An interior angle and an adjacent exterior angle of a polygon form a linear pair.

How can you use this fact as another method to find the measure of each exterior

angle in Example 6?

Answer:

f(1) = 11

Step-by-step explanation:

Given

f(x) = [tex](11)^{x}[/tex]

To evaluate f(1) substitute x = 1 into f(x)

f(1) = [tex](11)^{1}[/tex] = 11

The simplified solution of the function at f(1) = 11.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
The given function is,
f(x) = 11ˣ

In order to determine the value of f(1), we have to simply put x = 1 in the function,
f(1) = 11¹

As we know if the degree of any value is 1 than the solution of the expression is always the same as it was,
So,
f(1) = 11

Thus, the simplified solution of the function at f(1) = 11.

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Answer:

50 Db

Step-by-step explanation:

we know that

The loudness in decibels is given by the formula

[tex]L = 10log(\frac{I}{I_0})[/tex]

where

I  = sound intensity in watts per square meter (Watts/m^2)

I₀ = reference intensity, = 10^(-12) Watts/m^2

so

For I=10^(-7) Watts/m^2

substitute in the formula above and solve for L

[tex]L = 10log(\frac{10^{-7} }{10^{-12}})[/tex]

[tex]L = 10log(10^{5})[/tex]

[tex]L = 10 (5)=50\ Db[/tex]

Answer:

D. 50 Db on ed

i took the test and i got it right

To find the total time to decorate both signs, calculate the area of each sign, determine the time needed for each sign, and add the times together.

To find the total time for decorating both signs:

Answer:

20 units

Step-by-step explanation:

Given that:

R T and G J intersect at point H.

As we know, when two chords intersect each other inside a circle, the products of their segments are equal.

So the product of RH and HT = 10*16 = 180 units

<=> the product of GH*HJ = 160 units

<=> HJ = 160 / GH

<=> HJ = 160/8 = 20 units

Answer:

b 20 on edge

Step-by-step explanation:

The chord and the diameter are perpendicular.

Suppose that chord AB is bisected by a diameter, which interserct the chord at point C.

Now, focus on triangles OAC and OBC. They have:

So, they are congruent. In particular, this means that angles ACO and BCO are equal. Since they sum up to 180, each of them must be 90°, so the diameter is perpendicular to the chord.

In a circle, if a diameter bisects a chord (that is not a diameter), then it must also be the perpendicular bisector of that chord.

A perpendicular bisector is defined as a line that divides an angle into two equal angles. Draw the given angle first, then cut it in half, and then draw the angle's bisector.

If a diameter bisects a chord in a circle, then it must also be the perpendicular bisector of that chord. This is because the diameter is the longest possible chord in the circle, and it passes through the center of the circle, which is the point of concurrency for all the perpendicular bisectors of chords in the circle.

Therefore, it must also be the perpendicular bisector of that chord when the diameter bisects a chord.

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Answer:

52

Step-by-step explanation:

You have to find the area of the all the sides which is L x H them add them.

Side(right) = 4 x 2 = 8

Side(left) = 4 x 2 = 8

Top = 4 x 3 = 12

Bottom = 4 x 3 = 12

Front = 3 x 2 = 6

Back = 3 x 2 = 6

= 52

Answer:

20%

Step-by-step explanation:

Let's break this down into simpler terms.

We know that:

There are 15 total cookies.

7 of them are chocolate chip.

Therefore, the ratio of chocolate chip cookies to total cookies is 7:15.

In other words, there is a 7 out of 15 chance that you will pick a chocolate chip cookie the first time. This percentage is 46.666666666667%.

Now, we have to figure out the percentage after you eat it. The new ratio of chocolate chip cookies to total cookies is 6:14.

In other words, there is a 6 out of 14 chance that you will pick a chocolate chip cookie the second time. This percentage is 42.857142857143%.

Now, we have to combine the two, as the second percentage only happens if the first percentage works (if that makes any sense).

Surprisingly, 42.857142857143% of 46.666666666667% rounds to exactly 0.2, which written as a percent is 20%.

Therefore, there is a 20% chance that you will choose a chocolate chip cookie, eat it, and then choose another chocolate chip cookie.

Answer:

Step-by-step explanation:

you will have diabetes

Answer:

x=11

Step-by-step explanation:

Since the triangles are similar, we can use ratios to solve

36                 6x-6

------------- = --------------

24                   3x+7

Using cross products

36(3x+7) = 24(6x-6)

108x +252 = 144x - 144

Subtract 108x from each side

108x-108x +252 = 144x-108x - 144

252 =36x -144

Add 144 to each side

252+144 = 36x-144+144

396 =36x

Divide by 36

396/36 =36x/36

11 =x

Answer:

x = 11

Step-by-step explanation:

Similar figures have sides in the same ratio

24/36 = (3x + 7)/(6x - 6)

2/3 = (3x + 7)/(6x - 6)

12x - 12 = 9x + 21

3x = 33

x = 11

Answer:

1)5 + 2.5 > 4

3)4 + 2.5 > 5

5)4 + 5 > 2.5

Step-by-step explanation:

I got this question in edge

The triangular inequality for these dimensions are:

For a triangle with sides A, B, and C, the triangular inequality says that:

In this case, we know that the pieces of wood measure:

5ft

2.5ft

4ft

The triangular inequality for these dimensions is:

So the 3 inequalities are true, meaning that we can make a triangle with these dimensions.

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Answer:

  y = x² -14x +46

Step-by-step explanation:

You want a standard form quadratic equation that has a vertex at (7, -3).

The vertex form of a quadratic equation is ...

  y = a(x -h)² +k . . . . . . . vertex at (h, k), scale factor 'a'

Using a scale factor of 1 and vertex (h, k) = (7, -3), this equation is ...

  y = (x -7)² -3

Simplifying this equation gives ...

  y = x² -14x +49 -3

  y = x² -14x +46 . . . . . . . standard form equation

Answer:

Step-by-step explanation:

1.  Use a calculator with distribution functions here.  We're interested in finding the area under the standard normal curve to the right of 590, given that the mean is 510 and the standard deviation is 80.  Note that 590 = 510 + 80, meaning that 590 is 1 standard deviation above the mean.

According to the Empirical Rule, 68% of data under a standard normal curve lies within 1 standard deviation of the mean.  The area from the extreme left of this curve to x = 510 is 0.500, and the additional area under the curve from 510 to 590 is 34% of the total area, or 0.340.

Thus, the desired area is 0.500 + 0.340 = 0.840.  This represents the desired probability.

2.  What percentile is a score of 750?  Find the number of standard deviations to the left of 750:

                  750 - 510

z-score = ------------------- = 24/8 = 3.00

                         80

The desired percentile is the area to the left of z = 3.00.  Using a calculator, we find this area to be 0.9987.  That 750 score is in the 99+ percentile.

Answer:

y>1/3x+3 and  3x-y>2

Answer:

I believe it is c

Step-by-step explanation:

Answer:0.385

Step-by-step explanation:(3.5*100)*11

(3.5*11)*100

38.5*100 = 0.385

Answer:

C = 145.4°

By creating a system of equations (2 equations) with the information from a problem, we can substitute and solve for the missing variables.

Step-by-step explanation:

Linear pairs are found on a straight line, so they total to 180°.

C + D = 180 ......eq'n [1]

C is seven more than four times D can be represented with this equation:

C = 4D + 7 ........eq'n [2]

We can solve by substituting [2] into [1], replacing "C".

C + D = 180

4D + 7 + D = 180

Collect like terms

5D + 7 = 180

Subtract 7 from both sides

5D = 173

Divide both sides by 5

D = 173/5

As a decimal, D = 34.6°.

Using eq'n [2], find C. Substitute the value of "D". Solve.

C = 4D + 7

C = 4(173/5) + 7

C = (692/5) + 7

C = (692/5) + (35/5)         Find a common denominator.

C = (692+35)/5                Combine into numerator.

C = 727/5

As a decimal, C = 145.4°.

Answer:

20.73

Step-by-step explanation:

2x10+7*1/10+3*1/100

20 + 0.7 + 0.03

20.73

Answer:

2x^10+73/100

Step-by-step explanation:

pls mark me brainliest

Answer: for the first one the answer is 18.2 cm sq

For the second one the answer is 40.9 cm sq

Step-by-step explanation: the step by step explanation is on the picture

Answer:

From 2012 to 2013 30% of people move for family based reasons so about 12492.6 give or take based on small variation

Step-by-step explanation:

divide 41,642 by 30%

Answer:

£33

Step-by-step explanation:

The share ratio is 3 :3:4

So the rational division is 3 + 3 + 4 = 10

Gordon and Malachy share is £77,

[tex] calculting \: total \: amt \: shared \\ \frac{3}{10} + \frac{4}{10} = 77 \\ \frac{3 + 4}{10} = 77 \\ \frac{7}{10} = 77 \\ total \: amt \: = \frac{77 \times 10}{7} = 110[/tex]

Carol's share =

[tex] \frac{3}{10} \times 110 = 33[/tex]

=£33

Final answer:

Gordon and Malachy's combined share corresponds to 7 parts of the ratio. One part is worth £11, and since Caroline's share is 3 parts of the ratio, she receives £33 in total.

Explanation:

The question involves dividing a sum of money according to a given ratio. Since Gordon and Malachy together receive £77, we need to first find out the ratio representing the sum of their parts and then calculate Caroline’s share.

Given the ratio of Gordon, Caroline, and Malachy’s share as 3:3:4, we can see that Gordon and Malachy’s ratio adds up to 3 + 4 = 7 parts. To find the value of one part, we divide the total amount they have (£77) by 7.

£77 divided by 7 parts equals £11 per part. Since Caroline’s share is 3 parts in the ratio, Caroline receives 3 parts times £11 per part, which equals £33. Therefore, Caroline gets £33.

Answer:

Hope it helps

Step-by-step explanation:

The mean absolute deviation for a high school diploma is more than the mean absolute deviation for no high school diploma.

It is the average distance between each data point and the mean.

The mean absolute deviation is given as

[tex]\rm MAD = \dfrac{\Sigma _{i = 1}^n|x_i - \mu|}{n}[/tex]

The table is given below.

No high school diploma             High school diploma

             10                                                   19

           9.50                                               15.25

           11.50                                                 14

             13                                                 15.75

The mean of No high school diploma will be given as,

μ₁ = (10 + 9.50 + 11.50 + 13) / 4

μ₁ = 11

Then the mean absolute deviation is calculated as,

(MAD)₁ = (|10 - 11| + |9.5 - 11| + |11.5 - 11| + |13 - 11|) / 4

(MAD)₁ = 1.25

The mean of high school diploma will be given as,

μ₂ = (19 + 15.25 + 14 + 15.75) / 4

μ₂ = 16

Then the mean absolute deviation is calculated as,

(MAD)₂ = (|19 - 16| + |15.25 - 16| + |14 - 16| + |15.75 - 16|) / 4

(MAD)₂ = 1.50

The mean absolute deviation for a high school diploma is more than the mean absolute deviation for no high school diploma.

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The complete question is given below.

Answer:next time provide the options and the girl that answer the question is incorrect

Step-by-step explanation:

Final answer:

The surface area of the cargo box, which is a rectangular prism with dimensions of 3 meters wide, 5 meters long, and 6 meters tall, is calculated using the formula SA = 2lw + 2lh + 2wh. The correct answer is D. 126 meters squared.

Explanation:

To find the surface area of a rectangular prism, you need to calculate the area of all six faces and sum them up.

The formula for the surface area (SA) of a rectangular prism is SA = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the prism.

In this case, the dimensions of the cargo box are 3 meters wide (w), 5 meters long (l), and 6 meters tall (h). Using the formula:

Therefore, the correct answer is D. 126 meters squared.

Answer:

39

Step-by-step explanation:

The angle marked 39 degrees and <2 are vertical angles and vertical angles are equal.  This means that <2 = 39 degrees

Answer:

39 is correct

To find angle 3 just get 90 - 39= your answer

Step-by-step explanation:

The rule is vertical angles are congruent and same.

Thanks

Answer:

720

Step-by-step explanation:

Since we are choosing a subset of 3 people from a set of 10 people, and arranging the 3 people according to relative strength, the answer can be obtained by computing P(10,3).

 P(10,3)=10! / (10-3)!

= 10!/7!

Rewrite  10 !  as  

10 * 9  * 8  * 7 !  / 7!

Cancel the common factor of  7 !  and divide ( 10  * 9 * 8 ) by  1

10  * 9  * 8 = 720

Final answer:

To find the number of different outcomes possible when selecting and ranking three candidates out of ten, we calculate the permutations without repetition, using the formula 10! / (10 - 3)!, which yields 720 different outcomes.

Explanation:

The question asks for the number of different outcomes possible when a search committee must choose and rank three candidates out of ten for a job. This is a permutation problem because the order in which the candidates are ranked matters.

To calculate the number of different outcomes, we use the formula for permutations without repetition, which is n! / (n - r)!, where 'n' is the total number of items to choose from (in this case, the number of candidates) and 'r' is the number of items to choose and arrange (in this case, the number of candidates to be ranked). So, the number of different outcomes for selecting and ranking three candidates from ten is calculated as follows:

10! / (10 - 3)! = 10! / 7! = 10 × 9 × 8 = 720

Thus, there are 720 different outcomes possible when the search committee chooses and ranks three candidates out of ten.

Answer:

48-36=12

-6s=12

12 divided by -6 equals -2

s=-2

S is -2

The closest answer choice is (c) -577-617, with a 30-word summary: The expression 2ū - 6v - 67, with ū = <-97, 8> and v = <77, 57>, simplifies to -723i - 393j, matching option (c).

To find 2ū - 6v in terms of unit vectors, we first need to compute 2ū and 6v, and then subtract 6v from 2ū.

Given vectors ū = <-97, 8> and v = <77, 57>, we can find 2ū and 6v as follows:

1. 2ū = 2<-97, 8> = <-194, 16>

2. 6v = 6<77, 57> = <462, 342>

Now, subtracting 6v from 2ū:

2ū - 6v = <-194, 16> - <462, 342> = <-194 - 462, 16 - 342> = <-656, -326>

Now, we need to express this result in terms of unit vectors. The unit vectors in the x and y directions are <1, 0> and <0, 1> respectively.

The final expression is then -656<1, 0> - 326<0, 1>, which simplifies to -656i - 326j, where i and j are the unit vectors in the x and y directions, respectively.

In summary, 2ū - 6v in terms of unit vectors is -656i - 326j.

Now, if we subtract 67 from each component, we get -656 - 67 in the x-direction and -326 - 67 in the y-direction:

-656 - 67 = -723

-326 - 67 = -393

So, the final result is -723i - 393j.

The closest answer choice is (c) -577-617, with a 30-word summary: The expression 2ū - 6v - 67, with ū = <-97, 8> and v = <77, 57>, simplifies to -723i - 393j, matching option (c).

2u - 6v in terms of unit vectors i and j is equal to -24i - 14j.

To find 2u - 6v in terms of unit vectors i and j using the given vectors ū = 9i + 8j and v = 7i + 5j, we perform the following calculations:

1. Multiply vector u by 2:

2u = 2(9i + 8j) = 18i + 16j

2. Multiply vector v by 6:

6v = 6(7i + 5j) = 42i + 30j

3. Subtract 6v from 2u:

2u - 6v = (18i + 16j) - (42i + 30j)

= 18i + 16j - 42i - 30j

= (18i - 42i) + (16j - 30j)

= -24i - 14j

Therefore, 2u - 6v in terms of unit vectors i and j is equal to -24i - 14j.

The probable question maybe:

Given vectors ū = 9i + 8j and v = 7i +5j. find 2u - 6v in terms of unit vectors i  and j.