Answer: A) -4.6
b) 4.6 spaces left from the original spot
c) the totaal distance travled was 18.2 cm
Step-by-step explanation:
for a you add the amounts together, if you go left that's negative so you use subtraction
for b you count the amount you have from zero
for c you add all the numbers together and forget the signs
B.) s > 0, V(s) < 0
C.) s < 0, V(s) > 0
D.) s > 0, V(s) > 0
Answer:
Option D. ,
Step-by-step explanation:
we know that
The volume of a cube is equal to
where
s is the side length of the cube
Remember that
The side length of the cube cannot be a negative number
so
The domain is all real numbers greater than zero
The volume of the cube cannot be a negative number
so
The Range is all real numbers greater than zero
nonresponse
correlation and causality
self interest
Answer:
non-response
Step-by-step explanation:
not 100% sure
a) What is q^2?
b) What is q?
c) What is p?
d) If there are 19 plants with rough seeds in a population of 100, what is the allele frequency for smooth seeds?
p² + 2pq + q² = 1 and p + q = 1
where p and q are the frequencies of the alleles (p - dominant, q - recessive), and p², q² and 2pq are the frequencies of the genotypes.
a) Since 32 plants have rough seed (recessive genotype: q²) out of 100 plants in total, then
q² = 32/100 = 0.32
b) q = √q² = √0.32 = 0.56
c) Since p + q = 1, then
p = 1 - q = 1 - 0.56 = 0.44
d) 19 plants with rough seeds (recessive genotype: q²) in a population of 100 means that q² = 19/100 = 0.19
We need to calculate p (the allele frequency for smooth seeds).
We can find q because we know q²:
q = √q² = √0.19 = 0.44
Since p + q = 1, then
p = 1 - q = 1 - 0.4 = 0.56
I followed what the other user said and I think it's correct!
a) 0.32
b) 0.56
c) 0.44
d) 0.56
Calculate:
a) the length, in cm, of the side AB on the map;
b) the length, in km, which represented by AD;
c) the area, in km², which represented by ΔADC.
The length of the side AB in cm is 9.45.
The length of the side AD in km is 1.02.
The area of ΔADC is 3.56 km².
The exterior angle of a triangle is sum of two opposite interior angles.
a)
The length of the side AB in cm on the map
∠B A C = 55 deg , ∠B C A = 77 deg
∴ ∠C A B is
We know the sum of all the interior angles of a triangle is 180 deg
So, ∠B A C + ∠B C A + ∠CAB = 180 deg
55° +77° + ∠CAB = 180 deg
∠C A B = 48°
∴ sin B= 7/AB
sin 48 deg = 7/AB
AB = 7/0.74
AB = 9.45 cm.
b)
The length of AD in km is
Again from interior angle theorem ∠ADC is
= 60 deg
So,sin 60 deg = 7/AD
0.86 = 7/AD
AD = 8.14 cm
∴AD in km is 1.02 k m s.
c)
The area of Δ ADC is
= 1/2 × AC × AD
= 1/2 × 7 × 8.14
= 28.5 cm²
So, the area in km²is
= 3.56 km².
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