PLEASE HELP!!!!!
Which of the following is one of the standard forms of a hyperbola
centered at (h,k)?
Given:
Center of hyperbola is at (h,k).
To find:
The standard forms of a hyperbola.
Solution:
We know that, standard forms of a hyperbola are
1. For Horizontal hyperbola:
[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]
2. For Vertical hyperbola:
[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]
where, (h,k) is center of the hyperbola.
Therefore, the correct option is B.
Josh is ordering an ice cream dessert. He must order a size, a flavor of ice cream, and a topping. There are 3 sizes, 2 flavors, and 2 toppings to choose
from. How many different ice cream desserts could he order?
Step-by-step explanation:
So if there are 3 sizes, 2 flavors and 2 Toppings to choose from, then there are
3 * 2 * 2 possible combinations
For example:
S = 3 sizes
F = 2 flavours
T = 2 toppings
Then there are 3 * 2 * 2 = 12 possible combinations
What does the word slope mean?
Find the value of 0 and round to the nearest whole degree
Answer:
57°
Step-by-step explanation:
[tex] \theta = {sin}^{ - 1} \bigg( \frac{36}{43} \bigg) \\ \\ \theta = 56.846591584 \degree\\ \\ \theta \approx 57 \degree\\ \\ [/tex]
Suppose we want to test to see if a roulette wheel is balanced. The wheel is spun 100 time resulting in 58 red outcomes. Is this evidence that the roulette wheel is out of balance
Solution :
Here, [tex]$ \hat p$[/tex] = sample proportion of red outcomes
[tex]$ \hat p =\frac{58}{100}$[/tex]
[tex]$ \hat p$[/tex] = 0.58
So we have to test,
[tex]$H_0 : p = 0.5$[/tex]
V/S [tex]$H_a: p \neq 0.5 $[/tex]
The test statistic is
[tex]$z = \frac{\hat p - p}{\sqrt{\frac{p(1-p)}{n}}}$[/tex]
[tex]$z = \frac{0.58 - 0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}$[/tex]
[tex]$=\frac{0.08}{0.05}$[/tex]
= 1.600
P value using the z table is 0.110
So P value greater than 0.05
Therefore, there is no evidence that roulette wheel is out of balance.
which values for x and y satisfy the following equations
y=x-1 and 2x + y=8
Rearrange the following and ad .005, 2,002.181, 795.41, 14.0,184
Answer:
1 2 3 4
Step-by-step explanation:
Answer:
1234
Step-by-step explanation:
The measure of <1
I don’t understand how to solve
Answer:
<1=55°
Step-by-step explanation:
180-125=55
On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.
Let I = the event that a player in an infielder.
Let O = the event that a player is an outfielder.
Let H = the event that a player is a great hitter.
Which is the correct symbol for the probability that a player is an infielder or is not a great hitter?
a. P(I|¯H)
b. P(¯H|I).
c. P(I or ¯H).
d. P(I and ¯H).
Answer: c. [tex]P(I \text{ or }\overline{H})[/tex]
Step-by-step explanation:
Notation to show "not an event E" : [tex]\overline{E}[/tex]
Given: I = the event that a player in an infielder.
H = the event that a player is a great hitter.
= the event that a player is not a great hitter.
The correct symbol for the probability that a player is an infielder or is not a great hitter : [tex]P(I \text{ or }\overline{H})[/tex]
hence, the correct option is c. [tex]P(I \text{ or }\overline{H})[/tex]
For race Martha ran 1 /9 of a mile and then swam 4/9 of a mile. What was the total distance of the race?
LEO has $30. He splits it with his sister in the ratio 3:2. How much money does leo have left?
Answer:
18
Step-by-step explanation:
How? Just how I'm horrible at math
Answer:
c)[tex] \frac{x + 2}{x - 3} . \frac{4}{x + 2} [/tex]Select the graph that correctly represents ƒ(x) = –2(x + 4)2 – 1.
The graph that correctly represents f(x) = –2(x + 4)² is graph (B).
What is a graph?A graph is a diagram that depicts the connections between two or more objects. A pie chart is a type of graph. In discrete mathematics, a graph is made up of vertices—a collection of points—and edges—the lines connecting those vertices. In addition to connected and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs, there are many other types of graphs.So, graph of: f(x) = –2(x + 4)²
Then,
f(x) = -2(x + 4)² f(x) = (-2x - 8)²Now, plot (-2x - 8)² on the graph.
(Refer to the graph attached below)
Therefore, the graph that correctly represents f(x) = –2(x + 4)² is graph (B).
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Which of these expressions is equivalent to?
Number 4
expand and simplify x(x-3)(x+5)
Answer:
x³ + 2x² - 15x
General Formulas and Concepts:
Algebra I
Expand by FOIL (First Outside Inside Last)Combining Like TermsStep-by-step explanation:
Step 1: Define
x(x - 3)(x + 5)
Step 2: Expand
Distribute x: (x² - 3x)(x + 5)FOIL: x³ + 5x² - 3x² - 15xCombine like terms: x³ + 2x² - 15xHELP I DONT UNDERSTAND UGHHH
Step-by-step explanation:
So what you need to do is is how fast they traveled every ten miles once you do that take how fast they traveled every ten miles and multiply it by 9.
So it seems to me that 1 day for most people they walked 10 miles. So if it takes 7 days for them to get there you need to do 90 divided by 7 which will get you your answer.
I hope this helped you understand better!
Answer: 11 3/7 miles per day, and it will take them 7.875 days to go 90 miles
Question 12(Multiple Choice Worth 5 points) (02.05 MC) Triangle ABC is transformed to obtain triangle A′B′C′: A coordinate grid is labeled from negative 12 to 0 to 12 on both x- and y-axes at increments of 1. Triangle ABC has A at ordered pair 2, 2, B at 2, 10, C at 8, 12. Triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 1,B prime at negative 1, negative 5, C prime at negative 4, negative 6. Which statement is correct for Triangle ABC. and Triangle A prime B prime C prime.? Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 2. and then rotating it about the origin by 180 degrees Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 90 degrees
Answer:
Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 2. and then rotating it about the origin by 180 degrees
hope it helps!
Step-by-step explanation:
Triangle ABC is similar to triangle A'B'C' because Triangle A'B'C' is obtained by dilating Triangle ABC by a scale factor of 1 over 3 and then rotating it about the origin by 180 degrees.
PLease Help ASAP 6(9-3)/3
Answer:
12
Step-by-step explanation:
hope this helps
Answer:
12
Step-by-step explanation:
It's right. I checked a lot.
A ladder that has a length of 13 m leans against a wall with the base of the ladder 5 m away from the bottom of the wall. Use this information to find how high above the ground the ladder meets the wall
Answer:
did you find the answer ??
The required height of the wall where the ladder meets the wall is 12 m.
Given that,
A ladder that has a length of 13 m leans against a wall with the base of the ladder 5 m away from the bottom of the wall. Use this information to find how high above the ground the ladder meets the wall is to be determined.
In a right-angled triangle, its side, such as hypotenuse, perpendicular and base is Pythagorean triplets.
Here,
Let the height be h,
Applying Pythagoras' theorem,
h = √[13²-5²]
h = √169-25
h = √144
h = 12
Thus, the required height of the wall where the ladder meets the wall is 12 m.
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Select the expressions that are equivalent to 8(6m).
[tex]\textsf{Hey there!}[/tex]
[tex]\text{Select the expressions that are equicalent to 8(6m)}\downarrow[/tex]
[tex]\text{We DON'T have any like terms so we CAN'T pair them off!}[/tex]
[tex]\mathsf{8(6m) \rightarrow 8 \times 6 \times \ m}\\\mathsf{8\times 6 = 48}}\\\mathsf{48\times\ m = 48m}\\\\\\\boxed{\boxed{\mathsf{Answer: \bf{48m}}}}\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
Each pair of figures is similar. Find the missing length. Round to the nearest tenth where necessary.
Answer:
x=5 and n=36
Step-by-step explanation:
For the first question: 32/8 = 4/1
4/1 = 20/x
4x = 20
x = 5
For the second question: 63/81 = 21/27
21/27 = 28/x
21x = 756
x = 36
7 + k/4= 9
what does k=?
Answer: k=8
Step-by-step explanation: So your equation is 7+k/4=9. Remember, the goal of this problem is to isolate the k. The first thing you should do is subtract 7 from both sides. You should get k/4=2. Then, multiply both sides by 4 to isolate the k. You should get k=8. Hope this helps!
There are 3 times as many children as adults at the zoo. Complete the table with possible combinations of adults and children and write an equation that represents all the possible combinations
Answer:
Step-by-step explanation:
Adults = x, Children =y
3y=x
DUE AT 11:59 PLEASE ANSWER NOW
Answer:
g = 6
Step-by-step explanation:
5.2g + 10 = 2.2g + 28 (Given)
3g + 10 = 28 (Subtracted 2.2g on both sides)
3g = 18 (Subtracted 10 on both sides)
g = 6 (Divided 3 on both sides)
To check to make sure you are correct, simply substitute your answer for g:
5.2(6) + 10 = 2.2(6) + 28
31.2 + 10 = 13.2 + 28
41.2 = 41.2
You'll know you're correct if they both equal the same. In this case, the solution works.
Which equation has infinitely many solutions?
A.
-5(x + 2) = -4x- 12 - X + 2
B.
3x- 4 + 2x = 5(x-4)
c. 5(x + 7) = -5(x-7)
D
6x+ 2 - X=-2x - 2 + 7x
Answer:
A. -5(x + 2) = -4x - 12 - x + 2
Step-by-step explanation:
The equation that has infinitely many solutions will be the same on both sides.
A is the correct answer.
Simplify the equation by distributing -5 and adding like terms:
-5(x + 2) = -4x - 12 - x + 2
-5x - 10 = -4x - 12 - x + 2
-5x - 10 = -5x - 10
So, this equation is the same on both sides and will have infinitely many solutions.
A is the correct answer.
Answer:
A has infinitely many solutions
Step-by-step explanation:
Once you distribute A you get
-5x-10= -4x-12-x+2
Once you simplfy all that you get
-5x-10= -5x-10
You can check this by putting in a random number and both sides will be equal.
Solve the inequality –1 > –2(x – 4) – 5(4x – 7).
Answer:
[tex]x > 2[/tex]
Step-by-step explanation:
[tex]–1 > –2(x – 4) – 5(4x – 7)[/tex]
[tex]–1 > –2x + 8 –20x + 35[/tex]
[tex]–1 > - 22x + 43[/tex]
[tex] - 1 - 43 > - 22x[/tex]
[tex] - 44 > - 22x[/tex]
[tex] \frac{ - 44}{ - 22} < \frac{ - 22x}{ - 22} [/tex]
[tex]2 < x[/tex]
[tex]x > 2[/tex]
PLEASE HELP QUICK
Find the length of each intercepted arc given the angle measure and radius. Give your answers in terms of pi and round to the nearest tenth place.
1. 3pi/4 ; r= 10mm
2. 8pi/7 ; r= 17.5yds
Answer:
r= 18
Step-by-step explanation:
factorise this equation 12ax+8bx
Answer:
4x(3a+2b)
Step-by-step explanation:
Answer:
4x(3a+2b)
Step-by-step explanation:
Given: 12x+8bx
Factor out x: x(12a+8b)
Factor out 4: 4x(3a+2b)
The number of the students the bus holds, s, is less than 40
Answer:
yes
Step-by-step explanation:
The required expression represents the number of students on the bus would be S < 40.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
According to the question,
The number of students the bus holds, s which is less than 40,
So
S is less than 40
S < 40
[in math we have inequality represent the less than relation or greater than the relation with symbols "<" and ">"]
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Al’s dog breathed 130 times in 5 minutes. At this rate, how many breaths should his dog take in 60 minutes?
Answer:
1560 breaths
Step-by-step explanation:
130/5=26
26*60
1560 breaths