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alina1380 [7]
2 years ago
15

How to compare 10.5 to 11 and 19

Mathematics
1 answer:
Marizza181 [45]2 years ago
4 0

Answer:

Line up the decimal points. **Answer is Least to greatest: 10.5 , 11, 19**

Step-by-step explanation:

You need to line each number up.

10.5

11.0

19.0

The reason why 11 and 19 have a decimal point and zero at the end is because you need to do that in order to compare the numbers.

This problem is also a little common sense because 10.5 is the smallest, 19 is the largest while 11 is in the middle.

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Sharita does special typing jobs for scientists. she charges 13 dollars for the first 3 pages and 3 dollars for each additional
Vladimir [108]
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3 0
3 years ago
If you place a 26-foot ladder against the top of a 10-foot building, how many feet will the bottom of the ladder be from the bot
True [87]

Answer:

24 foot

Step-by-step explanation:

We are given that

Length of ladder=26 foot

Height of building=10 foot

We have to find the distance between the bottom of ladder and the bottom of building.

Pythagorus theorem:

(Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2

We have hypotenuse =AC=26 foot

Perpendicular side =AB=10 foot

Base=BC

Substitute the values in the given formula

(26)^2=(10)^2+(BC)^2

676=100+(BC)^2

(BC)^2=676-100=576

BC=\sqrt{576}=24 (Take positive because length is always positive)

BC=24 foot

Hence, the bottom of the ladder will be 24 foot  from the bottom of the building.

8 0
3 years ago
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solong [7]

Answer:

Step-by-step explanation:

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3 0
3 years ago
1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING
iogann1982 [59]

If

y=\displaystyle\sum_{n=0}^\infty a_nx^n

then

y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n

The ODE in terms of these series is

\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0

\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0

\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}

We can solve the recurrence exactly by substitution:

a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0

\implies a_n=\dfrac{(-2)^n}{n!}a_0

So the ODE has solution

y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}

which you may recognize as the power series of the exponential function. Then

\boxed{y(x)=a_0e^{-2x}}

7 0
3 years ago
An engineering student is studying the effects of cryogenic treatments on a particular material. The treatment involves cooling
kvv77 [185]

The true statement about the graph from the attached image below is: The material's temperature reaches a minimum at 15 hours.

<h3>What is the parabolic graph of the quadratic equation?</h3>

The parabolic graph is a curved U-shaped graph that is established from a quadratic equation.

The parabola of the graph can be downward creating a maximum or upward (minimum).

From the given image, the correct interpretation shows that as a result of cryogenic treatment, the material's temperature reaches a minimum at 15 hours.

Learn more about parabolic graphs here:

brainly.com/question/33428

#SPJ1

8 0
2 years ago
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