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BaLLatris [955]
3 years ago
11

How many three-digit positive integers exist, all of whose digits are 2's and/or 5's?

Mathematics
1 answer:
vfiekz [6]3 years ago
3 0

Answer:

  8

Step-by-step explanation:

There are two choices for each digit, and 3 digits, so 2^3 = 8 possible numbers. Here's a list:

  222, 225, 252, 255

  522, 525, 552, 555

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Finding Derivatives Implicity In Exercise,Find dy/dx implicity.<br> x2e - x + 2y2 - xy = 0
Klio2033 [76]

Answer:

the question is incomplete, the complete question is

"Finding Derivatives Implicity In Exercise,Find dy/dx implicity . x^{2}e^{-x}+2y^{2}-xy"

Answer : \frac{dy}{dx}=\frac{y-(2-x)xe^{-x}}{(4y-x)}

Step-by-step explanation:

From the expression  x^{2}e^{-x}+2y^{2}-xy" y is define as an implicit function of x, hence we differentiate each term of the equation with respect to x.

we arrive at

\frac{d}{dx}(x^{2}e^{-x )+\frac{d}{dx} (2y^{2})-\frac{d}{dx}xy=0\\

for the expression \frac{d}{dx}(x^{2}e^{-x}) we differentiate using the product rule, also since y^2 is a function of y which itself is a function of x, we have

(2xe^{-x}-x^{2}e^{-x})+4y\frac{dy}{dx}-x\frac{dy}{dx} -y=0\\\\(2-x)xe^{-x}+(4y-x)\frac{dy}{dx}-y=0 \\.

if we make dy/dx  subject of formula we arrive at

(4y-x)\frac{dy}{dx}=y-(2-x)xe^{-x}\\\frac{dy}{dx}=\frac{y-(2-x)xe^{-x}}{(4y-x)}

5 0
3 years ago
The sum of three times a number d and 5 is 17?
andre [41]

Answer:

3 times 4 + 5 = 17

Step-by-step explanation:

3d+5=17

    -5  -5

________

3d = 12

__  __

3     3

d = 4  

7 0
3 years ago
a) A battalion of soldiers wanted to have a parade forming a square design with 1,536 soldiers. Is it possible ? If not how many
Dmitrij [34]
A square with 1,536 soldiers are not possible, i.e. the square root of 1,536 is about 39.191, which means that 1,536 is not a square a number. In order for it to be a square number, we have to round up 39.191 (because it says "how many more soldiers") to 40 and 40×40=1,600 and 1,600-1,536, so we need 64 more soldiers.

The greatest 4 digit number is simple. If the square root of 10,000 is 100, than, one can assume that because 100-1=99, the resulting answer of 99×99 is less than 10,000, meaning that is is 4 digits. 99×99=9,801.
3 0
3 years ago
Celia bought a bag of 12 goldfish for $3. How many goldfish can Celia get for $1.00?
Hatshy [7]

Answer:

Celia can get 4 goldfish for $1.00.

Step-by-step explanation:

If you take 12 and divide it by 3 you get 4. I hope this helps.

6 0
3 years ago
PLS I GIVE BRAINLIEST
matrenka [14]

The size of the angle QUP in the system formed by the <em>equilateral</em> triangle QUR, the <em>equilateral</em> triangle PUT and the square RUTS is equal to 150°.

<h3>How to determine a missing angle within a geometrical system</h3>

By Euclidean geometry we know that squares are quadrilaterals with four sides of <em>equal</em> length and four <em>right</em> angles and triangles are <em>equilateral</em> when its three sides have <em>equal</em> length and three angles with a measure of 60°. In addition, a complete revolution has a measure of 360°.

Finally, we must solve the following equation for the angle QUP:

<em>m∠QUR + m∠QUP + m∠PUT + m∠RUT =</em> 360

60 <em>+ m∠QUP +</em> 60 <em>+</em> 90 <em>= 360</em>

<em>m∠QUP +</em> 210 <em>=</em> 360

<em>m∠QUP =</em> 150

The size of the angle QUP in the system formed by the <em>equilateral</em> triangle QUR, the <em>equilateral</em> triangle PUT and the square RUTS is equal to 150°. \blacksquare

To learn more on quadrilaterals, we kindly invite to check this verified question: brainly.com/question/13805601

3 0
1 year ago
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