Heyy! i’ll give brainliest please help.

a water balloon is tossed into the air with an upward velocity of 25 ft/s its height h(t) in ft after t seconds is given by the

Montano1993 [528]

When the height is 0 that is when it hits the ground
solve
0=-16t²+25x+3
cant factor so use quadratic formula

for
0=ax²+bx+c
$x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}$

so for
0=-16t²+25t+3
a=-16
b=25
c=3
so

$x=\frac{-25+/-\sqrt{25^2-4(-16)(3)}}{2(-16)}$
$x=\frac{-25+/-\frac{625+192}}{-32}$
$x=\frac{-25+/-\frac{817}}{-32}$
it has to be a positive time

so it will hit the ground after $\frac{25+\sqrt{817}}{32}$ seconds

4 0

2 years ago

¿Cuál es el área de un rectángulo, sabiendo que su perímetro mide 24 cm y que su base es el triple de su altura?

Brrunno [24]

Answer:

El área del rectángulo es:

27 cm²

Step-by-step explanation:

Consideración:

La formula del perímetro de un rectángulo es:

p = 2(altura + base)

Planteamiento:

24 = 2(a+b)

b = 3a

a = longitud de la altura del rectángulo

b = longitud de la base del rectángulo

Desarrollo:

sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:

24 = 2(a + 3a)

24/2 = 4a

12 = 4a

a = 12/4

a = 3 cm

de la segunda ecuación del planteamiento:

b = 3a

b = 3*3

b = 9 cm

Comprobación:

de la primer ecuación del planteamiento:

24 = 2(3+9)

24 = 2*12

Respuesta:

la formula del área de un rectángulo es:

A = base * altura

A = 9cn * 3cm

A = 27cm²

5 0

3 years ago

What is the solution to this equation log(2x-100)=3

Mnenie [13.5K]

Greeting to you! My name is Cecille and I’m here to answer that question

For more explanation, please see the attachment

5 0

1 year ago

ITS URGENT PLEASE HELP!!! I will give brainliest if correct! Someone please help?

QveST [7]

Answer:

D, E, C, A, and B.

Step-by-step explanation:

We wish to solve the equation:

$2(x-3)+7-3x=11$

Let’s go through this step-by-step.

1) Distributive Property:

$2x-6+7-3x=11$

2) Commutative Property of Addition (we rearrange them):

$2x-3x-6+7=11$

3) Combined Like Terms:

$-x+1=11$

4) Addition Property of Equality* (we add <em>-1</em> to both sides):

$-x=10$

5) Multiplication Property of Equality (we multiply both sides by -1):

$x=-10$

So, our sequence is:

D, E, C, A, and B.

*A better choice would’ve been the Subtraction Property of Equality, but both are equally fine.

5 0

3 years ago

Suppose the national mean SAT score in mathematics was 510. In a random sample of 60 graduates from Stevens High, the mean SAT s

zalisa [80]

Answer:

We accept the alternate hypothesis and conclude that mean SAT score for Stevens High graduates is not the same as the national average.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 510

Sample mean, $\bar{x}$ = 502

Sample size, n = 60

Sample standard deviation, s = 30

Alpha, α = 0.05

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 510\\H_A: \mu \neq 510$

We use Two-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n-1}} }$ Putting all the values, we have

$t_{stat} = \displaystyle\frac{502- 510}{\frac{30}{\sqrt{60}} } = -2.0655$

Now,

$t_{critical} \text{ at 0.05 level of significance, 59 degree of freedom } = \pm 1.671$

Since,

$|t_{stat}| < |t_{critical}|$

We reject the null hypothesis and fail to accept it.

We accept the alternate hypothesis and conclude that mean SAT score for Stevens High graduates is not the same as the national average.

7 0

3 years ago