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3 years ago

Evaluate -5 to the power of 2

Mathematics

2 answers:

Degger [83]3 years ago

8 0

Answer:

-5²

-25

but (-5)² this means -5×-5=25

xeze [42]3 years ago

5 0

Answer:

the answer is -25

Step-by-step explanation:

-5 x -5= -25

negative x negative= negative

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Please help with 11 and 12

larisa [96]

11.k>-3(4r+3)/4r-5
12.k<(2x+2)/x+3

7 0

3 years ago

The time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H, applied to the pot

Dahasolnce [82]

Answer:

360

Step-by-step explanation:

T = K(1/H)

Whereas T = seconds

H = cooker setting

K = the constant of proportionality

T = (240/6)/(1/9) = (240/6)x9 = 360

6 0

2 years ago

A lighthouse is located on a small island 5 km away from the nearest point P on a straight shoreline and its light makes seven r

Vaselesa [24]

Answer:

Light is moving at the speed = 77.78 km/min

Step-by-step explanation:

Given:

Distance between island and point P = 5 km

Moving along the the shoreline when it is 1 km from P.

So, x = 1

From the above statement light makes seven revolutions per minute.

Therefore,

$\frac{d\theta}{dt}=\frac{7\times 2\pi\ rad}{1\ min} = 14\pi\ rad/min$

Solution:

From the given figure.

$tan\theta=\frac{x}{5}$

Substitute x = 1

$tan\theta=\frac{1}{5}$ -------------------(1)

Now, first we differentiate both side with respect to t.

$\frac{d(tan\theta)}{dt} = \frac{d}{dt}.(\frac{x}{3})$

Using chain rule.

$\frac{d(tan\theta)}{dt}.\frac{d\theta}{dt} = (\frac{1}{5})\frac{dx}{dt}$

$sec^{2} \theta.\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}$

$(1+tan^{2} \theta).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}$

Substitute $tan\theta=\frac{1}{5}$ from equation 1.

$(1+(\frac{1}{3})^{2} ).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}$

$(1+\frac{1}{9}).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}$

Substitute $\frac{d\theta}{dt}=14\pi$

$\frac{10}{9}.14\pi = \frac{1}{5}.\frac{dx}{dt}$

Applying cross multiplication rule.

$\frac{dx}{dt}= \frac{700\pi }{9}$

$\frac{dx}{dt}= 77.78\pi$

Therefore, light is moving along the shore at the speed of 77.78 km/min

6 0

3 years ago

(-3)^3(2^6)/(-3)^5(2)^2=(2)^a/(-3)^b=c/d<br> What are the values of a,b,c,and d

andreyandreev [35.5K]

Answer:

See below in bold.

Step-by-step explanation:

(-3)^3(2^6)/(-3)^5(2)^2

= (-3)^(3-5)*(2^4)

= 2^4 / (-3)^2 so a = 4 and b = 2.

2^4 / (-3)^2

= 16/9 so c = 16 and d = 9.

5 0

3 years ago

What's each mixed number that has the same denomination for 2 4/5

Arturiano [62]

The mixed number that has the same denomination for 2 4/5 is 4 3/5

4 0

3 years ago

Evaluate -5 to the power of 2​

Evaluate -5 to the power of 2