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The golf scores for the 32 members of the Belmont Country Club were 108, 89, 74, 115, 92, 86, 103, 107, 94, 89, 111, 78, 116, 82, 99, 107, 74, 78, 101, 93, 85, 98, 109, 82, 83, 105, 91, 106, 97, 84, 92, 96. Which histogram correctly shows the frequency distribution of the scores using ten-point intervals?

Final answer:

No, y = 0 is not the asymptote of all functions of the form f(x) = ab^x. The y = 0 line is called the x-axis and is only an asymptote for certain functions. Functions of the form f(x) = ab^x do not have y = 0 as an asymptote.

Explanation:

No, y = 0 is not the asymptote of all functions of the form f(x) = ab^x. The y = 0 line is called the x-axis and is only an asymptote for certain functions. In order for a function to have y = 0 as an asymptote, the limit of the function as x approaches infinity or negative infinity would need to be 0. For example, the function f(x) = 1/x has y = 0 as an asymptote because as x approaches infinity or negative infinity, the function approaches 0. However, functions of the form f(x) = ab^x do not have y = 0 as an asymptote because as x approaches infinity or negative infinity, the value of the function either approaches infinity or approaches 0, depending on the values of a and b.

The original cost of the television before a 7.5% sales tax was added, which made the total $429.99, is optionD. $399.99.

The question is asking to find the original cost of a television before sales tax was added. Given that the final cost after including the 7.5% sales tax is $429.99, we need to find the price before this tax was applied. To calculate this, we first convert the percentage to a decimal, which is 0.075, and then create an equation to represent the relationship between the original price (let's call it x) and the total cost with tax. The equation would be x + 0.075x = $429.99. This is equivalent to 1.075x = $429.99. Solving for x gives us the original price of the TV before tax.

To solve for x, we would divide both sides by 1.075, which is the combined total of the original price and the tax. x = $429.99 / 1.075. This calculation gives us the original price of the TV, which turns out to be $399.99, which is option (D).

The third vertex C of triangle ABC with vertices A(-6,-3) and B(2,-3) and area 24 square units can have coordinates (0,3) or (0,-9).

Given the vertices of triangle ABC are A(−6,−3) and B(2,−3). The coordinates of point C will form the third vertex of the triangle. The distance from A to B is the base of the triangle and can be calculated as follows: AB = sqrt[(2 -(-6))^2 + ((-3) - (-3))^2] = 8 units. The area of a triangle is calculated by the formula: 1/2*base*height=area. Given that the area of the triangle ABC is 24 square units, we can set up the following equation: 1/2*8*height=24. Solve for height to get the y-coordinate of point C as 6 units above the line AB (which lies on y = -3), for C(0,3) or 6 units below line AB for C(0,-9). Therefore, the third vertex C can be at coordinates (0,3) or (0,-9) for the triangle to have an area of 24 square units.

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Final answer:

To find how many hamburgers were sold, we set up an equation and solve for H, the number of hamburgers. After forming the equations, simplifying, and solving, it turns out that 325 hamburgers were sold on Tuesday.

Explanation:

The student is asking how many hamburgers were sold on Tuesday given that a total of 712 hamburgers and cheeseburgers were sold, with there being 62 more cheeseburgers sold than hamburgers. To solve this, we can set up an equation. Let's denote the number of hamburgers sold as H and the number of cheeseburgers as C. According to the problem,

C = H + 62 and H + C = 712.

By substituting the first equation into the second, we get:

H + (H + 62) = 712

Simplifying, we have

2H + 62 = 712

Subtracting 62 from both sides, we get-

2H = 650

Dividing both sides by 2, we find -

H = 325

Therefore, 325 hamburgers were sold on Tuesday.

Jessie set up a lemonade stand for three days.

On Saturday she sold 10 and 2/3 gallons of lemonade = 10+2/3 = 32/3 gallons

On Sunday she sold 3 and 1/3 gallons more than she sold on Saturday

Lemonade sold on Sunday = 32/3 + 3 and 1/3 gallons

= 32/3 + 10/3 = 42/3 gallons = 14 gallons

On Monday she sold 2 and 2/3 gallons less than she sold on Sunday

Lemonade sold on Monday = 14 - 2 and 2/3 gallons

= 42/3 - 8/3 = 34/3 gallons

Therefore, Jessica sold 11 and 1/3 gallons of lemonade on Monday

Answer:  Amount that the Smith family need to pay for the meal including tax and tip = 53.47.

Step-by-step explanation:

Since we have given that

Price of the meal = 43.45

Rate of sales tax = 7%

Amount becomes after the sales tax is given by

[tex]\frac{7}{100}\times 43.45\\\\\frac{304.15}{100}\\\\=3.0415\\\\\text{Amount}=43.45+3.0415=46.4915[/tex]

Rate of tips over meal and sales = 15%

Amount of tips is given by

[tex]\frac{15}{100}\times 46.4915\\\\=0.15\times 46.4915\\\\=6.974[/tex]

So, Amount becomes

[tex]46.4915+6.974\\\\=53.465\\\\=53.47[/tex]

Hence, Amount that the Smith family need to pay for the meal including tax and tip = 53.47.

Answer:

x greater than or equal to 3

Step-by-step explanation:

got it right on quiz

Answer: 2n + 28 = 48

Step-by-step explanation: Got it right on TTM

Answer: the answer is i

Step-by-step explanation:

Answer:

Coefficient of n² is 3.

Step-by-step explanation:

Given  :  4n³ + 3n² + 2n + 1.

To find : What is the coefficient of n².

Solution : We have given 4n³ + 3n² + 2n + 1.

Coefficient : A numerical or constant quantity placed before and multiplying the variable in an algebraic expression

Example :  4 in 4x² .

In 4n³ + 3n² + 2n + 1.

Coefficient of n² is 3.

Therefore, Coefficient of n² is 3.

The problem can be seen below, we will see that the quotient between the given numbers is 20.

Here we want to divide 5 by 1/4.

An example of this can be: Assume that you have $5, and you want to buy pieces of wood (to make little houses for birds) such that each piece costs $(1/4).

How many pieces can you buy?

To solve this, we need to take the quotient between 5 and (1/4), this gives:

[tex]\frac{5}{1/4} = 20[/tex]

You can buy 20 pieces.

If you want to learn more about divisions:

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In summary, an effective argumentative essay includes a clear thesis statement followed by logically structured reasons supported by a mix of well-researched evidence and personal knowledge, ensuring a persuasive and objective argument.

Students tasked with creating an argumentative essay must focus on developing a persuasive argument. The essay should begin with a summary of the argument that clearly states the main thesis. Following this, at least three reasons should be provided to support why the adopted approach is superior, using logical and persuasive evidence, such as statistics, expert opinions, and relevant examples. Contrary to this, the reasons why the alternative method is less effective should also be articulated. The Rule of 3 is a strategic approach where the contentions made to support an opinion are outlined in three clear points, enabling a structured and convincing argument to be presented.

To successfully make an argument in a position paper, it is crucial to provide a paragraph for each reason, starting with a clear topic sentence and backed by well-researched evidence. This can include research findings, personal knowledge, and a variety of evidence to ensure the argument is perceived as objective. An informal approach may also be used to frame the debate, maintaining relevance and ensuring engagement with the topic.

Finally, it's vital to use reliable resources to supplement the argument. A combination of research from credible sources and well-prepared reasoning constructs an objective and persuasive document that clearly distinguishes the author's ideas from those presented in the referenced texts.