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seropon [69]
3 years ago
13

Find the distance between -2/3 and 4/3 on a number line

Mathematics
1 answer:
finlep [7]3 years ago
3 0

Answer:

7

Step-by-step explanation:

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The speed limit is 50 miles per hour. Kyle is driving to a baseball game that starts in 2 hours. Kyle is 130 miles away from the
Marizza181 [45]

Answer: No. Kyle will arrive late

Step-by-step explanation:

The only speed limit is 50 miles per hour.

Kyle must cover 130 miles.

His travel time = 130/50 = 2.6

2 hours + (0.6 of 60 minutes )

2 hours + (36 minutes)

i.e kyle needs 2hours 36 minutes to cover 130 miles

And since the baseball starts in 2 hours, kyle will be late. Thus, the answer is No

8 0
3 years ago
Which graph is not a function ? Why isn’t it ?
bulgar [2K]

Answer:

Graph 2

Step-by-step explanation:

Graph two is not a function because it does not pass "the vertical line test", which is a method of determining if a graph is a function or not. To do this, we use our pen to check that for every x value there is only one y value. In graph two, however, this is not the case.

3 0
3 years ago
The total mass of the Sun is about 2×10^30 kg, of which about 76 % was hydrogen when the Sun formed. However, only about 12 % of
nignag [31]

Answer:

A. 1.8 ×10^{30} Kg

B i. 3.0 × 10^{17} seconds

  ii. 9.6 × 10^{9} years

C. After 9.2 × 10^{9} (9.2 billion) years

Step-by-step explanation:

Given that the mass of the Sun = 2× 10^{30} Kg.

Mass of hydrogen when Sun was formed = 76% of 2× 10^{30} Kg

                            = \frac{76}{100}  ×2× 10^{30} Kg

                           = 1.52 × 10^{30} Kg

Mass of hydrogen available for fusion = 12% of 1.52 × 10^{30} Kg

                           = \frac{12}{100} × 1.52 × 10^{30} Kg

                           = 1.824 ×10^{30} Kg

A. Total mass of hydrogen available for fusion over the lifetime of the sun is 1.8 ×10^{30} Kg.

B. Given that the Sun fuses 6 × 10^{11} Kg of hydrogen each second.

i. The Sun's initial hydrogen would last;

                                     \frac{1.8*10^{30} }{6*10^{11} }

                                 = 3.04 × 10^{17} seconds

The Sun's hydrogen would last 3.0 × 10^{17} seconds

ii. Since there are 31536000 seconds in a year, then;

The Sun's initial hydrogen would last;

                                     \frac{3.04*10^{17} }{31536000}

                                 = 9.640 × 10^{9} years

The Sun's hydrogen would last 9.6 × 10^{9} years.

C. Given that our solar system is now about 4.6 × 10^{9} years, then;

                               \frac{9.6*10^{9} }{4.6*10^{9} }

                             = 2.09

So that;   2 × 4.6 × 10^{9} = 9.2 × 10^{9} years

Therefore, we need to worry about the Sun running out of hydrogen for fusion after 9.2 × 10^{9} years.

6 0
3 years ago
Shawna finds a study of American men that has an equation to predict weight (in pounds) from
scZoUnD [109]

Answer:

-11.2 pounds

Step-by-step explanation:

It is given that,

Shawna finds a study of American men that has an equation to predict weight (in pounds) from  height (in inches):

y = -210 + 5.6x

Height of Shawna's dad is 72 inches

Weight is 182 pounds

We need to find the residual of weight and height for Shawna's dad.

Predicted weight of 72 inches men,

y' = -210 + 5.6(72)

y' = 193.2 pounds

So, residual is :

Y = 182 - 193.2

Y = -11.2 pounds

So, the residual of weight and height for Shawna's dad is -11.2 pounds.

4 0
3 years ago
The formula for perimeter of a rectangular field is P = 2L + 2W.
Mariana [72]

Answer:

The length is 7 meters

Step-by-step explanation:

Formula: P = 2L + 2W

Plug in 24 for the perimeter and 5 for the width

New equation: 24 = 2L + 2(5)

Simplify: 24 = 2L + 10

Subtract 10 from both sides: 24 - 10 = 2L + 10 - 10

Simplify: 14 = 2L

Divide both sides by 2: L = 7

<u>Answer: L = 7</u>

3 0
3 years ago
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