The function H(t) = −16t2 + 90t + 50 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 28 + 48.8t, where g(t) is the height, in feet, of the object from the ground at time t seconds.Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points)

Part B: Explain what the solution from Part A means in the context of the problem. (4 points)

Answers

Answer 1

Answer: Given:
h(t) = -16t² + 90t + 50
g(t) = 28 + 48.8t

h(1) = -16(1²) + 90(1) + 50 = 124
h(2) = -16(2²) + 90(2) + 50 = -64 + 180 + 50 = 166
h(3) = -16(3²) + 90(3) + 50 = -144 + 270 + 50 = 176
h(4) = -16(4²) + 90(4) + 50 = -256 + 360 + 50 = 154

g(1) = 28 + 48.8(1) = 76.80
g(2) = 28 + 48.8(2) = 125.60
g(3) = 28 + 48.8(3) = 174.40
g(4) = 28 + 48.8(4) = 223.20

Between 3 seconds is the answer... though it is not exactly equal but they are nearer in value compared to other number of seconds.

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Answers

Answer: 2/3 or 0.6

Step-by-step explanation:

If u is an algebraic expression and c is a real number such that c>0, then the equation |u|>c is equivalent to a. u>-c or u>c. b. u<-c or u>c. c. u<-c or u

Answers

Answer: u<-c or u>c (choice B)

Explanation

Consider the example |x| > 5.

On a number line this will mean either x > 5 or x < -5. We're looking for values of x such that they are more than 5 units away from 0.

A value like x = -7 fits the description (since it's 7 units away from 0). While something like x = 1 isn't a solution.

Pistachios were priced at 3 pounds for $ 6.99. (a) what were the price per pound? (b) how much would 10 pounds of pistachios cost?

Answers

just do 6.99 divided by 3
(a)$2.33

times your answer in (a) by 10
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According to the table listing average daily expenses for a tourist by country based on high and medium categories, Brazil has a range from $12.25 to $18.33, and Greece has a range from $9.48 to $16.55. Which of the two countries has the larger difference between categories?a.Greece

b.Brazil

Answers

Answer:

Option a. Greece.

Step-by-step explanation:

According to the table listing average daily expenses for a tourist by country based on high and medium categories,

Brazil has a range from = $12.25 to $18.33

Greece has a range from = $9.48 to $16.55

To find out the difference in range, first we get range of both the countries.

by subtracting lowest from highest

Brazil = $18.33 - $12.25 = 6.08

Greece = $16.55 - $9.48 = 7.07

= 7.07 > 6.08

Therefore, Greece has the larger difference between categories.

Option a. Greece is the correct answer.

that should be answer no.a

18.33-12.25=6.08
16.55-9.48=7.07
7.07 > 6.08
so the answer should be no.a

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Answers

$width : w \n length : \ l = w + 8 \n A = 105 \ m^2 \n \nA= w \cdot l \n \nw(w+l)=105 \n \nw^2+w = 105 \n \nw^2+w-105 =0 \n \n(w+15)(w-7)=0 \n \nw+15 =0 \ \ or \ \ w-7 = 0 \n \nw = -15 \ \ or \ \ w=7 \n \n width \ cant \ be \ negative, \ so \n \n w = 7 \ and \ l = w+8 = 7 +8 =15 \n \nchek : \n \n A=w\cdot l \n \nA=7\cdot 15=105 \ m^2$

$l\ \rightarrow\ the\ length\nw\ \rightarrow\ the\ width \n\nl=w+8\ \ \ and\ \ \ l\cdot w=105\ \ \ and\ \ \ l>0,\ w>0\n\n(w+8)\cdot w=105\ \ \ \Rightarrow\ \ \ w^2+8w=105\n\n w^2+2\cdot4w+4^2=105+4^2\n\n (w+4)^2=105+16\ \ \ \Rightarrow\ \ \ (w+4)^2=121\n\nw+4=11\ \ \ or\ \ \ w+4=-11\n\nw=7\ \ \ \ \ \ \ \ \ \ or\ \ \ w=-15<0\n\nw=7\ \ \ \Rightarrow\ \ \ l=7+8=15\n\nAns.\ the\ length\ is\ 15\ m\ \ and\ \ the\ width\ is\ 7\ m.$

Show a way to count from 170 to 410 using tens and hundreds. circle at least 1 benchmark number

Answers

Okay, so we start at 170

170

then we add 30 to reach the number 200

170+30=200

then we add 200 to reach the number 400

200+200=400

then we add 10 to reach 410

400+10=410

The benchmark numbers are bolded...

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