The 8th term of a linear sequence is 18 and the 12th term is 26. Find the first term, the common difference and the 20th term

Answer:

24

Step-by-step explanation:

when x = 5,

4(5-2)(5-3) + 7(5-2)(5-5) - 6(5-3)(5-5)

= 4(3)(2) + 7(3)(0) - 6(2)(0)
= 24

Answer:

9.411

Step-by-step explanation:

Answer:9.144

Step-by-step explanation:

Answer:

they played 20 games together

Step-by-step explanation:

use percentages

Let x be the number of total games.

If 60% is won games then 40% is lost games.

(8/x)*100 = 40

8/x = 4/10

80 = 4x

X = 80/4

Therefore the number of games is 20

Answer:

24

Step-by-step explanation:

The way you calculate the volume of a shape is length x width x height. 4 x 3 x 2 = 24.

Factor out the numerator first

The hole is at x-3=0 i.e x=3

And

The hole is at (3,6)

The geometric series will be D. 2 + 14 + 98 + 686 because it is having a common ratio 7.

In mathematics, a geometric series is the sum of an infinite number of terms that have a constant or common ratio between successive terms

A. 6 + 13 + 20 + 27 .

the difference between two terms are 13-6 = 7 , 20-13= 7

The terms are increasing by 7. So it is not geometric

B. 7 + 21 + 35 + 45

the difference between two terms are 21-6 = 14 , 35-21= 14

The terms are increasing by 14. So it is not geometric

C. 14 + 21 + 28 + 35

the difference between two terms are 21-14 = 7 , 28-21= 7

The terms are increasing by 7. So it is not geometric

D. 2 + 14 + 98 + 686

Here the difference is not same, so we find the ratio

14/2= 7

98/14= 7

686/98= 7

So common ratio is 7

When the common ratio is same then it is Geometric series

Hence the geometric series will be D. 2 + 14 + 98 + 686 because it is having a common ratio 7.

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Answer:

D

Step-by-step explanation:

multiplied by 7 each time

Answer:

they are three I will explain

Step-by-step explanation:

x+4/3÷6/x

this 3 expressions are equivalent to the equation above

1. x+4/3{x/6}

2. {x/6}x+4/3

3. x^2 + 4x /18

[tex]~~~~~5\sin 2x +4 =10 \sin^2 x\\\\\implies 5\cdot 2\sin x \cos x+4 =10 \sin^2 x\\\\\implies 10 \sin x \cos x +4 = 10\sin^2 x\\\\\implies 10\tan x + 4\sec^2 x = 10\tan^2 x~~~~~;[\text{Divide both sides by}~ \cos^2 x]\\\\\implies 10\tan^2 x -10 \tan x -4(1+ \tan^2 x)=0\\\\\implies 10\tan^2 x -10 \tan x -4 -4\tan^2 x =0\\\\\implies 6 \tan^2 x -10 \tan x -4 =0\\\\\implies 3 \tan^2 x -5 \tan x -2 =0~~~~~;[\text{Divide both sides by 2}]\\\\\implies 3\tan^2 x - 6\tan x +\tan x -2 =0\\\\[/tex]

Answer:

- sign indicates the fact that it's Below sea level

Answer:

-60 = x

Step-by-step explanation:

(-1/4)x - 12 = x + 3

(-1/4)x = x + 15

-0.25x = x + 15

-60 = x

Your answer is 53

Yw :D

1)

[tex]\longrightarrow (-\dfrac{1}{2} +2)[/tex]

[tex]\longrightarrow (-\dfrac{1}{2} +\dfrac{4}{2} )[/tex]

[tex]\longrightarrow \dfrac{-1+4}{2}[/tex]

[tex]\longrightarrow \dfrac{3}{2}[/tex]

[tex]\sf \bold{\longrightarrow 1\dfrac{1}{2}}[/tex]         (final answer)

2)

[tex]\longrightarrow \sf 4(\dfrac{1}{2} +\dfrac{5}{4} ) + (-5)[/tex]

[tex]\longrightarrow \sf 4(\dfrac{2}{4} +\dfrac{5}{4} ) + (-5)[/tex]

[tex]\longrightarrow \sf 4(\dfrac{7}{4} ) + (-5)[/tex]

[tex]\longrightarrow \sf 7-5[/tex]

[tex]\longrightarrow \bold{\sf 2}[/tex]        (final answer)

Answer:

minus 48 to 90 then divide the answer by 2

Answer:

42°

Step-by-step explanation:

The 2 acute angles in a right triangle add up to 90°

90° - 48° = 42°

Hope this helps

Answer:

10

Step-by-step explanation:

My guy just plug in the number for x it's not that hard

Answer: Alex 28

Frank 22

Step-by-step explanation: Age difference is 6. Addition is 50

A circle is a curve sketched out by a point moving in a plane. The point that lies on the circle is (-4, 12), (-6, 6), and (4, 16).

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

The simple way to do such questions is to make the given circle and plot the points on the graph. As shown below.

The other way to do the question is to find the distance between the centre point of the circle and the point if it is equal to the radius of the circle, the point will lie on the circle, otherwise not.

The formula to find the distance between the two points on a graph is,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Hence, the point that lies on the circle is (-4, 12), (-6, 6), and (4, 16).

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Answer:

i cant see the photo, but i would love to help

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

All you're doing is adding 1.5 each time

Hope this helps :)

Answer:

a = 39.2650873379cm

b = 11.5529459767cm

Step-by-step explanation:

a - Use the area of a triangle equation -  1/2 * a * b * Sin(C)

1/2 * 8 * 10 * Sin(79) = 39.2650873379cm

b - Use the cosine rule - c^2 = a^2 + b^2 - (2 * a * b * Sin(C)

64 + 100 - (2 * 8 * 10 * Cos(79)) = 133.4705607398

c = square root of 6.9396506484 = 11.5529459767cm

Put to however many significant figures / decimal places required.

:)

the slope is m= -1/5.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

y_2 - y₁ = m(x₂ - x₁).

here, we have,

the slope of the line that passes through the points (-1, 6) and (14, 3)

Slope: m=  y_2 - y₁/(x₂ - x₁).

              = 3-6/14+1

              = -1/5.

hence, the slope is m= -1/5.

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Answer:

NOT a right triangle

Step-by-step explanation:

IF it is a right triangle, then the Pythagorean theorem would apply

13^2 + 82^2  = 83^2   ?????

169  + 6724  = 6889

6893  = 6889 ?     No...it is NOT a right triangle

Answer:

45 im not to shur

Step-by-step explanation:

10 + 7 + 9 + 11 + 8 = ?

? = 45

Answer:

x = -1

Step-by-step explanation:

First we expand both sides :

Let's start with the right side:

6(x-1) = 6x-6

Now we do the left side:

4(x-2) = 4x-8

Now we add 6 to both sides:

(6x-6)+6 = (4x-8)+6

Simplify:

6x = 4x -2

Subtract 4x from both sides:

6x - 4x = (4x-2) - 4x

Simplify:

2x = -2

Divide both sides by 2:

2x÷2 = -2÷2

Simplify:

x = -1

I dont see a box so can't do the second part.

Hope this helps and brainliest please

Answer:

48%

Step-by-step explanation:

First, we need to add the amounts together to be able to see what percent of all the cups are dirty. (228 + 247 = 475). Now we can find one percent of 475 we can do this by moving the decimal point two to the left. (4.75). so If 4.75 is 1% we can multiply 4.75 until we get 228.

4.75 x 20 = 95.

4.75 x 40 = 190

4.75 x 45 = 213.75

4.75 x 50 = 237.5

4.75 x 48 = 228

Since every time we multiplied by 1 more we went up 1%. We multiplied by 48 so 48%.

base= 25 mm

height= 28 mm

the volume of the square pyramid.

[tex]volume = {a}^{2} \frac{h}{3} [/tex]

[tex]v = {25}^{2} \frac{28}{3} [/tex]

[tex]v = 5833.33333 {mm}^{3} [/tex]

[tex]v = 5833.3 {mm}^{3} [/tex]

Arithmetic sqaure: a + (n-1) * d

              where "a" is the first term, "d" is the common difference

Here given:

a = 10 gallons

d = 5.5 gallons

Solve for first 5 terms:

10 + (1-1) * 5.5 = 10

10 + (2-1) * 5.5 = 15.5

10 + (3-1) * 5.5 = 21

10 + (4-1) * 5.5 = 26.5

10 + (5-1) * 5.5 = 32

first five terms: 10, 15.5, 21, 26.5, 32

General formula

So

Answer:

8

Step-by-step explanation:

From 5 to get to 20 it would be (X4), so we would do the same for the 2, and 2 times 4 would be 8. The answer is 8.

Answer:

7 with a remainder of 2

Step-by-step explanation:

i just did the math rn