CorrectBob's Golf Palace had a set of 10 golf clubs that were marked on sale for $840. This was a discount of 10% off the original selling price.Step 3 of 4: What was the store's percent of profit based on cost ($390)? Follow the problem-solving process and round your answer tothe nearest hundredth of a percent, if necessary.

Answer:9

Step-by-step explanation:9

Answer:

The answer is B.

Step-by-step explanation:if you put the canusence into the newsance you wouldn't get A or D and how you rule out 4 is you just do the uduantion methos method

Answer:

True.

Step-by-step explanation:

This is because our whole number comes before the tenths, hundereths, etc.

7.043

Please mark brainliest!!

Answer:

greater

Step-by-step explanation:

yeah-ya........... right?

Answer:

Explanation: When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes.

Step-by-step explanation:

45.399,45.454,45.545,45.933

The perimeter of the square with side of 5 cm is 20 cm.

The perimeter of the square with side length of 15 cm is 60 cm.

The area of each square is calculated as follows;

Let the dimension of first square = x

Let the dimension of second square = y

x² + y² = 250 ---- (1)

4(x + y) = 80 ----- (2)

x + y = 80/4

x + y = 20

x = 20 - y

Substitute x in equation (1)

(20 - y)² + y² = 250

400 - 40y + y² + y² = 250

2y² - 40y + 150 = 0

y² - 20y + 75 = 0

solve for y, using formula method;

y = 15 or 5

Solve for x;

x = 20 -15 = 5 or

x = 20 - 5 = 15

The perimeter of first = 4x = 4 x 5 = 20 cm

The perimeter of the second = 4y = 4 x 15 = 60 cm

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Given the word problem, we can deduce the following information:

1. Fernando picks a marble at random.

2. Without putting the first marble back, he picks a second marble at random.

To determine if the events are dependent or independent, we first note that dependent events influence the probability of other events, while independent events do not affect one another.

Since Fernando picks a marble without putting the first marble back, the probability of the second pick is affected.

Therefore, the answer is dependent.

In mathematics, an n-ary function on X is a function that takes n arguments from X and produces a single output. The number of arguments required by an n-ary function is referred to as its arity. The concept of n-ary functions is widely used in mathematics, computer science, and other fields.

There are many examples of n-ary functions on X. Some of them are discussed below:Example 1: Let f be an n-ary function on X, where X is a set of real numbers. The function f takes n real numbers as input and produces a single real number as output. The function can be defined as follows:

f(x1, x2, …, xn) = x1 + x2 + … + xn

Here, the function f takes n real numbers x1, x2, …, xn as input and produces their sum as output.Example 2: Another example of an n-ary function on X is the Cartesian product.

The Cartesian product of n sets A1, A2, …, An is defined as the set of all n-tuples (a1, a2, …, an) such that ai ∈ Ai for i = 1, 2, …, n. In other words, the Cartesian product is the set of all possible combinations of n elements from the sets A1, A2, …, An. The Cartesian product is denoted by A1 × A2 × … × An.

Example 3: Let f be an n-ary function on X, where X is a set of strings. The function f takes n strings as input and produces a single string as output.

The function can be defined as follows:f(s1, s2, …, sn) = s1 + s2 + … + snHere, the function f takes n strings s1, s2, …, sn as input and produces their concatenation as output.These are some examples of n-ary functions on X. In general, an n-ary function on X can be defined in many different ways, depending on the nature of X and the desired output.

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Option A. The slope of the line is zero

How is the slope calculated?

First point = \((x_1,y_1)=(-3, -1)\)

Second point = \((x_2,y_2)= (3,-1)\)

Slope of the line = m

                       \(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\m =\frac{-1+1}{3+3} \\\\m = \frac{0}{3} \\\\m= 0\)

Thus the slope of the line is zero.

What is a zero slope?

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Answer:

slope = \(\frac{2}{5}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (3, 1) ← 2 points on the line

m = \(\frac{1-(-1)}{3-(-2)}\) = \(\frac{1+1}{3+2}\) = \(\frac{2}{5}\)

The coordinate of point R after the rotation is determined as = ( - 4, 7).

option A.

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.

You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.

When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.

The initial coordinate of point R = ( 4, 7),

The new coordinate of point R after the rotation = ( - 4, 7)

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Explanation:

The shorter side lengths 3 and 3 add to 3+3 = 6, which is not larger than the remaining side 9. This is why a triangle is not possible.

For a triangle to be possible, we need the sum of any two sides to be larger than the third side. Refer to the triangle inequality theorem.

I recommend making slips of paper that are 3 inches, 3 inches, and 9 inches long (or replace "inches" with "centimeters"). Then try to make a triangle with those slips of paper. You should find such a task is impossible: as mentioned, the 3 inch sides come up short when trying to attach to the 9 inch side.

The statement "It's not possible to build a triangle with side lengths of 3, 3, and 9" is true.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

A triangle cannot be formed with side lengths of 3, 3, and 9.

To form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

However, in this case, the sum of the lengths of any two sides is 3+3=6, which is less than the length of the third side, 9.

Therefore, it is not possible to form a triangle with side lengths of 3, 3, and 9.

Thus,

The statement "It's not possible to build a triangle with side lengths of 3, 3, and 9" is true.

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Check the picture below.

so hmmm let's find the length of the slanted side, namely the hypotenuse of the triangle with sides of 9 and 7(half of 14).

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ o=\stackrel{opposite}{7} \end{cases} \\\\\\ c=\sqrt{ 9^2 + 7^2}\implies c=\sqrt{ 81 + 49 } \implies c=\sqrt{ 130 }\)

so now let's get the areas of those triangles and those rectangles.

\(\stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(14)(9) \right]}~~ + ~~\stackrel{\textit{left and right rectangles}}{2(\sqrt{130})(20)}~~ + ~~\stackrel{\textit{bottom rectangle}}{(20)(14)} \\\\\\ 126+40\sqrt{130}+280\implies 406+40\sqrt{130} ~~ \approx ~~ \text{\LARGE 862.07}~cm^2\)

Answer/Step-by-step explanation:

Decompose each shape, find the volume of each cuboid, and add both volumes you get together.

Recall: volume of cuboid = L*W*H

4. Volume of cuboid 1: L*W*H = 12*10*4 = 480 ft³

Volume of cuboid 2: L*W*H = 12*3*5 = 180 ft³

Volume of the shape = 480 + 180 = 660 in.³

5. Volume of cuboid 1: L*W*H = 11*2*5 = 110 yd³

Volume of cuboid 2: L*W*H = 10*4*2 = 80 yd³

Volume of the shape = 110 + 80 = 190 yd³

6. Volume of cuboid 1: L*W*H = 8*3*2 = 48 in.³

Volume of cuboid 2: L*W*H = 14*2*3 = 84 in.³

Volume of the shape = 48 + 84 = 132 in.³

7. Volume of cuboid 1: L*W*H = 5*3*2 = 30 yd³

Volume of cuboid 2: L*W*H = 6*2*5 = 60 yd³

Volume of the shape = 30 + 60 = 90 yd³

8. Volume of cuboid 1: L*W*H = 12*2*18 = 432 in.³

Volume of cuboid 2: L*W*H = 18*5*6 = 540 in.³

Volume of the shape = 432 + 540 = 972 in.³

9. Volume of cuboid 1: L*W*H = 13*11*4 = 572 ft³

Volume of cuboid 2: L*W*H = 13*6*7 = 546 ft³

Volume of the shape = 572 + 546 = 1,118 ft³

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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The perimeter of the shape formed is,

⇒ P = 24√13 units

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

Three congruent rectangles are joined as shown.

And, The length of each rectangle is 3 times its width.

Here, The area of each rectangle is 39 square units.

Let the length of the rectangle = 3x

And, The width of the rectangle = x

Hence, We get;

Area of rectangle = Length x Width

⇒ 39 = 3x × x

⇒ 39 = 3x²

⇒ x² = 13

⇒ x = √13

Hence, The length of the rectangle = 3√13

And, The width of the rectangle = √13

Thus, The perimeter of the figure is,

⇒ P = 3 × [ 2 (3√13 + √13) ]

⇒ P = 6 × 4√13

⇒ P = 24√13 units

Therefore, The perimeter of the shape formed is,

⇒ P = 24√13 units

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We need to find the rate of the current.

Let's call x the rate of the current. We know that the motorboat travels 12 mph in still water. Then, when it travels downstream, the current rate will be added to its velocity in still water.

Thus, in mph, its rate r₂ going downstream is:

And, going upstream, it travels against the current. Thus, the current rate will be subtracted from its velocity in still water.

Thus, in mph, its rate r₁ going upstream is:

We know that the rate r of the motorboat is the distance traveled d divided by the time t during which it travels:

Thus, we have:

Now, for a distance d = 64 miles, the time t₁, in hours, to go upstream is one hour longer than the time t₂ to go downstream.

Thus, we have:

Then, rearranging the above equation, we obtain:

Now, solving the quadratic equation, we obtain:

Therefore, the rate of the current is approximately 1.1 mph.

The bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.

To determine whether the equipment changes made by the bakery have resulted in more uniform-sized muffins, they should use the measure of variability. The most suitable measure, in this case, would be the range.

The range is calculated by finding the difference between the maximum and minimum values in a data set. In this scenario, the bakery made 25 muffins and measured each one. By finding the range of the measurements, they can assess the spread of sizes among the muffins.

Here's how they can use the range to evaluate the effectiveness of the equipment changes:

Collect the measurements of all 25 muffins.

Determine the maximum and minimum measurements.

Calculate the range by subtracting the minimum measurement from the maximum measurement.

If the range of the muffin sizes is smaller compared to the range before the equipment changes, it suggests that the modifications have resulted in more uniform-sized muffins. Conversely, if the range remains similar or larger, it indicates that the changes might not have effectively improved the uniformity of muffin sizes.

Therefore, the bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.

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24 pounds  of coffee worth $10 a pound should be added to 30 pounds of coffee worth $3 a pound to get a mixture worth $5 a pound.

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given situation:

A coffee $10 a pound should be added to 30 pounds of coffee worth $3 a pound to get a mixture worth $5 a pound

Now, Let x be the amount of coffee which is $10 per pound

So,

10x + 3(30) = 5(x+30)

10x + 30 = 5x+150

5x + 30 = 150

5x = 120

x = 24 pounds

Hence, 24 pounds  of coffee worth $10 a pound should be added to 30 pounds of coffee worth $3 a pound to get a mixture worth $5 a pound.

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Sally's average annual percentage gain is approximately 5.26%.

To calculate Sally's average annual percentage gain, we can use the formula:

Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100

Profit = $2500

Initial Investment = $19000

Time = 2.5 years

Substituting the values into the formula:

Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100

= (0.1316) * (0.4) * 100

= 5.26

Therefore, Sally's average annual percentage gain is approximately 5.26%.

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Answer:

The  t-statistic is \(t = 0.6956\)

Step-by-step explanation:

From the question we are told that

     The population mean is  \(\mu = 22 \ minutes\)

       The standard deviation is  \(s = 7.043\)

       The  given data is  23, 35, 17, 30, 20, and 19.

Generally the sample mean is mathematically evaluated as

      \(\= x = \frac{23+ 35+17+ 30+ 20+ 19 }{6}\)

     \(\= x =24\)

The t-statistic is mathematically evaluated as

       \(t = \frac{ \= x - \mu }{\frac{s}{ \sqrt{n} } }\)

=>   \(t = \frac{ 24 - 22 }{\frac{ 7.043}{ \sqrt{6} } }\)

=>   \(t = 0.6956\)

Answer: 0.70

Step-by-step explanation:

The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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Answer:

1/10

Step-by-step explanat

I know it

The required mixed number is 1 1/10 which is equivalent to 110%.

The percentage is defined as a ratio expressed as a fraction of 100.

We have to write 110% as a mixed number in simplest form.

To convert a percent to a fraction you first convert the percent to a decimal and then use the same procedure as converting a decimal to a fraction.

As per the question, we have

⇒ 110%

To convert the percentage, we have to divide by 100

= 110/100

Rewrite the decimal number as a fraction (over 1)

= 1 .1/1

Multiply the numerator and denominator by 10 to remove decimal places

= 1.11 × 10/10

= 11/10

= 1 1/10

Therefore, 110% is written as 1 1/10 mixed number in simplest form.

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Answer:

Sarah is correct

Solution:

T1=20

T2=_10

Change in temp.=T2-T1

=-10-20

= -30 degrees

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Answer:

14 apples will be left

Step-by-step explanation:

there

Answer:

125

Step-by-step explanation:

9514 1404 393

Answer:

  2/7

Step-by-step explanation:

Put the number where x is and do the arithmetic.

  \(14x^{-2}=\dfrac{14}{x^2}=\dfrac{14}{7^2}=\dfrac{7\cdot2}{7\cdot7}=\boxed{\dfrac{2}{7}}\)