Practice: Activating Prior Knowledge
Write three real-world examples of quantities that you would use scientific notation to express.
(Hint:What measurements are really large or really tiny?)
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1. Earth's distance from the sun 150,000,000 kilometers. We can rewrite this in scientific notation as 1.5 x [tex] 10^{8} [/tex]
2. The length of a skin cell is 0.00003 meters. We can rewrite this in scientific notation as 3.0 x [tex] 10^{-5} [/tex]
3. The world population is about 7,000,000,000. We can rewrite this in scientific notation as 7 x [tex] 10^{9} [/tex]
Related Questions
Stella's friends got her a skydiving lesson for her birthday. Her helicopter took off from the skydiving center, ascending in an angle of 37 degree, and traveled a distance of 2.1 point, 1 kilometers before she fell in a straight line perpendicular to the ground. How far from the skydiving center did Stella land? Round your final answer to the nearest hundredth.
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1.68 km from the skydiving center did Stella land .
What is trigonometric ratio?Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
The basic trigonometric ratios formulas are given below,
sin θ = Perpendicular/Hypotenusecos θ = Base/Hypotenusetan θ = Perpendicular/Basesec θ = Hypotenuse/Basecosec θ = Hypotenuse/Perpendicularcot θ = Base/PerpendicularAccording to the question
Stella's friends got her a skydiving lesson .
Her helicopter took off from the skydiving center, ascending in an angle of 37 degree .
i.e angle of elevation = 37°
then traveled a distance of 2.1 kilometers , 1 kilometers before she fell in a straight line perpendicular to the ground.
i,e
Her helicopter is making a right angled triangle with respect to ground
in which
Hypotenuse of triangle = 2.1 km
Perpendicular of triangle = 1 km
with angle of elevation = 37°
now,
the distance from the skydiving center did Stella land
According to the Trigonometric ratios
cos θ = Base/Hypotenuse
substituting the value in formula
cos 37° = [tex]\frac{Base}{2.1}[/tex]
0.7986 * 2.1 = Base
Base = 1.68
Hence, 1.68 km from the skydiving center did Stella land .
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PLZZZZ HELP WILL MARK BRAINLIEST
Which statement is true about the distribution?
A line ranging from 10 to 45 with boxes between 15 and 25, and 25 and 40.
A.The IQR is the best measure of variability because the distribution has no outliers.
B.Either the IQR or the range are good measures of variability because the distribution has an outlier.
C.The range is the best measure of variability because the distribution has an outlier.
D.Either the IQR or the range are good measures of variability because the distribution has no outliers.
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The correct answer is : D.Either the IQR or the range are good measures of variability because the distribution has no outliers.
Hopes this helps u :D
Answer:
answer is not that asnwer is iat the bottom
Step-by-step explanation:
Either the IQR or the range are good measures of variability because the distribution has no outliers.
I really need help on this!!! God bless you!!
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The y intercept is 4 (written in the equation).
Every time x increases by 1, y increases by -2/3, which is the slope.
Hope this helps!
Can someone help me find the value of b? Thank you!
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Dana painted a wall in her bedroom that is 10.5 feet tall and 23.5 feet wide.she used exactly 3quarts of paint to cover the wall.How many square feet will 1quart of paint cover? Please explain
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Start off by multiplying 10.5 by 23.5, to get the area of her wall - 246.75 square feet. This took up 3 quartz of paint, so divide both 246.75 by 3 to find out how many square feet were painted with only 1 quartz, 82.25 square feet! :D Hope I helped!
A figure is translated rotated or reflected describe its image
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Final answer:
Transformations in mathematics involve translating, rotating, or reflecting figures, resulting in images that maintain their shape but may change position, orientation, or both. Examples include translations that shift figures, rotations that pivot them around a point, and reflections that create mirror images.
Explanation:
When a figure is translated, rotated, or reflected, its image undergoes specific transformations. In a translation, every point of the figure moves the same distance in the same direction, resulting in a figure that maintains its shape and orientation but changes its position. A rotation involves turning the figure around a fixed point known as the center of rotation, changing the direction of the figure while preserving its shape and size. Finally, a reflection is akin to looking into a mirror, where the figure is flipped over a line known as the axis of reflection, creating a mirror image that maintains the shape and size of the original figure but reverses its orientation.
These transformations can be visually represented and understood using diagrams, such as those involving ray diagrams for reflections. For example, in the reflection of an object in a mirror, light rays hitting the mirror generate new rays that appear to originate from a point behind the mirror, creating a virtual image. This conceptual understanding helps to explain how images are formed through various transformations, highlighting the precision and predictability of geometric operations.
l4-8(3-12)l - l5-11l
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Hope you have the correct answer
The given mathematical expression is solved by simplifying within parentheses, performing multiplication, and understanding the absolute value concept, leading to a final answer of 70.
Explanation:The given mathematical expression is |4-8(3-12)| - |5-11|. To solve this, we first need to simplify the expressions within the absolute value bars, following the order of operations (PEMDAS/BODMAS).
Step 1: Simplify inside the parentheses3-12 = -9. So, the expression now is |4-8(-9)| - |5-11|.
Step 2: Multiply8 times -9 equals -72. Substituting this, we get |4 - (-72)| - |5-11|, which simplifies to |4 + 72| - |5-11|.
Step 3: Simplify the absolute values4 + 72 equals 76, so |76| is just 76 because absolute values ensure a positive outcome. Next, 5-11 equals -6, so |5-11| is |-6|, which is 6. Therefore, you have 76 - 6.
Step 4: SubtractLastly, subtracting 6 from 76 gives 70. So, the final answer to the given expression is 70.
Find the volume of this sphere.
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The formula I use is 4(3.14)(r^3)/3, I think it's easier, but that's just me. Hope this helps! ٩(ര̀ᴗര́)
Which unit of measurement is best to measure the amount of water in a swimming pool?
a. mililiter
b. kiloliter
c. centiliter
d. kilometer
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Kilo meaning 1000
Centi meaning 100.
I would go with C. Centiliter
The sum of the square of two negative numbers is 74. The difference is 24. determine the two numbers
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The required negative numbers are -5 and -7.
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
Let the required negative numbers be x and y.
The sum of the square of two negative numbers is 74.
(x)² + (y )² = 74
x² + y² = 74
(x)² - (y)² = 24
y² - x² = 24
y² = x² + 24
Substitute the value of y² = x² + 24 in the equation x² + y² = 74,
x² + 24 + x² = 74
2x² = 74 - 24
2x² = 50
x² = 25
x = √25
x = ±5
x = 5, -5
Take the negative value as per the question.
Substitute the value of x = -5 in the equation y² = x² + 24,
y² = (-5)² + 24
y² = 25 + 24
y² = 49
y = √49
y = ±7
y = - 7
Therefore, the required negative numbers are -5 and -7.
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Final answer:
The problem is solved by converting the given conditions into a system of equations, which is then solved to find the two negative numbers. The numbers obtained, -3 and -27, satisfy both given conditions.
Explanation:
The question provided is a mathematical problem involving the determination of two negative numbers given that their squares sum to 74 and their difference is 24. Let's denote the smaller number as x and the larger number as y. The given conditions can be represented by two equations: [tex]x^2 + y^2 = 74[/tex] and y - x = 24.
To find the values of x and y, we solve these equations simultaneously. First, use the second equation to express y in terms of x:
y = x + 24
Then, substitute this expression for y into the first equation:
[tex]x^2 + (x + 24)^2 = 74[/tex]
This simplifies to a quadratic equation in x, which can be solved to find the value of x, and subsequently, y can be determined using the expression
y = x + 24.
After solving the quadratic equation, you find that the two negative numbers are -3 and -27, satisfying both the sum of their squares equaling 74 and their difference being 24.
The geometric mean of 8 and 32
Answers
In this case, there are 2 numbers, which means you take the square root. If there were 3 numbers, you'd take the cube-root, and so on...
First, multiply 8 and 32 to get 256. Now, take the square root of 256, which is 16. This is the geometric mean.
The geometric mean of 8 and 32 is 16.
Given :
The two numbers 8 and 32
To find:
The geometric mean of given numbers.
Solution
The geometric mean is given by the formula:
[tex]G.M=\sqrt[n]{x_1\times x_2\times x_n}[/tex]
n = num ber of terms
According to question : n = 2
The geometric mean of given numbers:
[tex]G.M=\sqrt[2]{8\times 32}\\\\G.M=\sqrt[2]{256}\\\\G.M=16[/tex]
The geometric mean of 8 and 32 is 16.
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What is X the two numbers are 46 and 71
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A zookeeper asks,”How many animals were in the zoo each month of last year?”is this question statistical or not?Explain you reasoning.
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Which completely describes the polygon
A: equilateral
B: equiangular
C: regular
D: congruent
the shape is Hexagon
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in a recent survey of middle school students about pizza toppings it was found that 25 students liked pepperoni pizza 31 like banana peppers pizza and 5 liked both pepperoni and banana peppers on their Pizza if 66 students where surveyed how many students do not like banana peppers on their Pizza
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Using the principle of inclusion-exclusion, it was determined that out of 66 surveyed students, 15 do not like banana peppers on their pizza.
The number of students who do not like banana peppers on their pizza can be calculated as follows:
Students who like pepperoni pizza only = 25 - 5 = 20
Students who like banana peppers pizza only = 31 - 5 = 26
Students who do not like banana peppers = Total students surveyed - Students who like banana peppers - Students who like only pepperoni = 66 - 31 - 20 = 15 students
Could someone tell me if this is correct please
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18a. True (think of it as 21 is less than 27)
18b. False; 0.4 is the same as 0.40
18c. True. Three dollars is much greater than 20 cents
18d. False. 1.9 is the same as 1.90 and can't be smaller than itself
18e. False. The two sides are completely diferrent numbers.
18f. True. The value 6.2 is the same as 6.20
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For problem 19, you have to make the denominators the same. So multiply top and bottom of the first fraction by 10 to go from 4/10 to 40/100
If 40 is in the first box, then 40+40 = 80 is the final numerator. If this is over 100, then 80/100 = 8/10 meaning that 10 goes in the other box.
A plot of land is a pentagon with vertices Q(-4, 4), R(2, 4), S(4, 1), T(2, -4), and U(-4, -4).
Each unit of the coordinate grid represents one meter.
Fencing costs $24.75 per meter. What is the cost of placing a fence around the plot of land?
Answers
The measure of UT is also 6 meters.
The measure of QU is 8 meters.
To find the measure of RS, we use the distance formula:
[tex]\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}[/tex]
We substitute the coordinates of R and S into the formula and have:
[tex]\sqrt{(2-4)^2+(4-1)^2} \\ =\sqrt{(-2)^2 + (3)^2} \\ =\sqrt{4+9} \\=\sqrt{13} \\=3.61[/tex]
To find the measure of ST we use the distance formula again, substituting the coordinates for S and T into the formula:
[tex]\sqrt{(4-2)^2+(1--4)^2} \\=\sqrt{(2)^2 + (1+4)^2} \\=\sqrt{4+5^2} \\=\sqrt{4+25} \\=\sqrt{29} = 5.39[/tex]
Now we find our perimeter by adding the sides together: 5.39 + 3.61 + 6 + 6 + 8 = 29 meters
Since fencing costs $24.75 per meter, we multiply this by our perimeter:
29(24.75) = $717.75
If 200% of x is equal to 50% of y and x = 16, what is the value of y?
Answers
Multiply x by 2.
16 x 2 = 32
Since it is equal to 1/2 of y,
multiply it by 2 once more.
32 x 2 = 64
y = 64.
Hope this helps!
Jim is 3 times as old as his cousin and the difference in their ages is 18. How old is Jim?
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The Jim's age is 27.
It is required to find the age of Jim.
What is average?Number that is calculated by adding quantities together and dividing the total by the number of quantities.
Given that:
Let cousin's age = x
Let Jim's age = 3x
Since the difference between their ages is 18,
3x - x = 18
Solving for x,
2x = 18
x = 9
Cousin's age is 9.
Jim's age is 27.
So, the Jim's age is 27.
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what is 3/10 in money form?
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Abigail is redecorating her house. A scale drawing of 2 rooms can be seen below. If each 6 cm on the scale drawing equals 12 ft, what are the actual dimensions of Abigail’s house?
Room measurements:
A: 9 cm
B: 10 cm
C: 9 cm
D: 8 cm
E: 7 cm
Answers
we know that
scale factor r=[dimension scale drawing]/[actual dimension]
r=6/12=0.5 cm/ft
[actual dimension]=[dimension scale]/r
for dimension scale=9 cm
[actual dimension]=[9]/0.5=18 ft
for dimension scale=10 cm
[actual dimension]=[10]/0.5=20 ft
answer
the actual dimensions of Abigail’s house are 18 ft x 20 ft
the area of Abigail’s house is (18*20)=360 ft²
half of a number decreased by 6
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The answer is: " [tex]\frac{1}{2}[/tex] x − 6 " .
_______________________________________________
→ in which "x" represents the "unknown number" .
_______________________________________________
The expression written for: "Half of a number decreased by 6" is:
→ " [tex]\frac{1}{2}[/tex] x − 6 " ;
_____________________________________________
→ in which "x" represents the "unknown number" .
________________________________________
Explanation:
Let "x" represent the "unknown number".
→ "One-half" of a number , decreased by "6" ;
→ is written as: "1/2 of "x" , minus "6" .
Note that: " 1/2 of x " = " [tex]\frac{1}{2}[/tex] * x " = " [tex]\frac{1}{2}[/tex] x " .
Then, we subtract "6" ; from that value; to write the expression:
________________________________________
The expression written for: "Half of a number decreased by 6" is:
" [tex]\frac{1}{2}[/tex] x − 6 " ;
→ in which "x" represents the "unknown number" .
________________________________________
Hope this helps!
Best wishes in your academic endeavors — and within the "Brainly" community!
________________________________________
A recycling bin is in the shape of a right rectangular prism. The bin is 12 meters long, 512 meters wide, and 612 meters tall. What is the volume of the recycling bin? 3534 m³ 360 m³ 429 m³ 51834 m³
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Answer:
3534
I just agree with the comment above me.
A computer program reduces the length of each side of an 8'' by 8'' square photograph by 25%. What is the area, in square inches, of the reduced photo?
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An isosceles triangle has a base of 8 inches and legs measuring 12 inches how wide is the base of a similar triangle with legs measuring 36 inches
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Jane is planting flowers in her garden. She planted 8 flowers on Saturday and 10 on Sunday. So far she planted 2/5 of her flowers. How many flowers does she have total?
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help its easy i just have to much work! i need 4-8
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.. 7x -(6 -2x) = 3
.. 9x = 9 . . . . . . . . . add 6, collect terms
.. x = 1
.. y = 6 -2*1 = 4
(x, y) = (1, 4)
5. Substituting for x:
.. 3(y -4) +y = 12
.. 4y = 24 . . . . . . . add 12, collect terms
.. y = 6
.. x = 6 -4 = 2
(x, y) = (2, 4)
6. Substituting for x:
.. 4(y -5) -y = 4
.. 3y = 24 . . . . . . . add 20, collect terms
.. y = 8
.. x = 8 -5 = 3
(x, y) = (3, 8)
7. y = 2x -6 . . . . . add 2x to the first equation
Substituting for y:
.. 5x -(2x -6) = 9
.. 3x = 3 . . . . . . . add -6, collect terms
.. x = 1
.. y = 2*1 -6 = -4
(x, y) = (1, -4)
8. x = 2 -3y . . . . . add -3y to the first equation
Substituting for x:
.. y -(2 -3y) = -6
.. 4y = -4 . . . . . . . add 2, collect terms
.. y = -1
.. x = 2 -3*(-1) = 5
(x, y) = (5, -1)
Marvin counts six $5 bills. write each value that he counts. what pattern do you see in the one digits of the values he counts?
Answers
Explanation
1) Simulate the counting of the bills:
number of bills counted value ones digit
1 5 5
2 5 + 5 = 10 0
3 10 + 5 = 15 5
4 15 + 5 = 20 0
5 20 + 5 = 25 5
6 25 + 5 = 30 0
2) Pattern: you can see that the ones digit alreternate: 5, 0, 5, 0, 5, 0, ...
If the number of bills counted is odd the ones digit is 5, if the number of bills is even the ones digit is 0.
When counting $5 bills, the values are $5, $10, $15, $20, $25, $30 with a pattern in the one digits of 5, 0, 5, 0, 5, 0. This demonstrates the pattern of addition with multiples of five.
Explanation:Marvin is counting $5 bills, hence each time he counts a bill the total value increases by $5. The values Marvin counts are $5, $10, $15, $20, $25, $30.
The one digits in these values form a pattern, specifically, they are 5, 0, 5, 0, 5, 0.
This pattern repeats every two counts: a 5 followed by a 0. This is because adding 5 to a multiple of 10 results in a number ending in 5, and adding another 5 results in another multiple of 10, which always ends in 0.
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What is the simplified form of -3z^2(z+2)-4(z^2+1)
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The ice rink sold 95 tickets for the afternoon
skating session, for a total of $828. General admission
tickets cost $10 each and youth tickets cost $8 each.
How many general admission tickets and how many
youth tickets were sold?
Matthew made lasagna for dinner he gave equal portions of 2/3 of the lasagna 23 friends what diagram could Matthew use to find a fraction of the whole is lasagneach friend of got