Factor the trinomial comoletley x2+5x-84

The larger of two numbers is 8 more than three times the smaller number

9966 [12]

Answer:

The equation would be x = 3y + 8 where x is the larger number and y is the smaller one :)

6 0

3 years ago

A silo is to be built by attaching a hemisphere roof onto a circular cylinder. The hemisphere part of the silo is constructed by

crimeas [40]

The radius and height, in two decimal places are mathematically given as

r=10.60

<h3>What is the radius and height, in two decimal places?</h3>

Generally, the equation for the volume is mathematically given as

$V=\pi r^{2} h+\frac{2}{3} \pi r^{3}$

Therefore

$5000 &=\pi 0^{2} h+\frac{2}{3} \pi r^{3}$

$V(r, h) &=\pi r^{2} h+\frac{2}{3} \pi r^{3}-5000 \\\nabla V &=\left\langle 2 \pi r h+2 \pi r^{2}, \pi r^{2}\right\rangle \\$

$\cos t &=100\left(2 \pi r^{2}\right)+75(2 \pi r h) \\\\\cos t &=200 \pi r^{2}+150 \pi r h \\\\\nabla C(r, h) &=\langle 400 \pi r+150 \pi h, 150 \pi r\rangle$

Using Lagrange method

$\langle 400 \pi \gamma+150 \pi \gamma h, 150 \pi \gamma\rangle=\lambda\left\langle 2 \pi \gamma h+2 \pi \gamma^{2}, \pi r^{2}\right\rangle$

$400 \pi r+150 \pi r=\left(2 \pi r h+2 \pi r^{2}\right) \lambda$

$$400 \pi \gamma+150 \pi h=300 \pi h+300 \pi r \\\\$

$400 \pi r-300 \pi r=150 \pi h$

$$160 \pi r=150 \pi h \quad \\\\\\$

with

$h=\frac{2}{3} r $$

$\pi r^{2} h+\frac{2}{3} \pi r^{3}=5000$

$\pi r}\left(\frac{2}{3} r \right)+\frac{2}{3} \pi^{3}=5000$$

$$\frac{4 \pi \gamma^{3}}{3}=5000 \quad$

$r^{3}=\left(\frac{5000 \times 3}{4 \pi}\right)$$

r=10.60

In conclusion, the radius and height, in two decimal places is

r=10.60

Read more about radius

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8 0

2 years ago

Jim picked a card from a standard deck, looked at it, and then put it back. He then picked a second card. What is the probabilit

shutvik [7]

Answer:

Heart: 1 in 4 chance

Ace: 1 in 13 chance

Step-by-step explanation:

First we'll start with the probability of picking a heart.

There are four different suits in the deck: spades, clubs, diamonds, and hearts. Therefore, since hearts is one of the four there is a 1 in 4 chance he will pick hearts.

For the ace, we have to consider how many cards are in the deck and how many of them are aces. There are 52 cards in a standard playing card deck and 4 of them are aces. Therefore, since 4/52 = 2/36 = 13, there is a 1 in 13 chance that he will pick an ace.

Hope that helps!

Chandowd

6 0

4 years ago

Read 2 more answers

if the area of a rectangle is 42 feet. what could be possible lengths and widths of the rectangle? 42=__×___

Ksenya-84 [330]

6×7
because 6×7=42
I hope this helps!

7 0

3 years ago

Read 2 more answers

Round 8,373 to the nearest thousand