a player rolls two fair six sided dice until the player rolls doubles. the probability of rolling doubles with one roll of two fair dice is 1/6, what is the probability that it takes 3 rolls until the player rolls doubles

Answers

Answer 1

The probability that it takes three rolls until the player rolls doubles is 25/216.

The probability of rolling doubles with one roll of two fair six-sided dice is 1/6.

The probability of an event is nothing but a number between 0 and 1, where zero shows the impossibility, and one shows the certainty.

First, determine the probability of rolls to obtain doubles in each roll.

Fails in the first roll:

P = 1 - 1/6 = 5/6

Fails in the second roll:

P = 1 - 1/6 = 5/6

In the third roll, the player rolls doubles, that is,

p = 1/6

Now, the probability of requiring 3 rolls until getting doubles will be:

= 5/6 × 5/6 × 1/6

= 25/216

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Related Questions

Can someone please help me, I am just not sure of my answer

Answers

Answer:

tally 4 which has 19 points

Step-by-step explanation:

22+19=41

41/2 = 20.5, divided by two because the team is involved in only two game tournament

this is the least she should have in average to win the MVP award.

since more then 20 means not including 20 but more than of it.

I need help with this please ​

Answers

Equations with exponents, coefficients, and variables are called polynomial equations.

What is meant by polynomial equation?

Polynomial equations are equations that contain variables, exponents, and coefficients. The greater exponent is referred to as the degree of the equation and it can have many exponents.

A polynomial is an expression in mathematics made up of coefficients and indeterminates, which are also known as variables. It can only be solved using the addition, subtraction, multiplication, and powers of positive-integer variables.

When a variable in an equation like the quadratic equation, cubic equation, etc. has only non-negative integer powers or only positive integer exponents, the function is said to be polynomial.

The absence of square roots of variables, fractional or negative powers on the variables, and the absence of variables in any fraction's denominator are specifically required for an expression to qualify as a polynomial term.

Therefore, the correct answer is option iii) -7 v² - 6v + 4.

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By rearranging the terms, the correct answer is option iii) -7 v² - 6v + 4. Equations with exponents, coefficients, and variables are called polynomial equations.

What is meant by the phrase "polynomial equation"?

Polynomial equations are those that have exponents, coefficients, and variables. The higher exponent of the equation, which may have multiple exponents, is known as the equation's degree.

A polynomial is an equation in mathematics made composed of coefficients and indeterminates, often known as variables. The only operations that may be used to solve it are addition, subtraction, multiplication, and powers of positive-integer variables.

If a variable in an equation, such as a quadratic equation or a cubic equation, only has positive integer exponents or non-negative integer powers, the variable is said to be a polynomial.

Expressions must expressly be free of variable square roots, fractional or negative powers on the variables, and variable presence in any fraction's denominator in order to be classified as polynomial terms.

Therefore, the correct answer is option iii) -7 v² - 6v + 4.

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The height of a plant, y, in centimeters, is measured x weeks after planting a seed. The height can be modeled by the regression equation y = StartFraction 6.88 Over 1 + 2,139.99 e Superscript negative 0.47 x Baseline EndFraction. Which statement best interprets the value 6.88? The plant grows 6.88 cm each week. The initial height of the plant is 6.88 cm. The plant takes 6.88 weeks to reach a height of 2,139.99 cm. The limiting value for the height of the plant is 6.88 cm.

Answers

After 7 weeks, the plant's approximate height is 8.7 cm.

What is equation?

An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the connection between two expressions on opposite sides of the sign. It generally consists of one variable and one equal to symbol.

Here,

You are given a a graph titled Plant Height that shows Number of Weeks on x axis and Height of Plant in cm on y axis. Plotting this and you will get an equation of y = 1.2792x - 0.1665 (I used excel using the given points from the above problem).

y = 1.2792x - 0.1665

y = 1.2792 (7) - 0.1665

y = 8.78 centimeters.

The most likely approximate height of the plant after 7 weeks is 8.7 centimeters.

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if x(t) = 3tu(t), what is y(t) =

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y(t) = 3u(t) is a constant function that is equal to 3 for t >= 0 and equal to 0 for t < 0.

The function x(t) = 3tu(t) is a product of a scalar 3 and a unit step function u(t). Here, u(t) is defined as:

u(t) = 0 for t < 0

u(t) = 1 for t >= 0

So, x(t) is equal to 3t for t >= 0 and equal to 0 for t < 0.

The function y(t) is the derivative of x(t) with respect to t. To find the derivative of x(t), we use the power rule for differentiation, which states that the derivative of tx(t) is x(t) + t × dx(t)/dt.

So, we have:

y(t) = dx(t)/dt = d(3tu(t))/dt = 3u(t) + 3tu'(t) = 3u(t)

Here, u'(t) is the derivative of u(t) with respect to t, which is equal to the Dirac delta function δ(t).

So, we have:

y(t) = 3u(t) = 3 for t >= 0

y(t) = 0 for t < 0

Hence, y(t) = 3u(t) is a constant function that is equal to 3 for t >= 0 and equal to 0 for t < 0.

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brett drives his skidoo 7 kilometers north. he stops for lunch and then drives 5 kilometers east. what distance did he cover

Answers

The distance Brett covered was 12 km, but his displacement was 8.6 km.

Distance

Displacement is a vector quantity that is measured as a change in an object's position, so the length of the position from the object's initial point to the object's end point.

Distance is a scalar quantity which is defined as the length of the entire path traveled by an object.

Given:

S₁ = 7 kmS₂ = 5 kmDistance?Displacement?

Distance = S₁ + S₂

Distance = 7 + 5

Distance = 12 km

The distance Brett has covered is 12 km.

Starting position = A

Final position = C

Displacement = AC

The displacement in this case is calculated by the Pythagorean theorem.

AC² = AB² + BC²

Displacement² = S₁² + S₂²

Displacement² = 7² + 5²

Displacement² = 49 + 25

Displacement² = 74

Displacement = [tex]\sqrt{74}[/tex]

Displacement = 8.6 km

The displacement that Brett has covered is 8.6 km.

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Adela paid $54.60 for 4 tickets at the skating rink. Calculate the unit rate per ticket.

Answers

Answer: $13.65 per ticket

Step-by-step explanation:

54.6/4

Find the surface area of each of the following figures using the given values. 1. Cube: (s = side) a. s = 5 ft b. s = 6 in c. s = 12 mm 2. Rectangular prism: ( l = length) (w = width) (h = height) a. l = 2, w = 5, h = 7 (ft) b. l = 16 in, w = 11 in, h = 10 in 3. Sphere: (r = radius) (d = diameter) a. r = 12 b. r = 16 c. d = 10 4. Cylinder: (r = radius) (h = height) a. r = 6, h = 12 b. r = 2, h = 10 c. r = 3, h = 5 5. Application: Sandy wants to cover a wooden cylinder with a diameter of 1 ft and a height of 4 ft with carpet to build a scratching post for her cats. What are the steps she needs to take to complete this task?

Answers

The surface areas of the regular solids are;

1. a. 150 ft²

b. 216 ft²

c. 894 mm²

2. a. 118 square units

b. 892 in²

3. a. 576·π square units

b. 1024·π square units

c. 100·π square units

4. a. 216·π square units

b. 48·π square units

c. 48·π square units

5. To complete the task, two circles of 1 ft radius should be cut from the carpet, followed by cutting a rectangular shape of width 4 ft and length of 2·π ft

What is the surface area of a solid?

The surface area of a solid is the sum of the areas that form a boundary around the outer part of the solid.

1 The surface area of a cube is A = 6·s²

a. When s = 5, A = 6 × 5² = 150

The surface area of a square of side length s = f ft = 150 ft²

b. When s = 6 ft, A = 6 × 6² = 216

The surface area of a square of side length, s = 6 ft = 216 ft²

c. When s = 12 mm, A = 6 × 12² = 864

The surface area when the side length of the square is 12 mm is 894 mm²

2. The surface area of a rectangular prism is; S.A. = 2·l·w + 2·h·w + 2·l·h

a. l = 2, w = 5, h = 7

Surface area = 2 × (2 × 5 + 5 × 7 + 2 × 7) = 118

The surface area = 118 square units

b. l = 16 in, w = 11 in, h = 10 in

The surface area = 2 × (16 × 11 + 16 × 10 + 10 × 11) = 892

The surface area of the rectangular prism is 892 in²

3. The surface area of a sphere, A  = 4·π·r²

a. The radius of the sphere, r = 12

A = 4 × π × 12² = 576·π

The surface area of the square, A = 576·π

b. r = 16, therefore;

A = 4 × π × 16² = 1024·π

The surface area when the radius is 16 units is 1024·π square units

c. When the diameter, d = 10, we get;

A = 4·π·r² =  4·π·(d/2)² =  4·π·d²/4

A = 4·π·d²/4 = π·d²

Therefore; the surface area, A = π × (10 units)² = 100·π square unitsThe surface area of a sphere of diameter, d = 10 units is 100·π square units

4. The surface area of a cylinder, A = 2·π·r·h + 2·π·r²

a. r = 6, h = 12, therefore;

A = 2×π×6×12 + 2×π×6² = 216·π

The surface area of the cylinder = 216·π square units

b. r = 2, h = 10, therefore;

A = 2×π×2×10 + 2×π×2² = 48·π

The surface area of the cylinder = 48·π square units

c. r = 3, h = 5, therefore;

A = 2×π×3×5 + 2×π×3² = 48·π

The surface area of the cylinder = 48·π square units

5. The diameter of the cylinder = 1 ft

Height of the cylinder = 4 ft

The area for the carpet to cover the each of the top and bottom = π×1² ft² = π ft²

The area to cover the curved surface = 2 × π × r × h

Therefore, area of the curved surface = 2 × π × 1 × 4 = 8·π

Area of the curved surface = 8·π ft²

Two circular shapes of radius 1 ft should be cut, followed by a rectangle of side length, 4 ft, and width 8·π/4 ft = 2·π ft

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A thick coin with a head on one side and a tail on the other has a probability of 0.4 of coming up heads, 0.4 of coming up tails, and 0.2 of coming to rest on its edge. What is the probability that exactly two tails will come up in three tosses of this coin? (assume tosses are independent) round to 4 decimals

this is my work:
using the binomial probability formula.
the formula for the probability of getting k success in n trials of a Bernoulli experiment is: P(k) = C(n, k) * p^k * (1-p)^(n-k)
where C(n, k) is the binomial coefficient, p is the probability of success in one trial, and (1-p) is the probability of failure in one trial.
In this case,
n = 3 (number of tosses)
k = 2 (number of tails)
p = 0.4 (probability of getting tails in one toss)

So, P(2) = C(3, 2) * (0.4)^2 * (1-0.4)^(3-2)
P(2) = (30.160.2) = 0.096

therefore, the probability of getting exactly two tails in three tosses of this coin is 0.096.

Answers

The probability that exactly two tails will come up in three tosses of this coin is given as follows:

0.288 = 28.8%.

What is the binomial distribution formula?

The mass probability formula, giving the probability of x successes, is of:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.

The parameter values for this problem are given as follows:

n = 3, p = 0.4.

The probability that exactly two tails will come up in three tosses of this coin is P(X = 2), hence:

P(X = 2) = 3 x 0.4² x 0.6

P(X = 2) = 0.288.

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if the total number of hot lunches sold at school this week was 1,350 and the relative frequency on friday was 0.22, how many lunches were sold on friday? provide your answer and explain how you arrived at it.

Answers

The number of lunches were sold on friday this week with a relative frequency of 0.22 is 297.

The word "relative" is used to describe how something is being viewed in connection to or in comparison to another event. How frequently an event occurs can be determined by looking at its frequency. On the other hand, relative frequency is a means to compare the frequency of a specific event to all other occurrences.

Let's learn about the relative frequency formula,

Relative frequency = f/n

f= number of times data occurred in an observationn= total frequency

So 0.22 = f / 1350

so f= 1350 x 0.22

f = 297

So  number of lunches were sold on friday this week were 297.

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Drag the tiles to the correct boxes to complete the pairs.

Match the transactions to their relevant posting in the ledger.
business purchases furniture

business sells furniture

business takes a loan from the bank

business pays off the loan

Answers

Matching the transactions to their relevant posting in the ledger are;

Business purchases furniture: furniture account debited

Business sells furniture: furniture account credited

Business takes a loan from the bank: loan account debited

Business pays off the loan: loan account credited

How to fill the transaction Ledger?

The ledger transactions are simply defined as a summary of transactions made as journal entries to sub-ledger accounts.

Now, the three main types of ledgers are;

1) General ledger: This  contains accounts that correspond to the income statement and balance sheet for which they are destined.

2) Sales ledger or debtor's ledger: This shows  at any given time how much your customers owe you and your company.

3) Purchase ledger or creditor's ledger: This shows a record of a company's purchases of goods and services showing the amounts that have been paid and remain to be paid.

From the above, we can classify the transactions as;

Business purchases furniture: furniture account debited

Business sells furniture: furniture account credited

Business takes a loan from the bank: loan account debited

Business pays off the loan: loan account credited

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Can someone help me pls
100pts

Answers

Answer:

226.87 m²

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

Area of circle with radius r is:

A = πr²

We have r = 8.5 m and using 3.14 for π to find the area:

A = 3.14 × 8.5² = 226.865 ≈ 226.87 m² (rounded)

Please help precal problem.

Use the graph of f shown to find the x-values (if any) at which f is not continuous.

Answers

The discontinuity as x is  -3 is removable by defining f(-3) is -1/8.

Exactly how can you tell if a graph is continuous or not?

Factoring the function's denominator and numerator first is the recommended approach.When a number has zeros in both the numerator and denominator, a point of discontinuity is reached.

There is a point of discontinuity there since the denominator and numerator are both zeros.If x is between 0 and 1, we say that the function is discontinuous.

This function has 3 asymptotes, which are lines that the curve approaches but doesn't cross.The vertical line x=1 is one of them, along with the x-axis, y-axis, and (denoted by a dashed line in the graph above).

Maybe you have

f ( x) = x+ 3/x²- 2x -15

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

= 1/x- 5

x infinite  -3

This will have discontinuities (points where the function is undefined) at .

   x = -3

   x = 5

The discontinuity as x = -3 is removable by defining f(-3) = -1/8.

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A bathtub ha ome water in it. Mia turn on the faucet to add more water. The total amount of water in gallon, y i a function of the time minute ince Mia turn on the faucet, x

Answers

The linear equation representing Mia's situation is y = 3x + 12.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The two points given are - (4,24) and (6,30)

The slope-intercept form of a linear equation is - y = mx + b, where m is the slope and b is the y-intercept.

To find the slope use the formula -

m = (y2 - y1)/(x2 - x1)

m = (30 - 24)/(6 - 4)

m = 6/2

m = 3

So, now the equation becomes - y = 3x + b

To find the y-intercept substitute the equation with x and y values -

24 = 3(4) + b

24 = 12 + b

b = 24 - 12

b = 12

So, now the equation becomes - y = 3x + 12.

Therefore, the linear equation y = 3x + 12.

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A bathtub has some water in it. Mia turns on the faucet and add more water. The total amount of water in gallons, y, is a function of the time in minutes since Mia turned on the faucet, x. The graph of a linear function passes through the points (4,24) and (6,30) What is the equation of the function?

What would the critical chi-square value be if my test involves seven classes? Table 1. Critical chi-square values for a p-value of 0.05. Reject the null hypothesis if χ2calc > χ2crit.

df χ2crit

1 3.84

2 5.99

3 7.81

4 9.49

5 11.07

6 12.59

7 14.07

8 15.51

9 16.92

10 18.31

11 19.68

12 21.03

13 22.36

14 23.68

15 25.00

16 26.30

17 27.59

18 28.87

19 30.14

20 31.41

Answers

The critical chi-square value for a chi-square test with seven classes and a p-value of 0.05 is 12.59.

A hypothesis is an educated guess or prediction about a relationship between variables. The critical chi-square value is the value that is used to make a decision about the hypothesis.

If the calculated chi-square value is greater than the critical chi-square value, we reject the null hypothesis, which states that there is no significant difference between the expected and observed frequencies.

For a chi-square test with seven classes, the critical chi-square value can be found by looking at the critical chi-square values for a p-value of 0.05, as shown in Table 1.

The degrees of freedom (df) is equal to the number of classes minus 1, so in this case, df = 7 - 1 = 6.

Therefore, the critical chi-square value for a chi-square test with seven classes and a p-value of 0.05 is 12.59.

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The value of a car decreases at a constant rate. After 3 years, the value of the cat is $15,000. After 2 more years, the value of the car is $11,000. Write and solve a linear equation to find the value of the car after 8 years.
After 8 years how much is the car worth?

Answers

to get the equation of any straight line, we simply need two points off of it, let's use the provided values

[tex]\begin{array}{|cc|ll} \cline{1-2} \stackrel{x}{years}&\stackrel{y}{value}\\ \cline{1-2} 3&15000\\ 5&11000\\ \cline{1-2} \end{array}\hspace{5em} (\stackrel{x_1}{3}~,~\stackrel{y_1}{15000})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{11000})[/tex]

[tex]\stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{11000}-\stackrel{y1}{15000}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{3}}} \implies \cfrac{ -4000 }{ 2 } \implies - 2000 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{15000}=\stackrel{m}{- 2000}(x-\stackrel{x_1}{3})[/tex]

[tex]y-15000=-2000x+6000\implies {\Large \begin{array}{llll} y=-2000x+21000 \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{after 8 years, x = 8}}{y = -2000(8)+21000}\implies \boxed{y=5000}[/tex]

The above answer is better

Two cylinder, and, each started with different amounts of water. The graph shows how the height of the water changed as the volume of water increased in each cylinder. Match the graphs of and to cylinder p and q. Explain your reasoning

Answers

The larger radius of Cylinder P, which produces a lower the height per unit volume, compared to the smaller radius of Cylinder Q, indicates;

Graph a, matches the graph of Cylinder Q

Graph b, matches the graph of Cylinder P

How can the volume of water in the cylinders be found?

The volume of water in a cylinder can be found using the formula;

V = π·r²·h

The volume of water is therefore, directly proportional to the volume, therefore, we get;

V ∝ h

V = k·h

Where; k = The constant of proportionality = The slope of the graph of the proportional relation

The equation, V = π·r²·h, indicates that we get;

k = π·r²

The value of the radius for P, r₁ is larger than the value of the radius for Q, r₂

Therefore, k₁ = π·r₁² > k₂ = π·r₂²

h = V/(π·r²)

The height of the water in Cylinder P, h₁ = V/π·r₁²The height of the water in Cylinder P, h₂ = V/π·r₂²

Therefore, for a specified volume, V, V/π·r₁² < V/π·r₂², h₁ < h₂, and as the water is added, the height of the water in Cylinder Q increases more than the height of the water in Cylinder P, which indicates that we get;

Graph a corresponds to the graph of Cylinder Q, and graph b corresponds to the graph of Cylinder P.

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What is the average rate of change of F(x) over the interval of x=4 to x=8

Answers

The average change of the function is given by 3.5 over the interval [4,8]

What are functions?

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here : The corresponding values of the functions to input x

now F(4)=-4 & F(8)=11

Thus the average rate of change of the function of the interval is given by

A= F(4)+F(8) / 2

  =-4+11 /2

  = 3.5

Hence,  The average change of the function is given by 3.5 over the interval [4,8]

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Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
A TV station executive is planning the new lineup for next season's shows. On Monday nights, there will be 6 sitcoms and 1 drama, for a total of 179 minutes of programming, not counting commercials. On Tuesday nights, she has scheduled 6 sitcoms and 4 dramas, for a total of 302 minutes of non-commercial programming. All sitcoms have the same length and all dramas have the same length. How long is each type of show?

Answers

each sitcom is 33 minutes long

each drama is 19 minutes long.

Solving equations using elimination method

Let x be the length in minutes of a sitcom and y be the length in minutes of a drama.

We can write the following system of equations to represent the situation:

On Monday nights:

6x + y = 179

On Tuesday nights:

6x + 4y = 302

To solve the system using elimination, we can multiply the first equation by 4 to make the coefficients of y equal, and then subtract the second equation from the first:

24x + 4y = 716

6x - 4y = -123

18x = 593

Finally, we can divide both sides of the equation by 18 to find x:

x = 33

So, each sitcom is 33 minutes long. To find the length of each drama, we can substitute the value of x into either of the original equations:

6x + y = 179

6 * 33 + y = 179

198 + y = 179

y = 19

So, each drama is 19 minutes long.

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-5(5.25 +3.1x) = -6.2(2.5x + 1.9)
Is the answer 48.23 or no solution

Answers

Answer:

-26.25 - 15.5x = -15.5x - 11.78

collect the like term

-15.5x + 15.5x = -11.78 + 26.25

= 14.48

Answer:

no solution

Step-by-step explanation:

- 5(5.25 + 3.1x) = - 6.2(2.5x + 1.9) ← distribute parenthesis on both sides

- 26.25 - 15.5x = - 15.5x - 11.78 ( add 26.25 to both sides )

- 15.5x = - 15.5x + 14.47 ( add 15.5x to both sides )

0 = 14.47 ← False

this false statement indicates the equation has no solution

when the bread doubles its size, how much does the distance between any two raisins will change?

Answers

The distance between any two raisins will not change when the bread doubles its size.

This is because the proportion of the raisins to the size of the dough remains constant. Mathematically, this can be expressed as:

Let d = the original distance between any two raisins

Let n = the new (doubled) size of the bread

d/n = constant

This means that when the size of the bread (n) doubles, the distance between the two raisins (d) remains unchanged. For example, if the original size of the bread was 10cm, and the distance between two raisins was 2cm, then when the bread is doubled to 20cm, the distance between the two raisins will still be 2cm.

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max built a skateboard ramp that is 16 inches high. the angle formed by the ramp and the ground is 21 degrees. what is the length of the ramp?

Answers

Answer:

The length of the ramp can be found using the tangent function:

tan(21°) = height/length

length = height / tan(21°)

length = 16 inches / tan(21°)

Note: make sure to convert the height from inches to the same unit used in the tangent function, usually radians.

The speedometer in every car also has an odometer that records the distance traveled. a) If the odometer reads zero at the beginning of a trip and 25 km a half hour later, what is the average speed in km/h? b) What is the average speed in mi/h (mph)? c) If a cheetah can maintain a constant speed of 25 m/s it will cover 25 meters every second. At this rate, how far will it travel in 5 seconds? d) How far will the cheetah travel in 1 minute?

Answers

A: Average speed of the car is 50 km per hour,

B: speed in miles per hour is 34.068 miles per hour,

C: The distance covered by a cheetah in 5 seconds is 75 meters,

D: distance covered by a cheetah in 1 minute is 1500 meters.

What is speed?

The distance that an object travels in relation to the amount of time it takes to do so can be used to define speed. In other terms, it is a measurement of an object's motion's speed without direction The term "velocity" refers to the combination of direction and speed.

Given the distance covered in half-hour = 25 km

speed = distance/time

speed = 25/.5

speed = 50 km per hour

av. speed =  50 km per hour

B: we know,

1 km = 0.621371 mile

50 km = 50*0.621371

50 km = 31.068 miles

av. speed = 34.068 miles per hour

C: speed of cheetah = 25 m/s

distance covered in 5 seconds = 25* 5

distance covered in 5 seconds = 75 meters

D: distance covered in 60 seconds = 25*60

distance covered in 60 seconds = 1500 meters

Hence average speed is  50 km per hour,

speed in mph is 34.068 miles per hour,

distance covered in 5 seconds is 75 meters,

distance covered in 60 seconds is 1500 meters.

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if your car gets 29 miles per gallon how much it cost to drive 410 when gasoline costs $3.30 per gallon

Answers

If your car gets 29 miles per gallon, then it cost to drive 410 when gasoline costs $3.30 per gallon is $46.662.

Your car gets 29 miles per gallon.

It drive 410 miles.

Now determining how much gallon you used to drive 410 miles.

Total Gallon = Total Distance that you covered/Miles per gallon

Total Gallon = 410/29

Total Gallon = 14.14

The costs of per gallon = $3.30

Now we finding the total cost by multiplying the total gallon by the cost of per gallon. After multiplying we get how much it cost to drive 410 when gasoline costs $3.30 per gallon.

So, the cost of 14.14 gallon = 14.14 × $3.30

The cost of 14.14 gallon = $46.662

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can the graph of intersect a vertical asymptote? can it intersect a horizontal asymptote? illustrate by sketching graphs.

Answers

A graph cannot intersect its vertical asymptote. A graph can intersect is horizontal asymptote. A graph that intersect its vertical asymptote is not a valid function.

Asymptote is a line that touches the graph of a function only at infinity but it never touches its vertical asymptotes but it can touch its horizontal asymptote and that too at +∞ , -∞. The older definition of asymptotes implies it cannot intersect the graph but recent discoveries shows it is not the case. For example vertical asymptotes,

The graph of [tex]x^{2}[/tex]  / [tex]x^{2} +1[/tex] has x- axis as its horizontal asymptotes and it intersects at origin. Also [tex]\frac{sin(x)}{x}[/tex] is asymptotic to y=0 as x→∞

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Consider the following reaction profile: A13. Transition State 1 Transition State 2 Intermediate E Eal Reactants AH Products Reaction Coordinate Which of the following statements describing this reaction profile is CORRECT?It applies to both SN1 and E1 reactions. It applies to an SN1 reaction but not to an E1 reaction It applies to both SN2 and E2 reactions. It applies to an SN2 reaction but not to an E2 reaction. It applies to an elimination reaction but not a substitution reaction

Answers

The correct reaction profile is it applies to both SN1 and E1 reactions.

The term reaction is defined as a process in which one or more substances, also called reactants, are converted to one or more different substances, known as products

Here we have know that in a chemical reaction and then a transition state is a state that exists between reactants and intermediates or products directly,

Here in which bonds are concurrently breaking and forming new ones.

And it is extremely unstable and highly energetic.

We know that both intermediates and transition states are the states that are present between the reactants and the reaction's end products, on the other hand they differ in that intermediates have full bonds, are more stable than the substrate and therefore have a lower energy and have a discrete lifetime,

Here we know that instead of a transition state has only partial bonds and is least unstable, thus making it the state with the highest energy at the reaction profile.

Therefore the correct option is (a).

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The temperature in a city is -1.5 C drag numbers to the empty boxes to complete the sentence and equation correctly ?

Answers

The equation for the given scenario is -1.5+1.5 =0.

What is temperature?

Temperature is a degree of hotness or coldness the can be measured using a thermometer. It's also a measure of how fast the atoms and molecules of a substance are moving. Temperature is measured in degrees on the Fahrenheit, Celsius, and Kelvin scales.

Given that, the temperature in a city is -1.5° C

Now,

The temperature needs to rise -1.5° C to reach 0° C.

Then, the equation is

-1.5+1.5 =0

0 = 0

Therefore, the equation is -1.5+1.5 =0.

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8 _ 6 _ 4 _ 2=30 you can use - ,+, x find the missing signs.

Answers

Answer:

+, x, -

Step-by-step explanation:

8 + 6 x 4 - 2

8 + 24 - 2

32 - 2

30

Question 6 of 12
Graph the function f(x)=√x-1. Then answer the following questions.
(a) On what interval, if any, is the function increasing? Decreasing?
(b) Is the function odd, even, or neither?
(c) Give the function's extrema, if any.
(d) How does the graph relate to a graph of one of the twelve basic functions?
***
This test: 12 point(s) possible
This question: 1 point(s) possib

Answers

Observing the options we see that the graph the corresponds to the given coordinates is option B. The function is increasing in the function (1, infinity).

What is first derivative of a function?

The rate of change of one variable with respect to another variable is represented by a function's first order derivative. For instance, in physics, we define a body's velocity as the rate at which its location changes in relation to time.

Given that the function is: f(x) = √x -1.

Substitute the value of x = 1:

f(x) = √ 1 -1

f(x) = 0

The first coordinate is (1, 0).

Substitute the value of f(x) = 0:

f(x) = √ x -1

0 = x -1

x = 1

The second coordinate is (1, 0).

Observing the options we see that the graph the corresponds to the given coordinates is option B.

a. Find the first derivative of the equation f(x) = √x -1.

f'(x) = (1/2)(x - 1)^(1/2)

Equate the value to 0:

(1/2)(x - 1)^(1/2)  = 0

x - 1 = 0

x = 1

Hence, the function is increasing in the function (1, infinity).

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What is an angle of 180° called?

Answers

Answer:

straight angles

Step-by-step explanation:

Angles that are 180 degrees (θ = 180°) are known as straight angles.

What is called a straight angle?In Maths, a straight angle is an angle equal to 180 degrees. It is called straight because it appears as a straight line.A flat surface has an angle of 180 degrees. A plane inclined staircase. The angle between the minute hand and hour hand at 6:00.Angles that are 180 degrees (θ = 180°) are known as straight angles. Angles between 180 and 360 degrees (180°< θ < 360°) are called reflex angles.Squares and rectangles are a type of right angled shape that has exactly 4 right angles that measure a total of 360 degrees. Other shapes like trapezoids, pentagons, and hexagons can also have a right angle

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The regreion equation y=305x41,987 model Mr. Smith' yearly alary x year after he wa hired. Which choice repreent the number of year after Mr. Smith wa hired when he wa mot likely to have a alary of $45,378?

8 year


9 year


10 year


11 year

Answers

After 11 years, Mrs. Smith was hired when she was most likely to have a salary of $45,378.

Now, According to the question:

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

"Information available from the question"

The equation is given as:

y = 305x + 41,987

and, the value of y is $45,378

45,378=305x+41,987

305x=45,378-41,987

305x=3391

x=11.11 years

Hence, After 11 years, Mrs. Smith was hired when she was most likely to have a salary of $45,378.

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