Answer:
Step-by-step explanation:
If you graph both the focus and the directrix you will see that the directrix is below the focus...12 units below to be exact. The focus is on the vertical line x = 4, so the vertex also has an x coordinate (which is actually h since h and k represent the vertex) of 4. The vertex is exactly halfway between the focus and the directrix, so that means that the vertex is at (4, 0). h = 4, k = 0. The standard form for this parabola (we know it opens upwards since the parabola ALWAYS wraps itself around the focus and is directed away from the directrix) is:
[tex](x-h)^2=4p(y-k)[/tex]
p is the number of units between the focus and the vertex, or the vertex and the directrix (which is the same number of units since the vertex is smack dab in the middle of them!). That means that p = 6. Filling in 6 for p, 4 for h, and 0 for k we have:
[tex](x-4)^2=4(6)(y-0)[/tex] and simplify to
[tex](x-4)^2=24y[/tex] which is the first choice you're given.
The equation that shows the parabola when parabola has the focus at (4, 6) and the directrix y = –6 should be considered as the (x – 4)2 = 24y.
What is a parabola?In terms of mathematics, a parabola represent the plane curve in which there is the mirror-symmetrical and should be made of U-shaped.
Since there has the focus at (4, 6) and the directrix y = –6
So the first equation should be considered.
Learn more about parabola here: https://brainly.com/question/8063993
4/5 times 1/5 PLZ ANSER I NEED HELP
Answer:
.16 or 4/25
Step-by-step explanation:
Answer:
4/25
Step-by-step explanation:
[tex]\frac{4}{5}[/tex]×[tex]\frac{1}{5}[/tex]
multiply tops together and denominators together and get [tex]\frac{4}{25}[/tex]
The product of a number and negative three is twenty-seven. Which of the following could represent this statement?
Answer:
sorryyyyyuuuuuuuuuuuuuuuuuuu
Answer:
-3n = 27
Step-by-step explanation:
kingston made a pot of 29 1/2c of gumbo soup. His family ate some of the gumbo for lunch. this changed the amount of the pot by -7 3/4c. then he gave some gumbo to his neighbors. This changed the amount in the pot by -6 1/2c. How many cups of gumbo are left in the pot?
please answer quickly!!!!!!!
Answer:
29 1/2-7 3/4 is 21.75
Then 21.75-1/2 is 21.25
Step-by-step explanation:
There is [tex]15\frac{1}{4}[/tex]c of gumbo soup left after Kingston's family ate and he shared some with his neighbor.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Kingston made a pot of [tex]29\frac{1}{2}[/tex] of gumbo soup.
His family ate some of the gumbo for lunch. this changed the amount of the pot by [tex]-7\frac{3}{4}[/tex].
So, Reaming gumbo soup is ([tex]29\frac{1}{2} - 7\frac{3}{4}[/tex]).
= (59/2 - 31/4).
= (118 - 31)/4.
= 87/4c of gumbo soup.
Then he gave some gumbo to his neighbors. This changed the amount in the pot by -6 1/2c.
= (87/4 - 13/2)c.
= (87 - 26)/4c.
= 61/4.
= [tex]15\frac{1}{4}[/tex]c of gumbo soup.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2
prove that cos² (45+A) + (45-A)=1
Answer:
Cos²(45°—A) + cos²(45°+A)
= [2 cos²(45°—A) + 2 cos²(45°+A)] /2
= [{2 cos²(45°—A)—1} + {2 cos²(45°+A)—1} + 2] /2
= [cos2(45°—A)+cos2(45°+A)+2]/2
= [cos(90°—2A)+cos(90°+2A)+2]/2
= (sin2A—sin2A+2)/2
= 2/2
= 1
simplify 7 sqare root 3 takeaway 2 sqare root 3 add sqaure root 3 takeaway 3 sqaure root 3
Answer:
tel:+18446450594
Step-by-step explanation:
Which linear inequality is represented by the graph?
Answer:
C
Step-by-step explanation:
You are right
Please solve this question.
Answer:
An equilateral triangle is formed.
Step-by-step explanation:
Since you construct two lines of 60° at points P and Q, the two ends of the line, you construct a triangle with two angles as 60°.
Hence, with the knowledge that the angle sum of a triangle is 180°, we can find that the remaining angle is [tex](180\textdegree - 60\textdegree - 60\textdegree)[/tex] = [tex]60\textdegree[/tex].
Therefore, a triangle with all angles at 60° is an equilateral triangle.
Hope this helped!
1. The waiting times (in minutes) of customers at a certain bank is given below. 5.5 6.5 6.7 7.2 6.4 7.3 (a) Construct a 95% confidence interval for the mean waiting time of all customers at the bank. (b) Based on the confidence interval in (a), will the bank manager be satisfied if she wishes the average waiting time in her bank to be less than 7 minutes
Answer:
The 95% confidence interval is
[tex] 5.92 < \mu < 7.284 [/tex]
Step-by-step explanation:
From the question we are told that
The data is 6.5 6.7 7.2 6.4 7.3
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{\sum x }{n}[/tex]
=> [tex]\= x = \frac{ 5.5 + 6.5 + \cdot 7.3 }{ 6}[/tex]
=> [tex]\= x = 6.6[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{ \frac{ \sum (x_i - \= x )^2 }{ n-1} }[/tex]
=> [tex]\sigma = \sqrt{ \frac{ (5.5 - 6.6 )^2 +(6.5 - 6.6 )^2 + \cdot + (7.3 - 6.6 )^2 }{ 6-1} }[/tex]
=> [tex]\sigma = 0.6512[/tex]
Gnerally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 6 -1[/tex]
=> [tex]df = 5[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]t_{\frac{\alpha }{2} , 5 } = 2.571 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = t_{\frac{\alpha }{2}, 5 } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.571 * \frac{0.6512}{\sqrt{6} }[/tex]
=> [tex]E = 0.6835 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \= x +E[/tex]
=> [tex]6.6 - 0.6835 < \mu < 6.6 + 0.6835[/tex]
=> [tex] 5.92 < \mu < 7.284 [/tex]
Pls help I’m so confused! What would be the last step?
Answer:
SSS(Side,Side,Side)
Step-by-step explanation:
In the previous reasons you have proven that all of the sides of each triangle are equal to the corresponding side. You can use SSS to prove that the two triangles are congruent.
If s varies directly as t2, and s = 294 when t = 7, find s when t is 9
Answer:
If you need to find s when t is 9, its simple.
Step-by-step explanation:
All ypu need to do is see what t is
t equals 2
you want to find what s is when t is 9
when t is 2, s is 294
when t is 9, all you have to do is find what times 2 equals 9, then times that number by 294
BRAINLIST HELP TIMED
Answer:
its the second one
Step-by-step explanation:
u just mulitply the terms together and add the exponents
Please helppp I suck at math
Many firms use on the job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performances of one of the trainees on the final test that was given to all trainees. The mean of the test score is 78. Additional information indicated that the median of the test scores was 85. What type of distribution most likely describes the shape of the test scores
Answer:
Skewed to the left
Step-by-step explanation:
In pearson mode skewdness, the mean, mode and median are used to determine if we have a positive or negative skewed distribution.
Now, If the mean is greater than the median, it means that the distribution is positively skewed and therefore skewed to the right. However, If the mean is less than the median, it means that the distribution is negatively skewed and therefore skewed to the left.
In our question, the median is 85 and mean is 78. Thus, it means median is greater than the mean and as such, the distribution isnegatively skewed and therefore skewed to the left.
What is the measure of PLEASE HELP?!
Mr. Heath organizes a six-game tournament where players will
• earn 2.2 points for every game won (W),
• earn 1/4 point for any game ending in a tie (T), and
• lose 3 points for every game lost (L).
Tally a score for an imaginary player.
Make sure the player plays all six games and has at least one win, one loss, and one tie.
Write and solve an equation to find the player’s total score.
9514 1404 393
Answer:
(W, T, L, S) = (3, 2, 1, 4.1)
Step-by-step explanation:
For some number of wins (W), ties (T), and losses (L), the player's score will be ...
score = 2.2W +0.25T -3L
For 3 wins, 2 ties, and 1 loss, the player's score is ...
2.2(3) +0.25(2) -3(1) = 6.6 +0.5 -3 = 4.1
Use a model to divide. 1/4 divided by 3.
Possible answers are,
3/6
9
1/12
1/6
9 is the answer I hope this helped
Please Help!!! :( I don't understand
Answer:
Step-by-step explanation:
You would do
4×18.5 =74
2×6.75 =13.5
14×7/8 =12.25
Add all that up and it equals 99.75lbs/pounds
which one of these
do you know which one of these will help me like 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 6 * 3 6+6+
3*66+3
Answer:
447
Step-by-step explanation:
Answer:
447
Step-by-step explanation:
50 POINTS
What is the area of a rectangle with a length of 8.96 in and a length of 7.7?
a 68.992 in3
b 68.992 in2
Answer:
thats only 25
Step-by-step explanation:
To earn a prize sally had to sell at least 9 out of the 20 candy bars for the band fundraiser what percentage of the candy bars did she need to sell ?
Answer:
45%
trust me i took this test before
Step-by-step explanation:
3. Determine whether the set of numbers can be the measures of the sides of a triangle. If so, classify the triangle as acute, obtuse, or right. 16, 30, 33
Answer:
all of them are acute
.......
Answer:
yes. it will be an acute.
An infinite solution means the solutions for the algebraic equation are endless
Answer:
Correct
Step-by-step explanation:
A farmer divided his piece of land into 2 equivalent groups and the quality of the soil is the same in both of these groups. He used fertilizers for the first group of land. He did not use fertilizers for the second group of land. At the end of the season, he measured the yield of the crops in these 2 groups. Is the study observational or experimental
Answer:
Observational would mean that he (farmer) has no direct impact or change on the statistical study.Experiment would mean that he imposed a certain treatment up a group in this case it would be the land.Hence we can determine that the the study was an experimental one.Mr. Dey took out Rs.5000 from his bank. He took 40 notes of 50 Rupees each and the remaining amount in 20 Rupees notes. How many 20 Rupees notes did he take? *
Answer:
150
Step-by-step explanation:
Start with Rs.5000.
40 notes of 50 Rupees each = 40 * Rs.50 = Rs.2000
Rs.5000 - Rs.2000 = Rs.3000
He took Rs.3000 in 20 Rupees notes.
Rs.3000/Rs.20 = 150
Answer: He took 150 20-Rupee notes
Answer:
150
Step-by-step explanation:
We know that he took out Rs.5000 from the bank and that he took 40 of the 50 Rupees notes. We have to subtract to find the amount he took in 20 Rupees notes and then divide by 20 to find the number. 40*50 = 2000 and 5000 - 2000 = 3000. After that, 3000/20 = 150, so that means that Mr. Dey took out 150 notes of 20 rupees.
Solve y=3x-4 and y=2/5x+ 9
using systems of linear eqautions
Answer:
(5 , 11)
Step-by-step explanation:
[tex]Equation\ 1\\\\\y=3x-4\\\\Equation\ 2\\\\\y=\frac{2}{5}x+9[/tex]
There are three ways to solve the systems of linear equations
1) Elimination method - where we add/subtract the equations to eliminate the variable
2) Substitution method - where we substitute one variable in the form of another variable
3) Graphing method - where we sketch the graphs of both the equations and if they intersect that point would be the solution and if they don't there is no solution
We use the second method the Substitution method which is the easiest in my opinion.
Here we got two equations so lets just substitute equation 1 with equation 2 meaning insert equation 1 into equation 2 like here:
[tex]3x-4=\frac{2}{5}x+9[/tex]
as you can see here we eliminated the variable y by substituting y in terms of x.
Now we just solve the equation algebraically
[tex]3x-4=\frac{2}{5}x+9\\3x-\frac{2}{5}x=9+4\\\frac{15x-2x}{5} =13\\\\\frac{13x}{5}=13\\\\13x=65\\x=65/13\\x=5\\[/tex]
The value of x is 5 now to find the value of y we insert the value of x in any two equations lets insert the value of x into equation 1
[tex]y=3x-4\\y=3(5)-4\\y=15-4\\y=11[/tex]
so the solution of the system of linear equations is (5 , 11)
a boy has 10 cookies. and his brother has 2.5 times as many. how many does the brother have
Answer:
25
Step-by-step explanation:
Solve the proportion.
x+1/×-1 = 14/20
A: - 3/17
B: 10/7
C: 7/10
D: -17/3
14x+14=20x-20
-6x=-34
x=34/6=-17/3
D: -17/3
Answer:
D
Step-by-step explanation:
x+1/x-1=14/20
so 20(x+1)=14(x-1)
20x+20=14x-14
20x-14x= -14-20
6x=-34
so x=-17/3
Mrs. Browning bought ice cream treats for 6 children. Each child picked either a sundae or a milkshake. The sundaes cost $2 each and the milkshakes cost $5 each. If Mrs. Browning spent a total of $21, how many of each type of treat did she buy?
Please help me please !!!
Answer:
3 milkshakes and 3 sundaes
Step-by-step explanation:
3 * 5 = $15 + 3 * 2 = $21
What is the value of x? enter your answer in the box.
Answer:
X = 20
Step-by-step explanation:
3x + 50 = 6x -10
3x - 6x = -10 - 50
-3x = -60
x = -60/-3
x = 20
Answer:
x = 20
Step-by-step explanation:
Vertically opposite angles are congruent.
6x - 10 = 3x + 50
6x = 3x + 50 + 10
6x = 3x + 60
6x - 3x = 60
3x = 60
x = 60/3
x = 20
The happy apple farm has 560 apple trees. Each apple tree has 169 apples. How many apples are on all the trees together?
Answer:94,
Step-by-step explanation: