What line is ABC reflected over?

The graph that represents the given piecewise function has a range of

R: (-∞, 0) ∪ (0,2] ∪ (4, ∞).

A piecewise function is a combination of subfunctions that are defined with different intervals in the domain.

The range of the piecewise function is the union of all the ranges of the subfunctions.

The given piecewise function is

g(x) = x², x < 0

      = 1/2 x, 0 < x ≤ 4

      = x, x > 4

The domain and range for the subfunctions in the given piecewise function are:

for g(x) = x²; Domain is {x < 0} and Range is (-∞, 0)

for g(x) = 1/2 x; Domain is {0 < x ≤ 4} and Range is (0, 2]

for g(x) = x; Domain is {x > 4} and Range is (4, ∞)

Then, the range of the given piecewise function is

Range: (-∞, 0) ∪ (0, 2] ∪ (4, ∞)

Thus, the graph shown in the question is the correct one.

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Answer: c, its da 3rd graph

Step-by-step explanation:

To solve this exercise, we apply the rule of three:

Oranges......................Price

 8.................................$4.40

 9.......................................x

We solve as follows:

\(\boldsymbol{\sf{x=\dfrac{9\times4.40}{8}=\dfrac{39.6 }{8}=4.9 }}\)

Therefore, 9 oranges would cost $4.9.

The required cost of the amount of 4.95 dollars would be for 9 oranges.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

We have been given that a grocery store sells a bag of 8 oranges for $4.40.

We have to determine the cost for 9 oranges.

Let's assume x dollars would it cost for 9 oranges.

As per the given condition, we can write the ratio as:

8 oranges : $4.40 = 9 oranges : x dollars

⇒ 8 / 4.40 = 9 / x

Cross multiplication and rearrange the terms of the above equation,

⇒ 8x = 4.40×9

Divide by 8 into both sides of the equation,

⇒ x = (4.40×9)/8

⇒ x = (39.6)/8

⇒ x = 4.95

Therefore, the cost of the amount of 4.95 dollars would for 9 oranges.

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Answer: 106.76yards

Step-by-step explanation:

Circumference of a circle is given as:

= 2πr

where,

π = 3.14

r = 17 yards

Circumference = 2πr

= 2 × 3.14 × 17.

= 106.76yards

Therefore, the circumference of the circle will be 106.76yards

Answer:

Did you want me to simplify the expression???

Step-by-step explanation:

3f+5b+3d+8

The derivative of function f(w) = \(2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.\)

We have,

To find the derivative of the function \(f(w) = 2/(w^2 - 4)^5\), we can use the chain rule and the power rule for differentiation.

Let's go through the steps:

First, rewrite the function as \(f(w) = 2(w^2 - 4)^{-5}.\)

Now, let's differentiate f(w) with respect to w:

\(f'(w) = d/dw~ [2(w^2 - 4)^{-5}]\)

To apply the chain rule, we need to differentiate the outer function and multiply it by the derivative of the inner function.

Using the power rule, the derivative of (w² - 4) with respect to w is 2w.

Applying the chain rule:

\(f'(w) = -10 \times 2(w^2 - 4)^{-6} \times 2w\)

Simplifying further:

\(f'(w) = -40w(w^2 - 4)^{-6}\)

Therefore,

The derivative of function f(w) = \(2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.\)

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The course of the airplane relative to true north is 094°, and the ground speed is 344.2 km/h.

The horizontal and vertical component of the airspeed is calculated as follows;

Vx = 300 cos(30) = 259.8 km/h

Vy = 300 x sin(30) = 150 km/h

The horizontal and vertical component of the wind velocity is calculated as follows;

Vx = 50 cos(60) = 25 km/h

Vy = 50 sin(60) = 43.3 km/h

To find the resultant velocity, we can add the x and y components separately:

Vx = 259.8 km/h  +  25 km/h = 284.8 km/h

Vy = 150 km/h  +  43.3 km/h  = 193.3 km/h

The magnitude of the resultant velocity is calculated as;

V = √(284.8² + 193.3²)

V = 344.2 km/h

The direction of the resultant velocity is calculated as;

θ = arc tan (193.3/284.8)

θ = 34.2⁰

The resultant direction to true north is calculated as;

track = 34.2 + 60 = 94.2°

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Answer:

538 books should be tested.

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1-0.99}{2} = 0.005\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1-\alpha\).

So it is z with a pvalue of \(1-0.005 = 0.995\), so \(z = 2.575\)

Now, find the margin of error M as such

\(M = z*\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

How many books should be tested to estimate the average force required to break the binding to within 0.08 lb with 99% confidence?

n books should be tested.

n is found when \(M = 0.08\)

We have that \(\sigma = 0.72\)

\(M = z*\frac{\sigma}{\sqrt{n}}\)

\(0.08 = 2.575*\frac{0.72}{\sqrt{n}}\)

\(0.08\sqrt{n} = 2.575*0.72\)

\(\sqrt{n} = \frac{2.575*0.72}{0.08}\)

\((\sqrt{n})^{2} = (\frac{2.575*0.72}{0.08})^{2}\)

\(n = 537.1\)

Rounding up

538 books should be tested.

Answer

Options A, C and D are all correct.

They simplify to give 5x - 3y

Explanation

We are asked to pick the expressions which simplify to give 5x - 3y

Taking the statements one at a time,

Option A

5x + -8y + 5y

= 5x - 8y + 5y

= 5x - 3y

This option is correct.

Option B

15xy ≠ (5x - 3y)

This option is not correct.

Option C

5 (x + y) + -8y

= 5x + 5y - 8y

= 5x - 3y

This option is correct.

Option D

-2 (2y - x) + x + x + x + y

= -4y + 2x + 3x + y

= 5x - 3y

This option is correct.

Hope this Helps!!!

Answer:

51 people

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

190 out of 300 is from England

100 out of 100×190/300 is from England

=63% (approximately)

according to the question

63%×80

63/100 × 80

51(approximately)

Answer:

A) most poultry hot dog brands have fewer calories than most beef and meat hot dogs, but a few poultry hot dogs have more calories than the median beef and meat hot dog

Step-by-step explanation:

i will refer to the first option as A) and so on

A)

the top of the poultry box represents the 75th percentile, so 75% of poultry values are at or below that number. this is lower than the median for both beef and meat (the middle lines in their respective boxes). if a value is lower than the median, that means that most values in the boxplot in question are higher than that value. here, this means that since the 75th percentile of poultry is less than the 50th percentile of beef/meat, most poultry hot dog brands have fewer calories than most beef and meat hot dogs

since the top line of the poultry chart extends past the mean of the beef/meat hot dogs, there are some poultry hot dogs that have higher calories than the mean for beef/meat

thus, this is the answer

B)

although it is true than some are high and some are low, we can see a general trend that beef and meat are higher than poultry, so this is wrong

C) since the 75th percentile for poultry is less than the median for beef/meet, we can say that >75% of poultry hot dog brands have fewer calories than the median for beef/meat. this is not "about half" so this is wrong

D) since the top of the poultry line extends past the mean for beef/meat, this is wrong

E) box plots do not give mean so this is wrong

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.

The five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.

The five regular polyhedra are:

1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.

2. Cube: It has six square faces, and three squares meet at each vertex.

3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.

4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.

5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:

"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".

For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:

V - E + F = 2  

=>  kV/2 - kE/2 + F = 2  

=>  k(V/2 - E/2) + F = 2

Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:

k(V/2 - (nF)/2) + F = 2  

=>  (kV - knF + 2F)/2 = 2  

=>  kV - knF + 2F = 4

Now, we need to consider the conditions for a valid polyhedron:

1. The number of faces (F), edges (E), and vertices (V) must be positive integers.

2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.

Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:

(n, k) pairs:

(3, 3) - Tetrahedron

(4, 3) - Cube

(3, 4) - Octahedron

(5, 3) - Dodecahedron

(3, 5) - Icosahedron

Therefore, there exist only five regular polyhedra.

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The expression for the quotient of 78k and 40 without any spaces would be:

78k/40

The quotient of two numbers refers to the result obtained from dividing one number by another. In this case, you are dividing 78k by 40. In mathematical notation, division is often represented by the slash (/) symbol.

So when we say "the quotient of 78k and 40", we mean "78k divided by 40", which can be written as "78k/40".

Here, no spaces are used between the numbers, variables, and the division symbol in the expression, as per your request.

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The number in an expanded form is 700,000 + 182 + 0.009

The number is given as:

seven hundred thousand one hundred eighty-two and nine thousandths

Next, we split the numbers:

seven hundred thousand = 700,000

one hundred eighty-two = 182

and nine thousandths = 0.009

Next, we add the numbers

700,000 + 182 + 0.009

Hence, the number in an expanded form is 700,000 + 182 + 0.009

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Answer:

6,000cm^3

Step-by-step explanation:

I don't know if this is correct but, volume is LxWxH and for each rectangular prism, it is 20cm x 10cm x 15cm. So each rectangular prism is 3,000cm^3 and you add them together, you get answer.

Answer: 6/(6+2x) ; (-infinity, -3) U (-3, infinity)

Step-by-step explanation:

(a) This can be read as f(x) composed of g(x). Plug in the expression given for g(x) for every x value in f(x):

(6/x)/(6/x+2)

I gave the terms in the denominator the same denominator to combine the bottom two terms into one term. 6/x + 2 is equal to 6/x + 2x/x -->

(6 +2x)/x

Do the classic keep, change, flip. \(\frac{6}{x} * \frac{x}{6+2x}\)

This simplifies to: \(\frac{6}{6+2x}\)

(b) Domain is all real numbers except for what makes the denominator equal to 0.     6 + 2x = 0 when x = -3. Therefore it is all real numbers except -3.

The conditional probability that the person has the disease given that the test result is positive is of 0.4750 = 47.50%.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which:

In this problem, the events are:

The percentages associated with a positive test is:

Hence:

\(P(A) = 0.939(0.038) + 0.041(0.962) = 0.075124\)

The probability of both a positive test and having the disease is given by:

\(P(A \cap B) = 0.939(0.038) = 0.035682\)

Hence the conditional probability is given by:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.035682}{0.075124} = 0.4750\)

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Answer:

15.4z−12

Step-by-step explanation:

Distribute:

7.4z+(−5)(−1.6z)+(−5)(2.4)

7.4z+8z+−12

Combine Like Terms:

7.4z+8z+−12

(7.4z+8z)+(−12)

15.4z+−12

Answer:

12*(x-1)

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.4" was replaced by "(24/10)". 2 more similar replacement(s)

STEP

1

:

Simplify 12/5

Equation at the end of step

1

:

4x-(5•((0-(16/10•x))+12/5))

STEP

2

:

Simplify 8/5

Equation at the end of step

2

:

4x - (5 • ((0 - (8/5 • x)) + 12/5))

STEP

3

:

Adding fractions which have a common denominator :

3.1 Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-8x + 12 /5 = 12 - 8x/5

Equation at the end of step

3

:

4x - (5 • (12 - 8x)/5)

STEP

4

:

STEP

5

:

Pulling out like terms :

5.1 Pull out like factors :

12 - 8x = -4 • (2x - 3)

Equation at the end of step

5

:

4x - -4 • (2x - 3)

STEP

6

:

STEP

7

:

Pulling out like terms :

7.1 Pull out like factors :

12x - 12 = 12 • (x - 1)

Final result :

12 • (x - 1)

The number of games we can assume he made is 10

from the question, we have the following parameters that can be used in our computation:

Percentage = 43.5%

Attempts = 25

Using the above as a guide, we have the following:

Games made/Attempts = percentage

So, we have

Games made/25 = 43.5%

This gives

Games made = 25 * 43.5%

Evaluate

Games made = 10.875

This means that

Games made = 10

Hence, the games is 10

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Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.

The template: y = mx + b

b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:

y = mx – 2

Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.

So, taking your two points, you calculate the slope, m, in the following way:

(x1,y1) = (0,–2)

(x2,y2) = (5,1)

        y2 – y1                   1 – (–2)                1 + 2               3

m = ________   =     ________    =     ________  =    ____

       x2 – x1                      5 — 0            

Step-by-step explanation:

DN=CN=8cm if N is a centre.since radii are equal in circle.

Answer:

x = 16

Step-by-step explanation:

subtract 12 from both sides to isolate the variable and its coefficient

4x = 64

divide both sides by 4 to get x

x = 16

Answer:

x = 16

Step-by-step explanation:

4x+12=76

Step 1: Subtract 12 from both sides.

4x + 12 - 12 = 76 - 12

4x = 64

Step 2: Divide both sides by 4.

\(\frac{4x}{4} = \frac{64}{4}\)

x = 16

Answer: 9

Step-by-step explanation: h=2(A/a+b)=2(66.66/4.9+9.9)=9.01

Answer:

BM = 26

Step-by-step explanation:

The vertical slash marks indicate that AM and BM are equal. So all you need to do is equate the AM = BM

3x - 4 = 4x - 14       Add 14 to both sides

3x - 4 + 14 = 4x      Combine

3x + 10 = 4x            Subtract 3x from both sides

10 = 4x - 3x             Combine

x = 10  

But that is not the answer. The question asks for BM

BM = 4x - 14            Substitute x = 10

BM = 4*10 - 14      

BM = 40 - 14

BM = 26

Answer:

The answer is letter B

Step-by-step explanation:

Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is  y =  0 .

Horizontal Asymptote:  

y =  0

In order to simplify this expression, we can use the following property:

So we have:

Answer:

I think the missing number is 28