the value of y is -5/8. So, In part (a), we found that the rational function f(x) = (5x + 20)/(x^2 - 20) had a vertical asymptote at x = -2√5 and x = 2√5, a horizontal asymptote at y = 0, an x-intercept at (-4, 0), a y-intercept at (0, -1), and a hole at (-4, 5/18).
To find the value of y when x = -6, we simply substitute -6 for x in the function:
f(-6) = (5(-6) + 20)/((-6)^2 - 20)
We simplify this expression by first multiplying 5 and -6 to get -30, and then adding 20 to get -10 in the numerator. In the denominator, we evaluate (-6)^2 to get 36, and then subtract 20 to get 16. So, we have:
f(-6) = -10/16
This fraction can be simplified by dividing both the numerator and denominator by 2:
f(-6) = (-10/2)/(16/2) = -5/8
Therefore, when x = -6, the value of y is -5/8.
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Which transformations, when performed together, would carry graph A onto graph B?
a. Translation and reflection
b. Translation and rotation
c. Reflection and dilation
d. Rotation and dilation
b. Translation and rotation, when performed together, would carry graph A onto graph B.
What combination of transformations carries graph A onto graph B?When we talk about transforming a graph, we are referring to changing its position, size, or orientation in the coordinate plane. In this case, the given options are translation, reflection, rotation, and dilation.
Translation involves shifting the entire graph horizontally and/or vertically without changing its shape or orientation. Reflection, on the other hand, is a transformation that mirrors the graph across a line. Rotation involves rotating the graph by a certain angle around a fixed point. Dilation refers to scaling the graph up or down by a factor, which affects both its size and shape.
Looking at the given options, only the combination of translation and rotation can carry graph A onto graph B. By performing a translation, we can shift the graph's position, and then by applying a rotation, we can change its orientation to match graph B. This combination allows for both a change in position and rotation without altering the graph's shape or size.
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help meee pleaseeeeee
Answer:
5\(\sqrt{7}\)
Step-by-step explanation:
Answer:
No ablo inglés.......
Step-by-step explanation:
ajaja
prove the following statement. assume that all sets are subsets of a universal set u. for all sets a and b, if ac ⊆ b then a ∪ b = u.
We can say that "For all sets A and B, if
A^c ⊆ B, then A ∪ B = U."
Given: All sets are subsets of a universal set U. For all sets A and B, if
A^c ⊆ B, then A ∪ B = U.
To prove:
A ∪ B = U.
Proof:
Let x ∈ U. Since all sets are subsets of U,
x ∈ A ∪ A^c.
We will have two cases to consider:
Case 1: x ∈ A.
In this case, x ∈ A ∪ B and we are done.
Case 2: x ∉ A.
In this case, x ∈ A^c and by our assumption, A^c ⊆ B.
Thus, x ∈ B.
Hence, x ∈ A ∪ B. So, U ⊆ A ∪ B.
Now, let y ∈ A ∪ B.
Then either y ∈ A or y ∈ B.
If y ∈ A, then y ∈ U since A ⊆ U.
If y ∈ B, then y ∈ U since B ⊆ U.
Thus, we have shown that A ∪ B ⊆ U.
Therefore, A ∪ B = U.
Hence Proved. This is the required statement. Hence, we can say that "For all sets A and B, if A^c ⊆ B, then A ∪ B = U."
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the total cost to rent a row boat is $ 14 times the number of hours the boat is used.write an equation to model this situation if c= total cost and h=number of hour
This is a simple one. we have the base price of 14 dollars for renting the boat. We also have an unknown number for the number of hours we decide to rent this boat.
The equation would be 14×h=c
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a paint machine dispenses dye into paint cans to create different shades of paint. the amount of dye dispensed into a can is known to have a normal distribution with a mean of 5 milliliters (ml) and a standard deviation of .4 ml. answer the following questions based on this information. find the dye amount that represents the 91st percentile of the distribution. z group of answer choices 5.038 ml 5.064 ml 4.464 ml 5.164 ml 5.536 m
The dye amount that represents the 91st percentile of the distribution is approximately 5.536 ml.
To find the dye amount that represents the 91st percentile of the distribution, we need to determine the corresponding z-score and then convert it back to the original scale using the mean and standard deviation.
Since the distribution is assumed to be normal, we know that 91% of the data falls below the 91st percentile. This means that there is 9% of data remaining above the 91st percentile. To find the z-score corresponding to the 9th percentile, we can use a standard normal distribution table or a statistical calculator.
Using a standard normal distribution table, we find that the z-score corresponding to the 9th percentile is approximately 1.34.
Now, we can convert this z-score back to the original scale using the formula:
X = μ + (z * σ)
where X is the value in the original scale, μ is the mean, z is the z-score, and σ is the standard deviation.
Plugging in the values:
X = 5 + (1.34 * 0.4)
X ≈ 5.536
Therefore, the dye amount that represents the 91st percentile of the distribution is approximately 5.536 ml.
Note: The rounding may differ depending on the level of precision required.
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Your class built a tepee to use in the school play. the tepee has a diameter of 16 16 feet and a height of 13.5 13.5 feet. what is the volume? use 3.14 3.14 for pi. round your answer to the nearest whole number.
Answer: Volume = (1/3) * 3.14 * 64 * 13.5 = 904.32 cubic feet.
Step-by-step explanation:
Volume = (1/3) * π * r^2 * h,
where π is approximately 3.14, r is the radius of the base, and h is the height of the cone.
Given that the diameter of the tepee is 16 feet, we can calculate the radius (r) by dividing the diameter by 2:
r = 16 / 2 = 8 feet.
Plugging the values into the formula, we have:
Volume = (1/3) * 3.14 * 8^2 * 13.5.
Calculating this expression:
Volume = (1/3) * 3.14 * 64 * 13.5 = 904.32 cubic feet.
Rounding this to the nearest whole number, the volume of the tepee is approximately 904 cubic feet.
3,200 g = ____________ kg
12 L = ____________ mL
200 cm = ____________ m
70,000 g = ___________ Kg
100 dL =_____________ L
60 m =______________ mm
Answer:
3,200 g = 3.2kg
12 L = 12,000mL 200 cm =2m 70,000 g = 70Kg 100 dL =10 L 60 m =60,000mm a little conversion table for you/ Conversion Tables and Methods to Use when converting
from Metric Units to Metric Units (Volume)
Some terms to remember
Meter – Length
Kilo – Thousand
Liter – Volume
Milli – Thousand
Gram – Mass/Weight
Centi – Hundred
Celsius – Temperature
Deci – Ten
Measure of Volumes
10 milliliters (ml) =
1 centiliter (cl)
10 centiliters =
1 deciliter (dl) = 100 milliliters
1 liter =
1000 milliliters
1 milliliter =
1 cubic centimeter
1 liter =
1000 cubic centimeters
100 centiliter =
1 liter (L) = 1,000 milliliters
1000 liters =
1 kiloliter (km)
Operations for Volume
Answer:
Step-by-step explanation:
3,200 g = 3.2 kg
12 L = 12000 mL
200 cm = 2 m
70,000 g =70 Kg
100 dL =10 L
60 m =60000mm
Triangle rst has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. what is the area of triangle rst? round to the nearest square inch.
The area of the triangle is 94.9 square inches
For given question,
We have been given triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches.
Let x be the third side of ΔRST
⇒ 22 + 13 + x = 50
⇒ x = 50 - 35
⇒ x = 15
Let s = sum of three sides of the triangle / 2
s = (22 + 13 + 15)/2
s = 25
Now using the formula for the area of the triangle,
A = √[s × (s-a) × (s-b) × (s-c)]
Let a = 22 inches, b = 13 inches, c = 15 inches
Substituting the values,
⇒ A = √[25 × (25 - 22) × (25 - 13) × (25 - 15)]
⇒ A = √(25 × 3 × 12 × 10)
⇒ A = √9000
⇒ A = 94.9 square inches
Therefore, the area of the triangle is 94.9 square inches
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The area of triangle rst which have sides 22 inches and 13 inches with perimeter 50 inches is 95 square inches.
We are given that the two sides of the triangle rst are 22 inches and 13 inches respectively. Also perimeter of the triangle rst is 50 inches.
We have to find the area of triangle to the nearest square inches.
Let the third side of the triangle rst be x.
Hence,
22 + 13 + x = 50 inch
35 + x = 50 inch
x = 50 - 35
x = 15 inches
Hence, the third side of the triangle is 15 inches.
We will use the Heron's formula here to find the area of the triangle.
Heron's formula = \(\sqrt{s(s-a)(s-b)(s-c)}\)
Here,
s = Semi- perimeter
a, b, and c are sides of the triangle.
Hence,
\(s=\frac{50}{2} \\\\s=25 inches\)
a = 22 inches
b = 13 inches
c = 15 inches
Hence,
Area of the triangle rst = \(\sqrt{25(25-22)(25-13)(25-15)}\\\\ \sqrt{25(3)(12)(10)} =\sqrt{5*5*3*3*2*2*5*2}=5*3*2\sqrt{5*2}=30\sqrt{10}\)
We know that,
\(\sqrt{10}\) ≈ 3.162277
Hence,
\(\sqrt{10} * 30\) ≈ 94.86831 ≈ 95 square inches.
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Simplify 57 - 6^2 ÷ (2 + 1) · 4.
Answer:
57-48
Step-by-step explanation:
9
Answer: 9
Step-by-step explanation:
Round to the nearest hundredth Round to the nearest whole number.
N 19
5.849
we have that the digit 9 is greater than 5
that means
5.849=5.85 to the nearest hundredth
N 20
4.484
the digit 4 is less than 5
therefore
4.484=4.48 to the nearest hundredth
N 23
98.55
0.55 > 0.50
so
98.55=99 to the nearest whole number
N 24
269.57
0.57>0.50
269.57=270 to the nearest whole number
N 25
14.369
0.369 < 0.5
14.369=14 to the nearest whole number
what best describes the relationship between the lines with equations y + 3x = 10 and 2y = -6x + 4?
Consider the following equation: x^2+xy+y^3=1
find the value of y at the point where x=1
find the value of y’ at the point where x=1
find the value of y’’ at the point where x=1
find the value of y’’’ at the point where x=1
Answer:
Step-by-step explanation:
To find the value of y at the point where x=1, we can substitute x=1 into the equation:
x^2+xy+y^3=1
1+y+y^3=1
y+y^3=0
y(y^2+1)=0
y=0 or y=-1 or y=1
To find the value of y' at the point where x=1, we need to take the derivative of the equation with respect to x:
2x + y + xy' + 3y^2y' = 0
y' = -(2x+y)/(3y^2+x)
When x = 1, y' = -(2(1)+y)/(3y^2+1)
To find the value of y'' at the point where x=1, we need to take the derivative of the equation with respect to x again:
2 + y' + xy'' + 3(2y)(y') = 0
y'' = -(2+y')/(3(2y)+(x))
When x = 1, y'' = -(2+y')/(3(2y)+(1))
To find the value of y''' at the point where x=1, we need to take the derivative of the equation with respect to x one more time:
y'' + xy''' + 3(2y')(y') + 3y(3y)(y') = 0
y''' = -(y'' + 3(2y')(y') + 3y(3y)(y'))/(x)
When x = 1, y''' = -(y'' + 3(2y')(y') + 3y(3y)(y'))/(1)
It is important to note that to find the exact value of y, y', y'', y''' we need to find the value of y in the equation x^2+xy+y^3=1 and substitute it into the derivative equations, but without the equation solved we can't find the exact values.
My three-digit code is $023$. Reckha can't choose a code that is the same as mine in two or more of the three digit-positions, nor that is the same as mine except for switching the positions of two digits (so $320$ and $203$, for example, are forbidden, but $302$ is fine). Reckha can otherwise choose any three-digit code where each digit is in the set $\{0, 1, 2, \dots, 9\}$. How many codes are available for Reckha
The answer is 966 codes.
It would probably be simplest to simply state the prohibited codes.
023 - narrators code
02x
0x3
x23
Here x is a number between 0 and 9, there are 10 of each, making a total of 30.
203
302
032
Consequently, there are 34 banned codes in all.
There are 103 = 1000 codes in all.
1000 - 34 = 966 codes are available.
What is narrators code?
The Code Narrator enables a minute-by-minute examination of what takes place during a code. There is a spot where observations can be recorded, and entering code for prescriptions and infusions is simple.The Code Narrator is one of the EPIC-specific applications used by the Rapid Response Team (RRT) RN. notes drugs, compressions, patient rhythms, infusions, and any other process that occurs during a code in place of traditional scribing.To learn more about Code Narrator visit:
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Help please i dint get it pls answer
Answer: 7%
(Hope this is right.)
Step-by-step explanation:
Let's solve this using the information we have and an equation.
Shane: $32,000 - (Given)
Theresa: 18,000+14x, if x=1,160 - (Given)
---------------------------------------------------------------
Step two: (Theresa) 14(1,160) =16,240 (Algebra)
Step three: (Theresa) 18,000+16,240=34,240 (Algebra, given.) - cost of Theresa's car.
---------------------------------------------------------------
Finally,
They're asking for how much more she paid for her car as a percentage of what Shane paid.
34,240-32,000=2,240 and
2,240/32,000=0.07
0.07x100=7
Answer 7% more than what Shane paid.
ik most of us on here are struggling with school, I just wanna let u know that it will be okay. keep ur head up and keep pushing. We'll get through this!!
The probability of drawing two black cards without replacement is 1/14, and the probability of drawing one black card is 2/7.
What is the probability of drawing a second black card, given that the first one is black
The probability of drawing a second black card, given that the first one is black, is 1/4.
What is the probability?From the question, the events are :
A: Drawing a second black card
B: Drawing a first black card
Note that we are given:
P(A and B) = 1/14 (probability of drawing two black cards without replacement)
P(B) = 2/7 (probability of drawing one black card)
Hence. the conditional probability formula will be:
P(A|B) = P(A and B) / P(B)
Based on the above, we fix in the value:
P(A|B) = (1/14) / (2/7)
= (1/14) x (7/2)
= 7/28
= 1/4
Therefore, the probability of drawing a second black card, given that the first one is black, is 1/4.
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Make f the subject of the formula below
If we make f the subject of the formula, then f = (3 + 4d)/(3 + d)
We are given a formula in which d = 3(1 - f)/(f - 4). We have to make f the subject of the formula. To make a variable the subject of the formula, we isolate it to the left-hand side of the equation with no other variable written along with it.
So, in this question, we will isolate f on the left-hand side of the equation and we will make f the subject of the formula. We are given that
d = \(\frac{3(1-f)}{f - 4}\)
When we cross-multiply this equation, we get
d(f -4) = 3(1 -f)
fd - 4d = 3 - 3f
Combine all the terms having variable f to the left-hand side.
fd + 3f = 3 + 4d
f( d + 3) = 3 + 4d
f = \(\frac{(3 + 4d) }{(3 + d)}\)
Therefore, by making f the subject of the formula, we get
f = (3 + 4d)/(3 + d)
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Use the drawing tool(s) to form the correct answers on the provided number line. Plot the value(s) on the number line where this function is equal to zero: f(x) = (x + 5)(x − 1).
Its on a number line :)
Answer:
Step-by-step explanation:
Hope this Helps ;)
Which of the following is not a descriptor of a normal distribution of a random variable? A. The graph of the distribution is symmetric B. The graph is centered around zero C. The graph of the distribution is bell-shaped. D. The graph is centered around the mean
A normal distribution of a random variable cannot be described (D) by a graph that is centered on the mean.
What is a normal distribution?A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.
Since all three of these variables are equal in a normal distribution, they serve as the center of the graph and can either be zero or not.
An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme.
The distribution's mean is another name for the center of the range.
Therefore, a normal distribution of a random variable cannot be described (D) by a graph that is centered on the mean.
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On Monday, the media center began unpacking boxes of books that were ordered. In the morning, they unpacked 479 books and in the afternoon they unpacked 363 books. How many books were unpacked that day? How might you begin to solve this problem? (discuss strategies for adding multi digit numbers)
ANSWER
842 boxes
EXPLANATION
In the morning, they unpacked 479 books.
In the afternoon, they unpacked 363 books.
To find out how many books were unpacked that day, we have to add the numbers that were unpacked in the morning and afternoon.
To solve the problem, we have to simply add, and we start by adding on the UNIT place value:
H T U
4 7 9
+3 6 3
8 4 2
That day, they unpacked 842 boxes.
I need help with the Venn diagram!
Answer:
Beach and Mountains = 482
Not mountains and Beach = 256
Mountains and Not Beach = 124
Not mountains and Not Beach = 15
Answer:
According to Venn diagram we have:
Beach only = 256Beach and Mountains = 482Mountains only = 124Neither = 15The table content would be:
| Mountains | Not Mountains
Beach | 482 | 256
Not Beach | 124 | 15
Let S be a relation on the set R of all real numbers defined by S={(a,b)∈R×R:a 2 +b 2 =1}. Prove that S is not an equivalence relation on R.
The relation S={(a,b)∈R×R:a²+b²=1} is not an equivalence relation on the set of real numbers R.
To show that S is not an equivalence relation, we need to demonstrate that it fails to satisfy one or more of the properties of an equivalence relation: reflexivity, symmetry, and transitivity.
Reflexivity: For a relation to be reflexive, every element of the set should be related to itself. However, in the case of S, there are no real numbers (a, b) that satisfy the equation a² + b² = 1 for both a and b being the same number. Therefore, S is not reflexive.
Symmetry: For a relation to be symmetric, if (a, b) is related to (c, d), then (c, d) must also be related to (a, b). However, in S, if (a, b) satisfies a² + b² = 1, it does not necessarily mean that (b, a) also satisfies the equation. Thus, S is not symmetric.
Transitivity: For a relation to be transitive, if (a, b) is related to (c, d), and (c, d) is related to (e, f), then (a, b) must also be related to (e, f). However, in S, it is not true that if (a, b) and (c, d) satisfy a² + b² = 1 and c² + d² = 1 respectively, then (a, b) and (e, f) satisfy a² + b² = 1. Hence, S is not transitive.
Since S fails to satisfy the properties of reflexivity, symmetry, and transitivity, it is not an equivalence relation on the set of real numbers R.
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What is the image point of (-5, -6) after the transformation T3,-1 •R270?
Answer:
e
Step-by-step explanation:
Find the value of x that makes lines u and v parallel
Answer:
x = 4 for Lines U and V to be parallel
Skills needed: HS Geo, Angle Theorems, Equations
Step-by-step explanation:
1) We see that there are two angle measures given to us. There is an angle marked with the measure of \(130\)°, and the other is marked with (\(33x-2\))°.
First of all, these two angles are categorized alternate interior angles. They are on alternate sides of the transversal, and are within the two lines (not on the outer side of the lines). I will add an image for reference regarding this idea. If 2 lines are parallel, alternate interior angles are congruent. This means that: \(33x-2=130\)2) Solving this equation is fairly straightforward.
\(33x-2+2=130+2\) (add 2 to both sides in order to get the \(33x\) by itself. \(33x\div33=132\div33\) (to get \(x\) by itself)132 divided by 33 is 4, and 33x divided by 33 is x, so \(x=4\)--------------------------------------------------------------------------------------------------------------Hope you understood, have a great day.
10 POINTTSSS answer fast The formula a = m − n represents the actual cost, a, of an item with original price m after a coupon for n dollars off is applied. Solve the formula for the amount of the coupon. Group of answer choices n=m−a n = a − m n = −m − a n=a+m
Answer:
n = m - a
Step-by-step explanation:
Given:
a = m − n
Where,
Actual cost of the item = a
Original price of the item = m
Amount of Coupon = n
Solve the formula for the amount of the coupon
Making n the subject
a = m − n
Subtract m from both sides
a - m = m - n - m
a - m = - n
Divide both sides by -1
(a - m) / -1 = -n / -1
- a + m = n
Can also be written as
n = m - a
−3[2 + 4 × 2 + (10 − 5) ÷ 5]
Answer:
-33
Step-by-step explanation:
With the brackets in an equations, it just means you are going to be solving within there first before moving on.
For any equations such as this, you'll want to follow PEMDAS.
Parenthesis (x)
Exponents \(x^{2}\)
Multiplication x * y
Division x/y or x÷y or \(\frac{x}{y}\)
Addition x+y
Subtraction x-y
To start, we're just going to take the bracket equations 2+4 x 2 + (10 - 5)
\(2+4*2+5/5\)
Moving down PEMDAS we have no exponents, but multipication and division, whichever comes first in the equation.
4*2 = 8
5/5 = 1
2+8+1 = 11
-3[11] = (You use multiplication here) -33
-39
Step-by-step explanation:
\({ \blue{ \sf{ - 3{[2 + 4 \times 2 + (10 - 5) \div 5]}}}}\)
\({ \blue{ \sf{ - 3{[6 \times 2 + (10 - 5) \div 5]}}}}\)
\({ \blue{ \sf{ - 3{[12 + (10 - 5) \div 5]}}}}\)
\({ \blue{ \sf{ - 3{[12 + (5) \div 5]}}}}\)
\({ \blue{ \sf{ - 3{[12 + 1]}}}}\)
\( { \blue{ \sf{ - 3[13]}}}\)
\({ \red{ \sf{ - 39}}}\)
because
Once again prime numbers are special: the gcf of two different primes is always ( blank ) they don't share any prime factors.
Step-by-step explanation:
The GCF of two different prime numbers is always 1.
the question is -11h -2(2h-1)<17 shoe=w answer
\(\bold{Hello!}\\\bold{Your~Answer~Is~Below!}\)
______________________________
\(\bold{Solution~Steps:}\)
\(1.)~Use~distributive~property~to~multiply~the~parenthesis:\)
\(\bold{-2}\) × \(\bold{2h=-4h}\)\(\bold{-2}\) × \(\bold{-1=2}\)\(\bold{When~multiplying~2~negatives,~the~product~is~always~positive. }\)\(2.)~Combine~like~terms:\)
\(\bold{-11h~+(-4h)=-15h}\)\(\bold{When~adding~2~negatives,~the~sum~is~always~negative.}\)\(3.)~Subtract~2~from~both~sides:\)
\(\bold{2-2=Cancels~out}\)\(\bold{17-2=15}\)\(\bold{When~doing~something~on~both~sides,~you~always~do~the~opposite.}\)\(4.)~Divide~both~sides~by~-15:\)
\(\bold{-15h}\) ÷ \(\bold{-15=Cancels~out}\)\(\bold{15}\) ÷ \(\bold{-15=-1}\)\(5.)~Determine~if~the~sign~changes~direction:\)
\(\bold{Since-1~is~negative,~the~inequality~direction~is~changed.}\)\(\bold{h<-1=h>-1}\)______________________________
\(\bold{Answer:}\)
\(\bold{The~inequality~answer~is~\boxed{h>-1.}}\)______________________________
\(\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~-TotallyNotTrillex}\)
True or False: 400 more than the product of 60 and 90 is the same as 60 x 90 + 400
Answer:
true
Step-by-step explanation:
mark as brainliest plz
Answer:
True
Step-by-step explanation:
400 + 60 x 90 = 400 + 5400 = 5800
60 x 90 + 400 = 5400 + 400 = 5800
Click on the solution set graphic until the correct one is displayed.
Answer: I can't answer that because it's not a question
Step-by-step explanation: