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FromTheMoon [43]
3 years ago
5

Please help me please I really need help

Mathematics
1 answer:
Luba_88 [7]3 years ago
3 0

Answer:

See below

Step-by-step explanation:

The answer is attached

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The hose on a power washer is 42-ft. long. If the compressor to which the house is attached is located at the corner of a 28-ft
oee [108]

9514 1404 393

Answer:

  a) 14√5 feet

  b) about 31.3 feet

Step-by-step explanation:

a) The 42-ft hose is the hypotenuse of a right triangle with one leg 28 ft. We are asked to find the other leg. The Pythagorean theorem is useful.

  h² +(28 ft)² = (42 ft)²

  h² = (1764 -784) ft² = 980 ft²

  h = √(196·5) ft

  h = 14√5 ft

__

b) The approximate height is ...

  14√5 ≈ 31.305, about 31.3 feet

4 0
3 years ago
What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y
Korolek [52]

Answer:

\displaystyle \boxed{y = -1\frac{1}{3}x + 22}

Step-by-step explanation:

<em>Parallel</em><em> </em><em>Equations</em><em> </em>have SIMILAR <em>RATE OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], so keep \displaystyle -\frac{4}{3}as is and do this:

14 = −4⁄3[6] + b

14 = −8 + b

+ 8 + 8

_________

\displaystyle 22 = b \\ \\ y = -1\frac{1}{3}x + 22

I am joyous to assist you at any time.

4 0
3 years ago
Find an explicit formula for the sequence 2, 4, 8, 16, 32
MA_775_DIABLO [31]

Answer:

a

n

=

4

⋅

2

n

−

1

if it is a geometric sequence.

or could be:  

a

n

=

1

3

(

2

n

3

−

6

n

2

+

16

n

)

if not.

Explanation:

There is a common ratio between successive pairs of terms:

8

4

=

2

16

8

=

2

32

16

=

2

So this looks like a geometric sequence with initial term  

a

=

4

and common ratio  

r

=

2

.

If so, the formula for the  

n

th term is:

a

n

=

a

r

n

−

1

=

4

⋅

2

n

−

1

This is probably the answer expected by the questioner.

However, note that any finite sequence of terms does not determine an infinite sequence - unless you are told what kind of sequence it is - e.g. arithmetic, geometric, harmonic.

For example, we can match these first  

4

terms with a cubic formula as follows:

Write down the sequence as a list:

4

,

8

,

16

,

32

Write down the sequence of differences between each pair of terms:

4

,

8

,

16

Write down the sequence of differences of this sequence:

4

,

8

Write down the sequence of differences of this sequence:

4

Having reached a constant sequence (albeit consisting of only one term), we can use the initial term of each of the sequences we have found as coefficients of a formula for the  

n

th term:

a

n

=

4

0

!

+

4

1

!

(

n

−

1

)

+

4

2

!

(

n

−

1

)

(

n

−

2

)

+

4

3

!

(

n

−

1

)

(

n

−

2

)

(

n

−

3

)

=

4

+

(

4

n

−

4

)

+

(

2

n

2

−

6

n

+

4

)

+

(

2

3

n

3

−

4

n

2

+

22

3

n

−

4

)

=

2

3

n

3

−

2

n

2

+

16

3

n

=

1

3

(

2

n

3

−

6

n

2

+

16

n

Step-by-step explanation:

7 0
3 years ago
The speed on a highway is 70 miles per hour.About how fast is this in miles per miniute
Natali [406]

Answer:

it is 1.16666666666666666666666666666666666

Step-by-step explanation:


4 0
3 years ago
Find the vertex, focus, and directrix. y = 1/24(x+1)² - 3. 
Vedmedyk [2.9K]
y = \frac{1}{24}(x+1)^2 - 3\\\\y+3 =\frac{1}{24}(x+1)^2\ \ / *24\\\\ (x+1)^2 = 24(y+3)

This   is  an  equation  of  a  parabola  that  opens  upwards.

Its \ standard \ form: \\(x-h)^2=4p(y-k)\\ (h,k)=(x,y) \ coordinates \ of \ the \ vertex\\\ (h,k)=(-1,-3) \\\\axis \ of \ symmetry: \ x= -1\\ \\4p=24\ \ /:4\\p=6

focus:(h,k+p)=(-1,-3+6)=(-1,3) \\ \\directrix: \ y=k-p=-3-6=-9


6 0
3 years ago
Read 2 more answers
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