All categories

3 years ago

How do the two interger chip models show that -9-(-4) is the same as -9+4?

Mathematics

1 answer:

natali 33 [55]3 years ago

8 0

Answer:

Two negatives together get a positive

Step-by-step explanation:

-9-(-4)

-(-4)

You might be interested in

Write and equation for the line that has a slope of one half and passes through the point 2,4

jekas [21]

The equation in slope intercept form is

Y=.5x+3

8 0

3 years ago

In 2010, the population of a city was 241,000. From 2010 to 2015, the population grew by 5%. From 2015 to 2020, it fell by 4%. T

lawyer [7]

Answer:

242, 900 people

Step-by-step explanation:

To begin, it says that the population grew by 5%.

(241000)(1.00 + 0.05) = <em>population of the city in 2015</em>

(241000)(1.05) = 253050

253050 is the population of the city in 2015. From 2015 to 2020 it fell four percent.

(253050)(1.00 - 0.04) = <em>population of the city in 2020</em>

(253050)(0.96) = 242928

242928 is the exact population of the city. However, it says to round to the nearest hundred. Since 28 is less than 50, then it would round down to 900.

Therefore, the answer would be 242, 900 people.

4 0

2 years ago

Neal estimated √50 by determining that the two perfect squares nearest 50 are 49 and 64. Select the two consecutive whole number

slavikrds [6]

Answer:

7 and 8

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Y varies directly with X and has a constant rate of change of 6. When the value of Y is 11, then the value of X could be _____.

Bogdan [553]

Answer: The correct option is (B) less than 2.

Step-by-step explanation: Given that Y varies directly with X and has a constant rate of change of 6.

We are to find the possible value of X when the value of Y is 11.

Since Y varies directly with X, so we can write

$Y\propto X\\\\\Rightarrow Y=kx~~~~~~~~~~~~~~~(i),~~~~~~~~~\textup{[where 'k' is the constant of variation]}$

Since the rate of change is constant and is equal to 6, so we must have

$k=6.$

So, from equation (i), we have

$Y=kX\\\\\Rightarrow Y=6X~~~~~~~~~~~~~~~~~~~~~~(ii)$

Now, when Y = 11, then from equation (ii), we get

$Y=6X\\\\\Rightarrow 11=6X\\\\\Rightarrow X=\dfrac{11}{6}$

Thus, the value of X is less than 2 when Y = 11.

Option (B) is CORRECT.

8 0

3 years ago

Evaluate the given integral by making an appropriate change of variables, where r is the rectangle enclosed by the lines x - y =

vova2212 [387]

$\begin{cases}u=x-y\\v=x+y\end{cases}$

$\mathbf J=\dfrac{\partial(u,v)}{\partial(x,y)}=\begin{bmatrix}\dfrac{\partial u}{\partial x}&\dfrac{\partial u}{\partial y}\\\\\dfrac{\partial v}{\partial x}&\dfrac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&-1\\1&1\end{bmatrix}$
$\implies\det\mathbf J=2$

The area of the region is then given by

$\displaystyle\iint_R\mathrm dA=\int_{u=0}^{u=7}\int_{v=0}^{v=6}2\,\mathrm dv\,\mathrm du=84$

6 0

3 years ago