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Makovka662 [10]
3 years ago
8

Which formula can be used to describe the sequence? , −4, −24, −144,...

Mathematics
1 answer:
natima [27]3 years ago
7 0
Y = -4*6^(x-1). This is a geometric sequence, so you need a common ratio and a first term. The first term in this sequence is -4, and the common ratio is 6, so you will get this.
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Let R be the region in the first quadrant bounded by the graphs of y =x^2 and y=2x, as shown in the figure above. The region R i
Kobotan [32]

Answer:

The area between the two functions is approximately 1.333 units.

Step-by-step explanation:

If I understand your question correctly, you're looking for the area surrounded by the the line y = 2x and the parabola y = x², (as shown in the attached image).

To do this, we just need to take the integral of y = x², and subtract that from the area under y = 2x, within that range.

First we need to find where they intersect:

2x = x²

2 = x

So they intersect at (2, 4) and (0, 0)

Now we simply need to take the integrals of each, subtracting the parabola from the line (as the parabola will have lower values in that range):

a = \int\limits^2_0 {2x} \, dx - \int\limits^2_0 {x^2} \, dx\\\\a = x^2\left \{ {{x=2} \atop {x=0}} \right - \frac{x^3}{3}\left \{ {{x=2} \atop {x=0}} \right\\\\a = (2^2 - 0^2) - (\frac{2^3}{3} - \frac{0^3}{3})\\\\a = 2^2 - \frac{2^3}{3}\\a = 4 - 8/3\\a \approx 1.333

So the correct answer is C, the area between the two functions is 4/3 units.

3 0
3 years ago
Read the following paragraph. How does sentence 4 develop the main idea of the paragraph?
saul85 [17]

Answer:

This sentence shows Elion's determination and commitment to learn.

Step-by-step explanation:

During this time she also took classes at New York University, where she earned a master's degree in 1941.

3 0
4 years ago
Helo me out with this question ????
Ann [662]

Answer:

Congruent

To be honest they are equal but in this question there is no option as equal so we can choose congruent

6 0
3 years ago
The pair of triangles that are congruent by ASA criterion is
stealth61 [152]

Answer:

The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.

The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.

Step-by-step explanation:

Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.

Two triangles are congruent by SAS if  two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles  Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.

4 0
3 years ago
Without looking, Tammy takes a marble out of a bag that contains 10 red marbles, 15 green marbles, and 25 blue marbles. She reco
TEA [102]
I think it’s 18 and I will explain how I got that

Explanation: so first I added all the marbles she took out to see the total she took out which was 50 and if she did it 90 times I need to see how much time 50 she did it more and that was so 90 divided by 50 is 1.8 and that times 10 (times because we want to see how many times the red marble would come out) and that’s 18
8 0
3 years ago
Read 2 more answers
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