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2 years ago

Evaluate the following expression by applying the appropriate properties (24) 3 (31.7)/ 172

Mathematics

1 answer:

ale4655 [162]2 years ago

7 0

−3/7×14/15×7/12×(−30/35)

=(−3/7×14/15)×(7/12×−30/35)

On further calculation, we get

=−2/5×−1/2

We get,

=1/5.

Property 1:

If a/b is a rational number and m is a non-zero integer then a/b =(a*m)/(b*m). In other words, we can say that the rational number remains unaltered if we multiply both the numerator and denominator with the same integer. Ex: 2/3 = 2*2/3*2 = 4/6, 2*3/3*3 = 6/9, 2*4/3*4 = 8/12.

Math Properties

Commutative Property.

Associative Property.

Distributive Property.

Identity Property.

Inverse Property.

Learn more about appropriate properties at

brainly.com/question/23576294

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The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in h

Vlad [161]

Answer:

Step-by-step explanation:

I really hope you know how to use your calculator to find regression equations, because in this forum it is impossible to teach you how to do that. I ran the data through my calculator and got the exponential equation as

$y=1963.56(1.14)^x$ which means at 4 hours, we started with 1963 bacteria and it is growing at a rate of 114% each hour. Since we started out with an x value of 0, and that value represents the number of bacteria after 4 hours, then time 0 is 4 hours, which means that time 12 is 16 hours. We replace the x in the equation with a 12 and do the math:

$y=1963.56(1.14)^{12$ which gives us, in the end,

y = 9460

4 0

3 years ago

The highest common factor of two DIFFERENT numbers 21 and Δ is 21.

nadezda [96]

Step-by-step explanation:

it is a multiple of 21.

the highest common factor of 2 numbers is the longest combination of prime factors they have in common.

the prime factors of 21 are simply

3×7

if another number A shares this as the longest combination of prime factors, that means it contains 3×7 itself in its prime factors.

and that means this number A can only be a multiple of 3×7 (= 21), as other prime factors present would be the factor of 21.

5 0

2 years ago

Alyssa said that 6/8 and 9/12 are not equivalent because there's no whole number you can multiply both parts of 6/8 by to get 9/

luda_lava [24]

No. 6/8=9/12
by multiplying the denominators you get the common denominator of 72
then multiply each numerator by the number of the opposite denominator
8x12=96
6x12=72
9x8=72
Therefore, 72/96=72/96
(6/8 = 9/12)

5 0

3 years ago

Read 2 more answers

Use the Green's Theorem to calculate the work done by the field [ F (x, y) = -3y^5 i + 5y^2x^3 j ] to move a particle along the

lianna [129]

$\displaystyle\int_C\mathbf F\cdot\mathrm d\mathbf r=\iint_R\left(\frac{\partial(5y^2x^3)}{\partial x}-\frac{\partial(-3y^5)}{\partial y}\right)\,\mathrm dx\,\mathrm dy$

$\dfrac{\partial(5y^2x^3)}{\partial x}=15y^2x^2$
$\dfrac{\partial(-3y^5)}{\partial y}=-15y^2$

$=\displaystyle\int_{x=-2}^{x=2}\int_{y=-\sqrt{4-x^2}}^{y=\sqrt{4-x^2}}15y^2(x^2+1)\,\mathrm dy\,\mathrm dx$

Converting to polar coordinates, the integral is equivalent to

$=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=2}15r^3\sin^2\theta(r^2\cos^2\theta+1)\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle15\int_0^{2\pi}\int_0^2\left(\frac{r^5}4\sin^22\theta+r^3\sin^2\theta\right)\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\frac{15}4\left(\int_0^2r^5\,\mathrm dr\right)\left(\int_0^{2\pi}\sin^22\theta\,\mathrm d\theta\right)+15\left(\int_0^2r^3\,\mathrm dr\right)\left(\int_0^{2\pi}\sin^2\theta\,\mathrm d\theta\right)$
$=100\pi$

6 0

3 years ago

If a= -9 and b= -4, what is the value of a + b?

Anna007 [38]

Answer:

-13

Step-by-step explanation:

a=-9 and b= -4

-9 + -4=

-13

HOPE IT HELPS!!!!

PLEASE MARK BRAINLIEST!!

4 0

4 years ago

Read 2 more answers