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PilotLPTM [1.2K]
3 years ago
11

Plz helpppp fast plzzzzz Write the sum using summation notation, assuming the suggested pattern continues. -3 + 6 + 15 + 24 + ..

. + 132. a) summation of negative 27 times n from n equals 0 to infinity b) summation of negative 27 times n from n equals 0 to 15 c) summation of the quantity negative 3 plus 9 n from n equals 0 to infinity d) summation of the quantity negative 3 plus 9 n from n equals 0 to 15
Mathematics
1 answer:
Olin [163]3 years ago
6 0

Answer:

It is the first choice.

Step-by-step explanation:

This is a sequence where

the next term is obtained by adding 6.

first term = -9 + 6(0) = -9

second term = -9 + 6(1) = -3

third term = -9 + 6(2) = 3

4th term = -9 + 6(3)  = 9  

and 81 = -9 + (6*15).

So the answer is  Sigma (-9 + 6n)  from n= 0 to n = 15.

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Annie and her family are on their way to visit some family friends who live 820 miles away from them. Based on the route they ch
Stella [2.4K]

Answer:

4 hours

Step-by-step explanation:

The distances and average speeds for the first two days driven are show below.

Step 1

We calculate the total distance covered in the first two days

First day: 6 hours at an average speed of 60 miles per hour

Hence:

1 hour = 60 miles

6 hours = x

x = 60 × 6

x = 360 miles

Second day: 4 hours at an average speed of 65 miles per hour

Hence:

1 hour = 65 miles

4 hours = x

x = 65 × 4

x = 260 miles

The distance covered for the first two days =

(360 + 260)miles

= 620 miles

Step 2

The total distance for the entire trip = 820 miles

Hence, the distance left to cover on the third day = (820 - 620)miles

= 200 miles

In the question, we are told:

If the average speed on the third day is 50 miles per hour,

The number of hours it will take for them to reach their family friends home is calculated using the formula

Time = Distance/Speed

Time = 200 miles/50 miles per hour

Time = 4 hours

3 0
3 years ago
The Sahara Desert has an area of approximately 9,400,400 km2. While estimates of its average depth vary, they center around 150
dolphi86 [110]

Answer:

1.128048 \times 10^{25} grains of sand are in the Sahara Desert

Step-by-step explanation:

Given :

The Sahara Desert has an area of approximately 9,400,400 sq.km.

Depth = 150 m

To Find :Approximately how many grains of sand are in the Sahara Desert?

Solution:

Area of Sahara desert = 9,400,400 sq.km.

1 km^2 = 1000000 m^2

So, 9,400,400 km^2 = 1000000 \times 9400400 m^2

9,400,400 km^2 =9.4004 \times 10^{12}m^2

Volume of sand =Area \times depth

                           =1.41006\times 10^{15} m^3

1 m ^3 = 1000000 cm^3

So, 1.41006\times 10^{15} m^3 = 1.41006\times 10^{15} \times 1000000cm^3

1.41006\times 10^{15} m^3 =1.41006 \times 10^{21}cm^3

1 cubic cm holds grains of sand = 8000

1.41006 \times 10^{21}cm^3 holds grains of sand = 1.41006 \times 10^{21} \times 8000

                                                                                    = 1.128048 \times 10^{25}

Hence 1.128048 \times 10^{25} grains of sand are in the Sahara Desert

7 0
3 years ago
Solve the equation for the variable. Show all work. 14 x – 21 = 49
Lubov Fominskaja [6]

x=5

14x5= 70

70-21=49

this is how I got the answer




8 0
3 years ago
Read 2 more answers
Write the equation of the line described
Alexeev081 [22]

Step-by-step explanation:

slope = x factor = - 5/2

Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

New slope = 2/5 = m

y = mx + b

from the point given y = 2 | x = -4

2 = (2/5 × -4 ) + b

2 = - 1.6 + b

b = 3.6

line equation

y =  \frac{2}{5} x + 3.6

4 0
3 years ago
Select the correct comparison. Plz help will give brainliest
Nikolay [14]

Answer:A is the answer just took test

Step-by-step explanation:

6 0
3 years ago
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