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DaniilM [7]
3 years ago
8

I need help on this question

Mathematics
1 answer:
gtnhenbr [62]3 years ago
8 0
8:20 pm because if Prisha read 60 pages for a half hour, and she read 40 until 8:40, it would be 8:20 pm
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The equation h(t) = -16t² + 80t + 64 represented the height, in feet, of a potato t seconds after it has been launched.
Lyrx [107]

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

we have

h(t)=-16t^2+80t+64

where

h(t) is the height of a potato in feet

t is the time in seconds

Part A)  Write an equation that can be solved to find when the potato hits the ground. Then solve the equation

we know that

When the potato hit the ground, the value of h(t) must be equal to zero

so

For h(t)=0

-16t^2+80t+64=0

Solve the quadratic equation

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^2+80t+64=0

so

a=-16\\b=80\\c=64

substitute in the formula

t=\frac{-80\pm\sqrt{80^{2}-4(-16)(64)}} {2(-16)}

t=\frac{-80\pm\sqrt{10,496}} {-32}

t=\frac{-80+\sqrt{10,496}} {-32}=-0.70

t=\frac{-80-\sqrt{10,496}} {-32}=5.70

therefore

The potato hit the ground at t=5.70 seconds

Part B) Write an equation that can be solved to find when the potato is 40 feet off the ground. Then solve the equation

For h(t)=40 ft

substitute in the quadratic equation

-16t^2+80t+64=40

-16t^2+80t+24=0

Solve the quadratic equation

we have

a=-16\\b=80\\c=24

substitute in the formula

t=\frac{-80\pm\sqrt{80^{2}-4(-16)(24)}} {2(-16)}

t=\frac{-80\pm\sqrt{7,936}} {-32}

t=\frac{-80+\sqrt{7,936}} {-32}=-0.28

t=\frac{-80-\sqrt{7,936}} {-32}=5.28

therefore

The potato is 40 feet off the ground at the time t=5.28 seconds

3 0
3 years ago
PLEASEEE HELP I WILL MARK YOU BRAINIEST!!!
lisabon 2012 [21]

Answer:

26

Step-by-step explanation:

duh....

7 0
3 years ago
elect answers from the drop-down menus to correctly complete the statements. A scale factor of was applied to the first triangle
snow_tiger [21]
The scale factor is what u multiply the first image by to get the second image. So by dividing the second image by the first image will give u the scale factor.

6 / 1.5 = 4....so there is a scale factor of 4 because 1.5 * 4 = 6
7 0
3 years ago
Read 2 more answers
Help me i think its add 24 to both sides
umka2103 [35]

It is given in the question that

Steven is solving the equation

3(8-2x)+40=34

He begins with the following two steps.

Step 1: 3(8)+3(-2x)+40=34  Step 2: 24-6x+40=34

And we have to find , what will be the next step in solving the equation.

First we combine the like terms. And the like terms are 24 and 40. So we have to add 24 and 40. And that will be the next step.

So the correct option is the last option.

8 0
3 years ago
Which statement describes the mapping
valkas [14]
Best Answer: The collective unconscious refers to that part of a person's unconscious which is common to all human beings. It contains archetypes, which are forms or symbols that are manifested by all people in all cultures. They are said to exist prior to experience, and are in this sense instinctual. Critics have argued that this is an ethnocentrist view, which universalized Jung's European-styled archetypes into human beings' archetypes.

Less mystical proponents of the Jungian model hold that the collective unconscious can be adequately explained as arising in each individual from shared instinct, common experience, and shared culture. The natural process of generalization in the human mind combines these common traits and experiences into a mostly identical substratum of the unconscious.

For example, the archetype of "the great mother" would be expected to be very nearly the same in all people, since all infants share inherent expectation of having an attentive caretaker (human instinct); every surviving infant must either have had a mother, or a surrogate (common experience); and nearly every child is indoctrinated with society's idea of what a mother should be (shared culture). The amalgam of all these effects could be the source of the shared figure, or archetype, which reportedly appears very nearly the same in most peoples' dreams.

Regardless of whether the individual's connection to the collective unconscious arises from mundane or mystical means, the term collective unconscious describes an important commonality that is observed to exist between different individuals' dreams. It was simply formulated by Jung as a model.

Timothy Leary's 8-Circuit Model of Consciousness includes the collective unconscious as being the 7th circuit, or the neurogenetic circuit of consciousness.
3 0
3 years ago
Read 2 more answers
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