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3 years ago

-2 + 5/4 how do you do this problem and show your work

Mathematics

2 answers:

torisob [31]3 years ago

8 0

-2 + 5/4
(Turn -2 into a fraction)
-2/1 + 5/4
(Find a common denominator)
-8/4 + 5/4
(Add -8 and 5)
-3/4

Irina18 [472]3 years ago

6 0

Answer:

-1 1/4 boi boi lol ha ha lol

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A spherical exercise ball has a maximum diameter of 30 inches when filled with air. The ball was completely empty at the start,

Alex73 [517]

Answer:

A) A(t) = 4500*π - 1600*t

B) A(4) = 7730 in³

C) t = 8,8 sec

Step-by-step explanation:

The volume of the sphere is:

d max = 30 r max = 15 in

V(s) = (4/3)*π*r³ V(s) = (4/3)*π* (15)³

V(s) = 4500*π

A) Amount of air needed to fill the ball A(t)

A(t) = Total max. volume of the sphere - rate of flux of air * time

A(t) = 4500*π - 1600*t in³

B) After 4 minutes

A(4) = 4500*π - 6400

A(4) = 14130 - 6400

A(4) = 7730 in³

C) A(t) = 4500*π - 1600*t

when A(t) = 0 the ball got its maximum volume then:

4500*π - 1600*t = 0

t = 14130/1600

t = 8,8 sec

8 0

2 years ago

Identify the x-intercepts of the function below f(x)=x^2+12x+24

damaskus [11]

<u>ANSWER: </u>

x-intercepts of $\mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})$

<u>SOLUTION:</u>

Given, $f(x)=x^{2}+12 x+24$ -- eqn 1

x-intercepts of the function are the points where function touches the x-axis, which means they are zeroes of the function.

Now, let us find the zeroes using quadratic formula for f(x) = 0.

$X=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here, for (1) a = 1, b= 12 and c = 24

$X=\frac{-(12) \pm \sqrt{(12)^{2}-4 \times 1 \times 24}}{2 \times 1}$

$\begin{array}{l}{X=\frac{-12 \pm \sqrt{144-96}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{48}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{16 \times 3}}{2}} \\\\ {X=\frac{-12 \pm 4 \sqrt{3}}{2}} \\ {X=\frac{2(-6+2 \sqrt{3})}{2}, \frac{2(-6-2 \sqrt{3})}{2}} \\\\ {X=(-6+2 \sqrt{3}),(-6-2 \sqrt{3})}\end{array}$

Hence the x-intercepts of $\mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})$

8 0

2 years ago

HELP PLEASE!!!

givi [52]

The answer is C because:
It is keeping it identity through the multiplication.

4 0

2 years ago

In 2014 Rose invested $16,000 in a savings account for her newborn son. The account pays 3.6% interest each year. Determine the

Juliette [100K]

Answer:

Total value of the account in 2032 will be $26,368

7 0

2 years ago

A beacon is flashing on top of a 50 foot tower. A 6 foot tall man walks constantly away from the tower at 5 feet/sec. At the ins

Viefleur [7K]

Answer: $\frac{253}{44}$

Step-by-step explanation:

ignore the "at the instant the man is 30 feet away" part, set it as X and the man's shadow as Y.

Similar triangles so we can do $\frac{50}{x+y} = \frac{6}{y}$ .

Solve for it we get 44y = 6x

Differentiate relative to time t, we get 44y' = 6x'.

change in x (x') is equal to 5. And we get the answer y' = $\frac{33}{44}$ .

the $\frac{33}{44}$ ft/sec is the rate of which the length of the shadow is changing. add 5 to it for the rate of the tip of his shadow moving away from the tower.

7 0

2 years ago