use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042 C. 2994 D. 3024

Answer:

250

Step-by-step explanation:

245 / 0.98 = 250

Answer:

n = √2/8

Step-by-step explanation:

1/4 × √ 2 = 2n

√2/4 = 2n

√2 = 4×2n

8n = √2

n = √2/8

The value of n in

[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]

is n = √2 / 8

The given equation is:

[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]

Multiply through by 4

[tex] \sqrt{2} = 4(2n)[/tex]

This can be further simplified as

[tex] \sqrt{2} = 8n[/tex]

[tex] \frac{ \sqrt{2} }{8} = \frac{8n}{8} [/tex]

The like terms cancel out

[tex]n = \frac{ \sqrt{2} }{8} [/tex]

Therefore, the value of n in

[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]

is

[tex]n = \frac{ \sqrt{2} }{8} [/tex]

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Answer:

B. 2/3

Step-by-step explanation:

Answer:

[tex]g(1)=1[/tex]

Step-by-step explanation:

Use just the definition for the appropriate section of the Domain that includes x=1,

that is the third definition:

[tex]g(x)=x^3-x^2+1\\g(1)=(1)^3-(1)^2+1\\g(1)=1[/tex]

Hello! :)

________ ☆ ☆______________________

Answer:

3/5

Step-by-step explanation:

Here is the work:

You only have to subtract and you will get your answer.

5/5-2/5=3/5

We know 1 whole equals to 5/5, and there is 2/5 boys

So there will be 3/5 girls

Hope this helps! :)

_________ ☆ ☆________________________

By, BrainlyMember ^-^

✨ Good luck! ✨

Answer: 3/5c

Step-by-step explanation:

2/5 is 40%.  100-40=60.  Thus, 60% of c, or 3/5c are girls.

Hope it helps <3

Answer:

0

Step-by-step explanation:

Given the points J (1,-10) and K (7, 2)

From the section formula

[tex](x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)[/tex]

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is obtained using the formula:

[tex]y=\dfrac{my_2+ny_1}{m+n}\\m=5, n=1, y_1=-10, y_2=2\\Therefore:\\y=\dfrac{5*2+1*-10}{5+1}\\=\dfrac{10-10}{6}\\=0[/tex]

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

The y coordinate of the point that divides J to K in the ratio 5 : 1 is 0.

If a point O(x, y) divides the line segment AB with end points A(x₁, y₁) and B(x₂, y₂) in the ratio n:m, the coordinate of O is:

[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]

Let O(x, y) represent the point dividing J to K in the ratio 5 : 1. K(7,2) and J(1, -10)Hence:

[tex]y=\frac{5}{5+1}(2-(-10)) + (-10)=0[/tex]

The y coordinate of the point that divides J to K in the ratio 5 : 1 is 0.

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Answer: A. (-3,7)

Step-by-step explanation:

No work needed, you just need to look at the coordinate plane.

Coordinate II is x as a negative and y as a positive

Answer:

D, (5,-1)

5 is in the x axis

-1 is in the y axis

This point is it the second quadent

Hope this helps ( if incorrect try a)

→Answer:

8T - 7lb - 6oz

→Step-by-step explanation:

So 17T 13lb 3oz - 9T 20lb 9oz

This information is asking us to simplify the expression.

To do that we need to combine like terms meaning If t and t are alike variables they go together.

And in this expression we have 3 pairs of alike variables which are T, lb, and oz.

So we need to subtract all the like terms.

_____________

17T - 9T is 8T

13lb - 20lb is -7lb

3oz - 9 oz is -6oz

______________

So,

The expression now shows 8T - 7lb - 6oz.

___________________I do hope this helps!________________

_____________Brainliest is always appreciated!_____________

Answer:

$162.50

Step-by-step explanation:

Answer:

87.5

You need to take 30 percent from 125 and subtract it to get the wholesale price

In my view option D but it can be wrong

Answer:

C

Step-by-step explanation:

Factor: -7x^2 -5x+18

Factor -1 out of 7x^2 -5x +18:

−(7x^2+5x−18)

Factor.

1. 18 is negative, so a negative number multiplied by a postive number.

2. You can't factor 7, so 7x times x.

(7x−9)(x+2)

Answer: the correct answer is C

Step-by-step explanation:

Answer:

your number is 18

Step-by-step explanation:

x^2 = (x × 10 ) + 144

x^2 = 10x + 144

x^2 - 10x - 144 = 0

using quadratic method

your answer should be

(x- 18) ( x+8 )

Answer:

positive

Step-by-step explanation:

Answer:

x+8

Step-by-step explanation:

This is because in this answer, there are two terms with an addition sign in between them.

Answer:

54

Step-by-step explanation:

Total pictures in the roll = 36

half of the roll = 1/2 of the total pictures in the roll = 1/2 * 36 = 18

Given Paul made 2 prints of each of the half pictures

no. of prints made of half of the pictures = 18*2 = 36

No. of prints left after the half of the roll is printed for two prints= 36-18 = 18

No. of prints made of rest of the pictures 1

Therefore , no of prints made of rest half of pictures = 18*1 = 18

Total prints made = 36 + 18 = 54.

Thus, Paul made 54 prints in all.

Answer:

14.86 knots.

Step-by-step explanation:

Given that:

The boats leave the port at noon.

Speed of boat 1 = 12 knots due east

Speed of boat 2 = 8 knots due south

At 2 pm:

Distance traveled by boat 1 = 24 units due east

Distance traveled by boat 2 = 16 units due south

Now, speed of boat 1 changes to 9 knots:

At 3 pm:

Distance traveled by boat 1 = 24 + 9= 33 units due east

Distance traveled by boat 2 = 16+8 = 24 units due south

Now, speed of boat 1 changes to 8+7 = 15 knots

At 5 pm:

Distance traveled by boat 1 = 33 + 2[tex]\times[/tex] 9= 51 units due east

Distance traveled by boat 2 = 24 + 2 [tex]\times[/tex] 15 = 54 units due south

Now, the situation of distance traveled can be seen by the attached right angled [tex]\triangle AOB[/tex].

O is the port and A is the location of boat 1

B is the location of boat 2.

Using pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units[/tex]

so, the total distance between the two boats is 74.28 units.

Change in distance per hour = [tex]\dfrac{Total\ distance}{Total\ time}[/tex]

[tex]\Rightarrow \dfrac{74.28}{5} = 14.86\ knots[/tex]

Answer: Graph C

Step-by-step explanation:

The correct graph is C.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given : On a piece of paper, graph y - 3 > 2x + 2.

To find : determine which answer choice matches the graph you drew,

y - 3 > 2x +  2

y > 2x + 5

x = 0

y > 5

x = - 3

y > - 1

at x = 0,  y = 5

0 < 5

origin does not lie in the shaded region,

as y > 2x + 5

line y = 2 x+ 5 is not part of solution (dotted line)

Hence Graph C is correct

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Answer:

Volume = 1114.1 [tex]in^3[/tex]

Step-by-step explanation:

Recall that the formula for the volume of a pyramid is given by:

[tex]Volume=\frac{1}{3} \,B\,*\,H[/tex]

where B is the area of the pyramid's base (in our case a square of side 12,8 in), and H the pyramid's height (in our case 20.4 in).

Then the square base of the pyramid has an area given by: [tex](12.8\,\,in)^2=163.84\,\,in^2[/tex]

Finally,we can now write the volume of the pyramid as:

[tex]Volume=\frac{1}{3} \,B\,*\,H\\Volume=\frac{1}{3} \,(163.84)\,*\,20.4\,\,in^3\\Volume=1114.112\,\,in^3[/tex]

Rounding the answer to a tenth of a cubic inch, we get:

Volume = 1114.1 [tex]in^3[/tex]

Answer:

8

Step-by-step explanation:

8 is greater than 7

Answer:

[tex] \boxed{\sf (8x + y)(2x + 3y)} [/tex]

Step-by-step explanation:

[tex] \sf Factor \: the \: following: \\ \sf \implies {(5x + 2y)}^{2} - {( 3x - y)}^{2} \\ \\ \sf Factor \: the \: difference \: of \: two \: squares. \\ \sf {(5x + 2y)}^{2} - (3x - y)^{2} = ((5x + 2y) + (3x - y)) \\ \sf ((5x + 2y) - (3x - y)) : \\ \sf \implies ((5x + 2y) + (3x - y))((5x + 2y) - (3x - y)) \\ \\ \sf Grouping \: like \: terms, \: 5x + 2y + 3x - y = \\ \sf (5x +3x) + (2y - y) : \\ \sf \implies \boxed{ \sf( (5x +3x) + (2y - y))}((5x + 2y) - (3x - y) \\ \\ \sf 5x + 3x = 8x : \\ \sf \implies (\boxed{ \sf 8x} + (2y - y))((5x + 2y) - (3x - y)) \\ \\ \sf 2y - y = y : \\ \sf \implies (8x + \boxed{ \sf y})((5x + 2y) - (3x - y)) \\ \\ \sf - (3x-y)=y-3x: \\ \sf \implies (8x + y)(5x + 2y + \boxed{ \sf y - 3x}) \\ \\ \sf Grouping \: like \: terms, \: 5x + 2y + y - 3x = \\ \sf (5x - 3x)(2y + y) : \\ \sf \implies (8x + y) + \boxed{ \sf ((5x - 3x)(2y + y))} \\ \\ \sf 5x - 3x = 2x : \\ \sf \implies (8x + y)( \boxed{ \sf 2x} + (2y + y)) \\ \\ \sf 2y + y = 3y : \\ \sf \implies (8x + y)(2x + \boxed{ \sf 3y})[/tex]

Answer:

(8x+y)(2x+3y)

Step-by-step explanation:

see attached

Answer:

Circle Circumference: 5

Triangle: 8

Circle Area: 3

Regular Polygon: 7

Parallelogram:6

Equilateral triangle: 1

Trapezoid:4

Rectangle:2

Step-by-step explanation:

I don't know how I would do a step by step explanation

Answer:

A. 2x + 15

Step-by-step explanation:

3(2x + 5) - 4x =

= 6x + 15 - 4x

= 2x + 15

Answer: A. 2x + 15

Answer:

2x +15

Step-by-step explanation:

3(2x + 5) − 4x

Distribute

6x + 15 -4x

Combine like terms

2x +15

The question is incomplete.

Complete Question

Correct 36.2598 to

a) to one decimal place.

b) To the nearest hundredth.

c) to nearest 0.001

d) to the nearest whole number

Answer:

a) to one decimal place = 36.3

b) To the nearest hundredth= 36.26

c) to nearest 0.001 = 36.260

d) to the nearest whole number = 36

Step-by-step explanation:

From the question, we are to round up 36.2598 to the following:

a) to one decimal place.

Rounding up 36.2598 to one decimal place means we are looking at the first number after the decimal which is 2. The number after it is 5, so we are adding one to 2. Hence,

36.2598 to one decimal place = 36.3

b) To the nearest hundredth:

Rounding up 36.2598 to the nearest hundredth means we are rounding up to 2 decimal places. This means we are looking at the second number after the decimal which is 5. The number after it is 9, which is higher than 5 so we are adding one to 5. Therefore,

36.2598 to the nearest hundredth = 36.26.

c) to nearest 0.001

Rounding up 36.2598 to the nearest 0.001 means we are rounding up to the nearest thousandth which is 3 decimal places.

This means we are looking at the third number after the decimal which is 9. The number after it is 8, which is higher than 5 so we are adding one to 9.

Therefore,

36.2598 to the nearest 0.001 = 36.260

d) to the nearest whole number

Rounding up 36.2598 to the nearest whole number means we are rounding up the number before the decimal place. That number is 6. We look at the first digit after the decimal, it is less than 5, 6 remains unchanged, if it is 5 and above, we add one to 6.

For our question, the number after the decimal is 2, it is less than 5 so 6 remains unchanged.

36.2598 to the nearest whole number = 36.

Answer:

Step-by-step explanation:

We should first find the volume of one of the rectangular bricks.

10×6×4=240in³.

Now, let's divide 13,200in³ by 240in³.

13,200÷240=55

Hope this helps! (It's probably too complicated, I'm very sorry ;-;)

Answer:

1

Step-by-step Explanation

Step-by-step Explanation

[tex] \huge{ \red{ \csc \: \frac{\pi}{2}} = \purple{ 1}} \\ [/tex]

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the SURFACE AREAS AND VOLUMES.

Since the given section is a Sector of a Circle with length as, 8πcm .

Thus then it's folded veltically at an axis to make a cone.

since we know that, The Curved surface area of a cone is given as formula,

C.S.A = πrl

where, r = radius and l = slant height.

also 2πr = circumference of a circle,

we get as, radius = 4 cm.

Answer:

r = 4 cm

Step-by-step explanation:

AB is actually the circumference of the circle

So,

Circumference = 8π cm

Whereas,

Circumference = 2πr

8π = 2πr

Dividing both sides by 2π

=> r = 4 cm

Answer:

See below.

Step-by-step explanation:

To complete the table, start by copying the given function.

f(x) = |-2x + 4|

Now let's start with the first line of the table: x = 6.

You are finding the value of function f when x = 6.

Replace x with 6 and evaluate the expression.

f(6) = |-2(6) + 4|

f(6) = |-12 + 4|

f(6) = |-8|

f(6) = 8

Second line of table:

x = -1

f(x) = |-2x + 4|

f(-1) = |-2(-1) + 4|

f(-1) = |2 + 4|

f(-1) = |6|

f(-1) = 6

For the third and fourth lines, you are given a y value, or the value of function f, and you are looking for x. Now you use the given value to set the function equal to, and you solve for x.

Line 3: f(x) = 4

f(x) = |-2x + 4|

|-2x + 4| = 4

-2x + 4 = 4   or   -2x + 4 = -4

-2x = 0   or   -2x = -8

x = 0    or   x = 4

Line 4: f(x) = 14

f(x) = |-2x + 4|

|-2x + 4| = 14

-2x + 4 = 14   or   -2x + 4 = -14

-2x = 10   or   -2x = -18

x = -5    or   x = 9

The table looks like this:

x          f(x)

6         8

-1         6

0,4      4

-5, 9     14

[tex] \end{center} [/tex]

For the given function f(x) = | -2x + 4 |, the data is shown in the table below.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that the function is,  f(x) = | -2x + 4

Let's begin with the table's first line: x = 6, When x equals 6, you are determining the value of function f. Evaluate the equation after substituting 6 for x.

f(6) = |-2(6) + 4|

f(6) = |-12 + 4|

f(6) = |-8|

f(6) = 8

For the Second line of the table,

x = -1

f(x) = |-2x + 4|

f(-1) = |-2(-1) + 4|

f(-1) = |2 + 4|

f(-1) = |6|

f(-1) = 6

The third line of the table,

f(x) = 4

f(x) = |-2x + 4|

|-2x + 4| = 4

-2x + 4 = 4   or   -2x + 4 = -4

-2x = 0   or   -2x = -8

x = 0    or   x = 4

Line 4: f(x) = 14

f(x) = |-2x + 4|

|-2x + 4| = 14

-2x + 4 = 14   or   -2x + 4 = -14

-2x = 10   or   -2x = -18

x = -5    or   x = 9

Thus, for the given function f(x) = | -2x + 4 |, the data is shown in the table below.

Learn more about the function here,

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Answer:

Option A.

Step-by-step explanation:

We need to find a table for which the y-value will be the greatest for very large values of x.

From the given table it is clear that the largest value of x in all tables is 5.

In table A, y=64 at x=5.

In table B, y=32 at x=5.

In table C, y=40 at x=5.

In table D, y=13 at x=5.

It is clear that 64 is the greatest value among 64, 32, 40 and 13.

It means table in option A represents the function for which the y-value will be the greatest for very large values of x.

Therefore, the correct option is A.

Answer:

Option A

Step-by-step explanation:

Took the quiz

Answer:

x = 1

Step-by-step explanation:

This is a 30-60-90 triangle, which means that if the long leg is the square root of 3, the hypotenuse is 1.

Answer:

X=1

Step-by-step explanation: