1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
larisa86 [58]
3 years ago
14

The eighth grade math teachers decided to

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
4 0

Answer:

this would be your answer not sure if you need to round 4.085 so pretty much the answer would be 3 because you have enough for about 4 and a half

Step-by-step explanation:

You might be interested in
Mr and mrs smith buy tickets for themselves and their four children. the cost of an adult ticket is ? 6 more than the adult tick
kirill115 [55]

Answer:

child's ticket =  4.75        adult ticket=10.75.

Step-by-step explanation:

The cost of an adult ticket is 6 more than that of a child ticket, so will be denoted by c+6. Now, we are told that the cost of four child tickets and two adult tickets is 40.50, so we can put this in an equation and solve for c:

(c+6)+(c+6)+c+c+c+c=40.50

6c+12=40.50

6c=28.50

c=4.75

Therefore the cost of a child's ticket (c) is 4.75 and the cost of an adult ticket (c+6) is 10.75.

4 0
3 years ago
B) Let g(x) =x/2sqrt(36-x^2)+18sin^-1(x/6)<br><br> Find g'(x) =
jolli1 [7]

I suppose you mean

g(x) = \dfrac x{2\sqrt{36-x^2}} + 18\sin^{-1}\left(\dfrac x6\right)

Differentiate one term at a time.

Rewrite the first term as

\dfrac x{2\sqrt{36-x^2}} = \dfrac12 x(36-x^2)^{-1/2}

Then the product rule says

\left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 x' (36-x^2)^{-1/2} + \dfrac12 x \left((36-x^2)^{-1/2}\right)'

Then with the power and chain rules,

\left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 (36-x^2)^{-1/2} + \dfrac12\left(-\dfrac12\right) x (36-x^2)^{-3/2}(36-x^2)' \\\\ \left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 (36-x^2)^{-1/2} - \dfrac14 x (36-x^2)^{-3/2} (-2x) \\\\ \left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 (36-x^2)^{-1/2} + \dfrac12 x^2 (36-x^2)^{-3/2}

Simplify this a bit by factoring out \frac12 (36-x^2)^{-3/2} :

\left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 (36-x^2)^{-3/2} \left((36-x^2) + x^2\right) = 18 (36-x^2)^{-3/2}

For the second term, recall that

\left(\sin^{-1}(x)\right)' = \dfrac1{\sqrt{1-x^2}}

Then by the chain rule,

\left(18\sin^{-1}\left(\dfrac x6\right)\right)' = 18 \left(\sin^{-1}\left(\dfrac x6\right)\right)' \\\\ \left(18\sin^{-1}\left(\dfrac x6\right)\right)' = \dfrac{18\left(\frac x6\right)'}{\sqrt{1 - \left(\frac x6\right)^2}} \\\\ \left(18\sin^{-1}\left(\dfrac x6\right)\right)' = \dfrac{18\left(\frac16\right)}{\sqrt{1 - \frac{x^2}{36}}} \\\\ \left(18\sin^{-1}\left(\dfrac x6\right)\right)' = \dfrac{3}{\frac16\sqrt{36 - x^2}} \\\\ \left(18\sin^{-1}\left(\dfrac x6\right)\right)' = \dfrac{18}{\sqrt{36 - x^2}} = 18 (36-x^2)^{-1/2}

So we have

g'(x) = 18 (36-x^2)^{-3/2} + 18 (36-x^2)^{-1/2}

and we can simplify this by factoring out 18(36-x^2)^{-3/2} to end up with

g'(x) = 18(36-x^2)^{-3/2} \left(1 + (36-x^2)\right) = \boxed{18 (36 - x^2)^{-3/2} (37-x^2)}

5 0
2 years ago
Simplify the radical expression. Please explain how you got your answer.<br><br> √25/4
astra-53 [7]
√25/4=5/2 because 5/2 times 5/2 equal 25/4. Hope it help!
6 0
3 years ago
Simplify the following expression.<br> 2x^2-9-17x^2+10+7x
snow_lady [41]

Answer:

- 15x² + 7x + 1

Step-by-step explanation:

Given

2x² - 9 - 17x² + 10 + 7x ← collect like terms

= (2x² - 17x² ) + 7x + 1

= - 15x² + 7x + 1

5 0
3 years ago
24 ÷ 21 with out any remainders​
shtirl [24]
24 divided by 21 is 1.14285714286. In fraction form it is 8/7, or 1 1/7.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Arturo bought a cabin by a lake for $39,439. Jake bought the cabin next door. Arturo paid $10,430 less for his cabin than Jake.
    8·1 answer
  • Explain two different ways to simplify 6/12
    7·2 answers
  • A rectangle has an area of x square units. The rectangle is dilated to create a new rectangle with an area of 9x square units. D
    12·1 answer
  • A bridge 48m tall.a scale model of the bridge 37cm long and 12cm tall .how long is the actual bridge .
    15·1 answer
  • Draw four points, A, B, C, and D, on a line so that AC and AB are opposite rays and AC
    12·1 answer
  • Determine: t(4) for t (x)=2x²-3/5
    15·1 answer
  • Help please what is this?
    12·1 answer
  • 1. How much interest
    10·2 answers
  • (2/3) × (2/3) × (2/3)​
    7·1 answer
  • Which of the following statements about least squares regression analysis is true?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!