What are the domain and range of f(x) = |x + 6|?

Answer:

Step-by-step explanation:

Let's fill that in with what the variables are "worth":

(3)(-3)+2(-2) and simplify to

-9 + (-4) which, when you add those 2 negatives, gives you

-13, choice B.

Answer:

[tex]x = 3 \\ y = - 3 \\ z = - 2 \\ xy + 2z = 3 \times - 3 + 2 \times - 2 \\ = - 9 - 4 \\ = - 13 \\ thank \: you[/tex]

Answer:

you will add the numerator and the denominator and or you look for lowest common factor

Answer:

236m^2

Step-by-step explanation:

8x5=40x2=80

6x5=30x2=60

6x8=48x2=96

80+60+96=236

Answer:

-8, 5 , 0 , -7 , 16

Step-by-step explanation:

Given

[tex]t_n = (-1)^{n+1}(n^2 - 9)[/tex]

Required

The first five terms

When [tex]n = 1[/tex]

[tex]t_1 = (-1)^{1+1}(1^2 - 9)[/tex]

[tex]t_1 = (-1)^{2}(1 - 9)[/tex]

[tex]t_1 = -8[/tex]

When [tex]n =2[/tex]

[tex]t_2 = (-1)^{2+1}(2^2 - 9)[/tex]

[tex]t_2 = (-1)^3 * (4 - 9)[/tex]

[tex]t_2 = 5[/tex]

[tex]t_3 = (-1)^{3+1}(3^2 - 9)[/tex]

[tex]t_3 = (-1)^{4}(9 - 9)[/tex]

[tex]t_3 = 0[/tex]

[tex]t_4 = (-1)^{4+1}(4^2 - 9)[/tex]

[tex]t_4 = (-1)^5(16 - 9)[/tex]

[tex]t_4 = -7[/tex]

[tex]t_5 = (-1)^{5+1}(5^2 - 9)[/tex]

[tex]t_5 = (-1)^{6}(25 - 9)[/tex]

[tex]t_5 = 16[/tex]

So, the first five terms are: -8, 5 , 0 , -7 , 16

Answer:

0.0022 = 0.22% probability that he randomly plants the trees so that all 6 redwoods are next to each other and all 6 pine trees are next to each other.

Step-by-step explanation:

The trees are arranged, so the arrangements formula is used to solve this question. Also, a probability is the number of desired outcomes divided by the number of total outcomes.

Arrangements formula:

The number of possible arrangements of n elements is given by:

[tex]A_n = n![/tex]

Desired outcomes:

Two cases:

6 redwoods(6! ways) then the 6 pine trees(6! ways)

6 pine trees(6! ways) then the 6 redwoods(6! ways)

So

[tex]D = 2*6!*6![/tex]

Total outcomes:

12 trees, so:

[tex]D = 12![/tex]

What is the probability that he randomly plants the trees so that all 6 redwoods are next to each other and all 6 pine trees are next to each other?

[tex]p = \frac{D}{T} = \frac{2*6!*6!}{12!} = 0.0022[/tex]

0.0022 = 0.22% probability that he randomly plants the trees so that all 6 redwoods are next to each other and all 6 pine trees are next to each other.

Answer:

0.01

Step-by-step explanation:

6/7% = 6÷7÷100 = 0.0085714286 round to the nearest hundredth = 0.01

9514 1404 393

Answer:

  108.8 km/h at 84.3°

Step-by-step explanation:

The law of cosines can be used to find the resultant ground speed. In the attached diagram, the length of interest is OR. It will be found as ...

  OR² = OP² +PR² -2·OP·PR·cos(P)

  OR² = 130² +26² -2×130×26×cos(32°) ≈ 11843.19

  OR = √11843.19 ≈ 108.8

__

The angle POR can be found from the law of sines.

  sin(POR)/PR = sin(OPR)/OR

  sin(POR) = PR/OR×sin(32°) ≈ 0.12660

  ∠POR ≈ arcsin(0.12660) ≈ 7.27°

Then the bearing of the ground track of the airplane is 77° +7.27° = 84.27°.

The airplane is traveling at about 108.8 km/h on a bearing of 84.3°.

Answer:

6

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The Law of Cosines can be used to find the distance from the red boat to the lighthouse.

  b² = l² +r² -2lr·cos(B)

  b² = 18² +30² +2·18·30·cos(120°) = 1764

  b = √1764 = 42

The distance from the red boat to the lighthouse is 42 miles.

__

The angle at the lighthouse can be found using the law of sines.

  sin(L)/l = sin(B)/b

  L = arcsin(l/b·sin(B)) = arcsin(18/42·sin(120°)) ≈ 21.79°

The angle between the boats measured at the lighthouse is about 22°.

Answer:

what is the question man

Answer:

15 more were sold on friday then thursday

Step-by-step explanation:

Answer:

See the expressions and the answers below

Step-by-step explanation:

Given data

The first expression is given as

x^2+169 .-> we can not factorize the expression anymore

The second expression

5x^2-50x+125

5(x^2-10x+25)

The third expression

100x^2-25y2

25(4x^2-y^2)

Cost of 14 songs = $9.38

So, cost of 1 song

= $9.38/14

= $0.67

So, each sing costs $0.67.

[tex]\\ \sf\longmapsto \frac{x}{6} - \frac{y}{3} = 1 \\ \\ \sf\longmapsto \frac{x - 2y}{6} = 1 \\ \\ \sf\longmapsto x - 2y = 6 \\ \\ \sf\longmapsto x = 6 + 2y[/tex]

The polyhedron has 7 faces.

To find the faces of the figure.

A polyhedron is a 3D shape that has flat faces, straight edges, and sharp vertices (corners). The regular polyhedron are the tetrahedron, cube, octahedron, icosahedron, and dodecahedron. when many flat surfaces are joined together they form a polyhedron.

Given that:

The given figure,

By the use of  Euler's formula to find the faces.

F + V - E = 2

Where F = Faces, V = Vertices and E = Edges

Given, V = 10 and E = 15

F + 10 - 15 = 2

F - 5 = 2

F = 5 + 2 = 7

Therefore, the polyhedron has 7 faces.

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Answer:

1 - 0.9887 = 0.0113

Step-by-step explanation:

Answer:

A the input x=3 goes to two different output values

Step-by-step explanation:

This is not a function

x = 3 goes to two different y values

x = 3 goes to t = 10 and y = 5

Answer:

31) 4d + 28            33) 10 + 5

Step-by-step explanation:

31) 4 ( d + 7) = 4 x 7 = 28 = 4d + 28

33) 5 ( 2m + 1 ) = 5. 2m + 5 . 1: 10m + 5

Answer:

plug n and r into the equation for the answers.

Step-by-step explanation:

Answer:

hshdhdhdshejiwiwiwiwiwi

Answer:

Should be (B)

01-1020

ED2021

The correct label for the population is 1 - 1020,

Option A is the correct answer.

It is the way of choosing a number of required items from a number of population given.

Each items has an equal probability of being chosen.

We have,

The population in this case refers to the entire group of interest, which is the entire student body of the school.

The total number of students is 1,020.

The population is usually labeled with a range or interval that includes all the possible values of the variable of interest.

In this case, the variable of interest is whether or not a student has an opinion on parking.

The correct label for the population is 1-1020, as this range includes all possible student identification numbers at the school.

The other options (01-1020, 001-1020, and 0001-1020) are not correct because they suggest that there are leading zeros in the student identification numbers, which is not usually the case.

Thus,

The correct label for the population is 1-1020,

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Answer:

Step-by-step explanation:

Each gallon of 7% milk contains 0.07 gallon of butterfat.

Each gallon of 4% milk contains 0.04 gallon of butterfat.

291 gallons of 6% milk contain 291×0.06 = 17.46 gallons of butterfat.

Let x be the number of gallons of 7% milk used. 291-x is the number of gallons of 4% milk used.

0.07x + 0.04(291-x) = 17.46

0.03x + 11.64 = 17.46

x = 200

Use 200 gallons of 7% and 91 gallons of 4%.

============================================================

Explanation:

For any cyclic quadrilateral (aka inscribed quadrilateral), the opposite angles are always supplementary.

One pair of such angles is A and C

A+C = 180

x+y = 180 is one equation to form

The other pair of supplementary angles is B and D

B+D = 180

y-45+2x+15 = 180

2x+y-30 = 180

2x+y = 180+30

2x+y = 210 is the other equation to form

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

So the system of equations we have is

[tex]\begin{cases}x+y = 180\\2x+y = 210\end{cases}[/tex]

Both equations involve 'y', with the same coefficient, so we can subtract straight down to eliminate this variable.

We end up with -x = -30 which solves to x = 30

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

Once we know x, we can determine y by plugging it into any equation involving x,y and solving for y

Let's say we picked on the first equation

x+y = 180

30+y = 180

y = 180-30

y = 150

Or we could pick on the second equation

2x+y = 210

2(30) + y = 210

60+y = 210

y = 210-60

y = 150

Only one equation is needed. However, doing both like this shows that we get the same y value, and it helps confirm the answers.

Answer:

f(7)=109

Step-by-step explanation:

Since f(a)=7 then you just imput 7 on each x like this f(7)=8+13(7)+10= 109

Answer:

a) The p-value of the test is 0.0078 < 0.1, which means that there is sufficient evidence at the 0.1 level that the bags are underfilled.

b) 0.0078.

Step-by-step explanation:

Question a:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 421 gram setting.

At the null hypothesis, it is tested if the mean is of 421, that is:

[tex]H_0: \mu = 421[/tex]

It is believed that the machine is underfilling the bags.

At the alternative hypothesis, it is tested if the mean is of less than 421, that is:

[tex]H_a: \mu < 421[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

421 is tested at the null hypothesis:

This means that [tex]\mu = 421[/tex]

A 43 bag sample had a mean of 414 grams. Assume the population standard deviation is known to be 19.

This means that [tex]n = 43, X = 414, \sigma = 19[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{414 - 421}{\frac{19}{\sqrt{43}}}[/tex]

[tex]z = -2.42[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean below 414, which is the p-value of z = -2.42.

Looking at the z-table, z = -2.42 has a p-value of 0.0078.

The p-value of the test is 0.0078 < 0.1, which means that there is sufficient evidence at the 0.1 level that the bags are underfilled.

b. Find the P-value of the test statistic.

As found above, the p-value of the test statistic is 0.0078.

Answer:

H0 : correlation is equal to 0

H1 : correlation is not equal to 0 ;

Pvalue < α ;

There is sufficient evidence

r = 0.945 ;

Pvalue = 0.01524

Step-by-step explanation:

Given the data :

Lemon_Imports_(x) Crash_Fatality_Rate_(y)

230 15.8

264 15.6

359 15.5

482 15.3

531 14.9

Using technology :

The regression equation obtained is :

y = 16.3363-0.002455X

Where, slope = - 0.002455 ; Intercept = 16.3363

The Correlation Coefficient, r = 0.945

H0 : correlation is equal to 0

H1 : correlation is not equal to 0 ;

The test statistic, T:

T = r / √(1 - r²) / (n - 2)

n = 5 ;

T = 0.945 / √(1 - 0.945²) / (5 - 2)

T = 0.945 / 0.1888341

T = 5.00439

The Pvalue = 0.01524

Since Pvalue < α ; Reject the Null and conclude that there is sufficient evidence to support the claim.

The expression equivalent to x(y)^(2/9) is option D.  x [tex]\sqrt[9]{y^{2} }[/tex].

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The given expression is x(y)^(2/9).

We have to find the equivalent expressions of this.

We can write the exponent 2/9 as 2 × 1/9.

So, x(y)^(2/9) = x(y)^(2 × 1/9)

We have the power of a power rule,

(xᵃ)ᵇ = xᵃᵇ

Using this rule,

(y)^(2 × 1/9) = (y²)^(1/9)

So, x(y)^(2/9) = x (y²)^(1/9)

Also, we have,

[tex]\sqrt[n]{x}[/tex] = [tex](x)^{\frac{1}{n}}[/tex]

So, (y²)^(1/9) = [tex]\sqrt[9]{y^{2} }[/tex]

x(y)^(2/9) = x [tex]\sqrt[9]{y^{2} }[/tex]

Hence the equivalent expression is  x [tex]\sqrt[9]{y^{2} }[/tex].

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Your question is incomplete. The complete question is as follows.

Answer:

r = -23

Step-by-step explanation:

slope = (y1-y2)/(x1-x2)

(r--7)/(-2-4) = 8/3

(r+7)/-6 = 8/3

3(r+7)=8 x -6

3r + 21 = -48

3r = -69

r = -23