What is the answer too 14a + 12a2 - 3 + 2a

Answer:

182

Step-by-step explanation:

152

+31

---------

182

H₀: The mean reported number of good friends is the same across marital statuses. H₁: There is a difference in the mean reported number of good friends among marital statuses.

In the context of the ANOVA table reporting F = 0.80 for comparing the reported number of good friends among different marital statuses (married, widowed, divorced, separated, never married), the null and alternative hypotheses can be specified as follows:

Null Hypothesis (H₀): There is no significant difference in the mean reported number of good friends across the different marital statuses.

Alternative Hypothesis (H₁): There is a significant difference in the mean reported number of good friends across the different marital statuses.

The null hypothesis assumes that any observed differences in the mean reported number of good friends among the marital statuses are due to chance or random variation. On the other hand, the alternative hypothesis suggests that there is a meaningful difference in the mean reported number of good friends among the different marital statuses. The ANOVA F-test is used to evaluate whether the observed variation between groups is statistically significant

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Answer:

Step-by-step explanation:

8y^2 - 84y

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the line parallel to it

\((\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{0}-\underset{x_1}{4}}} \implies \cfrac{ -4 }{ -4 } \implies 1\)

so we're really looking for the equation of a line whose slope is 1 and it passes through (3 , 7)

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{7})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{ 1}(x-\stackrel{x_1}{3}) \\\\\\ y-7=x-3\implies {\Large \begin{array}{llll} y=x+4 \end{array}}\)

Step-by-step explanation:

h na jwhwwhwhwhwhwhwhwhwjjwjwjwjje i don't know thrle answer

Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

Answer:

Step-by-step explanation:

You want the slope, y-intercept, and equation of the line that goes through points (0, 3) and (1, 5).

The slope of the line is the ratio of "rise" to "run". Look at the point on the y-axis, (0, 3), and the one to its right, (1, 5). You see that the one on the right is 2 grid squares higher (rise = +2) and 1 grid square right (run = +1) of the point on the y-axis.

The slope of the line is ...

  m = rise/run = +2/+1

  m = 2

The y-intercept is where the line crosses the y-axis. The point at (0, 3) tells you the y-intercept is 3.

  b = 3

The equation of the line in slope-intercept form is ...

  y = mx +b

Using the above values for m and b, this is ...

  y = 2x +3 . . . . . . equation of the line

Answer:

Step-by-step explanation:

This is arithmetic since adding 4 to each term gets us to the next term in the sequence. That means that the common difference, d, is 4. The general arithmetic explicit formula is

\(a_n=a_1+d(n-1)\) and using the info given when a1 = 3 and d = 4:

\(a_n=3+4(n-1)\) or, if you want to make it easier to deal with:

\(a_n=4n-1\) (I just distributed through the parenthesis and then combined like terms. As you can see, arithmetic sequences are linear).

The term that best describes the analysis conducted by the researcher is trend analysis.

We have,

Trend analysis involves studying data over time to identify patterns or trends.

In this case,

The researcher recorded the lengths of fish caught in the lake over several years and observed that the average length has been decreasing by approximately 0.25 inches per year.

By recognizing this consistent decrease over time, the researcher has conducted a trend analysis to understand the long-term pattern in the data.

Thus,

The term that best describes the analysis conducted by the researcher is trend analysis.

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The longest side of the triangle is equal to 72.

The perimeter of a triangle is equal to the sum of the sides and is the total boundary of the shape. So because of ratios, the three sides become -

= 3x + 8x + 7x

The perimeter totals out to be -

= 3x + 8x + 7x = 162

= 18x = 162

= x = 162/ 18

= x = 9

Now, we have the sides -

= 3*9 = 18

= 8*9 = 72

= 7*9 = 63

From this, it is evident that the length of the longest side is 72.

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Answer:

0.6

1.8

​

=

x

0.6

​

6

18

​

=

10x

6

​

10x=

18

36

​

=2

x=

10

2

​

=0.2

Hence, the third proportion =0.2.

Step-by-step explanation:

Answer: $54

Step-by-step explanation:

50/100 times 108

= 1/2 times 108

= 108/2

= 54

therefore, 108% of $50 is $54

Answer: 54

Step-by-step explanation:  108% of $50

=50/100 X 108

=1/2 X 108

=54$

Answer:

espero y te sirva hay esta todo lo que necesitas

\(\stackrel{\textit{Half-Angle Identities}}{cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1+cos(\theta)}{2}}} \\\\[-0.35em] ~\dotfill\\\\ \sqrt{\cfrac{1+cos(45^o)}{2}}~~ = ~~cos\left( \cfrac{45^o}{2} \right)\implies \sqrt{\cfrac{1+cos(45^o)}{2}}~~ = ~~cos(22.5^o)\)

Step-by-step explanation:

here

-11r ≥ 220

-11r/-11 ≥ 220/-11 (dividing both side with -11 to eliminate -11 )

r ≥-20

A midpoint lies right in the middle so this splits the segment into two equal halves.

ST = TU

Let's plug the expressions from the picture into our equation.

8x + 11 = 12x - 1

Add 1 to both sides, and subtract 8x from both sides.

12 = 4x

Divide both sides by 4

3 = x

Answer:

5cm

Step-by-step explanation:

V = (B*H)

90 = (18 * H)

H = 90 / 18

Let that be x

ATQ

\(\\ \rm\Rrightarrow 3x-6/5=9\)

Arrange accordingly to work backwards(Every thing is reversed)

\(\\ \rm\Rrightarrow 9(5)+6/3=x\)

\(\\ \rm\Rrightarrow 45+6/3=x\)

\(\\ \rm\Rrightarrow 51/3=x\)

\(\\ \rm\Rrightarrow x=17\)

.

The area of the region bounded by the given curves. y = 6x2 ln(x), y = 24 ln(x) is 2.85 sq.units.

In this question we need to find the area of the region bounded by the given curves. y = 6x^2 ln(x), y = 24 ln(x)

Equating both the equations of the curve,

6x^2 ln(x) = 24 ln(x)

24 ln(x) - 6x^2 ln(x) = 0

x = 1, 2

This means,  the curves intersect at x = 1 and x = 2.

So, the required area would be,

A = ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx

First we find the indefinite integral ∫[24 ln(x) - 6x^2 ln(x)] dx

= -6  ∫[-4 ln(x) + x^2 ln(x)] dx

= -6 ∫ln(x) (x^2 - 4) dx

= -6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x

So,  ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx

= [-6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x] _(x = 1 to x = 2)

= 32 ln(2) - 58/3

= 22.18 - 19.33

= 2.85 sq.units.

Therefore, the area of the region is 2.85 sq.units.

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Answer:

Step-by-step explanation:

Equation: x+6=13

Solution x=7

I hope this helps!

Do well!

Answer:

it would be ac=ab over ea=da

Step-by-step explanation:

Answer:

consecutive multiple of 2 is 2,4,6

this sum is 2+4+6 is 12

The answer of the  6 to the power of 4 multiplied by 6 to the power of 3 over 6 to the power of 5 will be 6 to the power of 2 so option (b) will be correct.

The general mathematical operation of multiplying involves adding two or more numbers to get a new multiplied number.

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.

Given,

6 to the power of 4 = 6⁴

6 to the power of 3 = 6³

6 to the power of 5 = 6⁵

So,

6 to the power of 4 multiplied by 6 to the power of 3 over 6 to the power of 5

(6⁴ × 6³)/6⁵ = 6⁷/6⁵ = 6²

Hence it will be 6 to the power two.

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Answer:

Step-by-step explanation:

Answer:

83.33 or 83.3 feet per second

Step-by-step explanation:

250 feet/3 seconds = 83.33 ft per second

The maximum kinetic energy of the photoelectron ejected in this process is 2.41x10⁻¹⁹ J. (option d).

The energy of a photon is given by the equation E = hf, where h is Planck's constant (6.626x10⁻³⁴ J·s) and f is the frequency of the light. Therefore, the energy of a photon with a frequency of 8.7x10¹⁴ Hz is:

E = hf = (6.626x10⁻³⁴ J·s)(8.7x10¹⁴ Hz) = 5.77x10⁻¹⁹ J

Now, the work function of the metal is 2.8 eV. We need to convert this to joules to be able to use it in our calculations. 1 eV is equal to 1.602x10⁻¹⁹ J. Therefore, the work function in joules is:

Φ = 2.8 eV × (1.602x10⁻¹⁹ J/eV) = 4.49x10⁻¹⁹ J

The maximum kinetic energy of the ejected photoelectron can be found by subtracting the work function from the energy of the incident photon:

KEmax = E - Φ = 5.77x10⁻¹⁹ J - 4.49x10⁻¹⁹ J = 2.41x10⁻¹⁹ J

Hence the correct option is (d).

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Assuming W refer to sets of vectors in some vector space,

a. If scalars x, y, z exist, then b is in [a1, a2, a3]; otherwise, it is not. If a1, a2, and a3 are linearly independent then it contains three vectors.

b. Without knowing what W is, it is impossible to answer this question.

The number of vectors in W is not specified.

c.  Without knowing what W is, it is impossible to answer this question.

a. To check whether b is in [a1, a2, a3], we need to see if b can be written as a linear combination of a1, a2, and a3. That is, there exist scalars x, y, and z such that b = xa1 + ya2 + z*a3. If such scalars exist, then b is in [a1, a2, a3]; otherwise, it is not.

The number of vectors in [a1, a2, a3] depends on whether a1, a2, and a3 are linearly independent or not. If they are linearly independent, then the set [a1, a2, a3] contains exactly three vectors.

If they are linearly dependent, then [a1, a2, a3] is a smaller set that can be obtained by removing one or two vectors from the original set. In this case, the number of vectors in [a1, a2, a3] can be 1, 2, or 3, depending on which vectors are removed.

b. To check whether b is in W, we need to see if it satisfies the defining properties of W. Without knowing what W is, it is impossible to answer this question. Please provide the definition of W.

Assuming W is a subspace of the vector space, the number of vectors in W is not specified by the subspace itself. It can be any non-negative integer, including infinite, depending on the dimension of the subspace.

c. To show that a1 is in W, we need to show that it satisfies the defining properties of W. Without knowing what W is, it is impossible to answer this question. Please provide the definition of W.

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Answer: try 35

Step-by-step explanation:

Answer:

x = 150 degree

x = 210 degree

Step-by-step explanation:

cos(x) = -cos(30) = -√3/2

x = 150 degree

x = 210 degree

Answer:

θ = 150°, 210°

Step-by-step explanation:

Given:

\(\cos \theta=- \cos 30^{\circ}, \quad 0 < \theta < 360^{\circ}\)

We know from trigonometric values of special angles that :

\(\cos 30^{\circ}=\dfrac{\sqrt{3}}{2}\)

and that 30° is in Quadrant I.

Therefore:

\(-\cos 30^{\circ}=-\dfrac{\sqrt{3}}{2}\)

\(\begin{array} {|c|c|}\cline{1-2} \sf Quadrant & \sf Reference \: Angle\\\cline{1-2} \rm I & \theta\\\cline{1-2} \rm II & 180^{\circ}-\theta \\\cline{1-2} \rm III & \theta - 180^{\circ} \\\cline{1-2} \rm IV & 360^{\circ} - \theta \\\cline{1-2} \end{array}\)

Cosine is negative In Quadrants II and III.  Therefore, use the above table to find the reference angles of 30° that make the cosine of the angle negative:

\(\cos (180-30)^{\circ}=-\dfrac{\sqrt{3}}{2} \implies \cos 150^{\circ}=-\dfrac{\sqrt{3}}{2}\)

and:

\(\cos (30-180)^{\circ}=-\dfrac{\sqrt{3}}{2} \implies \cos (-150^{\circ})=-\dfrac{\sqrt{3}}{2}\)

Therefore, θ = 150° ± 360°n, -150° ± 360°n.

So the measure of θ in the given interval is 150° and 210°.