The product of two consecutive odd integers is 63. If x is the smallest of the integers, write an equation in terms of x that describes the situation, and then find all such pairs of integers.

The equation that describes the situation is __________________
The positive set of integers is _________________
The negative set of integers is _________________

Multiplication of the given matrix is not possible by definition of matrix multiplication.

Since, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Expression for multiply,

⇒ [4, 0, -1, 2, -3, -1] x [0, 1, -3, 1]

Since, We can see that;

First matrix have order 1 x 6

And, Second matrix have order 1 x 4

We know that;

Matrix multiplication is possible when number of column in first matrix is same as number of rows in second matrix.

Hence, By given matrices we get;

Number of column in first matrix (6) ≠ number of rows in second matrix (1)

So, Multiplication of the given matrix is not possible by definition of matrix multiplication.

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Answer:

4 hours

Step-by-step explanation:

\(\frac{28}{21} :\frac{y}{3}\)

21 · y = 3 · 28

21y = 84

21y ÷ 21 = 84 ÷ 21

y = 4

Answer: As we know that the formula of outlier is

IQR = Q3 - Q1

= 52 - 32

= 20

52 + 1.5(20) = 82...

so anything above 82 is an outlier

now

32 - 1.5(20) = 2.

..anything below 2 is an outlier

so...the 83 is outlier

so correct option is D

hope it helps

Step-by-step explanation:

Answer:

difference between the integers is -10. The sum of the two integers is 4.Step-by-step explanation:

The cost from part B is 18x + 18 and the cost when x (width of the rectangular garden) is 6, 8, and 9 are $126, $162, and $180 respectively.

length of the rectangular garden = 2x + 3 ft

Width of the rectangular garden = x ft

According to your question the cost from part B is as follows:

The cost that will be written on the top row of the table will be

The cost of the fencing material for different widths, x given in feet can be calculated as follows:

when x = 6

The cost will be as follows:

when x = 8

The cost will be as follows:

when x = 9

The cost will be as follows:

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some of the darwens spiders have different traits for flexibility because they each got different different traits from each parent. like offspring A and C got their traits from their mother. offspring B got its traits from its father. and Offspring D got their traits from both mother and father.

I hope this helps

An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.

Given:

Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.

The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.

We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.

We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.

Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.

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Answer:

$15.00 per day and $0.22 per mile.

Step-by-step explanation:

To determine the daily fee and mileage fee charged by Best Rentals, we can set up a system of equations based on the given information.

Let's assume the daily fee is represented by "d" and the mileage fee is represented by "m."

For Mateo:

3d + 300m = 111.00

For Dara:

5d + 600m = 207.00

Now we can solve this system of equations to find the values of "d" and "m."

Multiplying the first equation by 2 to eliminate "m," we get:

6d + 600m = 222.00

Subtracting the second equation from this equation, we have:

(6d + 600m) - (5d + 600m) = 222.00 - 207.00

d = 15.00

Substituting the value of "d" into the first equation, we can solve for "m":

3(15.00) + 300m = 111.00

45.00 + 300m = 111.00

300m = 111.00 - 45.00

300m = 66.00

m = 0.22

Therefore, Best Rentals charges $15.00 per day and $0.22 per mile.

The number of months it would take to recover the cost of the machines is 12 months.

Total cost of the four machines = $5700 x 4 = $22,800

The total salaries of the machine operators in t months = 4t x $1,00 = $4,400t

Total cost = $22,800 +  $4,400t

($750 x 2t) + ($650 x 3t) + ($950 x 3t)

= $1500t + $1,950t +$2,850t

= $6300t

$22,800 +  $4,400t  =  $6300t

Combine similar terms

$22,800 = $6300t - $4400t

$22,800 = $1900t

Divide both sides by 1900

t = 12 months

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Answer:

\(j = 7 \pm \sqrt{44}\)

Step-by-step explanation:

First, move the constant term to the other side of the equation.

\(j\² + 14j + 5 = 0\)

\(j\² + 14j = -5\)

Next, add the coefficient of the first degree j term divided by 2, then squared to both sides.

\(j^2 + 14j + (14/2)^2 = -5 + (14/2)^2\)

\(j^2 + 14j + (7)^2 = -5 + (7)^2\)

\(j^2 + 14j + 49 = -5 + 49\)

\(j^2 + 14j + 49 = 44\)

Now, we can factor the left side as a square.

\((j+7)(j+7) = 44\)

\((j+7)^2 = 44\)

Finally, we can take the square root of both sides to solve for j.

\(\sqrt{(j+7)^2} = \sqrt{44\)

\(j+7=\pm\sqrt{44}\)

\(\boxed{j = 7 \pm \sqrt{44}}\)

Note that there are two solutions, as \(\sqrt{44\) could be positive OR negative because of the even root property:

if \(x^2 = a^2\),

then \(x = \pm a\)

because both \((+a)^2\) and \((-a)^2\) equal \(a^2\).

We know that z varies directly as √√x and inversely as y, which can be written as:

z = k(√√x)/y

where k is the constant of proportionality.

To find the value of k, we can use the values given when x = 25 and y = 7:

179 = k(√√25)/7

179 = k(5/7)

k = (179*7)/5

k = 250.6

Now we can use this value of k to find z when x = 64 and y = 4:

z = 250.6(√√64)/4

z = 250.6(2)/4

z = 125.3

Therefore, z ≈ 125.3 when x = 64 and y = 4.

Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

Answer:

y = 250x + 1000

Step-by-step explanation:

we know, it is a linear function.

so, y = ax + c

we have multiple data points all on the line.

(4,2000)

2000 = a×4 + c, => c = 2000 - a×4

(7,2750)

2750 = a×7 + c

=> 2750 = a×7 + 2000 - a×4 = a×3 + 2000

=> 750 = a×3

=> a = 250

=> c = 2000 - 250×4 = 2000-1000 = 1000

Answer:

A year.

Step-by-step explanation:

At that rate, it will take him 12 months to save up enough. Math: 387.12/32.26

The possible solutions for (10) are B = 66, C = 67 and c = 2.01

Triangle 9

Here, we have

A = 50, a=10, b = 15

The angle B can be calculated using the following laws of sines

sin(B)/b = sin(A)/a

So, we have

sin(B)/15 = sin(50)/10

sin(B) = 15 * sin(50)/10

So, we have

sin(B) = 1.1490

The sine of angles are always between 0 and 1

Hence, the triangle does not exist

Triangle 10

Here, we have

A=47, a=1.6, b=2

The angle B can be calculated using the following laws of sines

sin(B)/b = sin(A)/a

So, we have

sin(B)/2 = sin(47)/1.6

sin(B) = 2 * sin(47)/1.6

So, we have

sin(B) = 0.9142

B = 66

This means that

C = 180 - 66 - 47

C = 67

The length c is

c² = a² + b² - 2ab * cos(C)

So, we have

c² = 1.6² + 2² - 2 * 1.6 * 2 * cos(67 degrees)

c² = 4.06

Take the square roots

c = 2.01

See attachment for the triangles

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Answer:

D?

Step-by-step explanation:

I'm not completely sure, but there are 2 different 180 degree lines that y falls on. On one line (y+70=180) it is for sure 110 degrees

When measured on the other line it is (y+70+x=180) I'm not too familiar with this??

Step-by-step explanation: To fill in the table, we will need to first count the number of times each wait time appears in the given data. We can then use these counts to fill in the Frequency column of the table. We will also need to calculate the relative frequency of each wait time, which is the number of times it appears in the data divided by the total number of data points. We can then use these relative frequencies to fill in the Relative Frequency column of the table, expressed as a percentage.

Here is the completed table:

Wait Time (minutes) Frequency Relative Frequency (%)

5                                     5                 11.36

10                                 4                  9.09

15                                 7                  15.91

20                                6                   13.64

25                                7                   15.91

30                                 4                   9.09

35                                5                    11.36

40                                3                    6.82

45                                 2                    4.55

50                                 1                    2.27

60                                  2                    4.55

75                                  1                       2.27

Note that the total number of data points is 44, so each relative frequency is calculated as the corresponding frequency divided by 44.

I hope this helps! Let me know if you have any other questions.

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 center is  0.275

 \(SE = 0.063\)

b

 center is  0.275

 \(SE = 0.020\)

Step-by-step explanation:

considering question a

From the question we are told that

   The sample size is  n  =  50

 The proportion of  US adults are college graduates is  p = 0.275

Generally the center is equivalent to the proportion so the center is  0.275

Generally the standard error is  

      \(SE =  \sqrt{\frac{p *  (1- p)}{ n} }\)

=>   \(SE =  \sqrt{\frac{0.275 *  (1- 0.275)}{ 50} }\)

=>   \(SE = 0.063\)

considering question b

    The sample size is  n  =  500

      The proportion of  US adults are college graduates is  p = 0.275

     Generally the center is equivalent to the proportion so the center is  0.275

     Generally the standard error is  

      \(SE =  \sqrt{\frac{p *  (1- p)}{ n} }\)

=>   \(SE =  \sqrt{\frac{0.275 *  (1- 0.275)}{ 500} }\)

=>   \(SE = 0.020\)

In the sampling distribution, the center of the sampling distribution is 0.275 and the standard error is 0.063.

A sampling distribution simply means the probability distribution that is gotten from a larger number of samples that are drawn from a population.

In this case, the center of the sampling distribution is 0.275 and the standard error is 0.063. The standard error will be:

= [p × (1 - p)]/n

= [0.275 × (1 - 0.275)]/50

= 0.0039875

= ✓0.0039875

= 0.063

Also, when the sample is 500, the center of the sampling distribution is 0.275 and the standard error is 0.020.

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Answer:

cioè x ≥ 1; si avrà pertanto x > 0

Step-by-step explanation:

EXERCISE 2. Risolvere le seguenti disuguaglianze:

(1) | x−1 |< 3

(2) | x+1 |> 2

(3) | 2x+1 |< 1

(4) | x−1 |<| x+1 |

Caso: (a): | x−1 |< 3, risolvo

x−1 < 3

x ≥ 1

∪

−x+1 < 3

x < 1

, si avrà quindi

x < 4

x ≥ 1

cioè 1 ≤ x < 4 e

x > −2

x < 1

cioè −2 < x < 1. L’unione tra le due dà la soluzione −2 < x < 4

Caso: (b):

x+1 > 2

x ≥ −1

∪

−x−1 > 2

x < −1

, si avrà quindi

x > 1

x ≥ −1

cioè x > 1 e

x < −3

x < −1

cioè x < −3,

pertanto x < −3 ∪ x > 1

Caso: (c):

2x+1 < 1

x ≥ −1

2

∪

−2x−1 < 1

x < −

1

2

, si avrà quindi

x < 0

x ≥ −1

2

cioè −

1

2 ≤ x < 0 e

x > −1

x < −

1

2

cioè

−1 < x < −

1

2

. pertanto −1 < x < 0

Caso: (d): in questo caso,

−x+1 < −x−1

x < −1

∪

−x+1 < x+1

−1 ≤ x < 1

∪

x−1 < x+1

x ≥ 1

, si avrà quindi

0 < −2

x < 1

cioè non si hanno soluzioni e

x > 0

−1 ≤ x < 1

cioè 0 < x < 1 e

0 < 2

x ≥ 1

cioè x ≥ 1; si avrà pertanto x > 0

i) Yes, they do

ii) No, they do not

Here, we want to check if the given triangle lengths form a right triangle

If they form a right triangle, then Pythagoras' theorem will be obeyed

The theorem states that in a right triangle, the square of the hypotenuse (the longest side) equals the sum of the squares of the two other sides

Thus, if we sum the squares of the two lesser number, if they give the square of the larger number, then we have a right triangle

a)

These lengths form that of a right triangle

b)

We can conclude here that the side lengths do not form that of a right triangle

Answer:

0.66608

Step-by-step explanation:

Equipment = 3 fans

Mortality = 0.098

We are required to find probability that equipment gets to work for 5years

The question says forces of mortality is constant and also equal to 0.098

To calculate p(x>5)

We will do this by calculating exponentially

e^-0.098x5

= 0.612626394

Probability that at least 2 fans out of 3 are working

3(0.612626394)²+(1-0.612626394)+(0.612626394)³

= 1.1259333x0.3873736+0.2299255

= 0.6660823470

This is approximately

0.6608

this is the probability that the equipment will work for at least 5years

Answer:

the second one 253

Step-by-step explanation:

Answer:

it is 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

5-5=?

?=5-5

?=0

PLS RATE BRAINIEST!

Answer:

B) Statistic

Step-by-step explanation:

The mean age of U.S. first ladies when they married would be a Statistic. This is because the mean age would be a specifically targeted value of the population that is being analyzed. In this scenario, the population would be all of the First Ladies, while the Sample would be the data gathered from the population under certain parameters. Statistics can be a variety of different values that revolve around the samples gathered such as average age, average height, max number of blue-eyed First Ladies, etc.

Las cantidades de bolitas para cada una de las tres personas son las siguientes:

Amanda: 19 bolitas

Rodrigo: 15 bolitas

Patricio: 69 bolitas

En este problema tenemos a tres personas (Amanda, Rodrigo y Patricio) que se reparten 103 bolitas, en términos algebraicos, cada persona es representada por las siguientes ecuaciones:

Amanda

x = y + 4

Rodrigo

y

Patricio

z = 2 · (x + y) + 1

Total

x + y + z = 103

A continuación, determinamos la cantidad de bolitas asociada con Rodrigo:

x + y + 2 · (x + y) + 1 = 103

3 · x + 3 · y = 102

x + y = 34

y + 4 + y = 34

2 · y = 30

y = 15

Luego, determinamos las cantidades de bolitas de Amanda y Patricio:

x = 15 + 4

x = 19

z = 2 · (19 + 15) + 1

z = 2 · 34 + 1

z = 68 + 1

z = 69

El enunciado se encuentra escrito en español y el lenguaje de la respuesta es el mismo del enunciado.

The statement is written in Spanish and the language used in the answer is the same of the statement.

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The expression that is equivalent to the given expression -4x² + 2x − 5 (1+x) is -4x²  - 3x − 5

From the question, we have the following parameters that can be used in our computation:

-4x² + 2x − 5 (1+x)

Open the brackets

So, we have

-4x² + 2x − 5 (1+x) = -4x² + 2x − 5 - 5x

Collect the like tsrms

So, we have

-4x² + 2x − 5 (1+x) = -4x² + 2x  - 5x − 5

Evaluate the like terms

This gives

-4x² + 2x − 5 (1+x) = -4x²  - 3x − 5

Hence, the expression that is equivalent to the given expression is -4x²  - 3x − 5

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The given triangle is a Right angled triangle,

By applying trigonometry :

\( \boxed{\tan( \theta) = \frac{opposite \: \: side}{adjacent \: \: side} }\)

_____________________________

\(\mathrm{ ☠ \: TeeNForeveR \:☠ }\)

Answer:

x = 10

Step-by-step explanation:

50 = (6x - 10)      rewrite it

50 =  6x - 10

+ 10        + 10       add 10 to both sides

60 =  6x               you're left with 60 and 6x

60/6 = 6x/6         divide both sides by 6 to get x by itself

10 = x                    the answer is whatever you're left with after dividing

Answer:

-3.8 > -4.5

Step-by-step explanation:

Convert the fraction to decimal and then compare.

\(\sf -4\dfrac{1}{2}=\dfrac{-9}{2}\)

          = -4.5

Now compare (-3.8) & (-4.5)

-3.8 > -4.5

Answer:

Step-by-step explanation:

Its 4.51