l
A ball is projected upward from ground level. After (t) seconds, its height in feet is
given by the function “h(t) = -16(t)^2 + 112(t)” After how many seconds will the ball reach a height of 192 ft for the first time?

Answers

Answer 1

Answer:  3 seconds

Step-by-step explanation:

h(t) = -16(t)^2 + 112(t)

Set h(t) = 192 feet

192 = -16(t)^2 + 112(t)

0 = -16(t)^2 + 112(t) - 192

Solve using the quadratic formula:  There are two solutions, 3 and 4 seconds.  Three seconds is the first time it reachers 192 feet,  At four seonds it's on its way down.

The function can also be graphed (attached).

LA Ball Is Projected Upward From Ground Level. After (t) Seconds, Its Height In Feet Isgiven By The Function

Related Questions

Jerry eats one-fourth of a pecan pie. Sally eats
one-fifth of the same pie. Rose comes home from
school and eats two-tenths of the same pie. How
much of the pie has been eaten?

Answers

Answer:

13/20  or .65

Step-by-step explanation:

1/4 + 1/5 + 2/10  = Total amount eaten

Find a common denominator  is   20

1/4 =  5/20

1/5 =  4/20

2/10 = 4/20

           13/20

I am exhausted could someone pls help me 3(-2+-8+9)divided by 4

Answers

Answer: you can use a calculator, -0.75

Step-by-step explanation:

-2+-8+9

The + and - make a - so you can simplify to

-2-8+9

-1x3

-3/4

Laura wants to place a flowerpot every 3/4 meters along the path from the gate to the main entrance of her home the path is 12 meters long how many flowerpots will she need

Answers

Answer:

16 pots

Step-by-step explanation:

Laura wants to place a pot every 3/4 (0.75)m

The length she wants to cover is 12m

So all we must do is divide

1) 12/0.75 (I converted the fraction to a decimal cause its easier)

2) 12/0.75 = 16

3) which means for each 3/4 there will be one pot so there is 16 pots in total

Does the following relationship represent a function?

y = 5x

Answers

Answer:

yes because it does not have a exponent

Step-by-step explanation:

The ratio of boys to girls in a class is 3:5. There are 40 students in class.How many students are boys?

Answers

Answer:

1. 40/8 = 5

2. 3x5 : 5x5

3. 15:25

There are 15 boys to 25 girls in the class

Step-by-step explanation:

What equation represents this sentence?

0.8 increased by a number is 4.5.


4.5 + n = 0.8

0.8n = 4.5

0.8 + n = 4.5

4.5n = 0.8

hurry ill give brainliest

Answers

Answer:

It is 0.8 + n = 4.5 that is the right answer

Answer: 0.8 plus n equals 4.5

Step-by-step explanation:

There are 8 math classes in 7th grade. Seven are equally sized and the 8th class has 32 students. If there are a total of 221 in the 7th grade, how many are in each of the equally sized bath class?

Answers

Answer:

27

Step-by-step explanation:

221-32=189189/7=27

Solve pls brainliest

Answers

Answer:

$180

Step-by-step explanation:

simple interest means that interest is paid every year on the original $200

To find 3% of 200, you multiply 200(.03) = $80.

$200(3)=$60

Since the interest is the same, 3(60) = $180

Hope this helps

Dana filled the container with 3.5 liters of water. Her mother used 0.75 liters of water for cooking and 1.25 liters for a drink. How much water was left in the container?

Answers

Step-by-step explanation:

3.5 liters were originally in it.

then 0.75 liters were taken out.

that left 2.75 liters.

then 1.25 liters were taken out.

that left 1.5 liters in the container.

Simplify:
M = 4/9 + 11/72
N = 8/15 - 1/3
O = 8/7 + 9/35
P = 3 - 2/10
Q = 11/15 + 1/6
R = 3/4 - 7/10​

Answers

Step-by-step explanation:

M = 4/9 + 11/72

M = (4 x 8) / (9 x 8) + 11/72

M = 32/72 + 11/72

M = 43/72

N = 8/15 - 1/3

N = 8/15 - (1 x 5) / (3 x 5)

N = 8/15 - 5/15

N = 3/15

N = (3 x 1) / (3 x 5)

N = 1/5

O = 8/7 + 9/35

O = (8 x 5) / (7 x 5) + 9/35

O = 40/35 + 9/35

O = 49/35

O = (7 x 7) / (7 x 5)

O = 7/5

P = 3 - 2/10

P = (3 x 10) / (1 x 10) - 2/10

P = 30/10 - 2/10

P = 28/10

P = (2 x 14) / (2 x 5)

P = 14/5

Q = 11/15 + 1/6

Q = (11 x 2) / (15 x 2) + (1  x 5) / (6 x 5)

Q = 22/30 + 5/30

Q = 27/30

Q = (3 x 9) / (3 x 10)

Q = 9/10

R = 3/4 - 7/10

R = (3 x 5) / (4 x 5) - (7 x 2) / (10 x 2)

R = 15/20 - 14/20

R = 1/20.

Help me guys, please and thank u

Answers

Answer:

¡¡ Only

Step-by-step explanation:

-8-2x < - 4

-2x < - 4+8

-2x < 4

x > - 2

Let x = √(4-√7) and y = √(4+√7), then value of (x-y/√3)² + (x²y+xy²)²+(x+y)² is -​

Answers

Given info:- X = √(4-√7) and Y = √(4+√7)

Find the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²?

Explanation:-

Given that:

X = √(4-√7)

It can be written as

On multiplying and dividing by 2 in the squre root

⇛ X = √[2{(4-√7)}/2]

⇛ X =√[(8-2√7)/2]

⇛ X =√[{(7+1)-2√7{/2]

⇛ X =√[{(√7)²+(√1)²-2(√7)(√1)}/2]

It is in the form of a²-2ab+b²

Where , a = √7 and b = √1

⇛X = √[{(√7-√1)}²/2] [(a-b)² = a²-2ab+b²]

⇛ X = (√7-√1)/√2

⇛ X = (√7-1)/√2 — — — — Eqⁿ(1)

and

Y = √(4+√7)

It can be written as

On multiplying and dividing by 2 in the squre root

⇛ Y = √[{2(4+√7)}/2]

⇛ Y =√[(8+2√7)/2]

⇛ Y =√[{(7+1)+2√7}/2]

⇛ Y =√[{(√7)²+(√1)²+2(√7)(√1)}/2]

It is in the form of a²+2ab+b²

Where , a = √7 and b = √1

⇛Y = √[{(√7+√1)}²/2] [(a+b)² = a²+2ab+b²]

⇛ Y = (√7+√1)/√2

⇛ Y = (√7+1 )/√2 — — — — Eqⁿ(2)

On adding Eqⁿ (1) & Eqⁿ(2)

→ X+Y = (√7-1)/√2+(√7+1)/√2

→ X+Y = (√7-1+√7+1)/√2

→ X+Y = (2√7 )/√2

→ X+Y = (√2×√2×√7)/√2

→ X+Y = √2×√7

→ X+Y = √14 — — — — Eqⁿ(3)

On Subtracting Eqⁿ(2) from Eqⁿ(1)

→ X-Y =[(√7-1)/√2]-[(√7+1)/√2]

→ X-Y =[ (√7-1 )-(√7+1)]/√2

→ X-Y = (√7-1-√7-1)/√2

→ X-Y = (-1-1)/√2

→ X-Y = -2/√2

→ X-Y = -(√2×√2)/√2

→ X-Y = -√2 — — — — Eqⁿ(4)

On multiplying Eqⁿ(1)& Eqⁿ(2)

→ XY = [(√7-1)/√2][(√7+1)/√2]

→ XY = (√7-1)×(√7+1)/(√2×√2)

→ XY = [(√7)²-(1)²]/(2) [(a+b)(a-b) = a²-b²]

→ XY = (7-1)/2

→ XY = 6/2

→ XY = 3 — — — — — Eqⁿ(5)

Now,

The value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²

It can be written as

⇛[(X-Y)²/3] + [ XY(X+Y) ]²+(X+Y)²

From Eqⁿ(3), Eqⁿ(4)& Eqⁿ(5)

⇛ [(-√2)²/3] + [ 3(√14)]²+(√14)²

⇛ (2/3) + (9×14)+(14)

⇛ (2/3)+(126)+(14)

⇛ (2/3)+140

⇛ [2+(3×140)]/3

⇛(2+420)/3

⇛ 422/3

Therefore, the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)² is 422/3.

If you have any doubt, then you can ask me in the comments.

before going on the last part of her journey. Hannah needed to rest and eat alot of the food. she ate 2 7/12kg of meat and another 4/12kg of fruits how much food did she eat in total?​

Answers

Answer: 2 11/12 kg

Step-by-step explanation:

add the fractions and the the two(2)

Pls someone help me!!

Answers

Answer:

116°

Step-by-step explanation:

Interior angles in a triangle are added up to 180°.

Therefore,

(14x + 4)° + (5x - 1)° + (2x + 9 )° = 180°

Now you can solve this equation and find the value of x.

[tex](14x + 4) + (5x - 1) + (2x + 9 ) = 180[/tex]

[tex]14x+4+5x-1+2x+9=180[/tex]

[tex]14x+5x+2x+4-1+9=180[/tex]

[tex]21x+12=180[/tex]

[tex]21x=180-12[/tex]

[tex]21x=168[/tex]

[tex]\frac{21x}{21}= \frac{168}{21}[/tex]

[tex]x=8[/tex]

Now let's find the value of angle A

14x + 4

14 × 8 + 4

116°

22 divided by a number s in algebraic expressions

Answers

Answer:

22 divided by a number s

Step-by-step explanation:

[tex] \frac{22}{s} [/tex]

what's the slope and y-intercept for -30+10y=-2x ?

Answers

Answer:

XDDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

LOL

If my dad drives at a rate of 120 miles every 2 hours, how many miles will he drive in 12 hours? A 720 miles B 320 miles C 120 miles D 600 miles. please help me....

Answers

Answer:

A: 720 miles

Step-by-step explanation:

Since in 2 hours he drives 120 miles we can calculate the rate for 1 hour by diving the miles by 2

1 hour he will have driven 60 miles

Since we are looking for how much would be driven in 12 hours we multiply 60 by 12. Giving us 720 miles in 12 hours

write the following equations in the statement form...

1) 2a + 7 =15

pls ans fast but as statement form​

Answers

Answer:

4 or 2 times unknown number added with 7 it gives 15

Step-by-step explanation:

2a+7=15

2a=15-7

2a=8

a=4

Answer:

2a+7=15

2a=15-7

2a=8

2a/2=8/2

a=4

At the movie theatre, child admission is $6.50 and adult admission is $9.60. On Monday, 129 tickets were sold for a total sales of $1071.00. How many adult tickets were sold that day?

Answers

129 tickets = $1071
1071/129 = 8.30
75 adult tickets + 54 child’s tickets = $1071 so 75 adult tickets were sold that day

Zach goes on holiday. The ratio of the costsflights: hotels = 3 : 8. The cost of the flightsis $861. Workout the total cost of flightsand hotels.

Answers

total cost of the hotels is 2,296

Answer:

hahshdbdndjksosondndndud

Of the pies that Lorenzo's Pie Shop sold last month, 1/2 were blueberry pies and 2/5 were blackberry pies. What fraction of the pies sold were either blueberry or blackberry?

Answers

Assuming that blueberry blackberry combination pies aren’t a thing,

Then the answer is 9/10

This problem involves adding fractions with different denominators. For this type of problem you can change the value of the denominators in each fraction to equal the same thing. Since they are fractions, the overall value will not change if you multiply the numerator and denominator by the same number.
We add 1/2 of the blueberry and 2/5 of the blackberry this will give us 9/10.Firstly we found the LCM of their denominator which is 10,you divide the ten by the denominator of 1/2 which is 2 and multiply by the numerator which is 1,it will make 5 and we put the plus sign you repeat the same process with 2/5 which will give you 4.You then add 4+5 which will make 9 the numerator and 10 as the denominator.

Mark me as brainliest plsssss
Hope I help

if i can get 4 tastykake snack cakes. 4 for $5.00 how much would it be if i get 2 tastykake snack cakes?

Answers

Answer:

2.50

Step-by-step explanation:

If 4= $5.00

then divided 5.00 by 4=1.25

so 1 = 1.25

1.25x2=2.50

Therefore 2 tastykake snack cakes = $2.50

Answer:

The answer is 2.5

Step-by-step explanation:

5 divided by 4 = 1.25

1.25 times 2 = 2.5

brainliest :)

Can anyone help me? asap if possible

Answers

Answer:

B) CD

Step-by-step explanation:

Perpendicular means a line that bisects the other at 90°.

In this case, you are trying to find a perpendicular line to line BC, which can be two choices, AB & DC.

In this case, B) CD is your answer, as it is the only one that shows up (AB does not).

~

Answer:

segment CD

Step-by-step explanation:

Perpendicular segments form a 90 degree angle (aka right angle). Segment BC appears to be perpendicular to both AB and CD. I use the phrasing "appears to be" since it's not entirely clear if they actually are perpendicular. The use of a square angle marker would indicate the segments form a 90 degree angle. Such a symbol is missing.

Hope it help and if it its correct please give brainliest  

Stay Safe and healthy

Thank You

PLEASE HELP

Which of the equations below contains the two points listed? (5,9) (6,9) A x=-9 B x=9 C y=-9 D y=9

Answers

Answer: y=9

Step-by-step explanation:

both points have 9 as the y coordinate

the perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction​

Answers

Answer:

4.8

Step-by-step explanation:

Not sure if this is what you're asking but because it is equilateral each side is the same. So you divide 14.4 by 3, to get 4.8.

can the pythagorean theorem be used for any triangle

Answers

Answer:

No, only for right angle Δ

Step-by-step explanation:

It is only used for right angle triangles

1) A covered hot cup of coffee will cool to the temperature of the room as governed by a physics principle known as Newton's Law of Cooling. The data from an experiment is shown in the table. If the room temperature is 73 degrees Fahrenheit, which statement is correct?A) The relationship could be linear with c ≈ 83oF.B) The relationship could be linear with c ≈ 63oF.C) The relationship could be exponential with c ≈ 83oF.D) The relationship could be exponential with c ≈ 63oF.

Answers

Answer:

f(t) = 80 + 120 e^(-0.08 t)

Step-by step explanation:

The exponent is negative, so this is an example of exponential decay.  As t increases, the exponent becomes more and more negative.  So e^(-0.08 t) gets closer and closer to 0.  Meaning f(t) gets closer and closer to 80.

PLEASE HELP (especially on B)

Any 3 T-shirts for $14.50
$3.99
$6.99
$5.99
A) Tom bought these three T-shirts at the sale price of $14.50. How much money did he save compared
to the original total price of the T-shirts?
B) What percentage of the total price did Tom save?

Answers

He saved 10.59 bucks

Explain how to use a model to represent the division of two fractions.
Please help with this it's due in 20 mins!

Answers

Answer:

You can use the model to show the fractions alongside each other.

Step-by-step explanation:

87.2- somthing=61.2

what is the awnswer

Answers

Answer:

26.0

Step-by-step explanation:

87.2-61.2= something

something is= 26

26
EXPLANATION
87.2-61.2=26.0
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