The measurement 5.29 × 10⁻¹¹ meters written in the standard form is option C, 0.0000000000529 meters.
Given that:
According to the Bohr model, the radius of a hydrogen atom is approximately 5.29 × 10⁻¹¹ meters.
It is required to write this number in scientific notation in the standard form.
Here the power of the 10 is negative.
So, the decimal point has to be shifted to the left.
Now, since the number to the power is 11, the decimal points have to be shifted 11 points to the left.
After shifting 1 point, the number is 0.529 × 10⁻¹⁰.
After shifting two points, the number is 0.0529 × 10⁻⁹.
In this way,
The number will have 10 zeroes before 5.
Hence the number is 0.0000000000529 meters, which is option C.
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Rewrite the following equation in slope-intercept form. 3x − 18y = 20 Write your answer using integers, proper fractions, and improper fractions in simplest form.
What is the area of a circle with a radius of 7?
Howard planted a tree in his front yard six months, one week, and two days ago. If today is August 13th, what day did Howard plant the tree in his yard?
A. February 4
B. February 13
C. February 20
D. February 22
Answer: February 4
Step-by-step explanation:
If the height is 4.41 inches and the volume is 0.734, what will the side length of the pyramid’s base be? Is the number rational or irrational? Why?
The side length of the pyramid's base is approximately 0.7071 inches, and it is an irrational number.
To find the side length of the pyramid's base, we need to use the formula for the volume of a pyramid, which is given by:
[tex]\[ V = \frac{1}{3}Bh \][/tex]
where V is the volume, B is the area of the base, and h is the height of the pyramid.
Given that the volume V is 0.734 cubic inches and the height h is 4.41 inches, we can rearrange the formula to solve for the area of the base B :
[tex]\[ B = \frac{3V}{h} \][/tex]
Substituting the given values:
[tex]\[ B = \frac{3 \times 0.734}{4.41} \] \[ B = \frac{2.202}{4.41} \] \[ B \approx 0.5 \text{ square inches} \][/tex]
Now, assuming the base is a square (since we are looking for the side length), the area of the base B is also equal to the side length squared:
[tex]\[ B = s^2 \][/tex]
where \( s \) is the side length of the base. Therefore:
[tex]\[ s^2 = 0.5 \][/tex]
Taking the square root of both sides:
[tex]\[ s = \sqrt{0.5} \] \[ s \approx 0.7071 \text{ inches} \][/tex]
The side length of the pyramid's base is approximately 0.7071 inches.
To determine if this number is rational or irrational, we consider the definition of rational numbers. A rational number is one that can be expressed as the quotient of two integers. The square root of 0.5 can be rewritten as:
[tex]\[ s = \sqrt{0.5} = \sqrt{\frac{1}{2}} = \frac{\sqrt{1}}{\sqrt{2}} = \frac{1}{\sqrt{2}} \][/tex]
To rationalize the denominator, we multiply the numerator and the denominator by [tex]\( \sqrt{2} \)[/tex]:
[tex]\[ s = \frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{2}}{2} \][/tex]
Since [tex]\( \sqrt{2} \)[/tex] is an irrational number, the side length s is also irrational because it cannot be expressed as the quotient of two integers.
Carrie is buying bulk candy for a high school fundraiser. She buys 1000 candy bars for $350. What is the unit cost per candy bar?
A) $.30
B) $.35
C) $.45
D) $1.35
Which graph shows a proportional relationship?
A graph that shows a proportional relationship include the following; A. graph A.
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:
y = kx
Where:
y represents the y-variable.x represents the x-variable.k is the constant of proportionality.In conclusion, the characteristics for a graph that shows a proportional relationship include the following:
A straight line can be drawn through its points.
The straight line connecting the points passes through the origin.
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7 yd 2 ft = How many feet ?
Player Points
Travis 6
Marcus 7
James 17
Taylor 2
Hector 1
Julio 22
Jonah 8
Chris 11
Scott 14
The chart shows the number of points different players scored during a game. What is the ratio of Julio's points to Jonah's points?
A) 1 : 2
B) 2 : 1
C) 4 : 11
D) 11 : 4
A recipe for fruit punch uses 3 cups of apple juice for every 2 cups of grape juice. The table and graph show how many cups of each to use for different batch sizes. How many cups of grape juice do you need to make a batch that contains 12 cups of apple juice?
What is 555.555 rounded to the nearest hundredth?
Find the perimeter of a semi-circle with the diameter of 4 feet please.
there are 33 seventh graders and 27 eighth graders in band, and 9 members of the band play trumpet. What decimal describes the portion of band members that play trumpet?
I WILL GIVE BRAINLIEST!!!!
A line is shown on the coordinate grid.
Which is the equation of this line?
Question 5 options:
y = -1/3 X + 3
y = -3x - 1
y = 1/3 X - 1
y = 3x + 3
what value of x satisfies 3x + 2 = 14?
If a quadrilateral has sides that measure 4 in. and angles that all measure 90°, we can consider the quadrilateral to be a/an
a 15-ft ladder is leaning against one wall of an alley 9 ft wide. the ladder slips, its top sliding down the wall, its foot sliding across the alley and striking the opposite wall at a speed of 4 ft/sec. How fast is the top of the ladder falling at that instance?
if a 42.9ft tall flagpole casts a 253.1ft long shadow then how long is the shadow that a 6.2ft tall woman casts?
Bryce has two small buckets each containing numbered tiles. The tiles in bucket A are the odd numbers from 1 to 31, one tile per number. The tiles in bucket B are the even numbers from 2 to 32, one tile per number. Bryce draws one tile from bucket A. On the number line below "Bucket A," select the point that represents the probability of drawing a tile that is a prime number from bucket A. He then draws one tile from bucket B. On the number line below "Bucket B," select the point that represents the probability of drawing a tile that is evenly divisible by 6 from bucket B.
total number of prime numbers in bucket A = 10( 3 5 7 11 13 17 19 23 29 31)
Probability = favorable outcomes/ total outcomes = 10/31
total number of numbers evenly divisible by 6 in bucket B = 5(6 12 18 24 30)
probability = 5/31
Which shows the decimal 0.14 repeated expressed as a fraction in simplest form?
are the expressions 3(y+1) and 3y+3 equivalent for any value of y? explain.
factory A has printed 700 books and Prints 50 new books every week. Factory has printed 300 books and prints 100 books every week. How many weeks will it be before a factory B has printed as many books as Factory A?
The sum of three consecutive numbers is 57, what is the largest of these numbers
Answer:
18
Step-by-step explanation:
it is good
can you tell me the solution to -3 (p + 1) equal to -18
Please help find the area of this just need answer no work is needed
5 years = ______ months
Which formula can be used to describe the sequence? , −4, −24, −144,...
Answer:
[tex]An= -4(6)^{n-1}[/tex]
Step-by-step explanation:
−4, −24, −144,...
There is no common difference
-24/-4= 6
-144/ -24= 6
common ratio = 6
when there is a common ratio then it is an Geometric sequence
[tex]An= a1(r)^{n-1}[/tex]
a1 is the first term = -4
r is the common ratio = 6
Formula becomes
[tex]An= -4(6)^{n-1}[/tex]
Can someone please help
Someone plz help me with These questions :u have to solve for x and show work
4/9x+1/5x=87
-3.8x-5.9x=223.1
x+0.15x=3.45
-3/5x-7/10x+1/2x=-56
A swimming pool is Mark down to 695 from 1225,what is the percent markdown?
Hey! I am stuck on this, it's for class. I've been struggling with this for quite some time. So, if you have the chance. Click the picture and tell me if it's true or false using that table thingy. Now, you don't need do explain if you don't want to. But, I just need the answer, and yeah. Just tell me if it's true or false. Thanks!! :-)