Scientific notations are the way through which a very small or a very large number can be written in shorthand. The area of Greenland in scientific notation is 8.4×10⁵ square miles.
What are Scientific notations?Scientific notations are the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5e+12.
The given area of Greenland is 840,000 square miles. Therefore, the area of Greenland in scientific notation can be written as,
Area of Greenland = 840,000 square miles
= 8.4 × 10⁵ square miles
Hence, the area of Greenland in scientific notation is 8.4×10⁵ square miles.
Learn more about Scientific notation here:
https://brainly.com/question/1740231
#SPJ2
You are timing a kitchen floor that is 10 ft wide and 4 yd long. How many square yards of tile do you need?
1 yard = 3 ft
10/3 = 3 1/3 yards
3 1/3 x 4 = 13 1/3 square yards
A certain stock gained 5 points in one day and lost 4 points the next day. Which situation has the greater absolute value?Explain
Write the equation of the sphere in standard form. x2 + y2 + z2 + 4x − 6y − 6z = −6
To put the given equation of a sphere in standard form, complete the square for x, y, and z, and combine constant terms on the right side. The standard form of the sphere's equation is (x + 2)2 + (y - 3)2 + (z - 3)2 = 28, with a center at (-2, 3, 3) and a radius of √28.
Explanation:To write the equation of the sphere in standard form, we will complete the square for the x, y, and z terms in the given equation x2 + y2 + z2 + 4x − 6y − 6z = −6.
First, we organize the variables and separate the constants:
x2 + 4x + y2 - 6y + z2 - 6z = -6
We then complete the square for each variable by adding and subtracting the square of half the coefficient of the linear term:
x2 + 4x + 4 - 4 + y2 - 6y + 9 - 9 + z2 - 6z + 9 - 9 = -6
Now we can rewrite this as:
(x + 2)2 - 4 + (y - 3)2 - 9 + (z - 3)2 - 9 = -6
Combining the constant terms on the right side we get:
(x + 2)2 + (y - 3)2 + (z - 3)2 = 4 + 9 + 9 + 6
Which simplifies to:
(x + 2)2 + (y - 3)2 + (z - 3)2 = 28
The sphere's center is located at (-2, 3, 3) and has a radius of √28. In standard form, the equation of the sphere is:
(x + 2)2 + (y - 3)2 + (z - 3)2 = 28
The inequality of the most people that can be seated in the auditorium
5. A packet of razors and a bar of soap cost £5.50. If the soap costs £2.50 less than the razors, find the cost of each.
find the circular cylinder of largest lateral area which can be inscribed in a sphere of radius R=4 feet
In march 1989 the exxon valdez ran aground and spilled 240,000 barrels of crude petroleum off the coast of alaska. one barrel of petroleum is equal to 42 gal. how many liters of petroleum were spilled?
Ken says that 9,138 rounded to the nearest thousand is 9,100
Can the square root of 2 be written as an infinitely long fraction
Write -38.375 as a mixed number in simplest form.
What is the square root of 112 simplified?
What value of c makes the statement true? -2x3(cx3 + x2) = -10x6 - 2x5
Answer: The required value of c that makes the given statement true is 5.
Step-by-step explanation: We are given to find the value of c that makes the following statement TRUE :
[tex]-2x^3(cx^3+x^2)=-10x^6-2x^5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the value of c, we need to equate the coefficients of the same powers of the unknown variable x.
From equation (i), we have
[tex]-2x^3(cx^3+x^2)=-10x^6-2x^5\\\\\Rightarrow -2cx^{3+3}-2x^{3+2}=-10x^6-2x^5\\\\\Rightarrow -2cx^6-2x^5=-10x^6-2x^5.[/tex]
Equating the coefficients of [tex]x^6[/tex] on both sides of the above equation, we get
[tex]-2c=-10\\\\\Rightarrow c=\dfrac{-10}{-2}\\\\\Rightarrow c=5.[/tex]
Thus, the required value of c that makes the given statement true is 5.
Toss a fair coin 10 times what is the probability of getting 7 heads
Please help with this! Thanks!
B: measure of BCD=45; acute
C: measure of BCD=90; right
D: measure of BCD=42; acute
E: measure of BCD=17; acute
3x-6 = 2x+11
3x = 2x+17
x = 17
3(17)-6 = 45
2(17)+11 = 45
45+45 = 90
answer is C 90 degrees:right
please round to the nearest tenth if possible.
The distribution of the time it takes for different people to solve a certain crossword puzzle is strongly skewed to the right, with a mean of 30 minutes and a standard deviation of 15 minutes. the distribution of z-scores for those times is
The distribution of the z-scores for the time it takes to solve a crossword puzzle that is strongly skewed to the right with a mean of 30 minutes and a standard deviation of 15 minutes can be calculated using the formula z=(x-mean)/standard deviation. Z-scores can be used to determine how far a data point is from the mean in terms of standard deviations.
Explanation:The distribution of the time it takes for different people to solve a certain crossword puzzle is strongly skewed to the right, with a mean of 30 minutes and a standard deviation of 15 minutes. The distribution of z-scores for those times can be calculated using the formula:
z = (x - mean)/standard deviation
For example, if a person takes 45 minutes to solve the puzzle, the z-score would be:
z = (45 - 30)/15 = 1
This means that the person's time is one standard deviation above the mean.
Learn more about Z-scores here:https://brainly.com/question/15016913
#SPJ3
You have one liter of lemonade concentrate that contains 10% sugar. you pour one fourth of it into a pitcher and you add water to make the final volume one liter, what is the percentage of sugar in the new pitcher?
The permiter of a triangle is 100 feet. the longest side is 3 feet less than twice the shortest side, and the third side is 7 feet longer than the shortest side. find the lengths of the sides of the triangle
A bank's monthly charge for maintaining an account is $.45 for each check written plus a service charge of $12.50. If x represents the number of checks written during the month, which function models this situation?
Answer:
0.45x + 12.50
Step-by-step explanation:
What is the square root of 120 rounded to the nearest hundredths?
Answer:
The value of the square root of 120 is 10.95
What is square root ?
Square root of the number is the factor that we can multiply by itself to get that number .
If square of a number is equal to another number than we can write
m = n²
And after taking root to both side
√m = √n²
We can cancel the square with root and
√m = n
We know the prime factor of 120
120 = 2x2x2x3x5
So the square root of 120 will be
√(2x2x2x3x5)= 2 √(2x3x5)
= 2 √(30)
And we know the value of √(30) = 5.477
Root of 120 = 2x5.477
= 10.95
Hence , the square root of 120 is 10.95 .
To learn more about finding square root click :
brainly.com/question/46686109
#SPJ5
Is the remainder supposed to be this big of a number? Did I mess something up?
please help asap need for test
What is the m∠ABC?
m∠ABC = 15°
m∠ABC = 45°
m∠ABC = 60°
m∠ABC = 75°
Answer:
60 my vros
Step-by-step explanation:
Find the sum of the polynomials below: (7x8 + 3x - 3) + (4x8 + 2x + 5)
What is the rule about significant figures when multiplying and dividing measurements?
Write the equation of the line that passes through (2, 4) and has a slope of –1 in point-slope form.
x – 4 = –1(y – 2)
x – 2 = –1(y – 4)
y – 2 = –1(x – 4)
y – 4 = –1(x – 2)
y -
y1 = m (x - x1)
where m is the slope and (x1 , y1) is the point given
We are given:
m= -1
the point is (2, 4)
Then:
y - y1 = m (x - x1)jennifer earns $39 for 6 hours of babysitting.how much will she earn for 10 hours
Write and solve an equation to solve the problem. Lisa is 4 centimeters taller than her friend Ian. Ian is 8 centimeters taller than Jim. Every month, their heights increase by 2 centimeters. In 4 months, the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height. How tall is Ian now? Let h be Ian's height today in centimeters.
(h + 8) + (__) + 8 = ( __) + 8 + 140
Ian is __ centimeters tall now.
Josh wants to make a set of 12 ceramic cups. He figures he'll need 0.75 of a pound of clay for each cup. How many pounds of clay does Josh need in all?
A.) 8.4 pounds
B.) 9 pounds
C.) 12.75 pounds
D.) 16 pounds
multiply 12 x 0.75
12 x 0.75 = 9
answer is B. 9 pounds
Answer:
Josh will need 9 pounds Option B.
Step-by-step explanation:
Josh wants to make a set of 12 ceramic cups.
For each cup he will need 0.75 pound of clay
We have to calculate how many pounds of clay does Josh need for 12 ceramic cups. So we have to multiply 12 cups by 0.75.
for 12 cups he will need = 12 × 0.75 = 9 pounds.
Josh will need 9 pounds to make a set of 12 ceramic cups.
A teacher had $57.72 in his checking account. He made a deposit of $209.54. Then he wrote a check for $72.00 and another check for $27.50. What is the new balance in his checking account?
What is 1/12 (12-v)=1/6(v-6)