Write this series in sigma notation: 5+9+13+17+21+ 25 + 29+ 33.

Answer:

9.17cm (3s.f.)

Step-by-step explanation:

Using Pythagoras Theorem,

5² = 2² + (Height of Triangle)²

Height of Triangle = 4.5826cm (5s.f.)

Area = ½ × 4 × 4.5826

= 9.1652cm (5s.f.)

= 9.17cm (3s.f.)

Answer:

[tex]3\frac{5}{6}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

16.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

One

Part A

5, -3*5, (-3)^2 * 5, (-3)^3*5, (-3)^4 * 5

5, - 15, 45, -135, 405

Part B

Second term = -15

Fourth term = -135

The difference = -15 - (-135) = 120

Two

(4 + 2)*(6-2)/(-1)

(8/2) * (5 + 1) * (2 - 1)/(-1)

(16/4) * (3+3) * (2 -1) / (- 1)

(30 - 6) * (0 + 1) / - 1

Answer:

The Answer is g.  I may be wrong.

Answer:

2. 21

3. no is 14

4. 0

5. 22

Answer:

100-(5x+3y)

Step-by-step explanation:

100-(5x+3y) 5 cds cost x dollars plus 3 costs that cost y dollars equals the total amount of money he spends then subtract by 100 to find how much he has left

Number of bracelets she can make from 15 1/6 = 91/6 foot of string is :

[tex]n_1=\dfrac{\dfrac{91}{6}}{\dfrac{1}{2}}\\\\n_1=30.33[/tex]

So, number of bracelets from 15 1/6 foot string are 30.

Now,

Number of bracelets she can make from 12 1/3 = 35/3 foot of string is :

[tex]n_2=\dfrac{\dfrac{35}{3}}{\dfrac{1}{2}}\\\\n_2=23.33[/tex]

Number of bracelets from 12 1/3 foot string are 23.

Therefore, total number of bracelets she can make is 23 + 30 = 53.

Hence, this is the required solution.

Answer:

Step-by-step explanation:

(5x + 4)(x^2 - 7x + 12)

5x^3 - 35x^2 + 60x + 4x^2 - 28x + 48

5x^3 - 31x^2 + 32x + 48

We know that m<JKL = m<JKM + m<MKL

Let's substitute the values from the picture into our equation above.

10x - 11 = 43 + 8x - 20

Combine like terms.

10x - 11 = 8x + 23

Subtract 8x from both sides and add 11 to both sides.

2x = 34

Divide both sides by 2

x = 17

m<MKL = 8x - 20 = 8(17) - 20 = 136 - 20 = 116 degrees.

m<JKL = 10x - 11 = 10(17) - 11 = 170 - 11 = 159 degrees.

Answer:

A

Step-by-step explanation:

I chose that and got it right

18/(18+37+11) = 0.272727... which means approx. 27%.

Answer:

2A / r^2 = pi

Step-by-step explanation:

A = 1/2 pi r^2

Multiply by 2

2A = pi r^2

Divide by r^2

2A / r^2 =  pi r^2/r^2

2A / r^2 = pi

Answer:

See Below

Step-by-step explanation:

Isolate B

Soo add h to both sides

J = -h +b

+h +h

J + h = b

or

b = j + h

Given :

Distance covered by object , D = 63 cm .

Time taken to cover distance D , t = 2 days .

To Find :

The speed of object in m/s .

Solution :

First we will convert all units into m and hours .

D = 63 cm = 0.63 m .

[tex]t=2\ days =2\times 24\ hours =48\ hours[/tex] .

Now , speed is :

[tex]s=\dfrac{D}{t}\\\\s=\dfrac{0.63}{48}\ m/hours\\\\s=0.013\ m/hours[/tex]

Hence , this is the required solution .

Answer:63

Step-by-step explanation:

Answer:

top = 17ft

bottom = -12ft

Step-by-step explanation:

As seen in the badly drawn picture attached in this question we are trying to find the point at the top of the ladder and the point at the bottom of the ladder. As seen in the picture ground level has an altitude of 0 ft meaning that lower than this would be in the negatives. Since the basement floor is 12 feet below ground level then this point would be -12 ft. Now since we know that the ladder is 29ft tall we simply add this height to the basement floor value to get the value of the 2nd floor ceiling (top of the ladder).

29ft + ( -12ft) = 17ft

Therefore we can see that the point at the top of the ladder is 17ft.

Answer:

13°F

Step-by-step explanation:

Given that,

Initial temperature = 56°F

Final temperature, = 56°F

We need to find the change in temperature. It is equal to the difference between final temperature and the initial temperature. So,

[tex]\Delta T=T_f-T_i\\\\\Delta T=43^{\circ}F-56^{\circ} F\\\\\Delta T = 13^{\circ} F[/tex]

So, the change in temperature is 13°F.

Answer:

13°F

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

12 (2 + ) − (4 + )

24-4

=20

Answer:

20

Step-by-step explanation:

Answer:

Picture explains all, 252.

Step-by-step explanation:

I even tried this and couldn't figure it out

Step-by-step explanation:

Hey there!!!

Here,

Firstly, Shift n to right side and -4 to the left side, because we always try to have variable as positive.

[tex] - 8+4 = + 5n-n[/tex]

Now, Simplify them.

[tex] - 8 + 4 = 5n - n[/tex]

[tex] - 4 = 4n[/tex]

You should divide now.

[tex]n = \frac{ - 4}{4} [/tex]

Therefore the value of n is -1.

{ As now you can keep it on left side. We generally find the vallue of variable by keeping it on left side. But we kept it right side in solution to avoid our confusion because if we kept it on left side and you would get harder to find the value at last as we need to transpose (-) to the right side value of n}.

Hope it helps...

Step-by-step explanation:

18p is a multiplication expression in itself.

It could be written as 18 x p. I am confused on what you mean as 'verbal' so i'm gonna take a wild guess and say word form.

eighteen times p???

Sorry if it's wrong.

Answer:

No

Step-by-step explanation:

It is not a function because the x should never repeat the y can but not the x.

Answer:

not a function

Step-by-step explanation:

I'm Pretty Sure The Answer Is x=2

Hope This Help's

Answer:

2

Step-by-step explanation:

When subtract the 2 from the right side and subtract it from the right side, then divide three from the left side and then divided it from the right side, then you should end up with x=2

Answer:

T= -5

Step-by-step explanation:

2(2t+4)= 3/4(24-8t)

4×2(2t+4)= 4×3/4(24-8t)

16t+32=72-32

16t-24t=72-32

-8t=40

therefore t equals negative five.

i hope you understand.

Answer: your answers are correct

x = 10

PT = 34

Step-by-step explanation:

PT = 4x - 6 and TQ = 3x + 4

if PT = TQ

4x - 6 = 3x + 4

4x - 3x = 4 + 6

x = 10

PT = 4x - 6

PT = 4 (10) - 6

=40 - 6

PT = 34

The value of PT = 34

y + 6 = 4/3(x - 2)

First, distribute the 4/3

y + 6 = 4/3x - 8/3

Subtract 6 from both sides.

y = 4/3x - 26/3

-26/3 is the y-intercept so start the graph at coordinate (0, -26/3)

After you plot the y-intercept, add 4 to they y-coordinate and 3 to the x-coordinate of the y-intercept to get the next point.

0 + 3 = 3

-26/3 + 4 = -14/3

The next point should be at (3, -14/3)

Add as many points as your professor requires.

Answer:

(0, -26/3)     (3, -14/3)

Step-by-step explanation:

y+6 = 4/3x - 8/3

y = 4/3x - 26/3

(0, -26/3)

-26/3 + 4 = -14/3

 (3, -14/3)

Answer:

I think it is - 1/2 by the way love ur profile picture and username