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2 years ago

Please help me out :)

Mathematics

2 answers:

alex41 [277]2 years ago

4 0

The answer is A. 1023

Ainat [17]2 years ago

3 0

2^0+2^1+....+2^9= 2^10-1= 1024-1=1023

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Jan 258:00:56 AM

horsena [70]

Answer:

The equation of the straight line in point-slope form

$y - 4 = \frac{7}{9} (x-0)$

The equation of the straight line

7x -9y +36 =0

Step-by-step explanation:

Step(i):-

Given that the points (0,4) and (-9,-3)

The slope of the line

$m = \frac{y_{2} - y_{1} }{x_{2}- x_{1} } = \frac{-3-4}{-9-0} = \frac{7}{9}$

Step(ii):-

Equation of the straight line passing through the point (0,4) and having slope m = 7/9

$y - y_{1} = m (x-x_{1} )$

$y - 4 = \frac{7}{9} (x-0)$

9 y - 36 = 7x

9y = 7x + 36

$y = \frac{7x}{9} +\frac{36}{9}$

Slope - intercept form

$y = \frac{7x}{9} +4$

Final answer:-

The equation of the straight line in point-slope form

$y - 4 = \frac{7}{9} (x-0)$

The equation of the straight line

7x -9y +36 =0

8 0

2 years ago

A square field measures 900 square meter what is the length of one side of the field

kari74 [83]

If the square field measures 900 square meters, it must be equal on all sides. That means the length of one side alone would be equal to 900/4 which is 225.

7 0

3 years ago

Read 2 more answers

Find the 10th term of the arithmetic sequence -x + 9, 4x + 14, 9x + 19, ...

rusak2 [61]

Answer:

44x + 54

Step-by-step explanation:

The nth term of an arithmetic sequence is given by :

Tn = a + (n - 1)d

d = common difference = T2 - T1

d = T2 - T1

a = first term = - x + 9

d = 4x + 14 - (-x + 9)

d = 4x + 14 + x - 9

d = 5x + 5

The 10th term:

T(10) = (-x + 9) + (10 - 1)*(5x + 5)

T(10) = - x + 9 + 9(5x + 5)

T(10) = - x + 9 + 45x + 45

T(10) = 44x + 54

Hence, the 10th term is 44x + 54

5 0

2 years ago

A hotel charges a $10,000 annual fee plus an additional $200 for each night you stay there. What is the average cost per night i

Anton [14]

Answer:

$\$400$

Step-by-step explanation:

GIVEN: A hotel charges a $\$10000$ annual fee plus an additional $\$200$ for each night you stay there.

TO FIND: average cost per night if you stay at the hotel for $50$ nights.

SOLUTION:

Annual fee charged by hotel $=\$10000$

amount charged each night we stay there $=\$200$

Total number of nights we stay $=50$

Total amount paid for $50$ nights $=50\times\$200$

$=\$10000$

Total amount paid $=\text{annual fee}+\text{total amount paid for 50 nights}$

$=\$10000+\$10000$

$=\$20000$

average cost per night $=\frac{\text{total amount paid}}{\text{total number of nights of stay}}$

putting values,

average cost per night $=\frac{20000}{50}$

$=\$400$

Hence average cost per night if we stay at hotel for $50$ days is $\$400$

6 0

3 years ago

Mary runs 5 3\4 miles each day from Sunday through Tuesday.She takes Wednesday off. She then runs the same distance each day fro

Anna71 [15]

Answer:

Step-by-step explanation:

Can u give me thanks I need it so I can get 50 points plz

7 0

3 years ago