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solniwko [45]
3 years ago
13

You made Marcellus 3 times as tall as Dan but you dragged Marcellus’s mouth to be 5.46 times as wide as Dan’s mouth. A proportio

nal giant would have the same multiple for both.
If Dan's mouth is 4 cm wide, how many centimeters wide should Marcellus's mouth be?
Mathematics
1 answer:
garri49 [273]3 years ago
7 0

Answer:

22.34 cm wide

Step-by-step explanation:

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Which of the following statements does not describe the structure of an atom? (3 points)
Vikentia [17]

Answer: letter D. Most of the mass of an atom comes from elctron cloud

Step-by-step explanation: your welcome and have a good day

6 0
2 years ago
Read 2 more answers
The sum of first three terms of a finite geometric series is -7/10 and their product is -1/125. [Hint: Use a/r, a, and ar to rep
Alchen [17]
Ooh, fun

geometric sequences can be represented as
a_n=a(r)^{n-1}
so the first 3 terms are
a_1=a
a_2=a(r)
a_2=a(r)^2

the sum is -7/10
\frac{-7}{10}=a+ar+ar^2
and their product is -1/125
\frac{-1}{125}=(a)(ar)(ar^2)=a^3r^3=(ar)^3

from the 2nd equation we can take the cube root of both sides to get
\frac{-1}{5}=ar
note that a=ar/r and ar²=(ar)r
so now rewrite 1st equation as
\frac{-7}{10}=\frac{ar}{r}+ar+(ar)r
subsituting -1/5 for ar
\frac{-7}{10}=\frac{\frac{-1}{5}}{r}+\frac{-1}{5}+(\frac{-1}{5})r
which simplifies to
\frac{-7}{10}=\frac{-1}{5r}+\frac{-1}{5}+\frac{-r}{5}
multiply both sides by 10r
-7r=-2-2r-2r²
add (2r²+2r+2) to both sides
2r²-5r+2=0
solve using quadratic formula
for ax^2+bx+c=0
x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}
so
for 2r²-5r+2=0
a=2
b=-5
c=2

r=\frac{-(-5) \pm \sqrt{(-5)^2-4(2)(2)}}{2(2)}
r=\frac{5 \pm \sqrt{25-16}}{4}
r=\frac{5 \pm \sqrt{9}}{4}
r=\frac{5 \pm 3}{4}
so
r=\frac{5+3}{4}=\frac{8}{4}=2 or r=\frac{5-3}{4}=\frac{2}{4}=\frac{1}{2}

use them to solve for the value of a
\frac{-1}{5}=ar
\frac{-1}{5r}=a
try for r=2 and 1/2
a=\frac{-1}{10} or a=\frac{-2}{5}


test each
for a=-1/10 and r=2
a+ar+ar²=\frac{-1}{10}+\frac{-2}{10}+\frac{-4}{10}=\frac{-7}{10}
it works

for a=-2/5 and r=1/2
a+ar+ar²=\frac{-2}{5}+\frac{-1}{5}+\frac{-1}{10}=\frac{-7}{10}
it works


both have the same terms but one is simplified

the 3 numbers are \frac{-2}{5}, \frac{-1}{5}, and \frac{-1}{10}
6 0
3 years ago
What is 1(z) when z = -7/12
Firlakuza [10]
It will just be -7/12 because anything times 1 stays the same
8 0
3 years ago
Read 2 more answers
The distance d, in meters, that a rhinoceros runs in s seconds is represented by the equation d=16s. What is the constant of pro
castortr0y [4]
Time          Distance                Distance / Time
2hrs          90 miles                  90 miles / 2 hrs =  45 miles / hr
3hrs          135 miles                135 miles / 3 hrs =  45 miles / hr
5hrs          225 miles                 225 miles / 5 hrs =  45 miles / hr
6hrs          270 miles                  270 miles / 6 hrs =  45 miles / hr

Constant of proportionality is 45 miles / hr. This is the same for the four values. The unit rate is also 45 miles / hr.

Let us assume the Distance , d is directly proportional to Time, t
d α t
d = kt 
Constant of proportionality is k which is D/T
d = 45t 

3 0
3 years ago
Steve saw 313 birds during a bird-watching trip to Yellowstone National park.he observes 15 more trumpeter swans then sand hill
prisoha [69]

Answer:

82 ducky grouses, 41 trumpeter swans, 26 sand hill cranes, 164 chikadees

Step-by-step explanation:

4 0
3 years ago
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