Answer: 4.3 × 10^6 meters, and 4.3 × 10^9 millimeters.
Explanation: In order to find the scientific notation of a large number, you want to move the decimal point to the left until you only have one digit to the left of the number, then you can count the spaces you have moved, and this will make the power of 10 that you'll add to the end. This seems a little confusing, but let's look at it through the example.
Step 1) Move the decimal point to the left until there's only one digit to the left of the decimal:
4,300,000 turns into 4.300000
Step 2) Count the number of digits you've moved.
Above, we moved 6 spaces to the left.
Step 3) Add the decimal to the front, and then 10^the number of spaces you moved
4.3 (from step one) × 10^6 (from step two)
= 4.3 × 10^6
It works the same way for the millimeter question, just convert meters into millimeters before you start the problem, and then solve it using the steps above! I hope this helped you :)
The scientific notation in meters and millimeters are
- 4.3 x [tex]10^{6}[/tex] meters
- 4.3 x [tex]10^{9}[/tex] millimeters
What is scientific notation?It is a way of writing very large or very small numbers where a number between 1 and 10 is multiplied by a power of 10.
Example:
310,000,000 can be written in scientific notation as 3.1 ✕ 10^8.
We have,
Distance = 4,300,000 meters
1 meter = 1000 millimeters
So,
4,300,000 meters = 4,300,000,000 millimeters
We can write 4,300,000 in scientific notation as:
= 4.3 x [tex]10^{6}[/tex] meters
We can write 4,300,000,000 millimeters in scientific notation as:
= 4.3 x [tex]10^{9}[/tex] millimeters
Thus the scientific notation in meters and millimeters are
- 4.3 x [tex]10^{6}[/tex] meters
- 4.3 x [tex]10^{9}[/tex] millimeters
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Which is the best definition of the term "reciprocal"?
A fraction whose denominator has the value 1.
A fraction that is the multiplicative inverse of the given fraction.
A fraction whose numerator has the value 1.
A fraction whose numerator and denominator have the same value.
A fraction whose numerator and denominator have the same value.
Step-by-step explanation:
I'm not sure but i believe is that one
The best definition of the term "reciprocal" is: A fraction that is the multiplicative inverse of the given fraction. The correct option is option B
What is fraction reciprocal?The reciprocal of a fraction is obtained by swapping the numerator and the denominator of the fraction. It is a number that, when multiplied by another number, results in a product of 1. For example, the multiplicative inverse of 2 is 1/2, because 2 × 1/2 = 1. In general, if a number "a" has a multiplicative inverse "b," then a × b = 1. However, not all numbers have multiplicative inverses.
Reciprocals are also knowns as multiplicative inverse. Multiplicative inverses are essential in various mathematical operations and concepts, including fractions and solving equations involving division.
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Use the Theorem of Pappus to find the exact volume of a general cone created by rotating a triangle with vertices ( 0 , 0 ) , ( 1 , 0 ) , and ( 0 , 8 ) around the y -axis.
The exact volume of a general Cone is [tex]\frac{8\pi}{3}[/tex]
To solve this problem, we will make use of the second theorem of Pappus. This theorem is concerned with finding the volume produced when a plane shape is rotated around an axis ( the volume of the solid of revolution ).
The theorem states:
The volume of a solid of revolution obtained by rotating a lamina F (the triangle) about a non-intersecting axis (the y-axis) lying in the same plane is equal to the product of the area A of the lamina F and the distance d traveled by the centroid of F.
That is
[tex]V=A\times d[/tex]
When the centroid travels, it forms a circumference d given by,
[tex]d=2\pi r[/tex]
Therefore
[tex]V=A\times 2\pi r[/tex]
From the diagram below,
The vertices (or, corners) of the triangle are A(0, 0), B(1, 0), and C(0,8).
G is the centroid of the triangle. The centroid of the triangle is the geometric center of the triangle. The centroid would be the balance point if a pin were to be used to balance the triangle.
r is the distance from the centroid to the axis of rotation ( the y-axis in this case). It is like saying the radius of rotation.
The things we need to find are A (the Area) and r.
Calculate A:
[tex]A=\frac{1}{2} \left| \Delta \right|[/tex]
[tex]\Delta = \left|\begin{array}{cc} x_{B}-x_{A} & y_{B}-y_{A} \\ x_{C}-x_{A} &y_{C}-y_{A}\end{array}\right|= \left|\begin{array}{cc} 1-0 & 0-0 \\ 0-0 & 8-0\end{array}\right|= \left|\begin{array}{cc} 1 & 0 \\ 0 & 8\end{array}\right|[/tex]
[tex]\Delta =8\times 1 -0\times 0=8[/tex]
[tex]A=\frac{1}{2} \left|8\right|=\frac{1}{2}\times 8=4[/tex]
Calculate r:
[tex]r=\overline{x}=\frac{x_A+x_B+x_C}{3}=\frac{0+1+0}{3}=\frac{1}{3}[/tex]
Finally, Calculate the volume, V:
[tex]V=A\times 2\pi r=4 \times2\pi\times\frac{1}{3}=\frac{8\pi}{3}[/tex]
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5/7×0.25 equals 5/7÷ What to make the equation right?
4
Step-by-step explanation:
5/7 × 0.25 = 5/7 ÷ a
25/100 = 1/a
25a = 100
a = 100/25
a = 4
How to convert the mixed number to a fraction
6 and 1 over 7?
Answer:
43/7
Step-by-step explanation:
6 1/7
First, you need to multiply 6 by 7, then add 1
43/7
Answer:
[tex]\frac{43}{7}[/tex]
Step-by-step explanation:
6 x 7 + 1
there is 6 whole fractions so it would be [tex]\frac{7}{7}[/tex] 6 times then add the [tex]\frac{1}{7}[/tex]
which would be [tex]\frac{43}{7}[/tex]
hopefully that made sense!
11) How many 1/16's are in 3/4?
Answer:
12/16 is the equivilant of 3/4 so it is 12 1/16's
Step-by-step explanation:
marking as brainliest
Answer:
3 cm
Step-by-step explanation:
area=length times width.
length=4
width must be 3 as 4x3=12
how is the radius and area of a circle proportional
Answer:
The factor '2 pi' is simply the constant of proportionality between C and R. So the area of a circle is proportional to R2 and pi is the constant of proportionality between the area and the radius of a circle.
Answer: The relationship between the area of a circle and the radius of the circle can be stated as follows: The area of a circle is proportional to the square of the radius. Written in symbolic notation: A = R 2 RELATIONSHIP 5.1 Area = x (radius) squared OR A = R 2
Step-by-step explanation:
Determine the unknown angle measures in the figure
Answer:
angle 3- 131
angle 2- 112
angle 5- 37
angle 1- 80
angle 4- 80
hope this helps :)- please crown me brainliest!!!
Step-by-step explanation:
<2 ( exterior angle ) , and exterior angle is the sum of two opposite interior angle;<2=63°+49°= 112°.
<5= 180°-31°-112°= 37°<1+<5+63°= 180° = <1=180°-63°-37°= 80°<1=<4(vertically opposite angle) = 80°.<3+49°=180°(linear pair) = <3= 180°-49°= 131°.hope this helps you.
$D$ is on side $\overline {AB}$ of $\triangle ABC.$ We know $\triangle ABC \sim \triangle ACD$ and $\angle A =48^\circ.$ If $BC=BD,$ what is $\angle B$ in degrees?
According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of the two opposite interior angles
The measure of ∠B is 44°
Reason:
The known parameters are;
The point D is on side [tex]\overline{AB}[/tex] of triangle ΔABC
ΔABC ~ ΔACD,
∠A = 48°
BC = CD
Required:
The measure of angle ∠B
Solution:
ΔBDC is an isosceles triangle
Let x, represent ∠B
Therefore, ∠BDC = x, by base angles of an isosceles triangle
Given that ΔABC ~ ΔACD, and ΔBDC is an isosceles triangle, we have;
∠ADC = 2·x by exterior angle of a triangle theorem
Given ΔABC ~ ΔACD, ∠A = ∠A, and ∠ADC = 2·x, therefore, ∠ACD = x
Which gives;
48° + x + 2·x = 180° sum of angles in a triangle theorem
[tex]x = \dfrac{180^{\circ} - 48^{\circ}}{3} = 44^{\circ}[/tex]
∠B = x = 44°
The measure of ∠B = 44°
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Plz if anyone understands this i really need an answer cuz I’m going to fail math i only have a 56% in math rn so plz help me
89/ (5/9 + 6/7)
A preson is taking test averages__________minute to read a question and ___________ minutes to answer the question it takes the person __________ minute to answer all the questions how many questions are on the test
Answer:
How long should it take to finish a 25-question test? If you give students an average of 30 seconds to one minute to answer the questions, then the average time to finish a test of this size would be around 15-30 minutes. Of course, some questions would take more time and some less.
Step-by-step explanation:
Which table contains points from the inverse of the graphed function?
The equation of the line is represented in table number 2. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
From the graph, the y-intercept is 5. Then the equation is given as,
y = mx + 5
From the graph, the equation passes through (-4, -3). Then we have
- 3 = (-4)m + 5
- 8 = - 4m
m = 2
Then the equation is given as,
y = 2x + 5
The equation of the line is represented in table number 2. Then the correct option is B.
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2.4 Find the coordinates of the figure after reflecting in the x-axis. 1. D(-5, - 4), E(-5, -2), F(-1, -2), G(-1,-4)
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
D (- 5, - 4 ) → D' (- 5, 4 )
E (- 5, - 2 ) → E' (- 5, 2 )
F (- 1, - 2 ) → F' (- 1, 2 )
G (- 1, - 4 ) → G' (- 1, 4 )
Evaluate.
-11.9
-1
Enter your answer in the box.
-11.9 -1 = -12.9
Your answer is negative 12.9
Answer:
-12.9
Step-by-step explanation:
Hope this helps you! :)
Which fraction is less than 1?
The following choices have been given to you, remember to hand in PROPER answers and not trolls. A screenshot of the page has been provided to you for help, thank you to those who helped us.
Answer:
1/5
Step-by-step explanation:
The other answers (in order) equal 5, 1 and 1/5, and 2, so the only other option left is 1/5.
The tallest living man at one time had a height of 224 cm. The shortest living man at that time had a height of 97.8 cm. Heights of men at that time had a mean of 174.21 cm and a standard deviation of 5.56 cm. Which of these two men had the height that was more extreme?
Answer:
the shorter man
Step-by-step explanation:
224 cm minus 174.21 = 49.79
49.79/5.56= approximately 9 standard deviations from the mean.
174.21 minus 97.8= 76.41
76.41/5.56= approximately 14 standard deviations from the mean.
bc the shorter man's height is more SD's away from the mean (average) height his height difference is more extreme.
I WILL GIVE YOU 100 POINTS AND THE BRAINLEST ANSWER
What percent is 29 dollars out of 122.50 and what percent of 122.50 is it?
What percent is 28.50 dollars out of 122.50 and what percent of 122.50 is it?
What percent is 33 dollars out of 122.50 and what percent of 122.50 is it?
What percent is 32 dollars out of 122.50 and what percent of 122.50 is it?
Answer:
See belowStep-by-step explanation:
What percent is 29 dollars out of 122.50 and what percent of 122.50 is it?
29/122.50*100% = 23.67%What percent is 28.50 dollars out of 122.50 and what percent of 122.50 is it?
28.50/122.50*100% = 23.27%What percent is 33 dollars out of 122.50 and what percent of 122.50 is it?
33/122.50*100% = 26.94%What percent is 32 dollars out of 122.50 and what percent of 122.50 is it?
32/122.50*100% = 26.12%Note: all results are rounded to the nearest hundredths
Given line M = ax + by + c, b ≠ 0 What is the slope of the function?
Answer:
- a/b
Step-by-step explanation:
C. Write an expression with exponents to represent the number of
great-grandchildren Mr. and Mrs. Fisk have.
Answer: Do you have a pic of the question if you do give and give brainliest for it alright
Step-by-step explanation:
What is the value of x and y? Question 6 options: x = 40 , y = 40 x = 8, y = 20 x = 8 , y = 40 x = 40, y = 20
Answer:
the triangle is isosceles triangle. so, the two angles of the same side are equal.
(5x)°=40°
x = 40/5
x = 8
40° +40°+(2y+20)°=180°
80 + 2y +20 =180°
100° +2y =180°
180°-100°=2y
80° = 2y
80°/2= y
40 = y
what adds up to positive 14 but multiplies to negative 147
Answer:
-7 x 21
this adds up to 14 and multiplies -147
The table represents a proportional
relationship between x and y. Find the value
of y when x = 38.
20
22
24
26
28
5
5.5
6
6.5
7
The value of y when x = 38 would be 9.5
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Given that table represents a proportional relationship between x and y.
we just need to solve for the slope
Therefore,
k = x/y
k = 20/5
k = 4
when x = 38
y = 1.5x
y =(1.5) 38
y = 9.5
The value of y when x = 38 would be 9.5
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Dominic jumped from a height of 14.3 feet above the surface of a pool. He traveled 18.7 feet straight down into the water. From there he traveled up 25.55 feet to the top of the biggest water slide at the pool. What is the height of the tallest waterslide?
Answer:
21.15 ft
Step-by-step explanation:
18.7 - 14.3 = 4.4 = pool depth
25.55-4.4 = 21.15 = slide height
Answer:
The height of the tallest water slide is 58.55 feet.
Step-by-step explanation:
To find the height of the tallest waterslide, we need to add the height from the surface of the pool to the point where Dominic reached before going down the water slide and the height of the water slide itself.
Dominic jumped from a height of 14.3 feet above the surface of the pool and traveled 18.7 feet straight down into the water, so his total distance from the surface of the pool to the point where he started going up the water slide is:
14.3 feet + 18.7 feet = 33 feet
From there, he traveled up 25.55 feet to the top of the water slide, so the height of the tallest water slide is:
33 feet + 25.55 feet = 58.55 feet
Therefore, the height of the tallest water slide is 58.55 feet.
At the Olympic Games, a runner won the 26.2 mile marathon race in 2 hr 4 min and 1 second. What was his average speed in mph and Km/h? Type an integer or a decimal rounded to the nearest tenths as needed. Thanks!
The average speed of the runner is 12.7 mph and 20.4 km/h
Given that the runner ran 26.2 mile in 2hr and 4 minutes, we start of by converting the time from hours and minutes into minutes and finally hours, since hours is what we need. So, we have
2hr = 120mins
+ 4 mins = 124 mins
124 mins ÷ 60 hour/mins = 2.06 hours.
This means that the runner finished the race in 2.06 hours.
If we are to find the average speed in mile per hour, we have
Average speed = distance ran ÷ time taken
Average speed = 26.2 ÷ 2.06
Average speed = 12.7 mph
From the speed in mph, we can directly convert it to km/hr by saying
1 mph = 1.609 km/h
12.7 mph = 12.7 * 1.609 = 20.4 km/hr
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Mark is baking cookies for a bake sale he needs 2 1/2 Cups of flour for each batch of cookies and he needs to make 4 1/3 Batches how much flour does Smart need to make his cookies
Answer:
I know I'm late to answer this but its 10 [tex]\frac{5}{6}[/tex] I hope this helps :D
Step-by-step explanation:
i need help with questions 1-10 i dont know how to do financial math and can i see how the work is done please
what's the square of 5
Answer :
square of 5 is 25 .
Jim drove 175 miles in 3 hours 30 minutes.
How many miles per hour did Jim drive?
Answer:
50 miles per hour
Step-by-step explanation:
50 x 3 = 150
50 x 0.50 = 25
150 + 25 = 175
Hope this helps!
The number of miles that Jim can drive in each hour will be 50 miles.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
Jim drove 175 miles in 3 hours and 30 minutes. Convert the time into hours, then we have
Time = 3 + 30 / 60
Time = 3.5 hours
The number of miles that Jim can drive is calculated as,
⇒ 175 / 3.5
⇒ 50 miles per hour
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can you simplify -3.2/0.8
Explanation:
Move the decimal point to the right one spot for each value
-3.2 turns into -32
0.8 turns into 8.0 which is the same as 8
That means the given fraction is the same as -32/8 which simplifies into -4
Question: The cost of 50 pounds of beans is how much?
Answer:
Datas are not given...............
Answer:
there is no data? pls give data
solve pls brainliest!
Answer:
m - 19 = 58
Step-by-step explanation:
Knowing that the word "difference" relates to subtraction, you should know that the equation involves a minus sign.
The problem also tells us that 58 is the difference. Basically, the word difference means the answer to a subtraction problem. So 58 is the answer to this equation.
However, we are not done yet. It says to use "m" to represent Matt's age. Thus, we can write our equation as:
m - 19 = 58.
The variable "m" goes first instead of 19 because the answer would no longer be 58. For instance, let's say m is 18, 19-18 is equal to 1...not 58.
Therefore, the correct equation is:
m - 19 = 58
Hope this helps!! :D