What is the vertex and the equation of the axis of symmetry of the graph of y=x2-6x-7?

Answer:

[tex]2.8\times 10^{-5},2.8\times 10^{-3},2.8, 2.8\times 10^2,2.8\times 10^4,[/tex]

Step-by-step explanation:

We have been given several numbers and we are asked to order them in least to greatest order.

Given numbers: [tex]2.8, 2.8\times 10^2,2.8\times 10^{-3},2.8\times 10^4,2.8\times 10^{-5}[/tex]

We know that the number with negative power will be smaller than the number with positive powers.

We can see from our given numbers that [tex]2.8\times 10^{-5}[/tex] has a negative power. We can rewrite this as [tex]2.8\times \frac{1}{10^5}[/tex]. This will be the smallest number.

Upon arranging our given number from least to greatest we will get,

[tex]2.8\times 10^{-5},2.8\times 10^{-3},2.8, 2.8\times 10^2,2.8\times 10^4,[/tex]

Answer:

1. 345 dollars

2. 97.125 dollars

Step-by-step explanation:

1) What are the earnings for 5 days at 69 dollars a day?

If a person makes 69 dollars a day and we want to know the earning of 5 days, we would have to multiply the earnings per day by the number of days.

69 x 5 = 345.

2) What are the earnings for 3.5 days at 27.75 dollars a day?

If a person makes 27.75 dollars a day and we want to know the earning of 3.5 days, we would have to multiply the earnings per day by the number of days.

27.75 x 3.5 = 97.125

The numbers are ordered from least to greatest by first converting them all to decimals, resulting in the order: 8.17, 8.174, 8 7/11 (8.6363), and 173/20 (8.65).

First, we need to convert all the numbers to similar formats, either as decimals or fractions, to compare them accurately. Here's what we have:

Now, we can easily order these from least to greatest:

Final answer:

To calculate the percent yield, the actual yield in moles of potassium permanganate was found to be 4.40 moles from 695.2 g, using the molar mass of KMnO4. Then, the percent yield was calculated using the theoretical yield of 5.00 moles, resulting in 88%.

Therefore, the correct answer is C. 88%

Explanation:

To calculate the percent yield of the reaction, we first need to know the moles of potassium permanganate (KMnO4) that correspond to 695.2 g. We use the molar mass of KMnO4 which is 158.04 g/mol to convert grams to moles.

Actual yield in moles = mass (g) / molar mass (g/mol) = 695.2 g / 158.04 g/mol = 4.40 moles of KMnO4

Now, with the theoretical yield of 5.00 moles, we can find the percent yield using the formula:

Percent yield = (actual yield / theoretical yield) × 100%

Percent yield = (4.40 moles / 5.00 moles) × 100% = 88%

Therefore, the correct answer is C. 88%

Answer: The answer is 16 by 32.

Step-by-step explanation:

I took the test and this was correct. Explanation is easy because 12 is 3/4 of 16 and 24 is 3/4 of 32.

If the generic television set is 12 inches by 24 inches, the dimensions of the brand name television is, 16 inches by 32 inches

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

Jason considered two similar televisions at a local electronics store

The generic version was three fourths the size of the brand name

The generic television set is 12 inches by 24 inches

The dimensions of the brand name television = ?

Suppose, the dimensions of the brand name are a  inches by b inches

So,

3/4 a   =  12

a   =  16

Similarly,

3/4 b = 24

b  =  32

Hence, the dimensions are 16 inches by 32 inches

To know more about Fraction check:

https://brainly.com/question/8482939

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The interpretation is (c) the rate of change of the cost of the taxi ride is $2.00 per minute.

The function is given as:

c(x) = 2x + 4.00

A linear equation is represented as:

c(x) = Slope * x + y-intercept

By comparison, we have:

Slope = 2

This means that the slope of c(x) = 2x + 4.00 is 2

Hence, the interpretation is (c) the rate of change of the cost of the taxi ride is $2.00 per minute.

Read more about slope at:

https://brainly.com/question/3493733

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Answer:

Step-by-step explanation:

The problem is about proportions, because we have two parallels line being intercepted by two transversal. So, the proportion would be:

[tex]\frac{x+8}{x}= \frac{x+13}{x+1}[/tex]

Solving for [tex]x[/tex]:

[tex]\frac{x+8}{x}= \frac{x+13}{x+1}\\(x+1)(x+8)=x(x+13)\\x^{2} +8x+x+8=x^{2} +13x\\9x+8=13x\\8=13x-9x\\4x=8\\x=\frac{8}{4}=2[/tex]

Now, to find the length of AC, we just have to use the value found and replace it in the proper expression:

[tex]AC=x+13+x+1=2x+14=2(2)+14=4+14=18[/tex]

Therefore, the length of AC is 18.

The correct answer is 3391.2cm^3

Final answer:

To find the missing number in the equation 6.02 + 1.3 - __ = 4.39, you need to first add 6.02 and 1.3, and then subtract the result from 4.39 to obtain the missing number, which is -2.93.

Explanation:

What you need to do in this question is solve for the missing number to make the equation true: 6.02 + 1.3 - x = 4.39.

First, add 6.02 and 1.3: 6.02 + 1.3 = 7.32.

Next, subtract 7.32 from 4.39 to find the missing number: 4.39 - 7.32 = -2.93. Therefore, the missing number is -2.93.

Final answer:

To find out how many people are eating cookies, you multiply the total number of people in the bakery, which is 18, by two-ninths. The result is four, meaning four people are eating cookies.

Explanation:

If two-ninths of the eighteen people in the bakery are eating cookies, we need to calculate 2/9 of 18 to find out how many people are eating cookies. This is a basic fraction multiplication problem.

To solve this, we multiply 18 (the total number of people) by the fraction 2/9:

18 × (2/9) = (18 × 2) / 9

18 × 2 = 36

36 / 9 = 4

Therefore, four people in the bakery are eating cookies.