Dylan looked at the function\(f(x) = 4( \frac{1}{2} )^{x} \)and said, "This function is always greater than 0, so 0 is the absolute minimum." Explain why Dylan is incorrect.

The range, variance, and standard deviation of the F-scale measurements from the tornadoes listed the data set available below are:Range ≈ 4Variance ≈ 1.9177Standard deviation ≈ 1.3857

Range of F-scale measurements: To find the range, we need to calculate the difference between the maximum and minimum values. Here are the maximum and minimum values: F SCALE4 1 2 3 2 2 0 0 0 0 1 3 0 3 1 0 0 0 0 0 0 1 0 1 4 3 0 1 1 1 1 0 0 1 1 1 1 2 0 1 2 0 4 0 1 0 3 0So, the maximum value is 4 and the minimum value is 0.Range= 4-0=4Variance of F-scale measurements :The formula for calculating the variance is:σ² = Σ(x-μ)² / nwhere,Σ means “sum”μ means “average” n means “number of values” First, let's calculate the average.μ = Σx / nwhere,Σ means “sum”n means “number of values” The sum of the values is:4+1+2+3+2+2+0+0+0+0+1+3+0+3+1+0+0+0+0+0+0+1+0+1+4+3+0+1+1+1+1+0+0+1+1+1+1+2+0+1+2+0+4+0+1+0+3+0=44The number of values is: n = 47So, the average is:μ = 44 / 47μ ≈ 0.936The sum of the squared differences is:(4-0.936)² + (1-0.936)² + (2-0.936)² + (3-0.936)² + (2-0.936)² + (2-0.936)² + (0-0.936)² + (0-0.936)² + (0-0.936)² + (0-0.936)² + (1-0.936)² + (3-0.936)² + (0-0.936)² + (3-0.936)² + (1-0.936)² + (0-0.936)² + (0-0.936)² + (0-0.936)² + (0-0.936)² + (0-0.936)² + (0-0.936)² + (1-0.936)² + (0-0.936)² + (1-0.936)² + (4-0.936)² + (3-0.936)² + (0-0.936)² + (1-0.936)² + (1-0.936)² + (1-0.936)² + (1-0.936)² + (0-0.936)² + (0-0.936)² + (1-0.936)² + (1-0.936)² + (1-0.936)² + (1-0.936)² + (2-0.936)² + (0-0.936)² + (1-0.936)² + (2-0.936)² + (0-0.936)² + (4-0.936)² + (0-0.936)² + (1-0.936)² + (0-0.936)² + (3-0.936)² + (0-0.936)²≈ 90.1618Therefore,σ² = Σ(x-μ)² / n = 90.1618 / 47σ² ≈ 1.9177Standard deviation of F-scale measurements: The standard deviation is the square root of the variance.σ = sqrt(σ²)σ = sqrt(1.9177)σ ≈ 1.3857T

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ANSWER = 8460x (5y-23)(2x+13)

                                 60

Answer:

B anddddddddd D I hope this helps

Step-by-step explanation:

Answer:

Its number 2,3 and 4 not the first one

Step-by-step explanation:

Answer:

f(x) = -5(2)-4     f(x) = -10-4      f(x) = -14

Step-by-step explanation:

You put in the number 2 for the variable x

Answer:

f(x) = -(x + 8)(x -14)

= -(x2 - 112 - 6x)

= -x2 + 6x + 112 --- (1)

We know the graph of an equation y = ax2 + bx + c where a ≠ 0 is a parabola. The parabola opens upwards if a > 0 and opens downwards if a < 0. The vertex of the parabola is the point where the axis and parabola intersect. Its x coordinate x = -b/2a and its y coordinate is found out by substituting x = -b/2a in the parabola equation.

The parabola given in the problem statement has a negative coefficient of x2 and hence it is a parabola which opens downwards. Also for the equation

a = -1, b = 6 and c = 112. Therefor the x-coordinate of the vertex is

x = -b/2a

= -(6)/[2(-1)]

= 3

Substituting the value of x = 3 in equation (1) we get,

Now y = -(3)2 + 6(3) + 112

= -9 + 18 + 112 = 121

So the vertex point coordinates are (3, 121) and the y value is 121.

The graph below verifies the vertex point.

vertex of the graph

What is the y-value of the vertex of the function f(x) = -(x + 8)(x - 14)?

Summary:

The y-value of the vertex of the function f(x) = -(x + 8)(x - 14) is 121.

Answer:

Point A(9, 3)

General Formulas and Concepts:

Pre-Algebra  

Order of Operations: BPEMDAS  

Equality Properties  

Algebra I  

Calculus  

Derivatives  

Derivative Notation  

Derivative of a constant is 0  

Basic Power Rule:  

Derivative Rule [Chain Rule]:                                                                                    \(\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)\)

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle y = \sqrt{x}\)

\(\displaystyle y' = \frac{1}{6}\)

Step 2: Differentiate

Step 3: Solve

Find coordinates of A.

x-coordinate

y-coordinate

∴ Coordinates of A is (9, 3).

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

what are the given options? :)

The cytoplasmic membrane consists of phospholipids, proteins, and other molecules.

The cytoplasmic membrane, also known as the plasma membrane, is a vital component of cells in both prokaryotes and eukaryotes. It surrounds the cell, separating its internal contents from the external environment. The main structural component of the cytoplasmic membrane is phospholipids. These phospholipids form a lipid bilayer, with hydrophilic (water-loving) heads facing outward and hydrophobic (water-fearing) tails facing inward. This lipid bilayer provides a barrier that controls the movement of substances in and out of the cell.

In addition to phospholipids, the cytoplasmic membrane contains proteins. These proteins are embedded within the lipid bilayer and have various functions. Some proteins act as transporters, facilitating the movement of molecules across the membrane. Others serve as receptors, allowing the cell to detect and respond to signals from the environment. Enzymes involved in cellular metabolism can also be found in the cytoplasmic membrane. Additionally, the cytoplasmic membrane may contain other molecules such as cholesterol, which helps maintain the fluidity and stability of the membrane.

Overall, the cytoplasmic membrane is a complex structure composed of phospholipids, proteins, and other molecules. It plays a crucial role in maintaining the integrity of the cell and regulating the exchange of substances with the external environment.

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Answer:

:)

Step-by-step explanation:

It's 8 percent! Mark brainliest pls

Answer:

Since QPR is an isoscelese triangle, QP and PR are congruent.

Therefore PR = 8

My guess for ST is z=1. So (5z = 5) and( 2z = 2). Then add 3 to 2 and you get 5. So ST = 5

Step-by-step explanation:

Hope this helps!!!

Please mark brainliest.

Answer: 10/3 every hour

Step-by-step explanation:

The rate the water level is rising is 3 feet and 4 inches per hour.

Answer:

(6,-4)

Step-by-step explanation:

Answer:

-5/10 equals to 5/-10 because even though the numerator/denominator is negative, when you simplify -5/10 or 5/-10, it give you -1/2 and 1/-2.

Step-by-step explanation:

Answer:

It's B , or #2

2x-3y<7

Step-by-step explanation:

إجابة:

3.8

شرح خطوة بخطوة:

\(1.3 - (-2.5)\)

\(=1.3+2.5\)

\(=3.8\)

Answer:

3.8

Step-by-step explanation:

negative by negative = positive.

1.3 + 2.5 = 3.8

Answer:

C is the right answer I think

Answer:

x = 2

y = 5

Step-by-step explanation:

when you think of how many times 5 can go into 10 it is 2

then think of how many times 2 can go into 10 which is 5

then you add the two and it equals 20$

Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03. Option C is correct.

An error is a mistaken or erroneous action. In some contexts, an error is interchangeable with a mistake.

The discrepancy between the calculated value and the correct value is referred to as an “error” in statistics.

The length of fabric= 1.3 meters.

Cost of fabric=$0.45 per inch

1 meter =39.3701 inch

1.3 meter =1.3 × 39.3701 inch

1.3 meter = 51.18 inch

Cost of fabric per unit length(inch);=$0.45

The cost of the fabric is;

Cost of fabric=$0.45 ×51.18 inch

Cost of fabric=$23.03

Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03. The fabric cost will be, $23.03

Hence,option C is correct.

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Answer:

x = 2, x = 1/3

Step-by-step explanation:

(3x-2)^2-4=9x-6

9x^2-12x=9x-6

9x^2-12x+6=9x

9x^2-21x+6=0

(then solve with quadratic formula)

x = 2, x = 1/3

Answer:

\( 5.99 \times {10}^{ - 9} \\ \\ 1.80 \times {10}^{9} \\ \\ 3.42 \times {10}^{ - 9} \)

Step-by-step explanation:

Following numbers are written in scientific notations.

\(5.99 \times {10}^{ - 9} \\ \\ 1.80 \times {10}^{9} \\ \\ 3.42 \times {10}^{ - 9} \)

Answer:

For number 1, -1.125 and -9/8. For number 2, -46.

Step-by-step explanation:

Step-by-step explanation:

Given 5x + 8 = 118 (vertically opposite angles)

\(5x + 8 = 118 \\ 5x = 118 - 8 \\ 5x = 110 \\ x = 110 \div 5 \\ = 22\)

Answer:

\(-\frac{3}{5}\)

Step-by-step explanation:

Your points on this line are:

(4, -1) and (-1, 2)

To find slope we will use the slope formula.

\(\frac{y2-y1}{x2-x1}\)

Substitute:

\(\frac{2+1}{-1-4}\)

\(\frac{3}{-5}\)

This means the slope is

\(-\frac{3}{5}\)

The value of the give expression is  \(\frac{313}{748845}\) OR 4.18 × 10⁻⁴

From the question, we are to determine the value of

2(5+34-67/45*43)^2

This can be written as

\(2 (\frac{5+34-67}{45 \times 43 })^{2}\)

First, we will simplify the bracket

\(2 (\frac{-28}{1935 })^{2}\)

Then, we get

\(2 \times \frac{-28}{1935 }\times \frac{-28}{1935 }\)

= \(\frac{1568}{3744225}\)

= \(\frac{313}{748845}\) OR 4.18 × 10⁻⁴

Hence, the value of the give expression is  \(\frac{313}{748845}\) OR 4.18 × 10⁻⁴

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The simplified expression is 2a + 8√b. The expression is √(9a²) + √(49b) - a + √(b) and to simplify this expression, follow these steps:

1. Simplify the square root of each perfect square term:

√(9a²) = 3a, because 9 is a perfect square and the square root of 9 is 3, and the square root of a² is a.

√(49b) = 7√b, because 49 is a perfect square and the square root of 49 is 7, but b is not a perfect square, so we leave it under the square root.

2. Rewrite the expression with the simplified terms:

3a + 7√b - a + √b

3. Combine like terms:

(3a - a) + (7√b + √b)

2a + 8√b

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Answer: i think its 55 but im not sure

Answer:

33 inches tall (see below)

Step-by-step explanation:

You can make a ratio to simplify the situation:

  75 in. tall                 x in. tall

----------------------  =  ---------------------

50 in. shadow       22 in. shadow

Cross multiply:

75 (22) = 50 (x)

1650 = 50x

33 = x

x = 33 in. tall

Answer:

(1,7)

Step-by-step explanation:

Because it is :)

The expected value of the random variable y is computed to be 3.8.The variance of y is calculated to be 4.06, and the standard deviation is approximately 2.02.

To compute the expected value of the random variable y, we multiply each value of y by its corresponding probability and sum them up. In this case, we have:

E(y) = (2)(0.2) + (4)(0.1) + (5)(0.3) + (8)(0.2) + (10)(0.2) = 0.4 + 0.4 + 1.5 + 1.6 + 2 = 3.8.

To calculate the variance of y, we first need to compute the squared deviations from the expected value for each value of y, multiply them by their corresponding probabilities, and sum them up. Then, subtracting the squared expected value of y gives us the variance. Using the formula:

Var(y) = \(E[(y - E(y))^2],\)

we have:

Var(y) = \([(2 - 3.8)^2](0.2) + [(4 - 3.8)^2](0.1) + [(5 - 3.8)^2](0.3) + [(8 - 3.8)^2](0.2) + [(10 - 3.8)^2](0.2),\)

Var(y) = 0.36 + 0.04 + 0.36 + 4.84 + 36,

Var(y) = 4.06.

Finally, the standard deviation (σ) is the square root of the variance:

σ = √Var(y) ≈ √4.06 ≈ 2.02.

Therefore, the variance of y is 4.06, and the standard deviation is approximately 2.02.

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