How do I solve this arithmetic sequence?

Answer:

the sequence of numbers starting left to right is: -2 -1.6 -1 -1/6 0 3/7 0.6 1 2  

Step-by-step explanation:

Answer:

Ok so -1.6 goes in between -2 and -1.  Then -1/6 goes in between -1 and 0. Then 0.6 goes between 0 and 1. And last 3/7 goes between 1 and 2. 

Step-by-step explanation:

hope this helps you :)

Answer:

I think after 1.6 s it Will catch the dog

Answer:

Step-by-step explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 15 × 9.8 × 5

We have the final answer as

Hope this helps you

Answer:

C = 112, A = 150, D = 30, B = 38

Step-by-step explanation:

I solved C first using:

30+38+c = 180 (angles along a straight line should add up to 180 since a whole circle is 360)

-

I solved A by looking across from C.

Angles on opposite sides should mirror each other but A includes 38* + C

Just by doing 112 + 38 you get 150.

-

I solved D by looking at 30*, alternative interior angles are the same so D is 30*.

-

I solved B by taking C (112) and D (30) and adding them together and subtracting from 180.

Interior angles of a triangle should all add up to 180,

112 + 30 + B = 180

From this I got that B was 38.

Alternatively you can find this out by looking at the 38 degrees, corresponding congruent angles are always the same.

I suggest reviewing this angles sheet if you're ever stuck in the future.

Answer:

C = 112, A = 150, D = 30, B = 38

Step-by-step explanation:

Answer:

m = x / n

n = 15

Step-by-step explanation:

Number of chairs per row = m

Number of rows = n

Number of people = x

Number of chairs per row, m = number of people, x / Number of rows, n

m = x / n

If number of attendees, x = 60 ;

Number of chairs per row, m = 4

The number of rows, n = number of attendees / number of chairs per row, m

Hence, n = 60 / 4 = 15 rows

Answer:

(2x+3)(x-5)

Step-by-step explanation:

Given the expression 2x²-7x-15

Factorize

2x²-10x+3x-15 =0

2x(x-5)+3(x-5)

(2x+3)(x-5)

Hence the factored form of the expression is (2x+3)(x-5)

HI thts way tooo much to answer but ye

Answer:

The volume of the shape is 560 ft^3

Step-by-step explanation:

To find the volume of the figure, we need to multiply the base area by the height of the figure

mathematically, we have the base area as a rectangular shape and its area is the product of its side lengths

We have this as 8 ft * 10 ft = 80 ft^2

So multiplying this by the height which is 7 ft, we have this as;

7 ft * 80 ft^2 = 560 ft^3

Answer:

54 percent

Step-by-step explanation:

The final probability is a weighted average of the going to play probabilities determined for each weather scenario:

P(John performs cello; provided that it rains) * P(it rains) + P(it rains) + P(it rains) + P(it rains) + P(it rains) +

If it doesn't rain, P(John plays cello) * P(it doesn't rain) =

0.54 = 0.6 * 0.7 + 0.4 * 0.3

The likelihood is 54 percent.

Answer:

the answer should be 98

Step-by-step explanation:

try it

Answer:

no, it is not

if it were a right triangle, 10² + 17² = 18²

but this is not the case

Step-by-step explanation:

we would use Pythagoras theorem to determine if it is a right angle

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² + 17² =

100 + 289 = 389

square root of 389 is 19.72 and not 18. thus, it is not a right triangle

Answer:

B or C

Step-by-step explanation:

Now this one is very very confusing for me but i'm leaning more to B, if someone else gets a different answer though i would listen to them, but it's one of those two but i think its B.

Answer:

3.25 or 3 and 1/4

Step-by-step explanation:

The algebraic equation is 2x = 6.5.

Divide by 2 to get your answer.

6.5 divided by two is 3.25.

x = 3.25

Answer:

3.25

Step-by-step explanation:

just take away the 25 and multiply it that way

Plz give me brainllest

Answer:5 or 5 degrees

Step-by-step explanation:

the box means 90 degree so if you divide 45 with 90 you get 2

2 divided by 10 = 5

Answer:

x = y = 10

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x × [tex]\sqrt{2}[/tex] = 10[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

x = 10

Since the base angles are 45° then the triangle is isosceles and the 2 legs are congruent, then

x = y = 10

Answer:

Step-by-step explanation:

Area of a parallelogram is base x height

The base of the given parallelogram is 9 inches and the height is 7.5 inches

So, its area would be

9 x 7.5

Area equals [tex]67.5^{2}[/tex]

The Percentage increase in the purchase price each year is 4.5%.

The given function is:

[tex]V(t)=P(1.045)^t[/tex]

Where P is the purchase price of the baseball card and t is the time.

A function is a rule that establishes a relation between two variables.

[tex]V(1)=P(1.045)^1\\V(1)=1.045P[/tex]

[tex]V(2)=P(1.045)^2\\V(2)=1.092025P[/tex]

Percentage increase in the purchase price each year

=[tex]\frac{V(2)-V(1)}{V(1)} *100[/tex]

[tex]=\frac{1.092025P-1.045P}{1.045P} *100[/tex]

[tex]=4.5%[/tex]%

Hence, the Percentage increase in the purchase price each year is 4.5%.

To get more about functions visit:

https://brainly.com/question/2833285

Answer:

-27

Step-by-step explanation:

3(-2)³-2-1 =

3(-8)-3 =

-24-3=-27

Answer:

https://www.sketchywebsite.net/

Step-by-step explanation:

Answer:

25 minutes

Step-by-step explanation:

let x represent total time when both containers to have the same amount of water.

the equation to represent container A = 200 + 6x

the equation to represent container B = 500 - 6x

Because both containers would have the same amount of water,  the two equations would be equal to each other

200 + 6x = 500 - 6x

collect like terms

12x = 300

x = 300/12

x = 25 minutes

Answer: Susie walked 4000 kilometers on day 18 of her program

Step-by-step explanation:

The question explains an arithmetic progression of  Susie's walk program

Now the nth term of an AP is given as

an = a1 + (n - 1 ) d

a1  =First term = 600 m

common difference , d =200

The 18th day of her program will be

a18 =  600+ (18 - 1 ) 200

a18 = 600+ 17 x200

a18 = 600+3,400

a18 = 4000

Answer:

y = 4

Step-by-step explanation:

Answer:

[tex]x = \frac{5a-2} {7+5a}\\[/tex]

Step-by-step explanation:

Given the expressions

[tex]x = \frac{5}{9y+5}....1\\y = \frac{5}{5a-2} ...2[/tex]

Substitute 2 into 1

[tex]x = \frac{5}{9(\frac{5}{5a-2} )+5} \\x = \frac{5}{(\frac{45}{5a-2} )+5} \\x = \frac{5}{\frac{45+5(5a-2)}{5a-2} } \\x= \frac{5}{\frac{35+25a}{5a-2} }\\x = \frac{5(5a-2)} {35+25a}\\x = \frac{5(5a-2)} {5(7+5a})\\\\x = \frac{5a-2} {7+5a}\\[/tex]

Answer:

$81.6

Step-by-step explanation:

(1,360.00)(6%)=81.6

Answer:

The correct option is (b).

Step-by-step explanation:

Given that,

The radius of the circle, r = 8 cm

The area of the sector, [tex]A=56\pi \ cm^2[/tex]

We need to find the measure of the sentral angle. The formula for the area of a sector is given by :

[tex]A=\dfrac{1}{2} r^2\theta[/tex]

Where

[tex]\theta[/tex] is the central angle

Substitute all the values,

[tex]\theta=\dfrac{2A}{r^2}\\\\\theta=\dfrac{2\times 56\pi }{8^2}\\\\\theta=\dfrac{7\pi}{4}\ rad[/tex]

So, the correct option is (b).

Answer:

g=-1

Step-by-step explanation:

3(g+4)=9

Divide both sides by 3.

g+4=  9/3

Divide 9 by 3 to get 3.

g+4=3

Subtract 4 from both sides.

g=3−4

Subtract 4 from 3 to get −1.

g=−1

Answer:

3(g+4)=9

or, 3(g+4)/3=9/3 [Dividing both sides by 3.]

or, g+4=3

or, g+4-4=3-4 [Subtracting 4 from both sides.]

So, g=-1

Answer:

1. 93 m is the length of the rectangular garden.

2. The width of the window is 72 cm.

Step-by-step explanation:

Answer:

k>8

Step-by-step explanation:

k more than 8 indicates that the value of k is larger than 8. So the inequality sign opens towards k and closes towards 8.

Hope this helps!

Answer:

9 is bigger than 8

Step-by-step explanation:

Step-by-step explanation:

after he buys everything he has 170.83 ( total 340.17) 73.43 times x