PLEASE HELP FAST

bx = -5

The complete square of the given numbers are-

Part a: 6(x + 1/4)^2 + 69/8

Part b: (x + 5/2)^2 + 27/2

Part c: -(x + 3)^2 + 18

For the given question

Part a: 6x^2+3x+9

Tale 6 commom;

6(x^2 + x/2 + 3/2)

Add and subtract 1/16 to the equation;

6(x^2 + x/2 + 1/16 - 1/16 + 3/2)

6((x^2 + x/2 + 1/16) - 1/16 + 3/2)

6((x + 1/4)^2 + 23/16)

6(x + 1/4)^2 + 69/8

Part b: x^2+5x+26

Add and subtract 25/4 to the equation;

x^2 + 5x + 25/4 - 25/4 + 26

(x^2 + 5x + 25/4) - 25/4 + 26

(x + 5/2)^2 + 27/2

Part c: -x^2+6x+9

Taking - 1 common.

-(x^2 - 6x - 9)

Add and subtract 9 in the equation;

-(x^2 - 6x + 9 ) - 9  - 9)

-((x^2 - 6x + 9 ) - 9  - 9)

-((x + 3)^2 -18)

-(x + 3)^2 + 18

Thus, the complete square of the umber are found.

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Answer: 123

Step-by-step explanation:

what you mean bae

The measure of angle ABC is given as follows:

m < ABC = 145º.

Two angles are defined as supplementary angles when the sum of their measures is of 180º.

In a parallelogram, we have that the opposite angles are supplementary.

The opposite angles for this problem are given as follows:

Hence the measure of angle ABC is given as follows:

m < ABC + 35º = 180º.

m < ABC = 145º.

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Answer:

-31, /~26, -5, 6

Step-by-step explanation:

Answer:

a 1/2

Step-by-step explanation:

1/2

This solution of g(x) has no real solutions, so g⁻¹ (-7) does not exist.

To find g⁻¹ (-7), we need to solve for x in the equation g(x) = -7.

First, we need to determine which part of the piecewise function to use. Since -7 is less than 5, we know that we need to use the first part of the function: g(x) = 5x² if x ≤ -3.

So, we set g(x) = 5x² equal to -7 and solve for x:

5x² = -7

x² = -7/5

This equation has no real solutions since the square of any real number is always nonnegative. Therefore, g⁻¹ (-7) does not exist in the real numbers.

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The expressions for the lengths of the segments obtained using vectors notation are;

a. i. \(\overrightarrow{LA}\) = q - (1/2)·p  ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)

b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;

\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)

A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)

a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) =  \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)

\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p

\(\overrightarrow{LA}\) = q - (1/2)·p

ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × (p - q)

b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)

\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)

\(\overrightarrow{LA}\) = q - (1/2)·p

\(\overrightarrow{AN}\) = (2/7) × (p - q)

Therefore;

\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)

\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)

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Answer:

area of shaded reason=9.82inch²

Step-by-step explanation:

The probability is the measure of the chance that the event will occur as a result of and experiment. Mutually exclusive probability of an event complement of event a relative frequency.

What kind of probability is founded on the observed data?

What three forms of probability are there?

Three main categories of probability exist:

Probability in theory. Scientific Probability. Probability axiomatically.

Probability refers to the possibility that a specific occurrence will occur. Probability is the proportion of the number of likely outcomes to the total number of outcomes of an event.

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Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

In this instance, we're assuming that we can use the following function to simulate the US GDP, or gross domestic product, in dollars:

\(GDP = 11(1.0220)^{t}\)

We can also see that the exponential model formula given by: governs this formula.

\(GDP = 11(1.0220)^{t\)

Where a denotes the starting sum, b the model's growth/decay rate, and t is the number of years since 1950.

The value of b in this instance is provided by:

b = 1.022

And when we calculated r as the growth rate, we obtained:

1.022 = 1 + r

r = 1.022 - 1

r = 0.022

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

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Answer:

32 1/3

Step-by-step explanation:

Answer:

The answer is \(31\frac{9}{10}\).

Step-by-step explanation:

Make sure to follow this formula

\(2(lw)+(lh)+(wh)\)

\(2(1.3x1.5)+(1.3x5)+(1.5x5) \\= 2(1.95+6.5+7.5)\\=31.9=31\frac{9}{10}\)

Option C is correct. When there is no other way to achieve a specific research goal  minimal deception considered ethical in research.

When there is no other way to achieve a specific research goal. Minimal deception is considered ethical in research only when it is necessary to achieve a specific research goal, and there is no other way to achieve that goal without using deception. In these cases, the use of deception should be justified and minimized as much as possible.

Researchers should consider the potential harm to participants, and carefully weigh the potential benefits of the research against any potential harm.

Additionally, the use of deception should be disclosed to participants as soon as possible after the completion of the study, so that they can understand what has occurred and why. Overall, researchers should strive to be transparent and to minimize the use of deception whenever possible, and to use it only when it is necessary to achieve a specific research goal that cannot be accomplished through other means.

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The total surface area of the cylinder is approximately 116.28 cm² (rounded to two decimal places).

To find the surface area of the cylinder, we need to first find the height of the cylinder. We know that the circumference of the base of the cylinder is equal to the length of the square paper, which is 10 cm.

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Since we know that the circumference is 10 cm, we can solve for the radius:

10 = 2πr

r = 5/π

Now that we know the radius, we can find the height of the cylinder. The height is equal to the length of the square paper, which is 10 cm.

So, the surface area of the lateral surface of the cylinder is given by:

Lateral Surface Area = 2πrh

= 2π(5/π)(10)

= 100 cm²

The surface area of each end of the cylinder (i.e., top and bottom) is equal to πr². So, the total surface area of both ends is:

Total End Surface Area = 2πr²

= 2π(5/π)²

= 50/π cm²

Therefore, the total surface area of the cylinder is:

Total Surface Area = Lateral Surface Area + Total End Surface Area

= 100 + (50/π)

≈ 116.28 cm² (rounded to two decimal places)

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The 50th percentile is a commonly used statistic in data analysis. It represents the value below which 50% of the data falls.

In other words, it divides the data into two equal parts. There are two other statistics that have the same value as the 50th percentile, namely the second quartile and the median. The second quartile is the middle value of the data when it is arranged in ascending or descending order.

It is also known as the 50th percentile or the median. The first quartile is the value below which 25% of the data falls, and the third quartile is the value below which 75% of the data falls.

The mean is another commonly used statistic in data analysis. It is the sum of all the values in the data divided by the total number of values. Unlike the median, the mean is affected by extreme values or outliers in the data. This means that if there are outliers in the data, the mean may not be a good measure of central tendency.

The mode is the value that occurs most frequently in the data. It is another measure of central tendency that can be used in addition to the median and mean.

In summary, the 50th percentile is equivalent to the second quartile and the median. These statistics are all measures of central tendency that help to describe the distribution of data. The choice that best answers the question is option A: Second quartile; median.

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Answer: 6.8*10⁻⁴=0.00068

Step-by-step explanation:

\(6.8*10^{-4}=0.00068\)

The proof that of the above expression on the condition of a/b = c/d = e/f is given below.

Given: a/b = c/d = e/f

Let e/b = e/c = k

Then, a/b = k and c/d = k, so a = kb and c = kd

Now we have:

√((a⁴ +  c⁴)/  (b⁴ + d⁴))   = √(((k b) ⁴ + ( kd )⁴ )/(b ⁴ + d ⁴)  )

= √ (k ⁴ *  (b⁴ + d⁴ ) / (b⁴ + d⁴))

= k²

Let p = 1 and q = k², then:

(p  a² + q * c²)/(p * b² + q * d²) = (a² + k² * c²)/(b² + k⁴ * d²)

= (k² *   b² + k² *    d ²)/(b ² +   k ⁴ * d ²)

= k ²

Therefore, we have shown that √ ((a ⁴ + c ⁴)/(b ⁴ + d ⁴))   = (p x a ² + q * c ²) / (p * b ² + q * d² )

if a/b =  c/ d =  e/f.

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If decimal scaling normalization is applied to the given data set, the normalized value of the first reading, 9, would be 0.09.

To normalize the first reading, 9, we divide it by 100. Therefore, the normalized value of 9 would be 0.09.By applying the same normalization process to each value in the data set, we would obtain the normalized values for all readings. The purpose of normalization is to scale the data so that they fall within a specific range, often between 0 and 1, making it easier to compare and analyze different variables or data sets.

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Given that "S" varies inversely as "G", it is an Inverse Variation Relationship. Then, it has this form:

Where "k" is the Constant of Variation.

Knowing that:

When:

You can substitute values and solve for "k":

Then, the equation that models the situation is:

Substituting this value of "G" into the equation and evaluating:

You get:

Hence, the answer is:

Answer:4:3

Step-by-step explanation: We can first calculate the wins. 24/7 is 4 and 4x4 = 16. So, they won 16 games and lost the rest. 28-16 = 12. 16:12 is equal to 4:3.

The sign that makes the statement true is 2 5/8 > 2/5.

A fraction is a non integer that consists of a numerator and a denominator. A mixed fraction is a number that has a whole number and a proper fraction.  An example of a mixed fraction is 2 5/8. A proper fraction is a fraction is which the numerator is less than the denominator.  An example of a proper fraction is 5/8.

2 5/8 is greater than 2 /5. The inequality sign that is used to represent greater than is >. In order to determine the difference between the fraction, subtract 2/5 from 2 5/8.

Subtraction is the mathematical operation that is used to determine the difference between two or more numbers. The sign that is used to represent subtraction is -.

Difference in the fractions

\(2\frac{5}{8} - \frac{2}{5}\)

\(2\frac{25 - 16}{40}\) = \(2\frac{9}{40}\)

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To find a parametric equation of the line of intersection between the planes x+y=4 and 2x-y-z=2, we can set up a system of equations with the variables x, y, and z. Answer : The parametric equations x = 4 - t, y = t, z = -6 + 3t represent the line of intersection between the planes x+y=4 and 2x-y-z=2, where t is a parameter.

1. Start by solving one of the equations for one variable. Let's solve the first equation, x+y=4, for x in terms of y: x=4-y.

2. Substitute this expression for x into the second equation: 2(4-y)-y-z=2. Simplify: 8-2y-y-z=2.

3. Rearrange the equation to isolate z: -3y-z=-6. Solve for z: z=-6+3y.

4. Now we have expressions for x and z in terms of y. We can write the parametric equations using the parameter t:

  x = 4-t

  y = t

  z = -6+3t

The parametric equations x=4-t, y=t, z=-6+3t represent the line of intersection between the planes x+y=4 and 2x-y-z=2, where t is a parameter that varies along the line.

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The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.

Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.

The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.

In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

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Answer:

12

Step-by-step explanation:

1/6  = 2/12     11/12 = 11/12

Answer:

12

Step-by-step explanation:

6 =3×2

12=3×2×2

Least common denominator = 3×2×2 = 12

Answer:

\(\huge\boxed{\sf A \approx 483.8 \ m^2}\)

Step-by-step explanation:

Radius = r = 14 m

Angle = θ = 283°

π = 3.14

Area of sector = A = ?

\(\displaystyle A = \frac{\theta}{360} \times \pi r^2\)

Put the given data in the above formula.

Finding area of sector:

\(\displaystyle A = \frac{283}{360} \times (3.14)(14)^2\\\\A = 0.786 \times 3.14 \times 196 \\\\A \approx 483.8 \ m^2\\\\\rule[225]{225}{2}\)

The solution is, 1) f+g =3x^3+x^2+2x-9 and, 2)  f+g = x^2-6x +2√(x-2)+17

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that,

            g(x) = x^2+8x-9

so, f+g

=3x^3+x^2+2x-9

and,

             g(x)=2√(x-2)+10

so, f+g

= x^2-6x +2√(x-2)+17

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Answer:

35

Step-by-step explanation:

Angle QRS is an inscribed angle, so measure of angle QRS is half the measure of the intercepted arc, arc SPQ. Therefore arc SPQ is 125*2 = 250 degrees, and arc QRS is 360 - 250 = 110 degrees.

Angle QPS is an inscribed angle, and arc QRS is its intercepted arc. Therefore angle QPS is 110/2 = 55 degrees. Since PS is the radius of the circle, angle PQS, the angle inscribed in the semicircle, is 90 degrees. Since interior angles of the triangle QPS add up to 180 degrees, angle QSP is 180 - 90 - 55 = 35 degrees.

Angles QSP and UST are vertical angles, and by the vertical angles theorem, they are congruent. Therefore x = 35.

Answer:

g(0) = 3

Step-by-step explanation:

x=0 fits perfectly in the range -1<x<2:  -1<0<2 √

Hence:

g(x)=3 when x=0

Since x=0:

g(x) = g(0) = 3