Find the first 5 terms in the following sequence:

Answer:

Acute

Step-by-step explanation:

26^2 + 12^2 = 18^2

676 + 144 = 324

820 = 324

Since 324 is smaller, this triangle is acute

Answer:

the value of h is √676km

Step-by-step explanation:

The computation of the value of h is shown below

Here we apply the Pythagoreus theorem

= 24^2 + 10^2

= 576 + 100

= √676

Hence, the value of h is √676km

We simply determine by using the Pythagoreus theorem

Answer:

Results are below.

Step-by-step explanation:

First, we need to calculate the variable income per job:

First job= 450 - 150= 300

Second job= 675 - 150= 525

Now, the hourly rate:

Hourly rate= total variable income / number of hours

First job= 300 / 4= $75

Second job= 525 / 3= $175

It is probably that the second job was 7 hours long. If not, he doesn't charge the same amount per hour

Answer:

[tex] \tan \frac{opposite}{adjacent} [/tex]

21.4

Step-by-step explanation:

tan47° = x/20

1.072=x/20

20×1.072= x/20×20

x =20 ×1.072

x= 21.447

x=21.4

Step-by-step explanation:

T=D/S

D=360m

S=12m/s

360m÷12m/s

Time=30s

Answer:

68.8 hot dogs

Step-by-step explanation:

27.5 ÷ 4 = 6.875 per minute

6.875x10 = 68.75 hot dogs

Answer:

68.75 hotdogs

Step-by-step explanation:

lets say x = number of hotdogs

27.5/4 = x/10

use cross multiplication:

27.5 (10) = 4(x)

multiply

275 = 4x

divide both sides by 4 to isolate x

x = 68.75

Answer:

550 sit-ups

Step-by-step explanation:

Given

See attachment for chart

Required

Number of sit-ups on March 11

Represent the number of sit-ups with x and the days with y.

So:

[tex](x_1, y_1) = (1,50)[/tex] --- May 1

[tex](x_2, y_2) = (2,100)[/tex] --- May 2

First, we calculate the slope of the line chart.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{100 - 50}{2-1}[/tex]

[tex]m = \frac{50}{1}[/tex]

[tex]m = 50[/tex]

Next, we calculate the equation using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 50(x - 1) + 50[/tex]

[tex]y = 50x - 50 + 50[/tex]

[tex]y = 50x[/tex]

So, on May 11.

[tex]x= 11[/tex]

Substitute 11 for x

[tex]y = 50 * 11[/tex]

[tex]y = 550[/tex]

Answer:

no srry

Step-by-step explanation:

The function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given that, Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year.

The depreciation rate =

A = P(1-r)ⁿ

Where, A = amount final

P = initial amount

r = rate and n = number of the years

Therefore,

The depreciation rate =

f(x) = 23540(1-0.05)ˣ

f(x) = 23540(0.95)ˣ

Hence, the function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.

Learn more about functions, click;

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Answer:

B

Step-by-step explanation:

sohcahtoa

sin = opp/hyp

sin A = 16/20= 4/5

Answer:

the first one is true, the third one is true, the fourth one is true, the fifth one is true

Step-by-step explanation:

the second one is false

Answer:

x=2

Step-by-step explanation:

7x = 14

x = 14/7

x = 2

Answer:

2

Step-by-step explanation:

7x/7 = 14/7

x = 2

Answer

128.86

Step-by-step explanation:

The box is 11x12 so 132.

The circles area is 3.14, or

A = πr^2 = π·1^2 ≈ 3.14159

So 132-3.14 is 128.86

Answer:

1

X is equal to 10

10 plus 1 equals 11

2

y is equal to 6

30 minus 8

is equal to 22

3

m equals 3 and t equals 5

30 minus 27

is equal to 3

4 not written properly

5 not written properly

Answer:

b) 31

Step-by-step explanation:

20 + 5 = 25

25 - 2 = 23

23 + 5 =28

28 - 2 = 26

pattern: add 5 then subtract 2

since we subtract last, we would add 5 on 26:

26 + 5 = 31

Answer:

31

Step-by-step explanation:

In the sequence they are adding 5 and taking away 2. So if they start with 20, they added 5 and took away 2, it was 23. Then they added 5 again and it was 28, they took away 2 and it was 26. If they add 5, the next number would be 31.

Hope it helped :)

Answer:

75

Step-by-step explanation:

Answer: x squared equals y

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

3 x (-3) x 2 - 4 x (-3) - 5

= -18 + 12 - 5

= -11

Answer:

x^2 - 2

Step-by-step explanation:

The correct procedure would have been to distribute the negative to the +4 also, so you would have +2 - 4 = -2 so the final answer should have been

x^2 - 2

(3x²+2)-(2x²+4)

write in a different form, remove parentheses

3x²+2-2x²-4

calculate the value of the corresponding terms

x²-2

Answer: Yes, he made a mistake.

A simplified expression would look like this x²-2 and not like this x²+^6.

Given:

Consider the given polynomial is:

[tex]x^3+4x^2+16x+64[/tex]

To find:

The complete factorization of the given polynomial.

Solution:

We have,

[tex]x^3+4x^2+16x+64[/tex]

Using grouping method, we get

[tex]=(x^3+4x^2)+(16x+64)[/tex]

[tex]=x^2(x+4)+16(x+4)[/tex]

[tex]=(x+4)(x^2+16)[/tex]

[tex]=(x+4)(x+4i)(x-4i)[/tex]         [tex][\because x^2+y^2=(x+iy)(x-iy)][/tex]

Therefore, the correct option is C.

Answer:

It should look like this

Step-by-step explanation:

hope it helps

Answer:

i think it's 10%

Step-by-step explanation:

-12 x 3 = -36

-6 x 6 = 36

-8 x 2 = -16

-4 x 4 = -16

Answer:

In the first rectangle,

one side =15*1=15

other side = 15* 3=45

in the second rectangle,

one side = 25*1=25

other side= 25*3=75

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

x(x−8y)

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

GCF = xx

Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

than your answer is x(x-8y)

bb

Step-by-step explanation:

honda is the lowest price on the market and the price of the following lines are not anybody else so expect to have a good time and be able to make a few things that are good