Write in powers of 10 notation: 3 trillion; five-thousandths; 730,000,000,000,000; 0.000000000082.
Answers
The numbers in power of 10 notation would be :
3 trillion is expressed as 3 × 10¹².
Five-thousandths (0.005) are expressed as 5 × 10⁻³.
730,000,000,000,000 is expressed as 7.3 × 10¹⁴.
0.000000000082 is expressed as 8.2 × 10⁻¹¹.
3 trillion:
In standard form: 3,000,000,000,000
In powers of 10 notation: 3 × 10¹²
Explanation: In this number, 3 is multiplied by 10 raised to the power of 12, indicating that it is 3 followed by 12 zeros. This notation is particularly useful when dealing with very large numbers like the national debt or astronomical distances.
Five-thousandths (0.005):
In standard form: 0.005
In powers of 10 notation: 5 × 10⁻³
Explanation: Here, 5 is multiplied by 10 raised to the power of -3, indicating that it is 5 divided by 1,000 (10³). This notation helps represent fractions or very small quantities.
730,000,000,000,000:
In standard form: 730,000,000,000,000
In powers of 10 notation: 7.3 × 10¹⁴
Explanation: In this case, 7.3 is multiplied by 10 raised to the power of 14, indicating that it is 7.3 followed by 14 zeros. This notation simplifies the expression of extremely large numerical values.
0.000000000082:
In standard form: 0.000000000082
In powers of 10 notation: 8.2 × 10⁻¹¹
Explanation: Here, 8.2 is multiplied by 10 raised to the power of -11, indicating that it is 8.2 divided by 100 billion (10¹¹). This notation is useful when working with very small decimal fractions, such as in scientific measurements.
Powers of 10 notation with superscripts provides a clear and concise way to represent numbers across a wide range of scales, from the macroscopic to the microscopic, making it a fundamental concept in scientific notation.
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5 thousanths= 5X10^-3
730000000000000= 7.3X10^14
0.000000000082= 8.2X10^-11
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Sachi wants to throw a water balloon to knock over a target and win a prize. The target will only fall over if it is hit with a force of 0.035 N. The water balloon has a mass of 11.4 grams. How fast will Sachi have to make the water balloon accelerate to hit the target with enough force and win the prize?Round the answer to the nearest one tenth m/s2.The water balloon must accelerate m/s2.
Answers
The magnitude of her velocity with respect to the shore will be 5.70 Km/h. The change of displacement with respect to time is defined as velocity.
What is velocity?
Velocity is defined as the change in displacement with respect to time. The quantity of velocity is a vector quantity. It is a component that is time-based. It is measured in meters per second.
The given data in the problem is;
Q is the magnitude of Velocity of the boat = 4.5 km/hr
P is the magnitude of Velocity of the river flowing = 3.5 km/hr
R is the resultant of velocity P and Q=?
θ is the angle between the two velocities = 90°
From the law of vector addition;
Hence the magnitude of her velocity with respect to the shore will be 5.70 Km/h.
To learn more about the velocity refer to the link;
Answer: The magnitude of her velocity ( v ) with respect to the shore is 5.70 km/h.
Explanation:
Magnitude of Velocity of the boat = Q
Magnitude of Velocity of the river flowing = P
R = Resultant velocity due to velocity of boat and velocity of river.
Applying Law of triangles of vector addition :
From the figure attached:
P = 3.5 k/h, Q = 4.5 km/h
The magnitude of her velocity ( v ) with respect to the shore is 5.70 km/h.
Answers
X chromosome only
B.
Y chromosome only
C.
X and Y chromosomes
D.
egg cells do not contain sex chromosomes
A pea plant is heterozygous for height (Tt). Which allele will be carried by a pollen grain produced by the plant?
A.
T only
B.
t only
C.
T and t
D.
T or t
Which term describes the example below?
A white cat has a mother that is homozygous dominant and a father that is homozygous recessive.
A.
homozygous dominant
B.
homozygous recessive
C.
heterozygous
D.
female
E.
male
Which term describes the example below?
A rabbit’s cells have two sex chromosomes that are different.
A.
homozygous dominant
B.
homozygous recessive
C.
heterozygous
D.
female
E.
male
Which term describes the example below?
A child with no freckles has a mother who has freckles and is heterozygous and a father who has no freckles and is homozygous recessive.
A.
homozygous dominant
B.
homozygous recessive
C.
heterozygous
D.
female
E.
male
Which term describes the example below?
A child with a widow’s peak has a mother who is homozygous dominant for a widow’s peak and a father who is homozygous dominant for a widow’s peak.
A.
homozygous dominant
B.
homozygous recessive
C.
heterozygous
D.
female
E.
male
Which term describes the example below?
A puppy’s cells have two sex chromosomes that are the same.
A.
homozygous dominant
B.
homozygous recessive
C.
heterozygous
D.
female
E.
male
Answers
2. T or t
3. heterozygous
4. male
5. homozygous recessive
6. homozygous dominant
7. female
Answers
Answer: 25 N
Explanation:
the fist hit by the black belt Alice in the Taekwondo has been given to have a mass of 0.5 kg which acquires a velocity of 5 m/s in a time of 0.1 sec, therefore, the average net force which is being applied to the fist can be calculated by the following method,
Given, mass m=0.5 kg, velocity v=5 m/s, time t=0.1 sec
As we know that, acceleration
Thereby,
Answer:
25N
Explanation:
Find acceleration first
A=v-u/t
acceleration = 5/0.1s =50m/s^2
then find net force using f=mass x acceleration, which iin this case is 25N
Answers