Answer:
[tex]x^2 = -16y[/tex]
Step-by-step explanation:
Given
[tex]Vertex = (0,0)\\Focus = (0,-4)[/tex]
Required
Equation of the parabola (in standard form)
The standard form of a parabola is [tex](x - h)^2 = 4p (y - k),[/tex]
Such that
Vertex = (h,k)
Focus = (h, k + p)
For the vertex
This implies that (h,k) = (0,0)
h = 0 and k = 0
For the focus
This implies that (h, k + p) = (0, -4)
[tex]h = 0\\k + p = -4[/tex]
Recall that [tex]k = 0;[/tex]
Hence, [tex]0 + p = -4[/tex]
[tex]p = -4[/tex]
Substitute [tex]p = -4[/tex], [tex]h = 0\ and\ k = 0[/tex] in the given formula
[tex](x - h)^2 = 4p (y - k),[/tex] becomes
[tex](x - 0)^2 = 4 * -4 (y - 0),[/tex]
[tex](x)^2 = 4 * -4 (y),[/tex]
[tex]x^2 = -16 (y),[/tex]
[tex]x^2 = -16y[/tex]
Hence,, the standard form is [tex]x^2 = -16y[/tex]
Which table represents a direct variation function?
Find the size of the final unknown exterior angle in a polygon whose other exterior angles are:
63', 64°, 82°, 49° and 58°
Answer: 44°
Step-by-step explanation:
The sum of the exterior angles of a polygon is 360°
If your polygon has six sides, the final angle will be:
= 360 - (63 + 64 + 82 + 49 + 58)
= 360 - 316
= 44°
What is a common reason for filing a 1040X?
A.
not using a tax preparer to file the initial return
B.
leaving off the cents of a dollar value
C.
forgetting to include miscellaneous income earned
D.
signing the form in blue ink
Answer:
c forgetting income
Step-by-step explanation:
qweddcs
(35–34)(33+32) is divisible by 24;
problem decoded dude
answer is in attachment
Calculate the perimeter of this figure
to the nearest tenth.
P = [? ] ft
Answer: 40.9
Step-by-step explanation:
help me with right answer plz
Answer:
13.5
Step-by-step explanation:
area: 1/2*[x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]
WILL MARK AS BRAINLIEST!! PLEASE HURRY!!! Solve for x: 1 over 4 (2x − 14) = 4. (1 point) 15 15 over 2 9 11
Answer:
Step-by-step explanation:
k den
Answer:
1 / 4 (2x − 14) = 4.
Multiply through by 4(2x - 14)
You'll get
1 = 16(2x - 14)
1 = 32x - 224
Group like terms
224 + 1 = 32x
225 = 32x
Divide both sides by 32
x = 225/ 32
Hope this helps
Factor the quadratic expression: x^2 + 25
What is the point-slope form of a line with slope -3 that contains the point (10,-1)?
A. y + 1 = 3(x+10)
B. y + 1 = 3(x-10)
C. y + 1 =-3(x-10)
D. x + 1 = -3(y -10)
Answer:
the point slope form is
y + 1= -3(x - 10)
solution is c
Find the difference.
(4x2 - 6x+8) - (3x2 - 6x + 2)
Answer:
x² + 6
Step-by-step explanation:
(4x² -6x + 8 )- ( 3x² -6x +2 )
4x² -6x +8 - 3x² + 6x -2
now group like terms
4x² -3x² -6x +6x +8-2
⇒ x² +6
HELP ME PLEASE REALLY IMPORTANT OR ILL GET IN TROUBLE!! WILL MARK AS BRAINLEST IF YOU GET IT CORRECT!!
Answer: C, It stays the same.
Step-by-step explanation: If you simplify the ratio (the fraction) by canceling the t's, you get 2/1 or 2:1. This means that no matter the value of the variable t, the value of the expression will stay the same.
how does the fact that a parallelogram has rotational symmetry demonstrates that opposite side of a parallelogram are congruent ?
Answer:
See below.
Step-by-step explanation:
It is known that a parallelogram has rotational symmetry, rotated 180 degrees about it's center point. Now by definition a parallelogram is a quadrilateral with two pairs of parallel sides, hence it's name. If you were to take a look at the attachment below, you might see the connection.
Rotational Symmetry will make it so that side AB corresponds to CD, respectively AD and CB. The sides will coincide with one another after a 180 degree rotation, so that AB = CD, and AD = CB. Hence, in the same parallelogram, opposite sides are congruent.
Proved!
the Scientific notation 2 times 10^10-2 has what value. 0.02 0.002 0.2 0.0002
Answer:
.02
Step-by-step explanation:
Answer:
Step-by-step explanation:
I'm pretty sure your equation looks like this:
[tex]2*10x^{10-2}[/tex]
Lets break it down,
First i will subtract the [tex]^{10-2}[/tex] in the equation
=8
new equation:
[tex]2* 10^{8}[/tex]
=200,000,000
What is the first step in simplifying the solution: log2 ^32 = x
Rewrite the equation as 2^x = 32
Find the square root of 32
Rewrite the equation as 2^32 = x
Find 32^2
Answer:
x=5
Step-by-step explanation:
log2^32=x
log2^2^5=x
5 log 2^2=x
5(1)=x
x=5
4.3cm round to 3 decimal places?
Answer:
0.4
Step-by-step explanation:
A social scientist surveyed a random sample of male musicians at a university about their practice habits. The graph below displays the amount of time typically spent practicing their instrument daily.
Which of the following inferences can be made from the data?
Answer:
C
Step-by-step explanation:
male musicians practice an avg 2/hrs a day
The inferences can be made from the data on average, male musicians practice for two hours per day. Then the correct option is C.
What is a histogram?A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.
A social scientist surveyed a random sample of male musicians at a university about their practice habits.
The graph below displays the amount of time typically spent practicing their instrument daily.
From the graph, we can conclude that on average, male musicians practice for two hours per day.
Then the correct option is C.
More about the histogram link is given below.
https://brainly.com/question/16819077
#SPJ2
Simplify. ( w^2/-3u^4)^2. Write your answer without parentheses.
Answer:
w^4 / (9u^8)
Step-by-step explanation:
( w^2/-3u^4)^2
We know that ( a/b) ^c = a^c / b^c
( w^2) ^2/ (-3u^4)^2
We know that a^b^c = a^(b*c)
w^(2*2)/ (-3u^4)^2
We know ( ab) ^c = a^c * b^c
w^4/ (( -3)^2 u^4^2)
w^4/(9 u^(4*2))
w^4 / (9u^8)
Which of the following pairs of functions are inverses of each other? A)f(x)=2x-9 and g(x)=(x+9)/(2) B)f(x)=(2)/(x)-6 and g(x)=(x+6)/(2) C)f(x)=(x)/(3)+4 and g(x)=3x-4 D)(x)=5+\root(3)(x) and g(x)=5-x^(3)
Answer:
A)f(x)=2x-9 and g(x)=(x+9)/(2)
Step-by-step explanation:
f(g(x)) =x for inverses
A)f(x)=2x-9 and g(x)=(x+9)/(2)
2(x+9)/2) -9 = Canceling the 2 x+9 -9 = x inverse
B)f(x)=(2)/(x)-6 and g(x)=(x+6)/(2)
2/(x+6)/2 ) -6 =4/(x+6) - 6 This will not give me x
C)f(x)=(x)/(3)+4 and g(x)=3x-4
(3x+4)/3 -4 = x + 4/3 -4 This will not give me x
D)(x)=5+\root(3)(x) and g(x)=5-x^(3)
5 + cuberoot ( 5-x^3) This will not give me x back
Answer:
2x-9 is the inverse of x+9/2
Step-by-step explanation:
Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 and standard deviation 100. Jessie scored 30 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 17 and standard deviation 5. Who performed better on the standardized exams and why? Reagan scored higher than Jessie. Reagan's score was 1140, which is greater than Jessie's score of 30. Reagan scored higher than Jessie. Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean, but closer to the mean than Jessie's standardized score of 2.6 standard deviations above the mean. Reagan scored higher than Jessie. Reagan's score was 140 points above the mean of 1000, and Jessie's was 13 points above the mean of 17. Jessie scored higher than Reagan. Jessie's standardized score was 2.6, which is 2.6 standard deviations above the mean and Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean. Jessie scored higher than Reagan. Jessie is only 6 points from the top score of 36 on the ACT, and Reagan is 460 points from the top score of 1600 on the SAT.
Answer:
Jessie scored higher than Reagan.
Step-by-step explanation:
We are given that Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 and standard deviation 100.
Jessie scored 30 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 17 and standard deviation 5.
For finding who performed better on the standardized exams, we have to calculate the z-scores for both people.
1. Finding z-score for Reagan;
Let X = distribution of SAT scores
SO, X ~ Normal([tex]\mu=1000, \sigma^{2}=100^{2}[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean = 1000
[tex]\sigma[/tex] = standard deviation = 100
Now, Reagan scored 1140 on the SAT, that is;
z-score = [tex]\frac{1140-1000}{100}[/tex] = 1.4
2. Finding z-score for Jessie;
Let X = distribution of ACT scores
SO, X ~ Normal([tex]\mu=17, \sigma^{2}=5^{2}[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean = 17
[tex]\sigma[/tex] = standard deviation = 5
Now, Jessie scored 30 on the ACT, that is;
z-score = [tex]\frac{30-17}{5}[/tex] = 2.6
This means that Jessie scored higher than Reagan because Jessie's standardized score was 2.6, which is 2.6 standard deviations above the mean and Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean.
I’m timed plz answer!!! Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0. x y squared StartRoot 8 x cubed EndRoot 2 x cubed y cubed StartRoot x y squared EndRoot 2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot 4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
Answer:
C
Step-by-step explanation:
bc i said so i think
Answer:
C
Step-by-step explanation:
C
If Shane weighs 120 pounds and Johnny weighs 150 pounds.If Shanie gains 60 pounds will Shanie and Johnny be the same weight.
Answer:
shane is 120 pounds and johnny is 150 pounds
Step-by-step explanation:
shane 120 and johnny gains weight 60 pounds so 120 plus 60 that is both of the together is 180 hope this helps you i think they maybe be the same weight because together they are more
Answer:
No, Shane will be heavier
Step-by-step explanation:
120 > 150
120 + 60= 180
180 > 150
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
2x + 3y = 6
- 4x + 3y = 12
Answer:
D. [tex]x=-1, y=2\frac{2}{3}[/tex]
Step-by-step explanation:
Solving for x:
2x+3y=6
Subtract 3y from both sides
2x= -3y+6
Subtract 6 from both sides
2x-6= -3y
-4x+3y=12
Subtract 3y from both sides
-4x= -3y+12
Subtract 12 from both sides
-4x-12= -3y
Combine equations:
-4x-12=2x-6
Add 4x to both sides
-12=6x-6
Add 6 to both sides
-6=6x
6x= -6
Divide both sides by 6
x= -1
Solving for y:
2x+3y=6
Subtract 3y from both sides
2x= -3y+6
-3y+6=2x
Multiply both sides by -1
3y-6= -2x
Multiply both sides by 2
6y-12= -4x
-4x+3y=12
Subtract 3y from both sides
-4x= -3y+12
-3y+12= -4x
Combine equations:
6y-12= -3y+12
Add 3y to both sides
9y-12=12
Add 12 to both sides
9y=24
Divide both sides by 9
y= [tex]2\frac{2}{3}[/tex]
Answer:
x=−1,y=2
3
2
Step-by-step explanation:
x=-1,y=2 2/3
2x − 5y = 16
3x + 2y = 5
can you also explain how you did it. Thanks :)
Answer:
x=3
y=-2
Step-by-step explanation:
2x - 5y = 16
3x + 2y = 5
Solve for x in the first equation.
2x - 5y = 16
2x = 16 + 5y
x = (16 + 5y)/2
x = 8 + 5/2y
Put x as 8 + 5/2y in the second equation and solve for y.
3(8+5/2y) + 2y = 5
24+15/2y + 2y = 5
24 + 19/2y = 5
19/2y = 5-24
19/2y = -19
y = -2
Put y as -2 in the first equation and solve for x.
2x - 5(-2) = 16
2x +10 = 16
2x = 16-10
2x = 6
x = 3
Answer:
Step-by-step explanation:
Which elements in the same below are integers? -3,3.7,9,-7.34,2.83,5,56/7,-1
Answer:
Integers -3, 9, 5, 56/7, -1
Step-by-step explanation:
Integers are whole numbers that can be positive or negative. They do not have decimals.
4.(06.02 MC)
Write an equation of a line that passes through the point (3, 2) and is parallel to the line y = 3x - 4. (5 po
y = 3x + 7
y = 3x - 7
y =
x + 2
O y = fx-2
Answer:
y = 3x-7
Step-by-step explanation:
Lines that are parallel have the same slopes.
y = 3x-4 ---> y=mx+b (slope = m=3)
point-slope formula for a line: y - y1 = m(x-x1)
slope=m=3
(3,2)----> (x1,y1)
y - 2 = 3(x-3)
y - 2 = 3x-9
y = 3x-7
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is
designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5.
Assume that the groups consist of 16 couples. Complete parts (a) through (c) below.
a. Find the mean and the standard deviation for the numbers of girls in groups of 16 births.
The value of the mean is u =
(Type an integer or a decimal. Do not round.)
Answer:
The found values are:
μ = 8
σ = 2
Step-by-step explanation:
Following data is given in the question:
p = 0.5
n = 16
Consider that it follows binomial distribution:
For binomial distribution, the mean is the product or probability 'p' and and the sample size 'n' :
μ = p · n
μ = 0.5 · 16
μ = 8
For binomial distribution, the standard deviation is the square root of product of sample size 'n' and the probabilities 'p' and 'q'.
σ = √(n·p·q)
where q = 1 - p = 1 - 0.5 = 0.5
σ = √(16 · 0.5 · 0.5)
σ = √4
σ = 2
con
Simplify: -165 - 1703
Answer:
[tex]-1868[/tex]
Step-by-step explanation:
[tex]-165 - 1703[/tex]
Subtract the numbers.
[tex]=-1868[/tex]
Answer:
-1868 is the simplified polynomial
Step-by-step explanation:
-165 -1703
= -165 + -1703
= -(165+1703)
= -(1868)
Penny earns $580 more than half of Karen´s salary. If p represents Penny´s salary, write an expression that represents the amount of money Karen earns in relation to Penny.
Answer:
[tex]\frac{p}{2} + $580[/tex]
Step-by-step explanation:
p = Penny's salary
Karen's salary = $580 more than half of p
We can use the fraction [tex]\frac{p}{2}[/tex] to represent half of p.
Since Karen's salary is $580 more, her salary is $580 + [tex]\frac{p}{2}[/tex] .
Answer:
heyyyy
Step-by-step explanation:
If the measure of angle 3 is equal to (2x + 6) and x = 7, which statements are true?
Check all that apply .
Answer:The measure of angle 6 is 20. The measure of angle 5 is 70. Angles 2 and 5 are complementary. Angles 1 and 4 are supplementary.
Step-by-step explanation:
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30 and same-day tickets cost $35. For one performance,
there were 65 tickets sold in all, and the total amount paid for them was $2125. How many tickets of each type were sold?
Answer:
30 $15 tickets and 20 $35 tickets
Step-by-step explanation: