Answer:
( x+ 2.4) ^2 + ( y+4.8) ^2 = 45
Step-by-step explanation:
The equation of a circle can be written as
( x-h) ^2 + ( y-k) ^2 = r^2
Where ( h,k) is the center and r is the radius
( x-- 2.4) ^2 + ( y--4.8) ^2 = (sqrt45)^2
( x+ 2.4) ^2 + ( y+4.8) ^2 = 45
Chelsea is solving a quadratic equation. She wants to find the value of x by taking the
square root of both sides of the equation. Which equation allows her to do this?
x2 + 10x + 16 = 25
x2 + 12x + 36 = 17
X2 + 5x + 25 = 64
x2 + 16x + 4 = 18
Step-by-step explanation:Step-by-step explanation:
For Sienna to be able to take the square root of both sides while solving a quadratic equation, she must have an expression with square on at least, the side that contains the variable she is trying to determine. Equation of the form:
(x + a) ² = b
'a' and 'b' could be any number, -1, 0, 1/3, -5/6, anything really.
So, she can take square roots of both sides then, like this
√(x + a)² = √b
x + a = ±√b
x = -a ± √b
Square roots always cancel out squares, and the '±' is because a square is satisfies by both + and -, 3² = 9, and (-3)² = 9.
It is the nature of the problem being solved that determines if we take just one or both of these answers.
Will give the brains of me brains and my brains and maby ur brain to u how many brains can i give u if u ask this quetion right?
Answer:
2.4 bags
Step-by-step explanation:
Uh you can keep your brains.
Using the data table, we get:
1, 2, 2, 3, 4 as our data.
Finding the mean:
(1+2+2+3+4)÷5=
12÷5=
2.4 bags
At which value in the domain does f(x)=0? On a coordinate plane, a function goes through the x-axis at (negative 2.5, 0), (negative 0.75, 0), (0, negative 3), and (1, 0).
Answer:
The values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
Step-by-step explanation:
Since we are given the points (-2.5,0), (-0.75, 0), (0, -3) and (1,0) where the coordinates are in ordered pairs of (x, y) where y = f(x).
To find the values in the domain where f(x) = 0, we look at the ordered pairs given.
We look for the pair in which f(x) = 0.
So f(x) = 0 in (-2.5, 0)
f(x) = 0 in (-0.75, 0)
and f(x) = 0 in (1, 0)
The corresponding values of x in which f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
So, the values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
Answer:
C. [tex]x=1[/tex]
Step-by-step explanation:
When x is 1, y is 0.
what is the vertex of g(x)=8x^2-64x? a) (4,-128) b) (-4,-128) c) (4,-16) d) (-4,-16)
Answer:
The correct answer is D.
Step-by-step explanation:
Answer:
The answer is A.) (4,-128)
Step-by-step explanation:
area of parallelogram is 30cm^2 .
If the length of two adjacent
sides are 6 cm and 10cm
respectively. Find its diagonal
Answer:
The lengths of the diagonals are;
15.49 cm and 5.66 cm
Step-by-step explanation:
The given area of the parallelogram = 30 cm²
Also the length of 2 adjacent sides are 6 cm and 10 cm
Given that the formula for the area of a parallelogram = Base × Height, h where the base is either of the sides of the parallelogram we have;
When the base b = 10 m and the other side, a = 6 cm the diagonal, d is given by the relationship, d² = (a + √(b² - h²))² + h²
10 × h₁ = 30
h₁ = 30/10 = 3
d₁² = (b + √(a² - h₁²))² + h₁² = (10 + √(6² - 3²))² + 3² = 239.92 cm²
d₁ = √(239.92 cm²) = 15.49 cm
The other diagonal can be found from the following relationship;
d₂² = (b - √(a² - h₁²))² + h₁²
d₂² = (10 - √(6² - 3²))² + 3² = 32.08 cm²
d₂ = √(32.08 cm²) = 5.66 cm.
help quick quick quick qucik
Answer: 85 = 3.75x + 12.25
The restaurant can have 19 loads
Step-by-step explanation:
The 85 accounts for the restaurant's budget. The 3.75x accounts for the cost of each load. The 12.25 accounts for the delivery fee.
85 = 3.75x + 12.25
Subtract 12.25
72.75=3.75x
Divide by 3.75
19.4=x
Round down
x = 19
Hope it helps <3
Answer:
19.4
Step-by-step explanation:
3.75x+12.25=85
subtract 12 from both sides, and divide to put the variable alone.
Then you have to get 19.53333333
Round up and its 19.4
Check if it is true
3.75×19.4+12.25=85
In a circle PQ & RS are two chords bisecting each other,prove that the two parts of one chord are equal to the two parts of the other.
Answer:
see proof below
Step-by-step explanation:
Let
p1,p2 = half lengths of chord p
q1,q2 = half length of chord q
By the intersecting chord theorem,
p1*p2 = q1*q2, substituting p1=p2, q1=q2
p1^2 = q1*2
Take square-roots and reject negative roots
p1 = q1
therefore
p1=p2 = q1=q2, or
two parts of one chord are equal to the two parts of the other.
Sarah serves at a restaurant and makes 20% of what she sells as tips. Her base salary is $10.20an hour. Each hour she sells an average of $60 of food and drinks. She also makes time and a half when she works over 8 hours during a single shift. Her work week contains three 10-hour shifts, one 5-hour shift, and one 11-hour shift. Using the same income deductions as stated in the previous question, what is Sarah’s annual gross income and annual net income.
Sara works 46 hours per week
9 hours are overtime and 37 hours are regular time
pay rate at time and a half: 10.20∗1.5=15.30
regular hours plus overtime pay
37∗10.20=377.40
9∗15.30=137.70
Income due to tips
Total hours worked∗60per hour∗20%
46∗60∗.20=552
Weekly Income=Hourly income + tips
Weekly Income=377.40+137.70+552.00
Weekly Income=1067.10
Annual income=Weekly income∗52
Annual income=55489.20
If Line LK = 16, find the length of Line JK.
Answer:
JK = 16√2
Step-by-step explanation:
This triangle is a special case right triangle, where you have 1 90-degree angle and 2 45-degree angles. The sides that correspond to the 45-degree angles are scalable by 1 and the hypotenuse is scalable by √2. Sometimes these are called 1-1-√2 triangles, describing the measurements of the sides.
Since this has a side of 16, the hypotenuse will be 16√2.
Cheers.
Factor the expression completely 18^2-32
Answer:
292
Step-by-step explanation:
To factor this, we need to multiply 18 by 18 to get 324 because the ^2 means you have to multiply the number by itself twice. Then, we subtract 32 from 324 to get our answer 292.
Please help me... tysm if you do
Answer:
The answer is B.
Step-by-step explanation:
Since x < 1 the circle at the point is open and the arrow points infinitely in the negative direction (which happens to be answer A here)
x is also greater than or equal to -1 so a closed circle at the point -1 will complete this graph.
Nine-banded armadillos always give birth to quadruplets—four identical babies (called pups). Jenny’s armadillo has produced four female pups. Jenny realizes that each of those pups could eventually have four more armadillos.
a. How many armadillos would Jenny have if the four pups grew up to have four more pups each?
b. What if every generation of Jenny’s armadillos was female? How many armadillos would there be if you only count the ones in the 5th generation? Can you write a formula for the number of armadillos in any given generation? Please explain what each variable and each number in your formula means.
c. According to this formula the world should be overrun with armadillos after 20 to 25 generations. Why isn’t this true in real life?
Answer:
a. 16; b. aₙ = 4ⁿ⁻¹; c. predation and carrying capacity will limit the population
Step-by-step explanation:
a. The first female had 4 pups.
If each of them had 4 pups, there would be 4 × 4 = 4² = 16 pups.
b. 1st generation = 1 pup
2nd generation = 4 × 1 pup = 4 pups
3rd generation = 4 × 4 pups = 16 pups
4th generation = 4 × 16 pups = 64 pups
5th generation = 4 × 64 pups = 256 pups
The sequence is 1, 4, 16, 64, 256, …
We can also write it as 4⁰, 4¹, 4², 4³, 4⁴, …
Note that the exponent is one less than the number of the generation.
Thus, the general formula for the nth term, aₙ, is
aₙ = 4ⁿ⁻¹, where
n = the number of the generation
a = the number of pups in that generation.
c. a₂₅ = 4²⁵⁻¹ = 4²⁴ ≈ 281 000 000 000 000 or 281 trillion
The population would not reach that number because there would not be enough food for all those pups. Pups would die of starvation until their numbers equalled the carrying capacity of the ecosystem and would level off at that point.
There would also be increased predation by coyotes, bobcats, etc. This would also keep the population growth in check,
if m∠2= 137 and m∠P= 22, what is m∠O? answers are 43,21,65,115
Answer:
21
Step-by-step explanation:
since it is a triangle subtract 180 by 137 and 22
180-(137+22) or 180-132-22
hope this helps
Answer:
21
Step-by-step explanation:
We khow that the sum of a triangle's angles sizes is 180°
137+22 = 159°substract the sum of the two khown angles from 180°
180°-159° = 21 °so m<0 = 21°
write an equation of a line with the given slope and y intercept m =1/4,b=-3/4
Answer: y=1/4x-3/4
Step-by-step explanation:
We have our equation of a line formula y=mx+b
Then we substitute the given and get y=1/4x-3/4
Pls help me full steps I needed Find X
Answer:
x=60°
Step-by-step explanation:
Let's say the point where angle x is, be K
Because ABCD and PQRS are paralelograms,
∡PSR = ∡PQR =130°
and
∡DAB=∡DCB=70°
and by angles between parallels
∡SPQ + ∡PQR = 180°
∡SPQ + 130° = 180°
∡SPQ = 50°
by angles opposite by vertex
∡PKC = ∡BKQ = x
So in triangle PKC the sum of all angles must add up to 180°
so
∡SPQ + ∡PKC + ∡DCB = 180
50 + x + 70 = 180
x = 60
SOOMEONEEEEE PLEASE HELLLLLLP MEEEEEEEEE just answer these math problems (don't put an answer if you cant do it please because I checked all the time and I need this so BAAAD just comment for questions and more) :) technically is not homework but I just feel bad for not doing it (and ill marked it brainliest and 15 points if that is fine)
Answer:
2).X= 3.464 m
3).X= 86.60m
4).X= 51.96 m
5).X= 30 m
6). X=3.193 m
7). X= 126.2 m
8).79.41m = x
9). 14.3km = x
10). 173.21 m= x
Step-by-step explanation:
For question 2
Distance of ladder from the foot
Tan60= 6/x
X= 6/tan 60
X= 3.464 m
For question 3
The height of the wall x is
Sin 60= x/100
X= 100*0.8660
X= 86.60m
Question 4
The distance between tree and tower is x
Tan30 = 30/x
X= 30/tan 30
X= 30/0.5774
X= 51.96 m
Question 5
If TanA= 3/4
And base = 40 m
TanA= x/40
Equating
X/40= 30/40
X= 30 m
Question 6
The length of ladder= x
Cos 20 = 3/x
X= 3/cos20
X=3.193 m
Question 7
Length of the string= x
Sin 31= 65/x
X= 65/sin 31
X= 126.2 m
Question 8
Height of kite= x
Tan ∅ = 15/8
∅= Tan^-1(15/8)
∅=61.93°
Sin∅= x/90
Sin61.93 *90= x
79.41m = x
Question 9
Height above ground= x
Tan 50= x/12
Tan 50 * 12 = x
14.3 km = x
Question 10
Height of balloon above ground= x
Sin60= x/200
Sin 60 *200 = x
173.21 m= x
Select the correct answer. Compare the two functions.
-
Which statement is true?
A. As x increases, the rate of change of f(x) exceeds the rate of change of g(x).
B. As x increases, the rate of change of g(x) exceeds the rate of change of f(x).
C. At x = 2, the rate of change of g(x) is equal to the rate of change of f(x).
D. On every interval of x, the rate of change of f(x) exceeds the rate of change of g(x).
In other words, f(x) grows faster after a certain point. This is true when comparing any exponential curve to a linear one.
Choice B is false as it contradicts choice A.
Choice C is false as the tables show the function outputs are equal at x = 2, not the rates of change
Choice D is false because there are infinitely many intervals where f(x) grows slower compared to g(x). That's why I mentioned the "after a certain point" portion.
Answer:
A
Step-by-step explanation:
A carpenter makes wooden chairs. He has enough wood to make 30 chairs. He makes $60 profit on a dining chair and $90 profit on a rocking chair. It takes him 1 hour to make a dining chair and 2 hours to make a rocking chair. He only has 40 hours available to work on the chairs. The carpenter wants to maximize his profit given the constraints. He draws the graph below to represent this situation. Drag and drop the correct numbers to complete the statements below. Given the restraints, the carpenter can maximize profits by making Response area dining chairs and Response area rocking chairs. His total profit for all the chairs will be $Response area.
Answer:
The carpenter can maximize profits by making 20 dining chairs and 10 rocking chairs . His total profit for all the chairs will be $2100
Step-by-step explanation:
Let x be the no. of dining chairs and y be the no. of rocking chair
Time taken by carpenter to make 1 dining chair = 1 hour
Time taken by carpenter to make x dining chairs = x hours
Time taken by carpenter to make 1 rocking chair = 2 hour
Time taken by carpenter to make y rocking chairs = 2y hours
He only has 40 hours available to work on the chairs.
[tex]\Rightarrow x+2y \leq 40[/tex]
He has enough wood to make 30 chairs.
[tex]\Rightarrow x+y\leq30[/tex]
He makes $60 profit on a dining chair and $90 profit on a rocking chair.
So, profit =60x+90y
Plot the equations on graph
Refer the attached figure
Coordinates of feasible region
(0,20),(20,10) and (30,0)
Profit =60x+90y
At(0,20)
Profit = 1800
At(20,10)
Profit = 1200+900=2100
At(30,0)
Profit=900
So,the carpenter can maximize profits by making 20 dining chairs and 10 rocking chairs . His total profit for all the chairs will be $2100
Write each as a decimal. Round to the thousandths place. 0.2%, 756%, 762%, and 90%. Please answer i need it by tonight >~
Answer:
0.2%=0.200%
756%=756.000%
762%=756.000%
90%=90.000%
( plz mark me as brainliest, that wold be most appreciated! )
please help me solve
Answer:
20
Step-by-step explanation:
She will be 10 in 5 years witch means she is 5
Double five you get 10
10 + 10 = 20
Answer:
the answer is B.) 20 years old
Step-by-step explanation:
if in 5 years melissa is 10, then right now she is 5 years old. since laura is twice as old as melissa, then laura is currently 10 years old. and if Kim is 10 years older then laura, then Kim is 20 years old
Tl;Dr:
10-5=5
5x2=10
10+10=20
9/10 of the weight of a loaf of bread comes from the flour used in its baking. 2/9 of the weight is the protein what fraction of the weight is protein?
Answer:
1/5
Step-by-step explanation:
2/9 * 9/10 = 2/10 = 1/5
Mrs johnson grows herbs in square plots Her basil plot measures. 5. 9 yd on each side. A. Find the total area of the basil plot. B. Mrs. Johnson puts a fence around the basil. If the fence was 2 ft from the edge of the garden on each side, whats the perimeter
Answer:
Area = 34. 81 yd^2
Perimeter = 86.6 feets
Step-by-step explanation:
Given the following :
Shape of Mrs. Johnson's plot = square
All sides of a square are of equal length
Measure of each side = 5.9 yd
A.) Area of plot
Area of plot = Area of a square
Area of a square(A) = a^2
Where a = side length
A = 5.9^2
A = 34.81 yd^2
B) Perimeter of Basil plot = Perimeter of a square
Converting yard to feet
1 yard = 3feets
Therefore,
5.9 yards = (3 * 5.9) = 17.7 feets
Fence is 2ft from the garden on each side,
Length of fence on each side = (2 + 17.7 + 2) Feets = 21.7 Feets
Perimeter of a square (P) = 4a
Where a = side length
P = 4 × 21.7
P = 86.6 feets
Answer:
86.6 feet
Step-by-step explanation:
solve the equation by using substitution method X + 2 Y equal to 8 equation first 2 x minus 2 equal to 10 equation second
Answer:
(6, 1)
Step-by-step explanation:
x + 2y = 8
1. subtract 2y to get x alone -- x = -2y + 8
2. insert (-2y + 8) as x
2x - 2 = 10
2(-2y + 8) -2 = 10
3. distribute the 2
-4y + 16 - 2 = 10
4. combine like terms
-4y + 14 = 10
5. subtract 14 from both sides
-4y = -4
6. divide by -4
y = 1
7. plug y into any of the two original equations
x + 2(1) = 8
8. simplify
x + 2 = 8
x = 6
9. check answer with second equation
2(6) - 2 = 10
12 - 2 = 10
people tend to be more Satisfied with election results if their top choices win.for how many,and what percentage,of people was the winning
A. their first choice (12 people)
B their second choice (7 people)
C their third choice (3 people)
D their last choice (3 people)
im so dum and suck at math
Answer:
Our set of data is:
A. their first choice (12 people)
B their second choice (7 people)
C their third choice (3 people)
D their last choice (3 people)
The total number of people is:
12 + 7 + 3 + 3 = 25.
You already know the number of people for each situation, but let's calculate the percentage:
1st choice: The first choice of 12 people winned, and the total number of people is 25.
Now, 25 is our 100%, then 12 is equivalent to x;
Then we have
12*100% = 25*x
x = (12/25)*100% = 48%
This is:
The quotient between
Second choice:
Same reasoning as above, here the percentage is:
(7/25)*100% = 28%
Third choice:
Same reasoning as above, here the percentage is:
(3/25)*100% = 12%
Fourth/Last choice:
Same reasoning as above, here the percentage is:
(3/25)*100% = 12%
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
[tex]\sqrt{3}x^2y+x^3-x[/tex]
Step-by-step explanation:
In an expression that is a polynomial, the exponent of the variables (x and y) are natural numbers bigger or equal to 0. So, the only expression that is a polynomial is [tex]\sqrt{3}x^2y+x^3-x[/tex], because we have the exponents equal to 2, 3, and 1 for x and an exponent equal to 1 for y.
The other expressions have exponents that are negatives, rational or the exponent is the same variable.
QUICK!!! PLEASE HELP!!! 50 points.. and BRAINLIEST FOR THE QUICK AND CORRECT ANSWER.
A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until it reaches the peak at 2,000 feet. Then, as the car moves down to the hill’s base, its elevation drops at the same rate. The equation that models the cable car’s elevation, e, after t minutes is e = |t − | + . The cable car’s elevation will be 750 feet after minutes. (image attached)
Answer: [tex]e=-50|t-40|+2000[/tex]
The cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.
Step-by-step explanation:
Given: A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until it reaches the peak at 2,000 feet.
Then, total time taken to reach the peak = (Distance) ÷ (speed)
= (2,000 feet) ÷ ( 50 feet/minute)
= 40 minutes
Then, as the car moves down to the hill’s base, its elevation drops at the same rate.
The equation that models the cable car’s elevation, e, after t minutes is
e= (constant rate)|t- time to reach peak |+ Peak's height
[tex]e=-50|t-40|+2000[/tex]
When the cable car’s elevation will be 750 feet after minutes, then we have
[tex]750=-50|t-40|+2000\\\\\Rightarrow\ -50|t-40|=750-2000\\\\\Rightarrow\ -50|t-40|=1250\\\\\Rightarrow|t-40|=-\dfrac{1250}{50}\\\\\Rightarrow|t-40|=-25\\\\\Rightarrow t-40=-25\text{ or }t-40=25\\\\\Rightarrow t=-25+40\text{ or }t=25+40\\\\\Rightarrow t=15\text{ or }t=65[/tex]
Time cannot be negative, so the cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.
A plot of land is represented on a map whose scale is 1:10000.On the map perimeter of the plot is 24.8cm.Calculate,in km ,the actual perimeter of the plot
Answer:
24.8 km
Step-by-step explanation
To do this we would just multiply 24.8 by 10,000 which is 248000 and if we divide that by 10000 (to get km) we would get 24.8km
Mike ran 2 km in 13 minutes. If he continues at this same pace, how long will it take Mike to run 7 km? Round your answer to the nearest minute.
minutes
Answer:
46 minutes.
Step-by-step explanation:
2 km in 13 minutes would equal to 6 minutes and 30 seconds per km.
minutes: 6 x 7 = 42
seconds: 30 x 7 = 210
seconds pt 2: 210/60 = 3 minutes 30 seconds
adding altogether: 42 minutes + 3 minutes 30 seconds + 45 minutes 30 seconds, rounded would equal to 46 minutes
2) w(x) =
18
-X +-
5'
5. Find w
ܚ ܝ
13
67
A)
B)
10
17
70
39
C)
D)
20
40
PLZ HELP ):
Answer:
sorry don't know what is ans
Answer:
Hi Mate!
plz don't scan the questions, it will be incorrect
Pls help w this question
Answer:
f(x) = -2x + 1
Step-by-step explanation:
The given expression is [tex]\frac{64^x}{4^{5x-1}}[/tex]
By solving the given expression further,
[tex]\frac{64^x}{4^{5x-1}}[/tex] = [tex]\frac{[(4)^{3}]^x}{(4)^{5x-1}}[/tex] [Since 64 = 4³]
= [tex]\frac{4^{3x}}{4^{5x-1}}[/tex]
= [tex]4^{3x}\times 4^{-(5x-1)}[/tex] [Since [tex]\frac{1}{a}=a^{-1}[/tex]]
= [tex]4^{3x-5x+1}[/tex] [Since [tex]a^x\times a^y=a^{(x+y)}[/tex]]
= [tex]4^{(-2x+1)}[/tex]
By comparing the result with [tex]4^{\text{f(x)}}[/tex]
f(x) = -2x + 1
Therefore, f(x) = (-2x + 1) will be the answer.