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3 years ago

What is the average for 35 and 66?

Mathematics

1 answer:

irina1246 [14]3 years ago

5 0

It would be: 35+66 / 2 = 101/2 = 50.5

So, 50.5 is your answer

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If ln(4x+y)=2x-3,then dy/dx=

Viktor [21]

$\ln(4x+y)=2x-3$

Differentiate both sides wrt $x$ :

$\dfrac{\mathrm d(\ln(4x+y))}{\mathrm dx}=\dfrac{\mathrm d(2x-3)}{\mathrm dx}$

By the chain rule, we get

$\dfrac1{4x+y}\dfrac{\mathrm d(4x+y)}{\mathrm dx}=2$

$\dfrac{4+\frac{\mathrm dy}{\mathrm dx}}{4x+y}=2$

Solve for $\frac{\mathrm dy}{\mathrm dx}$ :

$4+\dfrac{\mathrm dy}{\mathrm dx}=8x+2y$

$\boxed{\dfrac{\mathrm dy}{\mathrm dx}=8x+2y-4}$

4 0

3 years ago

In abc above,what is the length of ad

Nezavi [6.7K]

Answer:

Step-by-step explanation:

First calculate BD using sine ratio in Δ BCD and the exact value

sin60° = $\frac{\sqrt{3} }{2}$ , thus

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{BD}{BC}$ = $\frac{BD}{12}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2BD = 12 $\sqrt{3}$ ( divide both sides by 2 )

BD = 6 $\sqrt{3}$

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

Calculate AD using the tangent ratio in Δ ABD and the exact value

tan30° = $\frac{1}{\sqrt{3} }$ , thus

tan30° = $\frac{opposite}{adjacent}$ = $\frac{AD}{BD}$ = $\frac{AD}{6\sqrt{3} }$ = $\frac{1}{\sqrt{3} }$ ( cross- multiply )

$\sqrt{3}$ AD = 6 $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

AD = 6 → B

4 0

3 years ago

A rectangular garden has length and width as given by the expressions below.

Helen [10]

2[4 − 7(3x + 4y)] + 2[3x(−2y)]
2[4 - 21x -28y] + 2[-6xy]
8 - 42x - 56y -12xy

the perimeter of given rectangular garden is (8 - 42x - 56y -12xy).

4 0

4 years ago

In a test (+4) marks are given for every correct answers and (-3) marks are given for every incorrect answers 1) Tahiya answered

stealth61 [152]

Answer:

Tahiya attempted 3 incorrect answers.

Helmin attempted 11 incorrect answers.

Step-by-step explanation:

Correct = +4

Incorrect = -3

1) Tahiya got 12 correct answers and scored a 40, the number of incorrect answers was:

$4*12-3I=40\\I=\frac{8}{3}\\I=2.67$

2) Helmin got 5 correct answers and scored a -14, the number of incorrect answers was:

$4*5-3I=-14\\I=\frac{34}{3}\\I=11.33$

In both cases the number of incorrect answers obtained is a fraction, which means that either the data provided is inaccurate, or that the scores obtained by the students are approximate. Let's round the number of incorrect answers to the nearest whole answer.

Tahiya attempted 3 incorrect answers.

Helmin attempted 11 incorrect answers.

4 0

3 years ago

Heyguys can soeom plzz help meee?? IDK how to do this!! 20 Points? plz write all details of the problem plzz!

marin [14]

Answer:

The distance travelled is 7.98×10³ miles.

Step-by-step explanation:

Given that the formula to find distance is Distance = Speed×Time. Then you have substitute the values into the formula :

$distance = speed \times time$