PLS!!!!!!! HELP ME!!!! PLS!!! I WILL MARK U!!!

\(\\ \sf\longmapsto D=b^2-4ac\)

#1

\(\\ \sf\longmapsto x^2+6x+9=0\)

Now

\(\\ \sf\longmapsto D=(6)^2-4(1)(9)=36-36=0\)

#2

\(\\ \sf\longmapsto x^2+9x+20=0\)

Now

\(\\ \sf\longmapsto D=(9)^2-4(1)(20)=81-80=1\)

#3

\(\\ \sf\longmapsto x^2+6x+3=0\)

Now

\(\\ \sf\longmapsto D=6^2-4(1)(3)=36-12=24\)

#4

\(\\ \sf\longmapsto 2x^2-10x+8=0\)

Now

\(\\ \sf\longmapsto D=(-10)^2-4(1)(8)=100-32=68\)

#5

Now

\(\\ \sf\longmapsto D=5^2-4(1)(10)=25-40=-15\)

#6

\(\\ \sf\longmapsto D=(-3)^2-4(1)(1)=9-4=5\)

Answer:

40%

Step-by-step explanation:

Given parameters:

Number of people surveyed  = 2200

Number of people who said they would buy the car again  = 880

Unknown:

The percentage of people satisfied with the car  = ?

Solution:

The percentage of people satisfied with the car purchase can be determined using the expression below:

Percentage of people satisfied  = \(\frac{Number of people who said they would buy the car again}{Number of people surveyed} x 100\)

Percentage of people satisfied  = \(\frac{880}{2200}\)  x 100  = 40%

For n distinct Boolean random variables, there are 2ⁿ distinct sets of inputs.

To answer your question, there are 2ⁿ distinct sets of inputs for n Boolean random variables.

In this case, we have 10 Boolean random variables, so there are 2¹⁰ = 1024 distinct sets of inputs.

This is because each Boolean variable can take on one of two values (0 or 1), and there are n variables in total. So for each variable, there are 2 possible values, giving a total of 2ⁿ possible combinations of inputs.

For example, with just 2 Boolean variables, there are 2² = 4 possible combinations: (0,0), (0,1), (1,0), and (1,1). With 3 variables, there are 2^3 = 8 possible combinations, and so on.

So in summary, for n distinct Boolean random variables, there are 2^n distinct sets of inputs.

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Answer:

The range of the function is:

\(\mathrm{Range\:of\:}3^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}\)

Please also check the attached graph.

Step-by-step explanation:

We also know that range is the set of values of the dependent variable for which a function is defined.  

In other words,  

Range refers to all the possible sets of output values on the y-axis.

It means the set of all the y-coordinates of the given points or ordered pairs on a graph will be the range.

Given the expression

\(y=3^x\)

The range of an exponential function of the form

\(c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k\)

\(k=0\)

\(f\left(x\right)>0\)

Therefore, the range of the function is:

\(\mathrm{Range\:of\:}3^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}\)

Please also check the attached graph.

Among the provided functions, the ones that approach positive infinity as x approaches negative infinity are:

- f(x) = 2x^5

- f(x) = 6x^8 + 9x^6 + 32

- f(x) = -x + 8x^4 + 248

To determine which functions approach positive infinity as x approaches negative infinity, we need to analyze the leading terms of the functions. The leading term dominates the behavior of the function as x becomes very large or very small.

Let's examine each function and identify their leading terms:

1. f(x) = 2x^5

The leading term is 2x^5, which has a positive coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.

2. f(x) = 9x + 100

The leading term is 9x, which has a positive coefficient but a lower power of x compared to the constant term 100.

As x approaches negative infinity, the leading term becomes very large and negative, indicating that f(x) approaches negative infinity, not positive infinity.

3. f(x) = 6x^8 + 9x^6 + 32

The leading term is 6x^8, which has a positive coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.

4. f(x) = -8x^3 + 11

The leading term is -8x^3, which has a negative coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and negative, indicating that f(x) approaches negative infinity, not positive infinity.

5. f(x) = -10x + 5x + 26

Combining like terms, we have f(x) = -5x + 26.

The leading term is -5x, which has a negative coefficient but a lower power of x compared to the constant term 26.

As x approaches negative infinity, the leading term becomes very large and positive, indicating that f(x) approaches negative infinity, not positive infinity.

6. f(x) = -x + 8x^4 + 248

The leading term is 8x^4, which has a positive coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.

Therefore, the correct choices are:

- f(x) = 2x^5

- f(x) = 6x^8 + 9x^6 + 32

- f(x) = -x + 8x^4 + 248

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There are no real values for X and Y that satisfy the given equations X + Y = 17 and XY = 164.

To find the values of X and Y in the given equations, we can use a system of equations approach.

Let's start by solving the first equation, X + Y = 17, for one variable in terms of the other. We can choose to solve for X:

X = 17 - Y

Now, substitute this expression for X in the second equation, XY = 164:

(17 - Y)Y = 164

Expanding the equation gives us:

17Y - Y^2 = 164

Rearranging the equation to a quadratic form, we have:

Y^2 - 17Y + 164 = 0

To solve this quadratic equation, we can use factoring, completing the square, or the quadratic formula. Let's use the quadratic formula:

Y = (-(-17) ± √((-17)^2 - 4(1)(164))) / (2(1))

Simplifying further:

Y = (17 ± √(289 - 656)) / 2

Y = (17 ± √(-367)) / 2

Since the expression under the square root is negative, there are no real solutions for Y. This means that there are no real values for X and Y that satisfy both equations simultaneously.

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The p-value is 0.0064

Given that a random sample of 30 days and finds that the site now has an average of 124,247 unique listeners per day. Let us first understand the t-test(a2:a31, b2:b31, 2, 3) formula:

t-test stands for student's t-test.

a2:a31 is the first range or dataset.

b2:b31 is the second range or dataset.

2 represents the type of test (i.e., two-sample equal variance).

3 represents the type of t-test (i.e., two-tailed).

Now, let's solve the problem at hand using the formula given by putting the values into the formula:

P-value = 0.0064

The p-value calculated using the t.test(a2:a31, b2:b31, 2, 3) formula is 0.0064.

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Answer:

It is not. A multiplicative inverse is the reciprocal for a number. For a fraction, the form would change from a/b to b/a. In this case the multiplicative inverse of 7/8 would be 8/7.

Answer:

10%

Step-by-step explanation:

To get 0.2 from 2, we need to divide by 10 or multiply by 0.10. Since we have 0.10, we convert that to percent by multiplying by 100 to get 10%.

Answer:

0.2 is 10% of 2.

Step-by-step explanation:

We can set up an equation:

2*x=0.2

x is representing the decimal that 2 needs to be multiplied to equal 0.2

2x=0.2

x=0.1

If x equal 0.1, then we can convert 0.1 into a percent. 0.1=10%

So, 0.2 is 10% of 2.

The shear diagram for the beam with m0 = 200 lb-ft and l = 20 ft can be represented as a piecewise linear function with two segments: a downward linear segment from x = 0 to x = 20, and a constant segment at -200 lb from x = 20 onwards.

The shear diagram provides a visual representation of how the shear force varies along the length of the beam. In this case, we are given that the beam has a fixed moment at the left end (m0 = 200 lb-ft) and a length of 20 ft (l = 20 ft).

Starting from the left end of the beam (x = 0), we observe a downward linear segment in the shear diagram. This segment represents a gradual decrease in shear force from the fixed moment until it reaches the right end of the beam at x = 20 ft.

At x = 20 ft, we encounter a change in behavior. The shear force remains constant at -200 lb, indicating that the beam experiences a continuous downward shear force of 200 lb from this point onwards.

By plotting the shear diagram, engineers and analysts can gain insights into the distribution of shear forces along the beam, which is crucial for understanding the structural behavior and designing appropriate supports and reinforcements.

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In the given cirlce, the value of x is 15

From the question, we are to determine the value of x in the given diagram

From the given information,

We have a circle and we are given the angles subtended by the arcs at the center of the circle.

We know that the sum of angles in a circle is 360°.

Then,

We can write that

(8x - 10)° + (6x)° + (10x + 10)°  = 360°

Solving for x

8x - 10 + 6x + 10x + 10  = 360

Collect like terms

8x + 6x + 10x - 10 + 10 = 360

24x = 360

Divide both sides by 24

24x / 24 = 360 / 24

x = 15

Hence, the value of x is 15

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Marc's current marginal tax rate can be determined by referring to the U.S. tax rate schedule for the year 2021 based on his taxable income.

To calculate Marc's current marginal tax rate, we need to look at the U.S. tax rate schedule for the year 2021. The tax rate schedule consists of several tax brackets, each with its corresponding tax rate. As taxable income increases, individuals move into higher tax brackets and are subject to higher tax rates. Based on Marc's taxable income of $260,000, we would need to refer to the tax rate schedule to determine his marginal tax rate. As the exact tax rates within the brackets can vary, it's important to consult the specific tax rate schedule for the given year.

By locating the corresponding tax bracket for $260,000 in taxable income, we can identify the applicable tax rate. Marc's current marginal tax rate would be the tax rate associated with the bracket that includes his interest.

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Answer:

5

Step-by-step explanation:

√17 = 4.124105626

smallest would be 5 since it is already above 4

Probabilities of Q are 1,4, 16, 64 are 312 2 8181818 , E(Q)=20.88 and 12.5% information revealed. Wheel is spin twice 0.2815.

When we are not sure about the outcome we can make possible probabilities about the situation. Therefore, it is the maximum and possible chances of something to be happen.

Step 1

Angle of one complete spin = 360°

Q=16=90° Q=6490"

Q=4-450

Q=1=135°

Here

P(Q16) = P(Q= 64)

=90/36

=1/4

Step 2

Expected value E(Q) = xP(x) E(Q) = 1x+4x+16x+64 x2/8

Step 3

c)

We learn Q=4

P(Q=4)=1/8=0.125

12.5 %  information is revealed.

Please refer to solution in this step.

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Answer:

10 units

Step-by-step explanation:

point A has the coordinate (1,6) and point B has the coordinates (1,2), so the difference in the y values will give height of the triangle which is 6-2 = 4

similarly the point B has the coordinates (1,2) and point C has the coordinates (6,2). Calculate the difference in x values which is 6-1 = 5 which is the base of the triangle

now use the area of a triangle formula which is 1/2 * b * h

= 1/2 * 5 * 4

= 1/2 * 20

= 10

Answer:

Ha

Step-by-step explanation:

a(i) The coefficient of the variable x² is 1

a(ii) The coefficient of the variable x² does not exist

b(i) The polynomial x³ + x² + x + 1 has a factor of x + 1

b(ii) The polynomial  x⁴ + x³ + x² + x + 1 does not have a factor of x + 1

The coefficient of a variable is often the value or number just before the variable.

In the given question;

a(i). The coefficient of x² in πx/6 + x² - 1 is 1.

This is because there is no other value in front of x² in the function.

a(ii). The coefficient of x² in the function 3x - 6 is 0.

This is because x² does not exist in the function and if present, with the value of 0 as it's coefficient, it becomes 0.

b(i) The polynomial that have x + 1 as a factor is;

x³ + x² + x + 1;

Finding the factors of this polynomial;

x³ + x² + x + 1 = (x + 1)(x² + 1)

b(ii) The factors of the polynomial x⁴ + x³ + x² + x + 1 does not exist.

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The function f can be implemented using a single 4-to-1 multiplexer and two inverters.

A 4-to-1 multiplexer is a digital logic component that selects one of four input signals based on the select lines. It has four data inputs (D0, D1, D2, D3), two select lines (S0, S1), and one output (Y). By properly connecting the inputs and select lines, we can realize the desired function f.

To implement the function f using a single 4-to-1 multiplexer and two inverters, we need to carefully assign the input signals and select lines to achieve the desired behavior. The truth table of the function f will guide us in determining the appropriate connections.

First, we can use the inverters to complement the required inputs if needed. Then, we can connect the complemented and uncomplemented inputs to the select lines of the multiplexer. The output of the multiplexer will be the result of the function f.

By carefully selecting the input assignments and connections, we can effectively implement the function f using a single 4-to-1 multiplexer and two inverters. This approach offers a compact and efficient solution for realizing the desired logic function.

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Answer:

Soda tax — Should people have to pay an extra tax on soda or junk food?

Your conversation should include the following:

A total of at least five entries for each side (10 entries total—two to three sentences each)

Accurate facts used to support both perspectives

At least two properly cited sources used for research

Step-by-step explanation:

Answer: 0.1056

Step-by-step explanation:

Given: Chipotle Burritos are normal distributed with

Mean =  200 mm

Standard deviation = 8 mm

Let x be the length of a random burrito.

The probability that a burrito picked at random is shorter than 190mm will be :

\(P(x<190)=P(\dfrac{x-\mu}{\sigma}<\dfrac{190-200}{8})\\\\=P(z<-1.25)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(z<1.25)\\\\=1-0.8944\\\\=0.1056\)

Hence, the probability that a burrito picked at random is shorter than 190mm is 0.1056.

Answer:

Radius = 11.85yd

Step-by-step explanation:

Volume of a Cone formula: V = πr²(h/3)

We know that;

V = Volume

r = radius

π = pi (this is a sign located on your calculator)

h = height

We are given that;

V = 4,410

r = unknown

h = 30

Let's substitute the values in:

=> V = πr²(h/3)

=> 4,410 = πr²(30/3)

=> 4,410 = πr²(10)

=> 4,410 / 10 = πr²

=> 441 = πr²

=> 441 / π = r²

=> 140.37 = r²

=> \(\sqrt{140.37}\) = r

=> 11.85 = r

Therefore, the radius of the cone = 11.85yd

Hope this helps!

Answer:

Step-by-step explanation:

4b - 16b + 12 = 48

-12b + 12 = 48

-12b = 36

b = -3

The value of f(7.5) of the exponential function is 86.84

The general form of an exponential function is given by:

f(x) = abˣ

Since f(x) is an exponential function, and f(4)=21 and f(4.5)=47. We can write that:

21 = ab⁴   --- (1)

47 = ab⁴°⁵  --- (2)

Divide (2) by (1):

47/21 = b⁴°⁵⁻⁴

47/21 = b⁰°⁵

b =√(47/21)

b = 1.50

Put b = 1.5 into (1):

21 = ab⁴

21 = a(1.5)⁴

a = 21/(1.5)⁴

a = 4.15

So the exponential function f(x) = 4.15(1.50)ˣ

To find the value of f(7.5), put  x = 7.5 into the exponential function:

f(x) = 4.15(1.50)ˣ

f(7.5) = 4.15(1.50)⁷°⁵

f(7.5) = 86.84

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Answer:

The balloon contains 456.3 kg of helium

Step-by-step explanation:

Density=mass / volume

Volume=2600 cubic meters of helium

Density=0.1755 kilograms per cubic meters

Mass=x

Find mass, x

Density=mass / volume

Mass=Density × volume

=0.1755 * 2600

=456.3 kg

The balloon contains 456.3 kg of helium

the matches are

-2(2x+5) ≤ -7(x+4)         x<=-6

4x-3x-1                          x<=-1

5(x-3)9(x+1)                   x>=-6

3(x-4)+5 2x-9                x>=-2

Generally, Inequality is a mathematical statement that compares two values or expressions and indicates whether they are equal or not equal, or which one is greater or smaller. Inequalities are expressed using symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

For example, 5 < 8 is an inequality that indicates that 5 is less than 8, and x + 3 ≥ 7 is an inequality that indicates that the value of x plus 3 is greater than or equal to 7.

Inequalities are commonly used in algebra and other branches of mathematics to represent relationships between quantities.

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The correct matching of the inequalities can be shown from the calculations below

Inequalities are an important tool in mathematical modeling and optimization problems, where they are used to express constraints and objective functions.

Using the principle of inequalities we have;

1) -2(2x + 5) ≤ - 7(x + 4)

-4x -10 ≤ -7x -28

-4x +7x ≤ -28 + 10

3x ≤ -18

x ≤ -6

2) 4x - 6/2 ≥ 3x - 1

4x - 6 ≥ 6x - 2

4x - 6x ≥ -2 + 6

-2x ≥ 4

x  ≤ -2

3) 5(x - 3) ≤ 9(x + 1)

5x - 15  ≤ 9x + 9

5x - 9x  ≤ 9 + 15

-4x  ≤ 24

x ≥ -6

4) 3(x - 4) + 5 ≥ 2x - 9

3x - 12 + 5≥ 2x - 9

3x - 2x ≥ -9 + 12 -5

x ≥ -2

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Answer:

\( {x}^{2} + 9x + 20\)

Step-by-step explanation:

1) Use FOIL method: (a + b) (c + d) = ac + ad + bc + bd.

\( {x}^{2} + 5x + 4x + 20\)

2) Collect like terms.

\( {x}^{2} + (5x + 4x) + 20\)

3) Simplify.

\( {x}^{2} + 9x + 20\)

Therefor, the answer is x² + 9x + 20.