19)
Is the product of √8 and √98 rational or irrational? Justify your answer.

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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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

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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The solution of the given system of equation is (-19, 55).

In the given question we have to find the solution to the system of equations:

y = -3x-2 and 5x + 2y = 15

We can solve the system of equation using the substitution method.

In substitution method we have to put the the value of one variable from one equation to the other equation.

We have to equations:

y = -3x-2...................................(1)

5x + 2y = 15.............................(2)

Now putting the value of y from the equation 1 in equation 2

5x + 2(-3x-2) = 15

Now solving the equation using the distribution method.

5x - 6x - 4 = 15

Simplifying

-x - 4 = 15

Add 4 on both side we get

-x = 19

Now the value of x is -19.

Now putting the value of x in equation 1

y = (-3)*(-19)-2

y = 57-2

y = 55

Hence, the solution of the given system of equation is (-19, 55).

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The right question is:

What is the solution to the system of equations y = -3x-2, 5x+2y=15?

Answer:

Yup it the first one

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

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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Using the SAS(Side-Angle-Side) Theorem, ASA(Angle-Side-Angle) Theorem, SSS(Side-Side-Side) Theorem and AA(Angle-Angle) Theorem we can easily prove that two triangles are similar.

If two triangles have an equal number of comparable angles and sides, they are said to be similar.

Similar figures are items that have two or more figures with the same shape but varying sizes.

Using the SAS(Side-Angle-Side) Theorem, ASA(Angle-Side-Angle) Theorem, SSS(Side-Side-Side) Theorem and AA(Angle-Angle) Theorem we can easily prove that two triangles are similar.

A portion on one polygon must correspond perfectly to a part in another polygon that is in a similar place. Even though two triangles are oriented differently from one another, you can conclude that their angles match if you can spin them to align in the same direction and notice that their angles are similar.

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The solution of the given system of equation is (8, -22).

In the given question we have to find the solution to the system of equations:

y = -4x + 10 and y = -2x - 6

We can solve the system of equation using the substitution method.

In substitution method we have to put the the value of one variable from one equation to the other equation.

We have to equations:

y = -4x + 10...................................(1)

y = -2x - 6.............................(2)

Now putting the value of y from the equation 1 in equation 2

-4x + 10 = -2x - 6

Add 6 on both side we get

-4x + 16 = -2x

Add 4x on both side, we get

2x = 16

Divide by 2 on both side, we get

x = 8

Now the value of x is 8.

Now putting the value of x in equation 1

y = -4(8) + 10

y = -32 + 10

y = -22

Hence, the solution of the given system of equation is (8, -22).

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The right question is:

What is the solution of the system of equations y = -4x + 10 and y = -2x - 6?

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.

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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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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The two groups have the same ratio of students with solo to total students.

We should know that ration is the quotient of two numbers. In mathematics ration is defined as  as the number of times one number contains another number

The given parameters are

25 choir students

5 solo students from the choir

20 Orchestra students

4 solo orchestra students

Expressing the ratio of total choir students to total orchestra students and solo choir  students to solo orchestra students we have

25:20 = 5:4

Dividing the left hand side by 5

5:4 = 5:4

In conclusion the ratio of total choir students to total orchestra students and solo choir students to solo orchestra students are the same = 5:4

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Discontinuity can be determined by looking for sudden changes in values or jumps in the graph of the function. If there is a break or gap in the graph, the function is discontinuous.

Discontinuity occurs when a function fails to be defined at a certain point within its domain, resulting in a sudden change in the graph of the function. Discontinuity can be determined by plotting the graph and looking for sudden changes in values or jumps in the graph. If the graph shows a break or gap, then the function is discontinuous. Discontinuity can also be determined by examining the behavior of the function at a certain point. If the function values diverge as the point is approached from either side, then the function is discontinuous at that point. Additionally, a function can be discontinuous at a point if it does not obey the rule of continuity, which is that the function's value must be equal to the limit of the function as the point is approached from both sides. If the limit does not exist at a point, then the function is discontinuous at that point.

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The customer can afford to buy 2 whole bags of candy.

In this problem, the customer started with $52.02 in his pocket and spent $37.85 on items, leaving him with $14.17 to spend on candy. Each bag of candy costs $5.50, so the customer can afford to buy $14.17 / $5.50 = 2.6 bags of candy. However, since the customer can only buy whole bags of candy, he can only afford to buy 2 whole bags of candy. This is the final answer to the problem.

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

Step-by-step explanation:

Answer:

15 ft

Step-by-step explanation:

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.

Answer:

Line

Step-by-step explanation:

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

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 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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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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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:

highway: 70 × 2 = 140 miles

side roads: 35 × 1 = 35 miles

total distance: 140 miles + 35 miles = 175 miles

im sorry if the answer is wrong :)

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.

For a total of 8 sales the employee earns about 57 tokens

An equation is about two expressions, either arithmetic or algebraic, that are related with a "=" sign that indicates equality of expressions.

Equations can be graphed, they are used to model many problems and theories.

If the employee by amount of sales obtains a greater benefit each time, which is stipulated as follows:

We must put together an equation that relates the amount of sales with the amount of  tokens.

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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

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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Answer:

Step-by-step explanation:

from the drawing BC = EF

we solve with an equation

x - 4 = 19

x = 19 + 4

x = 23