8 × 10⁻⁷ is 0.00000008 in scientific notation .
What does a scientific symbol mean?
A frequently used floating-point system where values are expressed as the product of a number between 1 and 10 with the appropriate power of 10 (for example, 1.591 1020).
Example: 700. Why is 700 written as 7 × 102 in Scientific Notation
Example: 4,900,000,000. 1,000,000,000 = 109
Example: 0.0055 is written 5.5 × 10-3
Example: 3.2 is written 3.2 × 100
Why is it employed in scientific notation?
The main benefit of scientific notation is that it enables us to scale down extremely large or extremely small numbers into sizes that are much easier to handle. These numbers are significantly simpler to work with when they are written in scientific notation.scientific notation of 0.00000008 = 8 × 10⁻⁷
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each linear graph to its slope
Please, I'm desperate. 13 Questions. 1-11 have provided options, 12 and 13 are manual answers.
1. Perform the required operations on the following functions.
Given: f(x) = 3 - x; g(x) = -2x
Find g[f(x)].
Options:
A. -x - 6
B. 2x - 6
C. 2x + 3
2. Perform the required operations on the following functions.
Given: f(x) = 3 - x; g(x) = -2x
Find f[g(2)].
Options:
A. -1
B. 25
C. 7
3. Given: f(x) = 3 - x; g(x) = -2x
Find g[f(-1)].
Options:
A. -22
B. 8
C. -8
4. Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x^2
Find F[G(x)] - F(x).
Options:
A. 4x + 4
B. 4x
C. 4x + 2
5. Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x^2
Find G[H(1)].
Options:
A. 5
B. 35
C. 8
6. Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x&2
Find F{G[H(2)]}.
Options:
A. 121
B. 27
C. 71
7. Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x^2
Find H(x + a) - H(x)
Options:
A. a^2
B. a^2 + 2ax
C. 2a
8. Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2
Find [H(x + a) - H(x)] / a
Options:
A. 2x + a
B. a
C. a^2 + 2x
9. Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x^2
Find F(x) + G(x) + H(x).
Options:
A. 5x^3 + 1
B. x^2 + 5x + 3
C. x^2 + 5x + 1
10. If f(x) = 2x 2 - 3x + 1, find f(3) - f(2).
Options:
A. 0
B. 7
C. 17
11. If G(x) = 5x- 2, find G^-1 (x).
Options:
A. (x + 2)/5
B. (x/5) + 2
C. -5x + 2
12. What is the inverse of f(x) ? Show all work for full credit.
f(x) = 2 / [x - 6]
13. Use composition of functions to determine whether f(x) and g(x) are inverses of each other. Show all work for full credit.
f(x) = 4/5 x + 1
g(x) = [5x - 5] / 4
The evaluation of the given functions are as follows;
B. 2•x - 6C. 7C. -8A. 4•x + 4A. 5B. 27B. a² + 2•a•xA. 2•x + aC. x² + 5•x + 1B. 7A. (x + 2)/5(2/x) + 6The inverse of g(x) is f(x)How can the functions be evaluated?1. f(x) = 3 - x
g(x) = -2•x
Therefore;
g(fx) = -2 × f(x)
Which gives;
-2 × (3 - x) = -6 + 2•x = 2•x - 6
g(fx) = 2•x - 6
B. 2•x - 6
2. f(x) = 3 - x
g(x) = -2•x
f(g(x)) = 3 - (-2•x) = 3 + 2•x
f(g(x)) = 3 + 2•x
f(g(2)) = 3 + 2×2 = 7
The correct option is therefore;
C. 7
3. f(x) = 3 - x
g(x) = -2•x
Therefore;
g(fx) = 2•x - 6
g(f-1) = 2×(-1) - 6 = -8
C. -8
4. F(x) = 2•x - 1, G(x) = 3•x + 2, H(x) = x²
F(G(x)) = 2•(3•x + 2) - 1 = 6•x + 3
F(G(x)) - F(x) = 6•x + 3 - (2•x - 1) = 4•x + 4
A. 4•x + 4
5. F(x) = 2•x - 1, G(x) = 3•x + 2, H(x) = x²
G(H(x)) = 3•x² + 2
G(H(1)) = 3×1² + 2 = 5
A. 5
6. F(x) = 2•x - 1, G(x) = 3•x + 2, H(x) = x²
F(G(H(x))) = 2•(3•x² + 2) - 1 = 6•x² + 3
F(G(H(2))) = 6×2² + 3 = 27
B. 27
7. F(x) = 2•x - 1, G(x) = 3•x + 2, H(x) = x²
H(x + a) - H(x) = (x + a)² - x² = 2•a•x + a²
B. a² + 2•a•x
8. (H(x + a) - H(x))/a = (a² + 2•a•x)/a
(a² + 2•a•x)/a = a + 2•x = 2•x + a
A. 2•x + a
9. F(x) = 2•x - 1, G(x) = 3•x + 2, H(x) = x²
F(x) + G(x) + H(x) = 2•x - 1 + 3•x + 2 + x² = x² + 5•x + 1
C. x² + 5•x + 1
10. f(x) = 2•x² - 3•x + 1
f(3) - f(2) = 2×3² - 3×3 + 1 - (2×2² - 3×2 + 1) = 7
B. 7
11. G(x) = 5•x - 2
G^(-1)(x) = (G(x) + 2)/5
Which gives;
G^(-1)(x) = (x + 2)/5
A. (x + 2)/5
12. f(x) = 2/(x - 6)
The inverse is therefore;
(2/f(x)) + 6
The inverse of f(x) is therefore;
(2/x) + 6
13. g(x) = (5•x - 5)/4
(4•g(x) + 5)/5 = (4/5)•g(x) + 1
The inverse of g(x) is therefore;
(4/5)•x + 1 = f(x)
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A customer wants to buy 0.4 pounds of mulch that cost $5.20 per pound. If the customer has a coupon for $0.50 off the total cost, how much will they pay for the mulch?
$1.04
$1.58
$2.08
$4.16
The amount paid for 0.4 pounds of much after deducting $0.50 coupon is $1.58. option B
DiscountCost of each pound of mulch = $5.20Number of pounds of mulch bought = 0.4 Coupon = $0.50Cost of 0.4 pounds of mulch = xCost of mulch : pounds of mulch
5.20 : 1 = x : 0.4
5.20/1 = x/0.4
5.20 × 0.4 = 1 × x
2.08 = x
Cost of 0.4 pounds of mulch = x = $2.08
Amount paid for 0.4 pounds of much after deducting $0.50 coupon
= $2.08 - $0.50
= $1.58
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Answer:
b) $1.58
Step-by-step explanation:
Now we have to,
→ find the amount the customer must pay.
One pound of mulch costs,
→ $5.20
Then 0.4 pounds of mulch costs,
→ $5.20 × 0.4
→ 5.20 × 0.4
→ $2.08
Total cost after reducing $0.50,
→ 2.08 - 0.50
→ $1.58
Hence, customer must pay $1.58.
Classify the function
-10
-5
10
5
-5
-10
5
10
the function is (5)(-10)
Use the spinner to find following probability. The spinner is spun again if it stops on a line.
P (pointer landing on green)
The probability of the spinner's point landing on green is 22.23%.
What exactly is a pie chart?A pie is a kind of chart that displays data in the form of a circular graph.
We understand that the total value of the pie is always 100%. It is also understood that a circle does have a circumference of 360°. As an outcome, the total of all data points equals 360°. There appear to be mainly two pie chart formulas based on these:
To determine a percentage of a data set, we use the following format: 100 (Frequency ÷ Total Frequency) × 100To convert the information to degrees, we use the given equations: (Informed Data ÷ Total value of Data) × 360°When a circle is completely rotated, it forms a 360-degree angle in the center.
At the center of the circle, a complete rotation yields 360 degrees.
The total percentage of all colors is 100%.
Divide a value of green by 3.6 since 360 degrees / 100% = 3.6.
The total percentage of green displayed by the spinner's pointer is 80%.
P (probability of the cursor landing on green) = 80/3.6
Probability P (cursor landing on green) = 22.222... = 22.23 (approx.)
As a result, the probability which the pointer will land on the green is 22.23%.
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The product of two rational numbers is -14/7 if one of the numbers be 7/9 find the other
Answer:
The other number is (-18/7)
Step-by-step explanation:
Let the other rational number be 'x'.
[tex]\sf x * \dfrac{7}{9}= \dfrac{-14}{7}[/tex]
[tex]\sf x = \dfrac{-14}{7} \div \dfrac{7}{9}[/tex]
Now, use KCF method.
Keep the first fractionChange the division to multiplicationFlip the second fraction
[tex]\sf x = \dfrac{-14}{7}*\dfrac{9}{7}\\\\x = -2* \dfrac{9}{7}\\\\x = \dfrac{-18}{7}[/tex]
Answer:
-18/7
Step-by-step explanation:
let the unknown no be y
7/9×y= -14/7
7y/9= -14/7
cross multiply
-14×9=7y×7
divide both sides by 7
-2×9=7y
-18=7y
divide both sides by the coefficient of y which is 7
y= -18/7
hope this helps
please give brainliest
if there are 72 residents on 12 floors in a hotel, then there are 18 residents on _____ floors of the hotel
A 20
B 18
C 9
D 3
Answer: D. 3
Step-by-step explanation:
Let's make a proportion:
72 residents - 12 floors
18 residents - х floors
Hence,
[tex]\displaystyle\\x=\frac{18*12}{72} \\\\x=\frac{18*4*3}{18*4} \\\\x=3\ floors[/tex]
Add. Write your answer as a fraction or as a whole or mixed number.
10 1/2 + 3 2/3
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS Which expression is equivalent to 4 ^ 3
The expression that is equivalent to 4 ^ 3 would be an expression that equals 4 ^ 3
4 ^ 3 = 4 x 4 x 4 = 16 x 4 = 64
Answer:
4^3 =
4 x 4 x 4 x4 = 64
State whether each sentence is true or false. If false, replace the underlined word or phrase to make a true sentence.
The arithmetic mean of two numbers is the positive square root of the product of the numbers.
The statement "The arithmetic mean of two numbers is the positive square root of the product of the numbers." is False.
And the true sentence is "The geometric mean of two numbers is the positive square root of the product of the numbers."
Arithmetic Mean:
The arithmetic mean, is also called the average or average value, is the quantity obtained by summing two or more numbers or variables and then dividing by the number of numbers or variables.
Given,
Here they given the sentence, "The arithmetic mean of two numbers is the positive square root of the product of the numbers.".
We need to find this one is true or not and we also need to replace the underlined word or phrase to make a true sentence.
Based on the definition of arithmetic mean, the given statement is false.
And the correct sentence is
"The geometric mean of two numbers is the positive square root of the product of the numbers.".
Because geometric mean is average value or mean which signifies the central tendency of the set of numbers by finding the product of their values.
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What is the y - intercept of he line with the equation: y=2x+9
Answer:
Step-by-step explanation:
The y -intercept Is: b=9 or (0,9)
I need this answered for me please
Answer:
[tex]\frac{w}{2}[/tex] + 9 = 7
Step-by-step explanation:
Answer:
[tex] \frac{w}{7 } + 9 = 7[/tex]
Find the indicated measure. Round to the nearest tenth.
Find the diameter of a circle with an area of 79 square feet.
The diameter of circle is 10.0 feet.
We are given the area of circle. The formula of area with respect to diameter is as follows -
Area = 1/4πd², where d represents diameter of circle.
Taking the value of π as 3.14.
Rewriting the equation according to diameter -
d² = (area×4)÷π
Now, keep the values in formula to find the diameter of circle.
d² = (79×4)÷3.14
Performing multiplication on the Right hand side of the equation
d² = 316÷3.14
Performing division on the Right hand side of the equation
d² = 100.6
d = √100.6
Taking square root on the Right hand side of the equation
d = 10.03 feet
Rounding to nearest tenth -
d = 10.0 feet
Hence, the diameter of circle is 10.0 feet.
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(3x
3
+4x
2
)−(2x
3
+3x
2
−x
On simplifying, x(x2 + 7x + 1) is the final expression.
The provided simplification expression can be solved, per the question, by moving the variable terms to one side and the normal terms to the other.
As a result, the phrase may be expressed more succinctly as:
(3x^3+4x^2) - (2x^3 + 3x^2 -x)
x^3 + 7x^2 + x
x(x^2 +7x + 1)
Consequently, x(x2 + 7x + 1) is the right solution via simplification.
How does simplification work?A technique to make the phrase less complex is simplification. And the variables' calculations became simple. Problems with simplification can be resolved by using mathematical characteristics.
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volume of a sphere(please hurry im in a test.
and can you also show the prosses of getting the anwser)
Answer:
The answer is 113.3
Step-by-step explanation:
We get this because he formula for the volume of a sphere is V = 4/3 πr³.
The radius is 7.
7^3 = 243
243*4 = 972.
So, the asnwer is 972 ft^3
Marline Was playing basketball and made 8⁄10Of the shots he took what decimal Number repeat Number repeat represents done fraction of shots Merlin made
The fraction ( 8/10 ) when converted into a decimal number is equal to 0.8.
The decimal number system is frequently used to express both integer and non-integer quantities. The Hindu-Arabic numeral system has been expanded to include non-integer values. Decimal notation is the name for the method used to represent numbers in the decimal system.
The number of shots fired by Marlin should be expressed as a decimal number.
We know that,
Marlin made 8 shots out of 10 shots which is in fraction, it is 8/10.
However, since we are dividing by 10, we shall shift the decimal point of 0.8 to the left (the zero is not really important as it only represents a place value )
Or,
( 8 /10) = ( 4 / 5 ) = 0.8
Therefore, the fraction of the shots Marlin made is 0.8.
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Ferrera is 3/4 as old as June, and Tomasso is 1. 1/2 times as old as Ferrera. How many times as old as June is Tomasso? Write
your answer as a fraction.
June is 9 / 8 times as old as Tomasso in the question.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that Ferrera is 3/4 as old as June, and Tomasso is 1. 1/2 times as old as Ferrera.
The number of the times will be calculated as below:-
F = ( 3 / 4) J
T = 1 ( 1 / 2 ) F
T = ( 3 / 2 )F
Put the value of F in the second equation.
T = ( 3 / 2) ( 3 / 4 )J
T = ( 9 / 8)J
Therefore, June is 9 / 8 times as old as Tomasso in the question.
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Expand & simplify:
4(× + 5) - 2(x - 3)
The Simplification of 2x +26
simplify:
4(× + 5) - 2(x - 3)
4x + 20 - 2x +6
2x +26
Making something simpler is making it less intricate or crowded. When you describe a complex mathematical idea to a youngster in words they can easily comprehend, you are simplifying. When you eliminate many of the tasks that were keeping you occupied and stressed out, you have simplified.
Making something simpler refers to making it simpler to accomplish or comprehend. Therefore, when we reduce or simplify a fraction, we aim for maximum simplicity. In order to do this, we divide both the numerator and the denominator by the biggest integer that can be divided precisely into both numbers.
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Find the relationship between p and q if px*2+2x-q is a perfect square. please help me ASAP
[tex]\displaystyle\\Answer:\ p=-\frac{1}{q}[/tex]
Step-by-step explanation:
A perfect square has equal sides
Hence, px²+2x-q has equal roots (D(discriminant)=0)
[tex]\displaystyle\\D=2^4-4*p*(-q)\\D=2*2+4pq\\D=4+4pq\\D=0\\\Rightarrow\ 0=4+4pq\\Divide\ both\ parts\ of\ the \ equation\ by\ 4:\\0=1+pq\\0-1=1+pq-1\\-1=pq\\Divide\ both\ parts\ of\ the \ equation\ by\ q(q\neq 0):\\-\frac{1}{q}=p\\ Thus,\\p=-\frac{1}{q}[/tex]
Bill has a paper route. It takes him 50 minutes
to deliver newspapers to his 40 customers. How
long will it take Bill to complete his route if he
adds 20 more customers in his neighborhood?
Answer:
75 min or 1 hour 15 min
Step-by-step explanation:
20 is 50% of 40 so add 50% of 50 min to the total. Half of 50 is 25 so you add 25 min
Answer:
if bill takes
40 customers =50 minutes
20 customers= 50÷2 =25 minutes
so 50 minutes + 25 minutes= 75 minutes in total.
Find the slope of the line through each pair of points. (-4,-3) and (7,1)
For the given coordinates (-4,-3) and (7,1) , the slope of line is 4/11.
How is slope determined?Determine the coordinates of two locations along the line that you choose.
Find the difference between these two locations' y-coordinates (rise). Find the difference between these two locations' x-coordinates (run). Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.
Given, the points are -
(-4,-3) and (7,1)
The formula to calculate slope is -
m = y2 - y1 / x2 - x1
Putting the value in the formula,
m = 1 +3 / 7 + 4
m = 4 / 11
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Solve each equation or inequality.
|3 x+9|=11
After solving the equation or inequality, x is equal to 2/3, -20/3 for the equation |3 x+9|=11
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
⇒ |3 x+9| = 11
For positive case
⇒ (3 x+9) = 11
⇒ 3x = 11 - 9
⇒ 3x = 2
⇒ x = 2/3
For negative case
⇒ -(3 x+9) = 11
⇒ -3x -9 = 11
⇒ -3x = 20
⇒ x = -20/3
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What is the annual percentage rate on a loan with a stated rate of 2.75 percent per quarter?
The annual percentage rate on a loan with a stated rate of 2.75 percent per quarter is 11%.
How to calculate the loan?It was given that the annual percentage rate on a loan with a stated rate of 2.75 percent per quarter.
It should be noted that quarter means that the value was divided by 4.
Therefore, the annual percentage will be:
= 2.75 × 4
= 11%.
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What is the distance between points J and K?
Please, show your work.
Answer:
the answer would be 12 units.
Step-by-step explanation:
now you may count the number line and find that you find 6 units, BUT you need to check the values. You can simply do an equation 4 - - 8 = 12 or you can do 6 *2 which is 12.
It's vote counting day for an election held in a country. The 3 TV stations updated the public about the number of votes cast starting at 7:00 in the morning. TV station A announces the vote counts every 2 hours, TV station B announces it every 3 hours, and TV station C announces it every 4 hours. At what time will the three TV stations announce the vote counts at the same time?
The 3 tv stations will announce the news again after 12 hours at 7 in the evening which is calculated by taking the LCM of the 3 intervals.
LCM or lowest common multiple of 2 or more numbers is defined as the minimum number which is lowest multiple of of the 2 or more numbers which is equal.
In mathematics and number theory. Since the result of dividing an integer by zero is not defined this definition only applies if both x and y are not equal to zero. However, given that 0 is the only common multiple of x and 0, some authors define LCM(x,0) as 0 for all x.
The intervals in which channels announce the news are 2 hours, 3 hours and 4 hours.
So we have to find the LCM of the numbers.
LCM(2,3,4)=12 as 12 is the smallest integer which is divided by all the other 3 numbers.
So the news channels will announce the news after 12 hours.
Since they announced at 7 in the morning so they would all announce the news again at 7 in the evening.
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Is 22/25 a terminating or repeating decimal
Addie runs a sandwich delivery service. her income can be measured using the function y=12x+5, where y is her income and x is the number of sandwiches she delivers. what is a reasonable domain and range for the function of this situation.
Addie's income by running a sandwich delivery service is given by the function y = 12x + 5, which has a domain and range of [0 , +∞) and [5 , +∞), respectively.
In mathematics, a function is the representation of the relationship of a set of input(X) and its corresponding output(Y). The set of x is called the domain while the set of the corresponding y is the range.
If Addie runs a sandwich delivery service. her income can be measured using the function
y = 12x + 5
where x = number of sandwiches she delivers
y = income
The domain of a function is the set of values that we are allowed to plug into our function. The domain of any function of x is always the set of all real numbers but, reasonably speaking, we must consider the situation given. The number of sandwiches she delivers can only range from 0 to positive infinity, not negative.
domain : {x | x ≥ 0} or [0 , +∞)
On the other hand, the range of a function is the set of values of the function after plugging in the value of x.
Substituting our domain [0 , +∞) in the function.
y = 12x + 5
y = 12(0) + 5
y = 5
y = 12(+∞) + 5
y = +∞
range : {y | y ≥ 5} or [5 , +∞)
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If the perimeter of the parallelogram is 62 what is the value of y
Answer:
can you post the pic? or else nobody can help lol
Step-by-step explanation:
Use PEMDAS to solve the following. (17 - 6 divided 2) + 4 x 3
What is the anwser?
A. 54
B. 28.5
C. 21
D. 26
Answer:I used PEMDAS I Got D.26
Step-by-step explanation:
In basketball, teams can score by making two-point shots, three-point shots, and one-point free throws. What algebraic expression models the total number of points that a basketball team scores in a game? If a team makes 10 two-point shots, 5 three-point shots, and 7 free throws, how many points does it score in all?
The algebraic expression models the total number of points that a basketball team scores in a game is 2x+3y+z and If a team makes 10 two-point shots, 5 three-point shots, and 7 free throws then the total points scored by the team is 42 points
Given,
The team can score by making = 2 point ,3 point and one point free throw
Then,
Consider the number of 2 points = x
The number of 3 points =y
The number of one point free throw = z
Then then algebraic expression for the total number of points that a basket ball team scores in a game = 2x+3y+z
Then,
Number of 2 points =10
Number of 3 points = 5
Number of free throws = 7
Substitute the values in the equation
The total points scored by basketball = 2×10+3×5+7
=20+15+7
=42 points
Hence, the algebraic expression models the total number of points that a basketball team scores in a game is 2x+3y+z and If a team makes 10 two-point shots, 5 three-point shots, and 7 free throws then the total points scored by the team is 42 points
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Answer:
ADGJL
Step-by-step explanation:
