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Nitella [24]
3 years ago
12

The scatter plot below shows the relationship between the outside temperature and the number of cups of hot chocolate sold at an

event. Which statement describes the data?
A. There is no association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold.
B. There is a nonlinear association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold
C. There is a positive linear association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold.
D. There is a negative linear association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold.
Mathematics
1 answer:
Alenkasestr [34]3 years ago
6 0

Answer:

B

Step-by-step explanation:

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Factorise (2t-7)²-(5t-4)² <br>with working pls​
sertanlavr [38]

Answer:

33+12t−21t^2

Step-by-step explanation:

(2t-7)²-(5t-4)²

Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (2t-7)².

4t^2−28t+49−(5t-4)²

Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (5t-4)².

4t^2−28t+49−(25t^2−40t+16)

To find the opposite of 25t^2

−40t+16, find the opposite of each term.

4t^2−28t+49−25t^2−40t+16

Combine 4t^2  and −25t^2  to get −21t^2.

−21t^2−28t+49+40t−16

Combine −28t and 40t to get 12t.

−21t^2+12t+49−16

Subtract 16 from 49 to get 33.

−21t^2+12t+33

Swap terms to the left side.

33+12t−21t^2

I hope this helped!

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What is the length of BC? Round to the nearest tenth.
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3 years ago
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Answer the following questions about the sphere whose equation is given by x2+y2+z2−8x+4y=−4. 1. Find the radius of the sphere.
Anna [14]

Answer:

we have (a,b,c)=(4,-2,0) and R=4 (radius)

Step-by-step explanation:

since

x²+y²+z²−8x+4y=−4

we have to complete the squares to finish with a equation of the form

(x-a)²+(y-b)²+(z-c)²=R²

that is the equation of a sphere of radius R and centre in (a,b,c)

thus

x²+y²+z²−8x+4y=−4

x²+y²+z²−8x+4y +4 = 0

x²+y²+z²−8x+4y +4 +16-16 =0

(x²−8x + 16) + (y² + 4y + 4 ) + (z²) -16 = 0

(x-4)² + (y+2)² + z² = 16

(x-4)² + (y-(-2))² + (z-0)² = 4²

thus we have a=4 , b= -2 , c= 0 and R=4

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3 years ago
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