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Anestetic [448]
3 years ago
12

The function f(t) = −5t 2 + 20t + 60 models the approximate height of an object

Mathematics
2 answers:
Natalija [7]3 years ago
5 0
F(t) = -5t^2 + 20t + 60
-5(t^2 - 4t - 12)
-5(t + 2) (t - 6)
t = -2 or t = 6

6 seconds
patriot [66]3 years ago
3 0

Answer:

6 seconds.

Step-by-step explanation:

We have been given a function formula f(t)=-5t^2+20t+60 that models the approximate height of an object  t seconds after it is launched.

To find the number of seconds it will take the object to hit the ground, we need to find the zeros of our given function.

-5t^2+20t+60=0

Upon dividing our equation by -5 we will get,

t^2-4t-12=0

We will factor our given equation by splitting the middle term as:

t^2-6t+2t-12=0

t(t-6)+2(t-6)=0

(t-6)(t+2)=0

(t-6)=0\text{ or }(t+2)=0

t=6\text{ or }t=-2

Since time cannot be negative, therefore, it will take the object 6 seconds to hit the ground.

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The weight of a Great blue heron, a type of bird, can grow to around 4 pounds, but can vary. Let W be a random variable that rep
hammer [34]

Answer:

10 ≥  w  ≥  9 ( ? )

Step-by-step explanation:

the probability that a Great blue heron is at least 9 pounds, but no more than 10 pounds         ->      w= weight of great blue heron

w is at lest 9 pound's ->   w ≥ 9

w is no more than 10 pound's ->   w ≥ 10

w ≥  9 ( + )  w ≥  10    =     10 ≥  w ≥  9

6 0
3 years ago
Determine the intercepts of the line.<br> Do not round your answers.<br> y=-2x-21y=−2x−21
Neko [114]

Answer:

x(-10.5,0)

y.(0,-21)

Step-by-step explanation:

I just took the test and got 100% correct trust me

Put a thanks

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4 0
3 years ago
Read 2 more answers
Can someone that's very good at math please help me?
gtnhenbr [62]

Answer:

35 :

t = 6.25 years

(about 6 years 3 months)

Equation:

t = (1/r)(A/P - 1)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

t = (1/0.04)((2500/2000) - 1) = 6.25

t = 6.25 years

The time required to get a total amount, principal plus interest, of $2,500.00 from simple interest on a principal of $2,000.00 at an interest rate of 4% per year is 6.25 years (about 6 years 3 months).

36:

The two distances are the same (out and back), so set them equal.

That is done by having a (rate)(time) equal a (rate)(time).

One time is “x” and the other is “4.8-x.”

One rate is 460 and the other is 500.

460 x = 500 (4.8 -x)

460 x = 2400 - 500x

900 x = 2400

x = 2.5 hours for the slower plane.

4.8- x = 2.3 hours for the faster plane.

8 0
3 years ago
HELP ALERT ALERT MATH PROBLEM
Lisa [10]
Multiple 15 by 6, the answer is 90 square cm
7 0
3 years ago
Aubrey claims that if the dimensions of the parallelogram shown are doubled, then the area of the larger parallelogram will be 4
Ostrovityanka [42]

Answer:

Aubrey is correct because the area of the new parallelogram is 12 (6) = 72 square inches. The original area is 18 square inches. Since 4 (18) = 72, the new parallelogram has 4 times the area of the original.

Step-by-step explanation:

A parallelogram with a base of 6 inches and height of 3 inches. A side has a length of 5 inches.

Aubrey is correct because the area of the new parallelogram is 12 (6) = 72 square inches. The original area is 18 square inches. Since 4 (18) = 72, the new parallelogram has 4 times the area of the original.

Aubrey is correct because the area of the new parallelogram is 10 (7) = 70 square inches. The original area is 18 square inches. Since 4 (18) = 72, it is about 4 times larger than the original.

Aubrey is incorrect because if one doubles each dimension, then the area will automatically be doubled as well. The original area is 18 square inches so the new parallelogram will have an area of 2 (18) = 36, or two times more than the original.

Aubrey is incorrect because if one doubles each dimension, then the area will automatically be doubled as well. The original area is 30 square inches so the new parallelogram will have an area of 2 (30) = 60, or 2 times more than the original.

Workings

Area of a parallelogram=base×height

Original parallelogram

Base=6 inches

Height=3 inches

Area=base×height

=6×3

=18 square inches

New parallelogram with doubled dimensions

Base=6 inches doubled=12 inches

Height=3 inches doubled=6 inches

Area=base×height

=12×6

=72 square inches

New area=4 times original area

New area=4×18

New area=72 square inches

5 0
3 years ago
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