Answer:
6 sticks for the pattern of number 6
3 sticks for the pattern of number n
Step-by-step explanation:
Please check the attached picture.
This is a standard way to create number 6 and number n from sticks.
Hope this helps!
Answer:
see explanation
Step-by-step explanation:
(a)
Record the number of sticks and look for a pattern
1 → 6 sticks
2 → 10 sticks
3 → 14 sticks
There is a difference of + 4 between each pattern, thus add 4 to the previous pattern , that is
4 → 14 + 4 = 18
5 → 18 + 4 = 22
6 → 22 + 4 = 26
That is there are 26 sticks in pattern number 6
---------------------------------------------------------------------------
(b)
Multiplying the pattern number (n) by the difference 4 gives
4 × 1 = 4 ← require to + 2 for 6
4 × 2 = 8 ← require to + 2 for 10
4 × 3 = 12 ← require to + 2 for 14
Thus pattern number n would have
sticks = 4n + 2
Juma spent half of his july salary on school fees and two thirds of the remainder on food Calculate his July salary if he spent sh.3200 on food
The required salary of Juma in July month is sh.9600.
Given that,
he spent half of his July salary on school fees and two-thirds of the remainder on food.
he spent sh.3200 on food.
In mathematics, it deals with numbers of operations according to the statements.
In the question,
Let the slay of Juma in July be x,
Juma spent half of his July salary on school fees = x/2
two-thirds of the remainder on food = 2/3 * x/2 = x/3
he spent sh.3200 on food i.e.
x / 3 = 3200
x = 3200 * 3
x = 9600
Thus, the required salary of Juma in July month is sh.9600.
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It’s asking : the table shows the relationship between the cost of an item and the length of time in months it lasts . What graph represents the data in the table?
1. F
2. H
3. I
4. G
Answer:
F
Step-by-step explanation:
I think
Answer:
F
Step-by-step explanation:
find the particular solution y=f(x) to the differential equation
To find the particular solution, we need additional information such as the initial condition \(y(x_0) = y_0\), where \(x_0\) and \(y_0\) are known values.
To find the particular solution to a differential equation, we need to know the specific form of the differential equation. Without this information, it is not possible to determine the particular solution.
A differential equation is an equation that relates a function and its derivatives. The form of the differential equation determines the method used to solve it and find the particular solution.
For example, a simple linear first-order ordinary differential equation has the form:
\(\frac{dy}{dx} = f(x)\).
To find the particular solution, we need additional information such as the initial condition \(y(x_0) = y_0\), where \(x_0\) and \(y_0\) are known values.
The method of solution depends on the specific type of differential equation, which can include linear equations, separable equations, exact equations, etc. Each type of equation requires different techniques to find the particular solution.If you provide the specific form of the equation you want to solve or any additional information or context, I can guide you through the process of finding the particular solution. Otherwise, without the differential equation, it is not possible to determine the particular solution.
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Is this a function or Not function? How do you know?
Answer:
No
Step-by-step explanation: because multiple points have the same x value and it fail the vertical line test
After awarding its money this year, the program received a gift of $1,275. The program leader decided to award this money to an additional 15 students. How much money did each of these students receive?
Answer:
pls like and make me brainliest :)
Step-by-step explanation:
1275 divided by 15=$85 each
Help Please! Will Mark As Brainliest!
Answer:
y= 1, 3, 5, 7, 9
Step-by-step explanation:
y=2x+1
For x=0, y=2×0+1=1
For x=1, y=2×1+1=3
For x=2, y=2×2+1=5
For x=3, y=2×3+1=7
For x=4, y=2×4+1=9
To graph the equation, you must find each point on the coordinate plane, and connect them.
Step-by-step explanation:
When x=0,
y= 2(0)+1
= 1
When x=1,
y= 2(1)+1
= 3
When x=2,
y= 2(2)+1
= 5
When x=3,
y= 2(3)+1
= 7
When x=4,
y= 2(4)+1
=9
then just draw the x and y-axis and plot the growth accordingly. after that, draw a straight line across all points and label the graph afterwards
An architect drew the sketch below while designing a house roof. The dimensions shown are for the interior of the triangle.
What is the value of 3cosx?
The value of 3cosx can be determined by analyzing the sketch of the house roof.
The given dimensions represent the interior of a triangle. Now, let's delve into the explanation to understand how we can find the value of 3cosx.
In a triangle, the cosine of an angle is defined as the ratio of the length of the adjacent side to the hypotenuse. In the given sketch, we can observe that the length of the adjacent side is 3 (as indicated by the dimension 3) and it forms the base of the triangle. The hypotenuse of the triangle corresponds to the longest side of the triangle.
By using the Pythagorean theorem, we can determine the length of the hypotenuse. The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse can be calculated as the square root of (3^2 + 5^2), which simplifies to the square root of (9 + 25), resulting in the square root of 34.
Now, to find the value of 3cosx, we divide the length of the adjacent side (3) by the length of the hypotenuse (√34). Therefore, 3cosx = 3/√34, which is the desired value.
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the _____ of a trapezoid is a segment whose endpoints are the midpoints of its legs.
Answer:
The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.
Step-by-step explanation:
Quinn is reading about safety equipment. In which situation will he find this knowledge most useful?
when operating power tools
while taking the dog for a walk
when walking to a friend’s house
while doing his homework on a computer
Answer:
a
Step-by-step explanation:
find the measure of the angle indicated
Answer: 35
Triangle sum theory tells us the internal angles of any triangle add up to 180. This means we can take each given angle from 180 to find the remaining angle.
A stick is 5 m long. A rope is 12 times as long as the stick. If the rope is divided into 3 pieces, how many meters long is each piece of rope?
I will give brainliest if you are right.
Answer:
20 meters
Step-by-step explanation:
Stick is 5m long
The rope is 12 times as long as the stick
5*12 is 60
60/3 is 20
20 meters. Hope this helps
Merry Christmas!
Consider the following events: a: the employee is male. b: the employee is female. c: the employee takes public transportation. d: the employee takes his/her own transportation. e: the employee takes some other method of transportation. which two events are independent? a and c a and d b and d b and e
The two independent events from the given options are;
"the employee is male" and "the employee takes public transportation".What is independent event?An independent event is an event that changes as a change occurs in a variable.
The employee can either be a male or a female depending on the criterias of employment of the employer.The employee can decide to take a private transport if he can afford it and also depending on how he desires to live his life.Learn more about independent event:
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Answer:
A: A and C
I just got it wrong since the top answer didnt say the answer
Step-by-step explanation:
a magnetic b field of strength 0.9 t is perpendicular to a loop with an area of 2 m2. if the area of the loop is reduced to zero in 0.7 s, then what is the magnitude of the induced emf voltage? v
The magnitude of the induced emf voltage is 2.57 volts.
How to find the magnitude of the induced emf voltage?The induced emf voltage can be calculated using Faraday's law of electromagnetic induction, which states that the emf induced in a loop is equal to the negative rate of change of magnetic flux through the loop:
emf = -d(Φ)/dt
where Φ is the magnetic flux through the loop.
The magnetic flux through the loop is given by:
Φ = BAcosθ
where B is the magnetic field strength, A is the area of the loop, and θ is the angle between the magnetic field and the normal to the loop (which is 90 degrees in this case).
So, Φ = BAcos90 = B*A
Since the area of the loop is reduced to zero in 0.7 s, the rate of change of the magnetic flux is:
d(Φ)/dt = \((\phi _{final} - \phi_{initial})/t\) = (-B*A)/t
Therefore, the induced emf voltage is:
emf = -d(Φ)/dt = (BA)/t = \((0.9 T)(2 m^2)/(0.7 s)\) = 2.57 V
So, the magnitude of the induced emf voltage is 2.57 volts.
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Find the centroid of the region bounded by the given curves. y = 8 sin(2x), y = 8 cos(2x), x = 0, x = 8
The coordinates of the centroid are the average values of the \(x\)- and \(y\)-coordinates of the points \((x,y)\) that belong to the region. Let \(R\) denote the bounded region. These averages are given by the integral expressions
\(\dfrac{\displaystyle \iint_R x \, dA}{\displaystyle \iint_R dA} \text{ and } \dfrac{\displaystyle \iint_R y \, dA}{\displaystyle \iint_R dA}\)
The denominator is just the area of \(R\), given by
\(\displaystyle \iint_R dA = \int_0^8 \int_{\min(8\sin(2x), 8\cos(2x))}^{\max(8\sin(2x),8\cos(2x))} dy \, dx \\\\ ~~~~~~~~ = \int_0^8 |8\sin(2x) - 8\cos(2x)| \, dx \\\\ ~~~~~~~~ = 8\sqrt2 \int_0^8 \left|\sin\left(2x-\frac\pi4\right)\right| \, dx\)
where we rewrite the integrand using the identities
\(\sin(\alpha + \beta) = \cos(\alpha)\cos(\beta) + \sin(\alpha)\sin(\beta)\)
Now, if
\(8(\cos(2x) - \sin(2x)) = R \sin(2x + \alpha) = R \sin(2x) \cos(\alpha) + R \cos(2x) \sin(\alpha)\)
with \(R>0\), then
\(\begin{cases} R\cos(\alpha) = 8 \\ R\sin(\alpha) = -8 \end{cases} \implies \begin{cases}R^2 = 128 \\ \tan(\alpha) = -1\end{cases} \implies R=8\sqrt2\text{ and } \alpha = -\dfrac\pi4\)
Find where this simpler sine curve crosses the \(x\)-axis.
\(\sin\left(2x - \dfrac\pi4\right) = 0\)
\(2x - \dfrac\pi4 = n\pi\)
\(2x = \dfrac\pi4 + n\pi\)
\(x = \dfrac\pi8 + \dfrac{n\pi}2\)
In the interval [0, 8], this happens a total of 5 times at
\(x \in \left\{\dfrac\pi8, \dfrac{5\pi}8, \dfrac{9\pi}8, \dfrac{13\pi}8, \dfrac{17\pi}8\right\}\)
See the attached plots, which demonstrates the area between the two curves is the same as the area between the simpler sine wave and the \(x\)-axis.
By symmetry, the areas of the middle four regions (the completely filled "lobes") are the same, so the area integral reduces to
\(\displaystyle \iint_R dA \\\\ ~~~~ = 8\sqrt2 \left(-\int_0^{\pi/8} \sin\left(2x-\frac\pi4\right) \, dx + 4 \int_{\pi/8}^{5\pi/8} \sin\left(2x-\frac\pi4\right) \, dx \right. \\\\ ~~~~~~~~~~~~~~~~~~~~ \left. - \int_{17\pi/8}^8 \sin\left(2x-\frac\pi4\right) \, dx\right)\)
The signs of each integral are decided by whether \(\sin\left(2x-\frac\pi4\right)\) lies above or below axis over each interval. These integrals are totally doable, but rather tedious. You should end up with
\(\displaystyle \iint_R dA = 40\sqrt2 - 4 (1 + \cos(16) + \sin(16)) \\\\ ~~~~~~~~ \approx 57.5508\)
Similarly, we compute the slightly more complicated \(x\)-integral to be
\(\displaystyle \iint_R x dA = \int_0^8 \int_{\min(8\sin(2x), 8\cos(2x))}^{\max(8\sin(2x),8\cos(2x))} x \, dy \, dx \\\\ ~~~~~~~~ = 8\sqrt2 \int_0^8 x \left|\sin\left(2x-\frac\pi4\right)\right| \, dx \\\\ ~~~~~~~~ \approx 239.127\)
and the even more complicated \(y\)-integral to be
\(\displaystyle \iint_R y dA = \int_0^8 \int_{\min(8\sin(2x), 8\cos(2x))}^{\max(8\sin(2x),8\cos(2x))} y \, dy \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^8 \left(\max(8\sin(2x),8\cos(2x))^2 - \min(8\sin(2x),8\cos(2x))^2\right) \, dx \\\\ ~~~~~~~~ \approx 11.5886\)
Then the centroid of \(R\) is
\((x,y) = \left(\dfrac{239.127}{57.5508}, \dfrac{11.5886}{57.5508}\right) \approx \boxed{(4.15518, 0.200064)}\)
Are the following linear equations? If they are, put them in the form Lu linear operator L, and classify them as homogeneous or inhomogeneous:
(A) Ut = (xux)2 + (yuy)y + xy (B) uux + Uxxx = Ut (C) Utt = Uxxxx + Uyyyy
A homogeneous equation.
Yes, the following are linear equations:
(A) Ut = (xux)2 + (yuy)y + xy
This equation can be put in the form Lu linear operator L as follows: LAUt = 0, which is a homogeneous equation.
(B) uux + Uxxx = Ut
This equation can be put in the form Lu linear operator L as follows: LBu = Ut, which is an inhomogeneous equation.
(C) Utt = Uxxxx + Uyyyy
This equation can be put in the form Lu linear operator L as follows: LCT = 0, which is a homogeneous equation.
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Refer to image below
Answer:
A ≈ 40°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify
Angle θ = A
Opposite Leg = 27
Hypotenuse = 42
Step 2: Solve for A
Substitute [sine]: sinA = 27/42Simplify: sinA = 9/14Trig inverse: A = sin⁻¹(9/14)Evaluate: A = 40.0052°Round: A ≈ 40°when studying the relationship between test performance and length of sleep (the night before), which type of measurement is being examined?
When studying the relationship between test performance and length of sleep (the night before), measure of association type of measurement is being examined.
What is measure of association?
Measure of association in statistics any of various factors or coefficient used to quantity a relationship between two or more variables.
Measure of association are used in various fields of research but are specially common in the areas of Epidermiology and Psycology, where they frequently are used to quantity relationships between exposures and behaviours.
Here length of sleeping and test performance is behavioural based relationship. It can best studied through measure of association.
Hence, when studying the relationship between test performance and length of sleep (the night before), measure of association type of measurement is being examined.
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need an answer please asap!
Answer:
Step-by-step explanation:
(A). The quadrilateral ABCD is a trapezoid.
(B). A = 36 units²
Daniel ran 5 kilometers in 40 minutes. Andy ran 4,550 meters in 37 minutes. Who ran faster?
Answer:Daniel is faster
Step-by-step explanation:
Daniel : 5 kilometers is 5000 meters.
5000 / 40 is 125 meters per minutes
Andy: 4550 divided by 37 is 122.97 which is 2.3 meters per minute slower than Daniel
Plssss answer ASAP!!!!!!
Answer:
You do 2 times 5x, the simplify.
Answer: none of these
Step-by-step explanation:
solve C only
df (z) in the following complex function 13. find dz . z= a. f(2)=(1+z2),(2+0) z? df (0) b. f(z) = z Im(z) and show = 0 dz c. f(z) = x2 + jy? 2
The above obtained relation can be used to find df(0) / dz as we now have df/dr (dr/dz) evaluated at z=0. Thus,df(0) / dz = 2 * 0 / (-dx - 2jdx) = 0. Hence, the required solution is df(0) / dz = 0.
Given complex function is f(z) = x2 + jy2. We are supposed to find df(0) / dz.Solution:To find df(0) / dz, we need to first find f(z) as a function of z. Since, f(z) = x2 + jy2, we have, f(z) = |z|2. Now, we have, |z|2 = (x+iy) (x-iy) = x2 + y2 = r2. Differentiating this with respect to z, we get,df / dz (|z|2) = df / dz (r2) = 2r dr/dz. Now, we need to find dz. This can be found using the following relation, dz = dx + jdy.
Thus, we have,dz = dx + jdy = 1/2 (dz + d\bar{z}) + j 1/2 (dz - d\bar{z}) = (dx - dy)/2 + j (dx + dy)/2.
Therefore,
df/dz = df/dr (dr/dz)
= 2r / (dx - dy - 2jdx). T
he above obtained relation can be used to find df(0) / dz as we now have df/dr (dr/dz) evaluated at z=0.
Thus, df(0) / dz = 2 * 0 / (-dx - 2jdx) = 0. Hence, the required solution is df(0) / dz = 0.
To find df(0) / dz, we need to first find f(z) as a function of z.
Since, f(z) = x2 + jy2,
we have, f(z) = |z|2.
Now, we have, |z|2 = (x+iy) (x-iy) = x2 + y2 = r2.
Differentiating this with respect to z, we get,
df / dz (|z|2) = df / dz (r2) = 2r dr/dz.
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which integers represent each situation? a) a debt of $10b) 6 degrees below 0 c) deposit of $25 someone please help fast
An integer that represent the debt of $10 can be express below
\(-\text{ \$10}\)An integer that represent 6 degree below 0 is expressed below
\(0-6=\text{ -6 degre}e\)An integer that represent a deposit of $25 can be express below
\(+\text{ \$25= \$25}\)Marian Plunket owns her own business and is considering an investment. if she undertakes the investment, it will pay $28,000 at the end of each of the new 3 years. the opportunity requires an initial investment of $7,000 plus an additional investment at the end of the second year of $35,000. what is the NPV of this opportunity if the interest rate is 8% per year? Should Marian take it?
The NPV is positive, it is worth taking the Investment.
Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.
This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:
NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.
The given problem can be solved by using the following steps:
Calculate the present value (PV) of the expected cash inflows:
Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82
Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39
Since the NPV is positive, it is worth taking the investment.
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Another one help please
there must be subtraction of multiplication of each two diagonal,
|G|=[12×2-(-6)×0]
=(24+0)
=24ans
Answer:
Option B). 24
Explanation:
Refer to the attachment for your solution.
even though emilio writes neatly and legibly, it takes him a very long time to write a few sentences. which strategy may help emilio to write more fluently?
One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.
Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.
Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.
By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.
With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.
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Evaluate the expression 5c-2 for c=5.
help
Answer:
= 23
Step-by-step explanation:
(5) (5) - 2 ( multiply )
= 5 * 5 = 25
( subtract ) 25 - 2 = 23
WORTH 50 POINTS!!!!!!!!!!!!!!!
1. What is the degree of the monomial 3x^2y^3?
A. 2
B. 3
C. 5
D. 6
2. What is the simplified form of 8b^3c^2 + 4b^3c^2 ?
A. 12bc
B. 12b^3c^2
C. 12b^6c^4
D. 12b^9c^4
3. What is the simplified form of (4j^2 + 6) + (2j^2 + 3) ?
A. 6J^2 --- 3
B. 6J^2 + 3
C. 6J^2 + 9
D. 4J^4 + 3
4. what is the difference of the following polynomials?
(6x^3 - 2x^2 + 4)
- (2x^3 + 4x^2 - 5)
------------------------------------
A. 4x^3 - 2x^2 - 1
B. 8x^3 + 6x^2 - 1
C. 4x^3 - 2x^2 + 1
D. 4x^3 - 6x^2 + 9
( OKAY THIS ONE EVEN HARDER ;-; )
5. f (x) = 3x^3 - 4x^2 + 6x and g (x) = 5x^3 + 2x^2 - 3x. What is f (x) - g (x) ?
A. -2x^3 - 6x^2 + 9x
B. -2x^3 - 6x^2 - 3x
C. 2x^3 + 6x^2 + 3x
D. 8x^3 - 6x^2 - 9x
------------------------------------------------------------------------------------------------------------------
i need my grades to improve a bit so please help ;(
(if you wanna do some work while listening to sugarcrash for an hour then i will send you da link!)
Answer:
2. 6j^2 + 3
Step-by-step explanation:
Answer:
A=5283
Step-by-step explanation:
1. The vertical asymptote is x=3. 2. The vertical asymptote is x=-4. 3. The x-intercepts is (4,0). 4. The y-intercepts is (0,-3).
the vertical asymptote is x = -4 (option 2)
Explanation:\(f(x)\text{ =}\frac{x-3}{x+4}\)The vertcal asymptote of a function, is the value of x when the denominator is equated to zero:
\(\begin{gathered} \text{Denominator = x + 4} \\ \text{equating to zero:} \\ x\text{ + 4 = 0} \\ \text{subtract 4 from both sides:} \\ x\text{ +4 -4 = 0 - 4} \\ x\text{ = -4} \end{gathered}\)The x - intercept is the value of x when f(x) = 0
\(\begin{gathered} f(x)\text{ =}\frac{x-3}{x+4} \\ 0\text{ = =}\frac{x-3}{x+4} \\ 0(x\text{ + 4) = x - 3} \\ 0\text{ = x - 3} \\ x\text{ = 3} \\ x-\text{intercept: }(3,\text{ 0)} \end{gathered}\)The y-intercept is the value of f(x) when x = 0
\(\begin{gathered} f(x)\text{ = }\frac{x-3}{x+4} \\ f(x)\text{ =}\frac{0-3}{0+4} \\ f(x)\text{ = }=\text{ }\frac{-3}{4} \\ y-\text{intercept = (0, -3/4)} \end{gathered}\)Comparing the results we got and the options, the only option that has same answer as our calculation is the vertical asymptote is x = -4 (option 2)
Look at the factors of 50 and 75.
Factors of 50: 1, 2, 5, 10, 25, 50
Factors of 75: 1, 3, 5, 15, 25, 75
The GCF of 50 and 75 is
Answer: Therefore, the GCF of 50 and 75 is 5.
Step-by-step explanation:
To find the greatest common factor (GCF) of 50 and 75, we can compare their factors.
Factors of 50: 1, 2, 5, 10, 25, 50
Factors of 75: 1, 3, 5, 15, 25, 75
By comparing the common factors between 50 and 75, we can see that the GCF is 5, as it is the largest number that divides both 50 and 75 without leaving a remainder.
Answer: 25
Step-by-step explanation:
explanation:
What is 24/240 as a decimal
Answer:
0.1
Step-by-step explanation:
Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator