If all the dates in June were used to form a sequence, would the sequence be finite or infinite?
Finite
Infinite

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

[tex]c = -3 - 6 + 9[/tex]

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

[tex]d = 4 - 8[/tex]

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]

Answer:

B. 0.9%

Step-by-step explanation:

If the diameter of the meteor is 750 miles, then its radius is 750/2 = 375 miles

The radius of the earth is 3959 miles

Assuming that both bodies are spherical, their surface are:

meteor's surface: π*r² = π*375² = 441786.467 miles²

Earth's surface: π*3959² = 49240321.1 miles²

If 49240321.1 miles² represents 100% then 441786.467 miles² represents:

49240321.1 miles² / 100% = 441786.467 miles² / x%

x = 441786.467/49240321.1*100

x = 0.9%

Answer:

B) 0.9%

Step-by-step explanation:

Answer:

The correct/valid answer is A. a cone with a base radius of 17 units

Step-by-step explanation:

The 3d shape that is developed when the figure is rotated at k is a actually a cone with a base radius of 17 whole units. Given the triangle's perimeter, the base can now be solved by using the mathematical expression, 58= 24+ 2x, where x is actually the base radius of the given triangle.

Mark as brainliest please, I need a few more :D

The cone with a base radius of 17 units  best describes the resulting three-dimensional  shape.

Given that,

Based on the above information, the calculation is as follows:

58 =  24+ 2x

58 - 24 = 2x

34 = 2x

x = 17

Learn more: brainly.com/question/17429689

Answer:

x = 4

Step-by-step explanation:

5x-50=30-15x

5x +15x =30+50

20x= 80

Divide both sides of the equation by 20

x = 4

I hope it helps

Answer:

B

Step-by-step explanation:

The equation that satisfies the above table is y = 8[tex](\frac{1}{2})^{x}[/tex]

Given,

Table between x and y .

Here,
To get the equation between x and y first justify the data given in the table.

So,

When,

x = -3 , y = 64

x = -2 , y = 32 .

In the equation  y = 8[tex](\frac{1}{2})^{x}[/tex] substitute the values of x and check for y .

Put x = -3 ,

y = 8[tex](1/2)^{-3}[/tex]

y = 8 * 8

y = 64

Thus it satisfies the value given in the table .

So the correct equation will be Option B .

Know more about equations,

https://brainly.com/question/14686792

#SPJ2

Answer: The radius is 12.

Step-by-step explanation:

75/n where N is representing pie. We have to divide pie to find the diameter.

75/3.14= 24  Now we know the diameter is about 24  so we will divide by 2 to find the radius.

24/2=12

Answer:

1)  12in

Step-by-step explanation:

The circumference is 75, so to find the diameter you have to divide 75 by 3.14. You get 24 approximately. Then divide the diameter by 2, so 24/2=12.

is there a picture to this??

Answer:

A.) Never meet.

Step-by-step explanation:

It’s A they never meet

Answer:

The horizontal asymptote is x-axis

Step-by-step explanation:

The horizontal asymptote is the y axis not x axis

Answer:

g = -13

Step-by-step explanation:

5(g-2)+g=6(g-4)

5g - 10 + g = 6g - 24

5g + g - 6g = -24 + 10

6g - 6g = -13

g = -13

Answer:

see below

Step-by-step explanation:

Let w = width

L = length = w+5

The area is l*w

A = (w+5)*w

A = w^2 +5w

Answer:

I think negative correlation

Step-by-step explanation:

Answer:

negative correlation is the answer

Step-by-step explanation:

Answer:

good luck

have a good day - be safe - and healthy too

Answer:

8+i

Step-by-step explanation:

Answer:

8 + 1 i

if im wrong soooooorrrrrrryyyyyy

Step-by-step explanation:

The answer is B

35+50+35+20=140

175-140= 35

Answer:

[tex](-\frac{1}{4}, \frac{5}{8} )[/tex]

Step-by-step explanation:

If you label the points on the axes, it will show that point K is actually on [tex]\frac{5}{8}[/tex] not [tex]\frac{3}{4}[/tex]

Answer:

The number of meal combinations, She has to choose:

N = 3 x 4 x 3 =36

Hope this helps!

:)

Answer:

A. 3,864 ft²

B. 1,319.585 ft²

C. 2,544.415 ft²

Step-by-step explanation:

Area of triangle:

½ × 92 × 84

3864 ft²

Area of circle:

pi × r²

3.14 × 20.5²

1319.585 ft²

Difference:

3864 - 1319.585

2544.415 ft²

Solving for each equation:

A: True.

[tex]\frac{n}{2} +3 *4 = \frac{n}{2}+12\\\\\frac{n}{2} + 12 = \frac{n}{2} + 12[/tex]

B: False.

[tex]\frac{1}{3}z+\frac{2}{3}z * 9 = 9z\\\\\frac{1}{3} z+6z = 9z[/tex]

C: True, given that y = 1

[tex]-8y +4.3y + 3.7 = 0\\\\-3.7y = -3.7[/tex]

D: True, given that b = 6.66667

[tex]12-1.8b+1.8b=1.8b\\12 = 1.8b[/tex]

E: True.

[tex]\frac{m}{8} + 7(\frac{m}{8} ) =m\\\\\frac{m}{8} + (\frac{7m}{8} )= m\\\\\\\frac{8m}{8} = m\\[/tex]

Answer:

1

Step-by-step explanation:

The maximum value of sin(x) is 1.

When x = 90 degrees sinx = 1.

Answer:

117

Step-by-step explanation:

Here, we have to find the result when 4680 is divided by 40.

Meg wants to simplify the process of division here.

We know that 4680 can be written as 4000 + 600 + 80.

So,

[tex]4680 \div 40 = (4000 \div 40) + (600\div 40) + (80\div 40)\\\\\Rightarrow 100 + 15 + 2\\\Rightarrow 117[/tex]

This method makes division very easy if we have to find results of division for large numbers. This example is an illustration of the same.

Please refer to image attached for results.

Hence, Meg gets the result as 117.

Answer:

The correct option is (C) 10.

Step-by-step explanation:

The five-number summary for the number of teams in each of Brad's fantasy football leagues is as follows:

Minimum: 4

Q₁: 7

Median: 10

Q₃: 14

Maximum: 18

The minimum value is the smallest value in the data set.

The first quartile (Q₁) is the value that is less than 75% of the observations.

The median is the middle most value of the data set. It is the value that is less than 50% of the observations.

The third quartile (Q₃) is the value that is less than 25% of the observations.

And the maximum value is the largest value in the data set.

So, the five-number summary suggests that about 50% of Brad's fantasy football leagues have fewer than 10 teams.

Thus, the correct option is (C).

Answer:it is 1/2

Hopefully this helps

Answer:

Event A: stops on red

Event B: stops on yellow

Find P(A or B)

1/2

Step-by-step explanation:

Area of the parallelogram=bh

b=20cm

h=12cm

Area=12*20=240cm²

Answer:

D

Step-by-step explanation:

Answer:

1) C  2) (-2,0) 3) 4)  5) c )S={(0,3)} 6) (0,2) 7)  8) Missing graph 9) Vertical line (check below) 10) B 11)

Step-by-step explanation:

1) Solving by the Addition/Elimination Method. Firstly, let's reduce one variable by making some algebraic adjustments and then adding it up:

2) Solving by Substitution Method. Where y=x+2 is plugged in the 2nd equation.

3) Solving it, again, by the Substitution Method due to the I equation form:

4) By the Addition Method

5) To use the graph method to solve the system of Linear equations is possible by graphing each equation on the Cartesian Plane.

Check the graph below, this system has only one solution.

c)S={(0,3)}

6) Solving y=-1/3x+2 y=x+2

(Check the graph below)

A) A) (0, 2)

7) Solving by Substitution Method:

8) Missing graph

9)

Check the graph below its answer

10) Solving by the Addition Method

11) Sorry, missing graph for the question.

12) Sorry, missing graph for the question.

13) D Check the graph below

14) Sorry, missing graph for the question.

Answer

Step-by-step explanation:

To find the area of a shape multiply its height by its width. For a square  you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

please mark me as brainliest.

Answer:

[tex]7 units^2[/tex]

Step-by-step explanation:

You can split this irregular shape into a square and a trapezoid.

The formula for a square is:

[tex]A=lw[/tex]

The formula for a right trapezoid:

[tex]A=\frac{1}{2} (h)(a+b)[/tex]

Area of square:

[tex]A=(2)(2)\\A=4[/tex]

Area of right trapezoid:

[tex]A=\frac{1}{2} (2)(1+2)\\A=3[/tex]

Add up the individual areas to find the overall:

4 + 3 = 7