Answers
Answer:
a. was incorrect a = -0.109569028 so...
y = -0.109569028(x + 7)² + 54
b. It's been the above vertex equation for a parabola then
set y = 40 equal to the parabolic equation, we get
40 = -0.109569028x² - 1.533966392x + 48.631117628
solve for x we get
x = -18.3036867393939 or ~ 18.3 feet
Step-by-step explanation:
y = a(x - h)² + k
(h, k) = vertex = (-7, 54)
x = h is the axis of symmetry -7
y = a(x -(-7))² + 54
y = a(x + 7)² + 54
solve for a by inputting the point (15.2, 0)
0 = a(15.2 + 7)² + 54
-54 = a(22.2)²
-54 = 492.84a
a = -54/492.84
a = -0.109569028
Related Questions
Joshua delivered 30 hives to the local fruit farm. If the farmer has paid to use 5% of the total number of Joshua’s hives, how many hives does Joshua have in all?
Answers
Answer:
600 hives
Step-by-step explanation:
If 30 is 5% of the total number of hives Joshua has, then 5%x20=100%
So, 30x20=100%
30x20=600
hope it helped :)
Find the missing factor A that makes the equality true
8x 3 =(−2x)(A)
Answers
If y = 14 when x=8, determine the value
of y when x = 12.
Answers
Answer:
y = 18
Step-by-step explanation:
Without a picture or more information, this question is actually unsolveable. The answer could be multiple things, because there are multiple way to get from 8 to 14. But I will just assume that the equation for solving is:
x + 6 = y
So plug in 12 for x and you get y = 18.
Simplify the linear expression.
Answers
Answer:
5a/3+1/8-a/6-1/2
Step-by-step explanation:
Mae read a 403-page book in 13 hours. at this rate , how long will it take her to read a 248-page book?
Answers
Answer:
8 hours
Step-by-step explanation:
Number of pages read in 1hour = 403 / 13 = 31 pages
Time taken to read 248 page book = 31 x 8 = 248
It takes 8 hours to read 248 pages book
please show work if needed if not then just answer:)
Answers
Answer:
Not here.
Step-by-step explanation:
F. The converse of the conditional.
The converse would state the following:
"If it is January, then it is winter in the United States" (Original).
"If it is winter in the United States, then it is January" (Converse).
It is not true, as it can be December, January, or February during the winter season.
G. The inverse of the conditional.
The inverse would state the following:
"If it is January, then it is winter in the United States" (Original).
"If it is not January, then it is not winter in the United States" (Inverse).
Again, as the above states, the winter season encompasses more than just the month of January.
H. The contrapositive of the conditional.
The contrapositive would state the following:
"If it is January, then it is winter in the United States" (Original).
"If it is not January, then it is not winter in the United States" (Contrapositive).
Again, there is more than just January in the winter season.
~
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 5 milliliters of compound B. If a chemist wants to make 408 milliliters of the drug, how many milliliters of compound A are needed?
Answers
Answer:
153
Step-by-step explanation:
The formula is 3 mL of A to 5 mL of B.
Let's say the chemist uses just the numbers in the formula.
Add 3 mL of A to 5 mL of B.
3 mL + 5 mL = 8 mL
The chemist ends up with 8 mL of the drug.
He really want 408 mL.
408 mL is how many times greater than 8 mL?
408/8 = 51
He needs to use 51 times the numbers in the formula.
51 * 3 mL of A + 51 * 5 mL of B =
= 153 mL of A + 255 mL of B
= 408 mL of the drug
Answer: 153
22k + 22k? Brainliest If Correct
Answers
Paris Saint-Germain, a French professional soccer team, led the 2015 ESPN/Sporting Intelligence Global Salary Survey with the largest payroll for all professional sports teams. A soccer fan looks up the salaries for all of the players on the 2015 Paris Saint- Germain team. Because the fan took a statistics course, the fan uses all of these salaries to get a 95% confidence interval for the mean salary for all 2015 Paris Saint-Germain players. This makes no sense. Why not
Answers
The confidence interval for the mean gives an estimated range in which the true population mean of the data resides. Since, the fan uses all the population data, then he could find the population mean directly.
The population mean gives the value of the mean using all the data in the population, it is often referred to as the true mean. In cases where the entire population data is not available or incomplete, the true mean can be estimated using the sample mean within a given range called the confidence interval of the mean.Therefore, since the fan is already using all the population data, then he could just calculate the population mean directly.
Learn more :https://brainly.com/question/2396419
Select the correct answer. Which equation represents a line that is parallel to the x-axis, is perpendicular to the y-axis, and has a slope of 0? A. y=4/5x + 4/5 B. y=5/4x
C. y=4/5 D. x=5/4
Answers
Answer: D
Step-by-step explanation: i did this
Answer:
C. y = 4/5Step-by-step explanation:
The line parallel to the x-axis has same coordinate for any value of x. The slope is zero.
This line has the form:
y = b, where b is the y-intercept.The only option with similar form is C
If ABC is congruent to DEC…..what is x
Answers
Answer:
x = 32.5
Step-by-step explanation:
If ABC is congruent and equal to DEC then angle CDE = angle CBA since AB || DE
thus ABC = 2x = 65 where x = 65/2 = 32.5
Which of the following represents, "The difference between a number and elght Is twenty-two"?
A. N-8=22
B. 8 - N= 22
C. 8 - 22 N
Answers
Answer:
A.
Step-by-step explanation:
The difference means subtraction. The number mean a variable which is N. Then it is 8 (is means equal sign). Then 22 is the answer. The answer is N-8=22.
Have a great day!
PLS STOP DELITING FOR NO REASON I NEED HELP.
Answers
Answer:
They both go to equivalent
Step-by-step explanation:
Base BC of an equilateral triangle ABC is root2 x+y+2=0. If vertex A is the origin, then the area of triangle ABC is (in sq. units) A) 3 root3 B) 2/3 root3 C) 4/3 root3 D) 6 root3
Answers
Answer: Choice C
4/(3*sqrt(3))
which is the same as writing [tex]\frac{4}{3\sqrt{3}}[/tex]
==============================================================
Explanation:
We have the line [tex]\left(\sqrt{2}\right)x+y +2 = 0[/tex] in which points B and C are on this line. In other words, all of segment BC is on that line.
Point A is somewhere off that line as the diagram below indicates. We need to find the line through A that is perpendicular to the given line.
Recall that for any line of the standard form [tex]Px+Qy+R = 0\\\\[/tex], any perpendicular line will look like this: [tex]Qx-Py+S = 0\\\\[/tex]. Note the swap and sign change for the P,Q coefficients.
So anything perpendicular to [tex]\left(\sqrt{2}\right)x+y +2 = 0[/tex] will be of the form [tex]x-\left(\sqrt{2}\right)y+S = 0[/tex]. The sub-goal here is to find what S is equal to.
If you plugged in the origin point (x,y) = (0,0), then you should find that S = 0.
Therefore, the equation [tex]x-\left(\sqrt{2}\right)y = 0[/tex] is perpendicular to the given line and it passes through point A(0,0).
---------------------------
The reason why we computed that perpendicular line is to help determine the point D as shown in the diagram below. This point is at the intersection of the green perpendicular lines. This is at the base of the triangle such that BC is the base.
To find the location of point D, you need to solve this system of equations
[tex]\begin{cases}\left(\sqrt{2}\right)x+y +2 = 0\\\\x-\left(\sqrt{2}\right)y = 0\end{cases}[/tex]
Let's isolate x in the second equation
[tex]x-\left(\sqrt{2}\right)y = 0\\\\x=\left(\sqrt{2}\right)y\\\\[/tex]
Then substitute that into the other equation. Solve for y.
[tex]\left(\sqrt{2}\right)x+y +2 = 0\\\\\left(\sqrt{2}\right)*\left(\sqrt{2}\right)y+y +2 = 0\\\\2y+y +2 = 0\\\\3y +2 = 0\\\\3y = -2\\\\y = -2/3\\\\[/tex]
Now we can find x like so
[tex]x=\left(\sqrt{2}\right)y\\\\x=\left(\sqrt{2}\right)*(-2/3)\\\\x=\frac{-2\sqrt{2}}{3}\\\\[/tex]
The point D is located at the exact coordinates of
[tex]D=(x,y) = \left(\frac{-2\sqrt{2}}{3},\frac{-2}{3}\right)\\\\[/tex]
---------------------------
Next, we use the distance formula to compute the distance between point A and point D.
I'll use lowercase d to represent distance.
[tex]A = (x_1,y_1) = (0,0)\\\\D = (x_2,y_2) = \left(\frac{-2\sqrt{2}}{3},\frac{-2}{3}\right)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{\left(0-\left(\frac{-2\sqrt{2}}{3}\right)\right)^2 + \left(0-\left(\frac{-2}{3}\right)\right)^2}\\\\d = \sqrt{\left(\frac{2\sqrt{2}}{3}\right)^2 + \left(\frac{2}{3}\right)^2}\\\\d = \sqrt{\frac{8}{9} + \frac{4}{9}}\\\\d = \sqrt{\frac{12}{9}}\\\\d = \sqrt{\frac{4}{3}}\\\\d = \frac{\sqrt{4}}{\sqrt{3}}\\\\d = \frac{2}{\sqrt{3}}\\\\[/tex]
This represents the exact length of segment AD.
---------------------------
Since triangle ABC is equilateral, this means triangles ADB and ADC are identical mirrored copies of each other. Those two smaller triangles are equal in area and combine to form triangle ABC back again. Furthermore, they are right triangles. This last fact mentioned will allow us to use the pythagorean theorem like so
[tex]a^2+b^2 = c^2\\\\\left(\text{AD}\right)^2+\left(\text{DC}\right)^2=\left(\text{AC}\right)^2\\\\\left(\frac{2}{\sqrt{3}}\right)^2+\left(\frac{x}{2}\right)^2=\left(x\right)^2\\\\[/tex]
where x represents the lengths of AB, BC and AC.
After skipping a bit of steps, solving that said equation should lead to these two solutions
[tex]x = -\frac{4}{3}, \ x = \frac{4}{3}[/tex]
Because x is a side length, we ignore the negative solution.
---------------------------
We can now compute the area of triangle ABC
[tex]\text{area of triangle} = \frac{1}{2}*\text{base}*\text{height}\\\\\text{area of triangle ABC} = \frac{1}{2}*\text{BC}*\text{AD}\\\\\text{area of triangle ABC} = \frac{1}{2}*\frac{4}{3}*\frac{2}{\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{1*4*2}{2*3*\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{8}{6\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{4}{3\sqrt{3}}\\\\[/tex]
which points us to choice C as the final answer.
When writing this on a keyboard, we would write "4/(3*sqrt(3))" without quotes. The use of parenthesis is needed to ensure we divide by all of 3*sqrt(3). Otherwise, the computer might mistake it for [tex]\frac{4}{3}\sqrt{3}[/tex] which is entirely different.
After training for and running a marathon, an athlete wants to reduce her daily run
by half each day. The marathon is about 26 mi. How many days will it take after the
marathon before she runs less than a mile a day? Show your work.
Answers
Answer:
6 days
Step-by-step explanation:
This question becomes much easier when written out per day (shown below). The question tells us that she is reducing her run by half every day, so all we need to is divide the previous day by 2 to get the current day. She starts out with 26 miles so this is our day 1 value.
Day 1 = 26 miles
Day 2 = 13 miles (26÷2=13)
Day 3 = 6.5 miles (13÷2=6.5)
Day 4 = 3.25 miles (6.5÷2=3.25)
Day 5 = 1.625 miles (3.25÷2=1.625)
Day 6 = 0.8125 miles (1.625÷2=0.8125)
We can see that by day 6, her total running amount is less that 1 mile, so the final answer is 6 days.
How can the vertex of a parabola be used in solving
real-world problems?
Answers
Answer:
The vertex is the maximum or minimum point of the quadratic function. It can be used to solve real world problems optimization problems that can be modeled with quadratic functions
Step-by-step explanation:
hope this helps^^
brainliest maybe??<3
The ratio of the number of students at a spring concert to the number of adults is 7:3. There are a total of 450 people at the concert. many students are at the concert? How many adults are at the concert?
Answers
Answer:
students=315 adults=135
Step-by-step explanation:
3s=7a
s+a=450
s=450-a
3(450-a)=7a
1350-3a=7a
1350=7a+3a
1350=10a
a is 135
a is adult
s=450-a
s=450-135
s=315
branlist please
Examine the Federal Tax Table for married couples filing joint returns.
Married Couples Filing Jointly
If Taxable Income Is between: Then the Tax Due Is:
$0 – $19,400 10% of taxable income
$19,401 – $78,950 $1940+12% of the amount over $19,400
$78,951 – $168,400 $9086+22% of the amount over $78,950
$168,401 – $321,450 $28,765+24% of the amount over $168,400
$321,451 – $408,200 $65,497+32% of the amount over $321,450
$408,201 – $612,350 $93,257+35% of the amount over $408,200
$612,351+ $164,709.50+37% of the amount over $612,350
Sally and her husband, Ahmed, together earned a total of $203,300 in taxable income last year. Using the tax table, what do they owe in federal income taxes? Enter your answer rounded to the nearest dollar, such as: $42,536
Answers
Answer:
$37,141
Step-by-step explanation:
The applicable line of the tax table is ...
$28,765+24% of the amount over $168,400
If A represents the amount of taxable income, this simplifies to ...
$28,765 +0.24(A - 168,400) = $28,765 +0.24A -40416 = 0.24A -$11,651
For their income of 203,300, Sally and Ahmed owe ...
0.24×203300 -11651 = 48792 -11651 = 37141
They owe $37,141.
Arjun paid $21.60 for a box that contained 12 packs of baseball cards. At this rate, how much is one pack of baseball cards?
Answers
Answer:
$1.80
Step-by-step explanation:
You need to divide the amount he paid for the 12 packs by 12 and you get 1.80
Pleaaaaaaseeee
10 points
In the playing card deck below what is the chance of pulling 4 face cards without replacing the cards in between pulls? Answer in decimal form rounded to the 6th digit after the
decimal
Answers
Answer:
0.13000
there is 52 cards in a deck so you take 52 and divide it by 4 since there is only 4 face cards you then get 13 and turn it into 0.13 then round to the 6th digit or millionth after the decimal so you would get 0.130000
The three paths intersect in pairs at the points A, B, and C.
Answers
Answer:
Not a complete question... Sorry
Help me with this math, please!! <3
Answers
List all the positive even numbers less than 10:
Answers
Answer is
2, 4, 6, 8
helppppppppp??? Pls !!!
Answers
Answer:
a. 19
Step-by-step explanation:
5/6x-1/5x=19
5/6(30)-1/5(30)=19
25-6=19
19=19
?/30(30)=19
19/30(30)=19
19=19
I'm not sure if this is exactly what you're looking for, but 19=19 if you plug in 19 for the box (and x=30 because of the first section, I'm guessing)
What single decimal multiplier would you use to decrease by 2% followed by a 7% decrease?
Answers
9514 1404 393
Answer:
0.9114
Step-by-step explanation:
That multiplier would be ...
(1 -2%)×(1 -7%)
= (1 -0.02)(1 -0.07)
= 0.98×0.93 = 0.9114
Can anyone please help me
Answers
9514 1404 393
Answer:
(a) f(3) < g(3)
Step-by-step explanation:
Put the number where the variable is and do the arithmetic.
f(3) = 4·3³ = 4·27 = 108
g(3) = 3·4³ = 3·64 = 192
108 < 192
f(3) < g(3)
What is an equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25x+5y=25?
Answers
Answer:
[tex]y = - \frac{1}{5} x - 7[/tex]
Step-by-step explanation:
let's rewrite the equation
[tex]x + 5y = 25 \\ 5y = - x + 25 \\ y = - \frac{1}{5} x + 5[/tex]
Now let's use the given point and substitute it to find the y-intercept
[tex] - 6 = - \frac{1}{5} ( - 5) + b \\ - 6 = 1 + b \\ b = - 7[/tex]
The required solution of the given equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25 is
[tex]y=\frac{-1x}{5} -7[/tex].
What is slope?Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
Given:
The point is (-5,-6) and is parallel to the line x+5y=25.
According to given question we have
By use of slope we get
x+5y=25
5y=25-x
Divide both sides 5 we get,
y=-1/5x+5
Where m= -1/5
Now you can find the equation of the parallel line using
[tex](y-y_{0} )=m(x-x_{0})[/tex]
Put the given point as (-5,-6) we have,
[tex](y+6)=\frac{-1}{5} (x+5)\\\\y=\frac{-1x}{5} -1-6\\\\y=\frac{-1x}{5} -7[/tex]
Therefore, the required solution of the given equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25 is
[tex]y=\frac{-1x}{5} -7[/tex].
Learn more details about slope here:
https://brainly.com/question/3605446
#SPJ2
Cookie recipe 3 1/2 cups sugar for every 2 1/6 cups flour. What’s the unit rate of cups of sugar to cups of flour?
How many cups of sugar would you need if you used 6 cups of flour?
Answers
tonight's attendance was 100 more than double the attendance last night. If 500 attended tonight, how many attended last night?
Answers
Answer: 200
Step-by-step explanation: 200 doubled would be 400 and it says that tonights attendence was 100 more than the doubled which would add up and equal 500 (400+100=500) so 200 is your answer.
x2−5x+8 if x=3 help me
Answers
Step-By-Step:
If x=3 your equation would be;
3•2-5•3+8 mind you, • is a multiplication sign. Any time you have an X, Y, any variable really you multiply.
So, 3•2 is 6, 5•3 is 15,
6-15+8=-1