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My name is Ann [436]
3 years ago
11

In an arithmetic sequence {an}, if a1 = 5 and d = 3, the first 4 terms in the sequence are

Mathematics
2 answers:
noname [10]3 years ago
6 0
A1 represents the first term

d represents the common difference.....and since the common difference is 3, u have to add 3 to each term to find the next term....because with an arithmetic sequence u add to find the next term, whereas, in a geometric sequence u multiply to find the next term

5...first term
5 + 3 = 8...2nd term
8 + 3 = 11...3rd term
11 + 3 = 14...4th term

ur answer is B
motikmotik3 years ago
5 0
a_n=a_1+(n-1)d\\\\a_1=5;\ d=3\\\\substitute\\\\a_n=5+(n-1)\cdot3=5+3n-3=3n+2\\\\a_1=3\cdot1+2=5\\a_2=3\cdot2+2=8\\a_3=3\cdot3+2=11\\a_4=3\cdot4+2=14\\a_5=3\cdot5+2=17\\\vdot

Answer:\boxed{B)\ \{5;\ 8;\ 11;\ 14;\ 17;\ ... \} }
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Plz help me I had to put it was math Bc there is no science option plz help me thank you.
SVEN [57.7K]

Answer:

  see the attached

Step-by-step explanation:

To fill in the data table, you need information about the layers of the Earth. That information is provided in the second attachment.

Among other things, it shows the density of the rock layers varies over a range of almost 6 to 1 from the top layer to the inner core. Your representative liquids vary in density over a range of about 1.8 to 1, so clearly cannot match the relative densities.

In the attached spreadsheet, we have used the average of the top and bottom density values for each layer to represent the density of the layer. Then we did a <em>linear</em> mapping so that the minimum density maps to lamp oil, and the maximum density maps to honey. (You get slightly different results if you use a different mapping strategy.)

For your convenience in stacking your "density cylinder", we have shown the relative thickness of each of the layers as a percentage of the overall radius of the Earth. That is, if your cylinder is 100 mL deep, for example, then the top layer will be 0.5 mL deep, the next layer 11.3 mL deep, and so on.

__

We have elected not to use alcohol for the top layer, because it is miscible with all of the liquids immediately below that in the table. That is, you could not maintain alcohol as a separate layer in your cylinder because it would dissolve into the layer below. It might take a little effort (or care) to keep the lamp oil separated from the vegetable oil, as we expect those might try to mix, as well.

If you compare the scaled density values with the values for the "representative" liquids we have chosen, you will see that some are closer than others. The idea is to try to get the best match, while also choosing liquids that don't mix well.

7 0
2 years ago
Help with this pls?????
Alenkinab [10]

Answer:

83.74 in squared

Step-by-step explanation:

The area of the original rectangle is: 14 * 8 = 112 in squared.

The area of a circle is \pi r^{2}, where r is the radius. In this case, we know the diameter is 6, so the radius is 3. Then, the area of the circle is:

3.14 * 3^2 = 3.14 * 9 = 28.26 in squared.

The remaining area is just the total minus the circle area:

112 - 28.26 = 83.74 in squared

6 0
3 years ago
Read 2 more answers
In triangle ABC, the size of angle B is 5 times the size of angle A, and the size of angle C is 7 less than 4 times the size of
kipiarov [429]
It sounds like everything is being described in reference to angle A, so a good starting point is to pick a variable to represent the measure of angle A. I'm going to use "a" for that.

Next, I'm going to take the verbal descriptions in the problem and "translate" them into "math language". They say angle B is 5 times angle A, so that means the measure of angle B is actually 5a. The size of angle C is 5 degrees less than 4 times the size of A, so that translates to 4a-5.

We now know the following:

Angle A: a
Angle B: 5a
Angle C: 4a-5

Now, to find the value of a, we need to remember that all the angles in a triangle add up to 180 degrees.

So we have: a+5a+4a-5 = 180

We can solve that equation by combining like terms to get: 10a-5=180

We can add 5 to both sides: 10a =185

And divide by 10: a = 18.5

That tells us the measure of angle A! (It's 18.5 degrees). Now we can go back and find B by multiplying A by 5. We get 92.5 degrees for that.

Finally, we can find C by taking 4*18.5-5. We get 69 degrees for that.

One last thing-- let's check that they really do add up to 180! 69+92.5+18.5 = 180. Yep!

Hope that helps you!!
5 0
2 years ago
The ratio of side lengths of a quadrilateral is 3 : 5 : 6 : 9, and its perimeter is 9.2cm. What is the length of the longest sid
wolverine [178]

Answer:

longest side=3.6

let ratio 3:5:6:9be 3x,5x,6xand9x

perimeter= sum of all side

9.2=3x+5x+6x+9x

9.2=23x

x=9.2÷23

x=0.4

9x=9×0.4=3.6

6x=6×0.4=2.4

5x=5×0.4=2

3x=3×0.4=1.2

5 0
2 years ago
If line q has a slope of -3/8 what is the slope of any line perpendicular to q?
kompoz [17]

Answer:

new slope = 4/3

Step-by-step explanation:

-3/8 is perpendicular to the new slope

=> new slope = -8/3 * -1/2

= 8/6

= 4/3

please give me brainliest if it is helpful for you

7 0
2 years ago
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