the nth term of a sequence is 8(n+3)
what are the first four terms?

Answer:

i is d i think so

Step-by-step explanation:

Answer:

it is A area of trapezoid = 1/2 × h( base1+base2) so it is 1/2× 8×(13+19)

Therefore, After 20 minutes, there are approximately 11.9 kg (rounded to one decimal place) of salt in the tank.

To solve this problem, we need to consider the rate of change of the amount of salt in the tank over time.

(a) Let's denote the amount of salt in the tank after t minutes as y (in kg). We can set up a differential equation to represent the rate of change of salt:

dy/dt = (rate of salt in) - (rate of salt out)

The rate of salt in is given by the concentration of salt in the incoming water (0 kg/L) multiplied by the rate at which water enters the tank (90 L/min). Therefore, the rate of salt in is 0 kg/L * 90 L/min = 0 kg/min.

The rate of salt out is given by the concentration of salt in the tank (y kg/9000 L) multiplied by the rate at which water leaves the tank (90 L/min). Therefore, the rate of salt out is (y/9000) kg/min.

Setting up the differential equation:

dy/dt = 0 - (y/9000)

dy/dt + (1/9000)y = 0

This is a first-order linear homogeneous differential equation. We can solve it by separation of variables:

dy/y = -(1/9000)dt

Integrating both sides:

ln|y| = -(1/9000)t + C

Solving for y:

y = Ce^(-t/9000)

To find the particular solution, we need an initial condition. We know that at t = 0, y = 12 kg (the initial amount of salt in the tank). Substituting these values into the equation:

12 = Ce^(0/9000)

12 = Ce^0

12 = C

Therefore, the particular solution is:

y = 12e^(-t/9000)

(b) To find the amount of salt in the tank after 20 minutes, we substitute t = 20 into the particular solution:

y = 12e^(-20/9000)

y ≈ 11.8767 kg (rounded to one decimal place)

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Answer: 1: x = 2y - 1 This equation shows that the value of x is always 2 times the value of y minus 1.

2: y = 3x + 3 This equation shows that the value of y is always 3 times the value of x plus 3.

3: y = (x/4) - 1 This equation shows that the value of y is always the value of x divided by 4 minus 1.

4: y = x-5 This equation shows that the value of y is always the value of x minus 5.

The height of the cylinder is \(3 inch\)

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

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

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

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Answer:

$713.8

Step-by-step explanation:

14%of 860 = 120.4

3% of 860 = 25.8

so, subtract the sum of the above 2 values from 860.

860 - (120.4+25.8) = 860-146.2 = 713.8

Hope this helps

Answer:

$713.008

Step-by-step explanation:

Answer:

1700

Step-by-step explanation:

Because it is above 1650, round up into the hundreds place, so it makes 1700!

If it is 1649 or below, you would round down to 1600.

Note: The hundreds place is the 3rd from the right, so use the two from the right to round!

Answer:

6000

Step-by-step explanation:

(2t + 3u)(2u - v) + 2(t -u)

(2(50) + 3(25))(2(25) - (16)) + 2((50) -(25))

(100+75)(50-16)+2(50-25)

(175)(34)+2(25)

5950+50

6000

Answer:

all I can say is the 4 one and the 6 one.

Step-by-step explanation:

Answer:

36 minutes

2 rounds for Priya

3 rounds for Ravish

Step-by-step explanation:

The answer is the LCM (least common multiple) of 12 and 18.

12 = 2^2 x 3

18 = 3^2 x 2

=>LCM of 12 and 18 = 2^2 x 3^2 = 4 x 9 = 36

=> After 36 minutes they meet again at the starting point

=> At that time, Priya has completed: 36/18 = 2 rounds

=> At that time, Ravish has completed: 36/12 = 3 rounds

After 36 minutes they meet again at the starting point.

In 36 minutes Priya and Ravish completed 2 and 3 rounds respectively.

The least common multiple (L.C.M) of two numbers is the “smallest non-zero common number” which is a multiple of both the numbers.

Prime factorization is defined as a way of finding the prime factors of a number, such that the original number is evenly divisible by these factors.

According to the given question.

Time taken by Priya to complete one round = 18 minutes

Time taken by Ravish  to complete the one round = 12 minutes

Therefore,

The number of minutes taken by Priya and Ravish to meet again at the starting point when they start the race same time = L.C.M (12, 18)

Since,

Prime factorization of

\(12 = 2\times 2 \times 3\)

And \(18 = 3 \times 3 \times 2\)

⇒ L.C.M of 12 and 18  = 2 × 2 × 3 × 3 = 4 × 9 = 36

Hence, after 36 minutes they meet again at the starting point.

Now, number of round completed by Priya in 36 minutes = \(\frac{36}{18}= 2\)

And the number of rounds completed by Ravish in 36 minutes = \(\frac{36}{12}\) = 3

Hence, in 36 minutes Priya and Ravish completed 2 and 3 rounds respectively.

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The Relationship between the points D(6, 9) and A(8, 12) can be described as a dilation with a factor of 1.5. Point A is located 1.5 times farther from the origin compared to point D, in both the horizontal and vertical directions. Additionally, A is an enlargement of D.

The relationship between the points D(6, 9) and A(8, 12) can be described in terms of dilations. In mathematics, a dilation is a transformation that changes the size of an object while keeping its shape intact. It involves scaling the object by a certain factor, either enlarging or reducing it.

To understand the relationship between D and A, we can calculate the dilation factor. The dilation factor, denoted by 'k', is the ratio of the corresponding side lengths or distances between the pre-image (original object) and the image (transformed object).

The dilation factor between D(6, 9) and A(8, 12):

First, we need to find the change in x-coordinates and y-coordinates:

Δx = 8 - 6 = 2

Δy = 12 - 9 = 3

Next, we calculate the dilation factor:

k = Δy / Δx = 3 / 2 = 1.5

The dilation factor of 1.5 indicates that the image point A is 1.5 times as far from the origin (point D) compared to the pre-image. This means that A is located at a greater distance from the origin than D, both horizontally and vertically.

Moreover, since the dilation factor is positive, the dilation is an enlargement. This means that A is enlarged with respect to D. The ratio of the corresponding side lengths will also be 1.5.

the relationship between the points D(6, 9) and A(8, 12) can be described as a dilation with a factor of 1.5. Point A is located 1.5 times farther from the origin compared to point D, in both the horizontal and vertical directions. Additionally, A is an enlargement of D.

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The number of students who were not vaccinated and did not get the flu is 115. (Option D)

In order to calculate the count of unvaccinated students who remained unaffected by the flu, we must deduct the number of unvaccinated students who contracted the flu from the overall number of unvaccinated students.

Total not vaccinated = 150

Not vaccinated and got the flu = 35

The number of students not vaccinated and did not get the flu = Total not vaccinated -

Not vaccinated and got the flu = 150 - 35 = 115.

Therefore, the answer is 115.

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Nurse Jackson examines immunization records for this past winter at the school where she works. Got flu Dldn't get flu Total E Vaccinated 12 438 450 Not vaccinated 35 115 150 Total 47 553 600 How many students were not vaccinated and did not get the flu? O A. 438 B. 35 O C. 150 D. 115

So first, we're gonna split these into their own little sections.

If Duncan drove 30 mph for 20 minutes, we need to think about the time for now. One hour is 60 minutes, and 20 minutes is 1/3 of an hour. If it's 30 miles per hour, then we'd need to split that into thirds to give it the twenty minute value, so in twenty minutes he drove 10 miles.

For the second part, we're gonna do the same thing. 40 mph in twelve minutes. 60 divided by 12 is 5. Then split the 40 mph into fifths. 40 / 5 = 8. Every twelve minutes, he drove 8 miles.

Add 10 and 8, and he drove a total of 18 miles to get home.

Answer:

2x^3

Step-by-step explanation:

Answer: $29.10

Step-by-step explanation:

1. Make a table, like the one shown in the image. You will need the item, its price, and how many are being bought.

2. Multiply the price and quantity of each item that is being bought.

3. Add all of the products together. This should get you the final price.

My steps are in the image. Hope this helps!

Answer:

Use colon method

Step-by-step explanation:

So it is more easy

The probability of obtaining a sum of 18 when rolling four dice and taking the sum of the three highest values can be calculated by determining the number of favorable outcomes and dividing it by the total number of possible outcomes.

When rolling four dice, each die can have six possible outcomes, ranging from 1 to 6. To find the probability of obtaining a sum of 18, we need to determine the number of favorable outcomes. In this case, we are interested in the three highest values summing up to 18.

To calculate this, we can use combinations. The three highest values that can result in a sum of 18 are 6, 6, and 6. We can choose these three values from the four dice in only one way. The remaining die can have any value from 1 to 6, giving us six possible outcomes.

Therefore, the number of favorable outcomes is 1, and the total number of possible outcomes is 6^4 (since each die has six possible outcomes and we are rolling four dice). Dividing the number of favorable outcomes by the total number of possible outcomes gives us the probability: 1/(6^4) ≈ 0.00077, or approximately 0.077%. Thus, the probability of obtaining a sum of 18 when rolling four dice and taking the sum of the three highest values is very low.

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The equation is 18 * (12 + g) = 297 and the solution is g = 4.5

From the question, we have the following parameters that can be used in our computation:

In 2021 = 297 milion

In 2021 = 18 times 12 million + g

using the above as a guide, we have the following:

In 2021 = 18 * (12  + g)

substitute the known values in the above equation, so, we have the following representation

18 * (12 + g) = 297

So, we have

12 + g = 16.5

Subtract 12 from both sides

g = 4.5

Hence, the equation is 18 * (12 + g) = 297 and the solution is g = 4.5

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There are three types of triangle according to sides and angles each.

The triangle is a type of polygon having three sides, angles and vertices.

Classification of triangles :-

Based on sides :-

1) Scalene triangle :- A triangle with all different measurements of sides and angles are called a Scalene triangle.

2) Isosceles triangle :- A triangle with two of the sides and angles are congruent called an Isosceles triangle.

3) Equilateral triangles :- A triangle with all the same measurements of sides and angles is called an Equilateral triangle.

Based on angles :-

1) Acute angled triangle :- A triangle with all the angles less than 90°, are called acute angled triangle.

2) Obtuse angled triangle :- A triangle with all the angles greater than 90° and less than 180°, are called Obtuse angled triangle.

3) Right angled triangle :- A triangle with one angle equals 90° is called a Right angled triangle.

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3cm is the length of the third side.

Given that an obtuse triangle with area 12 has two sides of lengths 4 and 10.

To find the length of the third side, we can use the formula for the area of a triangle; Area of a triangle = 1/2 × base × height, where base and height are perpendicular to each other.

Considering 4 and 10 as the base and height of the triangle respectively, the area of the triangle will be;

Area of the triangle = 1/2 × 4 × 10Area of the triangle

= 20 cm²

But given that the area of the triangle is 12 cm².

Thus, 20 cm² = 1/2 × 4 × 10 ⇒ length of the third side = 3 cm

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Answer: f(x)=x^2+2x+1 and g(x)=-x^2+1 ==> 1st option

Step-by-step explanation:

Both are quadratic equations: -x^2 or x^2

Blue graph: x^2 since it's facing up

f(x)=(x-b)^2

Vertex: When x=-1, y=0 ==> 0=(-1+b)^2

0=-1+b

b=1

f(x)=(x+1)^2

f(x)=(x+1)(x+1)

f(x)=x^2+x+x+1

f(x)=x^2+2x+1

Red graph: -x^2 since it's facing down

g(x)=-x^2+b

Vertex: When x=0, y=1 ==> 1=(0)^2+b

1=0+b

b=1

g(x)=-x^2+1

f(x)=x^2+2x+1 and g(x)=-x^2+1 ==> 1st option

Answer:

a)47/8

b)53/12

c)31/6

d)53/6

e)68/5

f)64/9

Step-by-step explanation:

Answer:

First add the fraction then the whole number

Step-by-step explanation:

a)47/8

b)53/12

c)31/6

d)53/6

e)68/5

f)64/9

Answer:

19.98

Step-by-step explanation:

calculate

Answer:

ydyeheuuru u ieuegeoeororpe

The correct answer is the average speed for the entire trip is 34.5 miles per hour and The integral that represents this information is as follows: f(x)dx = ∫23 dx + ∫69 dx Where x represents the distance travelled in miles.

To find out the average speed for the entire trip, we will use the formula for average speed which is given as follows: Average speed = Total distance/Total time

Let's calculate the time taken to travel 138 miles at 23 mi/h

Speed = 23 mi/h

Distance = 138 mi

Time taken = Distance/Speed = 138/23 = 6 hours

Now, let's calculate the time taken to return back to the starting point, which is again 138 miles away but this time at 69 mi/h.

Speed = 69 mi/h

Distance = 138 mi

Time taken = Distance/Speed = 138/69 = 2 hours

Now, the total time taken for the entire trip is 6 + 2 = 8 hours.

The total distance travelled for the entire trip is 2 x 138 = 276 miles.

Now we can use the formula for average speed to calculate the average speed of the entire trip.

Average speed = Total distance/Total time = 276/8 = 34.5 miles per hour

Therefore, the average speed for the entire trip is 34.5 miles per hour.

The integral that represents this information is as follows: f(x)dx = ∫23 dx + ∫69 dx Where x represents the distance travelled in miles.

The limits of integration are from 0 to 138 for both integrals, representing the forward and backward journeys.

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Answer:

y= -x+5

y=mx+b

m=slope=-1

b=y-intercept=5

Answer:

The slope is 2

Step-by-step explanation:

We are going to call (0,0) the point where Corey began walking. If he walked three blocks east he would be at the point (3,0), once there he walks 6 blocks north and make it to the point (3,6)

The slope m of the line that passes through point (0,0) and (3,6) is

Answer:

2

Step-by-step explanation:

give the other dude brainliest

The provided code defines a function called wrapzeros that takes a matrix M as input and returns the same matrix with an additional row and column of zeros added to the top, bottom, left, and right of the original matrix.

Here's a possible implementation of the wrapzeros function in MATLAB

function M = wrapzeros(M)

% Insert a row of zeros on the top and bottom, and a column of zeros on the left and right of a matrix

% Get the size of the input matrix

[m, n] = size(M);

% Create a new matrix with zeros on all sides

M_new = zeros(m+2, n+2);

% Copy the input matrix to the center of the new matrix

M_new(2:end-1, 2:end-1) = M;

% Set the first and last row and column to zeros

M_new(1,:) = 0;

M_new(end,:) = 0;

M_new(:,1) = 0;

M_new(:,end) = 0;

% Return the new matrix

M = M_new;

end

This function creates a new matrix M_new with dimensions m+2 by n+2, and copies the input matrix to the center of it.

It then sets the first and last row and column of M_new to zeros, effectively adding a row of zeros on the top and bottom, and a column of zeros on the left and right of the input matrix. Finally, it returns the new matrix.

Running the function with the provided input would produce the following output

a = [1 2; 3 4];

b = wrapzeros(a);

disp(b);

Output:

   0 0 0 0

   0 1 2 0

   0 3 4 0

   0 0 0 0

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--The given question is incomplete, the complete question is given below " Write a function that takes a matrix M as input, inserts a row of zeros on the left, on the right, at the top, and at the bottom of the matrix and returns the resulting matrix in MATLAB.

>>

a = wrapzeros( [ 1 2; 3 4] )

a=   0   0   0   0

      0   1   2   0

      0   3   4   0

      0   0   0   0"--

Answer:

A good scale is go by 5,000 or 2,000 and a good interval is...

Step-by-step explanation:

Answer:

Step-by-step explanation:

Interval for the y axis is 3000

Answer:

The correct answer us 9/15<4/4

Can I please have a brainliest? I want to rank up :)