1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jok3333 [9.3K]
3 years ago
6

Which of the following is most likely the next step in the series? A. B. C. D.

Mathematics
1 answer:
rusak2 [61]3 years ago
8 0

Answer:

A

Step-by-step explanation:

Note that the dots in both the upper and lower row increase by 1

The 3rd diagram has 4 dots in the upper and 3 in the lower , then

the next diagram should have 5 dots in the upper and 4 in the lower

This is the case in diagram A

You might be interested in
Find the number b such that the line y = b divides the region bounded by the curves y = 36x2 and y = 25 into two regions with eq
Gemiola [76]

Answer:

b = 15.75

Step-by-step explanation:

Lets find the interception points of the curves

36 x² = 25

x² = 25/36 = 0.69444

|x| = √(25/36) = 5/6

thus the interception points are 5/6 and -5/6. By evaluating in 0, we can conclude that the curve y=25 is above the other curve and b should be between 0 and 25 (note that 0 is the smallest value of 36 x²).

The area of the bounded region is given by the integral

\int\limits^{5/6}_{-5/6} {(25-36 \, x^2)} \, dx = (25x - 12 \, x^3)\, |_{x=-5/6}^{x=5/6} = 25*5/6 - 12*(5/6)^3 - (25*(-5/6) - 12*(-5/6)^3) = 250/9

The whole region has an area of 250/9. We need b such as the area of the region below the curve y =b and above y=36x^2 is 125/9. The region would be bounded by the points z and -z, for certain z (this is for the symmetry). Also for the symmetry, this region can be splitted into 2 regions with equal area: between -z and 0, and between 0 and z. The area between 0 and z should be 125/18. Note that 36 z² = b, then z = √b/6.

125/18 = \int\limits^{\sqrt{b}/6}_0 {(b - 36 \, x^2)} \, dx = (bx - 12 \, x^3)\, |_{x = 0}^{x=\sqrt{b}/6} = b^{1.5}/6 - b^{1.5}/18 = b^{1.5}/9

125/18 = b^{1.5}/9

b = (62.5²)^{1/3} = 15.75

8 0
3 years ago
Anyone know the answer?
SIZIF [17.4K]

Answer:

No

Step-by-step explanation:

No function, because the same output can't have two different inputs.

7 0
3 years ago
The graph of a system of equations shows the solution to be at (-6, 2). Which two of the following equations could
blondinia [14]

Answer:

Step-by-step explanation:

The graph shows the solution (-6,2)

i.e at x= -6 y=2

Analysis of each of the answers, since we can't write the equation of a straight line with only that information i.e the single point

Then,

Option 1

1. 2x - 3y = -6

x= -6 y=2

Then let insert x=-6 and y =2

2(-6)-3(2)

-12-6

-18.

Since -18 ≠ -6, then this is not the equation of the line and doesn't make up the system

Option 2

2. 4x - y = 26

Inserting x=-6 and y=2

4(-6)-(2)

-24-2

-26

Since -26 ≠ 26, then this is not the equation of the line and doesn't make up the system

Option 3

3. 3x + 2y = -14

Inserting x=-6 and y=2

3(-6)+2(2)

-18+4

-14

Since -14 ≠ -14 then this is the equation of the line and it make up the system.

Option 4

x-y = -2

Inserting x=-6 and y=2

(-6)-(2)

-6-2

-8

Since -8≠ -2, then this is not the equation of the line and doesn't make up the system

Option 5

5. x+y=-4

Inserting x=-6 and y=2

(-6)+(2)

-6+2

-4

Since -4 ≠ -4, then this is the equation of the line and it makes up the system.

Then, there are two option that make up the system

3. 3x + 2y = -14

And

5. x+y=-4

4 0
3 years ago
In triangle ABC, point D is the centroid, and BD = 6. Find BE.
pshichka [43]

Given:

In triangle ABC, point D is the centroid, and BD = 6.

To find:

The measure of side BE.

Solution:

We know that the centroid divides each median in 2:1.

In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.

Let BD and DE are 2x and x respectively.

We have, BD = 6 units.

2x=6

x=\dfrac{6}{2}

x=3

Now,

BE=BD+DE

BE=6+x

BE=6+3

BE=9

Therefore, the measure of side BE is 9 units.

6 0
3 years ago
A fountain in the park has two circular pools that are the same size. What is the total area of the pools if the radius is 3 yar
mihalych1998 [28]

Answer:

56.6 square yards.

Step-by-step explanation:

Given:

A fountain in the park has two circular pools that are the same size.

<u>Question asked:</u>

What is the total area of the pools if the radius is 3 yards ?

<u>Solution:</u>

First of all we will calculate the area of a circular pool.

As we know:

Area\ of\ circle=\pi r^{2}

                       =\frac{22}{7} \times(3)^{2} \\ \\ =\frac{22}{7}\times9\\ \\ =\frac{198}{7} \\ \\ =28.28\ square\ yards

Area of circular pool nearest tenth = 28.3 square yards

Now, as given that both pools are of same size.

Total area of the pools = 28.3 square yards + 28.3 square yards

                                      = 56.6 square yards.

Thus, the total area of the pools are 56.6 square yards.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Chase is a high school basketball player. In a particular game, he made some free throws (worth one point each) and some two poi
    14·2 answers
  • 4x- 3y= -19<br> 3x-2y=-12<br> linear systems<br> solve for y
    10·1 answer
  • Solve Quantity 9 plus x end quantity over 3x is equal to five-sixths. Show all work.
    15·2 answers
  • A box of LED light bulbs was tested to see how long the light bulbs last. The standard deviation of the light bulb lifetime
    15·1 answer
  • a carpenter uses four nails to install each shelf. complete the table to represent the relationship between the number of nails
    5·1 answer
  • Consider strings of length 10 which contain only letters from the set {A, E, I, O, U} and digits from {1, 3, 5, 7, 9}. Suppose r
    11·1 answer
  • I need to figure this out for a quiz in APEX. I can get the rest if I understand how to do this one.
    11·1 answer
  • What is the quotient of the fractions below? 7/2 divided by 1/3
    7·1 answer
  • Incase you need to answer some questions, how was your day? :))
    12·2 answers
  • What is 6(-5n + 7) simplified?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!