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4 years ago

Can someone please help me please

Mathematics

1 answer:

kumpel [21]4 years ago

6 0

Answer:

its C

the increasing part means when y axis is increasing,you can observe it thru that img

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A ball is shot straight up from the top of a 15-story building. The motion of the ball could be described by the function: h(t)=

viktelen [127]

Answer:

After 4 seconds the height is 480 meters.
The maximum height is 484 meters.
The ball hits the ground after 10 seconds

Step-by-step explanation:

The height after four seconds is h(4) = -16 * r² + 144*4+160 = 480

The maximum height of the ball is the value it takes at its vertex 'v = -b/2a'. In this case a = -16 and b = 144, so the v = -144/-32 = 4.5. The maximum height of the ball as a result is h(4.5) = -16 (4.5)² + 144*4.5 + 160 = 484

To find the moment the ball hits the ground, we need to find when h takes the value 0 by using the quadratic formula, with a = -16, b = 144 and c = 160.

$r_1,r_2 = \frac{-144 \, ^+_- \sqrt{144^2-4*(-16)*160}}{2*(-16)} = \frac{-144 \, ^+_- \sqrt{30976}}{-32} = \frac{-144 \, ^+_- 176}{-32} = -1, 10$

Since t cant take negative values, then the correct value is 10. The ball hits the ground after 10 seconds.

7 0

3 years ago

Find a function f such that f '(x) = 5x3 and the line 40x + y = 0 is tangent to the graph of f.

Alex17521 [72]

The function that is a tangent to the graph of f is $f(x) = (5/4)x^4+60$

<h3>What is the concept of integral?</h3>

The definite integral can be interpreted as the resulting area of a region. In addition, it is a value in its result, that is, it does not depend on the variable x, which can be exchanged for any other variable without changing the value of the integral.

Knowing that :

40x + y = 0 is tangent of f(x)
slope of the line = -40

therefore, f'(x)|x=a = -40, so only look for a we have:

$5a^3 = -40\\a^3 = -8\\a = -2$

if, x = -2, then y = 80 (since, 40x + y = 0), therefore, f(x) passes through (-2,80), so in the equation:

$f'(x) = 5x^3\\f(x) = (5/4)x^4 + c\\80 = (5/4)(-2)^4 + c\\c = 60$

Therefore,

$f(x) = (5/4)x^4+60$

See more about tangent at brainly.com/question/401236

#SPJ1

4 0

2 years ago

In a survey of 3,500 people who owned a certain type of car, 1,225 said they would buy that type of car again. What percent of

Elis [28]

3,500 x .35 = 1,225.
So move the decimal to the right 2 places & that gives you 35% of the people were satisfied with the car.
I would not buy that car!

7 0

3 years ago

Find the a2, a3, and a4 terms of the sequence defined as:

ValentinkaMS [17]

Answer:

$a_2 =\frac{1}{2}\\\\a_3 =2\\\\a_2 =\frac{1}{2}$

Step-by-step explanation:

$a_1 = 2......(given)\\\\a_n =\frac{1}{a_{n-1}}\\\\Plug\: n = 2\\a_2 =\frac{1}{a_{2-1}}=\frac{1}{a_1}=\frac{1}{2}\\\\Plug\: n = 3\\a_3 =\frac{1}{a_{3-1}}=\frac{1}{a_2}=\frac{1}{\frac{1}{2}}=2\\\\Plug\: n = 4\\a_4 =\frac{1}{a_{4-1}}=\frac{1}{a_3}=\frac{1}{2}\\\\$

7 0

3 years ago

Which expression is equivalent to -8?<br> O-2-3<br> -3<br> 9<br> 2-3

icang [17]

Answer:

the answer would be c

Step-by-step explanation:

the answer would be c because its a fraction

7 0

3 years ago