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2 years ago

Solve the equation. 3y + 11 = -16

Mathematics

2 answers:

juin [17]2 years ago

7 0

Answer:

y = -9

Step-by-step explanation:

Algebra:

3y + 11 = -16

-11 -11

3y = -27

÷ 3 ÷ 3

y = -9

Lostsunrise [7]2 years ago

4 0

Answer:

y= -9

Step-by-step explanation:

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What property is 5+0=5

jok3333 [9.3K]

5+0=5 is the property of zero
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3 years ago

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What is 18 expressed as a percent?

Vladimir79 [104]

Here is your answer:

Your answer is 18%

Reason: That's because 18 has a invisible decimal point:

18.

Then you move to decimal and change it into a %

Which will make it 18%

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3 years ago

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HELP <3 Match the expressions with their solutions.

densk [106]

Answer:

1 ) sin 165°

2 ) cos 330°

3 ) Tan 157.5°

4 ) $sin^2 157.5$

Step-by-step explanation:

1 )

Given expression is $\sqrt{\frac{1-cos330}{2} }$

We know that $cos2x=1-2sinx^{2}$

$sinx^{2}=\frac{1-cos2x}{2}$

$(sinx/2)^2=\frac{1-cosx}{2}$

So the first expression is sin (330/2)° =sin 165°

2 )

GIven expression is $1-2sin^2165$

We know that $cos2x=1-2sinx^{2}$

So the result is cos 330°

3 )

Given expression is $\frac{1-cos 315}{sin315}$

We know that $cos2x=1-2sinx^{2}$

Also we know that sin2x = 2sinxcosx

So The numerator becomes $2sin^2x/2$ . and the denominator becomes as $2sinx/2cosx/2$

$\frac{2sin^2x/2}{2sinx/2cosx/2}=tanx/2$

So the result is Tan 157.5°

4 )

Given expression is $\frac{1-cos 315}{2}$

We know that $cos2x=1-2sinx^{2}$

$(sinx/2)^2=\frac{1-cosx}{2}$

So the result is $sin^2 157.5$

6 0

3 years ago

A town has a population of 17000 and grows at 2.5% every year. To the nearest year, how long will it be until the population wil

andre [41]

Answer:

6 years

Step-by-step explanation:

we know that

The equation of a exponential growth is equal to

$y=a(1+r)^x$

where

y ----> is the population

x ---> is the number of years since now

a ---> is the initial value or y-intercept

r ---> is the rate of change

we have

$a=17,000\ people$

$r=2.5\%=2.5/100=0.025$

substitute

$y=17,000(1+0.025)^x$

$y=17,000(1.025)^x$

For y=19,600

substitute in the exponential equation and solve for x

$19.600=17,000(1.025)^x$

$(19.600/17,000)=(1.025)^x$

apply log booth sides

$log(19.600/17,000)=log(1.025)^x$

$log(19.600/17,000)=xlog(1.025)$

$x=log(19.600/17,000)/log(1.025)=6\ years$

8 0

3 years ago

What requirements are necessary for a normal probability distribution to be a standard normal probability distribution? Choose

alexira [117]

Answer:

In order for a Normal Probability Distribution to be a Standard Normal Probability Distribution, the mean and standard deviation must have the values of µ = 0 and σ = 1.

Where µ refers to the Mean of the distribution and σ refers to the standard deviation.

µ is pronounced 'mu' and σ is pronounced sigma.

Cheers!

8 0

3 years ago