A rock is thrown straight up from the top of a bridge that is 75 ft high with an initial velocity of 32 ft/s. The height of the object can be modeled by the equation s(t) = -16t2 + 32t + 75. Determine the time(s) the ball is lower than the bridge in interval notation.
In two or more complete sentences, explain why (-∞,0) is not included in the solution.
Answers
The ball is lower than the bridge at the interval [2, 3.385] and (-∞,0) contains negative values
How to determine the time the balloon lower than the bridge?The equation of the function is given as
h(t)= -16t^2 + 32t + 75
The above equation is a quadratic equation
When the balloon is less than the bridge i.e. a height of 75 feet, we have
h(t) < 75
So, we have the following equation and inequality
h(t)= -16t^2 + 32t + 7
h(t) < 75
Next, we plot the equation and inequality on a graph (see attachment)
The equations intersect at
t = 0 and t = 2
Remove when t = 0
t = 2
The ball hits the ground at t = 3.385
So, the interval is [2, 3.385]
Also, (-∞,0) is not included in the solution because time cannot be negative
Read more about quadratic equation at
https://brainly.com/question/28807522
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Related Questions
An African elephant weights 6 tons what is the weight of the elephant in pounds
Answers
Answer:
12,000
Step-by-step explanation:
Answer:
12,000 lbs (pounds)
Step-by-step explanation:
1 ton can be expressed as 2,000 pounds.6 tons would be (2,000 x 6), which is 12,000 pounds.2.
Work out 5.9 + 3.172
Answers
Answer:
9.072
Step-by-step explanation:
Answer:
9.072
Step-by-step explanation:
For this problem, we will simply use the property of 0 and addition to accumulate a sum.
Note, any digit not shown to the right of a decimal can be written with a zero. So 5.9 can be rewritten as 5.900.
Let's perform the addition.
5.900
+ 3.172
-----------
9.072
Using the idea of zeros to the right of the decimal, we are able to trivially complete this sum.
Hence, the answer is 9.072.
Cheers.
Is this set of ordered pAirs a function
(0,2) (3,3) (8,7) (2,2) (3,9)
Answers
Answer:
No, not a function
Step-by-step explanation:
Functions cannot have two or more same domain and different range. (3,3) and (3,9) have same domain and different range.
Need help ASAP please
Answers
Answer:
=
Step-by-step explanation:
Round off 12 and get 10
The height of a parallelogram is 5 feet more than its base. If the area of the parallelogram is 204 feet, find its base and height
Answers
Step-by-step explanation:
Let
base=x
height=x+5
we know that in a parrelogram
[tex]\boxed{\sf Area=base×height}[/tex]
Substitute the values[tex]{:}\rightarrowtail\sf x(x+5)=204 [/tex]
[tex]{:}\rightarrowtail\sf x^2+5=204 [/tex]
[tex]{:}\rightarrowtail\sf x^2=204-5 [/tex]
[tex]{:}\rightarrowtail\sf x^2=199 [/tex]
[tex]{:}\rightarrowtail\sf x=\sqrt {199}[/tex]
[tex]{:}\rightarrowtail\sf x=14.1[/tex]
[tex]{:}\rightarrowtail\sf base=14.
1feet[/tex]
[tex]{:}\rightarrowtail\sf Height =14.1+5=19.1feet [/tex]
A dressmaker has 75 yards of lace. it takes
[tex]1 \frac{1}{2} [/tex]
yards of lace to decorate one pocket.
How many pockets can she decorate with the lace she has.
Answers
Answer:
50 pockets
Step-by-step explanation:
Total yards of lace = 75
Yards to decorate one Pocket = 1 1/2 yards
How many pockets can she decorate with the lace
Number of pockets she can decorate with the lace = Total yards of lace / Yards to decorate one Pocket
= 75 ÷ 1 1/2
= 75 ÷ 3/2
= 75 × 2/3
= 150/3
= 50
Number of pockets she can decorate with the lace = 50 pockets
Which spacecraft tested the soil of Mars for signs of life?
Answers
Answer:
Viking landers
To date, the Viking landers (1976) were the only spacecraft to conduct experiments looking for life in the Martian soil.
Step-by-step explanation:
brainly?
Is 9.008 greater than 9.080
Answers
Answer:
no
Step-by-step explanation:
9.080 is greater
Since for the first one, 8 is in the ones place while 8 is in the tenth place for the second one.
Write an equivalent expression to 2x-1/2 - 4x + 4/3
Answers
Answer:
-4x+5/3
Step-by-step explanation:
-2x+5/6
multiply by 2
-4x+5/3
you can also check by plugging in a number for x and see if the answer is the same.
We are holding a 1k walk to raise money for walk across America. This organization provides shoes to people in need. It will be held at Millennium Park. It will cost us $250 to rent the park for the day. Each person will get a t-shirt and snacks, which cost us $10 per person. We plan to Charge $20 per person to participate. Assume y is the cost, and x is the number of people. Which two equations represent this situation? y = 10x + 250 y = 10x – 250 y = 20x y = 20x Option 2 Option 4 y = 20x + 250 y = 10x + 20 y = 10x V = 250x
Answers
Answer:
The equations y=10x+250 and y=20x represent the situation.
Step-by-step explanation:
Given that:
Cost to rent the park = $250
Cost per person for t-shirt and snack = $10
Cost of participation = $20
y = cost
x = number of people
Cost for the organization;
y = 10x + 250
Amount generated from people's participation
y = 20x
Hence,
The equations y=10x+250 and y=20x represent the situation.
Given the equation y = 2x + 4, what would the value of y be when x = 1?
5
7
1
6
Answers
Answer:
6
Step-by-step explanation:
y=2x+4
y=2(1)+4
y=2+4
y=6
A teacher knows that 15% of the pencils borrowed by her students are NOT returned. The teacher
has 80 pencils. How many pencils will be returned?
Answers
Answer:
Step-by-step explanation:
80 -15 =65 so she would get 65 pencils back
Answer:
12.
Step-by-step explanation:
15% of 80 is 12.
A customer opens a checking account and a savings account at a bank. They will deposit a maximum of $600, some in the checking account and some in the savings account. (They might not deposit all of it and keep some of the money as cash.)
Write an inequality to describe the constraints. Specify what each variable represents.
Write the inequality
Answers
Answer:
x +y [tex]\leq \\[/tex] 600
Step-by-step explanation:
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Answers
Answer:
Quadrant IV..............
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Bianca can walk 5/6 of a mile in of an hour. What is her walking speed, in miles per hour?
Answers
Step-by-step explanation:
please see it, i work on paper worksheet
Answer:
2 1/2 miles
24 minutes per mile
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Several bags of marbles of equal number are added to an empty jar. The total number of marbles in the jar is 1,320. A student places 9 more bags of marbles in the jar, bringing the total number of marbles in the jar to 1,518 marbles. If each bag in the jar contains the same number of marbles, how many marbles does each bag contain?
Answers
Answer: 22 Marbles
Step-by-step explanation:
1,518 - 1,320 = 198
198 ÷ 9 = 22
Answer:
22 marbles
Step-by-step explanation:
1518 - 1320 = 198
198/9 = 22
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Answers
Answer:
214.8 - 19* 4 =
214.8 - 76 =
138.8
therefore your answer is 138.8
Step-by-step explanation:
Answer:
76
Step-by-step explanation:
19 * 4 = 76
Can someone please help
Answers
can someone solve a - 3 over 7 s = -8
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STEP BY STEP PLEASE.
Answers
Answer:
a=-39; s=0.75
Step-by-step explanation:
Solve the System of Equations by Substitution.
First, solve one of the equations for a variable. I'll do the 2nd one because it only has one variable.
a+24=-15 -------> a=-39
Now we know what a is just plug it back into the other equation and get s.
[tex]\frac{a-3}{7s} =-8[/tex]
[tex]\frac{-39-3}{7s} =-8[/tex]
[tex]\frac{-42}{7s} =-8[/tex]
Switch the -8 and 7s
[tex]\frac{-42}{-8} =7s[/tex]
Simplify the fraction
5.25=7s
Divide by 7 to isolate the s
0.75=s
Answer:
2)a+24=-15
a=-15-24
a=-39
Step-by-step explanation:
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Answers
Answer:
A
Their slopes are negative reciprocals
if rst ≅ npq, m∠r = -7x +9, m∠n= -10x, find m∠r and m∠n
Answers
Answer:60
Step-by-step explanation: x=10
-7+9=2*10=20
-10*10=100
180-100-20=60
The measure of an angle is 26°. What is the measure of its complementary angle?
Answers
Answer:
64
Step-by-step explanation:
Complementary angles have to add up to 90.
90-26=64.
Answer:
64°
Step-by-step explanation:
Complementary angle means it add up to 90°
26° + x = 90°
x = 64°
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Answers
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Answers
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Answers
Answer:
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Step-by-step explanation:
Answer: is there suppose to be a pic?
Compare 6 ⋅ 108 to 3 ⋅ 106
6 ⋅ 108 is 2,000 times larger than 3 ⋅ 106.
6 ⋅ 108 is 200 times larger than 3 ⋅ 106.
6 ⋅ 108 is 20 times larger than 3 ⋅ 106.
6 ⋅ 108 is 2 times larger than 3 ⋅ 106.
Answers
Answer:
6 ⋅ 108 is 2 times larger than 3 ⋅ 106.
(6 x 10^8) ÷ (3 x 10^6) = 200
So the answer is 6 ⋅ 10^8 is 200 times larger than 3 ⋅ 10^6.
Hopes it helps.
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Answers
Answer:
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Step-by-step explanation:
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Answers
She was supposed to subtract 10 from -25, which would make it -35 instead of -15.
Answer:
I think its the third step like the other person said
Step-by-step explanation:
Rewrite y+3=−(x−5) in standard form .
Answers
Answer:
x + y = 2
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y + 3 = - (x - 5) ← distribute
y + 3 = - x + 5 ( subtract 3 from both sides )
y = - x + 2 ( add x to both sides )
x + y = 2 ← in standard form
Jonathan wants to the new baseball game for his game console. The game costs $45.99. If sales tax is 6%, write an equation to find the total cost of the game, represented as P.
Answers
Answer:
45.99x.94=P
Step-by-step explanation: