If x is the principal square root of 7, what must be true?
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A line with angles that is not straight is called a curved line.

A geometrical entity which has at least one angle and deviates from the nature of a straight line is known as a curve. A curve is a non-linear geometric construct that does not exhibit a uniform directionality. The characteristic features of the object in question may manifest in either a smoothly contoured or a ruggedly uneven appearance, and may further be either enclosed or exposed.

In the realm of mathematics, various concepts can be represented by the application of curves. One illustrative instance is employing the curve of a graph for depicting the correlation between two variables. Curvilinear structures may also be utilized as a mathematical technique to arrive at solutions for problems. One illustrative instance pertains to the utilization of the parabolic curve in the determination of the peak or nadir point of a given function.

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Answer:

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Answer:

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Step-by-step explanation:

The value of the inverse of the equation is this: x³ -3 = y

To find the inverse of the equation follow these steps:

1. Replace H(x) with y.

y = (x + 4)³ - 1

2. Interchange the values of X and Y.

X = (y + 4)³ - 1

3. Find the cube root of both sides

x³ = y + 4  - 1

4. Find the value of y

x³ - 4 + 1 = y

x³ -3 = y

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Answer:

-5x - 6y

Step-by-step explanation:

Firstly,  you remove any uncessary parentheses and collect like terms.

So that becomes -8x - 6y + (3x)

Hence, the brackets can be removed, which means we can continue to collect like terms which gives the final answer of -5x - 6y

Answer:

77

Step-by-step explanation:

There are 415 third graders and 338 second grades the question is asking how many more third graders are there than second graders, so its asking for the difference between them:

415 - 338 = 77

There are 77 more third graders than second graders

Answer:

Do Y divided by X.

Step-by-step explanation:

This is normally what I do so hope I helped.

for y = 7.1x + 11.3

The score of a student who spends no time in studying

Because for zero hours, i,e when x = 0 hours, the student spends no time studying.

Substitute x = 0 in the equation

y = 7.1(0) + 11.3

y = 0 + 11.3

y = 11.3

Final answer

Option A: The score of a student who spends no time studying

Answer:

The best predicted value of y = y^= y`= 6.0

Step-by-step explanation:

The given P - value is  = 0.176

And the significance level= 0.01

Since the P-value is greater than the significance level the null hypothesis cannot be rejected telling us that there is no correlation between the attractiveness ratings of the partners.

As there is no correlation between the attractiveness ratings of the partners  the best predicted value of y (attractiveness rating by female of male) is given by mean value

y^= y`= 6.0

Solution

From the diagram

C is rotation

B is Translation

A is reflection

In every 10 minutes an average of 3 customers will arrive to the pizza station

Given,

The number of customers arriving to the pizza station follows a poisson distribution with a rate of 18 customers per hour.

We have to find the average number of customers arrives in each 10 minutes.

Here,

The chance that X represents the number of successes of a random variable in a Poisson distribution is provided by the following formula:

P (X = x) = (e^-μ × μ^x) / x!

Where,

The number of successes is x.

The Euler number is e = 2.71828.

μ is the average over the specified range.

Now,

Rate of 18 customers per hour;

μ = 18 n

n is the number of hours.

Number of customers arrive in each 10 minutes

10 minutes = 10/60 = 1/6

Then,

μ = 18 x 1/6 = 3

That is,

In every 10 minutes an average of 3 customers will arrive to the pizza station.

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Answer: 5.6 kilograms.

Step-by-step explanation:

We know that 1,000 paperclips have a mass of 1 kilogram.

Therefore, one paperclip has a mass of 1/1000 kilograms, or 0.001 kilograms.

To find out how many kilograms 5,600 paperclips have, we can multiply the mass of one paperclip (0.001 kilograms) by the number of paperclips:

0.001 kilograms/paperclip * 5,600 paperclips = 5.6 kilograms

Therefore, 5,600 paperclips have a mass of 5.6 kilograms.

The value of the probability is P(Large or Blue) = 7/10

The given parameters are represented on the table

Using the table parameters, we have

P(Large or Blue) = [(Large) + (Blue) - (Large and Blue)]/Total

This gives

P(Large or Blue) = ((17 + 8) + (17 +3) - 17)/(17 + 3 + 8 + 12)

This gives

P(Large or Blue) = 28/40

Simplify

P(Large or Blue) = 7/10

Hence, the value of the probability is P(Large or Blue) = 7/10

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The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.

The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.

Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.

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Answer:

The solution set is x ∈ ( -3 , ∞ ) .

Step-by-step explanation:

Two functions are given to us. And we have to find x such that g(x) > h(x) that is { x : g(x) > h(x)} .

So , the given functions are ,

According to Question ,

⇒ g(x) > h(x)

⇒ 6x + 7 > 3x - 2

⇒ 6x - 3x > -2 -7

⇒ 3x > -9

⇒ x > (-9)/3

⇒ x > (-3)

Hence x can have all values greater than (-3). Therefore x ∈ (-3 , ∞ ) .

Answer:

2x+5

Step-by-step explanation:

Answer:

Ok, so what you have to do is find the range of the number the way you find the range is by writing down the relation. (the relation is the set of the ordered pairs with x and y coordinates). Then you have to list the y-coordinates of the relation. The way to find the range of the relation, you simply have to write down all of the y-coordinates of each ordered pair. Also, make sure to remove any duplicate coordinates so that you only have one of each y-coordinate.

The way you find the ordered pair is by moving a certain amount of steps to the left or right on the x-axis and a certain amount of steps upwards or downwards on the y-axis.

Explanation:

I'm sorry for not giving you the actual range and the ordered pairs for each number but I have to have a graph so I can see and verify an actual answer. I hope that my explanations help you figure out what the answer is! Have a nice day! :)

Answer:

B) 8 miles

Step-by-step explanation:

30 mins is half an hour. And she ran 4 miles if you multiply both then you get 8 miles in 1 hour.

The equivalent expression of -14 - 6 is -14 - (+6)

Equivalent expressions are expressions that have the same value when evaluated

The expression is given as:

-14 - 6

Put the terms of the expression in brackets

-14 - (6)

Rewrite 6 as +6

-14 - (+6)

Hence, the equivalent expression of -14 - 6 is -14 - (+6)

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The equation of the parabola is\((y + 6)^2 = 4(x - 13)\), where the vertex is (13, -6) and the distance between the directrix and focus is 14.

To determine the equation of the parabola, we need to use the standard form for a parabola with a horizontal axis:

\((x - h)^2 = 4p(y - k)\)

Where (h, k) represents the vertex of the parabola, and p is the distance from the vertex to the focus (and also from the vertex to the directrix).

Given that the parabola opens to the right, the vertex will be on the left side. Let's assume the vertex is (h, k).

We know that the focus of the parabola is at (13, -6), so the distance from the vertex to the focus is p = 13 - h.

We are also given that the focal diameter is 28, which means the distance between the directrix and the focus is twice the distance from the vertex to the focus.

Therefore, the distance from the vertex to the directrix is d = 28/2 = 14.

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Answer:

The Probability that the spinner landed on the colors blue and green in any order = 2/9

Step-by-step explanation:

Given - Azul spun a tri-color spinner twice.

To find - What is the probability that the spinner landed on the colors blue and green in any order?

Solution -

Given that,

A tri-color spinner spun twice

So,

The Sample Space, S = {BB, BG, BY, GB, GG, GY, YB, YG, YY}

⇒n(S) = 9

Now,

Let A be an event that the spinner landed on the colors blue and green

So,

A = {BG, GB}

⇒n(A) = 2

Now,

Probability that the spinner landed on the colors blue and green in any order = n(A) ÷ n(S)

         = 2 ÷ 9

∴ we get

The Probability that the spinner landed on the colors blue and green in any order = 2/9

Andy would pay $23.94 more in finance charges compared to Brett, given their respective APRs, average daily balances, and monthly percentage rates.

To calculate the monthly percentage rate (MPR) from the given annual percentage rate (APR), we divide the APR by 12.

For Brett:

APR = 12.6%

MPR = 12.6% / 12 = 1.05%

For Andy:

APR = 16.2%

MPR = 16.2% / 12 = 1.35%

Next, we can calculate the finance charge for each individual using the formula: finance charge = average daily balance * MPR.

For Brett:

Finance charge = $7,980 * 1.05% = $83.79

For Andy:

Finance charge = $7,980 * 1.35% = $107.73

To find the difference in the finance charges between Andy and Brett, we subtract Brett's finance charge from Andy's finance charge:

Difference = $107.73 - $83.79 = $23.94

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Answer:

x = 8

Step-by-step explanation:

12 : 36

1 : 3

the distance is 3×, so

x = 26 ÷ 3

= 8

160 students ordered a yearbook.

Step-by-step explanation:

Batman, cross multiply 400×40 then divide by 100 and you get your answer.