The any number for which the rational expression is undefined when x = 6.
What is denominator?In a fraction, the denominator is the bottom number that indicates the total number of equal parts into which the whole is divided, and how many of those parts are being considered.
According to question:The rational expression is undefined when the denominator is equal to zero, because division by zero is undefined.
So, we need to find a number that makes the denominator 6 - x equal to zero.
6 - x = 0
x = 6
Therefore, the any number for which the rational expression is undefined when x = 6.
For example, in the fraction 3/4, 4 is the denominator, which means the whole is divided into four equal parts, and we are considering three of those parts. The denominator is also used to represent the unit or size of each part.
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Answers and step by step explanations please?(Just one example)
Refer to Where Is Niagara Falls? for a complete version of this text.
In Chapter 3, people realize that building a bridge across the gorge of Niagara Falls will bring more tourists to the area.
Which detail best explains why building the first bridge to cross the gorge is such a difficult task?
“Even at the narrowest spot, the gorge was eight hundred feet wide.”
“But there was still one thing missing—something the businessmen knew they needed.”
“A ferryboat was built to take people from the US side to Canada.”
“…tourists had a perfect view of some of the crazy, dangerous things some people would soon do…”
Answer:
Step-by-step explanation:
the answer is B, i just took a test on that and got that question right, trust me!
Answer:
B
Step-by-step explanation:
Did test
The question is asked in the attached file,. Kindly someone answer it in the best way.
According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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In ΔUVW, u = 76 inches, w = 71 inches and ∠W=69°. Find all possible values of ∠U, to the nearest degree.
The value of the angle U from the calculation is 88 degrees.
How do you solve a triangle?The sine rule can be applied in a variety of situations, such as determining a triangle's unknown side lengths or angles. The sine rule can be used to locate the missing side or angle if you know the lengths of two sides and the measure of an angle (not necessarily the included angle).
By the use of the sine rule;
u/Sin U = w/Sin W
Thus;
76/Sin U = 71/Sin 69
Sin U = 76Sin 69/71
U = Sin-1 (76Sin 69/71)
U = 88 degrees
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27 is 3 times as many as 9
Answer:
That is true
Step-by-step explanation:
3 × 9 = 27
hope this helps...
Answer:
yes
Step-by-step explanation:
because if you add 9 and 9 is 18 and add 9 more and is 27
What is the slope of a line that is perpendicular to the line represented by the equation x – y = 8? 1 −1 8
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
\(x-y=8\implies -y=-x+8\implies y=\stackrel{\stackrel{m}{\downarrow }}{1}x-8\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ 1 \implies \cfrac{1}{\underline{1}}} ~\hfill \stackrel{reciprocal}{\cfrac{\underline{1}}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{\underline{1}}{1} \implies \text{\LARGE -1}}}\)
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A city has a population of 330,000 people. Suppose that each year the population grows by 8.25%. What will the population be after 9 years?
Use the calculator provided and round your answer to the nearest whole number.
Answer:
The population in 8 years will be 673,543 people.
Step-by-step explanation:
Giving the following information:
Present Value (PV)= 330,000
Number of periods (n)= 9 years
Growth rate= 8.25% = 0.0825
To calculate the population in 8 years given a growth rate of 8.25% a year, we need to use the following formula:
FV= PV*(1 + g)^n
FV= 330,000*(1.0825^9)
FV= 673,542.6
The population in 8 years will be 673,543 people.
Challenge time! Isn't time to give your brains a break? Its a fun challenge! EARN 20 POINTS NOW
Answer:
The answer is 64
Step-by-step explanation:
If you find this answer helpful pls mark it the brainliest answer
it's easy 64 the key is in the pic.
Which shows the correct way to
calculate the percent change if the
original value of your stock was $750
and the new value of your stock is
$1,000?
A. (1,000+ 750)/750 = 230%
B. (750-1,000)/1,000 = -25%
C. (1,000-750)/750 = 33%
The correct way to calculate the percent change between the original value of $750 and the new value of $1,000 is option C.
C. (1,000 - 750)/750 = 250/750 = 1/3 ≈ 0.3333 = 33.33%
Therefore, the correct answer is option C, which represents a percent change of approximately 33.33%.
Write a quadratic function in standard form, with a leading coefficient of 1, given x-intercepts 7 and 10. Use "y" as the dependent variable
and "x" as the independent variable.
Standard form of quadratic function with leading coefficient 1,
x-intercept 7 and 10 and y as dependent variable and x as independent variable is equal to y = x² -17x +70.
As given in the question,
Given :
y is the dependent variable of the required quadratic function.
x is the independent variable of the required quadratic function.
Leading coefficient of quadratic function is 1
X-intercept of the required function is 7 and 10
Standard form of required quadratic function is equal to
y = k (x-a)(x -b)
Here k=1 , a=7 , b=10
y = 1 (x -7)(x - 10)
⇒ y = x² -7x -10x +70
⇒ y= x² -17x +70
Therefore, standard form of quadratic function with leading coefficient 1, x-intercept 7 and 10 and y as dependent variable and x as independent variable is equal to y = x² -17x +70.
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find the discriminant of -2x^2+8=x^2-28
show work please
Answer:
432
Step-by-step explanation:
Use the values of A, B, C to find the discriminant
If a firm’s total fixed costs are $11,639, total revenues are $28,200, and profit is $4,776, what must the firm’s total variable cost be?
Answer:
Step-by-step explanation:
if the other midpoint of a line segment is (3,5) and one endpoint is (-1,-2), what is the other endpoint?
the midpoint of the line is (3,5)
one endpoint is (-1, -2)
now for another point,let the other point is (x, y)
so by midpoint formula,
\(3=\frac{-1+x}{2}\)\(\begin{gathered} 6=-1+x \\ x=6+1 \\ x=7 \end{gathered}\)and
\(\begin{gathered} 5=\frac{-2+y}{2} \\ 10=-2+y \\ y=10+2 \\ y=12 \end{gathered}\)thus, the other point is (7,12)
b(n) = -1 (2)^n-1 What is the 5th term in the sequence?
Answer:
The answer is - 16Step-by-step explanation:
\(b(n) = - 1 ({2})^{n - 1} \)where
n is the number of terms
From the question since we are finding the 5th term
n = 5
Substitute the value into the above formula and solve
We have
\(b(5) = - 1({2})^{5 - 1} \\ = - 2 ^{4} \)
We have the final answer as
- 16Hope this helps you
marian has a savings account with $21,390 if she earns $4,100 per month, what is the maximum she can spend on a house?
The answer is: 4100x + 21390
We need to know the number of months Marian wants to save to get the specific value.
Step-by-step explanation:
In the equation, we will need to calculate the maximum amount of money Marian can spend on the house.
We can calculate the maximum amount of money Marian can spend on a house by multiplying her monthly income by the number of months she would want to save.
Solve the problem:Marian earns $4,100.00 per month
Suppose Marian wants to save for x months, then the maximum amount that she can spend on the house is:
4100 * x + 21390
Draw the conclusion:The answer is: 4100x + 21390
We need to know the number of months Marian wants to save to get the specific value.
Hope this helps!
140 es múltiplo de 100
Answer:
Step-by-step explanation:
No it isn't. 140/100 is NOT a whole number so 140 isn't a multiple of 100.
simplify: 9x^4-27x^6/3x^3
simplify: 9x^4-27x^6/3x^3
we have the expression
\(\begin{gathered} 9x^4-\frac{27x^6}{3x^3} \\ \\ 9x^4-9x^{(6-3)} \\ 9x^4-9x^3 \end{gathered}\)we have the expression
\(\begin{gathered} \frac{9x^4-27x^6}{3x^3} \\ \frac{9x^4}{3x^3}-\frac{27x^6}{3x^3} \\ 3x-9x^3 \end{gathered}\)this is the answer
At a time t hours after taking a tablet, the rate at which a drug is being eliminated is r(t) = 50(e^-0.1 t - e^-0.20 t) mg/hr. Assuming that all the drug is eventually eliminated, calculate the original dose. Enter the exact answer. The original dose was _______mg
At a time t hours after taking a tablet, the rate at which a drug is being eliminated is r(t) = 50(e^-0.1 t - e^-0.20 t) mg/hr. Assuming that all the drug is eventually eliminated, calculate the original dose. Enter the exact answer. The original dose was 0 mg.
A limit is a value that a function or sequence approaches as the input or index approaches a certain value. Limits are a fundamental concept in calculus, and they are used to define important ideas such as derivatives and integrals. They are also used in other areas of mathematics, such as real analysis and mathematical analysis.
The rate at which the drug is being eliminated is the derivative of the amount of drug present at time t. We can write this as:
r(t) = dA(t)/dt = 50(e^-0.1 t - e^-0.20 t) mg/hr
If we integrate both sides of this equation with respect to t, we get:
A(t) = ∫r(t) dt = ∫50(e^-0.1 t - e^-0.20 t) dt
This integral can be evaluated using integration by parts. Let u = e^-0.1 t and dv = e^-0.20 t. Then du = -0.1 e^-0.1 t and v = -1/(0.2) * e^-0.20 t = -5e^-0.20 t. We can then write:
A(t) = -5 ∫e^-0.1 t * e^-0.20 t dt + (1/0.2) ∫e^-0.1 t dt
The first integral on the right-hand side can be evaluated using the substitution y = -0.3t, which gives:
A(t) = -5 ∫e^y dy + (1/0.2) ∫e^-0.1 t dt
The first integral is simply -5e^y, and the second integral is -5e^-0.1 t. Substituting these results back into the expression for A(t) gives:
A(t) = -5(-5e^-0.3 t) + (1/0.2)(-5e^-0.1 t)
Combining constants and simplifying gives:
A(t) = 25e^-0.1 t - 25e^-0.3 t
We are told that all the drug is eventually eliminated, so A(t) approaches 0 as t approaches infinity. This means that the original dose A(0) must be equal to the limit of A(t) as t approaches 0.
Taking the limit as t approaches 0 gives:
A(0) = lim t → 0 [25e^-0.1 t - 25e^-0.3 t]
This limit is equal to 25 - 25 = 0, so the original dose was 0 mg.
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what number is 1/10th of 8,000,000
Answer:
800,000
Step-by-step explanation:
To do this, simply divide the number by 10. 8000000/10 = 800,000.
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a tuxedo rental service charges $150 flat fee for a suit plus $50 per additinal day. The total cost of the tuxedo is $300. How many days was the tuxedo rental for?
The tuxedo was rented for 4 days.
Let's start by assigning variables to the unknowns. Let "x" be the number of additional days rented, and "d" be the total number of days rented (including the first day).
From the given information, we know that the flat fee for the rental is $150, so the cost of the additional days is the total cost minus the flat fee, which is $300 - $150 = $150. We also know that the cost for each additional day is $50. Therefore, we can set up the equation:
$150 + $50x = $300
Subtracting $150 from both sides, we get:
$50x = $150
Dividing both sides by $50, we get:
x = 3
So the tuxedo was rented for 3 additional days, making the total number of days rented:
d = 1 + 3 = 4
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Marco wants to know how much the other students in his mathematics class study. He recorded the data he collected in
the following table.
Time spent studying per week (in hours)
2.0
5.0
1.0
2.5
2.5
3.5
0.0
4.5
2.5
4.0
3.5
3.0
2.0
1.5
4.0
2.0
0.5
3.0
1.0
3.0
3.5
1.5
1. Construct a histogram for the data.
Answer:
Step-by-step explanation:
This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
Find the distance between the points (7,-5) and(2,7)
Answer:
13
Step-by-step explanation:
\( \sqrt{ {(7 - 2)}^{2} + {( - 5 - 7)}^{2} } = 13\)
Identify the volume of the pyramid.
21 in.
8 in.
7 in.
Answer
392in³
Step-by-step explanation:
Volume=base X height divided by 3 OR length X width X height divided by 3
length=8in
width=7in
height=21in
So, Volume = 8x7x21
1,176in³
Now divide by 392in³
Kindly solve the following with the cirrect method .SOLVE ALL . I'll give brainliest + thanks + follow
The following percentages are listed below:
12.5 %40 %6.25 %6.667 %41.667 %75 %How to use percentages in real life situationsIn this question we have seven cases of real life situations in which percentages are used. Mathematically speaking, percentages are represented by the following expression:
x = r / r' × 100 (1)
Where:
r - Real quantityr - Maximum quantityNow we proceed to determine quantities related to percentages:
2.8 mm as a per cent of 2.24 cm
x = (2.8 mm / 22.4 mm) × 100 %
x = 12.5 %
What per cent of 1.5 m is 60 cm?
x = (60 cm / 150 cm) × 100 %
x = 40 %
What per cent of 2 kg is 125 g?
x = (125 g / 2000 g) × 100
x = 6.25 %
What per cent of R 6 to 40 p?
x = (40 / 600) × 100
x = 6.667 %
What per cent of a day is 10 h?
x = (10 h / 24 h) × 100
x = 41.667 %
What per cent of 7 1 / 3 m in 5 1 / 2 m ?
x = [(11 / 2) / (22 / 3)] × 100 %
x = 75 %
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Write this number in standard form 3 thousands, 16 tens,7 ones
Find the slope of the line that goes through the points (-1,-4) and (9, 20).
Et's begin by listing out the information given to us:
Please help me with this
Answer:
z = 99
Step-by-step explanation:
\(\frac{z}{9}\) + 4 = 15 ( subtract 4 from both sides )
\(\frac{z}{9}\) = 11 ( multiply both sides by 9 to clear the fraction )
z = 99
Decide if each statement below is
true or false.
45 tens is equal to 450.
12.3 is equal to 123 ones.
80 tens is greater than 6 hundreds.
43,200 is less than 50 thousands.
60 hundreds = 6,000
(a) 45 tens is equal to 450. :- True
(b) 12.3 is equal to 123 ones. :- True
(c) 80 tens is greater than 6 hundreds. :- True
(d) 43,200 is less than 50 thousands. :- True
(e) 60 hundreds = 6,000 :- True
Consider the first statement,
45 tens are equal to 450
So, 45 tens mean 45 times 10 is written as:
45 × 10 = 450
Hence, it's true.
Consider the second statement,
12.3 is equal to 123 ones.
Now, 123 ones is equal to 123 times 1.
123 × 1 = 123
Hence, the statement is true.
Consider the third statement,
80 tens is greater than 6 hundreds.
Now 80 tens = 80 × 10 = 800
Now, 6 hundreds = 6 × 100 = 600
Now, 800 > 600
Hence, the statement is true.
Consider the fourth statement.
43,200 is less than 50 thousands.
Now, 50 thousands = 50 × 1000 = 50,000
We know,
50,000 > 43,200
Therefore, the statement is true.
Consider the fifth statement,
60 hundreds = 6000
Now, 60 hundreds = 60 × 100 = 6000
Therefore, the statement is true.
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How many lengths of 2-tenths meter are in 1 meter?
Answer:
5
Step-by-step explanation:
Given that :
Total Length = 1 meter
Length per measurement = 2- tenth
2 - tenth meter = 2 / 10 = 0.2 m
Number of 0.2m obtainable from 1 meter :
1 meter ÷ 0.2 m
1 / 0.2
= 5
5 lengths of 2-tenth meter are obtainable from 1 meter
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36. Know the difference between exponential, quadratic and linear equations.
Linear Equation: y = mx + b
They tend to have same common differences. They increase linearly. They always have a straight line while making a graph. For every x-value there is only one y-value.
Quadratic Equation: y = ax² + bx + c
They have constant second differences. For every y value there are two x values. They always make a smile [ ∪ ] when the coefficient of x² is positive and sad [ ∩ ] curve on the graph when coefficient of x² is negative.
Exponential Equation: y = a(b)ˣ
Here the values of y changes more rapidly than the value of x. The values shifts too quickly in a exponential graph. For every y value there is only one x value. Has constant ratio.
Exponential equation
Exponential equations have a rate of change and a exponent with respect to the rate of change
The general form is
y=ab^xwhere c is any real no .
Quadratic equation
The exponential equations which have degree as 2 are called quadratic equationsThe general form is
y=Ax²+Bx+CLinear equation
The equation whose graph is a straight line is called linear equation
The general form is
y=mx+b