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Andrew [12]
3 years ago
15

Which value is the 10th term in the sequence:-62,-47,-32,-17,-2?

Mathematics
1 answer:
balu736 [363]3 years ago
5 0
The answer is 13
Sure!!!
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Please help will mark brainliest!!!
adell [148]

Answer:

y = 6

Step-by-step explanation:

Its going by 6's

4 0
3 years ago
36. The average height of two cupboards is 1.5 metres. If cupboard B's height
Debora [2.8K]

Answer:

2m

Step-by-step explanation:

2 * 1.5 = 3, the total height

we know that there are three metres total and 1 is half the other, so we divide 3m by 3 = 1m, the height of B,

as A = 2B, A = 2m

4 0
3 years ago
A punch glass is in the shape of a hemisphere with a radius of 5 cm. If the punch is being poured into the glass so that the cha
Galina-37 [17]

Answer:

28.27 cm/s

Step-by-step explanation:

Though Process:

  • The punch glass (call it bowl to have a shape in mind) is in the shape of a hemisphere
  • the radius r=5cm
  • Punch is being poured into the bowl
  • The height at which the punch is increasing in the bowl is \frac{dh}{dt} = 1.5
  • the exposed area is a circle, (since the bowl is a hemisphere)
  • the radius of this circle can be written as 'a'
  • what is being asked is the rate of change of the exposed area when the height h = 2 cm
  • the rate of change of exposed area can be written as \frac{dA}{dt}.
  • since the exposed area is changing with respect to the height of punch. We can use the chain rule: \frac{dA}{dt} = \frac{dA}{dh} . \frac{dh}{dt}
  • and since A = \pi a^2 the chain rule above can simplified to \frac{da}{dt} = \frac{da}{dh} . \frac{dh}{dt} -- we can call this Eq(1)

Solution:

the area of the exposed circle is

A =\pi a^2

the rate of change of this area can be, (using chain rule)

\frac{dA}{dt} = 2 \pi a \frac{da}{dt} we can call this Eq(2)

what we are really concerned about is how a changes as the punch is being poured into the bowl i.e \frac{da}{dh}

So we need another formula: Using the property of hemispheres and pythagoras theorem, we can use:

r = \frac{a^2 + h^2}{2h}

and rearrage the formula so that a is the subject:

a^2 = 2rh - h^2

now we can derivate a with respect to h to get \frac{da}{dh}

2a \frac{da}{dh} = 2r - 2h

simplify

\frac{da}{dh} = \frac{r-h}{a}

we can put this in Eq(1) in place of \frac{da}{dh}

\frac{da}{dt} = \frac{r-h}{a} . \frac{dh}{dt}

and since we know \frac{dh}{dt} = 1.5

\frac{da}{dt} = \frac{(r-h)(1.5)}{a}

and now we use substitute this \frac{da}{dt}. in Eq(2)

\frac{dA}{dt} = 2 \pi a \frac{(r-h)(1.5)}{a}

simplify,

\frac{dA}{dt} = 3 \pi (r-h)

This is the rate of change of area, this is being asked in the quesiton!

Finally, we can put our known values:

r = 5cm

h = 2cm from the question

\frac{dA}{dt} = 3 \pi (5-2)

\frac{dA}{dt} = 9 \pi cm/s// or//\frac{dA}{dt} = 28.27 cm/s

5 0
3 years ago
What is the approximate value of point Y?<br><br> second picture is the answer's
Doss [256]
<h2>Hello!</h2>

The answer is: A. 2π

<h2>Why?</h2>

First,  in order to make it easier, let's convert the numbers into entire or decimal numbers.

A=2\pi=6.28\\B=2\sqrt{12}=6.92\\C=\sqrt{8}=2.82\\D=5.4

So, ordering it:

C, D, A, B

W=C=2.82\\X=D=5.4\\Y=A=6.28\\Z=B=6.92

So, Y=A=6.28

Have a nice day!

6 0
3 years ago
Simplify the expression:<br> 1+4(2x-3)
irina1246 [14]

Answer:

8x - 11

Step-by-step explanation:

?

just do the multiplications and add things up.

1 + 4(2x - 3) = 1 + 8x -12 = 8x - 11

6 0
3 years ago
Read 2 more answers
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