An ATM personal identification number (PIN) consists of a four-digit sequence. According to a representative at the bank, there are in fact restrictions on the choice of digits. It is prohibited to have any sequence start with 19 (birth years are too easy to guess). How many possible PINs are there with this restriction

Answers

Answer 1

The number of combinations of pins that can generated without using 19 in beginning are 3645 pins.

Given ten numbers from 0 to 9 and we are require to generate pins such that 19 will not come in beginning.

Total numbers=10

Combinations are the arrangement of numbers, variables, alphabets, etc. to form another numbers or word. In this problem we have to use combinations because there will be many combinations made from 10 numbers to form a 4 digit pin.

[tex]C=n!/r!(n-r)![/tex]

Combination: When 19 is not in beginning, we have to use 2 numbers in the beginning other than 19 so we can use all 9 numbers on thousandths place other than 1 and all the 9 numbers on hundredth place other than 9 and rest 2 places can be filled with any number from all 10 numbers so the combinations will be [tex]9 C_{1}*9C_{1}* 10C_{2}[/tex]=9*9*45=3645 pins.

Hence we can make 3645 pins of ATM from 10 numbers not starting with 19.

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Related Questions

a is directly proportional to the cube root of c.
w is inversely proportional to the square root of a

When c = 2, a = 48
When a = 9, w = 2400

Find the value of w when c = 6

Answers

The answer is 38400 …….

The value of w is 38400 when the value of c is 6 as per the concept of a proportional relationship.

Given:

a is directly proportional to the cube root of c.w is inversely proportional to the square root of a.When c = 2, a = 48When a = 9, w = 2400

We have to find the value of w at c = 6.

If c = 6, then the value of a becomes a = 48 times (6 divided by 3)

Therefore, the value of a can be evaluated as,

a = 48 x 6/3

a = 48 x 3

a = 144

To find the value of w, rearrange the value of 'a' in the multiple of 9.

For that, divide 144 by 9.

144/9 = 16.

Now, multiply 16 by 2400.

The final value of w = 2400 x 16

w = 38400

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The list below gives the location of friends who are scuba diving together.
Mallory is exploring at an elevation of -25 feet.
Jacob is standing on the boat, at an elevation of 15 feet.
Eva just jumped in and is 5 feet below the surface of the water.
Which inequality correctly compares the distance of the scuba divers from the surface of the water?
Eva > Mallory


Mallory < Jacob


Jacob < Eva


Mallory > Eva

Answers

According to the information, it can be inferred that the correct inequality is Mallory > Eva (option D).

How to identify who is closer to the surface of the water?

To identify who is closer to the surface of the water we must read the distance that each of the characters is.

In this case, the person closest to the surface is Eva, who is 5 feet from the surface.

Now we must identify which inequality corresponds to reality. In this case the inequality that is correct is:

Mallory > Eva

This inequality is correct because Mallory is further from the surface than Eva.

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Please Help Me Ill Appreciate Your Help Please And Thank You!

Answers

The student has to plug y=2x+4 into 3x+y=9 to solve for the system of equations

Answer:

Step-by-step explanation:

The friend solved

How many solutions does the following equation have? -1/3x2=5/6+1/3y2 5y2=25/2-5x2

Answers

The system of equations have 2 solutions

How to determine the number of solutions?

The system of equations is given as:

-1/3x² = 5/6 + 1/3y²

5y² = 25/2 - 5x²

Next, we plot the graph of the system of equations.

From the attached graph, the equations intersect at two points

Hence, the system of equations have 2 solutions

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Find the discriminant of the quadratic equation x2 14x 8 = 0 and use it to determine the number and types of solutions. b2 − 4ac

Answers

The discriminant is 164 and there are two real solutions.

What is Quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax^2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

We can find the discriminant as shown below:

x^2+14x+8=0

a=1, b=14, c=8

Discriminant=b^2-4ac

=(14)^2-4*1*8

=196-32

=164>0

As the discriminant is positive and greater than zero. So, there are two real and distinct solution.

Hence, discriminant is 164 and two real solution.

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There are 12 sweets in a bag. The
probability of choosing a strawberry sweet
5
1
is 12, a cola sweet is and a raspberry
sweet is. What is the probability of
3
choosing either a raspberry or a
strawberry sweet? Give your answer in its
simplest form.

Answers

The probability of choosing either  a raspberry or a strawberry sweet is 17/60.

Probability of choosing either  a raspberry or a strawberry sweetLet the probability of choosing a strawberry sweet P(s) = 1/5Let the probability of choosing a cola sweet and a raspberry = 1/12

P(s) ∩ P(c) = P(s) x P(c) =  1/12

where;

P(s) is the probability of choosing a strawberry sweet P(c) is the probability of choosing a cola sweet

1/12 = P(s) x P(c)

1/12 = 1/5 x P(c)

P(c) = 5/12

P(s) ∪ P(c) = 1/5 + 5/12 = 17/60

Thus, the probability of choosing either  a raspberry or a strawberry sweet is 17/60.

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25/3 ÷ x = 7/3 ÷8.1

I don't get it, what's the answer??

Answers

Answer:

x=28.93(rounded) x=28.929(not rounded)

Step-by-step explanation:

Step-by-step explanation:

25/3÷x=7/3÷8.1

25/3×8.1=7/3×x

135/2=7/3×x

x=135/2×3/7

x=405/14=28.929

Please help! If the current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms, what is the voltage?

Answers

The value of the voltage is 18 - j volts if the current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms option (c) is correct.

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have:

The current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms.

As we know,

V = IR

V = (3 + j2)(4 - j3)

[tex]\rm V=\left(3\cdot \:4-2\left(-3\right)\right)+\left(3\left(-3\right)+2\cdot \:4\right)j[/tex]

j² = -1 (complex part)

After simplification:

V = 18 - j  volts

Thus, the value of the voltage is 18 - j volts if the current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms option (c) is correct.

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Solve the system of equations using elimination: -x-2y=19 and -x-y=12.

Answers

Answer:

[tex]\begin{cases}x=-5\\y=-7\end[/tex]

Step-by-step explanation:

[tex]\begin{cases}-x-2y=19\left(1)\right\\-x-y=12\left(2)\right\end[/tex]

(2)-(1)

[tex]y=-7[/tex]

Sub into (2)

[tex]-x+7=12\\x=-5[/tex]

Solutions:

[tex]\begin{cases}x=-5\\y=-7\end[/tex]

Two points have the coordinates P (6, -3,9) and Q (3, -6, -3). A point R divides line PQ internally in the ratio 1:2. The position vectors of P, Q and Rare p, q and r respectively.
(a) Express the position vector of p and q.
i. In terms of p and q.
ii. In terms of i, j and k
(b) Hence state the coordinates of R.

Answers

Answer:

  p = 6i -3j +9k

  q = 3i -6j -3k

  r = 2p +q

  r = 5i -4j +5k

  R(5, -4, 5)

Step-by-step explanation:

Given points P(6, -3, 9) and Q(3, -6, -3) and R that divides PQ in the ratio 1:2, you want ...

position vectors p and qr in terms of p and qr in terms i, j, and kthe coordinates of R

Position vector

The vector from the origin to a point (x, y, z) will be ...

  xi +yj +zk

where i, j, k are unit vectors in the direction of the x, y, and z axes, respectively.

Using this pattern, we find the position vectors p and q to points P and Q to be ...

  p = 6i -3j +9k . . . . . . . . . . . . . position vector p

  q = 3i -6j -3k . . . . . . . . . . . . . position vector q

Division

Point R divides PQ in the ratio 1:2, so its position vector will be the weighted sum of p and q:

  r = (2p +q)/3 . . . . . . . . . . . . . . . . r in terms of p and q

Using the values of p and q from above, we find r to be ...

  r = (2(6i -3j +9k) +(3i -6j -3k))/3 = ((2·6+3)i +(2(-3)-6)j +(2·9-3)k)/3

  r = 5i -4j +5k . . . . . . . . . . r in terms of i, j, k

Coordinates

The coordinates of R are the coordinates of the head of position vector r:

  R(5, -4, 5) . . . . . . . . . . . . . coordinates of R

Given an expression such as 3x + 2y, find the value of the expression when x is equal to 4 and y is equal to 2.4 Given an expression such as 3x + 2y , find the value of the expression when x is equal to 4 and y is equal to 2.4​

Answers

Answer:

16.8

Step-by-step explanation:

3x+2y

3(4)+2(2.4)

12+4.8

16.8

These trapezoids are similar. Which of the following is the correct similarity statement?

Answers

Answer:

ABCD-DEFG
Mark as brainlist pls!

18
Select the correct answer.
Exponential function fis represented by the table.
X
f(x)
=
-2
-46
OA
O B.
OC.
O D.
-1
-22
0
-10
1
-4
Function g is represented by the equation.
g(x)
- 18(3)² + 2
Which statement correctly compares the two functions on the interval [-1, 2]?
2
-1
ہے
Only function fis increasing, and only function fis negative.
Only function fis increasing, but both functions are negative.
Both functions are increasing, but function g increases at a faster average rate.
Both functions are increasing, but function fincreases at a faster average rate.

Answers

A statement which correctly compares the two functions on the given interval [-1, 2] is: C. Both functions are increasing, but function g increases at a faster average rate.

How to compares the two functions?

First of all, we would determine the values of function g(x) on the given interval [-1, 2] as follows:

g(x) = -18(⅓)^x + 2

At x = -1, we have:

g(-1) = -18(⅓)^(-1) + 2

g(-1) = -52.

At x = 0, we have:

g(0) = -18(⅓)^(0) + 2

g(0) = -16.

At x = 1, we have:

g(1) = -18(⅓)^(1) + 2

g(1) = -4.

At x = 2, we have:

g(2) = -18(⅓)^(0) + 2

g(2) = 0.

By critically observing the values of each functions, we can logically deduce that both functions are increasing but function g(x) increases at a faster average rate because it started with a lower value and ended with a higher value.

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The Marcos family consists of 2 adults and 4 children. They spent a total of $40 on circus tickets. Let x represent the cost of an adult ticket, and let y represent the cost of a child’s ticket. Which graph represents the possible costs of the tickets?
On a coordinate plane, a line goes through points (0, 10) and (20, 0).
On a coordinate plane, a line goes through points (0, 20) and (10, 0).
On a coordinate plane, a line goes through points (negative 10, 0) and (0, 20).
On a coordinate plane, a line goes through points (negative 20, 0) and (0, 10).

Answers

Answer:

First Option

Step-by-step explanation:

First, we will find the equation for the total cost of the tickets.

Given x = Cost of 1 adult ticket

y = Cost of 1 Child ticket

Total Cost of tickets at $40:

2x + 4y = 40

To find which graph represent the cost of the tickets,

we can substitute x = 0 to find y and vice-versa.

If x = 0 ,

[tex]2(0) + 4y = 40\\4y = 40\\y = \frac{40}{4} \\= 10[/tex]

So when x = 0 , y = 10 which gives the coordinates (0,10).

Now if y = 0,

[tex]2x+4(0) = 40\\2x = 40\\x = \frac{40}{2} \\= 20[/tex]

So when y = 0 , x = 20 which gives the coordinates (20,0)

This shows that this particular line passes through these 2 points and therefore the answer is the first option.

Answer: A i just took the test

Step-by-step explanation:

$10.14 is what percent of $8.45?

Write your answer using a percent sign (%). For example, 0.5%, 12.7%, or 56%.

Answers

Answer:

120%

Step-by-step explanation:

10.14 is more than all of 8.45.

8.45 is 100% of 8.45.

So 10.14 will be more than 100%.

10.14 ÷ 8.45 = 1.2

This is the decimal value.

To change to %, multiply by 100.

1.2 × 100 = 120

10.14 is 120% of 8.45

Suppose that the waiting time for a license plate renewal at a local office of a state motorvehicle department has been found to be normally distributed with a mean of 30 minutes anda standard deviation of 7.5 minutes. What is the probability that a randomly selected individual will have a waiting time between 16 and 44 minutes

Answers

The probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.

Given mean of 30 minutes and standard deviation of 7.5 minutes.

In a set with mean d and standard deviation d. , the z score is given as:

Z=(X-d)/s.

where d is sample mean and s is standard deviation.

We have to calculate z score and then p value from normal distribution table.

We have been given d=30, s=7.5

p value of Z when X=44 subtracted by the p value of Z when X=16.

When X=44,

Z=(44-30)/7.5

=14/7.5

=1.87

P value=0.9686

When X=16

Z=(16-30)/7.5

=-1.87

P Value=0.0314.

Required probability is =0.9686-0.0314

=0.9372

=93.72%

Hence the probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.

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Expand. (n^2 -3n +1)(2n + 3) =

Answers

Answer:

[tex]2n^3-3n^2-7n+3[/tex]

Step-by-step explanation:

[tex](n^2 -3n +1)(2n + 3) =\\n^2(2n) - (3n)(2n) + (1)2n + (n^2)(3) + (-3n)(3) + (1)(3)=\\2n^3 - 6n^2 + 2n + 3n^2 -9n + 3 =\\[/tex]

Collecting like terms and simplifying yields

[tex]2n^3-3n^2-7n+3[/tex]

Find the value of d.
d
0.
e
75°
194°

Answers

Answer: C

Step-by-step explanation:

[tex]75=\frac{d+94}{2}\\ \\ 150=d+94 \\ \\ d=56[/tex]

Which term describes the slope of the line below?

Answers

Answer:

B. Zero

Step-by-step explanation:

The slope of the line is in the the first two quadrants and is horizontal, meaning it has zero slope.

Answer:

Zero slope :)

Step-by-step explanation:

A zero slope is a horizontal line. When there is a zero slope, y will be equal to a constant. :)

Have an amazing day!!

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Water freezes at 0^\circ0

0, degrees Celsius.
Manoj's water is 3^\circ3

3, degrees Celsius.
Leo's water is 7^\circ7

7, degrees Celsius.
Whose water matches each description?

Manoj's water
Leo's water
Is at a greater temperature
Is closer to freezing
\quad

Answers

Leo's water is at a greater temperature. And Manoj's water is closer to freezing.

What is the temperature?

The temperature refers to the degree of hotness ant coldness of the substance.

Water freezes at 0 °C.

Manoj's water is 3 °C.

Leo's water is 7 °C.

Leo's water is at a greater temperature.

Manoj's water is closer to freezing.

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In the following exercises, multiply the binomials. Use any method.
243. (y − 6)(y − 2)

Answers

the answer: y^2-8y+12

Answer:

Hence the expression. [tex](y-6)(y-2)=y^{2} -8x-12[/tex]

Step-by-step explanation:

The given expression is (y-6)(y-2).We have to multiply the given expression.Multiply the (y-6) by -2, multiply the (y-6) by y then add like terms.

[tex]$$\begin{array}{r}y-6 \\\times \quad \underline{y-2} \\-2 y-12 \\\underline{y^{2}-6 y} \\y^{2}-8 y-12\end{array}$$[/tex]

Calculator
Bookwork code: Q86 allowed
Second chance! Review your workings and see if you can correct your mistake.
Bethany rolled a six-sided dice a number of times and recorded the outcomes in
the table below.
< Back to task
Work out the relative frequency of landing on
a) the number 4.
b) a prime number.
Give your answers as decimals.
Outcome
1
2
3
4
5
Frequency
12
6
8
14
3
Watch video
7
Answer >

Answers

1) The frequency of landing 4 is 14.

2) The frequency for prime numbers is  8 and 3.

What is probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given:

Outcome               Frequency

1                                   12

2                                   6

3                                   8

4                                   14

5                                   3

1) The frequency of landing 4 is 14.

2) The frequency for prime numbers is  8 and 3.

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Triangles J K L and M N R are shown.
In the diagram, KL ≅ NR and JL ≅ MR. What additional information is needed to show ΔJKL ≅ ΔMNR by SAS?

∠J ≅ ∠M
∠L ≅ ∠R
∠K ≅ ∠N
∠R ≅ ∠K

Answers

The correct answer is option B which is we need ∠L ≅  ∠R to prove congruency.

What is congruency?

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

According to the SAS theorem which means Side Angle Side, The angle which is included between the two sides must be congruent.

Here we are given that

KL = NR

JL = MR

Now in the figure, we can clearly see that the angle included between JL & KL is L & the angle included between NR & MR is R.

So for the triangles to be congruent by SAS, angle L must be congruent to angle R.

∠L=∠R

Therefore the correct answer is option B which is we need ∠L ≅ ∠R to prove congruency.

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Answer: option b

Step-by-step explanation:

Consider the following situations: (a) A survey of 18,87518,875 people aged 1818 to 2525 reported that 55.1U.1% drank alcohol in the past month. (b) In a study of work stress, 250250 restaurant workers were asked about the impact of work stress on their personal lives. (c) In a study of Monarch butterflies, 5555 milkweed plants in a Yosemite Valley were randomly sampled. The average number of Monarch eggs per plant was 0.73.was 0.73. Identify the population and sample for each of the situations.
1. 18.875 people age 18 to 25 2. All people aged 18 to 25 3. Proportion of 55.1% 4. All restaurant workers 5. 250 restaurant workers 6. 55 milkweed plants 7. All milkweed plants in Yosemite Valley 8. Average of 0.73
a. Population b. Sample

Answers

First statement shows sample ,second shows population, third shows sample, fourth shows population, fifth shows sample, sixth shows sample, seventh shows population, eight shows sample.

Given eight statements which shows the variables in research of alcholic consumption.

Population is anentire group about which we want to find the conclusions.

Sample is a part of population for which the conclusions are drawn. The size of sample may varry with the effectiveness and the confidence level needed.

First statement is a sample because it defines a number of people.

Second statement is a population as it shows all the people fro age 18 to 25.

Third statement is a sample as it defines a percentage of people.

Fourth statement is a population as it contains all the workers.

Fifth statement is a sample because it shows number of restaurant workers.

Sixth statement is a sample because it shows a definite number.

Seventh statement is a population as it includes all the milkweed plants.

Eight statement is a sample as it contains a definite percentage.

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2 six-sided dice, one green and one red, are released. What is the probability that : The number on the red die is 3

Answers

1/6 bc they all have an equal chance to be all the numbers on the die and their is only 6 numbers on the die so you have 1:6 probability of it being 3

Which of the following is NOT a solution to the system of inequalities? Please help



A) (1, 5)

B) (2, 1)

C) (1, 2)

D) (0, 4)

Answers

Answer:

B (It isn't in the shaded region)

Find the solutions to the equation below.
Check all that apply.
2x² +9x+4=0
A. x = -4
B. X= 4
C. X=-3
D. X= 7
0 E. x= -1/2
F. X=2
SUBMIT

Answers

Answer-

-1/2, -4

Step-by-step explanation:

A, E

Did the math to find the solution earlier, got right xoxo :)

2x^2 + 9x + 4 = 0
Factor:
(2x + 1) (x + 4) = 0
Find x:
(2x + 1)
2x + 1 = 0
2x = -1
x = -1/2
(x + 4)
x + 4 = 0
x = -4
X = -1/2, -4

According to the synthetic division below, which of the following statements
are true?
Check all that apply.
54 -17 -15
20 15
3 0
4
A. (4x2-17x-15) - (x + 5) = (4x + 3)
B. The number 5 is a root of F(x) = 4x² - 17x - 15.
OC. (4x2-17x-15) - (x - 5) = (4x + 3)
D. (x+5) is a factor of 4x2-17x-15.
E. The number -5 is a root of F(x) = 4x²-17x-15.
OF. (x-5) is a factor of 4x2 - 17x-15.

Answers

The correct statements about the synthetic division are C, D, F.

How to illustrate the information?

It should be noted that 4x² - 17x - 15 will be:

= 4x² - 20x - 3x - 15

= (x - 5)(4x + 3)

The roots of the polynomial will be:

= f(x) = 0

(x - 5) = 0

x = 5

4x + 3 = 0

x = -3/4

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At the flower store they told her that the vase should be filled for the flowers to last the longest. her cylinder vase has a radius of 3in and a height of 8in. how much water should mary pour into the vase?

Answers

Mary should pour around 3.7 liters or 226.08 in³ volume of water in the vase.

Given Information and Formula Used

Radius of the cylindrical vase, r = 3 inches

Height of the cylindrical vase, h = 8 inches

The formula for the volume, V of a cylinder is given as,

V = πr²h

Here, r is the radius of the cylinder and h is the height of the cylinder.

Calculating the Volume

Substituting the given values of r and h in the formula for the volume of cylinder, we get

Volume, V = π(3)²(8)

Using π = 3.14, we have,

V = 3.14(9)(8)

V = 226.08 cubic inches

Volume in Liters

Since, 1 Liter = 61.0237 cubic inches,

1 cubic inch = 1/61.0237 liters

⇒ 226.08 cubic inches = 226.08/61.0237 liters

⇒ 226.08 cubic inches ≈ 3.07 liters

Thus, Mary needs to pour approximately 3.07 liters volume of water in the vase.

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Need some help please?

Answers

The value of the unknown length is 24

How to determine the unknown length?

Represent the unknown length with x.

So, we have the following equivalent ratio:

30 : 30 + x = 25 : 45

Express as fraction

30/30 + x = 25/45

Simplify the fraction

30/30 + x = 5/9

Cross multiply

150 + 5x = 270

Evaluate the like terms

5x = 120

Divide by 5

x = 24

Hence, the value of the unknown length is 24

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According to social contract theory, what is the relationship between morality and society-wide agreements among people for the sake of mutual advantage? Identifying Transformations On a coordinate plane, triangle A has points (3, 3), (6, 3), (6, 9). Triangle A prime has points (negative 2, negative 1), (negative 2, negative 2), (negative 3, negative 2). Determine all the transformations needed to transform the pre-image, A, to the image, A'. Select all that apply. dilation by a scale factor of 1/2 dilation by a scale factor of 1/3 reflection over the x-axis translation to the left 4 units translation down 3 units All of the following are typical physiological effects of dehydration except _______. Multiple Choice increased blood osmolality decreased sweat rate increased cardiac output decreased plasma volume In a transaction that involves the purchase of a business, what document functions in the same way as the deed in a personal real estate transaction? discuss the tension between business's interests in maximizing profits and the public's interest in receiving complete, truthful, and non-misleading information about products that they purchase. Here's my work, is it right?SA=2r^2+2rh r=3.6cm h=21.9cm 2(3.6)^2+2(3.6)(21.9) =576.7964cm^2 What has been the single largest cause for the rise in the number of exonerations in wrongful conviction cases in Texas What do we call fixed point around which a lever pivots?A. A fulcrumB. A whell and axle c. A wedgeD. A cylinder Answer asap for beainlist Part EWhat two examples of patterns and repetition do you see in the passage from Under the Mesquite? Go to the worksheet to annotate the examples. Then list those examples in the answer space and briefly describe them. Which of the following best describes the quadrilateral formed by connecting the points (3, 6), (0, 3), (3, 3), and (0, 6)?TrapezoidSquareKiteParallelogram Based on the structure and arrangements of nucleotides in the __________ molecule, the molecule is an information molecule. It stores instructions and is read to produce proteins that direct cellular reproduction, produce new cellular components, and initiate cellular reproduction. How did Carnegies purchase of Allegheny Steel contribute to the formation of his monopoly?The purchase enabled Carnegie to discover a more efficient production method.The purchase enabled Carnegie to control most of the rail lines.The purchase gave Carnegie control of coke production.The purchase gave Carnegie new access to the raw materials he needed. How do the basic principles of inheritance which Mendel found in plants differ from those which are found in humans ActivityRubrics are guides that clearly outline task expectations. In this activity you will use a rubric to review yourpaper and reflect on the quality of your argument. You will then plan to enhance your argument based onthe rubric.Use the Research Paper Rubric and Revisions Plan to assess the quality of your argumentativepaper. Note areas of concern based on rubric criteria. Then create a plan by answering these questions: How did you rate the quality of your paper? What area of your paper needs to be revised?How will you make those changes to improve your argument? 4 Quick algebra 1 question for 50 points! Only answer if you know the answer, tysm!Define the domain and range of each function: (in the pictures) PLEASE HURRY!!!!!!!!Mr. Jackson has decided to open a new health club in his town. To decide whether he will have enough members to be successful, he hires a researcher to conduct a survey. What is the population from which the researcher should choose a sample? A. People who exercise regularly. B. Members of other health clubs in the town. C. Trainers at other health clubs. D. His friends and family. A sample of He gas (2.35 mol) occupies 57.9 L at 300.0 K and 1.00 atm. The volume of this sample is __________ L at 423 K and 1.00 atm. A cyclist rides her bike at a rate of 9 kilometers per hour. What is this rate in kilometers per minute? How many kilometers will the cyclist travel in 15 minutes? Do not round your answers. Wonder waves aquarium just opened a new tropics wing, with a large main tank and a small observation tank. there are 75 fish in the large tank, 25 of which are angelfish. there are 25 fish in the small tank, 5 of which are angelfish. do the tanks have the same ratio of angelfish to total fish? Find the value of x.10135-