Which measurement is not equivalent to the others? 6,000 mg 6 g 60 kg 0.006 kg

What is the slope of the line that passes through the points (0, -7) and (-4, 3)?

AleksAgata [21]

B. -5/2 is the correct answer

8 0

3 years ago

Please I need this before 12pm

luda_lava [24]

Answer:

The required formula is:

$\ a_{n}=a_{1}+(n-1)d$

Step-by-step explanation:

The total number of squares of the the first term = 4

The total number of squares of the the second term = 7

The total number of squares of the the third term = 10

so,

$a_1=4$

$a_2=7$

$a_3=10$

Finding the common difference d

$d=a_3-a_2=10-7=3$

$d=a_2-a_1=7-4=3$

As the common difference 'd' is same, it means the sequence is in arithmetic.

So

If the initial term of an arithmetic progression is $a_{1}$ and the common difference of successive members is d, then the nth term of the sequence $(a_n)$ is given by:

$\ a_{n}=a_{1}+(n-1)d$

Therefore, the required formula is:

$\ a_{n}=a_{1}+(n-1)d$

3 0

3 years ago

A man walked north 119 feet and then west 120 feet. Find the shortest distance between the start and end points.

PIT_PIT [208]

Answer:

169 feet

Step-by-step explanation:

(see attached)

5 0

3 years ago

Enter the ratio as a fraction in lowest terms 6 ft to 40 in.

tresset_1 [31]

Answer:

9 in. to 5 in.

or 9/5

Step-by-step explanation:

6 ft=6*12=72 in.

6 ft/ 40 in.=72/40=9/5

9 in. to 5 in.

3 0

4 years ago

Read 2 more answers

Benito embroiders and sells T-shirts. The graph shows his profit as a function of the number of shirts sold. After selling a cer

vovikov84 [41]

Answer:

The correct option is;

The x-intercept represents the shirts he has to sell before making a profit

Step-by-step explanation:

The given data are;

(0, -20), (1, -10), (2, 0), (3, 10), (4, 20), (5, 30), (6, 40), (7, 50), (8, 25), (9, 40), (10, 55), (11, 70)

The data show a linear relationship because successive data point increases by the same amount of 10 for x between 0 and 7 and 15 for x between 8 and 11;

Therefore;

Slope, m of the first linear portion using points (2, 0), and, (4, 20) gives;

m = (20 - 0)/(4 - 2) = 10

The equation of the line is therefore;

y - 20 = 10·(x - 4)

y = 10·x - 40 + 20

y = 10·x - 20

The y-intercept (x = 0) is y = -20

The x-intercept (y = 0) is found as follows;

0 = 10·x - 20

20 = 10·x

10·x = 20

x = 20/10 = 2

Therefore, when x = 2 we have;

Profit = y = 10·x - 20 = 10×2 - 20 = 0

Which can be expressed as, he has to sell more than 2 shirts to make profit

Therefore, the correct option is that the x-intercept represents the shirts he has to sell before making a profit.

4 0

3 years ago