Answers
Answer:
It landed at a height of 14 feet
Step-by-step explanation:
Given
[tex]y = -\frac{1}{8}x^2 +4x[/tex] --- Path of a t-shirt
[tex]3y = 2x - 14[/tex] --- height of bleachers
Required
Height when t-shirts land in bleachers
[tex]3y = 2x - 14[/tex]
Make y the subject
[tex]y = \frac{2}{3}x - \frac{14}{3}[/tex]
Substitute [tex]y = \frac{2}{3}x - \frac{14}{3}[/tex] in [tex]y = -\frac{1}{8}x^2 +4x[/tex]
[tex]\frac{2}{3}x - \frac{14}{3} = -\frac{1}{8}x^2 +4x[/tex]
Multiply through by 24
[tex]16x- 112 = -3x^2 +96x[/tex]
Express as:
[tex]3x^2 + 16x -96x- 112 = 0[/tex]
[tex]3x^2 -80x- 112 = 0[/tex]
Using a calculator:
[tex]x = 28[/tex] or [tex]x = -\frac{4}{3}[/tex]
x can not be negative:
So:
[tex]x = 28[/tex]
Substitute [tex]x = 28[/tex] in [tex]y = -\frac{1}{8}x^2 +4x[/tex] to calculate the height it landed
[tex]y = -\frac{1}{8} * 28^2 + 4 * 28[/tex]
[tex]y = 14[/tex]
Related Questions
Please help me with the question
Answers
Answer:
4(7+y) and 4·7+4·y
Step-by-step explanation:
4(7+y)= 28+4y
4·7+4·y= 28+4y
I need help please anyone help me???????
Answers
Complete the comparison : 17>?
Answers
Answer:
17>16
Step-by-step explanation:
Answer:
17 is greater than or (>) than any number lower than 17 :)
Step-by-step explanation:
For example, 17>16.. 17> 15, or 17> 14...ect.
Hope this helps! :)
Have a nice day <3
AY
1500-
1400
1300
Optional: How much compound
interest is earned at 35 years?
(looks to be in the middle)
compound interest
Total amount (dollars)
1200
1100
1000
900
800
700
600
500
400
300
200
100
Optional: How much simple
interest is earned at 35 years?
(looks close to the whole number)
simple interest
(a) How much more compound
interest than simple interest is
earned after 35 years?
0
5 10 15 20 25 30 35 40 45 50
Number of years
Answers
Answer:
How much compound interest is earned at 35 years? 850
How much simple interest is earned at 35 years? 600
How much more compound interest than simple interest is earned after 35 years? 250
Step-by-step explanation:
-3/4 ( 8y - 12 ) + 1/5 ( 15y - 30 )
Answers
-3(y-1)
PRETTY MUCH A FREE BRAINLIEST IF UR RIGHT, GOOD LUCK :D. Value of x is greater than or equal to 14
Options:
x>14
x<14
x≥14
x≤14
Answers
Answer:
3rd choice down. . . . . . .
x≥14 plz give me brainlyest
A triangle has a base of (x+9) feet and a height of (4x+4). The expression below represents the area of the triangle.
12(x+9)(4x+4)
Which of the following choices represents the simplified form of the expression above?
Select one:
A. 4x2+36x+36
B. 2x2+80x+18
C. 2x2+18x−18
D. 2x2+20x+18
Answers
Answer:
I think the answer would be B
Step-by-step explanation:
Because we multiply, distribute and combine like terms
During a competition, numismatist Aditi has been given Rs. 200 in Rs.1 denominations. The judge asks Aditi to allocate the Rs. 1 denominations into a number of pouches such that any amount required between Rs.1 & Rs. 200 can be given by giving out a certain number of pouches without opening them. Aditi thinks and asks the judge to give her 'x' number of pouches to keep the money, where 'x' is the minimum number of bags required to keep the total money. Can you guess the value of 'x'?
Answers
9514 1404 393
Answer:
8
Step-by-step explanation:
If the bags can either be given or not, each bag can assume one of two states. In order for there to be 200 possible combinations of items in one of two states, there must be at least log2(200) = 7.64 items. The minimum number of bags is x = 8.
_____
The contents of the 8 bags will be Rs. 1, 2, 4, 8, 16, 32, 64, 73.
A lottery game requires that 3 different numbers are picked from 1 to 9 if someone picks all 3 winning numbers the person wins 9 million complete parts a and b
Answers
Pls help I’m failing I need a good grade
Answers
The answer is B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The width of the rectangle below is 9 cm, and its length is 17
cm. What is its area?
Its area is _ cm?
Answers
Answer:
Area=153 cm²
Step-by-step explanation:
Length × Width= Area
17×9=153
Answer:
153
Step-by-step explanation:
Area= length x width
area= 17 x 9
Which of the following points are part of the solution set to the inequality
y ≤ −1\3 x +7
A.
(-9, 1)
B.
(3, 13)
C.
(12, -4)
D.
(3, 7)
Answers
Answer:
45
St45-by-step explanation:
If you are given the diameter, how can you calculate the radius
Answers
Answer:
divide the diameter by 2
Determine the perimeter of a rectangle that is 10 inches long and 9 inches wide.
inches
Answers
Answer:
38
Step-by-step explanation:
2(l + b)
2(10 + 9)
2(19)
2*19
38
please help me, I’m very confused
Answers
Step-by-Step:
(This is a right angle which = 90°)
Set an equation up:
(x-4)+(2(x+6)) = 90
x-4+2x+12 = 90
3x+8 = 90
3x=82
x = 27.3333333333
x= 27.33
solve the equation for the value of x; 8x + 12 = 52.
a) x = 12
b) x = -5
c) x = 5
d) x = 52
Answers
Answer:
5
Step-by-step explanation:
8x + 12 = 52
move constant to right
8x=52-12
subtract numbers
8x=40
divide both sides
x=5
Compute the discriminant D(x,y)D(x,y) of the function. f(x,y)=x3+y4−6x−2y2+3 f(x,y)=x3+y4−6x−2y2+3 (Express numbers in exact form. Use symbolic notation and fractions where needed.) D(x,y)=D(x,y)= Which of these points are saddle points? (2⎯⎯√,0)(2,0) (2⎯⎯√,1)(2,1) (−2⎯⎯√,1)(−2,1) (2⎯⎯√,−1)(2,−1) (−2⎯⎯√,−1)(−2,−1) (−2⎯⎯√,0)(−2,0) Which of these points are local minima?
Answers
The discriminant of function [tex]f(x,y)=x^3 + y^4 - 6x-2y^2+3[/tex] is 72xy³ – 24x and points (√2,0), (-√2, 1) and (-√2, -1) are saddle point, and points (√2, 1) and (√2, -1) are local minima.
A function is an expression in terms of one or more variable.
If f(x, y) is a two-dimensional function that has a local extremum at a point ([tex]x_o, y_o[/tex]) and has continuous partial derivatives at this point, then [tex]f_x (x_o, y_o)=0[/tex] and [tex]f_y (x_o, y_o)=0[/tex]. The second partial derivatives test classifies the point as a local maximum or local minimum.
Then
1. If D > 0 and [tex]f_{xx}(x_o, y_o) > 0[/tex] , the point is a local minimum.
2. If D > 0 and [tex]f_x_x (x_o, y_o) < 0[/tex], the point is a local maximum.
3. If D < 0, the point is a saddle point.
4. If D = 0, higher order tests must be used.
Given that
[tex]f(x,y)=x^3 + y^4 - 6x-2y^2+3[/tex]
[tex]f_x = 3x^2-6[/tex]
[tex]f_x = 0[/tex] implies that [tex]x = \pm\sqrt2[/tex]
[tex]f_y= 4y^3-4y[/tex]
[tex]f_y= 0[/tex] implies that y = 0; y = [tex]\pm[/tex]1.
Thus, the critical points are (√2,0), (√2,1), (√2, -1);(-√2,0), (-√2,1); (√2, -1).
[tex]f_{xx} = 6x[/tex]; [tex]f_y_y = 12y^3 - 4[/tex], [tex]f_{xy}= 0[/tex]
D(x, y) = [tex]f_{xx}f_{yy} - f_{xy}^2[/tex]
= 6x × (12y³ – 4)
D(√2, 0) = -24√2 < 0 implies (√2,0) is a saddle point.
D(√2, 1) = 48√2 > 0 ; [tex]f_{xx}(2, 1) = 6\sqrt2 > 0[/tex] implies (√2, 1) is local minimum.
D(√2, -1) = 48√2 > 0; [tex]f_{xx}(2, -1) = 6\sqrt2 > 0[/tex] implies (√2, -1) is local minimum.
D(-√2, 0) = 24√2 > 0; [tex]f_{xx}(-2,0) = -6\sqrt2 < 0[/tex] implies (-√2, 0) is local maximum.
D(-√2, 1) = -48√2 < 0 implies (-√2, 1) is a saddle point.
D(-√2, -1) = -48√2 < 0 implies (-√2, -1) is a saddle point.
Thus, (√2,0), (-√2, 1) and (-√2, -1) are saddle point, and (√2, 1) and (√2, -1) are local minima.
Learn more about functions here:
https://brainly.com/question/31062578
#SPJ4
Find the area of the figure.
= m
(simplify your answer)
Answers
HELPP ASAP PLSS I’ll mark brainliest!!!
Answers
19.214÷13
pls someone help me
Answers
Answer:
1.478
Step-by-step explanation:
Help me out thanks u !!!
Answers
Answer:
116
Step-by-step explanation:
All angles will add up to 360°
So just do 360 -55 -79 -110 = 116
Answer:
The answer is 116 because the sum of angles in a quadrilateral is 360 degrees.
Solve For X
(This is arcs and i could use some help)
Answers
Answer:
x = - 4
Step-by-step explanation:
Since we are looking at a circle, we know that the sum of all arc angles should add up to 360°. This means that the following...
- 32x - 3 = 360 - 85 - 35 - 115
- 32x - 3 = 125
- 32x = 125 + 3
- 32x = 128
x = 128 / (-32)
x = - 4
Please help, will give brainliest! Which is NOT equivalent to this expression? 4(3x^2+6x)
Answers
Please answer this for me
Answers
Answer:
6+p=120
Step-by-step explanation:
p=14 and thats because there are 6 p and 6+14 is 20 right, and 20x6 is 120 :D hope you understood me
What’s the answer to 7x when x=8 I need help please
Answers
Answer:
56
Step-by-step explanation:
7x8=56
Step-by-step explanation:
7(8)
= 56
use tye substitution property
2. Which of the following statements shows the distributive property?
5 + (4 – 2) = 20 – 10
5(4 – 2) = 20 – 10
5 + (4 – 2) = 9 + 3
5(4 – 2) = 9 – 7
PLEASE HELP ME!!! ITS A MONTH PAST DEW! I NEED HELP ASAP!
Answers
The owner of a restaurant is concerned about customers who ask for a water cup when placing an order but fill the cup with a drink from the beverage fountain instead of filling the cup with water. The owner randomly selected 90 people who order a water cup and found that 21 of those customers filled the cup with a soft drink.a. Construct and interpret a 95 percent confidence interval for the proportion of all customers who, having asked for a water cup when placing an order, will fill the cup with a soft drink from the beverage fountain. b. The owner estimates that each customer who asks for a water cup but fills it with a soft drink costs the restaurant $0.35. Suppose that in the month of June 2,500 customers ask for a water cup when placing an order. Use the confidence interval constructed in part (a) to give an interval estimate for the cost to the restaurant for the month of June from the customers who ask for a water cup but fill the cup with a soft drink.
Answers
Answer:
This is very confusing.
Can you try and make this a shorter question for me to answer?
Step-by-step explanation:
Parallelogram WXYZ.
WX = 13x + 15
YZ = 19x - 9
Find the values of x and y.
Answers
Answer:
Step-by-step
sum of the adjacent angles of parallelogram is supplementary.
Therefore,
Q + R = 180°
4y+7 + 10y-37 = 180°
14y - 30° = 180°
14y = 210°
y = 210°/14
y = 15°
Could not found X in the question.
Answer: 3.27
Step-by-step explanation:
The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $480 and standard deviation $20. How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05
Answers
Answer:
$512.90 should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Normally distributed with mean $480 and standard deviation $20.
This means that [tex]\mu = 480, \sigma = 20[/tex]
How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05?
This is the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 480}{20}[/tex]
[tex]X - 480 = 1.645*20[/tex]
[tex]X = 512.9[/tex]
$512.90 should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05
HELPP!! I report wrong answers!!