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3 years ago

Practice: Solv 34 x 68 = – What is it

Mathematics

1 answer:

Bad White [126]3 years ago

6 0

Answer: 2312

Step-by-step explanation: 34 x 68 = 2312

I hope that this helps you! :)

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A frog can hop at a maximum speed of about 60 feet every 4 seconds. How far can the frog go in 30 seconds?

sineoko [7]

Answer:

450 feet

Step-by-step explanation:

60ft = 4 seconds

x ft = 30 seconds

(cross multiply)

60 * 30 = 4x

1800= 4x

(divide both sides by 4)

x= 1800/4= 450

8 0

3 years ago

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When taking a 11 question multiple choice test, where each question has 4 possible answers, it would be unusual to get 3 Incorre

marin [14]

Answer:

Step-by-step explanation:

probability of answering a question correct p=1/4

let minimum number number of question that would be unusual =n

hence from binomial distribution P(X>=n) <0.05

$\sum_{x=n}^{11}\binom{11}{x}(1/4)^{x}(3/4)^{11-x}$

by solving:

n=6

it would be unusual to get 6 or more questions correct by guessing alone.

4 0

3 years ago

Please help me real quick

aleksley [76]

Here ya go!
24x-18= 6(4x+3)
Just find the greatest common factor, take it out of the parenthesis, and boom! Brainliest?

6 0

3 years ago

A flat circular plate has the shape of the region x2 + y2≤1. The plate, including the boundary where x2 + y2 = 1, is heated such

olganol [36]

$T(x,y)=x^2+2y^2-x$
$\implies\nabla T(x,y)=(T_x,T_y)=(2x-1,4y)$

Setting both partial derivatives to 0 gives a single critical point at $(x,y)=\left(\dfrac12,0\right)$ , which does fall inside the unit disk.

At this point, the value of the derivative of the Hessian matrix is

$|H|=\begin{vmatrix}T_{xx}&T_{xy}\\T_{yx}&T_{yy}\end{vmatrix}=\begin{vmatrix}2&0\\0&4\end{vmatrix}=8>0$

while the value of the second-order partial derivative with respect to $x$ is

$T_{xx}\bigg|_{(x,y)=(1/2,0)}=2>0$

This means the critical point is the site of a local minimum, so this is the coldest point on the plate with a temperature of $T\left(\dfrac12,0\right)=-\dfrac14$ .

The hottest point on the plate must then be found on the boundary. Let $x=\cos\theta$ and $y=\sin\theta$ , so that

$T(x,y)=T(\theta)=\cos^2\theta+2\sin^2\theta-\cos\theta$
$T(\theta)=\dfrac32-\cos\theta-\dfrac12\cos2\theta$

Then the boundary of the plate (the circle $x^2+y^2=1$ ) is a function of a single variable $\theta$ considered over $\theta\in[0,2\pi)$ . Differentiating once gives

$T'(\theta)=\sin\theta+\sin2\theta=0$
$\implies\theta=0,\theta=\dfrac{2\pi}3,\theta=\pi,\theta=\dfrac{4\pi}3$

You'll find that $T(\theta)$ attains three extrema on the interval $(0,2\pi)$ , with relative maxima at $\theta=\dfrac{2\pi}3$ and $\theta=\dfrac{4\pi}3$ and a relative minimum at $\theta=\pi$ (and $\theta=0$ , if you want to include that).

We already found our minimum on the inside of our plate - which you can verify to have a lower temperature than at the points given by $T(\theta)$ - and we find two maxima at $\theta=\dfrac{2\pi}3$ and $\theta=\dfrac{4\pi}3$ , each giving a maximum temperature of $T=\dfrac94$ .

Converting back to Cartesian coordinates, these points correspond to the points $\left(-\dfrac12,\pm\dfrac{\sqrt3}2\right)$ .

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3 years ago

There are rabbits and chickens in Sally’s backyard: 22 heads and 76 legs. How many rabbits and how many chickens are there?

klemol [59]

22/76 ÷ ? = ?/?
you can do long division for 22/76 then that will tell you your numerator. if you don't have any remainders then.... 22/76 ÷ 76 = ?/1

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4 years ago

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