Cameras mounted on the traffic signal in the center of the intersection are being set up to be sure that the entire intersection can be viewed remotely for a traffic study. The city manager has been told that m∠F=16°
m
∠
F
=
16
°
and that m∠B
m
∠
B
is 6° more than 5 times m∠F
m
∠
F
.
Which of these are true? Choose all that are correct.

The sample size needed to estimate the proportion of the citizens who follow the professional football with 4 percentage points of the margin of error and the 95% confidence depends on whether or not a prior estimate is used.

If a prior estimate of 54% is used, the sample size required is 597. If no prior estimate is used, the sample size required is 601.

The results are close because the margin of error of 4% is less than the standard 5% and because the estimated the proportion of 54% is very close to the worst-case scenario proportion of 50%.

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Check the picture below.

\(tan(\theta )=\cfrac{\stackrel{opposite}{282}}{\underset{adjacent}{137}}\implies \theta =tan^{-1}\left( \cfrac{282}{137} \right)\implies \theta \approx 64^o\)

Make sure your calculator is in Degree mode.

Answer:

Total Paperback books = 8x , where x is any positive number

Step-by-step explanation:

Let

The total books are = 13x   ; where x is any positive number

As given,

The ratio of hardback books to total books is 5 to 13.

⇒Hardback books = \(\frac{5}{13}\)× Total books

⇒Hardback books = \(\frac{5}{13}\)× 13x = 5x

So, Paperback books = Total books - Hardback books

                                    = 13x - 5x

                                    = 8x

⇒Total Paperback books = 8x

The equation of line b is y = -3x.

An equation is a mathematical statement that expresses the equality of two expressions. It is a representation of a relationship between two or more variables, and it can be written using symbols, numbers, and/or words. Equations are used to describe physical and chemical processes, to calculate unknown values, and to solve problems. Equations are fundamental to all areas of mathematics, science, engineering, and technology.

The equation of line b can be determined by finding the negative reciprocal of the slope of line a. The equation of line a is y = 1/3x + 3, which has a slope of 1/3.

Therefore, the slope of line b is the negative reciprocal of 1/3, which is -3. The equation of line b can be determined by using the slope-intercept form, y = mx + b. Substituting m = -3 and b = 0, the equation of line b is y = -3x + 0. Therefore, the equation of line b is y = -3x.

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Remi purchased approximately 150 pounds of pumpkins.

To find the number of pounds of pumpkins purchased by Remi, we can divide the total amount spent by the price per pound.

Let's assume that x represents the number of pounds of pumpkins purchased.

The total amount spent, $73.50, can be expressed as the product of the price per pound, $0.49, and the number of pounds purchased, x:

$73.50 = $0.49 × x

To solve for x, we divide both sides of the equation by $0.49:

x = $73.50 / $0.49 ≈ 150

Therefore, Remi purchased approximately 150 pounds of pumpkins.

By dividing the total amount spent by the price per pound, we found the quantity of pumpkins purchased.

In this case, Remi spent $73.50 and the price per pound was $0.49, resulting in the purchase of approximately 150 pounds of pumpkins. This information can be useful for budgeting, inventory management, and understanding consumer behavior at the local farm.

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Answer:

20 foot.....................

Answer:

one-to-one is the answer

Therefore , the solution of the given problem of unitary method comes out to be $2 for one necklace is constant of proportionality of this relationship.

After determining the size of a small slice, multiply the quantity by two to complete a task using the unitary technique. The simple expression-based unit variable technique aids in separating a coded item from a given group or collection of groups. 40 pens, for instance, would cost 400 Rs (or $1.01 or 400 pounds). It's possible that one country will have total control over the method employed to do this.

Here,

Given :

Necklaces 9 10 11 12

Cost ($) 18 20 22 24

Cost of one necklace = 18/9 =2

$2 for one necklace.

Therefore , the solution of the given problem of unitary method comes out to be $2 for one necklace is constant of proportionality of this relationship.

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Using a system of equations, it is found that the meter contains 20 dimes and 10 quarters.

For the system, the variables are:

A dime is worth $0.1 and a quarter is worth $0.25. In total, the parking meter is filled with $4.50, hence:

\(0.1x + 0.25y = 4.5\)

There are twice as many dimes as quarters, hence:

\(x = 2y\)

Then:

\(0.1x + 0.25y = 4.5\)

\(0.1(2y) + 0.25y = 4.5\)

\(0.2y + 0.25y = 4.5\)

\(0.45y = 4.5\)

\(y = \frac{4.5}{0.45}\)

\(y = 10\)

\(x = 2y = 2(10) = 20\)

There are 20 dimes and 10 quarters in the parking meter.

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The correct answer to the fill-in-the-blank is "other". This is identified by the isocost curve.

The isocost curve equation given is C = 10L + 5K, where L represents the number of employees and K represents the number of coffee machines. In this equation, the coefficient 10 represents the cost per unit of labor L and the coefficient 5 represents the cost per unit of capital K.

To determine the correct answer, we need to identify the value that satisfies the equation when plugged in for both L and K. Since the equation does not explicitly mention any specific values for L and K, we can conclude that the answer is "other" because any combination of L and K can be used.

Therefore, the correct answer is "other."

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Answer:

x=6

Step-by-step explanation:

......................

Answer:

x=6

Step-by-step explanation:

7x+2y = 48

Let y = 3

7x +2(3) = 48

7x+6 = 48

Subtract 6 from each side

7x+6-6 = 48-6

7x = 42

Divide each side by 7

7x/7 = 42/7

x = 6

The number of seconds that will pass before the planes are at the same altitude is 52 seconds.

The altitude when they're at the same altitude is 3666 feet.

An altitude simply means a vertical measure from a particular reference point such as the sea level on Earth.

Let the number of seconds be represented by s

Plane A is at an altitude of 2613 feet and is gaining altitude at 20.25 feet per second. This will be represented as 2613 + 20.25s

Plane B is just taking off and is gaining altitude at 70.5. This will be 70.5s

Equate both equations

2613 + 20.25s = 70.5s

Collect like terms

70.5s - 20.25s = 2613

50.25s = 2613

Divide

s = 2613 / 50.25

s = 52

Number of seconds = 52 seconds

The altitude at this point will be:

= 70.5s

= 70.5 × 52

= 3666 feet

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Answer:

The solution to the system of the equations be:

Step-by-step explanation:

Given the system of equations

\(2x - 3y = 9\)

\(-5x - 3y = 30\)

Solving the system of equations using the elimination method

Multiply \(2x-3y=9\) by 5:  \(10x-15y=45\)

Multiply \(-5x-3y=30\) by 2:  \(-10x-6y=60\)

\(\begin{bmatrix}10x-15y=45\\ -10x-6y=60\end{bmatrix}\)

adding the equations

\(-10x-6y=60\)

\(+\)

\(\underline{10x-15y=45}\)

\(-21y=105\)

now solving -21y = 105 for y

\(-21y=105\)

Divide both sides by -21

\(\frac{-21y}{-21}=\frac{105}{-21}\)

Simplify

\(y=-5\)

For 10x - 15y = 45 plug in y = -5

\(10x-15\left(-5\right)=45\)

Apply the rule -a(-a) = a

\(10x+15\cdot \:5=45\)

\(10x+75=45\)

Subtract 75 from both sides

\(10x+75-75=45-75\)

Simplify

\(10x=-30\)

Divide both sides by 10

\(\frac{10x}{10}=\frac{-30}{10}\)

Simplify

\(x=-3\)

Therefore, the solution to the system of the equations be:

The graph of the solution to the system of equations is also attached below.

Answer:

Option 1: AC= 3.9cm and RQ=3.9cm

Option 2: CB = QM

Step-by-step explanation:

i think because you need a side

The additional information needed to prove both triangles are congruent by AAS is any of the following:

C. AC = 3.9cm and RQ = 3.9cm

E. BC = 2.5cm and MQ = 2.5cm

Based on the AAS theorem, two triangles are proven to be congruent if two angles and one non-included side in one triangle are congruent to corresponding two angles and one non-included side in the other triangle.

From the image of the triangles, we know that two pairs of the angles, 29° and 116°, are congruent to each other in the two triangles.

For us to prove that both triangles area congruent by the AAS theorem, we will need to know either of the following: C. AC = 3.9cm and RQ = 3.9cm or E. BC = 2.5cm and MQ = 2.5cm.

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Given that when the temperature is between 35 and 50 degrees, it has historically rained 40% of the time. Also, historically, the month of April has had a temperature between 35 and 50 degrees on 25 days.

To find the probability that players will experience rain and a temperature between 35 and 50 degrees on April 12th, we will have to use the concept of conditional probability.

Conditional Probability is the probability of an event occurring given that another event has already occurred. Conditional Probability Formula: P(A|B) = P(A ∩ B) / P(B) where, P(A|B) is the probability of A given B,P(A ∩ B) is the probability of A and B, and P(B) is the probability of B.

Since the temperature between 35 and 50 degrees has historically rained 40% of the time, we can say that P(Rain | Temperature 35-50) = 0.4

Also, the probability of temperature between 35 and 50 degrees on April 12th can be calculated as P(Temperature 35-50) = 25 / 30 (as April has 30 days) = 5/6.

Using the conditional probability formula: P(Rain and Temperature 35-50) = P(Rain | Temperature 35-50) × P(Temperature 35-50)P(Rain and Temperature 35-50) = 0.4 × 5/6P(Rain and Temperature 35-50) = 0.3333 or 33.33%.

Therefore, the probability that players will experience rain and a temperature between 35 and 50 degrees on April 12th is 0.3333 or 33.33%.

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Answer:

Anna received $1000

Barbara received $600

Chrissy received $400

Step-by-step explanation:

Let us solve the problem

∵ The ratio of Anna, Barbara, and Chrissy is 5: 3: 2

∵ Barbara received $400 less than Anna

→ That means Anna - Barbara is 400, find the difference between their ratio

∵ The difference between their ratio = 5 - 3 = 2  

→ By using the ratio method

→  Anna  :  Barbara  : difference

→  5        :  3              :  2

→  A        :  B             :  400

→ By using the cross multiplication

∵ A × 2 = 5 × 400

∴ 2A = 2000

→ Divide both sides by 2

∴ A = 1000

∴ Anna received $1000

∵  B × 2 = 3 × 400

∴ 2B = 1200

→ Divide both sides by 2

∴ B = 600

∴ Barbara received $600

Let us use the ratio between Anna and Chrissy to find the amount of Chrissy

→  Anna  :  Chrissy

→  5        :   2

→  1000  :   C

→ By using cross multiplication

∵ 5 × C = 2 × 1000

∴ 5C = 2000

→ Divide both sides by 5

∴ C = 400

∴ Chrissy received $400

Answer:

the answer would be 1.57

Step-by-step explanation:

use the pythagorean theorem. hope this helps

Answer:

3x-4

Step-by-step explanation:

y=ax+b general type of the line

a is the slope

y=3x+b

put 5 instead of the x and put 11 instead of the y

11=15+b

b=(-4)

Equation is 3x-4

Answer:

2.85 x 10⁷

Step-by-step explanation:

Answer:

The value of x is 7.

Step-by-step explanation:

Answer:

Given, m = 3 and n = 4

5×3 + 4×4 – 3

15 + 16 - 3

31 - 3

28

don't forget to like and mark me

Answer:

$1.54

Step-by-step explanation:

Answer:

10 - 4y

Step-by-step explanation:

Combine like terms.  12, 21 and -23 add up to 10, and -5y + y is -4y.

Then, together, we have 10 - 4y (answer)

Answer:

\(\large\boxed{10 - 4y}\)

Step-by-step explanation:

12 - 5y + 21 + y - 23

Combine like terms (add -5y to + y)

12 + 21 - 4y - 23

Add 12 + 21

33 - 4y - 23

Subtract 23 from 33

\(\large\boxed{10 - 4y}\)

This is the simplest form of the expression.

Hope this helps :)

The length of the missing radius of the circle is found as 12 units.

For the given question;

As 16 unit line is  tangent on the circle, thus it makes 90 degrees angle with the radius of the circle.

The, the triangle formed is right angled triangle.

Using Pythagorean theorem.

H² = T² + R²

Where, H is the longest side called hypotenuse = 20 units.

T is the tangent = 16 units.

R is the radius of the circle.

Putting the values and simplifying.

R² = 20² - 16²

R² = 400 - 256

R² = 144

Taking square root both side,

r = 12 units.

Thus, the length of the missing radius of the circle is found as 12 units.

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A: The smallest increment on the voltmeter will be 10V.

B: The uncertainty of the voltmeter will be ±5V.

The device used to measure the electric potential differential between two points in an electric circuit is called a voltmeter. It is linked simultaneously. It typically has a large resistance so that it uses very little circuit current. Microvolts or less can be measured by meters that use amplification. Digital voltmeters use an analog-to-digital converter to show voltage as a numerical value.

Voltmeters come in a broad variety of designs, some powered separately and others directly from the source of the voltage being measured. Generators and other fixed equipment are monitored by instruments that are permanently installed in a panel.

The accuracy of a digital multimeter (DMM) is typically stated as a percentage of the measurement rather than the full scale reading. An actual value of 100.0V will be read as something between 99.0V and 101.0V by a metre with a specification of 1% of the measurement. A range of digits to the right of the percentage is also typically included in manufacturer specs, for example, (1%+2digits). This illustrates the number of counts that the last figure on the right can change.

In the given question,

A: The smallest increment = 100/(number of splits in the section)

                                            = 100/10 = 10V

B: The uncertainty Δx = smallest increment/2

                                    = 10/2= 5V

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The probability that the cab involved in the incident was Blue rather than Green, given that the witness identified it as Blue, is approximately 0.4138 or 41.38%.

To determine the probability that the cab involved in the incident was Blue rather than Green, we can use Bayes' theorem.

Let's define the events:

A: The cab involved in the incident was Blue.

B: The witness identified the cab as Blue.

We are given the following probabilities:

P(A) = 0.15 (15% of cabs are Blue)

P(B|A) = 0.80 (the witness correctly identified a Blue cab as Blue)

P(B|¬A) = 0.20 (the witness incorrectly identified a Green cab as Blue)

We want to calculate the probability that the cab was Blue given that the witness identified it as Blue, i.e., P(A|B).

According to Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

To calculate P(B), we need to consider the probabilities of two mutually exclusive events:

The witness identified a Blue cab correctly (event A) and

The witness identified a Green cab incorrectly (event ¬A).

Therefore, P(B) = P(B|A) * P(A) + P(B|¬A) * P(¬A)

P(¬A) = 1 - P(A) = 1 - 0.15 = 0.85 (85% of cabs are Green)

Now, we can substitute the given values into Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / (P(B|A) * P(A) + P(B|¬A) * P(¬A))

= (0.80 * 0.15) / (0.80 * 0.15 + 0.20 * 0.85)

= 0.12 / (0.12 + 0.17)

= 0.12 / 0.29

≈ 0.4138

Therefore, the probability that the cab involved in the incident was Blue rather than Green, given that the witness identified it as Blue, is approximately 0.4138 or 41.38%.

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Answer:

umm i not sure, but this is a guess because i am stuck on it too

Step-by-step explanation:

i think it is 106

The voltage across the capacitor at t=0+ is 4 volts (c \(V_c(t=0+)\) )is 4V). As time approaches infinity, the voltage across the capacitor becomes 6 volts ( \(V_c( t \to\infty)\) )is 6V). The current through the capacitor at t=0+ is -2 milliamperes ( \(i_c(t=0+)\) )is -2mA).

At t=0+, the switch opens and the circuit transitions into a new steady state. Initially, the capacitor is fully charged to 4V, so \(V_c(t=0+)\)is 4V. In the new steady state, the capacitor is connected to a series combination of R1, R2, R3, and R4. Since R1 and R2 are in series, their total resistance is 3kΩ. Thus, the time constant of the circuit is given by τ = (R1+R2+R3+R4)C = 6kΩ * 1μF = 6ms.

To determine\(V_c( t \to\infty)\) , we consider the steady state behavior of the circuit. In steady state, the capacitor acts as an open circuit. Therefore, the current flowing through R4 is zero, and the voltage drop across R4 is also zero. Thus, \(V_c( t \to\infty)\) is equal to the voltage drop across R3, which is 6V.

At t=0+, the current through R1, R2, and R3 will be the same as the current through the capacitor, ( \(i_c(t=0+)\) ). Applying Kirchhoff's current law at the node connecting R1, R2, R3, and the capacitor, we find that ( \(i_c(t=0+)\) )= I - (Vc(t=0+)/R1+R2+R3) = 4mA - (4V/3kΩ) = -2mA.

In summary, \(V_c(t=0+)\) is 4V, \(V_c( t \to\infty)\) is 6V, and \(i_c(t=0+)\)is -2mA.

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Answer:6

Step-by-step explanation:

Divide 48 by 8 and you should get 6

Answer:

6

Step-by-step explanation:

If the race car go around the track 48 times in 8 minutes, to calculate the number of times in per minute 48 should be devided by 8.

48/8

= 6