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AleksandrR [38]
2 years ago
14

⁵

Mathematics
1 answer:
s2008m [1.1K]2 years ago
4 0

9514 1404 393

Answer:

  51

Step-by-step explanation:

The rule gives the sequence ...

  75, 69, 63, 57, 51, 45, ...

The 5th number in the sequence is 51.

__

<em>Alternate solution</em>

The equation for the general term of an arithmetic sequence is ...

  an = a1 +d(n -1) . . . . . for first term a1 and common difference d

Your sequence has first term 75 and common difference -6, so the equation is ...

  an = 75 -6(n -1)

Then for n=5, the term is ...

  a5 = 75 -6(5 -4) = 75 -24 = 51

The 5th term is 51.

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2 years ago
Read 2 more answers
The Russian ice breaker you mall can move forward through 2.3 m thick ice at a speed of 5.5 km/h. Right and solve a multiplicati
viktelen [127]

Answer:

The Multiplication equation to find the number of hours taken to travel the distance is 5.5\times x=82.5.

It will taken <u>15 hours</u> by  Russian ice breaker to travel a distance of 82.5 km through the ice.

Step-by-step explanation:

Given:

Thickness of the ice = 2.3 m

Speed while moving forward = 5.5 km/h

Distance to travel through the ice = 82.5 km

We need to write and solve the multiplication equation to find the number of hours taken to travel the distance.

Solution:

Let the number of hours taken to travel the distance be 'x'.

Now We know that;

By Distance formula;

Distance traveled is equal to Speed while moving forward multiplied by the number of hours taken to travel the distance.

framing in equation form we get;

5.5\times x=82.5

Hence The Multiplication equation to find the number of hours taken to travel the distance is 5.5\times x=82.5

On Solving above equation we get;

Dividing both side by 5.5 we get;

\frac{5.5x}{5.5}=\frac{82.5}{5.5}\\\\x=15 \ hrs

Hence It will taken <u>15 hours</u> by  Russian ice breaker to travel a distance of 82.5 km through the ice.

8 0
2 years ago
Could someone help me please please
Vera_Pavlovna [14]

this is what you get while graphing the equation ! hopes this helps with your answer !

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2 years ago
Which statement best explains whether △PQR is congruent to △XYZ?
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3 0
3 years ago
HURRY HELP PLS‼️‼️‼️
Brums [2.3K]

Answer:

Step-by-step explanation:

To solve this problem you need the function

 

h(t) = -16t2 + v0t + h0

where t = time

v0 is the initial velocity, which in our case is 0

h0 = initial height, which in our case is 256

h(t) = 0 since we want to know when the ball will hit the ground.

 

0 = -16 t2 + 256

 

And we can solve for t

 

If we rearrange the terms we see that this is a difference of 2 squares

0 = 256 - 16t2

 

0 = (16-4t)(16+4t)

Setting each factor = 0

16-4t=0       16+4t=4

t = 4             t = -4

 

The second solution is discarded as time cannot be negative.

 

So the ball will hit the ground in 4 seconds.

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