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3 years ago

Evaluate a + 4 when a = 7

Mathematics

1 answer:

aalyn [17]3 years ago

4 0

If a is equal to 7. The answer is 11. 7+4

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To calculate the volume of a cylinder, we have equation like this: V = πd 2 4 h = πr 2h d is the diameter, r is the radius and h

ycow [4]

Answer:

$\delta d =$ +/- 0.01 mm

$\delta r =$ +/- 0.02 mm

Step-by-step explanation:

$\delta d$ . The error of a quantity directly measured is the uncertainty of the tool used for measuring. So error for diameter is 0.01 mm.

$\delta r$ . The error of a quantity obtained multiplying/dividing a measure by a constant is calculated multiplying/dividing the measure uncertainity by the same constant. Radius is calculated as r=2*d, so we calculate $\delta r$ multiplying the diameter uncertainty by 2 ( $\delta r = 2*0.01=0.02$ ).

4 0

3 years ago

Help with this integral<br><br><img src="https://tex.z-dn.net/?f=%20%5Cint%5Climits%20%5Cfrac%7Bdx%7D%7Bx%5E%7B2%7D-4x-13%7D" id

charle [14.2K]

$x^2-4x-13=(x-2)^2-17$

$x-2=\sqrt{17}\sec y$
$\mathrm dx=\sqrt{17}\sec y\tan y\,\mathrm dy$

$\displaystyle\int\frac{\mathrm dx}{x^2-4x-13}=\int\frac{\sqrt{17}\sec y\tan y}{(\sqrt{17}\sec y)^2-17}\,\mathrm dy$
$=\displaystyle\frac1{\sqrt{17}}\int\frac{\sec y\tan y}{\sec^2y-1}\,\mathrm dy$
$=\displaystyle\frac1{\sqrt{17}}\int\frac{\sec y\tan y}{\tan^2y}\,\mathrm dy$
$=\displaystyle\frac1{\sqrt{17}}\int\frac{\sec y}{\tan y}\,\mathrm dy$
$=\displaystyle\frac1{\sqrt{17}}\int\frac{\frac1{\cos y}}{\frac{\sin y}{\cos y}}\,\mathrm dy$
$=\displaystyle\frac1{\sqrt{17}}\int\csc y\,\mathrm dy$
$=-\dfrac1{\sqrt{17}}\ln|\csc y+\cot y|+C$

$\sec y=\dfrac{x-2}{\sqrt{17}}\iff y=\sec^{-1}\dfrac{x-2}{\sqrt{17}}$
$\implies\csc y=\dfrac{x-2}{\sqrt{(x-2)^2-17}}=\dfrac{x-2}{\sqrt{x^2-4x-13}}$
$\implies\cot y=\dfrac{\sqrt{17}}{\sqrt{(x-2)^2-17}}=\dfrac{\sqrt{17}}{\sqrt{x^2-4x-13}}$

$\displaystyle\int\frac{\mathrm dx}{x^2-4x-13}=-\dfrac1{\sqrt{17}}\ln\left|\frac{x-2+\sqrt{17}}{\sqrt{x^2-4x-13}}\right|+C$

6 0

4 years ago

Write 6.8 as a mixed number

yulyashka [42]

6 8/10
simplify (divide by 2 )
6 4/5

5 0

4 years ago

Frist one to do it gets brainist

hammer [34]

Answer:

mint chip n strawberry

Step-by-step explanation:

it's right trust me bff !

5 0

3 years ago

1. In Beverly Hills, two Hollywood actors own houses that are just 30 yards apart. On a map of stars' houses, these two houses a

Troyanec [42]

Answer:

1. 1 inch = 5 yards 2. 1 inch = 4 miles

Step-by-step explanation:

7 0

3 years ago