What are the zeros of the polynomial 4x²?.

The formula for the logarithmic function  log A ± log B is given by

log A  + log B = log ( AB )

log A  - log B = log ( A / B )

As given in the question,

For the given logarithmic function is given by :

Addition of two logarithmic function represents the multiplication of two numbers.

log ( A × B ) = log A + log B

Example : log ( 6 )

= log ( 2 × 3 )

= log 2 + log 3

Subtraction of two logarithmic function represents the division of two numbers.

log ( A ÷ B ) = log A - log B

Example :

log ( 5 ÷ 2 ) = log 5 - log 2

Therefore, the formula of the logarithmic function  log A ± log B is given by :

log A  + log B = log ( AB )

log A  - log B = log ( A / B )

The above question is incomplete, the complete question is:

What is the formula for logarithmic function log A ± log B?.

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Answer:

When you solve a linear equation and get 2=2, this means that the equation is true and there is no solution. This is because both sides of the equation are equal, so there is no value that can satisfy both sides of the equation at the same time.

Answer: It means that the equation is balanced and both sides have the same value (they are equal)

1. The correct answer is 46 percent, 2. The correct answer is .07, 3. The correct answer is (34%,58%), 4. The correct answer is (32%,60%)

The term "standard error" is used to refer to the standard deviation of various sample statistics, such as the mean or median. For example, the "standard error of the mean" refers to the standard deviation of the distribution of sample means taken from a population. The smaller the standard error, the more representative the sample will be of the overall population.

The relationship between the standard error and the standard deviation is such that, for a given sample size, the standard error equals the standard deviation divided by the square root of the sample size. The standard error is also inversely proportional to the sample size; the larger the sample size, the smaller the standard error because the statistic will approach the actual value.

1. Let's calculate the percentage or proportion of patients that were dogs:

p = (7 + 4 + 5 + 5 + 2)/50 = 23/50 = 0.46

The correct answer is 46%

2. Let's estimate the standard error, using the given formula, this way:

S.e = √ (0.46 * 0.54)/50 = √0.049 = 0.07

The correct answer is .07

3. Let's calculate the confidence limits of the 90% confidence interval, this way:

Confidence limits = proportion +/- 1.645 * standard error

Confidence limits = 0.46 +/- 1.645 * 0.07

Confidence limits = 0.46 +/- 0.12

Confidence limits = 0.34, 0.58

The correct answer is (34%,58%)

4. Let's calculate the confidence limits of the 95% confidence interval, this way:

Confidence limits = proportion +/- 1.96 * standard error

Confidence limits = 0.46 +/- 1.96 * 0.07

Confidence limits = 0.46 +/- 0.14

Confidence limits = 0.32, 0.60

The correct answer is (32%,60%)

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The inequality you provided is a linear inequality in one variable x. To find the solution to this inequality, we need to follow these steps:

First, we will simplify the inequality by combining like terms on the left side:

5 + 4x <= 6x + 4

4x <= x + 9

Next, we need to get x alone on one side of the inequality by subtracting x from both sides:

4x-x <= 9

3x <= 9

We will divide both sides of the inequality by 3:

x <= 3

The final step is to check our solution by plugging it back into the inequality and making sure that it satisfies the inequality: 5 + 4(3) <= 6(3) + 4

5 + 12 <= 18 + 4

17 <= 22  which is true

So the solution to the inequality 5 + 4x <= 6x + 4 is x <= 3. It's worth mentioning that this is the only solution that this inequality has since it's a linear inequality which has only one solution.

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The value of Edubucks would be determined by a variety of factors, including:

Additionally, speculation and sentiment could also play a role in determining the value of Edubucks.

Edubucks is a virtual currency created by the educational platform Edmodo. It is used to reward students for completing tasks and participating in activities on the platform.

Also, Edubucks could also be described as the virtual currency created to motivate or compensate the effort made on certain task done by students which is meant to boost their morales and aid their eagerness to doing more.

Therefore, the correct answer is as given above

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In the realm of real numbers, there is no solution for square root of any negative number. Therefore, there is no negative range for the function f(x) = sqrt(x). The range extends from 0 to any number that is positive.

The range is [0,]=y: y≥0}. By looking at its defining equation, f(x)=x2, we can algebraically determine its domain. We are aware that the square root of a negative number cannot be taken. As a result, the expression that lies beneath the radical has to be positive or zero, not negative.

However, negative square roots are also possible. Consequently, the number -6 can be a principal square root of the number 36, but not a square root. As a result, the principal square root and the negative square root both have the same number.

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The product of  398×5 is equal to (400-2)×5

According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Given here: The product of two numbers as 398×5

Now 398 can be rewritten as 400-2

Thus the expression 398×5 =(400-2)×5 ( Using distributive property)

                                1990   = 1990

Thus they are also equivalent.

Hence, The product of  398×5 is equal to (400-2)×5

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If the degree of the function is even then the end behaviour of the graph depends upon the leading coefficients of the function .

The End Behaviour of the graph of the polynomial is defined by the degree and the leading coefficient of the polynomial .

the end behaviour for the even degree polynomial is given as ;

(i) If the degree of the polynomial is even and the lead coefficient is also positive, then both the ends of graph of polynomial will point up.

(ii) If the degree is of polynomial is even and the lead coefficient is negative, then both ends of graph of polynomial  will point down.

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Answer:

x = 65

y = 65

Step-by-step explanation:

This is a special right triangle with angle measures as follows:

90° - 45° - 45°

The side lengths are represented respectively as follows:

a√2 - a - a

The side length that sees angle measure 90°, hypotenus,   is given as 65√2.

The legs are congruent because this is a isosceles triangle at the same time so each = 65.

5n³ + 4n² -4n + 720 is the difference between these two given expressions.

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given a system of equation 3n³+ 4n²– 9 and -2n³+ 4n – 9³

We need to find the difference between These given Systems of equation

Difference = 3n³+ 4n²– 9 -( -2n³+ 4n – 9³)

Difference = 3n³+ 4n²– 9 + 2n³- 4n + 9³

Difference = 5n³ + 4n² -4n + 720

therefore, The difference between these two given equations is 5n³ + 4n² -4n + 720.

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Answer:

-f(x)

Step-by-step explanation:

Figure H is just Figure G reflected across the x-axis meaning that you just have to slap a negative symbol in front of whatever function gave you Figure H.

If a polynomial function can be factored, you can factor it and set each component's value to zero to find its zeros.

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The value of the equation is A = 21g + 3gh

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = g3 ( 7 + h )   be equation (1)

On simplifying the equation , we get

Applying the distributive property , we get

A = g3 ( 7 ) + g3 ( h )

A = 21g + 3gh

Therefore , the value of A is 21g + 3gh

Hence , the equation is A = 21g + 3gh

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The sign of the discriminant [tex]b^{2}-4ac[/tex] of a quadratic equation determines how many real solutions there are to that quadratic equation.

The value of the expression is the discriminant of a quadratic equation in standard form : This quantity specifies how many different ways a quadratic problem can be solved.

Solutions to quadratic equations can be 0, 1, or 2. If the discriminant has a positive value, then there are two genuine solutions for x, and the graph of the solution has two different x-intercepts. There is only one actual solution for x if the discriminant's value is zero, which means that the solution's graph only has one x-intercept.

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The value of w has been solved to be 57.7 m.

Trigonometric functions are set of functions which can be applied so as to determine the unknown value of a side or angle of a right triangle. Some of the basic functions are: Sine, Cosine, Tangent etc.

In the given question, to solve for w let us applying sine function of the angle.

Sin θ = opposite/ hypotenuse

We have;

Sin θ = opposite/ hypotenuse

Sin 25 = 10/ w

w = 10/ sin 25

  = 57.6877

w = 57.7 m

The value of w is 57.5 m.

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The required Venn diagram for the given condition has been shown.

A Venn diagram is a graphical representation of the relationship between sets or groups of items. It consists of overlapping circles, each representing a different set, with the overlapping areas showing the items that belong to both sets.

Here,
U = 0 ≤ n ≤ 30
A = 2 ≤ n ≤ 30  [multiple of 2]
B = 3 ≤ n ≤ 30 multiple of 3
From above, the rectangle represents the universal set u, and the circle represents the two subsets A and B.

Thus, the required Venn diagram for the given condition has been shown.

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The equation for the inverse variation is:

d = 12/c

And evaluating that we can see that when c = 3, d = 4.

A genearl inverse variation equation can be written as:

y = k/x

Where k is a constant.

Here we know that there is an inverse variation between c and d, then we can write:

d = k/c

We know that d = 4/3 when c = 9, replacing that we will get:

4/3= k/9

9*(4/3) = k

12 = k

Then the equation is:

d = 12/c

Now we can evaluate this in c = 3 so we get:

d = 12/3

d = 4

When c =3, d = 4.

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Answer:

396

Step-by-step explanation:

I found this answer by using standard multiplication but mentally.

4x9 is 36

and 4x9 is also 36, but for the sake of this way of solving we must add a zero the end of this answer making it 390

Now you have to add these two together:

    36

+ 360

  396

Hope this helps :)

The bias that is taken care of here is that; Some of the population may not have access to other types of phones. Option A

When we talk about a bias in research we mean the kind of scenario that is able to cause the result of a research to become lobe sided. In other words, it is that which introduces inaccuracy to a research.

A lot of people if not everyone has access to a mobile phone and this would help more people to be able to participate in the interview. Some of these people may not have any of the other kinds of phone.

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Answer:

A

Step-by-step explanation:

took the test

When deciding whether to use substitution or elimination to solve a system of linear equations, it is important to consider the size and complexity of the system.

Substitution is generally recommended for systems with two equations and two variables, as it can be a simpler and quicker approach. For larger systems with more equations and/or variables, elimination may be a better option as it can reduce the number of steps required to solve the system.

When using either method, it is important to keep track of all the steps you take and double check your work for accuracy. Additionally, both methods involve solving for one variable in terms of the others, so if you are dealing with an equation that already has only one unknown variable, then substitution could be the best approach. Ultimately, it is important to assess each situation individually and decide which method would be most effective.

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A falling object's height above the ground at time t is calculated using the formula s (t) = 5t2 + v0t + s0, where s is measured in metres, t is measured in seconds, v0 is the starting velocity in metres per second, and s0 is the starting location in meters. Thus, option D is correct.

((0 - 24t2) - 30t) + 4 = 0 Pull out like factors:  -16t2 - 30t + 4 =   -2 • (8t2 + 15t - 2)

Factoring 8t2 + 15t - 2

The last term, "the constant", is -2 Multiply the coefficient of the first term by the constant   8 • -2 = -16. Rewrite the polynomial splitting the middle term using the two factors found in step 2 above1 and 16

                  8t2 - 1t + 16t - 2

Add up the first 2 terms, pulling out like factors:

                 t • (8t-1)

                2 • (8t-1)

Add up the four terms of t • (8t-1)

              (t+2) •  (8t-1)

Therefore, 112 s the values of b.

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The value of m∠DCQ is 31°.

What is a measure of an angle?

An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Here, we have

Given: mAD = 100, & m∠D = 99.

First, we find the measure of arc ABC

we know that

The inscribed angle is half that of the arc it comprises

so

m∠D = (1/2)[arc ABC]

we have

m∠D = 99°

substitute and solve for arc ABC

99° = (1/2)[arc ABC]

198° = [arc ABC]

Now, we find the measure of arc DC

we know that

arc ABC+arc AD+arc DC = 360° -----< by complete circle

substitute the given values

198°+100°+arc DC = 360°

arc DC = 360°-298°

arc DC = 62°

Now, we find the measure of angle DCQ

we know that

The inscribed angle is half that of the arc it comprises

so

m∠DCQ = (1/2)[arc DC]

we have

arc DC = 62°

substitute

m∠DCQ = (1/2)[62°] = 31°

Hence, the value of m∠DCQ is 31°.

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A circle is a closed two-dimensional shape because every point in the plane that makes up a circle is evenly separated from the "centre."

The collection of all points in the plane that make up a circle are all equally spaced from a certain point known as the "centre," making the form a closed two-dimensional shape. The reflection symmetry line is created by all lines that traverse the circle. Additionally, it is symmetrical in rotation around the centre at all angles.

The two foci are located in the middle of a circle, a particular type of ellipse.

a circle's equation, represented as (xh)2+(yk)2=r2, where r is the radius and (h,k) is the centre. The equation for the circle, which has a radius of 1, is x2+y2=1. Its centre is at the origin. x2+y2+cx+dy+e=0 is the formula for the equation of a circle.

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The complex conjugate of 4 − 3i is;

4 - (-3i) = 4 + 3i .

Now, According to the question:

The complex number is basically the combination of a real number and an imaginary number. The complex number is in the form of a+ib, where a = real number and ib = imaginary number. Also, a,b belongs to real numbers and i = √-1.

Hence, a complex number is a simple representation of addition of two numbers, i.e., real number and an imaginary number. One part of it is purely real and the other part is purely imaginary.

The complex conjugate of a + bi is a - bi

So,  the complex conjugate of 4 − 3i is;

4 - (-3i) = 4 + 3i .

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Answer:

AC ≈ 4.28

Step-by-step explanation:

using the tangent ratio in the right triangle

tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{3}{AC}[/tex] ( multiply both sides by AC )

AC × tan35° = 3 ( divide both sides by tan35° )

AC = [tex]\frac{3}{tan35}[/tex] ≈ 4.28 ( to the nearest hundredth )

The cost of the whole group would be: (24 * p) + 12 or 24p + 12.

The expression (24 * p) + 12 represents the total cost of the group. The "24 * p" part represents the cost of the individual tickets, with "p" representing the number of people in the group. The "12" represents the one-time group registration fee. The expression calculates the total cost by multiplying the number of people in the group by the cost of an individual ticket, and then adding the group registration fee to that total.

Specifically, the operation being used is arithmetic, specifically multiplication and addition. The expression provided is used to calculate the total cost for a group by multiplying the number of people in the group by the cost of an individual ticket and then adding the group registration fee to that total. This is a basic mathematical operation that is a part of arithmetic.

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Answer: p(2√2) = 17

Step-by-step explanation:

Given,

p(x) = x² + 2√2x + 1....(i)

To find p(2√2) , we need to substitute x=2√2 in the given equation

p(2√2) = (2√2)² + 2√2(2√2) + 1

            = 8 + 8 + 1

            = 17

So p(2√2) is 17

Answer: 17

Step-by-step explanation:

[tex]P(x) = x^{2} + 2\sqrt2x + 1[/tex]

[tex]P (2\sqrt{2}) = 2\sqrt{2})^2 + 2\sqrt{2}*2\sqrt{2} + 1[/tex]

[tex]P (2\sqrt{2}) = 8 + 8 + 1[/tex]

[tex]P (2\sqrt{2}) = 17[/tex]

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The angle measure of  m∠B = 24°.

Two angles are supplementary.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

Two angles are supplementary.

The m∠A is five times the sum of the m∠B plus 7.2°.

That means,

5(B + 7.2) + B = 180

6B = 180 - 36

B = 24.

Therefore, the angle measures of m∠B = 24°.

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The binomial factor for the given expression is x = 4.

In mathematics, a binomial is an expression that is made up of two terms. The binomial factor of an expression is the part of the expression that is written in the form (x - a)^n, where a is a constant and n is a positive integer.

The binomial factor of x³ is x³. The equation x³ = 64 is not a binomial equation, as it does not have the form (x - a)^n = 0, where a is a constant and n is a positive integer. If you are trying to solve for x in the equation x³ = 64, one solution is x = 4. However, there are also three other solutions, which are the cube roots of 64 that are not real numbers (they are complex numbers).

Hence, The binomial factor for the given expression is x = 4.

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