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3 years ago

Write using exponents (-4)(-4)

Mathematics

2 answers:

tia_tia [17]3 years ago

5 0

(-4)^2, that's it.
Hope it helps

Crazy boy [7]3 years ago

4 0

The exponent form of the above the question above would be $-4^{2}$

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Quality control is an important issue at ACME Company which manufacturers light bulbs. In order to conduct testing of the life h

mrs_skeptik [129]

Answer: 3424.28

Step-by-step explanation:

Given data : 378, 361, 350, 375, 200, 391, 375, 368, 321

Number of data values = 9

Mean : $\overline{x}=\dfrac{\sum^n_{i=1} x_i}{n}$

$\\\\=\dfrac{378+361+350+375+200+391+375+368+321}{9}\\\\=\dfrac{3119}{9}\approx346.56$

Variance = $\dfrac{\sum^n_{i=1} (x_i-\overline{x})^2}{n-1}$

$\sum^n_{i=1} (x_i-\overline{x})^2 = (31.44)^2+(14.44)^2+(3.44)^2+(28.44)^2+(-146.56)^2+(44.44)^2+(28.44)^2+(21.44)^2+(-25.56)^2\\\\=27394.2224$

Variance = $\dfrac{27394.2224}{8}=3424.2775\approx3424.28$

4 0

3 years ago

What is the remainder when 19x^2 + 15x + 12 is divided by x - 2?

Aleksandr-060686 [28]

Answer:

R = 118

Step-by-step explanation:

Given

Represent the polynomial with P and the divisor with D

$P = 19x^2 + 15x + 12$

$D = x -2$

Required

Determine the remainder

We start by equating the divisor to 0

i.e.

$D = 0$

$x - 2 = 0$

$x = 2$

Substitute 2 for x in the polynomial.

This gives remainder (R)

$R = 19*2^2 + 15*2 + 12$

$R = 19*4 + 15*2 + 12$

$R = 76 + 30 + 12$

$R = 118$

Hence, the remainder is 118

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3 years ago

You make $25000 a year, and you get a 10% raise. Your new salary is $____ The next year you get a 10% cut. Your new salary is $_

gtnhenbr [62]

Firstly, we have to find out what 10% of $25000 is. To do this, multiply $25000 by 0.1 (10% in decimal form): $\$25000 \times 0.1=\$2500$ . $2500 is the 10% raise.

Next, to find your first new salary, add $25000 and $2500 together: $\$25000+\$2500=\$27500$ . $27500 is your new salary after the 10% raise.

Next, we need to find 10% of $27500. It's a similar process as to finding 10% of $25000. $\$27500 \times 0.1=\$2750$ . $2750 is your 10% cut.

Next, since this is a cut, subtract $2750 from $27500. $\$27500-\$2750=\$24750$ . $24750 is your new salary after the 10% cut.

Next, to find the percentage change, firstly divide $24750 by $25000. $\frac{\$24750}{\$25000}=0.99\ \textsf{or}\ 99\%$ . Now this shows that your current salary is 99% of what you used to make. It is not how much less you make. To find how much less it is, subtract 99% from 100%: $100\%-99\%=1\%$ . Your current salary is 1% less than what you used to make.

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3 years ago

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Vinvika [58]

Some of the fertilizer can run off into streams and can harm fish and get in the streams

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3 years ago

Swimming speed of salmon. The graph is showed below shows the influence of the temperature T on the maximum sustainable swimming

Doss [256]

Answer:

Here we have the relation between the speed of the salmon and the temperature.

a) the relation dS/dT tell us how the speed of the salmon changes as the temperature changes, and the units should be (if speed is m/s and temperature is in °C )

[dS/dT ] = [m/s*°C ].

b) I can not do a draw of the figure, but i can give a aproximation.

For T = 18°C, we can see that we are around the maximum of the curve, this means that around this point we will find the zero in the first derivate.

then S'(18) ≈ 0 m/s*°C

this means that around this point the changes are small.

for T = 10°C

Around this region, we can see almost a linear behavior.

so we can take a range of +-2°C

S(12°C) = 25m/s

S(8°C) = 20m/s

then the slope can be obtained using the relation:

S = (Y2 - Y1)/(X2 - X1) where this is the slope for the line that goes trough the pairs. (X1, Y1) and (X2, Y2)

S = (25 - 20)/(12 - 8) = 5/4

then we have that S´(10°C) ≈ 5/4 m/s*°C

Those two results are approximations, you may find better approximations by doing this with a ruler and drawing the tangents.

5 0

3 years ago