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3 years ago

7

Another name for reciprocal is multiplicative inverse. What are some words in every day lauguage that are similar to reciprocal

or inverse

1 answer:

Novosadov [1.4K]3 years ago

6 0

Opposite or flipped

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Solve the equation for x∈Z <br><br>-x² +8x -14 ≥ 0

kenny6666 [7]

$ax^2+bx+c=0\\\Delta=b^2-4ac\\if\ \Delta < 0\ then\ no\ solutions\\if\ \Delta=0\ then\ one\ solution:x=\frac{-b}{2a}\\if\ \Delta > 0\ then\ two\ solutions:x=\frac{-b\pm\sqrt\Delta}{2a}\\================================\\\\-x^2+8x-14\geq0\ \ \ \ |multiply\ both\ sides\ by\ (-1)\ \{change\ \geq\ on\ \leq\}\\\\x^2-8x+14\leq0\\\\a=1;\ b=-8;\ c=14\\\\\Delta=(-8)^2-4\cdot1\cdot14=64-56=8 > 0\\\sqrt\Delta=\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\sqrt2$

$x_1=\frac{-(-8)-2\sqrt2}{2\cdot1}=\frac{8-2\sqrt2}{2}=\frac{8}{2}-\frac{2\sqrt2}{2}=\boxed{4-\sqrt2}\\\\x_2=\frac{-(-8)+2\sqrt2}{2\cdot1}=\frac{8+2\sqrt2}{2}=\frac{8}{2}+\frac{2\sqrt2}{2}=\boxed{4+\sqrt2}\\\\============================$

$ax^2+bx+c=0\\\\if\ a > 0\ then\ the\ parabola\ o pen\ up\\if\ a < 0\ then\ the\ parabola\ o pen\ down\\========================\\\\a=1 > 0-therefore\ o pen\ up\ (look\ at\ the\ picture)\\\\===============================\\\\Answer:x\in\left$

$Solutions\ in\ \mathbb{Z}:\\\\\sqrt2\approx1.4\\\\threfore:4-\sqrt2\approx4-1.4=2.6\ and\ 4+\sqrt2\approx4+1.4=5.4\\\\look\ at\ the\ second\ picture:x=3\ or\ x=4\ or\ x=5\ (x\in\{3;\ 4;\ 5\})$

6 0

3 years ago

Read 2 more answers

Consider a particle moving around a circle with a radius of 38cm. It rotates from 10 degrees to 100 degrees in 11 seconds. Calcu

kifflom [539]

Step-by-step explanation:

Given that,

Radius of circle, r = 38 cm = 0.38 m

It rotates form 10 degrees to 100 degrees in 11 seconds i.e.

$\theta_i=10^{\circ}=0.174\ rad$

$\theta_f=100^{\circ}=1.74\ rad$

Let $\omega$ is the angular velocity of the particle such that, $\omega=\dfrac{\omega_f-\omega_i}{t}$

$\omega=\dfrac{1.74-0.174}{11}$

$\omega=0.142\ rad/s$

We need to find the instantaneous velocity of the particle. The relation between the angular velocity and the linear velocity is given by :

$v=r\times \omega$

$v=0.38\times 0.142$

v = 0.053 m/s

So, the instantaneous velocity of the particle is 0.053 m/s. Hence, this is the required solution.

6 0

3 years ago

Please help ill give brain

Rasek [7]

Answer:

23 r1

Step-by-step explanation:

23 R 1

28/653

-56

93 bring down three

92

=1 which is remainder

28*2=56

28*3=92

6 0

3 years ago

the perimeter of a rectangle is 34 units. it’s width is 6.5 units. write the equation to determine the length of the rectangle

zubka84 [21]

Answer:

4 units

Step-by-step explanation:

Perimeter formula is P = 2L + 2W. Here P = 34 units = 2L + 2(6.5 units).

Reducing this, 17 = L + 13. Then L = 4 units.

4 0

3 years ago

Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 7. The hypotheses H0

pshichka [43]

Answer:

(a) The value $\bar x$ = 72.3 is 1.21 standard deviations below the null value of <em>μ</em>.

(b) The mean drying time of paint is not less than 74.

Step-by-step explanation:

The hypothesis for the single mean test is:

<em>H₀</em>: <em>μ</em> = 74 vs. <em>Hₐ</em>: μ < 74.

The information provided is:

<em>σ</em> = 7

<em>n</em> = 25

As the population standard deviation is known, we will use a <em>z</em>-test for single mean.

(a)

The <em>z</em>-score is a Normal distribution with mean 0 and variance 1. It is also defined as the number of standard deviations a raw score is from the mean.

The <em>z</em>-score for sample mean is given by:

$z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}$

If $\bar x$ = 72.3 compute the corresponding <em>z</em>-score as follows:

$z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}$

$=\frac{72.3-74}{7/\sqrt{25}}\\=-1.21$

Thus, the value $\bar x$ = 72.3 is 1.21 standard deviations below the null value of <em>μ</em>.

(b)

So the test statistic is, <em>z</em> = -1.21.

Compute the <em>p</em>-value of the test as follows:

$p-value=P(Z$

*Use a <em>z</em>-table.

The decision rule says to, reject the null hypothesis if the <em>p</em>-value is less than the significance level <em>α</em> = 0.01 and vice-versa.

<em>p</em>-value = 0.1131 < <em>α</em> = 0.01

The null hypothesis was failed to be rejected.

Thus, the mean drying time of paint is not less than 74.

6 0

2 years ago