You make street signs. This morning, you need to make a triangular sign and a circular sign. The material used to make the signs costs $17. 64 per square foot. Based on the designs, the base of the triangular street sign is 3 feet, and the height is 2. 6 feet. The circular street sign has a radius of 1. 5 feet. What is the total cost to make the two signs? ​

Answer:

a) 4 meters

b) 6 meters

Step-by-step explanation:

a)

20/5 = 4

b)

1.2 x 5 = 6

Answer:

= -1.9f - 21

Step-by-step explanation:

Let's simplify

-2. 6f+ 0.7f- 12 - 9

= - 2.6f+ 0.7 f + - 12 + - 9

Combine like terms

= - 2.6 f+ 0.7 + - 12 + - 9

= (-2.6f + 0.7f ) + ( - 12+-9)

=1.9f+ -21

Usando proporciones, hay que con 200 pesos mx se pueden comprar 0.0645 yenes.

Una proporción es una fracción de la cantidad total, y puede ser encontrada por intermedio de una regla de tres.

En este problema, hay que un yene cuesta $0.17, enquanto $1 = 3100 pesos. Por eso, cada yene es equivalente a 3100 pesos.

Por eso, la regla de tres es:

1 yene - 3100 pesos

x yenes - 200 pesos

Aplicando multiplicación cruzada:

\(3100x = 200\)

\(x = \frac{200}{3100}\)

\(x = 0.0645\)

Con 200 pesos mx se pueden comprar 0.0645 yenes.

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The 30, 60, and 90 is a special right triangle. This area of this  \(\frac{1}{2}(base * height)\) = \(\frac{1}{2} [(x\sqrt{3} )(x)]\)

30,60,90 special right triangles because there is a relation between height, base, and the hypotenuse.

Point to be noted:

the opposite side of \(30^{o}\) is height, the opposite side of \(60^o\) is base, and the opposite side of \(90^o\) is the hypotenuse.

assume the height of the triangle = \(x\)

In this type of triangle, the hypotenuse is double of height,

so, hypotenuse = \(2x\)

and the base of the triangle is \(\sqrt{3}\) of the height.

Therefore, base = \(x\sqrt{3}\)

hence, the area of the triangle = \(\frac{1}{2} [(x\sqrt{3})(x)]\)

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Answer:

B isa the answer for me it might be wrong for you or switch them

Step-by-step explanation:

The required probability for the given event is given as 0.5.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

Given that,

The probability of a door being locked is 70% = 0.7

Total number of keys is 10.

The number of keys being carried is 2.

Thus, there can be two cases for getting through the door.

Case 1: The door is locked.

The probability to open the door by 1 key is 1/10.

Then, the probability to open the door by 2 keys is 2/10 = 1/5.

Case 2: The door is open.

In this case no keys are needed which means the chance of getting through is the probability of door not being locked which is given as,

1 - 0.7 = 0.3.

Now, the overall probability should consider both the cases as,

P(getting through the door) = P(Door is closed and keys open it)

+ P(The door is open)

= 0.3 + 1/5

= 0.3 + 0.2

= 0.5.

Hence, the probability to get through the door without returning for more keys is 0.5.

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Setting x1 to zero in the equation 2x1 + 1x2 = 30 results in the value of x2 being 30.

The given equation is 2x1 + 1x2 = 30, where x1 and x2 represent variables. To find the value of x2 when x1 is set to zero, we substitute x1 with zero in the equation.

By replacing x1 with zero, we have 2(0) + 1x2 = 30. Simplifying further, we get 0 + 1x2 = 30, which simplifies to x2 = 30.

When x1 is set to zero, the equation reduces to a simple linear equation of the form 1x2 = 30. Therefore, the value of x2 in this scenario is 30.

Setting x1 to zero effectively eliminates the contribution of x1 in the equation, allowing us to focus solely on the value of x2. In this case, when x1 is removed from the equation, x2 becomes the sole variable responsible for fulfilling the equation's requirement of equaling 30. Thus, x2 is determined to be 30.

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We can be 99% confident that the true average amount of chemical that will dissolve in 100 grams of water at 50°C is between 2.23 and 2.57 grams.

To construct a 99% confidence interval for the average amount of chemical that will dissolve in 100 grams of water at 50°C, we need a sample of measurements. Let's suppose we have collected a sample of n measurements and denote the sample mean by x. We also need to know the population standard deviation σ, or alternatively, the sample standard deviation s.

Since we do not have this information, we can use a t-distribution with n-1 degrees of freedom to calculate the confidence interval. The t-distribution takes into account the uncertainty due to the estimation of σ from s.

The formula for the confidence interval is:

x ± tα/2 * s/√n

where x is the sample mean, s is the sample standard deviation, n is the sample size, tα/2 is the critical value of the t-distribution with n-1 degrees of freedom and a 99% confidence level. We can find this value using a t-table or a statistical software.

For a sample size of n=30 or more, we can assume that the sample mean x is approximately normally distributed. In this case, we can use the z-distribution instead of the t-distribution. The formula for the confidence interval remains the same, but we replace tα/2 with zα/2, the critical value of the standard normal distribution.

Let's suppose we have a sample of n=50 measurements, and the sample mean is x=2.4 grams and the sample standard deviation is s=0.3 grams. We can find the critical value tα/2 for a 99% confidence level and 49 degrees of freedom using a t-table or statistical software. Let's assume it is 2.678.

The confidence interval is then:

2.4 ± 2.678 * 0.3/√50

which simplifies to:

(2.23, 2.57)

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Answer:

137

Step-by-step explanation:

I hope this helps

Answer:

Ok

Step-by-step explanation:

If one of the longer sides of the Isosceles triangle is 6.3 centimeters, the length of the base is 3.1 centimeters.

Let's solve the problem step by step:

1. Identify the given information:

  - The triangle is isosceles, meaning it has two equal sides.

  - The two equal sides, labeled "a," are longer than the base, labeled "b."

  - The perimeter of the triangle is 15.7 centimeters.

  - One of the longer sides is 6.3 centimeters.

2. Set up the equation based on the given information:

  Since the triangle is isosceles, the sum of the lengths of the two equal sides is twice the length of the base. Therefore, we can write the equation:

  2a + b = 15.7

3. Substitute the known value into the equation:

  One of the longer sides is given as 6.3 centimeters, so we can substitute it into the equation:

  2(6.3) + b = 15.7

4. Simplify and solve the equation:

  12.6 + b = 15.7

  Subtract 12.6 from both sides:

  b = 15.7 - 12.6

  b = 3.1

5. Interpret the result:

  The length of the base, labeled "b," is found to be 3.1 centimeters.

Therefore, if one of the longer sides of the isosceles triangle is 6.3 centimeters, the length of the base is 3.1 centimeters.

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Answer:

u = 4

Step-by-step explanation:

32 = 5u + 3u = 8u ( divide both sides by 8 )

4 = u

Step-by-step explanation:

u=4 after you add or combine like terms , you then divide both sides by the same factor

The degree of a vertex represents the number of other actors or actresses that an actor or actress has worked with in movies.

The neighborhood of a vertex represents the set of actors or actresses that an actor or actress has worked with in movies.

Isolated vertices represent actors or actresses who have not worked with any other actors or actresses in any movie, while pendant vertices represent actors or actresses who have only appeared in one movie with another actor or actress in the Hollywood graph.

The Hollywood graph is an undirected graph because the relationship between actors and actresses is mutual.

Each vertex in this graph represents an actor or actress, and the degree of a vertex represents the number of other actors or actresses that they have worked with in movies. In other words, the degree of a vertex represents the number of edges that are connected to that vertex.

The neighborhood of a vertex in a graph refers to the set of all vertices that are adjacent to it. In the context of the Hollywood graph, the neighborhood of a vertex represents the set of actors or actresses that a particular actor or actress has worked with in movies.

An isolated vertex in a graph is a vertex that has no edges connected to it. In the context of the Hollywood graph, an isolated vertex represents an actor or actress who has not worked with any other actors or actresses in any movie.

A pendant vertex in a graph is a vertex that has only one edge connected to it. In the context of the Hollywood graph, a pendant vertex represents an actor or actress who has only appeared in one movie with another actor or actress in the Hollywood graph.

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Answer:

angle ADC is shown as a 90 degree angle

90 - 22 = 68

so I would go with 68 degrees

The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

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Answer:

Please check the explanation below.

Step-by-step explanation:

Given the equations

\(6x+18y+6z=24,\:-x-3y-2z=-4,\:2x+6y+2z=8\:\:\)

Steps to solve

\(\begin{bmatrix}6x+18y+6z=24\\ -x-3y-2z=-4\\ 2x+6y+2z=8\end{bmatrix}\)

\(\mathrm{Subsititute\:}x=4-3y-z\)

\(\begin{bmatrix}-\left(4-3y-z\right)-3y-2z=-4\\ 2\left(4-3y-z\right)+6y+2z=8\end{bmatrix}\)

As

\(-\left(4-3y-z\right)-3y-2z=-4\)

\(-z-4=-4\)

and

\(2\left(4-3y-z\right)+6y+2z=8\)

\(8=8\)

so

\(\begin{bmatrix}-z-4=-4\\ 8=8\end{bmatrix}\)

Isolating z for \(-z-4=-4\)

\(-z-4=-4\)

\(-z=0\)

\(\frac{-z}{-1}=\frac{0}{-1}\)

\(z=0\)

\(\mathrm{For\:}x=4-3y-z\)

\(\mathrm{Expressing\:}x\mathrm{\:in\:terms\:of\:}y\)

\(x=4-3y-0\)

\(x=-3y+4\)

Therefore,

\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\)

\(x=-3y+4,\:z=0\)

According to the information, the null hypothesis is that 70% or fewer of the instructor's students have improved their driving distance by at least 20 yards. The alternative hypothesis is that more than 70% of the instructor's students have improved their driving distance by at least 20 yards. Based on the data provided, we can evaluate whether the instructor's claim is valid.

Accordign to the information we have to consider that the null hypothesis states that 70% or fewer of the instructor's students have improved their driving distance by at least 20 yards, while the alternative hypothesis suggests that more than 70% have seen such improvement.

According to the above, the claim's validity is assessed by comparing the observed data with the expected outcome under the null hypothesis. In this case, 138 out of 180 viewers reported an improvement. Statistical tests can be conducted to determine if this observed proportion significantly differs from the hypothesized proportion of 70% or fewer.

To conclude, if the test results reject the null hypothesis, there is evidence to support the claim; otherwise, the claim cannot be validated.

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No, the instructor's claim is NOT valid. See   the explanation below.

To   test the hypothesis, we can use a z- test.

z = (p - p₀) / σ

Where

σ = √(p₀(1 - p₀) / n)

where:

Since p  =138/180

= 0.7667.

p₀=0.7. The sample size is n=180.

z = (0.7667 - 0.7) / √(0.7(1 - 0.7) / 180)

= 1.95277604597

≈ 1.92

Since the p-value for a z-score of 1.92 is 0.054, we can reject the null hypothesis.

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It would take about 10 seconds for the object to fall to the ground from the top of the tower

From the question, we have the following function equation that can be used in our computation:

s(t) = 16t²

Also, from the question;

The height (h) of the tower is given as

h = 1503 feet

The object would hit the ground when the height of the tower equals the distance travelled

Mathematically, this can be represented as:

s(t) = h

So, we have

s(t) = 1503

Substitute s(t) = 1503 in s(t) = 16t²

16t² = 1503

Divide both sides by 16

This gives

t² = 93.9375

Take the square root of both sides and approximate

t = 10 seconds

Hence, the time taken is about 10 seconds

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In inferential statistics, the objective is to determine the probability of the alternative hypothesis being true or the null hypothesis being true.

This involves using sample data to make inferences and draw conclusions about a larger population. By analyzing the data and performing statistical tests, we assess the likelihood of the alternative hypothesis or the null hypothesis being accurate.

The alternative hypothesis represents a claim or statement that contradicts the null hypothesis and suggests that there is a significant relationship or difference between variables. To determine its probability, statistical methods such as hypothesis testing and p-values are employed. These methods evaluate the strength of evidence against the null hypothesis and support the alternative hypothesis when the evidence is substantial.

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Answer:

First, we can calculate the discount from the sale. The sweater costs $65.99, and with a 40% discount, the price is reduced by:

$65.99 x 0.40 = $26.40

So the sale price of the sweater is:

$65.99 - $26.40 = $39.59

Next, we can apply Carson's $10 coupon to the sale price:

$39.59 - $10 = $29.59

Therefore, Carson pays $29.59 for the sweater after the discounts.

To calculate the total discount that Carson receives, we can first find the amount of the 40% discount on the sweater, which is:

40% of $65.99 = 0.4 x $65.99 = $26.40

Then, we can add the additional $10 coupon discount to get the total discount:

$26.40 + $10 = $36.40

Therefore, the total discount that Carson receives on the sweater is $36.40.

To find the final price that Carson pays after the discounts, we can subtract the total discount from the original price:

$65.99 - $36.40 = $29.59

Therefore, Carson pays $29.59 for the sweater after the discounts.

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

Answer:

it would be 4200 ore

Step-by-step explanation:

because 882/.21

Step-by-step explanation:

l = 3 + 2w

P= 2w t 2l

= 2w+2(3+2w)

=2w+6+4w

=6w+6 = 54

6w=48

w=8

divide 6 both side

l=3+2(8)=3+16=19

answer

width 8feet and length 19 feet

The inverse Laplace transform, we have C-1 3s – 20 s(s+4) = f(t), where the correct choice is Of( t) = -5 8e4t.

To determine the inverse Laplace transfigure, we first need to simplify the expression on the left- hand side of the equation. Expanding the equation gives C- 1/( 3s) 20/( s 4) = f( t).

Taking the inverse Laplace transfigure of each term, we get

 L- 1{ C}- L- 1{ 1/( 3s)} L- 1{ 20/( s 4)} = f( t).

The inverse Laplace transfigure of 1/( 3s) is(1/3) u( t),

where u( t) is the unit step function.

The inverse Laplace transfigure of 20/( s 4) is 20e(- 4t) u( t).

the equation becomes

C-(1/3) u( t) 20e(- 4t) u( t) = f( t).

Simplifying further,

we have C( 20e(- 4t)-1/3) u( t) = f( t).

Comparing this with the given options, the correct choice is Of( t) = -5 8e4t, as it matches the form of the equation we deduced.

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Answer:

if i see the picture

i can probaly help

Step-by-step explanation:

Answer:

Don't worry, I gotcha.

Step-by-step explanation:

3       -6      -3

----  + ----  = ----

4         5       9

Answer:

Simplify the expression.

Exact Form:

213/20

Decimal Form:

10.65

Mixed Number Form:

10 13/20

Step-by-step explanation:

Let ψ(x)={csin(2πxL) x≤L {0 x<0 or x>L be the electron wave function. The probability that an electron is in the range 0≤x≤L/3 equals square root (2/L) of the normalization constant, or c. The response is one or half.

The wave functions. A wave function () is a mathematical formula that connects the position of an electron at a specific point in space (specified by its x, y, and z coordinates) to the wave's amplitude, or its energy. Consequently, a specific energy E is linked to each wave function. To determine the wavelength of the traveling electron, use the de Broglie wave equation =hmv.

As a function of momentum, time, location, and spin, a wave function in quantum physics describes the quantum state of a particle. The Greek letter psi, or, is the symbol used to represent a wave function. The shape of an electron is a consequence of its energy and the structure of the potential well that traps it. 1/2 or 1 represents the likelihood that an electron is in the range 0≤x≤L/3.

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