the standard height from the floor to the bull's-eye at which a standard dartboard is hung is 5 feet 8 inches. a standard dartboard is 18 inches in diameter. suppose a standard dartboard is hung at standard height so that the bull's-eye is 12 feet from a wall to its left. brian throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5 feet above the floor. does brian's dart land on the dartboard? drag the choices into the boxes to correctly complete the statements.

Answer:

>

Step-by-step explanation:

The bars around the numbers symbolize absolute value. The absolute value of a number is its distance from 0. Since distance is always positive the absolute value is that number but positive. In this case, 7 is greater than 2. So, the answer is 7>2.

The arc length of the circle with radius 16m and central angle 50 degrees is 13.9m

According to the given question.

The radius of the circle = 16m

Central angle, θ = 50 degrees

As, we know that the arc length of the circle, s with the radius r and central angle θ by using the formula

s = θ × (π /180)r

Therefore, the arc length of the circle with radius 16m and central angle 50 degrees is given by

s = 50 × ( 3.14/180) 16

⇒ s = 50 × 0.0174 × 16

⇒ s = 13.9 m

Hence, the arc length of the circle with radius 16m and central angle 50 degrees is 13.9m.

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Answer:

(x,y) —> (–1 ,1)

I hope I helped you ^_^

Answer:

x = 574 and x = - \(\frac{3}{4}\)

Step-by-step explanation:

(1)

0.25x = 143.5 ( isolate x by dividing both sides by 0.25 )

x = 574

(2)

- 4x + \(\frac{1}{2}\) = 3 \(\frac{1}{2}\) ( subtract \(\frac{1}{2}\) from both sides )

- 4x = 3 ( divide both sides by - 4 )

x = - \(\frac{3}{4}\)

x = 574, How did I get this answer? I simply divided 143.5 by 0.25 and you get 574, which will be the missing number (also known as x.)

But, before you write this down as your answer - how can we check if 574 is correct?

Well we're going to have to do the reverse of dividing, which'll be multiplying.

Multiply 0.25 by 574! (It does equal 143.5), Therefore, you have checked your answer and now you know it is correct.

This equation simplifies to \(\frac{2x-1}{4} = \frac{7}{2}\). Let's go on ahead and figure this problem out step-by-step!

First, we have to cross multiply. As shown here:

(2x-1) × (2) = 7 × 4x

4x - 2 = 28x

After that, we're going to have to subtract 28x from both sides of the equation.

4x - 2 - 28x = 28x - 28x

-24x - 2 = 0

Next, add 2 to both of the sides.

-24x - 2 + 2 = 0 + 2

- 24x = 2

On your last step before finding out what x is, the final thing we've got to do is divide both sides by -24.

\(\frac{-24x}{24} = \frac{2}{-24}\)

x = \(\frac{-1}{12}\). This is your solution for #2.

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Answer:

t = 7 seconds

Step-by-step explanation:

The height of a rocket x seconds after it is launched from a hill that is 224 feet high is modeled by the function :

f (x) = -16x² + 80x + 224

We need to find how long does it take the rocket to hit the ground. At that point,

f(x) = 0

\(-16x^2 + 80x + 224=0\\\\\dfrac{-16x^2}{16}+\dfrac{80x}{16}+\dfrac{224}{16}=0\\\\-x^2+5x+14=0\\\\-x^2+(7-2)x+14=0\\\\-x^2+7x-2x+14=0\\\\x(-x+7)+2(-x+7)=0\\\\(x+2)(-x+7)=0\\\\x=-2\ \text{and}\ x=7\)

Neglecting -2. Hence, the rocket will take 7 seconds to hit the ground.

Answer:

(-2,3/2)

Step-by-step explanation:

The formula for midpoint = (x1 + x2)/2, (y1 + y2)/2. Substituting in the two x coordinates and two y coordinates from the endpoints.

One statistical indicator that can help determine the trustworthiness of data is the margin of error. It provides a measure of the uncertainty associated with the data and helps assess the reliability of estimates.

The margin of error is a statistical indicator that quantifies the range of potential error in an estimate or survey result. It is typically calculated based on sample size and variability in the data. A smaller margin of error indicates a higher level of confidence in the estimate, implying that the data is more trustworthy.
When conducting surveys or data analysis, it is important to consider the margin of error to understand the potential variability and ensure that the data represents the population accurately. A lower margin of error indicates that the estimate is more precise and reliable.
Additionally, other statistical indicators such as confidence intervals, p-values, and statistical significance tests can also provide insights into the reliability of the data. These indicators help assess the likelihood that the observed results are not due to random chance or sampling error.
Overall, a combination of statistical indicators, including the margin of error, can provide evidence of data trustworthiness by evaluating the precision, reliability, and statistical significance of the estimates.

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Answer:

12.73 mins

Step-by-step explanation:

velocity: 9.9 mi/h

distance: 2.1 mi

d=vt

t = d/v = 2.1/9.9 = 0.21h

convert to minutes: 2.1/9.9 x 60 = 12.73 min

Answer:

12 cups of juice

Step-by-step explanation:

its 3 times the lime soda so it would be 3 times the juice

There are 55 sophomores taking French II and Chemistry I.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

According to the given information, the required solution would be as:

First, we need to find the number of sophomores taking French II, Chemistry  I, or both:

⇒ 1/3 × 465

Apply the multiplication operation, and we get

⇒ 155

Of the 155 sophomores, 40 are taking only French II and 60 are taking only Chemistry I:

⇒ 155 - 40 - 60

⇒ 155 - 100

Apply the subtraction operation, and we get

⇒ 55

Thus, there are 55 sophomores taking French II and Chemistry I.

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Answer:

7

Explanation:

The cardinality of a set is the number of elements in the set

Given the set W = {x | x is a day of the week}

The days of the week are {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

Hence the set W will be;

W = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

n(W) = 7 (since there are 7 days in a week)

Hence the cardinality of the set W is 7

Answer:

True

Step-by-step explanation:

Vertical angles should always be congruent.

I hope this helps

if you could, feel free to mark me Brainliest it would be much appreciated :D

The statement "if two angles are vertical, then they are congruent" is true.

Vertical angles are formed when two lines intersect.

When two lines intersect, they create four angles at the intersection point.

Vertical angles are the angles that are opposite each other when two lines intersect.

These angles have equal measures, which means they are congruent.

If there are two vertical angles, their measures will be the same, and therefore, they are congruent.

Hence, the statement "if two angles are vertical, then they are congruent" is true.

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Answer:

see below

Step-by-step explanation:

4.2 x 10^6 − 1.2 x 10^5 − 2.5 x 10^5

All exponent have to have the same number

42 x 10^5 − 1.2 x 10^5 − 2.5 x 10^5

Subtract the number

42 - 1.2 - 2.5 = 38.3

Add back the exponent

38.3 * 10 ^5

This is not in scientific notation

Move the decimal one place to the left and add one to the exponent

3.83 * 10^6

3.3 x 10^9 + 2.6 x 10^9 + 7.7 x 10^8

All exponent have to have the same number

3.3 x 10^9 + 2.6 x 10^9 + .77 x 10^9

Add the numbers

3.3+2.6+.77 =6.67

Add back the exponent

6.67*10^9

This is in scientific notation

8.0 x 10^4 − 3.4 x 10^4 − 1.2 x 10^3

All exponent have to have the same number

8.0 x 10^4 − 3.4 x 10^4 − .12 x 10^4

Subtract

8.0 - 3.4 - .12 = 4.48

Add back the exponent

4.48* 10^4

This is in scientific notation

Answer:

Step-by-step explanation:

First find the LCM and it is going to be 18.

The angles using trigonometric ratios are:

1) 54.8°

2) 36.7°

3) 62.2°

4) 23.2°

5) 45°

6) 33.6°

7) 54.3°

8) 32.6°

There are three primary trigonometric ratios and they are:

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

Using trigonometric ratios, we have:

1) θ = sin⁻¹(9.8/12)

θ = 54.8°

2) θ = tan⁻¹(12/15)

θ = 36.7°

3) θ = cos⁻¹(7/15)

θ = 62.2°

4) θ = tan⁻¹(6/14)

θ = 23.2°

5) θ = tan⁻¹(5/5)

θ = 45°

6) θ = cos⁻¹(5/6)

θ = 33.6°

7) θ = cos⁻¹(7/12)

θ = 54.3°

8) θ = sin⁻¹(7/13)

θ = 32.6°

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The Ratios are equivalent to 2:3 ,Therefore, the correct answer is:

6 to 9 ,8 to 12,4/6

The ratios are equivalent to 2:3, we need to simplify each ratio and check if it equals 2:3.

Let's simplify each ratio:

12 to 36: Divide both numbers by their greatest common divisor (GCD), which is 12.

Simplified ratio: 1 to 3

6 to 9: Divide both numbers by their GCD, which is 3.

Simplified ratio: 2 to 3

10/18: Simplify the fraction by dividing both numerator and denominator by their GCD, which is 2.

Simplified ratio: 5/9

8 to 12: Divide both numbers by their GCD, which is 4.

Simplified ratio: 2 to 3

16 to 20: Divide both numbers by their GCD, which is 4.

Simplified ratio: 4 to 5

4/6: Simplify the fraction by dividing both numerator and denominator by their GCD, which is 2.

Simplified ratio: 2/3

From the simplified ratios, we can see that 6 to 9, 8 to 12, and 4/6 are all equivalent to 2:3. Therefore, the correct answer is:

6 to 9

8 to 12

4/6

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Area between the lines = 57.5 sq.units

Whats is the area under a curve?

Area under a curve is the area enclosed by the curve and one of the axes      .

from plotting the graphs the area enclosed is found to be a trapezium.

Area of trapezium = (a+b)*h/2

where a and b are the parallel sides and h is the distance between them.

here a = distance between points 2,2 and 10,2 = 8 units

and b = distance between points (0,-3) and (15,-3) = 15 units

and h = distance between the parallel lines y=2 and y= -3   = 5 units.

hence area = (8+15)*5/2 = 57.5 sq units.

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Answer:
20.02

If this help please set brainliest.

Explain:

If you increase the number 14 by 43%, you would get
14 + (14 * 43%) = 14 + 6.02 = 20.02.

To find the bases for each of the eigenspaces of the given matrix, we first need to find the eigenvalues by solving the characteristic equation. Once we have the eigenvalues, we can find the corresponding eigenvectors. The eigenvectors associated with each eigenvalue form the basis for the corresponding eigenspace.

The given matrix is  \(\[A = \begin{bmatrix}1 & 1 & 0 \\ 9 & 1 & 0 \\ 0 & 4 & 1\end{bmatrix}\]\). To find the eigenvalues, we solve the characteristic equation \(\(\det(A - \lambda I) = 0\)\), where I is the identity matrix and \(\(\lambda\)\) is the eigenvalue.

\(\[\det(A - \lambda I) = \begin{vmatrix}1 - \lambda & 1 & 0 \\ 9 & 1 - \lambda & 0 \\ 0 & 4 & 1 - \lambda\end{vmatrix} = 0\]\)

Expanding the determinant, we get the characteristic equation

\(\((1 - \lambda)((1 - \lambda)(1 - \lambda) - (4 \cdot 0)) - (9 \cdot 1 - \lambda \cdot 0) = 0\)\).

Simplifying further, we obtain the characteristic equation

\(\((1 - \lambda)((1 - \lambda)^2 - 0) - 9 = 0\)\).

Expanding and rearranging the terms, we have \(\((1 - \lambda)^3 - 1 = 0\)\).

Solving this equation, we find three eigenvalues: \(\(\lambda_1 = 1\)\) with algebraic multiplicity 3, \(\(\lambda_2 = 0\)\) with algebraic multiplicity 0, and \(\(\lambda_3 = -1\)\) with algebraic multiplicity 0.

Next, we find the eigenvectors associated with each eigenvalue. For \(\(\lambda_1 = 1\)\), we solve the system \(\((A - \lambda_1 I)v_1 = 0\)\) to find the eigenvector \(\(v_1\)\). Substituting \(\(\lambda_1 = 1\)\) and solving, we find that the eigenvector \(\(v_1\)\) is a multiple of \(\([1, -9, 4]^T\)\). Therefore, the basis for the eigenspace corresponding to \(\(\lambda_1\) is \(\{[1, -9, 4]^T\}\)\).

Since \(\(\lambda_2 = 0\) and \(\lambda_3 = -1\)\) have algebraic multiplicity 0, there are no corresponding eigenvectors. Hence, the bases for the eigenspaces corresponding to \(\(\lambda_2\) and \(\lambda_3\)\) are empty sets.

In summary, the basis for the eigenspace corresponding to \(\(\lambda_1 = 1\) is \(\{[1, -9, 4]^T\}\)\), and the eigenspaces corresponding to \(\(\lambda_2 = 0\) and \(\lambda_3 = -1\)\) have empty bases.

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Or,-145-(-278) (minus minus plus)

-145+278

133

Answer:

your answer to your math problem is 133

Step-by-step explanation:

a.)the initial estimate of the number of passengers infected with greyscale is -150.

b.) there is no maximum point for the infection rate in this case.

a. To estimate the initial number of passengers infected with greyscale, we need to find the value of g(t) when t is close to 0. However, since the function provided does not explicitly state the initial condition, we can assume that it represents the cumulative number of passengers infected with greyscale over time.

Therefore, to estimate the initial number of infected passengers, we can calculate the limit of the function as t approaches negative infinity:

lim(t→-∞) g(t) = lim(t→-∞) (-150/(1+e^(5-0.5t)))

As t approaches negative infinity, the exponential term e^(5-0.5t) will tend to 0, making the denominator 1+e^(5-0.5t) approach 1.

So, the estimated initial number of passengers infected with greyscale would be:

g(t) ≈ -150/1 = -150

Therefore, the initial estimate of the number of passengers infected with greyscale is -150. However, it's important to note that negative values do not make sense in this context, so it's possible that there might be an error or misinterpretation in the given function.

b. To find when the infection rate of greyscale is the greatest, we need to determine the maximum point of the function g(t). Since the function represents the cumulative number of infected passengers, the infection rate can be thought of as the derivative of g(t) with respect to t.

To find the maximum point, we can differentiate g(t) with respect to t and set the derivative equal to zero:

\(g'(t) = 150e^{(5-0.5t)(0.5)}/(1+e^{(5-0.5t))^{2 }}= 0\)

Simplifying this equation, we get:

\(e^{(5-0.5t)(0.5)}/(1+e^{(5-0.5t))^2} = 0\)

Since the exponential term e^(5-0.5t) is always positive, the denominator (1+e^(5-0.5t))^2 is always positive. Therefore, for the equation to be satisfied, the numerator (0.5) must be equal to zero.

0.5 = 0

This is not possible, so there is no maximum point for the infection rate in this case.

In summary, the infection rate of greyscale does not have a maximum point according to the given function. It's important to note that the absence of a maximum point may be due to the specific form of the function provided, and it's possible that there are other factors or considerations that could affect the infection rate in a real-world scenario.

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Researchers must use experiments to determine whether causal relationships exist between variables.

Experiments are an essential tool in research to investigate causal relationships between variables. While other research methods, such as correlational studies, can identify associations between variables, experiments provide a stronger basis for establishing cause-and-effect relationships. In an experiment, researchers manipulate an independent variable and observe the effects on a dependent variable while controlling for potential confounding factors. The use of experiments allows researchers to establish a level of control over the variables under investigation. By randomly assigning participants to different conditions and manipulating the independent variable, researchers can examine the effects on the dependent variable while minimizing the influence of extraneous factors. This control enables researchers to determine whether changes in the independent variable cause changes in the dependent variable, providing evidence of a causal relationship. Experiments also allow researchers to apply rigorous designs, such as double-blind procedures and randomization, which enhance the validity and reliability of the findings. Through systematic manipulation and careful measurement, experiments provide valuable insights into the nature of relationships between variables and help researchers draw more robust conclusions about cause and effect.

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Answer: The value of G = 4.5

Step-by-step explanation:

As per given,

\(G\propto \dfrac{j^2}{m}\)

When we replace proportional sign with an equal to sign, we get

\(G=k\dfrac{j^2}{m}\), where k = constant

If G=0.05 when j = 0.4 and m=1.6, then

\(0.05=k\dfrac{0.4^2}{1.6}\\\\ 0.05=k(0.1)\\\\ k=0.5\)

Now,

\(G=0.5\dfrac{j^2}{m}\\\\\Rightarrow\ G=0.5\dfrac{6^2}{4}\\\\\Rightarrow\ G=4.5\)

hence, when j =6 and m=4, the value of G = 4.5

answer 12

Step-by-step explanation:

you just multiply

The largest number of participants at the concert was 4.

To determine the largest number of participants at the concert, we need to find the least common multiple (LCM) of 1050, 1575, and 3150. The LCM is the smallest positive integer that is a multiple of all three numbers.

The prime factorization of 1050 is 2 * 3 * 5 * 5 * 7.

The prime factorization of 1575 is 3 * 5 * 5 * 11.

The prime factorization of 3150 is 2 * 3 * 5 * 5 * 7 * 11.

The LCM of 1050, 1575, and 3150 is therefore 2 * 3 * 5 * 5 * 7 * 11 = 31500.

Since each participant received one of each item, the largest number of participants at the concert was

31500 / (1050 + 1575 + 3150) = 31500 / 7775 = 4.

Therefore, the largest number of participants at the concert was 4.

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Answer:

The distance between C and D is 4.2768 inches.

Step-by-step explanation:

As from A to B the distance is 5.625 inches and actual is 1688 miles

so,

1 mile = 5.625/1688 = 0.0033 inches

So, the distance between C and D is 1296 miles

= 1296 x 0.0033 inches = 4.2768 inches  

The probability that the sample mean would differ from the population mean by greater than 3 millimetres is 0.0033 + 0.0033 = 0.0066, rounded to four decimal places.

We are given that the population mean diameter of the steel bolts manufactured by Thompson and Thompson is μ = 137 millimeters and the variance is = 49.

We need to find the probability that the sample mean would differ from the population mean by greater than 3 millimeters.

The standard deviation of the sample means is given by the formula:

\(\sigma_{\bar{x}} = \frac{\sigma}{{\sqrt{n}}}\)

Substituting the given values, we have:

\(\sigma \bar{x}=\frac{\sqrt{49}}{\sqrt{48}}=1.118\)

To find the probability that the sample mean would differ from the population mean by greater than 3 millimeters,

we need to calculate the z-score:

\(z=\frac{(\bar{x}-\mu)}{ \sigma _{\bar{x}}}\)

Substituting the given values, we have:

\(z=\frac{\bar{x}-137}{1.118}\)

We want to find the probability that |z| > 3/1.118 = 2.683.

Using a standard normal distribution table, we find that the probability of z > 2.683 is 0.0033.

Since this is a two-tailed test, the probability of z < -2.683 is also 0.0033.

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The below would be most important Algebra 1 Formulas for CST.

Linear Equation:

\(Ax + By + C = 0\)

Equation of Straight Line or Slope:

\(y = mx+b\)

Point-slope form:

\(y-y_{1} = m(x-x_1)\)

Slope when 2 points are given:

\(m = \frac{(y_2 - y_1)}{(x_2-x_1)}\)

Quadratic Equation:

\(Ax^2 + Bx +C = 0\)

When lines are parallel:

Slope of both lines are equal. \(m_1 = m_2\)

When lines are perpendicular:

Slope of perpendicular lines are opposite reciprocals, meaning if the slope of a line \(l_1\) is \(\frac{1}{2}\). The line \(l_2\) perpendicular to \(l_1\) is \(-\frac{2}{1}\).

Work Formula:

Total Work Done = Number of Days \(\times\) Efficiency

where Efficiency is inversely proportional to Time Taken.

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