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4 years ago

Because the length cannot be negative the height of the plane is ___ miles.

Mathematics

1 answer:

Rudik [331]4 years ago

8 0

Look at all the steps above. They lead to a double solution. The symbol

$x=\pm 5$

means that $x$ can be either positive or negative 5. You can't accept negative values for lengths, so you're left with one option only.

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Find the 17th term of an arithmetic sequence whose first term is 12 and whose common difference is 6. Type answer as an integer

erastova [34]

Answer:

Step-by-step explanation:

n17 = ?

n = 17

d = 6

a1 =12

a17 = a1 +(n - 1)d

a17 = 12 + (17 - 1)*6

a17 = 12 + 16*6

a17 = 12 + 96

a17 = 108

4 0

3 years ago

Ms.mitchells coin purse has 20 coins there are 6 pennies are, 4 quarters, 3 dimes, and the remander are nickels

enot [183]

6+4+3= 13 coins

There are 20 coins so you have to subtract 20-13+7

So, Ms. Mitchell has 7 nickels in her purse

7 0

3 years ago

The vertex of a parabola is (-1.5, -12.5), and its y-intercept is (0, -8).

Ostrovityanka [42]

Y = a(x + 1.5)^2 - 12.5
y intercept is (0,-8) so:-
-8 = a(0+1.5)^2 - 12.5
-8 = 2.25a - 12.5
a = 4.5/ 2.25 = 2

so we have

y = 2 ( x +1.5)^2 - 12.5

solving for x when y = 0:-
(x + 1.5)^2 = 12.5/2 = 6.25

taking sqrt's x + 1.5 = +/- 2.5

x = -4, 1

so the x intercepts are (-4,0) and (1,0)

7 0

4 years ago

Mathematical Statement Justification

nataly862011 [7]

Answer:

Look at the explanation

Step-by-step explanation:

after the second line (4x-2x) +20= 2

--------------

after the 3rd line

2x=2-20=-18

-------------------

after 4th line x=-18/2

-----------------------------------------------------------------------------

At the end

4(-9+5)=2(-9)+2

-36+20=-18+2

-16=-16 so it is right

4 0

3 years ago

Darla has four buckets shaped like cylinders she is filling the buckets with water by using a scoop shaped like a cone if the co

padilas [110]

Answer:

12 Scoops

Step-by-step explanation:

Darla has 4 Cylinder Shaped Buckets

Volume of the Cylinders $=4*\pi r^2h$

The scoop is cone shaped and:

Volume of the Cone Scoop $=\frac{1}{3} \pi r^2h$

Since the radius and height of the cone scoop and cylindrical buckets are the same,

The number of Cone Scoops it will take to fill the buckets is:

Total Volume of Buckets/Volume of Cone Scoops

$=\dfrac{4*\pi r^2h}{\frac{1}{3} \pi r^2h} \\=4 \div \frac{1}{3}\\=12$

It will take 12 Scoops to fill the 4 buckets.

5 0

3 years ago