Answer:
•35 - 5m
•6 + 2f
Step-by-step explanation:
•5(7-m):
[5×7] - [5×m]=
35 - 5m
•2(3+f):
[2×3] + [2×f]=
6 + 2f
please help factorise 7ab+a
Answer:
= a(7b + 1)
Step-by-step explanation:
7ab + a
a(7b + 1).
sum compounded alluny
Shar
d) The difference between the annual and semi-annual compound interest on
of money is Rs 482 at the rate of 20 % per annum for 2 years. Find the sum
Answer:
Rs 20000
Step-by-step explanation:
Let the sum is x.
The rate of interest, r=20%=0.2
Time, t=2 years.
Total amount after t years, \(A= x \left(1+\frac{r}{n}\right)^{tn}\)
The value of n when compounded annually, n=1
So, the total amount,
\(A_1=x \left(1+\frac{0.2}{1}\right)^{2\times 1}=x(1.2)^2\)
The compound interest when compounded annually,
\(I_1 =x(1.2)^2-x\)
The value of n when compounded semi-annually, n=2
So, the total amount, \(A_2 = x \left(1+\frac{0.2}{2}\right)^{2\times 2}=x(1.1)^4\)
The compound interest when compounded semi-annually,
\(I_2 =x(1.1)^4-x\)
As the difference between the annual and semi-annual compound interest on x amount of money is Rs 482, so
\(I_2-I_1=482 \\\\(x(1.1)^4-x)-(x(1.2)^2-x)=482 \\\\x(1.1)^4-x(1.2)^2=482 \\\\x(1.1^4 - 1.2^2) = 482 \\\\x(0.0241) = 482 \\\\x=482/0.0241 \\\\\)
x=20000
Hence, the sum is Rs 20000.
what is slope if the line x=-1
Step-by-step explanation:
Vertical line => Slope is Undefined.
Answer:
Undefined.
Explanation:
This is a vertical line, and this line will have an undefined slope.
So the answer is x=-1 is undefined.
Hopefully this is correct. Good luck with your studies.
Ayuda porfa doy corona
Answer:
goto chrome and search spankbang
Step-by-step explanation:
thet the answer
At the beginning of the summer, Jenna had saved $166. To earn money over the summer, she is working part time at the local
community center. She will earn $23 per day of work. If x represents the number of days she works, which of the following
equations represents how much money she will have, including her savings?
Jenna will have total money, y= 166 + 23x.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Jenna had saved $166.
She will earn $23 per day of work
If x represents the number of days she works the she will earn
= 23x
So, She will have total
= 166+ 23x
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T/F. Exception reports show a greater level of detail than is included in routine reports.
True. Exception reports show a greater level of detail than is included in routine reports.
Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.
This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.
This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.
It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.
For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.
The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.
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Ahmad has been given a list of bands and asked to place a vote. His vote must have the names of his favorite, second favorite, and third favorite bands from the list. How many different votes are possible
Ahmad has been given a list of bands and asked to place a vote.
His vote must have the names of his favorite, second favorite, and third favorite bands from the list. Therefore, he needs to choose three bands out of the list of bands. Let's say there are n bands in the list.Therefore, the number of different votes that are possible is equal to the number of ways Ahmad can choose three bands out of n.
We can calculate this using the combination formula:
n C₃ = (n!)/(3!(n - 3)!)
where n! means n factorial,
or n × (n - 1) × (n - 2) × 3 × 2 × 1.
For example, if there are 5 bands in the list, then the number of different votes possible would be:
5C₃ = (5!)/(3! × 2!) = (5 × 4 × 3)/(3 × 2 × 1) = 10
there are 10 different votes that are possible when there are 5 bands in the list.In general, if there are n bands in the list, then the number of different votes that are possible is:
n C₃ = (n!)/(3!(n - 3)!)I hope that helps!
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[PLS HELP WILL GIVE BRAINLIEST!!]
Determine the value of x.
Answer:
The value of x is 8.1
Step-by-step explanation:
We can use SOH CAH TOA to find our answer.
In this acronym, O is the opposite side, A is the adjacent side, and H is the hypotenuse. S is for the SIN function. C is for the COS function. T is for the TAN function.
We can calculate the length of the string by using the COS function.
So we can say the tangent of angle \(\beta\) is the opposite side divided by the adjacent side.
\(tan( \beta)=\frac{O}{A}\)
We are given the angle and the opposite side. We are looking for the adjacent side.
Lets solve for \(A\).
Take the reciprocal of both sides.
\(\frac{1}{tan(\beta)} =\frac{A}{O}\)
Multiply both sides by \(O\).
\(\frac{1}{tan(\beta)} *O=A\)
We are given
\(\beta=56\textdegree \\O=12\)
\(\frac{1}{tan(56)} *12=A\)
\(A=8.0941022\)
Mai is going for a walk. She walks at a constant speed for 20 minutes. She takes a
break for 5 minutes before turning around and walking back home. She walks faster
than she did before.
a. Sketch a graph that represents Mai’s distance from home (miles) as a function of time (minutes).
b. Label two points on the graph and explain what Mai is doing at the corresponding time.
The graph that represents Mai's distance from home is given below.
The two points on the graph are (20, 1) and (25, 1).
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
Mai walks at a constant speed for 20 minutes.
This means,
The graph is a straight line for 20 minutes.
The red line represents the constant speed.
5 minutes break will represent a horizontal green line on the graph.
The two points on the graph below are:
(20, 1) and (25, 1)
Thus,
The graph is given below.
The two points are (20, 1) and (25, 1).
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Ages of students 17,18,19,20,21,22
Number of students 2x,3x,4x-1,x,x-2,x-3.
The table above shows ages of 42 students in a class.
find the value of x
Answer:
x=4Step-by-step explanation:
total number of students=42
2x+3x+4x-1+x+x-2+x-3=42
12x-6=42
12x=42+6
12x=48
x=48/12
x=4
L
1
=({0}∪{1})
∗
{0}{1}({0}∪{1})
∗
This language is the language of all strings over {0,1} that contain 01 as a substring. Notice that L
1
is expressed using the regular operations (union, concatenation, and Kleene star), and the languages {0},{1},{ϵ}, and ∅. (a) Let L
2
be the language of all strings over {0,1} except for the string 00 . Express L
2
using the regular operations and the languages {0},{1},{ϵ}, and ∅. (b) Let L
3
be the language of all strings over {0,1} that contain the substring 010 and end in 0. Express L
3
using the regular operations and the languages {0},{1},{ϵ}, and ∅. (c) (BONUS) Let L
4
be the language of all strings over {0,1} that are even length and do not contain the substring 00. Express L
4
using the regular operations and the languages {0},{1},{ϵ}, and ∅.
a. The union (∪) operation combines this with the language containing only the empty string {ϵ}, ensuring that empty strings are also included in L2. b. the language that contains "010" with the language that contains "0".L3 = {0, 1}∗0100 c. L4 represents all even-length strings that do not contain "00".
(a) The language L2 can be expressed using the regular operations and the languages {0}, {1}, {ϵ}, and ∅. We need to exclude the string "00" from all strings over {0,1}. This can be achieved by taking the complement of the language that contains only "00" and then concatenating it with the language over {0,1}.
L2 = ({0, 1}∗ − {00}) ∪ {ϵ}
The expression ({0, 1}∗ − {00}) represents the language of all strings over {0,1} except for the string "00". The union (∪) operation combines this with the language containing only the empty string {ϵ}, ensuring that empty strings are also included in L2.
(b) The language L3 can be expressed using the regular operations and the languages {0}, {1}, {ϵ}, and ∅. We want to find strings that contain the substring "010" and end in "0". We can achieve this by concatenating the language that contains "010" with the language that contains "0".
L3 = {0, 1}∗0100
The expression {0, 1}∗ represents any combination of "0" and "1" repeated zero or more times. By appending "0100" at the end, we ensure that the strings contain the substring "010" and end in "0".
(c) The language L4, which consists of all strings over {0,1} that are even in length and do not contain the substring "00", can be expressed using the regular operations and the languages {0}, {1}, {ϵ}, and ∅. We can achieve this by taking the concatenation of two languages: one that represents even-length strings and another that represents strings not containing "00".
L4 = ({00} ∪ {11} ∪ {01} ∪ {10})∗
The expression ({00} ∪ {11} ∪ {01} ∪ {10}) represents all possible combinations of "00", "11", "01", and "10". By taking the Kleene star (∗) of this expression, we allow any even number of repetitions of these combinations, resulting in strings of even length. Thus, L4 represents all even-length strings that do not contain "00".
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The equation of a line is y = –4x + 1. What is the equation of the line that is parallel to the first line and passes through (–2, –1)?
y = -4x - 1
the gradient of the parallel line will be the same as the given line so you just need to change the y intercept
rich has conducted a study in which he compares the reading skills of 6-year-olds, 7-year-old, and 8-year-olds. what kind of statistical test should rich use?
The term "analysis of variance" is referred to as ANOVA. Ronald Fisher created a statistical test in 1918, and it has been in use ever since. Simply said, an ANOVA analyzes the statistical significance of differences between the means of three or more independent groups.
What are the uses of the ANOVA test?You can begin to determine which independent variable has a relationship to your dependent variable (such as landing page clicks) and what is causing that behavior after you are aware of how each independent variable's mean differs from the others.Additionally, you can investigate whether dependent variables, such as the likelihood of planning a cookout, the frequency with which people buy sunscreen, and attendance at outdoor venues, are influenced by a single independent variable, such as temperature. To determine whether there is a statistically significant difference in the means of two or more independent or unrelated groups/variables, one-way analysis of variance, often known as the ANOVA test, is employed.Learn more about the ANOVA test here:
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write 125 feet in 5 seconds as a unit rate
Distance of 125 feet covered in 5 seconds, so the speed is 25 feet/second.
What is speed?Any object's distance traveled in a unit of time is referred to as speed.
In mathematical term, Speed is express as S = D/T,
where S=speed, D=distance, T= time.
Given that,
The distance = 125 feet.
The time taken to cover the distance = 5 seconds.
To find the unit rate.
Apply formula,
speed = distance / time
= 125 / 5
= 25 feet / second
The required speed is 25 feet / second.
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The response earned 6 points: 3 points in part (a), no points in part (b), 2 points in part (c), and 1 point in part (d). In part (a) the student uses the initial condition f (−2) with an appropriate definite integral ( ) 2 6 f x dx − − ′ ∫ to find f (− = 6 3. ) Thus, the student earned the first and second points. The student uses f (−2) again with an appropriate definite integral ( ) 5 2 f x dx − ′ ∫ to find f (5 10 2 . ) = − π The student earned the third point. In part (b) the student presents two intervals, [−6, 2) and (2, 5 .) Because f x ′( ) < 0 on (−2, 2 ,) f is decreasing on [−2, 2 .] The student is not eligible to earn any points because of the presence of an interval containing points where f x ′( ) < 0. Thus, the student did not earn any points. In part (c) the student investigates where f x ′( ) = 0 and identifies f ′(−2) and f ′(2 .) The student earned the first point for considering x = 2. The student identifies the absolute minimum value as 7 2. − π The student justifies by evaluating f x( ) at the critical values and endpoints. The student earned the second point. In part (d) the student identifies f ′′(−5) as the derivative of f x ′( ) at x = −5 and finds ( ) 1 5 . 2 f ′′ − =− The student earned the first point. The student states that f ′′(3) does not exist. The student uses two one-sided limits at x = 3. The student states that " f x( ) is not differentiable at x = 3, " which contradicts the given statement in the problem that f is differentiable on the closed interval [−6, 5 .] The student did not earn the second point.
The student earned a total of 6 points by correctly using definite integrals to find f(-2) and f(2), identifying the critical values and absolute minimum value of f(x) and finding f''(-5).
The student earned a total of 6 points in the problem. They earned 3 points in for using an appropriate definite integral to find f(-2), and another point for using a definite integral to find f(2). They did not earn any points.
In next part, they earned 2 points for identifying where f'(x) = 0, and identifying the absolute minimum value of f(x) at x=2. In part (d), they earned 1 point for finding f''(-5), but did not earn the second point due to a contradiction in their reasoning about the differentiability of f(x) at x=3.
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I just need help graphing!
Answer:
solution is in attachment
hope it helps
identify the surface whose equation is given. rho2(sin2(φ) sin2(θ) + cos2(φ)) = 81
The equation involves both sin²(φ) and cos²(φ), as well as sin²(θ), which indicates that the surface has a more complex shape, possibly involving rotational symmetry.
To identify the surface whose equation is given as ρ²(sin²(φ) sin²(θ) + cos²(φ)) = 81, we can follow these steps:
Rewrite the equation
We have the equation: ρ²(sin²(φ) sin²(θ) + cos²(φ)) = 81
Isolate ρ²
We can rewrite the equation as: ρ² = 81 / (sin²(φ) sin²(θ) + cos²(φ))
Find ρ
Take the square root of both sides to find ρ: ρ = √(81 / (sin²(φ) sin²(θ) + cos²(φ)))
The given equation represents a surface in spherical coordinates (ρ, φ, θ). Since ρ (the radial distance) is expressed in terms of φ and θ, the surface is not a simple sphere or ellipsoid. The equation involves both sin²(φ) and cos²(φ), as well as sin²(θ), which indicates that the surface has a more complex shape, possibly involving rotational symmetry.
However, without further information, it's difficult to provide a specific name for this type of surface.
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Find the slope. Im not good finding slope in a graph and fliping the numbers.
Answer:
\(\frac43\)
Step-by-step explanation:
Hello!
We can calculate slope using the formula \(\frac{Rise}{Run}\).
Rise is the change in y between two pointsRun is the change in x between two pointsThe two points that I'm going to choose is (0,-4) and (3,0).
SlopeChange in y (-4 and 0) is 4Change in x (0 and 3) is 3Therefore, the slope of the line is \(\frac43\).
Answer: 4/3
Step-by-step explanation:
rise over run
640 divided by 2/5 how do I solve this
Answer:
Step-by-step explanation:
1600
Answer:
1,600
Step-by-step explanation:
When dividing with fractions, remember this rule!!!!
KEEP SWITCH FLIP
- Keep the first fraction
- Switch the sign from division to multiplication
- Flip the second fraction so it becomes its reciprocal (the numerator becomes the denominator and the denominator becomes the numerator)
Let's begin!
640 ÷ 2/5
We know that every number divided by 1 is itself, thus every numerator has an invisible 1 as its denominator. Now we can rewrite it as:
640/1 ÷ 2/5
First, keep 640/1. Then change the ÷ into a ×
640/1 × 2/5
Next, flip the 2/5 so the 5 is on top and 2 is on the bottom
640/1 × 5/2
And multiply across!
640 × 5 = 3,200
1 × 2 = 2
3,200/2 = 1,600
Your answer is 1,600!!
Hope this helps clear things up for you. Let me know if you any other questions :D
7) Find the area of a triangle with a base of 20m and a height of 12m? * 1 point 120 m2 O 100 m2 O 240 im2 60 m2
Answer:
option A is correct
Step-by-step explanation:
Base=20m
Height=12h
We know that,
Area=1/2×Height×Base╭☞Area=1/2×20×12
╭☞1/2×240
╭☞240/2
╭☞120m^2
Write the equivalent division statement to 32 × 1 4
Answer:
448/32=14
Step-by-step explanation:
Answer:
Hey!
You can say...448/32=14
Step-by-step explanation:
Hope this helps!
please answer will give brainlist and a thanks <3
Answer:
x=8
Step-by-step explanation:
Hope this helps and have a wonderful day!!!
Simplify 14^15/ 14^5
A 1^3
B 1^10
C 14^3
D 14^10
Whitney bought 25.9 yards of striped fabric and 6.91 yards of floral fabric. How many more yards of striped fabric than floral fabric did Whitney buy?
Answer:
24.99
Step-by-step explanation:
25.9-6.91=24.99
1. find the square roots of (a) 2i; (b) 1−√3i and express them in rectangular coordinates.
a) The square root of complex number, 2i is equals to the ±( 1 + i).
b) The square root of complex number, (1 - √3i) is equals to the ±1/√2(√3 - 1). The rectangular coordinates plane of both present in above figure.
Square root of a number is defined as a value which on multiplication by itself, results the original number. If p is the square root of q then it is denoted as p=√q. We have to determine the square root of complex numbers and express them in rectangular coordinates. For a nonzero complex number z, its square roots are √z =√r exp( i(2πk + θ)/2), k = 0,1
(a) The magnitude of 2i is r =√(2² + 0) = 2, and the principal argument is θ = π/2. So, (2i)½ = r½ exp(i (2πk + π/2)/2) , k = 0, 1
For first root, substuting, k = 0
=> (2i)½ = 2½ exp(i (2π×0 + π/2)/2)
=> (2i)½ = √2 exp(i (π/2)/2)
=> (2i)½ = √2 exp(i π/4) = √2(cos(π/4) + i sin(π/4)
=> (2i)½ = √2( 1/√2 + i(1 /√2)) = 1 + i
For second root substuting, k = 1
=> (2i)½ = 2½ exp(i (2π×1 + π/2)/2)
=> (2i)½ = √2 exp(i (5π/2)/2)
=> (2i)½ = √2 exp(i (5π/4) = √2( cos(5π/4) + i sin(5π/4)
=> (2i)½ = √2(- 1/√2 + i(-1 /√2)) = - (1 + i)
Hence, square root of 2i is ±( 1 + i).
b) 1 -√3i
The magnitude and principal argument of 1 −√3i are respectively, r = √(1² + (√3)²) = 2 and θ = tan⁻¹ ( -√3/1) = - π/3. Similar to part(a), square root of (1 - √3i) is written as (1 - √3i)½ = r½ exp(i (2πk - π/3)/2), k= 0, 1
For first root , k = 0
(1 - √3i)½ = √2 exp(i (2π×0 - π/3)/2)
=> (1 - √3i)½ = √2 exp(i (- π/6) )
=> (1 - √3i)½ = √2( cos(-π/6) - i sin(π/6))
=> (1 - √3i)½ = √2( cos(π/6) - i sin(π/6))
=> (1 - √3i)½ = √2( √3/2 - i (1/2)) = 1/√2(√3 - 1)
For second root, k = 1
(1 - √3i)½ = √2 exp(i (2π×1 - π/3)/2)
=> (1 - √3i)½ = √2 exp(i (5π/3)/2)
=> (1 - √3i)½ = √2 exp(i (5π/6))
=> (1 - √3i)½ = √2 (cos(5π/6) + i sin(5π/6))
=> (1 - √3i)½ = √2 (- √3/2 + i(1/2) ) = - 1/√2(√3 - i)
so, (√1- √3i ) is ± 1/√2(√3 - 1). Hence, we got all required square roots.
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Complete question:
1. Find the square roots of (a) 2i; (b) 1 - √3i and express them in rectangular coordinates.
what is the expected number of sixes appearing on three die rolls
To find the expected number of sixes appearing on three die rolls, we can calculate the probability of rolling a six on each individual roll and then multiply it by the number of rolls.
The probability of rolling a six on a single roll of a fair die is 1/6, since there are six equally likely outcomes (numbers 1 to 6) and only one of them is a six.
Since the rolls are independent events, we can multiply the probabilities together to find the probability of rolling a six on all three rolls:
(1/6) * (1/6) * (1/6) = 1/216
Therefore, the probability of rolling a six on all three rolls is 1/216.
To find the expected number of sixes, we multiply the probability by the number of rolls:
Expected number of sixes = (1/216) * 3 = 1/72
So, the expected number of sixes appearing on three die rolls is 1/72.
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Write the first five digits of 1/7 in base 9 expression
Compare 1/7 to consecutive multiples of 1/9. This is easily done by converting the fractions to a common denominator of LCM(7, 9) = 63:
1/9 = 7/63
2/9 = 14/63
while
1/7 = 9/63
Then 1/7 falls between 1/9 and 2/9, so 1/7 = 1/9 plus some remainder. In particular,
1/7 = 1/9¹ + 2/63.
We do the same sort of comparison with the remainder 2/63 and multiples of 1/9² = 1/81. We have LCM(63, 9²) = 567, and
1/9² = 7/567
2/9² = 14/567
3/9² = 21/567
while
2/63 = 18/567
Then
2/63 = 2/9² + 4/567
so
1/7 = 1/9¹ + 2/9² + 4/567
Compare 4/567 with multiples of 1/9³ = 1/729. LCM(567, 9³) = 5103, and
1/9³ = 7/5103
2/9³ = 14/5103
3/9³ = 21/5103
4/9³ = 28/5103
5/9³ = 35/5103
6/9³ = 42/5103
while
4/567 = 36/5103
so that
4/567 = 5/9³ + 1/5103
and so
1/7 = 1/9¹ + 2/9² + 5/9³ + 1/5103
Next, LCM(5103, 9⁴) = 45927, and
1/9⁴ = 7/45927
2/9⁴ = 14/45927
while
1/5103 = 9/45927
Then
1/5103 = 1/9⁴ + 2/45927
so
1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/45927
One last time: LCM(45927, 9⁵) = 413343, and
1/9⁵ = 7/413343
2/9⁵ = 14/413343
3/9⁵ = 21/413343
while
2/45927 = 18/413343
Then
2/45927 = 2/9⁵ + remainder
so
1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/9⁵ + remainder
Then the base 9 expansion of 1/7 is
0.12512..._9
Fill in the missing number. % of 98 = 49
50%
since 98/2 = 49
Thats it
What number is halfway between -0.5 and 2.3
Answer:
0.9
Step-by-step explanation:
In order to get halfway between -0.5 and 2.3, first, we need to take their sum:
Sum of digits
Sum = \({-0.5+2.3}\)
Sum = \(1.8\)
Take the average of the sum
Average = \(\frac{1.8}{2} = 0.9\)
Hence the halfway between the numbers is 0.9
If n> 1, which of the following numbers will always be greater than 1?
Answer: If n>1, then any positive number raised to the power of n will always be greater than 1. Therefore, any number greater than 1 raised to the power of n, such as 2^n, 3^n, etc., will also always be greater than 1.
Step-by-step explanation: