what is the problem 10.5-9.67

Answer:

x= -1 and 5

hope that helps

The solutions to the quadratic equation \(4(x+2)^2=36\) are x = -5 and x = 1.

Given the following data:

In this exercise, you're required to determine the value of x by solving for the factors (roots) of the given quadratic equation.

In Mathematics, the standard form of a quadratic equation is given by;

\(ax^2 + bx + c =0\)

Where:

Dividing both sides by 4, we have:

\(4(x+2)^2=36\\\\(x+2)^2=9\)

Taking the square root of both sides, we have:

\(x+2=\pm3\\\\x=\pm 3-2\)

x = -5 or 1.

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Let the random variable p represent a randomly selected prize amount the expected value of p is $3.90  by using probability.

Prize                $1          $5            $10            $20              $50

Probability     0.60      0.30         0.05           0.04              0.01

It is based on the possible chances of something to happen. The theoretical probability is mainly based on the reasoning behind probability. For example, if a coin is tossed, the theoretical probability of getting a head will be ½.

The expected value is defined as the the sum of each outcome is multiplied by its probability.

p=x1p1+x2p2+x3p3+x4p4

p=1.0.60+5.0.30+10.0.05+20.0.04

p=3.90

Therefore, the correct option is A, i.e. $ 3.90 is the expected value of P.

Three Types of Probability

Classical: (equally probable outcomes) Let S=sample space (set of all possible distinct outcomes).

Relative Frequency Definition.

Subjective Probability.

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Answer:

The missing value is -9

Step-by-step explanation:

Given

\(-7 = _ -(-2)\)

Required

Determine the missing value

Represent _ with a variable

\(-7 = x -(-2)\)

Open the bracket

\(-7 = x -1*-2\)

\(-7 = x + 2\)

Subtract 2 from both sides

\(-7 - 2 = x + 2 - 2\)

\(-9 = x\)

Reorder

\(x = -9\)

Hence, the missing value is -9

Answer:

The answer is 4=−2+6

Step-by-step explanation:

I checked on khan

The coordinates of the point that is 2/4 the way from A to B are (1, 7).

The coordinates of the point that divides a segment into a fractional component, n (n+m), or an arbitrary ratio, n:m, are given by:

   x = [n ⁄ (n+m)] (x₂ - x₁) + x₁  and y = [n ⁄ (n+m)] (y₂ - y₁) + y₁

Given:

For this problem, n = 2 and m = 2 since (2 ⁄ (2+2) = 2 ⁄ 4,  ( x,₁ y₁) =(-2, 5) and ( x₂, y₂) = (4, 9)

Where n and m are both positive integers, [n (n+m)] is the required distance ratio from the beginning position, (x₁, y₁)  are the coordinates of one endpoint, and (x₂, y₂) are the coordinates of the other endpoint.

x = [n ⁄ (n+m)] (x2 - x1) + x1

  = (2/4 ) (4 - (-2)) + (-2)

  =  (2/4 ) (4 + 2) + (-2)

  = (2/4 ) × 6 + (-2)

  =  3 - 2 = 1

y = [n ⁄ (n+m)] (y2 - y1) + y1

  =  (2/4 ) (9 - 5) + 5

  =  (2/4 ) (4) + 5

   =  2 + 5 = 7

Therefore, the coordinates of the point are (1, 7).

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copper. it has a denser weight

The derivative of y = x^2cos(x) - xsin(x) is y' = 2xcos(x) - x^2sin(x) - sin(x) - xcos(x).

To find y' (the derivative of y) for the function y = x^2cos(x) - xsin(x), we can use the product rule and the chain rule.

Let's differentiate each term separately:

For the term x^2cos(x), we can use the product rule:

d/dx (x^2cos(x)) = (2x)(cos(x)) + (x^2)(-sin(x)) = 2xcos(x) - x^2sin(x)

For the term -xsin(x), we can use the product rule as well:

d/dx (-xsin(x)) = (-1)(sin(x)) + (x)(-cos(x)) = -sin(x) - xcos(x)

Now, let's put it all together:

y' = 2xcos(x) - x^2sin(x) - sin(x) - xcos(x)

Simplifying, we have:

y' = 2xcos(x) - x^2sin(x) - sin(x) - xcos(x)

So, the derivative of y = x^2cos(x) - xsin(x) is y' = 2xcos(x) - x^2sin(x) - sin(x) - xcos(x).

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To find an overestimate and an underestimate of the quantity of pollutants that escaped during the first six months, which differ by exactly one ton from each other, measurements would need to be taken at least six times during the six months.

To make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month, we can use the highest and lowest measurement, respectively. Therefore, an overestimate would be 30 tons (highest measurement), and an underestimate would be 20 tons (lowest measurement).

To make an overestimate and an underestimate of the total quantity of pollutants that escape for the whole six months, we can use the sum of all measurements and the lowest measurement multiplied by six, respectively. Therefore, an overestimate would be 1020 tons (sum of all measurements), and an underestimate would be 120 tons (lowest measurement multiplied by six).

To find an overestimate and an underestimate of the quantity of pollutants that escaped during the first six months, which differ by exactly one ton from each other, measurements would need to be taken at least six times during the six months. This is because if we take measurements at the beginning and end of each month, we will have six measurements, which will give us a range of six tons (difference between the highest and lowest measurement). Therefore, we would need to take more frequent measurements to find a difference of exactly one ton. If we take measurements every 10 days, for example, we will have 18 measurements in total, which will allow us to calculate a more accurate estimate of the quantity of pollutants that escaped during the first six months.

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Step-by-step explanation: (-2,-4)

Answer:

20

Step-by-step explanation:

As 5 = 25%

25% x 3= 75% or 15

So 75% Plus 25% 100%

(15+5=20)

Answer:

f(-3) = 6

Step-by-step explanation:

P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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Answer:

-11

Step-by-step explanation:

7 + 3↑2 (-5 + 1) ÷ 2

7 +  3↑2(-4)  ÷ 2

7+9(-4) ÷ 2

7+(-36) ÷ 2

7-18

-11

Answer:

Im not sure what the arrow is for but

7 + 3.2 (-5 + 1) ÷ 2= 8.2

Step-by-step explanation:

7+3.2=10.2

(-5+1)÷2= -2

-2+10.2= 8.2

ANSWER: 8.2

The leading coefficient of the polynomial 4x \(-2x^4\) is -2.

To determine the leading coefficient of a polynomial, we need to identify the coefficient of the term with the highest degree. In this case, the polynomial 4x \(-2x^4\) has two terms: 4x and \(-2x^4\).

The term with the highest degree is \(-2x^4\), and its coefficient is -2. Therefore, the leading coefficient of the polynomial is -2.

The leading coefficient is important because it provides information about the shape and behavior of the polynomial function. In this case, the negative leading coefficient indicates that the polynomial has a downward concave shape.

It's worth noting that the leading coefficient affects the end behavior of the polynomial. As x approaches positive or negative infinity, the \(-2x^4\) term dominates the expression, leading to a decreasing function. The coefficient also determines the vertical stretch or compression of the polynomial graph.

Understanding the leading coefficient and its significance helps in analyzing and graphing polynomial functions and gaining insights into their behavior.

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Answer:

Greatest prime factor of \(nt\) is 7.

Step-by-step explanation:

Given that

Two positive integers are \(n\) and \(t\).

(1) Greatest Common Factor or HCF of \(n\) and \(t\) is 5.

(2) Least Common Multiple or LCM of \(n\) and \(t\) is 105.

To find:

The greatest prime factor of the product \(nt\) = ?

Solution:

First of all, let us learn about a property of HCF and LCM of two numbers.

The product of two numbers \(p\) and \(q\) is equal to the product of their HCF and LCM.

\(p \times q =LCM\times HCF\)

Using this property for the given numbers:

\(n\times t =5\times 105\\OR\\nt =5\times105\)

Now, let us make prime factors of \(5 \times 105\) to find the greatest of the prime factors.

\(5\times 105 = 5\times 5 \times 21 =5\times 5 \times 3 \times \bold{7}\)

So, the prime factors of \(5 \times 105\) are 5, 5, 3 and 7.

Greatest prime factor of \(nt\) is 7.

Answer: x ≥ -80

Step-by-step explanation:

-1/2x ≤ 40

1/2x ≤ -40

x ≥ -80

The value of the given expression of subtraction 0.75–0.5, in simplest fractional form is 1/4.

Use the concept of subtraction defined as:

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

The given expression is:

0.75–0.5

After removing the decimal it can be written as,

75/100 - 5/10

Now simplifying it, we get

(75-50)/100 = 25/100

Now convert 25/100 in their simplest form:

Since 25x4 = 100

Therefore,

25/100 = 1/4

Hence,

The simplest fractional value of 0.75–0.5 is 1/4.

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The given statement is FALSE.

If one or more data items are much greater than the other items, the median, rather than the mean, is more representative of the data.

When one or more data items are much greater than the other items, these extreme values can greatly influence the mean.

When you have a skewed distribution, the median is a better measure of central tendency than the mean

The median and mean can only have one value for a given data set. The mode can have more than one value

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Answer:

820

Step-by-step explanation:

795 + 25 = 820$

(L2) The Circumcenter Theorem states that the circumcenter of a triangle is equidistant from each vertex of the triangle.

The Circumcenter Theorem is a fundamental concept in geometry that states that the circumcenter of a triangle is equidistant from each of its vertices. In other words, the circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.

The circumcenter plays a crucial role in the geometry of triangles, as it is the center of the circumcircle, which is the circle that passes through all three vertices of the triangle.

The circumcircle has several important properties, such as the fact that the length of the circumcircle's circumference is equal to twice the length of the triangle's longest side.

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To find the minimum score required for an A grade, we need to determine the cutoff point that corresponds to the top 13% of scores.

Given that the scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5, we can use the standard normal distribution to calculate the cutoff point. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the top 13% is approximately 1.04. To find the corresponding raw score, we can use the formula:

x = μ + (z * σ)

where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values, we have:

x = 69.5 + (1.04 * 9.5) ≈ 79.58

Rounding this to the nearest whole number, the minimum score required for an A grade would be 80. Therefore, a student would need to score at least 80 on the test to achieve an A grade according to the professor's grading scheme.

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The values of the equations are 7) y = -3/4x + 3, 8) x = -3/2y + 6 and 9) C = (5/9)(F - 32)

To solve for the indicated variables in the given equations, we'll isolate the variable on one side of the equation.

Here are the solutions for each case:

7) 3x - 4y = 12; for y:

Step 1: Start with the equation: 3x - 4y = 12

Step 2: Move the term with y to the other side by subtracting 3x from both sides: -4y = -3x + 12

Step 3: Divide both sides by -4 to solve for y: y = (-3x + 12) / -4

Therefore, the solution for y is: y = -3/4x + 3

8) y = -2/3x + 4; for x:

Step 1: Start with the equation: y = -2/3x + 4

Step 2: Move the term with x to the other side by subtracting 4 from both sides: -2/3x = y - 4

Step 3: Multiply both sides by -3/2 to solve for x: x = (-3/2)(y - 4)

Therefore, the solution for x is: x = -3/2y + 6

9) F = (9/5)C + 32; for C:

Step 1: Start with the equation: F = (9/5)C + 32

Step 2: Subtract 32 from both sides: F - 32 = (9/5)C

Step 3: Multiply both sides by 5/9 to solve for C: (5/9)(F - 32) = C

Therefore, the solution for C is: C = (5/9)(F - 32)

Hence the values of the equations are 7) y = -3/4x + 3, 8) x = -3/2y + 6 and 9) C = (5/9)(F - 32)

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Given :

Original price , P .

Discount given , 35 % .

To Find :

The final discounted price of the object .

Solution :

Let final price is x .

Now , x = p - (35% of p) .

\(x=p-\dfrac{35}{100}p\\\\x=0.65p\)

Therefore , final price of the object is 0.65p ,

Hence , this is the required solution .

Answer:

The scale factor is One-eighth

The coordinates of C prime are (0.75, 0.5).

The coordinates of B prime are (–0.25, 1).

Step-by-step explanation:

A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A prime has coordinates of (–0.25, 0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply. The coordinates of C prime are (0.75, 0.5). The coordinates of C prime are (1.5, 1). The scale factor is One-eighth. The scale factor is 8. The scale factor is One-fourth. The scale factor is 4. The coordinates of B prime are (–0.25, 1). The coordinates of B prime are (–0.5, 2).

Solution:

Transformation is the movement of a point from its initial location to a new location. If an object is transformed then all its points are also transformed. Types of transformation are reflection, dilation, rotation and translation.

Dilation is the enlargement or reduction in size of an object. If a point X(x, y)  is dilated about the origin by a factor k, its new location is X'(kx, ky)

Triangle ABC with vertices at A(–2, 4), B(–2, 8), and C(6, 4) is dilated to give A'(-0.25, 0.5)

kA = A'

(-2k, 4k) = (-0.25, 0.5)

-2k = -0.25, hence k = 1/8

Therefore the scale factor is 1/8 (one- eight)

The new location of the vertices is B'(-0.25, 1), C'(0.75, 0.5)

Answer:

a, c, and g

Step-by-step explanation:

just took the test on edge. hope this helps :)))

Answer:

It is the third one down.

Step-by-step explanation:

The two smaller angles would be the same measurement because the angle bisector cuts the big angle down the middle.    So, if the big angle was 90°, the two smaller angels would be 45°.  

Answer:

3

Step-by-step explanation:

its 3 because An angle bisector is a ray that divides an angle into two congruent angles  if you multiply the measurement of GLH by two you will get the measurement of GLI. Which is the same as adding the measurement of GLH and HLI since they have the same measurement

Congruent: The same

Answer:

The answer is c

Step-by-step explanation:

Answer:

Solve for each exponent.

3^4 is 81.

3^7 is 2187.

So the fraction is 81/2187.

Now we need to simplify it.

That's 1/27.

C is the correct answer to the problem.

Answer:

40.6°

Step-by-step explanation:

The building and the shadow are perpendicular to each other (or intersect at a 90° angle).

Meaning that this is a triangle problem.

We are making a triangle from the building to the shadow and a diagonal line connecting the ends of both.

We need to find the angle at the top of the building. The opposite side of the angle is 84. The adjacent side is 98.

Opposite / Adjacent = Tan X

So if we go to the calculator:

\(tan^{-1} (\frac{84}{98}) = 40.6\)

The answer is 40.6 degrees.