what is the slope of the line that passes through the points (2,1) and (17,-17)​

The universal set U from which the subset was derived is; U = {keys on a keyboard }

We are told that S is a subset within a universal set, U.

Now, If S = {x, y, 4, 9, ?}  

Given S is a subset within a universal set U;

According to the question S = {x, y, 4, 9, ?}.

Now, we need to find among the given sets the one that describes the best set.

The best Universal set will be {keys on a key board } since the keys on a keyboard will have alphabets, numbers and punctuation marks mentioned in the set

Therefore, U = {keys on a keyboard }

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The surface area of the regular prism represented above would be =114 in².

To calculate the surface area of the given prism the formula the should be used is given as follows:

Surface area = 2(hw+lw+wh)

where:

height = 5in

length = 9in

width = 3in

S.A = 2(5×3+9×3+3×5)

=2(15+27+15)

= 2×57

= 114 in²

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1) The wavelength of A is equal to 6.98 × \(10^{-8}\)meters

2) The wavelength of B is equal to 3.45 × \(10^{-11}\) meters

Since we know that the wavelength = speed of light / frequency

The speed of light is 3.00 × \(10^8\) meters per second.

For light sample A with a frequency of 4.30 × 10^15 Hz can be calculated as;

wavelength of A = (3.00 ×  \(10^8\)  m/s) / (4.30 × 10^15 Hz)

wavelength of A = 6.98 ×  \(10^{-8}\) meters

For light sample B with a frequency of 8.70 × \(10^18\) Hz can be calculated as;

wavelength of B = (3.00 ×  \(10^8\) m/s) / (8.70 ×\(10^18\) Hz)

wavelength of B = 3.45 ×  \(10^{-11}\)  meters

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Answer:

Third Option: \(x=6\) or \(x=-3\)

Step-by-step explanation:

\(x^2+9x+18=0\)

\((x+6)(x+3)=0\)

\(x=6\) or \(x=-3\)

Using trigonometric relations, it is found that option A is correct, that is:

\(\sin{x} = \frac{2}{\sqrt{13}}\)

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

Tangent of an angle is sine of this angle divided by the cosine of this angle, thus:

\(\tan{x} = \frac{\sin{x}}{\cos{x}}\)

Another important relation is:

\(\sin^2{x} + \cos^2{x} = 1\)

Tangent is 2/3, that is:

\(\tan{x} = \frac{2}{3}\)

Which means that:

\(\frac{\sin{x}}{\cos{x}} = \frac{2}{3}\)

We want to find the sine, so we write the cosine as a function of the sine, that is:

\(2\cos{x} = 3\sin{x}\)

\(\cos{x} = \frac{3\sin{x}}{2}\)

Replacing in the equation for the relation:

\(\sin^2{x} + \cos^2{x} = 1\)

\(\sin^2{x} + (\frac{3\sin{x}}{2})^2 = 1\)

\(\sin^2{x} + \frac{9\sin^2{x}}{4} = 1\)

\(\frac{13\sin^{2}{x}}{4} = 1\)

\(\sin^2{x} = \frac{4}{13}\)

\(\sin{x} = \pm \sqrt{\frac{4}{13}}\)

First quadrant, thus positive:

\(\sin{x} = \frac{2}{\sqrt{13}}\)

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Answer: A

Step-by-step explanation:

Answer:

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

The two sides are of same length as radius, hence it is isosceles triangle.

Find the measure x of other two angles using the triangle sum theorem:

x is equal to 3 if not then I just we are asking the wrong questions

To find the percentage of mugs that had two handles, you can use the following formula:

Percentage = (Number of mugs with two handles / Total number of mugs) * 100

In this case, the number of mugs with two handles is 16, and the total number of mugs is 6,400. Plugging these values into the formula:

Percentage = (16 / 6400) * 100

= 0.0025 * 100

= 0.25%

Therefore, 0.25% of the mugs in the box had two handles.

~~~Harsha~~~

The measurements of the smaller rectangle's sides are x = 3 ft and y = 7.5 ft.

To find the measurements of x and y for the smaller rectangle, follow these steps:

1. Write down the given information: The first rectangle has shorter side x and longer side y, while the second rectangle has shorter side 8 and longer side 20. The area of the smaller rectangle is 22.5 ft².

2. Since the rectangles are similar, the ratio of corresponding sides must be equal. Set up a proportion for the shorter sides and the longer sides:

x/8 = y/20

3. Given that the area of the smaller rectangle is 22.5 ft², we can write an equation for the area:

  x * y = 22.5

4. Now, we can use the proportion to find either x or y in terms of the other variable. Let's solve for y:

y = 20x/8 = 2.5x

5. Substitute the expression for y back into the area equation:

  x * (2.5x) = 22.5

6. Solve the equation for x:

  2.5x^2 = 22.5

  x^2 = 9

  x = 3

7. Now, find the value of y using the expression we found in step 4:

  y = 2.5x = 2.5 * 3 = 7.5

Therefore, the measurements of the smaller rectangle's sides are x = 3 ft and y = 7.5 ft.

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The instructional designer should use the procedure of "Confidence interval for a single proportion" to make the estimate of the proportion of learners who use Firefox as their primary browser.  (option 3)

This procedure allows for the estimation of the true proportion of the population within a certain level of confidence based on a sample proportion. It involves calculating a range of values within which the true proportion is expected to fall with a specified level of confidence. The procedure is appropriate when the variable of interest is categorical, and the goal is to estimate the proportion of individuals in a population who have a certain characteristic, in this case, using Firefox as their primary browser.

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There are 330 ways the coach can select a batting order of seven players from an 11 person team.

To determine the number of ways the coach can select a batting order of seven players from an 11 person team, we can use the combination formula, which is given by:

nCr = n! / r!(n-r)!

where n is the total number of players on the team, and r is the number of players in the batting order. In this case, n = 11 and r = 7.

So, the number of ways the coach can select a batting order of seven players from an 11 person team can be calculated as follows:

11C₇ = 11! / (7!(11-7)!)

= (11 x 10 x 9 x 8) / (4 x 3 x 2 x 1)

= 330

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Answer:

16

Step-by-step explanation:

The square numbers closest to 15 are 9 and 16

However, 9 is 6 units distant while 16 is only 1 unit

The nearest square number to 15 is 16

Answer:

The given figure is:

a. Polyhedron

c. prism

d. solid

Step-by-step explanation:

First of all, let us consider the given image.

It is a 3 dimensional figure.

It has 2 equal bases which are pentagonal.

Its faces are made along the sides of the bases and are rectangular in shape.

Now, let us classify the given image in following:

a. Polyhedron:

A polyhedron is a 3-D (three dimensional) shape in which there are flat faces.

The faces can be of 'n' number of edges (Polygonal faces).

Its edges are straight, has sharp corners which are also known as vertices.

The given image is a polyhedron as per above definition.

b. Pyramid:

It is also a 3D shape which can have a polygonal base and its faces are triangular which converge on the top to one point.

The given image does not converge to a point on the top, so not a pyramid.

c. Prism:

It is a 3D shape which has it two bases as polygonal structure.

The two bases are equal in shape and size.

There are faces on the body of prism which are formed by joining the edges of the bases.

The given image is a prism with pentagonal bases.

d. Solid:

Any 3D image is called a solid and has a length, width and height.

So, the given image is a Solid.

e. Cube:

Cube is a 3D figure, which has all its faces in square shape.

All the sides are equal for a cube.

The given image is not a cube.

f. Polygon:

A polygon is a closed figure in 2 dimensions which has n number of sides.

The given image is not a polygon.

Answer: The given figure is:

a. Polyhedron

c. prism

d. solid

The given figure is a Polyhedron, prism and solid.

A polyhedron is a three-dimensional geometry having plane surfaces connected together with sharp edges and pointed vertices.

First of all, let us consider the given image. It is a 3-dimensional figure. It has 2 equal bases which are pentagonal. Its faces are made along the sides of the bases and are rectangular in shape.

Now, let us classify the given image in the following:

a. Polyhedron:

A polyhedron is a 3-D (three dimensional) shape in which there are flat faces. The faces can be of 'n' number of edges (Polygonal faces). Its edges are straight, has sharp corners which are also known as vertices. The given image is a polyhedron as per the above definition.

c. Prism:

It is a 3D shape which has it two bases as a polygonal structure.The two bases are equal in shape and size. There are faces on the body of prism which are formed by joining the edges of the bases. The given image is a prism with pentagonal bases.

d. Solid:

Any 3D image is called a solid and has a length, width and height. So, the given image is a Solid.

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Answer:

the slope of the line is .5

Step-by-step explanation:

start at point a and rise 1 and run 2 to point d which makes the slope 1/2

Answer:

Let's assume the width of the door is x inches. Then, according to the problem, the length of the door is 48 inches longer than the width, which means the length is x+48 inches.

The area of the door is given as 3024 square inches, so we can set up an equation:

Area = width x length

3024 = x(x+48)

Simplifying the equation, we get:

x^2 + 48x - 3024 = 0

Now we can solve for x using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

where a = 1, b = 48, and c = -3024

x = (-48 ± √(48^2 - 4(1)(-3024))) / 2(1)

x = (-48 ± √(2304 + 12096)) / 2

x = (-48 ± √14400) / 2

We take the positive root since the width of a door cannot be negative:

x = (-48 + 120) / 2

x = 36

Therefore, the width of the door is 36 inches.

Step-by-step explanation:

We can use either one tailed or two tailed as our interest.

The coefficient of determination (R-squared) measures the proportion of the variance in the dependent variable that can be explained by the independent variables in a regression model. It ranges from 0 to 1, where 0 indicates no relationship and 1 indicates a perfect fit.

When conducting a hypothesis test for the significance of the coefficient of determination, you typically assess whether R-squared is significantly different from zero. This is done using a one-tailed test, as the alternative hypothesis is usually stated as either "R-squared is greater than zero" or "R-squared is less than zero."

Thınking about testing the significance of the coefficient of determination, we set up the hypothesis test. This is data from the given question

We can use either one tailed test or two tailed test depending on our interest. We can use anything one tailed test or two tailed test

The   coefficient of determination is cannot be negative so we no need to test using the low tailed , so we no need to test the coefficient of determination it should be less than 0 , so we are using one tailed test or two tailed test

Therefore, We can use either one tailed or two tailed as our interest.

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The number of ways to choose 5 people from a total of 15 people is given by 15C5. This can be calculated as follows:15C5 = (15!)/((15-5)! * 5!) = (15 * 14 * 13 * 12 * 11)/(5 * 4 * 3 * 2 * 1) = 3003Therefore, there are 3003 ways to select a committee of 5 people from the group of 15 people. The probability of selecting any given committee is 1/3003.

There are a total of 15 people in the group. A committee of size 5 is to be chosen from a group of 7 men and 8 women randomly. Therefore, the sample space for this situation is 15C5 ways to choose 5 people from a total of 15 people. 15C5 = 3003 ways. That means there are 3003 ways to select 5 people from the group of 15 people. The probability of selecting any given committee is 1/3003. That means the probability of selecting any one committee out of 3003 committees is 1/3003.To compute the probability of selecting any given committee, we first need to determine how many possible committees can be formed from the group of 15 people. The number of ways to choose 5 people from a total of 15 people is given by 15C5. This can be calculated as follows:15C5 = (15!)/((15-5)! * 5!) = (15 * 14 * 13 * 12 * 11)/(5 * 4 * 3 * 2 * 1) = 3003Therefore, there are 3003 ways to select a committee of 5 people from the group of 15 people. The probability of selecting any given committee is 1/3003.

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The integral of the function can be expressed as (1/5) (sin⁻¹(cos(x)))⁵ - (1/5) (cos⁴(x)/4 + (2/3) cos⁶(x) - (1/9) cos⁸(x)) + C, where C is the constant of integration.

The integral should be evaluated as shown below.∫tan⁴(x) cos⁵(x) dx the substitution be made,u = cos(x), then we obtain/dx = - sin(x) du = - sin(x) dx.Solving for dx, dx = - du/sin(x)Now we substitute the values in the equation as shown below.∫tan⁴(x) cos⁵(x) dx= - ∫(tan⁴(x) / sin(x)) (-sin(x) cos⁵(x))dx= ∫(tan⁴(x) cos⁵(x)) (1/sin(x))dx= ∫((sin⁻¹(u))⁴ u⁵) this integral can be solved by means of parts. To do so, let V = (sin⁻¹(u))⁴ du = 5u⁴/((1 - u²)²)Now we can evaluate the integral as shown below.∫((sin⁻¹(u))⁴ u⁵) du= (1/5) ((sin⁻¹(u))⁵) - (1/5) ∫u⁴ (1 - u²)² duThe definite integral will have the form below after expanding the right-hand side.∫((sin⁻¹(u))⁴ u⁵) du= (1/5) ((sin⁻¹(u))⁵) - (1/5) (∫u⁴ du - 2∫u⁶ du + ∫u⁸ du) + CFinally, let us substitute back u = cos(x).∫tan⁴(x) cos⁵(x) dx= (1/5) (sin⁻¹(cos(x)))⁵ - (1/5) (cos⁴(x)/4 + (2/3) cos⁶(x) - (1/9) cos⁸(x)) + C.The integral of the function can be expressed as (1/5) (sin⁻¹(cos(x)))⁵ - (1/5) (cos⁴(x)/4 + (2/3) cos⁶(x) - (1/9) cos⁸(x)) + C, where C is the constant of integration.

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Answer:

The probability is 0.341

Step-by-step explanation:

Here, we want to calculate the probability that the student will win exactly one of the two matches

This means that;

If they win on Saturday, they lose on Sunday

or

If they lose on Saturday, they win on sunday

So either of the two scenarios will give that the team will win on either of the two days

Mathematically, we have that;

(0.45 * 0.33) + (0.55 * 0.35)

= 0.1485 + 1925

= 0.341

Answer: 4500

Step-by-step explanation:

Step-by-step explanation:

These are prime factorizations....pick out the highest common factors listed and then expand :

  they both have  3^4   and that is it   3^4 = 81  is the HCF

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

From the diagram, we can see that:

Answer:

Jillian had a cake and Ruby ate 2/3 of it. Jillian's friends then came over and consumed 3/4 of the kuchen, which Ruby already ate out of. How much of the cake is left?

Step-by-step explanation:

Just think about it with simpler numbers. What if the expression was (4 ÷ 2)? Then the word problem could be made quite easily. Following the previous example, simply replace the numbers (4 and 2) with the fractions given (1/3 and 3/4) and make a few tweaks for it to make more sense.

Good luck!

The total pizza left is 1/3 of the whole pizza. If the remainig student are to take 3/4 of the remaining, how much will each student take

Algebraic equations are ways we can solve real life apllications.

Given the division problem

1/3÷ 3/4 ​

This can be written usng this statement:

The total pizza left is 1/3 of the whole pizza. If the remainig student are to take 3/4 of the remaining, how much will each student take

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Mary's speed, given the kilometers she rode in 7 hours, can be found to be 12. 8 km / hr

To find the speed that Mary was going in order to have been able to travel 89.6 kilometers in 7 hours, you can use the speed formula which is:

= Distance / Time

Distance =  89. 6 kilometers

Time = 7 hours

The speed that Mary was going at is therefore :

= 89. 6 km / 7 hours

= 12. 8 km / hr

In conclusion, the speed that Mary was going at was 12. 8 km / h.

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Answer:

Step-by-step explanation:

5678

Answer:

First, find the value of x:

\(h(5-x)=h(9)\\5-x=9\\-x=9-5\\-x=4\\x=-4\)

Substitute the x-value in to the function \(x^{2}+x+1\) and solve:

\((-4)^{2}+(-4)+1=16-4+1=12+1=13\)

Therefore, the value of h(9) = 13.

Hope this is correct O-o

Answer:

A

Step-by-step explanation:

Since we need to find the value of h(9), we can substitute the (5-x) part from the original equation with 9 to get the value of x, which is 5-x = 9, x = -4. With that, we can go ahead and plug the x into the right side of the equation to get (-4)^2 + (-4) + 1, which equals 16 - 4 + 1, which equals 13.

I hope this helped! Please do let me know if you have further questions :D

Answer:

b must be positive

Step-by-step explanation:

if a is less than -1

that means to get smaller numbers

b needs to be positive

so that when a is multiplied by b you would have

numbers that are more negative

Answer:

b > 1

Step-by-step explanation:

Given:

Substituting a = -1 into ab < a

⇒ (-1)b < -1  

⇒ -b < -1

⇒ b > 1

If a < -1 then a is negative.  If ab < a then ab is also negative.  

In order for ab to be negative (when a is negative) b must be positive.

For ab < a then b > 1.

Proof

If b = 0.5 and a = -1.5 then ab = -0.75

As -0.75 > -1.5 then ab > a so this cannot be true.

If b = 1.5 and a = -1.5 then ab = -2.25

As -2.25 < -1.5 then ab < a so this is true.

Therefore b > 1

If the ratio of the measure of the three sides of the triangle is 9:7:5 and the perimeter is 191.1 inches, then the three sides of the triangle are 81.9 inches, 63.7 inches and 45.5 inches

The ratio of the measure of the three sides of a triangle = 9 : 7 : 5

Then three sides of the triangles = 9x, 7x and 5x

Where x is the constant

The  perimeter of the triangle = 191.1

The perimeter of the triangle is the sum of the three sides of the triangle

Then the equation will be

9x + 7x + 5x = 191.1

21x = 191.1

x = 191.1 / 21

x = 9.1

The first side = 9x

= 9 × 9.1

= 81.9 inches

The second side = 7x

= 7 × 9.1

= 63.7 inches

The third side = 5x

= 5 × 9.1

= 45.5 inches

Therefore, the measure of the sides of the triangle is 81.9 inches, 63.7 inches and 45.5 inches

I have solved the question in general, as the given question is incomplete

The complete question is:

The ratio of the measures of the three sides of a triangle is 9:7:5. Its perimeter is 191.1 inches. Find the measure of each side.

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Answer:

x = 12

Step-by-step explanation:

mark as brainlist pls

Answer:

X= 12

Step-by-step explanation:

Answer:

  28.5 m/s

Step-by-step explanation:

Given that power is 1400 W when speed is 25 m/s, and power is proportional to the square of speed, you want the speed when the power is 1820 W.

Since power is proportional to the square of speed, the ratio of speed squared to power is a constant:

  s²/P = 25²/1400 = x²/1820

where x is the unknown speed.

We can find the value of x by multiplying by 1820 and taking the square root:

  x² = 25²(1820/1400)

  x = 25√(1820/1400) = 25√1.3 ≈ 28.5 . . . . m/s

The speed is 28.5 m/s when the power is 1820 watts.