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andrezito [222]
3 years ago
10

A cube-shaped box has a volume of 27 cubic inches. Bethany says each side of the cube measures 9 inches because 9 × 3 = 27. Is B

ethany correct? Explain your reasoning.
Mathematics
1 answer:
anastassius [24]3 years ago
7 0

Answer: Bethany is not correct

Step-by-step explanation:

The volume of the box is the product of its three dimensions, length, width, and height. The product of a number of "inches" and a "pure number" (3 has no units given) will not be "cubic inches."

_____

As it happens, the cube-shaped box with a volume of 27 cubic inches will have a height of 3 inches and a side area of 9 square inches. The edge length of the cube is 3 inches, not 9.

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Easy Points if you know math. Please help, question attached in picture.
blagie [28]

Answer:

y = 1/2x +6

Step-by-step explanation:

We have a point and a slope.  Therefore we can use the point slope form to create a line

y-y1 = m(x-x1)

y-5 = 1/2(x--2)

y-5 = 1/2(x+2)

Distribute the 1/2

y-5 = 1/2x +1

Add 5 to each side

y-5+5 = 1/2x +1+5

y = 1/2x +6

This is in slope intercept form

6 0
3 years ago
A fossilized leaf contains 18% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as
Sati [7]

Answer: The age of the fossilized leaf is 13829 years.

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

t=\frac{2.303}{k}\log\frac{a}{a-x}

where,

k = rate constant  

t = age of sample

a = let initial amount of the reactant = 100

a - x = amount left after decay process = \frac{18}{100}\times 100=18  

a) for completion of half life:  

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

t_{\frac{1}{2}}=\frac{0.693}{k}

k=\frac{0.693}{5600years}=0.00012years^{-1}

b) for finding the age

t=\frac{2.303}{0.00012}\log\frac{100}{18}  

t=13829years

The age of the fossilized leaf is 13829 years.

7 0
3 years ago
Mrs.hilt bought a one-year swimming pool pass for $390.if she makes one payment per month for one year, how much is each payment
kirill115 [55]
390/12=32.5. She is paying $32.50 per month 
8 0
3 years ago
Read 2 more answers
Find the value of x³+ y³ + z³ – 3xyz if x² + y² + z² = 83 and x + y + z = 15​
raketka [301]

identity used is

x³ + y³+ z³– 3xyz = (x + y + z) (x² + y² + z² – xy – yz – zx).

then use

(x+y+z)² = x²+y²+z²+2(xy+yz+xz)

225= 83 + 2(xy+yz+xz)

xy+yz+xz = (225-83)/2

xy+yz+xz= 142/2

xy+yz+xz= 71

ok

now use identity

x³ + y³+ z³– 3xyz = (x + y + z) (x² + y² + z² – xy – yz – zx).

now

x³ + y³+ z³– 3xyz = 15 (83 – xy – yz – zx).

= 15[83 - (71)]

= 15×12

=180

4 0
3 years ago
What central tendency means to find the number that occurs most often?
Ghella [55]

Answer:The mean is the most frequently used measure of central tendency because it uses all values in the data set to give you an average. For data from skewed distributions, the median is better than the mean because it isn't influenced by extremely large values.

Step-by-step explanation:

3 0
2 years ago
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