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DanielleElmas [232]

3 years ago

11

You can spend $30 on a shopping trip. You want to buy a shirt that cost $14. Write and solve an inequality that represents the a

mount of money you will have left if you buy the shirt

1 answer:

Mekhanik [1.2K]3 years ago

3 0

Answer:

30 >or equal 14 + x

x is what is left

x has to be < or equal to 16

Step-by-step explanation:

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Gemiola [76]

2 mph is the speed that he is walking

7 0

3 years ago

Arithmetic average of real nonnegative numbers is always smaller than or equal to geometric average. Group of answer choices Tru

noname [10]

Answer:

False

Step-by-step explanation:

Actually, the arithmetic average (or mean) is always greater or equal than the geometric average. This is known as the Arithmetic-Geometric inequality (AM inequality). Let a,b be two real numbers, then the AM inequality states that

$\frac{a+b}{2}\geq \sqrt{ab}$

To see that the given statement is false, consider a=1, b=3. The arithmetic mean is equal to (1+3)/2=2, and the geometric mean is equal to $\sqrt{1\cdot 3}=\sqrt{3}$ but $2>\sqrt{3}$ , contrary to the statement (arithmetic>geometric in this case).

4 0

3 years ago

The curves r1(t) = 2t, t2, t4 and r2(t) = sin t, sin 5t, 2t intersect at the origin. Find their angle of intersection, θ, correc

masya89 [10]

Answer:

Therefore the angle of intersection is $\theta =79.48^\circ$

Step-by-step explanation:

Angle at the intersection point of two carve is the angle of the tangents at that point.

Given,

$r_1(t)=(2t,t^2,t^4)$

and $r_2(t)=(sin t , sin5t, 2t)$

To find the tangent of a carve , we have to differentiate the carve.

$r'_1(t)=(2,2t,4t^3)$

The tangent at (0,0,0) is [ since the intersection point is (0,0,0)]

$r'_1(0)=(2,0,0)$ [ putting t= 0]

$|r'_1(0)|=\sqrt{2^2+0^2+0^2} =2$

Again,

$r'_2(t)=(cos t ,5 cos5t, 2)$

The tangent at (0,0,0) is

$r'_2(0)=(1 ,5, 2)$ [ putting t= 0]

$|r'_1(0)|=\sqrt{1^2+5^2+2^2} =\sqrt{30}$

If θ is angle between tangent, then

$cos \theta =\frac{r'_1(0).r'_2(0)}{|r'_1(0)|.|r'_2(0)|}$

$\Rightarrow cos \theta =\frac{(2,0,0).(1,5,2)}{2.\sqrt{30} }$

$\Rightarrow cos \theta =\frac{2}{2\sqrt{30} }$

$\Rightarrow cos \theta =\frac{1}{\sqrt{30} }$

$\Rightarrow \theta =cos^{-1}\frac{1}{\sqrt{30} }$

$\Rightarrow \theta =79.48^\circ$

Therefore the angle of intersection is $\theta =79.48^\circ$ .

8 0

3 years ago

Pedro has simplified 4/7 ÷ 5/8

Scorpion4ik [409]

Answer:

32/35 or 0.914

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

I want to see if your are smart and tell me what the answer is <br><br>50-(14+12+2(5)+2(2)+3

Solnce55 [7]

The answer is 7. If you follow the order of PEMDAS this is an easy question.

7 0

3 years ago