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dimulka [17.4K]
3 years ago
7

Which values are solutions to the inequality below x2<100

Mathematics
1 answer:
Pani-rosa [81]3 years ago
5 0
x^2 \ \textless \  100\iff\sqrt{x^2} \ \textless \  \sqrt{100}\\\\|x| \ \textless \  10\iff \boxed{x \ \textless \  10\ \wedge\ x \ \textgreater \  -10}\\\\x\in(-10;\ 10)
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Which angles are a linear pair
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Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

8 0
3 years ago
What is 4 times 16 in distributive property
PIT_PIT [208]
4(16) = 4(10+6) = 40 + 24 = 64
5 0
3 years ago
URGENTE, POR FAVOR
Firlakuza [10]
\mathbf A=\begin{bmatrix}a_{1,1}&a_{1,2}\\a_{2,1}&a_{2,2}\end{bmatrix}

a_{i,j}=2i-j\implies\mathbf A=\begin{bmatrix}2\cdot1-1&2\cdot1-2\\2\cdot2-1&2\cdot2-2\end{bmatrix}=\begin{bmatrix}1&0\\3&2\end{bmatrix}

Por la misma razón,

\mathbf B=\begin{bmatrix}1-1&2-1\\1-2&2-2\end{bmatrix}=\begin{bmatrix}0&1\\-1&0\end{bmatrix}

Entonces,

4\mathbf A=\begin{bmatrix}4\cdot1&4\cdot0\\4\cdot3&4\cdot2\end{bmatrix}=\begin{bmatrix}4&0\\12&8\end{bmatrix}

\mathbf A-\mathbf B=\begin{bmatrix}1&0\\3&2\end{bmatrix}-\begin{bmatrix}0&1\\-1&0\end{bmatrix}=\begin{bmatrix}1-0&0-1\\3-(-1)&2-0\end{bmatrix}=\begin{bmatrix}1&-1\\4&2\end{bmatrix}

\mathbf B^\top=(b_{j,i})_{2\times2}=\begin{bmatrix}b_{1,1}&b_{2,1}\\b_{1,2}&b_{2,2}\end{bmatrix}=\begin{bmatrix}0&-1\\1&0\end{bmatrix}

Yo no reconozco la notación "Ae"... Puedes explicarla?

a_{1,1}\cdot b_{1,1}=1\cdot0=0

a_{2,2}\cdot b_{1,2}=2\cdot1=2
6 0
3 years ago
A game is played with a fair spinner. 1,3,4,7 The spinner is spun twice and the two numbers are added to make a score. complete
SSSSS [86.1K]
We’ll use probability to answer this question.

Probability: Number of even numbers / All numbers added together.

Odd numbers: 1,3,7
Even numbers: 4

All numbers added together (amount of numbers not the numbers itself!) = 4

Amount of even numbers = 1

Probability of getting an even number is 1/4

Answer: Yes she is correct, the probability of getting an even number is 1/4.
6 0
3 years ago
The length s(t)s(t)s, (, t, )of the side of the base of a square prism is decreasing at a rate of 777 kilometers per minute and
gavmur [86]

Answer:

\frac{dA_{s}}{dt} = -148\,\frac{km^{2}}{min}

Step-by-step explanation:

The surface area of the square prism is obtained by using the following formula:

A_{s} (t) = 4\cdot l(t)\cdot h(t) + 2\cdot [l(t)]^{2}

The rate of change of the surface area can be found by deriving the function with respect to time:

\frac{dA_{s}}{dt} = 4\cdot [h(t)\cdot \frac{dl}{dt} + l(t)\cdot \frac{dh}{dt}] + 2\cdot l(t)\cdot \frac{dl}{dt}

Known variables are summarized below:

h(t) = 9\,km

l(t) = 4\,km

\frac{dh}{dt} = 10\,\frac{km}{min}

\frac{dl}{dt} = -7\,\frac{km}{min}

The rate of change is:

\frac{dA_{s}}{dt} = 4\cdot [(9\,km)\cdot (-7\,\frac{km}{min} )+(4\,km)\cdot (10\,\frac{km}{min} )] + 2\cdot (4\,km)\cdot (-7\,\frac{km}{min} )

\frac{dA_{s}}{dt} = -148\,\frac{km^{2}}{min}

3 0
3 years ago
Read 2 more answers
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