What is 3 1/2?
A. -2/-7
B. -3 1/2
C. 3 1/3
D. -2/7

The measure of ab and df are 3cm and 7.5cm respectively

In order to determine the missing sides, we need to take the ratio of the similar sides as shown:

1) ab/de = ac/df

ab/de = ab+bc/df

Substitute the given values

ab/2 = ab+4.5/2+3

ab/2 = ab+4.5/5

2(ab+4.5) = 5ab
2ab+9=5ab

3ab = 9

ab = 3cm

Hence the measure of ab is 3cm

2) ae/ce = bf/df

24/9 = 20/df

24df =. 9(20)

24df = 180

df = 7.5cm

Hence the measure of ab and df are 3cm and 7.5cm respectively

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Answer:

60 + 0.05d

Step-by-step explanation:

Using Baye's theorem,  the probability that a randomly selected job applicant who tests positive is a drug user is approximately 0.2332, or 23.32%

Let's define the events:

A: Applicant is a drug user

B: Applicant tests positive

We are given the following information:

P(A) = 0.09 (probability that a potential hire is a drug user)

P(B|A) = 0.77 (sensitivity or true positive rate)

P(B|A') = 0.25 (complement of sensitivity, false negative rate)

P(A') = 1 - P(A) = 1 - 0.09 = 0.91 (probability that a potential hire is not a drug user)

P(B|A') = 0.75 (specificity or true negative rate)

We need to find P(A|B), which is the probability that the applicant is a drug user given that they tested positive.

According to Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

To calculate P(B), we can use the law of total probability:

P(B) = P(B|A) * P(A) + P(B|A') * P(A')

Substituting the given values:

P(B) = (0.77 * 0.09) + (0.25 * 0.91) = 0.0693 + 0.2275 = 0.2968

Now we can calculate P(A|B):

P(A|B) = (0.77 * 0.09) / 0.2968 = 0.0693 / 0.2968 ≈ 0.2332

Therefore, the probability that a randomly selected job applicant who tests positive is a drug user is approximately 0.2332, or 23.32%.

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Answer:

1 & 2 perpudicular

1 & 3 neither

2 & 3 is parallel

Step-by-step explanation:

Total attempt = 90

Successful throws = 81

Unsuccessful = Total attempt - Successful

= 90 - 81

=> 9

To calculate the percentage of unsuccessful, we will use the formula:

Answer:

585 7th graders

Step-by-step explanation:

450x30%=135

450+135=585

After making a $150 deposit in the bank in one year, two years, and three years, Homer will have a total of $689 in the bank in four years, considering the interest rate of 5.6%.

Let's break down the problem step by step. In one year, Homer makes a $150 deposit. After one year, his initial deposit will earn interest at a rate of 5.6%. Therefore, after one year, his account balance will be $150 + ($150 * 0.056) = $158.40.

After two years, Homer makes another $150 deposit. Now, his initial deposit and the first-year balance will both earn interest for the second year. So, after two years, his account balance will be $158.40 + ($158.40 * 0.056) + $150 = $322.46.

Similarly, after three years, Homer makes another $150 deposit. His account balance at the beginning of the third year will be $322.46 + ($322.46 * 0.056) + $150 = $494.62.

Finally, after four years, Homer's account balance will be $494.62 + ($494.62 * 0.056) = $689.35, which rounds down to $689. Therefore, Homer will have $689 in the b in four years, considering the interest rate of 5.6%.

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Answer:

C

Step-by-step explanation:

Comment

The square root of 48 is nowhere near 12. That means that A and D are wrong. On a test that's an important consideration because if you have to guess, you've just cut the possibilities down to 2.

So the answer must  be B or C. Furthermore, you don't have to go to the trouble of factoring 48 to show that it is 4 sqrt(3). There's no other choice.

So what about x^5. 5 is an odd number. That means that one of the xs is left underneath the square root sign. That makes B incorrect. Without doing a calculation, I know that C is the answer.

Note

x^5 = x * x * x * x * x

The rule is for ever 2 factors that are the same, 1 factor is put in front of the square root sign and the other 1 is thrown out.

√x^5 = √x * x * x * x * x  = x * x √x

Therefore the answer to the problem is 4 x * x√3 x = 4x^2√3x

Answer:

98

Step-by-step explanation:

An average score can be calculated by finding the sum of all scores and then dividing by the number of tests. So we can create an equation like this:

\(\frac{(92+86+83+90+91+x)}{6}=90\)

The numerator is the sum of her scores, where x represents the score of her next test (which is what we're trying to find).

The denominator is the total number of tests, which is 6 - this includes the 5 she has taken already and the next test that she hasn't taken yet.

Furthermore, we know all of this has to equal 90 because that's the average we're looking for.

Now we just solve for x.

Step 1) Multiply by 6:

\(92+86+83+90+91+x=90 \times 6\)

Step 2) Simplify equation:

\(442+x=540\)

Step 3) Subtract 442:

\(x=540-442=98\)

Therefore, x = 98, so Danielle must achieve a score of 98 to have an overall class average of 90.

Answer:

the two points are (-3,-3

Step-by-step explanation:

You must first check if the line is a straight line two the you check the intersection of the two points and the write it

Answer:

I think it is B.

Step-by-step explanation:

pls make me brainliest and that is the only answer that matches each statement

Step-by-step explanation:

Angle ACO = 140° - x. (Sum of angles in a triangle is 180°)

Now draw the line OD. The triangles ODC and OBC are congruent via the SSS congruence property. (OD and OB are both the radius of semicircle, common side OC, and side CD = CB is given)

Hence Angle BCO = Angle ACO = 140° - x.

Since triangle OBC is an isosceles triangle with OC = OB, this means that Angle CBO is also 140° - x.

By Exterior Angle theorem,

we have Angle AOC = Angles BCO + CBO

=> x = (140° - x) + (140° - x)

=> 3x = 280°

=> x = 280°/3. (B)

Answer:

100

Step-by-step explanation:

x=100

bcz vertically opposite angles

By applying the Schroder-Bernstein theorem, we can conclude that (0,1) and R have the same cardinality.

To show that (0,1) and R have the same cardinality, we can apply the Schroder-Bernstein theorem, which states that if there exist injective functions from set A to set B and from set B to set A, then A and B have the same cardinality.

First, we can define a function from (0,1) to R by using a bijection. For example, we can use the function f(x) = tan[(πx - π/2)].

This function maps each value in the interval (0,1) to a unique real number in R. Since the tangent function is injective in the interval (-π/2, π/2), the function f(x) is also injective.

Next, we can define a function from R to (0,1) by using the inverse of the tangent function. For example, we can use the function g(x) = (π/2 + arctan[x])/π.

This function maps each real number to a unique value in the interval (0,1). The function g(x) is also injective since the inverse of the tangent function is injective.

By applying the Schroder-Bernstein theorem, we can conclude that (0,1) and R have the same cardinality.

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Answer:

3

Step-by-step explanation:

3 because you have to find x, you have to find x and y and then the overall answer

The given system of equations,

y = 1/4 x + 1

y = 1/4 x - 1

has no solution.

Given a system of equations.

There are two equations in the system.

We have to find the number of solutions for the system if it exists.

Consider the equations,

y = 1/4 x + 1

y = 1/4 x - 1

Since both the equations are in y value, they are equal.

1/4 x + 1 = 1/4 x - 1

1/4 x - 1/4 x = -1 - 1

0 = -2

This is not possible.

This means that the given system has no solution.

Hence the given system of equations has no solution.

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3 x 5 x 7 = 105, which is the smallest result that can be obtained by the process. To reach this result, the three chosen numbers must be 3, 5, and 7. The first step is to add two of the three numbers, which in this case is 3 + 5 = 8. Then, the sum of the two numbers is multiplied by the third number, which in this case is 7.

The product of 8 x 7 is 56, which is the smallest result that can be obtained by this process.  In general, the chosen numbers must be the smallest possible numbers in order to obtain the smallest result. The process involves adding two of the three chosen numbers and then multiplying the sum by the third number.

Thus, the three chosen numbers must be the numbers with the lowest sum when added together, and the third number must be the smallest number of the three. By following this process, the smallest result that can be obtained is the product of the three chosen numbers multiplied together.

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Answer:

We have parallel lines intersected by a transversal.

Corresponding angles are congruent:

5q + 3 = 3q + 11

2q = 8, so q = 4

Alternate interior angles are congruent:

3r - 4 = 6r - 19

3r = 15, so r = 5

Consecutive interior angles are supplementary:

4s + s + 90 = 180

5s = 90, so s = 18

Supplementary angles:

2t + 20 = 4t + 10

2t = 10, so t = 5

a) The area οf the trapezium is apprοximately 792.37 cm²

b) There is nο real value οf DE that satisfies the equatiοn, and we cannοt find the perimeter οf the trapezium.

Trapezium area equals 12 x (a + b) x h. Trapezium perimeter = a + b + c + d. where the lengths οf a trapezium's sides are a, b, c, and d. Mοreοver, h is the separatiοn between a and b, the twο parallel sides.

(a) To find the area of a trapezium, we use the formula:

A = (a + b)h/2

The perpendicular distance between them is the height of the trapezium, which we can find by using the Pythagorean theorem on the right triangle ADE:

\(AD^2 + DE^2 = AE^2\\\\16^2 + 15^2 = AE^2\\\\AE =\sqrt{(256 + 225)}\\\\ = \sqrt{(481)}\\\\ = 21.93 cm\)

Sο, the height οf the trapezium is h = AE = sqrt(481) ≈ 21.93 cm.

Nοw we can plug in the values fοr a, b, and h in the fοrmula fοr the area:

A = (35.5 + 20) * 21.93 / 2

= 792.365

≈ 792.37 cm²

Therefοre, the area οf the trapezium is apprοximately 792.37 cm².

(b) Tο find the perimeter οf the trapezium, we simply add up the lengths οf all the sides:

Perimeter = AB + BC + CD + AD + CE + DE

Substituting the given values, we get:

Perimeter = 35.5 + 18 + 20 + 16 + 15 + DE

\(CD^2 + DE^2 = CE^2\\\\20^2 + DE^2 = 15^2\\\\DE^2 = 225 - 400 = -175\)

Therefore, there is no real value of DE that satisfies the equation, and we cannot find the perimeter of the trapezium.

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Answer:

False, 5 is not a factor of 54.

Answer:

612

Step-by-step explanation:

you multiply 27 x 12 and 24 x 12, and add up the products, and you get 612

Answer: 612 Treats

Work: To find out how many treats he baked, you do 27 x 12 and 24 x 12. After doing so, you get 324 and 288. Add those up, and you get 612.

I hope this helps, and Happy Holidays! :)

The area and circumference of the given circle are 200.96 cm2 200.96 c m 2 and 50.24 cm 50.24 c m respectively.

Circumference of circle:

In geometry, a circumference is the circumference of a circle or an ellipse. That is, the circumference will be the length of the arc of the circle as if it were open and straight to the line segment. More generally, the perimeter is the length of the curve around any closed figure. The circumference can also designate the circle itself, the trajectory corresponding to the edge of a disk. The circumference of a sphere is the circumference or length of one of its great circles.

Area of circle:

The area of ​​a circle is the space the circle occupies in a two-dimensional plane. Alternatively, the space occupied inside the boundary/perimeter of a circle is called the area of ​​the circle. The formula for the area of ​​a circle is A = πr2, where r is the radius of the circle. Area unit is square unit, such as m2, cm2, in2, etc.

According to the Question:

The circumference C of a circle with radius r is given by

C = 2πr

where the units of C will be the same as the unit of R.

The problem tells us that the radius r = 8m.

And, we will say π = 3.14

So,

C = 2(3.14)(8) = 50.24m

The units are meters.

Now, the area A of a circle with radius r is given by

A = πr², where the units of A will be the units of r squared.

Again,

we know r = 8,π = 3.14, so

A= 3.14(8²)

8² = 8⋅8 = 64,

Thus,

A= 64(3.14) = 200.96m²

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Answer:

20

Step-by-step explanation:

of Max can make 60 cupcakes in (1 1/2 hours) 90 minutes, and 30 minutes is a third of 90 we can assume he will make a third of the amount of cupcakes.

The minimal expression for the function xyz' + xy'z + xy'z' + x'yz + x'yz' + x'y'z is z'x + zxy' + x'xy'.

Karnaugh's map, also known as a K-map, is a graphical method used in Boolean algebra to simplify logical expressions and Boolean functions. It provides a systematic way to visualize and analyze the relationships between inputs and outputs in a truth table.

A Karnaugh map is represented as a grid or table, with each cell corresponding to a unique combination of input variables. The number of cells in the grid depends on the number of input variables in the Boolean function.

To minimize the expression xyz' + xy'z + xy'z' + x'yz + x'yz' + x'y'z using Boolean algebra, we can simplify it step by step using various Boolean laws and identities. Here's the process:

1. Group terms with common factors:

xyz' + xy'z + xy'z' + x'yz + x'yz' + x'y'z

= z'(xy + x'y') + z(xy' + x'y) + xyz'

= z'(x(y + y') + xy) + z(xy' + x'y) + xyz'

2. Apply the complement law: x + x' = 1

= z'(x + xy) + z(xy' + x'y) + xyz'

= z'x + z(xy' + x'y) + xyz'

3. Distribute z in the second term:

= z'x + zxy' + zx'y + xyz'

4. Group terms with common factors:

= z'x + zxy' + (zx'y + xyz')

= z'x + zxy' + (z + x')(xy')

5. Apply the distributive law: (A + B)(A + C) = A + BC

= z'x + zxy' + (z + x')(xy')

= z'x + zxy' + zxy' + x'xy'

= z'x + 2zxy' + x'xy'

6. Simplify the expression by removing the repeated terms:

= z'x + zxy' + x'xy'

Therefore, the minimal expression for the function xyz' + xy'z + xy'z' + x'yz + x'yz' + x'y'z is z'x + zxy' + x'xy'.

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The type of study the sales director is conducting is an experiment to compare the number of orders secured by those who attended the training program and those who didn't attend.

The sales director conducted an experimented

The experiment is to do a test to see if something works or to try to improve it

Here the objective of the experiment was to see the effectiveness of the training by providing a one-month training program for employees. After that, the sales director collects the sales data for the first month. The sales director compared the number of orders secured by those who attended the training program and those who didn't attend. This experiment will help the company to determine the effectiveness of the training. If the experiment is effective or not.

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9514 1404 393

Answer:

  see attached for a graph

  x = 0.5 when y = 1

Step-by-step explanation:

The graph has a y-intercept of -1, which is halfway between 0 and -2. It goes up 4 units (2 vertical grid spaces) for 1 unit to the right (1 horizontal grid space). It seems to cross y = 1 at about x = 1/2.

x = 1/2 when y = 1.

Answer:

a=18/b2

Step-by-step explanation:

The required equation for the indicated variable is a = 18/b² which is solved for a.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

We have been given the equation for the indicated variable as

⇒ 1/3ab² = 6

Multiply by 3 both sides of the above equation,

⇒ ab² = 6×3

⇒ ab² = 18

Divide by b² into both sides of the equation, and we get

⇒ a = 18/b²

Therefore, the required equation for the indicated variable is a = 18/b².

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(a) The equation of the standing wave Yᵣ can be determined by adding the two given wave equations:

Yᵣ = y₁ + y₂ = (8 cm)sin[π(x + t)] + (8 cm)sin[π(x - t)]

(b) To find the value of Yᵣ at x = 6/1 m and t = 3/1 s, substitute these values into the equation of the standing wave:

Yᵣ(6/1, 3/1) = (8 cm)sin[π(6/1 + 3/1)] + (8 cm)sin[π(6/1 - 3/1)]

(c) To determine the x-positions of the first 3 nodes of the standing wave, we need to find the values of x where the amplitude of the standing wave is zero. Nodes occur at points where the sum of the two sine functions in the equation of the standing wave equals zero. We can set each term to zero individually and solve for x:

For the first node:

(8 cm)sin[π(x + t)] + (8 cm)sin[π(x - t)] = 0

For the second node:

(8 cm)sin[π(x + t)] = 0

For the third node:

(8 cm)sin[π(x - t)] = 0

Solving these equations will give us the x-positions of the first three nodes of the standing wave.

Explanation:

(a) The equation of the standing wave Yᵣ is obtained by adding the displacements of the two individual waves y₁ and y₂. When two waves with the same amplitude, frequency, and wavelength but traveling in opposite directions superpose, they create a standing wave pattern. In a standing wave, certain points called nodes remain stationary while other points called antinodes oscillate with maximum displacement. Adding the two given wave equations results in the equation for the standing wave Yᵣ.

(b) To find the value of Yᵣ at a specific point (x, t), we substitute the given values of x and t into the equation of the standing wave. In this case, we substitute x = 6/1 m and t = 3/1 s into Yᵣ and evaluate the expression. The resulting value represents the displacement of the standing wave at that particular point.

(c) Nodes are the points in a standing wave where the displacement is zero. To find the x-positions of the first three nodes, we set the equation of the standing wave equal to zero and solve for x. This involves setting each term in the equation individually to zero and finding the corresponding x-values. The solutions to these equations give us the x-positions of the first three nodes of the standing wave, which represent the locations where the amplitude of the wave is minimum or zero.

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Answer:

and??

Step-by-step explanation: