Given: 44 - 2(3x + 4) = -18Prove: x = 9

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:

9,132

Step-by-step explanation:

9 in the thousands place

1 In the hundreds place

3 in the tens place

2 in the ones place

Answer:

IT IS 9932

Step-by-step explanation:

Just change the word to number

Thus, 715,000 =  7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

The number of times that decimal point must be moved to obtain a number between 1 and 10 is the exponent in scientific notation. The decimal point is shifted to the left in order to represent this number in scientific notation.

The main goal of scientific notation is to simplify computations using numbers that are abnormally large or small. With scientific notation, every digit counts because zeros are just no longer used to denote the decimal point.

Given expression:

715,000 __ 7.15 x 10⁵

LHS = 715,000

Take the RHS value :

= 7.15 x 10⁵

This, can be simplifies as:

= 7.15 x 100,000

Now multiply the two values,

= 715,000 (RHS values)

as, LHS  = RHS

LHS = 715,000

715,000 (RHS values)

Thus, 715,000 =  7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

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The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.

To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.

So, let's calculate the mean:

(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5

Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

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A plane consists of an infinite set of points.

A point's location on the coordinate plane is indicated by an ordered pair, (x, y).

Step-by-step explanation:

The undefined terms in geometry are points, lines and planes.

If rectangle has an area of 114cm squared and a perimeter of 50 cm, the dimensions of the rectangle are approximately 5 cm by 22.8 cm.

Let's assume the length of the rectangle is "l" and the width is "w". We can start by using the formula for the area of a rectangle, which is A = lw. From the given information, we know that the area is 114cm².

So, we have:

lw = 114

Next, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w. From the given information, we know that the perimeter is 50cm.

So, we have:

2l + 2w = 50

We now have two equations with two variables, which we can solve using substitution or elimination. Let's use substitution by solving the first equation for l:

l = 114/w

We can then substitute this expression for l in the second equation:

2(114/w) + 2w = 50

Multiplying both sides by w to eliminate the fraction, we get:

228 + 2w² = 50w

Rearranging and simplifying, we get a quadratic equation:

2w² - 50w + 228 = 0

We can solve for w using the quadratic formula:

w = [50 ± √(50² - 4(2)(228))]/(2(2)) ≈ 11.4 or 5

Since the length and width must be positive, we can discard the solution w = 11.4. Therefore, the width of the rectangle is approximately 5 cm. We can then use the equation lw = 114 to solve for the length:

l(5) = 114

l ≈ 22.8

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Answer:

5 beats per second

Step-by-step explanation:

statistic operation depends

Step-by-step explanation:

To find the average rate of change of the function f(x) over the interval [-2,4], we need to calculate the change in the function value divided by the change in the input variable over that interval:

Average rate of change = (f(4) - f(-2))/(4 - (-2))

First, we calculate f(4):

f(4) = √(4 - 2) = √2

Next, we calculate f(-2):

f(-2) = √(-2 - 2) = √(-4)

Since the square root of a negative number is not a real number, the function f(x) is not defined for x < 2. Therefore, the interval [-2,4] is not entirely within the domain of the function.

However, we can still find the average rate of change over the part of the interval that is within the domain of the function, which is [2,4]. Therefore, we need to modify the formula accordingly:

Average rate of change = (f(4) - f(2))/(4 - 2)

f(2) = √(2 - 2) = 0

Plugging in the values we get:

Average rate of change = (√2 - 0)/(4 - 2) ≈ 0.71

Therefore, the average rate of change of f(x) over the interval [-2,4] (within the domain of the function) to the nearest hundredth is 0.71.

Answer:

50%

Step-by-step explanation:

because 15 is half of 30

Answer:

55*5=275

Step-by-step explanation:

Answer:

275 miles

Since the car travels 55 miles per hour then you would multiply 55 times 5 to get the answer, which is 275.

Answer:

?

Step-by-step explanation

my 4th person to ask a question

Answer:

12%

Step-by-step explanation:

As per the given formula:

Interest rate is 12%

Answer:

129°

Step-by-step explanation:

51+51 =102

360-102=258

258÷2=129

:)

Answer:

2.4 SAUSAGES

Step-by-step explanation:

18 x 2 = 36

36/ 15 = 2.4

Answer:

So the answer is

Step-by-step explanation:

x)2943

Answer:The x values of the “and” inequality satisfy both inequalities.

The x values of the “or” inequality satisfy one or both inequalities.

Changing the compound inequality from “and” to “or” changes the solution set from the values between –3 and 3 for all real numbers.

Step-by-step explanation:

that's all u need

The number of gallons that they use every​ day will be 200 gallons.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

People use water to​ cook, clean, and drink every day. An estimated 34.6% of the water used each day is for drinking. If a family uses 69.2 gallons of water a day for drinking.

Then the total amount of water is given as,

⇒ 69.2 / 0.346

⇒ 200 gallons

The number of gallons that they use every​ day will be 200 gallons.

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Answer:

Lori reportedly paid her mother a third of the $39. Now let's see what 1/3 of $39 is.

$13 = 39/1 x 1/3 So she paid $13, but she still owes $23 of the original $39.

So, we need to figure out what 2/3 is, and here's how: 39 - 13 = $26. She owes her mother $26.

As a result, it now indicates that she paid 1/4 of the outstanding debt. Let's see what 1/4 of $26 equals.

6.50 = 26/1 x 1/4 She repaid $6.50 of the $26 she had borrowed. And she still owes 3/4 of what she owes. Let's find out what 3/4 means now. So, remove $6.50 from $26, as follows: 26 - 6.50= $19.50.

Step-by-step explanation: See above.

Hope this helps.

Answer:

7.08

Step-by-step explanation:

39 divide by 1/3 =117

117 divide by 1/4= 708

and u get 7.08

To find the highest common factor (HCF) of 56, 84, and 104, we can use the prime factorization method.

First, we can find the prime factors of each number:

56 = 2^3 x 7

84 = 2^2 x 3 x 7

104 = 2^3 x 13

Therefore, the HCF of 56, 84, and 104 is:

HCF(56, 84, 104) = 2^2 x 7 = 28

To simplify the following ratio 1.4.1:

1.4.1 = (1 x 4 x 1) / (1 x 4 x 1) = 4/4 = 1

To simplify the ratio 30:45

By dividing both numbers by their greatest common factor, which is 15:

30/15 : 45/15 = 2:3

To simplify the ratio 9:54:72

By dividing all the numbers by their greatest common factor, which is 9:

9/9 : 54/9 : 72/9 = 1:6:8

To increase 54 in the ratio 7:2

we need to find the value that corresponds to one unit in the ratio. We can do this by dividing 54 by the sum of the parts of the ratio:

7 + 2 = 9

54/9 = 6

Therefore, one unit in the ratio 7:2 corresponds to 6, and we can find the increased value of 54 by multiplying 6 by the part of the ratio that corresponds to 54, which is 2

54 x 2/7 = 108/7 = 15.43

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Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

The values of RS = 19.625 and ST is 8.375.

The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC.

Given:

RS= 7y-4, ST= y+5, and RT= 28

Suppose that S is between R and T, then:

RS + ST = RT

Putting the values

7y-4+y+5 = 28

7y+y-4+5 = 28

8y + 1 = 28

Subtract 1 from both sides

8y+1-1 = 28 - 1

8y = 27

y = 27/8

y = 3.375

So, length of RS = 7y - 4 = 23.625 - 4 = 19.625.

and, ST = y+5

ST = 3.375+5

ST = 8.375

Hence, the value of RS = 19.625 and ST is 8.375.

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Answer:

ABCD in statement and the other in reasoning

Step-by-step explanation:

The Area of Patio is 65.12 ft².

We have,

Bases of Trapezoid = 12 feet and 8 feet

Height of Trapezoid= 4 feet

So, the Area of Trapezoid

= 1/2 (Sum of base) x height

= 1/2 (12+8 ) x 4

= 1/2 x 20 x 4

= 10x 4

= 40 square feet

Now, Radius of semi circle = 8/2 = 4 feet

So, Area of semicircle

=  (1/2)πr²

= 1/2 (3.14)(16)

= 25.12 square feet

Thus, Area of patio

= 40 +  25.12

= 65.12 ft²

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El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.

Por otro lado, el número "cuarenta mil dos" se representa como 40,002.

Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.

Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.

Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.

En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.

Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.

Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.

En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.

Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).

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a) On a coordinate plane, points are at (1, 48.1), (2, 50.9), (3, 62.4), (4, 67), (5, 76.5), (6, 83.9), (7, 86.8), (8, 88.1), (9, 79.2), (10, 69.9), (11, 59.5), (12, 49.6)  best represents the data.

This is because the data represents a set of paired values, with the months as the independent variable (x) and the average maximum monthly temperature as the dependent variable (y). A scatter plot is the appropriate graph for displaying this type of data.

Option a shows the correct placement of the data points on a scatter plot, with the x-axis representing the months and the y-axis representing the average maximum monthly temperature. The points are clearly organized in a sequence from January to December, with an upward trend in temperature from the winter months to the summer months, followed by a gradual decrease in temperature in the fall and winter months.

Option b has the correct range of temperatures, but the points are not arranged in a logical sequence and are scattered randomly across the graph. Option c also has a similar issue with random placement of points and does not reflect the actual values in the data set. Option d only has three points and does not represent the complete data set.

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Explanation:

The first card isn't put back or replaced, so we have 52-1 = 51 cards left over.

We have 4 queens and 52-4 = 48 non queens.

The probability of picking something that isn't a queen on the second selection is 48/51 = 16/17

Answer:

The conclusion, since the null hypothesis was not rejected, is that the proportion of readers of the newsletter who own a Rolls Royce is significantly close to 0.6.

Step-by-step explanation:

A newsletter publisher believes that 60`% of their readers own a Rolls Royce.

This means that the null hypothesis is: \(H_{0}: p = 0.6\)

That is, that the proportion of their readers who own a Rolls Royce is of 0.6.

A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim.

The alternate hypothesis is: \(H_{a}: p \neq 0.6\)

After performing a test at the 0.020.02 level of significance, the testing firm fails to reject the null hypothesis. What is the conclusion regarding the publisher's claim?

The conclusion, since the null hypothesis was not rejected, is that the proportion of readers of the newsletter who own a Rolls Royce is significantly close to 0.6.

Answer:

The second option is your answer

Step-by-step explanation:

The functions are not aligned here.

They are not even ordered in a function.

Your answer is the second option.

Answer: The bottom right graph

Step-by-step explanation: The increase in Y values is not consistent so the non-linear ordered pairs are in the bottom right graph.

Hope this helps!

Answer:

55

Step-by-step explanation:

The constant of proportionality here would be 1 that is k = 1

The ratio that establishes a proportionate link between any two given values is referred to as the constant of proportionality. The constant of proportionality may also be referred to by the labels constant ratio, constant rate, unit rate, constant of variation, or even rate of change.

The constant of proportionality here would be 1 because :

weight of apples ∝ cost of apples

removing the proportionality sign and we get a constant

weight of apples = k ( cost of apples )

here k = 1

as the units in x axis increase simultaneously the y axis units are also increasing

this indicates that there is a direct proportional relation between the cost of apples and the weight of apples.

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