: Side length of the bigger square is 9m

Then,

For the smaller square, which is not shaded green

A = 4²

NOTE: Side length of the smaller square is 4m

∴ Area of the figure shaded green = 9² - 4²

Hence, the formula that can be used to find the area of the figure shaded green is 9² - 4². The correct option is c 9² - 4²

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Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.

1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.

2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.

3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.

4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.

5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.

6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.

Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.

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Answer: f(8) = 620.6

Step-by-step explanation:

To solve, you must first use substitution, and replace the x value in the given function, with 8.

\(f(8)=\frac{750}{1 + 74e^{-0.734(8)} }\)

Next you follow PEMDAS to solve the rest of the equation to find f(8).

What is PEMDAS?

PEMDAS is the order of operations for mathematical expressions involving more than one operation.

You solve in the following order

In this case our next step is deal with the exponents.

And by doing so, you will be multiplying -0.734 by 8

\(f(8)=\frac{750}{1 + 74e^{-5.872} }\)

And typical with exponents we would raise the number or variable given to the power of the exponent.

However we have a continuous number in this case, which is e.

What is e?

e is a mathematical constant approximately equal to 2.71828

We can now use a calculator to find what e (2.71....) is when raise to the exponent -5.872. Which results to 0.002817 (0.0028172332293320237716146943697).

When continuing to use numbers in calculators, don't use the rounded or shortened of the full number. Make sure to use the all of the numbers (given in the calculator) to its full extent to maintain accuracy.

\(f(8)=\frac{750}{1 + 74(0.002817) }\)

Now multiply 74 and 0.002817.... (use the full number to multiply (0.0028172332293320237716146943697)). The product is (0.2084752589705697590994873833578).

\(f(8)=\frac{750}{1 + 0.2084 }\)

Now lets add 1 + 0.2084.... and you get 1.2084

\(f(8)=\frac{750}{1.2084 }\)

Last you need to divide:

and you get that

f(8) = 620.6167

Now lets go back to the question, and we see that is says for you to round your answer to the nearest tenth.

so your final answer is:

f(8) = 620.6

The slope of  P=(-4,-1) Q=(-3,-3) is -2.

Given,

 P=(-4,-1)

Q=(-3,-3)

The  slope  between two points   P=(x₁, y₁)

Q=(x₂ ,y₂)

slope = (y₂-y₁)/(x₂-x₁)

So slope between  P=(-4,-1)   Q=(-3,-3) is

 [(-3)-(-1) ]/ [(-3)-(-4)]

=-2/1

=-2

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two different points on a line may be used to compute the slope of any line. The ratio of "vertical change" to "horizontal change" between two separate locations on a line is calculated using the slope of a line formula.

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate locations and calculating the slope of a line are related tasks. In general, we require the values of any two separate coordinates of a line in order to determine its slope.

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Therefore, the equation for the line tangent to the curve when x = 4 is y = (7/4) x + 7.

An equation is a mathematical statement that shows the equality between two expressions. Equations are used to solve problems and find solutions to mathematical or real-world problems. They typically involve variables, which are symbols that represent unknown values, and constants, which are known values that are used in the equation. Equations can take many forms, but they generally follow the pattern: expression = expression. Equations are an important tool in mathematics, science, and engineering, and they can be used to model and analyze many different types of systems and processes.

Here,

a. To find the equation for the secant line through the points where x has the given values, we need to find the slope of the line passing through the two points. The two points we need to consider are (4, 14) and (9, 21):

slope = (change in y) / (change in x)

= (21 - 14) / (9 - 4)

= 7 / 5

Now we can use the point-slope form of a line to find the equation of the secant line passing through these two points:

y - 14 = (7/5) (x - 4)

Simplifying this equation, we get:

y = (7/5) x + 6.6

Therefore, the equation for the secant line passing through the points where x has the given values is y = (7/5) x + 6.6.

b. To find the equation for the line tangent to the curve when x has the first value, we need to find the derivative of the function y = 7sqrt(x) with respect to x:

y' = (7/2) x*(-1/2)

Evaluating this derivative at x = 4, we get:

y'(4) = (7/2) (4*(-1/2)) = 7/4

This is the slope of the tangent line at x = 4. We can use the point-slope form of a line to find the equation of the tangent line at this point:

y - 14 = (7/4) (x - 4)

Simplifying this equation, we get:

y = (7/4) x + 7

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Answer:    c=2πr

Step-by-step explanation:

because im just that guy

Answer:

c=62.8

Step-by-step explanation:

diameter=20

radius=10

c=2πr

c=2×22/7×10

c=62.8

Answer: (4,-4)

Step-by-step explanation:

Reflection across the x axis means \((x,y) \longrightarrow (x,-y)\), so \((3,7) \longrightarrow (3,-7)\).

Reflection across the y axis means \((x,y) \longrightarrow (-x,y)\), so \((3,-7) \longrightarrow (-3,-7)\).

Then, \((-3,-7) \longrightarrow R'\boxed{(4,-4)}\)

\(\huge\blue{\fbox{\tt{Solution:}}}\)

We can simplify the expression using trigonometric identities.

First, we can use the double angle formula for sine to write sin(2x) = 2sin(x)cos(x).

Next, we can use the double angle formula for cosine to write cos(2x) = cos^2(x) - sin^2(x) = 1 - 2sin^2(x). Rearranging this equation gives 2sin^2(x) - 2cos^2(x) = -cos(2x) + 1.

Substituting these identities into the original expression gives:

tan(x-1) ( sin2x-2cos2x) = tan(x-1) [2sin(x)cos(x) - 2(1 - 2sin^2(x))]

= 2tan(x-1)sin(x)cos(x) - 2tan(x-1) + 4tan(x-1)sin^2(x)

We can use the identity tan(x) = sin(x)/cos(x) to simplify this expression further:

2tan(x-1)sin(x)cos(x) - 2tan(x-1) + 4tan(x-1)sin^2(x)

= 2sin(x)cos(x)/(cos(x-1)) - 2sin(x)/(cos(x-1)) + 4sin^2(x)/(cos(x-1))

Multiplying both sides of the equation by cos(x-1) gives:

2sin(x)cos(x) - 2sin(x) + 4sin^2(x)cos(x-1) = 2(1-2sin(x)cos(x))

Expanding the left-hand side of the equation gives:

2sin(x)cos(x) - 2sin(x) + 4sin^2(x)cos(x) - 4sin^2(x) = 2 - 4sin(x)cos(x)

Simplifying this equation gives:

4sin^2(x) - 2sin(x) - 2 = 0

This is a quadratic equation in sin(x), which can be solved using the quadratic formula.

Answer:

1. 2/20, 1/9, 2/30, 1/16, 4/100       2. 5/9, 4/7, 9/16, 6/13     3. 15/16, 4/5, 21/23, 9/10, 8/9

Step-by-step explanation:

Answer:

C.112

Step-by-step explanation:

A repeating decimal is acceptable to use during calculations when you require a certain level of precision

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

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Step-by-step explanation:

h(x) = f(x) - g(x) = 15(7x) - (100x + 5) =

= 105x - 100x - 5 = 5x - 5

if h(x) < 0, then g(x) (company B) is more expensive.

if h(x) > 0, then f(x) (company A) is more expensive.

if h(x) = 0, then both companies charge the same.

2 weeks :

h(2) = 5×2 - 5 = 10 - 5 = 5

company A is more expensive, so, it costs her less to rent from company B.

1 week :

h(1) = 5×1 - 5 = 5 - 5 = 0

it will cost her the same with either company.

Answer:

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B.

If Marguerite rents for 1 week, it will cost her the same at either company

h(x) = 5x - 5

Step-by-step explanation:

Given information:

Let x = number of weeks

Company A rate structure:

\(f(x)=15(7x)\)

Company B rate structure:

\(g(x)=100x+5\)

2 week rental

\(\textsf{Company A}:\quad f(2)=15(7\cdot 2)=210\)

\(\textsf{Company B}:\quad g(2)=100(2)+5=205\)

Therefore, it will cost less renting from Company B.

1 week rental

\(\textsf{Company A}:\quad f(1)=15(7\cdot 1)=105\)

\(\textsf{Company B}:\quad g(1)=100(1)+5=105\)

Therefore, it will cost the same at either company.

Difference between two rate structures

\(\begin{aligned}\textsf{If }h(x) & = f(x)-g(x)\\\\\implies h(x) & = 15(7x)-(100x+5)\\& = 105x-100x-5\\& = 5x-5\end{aligned}\)

True Statements

Answer:

8+8=16

Step-by-step explanation:

Lets say you have 8 apples and your friend gives you 8 more apples. So, you count 9,10,11,12,13,14,15,16 which was 8 times.

Hope this helps.

The general rule of the arithmetic sequence is given as follows:

\(a_n = -1 + 2(n - 1)\)

The terms are given as follows:

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The nth term of an arithmetic sequence is given by the following rule:

\(a_n = a_1 + (n - 1)d\)

The difference between the 3 terms is of 6, hence the common difference is given as follows:

3d = 6

d = 2.

As the 2nd term is of 1, the first term is of:

\(a_1 = 1 - 2 = -1\)

Hence the rule is given as follows:

\(a_n = -1 + 2(n - 1)\)

The terms are given as follows:

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The angle that the ramp makes with the ground is approximately 28.07 degrees.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The sin of the angle θ is the ratio of the opposite side (height of the ramp) to the adjacent side (length of the inclined portion of the ramp):

Sin(θ) = 8/17

We can use a calculator to find the inverse sin of this ratio to get the angle θ:

θ = sin⁻¹(8/17)

θ ≈ 28.07 degrees

Therefore, the angle that the ramp makes with the ground is approximately 28.07 degrees.

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Answer:

9

Step-by-step explanation:

375 - 150 = 225

225 / 25 = 9

Answer:

I believe the answer would be 9 weeks

Answer:

y incpy would be 1/5

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they will order an alcoholic beverage, or they will not. The probability of a customer ordering an alcoholic beverage is independent of any other customer, which means that the binomial probability distribution is used to solve this question..

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .50

This means that \(p = 0.5\)

Sample of 14 customers

This means that \(n = 14\)

Probability that at least 7 will order a nonalcoholic beverage

This is:

\(P(X \geq 7) = 1 - P(X < 7)\)

In which

\(P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)\)

Then

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{14,0}.(0.5)^{0}.(0.5)^{14} = 0.0001\)

\(P(X = 1) = C_{14,1}.(0.5)^{1}.(0.5)^{13} = 0.0009\)

\(P(X = 2) = C_{14,2}.(0.5)^{2}.(0.5)^{12} = 0.0056\)

\(P(X = 3) = C_{14,3}.(0.5)^{3}.(0.5)^{11} = 0.0222\)

\(P(X = 4) = C_{14,4}.(0.5)^{4}.(0.5)^{10} = 0.0611\)

\(P(X = 5) = C_{14,5}.(0.5)^{5}.(0.5)^{9} = 0.1222\)

\(P(X = 6) = C_{14,6}.(0.5)^{6}.(0.5)^{8} = 0.1833\)

So

\(P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0001 + 0.0009 + 0.0056 + 0.0222 + 0.0611 + 0.1222 + 0.1833 = 0.3954\)

\(P(X \geq 7) = 1 - P(X < 7) = 1 - 0.3954 = 0.6046\)

0.6046 = 60.46% probability that at least 7 will order a nonalcoholic beverage.

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