Answer: 6.59887x10^-3 (scientific notation) (it’s already in standard form I think)
Step-by-step explanation:
Suppose f(x) = x+1. Find the graph of
Click on the correct answer.
graph 1
graph 2
graph 3
graph 4
Answer:
see step-by-step
Step-by-step explanation:
can't see the graphs (too blurry)
but \(f(\frac{1}{4}x)=\frac{1}{4}x+1\)
Therefore, the y-intercept = (0, 1)
and the x-intercept = (-4, 0)
It's either graph 1 or 4, but you'll have to check the axis intercepts.
On 5.899 how does the value of the 9 in the thousandths place compare with the value of the 9 in the hundredths place?
Answer:
The 9 in the hundredths place is 10 times the 9 in the thousandths place
Step-by-step explanation:
Here, we want to compare the value of 9 in the hundredth place and the value of 9 in the thousandths place.
The value of 9 in the hundredth place has a value of 0.09 while the value of 9 in the thousandths place has a value of 0.009
This means we can write 5.899 as 5 + 0.8 + 0.09 + 0.009
Now back to the question, how does 0.09 compare to 0.009? we can see that 0.09 is 10 times 0.009
This mathematically means that;
0.09 = 10 * 0.009
Hence we can conclude that the 9 in the hundredths place is 10 times the 9 in the thousandths place
Evaluate for x.
f(x) = 9x− 1
ƒ (x) = 44
X =
Answer:
\(\frac{x}{44}\)
Step-by-step explanation:
Hope this helps! :))
Question 12 of 17
Which of the following pairs of functions are inverses of each other?
A. f(x)=3(3)-10 and g(x)=+10
-8
B. f(x)= x=8+9 and g(x) = 4(x+8)-9
C. f(x) = 4(x-12)+2 and g(x)=x+12-2
4
OD. f(x)-3-4 and g(x) = 2(x+4)
3
Answer:
Step-by-step explanation:
To determine if two functions are inverses of each other, we need to check if their compositions result in the identity function.
Let's examine each pair of functions:
A. f(x) = 3(3) - 10 and g(x) = -8
To find the composition, we substitute g(x) into f(x):
f(g(x)) = 3(-8) - 10 = -34
Since f(g(x)) ≠ x, these functions are not inverses of each other.
B. f(x) = x + 8 + 9 and g(x) = 4(x + 8) - 9
To find the composition, we substitute g(x) into f(x):
f(g(x)) = 4(x + 8) - 9 + 8 + 9 = 4x + 32
Since f(g(x)) ≠ x, these functions are not inverses of each other.
C. f(x) = 4(x - 12) + 2 and g(x) = x + 12 - 2
To find the composition, we substitute g(x) into f(x):
f(g(x)) = 4((x + 12) - 2) + 2 = 4x + 44
Since f(g(x)) ≠ x, these functions are not inverses of each other.
D. f(x) = 3 - 4 and g(x) = 2(x + 4)
To find the composition, we substitute g(x) into f(x):
f(g(x)) = 3 - 4 = -1
Since f(g(x)) = x, these functions are inverses of each other.
Therefore, the pair of functions f(x) = 3 - 4 and g(x) = 2(x + 4) are inverses of each other.
Find the value of (1.52 x 〖10〗^5) + (5.4 x 〖10〗^4)
Answer:three significant figures: the 4, the 1, and the 8. This is ... 3) 7.09 x 10¯5 - three significant figures. ... Here is how it would be written: 9.160 x 104. ... Find the number with the LEAST number of digits in the decimal portion. ... The first value in the problem, with three significant places to the right of the decimal point, ...
Missing: (5.4 | Must include: (5.4
Step-by-step explanation:
☽------------❀-------------☾
Hi there!
~
\((1.52\ \times 10^5)+(5.4\times 10^4)\)
\(= (1.52)(10000)+5.4(10^4)\)
\(= 150000 + 5.4(10^4)\)
\(= 150000 + (5.4) (10000)\)
\(= 150000 + 54000\)
\(=20600\)
❀Hope this helped you!❀
☽------------❀-------------☾
Origami Is the Japanese art of paper folding the diagram below represents an unfolded paper Kabuto a Samurai warriors helmet which of the following are pairs of congruent segments
In general, two congruent segments have the same measure. Since no more information about the figure is given, we would need to estimate the measurement of each of its segments.
A) Notice that
\(\begin{gathered} FR=RN \\ and \\ RN=RT+TN \\ \Rightarrow FR=RT+TN \\ \Rightarrow FR\ne TR \end{gathered}\)B)
\(\begin{gathered} BC=PO=IJ=LM \\ \Rightarrow BC=PO \end{gathered}\)C)
\(\begin{gathered} RI^2=RU^2+UI^2 \\ \Rightarrow RI\ne RU \end{gathered}\)D)
\(\begin{gathered} RI=RM=RC=RO \\ \Rightarrow RI=RM \end{gathered}\)E)
\(\begin{gathered} IK=MK=CA=AO \\ \Rightarrow IK=MK \end{gathered}\)Thus, the answers are options B, D, and E.Help ANYONE PLEASE I NEED HELP
What is the solution set for −4x − 10 ≤ 2
Answer:
x≥−3
Step-by-step explanation:
−4x−10≤2
Add 10 to both sides.
−4x≤2+10
Add 2 and 10 to get 12.
−4x≤12
Divide both sides by −4. Since −4 is negative, the inequality direction is changed.
x≥12/-4
Divide 12 by −4 to get −3.
x≥−3
is an angle in a right-angled triangle.
tan 0
=
23
52
What is the value of 0?
Give your answer in degrees to 1 d.p.
Yes, an angle in a right-angled triangle is always present. Without any additional information about the triangle, it is impossible to determine the value of the angle in question.
In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The other two angles in the triangle are acute angles and their measures always add up to 90 degrees.
To find the value of the angle in question, we need to know some additional information about the triangle. If we have the lengths of two sides of the triangle, we can use trigonometric ratios to find the measure of the angle.
For example, if we know the length of the side opposite the angle and the length of the hypotenuse (the longest side of the triangle), we can use the sine ratio to find the measure of the angle.
If we know the length of the side adjacent to the angle and the length of the hypotenuse, we can use the cosine ratio.
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-22/35+14/15
pls hurry I need help.
answer as a reduced proper or improper fraction
Answer:
Step-by-step explanation:
32/105
Raina has a bookcase with d shelves. There are 14 books on each shelf. Using d, write an expression for the total number of books.
Answer:
The expression is 14 × d
= 14d books
Evaluate the expression for the given value of x.
−6x + 5 for x= −6
30 people travelled from London to Manchester for a conference. Of these people 15 travelled by train 9 travelled by plane some travelled by both train and plane 12 did not travel by either train or plane Three people are chosen at random from those who travelled by plane. Find the probability that exactly two of these people also travelled by train.
The probability that exactly two of the three people selected also travel by train is 4/9
What is the probability of an event occurring?The probability of an event occurring is specified by the ratio of the number of required outcomes to the number of possible outcomes.
The number of people that travelled from London to Manchester for the conference = 30
Number of people that traveled by train = 15
Number of people that travelled by plane = 9
Number of people that did not travel by travel by either train or plane = 12
Number of people chosen from those that traveled by plane = 3
The probability that two of those selected also traveled by train can be found as follows;
The number of people that traveled by either train of plane = 30 - 12 = 18
The number of people that traveled by plane and train = 15 + 9 - 18 = 6
The binomial probability distribution formula that can be used to find the probability of an event, p, occurring exactly r times is as follows;
P(p) = \(_nC_r\cdot p^r\cdot q^{n-r}\)
Where;
n = Number of people chosen = 3
r = Number of people chosen that also traveled by train = 2
p = Probability that a person chosen also traveled by train = 6/9 = 2/3
q = Probability that a person chosen did not travel by train = 3/9 = 1/3
Therefore;
\(P = _3C_2\times \left(\dfrac{2}{3}\right) ^2\times \left(\dfrac{1}{3} \right)^{3-2} = \dfrac{4}{9}\)
The probability that exactly two of the people chosen at random also traveled by train is P = 4/9Learn more about the probability of an event here:
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find the value of y0 for which the solution of the initial value problem y − y = 1 3 sin t, y(0) = y0 remains finite as t → [infinity].
The value of y0 for which the solution of the initial value problem y' − y = 1 + 3 sin t, y(0) = y0 is:
y(0) = 3√2 - 1 = 3.24
Now, According t o the question:
A linear equation or polynomial, with one or more terms, consisting of the derivatives of the dependent variable with respect to one or more independent variables is known as a linear differential equation.
The general solution y of this equation is y = y0 + y1
where y0 = A\(e^t\) is the solution for the equation y' - y = 0 (homogeneous equation), an
y1 = (3/2)(sint + cost) - 1 = 3√2 sin(t + (π/4)) - 1 -
particular solution of the inhomogeneous equation. Thus, we have
y(t) =A\(e^t\) + 3√2 sin (t + (π/4)) - 1
To have the function y(t) finite for t → ∞ ,
We have to put A = 0. Then, it follows
y(0) = 3√2 - 1 = 3.24
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If 3^2x+1 - 3^x+5, what is the value of x?
Answer:
3^(2x+1)
Step-by-step explanation: srry if am wrong and am probally wrong.
Helppppppppppppppppp
Answer:
17 is the value of expression
Step-by-step explanation:
Hope it helps
State the number of solutions to an independent system with two equations and two unknowns.
An independent system with two equations and two unknowns typically has a unique solution.
In a system of equations, each equation represents a relationship between variables. When we have two equations and two unknowns, it means we are trying to find values for two variables that satisfy both equations simultaneously. An independent system of equations means that the two equations are not multiples or combinations of each other. In other words, they provide distinct information and do not contradict each other. In such cases, the system has a unique solution, which means there is a specific set of values for the variables that satisfy both equations. Graphically, an independent system of equations corresponds to two lines in the coordinate plane that intersect at a single point. Algebraically, it means there are no redundancies or inconsistencies in the equations, allowing us to solve for the unknowns and find a unique solution. It's important to note that there can be other types of systems as well, such as dependent systems (infinite solutions) or inconsistent systems (no solutions). However, an independent system with two equations and two unknowns typically has a single solution.
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A rectangular playground measures (y + 2) on one side
and (y – 4) on the other side. What is the area of the
playground?
The area of the playground is y² - 2y - 8
Area of a rectangle is expressed as:
Area of the rectangle = LW
Given
L is the length = y + 2
W is the width = y - 4
Substitute the given expression into the formula
A = (y+2)(y-4)
A = y² - 4y + 2y - 8
A = y² - 2y - 8
Hence the area of the playground is y² - 2y - 8
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6²-26+3
A) quadratic monomial
B) cubic binomial
C) quartic trinomial
D) quadratic trinomial
Determine whether the geometric series below are convergent or divergent. For those that are convergent, determine S. Enter Soo for series that are divergent (using the input pallet). a 486, 162, 54, 18, 6, 2,... S b. 2, 10, 50, 250, 1250,-6250.... S = C 4, 12, 36, 108, 324, 972,... S d -28125, 5625, -1125, 225,-45, 9.... convergent divergent
a. The given geometric series with a = 486, r = 1/3 is convergent.
To determine if a geometric series is convergent, we need to check if the common ratio (r) is between -1 and 1 (excluding -1 and 1). In this case, 1/3 satisfies the condition, so the series is convergent.
To find the sum (S) of a convergent geometric series, we can use the formula:
S = a / (1 - r)
Plugging in the values, we have:
S = 486 / (1 - 1/3)
S = 486 / (2/3)
S = 729
Therefore, the sum of the series is S = 729.
b. The given geometric series with a = 2 and r = 5 is divergent.
In this case, the common ratio (r = 5) is greater than 1, which means the series is divergent. Therefore, the sum of the series is not applicable (N/A) or "Soo" (using the input pallet).
c. The given geometric series with a = 4 and r = 3 is divergent.
Similar to the previous case, the common ratio (r = 3) is greater than 1, indicating that the series is divergent. Thus, the sum is not applicable (N/A) or "Soo."
d. The given geometric series with a = -28125 and r = 1/5 is convergent.
The common ratio (r = 1/5) satisfies the condition of being between -1 and 1, making the series convergent.
To find the sum (S) of this convergent geometric series, we can use the formula:
S = a / (1 - r)
Plugging in the values, we have:
S = -28125 / (1 - 1/5)
S = -28125 / (4/5)
S = -140625
Therefore, the sum of the series is S = -140625.
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The expression shown is the cost a customer pays for an item, where cis the cost the store pays for the item and 0.85c is the 85% price increase the store adds to the item. Which expression is equivalent to c + 0.85c? 1.150 0.15c 0.850 1.85c My Progress
Simplify the equivalent expression c+0.85c by adding the coefficient of same variables.
\(\begin{gathered} c+0.85c=(1+0.85)c \\ =1.85c \end{gathered}\)So equivalent expression is 1.85c.
What is an equation of the line that passes through the points (4,1) and (8, -3)?
O A. y = x - 3
O C. y = -x + 3
B. y = x - 11
OD. y = -x + 5
Find the length of the bold arc.Leave pi in your
answer.
Answer:
5688 pi ft
Step-by-step explanation:
lol
Solve for X
Will give brainiest
what is x of the equation 3(2x+1)+11=-2(2x-2)
Answer:
x=1
Step-by-step explanation:
If the 4th and 7th terms of a geometric sequence are 1/16 and
1/128, then the sum of the first 7 terms of this sequence is equal
to
Therefore, the sum of the first 7 terms of the given geometric sequence is 127/128.
To find the sum of the first 7 terms of a geometric sequence, we need to determine the common ratio and the first term of the sequence.
Let's denote the first term of the sequence as 'a' and the common ratio as 'r'.
Given that the 4th term is 1/16 and the 7th term is 1/128, we can write the following equations:
a * r^3 = 1/16 (equation 1)
a * r^6 = 1/128 (equation 2)
Dividing equation 2 by equation 1, we get:
(r^6)/(r^3) = (1/128)/(1/16)
r^3 = 1/8
Taking the cube root of both sides, we find:
r = 1/2
Substituting the value of r back into equation 1, we can solve for 'a':
a * (1/2)^3 = 1/16
a * 1/8 = 1/16
a = 1/2
Now we have the first term 'a' as 1/2 and the common ratio 'r' as 1/2.
The sum of the first 7 terms of the geometric sequence can be calculated using the formula:
Sum = a * (1 - r^n) / (1 - r)
Substituting the values into the formula, we have:
Sum = (1/2) * (1 - (1/2)^7) / (1 - 1/2)
Simplifying the expression
Sum = (1/2) * (1 - 1/128) / (1/2)
Sum = (1/2) * (127/128) / (1/2)
Sum = (127/128)
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Select three ratios that are equivalent to 8 : 5
Answer:
16:10, 24:15, 32:20, etc.
Step-by-step explanation:
Please help me with this question
Answer:
a. 6.71
b. 4.24
c. 8.66
Step-by-step explanation:
a uses the Pythagorean theorem that states \(a^{2} + b^{2} = c^{2}\)
therefore \(6^{2} + x^{2} = 9^{2} \\\)
81 - 36 = \(x^{2}\)
45 = \(x^{2}\)
\(\sqrt{45} = x\)
6.71 = x
b also uses pythagorean theorem. the lines on the 2 sides of the triangles indicates that they are equal. Therefore \(x^{2} +x^{2} =6^{2}\)
36 / 2 = \(x^{2}\)
18 = \(x^{2}\)
\(\sqrt{18} = x\)
4.24 = x
c uses trigonometry. It is tan because the opposite and the adjacent lengths are provided.
the equation to find an unknown length is tan(angle) = \(\frac{o}{a}\)
replace the known angles and you get
tan(60) = \(\frac{x}{5}\)
then solve for x
5 x tan(60) = x
8.66 = x
Hope this helps :)
What is the general equation for a double-displacement reaction?
Answer:
AB + CD → AD + CB
Explanation:
The double-replacement reaction generally takes the form of AB + CD → AD + CB where A and C are positively-charged cations, while B and D are negatively-charged anions.
For the first four hours of the day, the arrival rate at the gas station is 18 vehicles per hour. The gas station is capable of serving 16 vehicles per hour. The last vehicles arrives exactly four hours after the start of the day. Assume that the system is empty at the start and that no vehicle who arrives leaves without being served.
How long will that vehicles be in the gas station (in hours)?
Note: Round your answer to 2 decimal places.
The gas station serves 16 vehicles per hour, and 72 vehicles arrive in 4 hours. The vehicles will spend 4.50 hours at the gas station.
To find the total time the vehicles will spend at the gas station, we need to calculate the total number of vehicles that arrive and then divide it by the rate at which the gas station serves vehicles.
Given:
Arrival rate: 18 vehicles per hour
Service rate: 16 vehicles per hour
Time: 4 hours
First, let's calculate the total number of vehicles that arrive during the 4-hour period:
Total number of vehicles = Arrival rate * Time
= 18 vehicles/hour * 4 hours
= 72 vehicles
Since the gas station can serve 16 vehicles per hour, we can determine the time it takes to serve all the vehicles:
Time to serve all vehicles = Total number of vehicles / Service rate
= 72 vehicles / 16 vehicles/hour
= 4.5 hours
Therefore, the vehicles will spend 4.5 hours at the gas station. Rounded to 2 decimal places, the answer is 4.50 hours.
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