What is the inverse of the function f(x) = 1/4x – 12?

h(x) = 48x – 4
h(x) = 48x + 4
h(x) = 4x – 48
h(x) = 4x + 48

The value of measure of arc JK is,

⇒  (arc KJ) = 28 degree

Since, The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

Measure of arc KL = 152°

Now, We know that;

⇒ m (arc LK) + m (arc KJ) = 180°

Substitute given values, we get;

⇒ 152° + m (arc KJ) = 180

⇒ m (arc KJ) = 180 - 152

⇒  (arc KJ) = 28 degree

Thus, The value of measure of arc JK is,

⇒  (arc KJ) = 28 degree

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Answer:

1. 120\(m^{2}\)

2. 192\(ft^{2}\)

3. 48\(cm^{2}\)

Step-by-step explanation:

First triangle:

1. Find out the height

   \(h^{2} +8^{2} =17^{2}\)

   \(h^2+64=289\)

         -64     -64

   \(h^2=225\)

  h=15

2. Find the area

A=1/2 x 16 x 15

A=120\(m^{2}\)

Second triangle:

1. Find out the height

   \(h^2+16^{2} =20^{2}\)

   \(h^2+256=400\)

         -256   -256

   \(h^{2} =144\)

   h=12

2. Find the area

A=1/2 x 32 x 12

A=192\(ft^{2}\)

Third triangle:

1. Find out the height

\(h^2+6^2=10^{2}\)

\(h^2+36=100\\\)

     -36    -36

\(h^2=64\)

h=8

2. Find the area

A=1/2 x 12 x 8

A=48\(cm^{2}\)

Step-by-step explanation:

(1 + 1/2)(1 + 1/3)(1+ 1/4)...(1 + 1/n)

= (3/2)(4/3)(5/4)...[(n+1)/n]

= 0.5(n+1).

Answer:

0.5(n+1)

Step-by-step explanation:

(1 + 1/2)(1 + 1/3)(1+ 1/4)...(1 + 1/n)

= (3/2)(4/3)(5/4)...[(n+1)/n]

= 0.5(n+1).

The detailed answer of this question is:

P(X > 100 | X > 50)=0.455

Given that X follows an exponential distribution, we know that the probability density function (PDF) of X is given by:

f(x) = λe^(-λx) for x ≥ 0

where λ is the rate parameter of the distribution.

We are given that P(X < 50) = 0.25. Using the cumulative distribution function (CDF) of X, we can write:

P(X < 50) = 1 - e^(-λ*50) = 0.25

Solving this equation for λ, we get:

λ = -ln(0.75)/50 ≈ 0.0278

Now, we are asked to find P(X > 100 | X > 50). Using the definition of conditional probability, we can write:

P(X > 100 | X > 50) = P(X > 100 and X > 50) / P(X > 50)

= P(X > 100) / P(X > 50)

= e^(-λ100) / e^(-λ50)

= e^(-λ*50)

Substituting the value of λ, we get:

P(X > 100 | X > 50) = e^(-0.0278*50) ≈ 0.455

Therefore, the probability that a high-risk driver will have an accident after 100 days given that they have not had an accident for the first 50 days is approximately 0.455.

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The perimeter of rectangle B is equal to 29 centimeters.

What does a perimeter mean?

The perimeter of a shape is the space surrounding it. Space inside a shape is measured by area. Learn how to compute the area and perimeter of various forms.

Given the area of the rectangle, A is equal to the area of rectangle B.

That is 2.5(4x)=(2x-3)7

10x=14x-21

4x=21

x=5.25

The perimeter of rectangle B is the sum of all sides= 2(2x-3+7)

The perimeter of B = 4x+8=29 cm.

Therefore perimeter of rectangle B is 29 centimeters.

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Answer:

-72

Step-by-step explanation:

Answer:

4.5 (-20) + 18 = -72

Step-by-step explanation:

Hope this helps! O///O

Answer:

Protein smoothie =14

Berry Smoothie= 29

Step-by-step explanation:

Let number of protein smoothie be X

Let number of berry smoothie be Y

1. X+Y=43

Y=43-X

2. 10X+6Y=314

5X+3Y= 157

5x+3(43-x)=157 (substitute)

5x+129-3x=157

2x=157-129

x=14

X+Y=43

Y=43-14

Y=29

Brainliest please~

After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.

The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted  measurement regarding the distance around the outside of a two-dimensional shape. In this system  the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
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The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m

Answer: 20/8 or 2 1/2

Step-by-step explanation:

1/4 + 1/4 + 1/4 + 1/4 = 1

5/8 + 5/8 + 5/8 + 5/8 = 2 1/2

Hope this helps!

A. The following are sets A and B:

A = {2, 3, 5, 7, 11}

B = {1, 2, 3, 4, 6, 12}

C. Elements not in A or A' = ∅

B. The Venn diagram is attached

A universal set is a set which consists of all elements related to the given sets. It is denoted by U.

A. Set A:

A = {2, 3, 5, 7, 11}

Set B:

B = {1, 2, 3, 4, 6, 12}

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

A' = {1, 4, 6, 8, 9, 10, 12}

C. Elements not in A or A' = ∅

Complement of set A is refers to a set that contains the elements present in the universal set but not in set A.

Hence, the Venn diagram of sets A, B and U has been attached.

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Answer:

Step-by-step explanation:

We know that:

Let's first solve for y by choosing any equation.

Now, let's substitute the value of y into the second equation.

Now, let's substitute the value of x into the equation of y.

Hence, the value of x and y are 2.5 and 4 respectively.

A) x+2y=30

x=30-2y

B) x=8, y=11 and the solutions x and y represent the prices of tickets for students and non students.

An equation in French is defined as having one or more variables, whereas an equation in English is any well-formed formula consisting of two expressions combined with an equals sign.

Solving a variable equation includes determining which variables' values result in equality. Unknowns are the variables for which the equation must be solved, while equation solutions are the unknown values that satisfy the equality. An equation is a mathematical phrase with two equal sides separated by an equal sign. An equation is 4 + 6 = 10. We can see 4 + 6 on the left side of the equal sign and 10 on the right.

Given equations are:

2x + 3y = 49

x + 2y = 30

A) From eq 2,

x+2y=30

x=30-2y

B) x and y represents the prices of tickets for students and non students.

2(30-y)+3y=49

60-4y+3y=49

y=60-49

y=11

x=30-2y

x=30-2(11)

x=30-22

x=8

The solutions x and y represent the prices of tickets for students and non students.

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68% are within 30 minutes to 40 minutes, 95% are within 25 minutes to 45 minutes and 99.7% are within 20 minutes to 50 minutes

The three sigma rule states that 68% are within one standard deviation of the mean, 95% are within two standard deviation from the mean and 99.7% are within three standard deviation from the mean.

Given that μ = 35, σ = 5

68% are within one standard deviation = μ ± σ = 35 ± 5 = (30, 40)

95% are within two standard deviation = μ ± 2σ = 35 ± 2*5 = (25, 45)

99.7% are within three standard deviation = μ ± 3σ = 35 ± 3*5 = (20, 50)

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When 'a' is 10, 'c' is approximately 142.97. You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation

To use the elimination method to solve the equation 2a + c = 162.97, we need another equation with the same variables. However, as there is only one equation given, we cannot apply the elimination method directly.

The elimination method typically involves adding or subtracting equations to eliminate one of the variables, resulting in a new equation with only one variable. Since we have only one equation, we don't have the opportunity to eliminate variables using another equation.

In this case, we can solve the given equation directly by isolating one variable in terms of the other. Let's solve for 'c':

2a + c = 162.97

Rearrange the equation to isolate 'c':

c = 162.97 - 2a

Now, we have an expression for 'c' in terms of 'a'. This equation represents a line in the 'a-c' coordinate plane. We can choose any value for 'a', substitute it into the equation, and calculate the corresponding 'c' value.

For example, let's say we choose 'a' = 10:

c = 162.97 - 2(10)

c = 162.97 - 20

c = 142.97

So, when 'a' is 10, 'c' is approximately 142.97.

You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation since we have one equation and two variables.

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I recommend use of simple random sampling to determine the three possible toppings to be used for the vegetarian pizza.

It is a sampling technique in which each member of the population has an equal chance of being selected for the sample. Here, the population would be students who regularly eat at the school cafeteria.

By using the sampling, we make sure that each student has an equal chance of being selected to taste test the different pizza toppings. This will help to eliminate bias and provide a representative sample of the population's preferences. They will provide feedback which will be used to determine which topping should be used for the vegetarian pizza.

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Answer: kk

Step-by-step explanation:

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Using the greatest common factor, it is found that the greatest possible number of footballs that each could have received is of 6.

In this problem, the amounts of footballs are of 42 and 54, hence:

42 - 54|2

21 - 27|3

7 - 9

Then, gcf(42, 54) = 2 x 3 = 6, which means that the greatest possible number of footballs that each could have received is of 6.

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Option 2 is the correct graph for the function f(x) = \(4[(1/2)^{x}]\) .

Given ,

f(x) = \(4[(1/2)^{x}]\)

Mathematically the graph will of exponential in nature.

So,

Let us assume few values to understand the nature of graph.

Firstly,

Let x= 1

f(x) = \(4[(1/2)^{1}]\)

f(x) = 2

Let x = 2

f(x) = \(4[(1/2)^{2}]\)

f(x) = 1

Let x = 3

f(x) = \(4[(1/2)^{3}]\)

f(x) = 0.5

Thus from these values of f(x) corresponding to the values of x second graph will be correct .

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Answer:

45

Step-by-step explanation:

Mark me brainliest plzzz

Answer:

Step-by-step explanation:

As the slope between (1,0) and (2,2) is 2 and the slope between (2,2) and (4,4) is 1, we can tell that the parabola must be downward opening and have a vertex in the first quadrant

Possibly best to use the vertex form to make 3 equations with 3 unknowns

y = a(x - h)² + k

0 = a(1 - h)² + k  (i)

2 = a(2- h)² + k  (ii)

4 = a(4 - h)² + k  (iii)

subtract i from ii

2 = a((2 - h)² - (1 - h)²)

2 = a(4 - 4h + h² - (1 - 2h + h²))

2 = a(3 - 2h)

a = 2/(3 - 2h)

subtract i  from iii

4 = a((4 - h)² - (1 - h)²)

4 = a(16 - 8h + h² - (1 - 2h + h²))

4 = a(15 - 6h)

substitute for a

4 = (2/(3 - 2h))(15 - 6h)

4(3 - 2h) = 2(15 - 6h)

12 - 8h = 30 - 12h

4h = 18

h = 9/2

a = 2/(3 - 2(9/2))

a = - 1/3

0 = -1/3(1 - 9/2)² + k

k = 49/12

y = (-1/3)(x - 9/2)² + 49/12

expand to get y = ax² + bx + c form

y = (-1/3)(x² - 9x + 81/4) + 49/12

y = (-1/3)x² + 3x - 27/4) + 49/12

y = (-1/3)x² + 3x - 8/3

Answer:

\(\displaystyle h= \frac{2A}{a+b}\)

Step-by-step explanation:

The given formula is:

\(\displaystyle A=\frac{h}{2}(a+b)\)

We need to solve the formula for h.

Multiply by 2:

\(2A=h(a+b)\)

Divide by (a+b)

\(\displaystyle \frac{2A}{a+b}=h\)

The required solution is:

\(\displaystyle h= \frac{2A}{a+b}\)

Answer:

P [  x  >  508 ]  = 0,2

Step-by-step explanation:

P [  x  >  508 ]  = 1 -  P [ x ≤ 508]

P [ x ≤ 508 ]   =   ( 508 - 500 ) / 10

P [ x ≤ 508 ]   =  8/10

P [ x ≤ 508 ]   =  0,8

Then

P [  x  >  508 ]  = 1 -  P [ x ≤ 508]

P [  x  >  508 ]  = 1 - 0,8

P [  x  >  508 ]  = 0,2

Answer:

The grapefruit is 18% heavier than the apple.

Step-by-step explanation:

Orange defines the 100% in this situation.

We know that grapefruit is 8% heavier than an orange, so the weight of a grapefruit   (in percentage)  will be: 100% + 8% = 108%

And an apple is 10% lighter than the orange, then the weight (in percentage) of the apple will be: 100% - 10% = 90%

The difference between the two weights is then:

grapefruit - apple

108% - 90% = 18%

So the grapefruit is 18% heavier than the apple.

For number one A we need to multiply 5x5 because exponents make you multiply the base number by the exponent the ammount of times the exponest value is. This would give is 25-6 which equals 19

number 1 B we need to add the 8 and the 3 to give us eleven over five. thats the simplest answer to this question

2a we need to multiply the 5 into the parenthesis

then we add. The answer would be 28

for 2b the answer would be 9 2/9

ill let you solve the rest. hope this helped. dont forget to leave a heart give it 5 stars and make it the brainliest answer!!

Answer:

the answer is d bro

Step-by-step explanation:

yo the answer is d I think if I get this wrong sorry

It would take 370 days to build the wall with the given conditions.

If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:

60 men x 40 days = 2400 man-days

However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.

The number of man-days required for the first 10 days is:

60 men x 10 days = 600 man-days

The number of man-days required for the second 10 days is:

5 men x 10 days = 50 man-days

The total number of man-days required for the first 20 days is:

600 man-days + 50 man-days = 650 man-days

The remaining work can be completed by the 5 men in:

2400 man-days - 650 man-days = 1750 man-days

Therefore, the total time needed to build the wall is:

20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days

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The solution for x in the equation is 3.4.

An equation is a mathematical statement with an equal sign (=) between the algebraic expression.

The given expression is;

10x − 4.5 + 3x = 12x − 1.1

The solution of the linear equation is determined in the following steps given below.

10x − 4.5 + 3x = 12x − 1.1

13x - 4.5 = 12x - 1.1

13x - 12x = -1.1 + 4.5

x = 3.4

Hence, the solution for x in the equation is 3.4.

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