Answers
Answer:
y = (-1/80)x^2 +2x
Step-by-step explanation:
The graph of the equation for the arch will go through the points ...
(0, 0), (160, 0), (80, 80)
We can start by making use of the zeros to write the function ...
y = a(x -0)(x -160)
To make the graph go through the point (80, 80), we must have ...
80 = a(80 -0)(80 -160) = (-80^2)a
-1/80 = a . . . . . . divide by the coefficient of "a"
So, our equation is ...
y = (-1/80)x(x -160)
y = (-1/80)x^2 +2x
Related Questions
Find the perimeter of the triangle.
Answers
9514 1404 393
Answer:
84 in
Step-by-step explanation:
The Pythagorean theorem is used to find the length 'b'.
b^2 +12^2 = 37^2
b = √(37^2 -12^2) = √1225 = 35
Then the perimeter is the sum of side lengths:
P = a + b + c = 12 + 35 + 37
P = 84 . . . inches
Answer:
in triangle
b=√(37²-12²)=35
perimeter of the triangle.=sum of all side
=37+12+35=84in
Find the median of the following data.
2, 8, 7, 8, 6, 15, 6, 8,3
A 8
B. 6
C. 15
u
D. 7
E 2
u
Answers
This is the median in this problem. Hope this helps!!!
Juan is arranging three flavors of ice cream in his cooler: chocolate, cookie dough, and mint. If chosen at random, what is the probability that Juan will place mint in the middle?
help i will give brainliest
Answers
Answer:
if there's only one ice cream flavor the chances are 100%, if there are two ice cream flavors the chance will be the half of the first one which will make it 50%. if there are three it'll be the ⅓ of the first one which will make it 33.3%. So the probability that Juan will place the mint flavor will be 33.3% (I don't know I just say it.)
Whenever Deven and Laura owe each other money, they "pay" each other using stickers. They've agreed that a Harry Potter sticker is worth 49 dollars and a Twilight sticker is worth 35 dollars. They can even use stickers as "change" if one person overpays the other. For example, if Deven owes Laura 189 dollars, he can give her 6 Harry Potter stickers ($6 \cdot 49 = 294$ dollars), and she can return 3 Twilight stickers ($3 \cdot 35 = 105$ dollars). This trade is like a transfer of $294-105=189$ dollars. What is the smallest positive debt, in dollars, that can be paid off using sticker trading?
Answers
The smallest positive debt that can be paid off using sticker trading is $7$ dollars.
To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.
Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.
The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.
In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.
Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.
For such more questions on debt
https://brainly.com/question/28929846
#SPJ8
UNIT ISCALING
SCALE DRAWING OF A SCHOOL BUS HAS A SCALE OF 1/2 INCH TO 5 FEET. IF THE
ENGTHS OF THE SCHOOL BUS IS 4 1/2 INCHES ON THE SCALE DRAWING, WHAT IS THE
ACTUAL LENGTH OF THE BUS? EXPLAIN OR SHOW YOUR REASONING
Answers
The actual length of the bus is given as follows:
45 feet.
How to obtain the actual length of the bus?The actual length of the bus is obtained applying the proportions in the context of the problem.
The scale drawing is of 0.5 inches to 5 feet, hence the length represented by each inch of drawing is given as follows:
5/0.5 = 10 feet.
The length of the drawing is given as follows:
4.5 inches.
Hence the actual length of the bus is given as follows:
4.5 x 10 = 45 feet.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Thirty seventh graders each took a random sample of 10 middle school students and asked each student whether or not he likes pop music. Then, they calculated the proportion of students who like pop music for each sample. The dot plot below shows the distribution of the sample proportions.
Based on the dot plot, do you think the proportion of the middle school students at this school who like pop music is 0.5? Explain why or why not.
Answers
Answer:
No, too many dots to the left of 0.5
And the average proportion is about 0.39, close to 0.4
Step-by-step explanation:
There are way more dots to the left of 0.5 than there are to the right of 0.5
And there are nowhere near enough dots right on 0.5 to make up for that.
So we can tell just from looking that these dots don't average out to 0.5
If you actually count the dots and add up the values of all the dots:
1 x 0.1 = 0.1
3 x 0.2 = 0.6
9 x 0.3 = 2.7
8 x 0.4 = 3.2
6 x 0.5 = 3.0
2 x 0.6 = 1.2
1 x 0.7 = 0.7
30 proportions 11.5 Total of All Proportions
11.5/30 = 0.38333333... , a lot closer to 0.4 than to 0.5
21 ≤ 2x + 3 =
How do you work this out? And what is the answer? :)
Answers
Answer:
9
Step-by-step explanation:
21≤2x+321-3≤2x18≤2xdivide both side by 2therefore the answerx≥9Ty received test grades of 82%, 74%, 76%, 76%, and 74%.
(a) What grade would he need to make on the sixth test to get a C if a C is at least 75% but less than 80%?
(b) Is it possible for Ty to get an A for his test average (at least 90%)?
Part: 0/2
Part 1 of 2
To earn a C in the course, Ty must score at least
% but less than
% on the sixth test.
SOMEONE HELP ME PLEASEEE !!
Answers
Answer:
a) To earn C he needs at least 68 and less than 98
b) No, he couldn't make it.
Step-by-step explanation:
I. His avg value is (382 + x)/6
I pick a random number and that gave
(68 => to reach 75) and (98 => to reach 80)
So that makes he needs at least 68 and less than 98
II. The reason why he cannot make it is
if 100 is 100%
= (100 + 382)/6
= 80.33 That's impossible to reach 90
Hope that help :)
approximately how much money would Maddie have if he invested $1,200 at an interest rate of 5% for 7 years compounded monthly (12 times a year)?
Answers
ok
Formula
\(\begin{gathered} A\text{ = P(1 + }\frac{r}{n})^{nt} \\ \end{gathered}\)P = 1200
r = 0.05
n = 12
t = 7
Substitution
\(\text{ A = 1200(1 + }\frac{0.05}{12})^{12(7)}\)Simplification
\(\text{ A = 1200(1.0042)}^{84}\)Result
\(\text{ A = 1706.39}\)Maddie will have $1706.39
Let f= {(-5,-4),(6,-5),(2, -3)}.
Find f(-5).
Answers
Answer:
f(–5)=–4
Step-by-step explanation:
as it is defined
Mary has 37 sheep in her flock. If she makes one group of 7 sheep, how many equal groups of 3 sheep can be made with the remaining sheep?
Answers
Answer: 10 groups
Step-by-step explanation:
Since we know she is making a group of 7 sheep, we can do 37-7 to get 30 sheep left
If she wants to find how many groups she can make we have to do 30/3 which gets us to 10 which is the number of groups she can do
I hope this helps
I need to know what x equals and what MN equals PLS HELP
Answers
Answer:
x = 6, MN = 12
Step-by-step explanation:
\(x+2x=18 \\ \\ 3x=18 \\ \\ x=6 \\ \\ MN=2(6)=12\)
. If two of the angles in a scalene triangle are 54° and 87°, what is the other angle?
Answers
The answer is:
⇨ x = 39°Work/explanation:
Bear in mind that the sum of all the angles in a triangle is 180°.
Given two angles, we can easily find the third one.
Let's call it x.
Next, we set up an equation:
\(\sf{54+87+x=180}\)
\(\sf{141+x=180}\)
Subtract 141 on each side.
\(\sf{x=180-141}\)
\(\sf{x=39}\)
Hence, the other angle is 39°.A worker is getting a 4.5% raise. His current salary is $35,591. How much will his raise be?
His raise will be $
(Type an integer or decimal rounded to two decimal places as needed.)
Help me solve this
View an example
Get more help
Answers
$35,591/100=355.91*4.5= 1601.595
A company has determined that its maximum profit occurs when it sells 10,000units per month. For every 1,000 units more or less than 10,000 units that thecompany sells, its profit decreases by $5,000. Which of the following equationscan be used to find the number of units, q, in thousands, for which the profitdecreases $35,000 from the maximum?
A. 10 |q−35| =5
B. 5 |q−10| =35
C. 35 |q−10| =5
D. 5 |q−35| =10
Answers
Answer:
B. 5 |q−10| =35
Step-by-step explanation:
Solution:
let's try to understand the problem clearly.
In this question, we asked to calculate the number units which that company produces so that it's profit is decreased from the maximum profit.
We know that, for 10000 units = company will get maximum profit.
Any value less than or greater than 10000 units will decrease the profit.
and we also know that,
For every 1000 units profit is decreased by $5000.
So if maximum profit is at 10000 units,
Then at 9000 units = it will have profit decreased by 5000 from the maximum
if q = 11000 then profit = Maximum - 5000
But we are asked to calculate the profit decrease of $35000 from the maximum.
it means we need 5000 decreased by 7 times = 10000 + 7000 = 17000 units
So, if company produces 17000 units,
profit will be decreased by 5(7000) = 35000
Finally,
B. is the only equation which satisfies this condition.
B. 5 (q-10) = 35
(q-10) = 7
q = 10 + 7 = 17
q = 17000 units
Hence, for 17000 units, company's profit will decrease $35000 from the maximum profit.
help me please
Indicate the method you would use to prove the two triangles. If no method applies, enter "none".
AAS
SSS
NONE
SAS
ASA
Answers
Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.
Please help 5/2 (2m - 4/5) = -(m+2)
Answers
Answer: m = 0
Step-by-step explanation:
5/2 (2m-4/5) = -m-2
or, 5m-2 = -m-2
or, 5m+m = -2+2
or, 6m = 0
so, m = 0
Simply both sides
Add to m to both sides
Add 2 to both sides
Divide by 6
A group of students with normally distributed salaries earn an average of 6800 with a standard deviation of $2500. Find the cutoff for the salary that corresponds to the lower 25% of all salaries
Answers
Answer: $5115
Step-by-step explanation:
The following information can be gotten from the question:
Mean = 6800
Standard deviation = 2500
We will then find the Z score of the 25th percentile which will be -0.674.
Therefore, the cutoff for the salary that corresponds to the lower 25% of all salaries will be:
= 6800 - 0.674 × 2500
= 6800 - 1685
= 5115
The cutoff is $5115
The area of a rectangle is given by the function A(x) = 2x3 + 6x2 + 5x + 15. If the length is defined by x + 3, what is the width of the rectangle?
Answers
Answer:
2x² +5
Step-by-step explanation:
You want the width of a rectangle with a length of x+3 and an area of A(x) = 2x³ +6x² +5x +15.
AreaThe area is the product of length and width, so the width will be ...
A = LW
W = A/L = (2x³ +6x² +5x +15)/(x +3)
The cubic expression can be factored by grouping, so we have ...
Area = (2x³ +6x²) +(5x +15)
= 2x²(x +3) +5(x +3)
= (2x² +5)(x +3)
Then the width is ...
\(\text{width}=\dfrac{(x+3)(2x^2+5)}{x+3}=\boxed{2x^2+5}\)
The width of the rectangle is 2x² +5.
<95141404393>
Which graph represents this system?
3x+2y=-6
y=-3/2x+2
Answers
Answer: look at the picture
Step-by-step explanation: hope this help:)
Write 2.83 as a mixed number and as an improper fraction.
Do not try to simplify your answers.
Answers
Answer:
Mixed number: \(2\frac{83}{100}\)
Improper Fraction: \(\frac{283}{100}\)
Answer:
\(\frac{238}{100}\\\\2\frac{38}{100}\)
Step-by-step explanation:
2.83/1
To make this a normal fraction, the top has to be a whole number, so we can multiply the top and bottom by 100 to slide the decimal point twice.
238/100
This can be shown as a mixed number by removing the 200 which is divisible by 100
\(2 \frac{38}{100}\)
Note: The reason the question says not to simplify is because 283 is a prime and cannot be simplified
Write and solve an equation to find the value of x.
Answers
The value of x for each item is given as follows:
28. x = 5.
29. x = 3.44.
How to obtain the value of x in each item?For item 28, we apply the crossing chord theorem, which states that the products of the parts of the chords are equal, hence the value of x is obtained as follows:
16x = 10 x 8
16x = 80
x = 5.
For item 29, we apply the two secant theorem, hence the value of x is obtained as follows:
10(x + 10) = 12(12 + 25)
10x + 100 = 444
10x = 344
x = 3.44.
More can be learned about the two-secant theorem at https://brainly.com/question/26340897
#SPJ1
You want to test whether or not the following sample of 30 observations follows a normal distribution. The mean of the sample equals 11.83 and the standard deviation equals 4.53. 2 3 5 5 7 8 8 9 9 10 11 11 12 12 12 12 13 13 13 14 15 15 15 16 16 17 17 18 18 19 The number of intervals or categories used to test the hypothesis for this problem is a. 5. b. 6. c. 4. d. 10.
Answers
Answer:
b. 6
Step-by-step explanation:
The standard deviation is 4.53 approximately 5. The standard deviation tells how far the data is located from the mean.
The total number of observations= 30
So dividing 30/5 gives 6
Hence 6 intervals or categories used to test the hypothesis for this problem
as each category will have a data point in it .
So the best option is b.
100 points will mark brainliest
Answers
Answer:
A is the answer
Step-by-step explanation:
if its wrong than its C
Please help I'll give Brainliest urgent!!!!!!!!!
Answers
Answer:
75
Step-by-step explanation:
the line in the middle of the box tells you the median
which one of these answers is the actual one
Answers
the area of rectangle is determined by multiplying the length and breadth
you can use the calculator to find out!
hope it helped :D
what is six hundred eighty and fourteen thousandths written in standard form?
Answers
Answer:618.014
Step-by-step explanation: It may look like hundredths which is where must people mess up but it is instead thousandths.
Find the area of the shape shown below.
Answers
Answer:
The answer is 32
Step-by-step explanation:
The formula for finding the area of a trapezoid is:
((base 1 + base 2)/ 2 )* h
Now all you have to do is substitute the numbers in.
Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.
Answer:
32 square units
Step-by-step explanation:
\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)
Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.
Answer if you know your right, bur dont answer just for the points
Answers
Answer:
c
Step-by-step explanation:
166% is also equal to 1.66 as a decimal. 1 2/3 as a decimal is 1.6666 repeating. It can't be 166% because they are equal.
7/3 is equal to 2 1/3. Without converting it to a decimal, you already know 2 is bigger than 1, so option c is your answer.
Answer:
C.
Step-by-step explanation:
7/3 = 2.3 > 1 2/3
Help me pls pls pls plspl splspls
