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3 years ago

After t seconds a ball thrown in the air from ground level reaches a given

Mathematics

1 answer:

horsena [70]3 years ago

3 0

Answer:

9 sec.

Step-by-step explanation:

I think you wrote the equations incorrectly. It probably is

$h = -16t^{2} + 144t + 100$

If that is true, then $100 = -16t^{2} + 144t + 100$

0 = -16 $t^{2}$ + 144t

-16t(t - 9) = 0

t = 0 or t = 9

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Solve 2sin2(x) – 5sin(x) – 3 = 0. Let u = sin(x). Which of the following is equivalent to the given equation?

Orlov [11]

Answer:

$x=(-1)^{k+1}\cdot \dfrac{\pi}{6}+\pi k,\ k\in Z$

Step-by-step explanation:

Consider the equation

$2\sin^2x-5\sin x-3=0$

Substitute

$u=\sin x$

into the equation:

$2u^2-5u-3=0$

This is quadratic equation, where

$D=(-5)^2-4\cdot 2\cdot (-3)=25+24=49\\ \\\sqrt{D}=7$

Hence,

$u_1=\dfrac{-(-5)-\sqrt{D}}{2\cdot 2}=\dfrac{5-7}{4}=-\dfrac{1}{2}\\ \\u_2=\dfrac{-(-5)+\sqrt{D}}{2\cdot 2}=\dfrac{5+7}{4}=3$

Now, use the substitution again:

1. When $u_1=-\dfrac{1}{2},$ then

$\sin x=-\dfrac{1}{2}\\ \\x=(-1)^k\sin^{-1}\left(-\dfrac{1}{2}\right)+\pi k,\ k\in Z\\ \\x=(-1)^k\cdot \left(-\dfrac{\pi}{6}\right)+\pi k,\ k\in Z\\ \\x=(-1)^{k+1}\cdot \dfrac{\pi}{6}+\pi k,\ k\in Z$

2. When $u_2=3,$ then

$\sin x=3$

This equation has no solutions, because the range of $\sin x$ is $[-1,1]$ and 3>1.

4 0

4 years ago

Read 2 more answers

Help me please I'm on a time limit

olga_2 [115]

The original price times the off price to get how much is the discount 3.25*0.25=0.8125 Subtract the discount from the original price 3.25-0.8125=2.4375=2.44 Or 3.25*0.75=2.4375=2.44

7 0

4 years ago

(12) - (23 +131) =<br> Express your answer in the form (a + bi),

4vir4ik [10]

Answer:

-142

Step-by-step explanation:

First solve parenthesis,

(12) - (23 +131) =

(12) -154

Finally subtract,

12-154

= -142

5 0

3 years ago

To French shop for fresh fruit. Elena buys a watermelon for $7.75 and 5 pounds of cherries Tammy buys a pineapple for $4.15 and

lys-0071 [83]

Answer: Elena spent $3.6 +x more than Tammy.

Step-by-step explanation:

Let the cost of each cherry be 'x'.

Cost of watermelon for Elena = $7.75

Cost of 5 pounds of cherries = 5x

So, Equation for Elena would be

$7.75+5x$

Cost of pineapple = $4.15

Number of pounds of cherries = 4

So, Equation for Tammy would be

$\$4.15+4x$

Now, Elena spent more than Tammy by

$(7.75+5x)-(4.15+4x)\\\\=7.75+5x-4.15-4x\\\\=3.6+x$

Hence, Elena spent $3.6 +x more than Tammy.

8 0

4 years ago

select the correct answer and show your work so what property is illustrated by 18 x 0=0 is it a. zero property b. property of o

juin [17]

It is a, the zero property. It is so since you are multiplying zero to get an answer of zero.
I will try to elaborate.

The "Zero Product Property" says that:

If a × b = 0 then a = 0 or b = 0
(or both a=0 and b=0)

18 x 0 = 0

Let's say that 18 = a and 0 = b. By the converse of the statement, it states that if a or b is zero, then it must be the zero property. Since b is in fact, zero, then we can conclude that it is, in fact, the zero property.

5 0

3 years ago

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