Answer:
Revolution traveled by me = 30π ft.
Revolution traveled by my friend = 20π ft.
Difference between revolutions = 10π ft.
Step-by-step explanation:
In one revolution, I travel 2π(15) = 30π ft., and my friend travels 2π(10) = 20π ft., so my revolution is 30π - 20π, or 10π, ft. longer than my friend's revolution.
0.3 centimeters= ?meters
The grid above shows the graph of the parent function f(x)= |x| and a translated functions graph.
Use f(x)=|x| f(x) is shifted left 5 and shifted up 2 to create g (x). write the equation g(x).
The equation of the translated graph from the parent function is g(x) = |x + 2| + 1
How to write the equation of the translated graph?The parent function is given as
f(x)= |x|
From the graph, we can see that the parent function f(x) is translated as follows:
2 units left translation1 unit up translationThe above sequence of translation is represented as
(x, y) = (x + 2, y + 1)
So, we have
g(x) = |x + 2| + 1
Hence, the equation of the translated graph is g(x) = |x + 2| + 1
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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 !
2x + x - 4y simplify by combining like terms
What is the formula for the equation of a proportional line?
Answer: y=kx
Step-by-step explanation:
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-
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
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.
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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How do the domains and ranges of the functions f(x)=√x-1 and g(x)=√x-1 compare?
The domain and range of the function f(x) is [1, ∞) and (0, ∞) and g(x) is (0,∞) and [-1, ∞).
Domain of function f(x) :
√ (x - 1) ≥ 0
So, we get that:
x ≥ 1
= [1, ∞)
Range = (0, ∞) as square of a number is always positive.
Domain of function g(x):
√ x ≥ 0
on adding 1 both sides we get
x ≥ 0
= (0,∞)
Range = [-1, ∞).
Therefore, the domain and range of the function f(x) is [1, ∞) and (0, ∞) and g(x) is (0,∞) and [-1, ∞).
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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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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
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.
Samantha claims that 4x + 2 is equivalent to the expression x + 17 + 3x - 15.
Check whether Samantha's equivalent expression is correct using x = 2.
A.)Samantha S incorrect because when
using x = 2, the resulting values in
both expressions are different
B.)Samantha is
incorrect because the expressions cannot be checked using x = 2.
C.)Samantha is correct
because when using x 2, the resulting values in
both expressions are equal.
Option C: Samantha is correct because when using x=2, the resulting values in both expressions are equal.
Consider, 4x + 2
When x = 2,
=> 4x + 2 = 4*2 + 2
=> 10
Now consider, x + 17 + 3x - 15
When x = 2,
=> 2 + 17 + 3*2 - 15
=> 10
Therefore, Samantha is correct as both expressions equal 10 when x=2.
In other words, if we consider, x + 17 + 3x - 15
=> x + 17 + 3x - 15
=> x(1+3) + 17 - 15
=> 4x + 2
This shows that for any value of x, the expression x + 17 + 3x - 15, simplifies to 4x + 2.
Therefore, both the expressions, 4x + 2 and x + 17 + 3x - 15, are equal.
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Angles A and B are complementary to each other. If m∠A = 41° and m∠B = (2x + 19)°, find the value of x.
x = 15
x = 11
x = 58
x = 30
Given that Angles A and B are complementary to each other, the numerical value of x is 15.
What is the numerical value of x?Complementary angles are angles that sum up to 90 degrees.
Given the data in the question;
Angles A and B are complementary to each other.Measure of angle A = 41°Measure of angle B = (2x + 19)°Since Angles A and B are complementary to each other, the sum of angle A and B is 90 degrees.
Measure of angle A + Measure of angle B = 90°
Plug in the given values and solve for x.
41 + (2x + 19) = 90
41 + 2x + 19 = 90
2x + 60 = 90
2x = 90 - 60
2x = 30
x = 30/2
x = 15
Given that Angles A and B are complementary to each other, the numerical value of x is 15.
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Answer: A is the answer
Step-by-step explanation: i took the test and got it right
Adi has a dentist appointment at 09:10 am.
He gets to the dentist's surgery at 08:56 am.
How many minutes early is he?
Answer:
Step-by-step explanation: 14 minutes
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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Which of the binomials below is a factor of this expression?
100A²-498²
OA. A+ 7B
OB. 10A+7B
OC. A + B
OD. 10A+B
Answer: B. 10A + 7B
Step-by-step explanation:
To find the correct binomial, we will factor the given expression. I assume that by "-498²" you mean "-49B²".
This is a difference of squares:
(10A + 7B)(10A - 7B)
The binomial 10A + 7B is an answer option, so our answer is:
B. 10A + 7B
The perimeter of a rectangular pool is 160 meters. The length of the pool is 20 meters more than its width. What is the length?
Answer:
50 meters
Step-by-step explanation:
Width is x
So length will be x + 20
Perimeter = 2 (W + L) = 2 (x + x + 20) = 2 (2x + 20) = 4x + 40
so 4x + 40 = 160
4x = 120
x = 30
so length = x + 20 = 30 + 20 = 50
i will give yall 100 points if this get answered fast:
HELP ME PLEASE FAST
write a linear function to model the following situation:
An airplane is 30,000 ft. in the air and descending 1,000 ft. for each mile it travels.
descending means its going ____.
write the equation.
Y= _____________
or as a function
f(x) = 30,000 - 1,000x
the question is: How far away from the airport does the airplane have to start to descend to land safely? To answer that, we need to find the x- intercept
Answer:
x = 30
Step-by-step explanation:
To find the x intercept, you need to substitute [tex]y = 0[/tex], as all points on the x axis's y-coordinate is 0.
[tex]0 = 30000 - 1000x\\ \\ \to 0 + 1000x = 30000 \cancel{- 1000x + 1000x} \\\\ \to 1000x = 30000 \\ \\\to \frac{1000x}{1000} = \frac{30000}{1000} \\ \\\to x = 30[/tex]
Answer: Its x= 30
Step-by-step explanation:
Solve each equation.
log x-log 3=8
log(x) - log (3) = 8 => x = 299916251.899, by properties of logarithm.
What is Logarithm?The opposite of exponentiation is the logarithm.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.Now,
log (x) - log (3) = 8
=> log (x) = 8 + log (3) = 8 + 0.477
=> log (x) = 8.477
Since, generally the base of log is 10, raising them to 10.
=> [tex]10^{log_{10}x} = 10^{8.477}[/tex]
=> x = 299916251.899 (as [tex]a^{log_a(x)} = x[/tex])
Hence, log(x) - log (3) = 8 => x = 299916251.899, by properties of logarithm.
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Solve the compound inequality
|x-3|<4 and |x+2|>8
The solution of the compound inequality are:
| x - 3 | < 4 -1 < x < 7
| x + 2 | > 8 -10 < x or x >6
How to solve the inequality
Given data
| x - 3 | < 4 and | x + 2 | > 8
Solution the first inequality | x - 3 | < 4
| x - 3 | < 4
x < 4 + 3 OR x > - 4 + 3
x < 7 OR x > - 1
-1 < x < 7
Solution for the second inequality | x + 2 | > 8
| x + 2 | > 8
x < -8 - 2 OR x > 8 - 2
x < - 10 OR x > 6
-10 < x or x >6
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1. f(x)= (x+4)(x-6) 2. f(x)= (2x-4)(x-3)
Find the x-intercept
FOIL to convert functions to standard
Find the y-intercept
Answer both.
The intercepts and the standard form of each polynomial are listed below:
x-Intercept: x = - 4 or x = 6, Standard form: f(x) = x² - 2 · x - 24, y-Intercept: f(0) = - 24x-Intercept: x = 1 / 4 or x = 3, Standard form: f(x) = 2 · x² - 10 · x + 12, y-Intercept: f(0) = 12How to find the intercepts and the standard form of quadratic equationsIn this case we need to find the intercepts of each quadratic equation and transform each quadratic equation into standard form. The x-intercept correspond with each of the roots of the polynomial and the y-intercept is found by evaluating the expression at x = 0.
Now we proceed to find each element:
Case 1
x-Intercept
x = - 4 or x = 6
Standard form
f(x) = (x + 4) · (x - 6)
f(x) = x² - 2 · x - 24
y-Intercept
f(0) = - 24
Case 2
x-Intercept
x = 1 / 4 or x = 3
Standard form
f(x) = (2 · x - 4) · (x - 3)
f(x) = 2 · (x - 2) · (x - 3)
f(x) = 2 · (x² - 5 · x + 6)
f(x) = 2 · x² - 10 · x + 12
y-Intercept
f(0) = 12
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Divide and simplify. √128/8
The simplest form of the expression is √2 .
Expressions in science square measure mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by degree operator in between.Simplifying expressions mean redaction an identical maths expression with no like terms and through a compact manner.To change expressions, we tend to tend to combine all kind terms and solve all the given brackets, if any, so at intervals the simplified expression, we tend to square measure about to be exclusively left with not like terms that cannot be reduced any.We have given an expression √128/8 . .....(1)
Factors of 128 is given by
128 = 2 × 2 × 2 × 2 × 2 × 2 × 2
Put this factors in equation (1) , we get
√128/8 = [tex]\frac{\sqrt{2\times2\times2\times2\times2\times2\times2} }{8}[/tex]
On simplifying , we get
√128/8 = 2 ×2 × 2√2 / 8
= 8√2 /8
= √2
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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
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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Eva went miniature golfing with Taylor. She shot
4 under par and Taylor shot 2 under par. By how
many strokes did Eva beat Taylor?
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:
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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-4x-1+x4/10-2x2 in standard form
The standard form will be
1/10 x⁴-2x²-4x-1
Polynomials in standard form can also be referred to as the standard form of a polynomial which means writing a polynomial in the descending order of the power of the variable. To write a polynomial in a standard form, the degree of the polynomial is important as in the standard form of a polynomial, the terms are written in decreasing order of the power of x. The standard form of polynomial is given by, f(x) = anxn + an-1xn-1 + an-2xn-2 + ... + a1x + a0, where x is the variable and ai are coefficients.
A mathematical expression of one or more algebraic terms in which the variables involved have only non-negative integer powers is called a polynomial. The terms have variables, constants, and exponents. The standard form polynomial of degree 'n' is
aₙxⁿ+aₙ₋₁xⁿ⁻¹+aₙ₋₂xⁿ⁻²+.......
To write a polynomial in standard form ,simplyfy and then arrange the terms in descending order.
ax²+bx+c
move -1
-4x+x⁴/10-2x²-1
Reorder terms
1/10x⁴-2x²-4x-1
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