The equation is 6.5 (r-1) + 5.5 = 259 or 6.5 r - 1 = 259.
In this case, r stands for the overall number of rows.
The answer indicates that each row is 6.5 cm tall.
What is an equation?A formula known as an equation uses the equals sign (=) to express how two expressions are equal. The word "equation" and its cognates in other languages may have slightly different meanings. For instance, in French, an equation is defined as having one or more variables, while in English, any well-formed formula consisting of two expressions related with an equals sign is an equation. The task of solving an equation with variables entails figuring out which values of the variables cause the equality to hold true. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions. Identity equations and conditional equations are the two types of equations.
The height of the top row is 6.5 - 1 = 5.5 cm.
Except for this row, there are total rows of = (r-1)
So, 6.5 is the total length of these rows (r-1)
The overall length of the wall is therefore equal to the sum of the (r-1) row and the top row.
However, once more in line with the inquiry,
Exactly 259 centimeters must be on the wall.
⇒ 259 = 6.5(r-1) + 5.5
⇒ 6.5(r-1) + 5.5 = 259
⇒ 6.5 r - 6.5 + 5.5 = 259
⇒ 6.5 r - 1 = 259
Which is the required equation for finding the number of rows (r).
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Help me out please thank u
Explanation:
Points A, C, U, D, S and E are all in the bottom floor plane. A plane is a flat surface, and saying "points are coplanar" means the points are all on the same plane.
Points like R, T and B are not on the floor plane, so they are not coplanar with the other points mentioned in the previous paragraph.
In other words, point R is not coplanar with points C, D and E since R is not on the floor plane with C,D,E.
HELP IF YOU KNOW THIS
Find the distance AB Show work.
(Check picture)
Answer:
9.22
Step-by-step explanation:
use the distance between 2 points formula:
d = √(x2 - x1)² + (y2 - y1)² and the 2 points (-7, -2) (2, -4)
d = √(2 - -7)² + (-4 - -2)² = √(9² + -2²) = √85 = 9.22
Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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How do you find the diameter of a quarter circle?
Answer:
um 1/4
Step-by-step explanation:
A runner is 6/8 mile from the finish line. If she can travel 3/8 mile per minute, how long will it take her to finish the race? Answer in a complete sentence.
Answer:
it will take her 40 seconds to finish the race.
3/8 per minute, would make it 1/8 every 20 seconds. since she only has 2/8 of a mile left to go, 20 seconds +20 seconds = 40 seconds
(if you needed how long it takes her to run the whole race, it's 2 minutes 40 seconds, which would make her the fastest mile runner in the world)
Step-by-step explanation:
I hope this helps :)
Mrs jaffa has 48 starbursts and 64 skittles. she wants to package them in a plastic bag so that each bag has an equal number of starbursts and an equal number of skittles. what is the greatest number of bags mrs.jaffe can put together with pieces of candy left over
Answer:
The answer is 7
Step-by-step explanation:
48 and 64 is 112, divided by 7 would be 16, so Mrs.Jaffa would use 7 bags in all. Hope this helps
Are these congrent? Based, on the picture.
A. BE≅DE
B. ∠BEC≅∠DEC
C. △AEB≅△AED
D. BE≅CE
Answer:
Step-by-step explanation:
The answer is B I think
el costo actual de un terreno es de 192mil pesos. si su costo incrementa a una taza anual del 20% sobre el costo original ¿Cuánto cuesta el solar a transcurrir 3 años?
plisss por el amor de la santa ramona ayúdenme por que si no el Kim namjoon me rapa las cejas :v
Answer:
307,200 pesos
Step-by-step explanation:
%/100 = es/de
20/100 = x/192,000 (multiplicación cruzada)
(20*192,000)/100 = 38,400
38400 * 3 = 115,200
192,000 + 115,200 = 307,200 pesos
If the area of a circle is 44cm2 what will be the area of shaded portion
Answer:
11cm2
Step-by-step explanation:
44/4 =11
1/4 of circle is shaded
Points that are on the same line are collinear. Use the definition of slope to determine whether the given points are collinear.
(-2,6),(0,2),(1,0)
Using the definition of slope, the points (-2 , 6), (0 , 2), and (1 , 0) are collinear.
Three or more points are said to be collinear if they lie on a single straight line.
To determine whether the given points are collinear, use the definition of slope. The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points.
m = (y2 - y1)/(x2 - x1)
Getting the slope of each pair of points:
(-2 , 6) and (0 , 2)
m = (y2 - y1)/(x2 - x1)
m = (2 - 6)/(0 - -2)
m = -4/2
m = -2
(0 , 2), and (1 , 0)
m = (y2 - y1)/(x2 - x1)
m = (0 - 2)/(1 - 0)
m = -2/1
m = -2
(-2 , 6) and (1 , 0)
m = (y2 - y1)/(x2 - x1)
m = (0 - 6)/(1 - -2)
m = -6/3
m = -2
Since collinear points lies on the same line, the slope of any pair of points should be the same. Since the slopes of each pair of points is equal with each other, then they are collinear.
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f(a) = 7(a + 1) - 6
Answer: I'm not sure what the question is, but we can simplify the equation to f(a) = 7a - 1
Step-by-step explanation:
f(a) = 7(a + 1) - 6
f(a) = 7a + 7 - 6 [Multiply (a+1) by 7]
f(a) = 7a -1
Which binomial is a factor of 100x2 – 49?
a
O 10x + 7
O 25% - 7
O 25x + 49
O 203 – 49
-
Answer:
Step-by-step explanation:
What you have here is called "the difference of two squares"
Difference means subtraction and both 100x2 and 49 are perfect squares.
The factored form of 100x2-49 is
(10x+7)(10x-7)
Because 10x times 10x is 100x2 and 7 times 7 is 49
One factor has a + and
One factor has a -
It is a pattern worth memorizing!
So 10x + 7 is the factor you're looking for.
on a multiple choice test each question has 4 answer choices. Matt doesn't know the correct answer to question #4. what is the probability he will guess the correct answer?
Answer:
0.25 or 25%-------------------------
It is assumed one of the answer choices is correct.
Since there are 4 answer choices for question #4 and Matt is guessing, the probability that he will guess the correct answer is 1 out of 4 or 1/4, which is equal to 0.25 or 25%.
The length of a rectangle is twice its width. If its perimeter is 54 cm, find its length.
a. 18 cm
b. 10 cm
c. 19 cm
d. 15 cm
The length of a rectangle is found to be 18 cm.
An enclosed 2-D shape plane called a rectangle has four sides, four corners, and four right angles (90°). It has equal and parallel opposite sides. Because a rectangle is a two-dimensional form, it has length and width as its two dimensions. The length of a rectangle is considered as its longer side; its breadth is considered as its shorter side.
The perimeter of the rectangle is given as 54 cm. Let's consider the length of the rectangle as x and the width as y.
The formula to calculate the perimeter is 2(x+y).
The length is given as 2y.
Then, the perimeter is,
\(\begin{aligned}\text{Perimeter}&=2(2y+y)\\&=4y+2y\\&=6y\\54&=6y\\y&=\frac{54}{6}\\&=9\end{aligned}\)
Then, the length is 2y=2×9=18.
The answer is 18 cm. Therefore, the correct option is option a.
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Need answer FAST!: What is the area of the triangle given the graph?
Answer:
1/2×b×h
1/2×7×4 =area
a=14
give brainlist
Answer:
A=(l*w)/2
a=7*4/2
A=28/2=14
the answer is 14 I think
32.8519 rounded to the nearest tenth
Answer:
32.9
next time try math - way it helps
Step-by-step explanation:
Let f(x) be a periodic function ( f is periodic with the period T if f(x+nT)=f(x), for all n∈N ). Show that if lim
x→[infinity]
f(x) exists then f(x) is a constant function. Deduce from this that lim
x
>[infinity]sinx does not exist. (Hint: Use the Λ rchimedean property of R )
Sin(x + 2π) is equivalent to sin(x) for all x, and since the limit of sin(x) as x approaches infinity exists, it must be equal to L as well. But this contradicts the fact that sin(x) is not a constant function.
To show that if lim(x→∞) f(x) exists, then f(x) is a constant function, we can use the fact that f(x) is periodic with a period T.
Let's assume that lim(x→∞) f(x) exists and denote it as L.
Now, let's consider f(x + T), which is equivalent to f(x) due to the periodicity of f(x) with period T. As x approaches infinity, x + T also approaches infinity.
Since lim(x→∞) f(x) exists and is equal to L, it implies that lim(x→∞) f(x + T) also exists and is equal to L.
However, f(x + T) is equivalent to f(x) for all x, and since the limit of f(x) as x approaches infinity exists, it must be equal to L as well.
Therefore, we can conclude that f(x) is a constant function, as its value is L for all x.
Now, let's deduce that lim(x→∞) sin(x) does not exist.
Since sin(x) is a periodic function with a period of 2π, it satisfies the condition of being a periodic function.
Assuming that the limit lim(x→∞) sin(x) exists, let's denote it as L.
Now, let's consider sin(x + 2π), which is equivalent to sin(x) due to the periodicity of sin(x) with a period of 2π. As x approaches infinity, x + 2π also approaches infinity.
Since lim(x→∞) sin(x) exists and is equal to L, it implies that lim(x→∞) sin(x + 2π) also exists and is equal to L.
However, sin(x + 2π) is equivalent to sin(x) for all x, and since the limit of sin(x) as x approaches infinity exists, it must be equal to L as well.
But this contradicts the fact that sin(x) is not a constant function.
Therefore, we can conclude that lim(x→∞) sin(x) does not exist.
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The Coca-Cola Company produced a new flavored beverage and advertised it on television. One month after the advertisement launched, the company wanted to understand the effect of the advertisement. Therefore, they conducted a random survey to find out whether people have heard of this new drink. They surveyed 1100 people and 235 among them said they had heard of this new beverage.
Given that 235 out of 1100 people said that they had heard of the new beverage, we can say that the population proportion of people who know of the beverage is not 0.18 using the z test.
A z test of proportion will assess whether or not a sample from a population represents the true proportion of the entire population.
Here we want to test
H0: population proportion of people who knew the new drink was 0.18.
(p = 0.18)
H1: population proportion of people who knew the new drink wasn't 0.18.
(p ≠ 0.18)
The appropriate test statistic is:
z = \(\frac{p-p_0}{\sqrt{\frac{p_0(1-p_0)}{n} } }\)
where \(p_0\) is the population proportion under null hypothesis i.e., 0.18 here.
p is the sample proportion given.
In the given question, 235 out of 1100 people said they had heard of the new beverage.
So, p = 235/1100 = 0.2136
n = sample size = 1100 for the given question.
Thus, z = \(\frac{0.213-0.18}{\sqrt{\frac{0.18(1-0.18)}{1100} } }\) = 2.9
Using the standard normal table, we should reject the null hypothesis at 10% level of significance if z calculated value is greater that 1.28
Since, 2.9 > 1.28, we shall reject the null hypothesis at 10% level of significance.
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Steven bought a video game that was on sale for 30 percent off of the original price. If
the original price of the video game was $29, what was the sales price of the game?
Which function is represented by the graph?
A)f(x) = 2x + 6
B)f(x) = -2x + 6
C)f(x) = 1/2x + 6
D)f(x) = -1/2x + 6
Answer:
It is (D)
\(f(x) = \frac{ - 1}{2} x + 6\)
Step-by-step explanation:
I hope that is useful for you
NASA has announced its lunar project callod Artemis, to establish a long term base on the Moon from 2024. It is known that the Moon has a gravity of 16.53% of that on Earth (a) If a mercury-based manometer reads 1364 x 10 m on the surface of the Moon what is the atmospheric pressure? What would the reading be when it retums to sea level on Earth? ) A water piping system will be specially designed with the restriction of only taminar flow allowed in the system. If a pipe (Pipe A) with a circular profile in the system has a diameter of 10 mm, what are the maximum Reynolds number, velocity and mass flow rate allowed at 15 degrees Colsius? The dynamic viscosity and density of water are assumed to be the same as on Earth and the system is in the base environment with a pressure of 101 3 kPa. (c) Pipe A in (D) is connected to two discharging pipes (8 and C) in the system. The water velocities are 0.18 and 0.16 m/s in Pipe B and C, respectively. The diameter of Pipe Cis twice that of Pipe B. What are the volumetric flow rates in both Pipe B and C? (d) w Pipe C is pointed vertically up and the water is discharged into the atmosphere on the Moon, what is the height of the jot measured from the exit?
The atmospheric pressure on the surface of the Moon can be calculated as 0.1653 times the reading on the mercury-based manometer. When returning to sea level on Earth, the atmospheric pressure would be the standard atmospheric pressure of 101.3 kPa.
The gravity on the Moon is approximately 16.53% of that on Earth. Since the pressure in a liquid column is directly proportional to the height of the column, we can assume that the height of the mercury column in the manometer on the Moon corresponds to the atmospheric pressure. Therefore, the atmospheric pressure on the Moon would be 0.1653 times the reading on the manometer.
When the manometer is brought back to sea level on Earth, the gravitational force acting on the mercury column would be significantly higher due to the stronger gravitational pull. The atmospheric pressure at sea level on Earth is typically around 101.3 kPa, which is considered as the standard atmospheric pressure. Therefore, the reading on the manometer would correspond to the standard atmospheric pressure of 101.3 kPa.
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Write the number 376 as product of prime factors. Write any repeated factors using exponents.
we have that
\(376=2^3\cdot47\)How do you make a perfect circle without a compass
Answer:
You could use a stencil (e.g a glue sitck or coin).
Step-by-step explanation:
Answer:
Use anything else that has a flat circular surface, or this neat paper trick.
Step-by-step explanation:
help me pls (2x+3) (x+5)
Answer: C
Step-by-step explanation:
\(\left(2x+3\right)\left(x+5\right)\)
\(\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\)
\(=2xx+2x\cdot \:5+3x+3\cdot \:5\)
\($$Simplify\)
\(=2x^2+13x+15\)
5000 containers are stacked 20 wide and 50 long on a ship. How many containers high are they? Pls answer and give explanation, thx
Answer:
5 containers high
Step-by-step explanation:
Given that :
Given :
Width = 20 containers
Length = 50 containers
Total containers = 5000
Hence,
Total containers = width * length * height
5000 = 20 * 50 * height
5000 = 1000 * height
Height = 5000 / 1000
Height = 5 containers
TRUE / FALSE.
In the regression \( Y=\beta_{1}+\beta_{2} X+u \), the sample covariance between \( X \) and the ordinary least square residuals is always positive. True False
Answer:
Step-by-step
3
1. 2x - 12 = 6
2. 2x + 6= 8
3. 12 = 12s - 12
4. 14s + 6 = 35
5. 3s - 12 = 6
6. 18t + 9 = 34
7. 21x + 7 = 28
8. 105 = 50y + 5
9. 1/4x - 6 = 24
10. 13x + 2 = 18
11. 6 - 3x = 18
12. 14 + s = 21
13. 28 = 16x - 4
14. 19x + 2 = 40
15. 10t = 194
16. 400x + 100 = 1100
17. - 3x + 43 = 113
1. x=9
2. x=1
3. s=2
4. s= 2.5
5. s=6
6. T=5/6
7. x=1
8. y=2
9. x=120
10. x=16/13
11. x=-4
12. s=7
13. x=2
14. x=2
15. t=97/5
16. x=5/2
17. x=-70/3
Let f be a function such thatf() -2 and f(5) -7. Which of the following conditions ensures that f(c)-O for some value c in the open interval (1,5)? (A) ·f(x) dr exists. (B) f is increasing on the closed interval [1, 5]. (C) f is continuous on the closed interval [1, 5] (D) f is defined for all values of x in the closed interval [1, 5].
Function f is defined for all values of x in the closed interval [1, 5] is not necessary for the existence of a value c in the open interval (1, 5) where f(c) = 0. Correct answer is option (D).
To ensure that there exists a value c in the open interval (1, 5) such that f(c) = 0, the condition that ensures this is (C) f is continuous on the closed interval [1, 5].
If f is continuous on the closed interval [1, 5], then by the Intermediate Value Theorem, we know that if f(1) = -2 and f(5) = -7, there must exist a value c between 1 and 5 where f(c) crosses the x-axis and equals 0.
Option (A) f(x) dr exists does not provide any information about the function's behavior or whether it crosses the x-axis.
Option (B) f is increasing on the closed interval [1, 5] does not guarantee that f will intersect the x-axis or equal 0 within the open interval (1, 5).
Option (D) f is defined for all values of x in the closed interval [1, 5] is not necessary for the existence of a value c in the open interval (1, 5) where f(c) = 0.
Therefore, the correct condition that ensures f(c) = 0 for some value c in the open interval (1, 5) is that f is continuous on the closed interval [1, 5].
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Choose the function whose graph is a parabola.
y = |x + 9|
y = 3\sqrt{x}
y = x 2 - 10
y = -2x
Answer:
y=x2 -10
Step-by-step explanation:
it is because x is squared
a cheetah is the world's fastest land animal. it can cover up to 480 kilometers with speed bursts up to 120 km/hr. running at top speed, how long will it take that cheetah to cover that full distance?
Please I need the answer quick
I don't know if it counts as math but its my science hw