Step-by-step explanation:
Hey there!
The centre of a circle is (-1,-1) and radius is 1 unit.
From centre of a circle (h,k) and radius "r" , the equation is (x-h)²+(y-k)² = r²
Then;
(x+1)² + (y+1)² = 1²
Therefore, the equation of a circle is (X+1)² + (y+1)² = 1.
Hope it helps!
An investment company advertised that last year its clients, on average, made a profit of 8% . Assuming that average refers to the mean, which of the following claims must be true based on this information?
a. This year some of their clients will make a profit of at least 8%.
b. Last year some of their clients made a profit of at least 8%.
c. Last year more than half of their clients made a profit of at least 8%.
d. Last year at least one of their clients made a profit of more than 11%.
e. Last year at least one of their clients made a profit of exactly 8%.
f. None of the above statements is true.
Answer:
The answer is "Option 2".
Step-by-step explanation:
Please find the complete question in the attached file.
When there is a mean value k in a set of data. Otherwise, we will assert with certainty that at least one of the values is k. They can't say anything at all about the maximum or even the minimum using knowledge only. Nevertheless, we know that certain numbers cannot be over and that all numbers cannot be below than mean. Mean also no value throughout the data set must be equal.
[tex]\frac{y^2}{36} -1[/tex]
Answer:
that's my answer
Step-by-step explanation:
i hope it helps
The equation y=8.50x + 33 can be used to estimate the monthly premium y of a $250,000 term life insurance policy for a male smoker who is more than 40 year old. In this equation, x is the age of a man above 40. For example, a 60 year old male smoker, x =20. Estimate the monthly insurance premium for a 48-year old male smoker. (Show all work)
Answer:
$101
Step-by-step explanation:
Given
[tex]y = 8.50x + 33[/tex]
[tex]x \to[/tex] age above 40
Required
Insurance for 48 years old
First, we solve for x
[tex]x = 48 - 40[/tex]
[tex]x = 8[/tex]
So, we have:
[tex]y = 8.50x + 33[/tex]
[tex]y = 8.50 * 8 + 33[/tex]
[tex]y = 68 + 33[/tex]
[tex]y = 101[/tex]
On a coordinate plane, 3 lines are shown. Line m has points (negative 4, 3) and (0, negative 4). Line n has points (1, 2) and (3, negative 2). Line k has points (negative 3, negative 3) and (4, 1).
Use the diagram to answer the questions.
Is line m parallel to line n? Explain.
Is line m perpendicular to line k? Explain.
Answer:
actually, the answers are "No, the slopes are not equal"
and "Yes, the slopes are negative reciprocals".
Reason: just did it!!!!
Answer:
"No, the slopes are not equal"
and "Yes, the slopes are negative reciprocals".
Step-by-step explanation:
Which inequality represents that - 14 more
than twice a number is no less than 18?
A -14 + 2n > 18
B -14 + 2n < 18
C-14 + 2n = 18
D-14 + 2n s 18
Answer:
A) -14 + 2n > 18
Step-by-step explanation:
inequality represents that - 14 more than twice a number is no less than 18.
Hope it is helpful...PLEASE HELP
A cube is a solid figure with six faces. Each face is a square. The surface area of a cube is the total area of all faces of the cube. When I increase the side length of a certain cube by 4, the surface area increases by 576. What is the volume of the original cube?
Step-by-step explanation:
the answer is in the image above
The volume of the original cube is 1000 cubic units.
What is volume of cube?The volume of a cube is equal to the product of length, width and height of a cube.
Let the length of side of the original cube = L
The surface area of the original cube A₁ = 6 L²
When increase the side length of a certain cube by 4
The surface area of the increased cube A₂ = 6 (L + 4)²
The surface area increases by 576
So, 6(L + 4)² - 6 L² = 576
6(L² + 16 + 8L) - 6 L² = 576
Divided by 6 both the sides,
L² + 16 + 8L - L² = 96
16 + 8L = 96
8L = 96 - 16
8L = 80
L = 80/8
L = 10
So, the length of side of the original cube = L = 10 units
The volume of the original cube = L³
The volume of the original cube = (10)³
The volume of the original cube = 1000 cubic units
Learn more about volume of cube here :
https://brainly.com/question/15420947
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(b) Only one of the sets can contain all five correct answers. If you are guessing, so that you are as likely to choose one sequence of answers as another, what is the probability of getting all five answers correct
Solution :
Given that there is only one set which can contain all the five correct answers. While guessing that I am likely to choose only one sequence of the answers as another, then the probability of getting all the five answers correct is given by :
Given : X [tex]\sim[/tex] binomial [tex]$\left( 5 , \frac{1}{3} \right)$[/tex]
P (X = 5)
[tex]$= \ ^5C_5\left({\frac{1}{3}\right)^5\left(\frac{2}{3}\right)^0$[/tex]
= 0.00412
Thus the probability is 0.00412
Which equation can be used to find the measure of angle BAC?
Answer:
Step-by-step explanation:
tan x= opp./adj.
tan x = 12/5 so
x = tan^-1 (12/5)
second choice
Answer:
B
Step-by-step explanation:
What is the area of the parallelogram shown?
Answer:
Area = 96 square m
Step-by-step explanation:
[tex]Area = base \times height = 12 \times 8 = 96 \ m^2[/tex]
Answer:
The area of parallelogram is 96 m ².
Step-by-step explanation:
According to the question , we have given a parallelogram with base 12 m and height is 8 m. We need to find the area of parallelogram.
Solution :-Using Formula
Area of parallelogram = Base × Height
Substitute the values into this formula
Area of parallelogram = 12 m × 8 m
multiply, we get
Area of parallelogram = 96 m²
Therefore, The area of parallelogram is 96 m ².
PLS PLS HELP ME IM STUCK
Question 7 of 10
What is the value of y?
60"
A. 30°
O
B. 120°
O
C. 40°
D. 609
Answer:
Hello! answer: y = 60
Step-by-step explanation:
Hope that helps!
Answer:
D) 60°
Step-by-step explanation:
If you look at the triangle, you could see that all the angles and sides are congruent. Vertical angles, or opposite angles. You could find the value of y, by looking at the other angles and sides and comparing them.
Hope this helps!
Note:
Pls notify me if my answer is incorrect, for the other users that will see this response. Thank you.
-kiniwih426
If you horizontally stretch the quadratic parent function, f(x) = x^2, by a factor
of 5, what is the equation of the new function?
Answer:
New functinon is g(x) = (1/32)x^5
Step-by-step explanation:
If you horizontally stretch the quadratic parent function, f(x) = x^2, by a factor
of 5, the equation of the new function will be g(x) = (x/5)^2, or g(x) = (1/32)x^5
What is the equation of the circle with center (−2, 5) that passes through
the point (4, −1)? Write the steps and instructions to find the equation.
Answer:
Step-by-step explanation:
the equation is 8 cause 10 equals 8
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.03 cm thick to a hemispherical dome with diameter 42 m. (Round your answer to two decimal places.) m3
Step-by-step explanation:
The volume of a hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3[/tex]
Taking differentiation,
[tex]\dfrac{dV}{dr}=2\pi r^2[/tex]
So,
[tex]dV=2\pi r^2\times dr[/tex]
Put r = 21 m and dr = 0.03 cm = 0.0003 m
[tex]dV=2\pi \times 21^2\times 0.0003\\\\dV=0.831\ m^3[/tex]
Hence, this is the required solution.
A farmer has a 40-acre farm in Georgia. The farmer is trying to determine how many acres of corn, peanuts, and cotton to plant. Each crop requires labor, fertilizer, and insecticide. The farmer has developed the following linear programming model to determine the number of acres of corn (X1), peanuts (X2), and cotton (X3) to plant in order to maximize profit. Max 550 X1 350 X2 450 X3 s.t. Constraint 1: 2 X1 3 X2 2 X3
Answer:
z (max) = 17461.54 $
x₁ = 29.23 acres
x₂ = 0
x₃ = 3.07
Step-by-step explanation: INCOMPLETE QUESTION.
As the problem statement establishes: "Each crop requires labor, fertilizer, and insecticide" and information about quantities and availability does not exist. To build a model and that such model would be feasible I copy from the internet the following data. We assume the problem is to maximize the number of acres to plant with a maximum of profit ( we will use as profit the numbers 550 ; 350 ; 450 for acres of corn, peanuts, and cotton)
Then z = 550*x₁ + 350*x₂ + 450*x₃ to maximize
labor (h) fertilizer ( tn) Insecticide (Tn)
acres of corn (x₁) 2 4 3
acres of peanut (x₂) 3 3 2
acres of cotton (x₃) 2 1 4
Availability acres 40 120 120 100
Constraints:
1) Size of the farm 120 acres
x₁ + x₂ + x₃ ≤ 40
2) labor 120 h
2*x₁ + 3*x₂ + 2*x₃ ≤ 120
3) Fertilizer 120 Tn
4*x₁ + 3*x₂ + 1*x₃ ≤ 120
4) Insecticide 100 Tn
3*x₁ + 2*x₂ + 4*x₃ ≤ 100
The Model is:
z = 550*x₁ + 350*x₂ + 450*x₃ to maximize
Subject to:
x₁ + x₂ + x₃ ≤ 40
2*x₁ + 3*x₂ + 2*x₃ ≤ 120
4*x₁ + 3*x₂ + 1*x₃ ≤ 120
3*x₁ + 2*x₂ + 4*x₃ ≤ 100
x₁ ≥ 0 ; x₂ ≥ 0 ; x₃ ≥ 0
After 3 iterations using an on-line solver optimal solution is:
z (max) = 17461.54 $
x₁ = 29.23 acres
x₂ = 0
x₃ = 3.07
write the equation to the axis of symmetry for this graph. help??
Which of the following is the net of a pyramid?
Answer:
The answer is A
Step-by-step explanation: a net of a pyramid will always have a square and 4 triangles around it.
Pls help ASAP!!!!!!!!!!! I NEED HELP IMMEDIATELY!!!
Jaime had ten posters, but only five could fit on his closet door. How many different ways can he arrange the five posters out of the ten on his closet door?
A. 252
B. 648
C. 6,048
D. 30,240
Answer:
its c
Step-by-step explanation:
With the spot rate E_VND/USD = 21,000, the Forward Rate: F_VND/USD = 21,250; the Expected Rate after 3 months: Ee_VND/USD = 22,000, the hedging cost to an importer participating in the risk handling will be?
Answer:
Step-by-step explanation:
The importer needs to make the payment in the VND each time so the importer may enter into hedge to protect himself from the appreciation of the VND against the dollar, now if the importer enters into the forward contract of the hedge and he come across the reverse situation that means the VND is depriciating that means if the hedger would not have entered into a forward contract then they would have benefited more.
Lets convert above above rate in per VND rate to understand better.
E_USD/VND = 1/21000 = 0.000048
F_USD/VND = 0.000047
Ee_USD/VND = 0.000045
so as we can see above if we had enter into a hedge contract we have to pay the 0.000047 per VND and if we would not have enter into the contract we would have to pay the 0.000045 per VND hence cost of Hedging is 0.00002 USD per VND.
A silver bracelet weighs 106.5 grams, which is 21.3 times the weight of a silver coin.
If represents the weight of the coin, which equation can be used to find ?
factorize for me
y + 3y + 2-sin2x=0
Answer:
−(−4y−2+sin2(x))=0
Step-by-step explanation:
Can someone plz help..
Answer:
x = 40
3x=120
x+40 = 120
Step-by-step explanation:
The angles are vertical angles which means they are equal
3x= x+80
Subtract x from each side
3x-x =x+80-x
2x = 80
Divide by 2
2x/2 = 80/2
x = 40
3x = 3(40) =120
x+80 = 40+80 = 120
Name two pairs of congruent angles.
ZOSQE ZPSR and
ZOSP = Pse
ZOSQE ZPSR and
ZOSP = ZOSR
Losee ZPSR and
ZPSQ E ZOSR
ZOSP= PSQ and
ZPSQ E ZOSR
ZOSP= PSQ and
ZPSQ E ZOSR
You are given that 3x cubed = 375. Find the value of X
Answer:
375 divided by 3= x. 375/3= 125, the cube root is 5. X=5
Step-by-step explanation:
hope it helped
Answer:
1. 3x^3= 375
2. =>x^3= 375/3
3. => x^3= 125
4. =>x^3=( 5)^3
5. =>x=5
Step-by-step explanation:
No explanation
Help pleaseee (pre algebra)
Answer:
Robert had 78 coins or c=78
A card player selects 2 cards from a deck of 52 cards at random without replacement. The deck contains 4 aces.
What is the probability that both cards the player selects are aces?
Answer:
2/52
Step-by-step explanation:
If he took one ace out of 52 cards then it would have been 4/52
but as he's taking 2 aces out of 52 cards it is 2/52
Answer:
[tex]P(AA) =\frac{1}{221}[/tex]
Step-by-step explanation:
Deck contains = 52 cards
Deck contains = 4 Aces
Probability of choosing ace first time
[tex]= \frac{4}{52}[/tex]
Probability of choosing ace again without replacement
[tex]=\frac{3}{51}[/tex]
Probability of 2 aces without replacement
[tex]=\frac{4}{52} \times \frac{3}{51}\\\\=\frac{1}{13} \times \frac{1}{17}\\\\=\frac{1}{221}[/tex]
Plz help me solve this thanks
Answer:
y= -6/7
Step-by-step explanation:
.............. I did it, trust me
GIVING OUT BRAINLIEST HELP ME PLSSS !!!
Answer:
y=8
Step-by-step explanation:
take 60 degree as reference angle
using cos rule
cos 60=adjacent/hypotenuse
1/2=4/y
do cross multiplication
y=4*2
y=8
What would be the answer to this question? I am kinda stuck on this one.
Answer:
C = 16pi
Step-by-step explanation:
C = 2*pi*r where r =8
C =2*pi*8
C = 16pi
Answer:
[tex]c = 16\pi[/tex]
Step-by-step explanation:
1: Substitute:
[tex]c = 2\pi \: r \\ r = 8 \\ c = 2\pi \times 8[/tex]
2: Solve the equation:
[tex]c = 2\pi \times 8[/tex]
Calculate:
[tex]c = 16\pi[/tex]
I WILL MAKE YOUR ANSWER THE BRAINLIEST IF YOU KNOW IT IS RIGHT
FIND THE VOLUME OF THE CONE
Answer:
[tex]v = \pi \: r {}^{2} \: \frac{h}{3} \: = \: 3.14 \times \: 2 {}^{2} \times \frac{9}{3} = 37.68[/tex]
Step-by-step explanation:
•|◉ jess ◉|•#keep learning
Complete the square to find the y-value for the minimum value of the function-f(x)=x^2-8x+28
9514 1404 393
Answer:
12
Step-by-step explanation:
The square can be completed by adding and subtracting the square of half the linear term's coefficient.
f(x) = x^2 -8x +(-8/2)^2 +28 -(-8/2)^2
f(x) = (x^2 -8x +16) +(28 -16)
f(x) = (x -4)^2 +12
The minimum value of the function is 12, when the squared term is zero.