a state's license plate has 7 characters. each character can be a capital letter (a-z), or a digit except for 0 (1-9). how many license plates are there in which exactly 3 of the 7 characters are digits?

Answer:

Option 2

Step-by-step explanation:

0 is not included in the domain.

The area swept clean by the rear windshield wiper blade is approximately 11.63 * π square inches.

To calculate the area swept clean by the rear windshield wiper blade, we need to consider the sector formed by the blade's length and the angle it sweeps.

The radius of the circular path formed by the wiper blade can be calculated by subtracting the distance of the blade from the pivot point from the length of the arm:

Radius = Length of the arm - Distance of the blade from the pivot point

Radius = 15 inches - 3 inches

Radius = 12 inches

The angle of 130 degrees represents the fraction of the circle covered by the wiper blade. To find the area swept clean, we calculate the area of the sector:

\(Area of the sector = (Angle / 360 degrees) * π * (Radius^2)\)

Area of the sector = (130 / 360) * π * (12^2)

Area of the sector ≈ 11.63 * π square inches

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Answer:

-0.05

Step-by-step explanation:

Hope you get some good sleep! good night!

Answer:

Exact Form: -1/20

Decimal Form: -0.05

Step-by-step explanation:

Simple multiplication of fractions. See answer above.

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Answer:

(n-1) / 2

Step-by-step explanation:

We have that the sum has the form of:

Sn = n / 2 [2 * a + (n-1) * d]

we compute the terms of a and d

a = 1 - 1 / n

a = (n - 1) / n

, that is, the first term, in the case d is the subtraction between the second and the first term, thus:

d = 1 - 2 / n - (1 - 1 / n)

d = 1 - 2 / n - 1 + 1 / n

d = - 1 / n

now if replacing these values:

Sn = n / 2 * [2 * (n - 1) / n + (n-1) * (- 1 / n)

Sn = n / 2 * [2 * (n-1) - (n-1)] / n

Sn = 1/2 * (n-1)

Therefore, the value of that sum is (n-1) / 2

Answer:

-45x - 15

Step-by-step explanation:

(9x+3)-5

Multiply the bracket with -5

-45x -15

Answer:

$285

Step-by-step explanation:

The mode of 44 and 51 is 47.50 and 47.50 x 6 equals 285

Bob continues his research because even though there is no linear equation relationship between the number of bedrooms and selling price, there could be another type of relationship.

Bob continues his research because even though the correlation value he calculated between the number of bedrooms and the selling price was only 0.05, this does not necessarily mean that there is no relationship of any kind between these two variables. It simply means that there is no linear relationship between the two. There could still be other types of relationships between the two variables, such as an exponential or quadratic relationship. It is possible that further analysis and exploration of the data set would reveal such a relationship and allow Bob to uncover the relationship between the two variables. Additionally, even if the correlation value is low, it does not necessarily mean that there is no relationship between the two variables. It simply means that the relationship is weak. Therefore, Bob should continue his research in order to uncover any potential relationships between the number of bedrooms and selling price.

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Answer:

  A.  P(n) = 12·2^n

Step-by-step explanation:

From one generation to the next, the population grows by a factor of ...

  24/12 = 2

Only one offered expression is an exponential function with a base of 2:

  P(n) = 12·2^n

The lines intersect at the point (3,-2,10).

To determine whether the lines intersect, we need to find out whether there exists values of t and s that make the x, y,

and z values equal for both lines.

Setting the x-values equal, we get:

2t + 1 = 2s - 1

Solving for t in terms of s:

t = (2s - 2)/2 = s - 1

Setting the y-values equal, we get:

t - 2 = s - 3

Solving for t in terms of s:

t = s - 1

Since we get the same expression for t in terms of s when setting the x-values and y-values equal, we can substitute

that expression for t into the z-values for both lines and set them equal:

9t + 1 = s

Substituting t = s - 1:

9(s - 1) + 1 = s

Simplifying:

8s - 8 = 0

Solving for s:

s = 1

Substituting s = 1 into the expression for t, we get:

t = s - 1 = 0

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Step-by-step explanation:

4/3 + 11/12

3 = 12 = 12

12 ÷ 3 = 4

12 ÷ 12 = 1

4 × 4 = 16

1 × 11 = 11

16 + 11 = 27/12

Answer: 1000 dollars each

Step-by-step explanation: Assuming each student is providing an equal amount of money, which we are forced to with the lack of context, it's a simple division problem of 30,000 divided by 30, with 30 to represent the amount of students and 30,000 the total contribution. Using the Power Of Ten Rule, 10 x 1000 is 10,000, so 30 x 1,000 is 30,000, and therefore 30000 divided by 30 is 1,000

A person weighing 173 pounds can burn 10.7 calories per minute.

The given equation is ŷ=2.2+0.05x.

To solve this question, we can use the equation given, ŷ=2.2+0.05x. We can insert the known weight value, 173 pounds, to calculate the anticipated calories burned per minute.

y = 2.2 + 0.05x

y = 2.2 + 0.05 × 173

y = 10.7

Therefore, a person weighing 173 pounds can burn 10.7 calories per minute.

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"Your question is incomplete, probably the complete question/missing part is:"

By observing a set of data values, Thomas used a calculator for the weight (in pounds) and predicted the number of calories burned per minute to get an equation for the least-squares line: ŷ=2.2+0.05x

Based on the information gathered by Thomas, select the statement that is true.

a) A person weighing 149 pounds can burn 9.8 calories per minute.

b) A person weighing 134 pounds can burn 8.9 calories per minute.

c) A person weighing 125 pounds can burn 8.3 calories per minute.

d) A person weighing 173 pounds can burn 10.7 calories per minute.

Answer:

A person weighing 134 pounds can burn 8.9 calories a minute.

Step-by-step explanation:

Answer:

\(a_{n}\) = 2n + 7

Step-by-step explanation:

There is a common difference between consecutive terms , that is

11 - 9 = 13 - 11 = 15 - 13 = 17 - 15 = 2

This indicates the sequence is arithmetic with nth term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = 2 , then

\(a_{n}\) = 9 + 2(n - 1) = 9 + 2n - 2 = 2n + 7

Answer:

A.5/11

Semoga membantu

This is the same as \((x-2)^2\)

============================================

Explanation:

The middle coefficient is -4 and the last term is 4.

We need to find factors of the last term that add to the middle coefficient.

Here is a list of all ways to multiply two integers to get 4, and the sum of each pair of factors.

The second row of that list above is what we're after. So

-2 + (-2) = -4

-2 * (-2) = 4

Meaning the factorization is (x-2)(x-2). Note the "-2" values in each factor

We can use the FOIL rule or distribution to go from (x-2)(x-2) back to x^2-4x+4 to confirm the answer.

The linear function for the cost is given as follows:

C(t) = 10 + 3t.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

We have that each hour, the cost increases by $3, hence the slope m is given as follows:

m = 3.

For a time of 0 hours, the cost is of $10, hence the intercept b is given as follows:

b = 10.

Thus the function is given as follows:

C(t) = 10 + 3t.

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Answer:

the line of best fit is the line that you would draw in the middle of a scatter plot to try and have the line best represent the scatter plot with the scatter plots angle and direction. this image is an example of one: (ignore the numbers) the line is a best fit line.

Step-by-step explanation:

mr clean

The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

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The total amount in the bank account after 7 years will be $1490

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. The principal amount in simple interest is constant.

The formula for simple interest = (P*R*T)/100

where P = principal amount

R = rate of interest

T = time in years

As per the question,

P = 1000

R = 7%

T = 7 Years

Simple interest will be = (1000*7*7)/100 = $490

The amount of money in the savings account at the end of 7 years will be $1000 + $490 = $1490

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Answer:

10 more seed packets.

Step-by-step explanation:

36/9=4 so there are 4 seeds in each packet. If she already has 36 plants, she only need 40 more to get the 76 she wants. 40/4=10 so she needs 10 more seed packets.

The possible formula for P(x) would be \(P(x)=x^5+x^4-5x^3+3x^2\).

What is a polynomial?

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x² + 4x + 7 is an illustration of a polynomial with a single indeterminate x.

The polynomial of degree 5.

Each root corresponds to a linear factor, so we can write:

        \(P(x) = x^2(x-1)^2(x+3)\\\\P(x)=x^2(x^2-2x+1)(x+2)\\\\P(x)=x^5+x^4-5x^3+3x^2\)

Hence, the possible formula for P(x) would be \(P(x)=x^5+x^4-5x^3+3x^2\).

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The Pythagorean theorem is a fundamental concept in geometry that relates the lengths of the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Mathematically, it can be expressed as:

a² + b² = c²

where a and b are the lengths of the two legs of the right triangle, and c is the length of the hypotenuse.

The converse of the Pythagorean theorem states that if the square of the length of one side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

The Pythagorean theorem is a powerful tool in solving problems involving right triangles. It allows us to calculate unknown side lengths or determine whether a triangle is a right triangle based on the lengths of its sides. It has numerous applications in various fields, including engineering, architecture, physics, and navigation.

Understanding the Pythagorean theorem and its converse is essential for working with right triangles and applying geometric principles. It provides a foundation for further exploration of trigonometry and advanced geometric concepts.

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Answer:

$4

Step-by-step explanation:

due to it being reduces by %50 the money is split on half

Answer:

D

Step-by-step explanation:

Your answer is D trust me

Each side of cube is 100 cm.

In Maths or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.

Given that,

Volume of cube = 1 cubic meter

We know that,

1 m = 100 cm

Also  volume of cube = \(a^{3}\)

Then,

Volume of cube = 1000000 cm

                   \(a^{3}\)  = \(100^{3}\)

                   a = 100 cm

Hence, Each side of cube is 100 cm.

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Using the formula of surface area to calculate the height and using the formula for volume , The answer is 24.98 \(cm^{3}\) .

A cone is a three-dimensional geometric structure with a smooth transition from a flat base—often but not always circular—to the point at the top, also known as the apex or vertex.

The required formula are :

\(SA = \pi r (r + \sqrt {h^{2} + r ^ {2}})\)  (Surface Area)

\(V = \pi r^{2} \frac {h}{3}\) (Volume)

radius = 3 cm

Area= 66 \(cm^{2}\)

\(SA = \pi r (r + \sqrt {h^{2} + r ^ {2}})\)

h = 2.65 cm

\(V = \pi r^{2} \frac {h}{3} = \pi * 3^{2} * \frac {2.65}{3}\)

=24.98 \(cm^{3}\)

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Answer: 3m

Step-by-step explanation:

You're multiply 3 by m. Since this isn't possible unless you have m's value, you must write the expression as 3m.

Answer:

Greatest to least...

4 to the power of 13, 14 2/5, 14.33

Step-by-step explanation:

I got this correct on my test

the distance on the

coordinate plane between the

points (-2, 16) and (-2,-5) is 21