Answers
Answer:
f(x) = -(x - 2)² + 1
Step-by-step explanation:
I graphed it out, it's the only answer that gives the correct parabola
Related Questions
4.9 ft
7.8 ft
What is the volume of the cylinder
Answers
Answer:
V = 588.4 ft³
Step-by-step explanation:
Radius = 4.9 ft
Height = 7.8 ft
Volume of cylinder = \(\pi r^2h\)
V = (3.14)(4.9)²(7.8)
V = (3.14)(24.01)(7.8)
V = 588.4 ft³
last month 15 homes were sold in town x. the average (arithmetic mean) sale price of the homes was $150,000 and the median sale price was $130,000. which of the following statements must be true? i. at least one of the homes was sold for more than $165,000. ii. at least one of the homes was sold for more than $130,000 and less than $150,000. iii. at least one of the homes was sold for less than $130,000.
Answers
Statement ii "at least one of the homes was sold for more than $130,000 and less than $150,000." must be true. Because Since the arithmetic mean sale price is $130,000, it means that half of the homes were sold for more than $130,000 and half were sold for less than $130,000. So, the correct option is Statement ii.
Since the arithmetic mean sale price is $150,000, it means that the total sale price of all 15 homes combined was $150,000 x 15 = $2,250,000. However, this does not necessarily mean that at least one of the homes was sold for more than $165,000, as some homes could have been sold for less than the mean to bring the average down. Therefore, statement i is not necessarily true.
On the other hand, statement iii is not necessarily true either, as we have no information about the sale price of the lowest-priced home or any other individual home. It is possible that all 15 homes were sold for more than $130,000, in which case statement iii would be false.
So, the correct answer is statement ii.
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At a student government fundraiser, a notebook costs $5 and a t-shirt costs $11. If the total received for 70 items was $500, how many notebooks were sold"
O 20
O 25
O 45
O 50
Answers
Answer:
45
Step-by-step explanation:
t = number of t-shirts
n = number of notebooks
n + t = 70
5n + 11t = 500
n = 70 - t
5(70 - t) + 11t = 500
350 - 5t + 11t = 500
6t = 150
t = 25
n + t = 70
n + 25 = 70
n = 45
Answer: 45
Answer:
45
Step-by-step explanation:
The coordinates of the vertices of XYZ are
X(0, –4), Y(0, 0), and Z(3, 3).
a) Determine the coordinates of the image
of AXTZ after the translation [3, -2].
Answers
Answer:
Step-by-step explanation:
18.
If a - b = 12 and b/2 = 10, what is the value
of a +b ?
A) 2
B) 12
C) 32
D) 52
Answers
An online bookstore sells novels and magazines. Each novel sells for $5, and each magazine sells for $1. If Michelle purchased a total of 15 novels and magazines that have a combined selling price of $43, how many novels did she purchase?
She purchased __________.
(have to solve this using system of equations)
Answers
Answer:
Novels=7
Step-by-step explanation:
M + N = 15 equation 1
1M + 5N=43 equation 2
-M-N=-15 multiply equation 1 by -1
0 + 4N =28 add above 2 equations
N=7
check answer:
‘First, Solve for M
M+N=15
M+7=15
M=8
Then substitute values of M &N to check answers
M+5N=43
(8)+5(7)=43
8+35=43
43=43
Sb pls help me with this question
Answers
suppose that a particular item is class 200 according to the national motor freight classification (nmfc). what is the relationship between this item's rate and the rate for an item in class 100?
Answers
The relationship between this item's rate and the rate for an item in class 100 is that the rate for a class 200 item will be at least 1.001 times higher than the rate for a class 100 item.
A system used by carriers to categorize items based on their density, stowability, handling, and liability is called the National Motor Freight Classification (NMFC). Each class indicates a range of CWT prices that the carrier will impose on the shipment of the goods.
The NMFC predicts that the rate for a class 200 item will be higher than the rate for a class 100 item. This is because class 200 objects tend to be denser and require more handling and space, which raises the cost of transportation. Carriers therefore charge more for class 200 items to be transported than for class 100 items.
To give you an idea of the range of rates per CWT, class 100 items have a rate of $5 or less, while class 200 items have a rate of $5.01 to $7.00 per CWT. Therefore, the rate for a class 200 item will be at least 1.001 times higher than the rate for a class 100 item.
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There are four candidates for homecoming queen and three for king. How many different king-queen combinatons are there
Answers
There will be 12 combination of different king-queen.
When grouping objects or figuring out how many subgroups can be created from a given collection of objects, combinations are employed. We also employ permutations to calculate the number of possible combinations of unrelated things.
To determine the number of different king-queen combinations, we need to multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king.
There are 4 candidates for queen and 3 candidates for king, so:
4 x 3 = 12
Therefore, the total number of different king-queen combinations is 4 multiplied by 3, which equals 12. So, there are 12 different king-queen combinations.
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(a) For all nonzero real numbers x and y, multinv(x + y) = (multinv x). (multinv y). (b) For all nonzero real numbers w, x and y, (w.x).multinv(w . y) = x - multinv y. You may write a "box proof" for each of these statements. Even if you cannot find a proof for (a), you may use (a) to prove (b). If you prefer, you may use the notation x^-1 or 1/x instead of multinvx. Statement (b) justifies the relation (w . x)/(w . y) = x/y. This cancelation is what you're supposed to prove, so avoid a circular argument.
Answers
(a) Box proof:
Given: Nonzero real numbers x and y.
To prove: multinv(x + y) = (multinv x) * (multinv y).
Proof:
Start with the expression multinv(x + y).
Multiply the numerator and denominator by multinv x * multinv y.
We get [(multinv x * multinv y) / (x + y)] * [(multinv x * multinv y) / (multinv x * multinv y)].
Simplify the expression to [(multinv x * multinv y) / ((x + y) * multinv x * multinv y)].
Cancel out the common factors in the denominator to obtain 1 / (x + y).
Therefore, multinv(x + y) = (multinv x) * (multinv y).
Hence, the statement is proved.
(b) Box proof:
Given: Nonzero real numbers w, x, and y.
To prove: (w * x) * multinv(w * y) = x - multinv y.
Proof:
Start with the expression (w * x) * multinv(w * y).
Rewrite multinv(w * y) as (1 / (w * y)).
Multiply (w * x) by (1 / (w * y)) to get (w * x) / (w * y).
Simplify by canceling out the common factors in the numerator and denominator to obtain x / y.
Since x and y are nonzero, we can express x / y as x * multinv y.
Hence, (w * x) * multinv(w * y) = x * multinv y.
Therefore, the statement is proved.
Using the result from (a) to prove (b):
Given: Nonzero real numbers w, x, and y.
To prove: (w * x) * multinv(w * y) = x - multinv y.
Proof:
Using the result from part (a), we have multinv(w * y) = multinv w * multinv y.
Substituting this into the expression (w * x) * multinv(w * y), we get (w * x) * (multinv w * multinv y).
Using the associativity of multiplication, we can rewrite this expression as (w * multinv w) * (x * multinv y).
Since w and multinv w are inverses, their product is equal to 1. Therefore, (w * multinv w) = 1.
The expression simplifies to 1 * (x * multinv y) = x * multinv y.
Hence, (w * x) * multinv(w * y) = x * multinv y, which proves the statement.
Note: This proof avoids a circular argument by using the result from part (a) instead of assuming the cancellation property (w . x) / (w . y) = x / y.
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A right triangle has one angle equal to 7 degree. Find the measures of the other angles.
Answers
Out of the remaining two angles, one measures 90° and other measures 83°.
The sum of all the angles of triangle is 180°. Right triangle indicates presence of 90° angle in the triangle. Assuming the remaining angle in right triangle be x. Forming the equation now -
x + 7 + 90 = 180
Performing addition on Left Hand Side of the equation to find the value of x
x + 97 = 180
x = 180 - 97
Performing subtraction on Right Hand Side of the equation to find the value of x
x = 83
Thus, the measure of other angles is 83° and 90°.
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Find the x,y,z
For 10points
Answers
Answer:
x = y = 110°z = 70°Step-by-step explanation:
You want to know angles x, y, and z in the given figure where parallel lines 'a' and 'b' are crossed by a transversal. The sum of these angles is 290°.
Consecutive interior anglesAngles y and z are called consecutive interior angles. As such, they are supplementary, so their sum is 180°.
x + y + z = 290°
x + 180° = 290°
x = 110°
Vertical anglesAngles x and y are vertical angles, so are congruent.
y = x = 110°
Then z is found from ...
y + z = 180°
110° + z = 180°
z = 70°
The measures of x, y, and z are 110°, 110°, and 70°, respectively.
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Determine whether each relation represents a function. If it is a function, state the domain and range. a) {(1,4),(2,5),(3,6),(4,7)} b) {(−3,9),(−2,4),(0,0),(1,1),(−3,8)}
Answers
a) The relation {(1,4),(2,5),(3,6),(4,7)} represents a function. Domain: {1,2,3,4}. Range: {4,5,6,7}.b) The relation {(−3,9),(−2,4),(0,0),(1,1),(−3,8)} does not represent a function due to multiple outputs for input -3.
a) The relation {(1,4),(2,5),(3,6),(4,7)} represents a function because each input value (x) has a unique output value (y). The domain of the function is {1,2,3,4}, which includes all the x-values. The range is {4,5,6,7}, which includes all the corresponding y-values. In this case, for each x-value, there is only one y-value associated with it.
b) The relation {(−3,9),(−2,4),(0,0),(1,1),(−3,8)} does not represent a function because the input value -3 is associated with two different output values, 9 and 8. In a function, each input value should have a unique output value, but in this case, the input -3 has two different outputs, violating the definition of a function.Therefore, the relation in (a) represents a function with a defined domain and range, while the relation in (b) does not represent a function due to the presence of multiple outputs for a single input.
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PLEASE HELLLLP ME, SAT PREP QUESTION
Answers
Answer: It would be D. 22.5°
Have a nice day!
Select the correct answer.
An image of two lines m and n parallel to each other. Lines p and q are parallel to each other. Line p and n for a hundred degrees angle. The angle formed by lines q and m is marked x.In the figure, lines m and n are parallel to each other. Lines p and q are also parallel to each other. What is the value of x?
A.
40°
B.
80°
C.
100°
D.
180°
Answers
if Lines p and q are also parallel to each other then value of x is 100, option C is correct.
What are Parallel lines?Parallel lines are coplanar infinite straight lines that do not intersect at any point.
The known angle is supplementary with angle A (Look at the attachment), that means that the sum of the known angle and A is 180°, therefore the value of angle A is 80°
Angle A and B are corresponding angles, which means that they have the same value, that happens because p and q are parallels and both cut line n in the same way. the value of the angles B is 80°
Angles B and C are corresponding too, so the value of the angle C is 80°.
Angles C and X are supplementary too for which the sum of X and C is 180°, so the value of X is 100°
Hence, if Lines p and q are also parallel to each other then value of x is 100, option C is correct.
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What is cos H for this triangle?
Enter your answer by filling in the boxes.
cos H=
Answers
Answer:
k/j
Step-by-step explanation:
i just took the test, good luck!
Tony spent $11.24 and bought 5 packs of notebooks and a calculator. How much does a pack of notebooks cost if a calculator costs $7.49?
Answers
Find the slope of the line.
Answers
Answer:
D) -6/5
Step-by-step explanation:
Find the maximum value of 3√xyz if x+y+z=1.
Answers
1/2
The maximum value of 3√xyz can be found by maximizing the expression when x+y+z=1.
Let x=a, y=b and z=1-a-b. Substitute these values into the expression to get: 3√(ab(1-a-b))
Take the derivative of the expression with respect to a and b, and set each equal to 0:
da/da: 3√ab(1-a-b)+ab(-1)=0
db/db: 3√ab(1-a-b)+ab(-1)=0
Solve each equation to get a=b=1/2, so the maximum value of 3√xyz when x+y+z=1 is the maximum value of 3√(1/8), which is 1/2. Therefore, the maximum value of 3√xyz when x+y+z=1 is 1/2.
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Paulo has a certain amount of money. If he spends
$6.00, then he has of the original amount left.
.
Answers
so the answer is 1/4
The cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. If c = $54 when n is 9,
what is the cost of the sandwiches when n is 3?
$18
$21
$27
$48
Answers
The cost of the sandwiches when n is 3 is $ 18
What is meant by directly proportional?When a variable increases or decreases with the increase or decrease in another variable, then the two variables are said to be directly proportional to each other. To omit the proportionality sign we need to impose a constant.How to know what is the cost of the sandwiches ?According to the problem,
The cost, c, of a ham sandwich varies directly with the number of sandwiches, n.So, we can write c = kn, where k is the constant of proportionality.
Again, it is given that
If c = $54 when n is 9.So, k = 54/9 = 6
∴ we can write c = 6n
Now, when n = 3 ,
c = 6 x 3 = 18
∴ the cost of the sandwiches when n is 3 is $ 18
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two dice are rolled what is the probability of getting doubles or a sum of 6 given that at lwast one die shows 2
Answers
The probability of getting doubles or a sum of 6, given that at least one die shows 2, is 1/6.
To solve this problem, we need to consider two events: Event A, which represents getting doubles (both dice showing the same number), and Event B, which represents getting a sum of 6.
Getting doubles: There are 6 possible outcomes for doubles (1-1, 2-2, 3-3, 4-4, 5-5, and 6-6) out of the total 36 possible outcomes when rolling two dice (6 outcomes for the first die multiplied by 6 outcomes for the second die). Therefore, the probability of getting doubles is 6/36, which simplifies it to 1/6.
Getting a sum of 6: There are five possible outcomes that give a sum of 6: (1-5, 2-4, 3-3, 4-2, and 5-1). Again, considering the total of 36 possible outcomes, the probability of getting a sum of 6 is 5/36.
Now, we need to find the probability of getting doubles or a sum of 6, given that at least one die shows 2. This means we have three favorable outcomes: (2-2 for doubles, 1-5, and 2-4 for a sum of 6), out of a total of 11 possible outcomes where at least one die shows 2.
To calculate the probability, we divide the number of favorable outcomes (3) by the total number of possible outcomes (11), resulting in a probability of 3/11.
Therefore, the final probability of getting doubles or a sum of 6, given that at least one die shows 2, is 3/11, which simplifies to approximately 0.273 or 27.3%.
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find the perimeter of a regular pentagon with each side measuring 6cm.
Answers
Answer:
30cm
Step-by-step explanation:
Perimeter of a Pentagon=5L
P=5×6cm=30cm
Graph the solution to this inequality on the number line.
−4m+3>11
Answers
Subtract numbers
-4m>11-3
Evaluate and subtract
-4m>8
Divide by -4
Solution
M<-2
Answer: The person above me is correct. Here is a picture if you still dont get it..
Step-by-step explanation:
What is the complex number with polar coordinates (3, StartFraction 5 pi Over 6 EndFraction).? Round the coefficients to the nearest thousandth.
z = 1.5 – 2.598i
z = –2.598 + 1.5i
z = 2.598 – 1.5i
z = 1.5 + 2.598i
Answers
The complex number with polar coordinates (3, StartFraction 5 pi Over 6 EndFraction) is:
z = 2.598 - 1.5i
What is the complex number?
Complex numbers are the numbers that are expressed in the form of a+ib where, a, and b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).
This can be found by using the polar form of a complex number, which is:
z = r (cos θ + i sin θ)
where r is the magnitude or modulus of the complex number, θ is the angle in radians, and i is the imaginary unit.
In this case, we have r = 3, and θ = StartFraction 5 pi Over 6 EndFraction. Plugging these values into the equation above gives:
z = 3 (cos (StartFraction 5 pi Over 6 EndFraction) + i sin (StartFraction 5 pi Over 6 EndFraction))
z = 2.598 - 1.5i
we can round the coefficients to the nearest thousandth.
The complex number with polar coordinates (3, StartFraction 5 pi Over 6 EndFraction) is z = 2.598 - 1.5i.
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If P(B)=0.3,P(A∣B)=0.5,P(B ′ )=0.7, and P(A∣B ′ )=0.8, find P(B∣A).
Answers
If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113
To find the value of P(B|A), follow these steps:
The probability of B given A can be given by the product of the probability of A given B and the probability of B, divided by the total probability of B. So, the formula for P(B|A) = P(A|B) * P(B) / [P(A|B)*P(B)+P(A|B')*P(B')]. Substituting the values, we get P(B|A) = (0.5) (0.3) / [(0.5) (0.3) + (0.8) (0.7)] ⇒P(B|A) = 0.15 / [0.15 + 0.56] ⇒P(B|A) = 0.15 / 0.71 ⇒P(B|A) = 0.2113. Therefore, P(B|A) = 0.2113.Learn more about probability:
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Two scout patrols start hiking in opposite directions. Each patrol hikes 5 kilometers. Then the scouts turn 90 degrees to their right and hike another 6 kilometers. How many kilometers are there between the two scout patrols?
Answers
The distance between the two scout patrols is approximately 11.66 kilometers.
We can see that the situation forms a right triangle with the hypotenuse representing the distance between the two scout patrols. Let's call this distance d.
Each patrol initially hikes 5 kilometers in opposite directions. This means that the distance between them at this point is 10 kilometers (5 km + 5 km).
Then, each patrol turns 90 degrees to their right and hikes 6 kilometers. This means that they travel along the legs of the right triangle, which have a length of 6 kilometers.
Using the Pythagorean theorem, we can solve for the hypotenuse:
d² = 10² + 6²
d² = 136
d ≈ 11.66 km
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if the first and last terms of an arithmetic series are 5 and 27, respectively, and the series has a sum 192, then the number of terms in the series is
Answers
If the first and last terms of an arithmetic series are 5 and 27, respectively, and the sum of the series is 192, then the number of terms in the series can be calculated as 12.
To find the number of terms in the arithmetic series, we can use the formula for the sum of an arithmetic series:
Sum = (n/2)(first term + last term)
We are given the first term (5), the last term (27), and the sum (192). Plugging these values into the formula, we have:
192 = (n/2)(5 + 27)
Simplifying the equation:
192 = (n/2)(32)
192 = 16n
Dividing both sides of the equation by 16:
n = 192/16
n = 12
Therefore, the number of terms in the arithmetic series is 12.
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molly bought 4.25 pounds of fish $10.20 . how much is six pounds at the same rate ?
Answers
find the sum of the arithmetic sequence.
-10, -7, -4, -1, 2, 5, 8
Answers
Answer:
-7
Step-by-step explanation: