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N76 [4]
3 years ago
5

A bottle holds 2 ounces of pixie dust. How many bottles can we fill with 13 ounces of pixie dust?

Mathematics
2 answers:
sergij07 [2.7K]3 years ago
8 0
Only 6 as 6*2=12 and it says FILL. So 7 is 1 ounce too many as 7*2=14.
andrey2020 [161]3 years ago
4 0
6 and a half bottles of pixi dust
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The probability that a given urine sample analyzed in a pathology lab contains protein is 0.73 (event A). The probability that t
KATRIN_1 [288]
The correct answer among the choices provided is the second option. Events A and B are dependent because P(A|B) P(B). And from conditional probability, we have P(A|B) = P(AintersectionB) / P(B).
Therefore, P (AintersectionB) is equal to P(A|B) × P(B).
6 0
3 years ago
Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases. r(t) = 4 cos(t)i + 4
slega [8]

Answer:

The equation to this question is "x^2+y^2=16"

Step-by-step explanation:

Given value:

\to  r(t) = 4 \cos (t)i + 4 sin(t)j + k\\where \\\\\to x(t)= 4 \cos t\\\to y(t) = 4 \sin t\\\to z(t)=1\\

\to x^2+y^2= 16 \cos^2 t +16 \sin^2 t\\\\\to x^2+y^2= 16 (\cos^2 t +\sin^2 t)\\\\\therefore (\cos^2 t +\sin^2 t =1)\\\\\to x^2+y^2= 16 (1)\\\\\to x^2+y^2= 16\\\\\to z=1

 So, the curve r(t) = 4 \cos (t)i + 4 sin(t)j + k is basically a circle, which is defined in the attachment file.

7 0
3 years ago
Find angle B. What is angle B.
julsineya [31]

Answer:

B=45 Degrees

Step-by-step explanation:

You can use law of sines to answer. Law of Sines states that \frac{sin(a)}{A} =\frac{sin(b)}{B}. That means that \frac{sin(60)}{4\sqrt{6} }=\frac{sin(b)}{8}. Multiplying 8 to both sides gives us \frac{8sin(60)}{4\sqrt{6} }=sin(b). By using inverse of sin, we get b =  sin^{-1} (\frac{8sin(60)}{4\sqrt{6} } ). Plugging that into a calculator gives us b=45 degrees.

7 0
2 years ago
8. Solve the following triangle for all missing sides and angles.
vova2212 [387]

Answer:

Parte1 :

∡B= 180 - (42 + 83)= 55°

Parte2 :

Using the law of sines : \frac{sin 42}{a} = \frac{sin 55}{175} ⇔ a = sin42 \frac{175}{sin 55} ⇔ a= 142.95

Parte3 :

Using the same law : c = sin 83\frac{a}{sin 42}  or  c= sin 83\frac{175}{sin 55}  ⇔ c= 212.04

7 0
3 years ago
Which of the following is not equal to sin⁡(-230°)?
xenn [34]

From trigonometry we know that:

if sin(\theta)=sin(\alpha)

then, \theta=n\pi+(-1)^n\alpha (where n is an integer)

This can be rewritten in degrees as:

\theta=n(180^{\circ})+(-1)^n\alpha.............(Equation 1)

Now, in our case, \alpha=-230^{\circ}

Therefore, (Equation 1) can be written as:

\theta=n(180^{\circ})+(-1)^n(-230^{\circ})..........(Equation 2)

Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of \theta that match.

For n=2, (Equation 2) gives us: \theta=2\times 180^{\circ}+(-1)^2(-230^{\circ})=360^{\circ}-230^{\circ}=130^{\circ}.

Thus, sin(230^{\circ})=sin(130^{\circ})

Now, we know that: -sin(-50^{\circ})=sin(50^{\circ})

Let n=-1, then:

\theta=(-1)\times 180^{\circ}+(-1)^{-1}(-230^{\circ})=-180^{\circ}+230^{\circ}=50^{\circ}

Thus, sin(-230^{\circ})=-sin(-50^{\circ})

Likewise, sin(-230^{\circ})=sin(50^{\circ})

Only the last option sin(-50^{\circ}) will never match sin(-230^{\circ}) because no integral value of n will ever give \theta=-50^{\circ}

Thus the last option is the correct option.

3 0
2 years ago
Read 2 more answers
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