In an arithmetic sequence, u1 = 1.3 , u2 = 1.4 and uk = 31.2.
7a. Find the exact value of Sk

∑ Hey,  liammaguire1988 ⊃

Answer:

x = 7

z = 96

Step-by-step explanation:

Given:

Given the figure below, find the values of x and z.

108⁰

X

(12x+24)

Solve:

As we can see, the given figure is a vertical angle.

Vertical angle = angles that are opposite of each other when two lines cross. Which also means the two pairs of opposite angles are equal to each other.

Therefore the equation for this question is;

(12x + 24 ) = 108

12 x + 24 = 108

12x + 24 - 24 = 108-24     [Subtract 24 from both sides]

12x = 84                             [ Divide 156 by 12]

x = 7

Since, the sum of all the four angles formed by intersecting line is 360°.

We get,

(12x-24) + 108 + 2z = 360°  (Take 2z as opposite angles are equal)

2z = 360 - 108 + 24 - 12 × 7

2z = 360 - 108 + 24 -84

2z = 360 - 108 - 60

2z = 360 - 168

2z = 192

z = 96

Hence, we get the angles x = 7° and z = 96°.

xcookiex12

8/17/2022

Answer:

Me personally id say quadrant 4

Step-by-step explanation:

Based on the information provided, I think 4) D₂E² is most likely be the formula for the reaction between D+2 and E¹.

This is because D+2 has a charge of 2+ and E¹ has a charge of 1-. In order for the charges to balance out in the resulting compound, two D+2 ions would need to combine with one E¹ ion. This would result in a compound with the formula D₂E².

A formula is a rule that uses letters of the alphabet to portray amounts or quantities which can be changed. We use formula to solve problems in the field of Mathematics, Computer Science, Chemistry, etc.

Different problems have different formulas for solving them. For example, we have a formula for the area of a rectangle, formula to work out simple interest, etc.

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Answer:

how am i supposed to answer this? draw a line lol

Step-by-step explanation:

Answer:

B and E

Step-by-step explanation:

the graph (Justine) shows the line

y = 2x

the line for Velma is

y = 4x

now we need to remember that the slope (inclination) of a line is the factor of x (so, 2 and 4 in the two line equations).

a slope is expressed as y/x and indicates how many units y changes when x changes a certain amount of units (like 1).

as described (and also confirmed by the graph) the x units are minutes, and the y units are meters.

so, as per her slope, Velma moves 4 meters in 1 minute.

and Justine moves 2 meters in 1 meter.

so, Justine is half as fast as Velma.

and therefore, Justine moves a shorter distance than Velma each minute.

Answer:

Step-by-step explanation:

B and E

Answer: c: $65

Step-by-step explanation:

Metric tons of soil lost during its formation \(2.96*10^-7\)

Gully is 2 meter deep 4 meter wide and 50 meters long.

So we know if Gully length = l width =w height =h

then volume of gully is l*b*h.

by same way volume of gully is 50*4*2 = 200 \(m^3\)

Bulk density of this soil is 1.48 mg/m^3.

How many metric tons of soil lost during its formation?

1000kg = 1 metric ton.

density  = 1.48mg/m^3 = \(1.48*10^-6\) kg/m^3

means for 1 m^3 volume we lost \(1.48*10^-6\) kg of soil.

for 200m^3 volume we lost \(200*1.48*10^-6\) kg of soil.

\(296*10^-6\) kg of soil.

to convert kg into metric ton we have to divide 1000.

\(296*10^-6\)/1000 = \(296*10^-9\) = \(2.96*10^-7\)

So  Metric tons of soil lost during its formation \(2.96*10^-7\)

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Answer: To find the inverse of the function f(x), we need to switch the roles of x and y, so that x becomes the dependent variable and y becomes the independent variable. Then, we need to solve for x in terms of y.

Let y = √x - 5, then x = y^2 + 5.

To find f^-1(2), we need to substitute 2 for y in the equation x = y^2 + 5:

x = 2^2 + 5 = 9

So f^-1(2) = 9.

This means that the inverse of f(x) at 2 is 9. In other words, if f(x) = 2, then x = 9.

Step-by-step explanation:

If x and y be  i.i.d. unif(0, 1), then the covariance of x + y and x - y is zero.

Yes, x y are x y independent studysoup.

Here  x and y be i.i.d. unif(0, 1)

The i.i.d stands for independent and identically distributed

unif means that the uniformly distributed

Here x and y are i.i.d unif (0,1)

The covariance is defined as the relationship between the two random variables . Therefore, variance of one variable is equal to the change in another variable

Here we have to find the covariance of x + y and x - y

According to the properties of covariance

Cov(x+ y, x - y) = Cov (x, x) + Cov(y, x) - Cov(x, y) - Cov(y, y) = 0

Because Cov(x, x) = Cov (y, y)

Cov(y, x) = Cov(x, y)

Therefore, the covariance of x+y and x - y is 0.

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The expression is 18/a

An algebraic expression can be described as mathematical expressions consisting of variables, coefficients, terms, factors and constants.

They are also made up of arithmetic operations, such as;

A quotient can be defined as a quantity determined  by the division of two numbers.

From the information given, we have that;

the quotient of 18 and a number a

This is represented as;

18/a

Hence, the representation is 18/a

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Answer:

-9

It is -9 and I don't feel like working it out so here is he answer straight

Answer:

24 ways

Step-by-step explanation:

1) In Combinatorics when we arrange a number and the order matter, we call it arrange the possibilities. For this exercise let's not use formulas but reasoning.

2) For this case we need a two figure number. Since we have seven numbers.

Since there is no repetition, all the possibilities are:

\(7*6=42\)

3) But there is a restriction it's forbidden adjacent even and odd numbers: These numbers we don't want them:

13 15 17

24 26

31 35 37

42 46

51 53 57

62 66

71 73 75

18 non desirable results

The total arrangements minus the not possible combinations, will match the possible results:

\(42-18=24\)

3) Just for checking, we have here the allowed combinations:

12 14 16

21 23 25 27

32 34 36

41 43 45 47

52 54 56

61 63 65 67

72 74 76  

A total of 24 possible ways.

The 98% confidence interval estimating the difference in mean shoulder condition score one year after such interventions in the population of patients with persistent shoulder pain is given by:

(-2.5, 5.1).

For each sample, the mean and the standard error are given as follows:

Hence the mean and the standard error of the distribution of differences is given as follows:

The bounds of the confidence interval are given by the rule presented as follows:

\(\overline{x} \pm ts\)

The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 72 + 65 - 2 = 135 df, is t = 2.35.

Then the bounds of the interval are:

The missing information is given by the image shown at the end of the answer.

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The graph of the linear equation, x = 6, is shown in the image attached below.

The equation of a vertical line is given as x = b, where b is the x-intercept of the line. That is, b is the point on the x-axis where the line crosses.

Given the equation, x = 6, it means the line is a vertical line. Therefore, on the graph, the line would intercept the the x-axis at 6.

Thus, the graph of the linear equation, x = 6, is shown in the image attached below.

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Answer:

$1435.50 is your answer

Step-by-step explanation:

$2610 - 45% = 1435.50

Answer:

x+y=11

Step-by-step explanation:

take the square root of both sides.

(x-7) + (y+3) = 7

collect like terms

x+y = 7+7-3

Answer:

x² + y² - 14x + 6y + 9 = 0

Step-by-step explanation:

the equation of a circle in general form is

x² + y² + 2gx + 2fy + c = 0

given

(x - 7)² + (y + 3)² = 49 ← expand factors using FOIL

x² - 14x + 49 + y² + 6y + 9 = 49 , that is

x² + y² - 14x + 6y + 58 = 49 ( subtract 49 from both sides )

x² + y²- 14x + 6y + 9 = 0 ← in general form

Answer:

84/60

Step-by-step explanation:

1 hour is 60 minutes so 84 minutes /60 gives how much it is in hours

Answer:

THIS DESERVES A BRAINLIEST BECAUSE I PUT ALL OF THE ANSWERS AND THE WORK TO IT

1: 6

2: 3

3: 5

4: 1

5: 3

6: -1

7: 8

8: 4

9: 3

10: 16

Step-by-step explanation:

Use PEMDAS

1. (2x2)+2

You do 2x2 first which is 4 so then you do 4+2 which is 6

2. 6 divided by (5-3)

You do 5-3 first which is 2 then 6/2 (that's 6 divided by 2) which is 3

3. 6/6 x5

so you do 6 divided by 6 which is 1 then you get 1x5 which is 5.

4. 2-(5-4)

5-4 is 1 and 2-1 is 1

5. 2+6/6

6 divided by 6 is 1 and 2+1 is 3

6. (-6)+5 is -1

7.  1-(-7) is the same as 1+7 which is 8

8. (-3)-7 is the same as -3+7 which is the same as 7-3 which is 4

9. 5+(-2) is the same as 5-2 which is 3

10. 8-(-8) is the same as 8+8 which is 16

Answer:

It would result in a constant line of \(y=3\).

Step-by-step explanation:

\(f(x)=2x+1\)

\(f(1)=2(1)+1\)

\(f(1)=2+1\)

\(f(1)=3\)

\(y=3\)

See the graph for a visual.

The given statement defines a function F(x) that associates a unique ordinal number α to each initial segment of a well-ordered set W. The function F(x) assigns the ordinal α to the initial segment of W determined by x if and only if α is isomorphic (structurally equivalent) to that initial segment.

To prove the uniqueness of the ordinal number associated with each initial segment, we rely on Lemma 2.7 (presumably mentioned earlier). This lemma likely establishes some properties of isomorphic well-ordered sets, such as uniqueness of isomorphisms or a specific correspondence between ordinals and well-ordered sets.

Using the Replacement Axioms, we can show that the set F(W) exists, as it is obtained by applying the function F to each element of W and collecting the results as a set.

For each initial segment of W, there exists an ordinal α that is isomorphic to that segment; otherwise, we can consider the least element r for which no such ordinal exists. By definition, F(r) does not have a well-defined value, contradicting the construction of F.

Finally, if y is the least element in the set F(W), then F(W) = y, and we have established an isomorphism between W and the ordinal y.

In summary, the proof demonstrates that for any well-ordered set W, there exists a unique ordinal number (denoted by F(W)) that is isomorphic to W, confirming the statement that every well-ordered set is isomorphic to a unique ordinal number.

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Answer:

16-3y

Step-by-step explanation:

9+7= 16

16-3y. first u do the ones that the same and don't have a letter after them. then you do the letter which in this case u just put the minus sign befor and it cokes out to 16-3y.

The function that is decreasing on the same interval as the given function f(x) is h(x) = 2x^2 + 8x + 3.

To determine if a function is increasing or decreasing, we look at the sign of its derivative. If the derivative is positive, the function is increasing, and if the derivative is negative, the function is decreasing.

Taking the derivative of h(x) with respect to x, we get h'(x) = 4x + 8. To find the interval on which h(x) is decreasing, we need to find the values of x for which h'(x) < 0.

Setting h'(x) < 0, we have 4x + 8 < 0. Solving this inequality, we find x < -2.

Therefore, h(x) is decreasing for x < -2. Since the interval where h(x) is decreasing matches the interval for the given function f(x), we can conclude that h(x) = 2x^2 + 8x + 3 is the function that is decreasing on the same interval as f(x).

Overall, the function h(x) = 2x^2 + 8x + 3 is decreasing on the interval x < -2, which aligns with the interval of the given function f(x).

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Given that,

Since, the opposite angles are equal,

From these two equations,

Since, the opposite angles are equal,

From, tese two equations,

Hence, Proved.

The temperature at 8:00 A.M. was 15°C.

Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.

We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C

3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.

Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C

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ANSWER

E[X] = 1.76

EXPLANATION

The expected value of a discrete data set is the sum of the products of each value by its probability. We have in this case:

• P(0) = 0.24

• P(1) = 0.24

• P(2) = 0.19

• P(3) = 0.18

• P(4) = 0.15

The expected value in this problem is:

Answer:

An equation of the circle with centre (-2,1) and radius 3 is \(\mathbf{(x+2)^2+(x-1)^2=9}\)

Option D is correct.

Step-by-step explanation:

Looking at the figure we get centre of circle C (-2,1) and radius of circle r = 3

The equation of circle is of form: \((x-h)^2+(x-k)^2=r^2\) where (h,k) is centre and r is radius.

We have centre C (-2,1) so, we have h = -2 and k = 1

We have radius = 3 so, r = 3

Putting values in the equation and finding the required equation:

\((x-h)^2+(x-k)^2=r^2\\(x-(-2))^2+(x-1)^2=(3)^2\\(x+2)^2+(x-1)^2=9\)

So,  an equation of the circle with centre (-2,1) and radius 3 is \(\mathbf{(x+2)^2+(x-1)^2=9}\)

Option D is correct.

gof means that we must first evalute f at x and next evalute the result in g.

In our case,

By taking into account that f(x)=3x-1 and g(x)=4x^2+9, we have

In summary,

Now, we must substitute x=-2 in this lat equation, It yields

hence, we obtain,

Hence, the answer is 205

Using the unit circle to find sin 240 and cos 240, without using a calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

To find sin 240 and cos 240 without a calculator, we can use the unit circle, which is a circle with radius 1 centered at the origin in a two-dimensional coordinate system. The unit circle provides a convenient way to define the sine and cosine of an angle in terms of their coordinates on the circle.

The sine of an angle is the y-coordinate of the point on the unit circle corresponding to that angle, and the cosine of an angle is the x-coordinate of the point on the unit circle corresponding to that angle.

For an angle of 240 degrees, we can find the corresponding point on the unit circle by constructing a line from the origin to the point on the circle.

we can see that the y-coordinate of the point is negative, so sin 240 = -sin (240 - 180) = -sin 60 = -1/2.

The x-coordinate of the point is also negative, so cos 240 = -cos (240 - 180) = -cos 60 = -√3/2.

We can use a calculator to check our answers by entering sin(240) and cos(240) with parentheses around the 240, as requested by the calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

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