For the function f(x)= x^1/2 – 7, find f^-1(x).

Answer

-0.5; -0.9;-0.66049345252453235

Step-by-step explanation:

math

There were 60 jelly beans in the unopened bag of jelly beans.

Let's work through the problem step by step to find the original number of jelly beans in the bag.

John ate three-fourths of the jelly beans.

This means that he consumed 3/4 of the total number of jelly beans, leaving 1/4 of the original amount.

Mike then ate two-thirds of the remaining jelly beans.

Since 1/4 of the original amount was left after John, Mike ate 2/3 of this remaining 1/4.

To find out how much is left, we need to calculate \((\frac{1}{4} )\times (\frac{2}{3} )\).

\((\frac{1}{4} )\times(\frac{2}{3} )=\frac{2}{12} =\frac{1}{6}\)

Mike ate 1/6 of the original amount, leaving 1/6 of the original amount.

Finally, Fred ate the ten jelly beans that were left.

We know that these ten jelly beans represent 1/6 of the original amount.

Let's calculate how many jelly beans are equal to 1/6.

\(\frac{1}{6} = 10\) jelly beans

Now, we can determine how many jelly beans are equal to 6/6 (the whole).

\(\frac{1}{6} \times6=10\times6=60\) jelly beans

Therefore, there were 60 jelly beans in the unopened bag of jelly beans.

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Drawing every single square may not be necessary, as you can use the pattern of the previous figures to predict the placement of the squares in the final figure. This can save time and effort, while still achieving the desired outcome.

To answer your question, if you were to combine the first 100 figures, you would end up with a much larger figure consisting of 100 squares in each row and column, resulting in a total of 10,000 squares. However, you do not need to draw every square to sketch the final figure.
To sketch the final figure, you would start by drawing a square grid of 100 squares in each row and column, similar to the previous figures. Then, you would need to fill in the squares based on the pattern of the previous figures.
Assuming you drew each square in the previous figures, combining the first 100 figures would result in drawing a total of 100 x 100 x 100 squares, which equals 1,000,000 squares. This is because each figure consists of 100 squares, and there are 100 figures being combined.
However, drawing every single square may not be necessary, as you can use the pattern of the previous figures to predict the placement of the squares in the final figure. This can save time and effort, while still achieving the desired outcome.

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Answer:

Chile anyways so-

Step-by-step explanation:

Answer:

Anyways-

Step-by-step explanation:

Answer:

Exponential Regression. An exponential regression is the process of finding the equation of the exponential function that fits best for a set of data. As a result, we get an equation of the form y=abx where a≠0 .

Step-by-step explanation:

Answer:

125 questions

Answer:

125 questions

Step-by-step explanation:

Answer:

soowwwyyy for bad handwriting;(

Answer:

Each friend would get 24 marbles.

Step-by-step explanation:

Firstly, you would want to divide 216 by 3. That is 72. Next you would want to divide 72 by 3, because there are 3 best friends. So 72 divided by 3 equals 24. I hope this helps.

A quadrilateral is a polygon with four sides. It is a two-dimensional shape formed by connecting four non-collinear points. The perimeter of the quadrilateral is 20 units.

The angles of a quadrilateral can vary, and it can have sides of different lengths. Examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses.

Quadrilaterals have certain properties and characteristics. Some common properties include:

Interior angles: The sum of the interior angles of a quadrilateral is always equal to 360 degrees.

Diagonals: A quadrilateral has two diagonals, which are line segments connecting opposite vertices. The diagonals of some quadrilaterals are perpendicular, while in others they intersect at a point inside the shape.

To find the perimeter of a quadrilateral with vertices at c (-2, 1), d (2, 4), e (5, 0), and f (1, -3), you can use the distance formula. The distance formula is given by:

d = √((x2 - x1)² + (y2 - y1)² )

So, let's calculate the distances between the vertices:

Distance between c and d:
d_cd = √((2 - (-2))² + (4 - 1)² )

Distance between d and e:
d_de = √((5 - 2)²  + (0 - 4)² )

Distance between e and f:
d_ef = √((1 - 5)² + (-3 - 0)² )

Distance between f and c:
d_cf = √((-2 - 1)²  + (1 - (-3))² )

Now, we sum the lengths of all four sides to find the perimeter:

Perimeter = CD + DE + EF + FC = 5 + 5 + 5 + 5 = 20

Therefore, the perimeter of the quadrilateral is 20 units.

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Answer:

Below

Step-by-step explanation:

3% loss means 97% (.97 in decimal ) remains

after 2 years :

 27 900 ( .97)^2 = £  26251 .11

Order of operations (from high priority to low priority):

Parentheses

Exponents

Multiplications/Division

Addition/Subtraction

All in left to right.

2 ÷ (5 + 3)⁻¹ ÷ 4

2 ÷ (8)⁻¹ ÷ 4

2 ÷ 1/8 ÷ 4

16 ÷ 4

= 4

Answer:

the answer is 0

Step-by-step explanation:

because anything multiply by 0 is 0.

Can make me the brainliests answerer?Please

Dee invested $7000 in 9.5% account and $3125 in 4% account.

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

Here, we have,

formula: I = Prt.

Suppose Dee invests "x" dollars in 9.5% interest paying account and "y" dollars in 4% interest paying account.

Total Invested = $ 10,125

Thus, we can write:

x + y = 10125

Simple Interest earned is given by the formula

i = prt

Where

i is the interest earned,

P is the amount invested in the account,

r is the rate of interest in decimal

t is the time in years

now,

• For 9.5% account, we can say that the interest earned is:

i = x*0.095*2

 =0.19x

• For 4% account, we can say that the interest earned is:

i= y*0.04*2

=0.08y

The total interest earned is 1580, thus we can form the second equation:

0.19x+0.08y = 1580

Solving the first equation for x gives us:

x+y = 10125

Now, we substitute this into the second equation and solve for y first:

0.19(10125-y) + 0.08y = 1580

solving we get, y = 3125

Using this value of y, we can easily figure out the value of x.

x = 10125 - 3125

i.e. x = 7000

So,

Dee invested $7000 in 9.5% account and $3125 in 4% account.

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The cost of each white led lights and colored led lights is $12 and $15 respectively.

Let

w + c = 27

3w + 2c = 66

From (1)

w = 27 - c

Substitute w = 27 - c into (2)

3w + 2c = 66

3(27 - c) + 2c = 66

81 - 3c + 2c = 66

- 3c + 2c = 66 - 81

- c = - 15

c = 15

Substitute c = 15

w + c = 27

w + 15 = 27

w = 27 - 15

w = 12

In conclusion, the task content can be solved using the concept of simultaneous equation.

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the claim aligns with the null hypothesis, as both assert the absence of an effect, difference, or relationship between variables.

The claim and the null hypothesis are the same when the claim being made is that there is no significant difference or relationship between variables or that there is no effect or impact of a particular factor. In other words, the claim asserts that the null hypothesis is true.

For example, if the null hypothesis (H₀) states that there is no difference between the means of two groups, the corresponding claim would be that the means are indeed equal. Similarly, if the null hypothesis states that there is no correlation between two variables, the claim would be that there is indeed no significant correlation.

In such cases, the claim aligns with the null hypothesis, as both assert the absence of an effect, difference, or relationship between variables.

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Let it be x

Using angle sum theory

\(\\ \sf\longmapsto 50+30+x=180\)

\(\\ \sf\longmapsto 80+x=180\)

\(\\ \sf\longmapsto x=180-80\)

\(\\ \sf\longmapsto x=100\)

According to the Wendell's calculations, the real area of rhombus is (b × h) square units.

The term rhombus refers a special case of a parallelogram which has all sides are equal and diagonals intersect each other at 90 degrees.

Here we need to find the real area of rhombus according to Wendell's calculations.

The area of rhombus is calculated by finding the product of its base and corresponding altitude which is none other than the height.

Therefore, Area of rhombus = base × height = (b × h) square units.

Where b refers the base of rhombus and h refers the altitude or height of rhombus.

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When considering one-way mileages for trails to different lakes, the following average(s) would make sense: arithmetic mean and median. The arithmetic mean, or simply the average, would be a suitable measure to consider when calculating the average one-way mileage for trails to different lakes.

It is calculated by summing up all the mileages and dividing them by the total number of trails. This average provides a balanced representation of the overall trail lengths, taking into account both shorter and longer distances. It can be useful for general comparisons and understanding the overall average trail length.

Additionally, the median would also be a relevant measure to consider. The median represents the middle value in a set of data when arranged in ascending order. In the context of one-way mileages for trails, the median would indicate the midpoint or the distance at which half of the trails are longer and half are shorter. This measure is particularly useful when there are extreme values or outliers in the data, as it is not affected by such extreme values. The median can provide a better representation of the typical trail length and help mitigate the influence of outliers on the average.

By considering both the arithmetic mean and the median, one can obtain a comprehensive understanding of the distribution of one-way mileages for trails to different lakes. The mean gives an overall average, while the median provides insights into the central tendency of the data, particularly when extreme values are present. Together, these measures offer a well-rounded perspective on the average trail lengths and help in making informed decisions or comparisons related to the trails and lakes.

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Answer:

I think that the answer is 2 power n , so A is the correct choice .

The most accurate results write-up for a one-way ANOVA in this scenario is option b:

b. F(2, 102) = 4.21, p = .02, eta2 = .30

This write-up provides the necessary information for the one-way ANOVA results.

It includes the F-statistic, degrees of freedom for both the numerator and denominator (2 and 102, respectively), the p-value indicating the significance level of the test (.02), and the effect size measure eta-squared (η2) which is calculated as .30.

The F-statistic is used to test the overall significance of the differences between the spider fear condition and the rat and dog fear conditions.

The p-value (.02) indicates that there is a significant difference among the groups.

The effect size measure eta-squared (.30) indicates the proportion of variance in the dependent variable that can be attributed to the independent variable (condition).

Therefore, option b accurately summarizes the results of the one-way ANOVA analysis.

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The required solution to the given inequality is x < 7/4.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Given that,
To determine the simplified solution of the inequality 1/2x−1/4 < 5/8.
1/2x−1/4<5/8 .

Adding 1/4 on both sides of the equality,

1/2x < 5 / 8 + 1 / 4
Multiply by 2 on both sides of equality,
1 / 2x < 7 / 8
x < 7 / 4

So, the solution of inequality lies x greater than 7/4, as of the given conditions.

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The final number remaining in this sequence is the number 2.

We start with the first 300 natural numbers written in ascending order. We remove the numbers at odd places, which means we remove all the numbers at positions 1, 3, 5, and so on.

After the first removal, we are left with the numbers at even positions: 2, 4, 6, and so on.

Now, we repeat the process and remove the numbers at odd positions again. We remove numbers at positions 1, 3, 5, and so on from the remaining sequence.

After the second removal, we are left with the numbers at even positions again: 4, 8, 12, and so on.

We can observe that in each removal, the sequence reduces to half its size, and we are left with the numbers at even positions.

Continuing this process, we will eventually reach a point where we have only one number left.

Since we start with 300 numbers, after the first removal, we have 150 numbers. After the second removal, we have 75 numbers. After the third removal, we have 38 numbers. After the fourth removal, we have 19 numbers. After the fifth removal, we have 10 numbers. After the sixth removal, we have 5 numbers. After the seventh removal, we have 3 numbers. After the eighth removal, we have 2 numbers. Finally, after the ninth and last removal, we are left with a single number.

Therefore, the final number remaining in this sequence is the number 2.

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There are 42 teachers 30 male 12 female. 30:12.  male teachers to the total number of teachers 42:30. total of teachers to the female teachers 42:12

Deal 2 is more advantageous as its present value, considering the time value of money at an 8% interest rate, is lower than deal 1, making it a better option.



To determine which deal is more advantageous, we need to calculate the present value of the cash flows for each deal using the formula:

PV = CF / (1 + r)^n   ,  Where PV is the present value, CF is the cash flow, r is the interest rate, and n is the number of periods.In deal 1, you pay $15,100 today, so the present value is simply $15,100.

In deal 2, you have three cash flows: $10,000 today, $4,000 in one year, and $2,000 in two years. To calculate the present value, we use the formula for each cash flow and sum them up:

PV1 = $10,000 / (1 + 0.08)^1 = $9,259.26

PV2 = $4,000 / (1 + 0.08)^2 = $3,539.09

PV3 = $2,000 / (1 + 0.08)^3 = $1,709.40

PV = PV1 + PV2 + PV3 = $9,259.26 + $3,539.09 + $1,709.40 = $14,507.75

Comparing the present values, we find that the present value of deal 2 is lower than deal 1. Therefore, deal 2 is more advantageous as it requires a lower total payment when considering the time value of money at an 8% interest rate.

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Answer:

QR = 15

Step-by-step explanation:

The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.

(QR+5) *5 = 10^2

(QR+5) *5 = 100

Divide each side by 5.

(QR+5) *5/5 = 100/5

(QR+5)  = 20

Subtract 5 from each side.

QR = 20-5

QR = 15

Answer:

5x+10y

Step-by-step explanation:

to expand we distribute each term with 5

5(x)+5(2y)

5x+10y

Hopes this helps please mark brainliest

Answer: 5x + 10y

Step-by-step explanation:

Re-order terms so constants are on the left

(x+2y)x5

5(x+2y)

Distribute

5(x+2y)

5x+10y

Answer:

Option b

When prime factorizing you get 2 to be common and 5 and 2 (which makes 10) to be odd.

Therefore the answer is \(2\sqrt{10}\)

Answer:

19.2

Step-by-step explanation:

You use the pyth.

15^2+12^2=369

Then find the square root of 392 which is 19.2

I hope this helps! have a good day :)

The length of the diagonal of the screen is 19.2 inches

What is the diagonal of a rectangle?

The diagonal of a rectangle is calculated by the formula

From the Pythagoras Theorem , The hypotenuse² = base² + height² , and

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

Given data ,

The length of the screen of the monitor is L = 15 inches

The width of the screen of the monitor is W = 12 inches

Now ,

The diagonal of the screen of the monitor is calculated by ,

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

So ,

Substituting the value of length L and width W , we get

Diagonal of the screen = √ ( 15 )² + ( 12 )²

                                      = √ ( 225 ) + ( 144 )

                                      = √ 369

                                      ≈ 19.209 inches

Therefore , the diagonal of the screen is 19.209 inches

Hence , The length of the diagonal of the screen is 19.2 inches

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After adding and subtracting the rational expressions , the simplified rational expression is 4x - 4/x² - 5/x³ + 9  .

We first simplify each expression inside the parentheses :

that means :

⇒ (2x + 5/x² -3x) = (2x - 3x + 5/x²) = (-x + 5/x²) ;

⇒ (3x + 5/x³ - 9x) = (-6x + 5/x³)  ;

⇒ (x + 1/x² - 9) = (-9 + x + 1/x²)  ;

Now we substitute these expressions into original equation/expression :

we get ; (-x + 5/x²) - (-6x + 5/x³) - (-9 + x + 1/x²)

Simplifying further ,

we get ;

⇒ -x + 5/x² + 6x - 5/x³ + 9 - x - 1/x²  ;

On Combining the like terms, we get ;

⇒ 4x - 4/x² - 5/x³ + 9

Therefore, the simplified rational expression is 4x - 4/x² - 5/x³ + 9.

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The given question is incomplete , the complete question is

Adding and subtracting rational expressions, Simplify the rational expression  (2x + 5/x² -3x) - (3x + 5/x³ - 9x) - (x + 1/x² - 9)  .