Answer:
Domain : x ∈ Real Numbers
Range : y ≥ 30
Step-by-step explanation:
The given equation is:
[tex]y^2-9x^2=900[/tex]
Simplifying it
[tex]\frac{y^2}{900}-\frac{9x^2}{900}=\frac{900}{900}\\\frac{y^2}{900}-\frac{x^2}{100}=1\\\frac{y^2}{30^2}-\frac{x^2}{10^2}=1[/tex]
Where Standard equation of parabola is:
[tex]\frac{y^2}{a^2}-\frac{x^2}{b^2}=1[/tex]
Which are similar. Conic Section is a parabola.
Find Domain and Range:Simplify the given equation:
[tex]y^2-9x^2=900\\y=\sqrt{9x^2+900},y=-\sqrt{9x^2+900}\\y=3\sqrt{x^2+100},y=-3\sqrt{x^2+100}[/tex]
For whatever value of x, term under the square root always remains positive, so
Domain : x ∈ Real Numbers
For minimum value of x i.e 0, y=30. If we increase x, y also increases. So
Range : y ≥ 30
HELP ASAP I WILL GUVE YOU THE POINTS !!!!
This figure is made up of a
rectangle and parallelogram.
What is the area of this figure?
Enter your answer in the box. Do
not round any sides.
Answer: 52
Step-by-step explanation:
Liz flips a coin 60 times. The coin lands heads up 36 times and tails up 24 times. The EXPERIMENTAL probability of the coin landing heads up is ___%.
bruhhhh
Answer:
60%
Step-by-step explanation:
36 = heads
36/60 = 60%
Answer:
36/60OUT OF THE 60 TIMES THE COIN WAS FLIPPED IT LANDED HEADS UP 36 TIMES SO IT WOULD BE 36/60
Below is a histogram of the number of points the LA Rams scored each game last season. Based on the data, what is the probability the Rams scored at least 20 points?
A)31.25%
B)35.7%
C)50%
D)62.5%
E)66.7%
Answer:
The probability the Rams scored at least 20 points is 62.5%
Step-by-step explanation:
Data form histogram:
No. of points No. of games
0-9 2
10-19 4
20-29 5
30-39 3
40-49 2
Now we are supposed to find the probability the Rams scored at least 20 points
So, we are supposed to find the probability the Rams scored 20 or more than 20
So, Total no. of games = 2+4+5+3+2=16
No. of games where score is 20 or more than 20 =5+3+2 = 10
So, the probability the Rams scored at least 20 points = [tex]\frac{10}{16}=0.625[/tex]
So, the probability the Rams scored at least 20 points is 62.5%
Hence Option D is true .
The box is laid on its side and the white label covers 60% of the lateral surface area of the box. Find the length x of the box.
Answer:
Step-by-step explanation:
Sorry but u haven't mentioned anything measurements
Answer: 20.25 gallons
Step-by-step explanation:
It took Mary 40 minutes to run 8 laps around the playground, if she spent the same time running each lap, how long would it take to run 9 laps?
Answer:
it should take her 45 minutes to run 9 laps
Step-by-step explanation:
40/8 = 5
9*5 = 45
An ice cream factory makes 250 quarts of ice cram In 5 hours. How many quarts could be made in 36 hours? What was that rate per day?
Answer:1900 in 36 hours and 1200 in 24 hours
Step-by-step explanation:
Find how many they can make in an a hour first. 250 divided by 5. That makes 50. Multiply that by the amount of hours
PLEASE HELP ME. I REALLY NEED HELP
How can you determine the distance between the corners without measuring it?
Answer:
The distance formula
Step-by-step explanation:
This was kind of vague, but I'll try my best.
You can use the distance formula! It is basically the pythagorean theorem.
Here's the steps,
1. draw a right triangle from the corners. If you have graph paper, this should be relatively easy.
2. locate the hypotenuse, that is the distance.
3. next use the pythagorean theorem/ distance formula (same thing)
4. Except, instead of a and b and c, replace them with
(Change in x)²+(change in y)²= distance²
Now plug in the values
Now you're done!
# of pens cost of box
12- $25
50- $ ?
100- $175
the partially filled chart above shows the costof three sizes of boxes of pens sold by an office supply store. As the number of pens in a box increases, the cost per pen decreases. of the following, which could be the total cost of a box of 50 pens?
$75
$85
$95
$105
The distance between port M and port N is 162m. A ship left port M with a speed of 45 mph. In 45 minutes another ship left port N and went towards the first ship with a speed of 36 mph. How long after the departure of the first ship will the two ships meet?
Answer:
900 min = 15 hours
Step-by-step explanation:
when we convert the velocities of the ships into miles/ min we get
45mph = 45m/60min = 0.75m/min
36mph = 36m/60min = 0.6m/min
The equations determining the distances of the ships from the port M (set at x=0) are
D1 = 0.75t (for 45mph ship)
D2 = 162 + 0.6(t-45) (for 36mph ship)
The solution to these equation lie at t= 900 minutes; therefore the two ships will meet 900 minutes after the departure of the first ship.
Which of the following is the solution to |x|+19<3 ?
Answer:
My final answer was that it has no solution, I hope that is one of the choices you have for this task.
I hope this help.
Step-by-step explanation:
timed!!! few mins left HELP!
Answer:
2x - 15
3a + 17
1000/y
Step-by-step explanation:
1.
15 less means subtract 15
twice a number is 2x
Answer: 2x - 15
2.
increased by 17 means add 17
3 times a number is 3a
Answer: 3a + 17
3.
1000 divided by y number of employees
Answer: 1000/y
PLZ HELP Thom’s restaurant bill is $45 and he leaves a 20 percent tip. What is the total cost for Thom’s meal? $20 $54 $65 $90
Answer:
$[tex]54[/tex] would be the total bill.
Step-by-step explanation:
[tex]\frac{20}{100} = .20[/tex]
Multiply the total by .20
[tex]45 *.20=9[/tex]
Next, add the total and the tip.
[tex]45+9=54[/tex]
The total is $54.:)Pls Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
16
Step-by-step explanation:
range is the difference between the greatest and least value in s data.
27-11=16
Answer:
16
Step-by-step explanation:
subtract the highest number and the smallest number to get 27-11 = 16
Simplify. Assume that no denominator is equal to zero. 4^12/4^5 A. 4^7 B. 4^-7 C. 4^5 D. 1^7
Answer:
A
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\frac{4^{12}}{4^{5}}=4^{12-5}\\\\ = 4^{7}[/tex]
Answer:
A. 4^7
Step-by-step explanation:
4^12/4^5= 4^(12-5)=4^7
Option A
3. What sugar distinguishes RNA from DNA?
A ribose
Buracil
C cellulose
Dlactose
Answer:
A) Ribose
^^Hope this helps!
Answer:
the answer is ribose
Step-by-step explanation:
ribose nucleic acid , deoxyribose nucleic acid
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Mac waters plants for his neighbors when they are away. He graphed several points on a coordinate grid to represent the watering. The x-axis represents the number of plants he has watered in a given day, and the y-axis represents the number of gallons of water he has used to water them. Which point on his graph represents a different ratio of gallons of water to plants than the other points?
A. (16, 4)
B. (8, 2)
C. (24, 8)
D. (48, 12)
Answer:
option a ;)
Step-by-step explanation:
The value of y varies inversely as the cube of x and y=1 when x=6. Find the value of y when x =2.
Answer:
y=27 when x=2
Step-by-step explanation:
y varies inversely as the cube of x
y=k(1/X^3)
y=1 when x=6
y=k(1/X^3)
1=k(1/6^3)
1=k(1/216)
k=1÷1/216
K=1×216/1
k=216
find y when x=2
y=k(1/X^3)
y=216(1/2^3)
y=216(1/8)
y=216/8
y=27
2.3-7
Given f(x)=x-3 and g(x)=x+2, find (f+g)(2).
O A. -1
O B. 9
O C. 3
O D. 5
Answer:
3
Step-by-step explanation:
The 2 in () tells you what x is.
f(x)=2-3
=-1
g(x)=2+2
=4
(f+g)=
(-1)+4=3
i need the awnsers for questions 1-4 on “what happened to the parent function?”
Answer:
In all functions, a number was either added or subtracted from the total sum of y.
Step-by-step explanation:
can someone help with probability
Answer:
yes sure continue with questions
Answer:
1/2
Step-by-step explanation:
with one dice the probability is 1/6 as equal chances for each number from 1 to 6
with 3 dices it is 3 times more: 3*1/6= 1/2
Were the southern states justified to leave the USA?
Answer:
The south had no justified reason to secede from the union.
Step-by-step explanation:
The south had no justified reason to secede from the union. They were still bound to the constitution, had no legal right to secede, and broke numerous laws such as forming an illegal alliance and attacking the United States (at Ft. Sumter). The constitution was created as the basis of the United States government.
Find the area of a circle with the given equation.
(x-7)2+(y + 9)2 =137
Answer: 137π
The usual formula for a circle centered at (a,b), with radius r,
(x - a)² + (y - b)² = r²
The area of the circle is πr², so 137π
Animal A and Animal B each have 95% of their DNAin common. Animal A and Animal C each have 50% of their DNA in common. What does this suggest about the relationship of these animals? C is probably much more closely related to B than to A. A is probably much more closely related to B than to C. B is probably much more closely related to C than to A. A is probably much more closely related to C than to B.
Answer:
A is probably much more related to B than to C
6/7 ( 3/8 ÷1.5+2 1/5 ) plz help
Answer:
2.1
Step-by-step explanation:
6/7 ( 3/8 ÷ 1.5 + 2 1/5 )
Solve for brackets first.
6/7 ( 0.375/1.5 + 2.2 )
Divide the two terms in the brackets.
6/7 (0.25+2.2)
Add the two terms in the brackets.
6/7 (2.45)
Multiply the two terms.
= 2.1
Answer:
[tex]2\frac{1}{10}[/tex]
Step-by-step explanation:
Use BIDMAS
B = Brackets
I = Indices
D = Division
M = Multiplication
A = Addition
S = Subtraction
[tex]\frac{6}{7} * (\frac{3}{8} /\frac{15}{10} +2\frac{1}{5} )[/tex]
→ Work out the division sum inside of the brackets
[tex]\frac{3}{8} /\frac{15}{10} =\frac{3}{8} *\frac{10}{15} =\frac{30}{120} =\frac{1}{4}[/tex]
→ Write out new sum
[tex]\frac{6}{7} *(\frac{1}{4} +2\frac{1}{5} )[/tex]
→ Work out the sum of the addition inside the bracket
[tex]\frac{1}{4} +2\frac{1}{5} =\frac{1}{4} +\frac{11}{5} =\frac{5}{20} +\frac{44}{20 } =\frac{49}{20} =2\frac{9}{20}[/tex]
→ Write out new sum
[tex]\frac{6}{7} *2\frac{9}{20}[/tex]
→ Solve
[tex]\frac{6}{7} *2\frac{9}{20}=\frac{6}{7} *\frac{49}{20} =\frac{294}{140} =\frac{147}{70} = \frac{21}{10} =2\frac{1}{10}[/tex]
sarra binged watched 12 of the 15 episodes of " the dudes i dont dig"; what percent of the shows has she watched?
Answer:
Sarra watched 80% of the show.
Step-by-step explanation:
12÷15×100
Answer:
80%
Step-by-step explanation:
You have to take the total number of TV show episodes and divide it by the amount the person watched, in this case 15/12. Next, you have to multiply the answer you get by 100, in this case 0.8*100, this leads you to move the decimal point two places to the right giving you 80%.
Dr. Khan is combining a 20% acetic acid solution with a 60% acetic acid solution. She wants to obtain 10 liters of a 40% acetic acid solution, how many liters of the 20% acetic acid solution does Dr. Khan need to create the 40% acetic acid solution?
Answer:
Dr Khan will add 5 liters of 20% acetic acid solution.
Step-by-step explanation:
Dr Khan is combining two solutions of acetic acid with the given concentrations of 20% and 60% respectively.
Let the amount of 20% acetic acid, he added to get 10 liters of 40% solution = 'a' liters
Volume of 60% solution used will be = (10 - a) liters
Now the equation will be,
Amount of solution (1) × 20% + Amount of solution (2) × 60% = Amount of final solution × 40%
[tex]a\times \frac{20}{100}+(10-a)\times \frac{60}{100}=10\times \frac{40}{100}[/tex]
20a + 60(10 - a) = 400
20a + 600 - 60a = 400
600 - 40a = 400
40a = 600 - 400
a = [tex]\frac{200}{40}[/tex]
a = 5 liters
Therefore, Dr Khan will add 5 liters of acetic acid to get 40% acetic acid solution.
Solution:
Let the amount of 20% acetic acid, he added to get 10 liters of 40% solution = 'a' liters
Volume of 60% solution used will be = (10 - a) liters
Equation will be,
Amount of solution (1) × 20% + Amount of solution (2) × 60% = Amount of final solution × 40%
a*20/100+(10-a)*60/100=10*40/100
20a + 60(10 - a) = 400
20a + 600 - 60a = 400
600 - 40a = 400
40a = 600 - 400
a=200/40
a = 5 liters
Thus, Dr Khan need to create 5 liters of acetic acid to get 40% acetic acid solution.
Learn more :
https://brainly.com/question/24685832?referrer=searchResults
PLEASE HELP ME KIND SOUL! Look at the picture below to understand everything
Hey! How are you?
So the problem is below and I have found an answer online, BUT the issue I am having is this:
I do not think the given answer is the largest possibility. Since 6 is the largest number, can’t I just use that and get a sum of 509.04 > 368.24
Pretty please help me! I am begging you, I have lost all my brain cells, please clear VERy clear explanations needed!!!
Answer:
Yes, it is 368.24, because you cannot use a digit more than once.
Step-by-step explanation:
Dividing my dog’s age by 4 and adding 6 is the same as dividing my dog’s age by 8 and adding 8.
StartFraction x Over 4 EndFraction + 6 = StartFraction x Over 8 EndFraction + 8
How old is my dog?
years old
Answer:
16
Step-by-step explanation:
a = age
[tex] \frac{a}{4} + 6 = \frac{a}{8} + 8[/tex]you will multiply by 8 now [tex]2a + 48 = a + 64[/tex]now move a's with a's and the numbers that don't have a variable with each other[tex]2a - a = 64 - 48[/tex]now subtract[tex]a = 16[/tex]I hope it helps you!Answer:
16
Step-by-step explanation:
How would you explain function notation to a friend?
Many students seem puzzled by function notation well after it has been introduced, and ask “why can’t we just write
y = 3x instead of
f(x) = 3x ?”. To motivate the use of function notation and improve understanding, I advocate using multi-variable functions instead of single-variable functions in introducing this notation. My introduction usually proceeds something like this:
Step-by-step explanation:
1. How many solutions can a linear system of equations have?
a. Zero Solutions
b. One Solutions
c Infinite Number of Solutions
d. All of a, b, and c
Answer:
D. All of the AboveStep-by-step explanation:
Since a linear system might have 0, 1 , or many solutions, the correct answer is d.
I'm always happy to help :)