helppp

The value -2 is a lower bound for the zeros of the function shown below.
f(x) = 4x^3– 12x^2-x+15

A. True
B. False

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 3, 4 ) and (x₂, y₂ ) = (- 3, - 7 )

m = \(\frac{-7-4}{-3+3}\) = \(\frac{-11}{0}\)

Since division by zero is undefined then the slope is undefined

This indicates the line is vertical and parallel to the y- axis

Answer:

Step-by-step explanation:

V = (1/2bh)l

= (1/2(5x2))4

= (5)(4)

= 20cm^3

\(A=\frac{b*h}{2} \\\\a^2+b^2=c^2\\\\2^2+5^2=c^2\\4+25=c^2\\\sqrt{29}=c\\ \\A=\frac{\sqrt{29}*4 }{2}\\ A=\frac{\sqrt{29}*\sqrt{16}}{2}\\ A=\frac{\sqrt{464}}{2}\\\)

nvm this is wrong lol, too many "solve for the missing side" problems bouncing around in my head

\(A=\frac{(5*2)(4)}{2} \\A=\frac{5*2*4}{2}\\A=5*4\\A=20\)

this is right

The given function represents exponential growth, the value of a is 1 and the value of r is 0.45.

The quantity increases slowly after which the rate of change and the rate of growth increases over a period of time rapidly. This increase in growth is calculated by using the exponential growth formula.

The exponential growth formula is \(Amount = Initial value(1+\frac{r}{100} )^{\frac{t}{n}}\).

The given exponential function is \(x(t)=(1.45)^{\frac{t}{2} }\).

Now, \(x(t)=(1+0.45)^{\frac{t}{2} }\)

Compare, \(x(t)=(1+0.45)^{\frac{t}{2} }\) with \(y=a(1+r)^t\), we get

a=1 and r=0.45

Therefore, the value of a is 1 and the value of r is 0.45.

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The distance along the unit circle between any two successive 8th roots of 1 is c) π/4.

To find the distance along the unit circle between any two successive 8th roots of 1, we can consider the concept of angular displacement.

Each 8th root of 1 represents a point on the unit circle that is evenly spaced by an angle of 2π/8 = π/4 radians.

Starting from the point corresponding to 1 on the unit circle, we can move π/4 radians to reach the first 8th root of 1. Moving π/4 radians further will bring us to the second 8th root of 1, and so on.

Since we are moving by π/4 radians for each successive 8th root of 1, the distance between any two successive 8th roots of 1 is π/4 radians.

Therefore, the correct answer is option c. π/4.

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The answer choice which is not a possible variable term in the expansion of the binomial; (x + y)⁶ is; x⁵y².

It follows from the task content that the intended expression for expansion is; (x + y)⁶.

It therefore follows from conventional concepts of binomial expansion that the highest degree of any term in the expression be equal to 6.

However, the term x⁵y² upon summation of the exponents results in 7 by virtue of 5+2.

Hence, the correct answer choice is; x⁵y².

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Answer: x⁵y²

Step-by-step explanation: Did the test and got it right.

Answer:

153.94 cm

Step-by-step explanation:

d=2r (need radius (r) to solve for the area)

14=2r

r=7

A=πr²

A=π(7)²

A=π49

A=153.94

Answer:

x=3

Step-by-step explanation:

How to solve your question

Your question is 1/2(4x-2)=6x-3

Solve

1.Combine multiplied terms into a single fraction

1/2(4x-2)=6x-13

1(4x-2) divided by 2 =6x-13

2.Multiply by 1

3 Subtract 6x from both sides of the equation

4.Simplify

5.Multiply all terms by the same value to eliminate fraction denominators

6.simplify

7.Add 2 to both side of equation

8.Simplify

9.Divide both sides of the equation by the same term

10.Simplify

Step-by-step explanation:

Combine multiplied terms into a single fraction

1/2 (4x-2) / 2 = 6x - 13

1 (4x -2) /2 = 6x -13

Multiply by 1

1 (4x - 2) / 2 = 6x - 2

4x - 2 / 2 = 6x-13

Subtract 6x from both sides of the equation

4x - 2 / 2 = 6x - 3

4x - 2 /2 - 6x =6x -13 -6x

Simplify

Combine like terms

4x -2 /2 -6x = -13

Multiply all terms by the same value to eliminate fraction denominators

4x -2 /2 -6x = -13

2 (4x-2 /2 -6x) =2(-13)

Simplify

Distribute

Cancel multiplied terms that are in the denominator

Combine like terms

Multiply the numbers

-8x -2 = -26

Add 2 to both sides of the equation

-8x -2= -26

-8x -2+2 = -26+2

Simplify

Add the numbers

Add the numbers

-8x = -24

Divide both sides of the equation by the same term

-8x = -24

-8x / -8 = -24 / -8

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=3

Solution

=3

The standard deviation of f$ ar{x},f$ is usually called the "sample standard deviation".

This is a commonly used statistical measure that represents the amount of variation or dispersion within a set of data. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean.

The sample standard deviation is often used to compare the variability of different sets of data and to determine the significance of differences between them. Financial contracts known as derivatives are those entered into by two or more parties and whose value is derived from an underlying asset,

collection of assets, or benchmark. A derivative may be traded over-the-counter or on an exchange. Derivative prices are based on changes in the underlying asset.

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30 cups of coffee, total 2.1 liters, were distributed equally. 70 milliliters of coffee were in each up.

Given that,

30 cups of coffee, total 2.1 liters, were distributed equally.

We have to find how much milliliters of coffee in each cup.

First we have to convert liters into milliliters.

We know 1 liter=1000 milliliters

So, now we convert 2.1 liters to __ milliliters.

=2.1×1000 milliliters

=21×1/10×1000

=21×100

=2100 milliliters.

So, 2100 milliliters of coffee available for distribution.

We know,

30 cups =2100 milliliters

Then

1 cup = ___ milliliters

1cup=2100/30

1cup=210/3

1 cup= 70

Therefore, 70 milliliters of coffee were in each up.

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The percentage of the games that Natasha scores between 93 and 142 is given as follows:

96.9%.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given as follows:

\(\mu = 115, \sigma = 11\)

The proportion of games with scores between 93 and 142 is the p-value of Z when X = 142 subtracted by the p-value of Z when X = 93, hence:

Z = (142 - 115)/11

Z = 2.45

Z = 2.45 has a p-value of 0.992.

Z = (93 - 115)/11

Z = -2

Z = -2 has a p-value of 0.023.

0.992 - 0.023 = 0.969, hence the percentage is of 96.9%.

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The induced magnetic field is proportional to the applied magnetic field B = (μ0σBo/4) sin(wt).

The Induced electric field can be found using Faraday's law:

∇ × E = -∂B/∂t

Since the magnetic field is only changing in magnitude and not direction, we can simplify this to:

E = -∂A/∂t

where A is the magnetic vector potential. The magnetic vector potential for a uniform magnetic field along the z-axis is given by:

A = (Bo/2w) cos(wt) (r^2 - z^2)

where r is the distance from the axis of the disk and z is the height above the center of the disk. Taking the time derivative of A gives us:

∂A/∂t = -(Bo/2) sin(wt) (r^2 - z^2)

So the induced electric field is:

E = (Bo/2) sin(wt) (r^2 - z^2)

The current density can be found using Ohm's law:

J = σE

So the current density is:

J = (σBo/2) sin(wt) (r^2 - z^2)

The current density will be greatest at the center of the disk, and will decrease as we move away from the center. At the edges of the disk, the current density will be zero.

The power dissipated per unit volume is given by:

J⋅E

Substituting the expressions for J and E gives:

J⋅E = (σBo^2/8) sin^2(wt) (r^2 - z^2)^2

c) The total power dissipated in the disk at time t is given by:

∫ J⋅E dV

Integrating over the volume of the disk (assuming it is a cylinder with height h and radius a), we get:

P = (πσBo^2a^2h/4) sin^2(wt)

The average power dissipated per cycle of the field is given by:

(1/T) ∫ P dt

where T = 2π/w is the period of the field. Integrating over one cycle of the field gives:

(πσBo^2a^2h/8)

To heat up the frying pan with 1000 watts of power at a frequency of 20 kHz, we need:

P = (πσBo^2a^2h/4) sin^2(wt) = 1000 watts

σ = 5.96×10^7 S/m (for copper)

Assuming the frying pan has a radius of 20 cm and a height of 5 cm, we have:

a = 10 cm

h = 5 cm

w = 2πf = 125.7 rad/s

Substituting the values and solving for Bo, we get:

Bo ≈ 2.23 T

This seems like a high magnetic field, and it may not be feasible to achieve with typical equipment.

The induced magnetic field at the center of the pan can be found using the Biot-Savart law:

B = μ0∫ J(r')×(r-r')/|r-r'|^3 dV'

Assuming a uniform current density, we can simplify this to:

B = μ0Jπa^2/2

Substituting the expression for J gives:

B = (μ0σBo/4) sin(wt)

At the center of the pan (r=0, z=0), we have:

B = (μ0σBo/4) sin(wt)

The induced magnetic field is proportional to the applied magnetic field

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Answer:

Mike's sisters age is 5 years old

Step-by-step explanation:

Since Mike is 17 years old, he is six years older than 2 times her age, so we subtract 6 from his age; we get 11 since he is 2 times her age divide 11 by 2 = 5.5. That means that his sister is 5 years old

Using linear function concepts, it is found that the slope of the line that passes through points (4,8) and (8,6) is of -0.5.

A linear function is modeled by:

y = mx + b

In which:

The line goes through points (4,8) and (8,6), hence when x changes by 4, y changes by -2, and the slope is given by:

m = -2/4 = -0.5.

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The correct hypothesis statement for this golfer to prove his claim would be:

\(H_{0} :u\geq 90\)

\(H_{1} :u < 90\)

The golfer claims that his average score is less than 90.

Therefore, the null hypothesis is the opposite of what he claims

Null hypothesis \(H_{0}\) is average score \(u\) is greater than or equal to 90:

\(u \geq 90\)

\(H_{0} :u\geq 90\)

Alternative hypothesis \(H_{1}\) is then the opposite of null hypothesis.

Hence alternate hypothesis \(H_{1}\) is u< 90

\(H_{1} :u < 90\)

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Answer:

1/9

Step-by-step explanation:

3*3=9

Hope this helps! :)

Answer: 0.11111111111

Step-by-step explanation:

Based on the survey, the estimated proportion (p) of customers planning to purchase Ultra-HD television sets or game consoles in the next five years is approximately 0.1 or 10%.

The estimate of p, the proportion of customers who plan to purchase Ultra-HD television sets or game consoles in the next five years, can be calculated by dividing the number of customers who plan to purchase by the total number of sampled customers.

In this case, the survey found that 50 out of 500 sampled customers plan to purchase. Therefore, the estimate of p is 50/500, which simplifies to 0.1 or 10%.

Hence, the estimate of p, based on this survey, is 0.1 or 10%.

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Answer:

I cant solve number 1 but I can for number 2

Calculate GCF for each

You can learn how to use the prime factorization method to do this

GCF(12, 18, 40, 45) = 1

So I dont get what the problem is because there are no numbers for #2. So either I dont understand the problem or it is a trick question whereas the answer is UNDEFINED/IMPOSSIBLE.

A regular hexagon has six lines of symmetry to map onto itself using reflections.

The number of lines of symmetry a hexagon have that will reflect it onto itself is 6.

The given shape is hexagon.

A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts.

A hexagon has six lines of symmetry. Each line of symmetry is a line that divides the hexagon into two equal halves that are reflections of one another. When all six lines of symmetry are present, the hexagon can be reflected over itself.

Therefore, the number of lines of symmetry a hexagon have that will reflect it onto itself is 6.

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The outliers in the following scatterplots need to be circled:--5, 15-60

The points (-5,15) and (-60,7) are outliers.

An outlier is a value that lies outside (is smaller or larger) than most other values in a given data set. An outlier may represent a unique event or error. When examining scatterplots, outliers are the values that appear to be farthest from the trend line. Outliers are labeled as "L" in scatterplots. To answer this question, the outliers in the following scatterplots need to be circled:

--5, 15-60

The points (-5,15) and (-60,7) are outliers.

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On solving the provided question, we can say that - the value ox in the following angle = 3x = 84 => x = 28

In Euclidean geometry, an angle is a shape made up of two rays, referred to as the angle's sides, that meet at a point in the middle known as the angle's vertex. Two rays can generate an angle that is in the plane where the rays are located. The meeting of two planes also creates an angle. They are referred to as dihedral angles. An angle is the shape created by two rays or lines that have a shared termination in plane geometry. The Latin word "angulus," which meaning "horn," is the source of the English term "angle." The vertex is the common terminal of the two rays, which are referred to as the sides of the angle.

here

angle JMP = 3x-6 - 90

3x = 84

x = 28

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Answer:

Step-by-step explanation:

Total members = 300

               Under 18                       18 and above                 Total

Male         180 - 159 =21                    159                              180

Female         36                           120 - 36 = 84                  300 - 180 = 120

Total          21+36 = 57                 159 + 84 =243                 300

Simple interest and compound interest are the two methods for calculating interest. Simple interest is computed on a loan's principal, or initial loan amount. Compound interest is often referred to as "interest on interest" since it is calculated using both the principal and the accrued interest from prior periods.

a) To find the principal in a simple interest calculation, we can use the formula:

Simple Interest = Principal * Rate * Time

In this case, we are given that the simple interest rate is 5.5% (or 0.055 as a decimal), and the deposit grew to $21,000 in 6 months. Plugging these values into the formula, we can solve for the principal:

Simple Interest = Principal * Rate * Time
$21,000 = Principal * 0.055 * 6 months

Now, let's solve for the principal:

$21,000 = Principal * 0.33
Principal = $21,000 / 0.33
Principal ≈ $63,636.36

Therefore, the principal is approximately $63,636.36.

b) To find the accumulated amount (A) in a simple interest scenario, we can use the formula:

A = Principal + Simple Interest

In this case, we are not given the principal or the time. Therefore, we cannot directly calculate the accumulated amount without additional information. If you have any other information or values, please provide them so that I can assist you further.

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The ladder touches the wall at a height of approximately 9.2 feet above the ground.

We can use the Pythagorean theorem to solve this problem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side, which is the ladder in this case) is equal to the sum of the squares of the lengths of the other two sides (the distance from the wall and the height of the ladder on the wall).

Let's call the distance from the wall "x" and the height of the ladder on the wall "h". Then we have:

\(x^2 + h^2 = 14^2\)

We also know that the bottom of the ladder is placed 3 feet from the wall, so we have:

x + 3 = 14

Solving for x, we get:

x = 11

Substituting this value into the first equation, we get:

\(11^2 + h^2 = 14^2\)

Simplifying and solving for h, we get:

\(h = \sqrt{(14^2 - 11^2)}\)

h ≈ 9.2

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The rug and the steps are missing,so i have attached it.

Answer:

27 ft²

Step-by-step explanation:

From the rug attached, we can see that the steps are indicated in blue footprints.

Now, the horizontal foot prints will intersect the vertical one after 4.5 footprints.

While the vertical one will intersect the horizontal one after approximately 3 footprints.

Each foot is 12 inches.

Now, 1 ft = 12 inches.

Thus;

Vertical = 4.5 ft and horizontal = 3 ft

Thus;

Area of that portion = 4.5 × 3 = 13.5 ft²

Now, that is only half way.

Thus, for full part = 13.5 × 2 = 27 ft²

The volume of the rectangular prism will be (4x - 3)(x + 1)( x+2) cubic feet.

The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.

Given that the length, width, and height of the rectangular prism are,

The volume of the rectangular prism will be calculated as,

Volume = Length x width x Height

Volume = (4x - 3)(x + 1)( x+2) cubic feet

Therefore, the polynomial for the volume will be (4x - 3)(x + 1)( x+2) cubic feet.

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