Answers
Answer:
Step-by-step explanation:
1. Domain: {-5, -3, 0, 4}
Range: {-2, -1, 7}
Function? No
2. Domain: {-6, -3, 0, 1, 4}
Range: {-5, -2, 5, 7}
Function: Yes
3. Domain: {-3, -2, -1}
Range: {-9, -1, -6)
Function: No
Related Questions
Reagan just received a new soccer ball that she ordered in the mail. The spherical soccer ball
arrived in a box shaped like a rectangular prism, and the remaining space inside the box was
filled by packing material. The box is 14 inches long, 11 inches wide, and 10 inches tall. If the
soccer ball has a diameter of 8.7 inches, what was the volume of space in the box filled by
packing material?
Answers
Answer:
1540 square in-17.4π in
Step-by-step explanation:
The box's area is 1540 square inches, and the volume of a sphere is 4πr. So we do 4*π*r, which is 4π*4.35, and simplify it to 17.4π. Then we subtract that from the 1540 square in to get the final answer of 1540-17.4π
Reference: π is approximately 3.1415926
Quadrilateral DEFG is a rectangle.
If m ∠ EDF=5 x-3 and m ∠ D F G=3 x+7 , find m ∠ E D F .
Answers
The measure of angle EDF in the rectangle DEFG is 22.
In a rectangle, opposite angles are congruent, meaning they have the same measure. Since DEFG is a rectangle, angles DFG and EDF are congruent. Therefore, we can set up an equation based on the given angle measures: m∠EDF = m∠DFG.
m∠EDF = 5x - 3
m∠DFG = 3x + 7
Setting the two angles equal to each other, we have:
5x - 3 = 3x + 7
Simplifying the equation by subtracting 3x from both sides, we get:
2x - 3 = 7
Adding 3 to both sides, we have:
2x = 10
Finally, dividing both sides by 2, we find:
x = 5
To find m∠EDF, we substitute the value of x back into the expression for m∠EDF:
m∠EDF = 5x - 3
m∠EDF = 5(5) - 3
m∠EDF = 25 - 3
m∠EDF = 22
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Using separation of variables technique, solve the following differential equation with initial condition y'= e sinx and y(pi) = 0. The solution is:
Answers
Answer:
\(\textsf{A.} \quad e^{-y}=\cos x+2\)
Explanation:
Given differential equation and initial condition:
\(\begin{cases}y'=e^y \sin x\\y(-\pi)=0\end{cases}\)
Rearrange the differential equation so that all the terms containing y are on the left-hand side, and all the terms containing x are on the right-hand side:
\(y'=e^y \sin x\)
\(\dfrac{dy}{dx}=e^y \sin x\)
\(\dfrac{1}{e^y}\; dy=\sin x\; dx\)
\(e^{-y}\; dy=\sin x\; dx\)
Integrate both sides of the equation:
\(\begin{aligned}\displaystyle \int e^{-y}\; dy&=\int \sin x\; dx\\\\-e^{-y}&=-\cos x+C\end{aligned}\)
Substitute the given condition y(-π) = 0 into the equation and solve for C:
\(\begin{aligned}-e^{-0}&=-\cos (-\pi)+C\\\\-1&=1+C\\\\C&=-2\end{aligned}\)
Substitute the found value of C into the equation:
\(-e^{-y}=-\cos x-2\)
Multiply both sides by -1:
\(\boxed{e^{-y}=\cos x+2}\)
\(\hrulefill\)
Integration rules used:
\(\boxed{\begin{minipage}{5.1 cm}\underline{Integrating $e^{ax}$}\\\\$\displaystyle \int e^{ax}\:\text{d}x=\dfrac{1}{ax}e^{ax}+\text{C}$\\\end{minipage}}\)
\(\boxed{\begin{minipage}{5.1 cm}\underline{Integrating $\sin x$}\\\\$\displaystyle \int \sin x\:\text{d}x=-\cos x+\text{C}$\\\end{minipage}}\)
5
Which equation represents a line with a slope of
2
and a y-intercept of -
.?
3
8 8
y = - +
3x 3
W100 W 100
B
5 8
y = -1
X +
2 3
5 8
y=-X-
2 3
D
5 8
y =
2x 3
Answers
which of the following are always perpendicular to a side of a triangle?
a. altitude
b. perpendicular bisector of a side
c. midsegment
d. angle bisector
e. median
f. an inscribed circle
Answers
Altitude and perpendicular bisector of a side are always perpendicular to a side of a triangle.
How do triangles work?
A triangle is a three-sided polygon with three vertices. The angles of the triangle are formed by the three sides' end-to-end connections at a point.
The triangle's three angles add up to a total of 180 degrees.
In a triangle, what is the altitude?
The perpendicular line drawn from a triangle's vertex to its opposite side is the definition of a triangle's altitude.
The altitude forms a right-angle triangle with the base and is also referred to as the triangle's height.
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Find the common difference of the sequence shown.
1/6, 1/3, 1/2, 2/3...
-1/12
-1/6
-1/3
Answers
Answer:
1/6
Step-by-step explanation:
The midpoint of segment AB is (6,5). The coordinates of point A are (7.10). Find the coordinates of point B.
A)
(8,0)
B)
(5,0)
9
(8, 15)
D)
(-3,7)
PLEASE ANSWER I NEED IT BY TONIGHT kk that’s all
Answers
Answer:
Step-by-step explanation:
(x+7)/2=6
x + 7 = 12
x = 5
(y + 10)/2 = 5
y + 10 = 10
y = 0
(5, 0)
answer is B
Answer:
whatever they said :D
Step-by-step explanation:
Determine the domain on which the following function is decreasing.
(Please include an explanation)
Answers
the answer for this would be [0,11]
AA'B'C' is the image of AABC under a dilation whose center is P and scale factor is 4/3
Answers
ΔA'B'C' is the image of ΔABC under a dilation whose center is P and scale factor is 4/3, then connect A'B'C'. So,
PA' = 3PA
PB' = 3PB
PC' = 3PC
Each vertex is 3 times as far from P as the original. Each segment is 3 times as long. It is easy enough to count grid squares to plot the points in the right places.
Based on the given conditions,
ΔA'B'C' is the image of ΔABC under a dilation whose center is P and scale factor is 4/3
Find A' B' and C' in the direction PA' PB' PC' respectively,
So, that
PA' = 3PA
PB' = 3PB
PC' = 3PC
Therefore,
ΔA'B'C' is the image of ΔABC under a dilation whose center is P and scale factor is 4/3, then connect A'B'C'.
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7. It costs $6 to get into the Carnival. Hotdogs cost $1.50 each, Hamburgers cost $1.75 each, French Fries cost $1.05 per
serving, Popcorn cost $1.15 per bag, and Soda is $.75 each. Each ride costs $2.00. How much money would you need to
get into the Carnival and to go on 8 rides, eat 2 hotdogs, 1 order of Fries, 2 bags of Popcorn, and 1 Soda?
Answers
Answer: $29.10
Step-by-step explanation:
1. Make a table, like the one shown in the image. You will need the item, its price, and how many are being bought.
2. Multiply the price and quantity of each item that is being bought.
3. Add all of the products together. This should get you the final price.
My steps are in the image. Hope this helps!
refer to the market for good x. p0=$15, pa=$21, p*=$31, pb=$44, p1=$57, q0=10, q*=30, q1=50, and q2=70. what is the quantity demanded when the price is $44?
Answers
At a price of $44, the quantity demanded is equal to q*, which is 30 units.
The market for good X is given with a price of $15 at q0 (10 units), a price of $21 at pa, a price of $31 at p* (30 units), a price of $44 at pb, a price of $57 at p1 (50 units), and a price of $70 at q2 (70 units). To calculate the quantity demanded when the price is $44, we first need to identify the price points on either side of $44. In this case, $31 and $57 are the two price points. We then look at the corresponding quantities at those two points, which are q* (30 units) and q1 (50 units). Since the demand curve is downward sloping, the quantity demanded at $44 (pb) will be between 30 and 50 units. Since 30 is the lower number, the quantity demanded at $44 will be q*, or 30 units.
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the acceleration in centimeters per second of a projectile is modeled by
Answers
Answer:
The Acceleration, In Centimeters Per Second Per Second, Of A Projectile Is Modeled By A (T) = 21" - 156 + 36, Where T Is Measured in seconds
I’m unsure of how to explain, since I don’t know the answer to this question.
Answers
ANSWER:
In geometry, a shape is defined as the figure closed by the limit. The boundary is created by combining lines, points, and curves. Basically, there are two different types of geometric shapes, such as:
• Two Dimensional shapes (2D):, Also known as flat shapes, are the shapes having two dimensions only. It has length and breadth. It does not have thickness.
,• Three Dimensional shapes (3D):, Also known as solid shapes, are the shapes that have three dimensions such as length, breadth and thickness.
Because of this, 2D figures are often associated with area and 3D figures with volume.
These are defined as follows:
\(\begin{gathered} A=s^2\rightarrow s=\sqrt{A} \\ \\ V=s^3\rightarrow s=\sqrt[3]{V} \end{gathered}\)This means that the length of the figure in 2D is equal to the square root of the area and also in 3D figures it is equal to the cube root of the volume.
PLEASEEEE HELP IM BEEGING TEST DUE IN 10 MINSSS!!!
g(x + h) = (x + h - 4)/(x + h + 8)
Answers
The derivative would be 12/(h+x+8)^2
Scale Factor: 1/2; Center: point N
Answers
The new coordinates of points M and O is determined as;
M = (0.5, - 1)
O = (2.5, -2).
What is the new coordinate of points of M and O?The new coordinate of points M and O after applying the scale factor is calculated as follows;
The given scale factor = 1/2
The current coordinates of point M and O is;
M = (1, - 2)
O = (5, - 4)
A scale factor can be used to either enlarge a figure or decrease a figure.
When the scale factor is less than 1, it means the new figure will be smaller than the original figure.
However, if the scale factor is greater than 1, the new figure will be greater than the original figure.
The new coordinates of points M and O is determined as follows;
M = (1 x 1/2, -2 x 1/2) = (0.5, - 1)
O = (5 x 1/2, -4 x 1/2) = (2.5, -2)
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2. draw the lewis dot structure for each of the following molecules or ions. determine the number of bonding and nonbonding electron domains and indicate their electron domain and molecular geometries BF2
Answers
The Lewis dot structure for BF2 is:
F B F
\ /
B
/ \
F B F
In this molecule, there are three atoms (one boron and two fluorine) and a total of 12 valence electrons. Boron is in group 3, so it has 3 valence electrons, while each fluorine atom has 7 valence electrons.
To form the Lewis dot structure, we first place the atoms in a linear arrangement. Each fluorine atom shares one electron with the boron atom, giving a total of two shared electrons (or one bond) between the boron and each fluorine atom. This gives us a total of four electrons (or two bonds) between the boron and the two fluorine atoms.
The remaining four electrons are placed as nonbonding electron pairs around each fluorine atom to satisfy the octet rule. Therefore, there are a total of two bonding domains and two nonbonding electron domains around the boron atom. The electron domain geometry is tetrahedral, and the molecular geometry is linear.
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Markov Property 1 point possible (graded) Let Xị, i = 1, 2,... be a discrete Markov chain with states {3j, j e N}. Which of the following statements are correct? For n > 3, P[Xn = In | Xn-1 = In-1, X1 = 21] =P[Xn = In | Xn-1 = In-1]. For n > 3 and n-j> 1. P[X, = In Xr_j = In–j,X1 = [1] = P[Xn = In | Xn_j = In_j]. For n > 2. P[Xn = In Xn+1 = Int1, X1 = [1] =P[Xn = In X1 = x1).
Answers
The correct statement among the three given statements is "For n > 3, P[Xn = In | Xn-1 = In-1, X1 = 21] =P[Xn = In | Xn-1 = In-1]".
The given question is related to the Markov property, which states that the future state of a stochastic process depends only on the present state and not on the past states. Among the three given statements, the correct statement is that the probability of being in state In at time n, given the previous state In-1 at time n-1 and the initial state x1 at time 1, is the same as the probability of being in state In at time n, given only the previous state In-1 at time n-1.
In a discrete Markov chain with states {3j, j e N}, the Markov property holds true, and the probability of being in a future state depends only on the present state and not on the past states. Among the given statements, the correct one is related to the probability of being in a state at a particular time, given the previous state and the initial state.
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Please Factor this square root
Answers
The prime factorization of the value under the radical sign can be used to factor the square root expression to get;
-0.3·√(162) = -2.7·√2
What is the prime factorization of a number?The prime factors of a number are the factors of the number that are prime numbers, which are numbers that are divisible by 1 and itself.
The expression -0.3·√(162) can be factorized by finding all the prime factors of 162 as follows;
162 = 2 × 3⁴, therefore; √(162) = √(2 × 3⁴) = √2 × √(3⁴) = (√2) × 3²
(√2) × 3² = 9·√2
Plugging in the value of √(162) in the expression -0.3·√(162), indicates that we get;
-0.3·√(162) = -0.3 × (9·√2) = -2.7·√2
The factored form of the expression -0.3·√(162) is -2.7·√2
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Lauren went shopping for a new pair of pants because of a sale. The price on the tag
was $20, but Lauren paid $13 before tax. Find the percent discount.
Answers
Answer:
discount rate= 0.35
Step-by-step explanation:
Giving the following information:
The price on the tag was $20, but Lauren paid $13 before tax.
To calculate the discount rate, we need to use the following formula:
Total discount= total price * ( 1 - discount rate)
13= 20 * (1 - discount rate)
13= 20 - 20discount rate
20discount rate = 7
discount rate= 7 / 20
discount rate= 0.35
I am attaching a picture of the question as you can see my teacher has already answered it but she wants me to show how she got the answer
Answers
Surface area of a square pyramid:
\(\begin{gathered} SA=B+\frac{1}{2}p\cdot s \\ \\ B=\text{area of the base} \\ p=\text{perimeter of the base} \\ s=\text{slant height} \end{gathered}\)To find the surface area of the given pyramid as you don't have the length of the slant height, use the height of the pyramid and the radius of the base to form a right triangle and find the slant height:
Pythagorean theorem for the right triangle above:
\(\begin{gathered} s^2=h^2+(\frac{1}{2}b)^2 \\ \\ s=\sqrt[]{h^2+(\frac{1}{2}b)^2} \\ \\ s=\sqrt[]{(12in)^2+(\frac{1}{2}\cdot18in)^2} \\ \\ s=\sqrt[]{(12in)^2+(9in)^2} \\ \\ s=\sqrt[]{144in^2+81in^2} \\ \\ s=\sqrt[]{225in^2} \\ \\ s=15in \end{gathered}\)Perimeter of the base is:
\(\begin{gathered} p=4b \\ p=4\cdot18in \\ p=72in \end{gathered}\)Area of the square base:
\(\begin{gathered} B=b^2 \\ B=(18in)^2 \\ B=324in^2 \end{gathered}\)Then, the surface area of the given pyramid is
\(\begin{gathered} SA=324in^2+\frac{1}{2}\cdot72in\cdot15in \\ \\ SA=324in^2+540in^2 \\ SA=864in^2 \end{gathered}\)
How could we use a rectangle to model the factors of x2 – 7x + 6?
Answers
SOLUTION:
Factorizing the quadratic, we have the factors as;
\(\begin{gathered} x^2-7x+6 \\ x^2-6x-x+6 \\ x(x-6)-1(x-6) \\ (x-1)(x-6) \end{gathered}\)We could model these factors as being sides of a rectangle, the product of these factors, i.e the quadratic is the area, thus, we have;
how many standard deviations (in ftes) away from the mean is the median? (round your answer to two decimal places.)
Answers
Therefore , the solution of the given problem of standard deviation comes out to be the value of x=48 is 0.4853 standard deviations away from the mean.
Define standard deviation.Statistics uses variance to measure variation. The square root with that number is used to compute the average variation here between data and the mean. In contrast to certain other quantifiable measures of variability, it takes into account all datasets in its calculations by comparing each result to the mean. Variations could be caused by internal or external forces, and they might involve things like unintended mistakes, inflated expectations, and shifting economic or commercial conditions.
Here,
Given :
Standard deviation is 12.59, with a mean of 54.11
X=48
employing the z-formula
=> z = x -u / α
Values are replaced to produce
=> z = 48 -54.11/12.59
the z value is
z= - 0.4853
As a result, it can be shown that the value of x=48 is 0.4853 standard deviations away from the mean.
Therefore , the solution of the given problem of standard deviation comes out to be the value of x=48 is 0.4853 standard deviations away from the mean.
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The complete question is " The annual rainfall in a town has a mean of 54.11 inches and a standard deviation of 12.59 inches. Last year there was rainfall of 48 inches. How many standard deviations away from the mean is that? Round your answer to two decimal places."
Carl wants to buy a television that costs $500, including taxes. To pay for the television, he will use a
payment plan that requires him to make a down payment of $125, and then pay $72.50 each month for 6
months. What is the percent increase from the original cost of the television to the cost of the television
using the payment plan?
A) 6%
B) 12%
C) 58%
D) 89%
Answers
9514 1404 393
Answer:
B) 12%
Step-by-step explanation:
The total cost of Carl's payment plan is ...
$125 + 6×72.40 = $560
The percentage change from the original price is ...
%change = ((new price)/(original price) -1) × 100%
= ($560/$500 -1) × 100% = (1.12 -1)×100%
= 12%
The increase from the original cost is 12%.
A bookstore sells two books for $28 which table represents the relationship between the number of books and the total price?
Answers
Answer:
1 book: $14
2 books: $28
3 books: $42
4 books: $56
5 books: $70
Step-by-step explanation:
$28/2 = $14 per book
1 book: $14
2 books: $28
3 books: $42
4 books: $56
5 books: $70
A clinical trial was conducted to test the effectiveness of the drug zopiclone for treating insomrua in older subjects. Before treatment with zopiclone, 16 subjects had a mean wake time of 102.8 min. After treatment with zopiclone, the 16 subjects had a mean wake time of 98.9 min and a standard deviation of 42.3 min (based on data from "Cognitive Behavioral Therapy vs Zopiclone for Treatment of Chronic Primary Insomrua in Older Adults," by Sivertsen et al., Journal of the American Medical Association, Vol. 295, No. 24). Assume that the 16 sample values appear to be from a normally distributed population, and test the claim that after treatment with zopiclone, subjects have a mean wake time of less than 102.8 min. Does zopiclone appear to be effective?
Answers
A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.
What is a confidence interval?
A confidence interval (CI) is a range of values that, with a particular level of certainty, is likely to encompass a population value. A population mean that sits between an upper and lower interval is frequently stated as a percentage.
Here,
From the standard normal table, the z-critical value at 98% confidence interval is 2.33 so,
98%C.I. = µ ± z * σ / n = 98.90 ± 2.33 * 42.30 / sqrt of 16 = 98.90 ± 24.64 = 74.26 to 125.54
The mean wake time of 102.80 minutes before the treatment due to the mean wake time of 102.80 minutes included in the 98% confidence interval which is between 74.26 and 125.54. Zopiclone does not appear effective.
Hence, A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.
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find the derivative of the function. f(x) = (9x6 8x3)4
Answers
The derivative of the function f(x) = (9\(x^{6}\) + 8x³)³ is f'(x) = 4(9\(x^{6}\) + 8x³)³(54x³ + 24x²).
To find the derivative of the function f(x) = (9x² + 8x³)³, you need to apply the Chain Rule. The Chain Rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. In this case, let u = 9x + 8x.
First, find the derivative of the outer function with respect to u: d( u³ )/du = 4u³.
Next, find the derivative of the inner function with respect to x: d(9x² + 8x³)/dx = 54x³ + 24x².
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Find the sum of two displacement vectors A and vec (B) lying in the x-y plane and given by vec (A)= (2.0i+2.0j)m and vec (B)=(2.0i-4.0j)m. Also, what are components of the vector representing this hike? What should the direction of the hike?
Answers
The direction of the hike from the given vectors represented by the vector C is approximately -26.57° with respect to the positive x-axis.
To find the sum of the displacement vectors A and B, you simply add their respective components.
Vector A = (2.0i + 2.0j) m
Vector B = (2.0i - 4.0j) m
To find the sum (vector C), add the corresponding components,
C = A + B
= (2.0i + 2.0j) + (2.0i - 4.0j)
= 2.0i + 2.0j + 2.0i - 4.0j
= 4.0i - 2.0j
So, the vector representing the sum of A and B is (4.0i - 2.0j) m.
The components of the resulting vector C are 4.0 in the x-direction (i-component) and -2.0 in the y-direction (j-component).
To determine the direction of the hike,
Calculate the angle of the resulting vector with respect to the positive x-axis.
The angle (θ) can be found using the arctan function,
θ = arctan(-2.0/4.0)
θ = arctan(-0.5)
θ ≈ -26.57° (rounded to two decimal places)
Therefore, the direction of the hike represented by the vector C is approximately -26.57° with respect to the positive x-axis.
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Does anyone know what Russian math is? When I looked it up, I couldn’t get a clear definition for my little sister. The easier the better.
Answers
Answer:
“Russian Math” is built on the foundational principle that the cognitive ability of a child the power to think and reason
15. How many tenths are there in?
Answers
Answer:
In what?
Step-by-step explanation:
Answer:
There is only one tenth in 15
What is the domain in interval notation?
Answers
Answer: Interval notation. When using interval notation, domain and range are written as intervals of values. For f(x) = x 2, the domain in interval notation is: D: (-∞, ∞) D indicates that you are talking about the domain, and (-∞, ∞), read as negative infinity to positive infinity, is another way of saying that the domain is "all real numbers." The range of f(x) = x 2 in interval notation is: R: [0, ∞) R indicates that you are talking about the range.
Step-by-step explanation: