Final answer:
The number 4,321,109,432 rounded to the nearest ten million is 4,320,000,000,hence the correct option is B.
Explanation:
To round the number 4,321,109,432 to the nearest ten million, we need to look at the digit in the ten million's place and the digit to the right of it, which are 3 and 1, respectively. The rule for rounding is that if the digit to the right is 5 or greater, we round up.
In this case, the digit is 1, so we do not round up and the ten million's place remains unchanged.
Therefore, the answer is 4,320,000,000 (Option B), as every digit after the ten million's place is replaced with zero.
HALPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
what is distribution property
Marvin lives in Stormwind City and works as an engineer in the city of Ironforge. In the morning, he has 3 transportation options (teleport, ride a dragon, or walk) to work, and in the evening he has the same 3 choices for his trip home. If Marvin randomly chooses his method of travel in the morning and in the evening, what is the probability that he teleports at least once per day?
Answer:
The probability is [tex]P=\frac{5}{9}[/tex]
Step-by-step explanation:
Marvin has to randomly choose between 3 transport options.
Since the choice is random, then the probability of choosing any of the three options is the same.
The probability of teleportation in the first attempt is:
[tex]P_t = \frac{1}{3}[/tex]
So, the probability that you do not teleport is
[tex]q = 1-p\\\\q = 1-\frac{1}{3}\\\\q = \frac{2}{3}[/tex]
The probability that Marvin does not teleport when going to work and Marvin does not teleport when he returns from work is:
[tex]P = \frac{2}{3} * \frac{2}{3}\\\\P = \frac{4}{9}.[/tex]
Therefore the probability of teleportation at least once is:
[tex]P= 1-\frac{4}{9}\\\\P = \frac{5}{9}[/tex]
Giving 40 Points...need help as soon as possible
what is the solution to the linear system of equations ? x - y =4 8x + 2y =2 A. (4,0) B. (1, -3) C. (1,3) D.The system has no solution
NEED HELP ASAP , PLEASEEEEEE
What is the exact volume of the cone?
40π cm³
803π cm³
1603π cm³
160π cm³
Outline of cone with dotted line rising from middle of base to the point. Line is labeled ten centimeters. A second dotted line extends horizontally from middle of base to its edge. Line is labeled four centimeters.
Answer:
it is c
Step-by-step explanation:
The exact volume of the cone in which the outline of cone with dotted line rising from middle of base to the point is 160/3π cm³.
What is of volume of solid?Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
The volume of the cone can be given with the following formula as,
[tex]V=\dfrac{\pi r^2 h}{3}[/tex]
Here, (r) is the radius of the base of the cone and (h) is the height of the cone.
The image of the cone, whose volume has to be find out, is attached below.
The height of the cone is 10 cm long and the radius is 4 cm long. Thus put these values in the above formula as,
[tex]V=\dfrac{\pi (4)^2 (10)}{3}\\V=\dfrac{160}{3}\pi \;\;\tm cm^3[/tex]
Hence, the exact volume of the cone in which the outline of cone with dotted line rising from middle of base to the point is 160/3π cm³.
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3 to the power of n = 81. Pls explain
im need HELP!!!
m<JEF=40°
Answer:JEF has a 50 degree complement
140 degrees is the supply of JEF
If your teacher says NONE, then the complement of DON is -34 degrees.
DON is 56 degrees when supplemented
the string, that supports the stairs, makes an angle of 50° with the floor. It reaches 3.2 m up the wall. How far is the base od the stringer from the wall?
We use trigonometry to find the distance from the base of the string to the wall. The cosine of an angle in a right triangle is defined as the adjacent side length divided by the hypotenuse length. You can plug the given values into the rearranged formula and solve it.
Explanation:The question is asking about the distance from the base of the string (the part that touches the floor) to the wall. This is a typical trigonometry problem. We know that the string forms an angle of 50° with the floor and that it stretches up to 3.2 m on the wall. Given these values, we can use the cosine function to find the distance between the base of the string and the wall.
The cosine of an angle in a right triangle is defined as the adjacent side length divided by the length of the hypotenuse. In our case, you can think of the 3.2 m wall height as the 'adjacent' and the string length as the 'hypotenuse'. So, we can rearrange this relationship to solve for the base, or 'hypotenuse', of the triangle:
Length of string (hypotenuse) = Adjacent side / cos(angle)
Plugging in the values we know:
Length of string = 3.2 m / cos(50°)
After that, you can plug the numbers into a calculator to find the value in meters of the distance from the base of the string to the wall.
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On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2). What is the length of Side RT of the polygon?
4 unit
6 units
7 units
11 units
When two coordinates are given and asked to find distance between those points or length of line segment made by joining those points, then you can use the distance formula for 2 dimension.
The length of RT is given by:
Option D: 11
Given that:A side of a polygon is named RTThe endpoints of RT are R(-6, 2) and T(5, 2).To find:Length of RT
Formula of distance between two points (x,y) and (p,q) is given by:[tex]\text{Distance((x,y), (p,q))} = \sqrt{(x-p)^2 + (y-q)^2}[/tex]
Thus, we have:
[tex]|RT| = \sqrt{(-6-5)^2 + (2-2)^2} = 11 \: \rm units[/tex]
Thus, the length of RT is given by:
Option D: 11
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A plane traveled 972 miles to Berlin and back. The trip there was with the wind. It took 9 hours. The trip back was into the wind. The trip back took 18 hours. Find the speed of the plane in still air and the speed of the wind
A right rectangular pyramid is sliced parallel to the base, as shown.
What is the area of the resulting two-dimensional cross-section?
A. 15 cm²
B. 18 cm²
C. 25 cm²
D. 50 cm²
How to know that number is irrational list all things . plz
Monte performs an experiment using 2 identical graduated cylinders, each with a radius of 2 cm. The volume of the liquid in the first graduated cylinder is 188.4 cm³. The volume of the liquid in the second graduated cylinder is 314 cm³. What is the difference in the height of the liquid in the two cylinders? Use 3.14 to approximate pi. Enter your answer in the box.
Brian read 8 I/4 pages of a book in 1/6 hour at this rate what is the total number of pages of the book he will read in 1 hour
There were 3 apple, 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape?
1/100
1/50
1/45
1/25
Answer:
1/45
Step-by-step explanation:
Please need help on this
PLEASE HELP.
There is a 40% chance that you will lose $25,000 if you invest...
Can someone help me math homework
What is the arc measure of D C in degrees
The carnival owner pays the owner of an exotic animal exhibit $650 for the entire time the exhibit is displayed. The owner of the exhibit has no other expenses except for a daily insurance cost. If the owner of the animal exhibit wants to make more than $500 in profit for the 5 1/2 days, what is the greatest daily insurance rate he can afford to pay?
BRAINLIEST if right!
Find the area of the circle. Use 3.14 for π. Round to the nearest square foot.
help me.................
The graph of a function is a line that passes through the points (1,4)(1,4), (3,8)(3,8), and (6,y)(6,y). What is the value of y?
Solve for x in the diagram.
A. 25 B. 37 C. 15 D. 14
The value of the hypotenuse x is equal to 12 units.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Use the Pythagorean theorem for this. (a^2+b^2=c^2)
a=9, b=12, c=x
The value of x will be calculated as,
a² + b² = c²
9²+12²=x²
81 + 144 = x²
225 = x²
x =15
Therefore, the measure of x is 15 units.
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In this right triangle what is the approximate length of the hypotenuse side AC
A) 22.5 cm
B) 3.56 cm
C) 45 cm
D) 6.71 cm
write the equation in standard form y+2=3/5(x + 5)
The sketch shows two parallel lines cut by a transversal. Angle 1 is 58° . What is the measure of angle 7 ?
Answer: 122
Step-by-step explanation: its right on imagine math (ttm)
Name the factors in each of the following problems.
a. 6 × 12 = 72
b. 8 × 9 = 72
c. 4 × 4 = 16
d. 3 × 7 = 21
I don't understand what "factors" mean, please help. :)
the first term of a geometric sequence is 2 and the common ratio is -3 find the fifth term
Answer:
With geometric sequences, all you have to do is multiply each term by -3 until you get to the needed term.
First term: 2
Second term: 2 * -3 = -6
Third term: -6 * -3 = 18
Fourth term: 18 * -3 = -54
Fifth term: -54 * -3 = 162
The fifth term of the sequence is 162.
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