Write your own explicit formula. List the first 4 terms and solve for the 10th term using the formula. (show your work)

Answer:

9×16=144

16×5=. 80

.: 144+80 =224

Step-by-step explanation:

The correct answer is 224

The speed the fan will turn is 625 rpm

Since they fan and the pulley ahve the same linear speed v = rω where

Then

r₁ω₁ = r₂ω₂ where

Making ω₁ subject of the formula, we have

ω₁ = r₂ω₂/r₁

Substituting the values of the variables into the equation, we have

ω₁ = r₂ω₂/r₁

ω₁ = 2 in × 1250 rpm/4 in

ω₁ = 1250 rpm/2

ω₁ = 625 rpm

So, the speed the fan will turn is 625 rpm

Learn more about angular speed of pulley here:

https://brainly.com/question/2923987

Answer:

x = 8

z = 15

y = 118°

Step-by-step explanation:

First, we know that these are similar. That means that if we know which angles correspond to each other, those are equal, and the sides that correspond to each other have a common ratio. I went ahead and rotated PQRS so that it visually aligns with WXYZ -- that image is attached. We can do this because similar shapes must have the same angles, so aligning the angles works here. Using that, we can see that, based on the angles, QR matches up with XY, WZ matches up with PS, and so on.

We can then say that there is a common ratio between the corresponding sides.

WZ/PS = XW/PQ = ZY/RS = 9/6 = 12/x = z/10

9/6 simplifies to 3/2, so we have

3/2 = 12/x

multiply both sides by x to no longer have it as a denominator

3 * x / 2 = 12

multiply both sides by 2 and divide both sides by 3 to isolate x

x = 8

3/2 = z / 10

multiply both sides by 10 to isolate z

z = 15

In the corresponding figures, we can see that y matches up with ∠WXY. Thus, the two angles are equal and y = 118°

Answer:

$18

Step-by-step explanation:

Given:

Sale for $20

Sale: 10% off

New cost of the fidget spinner

Solve:

$20 × 10% = 2 {Discount Price/off price}

$20 - 2 = $18 {New cost of the fidget spinner}

Thus, the new cost of the fidget spinner

~Lenvy~

Based on the percentages given on those who visited the Great Wall, the relative frequencies will show the following?

The number of people who went to Great Wall was:

= 200 x 85%

= 170 people

= Number of people who went to Great Wall x 30%

= 170 x 30%

= 51 people

= (1 - 85%) x Number of people surveyed x 80%

= 0.15 x 200 x 80%

= 24 people

Find out more on relative frequencies at https://brainly.com/question/3857836.

Answer:

right 5 units

Step-by-step explanation:

given f(x) then f(x ± a) is a horizontal translation of f(x)

• if + a then a shift of a units left

• if - a then a shift of 5 units right

f(x) → g(x) = (x - 5)² with a = - 5

then f(x) is shifted 5 units right to obtain g(x)

Answer: 12

Step-by-step explanation:

The equation that  could be used to find the circumference of the tire is  P = 2πr and the circumference of the tire is 50.24 inche

A circumference is a total distance around a plane shape. It is also called perimeter

The equation for finding the circumference of a circle is given below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, The equation that could be used to find the circumference of the tire is  P = 2πr and the circumference of the tire is 50.24 inches.

Learn more about circumference here: https://brainly.com/question/15673093

Answer:

-16

Step-by-step explanation:

t(3)= 3²-2

= 7

s(t(3)) = -2×7-2

= -14-2

= -16

Answer:

About 11.48

Step-by-step explanation:

6.4+2.75+2 1/3

6.4+2.75=9.15

2 1/3=2.33

9.15+2.33=11.48

Step-by-step explanation:

You plug in the number that needs to be plugged in and then you solve like a normal equation.

ok so for whatw e do is mulitpy the numbers

M(x,y):-

[tex]\\ \rm\Rrightarrow \left(\dfrac{2+4}{2},\dfrac{5+9}{2}\right)[/tex]

[tex]\\ \rm\Rrightarrow \left(\dfrac{6}{2},\dfrac{14}{2}\right)[/tex]

[tex]\\ \rm\Rrightarrow (3,7)[/tex]

Equation of L

Slope of the perpendicular line=-1/2

Equation of the perpendicular line

[tex]\\ \rm\Rrightarrow y-y_1=m(x-x_1)[/tex]

[tex]\\ \rm\Rrightarrow y-7=-1/2(x-3)[/tex]

[tex]\\ \rm\Rrightarrow 7-y=1/2(x-3)[/tex]

[tex]\\ \rm\Rrightarrow 14-2y=x-3[/tex]

[tex]\\ \rm\Rrightarrow x+2y-17=0[/tex]

Answer:

x=18

Step-by-step explanation:

We'll assume that the shorter sides are AB and CD. Then 7x-6=5x+30. You add 6 to both sides. 7x=5x+36. Isolate x. 2x=36. Divide, and x=18.

Answer:

The reciprocal of an undefined slope is 0.

Answer:

35 days because waste removals will empty the pool in 39 days

Answer:

2 1/6

Step-by-step explanation:

Because the denominators are different, and there are whole numbers involved, then first make the fractions improper.

4 1/2 -> 9/2

6 2/3 -> 20/3

Next, make the denominators the same by multiplying each fraction by the denominator of the other.

9/2 * 3 = 27/6

20/3 * 2 = 40/6

Then you can subtract the numerators because the denominators are the same:

40/6-27/6= 13/6

Then you can convert to a mixed fraction if need be.

Answer:

Answer:

profit=S.P-C.P×100%

C.P

$2650-2500×100

$2500

150

2500 cross of the two zeros

15

250 let's divide

=0.6×100

60%

I hope it's correct..

pliz follow

Answer:

B

AD will be 20

Answer:

6x +15

Step-by-step explanation:

To solve for the perimeter of the triangle, we need to find the length of each side.

(a +b)² = a² +2ab +b²

Let's factorise the expression for the area of the square:

Area of square

= 4x² +20x +25

= (2x +5)²

Since area of square= side ×side, length of a side of the square is the square root of its area. We are also given that the side of the square is AB.

(AB)²= (2x +5)²

Taking the square root of both sides:

AB= 2x +5

The perimeter is the sum of the lengths of all of its sides.

Perimeter of the triangle

= 3(AB)

= 3(2x +5)

= 6x +15

Answer:

The function is t(n) = 3n - 9

Using it's concept, it is fond that the estimate for the ratio of red to blue beads is of 91:79.

The ratio between two amounts a and b is given by a divided by b, that is:

[tex]\frac{a}{b} = a:b[/tex]

In this problem, considering Charlotte's and Harry's beads, there are 81 + 10 = 91 red beads and 9 + 70 = 79 blue beads, hence the ratio is given by:

91:79.

More can be learned about ratios at https://brainly.com/question/19905617

Answer: 9

Step-by-step explanation: Im guessing right now

Answer:

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

you subtract 21 from 17 and you get -4

Answer:

The answer is A.

Step-by-step explanation:

You have one solution where the lines intersect, which is (-7, 6)

Answer:

Step-by-step explanation:

The given dimensions are related by the perimeter formula for a rectangle.

Let w represent the width in meters. Then (w+5) represents the length. These values can be put into the perimeter formula, which can be solved to find w.

  P = 2(L +W)

  82 = 2((w+5) +w) . . . . fill in for L and W

  41 = 2w +5 . . . . . . . . divide by 2

  36 = 2w . . . . . . . . . subtract 5

  18 = w . . . . . . . . . divide by 2. This is the width.

  w+5 = 18+5 = 23 . . . . find the length

The length of the rectangle is 23 m; the width is 18 m.

Answer:

1) 1. 3/5

2. 6/10 which simplifies to 3/5

3. 9/15 which simplifies to 3/5

Step-by-step explanation:

let me know if there are specific questions you want me to answer. I did the first one, but I don't have time to answer them all right now. hopefully this gives you a good start

[tex]b:8:10=3:4:5\\ 9:12:15=3:4:5\ \left\{Calculation\right.[/tex]

[tex](3\times4):(4\times4):(5\times4)=12:16:20[/tex]