What is the next term of the geometric sequence?
20, -10,5,

Answer:

A

Step-by-step explanation:

As

Option b- is false as the top speed is 18

Option c - is false as there lesser than 17 roadrunners

Option d- is false as everything is above 12

Option a- is true as 14 is like the average ...

I hope im right!

Answer:

B.)[tex]\sqrt{245}[/tex]

Step-by-step explanation:

[tex]\sqrt{245}[/tex]=15.65

7[tex]\sqrt{5}[/tex]=15.65

Hope this helps! :)

Answer:

its is B

Step-by-step explanation:

I just put 7/5 and put the answers below in my calculator and got whatever went with the answer when I put 7/5 (I dont have the square root sign)

Answer:

[tex](5x - 3y + 2)^2=25x^2+9y^2+4-30xy-12y+20x[/tex]

Step-by-step explanation:

We need to expand (5x – 3y + 2)² using identity.

Using identity,

[tex](a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac[/tex]

We have, a = 5x, b = -3y and c = 2

So,

[tex](5x - 3y + 2)^2=(5x)^2+(-3y)^2+2^2+2(5x)(-3y)+2(-3y)(2)+2(2)(5x)\\\\=25x^2+9y^2+4-30xy-12y+20x[/tex]

So, the required answer is [tex]25x^2+9y^2+4-30xy-12y+20x[/tex].

Answer:

3.24 feet

Step-by-step explanation:

A 17 -ft ladder leans against a building so that the angle between the ground and the ladder is 79 . Find the distance between the building and the ladder

We solve the above question using the Trigonometric function of Cosine

cos x = Adjacent/Hypotenuse

Adjacent = x feet

Hypotenuse = 17 ft

The angle = 79°

Hence,

cos 79 = x/17

Cross Multiply

x = cos 79 × 17

x = 3.2437529214.feet

Approximately = 3.24 feet

Therefore, the distance between the ladder and the building = 3.24 feet

Answer:

The difference between the principal and the compound interest in three years is Rs 17,994

Step-by-step explanation:

The compound interest is given according to the following formula;

[tex]C.I. = P \cdot \left ( 1 + \dfrac{r}{n} \right ) ^{n\cdot t} - P[/tex]

The given amount of the compound after 2 years = Rs 5,460

The given amount of the compound after 4 years = Rs 12,066.60

Therefore, we have;

[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P[/tex]...(1)

[tex]12,066.60 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{4} - P[/tex] ...(2)

Dividing equation (2) by (1), we have;

[tex]\dfrac{12,066.60}{5,460} = \dfrac{P \cdot \left ( \left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1\right )}{P \cdot \left (\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 \right ) } =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 }[/tex]

[tex]Let \ \left ( 1 + \dfrac{r}{100} \right ) ^{2} = x, we \ get;[/tex]

[tex]\dfrac{12,066.60}{5,460} =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 } = \dfrac{x^2 - 1}{x - 1}[/tex]

∴ 12,066.60 × (x - 1) = 5,460 × (x² - 1) = 5,460 × (x - 1) ×(x + 1)

∴ 12,066.60 × (x - 1)/(x - 1) = 5,460 × (x + 1)

12,066.60/5,460 = x + 1

x =  12,066.60/5,460 - 1 = 1.21 = 121/100

x = 121/100

[tex]\left ( 1 + \dfrac{r}{100} \right ) ^{2} = x = \dfrac{121}{100}[/tex]

[tex]1 + \dfrac{r}{100} =\sqrt{ \dfrac{121}{100}} = \dfrac{11}{10}[/tex]

We get

[tex]\dfrac{12,066.60}{5,460} =\dfrac{221}{100}[/tex]

[tex]\therefore \dfrac{12,066.60}{5,460} =\dfrac{221}{100} = \left ( 1 + \dfrac{r}{100} \right ) ^{2}[/tex]

[tex]1 + \dfrac{r}{100} = \sqrt{ \dfrac{221}{100} } = \dfrac{\sqrt{221} }{10}[/tex]

[tex]\dfrac{r}{100} = \dfrac{\sqrt{221} }{10} - 1[/tex]

[tex]\dfrac{r}{100} = \dfrac{11}{10} - 1 = \dfrac{1}{10} = 0.1[/tex]

r = 100 × 0.1 = 10%

r = 10%

Therefore, we have;

[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P = P \times \left ( 1 + 0.1\right ) ^{2} - P[/tex]

[tex]5,460 = P \times \left ( 1 + 0.1\right ) ^{2} - P = P \times \left (\left ( 1 + 0.1\right ) ^{2} - 1\right) = P \times \dfrac{21}{100}[/tex]

[tex]P = \dfrac{100}{21} \times 5,460 = 26,000[/tex]

The principal = Rs. 26,000

The compound interest in 3 years is therefore;

[tex]CI_3 = 26,000 \times \left ( 1 + \dfrac{10}{100} \right ) ^{3} - 26,000= 8606[/tex]

The difference, 'd', between the principal and the compound interest in three years, is given as follows;

d = P - CI₃

d = 26,600 - 8606 = 17994

The difference between the principal and the compound interest in three years, d = Rs 17,994.

Answer:

Dont know

Step-by-step explanation:

Sorryyyyyyyyyyyyyyyyyyyyy

Answer:

CAUSE I FEEL THE BREK FEEL THE BREK FELLLLLLL THE BREKK

Step-by-step explanation:

Step-by-step explanation:

40 ÷ 4 ( 4 sides) = 10

So each side measures 10inches

Answer:

10

Step-by-step explanation:

beacue 10x4

Answer: A

Step-by-step explanation:

The line 'd' separates the square into two triangles. Since the side lengths are equal, the angle is 45°. We need the line separating the two 90° angles, that I am going to define as 'z'. We can use the sine function.

[tex]\sin(45)=\frac{z}{5\sqrt{2} }[/tex]

z = 5

To solve for x, we can use sine again but for the 30 degree angle.

[tex]\sin(30)=\frac{5}{x} \\x=10[/tex]

Answer:

x=10

Step-by-step explanation:

The middle triangle has d as the hypotenuse and is an isosceles right triangle. The sides of such a triangle are in the ratio of y, y, and [tex]\sqrt{2}y[/tex].

For this triangle

[tex]\sqrt{2}y=5\sqrt{2}[/tex]

so y=5.

Tthe triangle on the right is a 30, 60, 90 triangle with sides in the ratio of

y, [tex]\sqrt{3}y[/tex], and 2y.  So

2y=x=10    

Answer:

use pressure =Force /area

Step-by-step explanation:

12000N/1.08

Answer:

[tex]\displaystyle m=-2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (4, -2)

Point (-1, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

uhhh.. statement? *~*

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order to simplify we do the following...

[tex]5y + \frac{5}{14} + 9n + \frac{2}{14} + 2y - 3n = (5y +2y) +(\frac{5}{14}+ \frac{2}{14}) + (9n - 3n) = 7y + \frac{1}{2} + 6n[/tex]

Answer:

This expression can be simplified to 7y + 6n + 1/2

Step-by-step explanation:

You can find this by grouping like terms and adding them together.  Starting with the expression we're given:

5y + 5/14 + 9n + 2/14 + 2y - 3n

Let's make it easier by grouping like terms:

(5y + 2y) + (9n - 3n) + (5/14 + 2/14)

Now we'll add them together:

7y + 6n + 7/14

And finally, we can simplify that fraction by factoring 7 out of both the numerator and denominator:

7y + 6n + 1/2

And now we have the final answer.

answer: c. l =p-2b/2

step by step:

p=2(1-b)

p=2l-2b

p+2b/2=2l/2

l =p-2b/2

Answer:

36 girls voted for Marisol

Step-by-step explanation:

Answer:

3(14)+2(9) is the equation

$60 is the total cost

Tell me if im right :)

Answer:

T=60

Step-by-step explanation:

Answer:

since a whole triangle is 180 you can do 60×3

Answer:

Step-by-step explanation:

Whole triangle = 180°

90 + 60 + 30

Answer:

-4.24264069; -4.2 (nearest tenth); -4.24 (nearet hundreths)

Step-by-step explanation:

square root of 72 = 8.48528137 or 8.5 (rounding to tenths)

square root of 2 = 1.41421356 or 1.4

square root of 128 = 11.3137085 or 11.3

[tex]x > 10[/tex]

Step-by-step explanation:

1) Subtract 10 from both sides.

[tex]2.5x > 35 - 10[/tex]

2) Simplify 35 - 10 to 25.

[tex]2.5x > 25[/tex]

3) Divide both sides by 2.5.

[tex]x > \frac{25}{2.5} [/tex]

4) Simplify 25/2.5 to 10.

[tex]x > 10[/tex]

Therefor the answer is, x > 10.

Answer:

2=k^1/x

3=k^1/y

12=k^1/z.......we get...

(atq)------k^1/x=k^1/y=k^1/z

(*a^m=b^m......b=a)

~1/x=1/y=1/z

1/z=1/y+1/x×2

(12=3+2×2)

1/z=1/y+2/x.....proved

Answer:

(7,5)

Step-by-step explanation:

(7,5) inversed would be (5,7). (5,7) is one of the points contained in the function above.

Answer:

f(-2) = -1

Step-by-step explanation:

-2 is x, so replace x as -2 into the equation

f (-2) = 2(-2) + 3

f (-2) = -4 + 3

f (-2) = -1

A collection of all points in the plane of the form (x, f(x)) is the graph of a function f. The graph of f is defined as the graph of the equation y = f(x).

[tex]\to f (x) = 2x + 3[/tex]

[tex]\to f(-2) =?[/tex]

Putting the value "-2 " into the above given method:

⇒  f(-2) = 2(-2) + 3

⇒  f(-2) = -4 + 3

⇒  f(-2) = -1

Please find the graph file.

Find out more about the value of x here:

brainly.com/question/9916945

Answer: x=18

Step-by-step explanation:

First distribute:

(18/6)-(x/6)=0

Isolate the x variable:

(18/6)=(x/6)

18=x

Answer:

ƒ(g(x)) = 18x - 8

Step-by-step explanation:

We're looking for the composition of f and g, in which function g is the input to function f.  Literally replace "x: in f(x) with g(x) = 6x - 5:

ƒ(g(x)) = 3(6x - 5) + 7, or, after simplification,

ƒ(g(x)) = 18x - 15 + 7, or 18x - 8

Answer:

72-63=9

9/72=13%

13% IS .13 SO TENTH IS .1

I AM NOT SURE ABOUT THE TENTH

Step-by-step explanation:

Answer:

G (1,7)

H (2,7)

F (1,-1)

E (2,-1)

Step-by-step explanation:

The image of rectangle EFGH after a reflection over the line x = –1 will cover the points G (1,7), H (2,7), F (1,-1), and E (2,-1).

The process of changing the location of the image on the coordinate system will be known as the translation. A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that graph the image of rectangle EFGH after a reflection over the line x= –1. Translated image of the points is attached with the answer below. The translated points are G (1,7), H (2,7), F (1,-1), and E (2,-1).

Therefore, the image of rectangle EFGH after a reflection over the line x = –1 will cover the points G (1,7), H (2,7), F (1,-1), and E (2,-1).

To know more about translation follow

https://brainly.com/question/12861087

#SPJ2

Answer:

40% ⋅ x = 35

x = 87.5

Step-by-step explanation:

To write an equation representing this situation, use the key words. 40% stays 40%. "Of" is the same as multiplication. "X" remains "x". "Is" is the same as equal to. 35 remains 35. So, the new equation you get is: 40% ⋅ x = 35.

To solve for "x", first turn the 40% into a decimal: 0.4. Now divide 0.4 from both sides to get: x = 87.5.

Note:

The dot "⋅", stands for the multiplication sign. I'm not using the "x" symbol for it because there is a variable x in the equation already.

Hope it helps!

Answer:

y=x-2

Step-by-step explanation:

we know that y-intercept is -2

y=?x-2

So now we would have to find slope

the slope would be 1

soo that makes the equation would be

y=x-2

I hopes this helps.

Have a good day!!