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Explanation:
The uppercase E represents "ten to the"
So saying E8 means "ten to the 8th power"
In other words, 9.837 E 8 = 9.837 * 10^8
The exponent positive 8 tells us to move the decimal point over to the right 8 spots.
So that's how we go from 9.837 * 10^8 to 983,700,000
There are 5 zeros in that value after the "9837" portion.
When we move from 9.837 to 9837.0, that's exactly 3 spots so far. Then the decimal point has to move another 5 spots to go from 9837.0 to 983,700,000 which is therefore 3+5 = 8 total shifts to the right.
The number 983,700,000 is slightly over 983 million. If anything, it's more closer to 984 million.
Answer: Standard Form = 983, 700, 000
Step-by-step explanation:
Concept:
The term "E" is usually used in calculators or on-screen which stands for exponents. It has been used to display numbers in scientific notations.
Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form. Usually in the form of [ a × 10ᵇ ] where a is a number 0<a<10 and b are integer exponents.
"E" in simpler words is basically the base "10" in scientific notation, while the number after "E" would be the exponents on "10"
Solve:
Given = 9.837 E 8
"E" = 10
"8" = ⁸
E 8 = 10⁸
10⁸ basically means that there are 8 zeros after 1.
Therefore, to find the standard form of 9.837E8, we have 3 zeros to get 9.837 to become an integer, then add the remaining 5 zeros at the end to get the final answer.
9.837 × 10⁸ = 983,700,000Hope this helps!! :)
Please let me know if you have any question
A triangle and a parallelogram have the same base and the same area.
If the sides of the triangle are 26 cm, 28 cm and 30 cm and the
parallelogram stands on the base 28 cm. Find the height of the
parallelogram.
Answer:
12 centimeters
Step-by-step explanation:
The side lengths of the triangle are: 26, 28, and 30 centimeters
a = 26 cm, b = 28 cm, c = 30 cm
To find the area, we first must find the semi-perimeter with the following equation:
s = (a+b+c)/2
= (28+26+30)/2
= 42 centimeters
Now, to find the area, we can use Heron's formula:
A = [tex]\sqrt{s (s-a)(s-b)(s-c)}[/tex]
[tex]\sqrt{42(42-28)(42-26)(42-30)[/tex]
[tex]\sqrt{42(14)(16)(12)}[/tex]
[tex]\sqrt{112896}[/tex]
336 squared centimeters
Since the area of the parallelogram is equal to the area of our triangle:
Area of Parallelogram = Area of Triangle
base ⋅ height = 336 squared centimeters
28 ⋅ height = 336 squared centimeters
height = 336/28
height = 12 centimeters
Can someone help me with this math homework please!
Answer:
Post them individually
Step-by-step explanation:
1. B
2. 4th option ,----> Megan's at 2.5 per week
Megan's plant:
slope = 7-4.5/2-1 = 2.5= growth rate
Suzanne's plant:
slope = 7-5/2-1= 2 = growth rage
3.D
4 2nd option , $2 for each song
Rate of change = 6-4/3-2 = 2
What are the final coordinates for the figure?
Answer:
2
Step-by-step explanation:
Reflection over y axis rule
(x,y) --------> (-x,y)
Rule explained:
Simply change the sign of the x value and keep the y value as it it
Coordinates of A (-4,0)
Apply reflection over y axis rule
(-4,0) -----> (4,0)
Next we want to apply a translation with the rule ( x - 5 , y + 2 )
Explanation of rule:
Simply subtract 5 from the x value and add 2 to the y value
Current coordinates of A (4,0)
Apply translation rule
(4,0) -------> ( 4 - 5 , 0 + 2 ) --------> (-1 , 2 )
The y value of coordinate A would be 2 after all of the transformations
When you look at the two cylinders with these values of r and h, what do you notice about the proportions of the cylinders?
Answer and Explanation:
Volume of a cylinder is given by
V= Pi*r²*h
where v= volume of the cylinder
Pi is constant = 22/7 or 3.14159
r= radius of the circle of the cylinder
h= height of the cylinder
If two cylinders are measured proportionally to the other based on radius and height of each cylinder, we look at the proportional equality of the ratio of the radius and height of one cylinder to the other. If one cylinder for example has ratio of radius and height =2/4 then it is proportional to the other cylinder with ratio 1/2
Answer: One of the cylinders is short and wide, while the other is tall and thin.
sunayana borrowed a sum of Rs 25000 at 12 %p.a simple interest for 1 years 6 months and lent to bishwant at the same rate of compound interest compounded half-yearly for the same interval of time . How much profit did she make
Answer: Rs 275.40
Step-by-step explanation:
Since Sunayana borrowed a sum of Rs 25000 at 12 %p.a simple interest for 1 years 6 months, the total amount that she's expected to pay will be calculated thus:
First, well calculate the interest. This will be:
= PRT/100
= (25000 × 12 × 1.5 / 100)
= 4500
Total amount to be paid back will be:
= Rs 25000 + Rs 4500
= Rs 29500
Since she lent the money to Bishwant, the total amount that Bishwant will pay will be:
A = P(1 + r)^t
where,
A = Final Amount
P= Principal = 25000
r= Rate of interest =
t= Time = 3 cycles
Since it's compounded half yearly, then 1½ywars will be = 1½ × 2 = 3 cycles
The rate will be = 12%/2 = 6% yearly.
We'll then slot the values into the question and this will be:
A = P(1 + r)^t
A = 25000(1 + 0.06)³
A = 25000(1.06)³
A = 25000 × 1.191016
A = 29775.4
Therefore, Bishwant is expected to pay Rs 29775.4
Then the profit that Sunayana is expected to make will be:
= Rs 29775.4 - Rs 29500
= Rs 275.40
Find the value of x for which ABCD must be a parallelogram
a. 7
b. 2
c. 1
d. 4
Step-by-step explanation:
x+3=2x-1
x-2x=-1-3
-x=-4
x=4
Which segment is the hypotenuse?
Answer:
SU
Step-by-step explanation:
The hypotenuse is opposite the right angle
The hypotenuse is US or SU
We have to pick,
The segment which is hypotenuse,
Hypotenuse will be the opposite segment of the right angle.
Now it will be,
→ SU (or) US
Hence, SU is the hypotenuse.
Arnold makes a chart to summarize what happens when light interacts with matter and is reflected. Which idea does Arnold need to correct? In specular reflection, reflected rays move in the same direction. In scattering, light strikes particles in the atmosphere. In diffuse reflection, reflected rays move in different directions. In scattering, long wavelengths are scattered the most.
Answer:
In diffuse reflection, reflected rays move in different directions.
Step-by-step explanation:
Reflection refers to the bouncing off of light from a surface. Reflection can be regular or diffuse.
Regular reflection occurs when light bounces off a well polished surface while diffuse reflection occurs when light bounces off a rough surface.
During diffuse reflection, light is reflected in different directions.
Answer:
In scattering, long wavelengths are scattered the most.
Step-by-step explanation: took the test for Edg 21
a sweater was 48$ but its now 2/3 of it original price and you have a 5$ coupon
Answer:
27
Step-by-step explanation:
First find 2/3 of the original price
48*2/3 =32
Now subtract the coupon
32 -5
27
You will pay 27 dollars before tax
At a farmers market, oranges sell for $5 per bag and apples sell for $3 per
bag. Marc buys 7 bags of fruit for $29. How many bags of each type of fruit
did he buy?
Answer: 4 bags of oranges and 3 bags of apple
Step-by-step explanation:
Each bag of oranges is 5 and 5 times 4 is 20 Each bag of apples is 3 and 3 times 3 is 9 so 20 + 9 = 29
A basketball player average to 12.5 points per game there are 24 games in a season at the rate how many points with the players scored in an entire game
Answer:
Wait did you mean how many points will it be after an entire SEASON?
PLEASE PLEASE PLEASE HELP. I WILL BE SO SO SO HAPPY!! WILL GOVE BRANLIEST! AND FOREVER BE SO HAPPY! POINTS!
Answer:
a
Step-by-step explanation:
follows geometric sequence. starting value is 1/3 and is multiplied by 1/3 every time
Which of the following functions is graphed below?
Answer:
non of the above thanks
don't ask me again please
Answer:
where are the functions ???
Step-by-step explanation:
What is the slope of the line whose equation is y=4+x?
Answer:
The slope is 1 and the y intercept is 4
Step-by-step explanation:
Slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
Rewriting
y = x+4
The slope is 1 and the y intercept is 4
Answer:
M = 1
Step-by-step explanation:
1. Convert to standard form: x - y = - 4
2. Slope using standard form: m = 1
Rewrite the expression in the picture in the form z^n.
Step-by-step explanation:
here's the answer to your question
Answer:
z^ 1/3
Step-by-step explanation:
sqrt( z / z^ 1/3)
We know a^b / a^c =a^( b-c)
sqrt ( z^(1-1/3))
sqrt( z^ 2/3)
Rewriting sqrt as ^ 1/2
z^ (2/3) ^ 1/2
We know a^b^c = a^(b*c)
z^(2/3 * 1/2)
z^1/3
Solve 5x + 14 = k for x
Answer:
x = 1/5(k-14)
Step-by-step explanation:
5x + 14 = k
Subtract 14 from each side
5x+14-14 = k-14
5x = k-14
Divide by 5
5x/5 = 1/5(k-14)
x = 1/5(k-14)
Anybody help me with this question please? ;D
9514 1404 393
Answer:
35 cm²
Step-by-step explanation:
You can count the squares, or ...
you can multiply the number in each row by the number of rows, or ...you can multiply the number in each column by the number of columns.Any way you do this, there are 35 square, so the area is 35 square centimeters.
Can anyone help me please
Answer:
1
Step-by-step explanation:
Basically you just need to find the square root of all of them
36=6 -1=1 9=3 . -1=1
6-1-3-1=1
Explain how to plot the point (3, –7) on the coordinate plane.On a coordinate plane, point A is (negative 4, negative 1), point B is (negative 4, 1), point C is (5, negative 1), and point D is (5, 2). Point P is at (5, 1). Which point is a reflection of Point P across the x-axis?
Answer:
a) In a coordinate plane, the horizontal axis is the x-axis, and the vertical axis is the y-axis.
So, a point (x, y) is at:
A horizontal distance of x units from the origin.
A vertical distance of y units from the origin.
So the point (3, -7) is at:
3 units at the right from the origin
7 units downwards (because is a -7) from the origin.
The graph of the point can be seen below:
Now we want to find a reflection across the x-axis.
b) For a general point (x, y), a reflection across the x-axis gives:
(x, -y)
So, if our point P is:
P (5, 1)
The reflection across the x-axis just changes the sign of the y-value, which gives:
(5, -1)
Then the correct option is point C:
(5, -1)
Answer:
its C on exgenity
Step-by-step explanation:
Pls help me find the answer to this problem. Don't show your work, just give the correct answer.
Answer:
(3bc)²Step-by-step explanation:
9b²c² = 3²b²c² =(3bc)²Used property of exponents
[tex]a^cb^c = (ab)^c[/tex]Now we have to find,
The answer to this problem.
Then use the property of exponents,
→ [tex] \sf a^cb^c = (ab)^c[/tex]
Let's find the solution,
→ 9b²c²
→ 3²b²c²
→ (3bc)²
Hence, (3bc)² is the answer.
Find 0. Round to the nearest degree
A. 26
B. 66
C. 64
D. 24
Answer:
C. 64°
Step-by-step explanation:
[tex]{ \tt{ \cos( \theta) = \frac{adjacent}{hypotenuse} }} \\ \\ { \tt{ \cos( \theta) = \frac{7}{16} }} \\ \\ { \tt{ \theta = { \cos }^{ - 1} ( \frac{7}{16} )}} \\ \\ { \tt{ \theta = 64 \degree}}[/tex]
Answer: Choice C) 64 degrees
Work Shown:
[tex]\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(\theta) = \frac{7}{16}\\\\\cos(\theta) = 0.4375\\\\\theta = \cos^{-1}(0.4375)\\\\\theta \approx 64.0555^{\circ} \\\\\theta \approx 64^{\circ} \\\\[/tex]
Note: some calculators will use the notation arccos in place of the [tex]\cos^{-1}[/tex]
Question 2
Find HY if YL = 9 .
Answer:
HY = 18
Step-by-step explanation:
The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint , so
HY = 2 YL = 2 × 9 = 18
PLEASE HELP A boat travels downstream 10 miles and returns to the starting point in 2
hours. If the speed of the stream is 15 mph, find the speed of the boat in still
water. A. 20.81mph B. 30.24mph C.25.67 D.15mph
Answer:
A. 20.81 mph
Step-by-step explanation:
x = speed of the boat in still water.
one part of the trip is 10 miles downstream, where the speed of the boat and the speed of the current add together.
and the other part of the trip is the trip back the 10 miles upstream, where the speed of the current works against the speed of the boat :
10/(x + 15) + 10/(x - 15) = 2
10 + 10×(x+15)/(x-15) = 2×(x+15)
10×(x-15) + 10×(x+15) = 2×(x+15)×(x-15)
20x = 2×(x² - 225)
10x = x² - 225
0 = x² - 10x - 225
solution of a quadratic equation
x = (-b ± sqrt(b² - 4ac)) / (2a)
a = 1
b = -10
c = - 225
(10 ± sqrt(100 - 4×1×-225)) / 2 =
= (10 ± sqrt (100 + 900)) / 2 = (10 ± sqrt(1000)) / 2 =
= (10 ± 31.62) / 2
x1 = 41.62 / 2 = 20.81 mph
x2 is negative and did not make any sense.
the Length , breadth and thickness of a brick are 18 cm 8 cm and 5 cm respectively find its area of the largest face and volume
Step-by-step explanation:
vol: 18* 8* 5 cm³
720 cm³
hope this help
Which of the
x
xx-values are solutions to the following inequality?
x
>
111
x>111x, \gt, 111
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
x
=
97
x=97x, equals, 97
(Choice B)
B
x
=
101
x=101x, equals, 101
(Choice C)
C
x
=
119
x=119x, equals, 119
Given:
The inequality is:
[tex]x>111[/tex]
To find:
The x-values that are the solutions to the given inequality.
Solution:
We have,
[tex]x>111[/tex]
It means all the real numbers greater than 111 are the solutions to the given inequality.
[tex]97<111[/tex], so 97 is not a solution.
[tex]101<111[/tex], so 101 is not a solution.
[tex]119>111[/tex], so 119 is a solution.
Therefore, the correct option is C.
Given:
The inequality is:
To find:
The x-values that are the solutions to the given inequality.
Solution:
We have,
It means all the real numbers greater than 111 are the solutions to the given inequality.
, so 97 is not a solution.
, so 101 is not a solution.
, so 119 is a solution.
Therefore, the correct option is C.
Which of the following is not a solution to the system of inequalities?
A) (0,4)
B) (0,3)
C) (2,3)
D) (1,3)
Answer:
C
Step-by-step explanation:
In fact the point doesn’t lies on the graph or between the lines
Which expression is equivalent to 5(w+4) when w= 9?
519)
9(5)
5(9)+4
O 5(9)+20
Answer:
D
Step-by-step explanation:
[tex]5(9 + 4) \\ 5(13) \\ 65 \\ prove \: it \: d \: answer \\ 5(9) + 20 \\ 45 + 20 \\ = 65[/tex]
Express the following as ONE fraction:
(( b - c )/ b ) + (b / ( b + c ))
Answer:
Step-by-step explanation:
(b - c)/b * (b+c)/b Notice how the second fraction is inverted and multiplied. That's how you handle a 4 tier fraction. Here's a simpler example
[tex]\frac{\frac{2}{3} }{\frac{4}{5} } = \frac{2}{3} * \frac{5}{4}[/tex]
What you get with your problem is
(b^2 - c^2)/b^2
ASAppppppppppppppppppppppppppppppppppp
Answer:
3/8
Step-by-step explanation:
that is the answer
I solved it using a calculator
please give me brainliest
the answer is 3/8 because im right
Finding an angle measure
Answer:
C. 50 degrees
Step-by-step explanation:
Angle EDG is 90 degrees
x = 10
5 multiplied by 10 is 50
4 multiplied by 10 is 40
40+50=90
Answer:
50 = EDH
Step-by-step explanation:
We know that angle EDG is a right triangle (measures 90°). We also know that angle EDH and angle HDG make up angle EDG which is 90°. So ultimately we can state that;
EDH + HDG = EDG
5x + 4x = 90
9x = 90
x = 90/9
x = 10
Now that we know that value of x, we can say that;
EDH = 5x
since x = 10
EDH = 5(10)
EDH = 50
Hope this helps!