7)Kevin paid $88.45 for a new pair of clippers. This
amount includes a tax of 7%. The cost of the new
pair of clippers before tax is?

The median of the given list of numbers is 87.

To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.

If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

First, let's arrange the numbers in ascending order:

65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680

There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.

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Answer:

The equation is a conditional.

y = 7.5

Step-by-step explanation:

y - 11 + 3y = 6y + 4

4y - 11 = 6y + 4

4y - 4y - 11 = 6y - 4y + 4

- 11 = 2y + 4

- 11 - 4 = 2y + 4 - 4

2y = - 15

2y ÷ 2 = - 15 ÷ 2

y = - 7.5

1. The frequency of the simple harmonic motion is approximately 1.53 radians/second.

2. The period of the motion is approximately 0.653 seconds.

3.  The amplitude is 0.6 meters.

4.  The amplitude of the motion when the mass is released with an initial velocity of 0.4 meters/sec is approximately 0.261 meters.

5. The amplitude of the motion when the mass is displaced 0.6 meters from the equilibrium position and released with an initial velocity of 0.4 meters/sec is approximately 0.652 meters.

6. The maximum velocity in this case is 0.652 m/s.

1. To find the frequency (ω) of the simple harmonic motion, we can use the formula:

ω = √(k/m)

where k is the spring constant and m is the mass. Plugging in the given values:

m = 3 kg

k = 7 N/m

ω = √(7 N/m / 3 kg)

= √(7/3) rad/s

≈ 1.53 rad/s

Therefore, the frequency of the simple harmonic motion is approximately 1.53 radians/second.

2. The period (T) of the motion is the inverse of the frequency:

T = 1 / ω

= 1 / 1.53 rad/s

≈ 0.653 seconds

Therefore, the period of the motion is approximately 0.653 seconds.

3. For a simple harmonic motion, the amplitude (A) is equal to the maximum displacement from the equilibrium position. In this case, the mass is displaced 0.6 meters from its equilibrium position, so the amplitude is 0.6 meters.

4. If the mass is released from the equilibrium position with an initial velocity of 0.4 meters/sec, the amplitude (A) of the motion can be calculated using the formula:

A = |v₀| / ω

where v₀ is the initial velocity and ω is the angular frequency. Plugging in the given values:

v₀ = 0.4 m/s

ω = 1.53 rad/s

A = |0.4 m/s| / 1.53 rad/s

≈ 0.261 meters

Therefore, the amplitude of the motion when the mass is released with an initial velocity of 0.4 meters/sec is approximately 0.261 meters.

5. If the mass is both displaced 0.6 meters from the equilibrium position and released with an initial velocity of 0.4 meters/sec, we need to consider the combined effect. In this case, the amplitude (A) can be calculated using the formula:

A = √(x₀² + (v₀ / ω)²)

where x₀ is the initial displacement, v₀ is the initial velocity, and ω is the angular frequency. Plugging in the given values:

x₀ = 0.6 meters

v₀ = 0.4 m/s

ω = 1.53 rad/s

A = √((0.6 m)² + (0.4 m/s / 1.53 rad/s)²)

≈ √(0.36 + 0.0659)

≈ √0.4259

≈ 0.652 meters

Therefore, the amplitude of the motion when the mass is displaced 0.6 meters from the equilibrium position and released with an initial velocity of 0.4 meters/sec is approximately 0.652 meters.

6. The maximum velocity occurs when the displacement is maximum, which is equal to the amplitude (A). Therefore, the maximum velocity in this case is 0.652 m/s.

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Answer:

12g and 12g

Step-by-step explanation:

5g + 7g = 12g

g(5+7) = g(12) = 12g

The number of cans required to paint an area of 2000 square units is equal to 5 cans.

As given in the question,

Total area to be painted is equal to 2000 square units.

Area covered by one can of paint is equal to 400 square units

400 square units = 1 can of paint

⇒ 1 square units = ( 1 / 400 ) cans of paint

⇒ 2000 square units =  ( 2000 / 400 ) cans of paint

⇒ 2000 square units = 5 cans of paint

Therefore, the number of cans required to paint an area of 2000 square units using given can is equal to 5 cans.

The above question is incomplete, the complete question is:

How many cans of paint are needed to cover an area of 2000 square units if one can of paint covers in area 400 square units?

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Answer:

Area = 6. 76 square cm

Explanation

Each side of the square = 2.6 cm

Area of a square = s^2

Where s = 2.6cm

Area = 2.6^2

Area = 6.76 square cm

Therefore, the area of the square is 6. 76 square cm

Step-by-step explanation:

QR = ST

⅔x = 0.4

times 3

2x = 1.2

x = 1.2 /2

x = 0.6

0.6

QR = ST

⅔x = 0,4 × 3

2x = 1.2

x = 1.2 ÷ 2

x = 0.6

Answer:

It is being multiplied by 6 each time.

Step-by-step explanation:4x6, 24x6

By definition, the x-coordinate of the terminal point is equal to cos t and the y-coordinate is equal to sin t. This allows us to easily find the values of sin t and cos t. To find tan t, we use the formula tan t = sin t / cos t, which we can substitute with our previously found values for sin t and cos t.

First need to understand what is meant by the terms "terminal point" and "unit circle". The unit circle is a circle with a radius of 1, centered at the origin of the coordinate plane. The terminal point is the point where the circle intersects with a line that starts at the origin and passes through an angle t measured in radians.
To find sin t and cos t, we need to look at the coordinates of the terminal point. Let's call the x-coordinate of the terminal point x' and the y-coordinate y'. By definition, x' = cos t and y' = sin t. Therefore, sin t = y' and cos t = x'.
To find tan t, we use the formula tan t = sin t / cos t. Substituting in our values for sin t and cos t, we get:
tan t = y' / x'
So, to summarize:
- sin t = y'
- cos t = x'
- tan t = y' / x'
In summary, we can use the unit circle to determine the values of sin t, cos t, and tan t for any angle t measured in radians. The terminal point on the unit circle is the point where the circle intersects with a line passing through the origin at angle t.

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The calculated t-value of 2.08 is less than the critical value of 2.571, we can fail to reject the null hypothesis at

α = 0.102, and conclude that the cholesterol level has not significantly changed with the diet supplement.

The null hypothesis that needs to be tested in this question is "The average cholesterol level before and after the diet supplement is the same."

Here is how to calculate the test value:

Given that sample size n = 6, α = 0.102,

Before mean = 206.5 and

After mean = 194.8

First, we calculate the difference between the Before and After values:

di = Xi1 - Xi2di

= { 210-190, 235-170, 208-210, 190-188, 172-173, 244-228}

= {20, 65, -2, 2, -1, 16}

Calculate the average of the differences:

d = Σdi / n = (20+65-2+2-1+16) / 6

= 100 / 6

= 16.67

Calculate the standard deviation of the differences:

s = √[Σ(d - di)² / (n-1)]

= √[Σ(d²) - (Σdi)² / n(n-1)]

= √[5906.333 - (100² / 6(6-1))]

= √[5906.333 - 4000/5]

= √[1906.333]

≈ 43.66

Calculate the test statistic:

t = d / (s / √n) = 16.67 / (43.66 / √6)

= 2.08

Therefore, the test statistic is t = 2.08 (to two decimal places).

Since the calculated t-value of 2.08 is less than the critical value of 2.571, we can fail to reject the null hypothesis at

α = 0.102, and conclude that the cholesterol level has not significantly changed with the diet supplement.

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Answer:

156 bundles

Step-by-step explanation:

Total area of the roof = 2(70 x 30) = 4200 sf  

(4200 sf) / (27sf/bundle) = 155.56 ≈ 156 bundles

Answer:

(0,-4) and (12,0)

Step-by-step explanation:

Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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Answer:

9

Step-by-step explanation:

someone help me on my homework before i lose my sanity pls its my most recent question im done <3

The speed of the scooter is 1/2 miles per minute.

The time traveled by an object or person in any direction in a particular period of time is called speed. Speed is a scalar quantity that has no direction, it has only magnitude.

Uniform speed, variable speed, average speed, and instantaneous speed are the four kinds of speed.

To find the required speed of a scooter, you can use the following formula:

Speed= Distance/Time

Here given that, the scooter traveled 1/4 miles in 1/2 minute.

By applying the formula,

speed=(1/4)miles/(1/2)minutes

=1/2 miles/minute

Therefore, the speed of the scooter is 1/2 mile/minute.

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Half a mile per minute is the speed at which the scooter moves.

Speed is the amount of time it takes for a person or object to move in any direction over a predetermined amount of time. Speed is a scalar quantity with only magnitude and no direction.

Uniform, variable, average, and instantaneous speeds are the four different types of speed.

Apply the following formula to determine the required speed for a scooter:

Time/Distance = Speed

As a result, the scooter traveled a quarter mile in just over a minute.

Using the equation,

speed=(1/4)miles/(1/2)minutes

50/60 miles per hour

The scooter moves at a speed of half a mile per minute as a result.

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Answer:

3m-8

Step-by-step explanation:

Kelly  = 8 less than (-8) 3 times Marcy (3m)

Answer:

84 feet D

Step-by-step explanation:

Answer  D - 84 feet

Step-by-step explanation:

Option c.  A = 1/2 bcSin A is the area of a traingle

The sine rule is a mathematical equation that links the side lengths of a triangle to the sines of its respective angles. The formula for determining the area in such a triangle is represented as follows:

A = (1/2) ab sin C

= (1/2) bc sin A

= (1/2) ac sin B

where a, b, and c symbolize the lengths of the triangle's sides while A, B, and C stand for the measures of their opposite angles.

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If Idil drove 12 miles in 1/5an hour on average, then she drove at an average speed of 60 miles per hour.

To calculate the average speed of Idil's car in miles per hour, we need to divide the distance she drove (12 miles) by the time it took her to drive that distance (1/5 hour):

Average speed = distance ÷ time

Average speed = 12 miles ÷ (1/5) hour

To divide by a fraction, we can multiply by its reciprocal, so:

Average speed = 12 miles × 5/1 hour

Average speed = 60 miles per hour

Therefore, Idil drove at an average speed of 60 miles per hour.

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Step-by-step explanation:

g(f(2))=3/(f(2)+2)

f(2)=4

g(f(2))=g(4)=1/2

Answer:

Choice D.

Outlier

After 8 years the balance of the account would be $9600.

What is simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

Simple Interest =(P×r×t)/100

where:

P =Principal

r = interest rate

t = time

​

​Given:

Principal, P = $8400

Rate of  interest, r = 1.8%

Final amount, A = $9600

Simple  interest, S.I = Final amount - Principal = 9600 - 8400 = $ 1200

Now, 1.8% of 8400 = (1.8/100) × 8400 = 151.2

⇒ Interest of 1 year = $151.2

Interest after x years = $1200

x = 1200/151.2 = 7.94 ≈ 8 years

Therefore, after 8 years the balance of the account would be $9600.

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To create a square with 50px sides, we need to draw four lines that are each 50px long and perpendicular to one another.

A square is a quadrilateral (a four-sided shape) with four equal sides and four equal angles of 90 degrees each. To create a square with 50px sides, we need to follow a few steps.

Step 1: Draw a line that is 50px long using a ruler or any other measuring tool.

Step 2: At the end of the line, draw a second line that is also 50px long and perpendicular to the first line. This will form the first side of the square.

Step 3: From the end of the second line, draw a third line that is also 50px long and perpendicular to the second line. This will form the second side of the square.

Step 4: Finally, draw a fourth line that is 50px long and perpendicular to the third line, connecting back to the starting point of the first line. This will form the remaining two sides of the square.

By following these steps, you have successfully created a square with 50px sides.

In summary, a square is a four-sided shape with four equal sides and angles of 90 degrees each. The resulting shape will be a square with 50px sides.

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Answer:

A hint because i am still finding the answer, ● TRANSLATION is a transformation that SLIDES a figure horizontally (left or right), vertically (up or

down), or both on a coordinate plane.

OVER 2 1/2 UP 1/2. THIS SHOULD BE RIGHT BUT A SECOND OPINION IS GOOD TOO.

The area of the triangle is 94.9 square inches

For given question,

We have been given triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches.

Let x be the third side of ΔRST

⇒ 22 + 13 + x = 50

⇒ x = 50 - 35

⇒ x = 15

Let s = sum of three sides of the triangle / 2

s = (22 + 13 + 15)/2

s = 25

Now using the formula for the area of the triangle,

A = √[s × (s-a) × (s-b) × (s-c)]

Let a = 22 inches, b = 13 inches, c = 15 inches

Substituting the values,

⇒ A = √[25 × (25 - 22) × (25 - 13) × (25 - 15)]

⇒ A = √(25 × 3 × 12 × 10)

⇒ A = √9000

⇒ A = 94.9 square inches

Therefore, the area of the triangle is 94.9 square inches

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The area of  triangle rst which have sides 22 inches and 13 inches with perimeter 50 inches is 95 square inches.

We are given that the two sides of the triangle rst are 22 inches and 13 inches respectively. Also perimeter of the triangle rst is 50 inches.

We have to find the area of  triangle to the nearest square inches.

Let the third side of the triangle rst be x.

Hence,

22 + 13 + x = 50 inch

35 + x = 50 inch

x = 50 - 35
x = 15 inches

Hence, the third side of the triangle is 15 inches.

We will use the Heron's formula here to find the area of the triangle.

Heron's formula = \(\sqrt{s(s-a)(s-b)(s-c)}\)
Here,

s = Semi- perimeter

a, b, and c are sides of the triangle.

Hence,

\(s=\frac{50}{2} \\\\s=25 inches\)

a = 22 inches

b = 13 inches

c = 15 inches

Hence,

Area of the triangle rst = \(\sqrt{25(25-22)(25-13)(25-15)}\\\\ \sqrt{25(3)(12)(10)} =\sqrt{5*5*3*3*2*2*5*2}=5*3*2\sqrt{5*2}=30\sqrt{10}\)

We know that,

\(\sqrt{10}\) ≈ 3.162277
Hence,

\(\sqrt{10} * 30\) ≈ 94.86831 ≈ 95 square inches.

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The value of x for the rhombus sides will be equal to 7 units.

A rhombus is a quadrilateral with four equal-length sides. The term equilateral quadrilateral refers to the fact that all of its sides are the same length. A quadrilateral is a four-sided polygon with four edges and four corners in geometry.

Given that there is a rhombus ABCD, and the sides are AB = 2x - 3, BC = 5y + 1, CD = 11, and AD = 20 - z.

The value of x will be calculated by equating the sides AB and CD

AB = CD

2x - 3 = 11

2x = 11 + 3

2x = 14

x = 7

Therefore, the value of x for the rhombus sides will be equal to 7 units.

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Answer:

A. 2000 square inches

B. 53.1 square inches

Answer:

1.53 times

Step-by-step explanation:

Scientists are examining two different strains of a particular bacteria. The length of one strain of the bacteria measures 0.000000143 mm, while the length of the second strain measures 0.0000000937 mm. How much larger is the first strain than the second?

We would have:

First strain : Second strain

0.000000143 mm : 0.0000000937 mm

How much larger is the first strain than the second?

We divide both by the length of the second strain

0.000000143/0.0000000937 : 0.0000000937 / 0.0000000937

1.52614727855 times

Approximately = 1.53 times

Answer:

There are no solutions

Step-by-step explanation:

6(3−5w)=5(4−2w)−20w  

6(3−5w)=5(4−2w)−20w

(6)(3)+(6)(−5w)=(5)(4)+(5)(−2w)+−20w

18+−30w=20+−10w+−20w

−30w+18=(−10w+−20w)+(20)

−30w+18=−30w+20

−30w+18=−30w+20  

−30w+18+30w=−30w+20+30w

18=20  

18−18=20−18

0=2