which is the greatest 1/12, 1/32, 1/48 or 1/18

Answer:

25, you have to set up a ratio between 5 to 7 and 35.

Step-by-step explanation:

A. True.

In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.

The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).

The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.

A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.

For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.

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The expression in the options which is equivalent to the given expression is D. (22x + 48) / (x² - 36).

Given expression is,

[15 / (x - 6)] + [7 / (x + 6)]

Cross multiplying the two fractional expressions,

= [15 (x + 6) + 7 (x - 6)] / [(x - 6) (x + 6)]

= [15x + 90 + 7x - 42] / [x² - 6²]

= (22x + 48) / (x² - 36)

Hence the equivalent expression is D.

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Answer:

49 games

Step-by-step explanation:

Answer:

Area = 324 ft²

Step-by-step explanation:

Given

Length = 15ft

Walkway = 3ft

Required

Determine the area of the pond + the walkway

To calculate the required area, we need to get the total length of a side .

This is calculated by adding the length of a side of the pond and the side of the walkway

Total Length = Pond Length + Walkway

Total Length = 15ft + 3ft

Total Length = 18ft

Now, the required area can be calculated as thus:

Area = Total Length * Total Length

Area = 18ft * 18ft

Area = 324 ft²

Answer:

The answer would be 5 as 20÷4 will be 5?

Answer:

2y - 4 < 20

Step-by-step explanation:

Twice a number:  2y

Difference of 4:  - 4

Less than 20:  < 20

Therefore:  2y - 4 < 20

Answer:

1, -5

Step-by-step explanation:

first mark the point (2, -5) then go 2 right which brings you to (4, -5) and then 3 left to (1,-5)

Answer:

To factor the polynomial y = x³ + 2x² - 5x - 6 by dividing by (x + 1), we can use synthetic division:

-1  |   1   2   -5   -6

        |_______-1___-1___6

        | 1   1   -6   0

The result of the synthetic division is: x² + x - 6.

Therefore, we can write the polynomial as:

y = (x + 1)(x² + x - 6)

To factor it completely, we can factor the quadratic expression x² + x - 6:

y = (x + 1)(x + 3)(x - 2)

Therefore, the polynomial function y = x³ + 2x² - 5x - 6 can be factored completely as y = (x + 1)(x + 3)(x - 2).

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Answer:a because i dont know

Answer:

The demand for strawberry will increase and this will increase the prices of strawberries. The production of strawberry will also rise due to its demand.

Answer:

$1.34

Step-by-step explanation:

Simply multiply 7.91 by .17

7.91 times .17=1.3447

Round the the nearest hundredth

$1.34

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The value of f'(x) at x = 1 is 1 for first order derivative of x^x^3.

A derivative in calculus is the rate of change of a quantity y with respect to another quantity x. It is also termed the differential coefficient of y with respect to x. Differentiation is the process of finding the derivative of a function.

Given that, x^x^3 and we have to find the first order derivative with respect to x and then find the value at x = 1.

Let's proceed to solve this question accordingly.

let f(x) = x^x^3

The first order derivative = f'(x) = d/dx(x^x^3)

First apply the generalized power rule, then we have

= x^x^3.d/dx(ln(x)x^3)

Applying the power rule, we get

= x^x^3 (d/dx(x^3).ln(x)+x^3.d/dx(ln(x)))

= x^x^3 (3x^2 ln(x) +x^3.1/x)

= x^x^3 (3x^2ln(x) +x^2)

On simplifying, we will get

= x^x^3+2(3ln(x)+1)

f'(x) = d/dx(x^x^3) = x^x^3+2(3ln(x)+1)

Now, at x = 1, we get

f'(x) = d/dx(x^x^3) = x^x^3+2(3ln(x)+1) = 1

Therefore, f'(x) = d/dx(x^x^3) = x^x^3+2(3ln(x)+1) = 1 is the required answer.

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Given:

You need to follow these steps in order to multiply the Rational Expressions and express the product in the simplest form:

1. Factor the numerator of the expression on the left by finding two numbers whose sum is 5 and whose product is -66, as follows:

2. Factor the numerator of the second expression by finding two numbers whose sum is -17 and whose product is 66:

3. Factor the denominator of the expression on the left by finding two numbers whose sum is 22 and whose product is 121.

4. Factor the denominator of the expression on the right by finding two numbers whose sum is -12 and whose product is 36.

Then, you get:

5. You know that:

Then, you can simplify:

6. Multiply the numerators and multiply the denominators:

7. Simplifying, you get:

Hence, the answer is:

Answer:

A quadrilateral is a shape that has four straight sides and four angles.

A triangle is a shape that has three straight sides and three angles.

A square is a special type of quadrilateral that has four straight sides of equal length and four right angles.

\(s = \frac{cardinality(s)}{cardinality( \omega)} = \frac{15}{100} = \frac{1.5}{100} \)

The shaded region represents 1.5 grids

\(1.5 = 1 \frac{0.5}{1} = 1 \frac{5}{10} = 1\frac{1}{2} \)

Answer:

D

Step-by-step explanation:

The answer and work is in the attached screenshot! :)

The 99% confidence interval for the population mean cost is 38.37 to 269.97.

What is confidence interval?

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

Given that the standard hotel rooms in the Philadelphia area has a mean nightly cost of $154.17.

The standard deviation of the price of all hotel rooms in Philadelphia is $38.60.

According to the empirical rule,

P(μ - 3σ ≤ X ≤ μ - 3σ) = 99%.

Here μ = 154.17 and σ = 38.60.

Calculating the confidence interval:

154.17 -  (3 × 38.60) ≤ X ≤ 154.17 + (3 × 38.60)

38.37 ≤ X ≤ 269.97

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Answer:

-6

Step-by-step explanation:

just keep the same slope and just pretend to move the line up 8 which would decrease the x value by 14 equaling -6

Answer:

So i beiieve the answer is B

Step-by-step explanation:

Because if you thinl about the ride for A is $2 plus 25 cents so its 2 plus 25m thats per mile and b 3 dollars and 15 so u keep adding up until u get the same from both equations if u need further explanation let me know

Answer:

If the average high temperature on Mars is 70°F while the average low temperature is (-225)°F, then the range of the average temperature on Mars is 295°F.

As per the question statement, the average high temperature on Mars is 70°F while the average low temperature is (-225)°F,

And we are required to calculate the range of the average temperature on Mars from the data provided above.

To solve this question, We simply need to calculate the difference between the the average high temperature and the average low temperature on Mars, to obtain our desired answer.
Therefore, the range of the average temperature on Mars

= [(average highest temperature) - (average lowest temperature)]

= [70 - (-225)]°F

= (70 + 225)°F

= 295°F

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Therefore, the answer is:

C. positive and increasing

Answer:

V ≈ 1436.03 cm³

Step-by-step explanation:

The formula for the volume of a sphere is \(\frac{4}{3}\)πr³. r represents the radius, which is 7 cm since the diameter is 14 cm, so plug 7 into the equation as r. Also remember that the question states to use 3.14 for pi/π.

V = \(\frac{4}{3}\) (3.14)(7)³

V ≈ 1436.03 cm³

Answer:

2.154

Step-by-step explanation:

.2453

Answer:

P = 0.0438 ; We reject the Null and conclude that there is significant evidence that the discharge limit per gallon of waste has been exceeded.

Due to the small sample size.

Step-by-step explanation:

H0: μ = 500

H1 : μ > 500

Test statistic :

(xbar - μ) / S.E

Tstatistic = (1000 - 500) / 200

= 500 / 200

= 2.5

Pvalue from Test score ; df = 4 - 1 = 3 ; using calculator :

Pvalue = 0.0438

At α = 0.05

Pvalue < α ; We reject the Null and conclude that there is significant evidence that the discharge limit per gallon of waste has been exceeded.

The test above has a very small sample size, and for a distribution to be approximately Normal, the sample size must be sufficiently large enough according to the Central limit theorem.

For a two sided analysis ; the Pvalue is twice that for the one sided, hence, Pvalue = (0.0438 * 2) = 0.0876 yielding a less strong evidence against the Null.

Explanation:

There are 8 different flavors and 3 types of cones. This means there are 8*3 = 24 different combos possible.

Imagine a table with 8 rows and 3 columns. Each row is a different flavor and each column is a different cone type. The table formed has 24 inner cells to represent a different combination of flavor + cone type. So that's why we multiplied those values earlier.

Note: This only works if you're only able to select one type of flavor.

Answer:

Step-by-step explanation:

The formula for the volume of a cone is:

V = (1/3)πr^2h

where V is the volume of the cone, r is the radius of the base, and h is the height of the cone.

Substituting the given values, we have:

V = (1/3)π(10 mm)^2(6 mm)

V = (1/3)π(100 mm^2)(6 mm)

V = (1/3)π(600 mm^3)

V = 200π mm^3

Using a calculator to approximate π to 3.14, we get:

V ≈ 628.32 mm^3

Therefore, the answer is O 628 mm³.

Answer:

-9x+3

Step-by-step explanation:

remove parenthesis which gives you -x-3-8x+6

collect the like terms add -x to 8x

gives you -9x+3