Answer:
7
Step-by-step explanation:
18 - 4 = 14
14/2 = 7
Step-by-step explanation:
answer is 7
18-4=14
14/7
There are 6 areas of land for sale. Land 1 has 306 acres and Land 2 has 123 acres. Cattle used to stay on Land 3 and pigs on Land 4. A rancher is looking to buy some land for his horses and cattle. Land 3 has 451 acres and is right next to Land 1. Land 1 and 4 are worth $1,000 an acre. Land 3 and 6 are $1,250 an acre. Taxes are already included in the price per acre. The rancher owns 11 horses and 28 cattle and wants at least 500 acres. If the rancher buys Land 1 and 3, how much does he need to pay? Do not include $ in your answer. For example, if your answer is $19, enter 19.
Answer:
869,750
Step-by-step explanation:
ignore all the stuff about cattle and pigs all there asking is him buying 1 and 3 so 1 is 306 acres so u would multiply by 1000$ an acre and 3 is 451 acres so multiply times 1,250$ that gives u 869,750
Solve -11h − 27 ≤ 16h for h.
The Answer:
\(h \geqslant - \frac{27}{17} \)
Answer:
h ≥ -1
Step-by-step explanation:
i took a quiz and got it right
hope this helps :)
100 Points Math Question
1). The main show tank has a radius of 70 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of the pool is flat. (Imagine cutting a sphere in half vertically and then cutting it in half horizontally.) What is the volume of the quarter-sphere shaped tank? Round your answer to the nearest whole number.
2). The holding tanks are congruent. Each is in the shape of a cylinder that has been cut in half vertically. The bottom of each tank is a curved surface and the top of the pool is a flat surface. What is the volume of both tanks if the radius of tank #1 is 35 feet and the height of tank #2 is 120 feet?
3). The company is building a scale model of the theater’s main show tank for an investor's presentation. Each dimension will be made one-sixth of the original dimension to accommodate the mock-up in the presentation room. What is the volume of the smaller mock-up tank?
4). Using the information from #3, answer the following question by filling in the blank: The volume of the original main show tank is ____% of the mock-up of the tank.
Please show equations and explain in words
Answer:1.4
Step-by-step explanati
at a price of $8 in this diagram, profit per unit is approximately , and total profit is approximately . $2.50; $36 $8.00; $114 $5.00; $60 $5.50; $78
The profit per bag is approximately $2.50 and the total profit is approximately is $36 , the correct option is (c) .
In the question ,
a graph of relation of price and quantity is given .
Under the perfect competition , the profit maximization condition is where price is equal to the marginal cost
that means P = MC .
price is given as = $8 ,
Form the graph ATC = $5.5
per unit profit can be calculated using the formula ,
Per unit profit = Price - ATC
per unit profit = 8 - 5.5
= $2.5
From the graph , the quantity is Q = 14.4 (approximately)
Total profit is calculated using the formula
Total Profit = (profit per unit) × (quantity)
Total Profit = 2.5 × 14.4
= $36
Therefore , The profit per bag is approximately $2.50 and the total profit is approximately is $36 .
The given question is incomplete , the complete question is
This figure is the market for bags of coffee roaster . At a price of $8 per bag . Profit per bag is approximately is and the total profit is .
(a) $5.50 , $78
(b) $5.00 , $60
(c) $2.50 , $36
(d) $8.00 , $114
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Which is greater? -4.84 or -8.48
Answer:
-4.84
Step-by-step explanation:
the -4.84 is closest to the positive side of a number line. meaning -4.84 is greater
Answer:
-4.84
Step-by-step explanation:
Becuase the smaller the minus number the greater Becuase its the reverse of positive numbers
A bike that weighs 22 pounds and 3 ounces weighs a total of ____ounces.
Answer:
355 ounces
Step-by-step explanation:
Okay! We're going to have to use some conversion factors for this problem, since we're working with two different units (pounds and ounces). We know that there are 16 ounces in a pound - that's our first conversion factor. We can use it to write up a little equation to help us:
\(\frac{22lbs}{1} *\frac{16oz}{1lb} + 3 = x\)
"x" is the total amount of ounces. Does everything in that equation make sense? The first multiplication part tells us how many ounces are in 22 pounds, and the second part (+ 3) adds the 3 ounces that were there from the beginning. Now, it's time to calculate.
\(\frac{22bs}{1} *\frac{16oz}{1lb} + 3 = x\\\)
\(\frac{352oz}{1} + 3 = x\)
\(352+3 = x\)
\(x=355\)
So, there are 355 ounces in a bike that weighs 22 pounds and 3 ounces. Hopefully that's helpful! :)
Five thousand tickets are sold at $1 each for a charity raffle. Tickets are to be drawn at random and monetary prizes awarded as follows: 1 prize of $600,3 prizes of $300,5 prizes of $40, and 20 prizes of $5. What is the expected value of this raffle if you buy 1 ticket? Let X be the random variable for the amount won on a single raffle ticket E(X)= dollars (Round to the nearest cent as needed)
The expected value of buying one ticket in this charity raffle is $0.42. This means that, on average, a person can expect to win approximately $0.42 if they purchase a single ticket.
To calculate the expected value, we need to consider the probability of winning each prize multiplied by the value of the prize. Let's break it down:
- There is a 1/5000 chance of winning the $600 prize, so the expected value contribution from this prize is (1/5000) * $600 = $0.12.
- There are 3/5000 chances of winning the $300 prize, so the expected value contribution from these prizes is (3/5000) * $300 = $0.18.
- There are 5/5000 chances of winning the $40 prize, so the expected value contribution from these prizes is (5/5000) * $40 = $0.04.
- Finally, there are 20/5000 chances of winning the $5 prize, so the expected value contribution from these prizes is (20/5000) * $5 = $0.08.
Summing up all the expected value contributions, we get $0.12 + $0.18 + $0.04 + $0.08 = $0.42.
Therefore, if you buy one ticket in this raffle, the expected value of your winnings is $0.42.
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A restaurant plans to use a new food delivery service. the food delivery service charges $5.92 for every 2 meals delivered, plus a $2.50 service fee. what is the slope of this situation?
Answer:
Step-by-step explanation:
The slope for the given situation will be $2.96. 5.92/2 = $2.96 per meal
Find the Surface area of the trapezoid
please help
show work
Answer:
259.5
Step-by-step explanation:
8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5
what is the volume of the cone?
Answer:
The volume of the cone is 75.36 cm³
Step-by-step explanation:
The rule of the volume of a cone is V = \(\frac{1}{3}\) π r² h, where
r is the length of the radius of its baseh is the height of the coneIn the given figure
∵ The length of the radius of the cone is 3 cm
∴ r = 3 cm
∵ The length of the height of the cone is 8 cm
∴ h = 8 cm
→ Substitute the values of r and h in the rule of the volume above
∵ π ≅ 3.14
∵ V = \(\frac{1}{3}\) (3.14)(3)²(8)
∴ V = 75.36 cm³
∴ The volume of the cone is 75.36 cm³
determine whether the geometric series is convergent or divergent. (4 − 7 49 4 − 343 16 )
The common ratio 'r' is not constant, meaning that the series is not geometric.
Define the term geometric series?Each term in a geometric series is created by multiplying the previous term by a fixed constant known as the common ratio.
To determine if the geometric series (4, -7, 49, -343, 16) is convergent or divergent, we need to find the common ratio 'r' of the series.
r = (next term) / (current term)
r = (-7) / 4 = -1.75
r = 49 / (-7) = -7
r = (-343) / 49 = -7
r = 16 / (-343) = -0.0466...
We can see that the common ratio 'r' is not constant, meaning that the series is not geometric, and therefore we cannot determine if it is convergent or divergent.
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A typical person begins to lose consciousness if subjected to accelerations greater than about 5 g(49.0 m/s^2) for more than a few seconds. Suppose a 3.00×10^4−kg manned spaceship's engine has an exhaust speed of 2.50×10^3 m/s. What maximum burn rate ∣ΔM/Δt∣ could the engine reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness?
The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.
Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.
Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.
Let the mass of the spaceship be m and the exhaust speed of the engine be v.
Using the formula for the thrust of a rocket,
T = (mv)e
After substituting the given values into the formula for thrust, we get:
T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N
Therefore, the acceleration produced by the engine, a is given by the formula below:
F = ma
Therefore,
a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²
The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,
x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s
Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.
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a circle is tangent to the $y$-axis at the point $(0,2)$ and passes through the point $(8,0),$ as shown. find the radius of the circle.
The circle has a radius of 4 units.
Let the circle's radius be $r$ and its centre be $(a,b)$.
The circle's centre must be on the line $x=a$ that passes through $(0,2)$ perpendicular to the $y$-axis since the circle is tangent to the $y$-axis at $(0,2)$.
We may formulate an equation involving the distance between $(8,0)$ and $(a,b)$, which is equal to the radius $r$, because the circle passes through $(8,0)$. The distance formula gives us:
$\sqrt{(a-8)^2+b^2}=r$
We know that $a$ is the distance between the centre and the $y$-axis, which is equal to the radius $r$, because the centre is on the line $x=a$.
As a result, we have:
$a=r$
This can be used to solve the previous equation for:
$\sqrt{(r-8)^2+b^2}=r$
Squaring both sides of the equation, we get:
$(r-8)^2+b^2=r^2$
Simplifying, we get:
$r^2-16r+64+b^2=r^2$
$b^2=16r-64$
Since $(0,2)$ lies on the circle, we have:
$(0-a)^2+(2-b)^2=r^2$
Substituting $a=r$ and simplifying, we get:
$r^2-4r+4+b^2=r^2$
$b^2=4r-4$
Now we have two equations involving $r$ and $b^2$, which we can solve simultaneously. Substituting $b^2=16r-64$ from the first equation into the second equation, we get:
$16r-64=4r-4$
Solving for $r$, we get:
$r=4$
Therefore, we know radius of this circle will be 4 units.
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What is the mean of the data set?
A. 42
B. 45
C. 20
D. 40
The mean of the data-set in this problem is given as follows:
41.6 inches.
How to calculate the mean of a data-set?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.
Considering the stem-and-leaf plot, the observations are given as follows:
20, 32, 34, 36, 40, 42, 44, 48, 55, 65.
The sum of the observations is given as follows:
20 + 32 + 34 + 36 + 40 + 42 + 44 + 48 + 55 + 65 = 416 inches.
There are 10 observations, hence the mean is given as follows:
416/10 = 41.6 inches.
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Find the Taylor series and associated radius of convergence for
(x) = cos x at = /6
Given function is cos x at = π/6We have to find the Taylor series and associated radius of convergence for cos x at π/6.We know that, the Taylor series of cos x is given by:
\(cos x = Σ ((-1)^(n)/n!)x^(2n) n=0 to ∞\)
Consider the function cos x for x = π/6, then
cos(π/6)
\(= √3/2cos(π/6) = 1/2(Σ ((-1)^(n)/n!)π^(2n))/6^(2n) n=0 to ∞cos(π/6) = Σ ((-1)^(n)/2^(2n)n!)π^(2n)/3^(2n) n=0 to ∞\)
The above expression is in the required form of Taylor series. Now we will find the radius of convergence of the Taylor series.
The general term of the given series is given by:
\(an = ((-1)^(n)/2^(2n)n!)π^(2n)/3^(2n)\)
Let L
\(= lim n→∞ |an+1/an|L = lim n→∞ |((-1)^(n+1)/2^(2n+2)(n+1)!)(3^(2n)(π)^(2n+2))/π^(2n)(2^(2n)(n!)^(2))|L = lim n→∞ |(3π^2)/(4(n+1)^2)|L = π^2/4R = 4/π^2\)
Therefore, the Taylor series of cos x at π/6 is given by:
\(cos x = Σ ((-1)^(n)/2^(2n)n!)π^(2n)/3^(2n) n=0 to ∞\)
And the associated radius of convergence is R = 4/π^2.
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1. Let the distribution of X be the normal distribution N (μ, σ2) and let Y = aX + b. Prove that Y is distributed as N (aμ + b, a2σ2).
2. Let X and Y be two independent random variables with E|X| < [infinity], E|Y| < [infinity] and E|XY| < [infinity]. Prove that E[XY] = E[X]E[Y].
1 Y is distributed as N(aμ + b, a^2σ^2), as desired.
2 We have shown that under these conditions, E[XY] = E[X]E[Y].
To prove that Y is distributed as N(aμ + b, a^2σ^2), we need to show that the mean and variance of Y match those of a normal distribution with parameters aμ + b and a^2σ^2, respectively.
First, let's find the mean of Y:
E(Y) = E(aX + b) = aE(X) + b = aμ + b
Next, let's find the variance of Y:
Var(Y) = Var(aX + b) = a^2Var(X) = a^2σ^2
Therefore, Y is distributed as N(aμ + b, a^2σ^2), as desired.
We can use the definition of covariance to prove that E[XY] = E[X]E[Y]. By the properties of expected value, we know that:
E[XY] = ∫∫ xy f(x,y) dxdy
where f(x,y) is the joint probability density function of X and Y.
Then, we can use the fact that X and Y are independent to simplify the expression:
E[XY] = ∫∫ xy f(x) f(y) dxdy
= ∫ x f(x) dx ∫ y f(y) dy
= E[X]E[Y]
where f(x) and f(y) are the marginal probability density functions of X and Y, respectively.
Therefore, we have shown that under these conditions, E[XY] = E[X]E[Y].
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let say that x, y, z are regular unix user processes and x’s parent is y and y’s parent is z. when process y dies, what would happen?
The exact behavior and consequences depend on the Operations system's process management mechanisms and the actions taken by process z or the system's process manager.
When process y dies, the Operations system handles the termination of the process and performs certain actions related to its termination. Here are the likely outcomes when process y, with process x as its child and process z as its parent, dies:
1. Process y's termination: When process y dies, the operating system marks it as terminated and frees up any system resources that were allocated to it. This includes releasing memory, closing file descriptors, and removing its entry from the process table.
2. Parent-child relationship: Since process x is the child of process y, the operating system updates the parent-child relationship. Typically, when a parent process dies, the child process is reassigned to another process called the init process or is terminated if no other process adopts it. The exact behavior depends on the operating system's process management policies.
3. Process z's status: Process z, being the parent of process y, may receive a notification or a signal indicating the termination of its child process. The operating system usually sends a SIGCHLD signal to the parent process, allowing it to handle the termination of its child process appropriately. Process z can choose to ignore the signal or perform actions such as cleaning up resources or spawning a new child process to replace the terminated one.
4. Orphaned process: If process z does not handle the termination of process y appropriately or if process z itself terminates before process y, process x becomes an orphaned process. Orphaned processes are typically adopted by the init process or the system's process manager, ensuring that they are handled and terminated properly.
In summary, when process y dies, the operating system marks it as terminated, updates the parent-child relationship, and may notify process z. The exact behavior and consequences depend on the operating system's process management mechanisms and the actions taken by process z or the system's process manager.
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Select all the correct answers.
Which two statements describe a benefit of filing tax returns electronically?
Fewer forms are needed to e-file a tax return.
Taxpayers get a tax credit coupon for using an environmentally friendly method.
Returns are processed quicker, so taxpayers receive tax refunds faster.
Taxpayers are more likely to avoid lost or delayed returns.
Taxpayers get a cash credit for helping the IRS save money on printed forms.
Answer:
Returns are processed quicker, so taxpayers receive tax refunds faster.
Taxpayers are more likely to avoid lost or delayed returns.
Step-by-step explanation:
Tax returns can be defined as the documents that are filled by individuals that deducted the tax they are supposed to pay to their government from the income that they earn.
Tax returns can be filed in two ways.
a) The use of paper
b) Filing Electronically.
Filing of tax returns electronically also known as E- filing can be defined as the process whereby individuals file or fill there tax returns online using the internet whereby they input adequate and essential information required on the appropriate tax authority website e.g. The I.R.S. e.t.c.
The method of electronically filing of tax returns has very important benefits and they are:
a) Electronically filing saves time and energy by reducing the amount of paper documents personnels at tax agencies have to file manually as individuals can now input their information directly on the websites and it would be filed appropriately.
b) When taxes are filed electronically, tax returns are processed quicker, so taxpayers receive tax refunds faster.
c) Taxpayers are more likely to avoid
lost or delayed returns.
d) Electronic filing of taxes saves tax agencies money.
e) Electronic filing of taxes saves the energy and time of tax payers as electronic filing of taxes can be done from the comfort of your home.
Answer:
Returns are processed quicker, so taxpayers receive tax refunds faster.
Taxpayers are more likely to avoid lost or delayed returns.
Step-by-step explanation:
on a regular day during the NBA season are what roughly nine NBA games being played on regular days the NBA uses a total of 27 brand new basketballs on using each game uses that exact same number of basketballs fill out the table below using equivalent ratios?
To find the constant of proportionality, divide the total amount of basketballs that have been used by the total number of games. This will give you the rate of new basketballs per game:
\(\frac{27\text{ basketballs}}{9\text{ games}}=3\text{ basketballs per game}\)Fill the column of "Number of NBA games" with the numbers from 1 to 9. Using the constant of proportionality, multiply each number in the first column by 3 to find how many basketballs are used depending on the number of games.
\(\begin{gathered} 1\text{ game }\rightarrow\text{ 3 basketballs} \\ 2\text{ games}\rightarrow6\text{ basketballs} \\ 3\text{ games }\rightarrow9\text{ basketballs} \\ \text{.} \\ \text{.} \\ \text{.} \\ 9\text{ games }\rightarrow27\text{ basketballs} \end{gathered}\)Remember: the proportional relationship being represented is the number of new basketbals that are used per game. The constant of proportionality is 27/9 = 3, and that's the value that belongs next to the 1 in the table.
what is the claim that he is testing? the mean height of the 102 12 -year-old boys in the sample is greater than 59.2 in. the mean height of all 12 -year-old boys is 59.2 in. the mean height of 12 -year-old boys from high-income families is 59.2 in. the mean height of 12 -year-old boys from high-income families is 59.5 in. the mean height of 12 -year-old boys from high-income families is greater tha
The claim that is being tested is: "the mean height of 12-year-old boys from high-income families is greater than 59.2 inches."
In order to test this claim, one could follow these steps:
1. Gather data: Collect a sample of 12-year-old boys from high-income families. 2. Calculate the sample mean: Compute the mean height of the boys in the sample. 3. Formulate a null hypothesis (H0): The mean height of 12-year-old boys from high-income families is equal to 59.2 inches.
4. Formulate an alternative hypothesis (H1): The mean height of 12-year-old boys from high-income families is greater than 59.2 inches. 5. Perform a hypothesis test: Using the appropriate statistical test, compare the sample mean to the population mean of 59.2 inches. 6. Draw conclusions: Based on the results of the hypothesis test, either reject the null hypothesis (supporting the alternative hypothesis) or fail to reject the null hypothesis (not enough evidence to support the alternative hypothesis).
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The claim that their mean height is greater than 59.2 in is the alternative hypothesis, which will be accepted or rejected based on the results of the data analysis.
The claim that he is testing is that the mean height of 12-year-old boys from high-income families is greater than 59.2 in. This claim is being tested by collecting data from a sample of 102 12-year-old boys and calculating their mean height. The hypothesis is that this mean height will be greater than 59.2 in, which is the assumed population mean height for all 12-year-old boys. The researcher is specifically interested in the height of boys from high-income families, so this is the subgroup that is being tested. The claim that their mean height is greater than 59.2 in is the alternative hypothesis, which will be accepted or rejected based on the results of the data analysis.
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Veronica takes of an hour to write of a page of calligraphy.
How long will it take Veronica to write one page of calligraphy?
Using proportions, it is found that it will take Veronica 4/3 of an hour to write one page of calligraphy.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, it is found that she takes 1/3 of an hour to write 1/4 of a page of calligraphy. How long it takes her to write a page?
The rule of three is:
1/3 hour - 1/4 page
x hours - 1 page
Applying cross multiplication:
\(\frac{x}{4} = \frac{1}{3}\)
\(x = \frac{4}{3}\)
It will take Veronica 4/3 of an hour to write one page of calligraphy.
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What is the momentum of a 2000-kg car traveling at 20 m/s?
a. O kg m'sec
b. 0.001 kg'm'sec
c. 100 kg m sec
d. 40,000 kg m sec
Answer:
D
Step-by-step explanation:
force = mass × acceleration
Answer: D
Step-by-step explanation:
Use the order of operations to evaluate the expression below.
5+7.2-90 = 3+8 -1
Answer:
-77.8=10
Step-by-step explanation:
rectangle ABCD shown below with dimensions given in units.what is AC in units?A) 8√3B) 12√3C) 12√2D) 24
“Find the length of a side of an equilateral triangle of area 10.2 m^2”
The length of the equilateral triangle = 4.8m
Given that,
The area of the equilateral triangle = 10.2 m²
The formula for the area of an equilateral triangle = \(\sqrt{3} /4 a^{2}\)
Therefore,
\(\sqrt{3} /4 a^{2}\) = 10.2
\(a^{2}\) = 10.2 × \(4/\sqrt{3}\)
\(a^{2}\) = 10.2 × 4/ 1.732
\(a\) = 4.85
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What is the measure of angle QVR?
The measure of angle QVR is 24°
What are angles on parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Since angle UWT and QVR are on indirectly opposite to each other , they will be equal.
This means that UWT = QVR
= 3x+12 = x+20
collecting like terms;
3x-x = 20-12
2x = 8
divide both sides by 2
x = 8/2
x = 4
angle QVR = x+20
therefore QVR = 4+20
= 24°
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5.35/46= ? i hate my mah class cane someone help me
Answer:
0.7
Step-by-step explanation:
Glad to help :)
Jahlil is 6 inches shorter than 4 times his sister's height. Jahlil's height is 70 inches.
Which equation represents h, his sister's height in inches?
A. 4h + 6 = 70
B. 4h - 6 = 70
C. 6h + 4 = 70
D. 6h - 4 = 70
on the 1st of January a student puts N10 in a box. on the 2nd she puts N20 in the box. putting the same number of 10 naira notes as the day of the month. how much money will be in the box if she keeps doing this for the first 10 days of January and the whole of January
Answer:
N550
N4960
Step-by-step explanation:
10 days
First day: N10
Second day: N20
Third day: N30
...
Tenth day: N100
Sum of sequence: 10 + 20 + 30 + 40 + ... + 80 + 90 + 100
sum = (n/2)[2a+(n−1)d]
a = 10; n = 10; d = 10
sum = (10/2) × [2(10) + (10 - 1)(10)]
sum = 5[20 + 9(10)]
sum = 5[110]
sum = 550
Answer: N550
31 days
First day: N10
Second day: N20
Third day: N30
...
Thirty-first day: N100
Sum of sequence: 10 + 20 + 30 + 40 + ... + 290 + 300 + 310
sum = (n/2)[2a+(n−1)d]
a = 10; n = 31; d = 10
sum = (31/2) × [2(10) + (31 - 1)(10)]
sum = 15.5[20 + 30(10)]
sum = 15.5[320]
sum = 4960
Answer: N4960
find the missing side of each triangle. love your answers in simplest radical form.
Answer:
It is 8 ft ......... ok? I hope it helps