Answer:
R:{-1,14,26}
Step-by-step explanation:
The domain of a function is all the x-values of the function. The range of a function is all the y-values of the function. Therefore, we must plug in every x-value in the function to get our outputs to create our range:
Given: y=3x+14
When x=-5:
y=3(-5)+14
y=-15+14
y=-1 (this is the first point of the range)
When x=0:
y=3(0)+14
y=0+14
y=14 (this is the second point of the range)
When x=4:
y=3(4)+14
y=12+14
y=26 (this is the last point of the range)
Therefore, our range is R:{-1,14,26}
The range for the given domain {-5, 0, 4} in the equation y = 3x + 14 is
{ -1, 14, 26 }.
We have,
To find the range for the given domain of {-5, 0, 4} in the equation
y = 3x + 14, we substitute each value of the domain into the equation and determine the corresponding range values.
When x = -5:
y = 3(-5) + 14
y = -15 + 14
y = -1
When x = 0:
y = 3(0) + 14
y = 0 + 14
y = 14
When x = 4:
y = 3(4) + 14
y = 12 + 14
y = 26
Therefore,
The range for the given domain {-5, 0, 4} in the equation y = 3x + 14 is
{ -1, 14, 26 }.
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Solve for m.D:
D (9x-44)
X =
(6x+7)
Answer:
m∠D = 109
Step-by-step explanation:
This is a parallelogram.
In parallelograms, the opposite interior angles are congruent, so we can write the following equation to find, first value x the measure of m∠D:
9x - 44 = 6x + 7
Transfer like terms to the same side of the equation.9x - 6x = 7 + 44
Add/subtract.3x = 51
Divide both sides by 3x = 17
Now we can calculate measure of m∠D:
m∠D = 9x - 44
Rewrite equation using the value we found for x.9×17 + 44 = 109
Has anyone took the parametric functions test part 1 for pre calculus ???? if so do you remember the answers??? offering lots of points
Answer:
No I dont, and this is only 5 pts
Step-by-step explanation:
Determining the location of a terminal point given the signs of Determine the quadrant in which the terminal side of 0 lies. (a)sine < 0 and cot 0 < 0 (Choose one) (b) cos > 0 and esce < 0 (Choose one) quadrant I quadrant II quadrant III quadrant IV ?
Based on the given information, the terminal side of angle 0 lies in quadrant III.
To determine the quadrant in which the terminal side of angle 0 lies based on the given information, we can analyze the signs of the trigonometric functions:
(a) Since sine < 0 and cotangent < 0, we can determine the quadrant as follows:
Sine < 0 implies that the y-coordinate (vertical component) of the point on the unit circle corresponding to angle 0 is negative.
Cotangent < 0 implies that the x-coordinate (horizontal component) of the point on the unit circle corresponding to angle 0 is negative.
In quadrant III, both the x and y-coordinates are negative. Therefore, quadrant III is the correct answer in this case.
(b) The information provided in this option is incorrect. "esce" is not a recognized trigonometric function, and "cos > 0" does not provide enough information to determine the quadrant.
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The area of a rectangle is represented by the
polynomial 6r^2+ 3x - 30. Which expressions
could represent the sides of the rectangle?
F 2y — 5 and 3r + 6
G 2y + 5 and 3r - 6
H 2r + 5 and 3r + 6
I 21 - 5 and 3x
Answer:
2 is the right answer
I say your answer
7. True or False: If a person makes a credit card payment earlier in the month versus later in
the month, it will result in a lower average daily balance, lower interest owed, and a smaller
minimum payment at the end of the billing cycle.
Answer: True.
explanation: If a person makes a credit card payment earlier in the month versus later in the month, it will result in a lower average daily balance, lower interest owed, and a smaller minimum payment at the end of the billing cycle. Paying off your balance early or making additional payments before the billing cycle ends decreases your credit utilization.
What is the volume of the prism
The volume of the prism is 72
How to calculate the volume of the prism?The height of the prism is 3 ft
The base of the prism is 24 square feet
The formula for volume of a prism is base multiplied by the height
Volume= base × height
= 3 × 24
= 72
Hence the volume of the prism is 72
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2 2/6 ×3 what's the answer???
2 2/6 times 3 is 7. Hope that helps!!
Identify the domain and range of the function (select both that apply).
Domain: (-∞, ∞)
Domain: (-∞, 3) ∪ (3, ∞)
Domain: (-∞, 0)
Range: (-∞, ∞)
Range: (0, ∞)
Range: (-∞, 0)
The domain and the range of the function in this problem are given as follows:
Domain: (-∞, 3) U (3, ∞).Range: (-∞, 0).How to obtain the domain and range of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.The function is defined for all real values except x = 3, which is the vertical asymptote, and assumes negative values, hence:
Domain: (-∞, 3) U (3, ∞).Range: (-∞, 0).Missing InformationThe graph of the function is given by the image presented at the end of the answer.
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(1 point) solve the equation y′′ 361y=e2x where y(0)=y′(0)=0. y(x)=
The required solution of the given equation y′′ + 361y = e^2x where y(0) = y′(0) = 0 is y = 1/365 e^2x - 1/365 cos19x - 2/685 sin19x
Given equation:
y′′ + 361y = e^2x
Particular Integral:
As the given equation contains exponential function in the RHS,
let’s assume, Yp = ae^2x
Putting the value of Yp in the given differential equation,
y″ + 361y = e^2x
⇒4a + 361a = 1
⇒a = 1/365
Complementary Function:
Now, let’s solve the complementary function,
y″ + 361y = 0
The characteristic equation is r62 + 361 = 0
r^2 = -361
r^1 = i√361
r^1 = 19i (complex roots always occur in conjugate pairs)
Let’s assume, y = e0x(c^1cos19x + c^2sin19x)
⇒y = c^1cos19x + c^2sin19x ………(1)
Particular Integral + Complementary Function:
y = Yp + Yc
⇒y = ae2x + c^1cos19x + c^2sin19x ………(2)
Applying initial conditions:
y(0) = 0⇒a + c^1 = 0 ………(3)
y′(0) = 0⇒2a + 19c^2 = 0 ………(4)
Solving equation 3 and 4, we get;
a = 1/365c^1
= -1/365c^2
= -2/685
So, the complete solution of the given differential equation;
y = ae^2x + c^1cos19x + c^2sin19x
⇒y = 1/365 e^2x - 1/365 cos19x - 2/685 sin19x
Therefore, the required solution of the given equation y′′ + 361y = e^2x where y(0) = y′(0) = 0 is y = 1/365 e^2x - 1/365 cos19x - 2/685 sin19x
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If the same number is added to the numerator and the denominator of 2/5, the resulting fraction is equal to 2/3. what is the number? abeka 9th grade
Answer:
4
Step-by-step explanation:
Call the number x:
-> we have \(\frac{2+x}{5+x} = \frac23\)
-> 2(5+x) = 3(2+x) -> 2x+10 = 3x+6 -> x = 4
So x (the number we need is) = 4
The shaded part of the diagram below shows the top surface of an engine part.
5
Diagram not drawn to scale
The measurements taken by a motor engineer are:
• reflex angle BÔC = 240°,
• AO=OD= 6 cm,
• BO=OC=3 cm.
The top surface of the engine part is to be painted.
The paint costs 15p per cm².
75
Using = 3, calculate how much it costs to paint the top surface of 20 engine parts.
Give your answer in pounds.
(1 mark)
Answer:
To calculate the cost of painting the top surface of 20 engine parts, we need to find the surface area of one engine part and then multiply it by 20.
To find the surface area, we need to find the length of the curved surface. We can do this by using the Pythagorean theorem to find AB and then use that to find the circumference of the curved surface.
AB^2 = BO^2 + AO^2 = 9 + 36 = 45
AB = sqrt(45) = 3 sqrt(5)
Circumference = 2 * pi * AB = 2 * pi * 3 sqrt(5) = 6 pi sqrt(5)
Using the fact that the reflex angle BÔC is 240 degrees, we can find the length of the curved surface:
240° / 360° = 2/3 of the circumference
Curved surface length = 2/3 * 6 pi sqrt(5) = 4 pi sqrt(5)
Finally, we can find the surface area of one engine part:
Surface area = (2 * 6 * 3) + (4 pi sqrt(5) * 6) = 36 + (24 pi sqrt(5))
To paint 20 engine parts, the cost would be:
20 * surface area * 15p = 20 * 36 + 20 * 24 pi sqrt(5) * 15p = 720 + (24 * 20 * 15 * pi * sqrt(5)) p = 720 + 720 pi sqrt(5) p
Since 1 pound is equal to 100 pence, the cost in pounds would be:
720 + 720 * pi * sqrt(5) / 100 = 720 + 720 * 0.177 / 100 = 720 + 1.264
So, the cost to paint the top surface of 20 engine parts would be 721.264 pounds.
The table below shows data for stuffed animals sold at a zoo gift shop. If the data were represented with a comparative dot plot, which animal would have more dots for month 2 than month 1
Answer:elephant
Step-by-step explanation:
23x18
Elephant would have more dots for month 2 than month 1. The Option C.
Which animal has more dots in month 2?Comparing the data for stuffed animals sold at a zoo gift shop in month 1 and month 2 using a comparative dot plot, it is evident that the elephant has a higher number of dots in month 2.
This indicates that more elephant stuffed animals were sold in the second month compared to the first month. The dot plot allows us to visualize the distribution of sales for each animal and easily identify the variations between the two months.
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(pythagoras theorem | year 9)
Answer:
In this case, to prove what is required, we must use the Pythagorean theorem to find the diagonal of the square.
If the diagonal of the square is smaller than the diameter of the circle, then the square will fit perfectly in the circle without touching it.
Diagonal = Root ((7 ^ 2) + (7 ^ 2)) = 9.89 cm.
we observed that
9.89cm <11cm.
Therefore we show that:
the square will fit inside the circle without touching the edge of the circle
or
c^2 = a^2 + b^2 c^2 = 7^2 + 7^2 = 49 +49 c^2 = 98 c = sqrt 98 c = 9.8 cm c = diagonal of square (9.8 cm) and is less than the diameter of the circle (11 cm), so the square will fit inside the circle without touching the edge of the circle.
I hope this helps a little bit.
A coat was originally priced at $80. It went on sale for $70.40. What was the percent that the coat was discounted?
Answer:
12%
Step-by-step explanation:
(80 - 70.40)/80 * 100 = 12
What is the approximate probability of exactly two people in a group of seven having a birthday on April 15? (A) 1.2 x 10^-18 (B) 2.4 x 10^-17 (C) 7.4 x 10^-6 (D) 1.6 x 10^-4
The approximate probability of exactly two people in a group of seven having a birthday on April 15 is (C) \(7.4 x 10^-^6\)
How we get the approximate probability?To calculate the probability of exactly two people in a group of seven having a birthday on April 15, we can use the binomial distribution formula:
\(P(X = k) = C(n, k) * p^k * (1 - p)^(^n^-^k^)\)
Where:
P(X = k) is the probability of exactly k successes (in this case, k = 2)n is the number of trials (in this case, n = 7)p is the probability of success in a single trial (in this case, p = 1/365, assuming that all days of the year are equally likely for a birthday)C(n, k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (in this case, C(7, 2) = 21)So, plugging in the values, we get:
\(P(X = 2) = C(7, 2) * (1/365)^2 * (1 - 1/365)^(7 - 2)\)
\(= 21 * (1/365)^2 * (364/365)^5\)
\(= 2.38 x 10^-5\)
The probability of exactly two people in a group of seven having a birthday on April 15 can be calculated using the binomial distribution formula.
The formula takes into account the number of trials, the probability of success in a single trial, and the number of successes desired.
In this case, we want to find the probability that exactly two people in a group of seven have a birthday on April 15, assuming that all days of the year are equally likely for a birthday.
Plugging in the values into the formula gives us an approximate probability of \(7.4 x 10^-^6\), which is the answer (C).
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how online school? mines/ I don’t like it my grades are going down
Answer:
I hope it gets easier for you :)
What is the most specific name for quadrilateral ABCD ?
The table represents the equation y = 2 - 4x.
C OF
y
Use the drop-down menus to complete the statements.
The X-values are the
The y-values are the
The missing value in the table for x = -1 is y = v
-2
10
-1
o
2
1
-2
2
-6
Intro
Done
Eivity
Answer:
Step-by-step explanation:
Huh?.?.?
Graph this.
y=2/3x-4
Answer:
Step-by-step explanation:
Put the left dot on negative 4, and then put the right dot on positive 6.
Need help ASAP ......
Answer:
a= 74
c= 10
d= 25
e= 10
f=16
g= 90
h= 24
j= 26
k= 154
m= 70
n= 170
p= 156
r= 154
s= 129
t= 148
v= 55
w= 41
x= 55
y= 24
z= 106
Step-by-step explanation:
Answer:
d: 25
g: 90
r: 154
j: 26
k: 154
f: 16
c: 10
e: 10
n: 170
s: 129
p: 156
y: 24
h: 24
t: 148
w: 41
a: 74
z: 106
v: 55
x: 55
m: 70
Just made my brain explode, but hope this helps! xD
Step-by-step explanation:
Answer a,b,c,d and e please
The values of the functions are gotten to be
a. f (0) = 0
b. f (0.5) = -2
c. f (-2) = 0
d. yes f(x) is function, but not a 1 - 1 function
e. domain: (-∞ ∞)
range: (-∞ ∞)
How to evaluate the graph for the functionsIn the graph the domain values of the functions are traced to get the corresponding range values hence we have that
a. f (0) = 0
b. f (0.5) = -2
c. f (-2) = 0
d. yes f(x) is function, but can have more than one range for a particular domain. Therefore not a one-to-one function
The domain of the graph is from negative infinity to positive infinity and so is the range
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You order CDs for $14.25 each and the website charges $4.50 for each shipment.
The expression $14.25p + $4.50 represents the cost of p CDs. Find the total cost for
ordering 4 CDs.
Answer:
$61.50
Step-by-step explanation:
14.25(4) + 4.50
= 57.00 + 4.50
= 61.50
find the sum 59.34+ 1.85
we have the following:
\(59.34+1.85=61.19\)The answer is 61.19
Answer:61.19
Step-by-step explanation:
0.85 + 0.34 = 1.19
59 + 1 = 60
60 + 1.19 = 61.19
The domain of g(x) =(x+1)(2x-5) is (-4,-2,01) what is the range
Answer:
D: {-4, -2, 1}
R: {39, 9, -10}
Step-by-step explanation:
suppose that 7 out of 8 dentists recommend mintyfresh toothpaste. from a sample of 170 dentists, how unusual would it be to have more than 153 of them recommend mintyfresh toothpaste?
Based on the calculations, it would not be very unusual to have more than 153 dentists recommend mintyfresh toothpaste.
The proportion of dentists who recommend mintyfresh toothpaste is 7/8 = 0.875. The expected number of dentists who recommend mintyfresh toothpaste in a sample of 170 is 170 x 0.875 = 148.75. The standard deviation of the sampling distribution is √(np(1-p)) = √(170 x 0.875 x 0.125) = 4.71.
To find the probability of having more than 153 dentists recommend mintyfresh toothpaste, we calculate the z-score as (153 - 148.75) / 4.71 = 0.91. Using a standard normal distribution table, we find that the probability of having a z-score greater than 0.91 is approximately 0.1826, or 18.26%.
Therefore, it would not be very unusual to have more than 153 dentists recommend mintyfresh toothpaste.
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pls pls help i will vote you brainlest!!!
What is the graph of the following function? Click on the graph until the correct one appears.
Lisa must choose a number between 61 and 107 that is a multiple of 2, 8, and 16. Write all the numbers that she could choose. If there is more than one
number, separate them with commas.
Donald plays with his wood cubes and decides to make a pyramid
Refer to the figure to complete the following problem.
Given: A RST is circumscribed about circle A. What is the measure of angle S?
0.5 arc XQ minus arc XPQ
0.5 (arc XPQ- arc XQ)
angle R + angle T
Answer:
B) 0.5 (Arc XPQ-Arc XQ)
What are three ways in which stereotypical views of gender could negatively affect progressive growth of society