The Earth is approximately 8.0 x 103 miles in diameter, from pole to pole.What number is the distance equivalent to? A- 800 thousand milesB- 80 thousand milesC- 8 thousand milesD- .8 thousand miles

The license plate can be made in 1,757,600,000 ways

For the license plate, we need 3 letters out of 26 letters of the English alphabet and 5 digits out of 0-9

For the alphabet:

So, the first letter can be chosen in 26 ways

The second letter can be chosen in 26 ways

The third letter can be chosen in 26 ways

For the digits:

The first number can be chosen in 10 ways

The second number can be chosen in 10 ways

Similarly, the remaining three numbers can be chosen in 10 ways each

So, total ways = 26*26*26*10*10*10*10*10 = 1,757,600,000

Learn more about permutation and combination:

https://brainly.com/question/13387529

#SPJ4

A unit rate is the amount of a quantity at the rate of one.

The number of hours per week to earn approximately 190 is

22 hours 45 minutes

A unit rate is the amount of a quantity at the rate of one.

It is written as a ratio with a denominator of one. 

Example:

If 3 miles in 3 minutes then 1 mile in 1 minute.

We have,

The amount earned per hour = 8.35

This can be written as:

1 hour = 8.35

Multiply 190/8.35 on both sides.

190/8.35 x 1 hour = 190/8.35 x 8.35

22.75 hours = 190 ____(1)

1 hour = 60 minutes

0.75 hour = 45 minutes

From (1) we get,

22 hours 45 minutes = 190

Thus,

The number of hours per week to earn approximately 190 is

22 hours 45 minutes.

Learn more about unit rates here:

https://brainly.com/question/28394073

#SPJ1

Answer:

[tex]D=\sqrt{29}[/tex]

Step-by-step explanation:

Answer:

Step 2

Step-by-step explanation:

In basic algebra, if one side is positive then you must subtract on both sides, and if one side is negative then you must add on both sides to isolate the x variable.

Answer:

5

Step-by-step explanation:

If he wants to cut it into 3/5 meters long then each rope is 0.6 meters long.

3/0.6 = 5

Using the Fundamental Counting Theorem, it is found that Samantha has 24 different outfits to choose from.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with n1 ,n2 , n3, ..... nn ways to be done, each thing independent of the other, the number of ways they can be done is:

N= n1*n2*n3.....nn

In this problem:

For the pants, there are 2 options,  hence n1=2 .

For the t-shirts, there are 2 outcomes, hence n2=2.

For the shoes, there are 9 outcomes, hence  n3=6.

Thus, the total number of outfits is given by:

N = 2 x 2 x 6 = 24.

learn about of Fundamental Counting Theorem here

https://brainly.com/question/27463560

#SPJ4

The difference between the numerator and denominator of the fraction parameters is 40

From the question, the fraction is given as

5/3

The above fraction can be represented as

5x/3x

This is so because of the following equation

5x/3x  = 5/3

The above is calculated by dividing the numerator and the denominator by the common factor x

Solving further, we have

Sum of the numerator and denominator = 160

This means that

5x + 3x = 160

Evaluate the sum in the above equation

So, we have

8x = 160

Divide both sides of the fraction by 8

So, we have

x = 20

The required difference is represented as

Difference = 5x - 3x

Evaluate

Difference = 2x

Substitute x = 20 in Difference = 2x

So, we have

Difference = 2 x 20

Evaluate

Difference = 40

Hence, the difference between the fraction parameters is 40

Read more about fractions at

https://brainly.com/question/1622425

#SPJ1

The equivalent expression is (-2)^2. Option D

Index forms are simply defined as mathematical expressions with a number or element raised to a variable or number.

Example for index forms are;

2^7

5^2

6^x

2^y

Equivalent expressions are defined as algebraic expressions that are equal to each other but have different arrangement of its values or elements.

From the information given, we have that;

Now, substitute the values, we have;

(-2)^4/(-2)^2

Take inverse of the power

(-2)^4 - 2

Subtract the values

(-2)^2

Hence, the expression is (-2)^2

Learn more about equivalent expressions here:

https://brainly.com/question/4344214

#SPJ1

The complete question:

Choose an expression that is equivalent to negative two raised to the fourth power divided by negative two raised to the second power.

a. 6

b. (-2)^4

c. 8

d. (-2)^2

Answer:

d

Step-by-step explanation:

The possible values of X are that if n is even X can takes even integers from [-n, n], and if n is odd, X can takes odd integers from [-n, n]

To solve this question, we can use X to represents the difference between the number of heads and the number of tails obtained when a coin is tossed X times, the possible values of X are now obtained below:

Let H be the no. of heads and T be the no. of tails, since the coin is tossed n times, we have:

H+T=n

now, X = H-T ,

X=H-(n-H)

X=2H-n

Now,

H takes values {0,1,2,3 ......,n-2, n-1,n}

2H takes values {0,2,4,6,.....,2n-4,2n-2,2n}

2H - n takes values {-n,-(n-2),-(n-4), -(n-6),.............,n-4, n-2,n}

X takes values {-n,-(n-2), -(n-4),-(n-6),.............,n-4, n-2, n}

therefore, if n is even X can takes even integers from [-n, n]

and, if n is odd, X can takes odd integers from [-n, n]

Learn more about numbers here:

https://brainly.com/question/24813072

#SPJ4

Answer: I think the answer is 6.70$ or 6.66666667

Step-by-step explanation:6.70 x 3 = 20.1

But You Multiply 6.66666667 x 3 = 20

Answer: 40

Step-by-step explanation:

The answer of the given question of radicals is -1.

What is radicals?
A surd or radical is an unresolved root, particularly one that employs the radical symbol. A radical expression is any expression that contains a radical, whether it is a square root, a cube root, or a higher root, while an algebraic expression is any statement that does not contain any transcendental functions or transcendental numbers. The root test is used to determine the radius of convergence of a power series. The nth roots of 1 are known as roots of unity, and they play an important role in many areas of mathematics, including number theory, equation theory, and the Fourier transform.

Given, ∛-1

if we evaluate this radical then,

∛-1 = -1

because 1 perfect cube.

Hence, the answer is option(a) i.e, -1

To read more about the Radicals

https://brainly.com/question/27063367

#SPJ13

The graph of the inequality is attached below to represent the solution.

To solve this problem, we can simply plot the graph of the inequality using a graphing calculator. To do this, we can simply input the value of both inequalities and then plot the values.

In the graph below, the the red broken line represents the first equation which is "<" or less than and the second equation which is the straight blue line which represents the ">" or greater than sign.

Kindly find the attached image below.

Learn more on graph of inequality here;

https://brainly.com/question/11234618

#SPJ1

group of friends have $150 to spend on the amusement park admission and parking.

150 - 13.50 = 136.50

136.50 / 22.75 = 6

x = 6

13.50 + 22.75x = 150

13.50 + 22.75(6) = 150

22.75 * 6 = 136.50

136.50 + 13.50 = 150

The quadratic equation in standard form is y = 3 · x² + 2 · x - 1. (Correct choice: C)

In accordance with the fundamental theorem of algebra, a quadratic function can be found by knowing three distinct points. Quadratic functions are polynomials of the form, known as standard form:

y = a · x² + b · x + c

Where a, b, c are real coefficients.

If we know that (x₁, y₁) = (- 3, 20), (x₂, y₂) = (0, - 1) and (x₃, y₃) = (2, 15), then the coefficients of the polynomial are found by numerical methods:

9 · a - 3 · b + c = 20

c = - 1

4 · a + 2 · b + c = 15

The solution to the system of linear equations is (a, b, c) = (3, 2, - 1). The equation is y = 3 · x² + 2 · x - 1.

To learn more on quadratic functions: https://brainly.com/question/4119540

#SPJ1

The amount she earned this week is £325

Shirley earns £52 for an 8 hour shift at a call centre.

Therefore,

8 hours = £52

1 hour = ?

cross multiply

1 hour earning = 52 / 8

1 hour earning = £6.5

Therefore,  In one week, Shirley works fifty hours at the call centre. The amount she earns during the week is as follows:

Hence,

amount she earns this week = 6.5 × 50

amount she earns this week = £325

learn more on earning here: https://brainly.com/question/28479493

#SPJ1

A. The lines with equation 3x - 4y = 6 and 3y = -4x + 9 are perpendicular

B. The lines with equation y = 1⁄2x - 7 and 6x - 12y = 24 are parallel

From the equation of lines, we can detect if they are parallel or perpendicular as follow:

With the above information, we can obatin the answer to the questions. Details below

For question A.

We shall determine the slope of each line. This can be obtained as follow:

3x - 4y = 6

Rearrange

4y = 3x - 6

y = 3/4x - 6/4

Comparing y = 3/4x - 6/4 with y = mx + c, the slope is 3/4

3y = -4x + 9

y = -4/3x + 9/3

Comparing y = -4/3x + 9/3 with y = mx + c, the slope is -4/3

m₁ × m₂

3/4 × -4/3 = -1

Thus, we can say: 3x - 4y = 6 and 3y = -4x + 9 are perpendicular

For question B.

We shall determine the slope of each line. This can be obtained as follow:

y = 1/2x - 7

Comparing y = 1/2x - 7 with y = mx + c, the slope is 1/2

6x - 12y = 24

Rearrange

12y = 6x - 24

y = 6/12x - 24/2

y = 1/2x - 12

Comparing y = 1/2x - 12 with y = mx + c, the slope is 1/2

m₁ = m₂

Thus, we can say: y = 1/2x - 7 and 6x - 12y = 24 are parallel

Learn more about parallel and perpendicular lines:

https://brainly.com/question/21243126

#SPJ1

The inequality statement comparing m and n is m > n.

The inequality is true because m is further along the number line than n

It should be noted that an inequality is simply used to express the information given hat aren't equal.

Based on the number line that's drawn we came we that is close to 3 and n is close to 1.

Therefore, this shows that m is greater than n.

Learn more about inequalities on:

brainly.com/question/11613554

#SPJ1

To solve the inequality given by -n/7 ≤ 14 , -7 should be multiplied to both sides of the inequality .

Any monotonically rising function can, by definition, be applied to both sides of an inequality without changing their connection to one another (provided that both expressions are in the domain of that function).

The inequality is -n/7 = 14

or, -n ≤ 14 × 7

or, -n ≤ 98

or, n ≥ -98

Therefore the first step is solve the inequality is to multiply both sides by 7.

To learn more about inequality visit:

brainly.com/question/17675534

#SPJ1

Answer:

3 seconds

Step-by-step explanation:

The height of the rocket when it hits the ground will be zero meters.

Therefore, set the equation to zero and solve for t by using the quadratic formula.

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

Given equation:

[tex]-4.9t^2+14t+2.1=0[/tex]

Therefore:

[tex]a=-4.9, \quad b=14, \quad c=2.1[/tex]

Substitute the values into the quadratic formula:

[tex]\implies t=\dfrac{-14 \pm \sqrt{14^2-4(-4.9)(2.1)}}{2(-4.9)}[/tex]

[tex]\implies t=\dfrac{-14 \pm \sqrt{196+41.16}}{-9.8}[/tex]

[tex]\implies t=\dfrac{-14 \pm \sqrt{237.16}}{-9.8}[/tex]

[tex]\implies t=\dfrac{-14 \pm15.4}{-9.8}[/tex]

Therefore:

[tex]\implies t=\dfrac{-14 +15.4}{-9.8}=\dfrac{1.4}{-9.8}=-\dfrac{1}{7}[/tex]

[tex]\implies t=\dfrac{-14-15.4}{-9.8}=\dfrac{-29.4}{-9.8}=3[/tex]

As time is positive, t = 3 s only.

Therefore, it will take 3 seconds for the rocket to hit the ground.

Answer:

m = 14

Step-by-step explanation:

-(5m+11) = 3 (m - 41)

-5m -11 = 3m - 123

-5m -3m = -123+11

-8m = -112

m = -112/-8

m = 14

Answer:

p>-1/3

Step-by-step explanation:

-3p-4<6

+4 +4

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

-3p<10

Divide -3 on both sides and you get something like p>-1/3 because you have to flip the sign.

Using LCM, Ramya and Deepika will exercise together after 8 days.

Step 1: Use the repeated division method to identify the prime factors of the supplied numbers.

Write the numbers in exponent form in step two. Only those prime factors' product with the highest power should be sought.

Step 3: The LCM of the provided numbers is the product of these factors with the highest powers.

Factors of 8 = 2 × 2 × 2

Factors of 4 = 2 × 2

LCM of 8 and 4 = 8

∴ Ramya and Deepika will exercise together after 8 days.

To learn more about LCM from given link

https://brainly.com/question/233244

#SPJ10

Correct Question -

Ramya exercises every 8 days and Deepika every 4 days • Ramya and Deepika exerised today. After how many days they exercise together again?​

Answer:

(9, 1 )

Step-by-step explanation:

a translation 2 units right means add 2 to the x- coordinate

a translation of 1 unit up means add 1 to the y- coordinate.

(7, 0 ) → (7 + 2, 0 + 1 ) → (9, 1 )

Answer: You Welcome

Step-by-step explanation:

12.6 Repeating Decimal = 12 2/3 as a Fraction

Answer:

no, it not

Step-by-step explanation:

It's not a repeating decimal because

A fraction is a repeating decimal if the prime factors of the denominator of the fraction in its lowest form do not only contain 2s and/or 5s or do not have any prime factors at all. This is not the case here, which means that our answer is as follows:

12/6

= no.-repeating

Answer:

1: missing: x values are 4 and 2. missing y values are 20.

2: missing: x values are 12. missing y values are 5 and 3.

3: missing x value is 18. missing y value is 2 and 5.

4: missing x values are, 5, 8, and 12

fill in answers are going from in order left to right

The distance between two points can be calculated using the formula;

For points;

Given the points;

The distance between the two points can be calculated using the above formula;

The distance between the two points is;

The correct description regarding each table is given as follows:

1. Rate of change of 4, linear.

2. Rate of change of -2/3, linear.

3. Rate of change of 1/4, linear.

4. Rate of change of -1, linear.

5. Not linear.

6. Rate of change of 3, linear.

A linear function has the definition presented as follows:

y = mx + b.

In which:

A data-set will only be classified as linear if the rate of change is constant.

Hence the tables in this problem are classified as follows:

Learn more about linear functions at https://brainly.com/question/24808124

#SPJ1