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Alex777 [14]
3 years ago
6

Sixth grade math please in K12

Mathematics
1 answer:
Nat2105 [25]3 years ago
3 0

Answer:

327r6

Step-by-step explanation:

Too long, if you really need it, comment on this answer.

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Convert 18 celsius to Fahrenheit
Black_prince [1.1K]

Answer:

It's 64 degrees

Step-by-step explanation:

multiply the temperature in degrees Celsius by 2 then add 30 to get the estimated temperature

4 0
3 years ago
What is the slope of the line that passes through points (-1,5) and (2,-3)
Sonbull [250]

Answer:

-8

Step-by-step explanation:

3 0
3 years ago
A prism is dilated by a factor of 1.5. How many times larger is the volume of the resulting prism than the volume of the origina
Margarita [4]
By the term dilated we mean to say that the dimensions of the new polyhedron is increase to a certain size by that times. For the volume, this dilation scale should be cubed in order to determine the number of times the volume of new figure is larger than the original.
                                    r = (1.5)³
                                      = 3.375
Thus, the volume of the new prism is 3.375 times larger than the volume of the original prism. 
6 0
3 years ago
Read 2 more answers
Find the equation of the tangent line to the curve (a lemniscate)
olya-2409 [2.1K]

Answer:

m=\frac{9}{13} and b=\frac{40}{13}

Step-by-step explanation:

The equation of curve is

2(x^2+y^2)^2=25(x^2-y^2)

We need to find the equation of the tangent line to the curve at the point (-3, 1).

Differentiate with respect to x.

2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})

4(x^2+y^2)(2x+2y\frac{dy}{dx})=25(2x-2y\frac{dy}{dx})

The point of tangency is (-3,1). It means the slope of tangent is \frac{dy}{dx}_{(-3,1)}.

Substitute x=-3 and y=1 in the above equation.

4((-3)^2+(1)^2)(2(-3)+2(1)\frac{dy}{dx})=25(2(-3)-2(1)\frac{dy}{dx})

40(-6+2\frac{dy}{dx})=25(-6-2\frac{dy}{dx})

-240+80\frac{dy}{dx})=-150-50\frac{dy}{dx}

80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240

130\frac{dy}{dx}=90

Divide both sides by 130.

\frac{dy}{dx}=\frac{9}{13}

If a line passes through a points (x_1,y_1) with slope m, then the point slope form of the line is

y-y_1=m(x-x_1)

The slope of tangent line is \frac{9}{13} and it passes through the point (-3,1). So, the equation of tangent is

y-1=\frac{9}{13}(x-(-3))

y-1=\frac{9}{13}(x)+\frac{27}{13}

Add 1 on both sides.

y=\frac{9}{13}(x)+\frac{27}{13}+1

y=\frac{9}{13}(x)+\frac{40}{13}

Therefore, m=\frac{9}{13} and b=\frac{40}{13}.

5 0
3 years ago
2. The Soccer Club is selling T-shirts and washing cars to raise money for a summer trip. Last week, the club raised $292.50 by
Rudik [331]
15x = 292.50
Divide 15 from both sides
X= 5.85
1 T-shirt = $5.85

45x = 747.50
Divide 45 from both sides
X= 16.61

1 T-shirt = $ 16.61
7 0
3 years ago
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