A circular garden has a diameter of 5 yards. What is the area of the garden? Use 3.14 for π.

Answer:

192 square feet of material

Step-by-step explanation:

You find the area of the pool, which is length x width, and that is 12 x 16, which is equal to 192

I hope this helps!

Answer:

16 x 12=192

Step-by-step explanation:

Answer:

m<PQR = 82°

Step-by-step explanation:

In a Rhombus, the diagonals bisect its angles. This means that they divide each the four angles into two equal parts.

Therefore:

(4x - 27)° = (2x + 7)°

Solve for x

4x - 27 = 2x + 7

Collect like terms

4x - 2x = 27 + 7

2x = 34

Divide both sides by 2

2x/2 = 34/2

x = 17

✔️m<PQR = (4x - 27) + (2x + 7)

Plug in the value of x

m<PQR = (4*17 - 27) + (2*17 + 7)

m<PQR = 41 + 41

m<PQR = 82°

Answer:

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

Taking the inverse tangent (arctan) of the given ratio 7/9.

Use a calculator or trigonometric table to find:

The approximate value of θ is 37.9°.

To solve the pair of equations graphically: A. find the point of intersection of the two lines, y = -3x + 5 has a slope of -3, and y-intercept of 5, and y = x + 2 has a slope of 1, and y-intercept of 2.

To solve for the pair of equations graphically, you have to plot each of the line of each equation on a coordinate plane, then find the coordinates of the point where both lines intersect each other.

The point of intersection is the solution to the system of equations that both lines represent.

Given the equations:

y = -3x + 5 --> eqn. 1

y = x + 2 --> eqn. 2

The slope of the line of y = -3x + 5 is -3, while the y-intercept is 5.

The slope of the line of y = x + 2 is 1, while the y-intercept is 2.

Thus, the red line in the image is the graph of y = -3x + 5, while the blue is for y = x + 2.

The point of intersection, which is the solution is: (075, 2.75).

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The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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Answer:

Option B, would be the correct answer: 75 labels per minute

Step-by-step explanation:

The number of labels produced per minute would be a constant value which would be the slope of this graph represented above.

Slope = \(\frac{rise}{run}\)

Slope = \(\frac{150}{2}\)

Slope = 75

Hope this helps!

Answer:

(2,0)

Step-by-step explanation:

The minimum is 4 units from the x intercept on the x axis.

Since this is a quadratic, values on the same y should be equidistant from the min or max on the x axis.

6+4=10

6-4=2

The other x intercept is at (2,0)

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Step-by-step explanation:

the slope = -½

the equation :

y-3 = -½(x-3)

y-3 = -½x + 3/2

y = -½x + 3/2 +3

y = -½x + 9/2

Part a: The data points appear to follow an exponential pattern. This is because the balance is increasing at a rate that is proportional to the current balance.

Part b: The equation of the best fit is y = 50(1.06)^x. This can be found using a variety of methods, including graphing the data points and fitting a curve to them, or using a statistical software package.

Part c: When x = 32, y = 50(1.06)^32 = $2,499.82.

Years since 1990, x 0 5 10 15 20 25 30

Balance, y $50 $62.31 $77.65 $96.76 $120.59 $150.27 $187.27 $2,499.82

The equation of the fitted curve is y = 50(1.06)^x.

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The length of the longest leg in the right triangle is 5 units

Let x be the length of the shortest leg. Then the other leg has length x + 1, and the hypotenuse has length x + 2.

By the Pythagorean Theorem, we have:

x^2 + (x + 1)^2 = (x + 2)^2

Set x = 3

So, we have

3^2 + (3 + 1)^2 = (3 + 2)^2

Evaluate

25 = 25

The above equation is trie

So, we have

Longest = x + 2

Longest = 3 + 2

Evaluate

Longest = 5

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Answer:

The value of n:

Step-by-step explanation:

Given that the line has slope 6.

i.e. m = 6

The line includes the points

Using the formula to find the slope of the points

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

\(\left(x_1,\:y_1\right)=\left(n,\:1\right),\:\left(x_2,\:y_2\right)=\left(8,\:5\right)\)

\(m=\frac{4}{8-n}\)

as

m = 6

substituting m = 6

\(6=\frac{4}{8-n}\)

\(6\left(8-n\right)=4\)

Divide both sides by 6

\(\frac{6\left(8-n\right)}{6}=\frac{4}{6}\)

\(8-n=\frac{2}{3}\)

subtract 8 from both sides

\(8-n-8=\frac{2}{3}-8\)

simplify

\(-n=-\frac{22}{3}\)

Divide both sides by -1

\(\frac{-n}{-1}=\frac{-\frac{22}{3}}{-1}\)

\(n=\frac{22}{3}\)

Therefore, the value of n:

In given fractions 8/9 is 1/36 large than 31/36

Finding the larger and smallest fraction in between two or more fractions is known as comparing fractions.

We need to change fractions with unlike denominators into fractions with similar denominators in order to compare them. For this, we will find the denominators' Least Common Multiple (LCM).    

If the denominators are the same then it is easy to compare the fractions.

Here we have

31/36 and 8/9

To find the largest fraction convert both denominators into the same  

Here LCM(36, 9) = 36  

Now multiply both numerator and denominators of fractions with a number to change the denominators  

=> \(\frac{31}{36} \times \frac{1}{1} = \frac{31}{36}\)  

=> \(\frac{8}{9} \times \frac{4}{4} = \frac{32}{36}\)  

From the above calculations given fractions are 31/36 and 32/36

Difference = \(\frac{32}{36} - \frac{31}{36} = \frac{1}{36}\)  

Therefore,

In given fractions 8/9 is 1/36 large than 31/36

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Let's create an equation to find the # of weeks until Chad learns 937 pieces.

x = # of weeks

937 = 2x + 805

Subtract 805 from both sides.

132 = 2x

Divide both sides by 2

66 = x

Chad will need 66 weeks of lessons to learn 937 pieces.

Answer:

14.69% probability that defect length is at most 20 mm

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 28, \sigma = 7.6\)

What is the probability that defect length is at most 20 mm

This is the pvalue of Z when X = 20. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{20 - 28}{7.6}\)

\(Z = -1.05\)

\(Z = -1.05\) has a pvalue of 0.1469

14.69% probability that defect length is at most 20 mm

Step-by-step explanation:

yes, the step is correct.

a² = cx | multiply by c

ca² = c²x

I am just not sure how that simplified the equation.

what do you want to achieve ? what's the goal here ?

to solve the equation for x it would be to divide both sides by c, which gives

a²/c = x

The value of the expressions 7^-2 x 7^5 x 7^-3 is 1.

Expressions that are equivalent do the same thing even though they have different appearances. When we enter the same values for the variable, two algebraic expressions that are equivalent have the same values. Using the equality (=) sign, equivalent expressions are represented.

Since the values of both expressions remain the same for any value of x, the expressions 3(x + 2) and 3x + 6 are equivalents. When values are substituted for the variable and both expressions yield the same result, you can also tell if two expressions are equivalent.

An exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 5³, 3 is the exponent and 5³ is called 5 raise to the power of 43.

The value of the expression will be:

= 7^-2 x 7^5 x 7^-3

= 7^(-2 + 5 - 3)

= 7^0

= 1

In conclusion, the value is 1.

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Answer:

19.228

Step-by-step explanation:

multiply 2.2*2.3*3.8 to get 19 yd^3

The percentage of students who have disabilities in both reading and math is 20%.

The percentage of students who have disabilities in both reading and math refers to the proportion of students who are identified as having a disability in both reading and math. This means that these students require additional support and accommodations to help them succeed academically. Among the total number of students, 20% of them have disabilities in both reading and math.

Students with disabilities in reading and math may struggle with comprehension, fluency, or other aspects of these subjects. They may require specialized instruction, such as one-on-one tutoring, assistive technology, or modifications to classroom materials or assessments, in order to fully participate in the curriculum.

It is important for schools and educators to identify students who have disabilities in both reading and math early on and provide them with the necessary support and accommodations to help them succeed. This can help to ensure that these students are able to access high-quality education and achieve their full potential, despite their disabilities.

The complete question is

Which of the following represents the percentage of students who have disabilities in both reading and math?

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The linear regression model gives mathematical relationship between two variables, the dependent and independent variables. The linear models between the quantity sold and the variables average price, disposable income and monthly advertising are :

To create a linear model using the data given, we use technology such as a excel or a linear regression calculator :

The linear model created using a linear regression calculator between each of the independent variables and quantity sold are :

Average price of deep - dish and Quantity sold :

y = - 4713.46x + 117763

Disposable income and Quantity sold :

y = 2.94x - 58384

Monthly advertising expenditure and Quantity sold :

y = - 1.75x - 32655

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Answer:

4.29  (nearest hundredth)

Step-by-step explanation:

Given data set:

To find the mean absolute deviation:

Step 1

Calculate the mean:

\(\textsf{Mean}=\dfrac{15+5+12+14+18+16+4}{7}=12\)

Step 2

Calculate the absolute deviations - how far away each data point is from the mean using positive distances.

\(\begin{array}{c|c}\vphantom{\dfrac12} \sf Data \; point & \sf Distance \; from \; mean\\\cline{1-2} \vphantom{\dfrac12} 15 & |15-12|=3\\\vphantom{\dfrac12} 5 & |5-12|=7\\\vphantom{\dfrac12} 12 & |12-12|=0\\\vphantom{\dfrac12} 14 & |14-12|=2\\\vphantom{\dfrac12} 18 & |18-12|=6\\\vphantom{\dfrac12} 16 & |16-12|=4\\\vphantom{\dfrac12} 4 & |4-12|=8\end{array}\)

Step 3

Add the absolute deviations together:

\(\implies 3+7+0+2+6+4+8=30\)

Step 4

Divide the sum of the absolute deviations by the number of data points:

\(\implies \dfrac{30}{7}=4.29\)

Answer:

2 13/16

Step-by-step explanation:

1 15

16

+

7

8

=  (1 + 0) + (

15

16

+

7

8

)

=  1 +

15

16

+

7 × 2

8 × 2

=  1 +

15

16

+

14

16

=  1 +

15 + 14

16

=  1 +

29

16

=  1 +

1 13

16

=  

2 13

16

Answer:

Step-by-step explanation:

a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.

The equation that represents the given information is:

2.50x + 3.75y = 222.50

b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.

Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.

Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):

2.50(40) + 3.75y = 222.50

100 + 3.75y = 222.50

3.75y = 222.50 - 100

3.75y = 122.50

y = 122.50 / 3.75

y ≈ 32.67

In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.

We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.

Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.

Answer: 44$

Step-by-step explanation: If Chris had 32$ after spending half on video games then earned 10$, This means Chris had 44$ in his savings before he spent any.

1. 0.5 x 44= 22  

2. 22+ 10= 32

The number of tins that Jane needs to buy is 8.

The area of a given figure is the space that the shape will cover when considered in a 2 dimensional plane. To determine the area of a figure, the type and parts of the figure are to be considered.

Given that the area of the garden fence = 46 m^2

Then, 1 liter of paint will cover 12 m^2. So that;

number of liters required = 46/ 12

                                          = 3.83

Since a tin contains half a liter of paint, then;

the number of tins that Jane needs = 2*3.83

                                                           = 7.66

Jane has to buy 8 tins to paint the garden fence.

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The number of tins that Jane needs to buy is 8.

The area of a given figure is the space that the shape will cover when considered in a 2 dimensional plane. To determine the area of a figure, the type and parts of the figure are to be considered.

Given that the area of the garden fence = 46 m^2

Then, 1 liter of paint will cover 12 m^2. So that;

number of liters required = 46/ 12

                                          = 3.83

Since a tin contains half a liter of paint, then;

the number of tins that Jane needs = 2*3.83

                                                           = 7.66

Jane has to buy 8 tins to paint the garden fence.

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The probability that the employee will arrive between 8:05 a.m. and 8:45 a.m. is 0.8, or 80% when expressed as a percentage.

To find the probability that the employee will arrive between 8:05 a.m. and 8:45 a.m., we need to calculate the proportion of the total possible time range between 8:00 a.m. and 8:50 a.m. that falls within the specified time interval.

The total time range between 8:00 a.m. and 8:50 a.m. is 50 minutes (8:50 - 8:00 = 50). The time interval between 8:05 a.m. and 8:45 a.m. is 40 minutes (8:45 - 8:05 = 40).

So, the probability that the employee will arrive between 8:05 a.m. and 8:45 a.m. is:

Probability = (Time interval between 8:05 a.m. and 8:45 a.m.) / (Total time range between 8:00 a.m. and 8:50 a.m.)

Probability = 40 minutes / 50 minutes

Probability = 0.8

Therefore, the probability that the employee will arrive between 8:05 a.m. and 8:45 a.m. is 0.8, or 80% when expressed as a percentage.

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Answer:

15 miles

Step-by-step explanation:

Answer:

1. a7

2.b4

Step-by-step explanation:

Answer: