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3 years ago

Simplify (5+1)^2-(12+3^2)/3

Mathematics

2 answers:

Pepsi [2]3 years ago

5 0

Good evening ,

Answer:

=29

___________________

Step-by-step explanation:

Look at the photo below for the details.

lakkis [162]3 years ago

3 0

Answer:

Step-by-step explanation:

Simplify the expression $(5+1)^2-\dfrac{12+3^2}{3}$ step by step:

$(5+1)^2=6^2=6\cdot 6=36$

$\dfrac{12+3^2}{3}=\dfrac{12+3\cdot 3}{3}=\dfrac{12+9}{3}=\dfrac{21}{3}=7$

Now,

$(5+1)^2-\dfrac{12+3^2}{3}=36-7=29$

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DochEvi [55]

Answer:

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3 years ago

If a ball is thrown into the air with a velocity of 34 ft/s, its height (in feet) after t seconds is given by y = 34t − 16t2. Fi

Finger [1]

ANSWER:

If a ball is thrown into the air with a velocity of 34 feet per second, then velocity of the ball after 1 second is 2 feet per second

SOLUTION:

Given, a ball is thrown into the air with a velocity of 34 feet per second

Initial velocity (u) = 34 feet per second

And also given a relation between displacement and time = $\mathrm{y}=34 \mathrm{t}-16 \mathrm{t}^{2}$ --- eqn 1

We need to find the velocity when t = 1 ; v = ?

We know that, v = u + at and $\mathrm{s}=\mathrm{ut}+\frac{1}{2} \mathrm{at}^{2}$

where v is instantaneous velocity and u is initial velocity

a is acceleration

t is time interval

s is displacement

using the displacement and time relation eqn (1) we get

Now, when t = 1, displacement s = 34(1) – 16(1)

$\mathrm{ut}+\frac{1}{2} \mathrm{at}^{2}=34-16$

$34 \times 1+\frac{1}{2} \times a \times 1^{2}=18$

$34+\frac{a}{2}=18$

$\begin{array}{l}{\frac{a}{2}=18-34} \\\\ {\frac{a}{2}=-16} \\ {a=-16 \times 2} \\ {a=-32}\end{array}$

here, -ve sign indicates that object is in deceleration . so acceleration is -32 ft/s

now put a value in v = u + at

v = 34 + (-32)(1)

v = 34 – 32

v = 2 ft/s

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LuckyWell [14K]

Answer is in the picture:

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Dovator [93]

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The z-score we need is found by first subtracting the confidence level from 1:
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Divide that by 2:
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Subtract that from 1:
1 - 0.025 = 0.975

Look this up in the middle of a z-table (http://www.z-table.com) and we see that the z-score is 1.96.

Now our confidence interval is given by
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3 years ago

Describe the graph of the function f(x) = 2x^3 +14x^2 +13x +6. Include the y-intercept, x-intercepts, and the shape of the graph

vovikov84 [41]

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The graph is attached below.

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3 years ago