The terms given in US national debt in standard form when converted to scientific notation form will be 2.86 * 10^11, 3.70 * 10^11, 9.07 * 10^11, 3.23 * 10^12, 5.67 * 10^12 and 1.35 * 10^13 respectively.
Scientific notation if the process of conversion of very large numbers which are otherwise inconvenient to read into decimal form raised to some power of 10. During this conversion, the numbers in standard form are written such that only one place value before decimal is left and written as coefficient and all other numbers are then counted and written in the form of base 10 raised to some exponent value. The coefficient value must be such that its value lies between 1 and 9 and less than 10. Thus, the following numbers can be written as follows in scientific form.
286330760848.37 = 2.86 * 10^11
370918706949.93 = 3.70 * 10^11
907701000000.00 = 9.07 * 10^11
3233313451777.25 = 3.23 * 10^12
5674178209886.86 = 5.67 * 10^12
13561623030891.79 = 1.35 * 10^13
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What is the amplitude of y = 3sin4θ ? (F) 4/3 (G) 3 (H) 4 (I) 2π
Answer:
a sin(bθ−c)+d
→ Using this, find the amplitude based off of the given formula. Use the expression as a reference to help you identify a.
a = 3
b = 4
c = 0(no defined value)
d = 0(impossible to identify)
→ Find a.
→ Since a is already given, we know that a = 3, therefore, the amplitude is 3
Which function is a phase shift of y=sin \theta by 5 units to the left?
(A) y=5 sinθ (C) y=sin (θ+5)
(B) y=sinθ+5 (D) y=sin 5 θ
Answer:
C.
Step-by-step explanation:
C describes theta moving +5 units. In math, negative goes left, negative goes left. However, since there are no negative values involved, we can assume that theta will move 5 units to the left in terms of absolute value, which excludes the need for the negative to be moved left. Therefore, the answer is C due to this change.
I hope this helps, let me know if anything confuses you, and I will try my best to make it less confusing.
rewrite the equation in standard form (y=ax^2+bx+c)
y=3(x-5)^2 +1
please show and explain steps, thanks
It should be noted that rewriting the equation y=3(x-5)² +1 in another form is y = 3x² - 30x + 76.
How o illustrate the information?It should be noted that the information is that we should rewrite the equation y=3(x-5)² +1 in another form.
This will be illustrated as:
y = 3(x-5)² + 1.
It should be noted that (x - 5)² will be:
= (x - 5)(x - 5)
= x² - 5x - 5x + 25
= x² - 10x + 25
y = 3(x-5)² + 1.
y = 3(x² - 10x + 25) + 1
y = 3x² - 30x + 75 + 1
y = 3x² - 30x + 76
In conclusion, it should be noted that rewriting the equation y=3(x-5)² +1 in another form is y = 3x² - 30x + 76.
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2x + x - 4y simplify by combining like terms
Help me with this question.
Let's solve the problem,
→ [(2 + 2) - (6 - 2)] ÷ 2
→ (4 - 4) ÷ 2
→ 0 ÷ 2 = 0
Thus, the answer is 0.
2. Order the numbers from least to
greatest.
45, 4.5, √20, √45
Answer:
√20, 4.5, √45, 45
Step-by-step explanation:
find your square roots first, then group based on the value of the square roots
Write each expression as a single natural logarithm. 4 ln 8+ln 10
Expression as a single natural logarithm is ln 64/64 = ln 1.
ln 1 is the converted from 2 ln 8-3 ln 4 to a single natural logarithm.
We need to convert 2 ln 8-3 ln 4 as a single natural logarithm.
First apply power property
⇒ ln 8² - ln 4³
⇒ ln 64 - ln 64
Now, applying quotient property
⇒ ln 64/64 = ln 1
Here, we finally converted 2 ln 8-3 ln 4 to a single natural logarithm ln 1.
What is natural logarithm?The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.
The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).
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0.3 centimeters= ?meters
A factory produces 100 units of a certain product and 6 of them are defective. If three units are picked at random then what is the probability that at least one of them is defective?.
The probability that at least one of them is defective if three units are picked at random is 0.8560.
We would define Ai as the event that the i th chosen unit is not defective, for I = 1, 2, 3. We are interested in P (A1 ∩ A2 ∩ A3). Note that
P(A1) = 95/100
Given that the first chosen item was good, the second item will be chosen from 94 good units and 5 defective units, thus
P (A2 ∣ A1) = 94/99
Given that the first and second chosen items were okay, the third item will be chosen from 93 good units and 5 defective units, thus
P (A3∣ A2, A1) = 93/98
Thus, we have
P(A1∩ A2 ∩ A3) = P(A1) P(A2∣ A1) P(A3∣ A2, A1)
=95/100*94/99*93/98
=0.8560
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Ann starts her homework at 4.15pm. she takes 1 hour and 10 minutes. what time does she finish?
Answer:
5:25pm
Step-by-step explanation:
4.15 + 1.10 = 5.25
Drag each division expression to the correct location on the table.
Solve each division problem, and classify it based on its quotient.
There are three expressions having quotient 6 are:
4 2/3 ÷ 7/9
9 ÷ 3/2
12/7 ÷ 2/7
There are three expressions having quotient 9 are:
4 1/2 ÷ 1/2
21 ÷ 7/3
72/7 ÷ 8/7
What is division?The splitting of a large group into smaller groups such that every group will have an equal number of items.
We have,
Finding quotient for each expression.
1.
4 2/3 ÷ 7/9
= 14/3 ÷ 7/9
= 14/3 x 9/7
=6
2.
9 ÷ 3/2
= 9 x 2/3
= 6
3.
4 1/2 ÷ 1/2
= 9/2 x 2/1
= 9
4.
21 ÷ 7/3
= 21 x 3/7
= 9
5.
12/7 ÷ 2/7
= 12/7 x 7/2
= 6
6.
72/7 ÷ 8/7
= 72/7 x 7/8
= 9
Thus,
Expression having quotient 6:
- 4 2/3 ÷ 7/9
- 9 ÷ 3/2
- 12/7 ÷ 2/7
Expression having quotient 9:
- 4 1/2 ÷ 1/2
- 21 ÷ 7/3
- 72/7 ÷ 8/7
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31.4 rounded to the nearest tenth of a centimeter
Answer: 31.4
Step-by-step explanation:
the four is in the tenth place and we are rounding to that place.
The given decimal number is rounded to the nearest tenth as 31.4.
The given decimal number is 31.4.
Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.
Here, in 31.40 digit in the hundredths place is 0, which is less than 5.
So, the digit in the tens place remain same and digits after tens place becomes zero.
That is, 31.4
Therefore, the given decimal number is rounded to the nearest tenth as 31.4.
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Simplify the expression
a(6-1)+3b-b(2-1)+10
Answer:
5a+2b+10
Step-by-step explanation:
Let's simplify step-by-step.
a(6−1)+3b−b(2−1)+10
=5a+3b+−b+10
Combine Like Terms:
=5a+3b+−b+10
=(5a)+(3b+−b)+(10)
=5a+2b+10
Find the sum 3/5+(-1/5)
Solving the Question
Whenever we add or subtract fractions, we have to first ensure that the denominators of the fractions are the same. In this case, they are, so we don't have to go out of our way to find a common denominator.
[tex]\dfrac{3}{5}+(-\dfrac{1}{5})[/tex]
Now, let's open up the parentheses:
[tex]\dfrac{3}{5}-\dfrac{1}{5}[/tex]
Subtract only the numerators:
[tex]\dfrac{2}{5}[/tex]
Answer[tex]\dfrac{2}{5}[/tex]
help me plsssss the deadline is noww
multiple choice :
A) 0
B) 6
C) 32
D) 4
E) 36
Answer:
your answer would be b ( 6 )
Step-by-step explanation:
Answer:
B) 6
Step-by-step explanation:
[tex]{ \tt{ {(k - 2)x}^{2} - 6x + 12 = 0}} \\ \\ { \tt{ {x}^{2} - \: ( \frac{6}{k - 2})x \: + \: \frac{12}{k - 2} = 0 }}[/tex]
Product of roots: 12/(k-2)
[tex]{ \tt{ \frac{12}{k - 2} = 3 }} \\ \\ { \tt{3(k - 2) = 12}} \\ \\ { \tt{ \frac{3(k - 2)}{3} = \frac{12}{3} }} \\ \\ { \tt{k - 2 = 4}} \\ \\ { \tt{k = 6}}[/tex]
I need the answer for question #8
If n is a negative number and p is a positive
number, which of the following is the greatest?
A. n-p
B. np
C. np^2
D. p-n
E. pn^3
Answer:
The answer is n-p
Please mark me brainalist !
Can someone please explain this to me I need help asap
The value of x in the mean is 53.
How to calculate the value?The total values of the numbers will be given as:
= 50 × 5
= 250
Therefore, the last number represented by x will be:
= 250 - (55 + 45 + 53 + 44)
= 250 - 197
= 53
Therefore, the value of x is 53.
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Answer the following questions.
口
1) Choose the correct answer.
Which set of numbers are integers but not whole numbers or natural numbers?
O{0, 1, 2, 3}
O {√1,√√4,√-5}
O{-2, -3, - 4}
01 11
2'4'8)
0 {/1/2
}}
O {√2, T, √3}
The set of numbers that are integers but not whole numbers or natural numbers is {-2, -3, -4}
From the question, we are to determine the set of numbers that are integers but not whole numbers or natural numbers
An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero. E.g -5, -13, 5, 0, -3, 78, 15, etc
Whole numbers is a collection of all the basic counting numbers and 0. E.g 0, 1, 2, 3, 4, 5 etc
Natural numbers are the numbers that start from 1 and end at infinity. E.g 1, 2, 3, 4, 5, 6, etc
Hence, the set of numbers that are integers but not whole numbers or natural numbers is {-2, -3, -4}
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Choose the correct term to complete each sentence.The additive identity of a matrix is the ____
Answer:
number 0
Step-by-step explanation:
The identity property of addition states that when zero is added to any real number, the number does not change. Thus, the number "0" is called the additive identity of a matrix.
If 3 apples are 3 for 90 cents and i buy 7 apples how much did I pay
Answer:
Step-by-step explanation:
2.10$
your answer is 2.10$
7. Find x
(3x-21)
(2x+4)
Answer:
x= 7
Step-by-step explanation:
3 × 7 =21
Factor each expression completely. 16 a²-9 b²
Use the identity a^2-b^2 = (a+b)(a-b) to factor 16a^2 - 9b^2. The two terms are perfect square thus find a and b by taking the square roots. Complete the factoring of a^2 - b^2
16a^2−9b^2
a=√16a^2=4a
b=√9b^2=3b
a^2−b^2=(4a)^2−(3b)^2
Substitute: a^2-b^2 = (a+b)(a-b)
(4a+3b)(4a−3b)
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For each function, find the inverse and the domain and range of the function and its inverse. Determine whether the inverse is a function. f(x)=1/x²
Answer to this question is:
Domain of given function is (-∞,0)∪(0,∞),{x|x≠0}
Range of given function is (0,∞),{y|y>0}
Inverse of given function is √x/x,-√x/x
The domain is all values of x that make the expression defined.The entire range of independent variable values is the domain of a function.
This definition can be stated simply as follows: The domain is the collection of all x-values that can be used to make the function "work" and produce actual y-values.
When choosing the domain, keep in mind that a fraction's denominator (bottom) cannot be 0.
Interval Notation:(-∞,0)∪(0,∞)
Set-Builder Notation:{x|x≠0}
The set of all valid y values constitutes the range.Graph may be used to find the values.
Interval Notation:(0,∞)
Set-Builder Notation:{y|y>0}
For calculation of inverse:
Interchange the variables x=1/y²Solve for yy=√x/x,-√x/xReplace y with f^-1(x)f^-1(x)=√x/x,-√x/x∴Domain of given function is (-∞,0)∪(0,∞),{x|x≠0}
Range of given function is (0,∞),{y|y>0}
Inverse of given function is √x/x,-√x/x
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I need help…………………….
you earn $9.15 per hour painting a fence. it takes 6.75 hours to paint the fence. did you earn enough to buy the jersey show? is so how much money do you have left? if not how much money to you need to earn.
Answer:
Step-by-step explanation:
ok so go on a new tab and put if I earn $9.15 per hour painting a fence. it takes 6.75 hours to paint the fence. did you earn enough to buy the jersey show? is so how much money do you have left? if not how much money do you need to earn? easy. -5 start pls-
To avoid a storm, a passenger-jet pilot descended 0.14 mile in 0.4 minute. What was the plane's average change of altitude per minute?
plane's average change of altitude per minute 0.35 miles descended per minute.
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Here it is given that :
To avoid a storm, a passenger-jet pilot descended 0.14 mile in 0.4 minute and it is to find the plane's average change of altitude per minute and to find that we divide 0.14 miles with 0.4 minutes it will give us the descended
passenger-jet pilot does in a minute that is plane's average change of altitude :
In 0.4 minute = 0.14 miles descended
In 1 minute = 0.14/0.4 miles descended
In 1 minute = 0.35 miles descended
Therefore, plane's average change of altitude per minute 0.35 miles descended per minute.
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what property is used in 7+(4+6)=7+n
The substitution property of equality is the property used in 7+(4+6)=7+n
What is the substitution property of equality?
The substitution property of equality refers to when a value is replaced in an equation with another value that are same or equal to the first. say AA is being used in an equation and another value say BB, replaces AA in the equation. In this case we say that AA is being substituted for BB in the equation
The equation here can be compared to see that n and ( 4 + 6 ) are the pairs that are substituted so we can say that the property used here is the substitution property of equality
Given data
7+(4+6)=7+n
n = ( 4 + 6 )
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How to figure out what to do HCF or LCM
Answer: To find the HCF, find any prime factors that are in common between the products. Each product contains two 2s and one 3, so use these for the HCF. Cross any numbers used so far off from the products. To find the LCM, multiply the HCF by all the numbers in the products that have not yet been used.
Step-by-step explanation:
Please help me with the blanks.
Each answer can be used more than once, by the way.
Completing the Automatic grading is used for empty questions. If a student's response corresponds to the right response you give, you will receive credit for that answer. The technique you use to assess the responses is up to you.
100% exact
Comprised comprises a portion of the right response
meets the criteria you define for a pattern
Enter your query in text form, then enclose the response in brackets. To format the text and add formulas, files, photos, and links, utilize the editor's formatting options.
Using a semicolon, divide several right responses.
Example: Red, blue, and yellow are three examples of primary colors.
A regular expression might also be used. Each blank will only accept one expression at a time. Remember to enclose both the regular expression and the solution in brackets.
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