DUE SOON PLEASE HELP :((((

If the pattern below continues, in which column would the number 100 be? The number 500?

A | B | C | D | E |
1 | 2 | 3 | 4 | 5 |
9 | 8 | 7 | 6 | ? |
10| 11| 12| 13 | 14|
18| 17| 16| 15| ? |

The number of such n is \($\boxed{2}$.\)

The first term of the sequence is \($101$.\)

Therefore, the $n$th term is given by \($10^n+1$.\)

We must determine how many of the first $2018$ numbers in the sequence are divisible by \($101$.\)

By the Remainder Theorem, the remainder when $10^n+1$ is divided by $101$ is $10^n+1 \mod 101$.

We must find all values of $n$ between $1$ and $2018$ such that

\($10^n+1 \equiv 0 \mod 101$.\)

By rearranging this equation, we have \($$10^n \equiv -1 \mod 101.$$\)

Notice that

\($10^0 \equiv 1 \mod 101$, \\$10^1 \equiv 10 \mod 101$, \\$10^2 \equiv -1 \mod 101$, \\$10^3 \equiv -10 \mod 101$, \\$10^4 \equiv 1 \mod 101$\)

, and so on.

Thus, the remainder of the powers of $10$ alternate between 1 and -1.

Since $2018$ is even, we must have \($10^{2018} \equiv 1 \mod 101$.\)

Therefore, we have \($$10^n \equiv -1 \mod 101$\) if and only if n is an odd multiple of $1009$ and $n$ is less than or equal to 2018.

The number of such n is \($\boxed{2}$.\)

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Answer: weight 40

Step-by-step explanation:

Answer: Option 1

Step-by-step explanation:

hope this helps pls mark me brainiest

Answer:

Many northerners were opposed to the Mexican-American War. Many southerners supported this conflict. A big reason for the different viewpoints regarding our involvement in this war was the issue of slavery. ... The northerners were concerned that many new states would be created from the lands we would receive from Mexico

The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

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The bearing of A from B = 253°, while the bearing of B from A = 073°

Bearing is usually measured in degrees, with 0° indicating the reference direction (usually North), and increasing clockwise to 360°. It refers to the direction or angle between a reference direction and a point or object.

The bearing of point A from point B is the angle between the line connecting point A and point B and the North direction, measured clockwise

bearing of A from B = 253°.

The bearing of point B from point A is the angle between the line connecting point B and point A and the North direction, measured clockwise.

bearing of B from A = 073°

Therefore, the bearing of A from B = 253°, while bearing of B from A = 073°.

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Answer:

m = -1/2

Step-by-step explanation:

m = y1 - y2/x1 - x2

2 - 0/0 - 4

-2/4

Simplify

-1/2

Answer:

You did not include the graphs, but I can explain how the graph is and so you can recognize it.

1) for x = 0, y = sin(0) = 0, so the  origin (0,0) is part of the graph.

2) The range of the function is the interval [-1, 1]. This is, y is from -1 to 1, and the graph oscilates (is a wave) between those minimum and maximum.

3) The periodicity, P, of the function is such that 0.5P = 2π = > P = 4π

That means that the values repeat every 4π interval (which is the same that 720°)

4) The zeroes of the function are 2π * n, where n is any whole number (negative, zero or positive).

That means that the function crosses the x-axis at

..., -6π, -4π, 2π, 0, 2π, 4π , 6π, ...

5) It is an odd function (which means that f(x) = sin(0.5x) = - f(-x) = - sin(-0.5x).

Now you have plenty information to identify the graph.

I also include a graph of the function in the attached pdf file.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

150=(55-c)(5.5-t)

5.5-t=150/(55-c)

-t=(150-302.5+5.5c)/(55-c)

t=(152.5-5.5c)/(55-c)

150=(55+c)t   using t found about

150=(55+c)(152.5-5.5c)/(55-c)

8250-150c=8387.5-302.5c+152.5c-5.5c^2

5.5c^2=137.5

c^2=25

c=5

So the current is 5mph.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sum of all the angles is 180

<A + 90 + 50 = 180

<A + 140 = 180

<A =  40

Use cos x = adjacent side/hypotonuse

Use 50 as your reference angle

cos 50  = 19/c          >cross multiply

c cos 50 = 19            >divide both sides by cos 50 to solve for c

c= 19/cos 50            >plug in

c=29.6

Now use tan x = opposite side/ adjacent side

Use 50 as your reference angle

tan 50 = b/19             >multiply both sides by 19

b= 19 tan 50              >plug in

b= 22.6

Answer:0

Step-by-step explanation: 36 divided by 12 equals 3

Answer:

4

Step-by-step explanation:

I went by the photo not what you typed.

6∧2 ÷ (12 - 3)

36 ÷ (9)

4

Hope this helps. Pls give brainliest.

The pair of linear equations that can be used to disprove Daveed's claim is y = 2x + 3 and y = 2x + 5.

Daveed's claim states that a system of two linear equations must have at least one solution as long as the lines have different intercepts. However, the pair of linear equations y = 2x + 3 and y = 2x + 5 disproves this claim.

Both equations have the same slope of 2, indicating that the lines are parallel. In this case, the lines will never intersect, regardless of their different intercepts (3 and 5, respectively). Since the lines are parallel and will never cross, there is no common solution to the system of equations. This contradicts Daveed's claim that as long as the lines have different intercepts, there will always be a solution.

Therefore, the pair of linear equations y = 2x + 3 and y = 2x + 5 can be used to disprove Daveed's claim about the existence of at least one solution in a system of linear equations with different intercepts.

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Answer:

To determine the missing parts of the triangle, we can use the law of cosines, which states that for a triangle with sides of lengths a, b, and c and angles opposite those sides of A, B, and C, respectively:

c^2 = a^2 + b^2 - 2ab cos(C)

b^2 = a^2 + c^2 - 2ac cos(B)

a^2 = b^2 + c^2 - 2bc cos(A)

Using the given values of a, b, and c, we can solve for the angles A, B, and C.

a = 8.1 in

b = 13.3 in

c = 16.2 in

c^2 = a^2 + b^2 - 2ab cos(C)

cos(C) = (a^2 + b^2 - c^2) / (2ab)

cos(C) = (8.1^2 + 13.3^2 - 16.2^2) / (2 * 8.1 * 13.3)

cos(C) = 0.421

C = cos^-1(0.421)

C ≈ 97.3°

b^2 = a^2 + c^2 - 2ac cos(B)

cos(B) = (a^2 + c^2 - b^2) / (2ac)

cos(B) = (8.1^2 + 16.2^2 - 13.3^2) / (2 * 8.1 * 16.2)

cos(B) = 0.268

B = cos^-1(0.268)

B ≈ 54.8°

We can find angle A by using the fact that the sum of the angles in a triangle is 180°:

A = 180° - B - C

A = 180° - 54.8° - 97.3°

A ≈ 27.9°

Therefore, the missing parts of the triangle are:

A ≈ 27.9°

B ≈ 54.8°

C ≈ 97.3°

So, the answer is option 1.

One time SAS iterates through the data step.

What are iterations in SAS?

You can repeatedly run a series of statements between DO and END depending on the value of an index variable by using the iterative DO statement. The iterative DO loop can have many different shapes. You can use a SAS data set to conditionally select data by using the DO UNTIL and DO WHILE instructions.

Here, we have

Given jenny 3.95 odun 3.90 Caleb 3.25 bros 2.98; run

We have to calculate how many times SAS iterates through the data step.

We concluded from a given condition that Since there is no loop check condition used so the program will execute one time sequentially.

Hence, One time SAS iterates through the data step.

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The times spent in training is an illustration of proportions

The times spent in training is 80 hours

The given parameters are:

Time spent = 6 hours

Time spent as a percentage = 7.5%

Let the total time spent in training be x.

The scenario is represented by the following equation

Time spent = Time spent as a percentage  * Total Time

So, we have:

6 = 7.5% * x

Express percentage as decimal

6 = 0.075 * x

Divide both sides by 0.075

80 = x

Rewrite as:

x = 80

Hence, the times spent in training is 80 hours

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Answer:

3/4, 90 marbles

Step-by-step explanation:

just did the math and that came out

Answer:

George gave away 9/12 or 3/4 of his marbles

Step-by-step

1/3=4/12

5/12+4/12=3/4

I hope this answers your question!

Area: The total space covered by the two-dimensional surface of an object, or a flat shape is called an area.

Many different area formulas are available to get the area of various two-dimensional shapes. We can also get a shape's area by counting the number of unit squares that cover the whole surface of the object.

This method helps us to learn and make out the concept of area.

The unit of area is forever measured in square units like square centimeters, square meters, square inches, and so on.

Volume: The space enclosed within the object or the space covered by any three-dimensional solid object is known as volume.

To find the volume, we divide the occupied space into equal cubical units and calculate the total occupied cubical units, The unit of volume can be in a cubic centimeter, cubic meter, cubic inches, and so on.

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In mathematics, a vector is a mathematical object that represents both magnitude and direction. It is typically represented as an ordered list of values and can be used to describe physical quantities such as force, velocity, and acceleration.

To find the value(s) of lambda such that the vectors v1=(-3,1,-2), v2=(0,1,lambda), and v3=(lambda,0,1) are linearly dependent, we'll use the determinant method. We'll create a matrix with the three vectors as rows and find its determinant. If the determinant is zero, the vectors are linearly dependent.

The matrix is:

| -3  1  -2  |
|  0  1 lambda|
|lambda 0  1  |

Now, let's find the determinant:

(-3) * | 1 lambda|
          | 0  1  |  - (1) * | 0 lambda|
                                  |lambda 1 | + (-2) * | 0  1  |
                                                     |lambda 0|

Calculating the minors:

(-3) * (1) - (1) * (-lambda^2) + (-2) * (-lambda) = -3 + lambda^2 + 2*lambda

Now, we set the determinant equal to zero since we want the vectors to be linearly dependent:

-3 + lambda^2 + 2*lambda = 0

Solving the quadratic equation:

lambda^2 + 2*lambda + 3 = 0

Since this quadratic equation has no real solutions (the discriminant is negative), it means that for any value of lambda, the vectors will always be linearly independent.

So, the correct answer is:
a) These vectors are always linearly independent

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The total amount money after thirteen years of savings will be $5030.63

To calculate the amount of money in the account today, we need to calculate the future value of each contribution separately and then add them together.

Let's start by calculating the future value of the initial deposit of $2400 over the first five years at an interest rate of 8% compounded annually.

Using the formula for compound interest:

Future Value = \(Principal\) * \((1 + Interest Rate)^{Time}\)

Future Value = $2400 * (1 + 0.08)⁽⁵⁾

Future Value = $2400 * (1.08)⁵

Future Value = $2400 * 1.46933

Future Value = $3526.40

So, after five years, the initial deposit will grow to $3526.40.

Now, let's calculate the future value of the additional deposit of $1000 over the last eight years at an interest rate of 5.5% compounded annually.

Future Value = $1000 * (1 + 0.055)⁸

Future Value = $1000 * (1.055)⁸

Future Value = $1000 * 1.50423

Future Value = $1504.23

So, after eight years, the additional deposit will grow to $1504.23.

Now, let's add the two amounts together to find the total amount in the account today:

Total Amount = $3526.40 + $1504.23

Total Amount = $5030.63

So, the total amount money after thirteen years of saving will be $5030.63

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Complete question:

Thirteen years ago, you deposited $2400 into a superannuation fund. Eight years ago, you added an additional $1000 to this account. You earned 8%, compounded annually, for the first five years, and 5.5%, compounded annually, for the last eight years. How much money do you have in your account today?

Answer: binary searches, finding the smallest or largest value in a binary search tree, and certain divide and conquer algorithms.

Step-by-step explanation: O(log N) is a common runtime complexity. Examples include binary searches, finding the smallest or largest value in a binary search tree, and certain divide-and-conquer algorithms. If an algorithm is dividing the elements being considered by 2 in each iteration, then it likely has a runtime complexity of O(log N).

Answer:

1/2000

Step-by-step explanation:

The probability of less than two successes is approximately 0.0000082944.


To calculate the probability of less than two successes in a binomial experiment with 10 trials and a probability of success of 0.8 on each trial, we can use the binomial probability formula. The probability can be found by summing the probabilities of getting 0 and 1 success in the 10 trials.

In a binomial experiment, the probability of getting exactly x successes in n trials, where the probability of success on each trial is p, is given by the binomial probability formula:

P(x) = C(n, x) * p^x * (1 - p)^(n - x)

In this case, we want to find the probability of less than two successes, which means we need to calculate P(0) + P(1). Since we have 10 trials and a probability of success of 0.8, the calculations are as follows:

P(0) = C(10, 0) * 0.8^0 * (1 - 0.8)^(10 - 0)

    = 1 * 1 * 0.2^10

    = 0.2^10

P(1) = C(10, 1) * 0.8^1 * (1 - 0.8)^(10 - 1)

    = 10 * 0.8 * 0.2^9

    = 10 * 0.8 * 0.2^9

Finally, we add the probabilities:

P(less than two successes) = P(0) + P(1)

                          = 0.2^10 + 10 * 0.8 * 0.2^9

P(less than two successes) = 0.2^10 + 10 * 0.8 * 0.2^9

                          = 0.0000001024 + 10 * 0.8 * 0.000001024

                          = 0.0000001024 + 0.000008192

                          ≈ 0.0000082944

Therefore, the probability of less than two successes is approximately 0.0000082944.


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In order to find the value of t, use the following formula for the amount obtained after a time t in compounded interest:

where,

A: final amount = 8100

P: initial amount = 5000

n: times at year = 4 (quaterly)

t: time = ?

r: rate = 7.5% = 0.075

By replacing the previous values into the expression for A, we get:

Next, we apply log with base 1.01875 to cancel this base right side, as follow:

Hence, the required time is approximately 6.49 years

Answer:

x = -25/12 or x = -0.2

Step-by-step explanation:

x(x+5)+6(x+5)=(x+5)

Distribute

x^2 + 5x + 6x + 30 = x + 5

Combine

x^2 + 11x + 30 = x + 5

Subtract 1x from both sides

x^2 + 10x + 30 = 5

Subtract 30 from both sides

12x = -25

Divide 12 on both sides

x = -25/12 or -0.2

Answer:

$39.055

Step-by-step explanation:

100% + 7% = 107%

\(\frac{y}{36.5} :\frac{107}{100}\)

y · 100 = 107 · 36.5

100y = 3905.5

100y ÷ 100 = 3905.5 ÷ 100

y = 39.055

An angular resolution of 0.56 arcseconds is required to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

Angular resolution is defined as the minimum angle between two objects that enables a viewer to see them as distinct objects rather than as a single one. A better angular resolution corresponds to a smaller minimum angle. The angular resolution formula is θ = 1.22 λ / D, where λ is the wavelength of light and D is the diameter of the telescope. Thus, the angular resolution formula can be expressed as the smallest angle between two objects that allows a viewer to distinguish between them. In arcseconds, the answer should be given to two significant figures.

To see the Sun and Jupiter as distinct points of light, we need to have a good angular resolution. The angular resolution is calculated as follows:

θ = 1.22 λ / D, where θ is the angular resolution, λ is the wavelength of the light, and D is the diameter of the telescope.

Using this formula, we can find the minimum angular resolution required to see the Sun and Jupiter as separate objects. The Sun and Jupiter are at an average distance of 5.2 astronomical units (AU) from each other. An AU is the distance from the Earth to the Sun, which is about 150 million kilometers. This means that the distance between Jupiter and the Sun is 780 million kilometers.

To determine the angular resolution, we need to know the wavelength of the light and the diameter of the telescope. Let's use visible light (λ = 550 nm) and assume that we are using a telescope with a diameter of 2.5 meters.

θ = 1.22 λ / D = 1.22 × 550 × 10^-9 / 2.5 = 2.7 × 10^-6 rad

To convert radians to arcseconds, multiply by 206,265.θ = 2.7 × 10^-6 × 206,265 = 0.56 arcseconds

The angular resolution required to see the Sun and Jupiter as distinct points of light is 0.56 arcseconds.

This is very small and would require a large telescope to achieve.

In conclusion, we require an angular resolution of 0.56 arcseconds to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

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At most, they can wash 96 cars and mow 96 lawns.

To determine the maximum number of cars they can wash and lawns they can mow, we need to consider the work rates of each person and the total number of hours they work.

Huey can wash 6 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 6 \(\times\) 8 = 48 cars or mow 3 \(\times\) 8 = 24 lawns.

Dewey can wash 3 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 3 \(\times\) 8 = 24 lawns.

Louie can wash 3 cars or mow 6 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 6 \(\times\) 8 = 48 lawns.

Since two of them wash cars and one mows lawns, the maximum number of cars they can wash is the sum of the maximum cars each person can wash, which is 48 + 24 + 24 = 96 cars.

The maximum number of lawns they can mow is the sum of the maximum lawns each person can mow, which is 24 + 24 + 48 = 96 lawns.

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This question seems extremely odd to me. I don't really even understand what's being asked.

As far as exponential functions go, it's missing an exponent for one. The dependent variable is missing. This essentially saying f(x) = -4 or y = -4. Which is fine, but is definitely not an exponential function and in a very odd and incomplete form to begin with.