there are seven days how many days are there in 16 weeks

To simplify the given expression, factor out the common factors from the denominator and rewrite the expression using the factored form.

To simplify the given expression, we first need to simplify the denominator. This can be done by factoring out a common factor of 4 from each term:

(4a + 2)(2a - 3)

Next, we can rewrite the expression using the factored form:

1 / (4a + 2)(2a - 3)

This is the simplified form of the given expression.

The answer is c. [tex]$\frac{\sqrt[3]{20 x}}{5}$[/tex]

Separate the cube root: We can break down the cube root of a fraction into the cube root of the numerator divided by the cube root of the denominator:

[tex]\sqrt[3]{\frac{4 x}{5}} = \frac{\sqrt[3]{4 x}}{\sqrt[3]{5}}[/tex]

Simplify the cube root of 5: Since 5 is a perfect cube (5 = 1 * 5 * 5), its cube root is simply 5:

[tex]\frac{\sqrt[3]{4 x}}{\sqrt[3]{5}} = \frac{\sqrt[3]{4 x}}{5}[/tex]

Rationalize the denominator: To make the expression look more simplified, we can eliminate the cube root in the denominator. We do this by multiplying both the numerator and denominator by the cube root of 5:

[tex]\frac{\sqrt[3]{4 x}}{5} \times \frac{\sqrt[3]{5}}{\sqrt[3]{5}} = \frac{\sqrt[3]{4 x} \times \sqrt[3]{5}}{5 \times \sqrt[3]{5}}[/tex]

This simplifies to:

[tex]\frac{\sqrt[3]{20 x}}{5}[/tex]

Therefore, the simplified form of the expression is [tex]$\frac{\sqrt[3]{20 x}}{5}$[/tex].

Complete Question:

What is the simplified form of the following expression?

[tex]\sqrt[3]{\frac{4 x}{5}}[/tex]

a. [tex]$\frac{\sqrt[3]{4 x}}{5}$[/tex]

b. [tex]$\frac{\sqrt[3]{20 x}}{5}$[/tex]

c. [tex]$\frac{\sqrt[3]{100 x}}{5}$[/tex]

d. [tex]$\frac{\sqrt[3]{100 x}}{125}$[/tex]

To get the radius of a circle in terms of circumference, divide the formula for the circumference by 2π, thus r=C/(2π). The correct option is C: r=C/2(3.14), considering 3.14 is the approximate value of π.

The formula for the circumference of a circle is given by C=2πr. We are asked to rearrange this formula to make the radius (r) the subject of the formula. To achieve this, we divide both sides of the equation by 2π.

So, dividing both sides of the equation by 2π gives r=C/(2π).

Looking at your options, Option C: r=C/2(3.14), is correct if we consider 3.14 to be the value of π. Therefore, the radius of a circle in terms of the circumference is given by r=C/(2π).

https://brainly.com/question/40333765

#SPJ12

Answer:

the required probability = 0.25

Step-by-step explanation:

Mean = 700 minutes , Standard Deviation = 120 minutes

To find : the probability that more than 940 minutes were used.

Solution : First find the z-score for 940 minutes and then find the area under the curve to the right of associated standard deviations from the mean.

[tex]z-score=\frac{\mu_2-\mu_1}{\sigma}\\\\\mu_1=700,\mu_2=940,\sigma=120\\\\\implies z-score=\frac{940-700}{120}\\\\\implies z-score=2[/tex]

Now, calculate the area under the curve to the right of 2 standard deviations from the mean.

Take confidence level to be 95%.

The area to the right of 2 standard deviations is 0.5 that is half the area under the standard normal curve.

[tex]\implies Area < \frac{0.95}{2}\\\\\implies Area<0.475[/tex]

Now, to find the probability that more than 940 minutes were used = 0.5 - 0.475 = 0.25

Hence, the required probability = 0.25

The total gross pay for the month is $3,930.80 if Frank's Factories has a staff of salespeople like Anthony, who receives a monthly salary of $2,750.00.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Frank's Factories has a staff of salespeople like Anthony, who receives a monthly salary of $2,750.00 plus an incremental commission based on the table below. If he sells $27,300.00,

Fixed monthly salary = $2,750.00

First commission = 4.1% of 15,000 = $615.00

Second commission = 4.6% of (27300 - 15000) = $565.00

Total gross pay for the month = $2,750.00 + $615.00 + $565.80

= $3,930.80

Thus, the total gross pay for the month is $3,930.80 if Frank's Factories has a staff of salespeople like Anthony, who receives a monthly salary of $2,750.00.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

To calculate Anthony's total gross pay for the month, consider his base salary and incremental commission based on sales, resulting in a total gross pay of $4,934.00.

To calculate Anthony's total gross pay for the month, we need to consider his base salary and incremental commission based on sales.

Base salary: $2,750.00

Commission on $27,300.00 sales: Using the incremental commission table, the commission percentage for sales between $27,194-$31,479 is 8%. Thus, commission = $27,300.00 * 8% = $2,184.00

Total gross pay = Base salary + Commission = $2,750.00 + $2,184.00 = $4,934.00

Answer:

g(x) = |2(x+5)|

Step-by-step explanation:

To translate a function left 5 units, replace x with (x+5). In this function, that means

  2x ⇒ 2(x+5) . . . . . matches the last choice

Answer:

Step-by-step explanation:

A rolling pin has a cylindric shape, which is a revolution surface. This means that the rolling pin is symmetric about a line or axis, therefore, it can be rotated around it.

A rolling pin has rotational symmetry about its longitudinal axis, making it the correct answer, while a car, a set of rectangular stairs, and a stapler do not demonstrate this symmetry.

The question relates to the concept of rotational symmetry in three-dimensional objects, which is a part of the study of Physics, specifically dealing with rotational motion. The answer to which of the listed objects has rotational symmetry about a line is C. a rolling pin. A rolling pin has rotational symmetry because when it rotates about its longitudinal axis, its appearance is unchanged after a certain angle of rotation. In contrast, objects like a car, a set of rectangular stairs, and a stapler do not exhibit this symmetry because their appearance changes visibly when they are rotated about any line.

16.3 - (-4.2) +15.9 =

16.3 + 4.2 + 15.9 =

36.4

Line s, being the perpendicular bisector of JK, must be perpendicular to JK at point L, making JL equal to KL and meaning that point L is the midpoint of JK.

If line s is the perpendicular bisector of segment JK and intersects it at point L, we can determine several truths about the geometric relationship between these elements:

Statements C and E are incorrect. Line s cannot be parallel to JK as it intersects it, and a 180° angle refers to a straight line, not the angle formed by a perpendicular intersection.

Answer:

The median age is 9 years old

Step-by-step explanation:

We can find the median by getting the average of the center number of the middle two numbers

8 and 10 are the two middle numbers in this scenario.  8 + 10 = 18

18/2 = 9

About 5 11/22 pinewood derby cars can be displayed side-by-side on a shelf that is 31 1/2 inches long.

To find out how many pinewood derby cars can be displayed side-by-side on a shelf, we need to divide the length of the shelf by the width of each car. The shelf is 31 1/2 inches long, and each car can be at most 2 3/4 inches wide. So we divide 31 1/2 by 2 3/4:

Therefore, about 5 11/22 pinewood derby cars can be displayed side-by-side on the shelf.

https://brainly.com/question/14246823

#SPJ3

the only one that applies is:

Sara runs 14 miles every 4 days = 7 miles every 2 days = 7/2

The graph of the function f(x) = x² + 2x − 6 is an upward-opening parabola with the vertex at (-1, -7) and a y-intercept at (0, -6). There are no asymptotes for this quadratic function.

To find the graph of the function f(x) = x² + 2x − 6, we need to look at the characteristics of this quadratic equation. This is a parabola that opens upward because the coefficient of x² is positive. We can find the vertex of this parabola by using the formula -b/2a for the x-coordinate of the vertex.

Here, a = 1 and b = 2. Applying the formula, we get the x-coordinate of the vertex as -b/2a = -2/(2×1) = -1. Now, we plug this value back into the function to get the y-coordinate of the vertex: f(-1) = (-1)² + 2(-1) − 6 = 1 - 2 - 6 = -7. Therefore, the vertex of the parabola is at (-1, -7). The parabola will intersect the y-axis when x = 0, which gives us the y-intercept f(0) = -6. No asymptotes are present in this quadratic function.

The graph of f(x) is symmetrical about the line x = -1 and has a y-intercept at (0, -6). The vertex at (-1, -7) is the lowest point on the graph since the parabola opens upwards. Thus, we are looking for a graph with these characteristics to represent the function f(x) = x² + 2x − 6.