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3 years ago

Fill in the correct justification for each step in solving the equation below 3(12-9x)=-16x+58

Mathematics

1 answer:

BaLLatris [955]3 years ago

4 0

answer:

given

distributive property

subtraction property of equality

addition property of equality

division property of equality

hope this helps! :)❤ from peachimin

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X² + 8x' -2 Someone help me with this ???? Please

quester [9]

Roots: (-4 -3V2 ;0) (-4+3V2 ;0)
Range: y€[-18; +♾)
Minimums: (-4; -18)
Vertical intercept: (0; -2)

7 0

3 years ago

What is the geometric mean of 28 and 14?

topjm [15]

Answer:

gm =14sqrt(2)

or approximately 19.8

Step-by-step explanation:

to find the geometric mean, multiply the numbers together and then take the square root

gm = sqrt(28*14)

gm = sqrt(392)

gm = sqrt(196*2)

gm =14sqrt(2)

gm = 19.799

8 0

3 years ago

A second important result is that electrons will fill the lowest energy states available. This would seem to indicate that every

Assoli18 [71]

Answer:

Explanation:

1) Principal quantum number, n = 2

n is the principal quantum number and indicates the main energy level.

2) Second quantum number, ℓ

The second quantum number, ℓ, is named, Azimuthal quantum number.

The possible values of ℓ are from 0 to n - 1.

Hence, since n = 2, there are two possible values for ℓ: 0, and 1.

This gives you two shapes for the orbitals: 0 corresponds to "s" orbitals, and 1 corresponds to "p" orbitals.

3) Third quantum number, mℓ

The third quantum number, mℓ, is named magnetic quantum number.

The possible values for mℓ are from - ℓ to + ℓ.

Hence, the poosible values for mℓ when n = 2 are:

for ℓ = 0: mℓ = 0

for ℓ = 1, mℓ = -1, 0, or +1.

4) Fourth quantum number, ms.

This is the spin number and it can be either +1/2 or -1/2.

Therfore the full set of possible states (different quantum number for a given atom) for n = 2 is:

(2, 0, 0 +1/2)
(2, 0, 0, -1/2)
(2, 1, - 1, + 1/2)
(2, 1, -1, -1/2)
(2, 1, 0, +1/2)
(2, 1, 0, -1/2)
(2, 1, 1, +1/2)
(2, 1, 1, -1/2)

That is a total of 8 different possible states, which is the answer for the question.

8 0

3 years ago

A researcher tests five individuals who have seen paid political ads about a particular issue. These individuals take a multiple

devlian [24]

Answer:

$t=\frac{46-40}{\frac{5.148}{\sqrt{5}}}=2.606$

The degrees of freedom are given by:

$df=n-1=5-1=4$

The p value wuld be given by:

$p_v =2*P(t_{(4)}>2.606)=0.060$

For this case the p value is higher than the significance level so then we can conclude that the true mean is not significantly different from 40

The distribution with the critical values are in the figure attached

Step-by-step explanation:

Information given

48, 41, 40, 51, and 50

The sample mean and deviation can be calculated with these formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=46$ represent the mean height for the sample

$s=5.148$ represent the sample standard deviation

$n=5$ sample size

$\mu_o =40$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test

Hypothesis to test

We want to test if the true mean for this case is equal to 40, the system of hypothesis would be:

Null hypothesis: $\mu = 40$

Alternative hypothesis: $\mu \neq 40$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing we got:

$t=\frac{46-40}{\frac{5.148}{\sqrt{5}}}=2.606$

The degrees of freedom are given by:

$df=n-1=5-1=4$

The p value wuld be given by:

$p_v =2*P(t_{(4)}>2.606)=0.060$

For this case the p value is higher than the significance level so then we can conclude that the true mean is not significantly different from 40

The distribution with the critical values are in the figure attached

6 0

3 years ago

On a certain hot summer's day, 321 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for a

Paul [167]

Answer:

31 children and 290 adults

Step-by-step explanation:

Let a = number of adults and c = number of children.

a + c = 321

2a + 1.75c = 634.25

Multiply both sides of the the first equation by -2 and add it to the second equation.

-2a - 2c = -642

(+) 2a + 1.75c = 634.25

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

-0.25c = -7.75

Divide both sides by -0.25

c = 31

Use the first equation to find a.

a + c = 321

Substitute 31 for c.

a + 31 = 321

Subtract 31 from both sides.

a = 290

Answer: 31 children and 290 adults

5 0

3 years ago

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