Find the total number of outcomes if Johnny can choose between 6 pair of pants, 5 shirts, and 4 belts

Question 10 options:

A. 15


B. 120


C. 40


D. 360

The choice of method to the solution of the \pair of equations is substitution method.

In a pair of equations, we can use substitution method or any other method to solve the equations.

The given pair of equations is

y=-x+5 and

y=-x+3

The first thing is to write the two equations where the constant stays at the right hand side and the two variables stay at the left hand side tyo give

y+x = 5 and

y+x=3

Then we use substitution method to solve for x and y

In this case, make x the subject of the relation in equation 1

x=5-y

Then substitute x=5-y in equation 2

That is 2y = 5

then y = 2.2

Sibstitute y=2.2 in equation  to get x=5-2.2

Therefore the value of x=2.8

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Hence, we have identified Q in each of the symbols as alpha radiation, beta radiation, and positron emission radiation.

Given, Each of the following represents a type of radiation. Identify Q in each of the symbols.0 4 0 a. Q b. Qc. e+1 0 4 0 2+1The symbols given represent the type of radiation and we need to identify Q in each of the symbols. Q represents the type of radiation in each of the symbol.

The types of radiation are given below: Symbol: 040 a type of radiation: Alpha radiation Q: Symbol: 0Qb. Q Type of radiation: Beta radiation Q: e+1 040 2+1Type of radiation: Positron emission radiation

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The real values of $c$ for which $x^2 + 16x + c$ is the square of a binomial are $64$ and $0$.

To find these values, we can use the concept of completing the square. For a quadratic expression to be the square of a binomial, the coefficient of the linear term ($16x$) must be twice the product of the square root of the constant term ($c$) and the square root of the coefficient of the quadratic term ($1$). In this case, the coefficient of the linear term is $16$ and the coefficient of the quadratic term is $1$. So, we have $16 = 2\sqrt{c}\sqrt{1}$.

Simplifying this equation gives $16 = 2\sqrt{c}$. Dividing both sides by $2$ yields $\sqrt{c} = 8$. Squaring both sides gives $c = 64$. Thus, $c = 64$ is one possible value.

Additionally, if we consider the case when $c = 0$, the quadratic expression becomes $x^2 + 16x + 0 = (x + 8)^2$. Therefore, $c = 0$ is another possible value.

In summary, the real values of $c$ for which $x^2 + 16x + c$ is the square of a binomial are $64$ and $0$.

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\(\qquad \qquad\huge \underline{\boxed{\sf ᴀɴsweʀ}}\)

Here's the solution ~

\(\qquad \sf  \dashrightarrow \: \frac{(4/7)^5 \times (2 / 3)^4 }{(4 / 9) \times (4 / 7)^ 3} \)

\(\qquad \sf  \dashrightarrow \: \frac{ (\frac{4}{7}) {}^{5} }{ (\frac{4}{7} ) {}^{3} } \times \frac{( \frac{2}{3})^{4} } { \frac{4}{9} } \)

\(\qquad \sf  \dashrightarrow \: \frac{ (\frac{4}{7}) {}^{5} }{ (\frac{4}{7} ) {}^{3} } \times \frac{( \frac{2}{3})^{4} } { \frac{ {2}^{2} }{ {3}^{2} } } \)

\(\qquad \sf  \dashrightarrow \: \frac{ (\frac{4}{7}) {}^{5} }{ (\frac{4}{7} ) {}^{3} } \times \frac{( \frac{2}{3})^{4} } {( \frac{2}{3} ) {}^{2} } \)

\(\qquad \sf  \dashrightarrow \: ( \frac{4}{7}) {}^{2} \times ( \frac{2}{3} ) {}^{2} \)

\(\qquad \sf  \dashrightarrow \: \frac{16}{49} \times \frac{4}{9} \)

\(\qquad \sf  \dashrightarrow \: \frac{64}{441} \)

The type of dilation and scale factor in the figure shown is

Scale factors are used to increase or decrease image. The situation of increment is usually called magnifying or enlargement.

The given problem is enlargement since the preimage is smaller than the image. Also the scale factor will be greater than 1

Taking a point of reference say side 6 in the preimage and side 15 in the image and solve for the factor, assuming the factor is k

6k = 15

k = 15/6

k = 2.5

hence we say that the scale factor is 2.5

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Answer: Enlargement with scale factor of 2.5

Step-by-step explanation: I took the quiz so you don't have too!

Answer:

258 liters

Step-by-step explanation:

in order to do this you would look at the ratio and turn it into a fraction. for every 3 parts of natural you need 4 parts of the other. so that's 7. 3/7 over x/602 to find how many you need. cross multiply and you get 1806=7x. divide by 7 and you get 258 as your answer.

The value of function d (1) is,

⇒ d (1) = 30

We have to given that,

Jamie wrote the piecewise function, d(t), to model her sightseeing trip.

Let d(t) be the distance, in miles, from the center of town for any time, t, in hours.

Here, Function d (t) is defined as,

d (t) = 30t ; 0 ≤ t < 2

      = 60 ; 2 ≤ t < 3

      = 45t - 75 ; 3 ≤ t < 4

      = 105 ; 4 ≤ t < 5

      = - 25t + 230 ; 5 ≤ t < 6

      = 80   ; 6 ≤ t < 7

      = - 40 + 360t  ; 7 ≤ t < 8

Hence, By given function d (1) is defined as,

⇒ d (t) = 30t ; 0 ≤ t < 2

Hence, plug t = 1

·⇒ d (1) = 30 × 1 ; 0 ≤ t < 2

⇒ d (1) = 30

Thus, The value of function d (1) is,

⇒ d (1) = 30

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In 2026, the $5,000 in 2021 dollars would be worth $6,224.80 in 2021 terms. This is calculated by multiplying $5,000 by the inflation rate of 396%, which is 1.396, for five years. So $5,000 x 1.396 = $6,224.80.

Multiplying is the process of taking two or more numbers, called factors, and multiplying them together to find the product. It is one of the four basic operations in mathematics. Multiplying numbers can be done in many different ways, such as using a multiplication table, a calculator, or a pencil and paper.

The result of multiplying two numbers is called a product. Multiplying can also be used to solve equations and multiply fractions. Multiplying numbers is an important part of basic math, and it is essential for more advanced math topics, such as algebra and calculus.

The inflation rate of 396% is an annual rate, so to calculate the amount of money in 2021 terms you have after five years, you have to multiply the original amount with the inflation rate for five years. This is done by multiplying the inflation rate (1.396) by itself five times.  This gives you the total amount of money you will have in 2021 terms after five years.

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The amount of ascent, or vertical distance, divided by the run, or horizontal distance, is how slope is commonly expressed as a percentage.

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Answer:

The correct definition of an angle is:

C. A shape formed by two intersecting lines or rays.

An angle is formed when two lines or rays meet or intersect at a common point called the vertex. It represents the amount of turn or rotation between the two lines or rays.

Step-by-step explanation:

C. A shape formed by two intersecting lines or rays

The correct definition of an angle is that it is a shape formed by two intersecting lines or rays. An angle is formed by two distinct arms or sides that share a common endpoint, known as the vertex. The arms of an angle can be either lines or rays, which extend infinitely in opposite directions. Therefore, option C best describes the definition of an angle.

The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

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Home plate to second base is located at a distance of 90√2 feet.

A square is a rectangle in which each side is the same length. The distance separating the square's opposing vertices is known as the diagonal. The Pythagoras Theorem can be used to compute the diagonals:

Diagonal² = Side² + Side²

Diagonal² = 2 Side²

Diagonal = √2 Side

The answer to the question is that it is 90 feet from home plate to first base.

This is the length of the side that makes up the baseball diamond's square shape. The diagonal of the square is the distance from home plate to second base.

Diagonal = √2 Side

Diagonal = 90√2

Hence, home plate to second base is located at a distance of 90√2 feet.

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The question is incomplete. The complete question will be -

"A baseball diamond is square. The distance from home plate to first base is 90 feet. In feet, what is the distance from home plate to second base?"

2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".

Let's start by factoring out the common factor of n^3 from each term:

2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)

Now, let's rewrite the expression as a single term multiplied by n^3:

2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3

Simplifying the expression inside the parentheses:

= (2n^3 + 3n^2 + 10n^3)/n^3

= (12n^3 + 3n^2)/n^3

= 12 + 3/n

ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.

Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

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Answer: p=5/4

p = 1/2+3/4

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Find the minimum proportion of observations in the population that are in the range 8,800 to 9,200 is 0.75,.

Note that based on the metrics given:

µ = 8,000

σ = 100.

Hence, according to the Chebyshev’s Theorem,

1. At least 3/4 (75%) of the data fall within two standard deviations of the mean, i.e. in the interval with endpoints 2 for populations.

2. At least 8/9 (88.9%) of the data fall within three standard deviations of the mean, i.e. in the interval with endpoints 3 for populations.

3. at least 1/k2 of the data are within k standard deviations of the mean, i.e. in the interval with endpoints k for populations, where k is any positive whole integer higher than 1.

Hence because the shape of the distribution is not known, using Chebyshev's theorem,

μ-2σ = 8000-2*100 = 7800

μ+2σ = 9000+2*100 = 9200

Hence 75% value will lie between 7,800 and 9,200

A population in statistics is the group of people from which a statistical sample is taken for a research. As a result, any collection of people who share a characteristic might be called a population.

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Hence,  when \(n=10\) the given inequality is true.

What is the inequality?

An inequality is said to be sharp if it cannot be relaxed and still be valid in general.

Here given that,

Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.

So,

\(2(n + 2) < 5(n-1)\)

When

\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)

Hence,  when \(n=10\) the given inequality is true.

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Answer:

y = 63

Step-by-step explanation:

A straight line is equal to 180 degrees.

180 = 2y - 18 + y + 9

180 = 3y -9

189 = 3y

189/3

y = 63

Answer:

63

Step-by-step explanation:

2y-18+y+9=180 degrees

3y-9=180 degrees

3y=189 degrees

y=63 degrees

the NPV of the ambulance, rounded to the nearest dollar, is approximately $10,731. Option b

To calculate the NPV (Net Present Value) of the ambulance, we need to determine the present value of the net cash flows over the five-year period.

The formula for calculating NPV is:

NPV = (Cash Flow / (1 + r)^t) - Initial Investment

Where:

Cash Flow is the net cash flow in each period

r is the required rate of return

t is the time period

Initial Investment is the initial cost of the investment

In this case, the net cash flow per year is $50,000, the required rate of return is 9%, and the initial cost of the ambulance is $200,000.

Using the formula, we calculate the present value of each year's cash flow and subtract the initial investment:

NPV =\((50,000 / (1 + 0.09)^1) + (50,000 / (1 + 0.09)^2) + (50,000 / (1 + 0.09)^3) + (50,000 / (1 + 0.09)^4) + (75,000 / (1 + 0.09)^5) - 200,000\)

Simplifying the equation, we find:

NPV ≈ 10,731

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Focus groups are not appropriate for generating statistics and making scientific generalizations.

The given statement is True.

Focus groups are qualitative research methods used to gather in-depth insights and subjective opinions from a small group of participants.

They typically involve a moderator guiding a discussion among a selected group of individuals to explore their perspectives, attitudes, and experiences on a specific topic.

The main objective of focus groups is to obtain rich, contextual information rather than to produce statistical data.

Focus groups usually consist of a small number of participants, typically ranging from 6 to 12 individuals, which makes it difficult to achieve statistical significance or representativeness.

The participants are not randomly selected, but rather purposively chosen based on specific criteria relevant to the research focus.

While focus groups offer valuable qualitative insights, they are not designed to generate statistically reliable data or make generalizations to a larger population.

The results obtained from focus groups are specific to the participants involved and their unique perspectives.

Therefore, it is not appropriate to use focus group findings as a basis for making scientific generalizations or drawing statistically significant conclusions about a broader population.

To make scientific generalizations and produce statistical data, researchers typically employ quantitative research methods, such as surveys or experiments, with larger and more diverse samples that allow for statistical analysis and inference.

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The total surface area of the triangular prism is: 111 ft²

To find the total surface area of the given triangular prism, we will find the area of all the surfaces and add it up.

Formula for the area of a rectangle is:

Area = Length * Width

Area of a triangle is:

Area = ¹/₂ * base * height

Thus:

Total Surface area = 2(¹/₂ * 3 * 7) + (7 * 5) + (8 * 5) + (3 * 5)

Total Surface area = 21 + 35 + 40 + 15

Total Surface area = 111 ft²

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Answer:

A rectangular prism would be best to model a suitcase

Step-by-step explanation:

Hope that helps!

Answer:

Rectangular Prism

Step-by-step explanation:

If you look at a suitcase, it resembles a rectangular prism quite well.

Answer:

2

Step-by-step explanation:

The order of operations is:

Parentheses

Exponents
Multiply
Division
Addition
Subtraction

1 + 1 * 1 / 1 =

1 + (1 * 1) / 1 =

1 + 1 / 1 =

1 + 1 =

2

-------------------------------------------------------------------------------------------------------------

Hope this helps :)

Looking at the curve, we can see that the half life of the isotope is 30 minutes.

To find the half-life from a decay curve, you first need to plot the decay curve on a graph. The decay curve should show the amount of radioactive material present over time, usually in the form of a decreasing exponential curve.

Once you have the decay curve plotted, you can determine the half-life of the radioactive material by finding the time it takes for the amount of material to decrease by half. In other words, the half-life is the time it takes for half of the original radioactive material to decay.

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Answer:

P = Q becuase bisector

Step-by-step explanation:

Answer:

Step-by-step explanation:

solution

given KL is perpendicular bisector of PQ

1. in triangle KPL and KQL

a.∠KLP= ∠KLQ                                       1. a. KL is perpendicular bisector of PQ

b. KL is common in both triangle              b. common side

c. PL=LQ                                                   c. KL bisects the PQ

2 therefore triangle KPL and KQL is   2.by R.H.S axiom

congurent triangle

3.∠P=∠Q                                                3. corresponding angle of triangle are  

                                                                       equal

proved

This expression can be implemented using logic gates such as AND, OR, and NOT gates.

To simplify the given expression using gates, we need to apply the Boolean laws and the distributive property. We can factor out the common terms (in_1) (in_2) and (in_0) (in_1) (in_2) from the expression. Then we can use the distributive property to combine the remaining terms. After simplification, the expression becomes out_0 = (in_1) (in_2) [(in_in_e) + (in_0) (in_) + (in_) (in_) + (in_m)]. Therefore, the simplified expression for out_0 using gates is (in_1) (in_2) [(in_in_e) + (in_0) (in_) + (in_) (in_) + (in_m)]. This expression can be implemented using logic gates such as AND, OR, and NOT gates.

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Answer:

I'm not sure what you are looking for but I'm assuming you are finding r.

r is equal to 4.

Step-by-step explanation:

6 = r + 2

In order to find r, you have to subtract 2 from 6.

So, r = 6 - 2 = 4

Answer:

Step-by-step explanation: