Answer:
Step-by-step explanation:
We have that the focus is at (p,0) and that the directrix is x=-p. Take the point (-p,0) of the directrix. We know that the vertex of the parabola is at the middle point ot the line segment that joins the points (p,0) and (-p,0). To get the middle piont, we take the average coordinate by coordinate. That is, the middle point is [tex](\frac{-p+p}{2}, \frac{0+0}{2}) = (0,0)[/tex]. The general formula of a parabola of vertex (h,k) that opens to the right or to the left is given by
[tex](y-k)^2 = 4p(x-h)[/tex]
Where |p| is the distance from the focus to the vertex. If the parabola opens to the right, then p>0 and p<0 otherwise. In our case, h =0=k, so we get that
[tex]y^2 = 4px[/tex]
Answer:
y^2 = 4px
Step-by-step explanation:
edg 2021
A weight is attached to a spring which moves up and down as a function of time
plt) uves the position of the weight at time (t). Position is in centimeters and time is in seconds
Complete the following sentences based on the graph of the function,
• The graph is a nonlinear function
• The initial position of the weight is centimeters
• The weight first reaches equilibrium Whent = seconds)
Note: We say that the weight is at equilibrium whenever plt) = 0 cm, and we say that the initial position of the block
is its position when t = 0
!!15p!!
Which statement explains how to calculate the mean of a set of data?
A
Subtract the smallest from the largest value.
B. Add the largest and the smallest values and divide by 2.
C. Find the sum of all the values and then divide by the number of values.
D. Organize the data from least to greatest and find the value in the middle.
E Organize the data from least to greatest and identify which value is repeated the most often.
Answer:
C
Step-by-step explanation:
Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean!
box and whisker 45 50 55 60 65 70 75
Answer: 40 45 50 55 60 65 70 75 80 40 45 50 55 60 65 70 75 80 H J G 40 45 50 55 60 65 70
Step-by-step explanation: Keeps repeating
Answer:
Please see attached image of a box plot.
Indicate whether each of the following fractions is proper or improper.
a. 4⁄16
b. 75⁄70
c. 2⁄15
d. 6⁄6
Answer:
Answers are below
Step-by-step explanation:
a. 4⁄16 Proper because the numerator is less than the denominator.
b. 75⁄70 Improper because the numerator is greater than the denominator.
c. 2⁄15 Proper because the numerator is less than the denominator.
d. 6⁄6 Proper because the numerator is less than or equal to the denominator.
If these answers are correct, please make me Brainliest!
Help me on both these please :(
Answer:
25. C
26. F
Step-by-step explanation:
26.
You know that the sum of all of the angles in a triangle must be equal to 180º, we can make an equation.
55º + 67.5º + 3xº + 14º = 180º
Combine like terms:
136.50º+ 3xº = 180º
Subtract 136.50º
3xº = 180º - 136.50º
3xº = 43.50º
Divide by 3
xº = 43.50º / 3º
x = 14.50º
Solve for x. Explain the steps taken to find the solution.
3/2 + 3x/5 = 9/2 4x/5
Answer:
46
i just got it right
If the probability of a chance event is 0.67, it is less likely to happen
than which of the following probabilities of another chance event?
Select one:
0.76
0.61
0.65
0
Answer:
.76
Step-by-step explanation:
Sandra bought 3 pounds of sweet potatoes for
$4.50. What is the cost per pound of the sweet
potatoes?
Answer:
$1.5
Step-by-step explanation:
What is the length of the hypotenuse
Answer:
15ft
Step-by-step explanation:
a^2 + b^2 = c^2
12 or 9 can equal to b or a
12^2 + 9^2 = c^2
144 + 81 = c ^2
225 = c^2
Square root of 225
15 = c
Answer:
15
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + 12^2 = c^2
81+144 = c^2
225 = c^2
15 = c
How many 3-letter combinations can be made from this set if no letter can be repeated?
{a, b, c, d, e, f}
A.100
B.120
C.240
D.30
Answer:
B 120 different combinations
Step-by-step explanation:
There are 6 letters to choose from
Picking a letter for the first spot 6
Then there are 5 letters left
Picking a letter for the second spot 5
Then there are 4 letters left
Picking a letter for the second spot 4
6*5*4
= 120
What is the completely factored form of x2 – 16xy + 64y2?
Oxy(x - 16 + 64y)
Oxy(x + 16 + 64y)
O (X -8y)(x -8y)
(X + 8y)(x + 8y)
Answer:
(x-8y)(x-8y) or (x-8y)^2
Write a formula for quadratic function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).
Answer:
y = - 8x² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (0, 6), thus
y = a(x - 0)² + 6, that is
y = ax² + 6
To find a substitute (- 1, - 2) into the equation
- 2 = a(- 1)² + 6, that is
- 2 = a + 6 ( subtract 6 from both sides )
- 8 = a
y = - 8x² + 6
The formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]
A quadratic function is represented as:
[tex]y = a(x - h)^2 + k[/tex]
The vertex of the quadratic function is given as:
[tex](h,k) = (0,6)[/tex]
So, we have:
[tex]y = a(x - 0)^2 + 6[/tex]
This gives:
[tex]y = ax^2 + 6[/tex]
The quadratic function passes through (-1,-2).
So, we have:
[tex]-2 = a(-1)^2 + 6[/tex]
[tex]-2 = a + 6[/tex]
Subtract 6 from both sides
[tex]a = -8[/tex]
Substitute -8 for a in [tex]y = ax^2 + 6[/tex]
[tex]y = -8x^2 + 6[/tex]
Hence, the formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]
Read more about quadratic functions at:
https://brainly.com/question/11631534
Find the length of x
Answer:
7.2
Step-by-step explanation:
divide 28.8 by 4
200 pointssss
(07.01)
Which of the values in the set {1, 2, 3, 4} is a solution to the equation 3x + 3 = 15?
1
2
3
4
Answer:
9, 6, 3, 0
Step-by-step explanation:
I just input the values multiplied and subtracting from using the number 15
Answer:
3
Step-by-step explanation:
a circle with a radius of 1 unit
Answer:
C= 6.28 A: 3.14
Step-by-step explanation:
Circumference of a circle is 2* pi * r
Based on this, we can subsitute r for 1
2* pi * 1= 2pi which is around 6.28 units
Area of a circle is pi* r* r
Based on this, we can subsitute r for 1
pi* 1* 1= pi= 3.14 units squared
Eric needs a $1,500 loan in order to buy a drone. Which loan option would cost him the MOST in interest?
A) A 24-month loan with a 6.25% annual simple interest rate.
B) A 30-month loan with a 6.00% annual simple interest rate.
C) A 36-month loan with a 4.00% annual simple interest rate.
D) A 42-month loan with a 3.75% annual simple interest rate.
Answer:
Pretty sure its A
Step-by-step explanation:
wait hold on im wrong
how do you delete an answer
A line passes through the point (-8,3) and had a slope of -3/4. Write an equation in point-slope form for this line
Answer:y-3=-3/4(x+8)
Step-by-step explanation: you plug the numbers into the formula y-y1=slope(x-x1)
Sarah solved this system of equations. 4x + 2y = –14 –10x - 7y = –25 Step 1: 40x + 20y = –140 –40x - 28y = 100 Step 2: –8y = –40 Step 3: y = 5 Step 4: 4x + 2(5) = –14 Step 5: x = –6 Step 6: Solution: (–6, 5) Did Sara find the correct solution to the system of equations? Explain. Yes, Sara found the correct solution. No, in step 1 she multiplied the right side of the second equation by –4 instead of by 4. No, in step 4, she substituted the value of y back into the wrong equation to solve for x. No, in step 6, she switched the order of the solution. It should be (5, –6).
Answer:
The answer is B "No, in step 1 she multiplied the right side of the second equation by -4 instead of by 4"
Step-by-step explanation:
Answer:
A) Yes, Sara found the correct solution.
B) No, in step 1 she multiplied the right side of the second equation by –4 instead of by 4.
C)No, in step 4, she substituted the value of y back into the wrong equation to solve for x.
D)No, in step 6, she switched the order of the solution. It should be (5, –6).
Answer = B) No, in step 1 she multiplied the right side of the second equation by –4 instead of by 4.
Step-by-step explanation:
I just did the assignment.
Find one value of x that is a solution to the equation:
(2x-3)^2=4x-6
Answer:
5/2 or 3/2
Step-by-step explanation:
(2x-3)(2x-3)
FOIL it out
4x^2-6x-6x+9
4x^2-12x+9=4x-6
add 12x to each side
4x^2+9=16x-6
add 6
4x^2+15=16x
4x^2-16x+15=0
use quadratic formula
Math question down below
Answer:
B. 0.583
Step-by-step explanation:
what is 9^3 as a power of 3
Answer:
729
Step-by-step explanation:
9³ you just type that in the calculator
Answer:
[tex] {3}^{6}[/tex]
Step-by-step explanation:
[tex] \huge {9}^{3} \\ \huge= ( {3}^{2} )^{3} \\ \huge = {3}^{2 \times 3} \\ \huge= {3}^{6}[/tex]
What percent of the students, who have a computer, do not have a phone?
Answer:
if it was out of all of the data it would be 76 / 300
The graph of F(x), shown below in pink, has the same shape as the graph of
G(X) = x2, but it is flipped over the x-axis and shifted down 1 unit. What is its
equation?
We have been given that the graph of [tex]F(x)[/tex] has the same shape as the graph of [tex]G(x)=x^2[/tex], but it is flipped over the x-axis and shifted down 1 unit. We are asked to find the equation of [tex]F(x)[/tex].
We will use transformation rules to solve our given problem.
The rule of reflection of a graph about x-axis is [tex]f(x)\Rightarrow -f(x)[/tex].
Let us find [tex]-G(x)[/tex] as:
[tex]-G(x)=-(x^2)=-x^2[/tex]
Now we will shift our graph 1 unit down.
[tex]f(x)-a\Rightarrow\text{Graph shifted downwards by a units}[/tex], where a is a positive number.
This is same as subtracting 1 from [tex]-x^2[/tex] as:
[tex]F(x)=-x^2-1[/tex]
Therefore, our required function would be [tex]F(x)=-x^2-1[/tex].
help as soon as possible plss
Answer:
By using the Pythagorean Theorem, we know that the length of the slide is 17 ft.
Step-by-step explanation:
We can use the Pythagorean Theorem to solve this equation.
[tex]a^2+b^2=c^2[/tex]
a = 8
b = 15
Now, let's plug in these numbers so we can know the length of the slide.
[tex]8^2+15^2=c^2\\64+225=c^2\\289=c^2\\\sqrt{289}=\sqrt{c^2}\\17=c[/tex]
So, the length of the slide is 17 ft which is answer choice C.
Answer:
a^2 + b^2 = c^2
8^2 + 15^2 = c^2
64 + 225 = c^2
289 = c^2
[tex]\sqrt{289}[/tex] = c
17
Which interval represents a peak in the histogram?
0-99
100-199
200-299
300-499
400-499
Describe the overall shape of the histogram:
Answer:
it is 200-299
Step-by-step explanation:
i think that because it shows it and it is easy i mean if u look at it it shows the answer
A data set is normally distributed with a mean of 115 and a standard deviation of 23. What is the probability that a value in the data set is greater than or equal to 162?
The probability is about __
Answer:
The probability that a value in the data set is greater than or equal to 162
P(X≥162) = 0.0207
Step-by-step explanation:
Step(i):-
Given mean of the Population = 115
Given standard deviation of the Population = 23
Let 'x' be the random variable of normal distribution
Let x = 162
[tex]Z = \frac{x-mean}{S.D} = \frac{162-115}{23}[/tex]
z = 2.043
Step(ii):-
The probability that a value in the data set is greater than or equal to 162
P(X>x) = P(Z>z) = P(Z> 2.043)
P(X≥162) = P(Z≥2.043) = 1-P(Z≤ 2.043)
= 1- ( 0.5 +A(2.043)
= 1-0.5 -A(2.043)
= 0.5 - 0.4793
= 0.0207
Final answer:-
The probability that a value in the data set is greater than or equal to 162
P(X≥162) = 0.0207
Yesterday, the price of a gallon of gas at five gas stations was $3.72, $3.87, $3.78, $4.09, and $3.989, respectively, but today each gas station raised its price by $0.08. What is today's mean price of a gallon of gas at the five stations?
A. 3.97
B. 4.05
C. 3.89
D. 3.81
Answer:
Option (A) 3.97.
Step-by-step explanation:
Price for one gallon of gas in gas station 1 = $3.72 (Yesterday)
Price for one gallon of gas in gas station 2 = $3.87 (Yesterday)
Price for one gallon of gas in gas station 3 = $3.78 (Yesterday)
Price for one gallon of gas in gas station 4 = $4.09 (Yesterday)
Price for one gallon of gas in gas station 5 = $3.989 (Yesterday)
Prise raised by each gas station Today = $0.08
Price for one gallon of gas in gas station 1 = $3.72 + $0.08
= $3.80 (Today)
Price for one gallon of gas in gas station 2 = $3.87 + $0.08
= $3.95 (Today)
Price for one gallon of gas in gas station 3 = $3.78 + $0.08
= $3.86 (Today)
Price for one gallon of gas in gas station 4 = $4.09 + $0.08
= $4.17 (Today)
Price for one gallon of gas in gas station 5 = $3.989 + $0.08
= $4.069 (Today)
Mean = Sum of the Terms Number of Terms / Total Number of Terms
= $3.80 + $3.95 + $3.86 + $4.17 + $4.069 / 5
= 19.849 / 5
= 3.9694
= 3.97 (Approximately)
As we can see that the Option (A) 3.97 correctly matches the answer.
So the correct answer is Option (A) 3.97.
Want the basics of mean?
Visit —
https://brainly.ph/question/2778281
Hope my answer helps you ✌️
Mark BRAINLIEST
please help im having trouble with these problems
Answer:
B I think
Step-by-step explanation:
HELP ASAP WILL MARK BRAINLIEST
IF YOU DONT KNOW DONT ANSWER
Answer:
y is 10 degrees the pink one
y = 10
Hope This helps :D
The points (-16,r) and (-4,11)lie on a line with slope 1/2. Find the missing coordinate r?
Answer: The missing coordinate R is 5.
Step-by-step explanation:
11=1/2(-4) + B
11=-2 +B
B= 13
B represents the y-intercept
so we will use the equation y=mx + B and we know the slope and y intercept.
r= 1/2(-16) + 13
r= 5
