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Hatshy [7]
2 years ago
6

A commuter train travels 49 miles in 45 minutes. What is its speed in miles per​ hour?

Mathematics
2 answers:
anastassius [24]2 years ago
6 0

Answer:

★ The answer would be 0.02 MILES PER HOUR

Step-by-step explanation:

Hope you have a great day :)

Free_Kalibri [48]2 years ago
3 0

Answer:

65.3 km/hr

Step-by-step explanation:

49/45 x 60 = 65.3 km/hr

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The hypotenuse is 8 inches. The side opposite angle X is 7 inches. Angle X = ?
Alex73 [517]

Step-by-step explanation:

In the picture.

The answer is <em><u>X = 61°</u></em>

6 0
3 years ago
Depreciation is the decrease in value of an item. Three years ago, Aaron bought a computer for $930. The computer is now worth $
Umnica [9.8K]

Answer:

$120

Step-by-step explanation:

930-570=360 (Price difference in 3 years)

360 divided by 3= 120 (Price difference for each of the 3 years)

7 0
3 years ago
Using 50 observations, the following regression output is obtained from estimating y = β0 + β1x + β2d1 + β3d2 + ε. Coefficients
pickupchik [31]

Answer:

The answer is "789.03 and 806.16".

Step-by-step explanation:

y\^ \ \ = -0.45 + 3.78(x)  -11.88(d_1) + 5.25(d_2)

For point a:

Calculating the value for y\^  \ \  x = 212,\ \  d_1 = 1, and  \ \ d_2 = 0

y\^  = -0.45 + 3.78(212)  -11.88(1) + 5.25(0)

     = -0.45 + 801.36 -11.88 + 0\\\\= 789.03  

For point b:

Calculating the value of y\^ \ \ for \ \ x = 212, \ \ d_1 = 0, and \ \ d_2 = 1

y\^  = -0.45 + 3.78(212)  -11.88(0) + 5.25(1)  

    = -0.45 + 801.36 -0 + 5.25\\\\= 806.16

3 0
3 years ago
A certain forest covers an area of
iVinArrow [24]

Answer:

2598 square kilometers

Step-by-step explanation:

Hello

Step 1

year one

using a rule of three is possible to find how much is 8.75 od 4500 km2

Let

if

4500 km2  ⇒ 100$

x?km2         ⇒8.75

do the relation and isolate x

4500:100\\x:8.75\\\frac{4500}{100}=\frac{x}{8.75}\\x=\frac{4500*8.75}{100} \\x=393.75\\

at the end of the year one, the area will be

4500-393.75=4106.25

this will be the initial area for the year 2.

Step 2

repite the step 1 with area initial =4106.25 km2

4106.25 km2  ⇒ 100$

x?km2         ⇒8.75

do the relation and isolate x

4106.25:100\\x:8.75\\\frac{4106.25}{100}=\frac{x}{8.75}\\x=\frac{4106.25*8.75}{100} \\x=359.29\\

at the end of the year 2, the area will be

4106-359.29=3746.70

this will be the initial area for the year 3.

Step 3

repite the step 1 with area initial =4106.25 km2

3746.70 km2  ⇒ 100$

x?km2         ⇒8.75

do the relation and isolate x

3746.70:100\\x:8.75\\\frac{3746.70}{100}=\frac{x}{8.75}\\x=\frac{3746.7*8.75}{100} \\x=327.83\\

at the end of the year 3, the area will be

3746.70-327.83=3419.09

this will be the initial area for the year  4.

Step 4

year four

repite the step 1 with area initial =3419.09 km2

3419.09 km2  ⇒ 100$

x?km2         ⇒8.75

do the relation and isolate x

3419.09:100\\x:8.75\\\frac{3419.09}{100}=\frac{x}{8.75}\\x=\frac{3419.09*8.75}{100} \\x=299.17\\

at the end of the year 4, the area will be

3419.09-299.173=3119.82

this will be the initial area for the year  5.

Step 5

year five

repite the step 1 with area initial =3119.82 km2

3119.82 km2  ⇒ 100$

x?km2         ⇒8.75

do the relation and isolate x

3119.82:100\\x:8.75\\\frac{3119.82}{100}=\frac{x}{8.75}\\x=\frac{3119.82*8.75}{100} \\x=272.99\\

at the end of the year 5, the area will be

3119.82-272.99=2846.92

this will be the initial area for the year  6.

Step 6

year six

repite the step 1 with area initial =2846.92km2

2846.92 km2  ⇒ 100$

x?km2         ⇒8.75

do the relation and isolate x

2846.92:100\\x:8.75\\\frac{2846.92}{100}=\frac{x}{8.75}\\x=\frac{2846.92*8.75}{100} \\x=249.10\\

at the end of the year six, the area will be

2846.92-249.10=2597.82 square kilometers

Have a great day.

8 0
3 years ago
What is the conjecture of 1, 8, 27, 64, __, __, __, __, __, what is the pattern?
NikAS [45]

Answer:

The pattern = 1³, 2³ 3³, 4³, 5³, 6³, 7³, 8³, 9³,

The answer = 1, 8, 27, 64, 125, 216, 343, 512, 729,

Step-by-step explanation:

what is the pattern?

We are given the following sequence:

1, 8, 27, 64, __, __, __, __, __,

Observing the sequence above, for every consecutive natural number

x, x + 1, x + 2, x + 3.......

The above pattern is : the cube of every consecutive natural number. That is: x³, (x + 1)³, (x + 2)³, (x + 3)⁴

1, 8, 27, 64, __, __, __, __, __,

= 1³, 2³ 3³, 4³, 5³, 6³, 7³, 8³, 9³,

Hence, the answer

1, 8, 27, 64, 125, 216, 343, 512, 729,

8 0
3 years ago
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