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3 years ago

Add. (3b + 5) + (2b + 4)

Mathematics

1 answer:

zaharov [31]3 years ago

4 0

Answer:

$\huge{ \fbox{ \sf{5b + 9}}}$

Step-by-step explanation:

$\star{ \text{( \: 3b + 5) + (2b + 4)}}$

$\text{Step \: 1 \: : \sf{Remove \: the \: unnecessary \: parentheses}}$

$\text{When \: there \: is \: a \: ( + ) \: in \: front \: of \: an \: expression \: in \: parentheses \:, there \: is \: no \: need \: to \: change \: the \: sign \: of \: each \: term \: in \: the \: expression.}$

$\text{That \: means, \: the \: expression \: remains \: the \: same. \: Just \: you \: have \: to \: remove \: the \: parentheses.}$

$\mapsto{ \sf{3b + 5 + 2b + 4}}$

$\text{Step \: 2 \: : Collect \: like \: terms.}$

$\text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}$

$\mapsto{ \sf{3b + 2b + 5 + 4}}$

$\mapsto{ \sf{5b + 5 + 4}}$

$\text{ Step \: 3 \: : \sf{Add \: the \: numbers : 5 \: and \: 4}}$

$\mapsto{ \boxed {\sf{ {5b + 9}}}}$

Hope I helped!

Best regards! :D

~ $\sf{TheAnimeGirl}$

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Find the probability of having 2, 3, or 4

denis-greek [22]

Answer:

16% for 2 successes, 6.4% for 3 successes, 2.6% for 4 successes, and 1% for 5 successes

Step-by-step explanation:

Since the success rate of a binomial experiment is 40%, converted to 0.4, you get the equation of f(x) = (0.4)^x, for where x is the amount of successful experiments

For the success of 2 experiments:

f(2) = (0.4)^2

=0.16 => 16%

For the success of 3 experiments:

f(3) = (0.4)^3

= 0.064 => 6.4%

For the success of 4 experiments:

f(4) = (0.4)^4

= 0.0256 => 2.56% => ~2.6

For the success of 5 experiments:

f(5) = (0.4)^5

= 0.01024 => 1.024% => ~1%

Your welcome and comment if you have any questions :)

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3 years ago

Express your answers in simplest form

Leto [7]

Answer:

14 servings

Step-by-step explanation:

$\frac{9\ 1/3}{2/3} \\=\frac{28/3}{2/3}\\=\frac{28}{3} / \frac{2}{3} \\=\frac{28}{3} * \frac{3}{2} [Reciprocal]\\=28/2\\=14\ servings$

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3 years ago

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How many cenimeters are 1 meter

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100 cm

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4 years ago

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What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for Pi.)

Natasha2012 [34]

The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.

Step-by-step explanation:

The given is,

Composite figure is combination of a half sphere and cone

Both have a radius of 4 centimeters

The cone has a height of 15 centimeters

Step:1

Volume of composite figure = Volume of half sphere + Volume of cone

Step:2

Formula for volume of semi sphere,

$Volume of half sphere, V_{Half sphere} = \frac{2}{3} \pi r^{3}$

Where, r - Radius of Half sphere,

From given, r = 4 centimeters

$V_{Half sphere} = \frac{2}{3} \pi 4^{3}$

$= (0.6667) (3.14) (64)$ (∵ $\pi$ = 3.14 )

$V_{Half sphere}$ = 133.9733 cubic centimeters

Formula for volume of cone,

$Volume of cone, V_{cone} = \frac{1}{3} \pi r^{2} h$

where, r - Radius of cone

h - Height of cone

From given,

r = 4 centimeters

h = 15 centimeters

Volume of cone,

$V_{cone} = \frac{1}{3} \pi 4^{2}(15)$

$= (0.333333) (3.14)(16)(15)$ (∵ $\pi$ = 3.14 )

$V_{cone}$ $= 251.1997$ cubic centimeters

Step:3

Volume of composite figure = 133.9733 + 251.1997

Volume of composite figure = 385.17 cubic centimeters

Result:

The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.

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