Answer:
a) 30feet
b) 9.12feet
Step-by-step explanation:
a) Given the path of the ball is modeled by the equation y=-0.02(x-18)²+12, where;
x is the ball's horizontal distance in feet from Amaya's position
y is the distance in feet from the ground to the ball.
The ball will be at the maximum height when dy/dx = 0
Differentiate the function:
dy/dx = 2(-0.02)(x-18)^(2-1)+0
dy/dx = -0.04(x-18)
Equate the resulting expression to zero and find x as shown;
-0.04(x-18) = 0
Open the parentheses
-0.04x+0.04(18) = 0
-0.04x+0.72 =0
-0.04x = -0.72
x = -0.72/-0.04
x = 18ft
Hence the ball is 18ft away from Amaya when it is at its maximum height
b) To get the balls height y when x = 30, we will substitute x = 30 into the equation given and calculate the value of y as shown:
y=-0.02(x-18)²+12
y = -0.02(30-18)²+12
y= -0.02(12)²+12
y = -0.02(144)+12
y = -2.88+12
y = 9.12 feet
Hence the Ball's height is 9.12feet when it crosses the net at x = 30.
Given the formula for the arithmetic sequence, an = 6+ (n - 1)3, give the first 4 terms of the
sequence.
19
find the following:
[tex]a(n) = 6 + 3(n - 1)[/tex]
[tex]a(1) = 6 + 3(1 - 1)[/tex]
[tex]a(1) = 6 + 3 \times 0[/tex]
[tex]a(1) = 6 + 0[/tex]
[tex]a(1) = 6[/tex]
_________________________________
[tex]a(2) = 6 + 3(2 - 1)[/tex]
[tex]a(2) = 6 + 3 \times 1[/tex]
[tex]a(2) = 6 + 3 [/tex]
[tex]a(2) = 9[/tex]
_________________________________
[tex]a(3) = 6 + 3(3 - 1)[/tex]
[tex]a(3) = 6 + 3 \times 2[/tex]
[tex]a(3) = 6 + 6[/tex]
[tex]a(3) = 12[/tex]
_________________________________
[tex]a(4) = 6 + 3(4 - 1)[/tex]
[tex]a(4) = 6 + 3 \times 3[/tex]
[tex]a(4) = 6 + 9[/tex]
[tex]a(4) = 15[/tex]
urgent! please help!
Answer: (0,3)
Step-by-step explanation: The y-intercept is where x is 0.
Please show all work
Answer:
w = 19/15 or 1 4/15
Step-by-step explanation:
11/15 = w-(8/15) // - w-(8/15)
11/15-w+8/15 = 0
19/15-w = 0 // - 19/15
-w = -19/15 // * -1
w = 19/15
w = 19/15
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Swap~sides~so~that~all~variable~terms~are~on~the~left~hand~side:[/tex]
[tex]\bold{\frac{11}{15} =w-\frac{8}{15}}~=~\bold{w-\frac{8}{15}=\frac{11}{15} }[/tex][tex]2.)~Since~\frac{11}{15} ~and~\frac{8}{15}~have~the~same~denominator,~add~them~by~adding~their~numerators:[/tex]
[tex]\bold{w=\frac{11+8}{15}~=~\frac{19}{15}}[/tex]______________________________
[tex]\bold{Answers:}[/tex]
[tex]Improper~Fraction~Form:\bold{w=\frac{19}{15}}[/tex][tex]Mixed~Number~Form:\bold{w=1\frac{4}{15}}[/tex][tex]Decimal~Form:\bold{w=1.266666667}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]
Which ordered pair is a solution of the equation? y= 4x+9
A: Only (−3,3)
B: Only (−2,2)
C: Both (-3,3) and (-2,2)
D: Neither
Answer:
It's D, neither
Step-by-step explanation:
What is T?
3/8=t-1/8
Answer:
t = 0.5
Step-by-step explanation:
sence you just have to get rid of -1/8 you just have to inverse istead of -1/8 you do +1/8 to the other side and by doing that you are goving to leave t open
pls help with the picture above!
Answer:
Distance=y•x
Step-by-step explanation:
You need to multiply the time by the distance to get the total distance e oer hour
The Smith family has a circular garden with a diameter of 22 feet. They cover the garden with mulch. The cost of the mulch is $1.25 per square foot. To the nearest dollar, how much will it cost to cover the garden with mulch?
Answer: 27.5
Step-by-step explanation:
Answer:
it will cost $475
Pls someone help it’s my last question
Answer:
A
Step-by-step explanation:
42-34=8
3/4
6/8-1/8=5/8
8+5/8= 8 5/8
Answer:
A) 8 [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
helpppp me plz any help would work :)
Answer:
2d+3 dollars
Step-by-step explanation:
the second one 2d+3
If the figure below is rotated a certain number of degrees,
the transformed figure will coincide with overlap) the
original.
Which of these rotations will not result in the transformed
figure coinciding with the original?
288°
90°
72°
-72°
PLEASE HELP MEE!!!!!! :)))))
Answer:
B
Step-by-step explanation:
Question 5 of 10
Which points are separated by a distance of 7 units?
O A (1,3)
O B. (5,7)
O C. (3,5)
O D. (9.4)
(24)
SUBMIT
Answer:
d
Step-by-step explanation:
cause 9-2 is 7 so your answer is d
Which value of b would make x²+bx−20 factorable?
Answer:
x^2-bx-20
Step-by-step explanation:
"19" will be the value which make the equation "[tex]x^2+bx-20[/tex]" factorable.
The given equation is
→ [tex]x^2+bx-20[/tex]
By putting "19" in the above equation, we can solve the equation.
→ [tex]x^2+19x-20[/tex]
By applying factorization, we get
→ [tex]x^2+20x-x-20[/tex]
By taking common, we get
→ [tex]x(x+20)-1(x+20)[/tex]
→ [tex](x+20)(x-1)[/tex]
Thus the above answer is correct.
Learn more about factorization here:
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Stephanie delivers papers for 2 different paper routes. On one route, she delivers 176 papers. On the second route, she delivers 43 papers. About how many papers does she deliver total? Choose the best estimate. 200 papers 210 papers 220 papers 230 papers
Answer:
Step-by-step explanation:
220 is the answer
176 + 43 = 219
219 is almost 220
Find the slope of the line passing through the points (2, 2) and (2,-4).
Answer:
The slope is (DNE), undefined.
Step-by-step explanation:
given M is the midpoint of RS . RM=x+3 and MS=2x-1 . x=? and RM= ?
Answers:
x = 4
RM = 7
======================================================
Explanation:
The midpoint cuts the larger segment RS in two equal halves, so RM = MS
RM = MS
x+3 = 2x-1
3+1 = 2x-x
4 = x
x = 4
RM = x+3
RM = 4+3
RM = 7
MS = 2x-1
MS = 2*4-1
MS = 7
Both RM and MS are 7 units long, which confirms our answers.
RS = RM+MS
RS = 7+7
RS = 14
m-18=n
This makes no sense this is my 3rd time asking this question
Answer:
m=18+n
Step-by-step explanation:
m + -18 = n simplify
-18 + m = n record the terms
-18 + 18 + m = 18 + n solve
Combine like terms: -18 + 18 = 0, 0 + m = 18 + n, m = 18 + n
Final answer: m = 18 + n
Answer:
IDK but here's what I have found.....
Step-by-step explanation:
Simplifying
m + -18 = n
Reorder the terms:
-18 + m = n
Solving
-18 + m = n
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '18' to each side of the equation.
-18 + 18 + m = 18 + n
Combine like terms: -18 + 18 = 0
0 + m = 18 + n
m = 18 + n
Simplifying
m = 18 + n
After jogging 4 miles, a runner increases his speed to 6 miles per hour which equation models the total number of miles, d, that he has traveled aftert
hours at the fastest speed?
O d = 4t - 6
O d = 4t + 6
O d = 6 - 4
d = 6 + 4
Answer: 11
Step-by-step explanation:
In the first quadrant, you start at (5,3) and move 2 units up What point will you end up on?
Answer: 5,5 have a great day
The translated point (5, 5)
What is translation?A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.
Given:
In the first quadrant, you start at (5,3) and move 2 units up.
Here, up means positive changes in the second value of coordinates
Translation:
(x, y) → (x, y +2)
(5,3) → (5, 3 +2)
(5,3) → (5, 5)
Therefore, the point is (5, 5)
To learn more about the translation in geometry;
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You spent $88 buying two shirts at Macy's along with two scarves that cost $30.00. If s is the cost of the shirt, and the equation representing the purchase is: 2s + 30.00 = 88. What is the cost of the shirt?
Answer:
58
Step-by-step explanation:
Answer:
s = 29
Step-by-step explanation:
Let's solve your equation step-by-step.
2s+30=88
Step 1: Subtract 30 from both sides.
2s+30−30=88−30
2s=58
Step 2: Divide both sides by 2.
2s
2
=
58
2
s=29
Hope this helps!
(s means shirt)
what is the slope of the line -3 -1/3
Answer:
negative slope
Step-by-step explanation:
Plz answer I need help my teacher doesn't explain things good
What is the area of the triangle?
Answer:
6
Step-by-step explanation:
[tex]A=\frac{h_{b} b}{2}[/tex]
Find the missing number! Super easy, just don't feel like doing it, plus busy with other work.
Answer:
y = 1.37
Step-by-step explanation:
30y = 41.10
divide both sides of the equation by 30
30y/30 = 41.10/30
y = 41.10/30
y = 1.37
55 = 18 +0.004x
What is x
Answer:
Your answer is: x = 9250
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Hope this helped : )
someone help me and explain this is really confusing me plzz I'll brainlist u !:)
Answer:
Ok so 25$ for an adult. there are x adults so x times 25 is equals to $25x
13 dollars per child and y children so $13y
$20 for each pensioner and p pensioners so $20p
when adding these notice that none of the variable(latters) are the same so n adding will take place leaving the answer
$25x + $13y + $20p
a) $25x
b) $13y
c) $20p
d) $25x + $13y + $20p
Answer:
a) $25x, this is because if there are x number of adults coming, and $25 is the per adult charge, then irrespective of the number of adults coming this will be the equation. Eg : x = 5 So, $25 * 5 = $125
b) $13y, this is because if there are y number of children coming, and $13 is the per child charge, then irrespective of the number of children coming this will be the equation. Eg : y = 4 So, $13 * 4 = $52
c) $20p , this is because if there are x number of pensioners coming, and $20 is the per pensioner charge, then irrespective of the number of pensioner coming this will be the equation. Eg : p = 2 So, $20 * 2 = $40
d) so, the total will be, = $25x + $13y + $20p
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
Kim writes an estimate for the number 0.00436 as 4x10^3. Explain why this cannot be correct
Answer:
4x10^-3
Step-by-step explanation:
because it was in a deciaml, it has to be negative
The given estimate is not correct. The correct estimate will be 4.36 × [tex]10^{-3}[/tex].
It is given that Kim writes an estimate for number 0.00436 as 4 × 10 ³.
We have to find whether it is correct or not and why ?
What do you mean by decimal fraction ?
A decimal fraction is a number in which the denominator is a multiple of 10 i.e., 10, 100, 1000. etc.
As per the question ;
The decimal number given is 0.00436.
To represent the number in the form of power of 10 , we need to move the decimal 3 places towards right.
and
We know if we move decimal 3 places towards right we need to multiply the resulted number by 10 to the power -3 , i.e., [tex]10^{-3}[/tex]
So,
The correct estimate will be ;
= 4.36 × [tex]10^{-3}[/tex]
Thus , the given estimate is not correct. The correct estimate will be 4.36 × [tex]10^{-3}[/tex].
To learn more about decimal to power of 10 click here ;
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In 2010, the continent of South America had a population of 395, 280, 204 Which of the following is the closest estimate of this number?
O 3 x 10^8
O 4 x 10^7
O 4 x 10^8
O 4x 10^9
Given:
The population of continent of South America in 2010 is 395, 280, 204.
To find:
The closest estimate of this number.
Solution:
We have,
[tex]Population = 395, 280, 204[/tex]
The approximate value of this number is
[tex]Population \approx 400, 000, 000[/tex]
The scientific form of this value is
[tex]Population = 4\times 10^8[/tex]
Therefore, the correct option is C.
As x > - infinity f(x) > infinity and as x > infinity f(x) > infinity
As x > -infinity f(x) > - infinity and as x > infinity f(x) — infinity
Brianlest to whoever helps
Answer:
The first one.
Step-by-step explanation:
The line has a positive slope, so as x reaches infinity, f(x) will also reach infinity, and the same with negative. Hope this helps!
Explain why when you reflect a point across the line y=x, the x−coordinate and the y−coordinate change places, and when you reflect a point across the line y = −x, the x−coordinate and the y−coordinate change places and their signs are changed.
Answer:
The (x,y) is like a mirror reflecting across the plane. When it moves it goes opposite (y,x). We move over the y axis and we get a negitive because of the negative cordinate plane.
Step-by-step explanation: