Lee's cell phone plan includes calls and texts. He pays $40 for unlimited calling. He also pays $0.10 for every text message sent. Which of the tables shown here correctly describes the relationship between the number of text messages Lee sends in a month, x, and the cost in dollars, y, of his monthly bill? Select all that apply.

Answer:

54 I think

Step-by-step explanation:

you multiply the width times the length and that’s the area

hope this helps!

Answer:

(f-g)(x)=-x^(2)+2x+8

the solutions are:

x=4 or x=-2

Step-by-step explanation:

(f-g)(x)=2x+1-(x^(2)-7)

(f-g)(x)=-x^(2)+2x+1+7

(f-g)(x)=-x^(2)+2x+8

does this help or should I solve for the zeros/solutions of this quadratic equation?

then:

-x^(2)+2x+8=0

-(x^(2)-2x-8)=0

x^(2)-2x-8=0

(x-4)(x+2)=0

x=4 or x=-2

Answer:

The required answer is: -x^2+2x+8

Step-by-step explanation:

We have been given the two function:

f(x)=2x+1

And g(x)=x^2-7

We have to find (f-g)(x):

(f-g)(x)=f(x)-g(x)

(2x+1)-(x^2-7)

2x+1-x^2+7

-x^2+2x+8

Hence, the required answer is: -x^2+2x+8

The required payment for the SUV after the discount was applied is 136,000. Option C is correct.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
All SUVs are marked down by 15%.
Cost of G wagon = 160, 000
Cost after discount = 160000 - 15% of 160,000
                             = 136000

Thus, the required payment for the SUV after the discount was applied is 136,000. Option C is correct.

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The amount after discount is $136000.

Given is that Mercedes is running a special in which all SUVs are marked down for 15%. Mr. Estes purchased a G wagon for 160,000.

The amount after the discount was applied is -

D = 15% of 160000

D = (15/100) x 16000

D = 15 x 160

D = 2400

A = 160000 - 2400 =

A = 136000

Therefore, the amount after discount is $136000.

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Answer:

3/8 = 9/24 ; 1/3 = 8/24 ; 3/8 > 1/3

Step-by-step explanation:

You have to multiply 8 and 3 to obtein the same number as denominatoe (24).

Once you have the same number you can use < = >

The closest match to the calculated percentile ranking of 62.5% is option D) 62. Therefore, the correct answer for the percentile ranking of the data point 130 is D) 62.

The given dataset is: 124, 136, 128, 122, 130, 132, 122, 120, 127, 124, 128, 138, 120, 124, 126, 121. We are interested in finding the percentile ranking for the data point 130.

To determine the percentile ranking, we need to count the number of data points that are less than or equal to 130. In this case, there are 10 data points that meet this criterion: 124, 128, 122, 130, 122, 120, 127, 124, 128, 124.

The percentile is then calculated by dividing the number of data points less than or equal to the given value (10) by the total number of data points (16) and multiplying by 100. The percentile ranking for 130 is (10/16) * 100 = 62.5%.

Among the provided options, the closest match to the calculated percentile ranking of 62.5% is option D) 62. Therefore, the correct answer for the percentile ranking of the data point 130 is D) 62.

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Answer:

B?

Step-by-step explanation:

The percentage off of the coupon is 25%

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

Normal price = $24

Amount saved = $6

The above parameters mean that

Percentage of the coupon = Amount saved/Normal price

Substitute the known values in the above equation, so, we have the following representation

Percentage of the coupon = 6/24

Evaluate

Percentage of the coupon = 25%

Hence, the percentage is 25%

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Answer:

\(x=6\)

Step-by-step explanation:

\(11x-20=2x+34\\9x-20=34\\9x=54\\x=6\)

Answer:

X=6

Step-by-step explanation:

11x-20+20=2x +34 + 20

Answer:

C

Step-by-step explanation:

3x - 9y = 9 → (1)

- 2x +2y = 8 ( subtract 2y from both sides )

- 2x = - 2y + 8 ( divide through by - 2 )

x = y - 4

substitute x = y - 4 into (1)

3(y - 4) - 9y = 9

3y - 12 - 9y = 9

- 6y - 12 = 9 ( add 12 to both sides )

- 6y = 21 ( divide both sides by - 6 )

y = \(\frac{21}{-6}\) = - \(\frac{7}{2}\)

Answer:

The point where f(x), g(x), and h(x) have the same value is (8, 11)

Step-by-step explanation:

The points where g(x) and h(x) have the same value is given as follows;

2x - 5 = 8/x + 10

2x² - 15x - 8 = 0

Using an online tool, we have;

(x - 8)(2x + 1) = 0

x = 8 or x = -1/2

∴ g(x) and h(x) = 11 or y = -6

For x = 8, we have;

f(x) = 2^(x - 5) + 3 = 2^(8 - 5) + 3 = 2^3 + 3 = 11

For x = -1/2, we have;

f(x) = 2^(-1/2 - 5) + 3 = 3.022

Therefore, the point where f(x), g(x), and h(x) have the same value is (8, 11), therefore, for x = 8, f(x) = g(x) = h(x) = 11.

Answer:

1.

f(0) = -3

f(1) = f(0) + 0.5 = -3 + 0.5 = -2.5

f(2) = f(1) + 0.5 = -2.5 + 0.5 = -2

f(3) = f(2) + 0.5 = -2 + 0.5 = -1.5

f(4) = f(3) + 0.5 = -1.5 + 0.5 = -1

2.

f(n) = 0.5n - 3

This function is linear.

Answer:

See answers below.

Step-by-step explanation:

A relation is a function if the x-value in group of ordered pairs is only used one time.

1.  Not a function:  The x-value 4 was used twice.

2. Yes, it is a function:  Each x-value was used one time.

3. Not a function:  The x-value -2 was used twice.

4.  Yes, it is a function: Each x-value was used one time.

5.  Not a function: Each x-value -1 and -2 were used twice.

6.  Not a function: The x-value  1/2 was used twice (1/2, 0) and (1/2, 1).

Therefore, the preceding equation, which states that Brittany will be twice as old as Steve in 9 years, is proven when Brittany is 54 years old and Steve is 18 years old.

Equations are mathematical statements with the equals (=) sign on each side and two algebraic expressions in the center.

Coefficients, variables, operators, constants, terms, and the equal to sign are just a few of the components that make up an equation. The "=" symbol and terms on both sides are always needed when writing an equation.

calculation

Let s = brittany 's age now

Let t = steve's age now

s = 3t

s + 9 = 2 (t+9)

s + 9 = 2t + 27

s = 2t + 27 - 9

s = 2t + 18

Substitute 3t for s and find t

3t = 2t + 18

3t - 2t = 18

t = 18 yrs is steve's age

then

s = 3(18)

s = 54 yrs is brittany's age

Therefore, the preceding equation, which states that Brittany will be twice as old as Steve in 9 years, is proven when Brittany is 54 years old and Steve is 18 years old.

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Answer:

The answer to your problem is, C. 20

Step-by-step explanation:

First, find the decimal of 5/8, which is 0.625. It will be used later.

If you can recall cannot divide a decimal because it will multiply it instead.

We will have to use multiplication because since it is a decimal it is the same as dividing.

32 students, so multiply by 0.625

= 20

Thus the answer to your problem is, C. 20

The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

We have a rectangular storage container without a lid.

The formula of volume of the box is

V = l × w × h

Where

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

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The associations rhat are shown by the graph are

A graph depicting a negative linear association appears as points on the chart are concomitantly placed around a straight line that confidently descends from left to right. In simpler terms, there is a notable inverse correlation between the x and y variables, which can be best comprehended with the help of an illustration.

For instance, if one were to consider a dataset representing the age of an automobile (x) and its fuel efficiency in miles per gallon (y), a graph displaying a rigorous negative linear association implies that with an increase in the age of the car, its energy proficiency has an inclination to decrease.

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Answer:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. if it's 6÷x=3, do 6÷3=2 to get the value of x. 6÷2=3.

Contrast ratio is a measurement that indicates the ability of a monitor to display colors by comparing the brightness of the brightest white to the darkness of the darkest black. The correct option is A.

The contrast ratio is usually expressed as a ratio, such as 1000:1 or 5000:1, with the first number indicating the brightness of the white and the second number indicating the darkness of the black. The higher the contrast ratio, the better the monitor is able to display a wide range of colors and shades. A high contrast ratio is important for tasks such as image and video editing, as it allows for more accurate color representation and contrast in the final product.

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Full Question ;

This indicates the monitor's ability to display colors by comparing the light intensity of the brightest white to the darkest black.

Question 1 options:

A) Contrast ratio

B) Dot Pitch

C) Active display area

D) Resolution

Contrast ratio Indicates a monitor's ability to display colors by comparing the light intensity of the brightest white to the

darkest black. The term you are looking for is "contrast ratio."

The brightness of the brightest shade (white) to the deepest shade (black) that the system is capable of producing is

measured as the contrast ratio (CR), a display system characteristic.

A display's desired feature is a high ratio of contrast. It resembles dynamic range in certain ways.

Ratings provided by various manufacturers of display devices are not always comparable to one another due to

differences in method of measurement, operation, and unstated variables.

This is because there is no official,  standardised way to measure contrast ratio for a system or its parts, nor is there a

standard for defining "Contrast Ratio" that is accepted by any standards organisation.[1] While other designers have

more frequently taken the effect of the environment into account, manufacturers have historically preferred

measurement methods that isolate the gadget from the system.

This is a key aspect of monitor performance, as it directly impacts the overall image quality and color reproduction.

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Answer: 55%

1. 279 - 180 = 99

2. 99 divided by 180 = 0.55

3. 0.55 x 100 is 55.

55 is the percentage

The fraction 2.666666666667 equals   \(\frac{8}{3}\) .

A fraction is used to represent a portion/part of something larger. It symbolises the equal parts of the whole. A fraction is comprised of two components the numerator and the denominator. The top number is referred to as that of the numerator, and the bottom number is known as the denominator. The denominator specifies the total number of equal parts in a whole, whereas the numerator describes the number of equal parts taken.

1. Assume that x = 2.666667 (1)

2. Six is the repeating digit.

To the left of the decimal point, put the repeating digit.

In this instance, multiply the decimal point by 10 to move it one place to the right.

Thus,

(x = 2.666667) * 10

Equation 10x = 26.66667 (2)

4. Take Eq. (1) away from Eq (2)

10x - x = 26.66667 - 2.666667

9x = 24

9 divided by both sides

x = \(\frac{24}{9}\) or \(\frac{8}{3}\)

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The probability that the area covered by a can of spray paint is 0.251

The variable of interest is:

X: are objects that can be painted with a single can of spray paint.

This variable has a normal distribution, with a mean of 25 feet square and a standard deviation of 3 feet square.

Symbolically:

P(X≥27)

To calculate the probability, use the standard normal distribution, so first standardize the value of X using:

Z= (X-μ)/σ

P(X≥27)= P(Z≥(27-25)/3)= P(Z≥0.67)

Now, because the Z-table contains cumulative probability information:

P(Zα≤Z₀)=1-α

you must perform the following conversion to calculate the requested probability:

1 - P(Z<0.67)= 1 - 0.749= 0.251

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To find the altitude of the airplane after 8 minutes since take-off, we can use the linear function h(t) = 400t + 2300, where h(t) represents the altitude in feet and t is the time in minutes.

By substituting t = 8 into the function, we can determine the altitude.

Given the linear function h(t) = 400t + 2300, we can find the altitude of the airplane after 8 minutes by substituting t = 8 into the function:

h(8) = 400 * 8 + 2300

h(8) = 3200 + 2300

h(8) = 5500

Therefore, after 8 minutes since take-off, the altitude of the airplane is 5500 feet. This means that the airplane has reached an altitude of 5500 feet above sea level.

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Answer:

740

Step-by-step explanation:

Let the AP be a, a+d, a+2d, a+3d, ...

The  term of AP is given by:

\(t n =a+(n-1)d\)

We are given that the third term is 7.

\(t 3=7\)

⇒  \(a+(3-1)d=7\)

⇒\(a+2d=7 ---(1)\)

Also, the seventh term is 2 more than three times the third term.

\(t7=3t3+2\)

⇒\(a+ (7-1)d=3(a+(3-1)d)+2\)

⇒\(a+6d=3(a+2d)+2\)

⇒\(a+6d=3a+6d+2\)

⇒\(-2a=2\)

⇒\(a=-1\)

We can put it in (1)

\(a+2d=7\)

⇒\((-1)+2d=7\)

⇒\(2d=8\)

⇒d=4

Now, the Sum of n terms of an AP is given by the formula:

\(sn=\frac{n}{2}(2a+(n-1)d)\)

So, Sum of first 20 terms would be:

\(s 20=\frac{20}{2}(2(-1) +(20-1) x 4)\)

⇒\(s20=10(-2+19 x 4)\)

⇒\(s 20=10 x(-2+76)\)

⇒\(s 20= 10 x 74\)

⇒\(s 20=740\)

Thus, The Sum of first 20 terms of the AP is 740.

Answer:

3808

Step-by-step explanation:

Given the sequence: 13,19,25

First Term, a=13

Common Difference, d=19-13=25-19=6

Since we have a common difference, the sequence is an arithmetic sequence.

We determine the sum of any nth term of an arithmetic sequence using the formula:

\(S_n=\frac{n}{2}[2a+(n-1)d] \\n=34, a=13, d=6\\$Therefore:\\S_{34}=\frac{34}{2}[2(13)+(34-1)*6]\\=17[26+33*6]\\=17[26+198]\\=17*224\\S_{34}=3808\)

The sum of the first 34 terms is 3808.

The first five terms of the sequence. an = [(−1)^n−1 / 3n] a1 = 1/3, a2 = -1/6, a3 = 1/9, a4 = -1/12 and a5 = 1/15

\(a1 = (-1)^0 / (3*1) = 1/3\\a2 = (-1)^1 / (3*2) = -1/6\\a3 = (-1)^2 / (3*3) = 1/9\\a4 = (-1)^3 / (3*4) = -1/12\\a5 = (-1)^4 / (3*5) = 1/15\\\)
The sequence is given by the formula an = [(−1)^(n−1) / 3n]. To find the first five terms, simply plug in the values of n from 1 to 5:

a1 = [(−1)^(1-1) / 3(1)] = [1 / 3] = 1/3
a2 = [(−1)^(2-1) / 3(2)] = [-1 / 6] = -1/6
a3 = [(−1)^(3-1) / 3(3)] = [1 / 9] = 1/9
a4 = [(−1)^(4-1) / 3(4)] = [-1 / 12] = -1/12
a5 = [(−1)^(5-1) / 3(5)] = [1 / 15] = 1/15

So, the first five terms of the sequence are:
a1 = 1/3
a2 = -1/6
a3 = 1/9
a4 = -1/12
a5 = 1/15

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Answer:

bat pa kasi pinapangita ang ex

Given: Two similar figures are given.

Required: To determine the value of x.

Explanation: The corresponding sides of the similar figures are in equal proportion.

Thus, we can write-

Further solving for x as follows-

Final Answer: The value of x is 7.

bobby is hanging a cabinet, the cabinet is 3.5 feet wide and 2 feet tall, if he wants to center the cabinet horizontally on a wall that is 6.25 feet wide, The end of the cabinet will be 1.375 feet away from the edge of the wall.

Bobby is hanging a cabinet. The cabinet is 3.5 feet wide and 2 feet tall. If he wants to center the cabinet horizontally on a wall that is 6.25 feet wide, how far will the end of the cabinet be from the edge of the wall? Bobby is hanging a cabinet that is 3.5 feet wide and 2 feet tall.

If he wants to center the cabinet horizontally on a wall that is 6.25 feet wide, how far will the end of the cabinet be from the edge of the wall?A cabinet is 3.5 feet wide and needs to be centered horizontally on a wall that is 6.25 feet wide. Therefore, the space remaining on the wall is: 6.25 ft - 3.5 ft = 2.75 ft.

So, the amount of space remaining on either side of the cabinet is 2.75 ft / 2 = 1.375 ft.The end of the cabinet will be 1.375 feet away from the edge of the wall.

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Answer:

6n-2 = 22

Step-by-step explanation:

n = 4

6(4)-2

24-2

22