Do you think that furthering FDA power and authority over supplement regulation would actually help make the consumer safer or do you think that FDA authority won’t help increase greater oversight and auditing for non-compliant manufacturers?

Answer:

\(\huge\boxed{\sf x = 85}\)

Step-by-step explanation:

0.2x - 6 = 11

0.2x = 11 + 6

0.2x = 17

x = 17/0.2

\(\rule[225]{225}{2}\)

Given:-

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \purple {━━━━━━━━━━━━━━━━━━━━━━━━━━━━}\)

hope it helps!

x=2/3

6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10

Answer:

2x-1=y,2y+3=x

Step-by-step explanation:

no explanation

Answer:

The circumference of the circle is approximately 19.8 centimetres.

Step-by-step explanation:

If the square has an area of 40 square centimetres, that means that the side length of the square is √40, or 2√10

The side length will be the diameter of the circle. Which is all we need to find its circumference.  The circumference of a circle is equal to pi times its diameter, so we say:

c = πd

c = 3.14 × 2√10

c = 6.28√10

c = 6.28 × 3.16

c = 19.8

The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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The range of the function shown in the graph is the set of all real numbers for y.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

The set of input values in the function is called domain and the set of output values are called range of the function.

So the range of the function will be the set of y values.

From the graph, it is clear that, the curve is passing corresponding to every y value.

In other words, if we draw a horizontal lines from curve, all the y values are touching the curve.

So the range is the set of all real numbers.

Hence the range is all the real numbers for y.

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Answer:

It is 10 x greater

Step-by-step explanation:

The leftmost 2 is 200,000 and the other 2 is 20,000.

20,000 (other 2) x 10 = 200,000 (leftmost 2)

Answer:

Step-by-step explanation:

im dimb so 26876ths place

Based on the analysis, the east edge of the basketball court could be located on the line given by either −y − 5x = 100, y + 5x = 100, or −5x − y = 50, as these lines do not intersect with the west edge.

To determine on which line the east edge of the basketball court could be located, we need to find a line that does not intersect with the west edge represented by the equation y = 5x + 2.

The slope-intercept form of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.

Comparing the equation y = 5x + 2 with the given options, we can observe that the slope of the west edge is 5.

Now let's analyze the options:

Option 1: −y − 5x = 100

By rearranging the equation to slope-intercept form, we get y = -5x - 100. The slope of this line is -5, which is not equal to the slope of the west edge (5).

Therefore, this line could be the east edge of the basketball court since it does not intersect with the west edge.

Option 2: y + 5x = 100

Rearranging the equation to slope-intercept form, we get y = -5x + 100. The slope of this line is -5, which is not equal to the slope of the west edge (5).

Thus, this line could be the east edge of the basketball court since it does not intersect with the west edge.

Option 3: −5x − y = 50

Rearranging the equation to slope-intercept form, we get y = -5x - 50. The slope of this line is -5, which is not equal to the slope of the west edge (5).

Hence, this line could be the east edge of the basketball court since it does not intersect with the west edge.

Option 4: 5x − y = 50

By rearranging the equation to slope-intercept form, we get y = 5x - 50. The slope of this line is 5, which is equal to the slope of the west edge (5).

Therefore, this line cannot be the east edge of the basketball court as it intersects with the west edge.

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the factored form of x² + x + 5 using complex numbers is (x + (1/2) + \((\sqrt{(\frac{19}{2} )\)\((x + \frac{1}{2} - (\sqrt{(\frac{19}{2} i).\)

How to solve a  factor?

The factored form of a quadratic equation of the form ax² + bx + c can be written as (px + q)(rx + s), where p, q, r, and s are constants that can be determined using the quadratic formula or other methods.

In the case of x² + x + 5, this quadratic equation cannot be factored using real numbers. The roots of the equation can be determined using the quadratic formula, which yields:

\(x = (-b ± \sqrt{(b² - 4ac)) / 2a\)

Substituting a = 1, b = 1, and c = 5, we get:

\(x = (-1 ± \sqrt{(1 - 20)) / 2\)

\(x = (-1 ± \sqrt{(-19)) / 2\)

Since the square root of a negative number is not a real number, we cannot factor x² + x + 5 using real numbers. However, we can express it using complex numbers by introducing the imaginary unit i, which is defined as the square root of -1.

The factored form of x² + x + 5 in terms of complex numbers can be written as:

\((x + \frac{1}{2} + (\sqrt{\frac{19}{2}i)}(x + (1/2) - (\sqrt{(19)/2)i)\)

Therefore, the factored form of x² + x + 5 using complex numbers is (x + (1/2) + (\(\sqrt{\frac{19}{2}i}\))(x + (1/2) - (\(\sqrt{(19)/2)i\)).

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Given:

To Determine: The value of the expression when x = - 7

Solution

Substitute x = -7 into the expression

Hence, the value of the expression is 138, OPTION A

Answer:

simple - 1/21 chance

Step-by-step explanation:

since its asking for the probability of "a" marble, and not all the green marbles, you add everything up and slap what outcome (1 in this case) on top of the 21

here is cat

Answer:

3 is for green marbles

21 is the total of all marbles

Step-by-step explanation:

you only have 1 event so I think we don't need some formula or something

the formula is this if the event A and B has no intersection P( A U B)= P(A)+P(B)

and if it has intersection, the formula is like this P( A ∩ B)=P(A)+P(B)-P( A ∩ B)

Answer:

y-intercept= (0,7) and rate of change=

Step-by-step explanation:

The y-intercept of a graph is the point on the graph where it intersects the y-axis or where x=0. In this case it is (0,7) so that is the y-intercept. The rate of change is equal to y2-y1 divided by x2-x1. Basically, just pick 2 random points on the line and subtract their y coordinates, then subtract their x-coordinates and divide the answers with each other. So, one point is (0,7) and another point is (2,4). Therefore, rate of change is 7-4 divided by 0-2. This gives us a rate of change of -3/2

Answer:-56x

Step-(7x-4)(7x-4)

49x^2-28x-28x+16by-step explanation:

The value of missing number that makes the expression a perfect square is,

⇒ 56

We have to given that,

An expression is,

⇒ 49x² - _x + 16

Now, We can find the missing number that makes the expression a perfect square.

Since, We know that,

⇒ (a + b)² = a² + 2ab + b²

Now, We can simplify as,

⇒ 49x² - _x + 16

⇒ (7x)² - 2×4×7x + (4)²

⇒ (7x)² - 56x + (4)²

⇒ 49x² - 56x + 16

Thus, The value of missing number is,

⇒ 56

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The volume of the cone is approximately 37.7 cubic units

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the volume of a cone, we use the formula:

V = (1/3) * π * r² * h

where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.

Plugging in the given values, we get:

V = (1/3) * 3.14 * 3² * 4 ≈ 37.7

Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).

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(a) A monotonic transformation of a utility function refers to a transformation that preserves the relative ranking of utility levels but does not change the underlying preferences. It involves applying a strictly increasing function to the original utility function.

(b) The indifference curves for utility levels u(x1, x2) = 10, u(x1, x2) = 20, and u(x1, x2) = 30 can be drawn based on the utility function u1(x1, x2) = 6x1 + 9x2. These curves represent combinations of goods (x1, x2) that provide the same level of utility.

(c) Similarly, the indifference curves for utility levels u(x1, x2) = 10, u(x1, x2) = 20, and u(x1, x2) = 30 can be drawn based on the utility function u2(x1, x2) = 2x1 + 3x2.

(d) u1(x1, x2) is a monotonic transformation of u2(x1, x2) because it involves multiplying the utility function u2 by a positive constant. Both utility functions describe the same preferences as they represent different linear transformations of the same underlying preferences, resulting in parallel but equally informative indifference curves.

(a) A monotonic transformation of a utility function is a transformation that does not alter the preferences of an individual. It involves applying a strictly increasing function to the original utility function. This transformation preserves the ranking of utility levels, meaning that if one combination of goods gives higher utility than another in the original function, it will still give higher utility in the transformed function.

b) For the utility function u1(x1, x2) = 6x1 + 9x2, we can draw indifference curves for utility levels u(x1, x2) = 10, u(x1, x2) = 20, and u(x1, x2) = 30. These curves represent all the combinations of goods x1 and x2 that provide the same level of utility according to the utility function u1.

(c) Similarly, for the utility function u2(x1, x2) = 2x1 + 3x2, we can draw indifference curves for utility levels u(x1, x2) = 10, u(x1, x2) = 20, and u(x1, x2) = 30. These curves represent the combinations of goods x1 and x2 that provide the same level of utility according to the utility function u2.

(d) u1(x1, x2) is a monotonic transformation of u2(x1, x2) because it involves multiplying the utility function u2 by a positive constant. Both utility functions describe the same preferences as they represent different linear transformations of the same underlying preferences. The indifference curves for both utility functions are parallel but equally informative, meaning they represent the same ranking of utility levels. Therefore, u1(x1, x2) and u2(x1, x2) can describe the same preferences.

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Answer:

the answer is 30

Step-by-step explanation:

the mid-segment of a triangle is half of the side that is parallel to it

mid-segment MJ is parallel to line LK

LK is 60, half of 60 is 30

MJ is 30

Answer:

d = dependant; t = independant

Step-by-step explanation:

The d value is dependant on the t value, therefore it is the dependant. The t is the only valuable that can be changed in the equation, therefore being the independant.

Answer:

\(D\) = dependent; \(t\) = independent

Step-by-step explanation:

\(D\) is the independent variable since its value relies/depends on the value of \(t\).

\(t\) is the independent variable since it is the input variable which can be changed.

Hope this helps :)

Answer:

45

Step-by-step explanation:

they only asked for the hours

Answer:

45 or 150 with boat. Hope it helps!

The correct answer to the question "z scores that fall below the mean are" is "negative". Z-scores are measures of relative standing that can be used to make comparisons among the scores in the distribution by transforming raw data into standardized units.

The formula for z-score is:z = (X-μ)/σz-scores can be negative, zero, or positive numbers. A negative z-score tells us that the corresponding score is below the mean and vice versa.In addition to this, the mean of all z-scores is always zero. If the mean of all z-scores is zero, that means that z-scores are measuring deviation from the mean. If a z-score is below the mean, it means that the corresponding raw score is below the mean, which results in a negative z-score.

Z-scores that fall below the mean are negative. Z-scores are statistical values that allow analysts to transform raw data into standardized units that make comparisons possible among scores in the distribution. The formula for calculating the z-score is: z = (X-μ)/σThe z-score can be either negative, zero, or positive, depending on whether the value is below, equal to, or above the mean, respectively. Because the mean of all z-scores is always zero, z-scores can be used to measure deviation from the mean, with a negative z-score indicating that the corresponding raw score is below the mean. Z-scores allow us to compare the scores in the distribution by converting them into standard units. Negative z-scores are associated with scores that are below the mean. Conversely, positive z-scores are associated with scores that are above the mean.

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Answer:

10 yards (Add label!!)

Step-by-step explanation:

5x1/2=10

Clare can make 10 bows with ribbon.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Clare has 5 yards of ribbon.

It takes 1/2 yard to make a bow.

The number of bows = 5 ÷ 1/2 {division equation}

The number of bows = 5 x 2/1 = 10 {multiplication equation}

Therefore, the number of bows is 10.

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Answer:

the right answer is three ok your welcome

Answer:

It is option 4

Answer:

Exact form = 1/49

Step-by-step explanation:

Decimal form = 0.02

Hope this helps! :)

Answer:

\(\frac{1}{7}^{2} = \frac{1}{49}\)

Step-by-step explanation:

The power of the 2 means to multiply it two times itself.

Example: 7^2 = 7 * 7 = 49

Apply that to a faction.

\(\frac{1}{7}^{2} =\frac{1}{7} *\frac{1}{7} = \frac{1}{49}\)

The number of students who passed the examination is 152.

Given: Marks distribution in Mathematics

To Find: Plot an ogive, the median, the number of students who scored distinction marks (75% and above), and the number of students who passed the examination if the pass marks are 35%.

Solution:

Marks Number of students

Less than 10 7

Less than 20 28

Less than 30 54

Less than 40 71

Less than 50 84

Less than 60 105

Less than 70 147

Less than 80 180

Ogive:

An ogive is a graph that represents the cumulative frequency distribution of a set of data. To plot an ogive, we plot the upper limits of each class on the x-axis and the corresponding cumulative frequency on the y-axis. We then join the points with a free-hand smooth curve to obtain the ogive.

Median:

To find the median from the graph, we draw a line from the value of 50 on the y-axis to the ogive curve and then drop it down to the x-axis. The point where the line intersects the x-axis gives us the median. In this case, the approximate median value from the graph is 52.

The number of students who scored distinction marks:

To find the number of students who scored distinction marks (75% and above), we first calculate 75% of the total number of students, which is 0.75 x 180 = 135.

From the ogive graph, we see that the number of students who scored less than 75% marks is 105.

Therefore, the number of students who scored 75% or more marks is 180 - 105 = 75.

The number of students who passed the examination:

To find the number of students who passed the examination if the pass marks are 35%, we first calculate 35% of the total number of students, which is 0.35 x 180 = 63.

From the ogive graph, we see that the number of students who scored less than 35% marks is 28.

Therefore, the number of students who passed the examination is 180 - 28 = 152.

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The probability that Bob is the last customer to leave the post office comes out as (1 - e^(-λx))^2. The probability that Bob is the last customer to leave the post office can be calculated using the exponential distribution formula.

The exponential distribution is a continuous probability distribution used to model the time between events in a Poisson process. The formula for the exponential distribution is: P(X=x) = λe^(-λx)

Where X is the random variable representing the time between events, λ is the rate parameter, and e is the base of the natural logarithm.


P(Bob is the last customer to leave) = P(Bob's serving time > Alice's serving time) * P(Bob's serving time > Claire's serving time). Since the serving times follow an exponential distribution with parameter λ, we can use the formula to calculate the probabilities:

P(Bob's serving time > Alice's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)
P(Bob's serving time > Claire's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)

P(Bob is the last customer to leave) = (1 - e^(-λx))^2
Therefore, the probability that Bob is the last customer to leave the post office is (1 - e^(-λx))^2.

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The equation of the new function g(x) is g(x) = 2 - |x+2|

Transformation is. way of changing the position of an object on an xy-plane.

Given the parent function  f(x) = |x+3|.

If the function is translated 2 units down and 1 unit right, then the resulting function will be |x+3 - 1| - 2 which is equivalent to  |x+2| - 2

The reflection of the resulting function across the x-axis is given as:

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

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

Hence the new function g(x) if the parent function undergo the transformation is g(x) = 2 - |x+2|

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The calculated value of the rocket's greatest height is 196 feet

From the question, we have the following parameters that can be used in our computation:

height function,  h(t) =-16t² + 80t + 96

So, we have

h(t) =-16t² + 80t + 96

The maximum value of t is calculated as

t = -b/2a

So, we have

t = -80/(2 * -16)

Evaluate

t = 2.5

The rocket's greatest height is at t = 2.5

So, we have

h(2.5) =-16(2.5)² + 80(2.5) + 96

Evaluate

h(2.5) = 196

Hence, the rocket's greatest height is 196 feet

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Answer:

\(\sqrt{22.25}\)

Step-by-step explanation:

4 ^ 2  is 16

2.5 ^ 2 is 6.25

16 + 6.25 is 22.25

The square root of 22.25 is undefined so...

\(\sqrt{22.25}\)

Answer:

11.2

Step-by-step explanation:

3.2 / 0.66 = 4.8484...

3.2 + 3.2 + 4.8484... = 11.24848...

= 11.2 (rounded)

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The completely factored form of the polynomial is 7x² (x + 6) (x - 4)

Given,

The polynomial ; 7x⁴ + 14x³ - 168x²

We have to find the complete factored form of this polynomial;

Polynomial;

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Here,

The polynomial is  7x⁴ + 14x³ - 168x²

Now,

Factorize the polynomial using common factors;

That is,

7x⁴ + 14x³ - 168x²

7x² (x² + 2x - 24)

Solve x² + 2x - 24 using quadratic formula;

That is,

\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\) = \(\frac{-2(+-)\sqrt{2^{2} -4*1*-24} }{2*1}\) = \(\frac{-2(+-)\sqrt{4-96} }{2}\) = -2±√-92 / 2

Now,

Solve

-2 + √-92 / 2 = 3.79 ≈ 4

Solve

-2 - √-92 / 2 = -5.79 ≈ -6

Then,

The factors will be (x - 4) and (x + 6)

So,

7x² (x + 6) (x - 4) will be the factored form of the polynomial.

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