Answers
Answer:
Step-by-step explanation:
In the standard form of a quadratic,
[tex]h(x)=-x^2+v_0x+h_0[/tex],
that last term, the h0, is the initial height off the ground that the object is. That means that for the first question, the irrigation system is initially 9.5 feet off the ground.
In order to answer the next question, we need to find the vertex of the parabola, because this is where the max height will occur and at how many feet away from the system. The max height is the k of the vertex and the horizontal distance away is the h of the vertex: (h, k). Thankfully, we have simple formulas to find those:
[tex]h=-\frac{b}{2a}[/tex] and [tex]k=c-\frac{b^2}{4a}[/tex] where a, b, and c come from the coefficients in the equation. For us, a = -1, b = 10, and c = 9.5. Finding h first:
[tex]h=-\frac{10}{2(-1)}=\frac{-10}{-2}=5[/tex]
and now k:
[tex]k=9.5-(\frac{10^2}{4(-1)})=9.5-(\frac{100}{-4} )=9.5-(-25)=9.5+25=34.5[/tex]
Summing it up, the vertex is at (5, 34.5), The interpretation of that is that "The spray reaches a max height of 34.5 feet at a horizontal distance of 5 feet away from the sprinkler head."
Next we are asked how far away from the sprinkler head the water hits the ground. To do this we factor the expression to find the zeros. The zeros tell us where the water will hit the ground after it reaches its max height and then falls back down to earth.
I used my calculator to factor this for me to get that the water will hit the ground 10.87 feet away from the sprinkler head.
Related Questions
HELP ASAP PLEASEREEEEE
Answers
Answer:
uh
Step-by-step explanation:
my guy, I DK.
Answer in Detail !!! ✨
Answers
Answer:
3300cm²
Step-by-step explanation:
30cm+30cm=60cm 60cm is the lengh of the whole joint structure.We will put it in the equation as "a".
heigh stays the same(10cm) because the pieces are not stacked one on top of the other.They are joined on their sides.We will put it as "c".
Widht also stays the same.its 15 cm and we will put it as letter "b".
So
a=60cm
b=15cm
c=10cm
We need to calculate the surface area of the entire joint structure.
1.First thing to do is to calculate the top part which is:
a*b=15*60=900cm²
2.The bootom side is the same 900cm².
3.The front side is:
a*c=60*10=600cm²
4.The back side is the same as front so it is 600cm².
5.The left side is:
c*b=10*15=150cm²
6.The right side is the same as the left and it is 150cm²
Now we just add it up.
S(surface)=900*2+600*2+150*2=3300cm²
If you want the whole exercise in one equation:
S=2*(a*b)+2*(a*c)+2*(b*c)
Find the sum of one thousand and forty-two, sixty-nine and five hundred and thirty-six.
with full explanation
Answers
Answer:
1042
69+5=74
100+36=16
Step-by-step explanation:
> one thousand = 1000 (thousandth place)
0 = hundred place
and fourty-two = 42 (tenths)
1042
> 69+5=74
sixty-nine = 69 (tenth place)
5 = (unit)
64
> 100+36=536
one hundred = 100(hundredth place)
36 ( tenths)
146
Can someone please help me with my maths question
Answers
Answer:
a) log 2 (48 ×3 ×9 )
log 2 1296
10.3
b) log 4 24 - log 4 3/4 log 4 2
log 4 36
2.58
Function g can be thought of as a scaled version of f(x)=|x|
Answers
Answer:
g(x) = 1/2 |x|
Step-by-step explanation:
Scaling f(x) means it's of the form g(x) = a|x|
From the graph, it appears to pass through the point (2, 1). By subbing in the values for this point, the equation can be found to be:
1 = a|2|
a = 1/2
Therefore, g(x) = 1/2 |x|
Ava volunteers at an animal shelter with 6 cats. She has 15 cat treats. She gives each cat the same number of treats, and she gives as many treats she can. how many treats does Ava give each cat? how many treats are left?
Ava gives each cat ____ treats. _____ treats are left.
Answers
Answer:
Ava gives each cat __2__ treats. __3___ treats are left.
Step-by-step explanation:
Answer:
2 treats n 3 are left
Step-by-step explanation:
When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of a parabola. The height, in inches, of a spray of water is given by the equation h(x)=160x−16x2 where x is the number of feet away from the sprinkler head the spray is. What is the height of the spray 2 feet away from the sprinkler head?
Answers
Answer:
(1) 256 inches
(2) 5 feet
(3) 400 inches
(4) 10 feet
Step-by-step explanation:
(1) The function that gives the height in inches of the spray of water at a distance x from the sprinkler head is given as follows;
h(x) = 160·x - 16·x²
At x = 2 feet, we have;
h(2) = 160 × 2 - 16 × 2² = 256
Therefore, the height of the spray water at a horizontal distance of 2 feet from the sprinkler head h(2) = 256 inches
(2) The x-coordinate, [tex]x_{max}[/tex], of the maximum point of a parabola given in the form, y = a·x² + b·x + c is found using the following formula;
[tex]x_{max}[/tex] = -b/(2·a)
The x-coordinate, [tex]x_{max}[/tex], of the maximum point of the given equation of the parabola, h(x) = 160·x - 16·x², (a = -16, b = 160) is therefore;
[tex]x_{max}[/tex] = -160/(2 × (-16)) = 5
Therefore, the number of feet along the way, the function will reach maximum height, [tex]x_{max}[/tex] = 5 feet
(3) The function, h(x) = 160·x - 16·x², will reach maximum height, [tex]h_{max}[/tex], at x = 5, therefore;
[tex]h_{max}[/tex] = h(5) = 160 × 5 - 16 × 5² = 400
The maximum height of the spray, [tex]h_{max}[/tex] = 400 inches
(4) The water is at ground level where h(x) = 0, therefore;
At ground level, h(x) = 0 = 160·x - 16·x²
160·x - 16·x² = 0
∴ 16·x × (10 - x) = 0
By zero product rule, we 16·x = 0, or (10 - x) = 0, from which we have;
x = 0, or x = 10
The water is at ground level at x = 0 and x = 10 feet, therefore, the water will hit the ground again (the second time after leaving the sprinkler head at x = 0) at x = 10 feet.
Decide!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
15 unitsStep-by-step explanation:
Let the coordinates of point B are (x, y).
Since the rotation is clockwise the angle measure between OA and OB is -60° (IV quadrant).
x = 15 cos (-60°) = 7.5y = 15 sin (-60°) = -12.99The distance between A and B is:
AB = [tex]\sqrt{(15-7.5)^2+(0+12.99)^2} = \sqrt{225}[/tex] = 15 unitsAnother solutionSince OA = OB = 15 units and AOB is 60° angle the triangle OAB is equilateral. Hence AB is same as OA and OB, so AB = 15 units.
Please help me fast
Answers
Answer:
864
Step-by-step explanation:
A=6a^2=6·12^2=864
Answer:
864 in^2
Step-by-step explanation:
2(144+144+144) = 2(432) = 864 in^2.
Hope this helped!
what is the slope of the line?
Answers
The slope is -1.
You have to find the two closest points where the line directly hits a number. For that, we have -3 in the first quadrant and -3 in the third quadrant. With this info, the line goes down 3 times and to the right 3 times, The ratio would look like this: [tex]\frac{-3}{3}[/tex]. Divide both and you get -1. Hope that helped!
What is (0,6] n (6,8]?
Answers
Answer:
(6) the letter n : intersection which means the number you will find at the first bracket and has the same number at the other bracket
If f(x) = [x]-5, what is f(8.6)?
O 3
O 4
O 8
O 9
Answers
Answer:
if the question wants you to round. the answer is 4.
Step-by-step explanation:
f(x)=[x]-5
where x= 8.6
substitute 8.6 for x and you have 8.6-5= 3.6= 4
find the value of 16% of 174
Answers
Answer:
16% of 174 = 27.84
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
The answer isn’t C. Please help
Answers
Can someone quickly answer this please
Answers
Answer:
Step-by-step explanation:
Hello !
(4,4*2,4) + (3,14 * 2,2² )/2 =
10,56 + 7,60 = 18,2 m²
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24 ft long and 16 ft wide.
Find the area of the garden.
Answers
Answer: Using width as diameter=32π Using length as diameter=72π
*I included both possibilities since I didn't see a picture of the way in which the semicircle and rectangle were joined.*
Step-by-step explanation:
In order to solve, you have to know the formula for area of a circle which is A=πr^2 (pi*radius to the 2nd power)
The problem does not give us the radius, but we know that radius is half of the diameter.
To find the diameter, we have to use the side measurement of the rectangle and divide it by 2 to find the radius.
Next, we increase the radius to the 2nd power, giving us the radius of a whole circle.
Finally, we have to divide that by 2 since it's a semi circle otherwise known as half of a circle.
I put the answer in terms of pi since that's the most accurate, but if the question specifically instructs it, you can calculate part of the irrational decimal and round to a certain place value.
BD is paralell to XY, what is the value of y?
A. 125
B. 85
C. 65
D. 105
Answers
Answer:
options b is correct
Does the answer help you?
Answer:
B. [tex]85[/tex]
Explanation:
This is a simple test of your knowledge about this sort of problem. When you get 2 parallel lines intersected the way you see in the picture, the lower right angle of the first intersection is equal to the upper left angle of the first line as well as the upper left and lower right angles of the second line so with that knowledge you can immediately identify that since the question gives you the measure of an angle equal to the angle you need to identify; you don't even need to do any math to find the answer for this question.
asap help -------------------
Answers
Answer:
C. Complex
Step-by-step explanation:
A complex number consists of a real part (-4.8) and an imaginary part (56i)
Find the value of 3w-10 given that -11w-4=7.
Simplify your answer as much as possible.
Answers
Answer:
-13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-11w - 4 = 7
3w - 10
Step 2: Solve for w
[Addition Property of Equality] Add 4 on both sides: -11w = 11[Division Property of Equality] Divide -11 on both sides: w = -1Step 3: Evaluate
Substitute in w: 3(-1) - 10Multiply: -3 - 10Subtract: -13Will give brainliest need a quick answer
Answers
6c+5c+37=180
11c+37=180
11c=143
c=13
Then if you need the values of the angles, just substitute 13 for c.
your village community group is putting a new fence around the park .you offer to help and measure the distance around the park as 337 metres. each fence panel is 550cm across .how many fence panels do you need
Answers
Explanation:
Perimeter of the park
= 337 m
= 33700 cm
Length of each fence panel
= 550 cm
Number of fence panel required
= Perimeter of the park/Length of each fence panel
= 33700 cm/550 cm
= 33700/550
= 3370/55
= 674/11
= 61 3/11
So, we will need 61 3/11 fence panels.
P.S. — 61 3/11 means 61 whole and 3/11. I have attached its picture, so that you understand.
HELP PLEASEEEE BOTH DUE SOON
Answers
Answer:
1. 2.7
2. 27
Step-by-step explanation:
M is at 5 N is at 7.7 so
7.7-5=2
2. AC measure is 36 and BC measure is 9 so 36-9=27
Answer:
1. 2.72. 27Step-by-step explanation:
1. 7.7 - 5 = 2.72. 36 - 9 = 27[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Sal washed 5 cars in 50 minutes. What is the unit rate?
Answers
Answer:
since Sal washed 5 cars in 50 minutes, we can express his time as follow:
[tex] \frac{5 \: cars}{50 \: minutes} [/tex]
simplifying it by diving by 5, we get:
[tex] \frac{1 \: car}{10 \: minutes} [/tex]
Thus the rate will be 10 minutes per car (10 min/car)
Answer:
10 mins / car
Step-by-step explanation:
50 / 5 = 10
1) With the help of given figure.
a) Write the names of minor and major arcs.
b) If mzAOQ = 70° then find m(arcAYQ) and
m(arcAXQ).
Answers
[tex]\\ \Large\sf Minor\:Arc\longmapsto AOQ[/tex]
[tex]\\ \Large\sf Major\:arc\longmapsto AXQ[/tex]
Now
[tex]\\ \Large\sf\longmapsto m<AOQ=70°[/tex]
[tex]\\ \Large\sf\longmapsto m<AXQ=2m<AOQ[/tex]
[tex]\\ \Large\sf\longmapsto m<AXQ=2\times 70[/tex]
[tex]\\ \Large\sf\longmapsto m<AXQ=140°[/tex]
Find the missing side lengths
Answers
Answer:
Download gauthmath it will help
Jesus loves u
have a awesome day don’t let anyone bring u down♥︎
Prove that angle ABD is congruent to angle CBE
with solution!
Answers
ANSWER:
the conditions are the angle a is equal to angle c and ab = bc . Hence we need to prove that the triangles is congruent to the triangle cbe. ... angle A =angle C and AB=BC.
A correct description of the line defined by y-6= -1/2(x+7) is
a. it is a line through (-7,6) with a slope of 1/2
b. it is a line through (7,-6) with a slope of -1/2
c. it is a line through (-7,6) with a slope of -1/2
d. it is a line through (7,-6) with a slope of 1/2
Answers
Answer:
C
Step-by-step explanation:
The correct answer is C
Because taking the point to be (a,b)
[tex]y - b = m(x - a) \\ \: is \: the \: \: equation \: \: of \: \: a \: line[/tex]
sons
Find the values of a and b in the rhombus, Solve for the value of c, it ca tb.
3b+4, (5a-5)
A
Question Progress
(14a +20)
13b-9
A5
OB.4.7
Oct
0,63
Pest Selection
2
30
13'5 Sunny
Answers
Answer:
D
Step-by-step explanation:
The sides of a rhombus are congruent , then
13b - 9 = 3b + 4 ( subtract 3b from both sides )
10b - 9 = 4 ( add 9 to both sides )
10b = 13 ( divide both sides by 10 )
b = 1.3
The diagonals are perpendicular bisectors of each other , then
14a + 20 = 90 ( subtract 20 from both sides )
14a = 70 ( divide both sides by 14 )
a = 5
Thus c = a + b = 5 + 1.3 = 6.3 → D
A game involves correctly choosing the 5 correct numbers from 1 through 18 that are randomly drawn. What is the probability that a person wins the game, if they enter a) once? b) 7 times with a different choice each time?
Answers
Answer:
[tex]=\frac{1}{8568}\ = .00011\\\ =\frac{7}{8568} = .00081[/tex]
Step-by-step explanation:
[tex]5/18\cdot \:4/17\cdot \:3/16\cdot \:2/15\cdot \:1/14=\frac{1}{8568}[/tex]
ILL MARK BRAINIEST IF U DO THIS RIGHT!!!
Answers
Answer:
D because even though the flat fee is 150 paying 5$ a hour it will cost less
