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sdas [7]
2 years ago
5

1. A teacher asked the students to create a formula for the sequence 5, 8, 11, 14, ...

Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
5 0

Good evening ,

Answer:

Is his formula correct and how do you know : <em>Yes</em>

Is it an explicit or recursive formula : <em>explicit </em>

Step-by-step explanation:

an = a1 + (n-1)r

a1 = 5

r = 8-5 = 3

Then an = 5 + 3(n-1).

:)

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7. The cost of renting the party room for 10 people is $117.50. The cost of renting the room is $151.25 for 15 people. Write an
Viktor [21]

Answer:

C = 6.75n + 50

Step-by-step explanation:

The equation for the cost of renting the party room can be written in the form;

C= mn+k ......i

Where C = cost

n = number of people

Substituting the 2 cases into the equation we have,

Case 1

117.5 = 10m + k ......1

Case 2

151.25 = 15m + k .....2

Subtracting eqn 1 from 2 we have

151.25 - 117.50 = 15m - 10m

5m = 33.75

m = 33.75/5 = 6.75

Substituting m = 6.75 into eqn 1, we have

117.50 = 10(6.75) + k

k = 117.5 - 67.50

k = 50

Therefore, rewriting the eqn i, we have

C = 6.75n + 50

5 0
3 years ago
Jim pays $75 per month for a cell phone plan plus $0.30 per minute beyond the first 1000 minutes. Write an equation for the cost
iragen [17]
The answer is 75+ 0.30(x) = y
8 0
2 years ago
Read 2 more answers
Need to find the direction angle for each vector. #10 and #12 please!
crimeas [40]

Answer:

10)  - 45 degrees

12)  0 degrees

Step-by-step explanation:

10)

Find the x and y components that define the vector that joins C with D:

x-component: -4 - (-8) = - 4 + 8 = 4

y-component:  4 - 8 = -4

use the tangent function to find the angle \theta:

tan(\theta)=\frac{y-comp}{x-comp}=\frac{-4}{4}  = -1\\\theta = -45^o

12)

Find the x and y components that define the vector that joins A with B:

x-component: 7 - 4 = 3

y-component:  - 1 - (-1) = -1 + 1 = 0

use the tangent function to find the angle \theta:

tan(\theta)=\frac{y-comp}{x-comp}=\frac{0}{3}  = 0\\\theta = 0^o

5 0
3 years ago
△PQR is rotated 180° about the origin. What is the coordinate for Q' ?
oee [108]

Answer:

Part 1:

Q’ = (2, -3)

Part 2:

R’ = (-3, -4)

Hope this helps!

8 0
3 years ago
PLEASE HELP ASAP!! SPAM ANSWERS WILL BE REPORTED. I REALLY APPRECIATE IT
Advocard [28]

i think it's linear -2, y intercept = 35. it's like 35 every 2 minutes, i think I might be wrong sorry

4 0
2 years ago
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