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Lucy is baking a cake. The recipe requires 6 cups of flour and 8 cups of sugar. Which
ratio of cups of flour to cups of sugar can be used to make more than

Answer:

y = \(\frac{1}{x}\)

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

y = \(\frac{k}{x}\) ← k is the constant of variation

To find k use the condition y = 3 when x = \(\frac{1}{3}\) , then

3 = \(\frac{k}{\frac{1}{3} }\) ( multiply both sides by \(\frac{1}{3}\) )

3 × \(\frac{1}{3}\) = k

1 = k

y = \(\frac{1}{x}\) ← equation of variation

There are 10 members on the board, so there are 10 ways to elect a president, 9 ways to elect a vice president, 8 ways to elect a secretary, and 7 ways to elect a treasurer.

This is because each position can be filled by any of the members, except for the position that the member is already filling. For example, the president can be elected from any of the 10 members, but the vice president must be elected from the remaining 9 members.

The company sea esta has ten members on its board of directors, so it has a lot of different options for how to elect a president, vice-president, secretary, and treasurer. One way to elect a president would be to have the board members vote on who they want to be president.

Another way to elect a president would be to have the members of the company vote on who they want to be president. There are many different ways to elect officers, and it really depends on the company and what they want to do.

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Answer:

lateral area = 180π in²

Step-by-step explanation:

The lateral area is the surface of the cone only.

perimeter of base = 12 x 2 = 24π in

Surface Area = 1/2 perimeter x slant height

SA = 1/2 x 24π x 15 = 180π in²

Answer:

D

since 45027/3 is is 15009 and 804597/3 is 268199

It can be noted that the decimals that fit into the equation will be 68.05, 68.3, and 68.006.

Your information is incomplete as the original equation isn't given. Therefore, an overview will be given.

Let's assume that the statement is that you should find three decimals where the addition equals 204.086

In this case, you've to look at the decimals and add the three that will give the number above. In this case, the three decimals will be:

68.05 + 68.3 + 68.006

= 204.086

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Ryan has the faster time when compared to each of their teams,

"Information available from the question"

The time taken by Nick is 10.8 seconds.

The mean time taken by Nick is 11.4 seconds.

The standard deviation of Nick is 0.4 seconds.

The time taken by Ryan is 11.2 seconds.

The mean time taken by Ryan is 11.5 seconds.

The standard deviation of Ryan is 0.1 seconds.

The z-score of Nick is:

\(z_1=\frac{10.8-11.4}{0.4}\)

\(z_1=-1.5\)

The z-score of Ryan is:

\(z_2=\frac{11.2-11.5}{0.1}\)

\(z_2=-3\)

Thus, Ryan z-score is lower, so Ryan has the faster time when compared to each of their teams.

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any number that doesn't have a variable can not go into a number that has variable so there would only be 1

The two number cubes rolled together will have 36 possible outcomes shown in the outcome table below;

From the outcome table of the sum of numbers of both cubes shown above,

Number of 5's = 4

Total outcomes = 36

Therefore, the probability that the sum of the numbers rolled will be 5 is 1/9.

Answer:

D.8

Step-by-step explanation:

A cube's volume is basically the side length multiplied by itself 3 times, so if it was increased by a factor of 2, it would mean 2x2x2 which equals 8.

To check whether the true average is 59k or not, A sample mean T-Test needs to be conducted. The true value of 59k is 44k after the test.

In the field of statistics, average means that the ratio of the sum of the numbers of a given set, to the total number of characters in a given set. It is also called as the Arithmetic mean.

It is given that the student center has published the data that the average salary of the college graduates is 59k. Accordingly, the sample of 49 college students were verified and the sample average salary came out to be 44k.

When we analyze the  given question, we find that,

The total number of students were 49,The true average was found to be 59k,and the Sample average is found to be 44k.

Thus, in  the present question we will use the One- sample T-test.

We used this test, as the statistical hypothesis test is used to find if the unrecognized population mean is different from the specific value.

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Answer:

a. 8 gallons

b. (11-0.75t) gallons

Step-by-step explanation:

a. Here in this question, we are told that the total amount of fuel in the fuel tank is 11 gallons and the car consumes 0.75 gallon per hour. We are interested in knowing the amount of fuel left in the tank after driving for four hours.

We proceed as follows;

Since 0.75 gallon is consumed in an hour, the amount of fuel consumed in 4 hours would be the amount consumed in an hour * 4 hours

Mathematically, that would be 0.75 * 4 = 3 gallon

Now, the amount of fuel left is simply the difference between the initial amount of fuel in the tank minus the amount of fuel present after 4 hours.

That would be; 11 - 3 = 8 gallons

b. Like above, we want to know the amount of fuel left after t hours.

Since 0.75 is used up per hour, the amount used up in t hours would be 0.75 * t = 0.75t

Now, the amount of fuel that would be left in the tank would be the difference between what we had initially and what was used up.

Mathematically, that would be 11- 0.75t

A graph of the resulting triangles after a reflection over the line y = -1 and over the y-axis is shown in the images below.

In Mathematics, a reflection across the line y = k and y = -1 can be modeled by the following transformation rule:

(x, y)                                    →              (x, 2k - y)

(x, y)                                    →              (x, -2 - y)

Ordered pair A (0, 2)    →        Ordered pair A' (0, -4).

Ordered pair B (-8, 8)    →        Ordered pair B' (-8, -10).

Ordered pair C (0, 8)    →        Ordered pair C' (0, -10).

By applying a reflection over the y-axis to the coordinate of the given triangle ABC, we have the following coordinates for triangle A"B"C":

(x, y)                                              →                 (-x, y).

Ordered pair A (0, 2)    →        Ordered pair A" (0, 2).

Ordered pair B (-8, 8)    →        Ordered pair B" (8, 8).

Ordered pair C (0, 8)    →        Ordered pair C" (0, 8).

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Answer:

7

Step-by-step explanation:

Answer:

factors

Step-by-step explanation:

To find the roots of a polynomial, it is often useful to find the Factors of the polynomial.

Answer: answer is a

Step-by-step explanation:

Using function concepts, it is found that the correct option is given by:

D. The function is negative when x<0

In this problem, the graph of the function is the red line, and:

Thus, option D is correct.

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Divide the figure into 3 shapes: 2 rectangles and 1 square

Area of rectangle 1: L * W

L = 5, W = 2

2 * 5 = 10 m^2

Area of rectangle 2: L * W

L = 6 + 2 , W = 3

8 * 3 = 24 m^2

Area of square: s^2

2^2 = 4 m^2

Add all them together

10 + 24 + 4 = 38 m^2

Step-by-step explanation:

Area of the top Horizontal Rectangle =

Length x Width

=

\((5 + 3 + 2) \times 2 \\ = 10 \times 2 \\ = 20 {m}^{2} \)

Area of the bottom vertical rectangle =

Length x Width

=

\(6 \times 3 \\ = 18 {m}^{2} \)

Total Area = Sum of Area of 2 Rectangles

=

\(20 + 18 \\ = 38 {m}^{2} \)

Symbolic models are those that are based on mathematical formulas.

The goal of symbolic modelling is to help clients become more aware of their own "symbolic domain of experience," allowing them to create their own "metaphor landscape" and explore internal metaphors, which are believed by conceptual metaphor theory to influence behaviour.

What benefits do symbolic models offer?

One of the most significant and defining technologies of next-generation modelling methodologies is swiftly emerging as symbolic computation. It allows the freedom to easily create model equations, manage models more effectively, and reach the best outcomes more quickly.

Describe domain through an example.

the domain name example.com might be connected to the address 198.102. 434.8.

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Step-by-step explanation:

sec²x + cosec²x = sec²x.cosec²x

1/cos²x + 1/sin²x = 1/cos²x.1/sin²x

or, (sin²x+cos²x)/sin²x.cos²x = 1/(sin²x.cos²x)

or, 1/(sin²x.cos²x) = 1/(sin²x.cos²x)

Hence,

sec²x + cosec²x = sec²x.cosec²x proved!!

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

We have,

To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:

Distance Formula:

If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:

d = √((x2 - x1)² + (y2 - y1)²)

Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:

AB = √((4 - (-5))² + (5 - 5)²) = 9

BC = √((2 - 4)² + (0 - 5)²) = √(29)

CD = √((-5 - 2)² + (-2 - 0)²) = √(74)

DA = √((-5 - (-5))² + (5 - (-2))²) = 7

Therefore,

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

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Answer:

x^26

Step-by-step explanation:

Answer:

(x⁴)⁵ × (x)⁶ = x²⁶

Step-by-step explanation:

(x⁴)⁵ × (x)⁶

(x)⁴°⁵ × (x)⁶

(x)²⁰ × (x)⁶

x²⁰ × x⁶

x²⁰⁺⁶ = x²⁶

Thus, (x⁴)⁵ × (x)⁶ = x²⁶

-TheUnknownScientist

Answer:

-2 C < 4 C

Step-by-step explanation:

Answer:

-2 C < 4 C

Step-by-step explanation:

Because |-| means that it is less than 0, and 4 is above 0. Whatever is above -2 will greater for ex.

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-2 C < -3 C

this will be greater!! Hope this helps!!ლ(•ω •ლ)

The requried, given system of equations y=x+3 and 3x-3y=9 has no common solution.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,

From the first equation, we can solve for y:

y = x + 3

Substitute y = x + 3 into the second equation:

3x - 3(x + 3) = 9

Simplify the right side:

3x - 3x - 9 = 9

-9 = 9 (inconsistent)

Since the equation -9 = 9 is inconsistent, the system of equations has no solution, which means that there are no values of x and y that make both equations true at the same time. It implies the system of equations has no solution.

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Answer:

10 for x and y

Step-by-step explanation:

Because the triangle adds up to 30 deggrees

So... you want to take 4 out.

30- 4 = 24

Than...You want to divided 24 by 2.

And that equals 12

Than round 12's by tenth

Which equals 10

Answer:

-20

Step-by-step explanation:

Answer:

\(\frac{1}{4}\)

Step-by-step explanation:

rate of change is a measure of the slope.

Calculate slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (9, - 29) and (x₂, y₂ ) = (13, - 28)

m = \(\frac{-28-(-29)}{13-9}\) = \(\frac{-28+29}{4}\) = \(\frac{1}{4}\) ← rate of change

Answer:

3.5 un

Step-by-step explanation:

to find the new length of the square using a scale factor of 1/7 you can just multiply 24.5 by 1/7

this is basically dividing 24.5 by 7

24.5 / 7 = 3.5

that is your answer

Answer:

  68 miles

Step-by-step explanation:

The total distance can be determined from the fractions.

Let d represent the total distance of the race.

The distance running is 1/2d. The distance swimming is 1/4d. The remaining distance is 17 miles.

  Remaining = total distance - distance running - distance swimming

  17 mi = d -1/2d -1/4d = 1/4d . . . . . . . . use known fractions

  68 mi = d . . . . . . . multiply by 4

The total distance of the race is 68 miles.

__

Additional comment

This would be a very difficult race. A typical "iron man" race has a swimming distance under 2.5 miles, less than 1/10 of the distance running. The biking distance is typically about 4 times the running distance of "only" 26 miles. An iron man race can take about 17 hours to complete.

This race has a 17-mile swimming segment, which would take a fast swimmer on the order of 8 hours, by itself. (This is 2.7 times the length of a "marathon" swim.) Here, the running distance is 34 miles, about 30% longer than a marathon.

Answer: D

Step-by-step explanation:

Answer:

Answer= D

Step-by-step explanation: