Answers
Answer:
option 3. (4, -2)
Step-by-step explanation:
For a relation to be a function there should be exactly one output value for a given input.
In the given relation :-
4 has 2 outputs, -2 and 2, so if we remove the pair (4, -2) 4 will have only one output value ,i. e., 2. And hence the relation will be a function.
So the answer is option 3. (4, -2)
Related Questions
assidee has a checking account. If the account balance ever falls below zero, the bank charges her a fee of $5.95 per day. Today, the balance in Kassidee's account is -$2.67. If she does not make any deposits or withdrawals, what will be the balance in her account after 2 days?
Answers
5.95x2= 11.9
-2.67-11.9=-14.57
Her balance aftern2 days will be $-14.57
Simplify a/2b times bc/a
Answers
Answer:
\(\dfrac{c}{2}\)
Step-by-step explanation:
We can simplify the given expression by canceling like terms.
Remember that anything divided by itself is 1.
ex:
\(\dfrac{2x}{x} = 2 \cdot \dfrac{x}{x} = 2 \cdot 1 = 2\)
Applying this logic to the given expression:
\(\dfrac{a}{2b} \cdot \dfrac{bc}{a}\)
↓ simplify multiplication of fractions
\(\dfrac{a \cdot bc}{2b \cdot a}\)
↓ rewrite to align like variables
\(\dfrac{a \cdot b \cdot c}{a \cdot b \cdot 2}\)
↓ separate out variables that are divided by each other
\(\dfrac{a}{a} \cdot \dfrac{b}{b} \cdot \dfrac{c}{2}\)
↓ represent them as 1
\(1 \cdot 1 \cdot \dfrac{c}{2}\)
↓ rewrite without unnecessary 1's
\(\dfrac{c}{2}\)
12. Find the value of x.
(10x - 11)
(7x + 4)
Answers
Answer:
Step-by-step explanation:
7x+4=10x-11
4=3x-11
15=3x
x=5
Which equation can be used to solve for x in the following diagram?
Answers
The equation we can use to find the value of x in the diagram given is: B. (5x + 30) + 5x = 90.
What are Complementary Angles?Angles that give a sum of 90 degrees when added are referred to as complementary angles.
The angles, (5x + 30) and 5x are complementary angles, since the sum of both gives a right angle (90 degrees).
Therefore, the equation that we can use to find x in the diagram is: B. (5x + 30) + 5x = 90.
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(question 31) if arc mBC =120 and arc mAD =50 whatis the measure of angle DYC
Answers
===============================================================
Explanation:
First, let's calculate angle BYC. This is the angle formed by the chords that subtend the arcs mentioned. This angle faces or is aimed toward the direction of the arcs. To find this angle, we'll average the arc measures like so:
angle BYC = (arcAD + arcBC)/2
angle BYC = (50+120)/2
angle BYC = 170/2
angle BYC = 85 degrees
Then we'll use the idea that angles BYC and DYC are supplementary (aka they form a straight 180 degree angle)
angleBYC + angleDYC = 180
angleDYC = 180 - angleBYC
angleDYC = 180 - 85
angleDYC = 95 degrees
which is why the answer is choice D.
solve question 20 (a) and (b)
Answers
Answer:
You first have to read on the coordinates where the curve and the straight line meet or cuts across
a.) 53
b.) 13
Find the slope of the line through (4, 6) and (4, 10).
A.0
B.3
C.1/3
D. Undefined
Answers
Answer:
D. Undefined
Step-by-step explanation:
4-4 = 0, 10-6 = 4
Change of x = 0
Change of y = 4
Since the change of x is 0 (a horizontal line), it is undefined.
A grain tank on a farm is composed of a storage portion in the shape of a cylinder anda cone-shaped dispensing area at the bottom. The bottom cone portion has a slantheight of 5.5 feet. The entire exposed surface of the tank is to be painted. What is theapproximate amount of surface area that will receive the painting?8.4 ft12 ft5.5 ft
Answers
To fidn the surface area of the grain tank you need to find the area of:
Cylinder (without one of the bases as there are just one base exposed), use the next formula:
\(A_1=\pi\cdot r^2+h(2\pi r)\)You have for the given cylinder:
h=12ft
r: as the diameter is 8.4ft the radius is 8.4tf/2=4.2ft
\(\begin{gathered} A_1=\pi(4.2ft)^2+12ft(2\pi(\text{4}.2ft)) \\ =17.64\pi ft^2+100.8\pi ft^2 \\ =118.44\pi ft^2 \end{gathered}\)Cone (without the base as the base is not exposed), use the next formula:
\(A_2=\pi\cdot r\cdot s\)You have for the given cone:
r= 4.2ft
s= 5.5ft
\(\begin{gathered} A_2=\pi(4.2ft)(5.5ft) \\ =23.1\pi ft^2 \end{gathered}\)The entire exposed surface of the tank is:
\(\begin{gathered} A_T=118.44\pi ft^2+23.1\pi ft^2 \\ \\ =141.54\pi ft^2 \\ \\ \approx444.66ft^2 \end{gathered}\)The approximate amount of surface area that will receive the painting is 444.66 squared feetswhat is the midpoint of the segment shown below?  a. (–7, 3)  b. (–, 3)  c. (–7, )  d. (–, )
Answers
The correct option is a) (-7, 3) which is the midpoint of the segment.
To find the midpoint of a segment, we need to use the midpoint formula:
Midpoint = ( \((x1 + x2)/2 , (y1 + y2)/2\) )
The midpoint of a segment is the point that lies exactly halfway between the two endpoints of the segment.
It is calculated using the midpoint formula, which involves finding the average of the x-coordinates and y-coordinates of the endpoints.
Using the coordinates given in the diagram, we can substitute them into the formula:
Midpoint = ( (-9 + 5)/2 , (3 + 3)/2 )
Midpoint = ( (-4)/2 , 6/2 )
Midpoint = ( -2 , 3 )
However, it means that if we were to draw a line segment connecting (-9, 3) and (5, 3), the midpoint would be exactly in the middle of that line.
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solve for r
7(r+1)=20.3
Answers
7r + 7 = 20.3
Minus 7 from both sides
7r = 13.3
Divide both by 7
R = 1.9
The population of a city has been increasing by 2%
annually. The sign shown is from the year 2000.
(a) Write an exponential growth function that represents
the population t years after 2000.
(b) What will the population be in 2022? Round your
answer to the nearest thousand.
Answers
Answer:
Total number of people surveyed = 118
Number of people who own dogs = 78
Number of people who own cat = 44
Number of people who own both cats and dogs = 26
Number of people who only own dogs = 78 - 26 = 52
Number of people who own only cats = 44 - 26 = 18
Only dog owners + Only cat owners + Both + Neither = Total people surveyed
52 + 18 + 26 + Neither = 118
Neither = 22(answer)
After the consumption of an alcoholic beverage, the concentration of alcohol in the bloodstream (blood alcohol concentration, or BAC) surges as the alcohol is absorbed, followed by a gradual decline as the alcohol is metabolized. The function C(t) = 1. 35te−2. 802t † models the average BAC, measured in mg/mL, of a group of eight male subjects t hours after rapid consumption of 15 mL of ethanol (corresponding to one alcoholic drink). A. What is the maximum average BAC during the first 3 hours? (Round your answer to three decimal places. ) mg/mL b. When does it occur? (Round your answer to two decimal places. ) h
Answers
The maximum average BAC during the first 6 hours is about 0.177 mg/ml.
What is average ?
The middle number in a group of numbers is the average value, which is determined by dividing the sum of all the values by the variety of values.
When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.
The maximum is found where the derivative of C(t) is zero.
dC/dt = 1.35e^(-2.802t) -(1.35t)2.802e^(-2.802t) = 0
Solving for t gives ...
t = 1/2.802
So, the maximum C(t) is ...
C(1/2.802) = 1.35/2.802e^(-1) ≈ 0.177 . . . . . mg/mL
The maximum average BAC during the first 6 hours is about 0.177 mg/mL.
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The population of insects in an experiment has
been increasing by 9% each week. If there were 16
insects at the beginning of the experiment, predict
how many insects there will be after 8 weeks.
First, complete the equation:
?
=
Future Amount = 16 (1 + 0.09)
个
个
time
initial amount
periods
growth rate
Answers
Answer:
8
Note: I got it right on the same test you took as me.
The value of time period for the equation is 8.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
The population of insects is increasing by 9% each week = 0.09
At the beginning of the experiment, number of insects = 16
Number of insects increased per week
⇒ \(16+16(0.09)\)
Let the time period be x.
Number of insects increased after 8 weeks can be found by the equation,
\(Future Amount = 16 (1 + 0.09)^{x}\)
⇒ \(Future Amount = 16 (1 + 0.09)^{8}\)
Hence we can conclude that the value of time period for the equation is 8.
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If you have 47.2 in a class and you get a 60 point assignment and pass with 100%,
what would you grade be in the class now?
Answers
By calculation, your grade in the class now is 78.7
How to determine what your grade would be in the class now?From the question, we have the following parameters that can be used in our computation:
Score of 47.2 in 60
Represent the score in 100% with x
So, we have the following equation
47.2/60 = x/100
Multiply both sides of the equation by 100
So, we have
100 * 47.2/60 = x/100 * 100
This gives
100 * 47.2/60 = x
So, we have
x = 100 * 47.2/60
Evaluate
x = 78.7
Hence, your grade in the class now is 78.7
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Solve for x triangles
Answers
Answer:
115
Step-by-step explanation:
180-50=130
130/2=65
180-65=115
Please answer I will give BRAINLIEST if i can
Answers
Answer:
Glass A holds the most, It holds more than glass B because of its cone shape.
Step-by-step explanation:
I hope I helped you, now have a good day and good luck!! ;)
Suppose y varies jointly as x & z. If y = -180 when z = 15and x = -3,then find y when x = 7 and z = -5. 1 point
Answers
Answer:
y = - 140
Step-by-step explanation:
The statement
y varies jointly as x & z is written as
y = kxzto find y when x = 7 and z = -5 we must first find the relationship between the variables
when y = - 180
z = 15
x = - 3
- 180 = k(15)(-3)
-180 = - 45k
Divide both sides by - 45
k = 4
The formula for the variation is
y = 4xzwhen
x = 7
z = -5
y = 4(7)(-5)
y = 4(-35)
y = - 140Hope this helps you
Please help!!!!!
A special blend of coffee costs $15.00 for 8 pounds. To the nearest penny, how much will 10 pounds
cost?
Answers
Answer:
18.75
Step-by-step explanation:
Remark
For this question, you need to set up a proportion. The ratio on each side of the equal sign is dollars over pounds.
Proportion
15/8 = x / 10 Cross Multiply
Solution
8x = 15 * 10 Combine
8x = 150 Divide by 8
x = 150/8
x = 18.75
Find the last digit of 196^213*213^196
Answers
The last digit of \(196^{213}*213^{196\) is 6.
What is Number theory?
The characteristics and connections of integers are studied in number theory, a subfield of mathematics. The study of numbers' structures, characteristics, and patterns, as well as how they relate to other mathematical ideas, are the main topics.
Numerous subjects fall under the broad category of number theory, such as prime numbers, divisibility, modular arithmetic, congruences, diophantine equations, number patterns, and many more.
It examines fundamental ideas including prime factorization, prime number distribution, principles for divisibility, and characteristics of integer arithmetic operations.
Focusing on the final digits of each phrase and looking for any patterns will help us determine the final digit of the formula \(196^{213}*213^{196\).
First, let us examine the last digit of \(196^{213}\).
Six is the 196th and final digit. Every time we increase 6 by any power, the final digit repeats itself in a cycle: 6,
\(6^2 = 36\) (the last digit is 6),
\(6^3 = 216\) (the last digit is 6),
and so on.
The final digit of \(196^{213\) will also be 6, as 213 is an odd exponent.
Let us now think about \(213^{196}\) final digit.
213 has a final digit of 3. Any time we multiply 3 by a power, the last digit always has a consistent pattern: 3,
\(3^2 = 9,\)
\(3^3 = 27\) (last digit is 7),
\(3^4 = 81\) (last digit is 1),
\(3^5 = 243\) (last digit is 3),
and so on.
The final digit of \(213^{196\) will be 1, as 196 is an even exponent.
By multiplying the final digits of each phrase, we can now get the expression's final digit: 6(1) = 6.
The last digit of \(196^{213}*213^{196\) is therefore 6.
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(b) suppose you want to estimate the average age of all boeing 727 airplanes now in active domestic u.s. service. you want to be 95% confident and you want a margin of error of 2 years. suppose the population standard deviation is 6.24 years. how large a sample should you take?
Answers
37.40 is large a sample should you take in confidence interval.
What does confidence interval mean?
Your estimate's mean plus and minus the range of that estimate's fluctuation is called a confidence interval. If you repeat your test, you can expect your estimate to fall between these numbers with a reasonable degree of certainty. In statistics, confidence is another word for probability.For the 95% confident interval of population mean , the margin of error (ME)
ME = Z 1 - 0.05/2 5/√n
2 = 1.96 * 6.24/√n
n = ( 1.94 * 6.24/2)²
n = 37.40
the required sample size (n) is 38 .
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Person A deposited $10000 at 3.2% for 3 years while Person B deposited $8000 at 3% for 4 years. Who earned the most interest? **PLEASE ANSWER QUICKLY!!
Answers
Answer:
person a
Step-by-step explanation:
Find the sum of all values of the digit X such that 39504X2 is divisible by 4.
Answers
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
URGENT!!! Find the scale factor of △ABC to △DEF. △ABC: BC = 18, AB = 15, AC = 12 △DEF: EF = 12, DE = 10, DF = 8
Answers
The factors used to reduce are 4, 5, and 6.
Isn’t my answer
Neil pays $19.99 for each shirt he buys. How many total dollars p does he pay for s shirts?
Answers
Hello!
Let's consider the situation at hand
--> each shirt: $19.99
Therefore, if I bought 's' amount of shirts
--> \(\text{Total cost}=19.99*s\\\\\text{Total Coast is 'P'}\\\\P=19.99s\)
Answer: P = 19.99s
the fraction '' 20/40'' is the same as ___+____ which reduces to__
Answers
Step-by-step explanation:
20/40 is same as 20÷40 which reduces to 1/2.
Which type of dilation are the given scale factors?
Select Expansion or Contraction to correctly describe the type of dilation for each given scale factor.
Scale Factor Expansion
336
554
0.5
-1.2
O
Contraction
O
O
O
O
ہے
Answers
Enlarging or contracting a figure's size is known as dilatation. In other words, a scale factor is used to either enlarge or diminish the image while maintaining similarity between the preimage and the image.
What Is A Dilation ?In line with the illustrations below. A dilation that produces a smaller image is called a reduction (conjure up shrinking), whereas a dilation that produces a larger image is called an enlargement (conjure up stretching).Image reduction occurs when the scale factor is between 0 and 1.An expansion of the image occurs when the scale factor exceeds 1.The center point of the dilation is located, and the distances between this center point and various points on the preimage and the image are measured in order to determine the scale factor for the dilation. According to Math Bits Notebook, we can determine the scale factor by dividing these distances by two.Given that each angle is congruent, each segment is proportional, the slope of each segment is preserved, and the perimeter of the preimage and image have the same scale factor, using dilation scale factors allows us to enlarge or reduce a figure to the desired size.To Learn more About dilatation Refer To:
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Scientists were monitoring the temperature of a solution. It began at 63°F, and the temperature changed by 8°F over the course of 6 hours. Use this information to complete this statement. The final temperature of the solution was a minimum of °F and a maximum of °F.
Answers
Answer:
minimum = 55 F
Maximum = 71 F
Step-by-step explanation:
Change means it could either go down or up.
If it goes down by 8 then 63-8 = 55 F
If it goes up by 8 then 63 + 8 = 71 F
Hope this helps!
Answer:
Step-by-step explanation:
minimum 55
maximum 71
Compute the surface area of the solid of revolution formed by rotating the bounded region formed from y = 4x + 3, y = 0, x = 0, and x = 3 about the x-axis. S=
Answers
The surface area of the solid of revolution formed by rotating the bounded region between the curves y = 4x + 3, y = 0, x = 0, and x = 3 about the x-axis is 36π√(17).
To calculate this, we use the formula S = 2π∫[a,b] y√(1 + (dy/dx)²) dx.
The surface area of the solid of revolution formed by rotating the bounded region between the curves y = 4x + 3, y = 0, x = 0, and x = 3 about the x-axis can be calculated using the formula:
S = 2π∫[a,b] y√(1 + (dy/dx)²) dx
In this case, the curves y = 4x + 3 and y = 0 intersect at x = -3/4. However, since the region is bounded between x = 0 and x = 3, we only consider the portion between these limits. Thus, the integral becomes:
S = 2π∫[0,3] (4x + 3)√(1 + (4)²) dx
S = 2π∫[0,3] (4x + 3)√(1 + 16) dx
S = 2π∫[0,3] (4x + 3)√17 dx
To integrate this, we expand the expression inside the square root:
S = 2π∫[0,3] (4x + 3)√17 dx
S = 2π∫[0,3] (4x + 3)√(17) dx
S = 2π∫[0,3] (4x√(17) + 3√(17)) dx
S = 2π∫[0,3] (4√(17)x + 3√(17)) dx
S = 2π[2√(17)x²/2 + 3√(17)x] [0,3]
S = 2π[√(17)x² + 3√(17)x] [0,3]
Evaluating this expression at x = 3 and x = 0 gives:
S = 2π[√(17)(3)² + 3√(17)(3)] - 2π[√(17)(0)² + 3√(17)(0)]
S = 2π[√(17)(9) + 3√(17)(3)] - 2π[0]
S = 2π(9√(17) + 9√(17))
S = 36π√(17)
Therefore, the surface area of the solid of revolution is 36π√(17).
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The graphed line can be expressed by which equation?
Answers
Answer:
y = 3/2x + 3/2
Step-by-step explanation:
Slope is rise over run, or 3/2
The y intercept is at 3/2.
y = 3/2x + 3/2
what is the volume of the rectangular prism
Answers
Answer:
384.12 cubic inches
Step-by-step explanation:
Length: 9 7/10 = 9.7 inches
Weight: 1 4/5 = 1 8/10 = 1.8 inches
Height: 22 inches
Volume of a rectangular prism: V = l*w*h
V = 9.7 * 1.8 * 22
V = 17.46 * 22
V = 384.12 cubic inches
Hope this helps!