Thank you so much to whoever answers :)
They are two separate questions btw
​

Answer:

k = -1, 20

Step-by-step explanation:

k² - 19k - 20 = 0

k² + 1k - 20k - 20 = 0  ==> 1 * (-20) = -20   and   -20 + 1 = -19

k² + k - 20k - 20 = 0  

k(k+1) - 20(k+1) = 0   ==> factor and simplify

(k-20)(k+1) = 0

k-20=0  ==> k=20

k+1=0  ==> k=-1

k = -1, 20

Answer:

k² - 19k - 20

(k-20) (k+1) = 0

k-20 = 0

k=20

k+1 = 0

k= -1

k= 20 and -1

Answer:

2 3/8 + 1 1/3        (LCD is 24)

= 2 9/24 + 1 8/24

= 3 17/24 cups

Step-by-step explanation:

Answer:

3 17/24

Step-by-step explanation:

2 3/8  + 1  1/3

2 3/8 = 19 /8

1 1/3 = 4/3

The common factor is 24

57/24 + 32/24 = 89/24

89/24 = 3 17/24

This is a multiplication issue, as shown by the usage of the multiplication symbol. The multiplication issue is the solution.

When data is represented by symbols, mathematical statements are easier to comprehend. For all real numbers, the four fundamental arithmetic operations in mathematics are:

+ Addition

Subtraction (-) (-)

Multiplication (x) (x)

() Division

As we proliferate, there are more elements in the group. The product, the two factors, and the product are all components of a multiplication problem. The numbers 6 and 9 are the factors in the multiplication equation 6 x 9 = 54, and 54 is the result. The multiplication formula is represented as Multiplicand x Multiplier = Product. The first figure is multiplicand (factor). the multiplier following figure (factor). The outcome of multiplying the multiplicand and multiplier is the product.

3 x 1 , shows a multiplication signs between them.

which signifies It is a multiplication problem with result 3.

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Answer: The correct answer is 77.77 %

Step-by-step explanation: To calculate the percentage, number or ratio that can be expressed as a fraction of 100.

The hypotenuse and the known leg are squared. Subtract the squared length of the hypotenuse from the squared length of the leg. Finally, compute the result's square root.

A triangle is a polygon having three vertices and three edges. It is a fundamental geometric figure. Triangle ABC represents a triangle with three vertices: A, B, and C. Any three non-collinear points constitute a unique triangle and, by extension, a unique plane in Euclidean geometry. Triangles are polygons with three vertices that have three sides. The triangle's angles are constructed by joining the three sides end to end at a point. The triangle's three angles add up to 180 degrees.

Here,

Square the hypotenuse and the known leg. Subtract the squared length of the leg from the squared length of the hypotenuse. Finally, compute the square root of the result.

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Answer:

Line

Step-by-step explanation:

You could draw a line up the center, and it would be symmetrical.

Answer:

When two pairs of corresponding angles and one pair of corresponding sides (not between the angles) are congruent, the triangles are congruent. Two triangles with one congruent side, a congruent angle and a second congruent angle.

The value of x such that the equation "2x + 9 + 3x + x = 15" has One Solution(Unique Solution) is x = 1 .

The Solution of an equation is defined as the values that makes the equality in equation true. In other words, a solution is a value that is  substituted for the unknown ,and the equation becomes an equality .

the equation is given as 2x + 9 + 3x + x = 15 ;

we have to find the value of x for such that it has One Solution ;

adding the like terms together ,

we get ;

6x + 9 = 15 ;

simplifying further ,

we get ;

6x = 15 - 9

6x = 6

x = 6/6 = 1

So , the solution of the the given equation such that it has one solution is x = 1 .

The given question is incomplete , the complete question is

Complete equation so the statement about its solution is true.

Find the value of x such that the equation 2x + 9 + 3x + x = 15 has One Solution . x =      .

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According to the distribution , The general formula for the variance varies, For the discrete and continuous probability distribution, The expected values formula varies. The variance is given by   [tex]E(X^2)-(E(X))^2[/tex] .

The mathematical formalization of a number or object that is subject to chance events is known as a random variable. It is a function or mapping between a space of potential outcomes, commonly real numbers, to a space of measurement.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

If distribution is discrete  , E(X) = x*P(x).

If distribution is continuous , E(x) = x *f(x).

Variance = [tex]E(X^2)-(E(X))^2[/tex]

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The amount of yards south that the intersection of Fort Street and Clover Street is given as follows:

450 yards.

The slope of an inclined object is obtained as the division of the vertical distance of the street by the horizontal distance of the object.

The distances are classified as follows:

The slope of the street is given as follows:

-3.

The east distance is given as follows:

150 yards.

Thus the south distance can be identified applying the slope as follows:

-3 = S/150

S = -3 x 150

S = -450 yards.

The negative number represents that the direction is south, hence the distance is only of 450 yards.

The problem is given by the image shown at the end of the answer.

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Answer:

15 ft

Step-by-step explanation:

Another point on the line is (0,2).

The equation of a line, in point-slope form, is given by:

[tex]$$y-y_0=m\left(x-x_0\right)$$[/tex]

In which [tex]$\mathrm{m}$[/tex]is the slope and the point is [tex]$\left(x_0, y_0\right)$[/tex]

Slope of [tex]$9 / 5$[/tex] if one of the points on the line is [tex]$(-10,-16)$[/tex]

This means that [tex]$m=\frac{9}{5},\left(x_0, y_0\right)=(-10,-16)$[/tex]. So

[tex]$$\begin{aligned}& y-y_0=m\left(x-x_0\right) \\& y-(-16)=\frac{9}{5}(x-(-10)) \\& y+16=\frac{9}{5}(x+10)\end{aligned}$$[/tex]

Which of the following could be another point on the line?

We have to find a point for values of [tex]$x$[/tex] and [tex]$y$[/tex] which gives us an identity. So

x=-5, y=-6

Lets see

[tex]$$\begin{aligned}& -6+16=\frac{9}{5}(-5+10) \\& 10=\frac{9 * 5}{5} \\& 10=9 > \text { False }\end{aligned}$$[/tex]

So this is not the answer.

[tex]$$\begin{aligned}& x=4, y=11 \\& 11+16=\frac{9}{5}(4+10) \\& 27=9 * 14 / 5\end{aligned}$$[/tex]

False

Option C:

[tex]$$\begin{aligned}& \mathrm{x}=0, \mathrm{y}=2 \\& 2+16=\frac{9}{5}(x+10) \\& \frac{90}{5}=18 \\& 18=18\end{aligned}$$[/tex]

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Number of Rows per Worksheet: 1,048,576. Number of Rows per Worksheet: 16,384. Total cells per Worksheet: 17,179,869,184.

Now, According to the question:

The specifications for Excel Worksheet current versions include: Number of Rows per Worksheet: 1,048,576. Number of Rows per Worksheet: 16,384. Total cells per Worksheet: 17,179,869,184.

How many sheets can Excel have?

Set default number of worksheets

It means you can set the number of how many worksheets initially be in a workbook. Inside the General options, you will find an option "Include this many sheets". You can change it to between 1 to 255. Step 1: First of all, open MS Excel and create a new workbook.

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The length of the arc of the curve from point p to point q of the equation  x2 = (y − 4)3 as calculated is 8 units.

as to calculated  the length of the arc we will differentiate the given equation x² = (y-4)³ with respect to y

=> 2x = 3( y - 4 )²

=> 2x = 3( y²  -8y + 16)

=> 2x = 3 y²  - 24y + 48

=> 3 y²  - 24y + 48 - 2x = 0

now , x = 5 - 1 = 4

y = 8 - 1 =7

Therefore, length = 3 x 8²  - 24 x 8 + 48 - 2x 4 = 0

=192 - 192 - 8 = -8

On taking modulus we get the length as 8 units.

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Pick any two pairs of equations from the system. Eliminate the same variable from each pair using the Addition/Subtraction method. Solve the system of the two new equations using the Addition/Subtraction method. Substitute the solution back into one of the original equations and solve for the third variable.

In order to solve systems of equations in three variables, known as three-by-three systems, the primary goal is to eliminate one variable at a time to achieve back-substitution. A solution to a system of three equations in three variables (x,y,z)  is called an ordered triple.

To find a solution, we can perform the following operations:

Graphically, the ordered triple defines the point that is the intersection of three planes in space. You can visualize such an intersection by imagining any corner in a rectangular room. A corner is defined by three planes: two adjoining walls and the floor (or ceiling). Any point where two walls and the floor meet represents the intersection of three planes.

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The angle, in degrees, between the diagonal line and the left edge of the flag is 67.8 degrees.

To find the angle between the diagonal line and the left edge of the flag, you can use the Pythagorean theorem to calculate the length of the hypotenuse (the diagonal line) and one of the legs (the horizontal distance from the bottom-left corner to the end of the diagonal line). The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

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Weighing the available information and assigning a probability.

A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It solely represents the subject's thoughts and prior experience and does not include any formal computations. A "gut instinct" used when making a deal is an illustration of subjective probability.

So, as per the definition of subjective probability

Dividing the number of favourable events by the number of possible events and Studying the fraction of times in the past a particular event has happened, both can be determined through calculations mathematically accurate but for Weighing the available information and assigning a probability we might use a "gut instinct". Thus

Weighing the available information and assigning a probability.

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For the given statement f(x)= a(x-h)² + k is the vertex form of a parabola.

If a < 0, h> 0 and k < 0 Option B is correct.

Vertex of a Parabola

Given that:

f(x)= a(x-h)² + k

If a < 0, h> 0 and k < 0 then

f(x) = -1 (x - 1)^2 - 1

     = -1([tex]x^{2} + 1^{2} - 2x[/tex]) - 1

     =  [tex]-x^{2} -1 + 2x[/tex] - 1

f(x) = -([tex]x^{2} - 2x + 2[/tex])

while making graph using the equation , we can find the vertex of f(x) is in quadrant 4 and  has no y-intercepts.

Thus , the option B is correct.

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The change of base formula is the formula that, by utilizing solely log calculations with a base of 10, will provide you with the result of a log with a different base.

The change of base formula is the formula that, by utilizing solely log calculations with a base of 10, will provide you with the result of a log with a different base. The formula instructs you to divide the parenthesized integer by the log of your base after taking the log of the number in parentheses.

The change of base formula is the formula that, by utilising solely log calculations with a base of 10, will provide you with the result of a log with a different base. The formula instructs you to divide the log of the value in the parenthesis by the log of your base.

[tex]log_{b}(x)=\frac{log_{10}(x)}{log_{10}(b)}[/tex]

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The mean for a given set of observations is 6.286.

The mean is the average of a set of variables in mathematics and statistics. The mean may be calculated in a variety of methods, including the simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean. A data set's mean (average) is calculated by summing all of the numbers in the set and then dividing by the number of values in the set. When a data collection is arranged from least to largest, the median is the midway value. The mode is the number that appears the most frequently in a data collection.

Here,

given set of observation,

=3,5,6,7,9,6,8

=(3+5+6+7+9+6+8)/7

=6.286

The mean for given set of observation is 6.286.

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Answer:

[tex]a=1, h=-5, k=-24[/tex]

Step-by-step explanation:

[tex]f(x)=x^2+10x+1 \\ \\ =x^2+10x+25+1-25 \\ \\ =(x+5)^2-24 \\ \\ \therefore a=1, h=-5, k=-24[/tex]

Line MN is the side in between the 2 angles which are ∠LMN and ∠LNM in triangle △LMN.

An edge is a specific kind of line segment that connects two vertices of a polygon, polyhedron, or higher-dimensional polytope in geometry.

An edge, also known as a polygon side, is a line segment that forms the boundary of a polygon.

The sides of the angle are the two straight lines that unite to make it.

The intersection of two lines or rays that make an angle is known as its vertex.

So, according to the given figure, the side between ∠LMN and ∠LNM in triangle △LMN is side MN.

Therefore, line MN is the side in between the 2 angles which are ∠LMN and ∠LNM in triangle △LMN.

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The amount of water added by the pool maintenance to make the pool 90% full is 178,200 gallons.

The amount of water an Olympic-sized pool can hold is, 660,000 gallons.

The pool is 63% full at the moment

The of water in the pool now is:66% of  660,000 gallons

If the pool is 90% full then the amount of water in the pool is:

90% of 660,000 = 594,000 gallons

The amount of water added by the pool maintenance is:

Amount of water added = 90% of 660,000 - 63% of 660,000

594,000 - 415,800

= 178200                                  

Thus, the amount of water added by the pool maintenance to make the pool 90% full is 178,200 gallons.

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The effect of good debt to ones credit score is that is would increase it. That is option B.

A credit score is defined as the expression that can be used to show a customer's worth regarding the payment of their debts.

A customer's credit score can be rated as follows:

A good debt is the ability of a customer to quickly pay off their debt which has been noted as one of the qualities that raise their credit score.

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Answer:

Yup it the first one

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The correct answer is c.) the probability of getting a number less than 3 is equal to 0.33 but does not change the probability of the next trial.

The probability of getting a number less than 3 on a standard die is always equal to 0.33, regardless of the number of times the die is rolled. The probability of an event occurring does not change based on the number of times the event has occurred in the past. Each roll of the die is an independent event, meaning that the outcome of each roll does not affect the probability of the next roll.

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Answer: blah blah blah join my chatlet write join/johan chatlet with no spaes

Step-by-step explanation:

Answer:

Step-by-step explanation:

The value of y is unclear given the information provided. However, if BC intersects AD at E, then it stands to reason that y would be equal to the value of x. This is because, if BC intersects AD at E, then the two lines are parallel and therefore have the same value for y.