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Anna35 [415]
3 years ago
11

Simplify 2^3/7 • 2^1/4

Mathematics
1 answer:
poizon [28]3 years ago
7 0

Answer:

4/7Hope this helps :)

Step-by-step explanation:

Exact form:4/7

Decimal form:0.571428

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The ground temperature at an airport is 12 °C. The temperature decreases by 5.4 °C for every increase of 1 kilometer above the g
olga_2 [115]

Decrease in the temperature: 5.4×5=27°C

Final temperature: 12-27=-15°C

6 0
3 years ago
Consider the initial value problem:
Inessa [10]

Answer:

\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2

Step-by-step explanation:

The given initial value problem is;

y''-5y'+6y=-5\sin(2t)---(1)\\y(0)=-5,y'(0)=2

Let

u(t)=y(t)----(2)\\v(t)=y'(t)----(3)

Differentiating both sides of equation (1) with respect to t, we obtain:

u'(t)=y'(t)---(4)\\ \\\implies u'(t)=v(t)---(5)

Differentiating both sides of equation (2) with respect to t gives:

v'(t)=y''(t)----(6)

From equation (1),

y''=5y'-6y-5\sin(2t)\\y''=5v(t)-6u(t)-5\sin(2t)\\\implies v'(t)=5v(t)-6u(t)-5\sin(2t)----(7)

Putting t=0 into equation (2) yields

u(0)=y(0)\\\implies u(0)=-5

Also putting t=0 into equation (3)

u'(0)=y'(0)\\u'(0)=2

The system of first order equations is:

\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2

3 0
3 years ago
If it is a rigid motion identify the type of transformation Help please
wel
A transformation is rigid if the original shape remains the same shape and size after the transformation.

Flipping a pancake:
After it is flipped, the pancake should stay the same size and shape, so it is a rigid motion and it is a rotation.

Deflating an air mattress:
Deflating a mattress changes its size, so the transformation is not rigid. This is called a dilation.

Moving a clock's minute hand:
Moving the minute hand does not change the hand's size or shape so the transformation is rigid. This transformation is a combination of a translation and a rotation. The translation is what moves the hand around the center of the clock, and the rotation is what changes the direction of the hand.

Enlarging a photo:
Enlarging a photo changes the photo's size, so this transformation is not rigid. This is called dilation.

Putting a golf ball:
Putting does not change the size or shape of a golf ball, so this transformation is rigid. Putting a golf ball both rotates and moves the ball, so the transformation is rotation and translation.

Looking in a car's rear view mirror:
Assuming the car is moving relative to something behind it(because otherwise there would be no transformation), As things come closer to the back of the car, they would appear larger in the mirror, and as things move away from the back of the car, they would appear smaller in the mirror. Because the size changes when looking at the mirror, this is not a rigid transformation and is called dilation.

7 0
3 years ago
Instructions: Find the missing side. Round your answer to the nearest tenth.
lbvjy [14]

Using the sine ratio, the length of the missing side is: 11.8.

<h3>How to Find Missing Side Using the Sine Ratio?</h3>

The sine ratio is, sin ∅ = opposite/hypotenuse.

Given the following:

∅ = 24°

Opposite = x

Hypotenuse = 29

sin 24 = x/29

x = (sin 24)(29)

x = 11.8

Learn more about the sine ratio on:

brainly.com/question/2920412

#SPJ1

4 0
2 years ago
What is 96 divided by 7 please help is is due by midnight
mojhsa [17]

Answer:

13.7142857143

Step-by-step explanation:

so just 13

8 0
3 years ago
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