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tresset_1 [31]
2 years ago
10

7.5x = 30 in the since of algebra

Mathematics
1 answer:
erma4kov [3.2K]2 years ago
5 0
Answer:x=4
7.5x=30
Divide by 7.5 on both sides
x+4
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A dog jumps straight up. Y=-16t^2+20t models the motion of the dog, where "t" is the time in seconds and "y" is the height of th
alina1380 [7]

Answer:

Step-by-step explanation:

The motion of the dolphin is quadratic

i.e y=-16t²+20t

To get the maximum height the dolphin will reach

We need to find the point of inflexion. i.e dy/dt=0

dy/dt=-32t+20

Then set dy/dt=0

0=-32t+20

Then, -32t=-20

t=0.625

Let find d²y/dt²

d²y/dt²=-32. Since this is negative then the point t=0.625 is the maximum point the dolphin can reach

Then substitute t=0.625 into y

y=-16t²+20t

y=-16(0.625)²+20(0.625)

y=6.25ft

Then the maximum height the dolphin can reach is 6.25ft

Using discriminant

Formular method

y=-16t²+20t

So the dog height y<7

y=-16t²+20t <7

-16t²+20t-7<0

a=-16, b= 20. c=-7

t=(-b±√b²-4ac)/2a

Using the a, b and c direct for the discriminant

D=b²-4ac

D=20²-4×-16×-7

D=-48

Which is a complex number

Then the dolphin can reach the height

Then we need to model the D to be greater than 0

Therefore,

D>0

b²-4ac>0

We cannot do anything to a and b it is already given

a=-16, b=20

(20)²-4(-16c)>0

400+64c>0

64c>-400

Then

c>-6.25

Divide both side by - and the inequality sign will change

Therefore -c<6.25

So the dog height y<6.25

y=-16t²+20t <6.25

Therefore the maximum height is 6.25.

If it is greater than that then, we are going to have a complex root movement which is not possible for the dolphin .

5 0
3 years ago
A triangle has two angles that measure 18.6 degrees and 113.4 degrees respectively. what is the measure of the third angle?
spin [16.1K]

Answer:

x = 48

Step-by-step explanation:

18.6 + 113.4 + x = 180

132 + x = 180

x = 180 - 132

x = 48

5 0
3 years ago
Sam is filling up his pool. The water hose filled the 392 gallon pool in 49 minutes. At what rate did the hose fill the pool in
cestrela7 [59]
Your answer would be 8 Hammond per minute. Hope this helps!
3 0
2 years ago
Read 2 more answers
How to divided 245 by 70 <br> Show your work
Bas_tet [7]

Answer:

Step-by-step explanation:

Hello!

          2          4              5          ∟ 70

        -2           1                                 3, 5

------------------------

                      3              5        0

                      3              5       0

                -   --------------------------------

                     0                0        0

6 0
2 years ago
What is the solution to the system of equations graphed below?<br> y=-4x + 33<br><br> y=5/3x-1
Black_prince [1.1K]

Answer:

x = 6

y = 9

This is the correct answer. Not satisfied? Check out this answer expert verified answer of the same question but with a step-by-step explanation. This answer is just a simple version of rocioo's correct answer.

Expert Verified Answer (of this same question but with a step-by-step explanation):

This is the link to rocioo's answer. <u>brainly.com/question/13675950</u>

3 0
3 years ago
Read 2 more answers
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