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2 years ago

What temperature is 10 degrees less than 4 degrees Celsius ?

Mathematics

2 answers:

Nataly_w [17]2 years ago

5 0

4 degrees C - 10 degrees C = negative 6 degrees C

Paraphin [41]2 years ago

3 0

It would be -6 degrees Celsius because you are subtracting 10 from 4.
4-10=-6

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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

2 years ago

An 8-pound bag of tomatoes costs $5.60. At the same rate, what would be the cost of 11 pounds of tomatoes?

Evgesh-ka [11]

Here is the solution to the given problem above.
Given that for an 8 pound bag of tomatoes costs $5.60, we would want to know how much will it be for 11 pounds. First, we should know how much does it cost per pound. So 5.60 divided by 8 is 0.7. So per pound of tomatoes costs $0.7. Now to know how much for 11 pounds, we multiply 0.7 by 11 and we get $7.70. The correct answer therefore would be option C. $7.70. Hope this answer helps.

5 0

3 years ago

Solve the inequality -2x+20<2x+4

fomenos

Answer:

x<4

Step-by-step explanation:

-2x+20<2x+4

−2x+20−2x<2x+4−2x

−4x+20<4

−4x+20−20<4−20

−4x<−16

−4x/-4<-16/-4

x<4 its a open circle

8 0

3 years ago

The product of 5 and a number less 6 is 4. write the phrase as an algebraic equation.

kvasek [131]

5 + x - 6 = 4
x= 5

5 plus 5 equals 10 and 10 minus 6 is equal to 4.

3 0

2 years ago

Read 2 more answers

Daniel is printing out copies of a presentation. It takes 3 minutes to print a color copy and 1 minute to print a black-and-whit

Effectus [21]

Work the information to set inequalities that represent each condition or restriction.

2) Name the variables.

c: number of color copies
b: number of black-and-white copies

3) Model each restriction:

i) It takes 3 minutes to print a color copy and 1 minute to print a black-and-white copy.

3c + b


ii) He needs to print at least 6 copies ⇒ c + b ≥ 6


iv) And must have the copies completed in no more than 12 minutes ⇒

3c + b ≤ 12


4) Additional restrictions are c ≥ 0, and b ≥ 0 (i.e. only positive values for the number of each kind of copies are acceptable)

5) This is how you graph that:

i) 3c + b ≤ 12: draw the line 3c + b = 12 and shade the region up and to the right of the line.

ii) c + b ≥ 6: draw the line c + b = 6 and shade the region down and to the left of the line.

iii) since c ≥ 0 and b ≥ 0, the region is in the first quadrant.

iv) The final region is the intersection of the above mentioned shaded regions.

v) You can see such graph in the attached figure.

6 0

2 years ago