Answer:
18 cowry shells
Step-by-step explanation:
1 dozen which is 1(12) eggs = 3 shells
6 dozens will be 6(12) eggs = ?
Cross Multiply
(72 eggs × 3 shells) ÷ 12
= 216 ÷ 12
= 18
Determine a definite integral that represents the area. region in the first quadrant within the limacon r = 5 + sin(o)
The area of the region in the first quadrant within the limacon r = 5 + sin(o) is 25π/2 + 5π - 2.
The definite integral that represents the area of the region in the first quadrant within the limacon r = 5 + sin(o) is given by:
∫0π/2 (5 + sin(o))2 do
This integral can be evaluated by using the formula for the area of a circle, A = πr2, and converting it to polar coordinates. Since the radius of the limacon is given by r = 5 + sin(o), the area of the region within the limacon is calculated by:
A = ∫0π/2 (5 + sin(o))2 do
= ∫0π/2 (25 + 10 sin(o) + sin2(o)) do
= 25π/2 + 5π - (cos(π/2) - cos(0))
= 25π/2 + 5π - 2
Therefore, the area of the region in the first quadrant within the limacon r = 5 + sin(o) is 25π/2 + 5π - 2.
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which choice is equivalent to the product below? √6/8 x √6/18
Answer: √6/8 x √6/18
Step-by-step explanation: The square root of A over B is the same as the squared of A, so it's important to know that before I start with this product. To go over the square.
I can do that if I combine the two square roots under the exact square root. This is only for multiplication.
I could take the square root of the term separately
Since I'm using fractions, I'll add the tops and bottoms to the equation.
The square root is eight times 18 and the squared root is six times six. It is the square to 36 over. It's eight times 18. There are 44 items.
The square to 36 is a question. I don't know what time it gives me. There were 36. 36 times six is 6. Six Over would be this. What time gives me 1 44?
Twelve times. 6/12 would be the day. It doesn't want me to reduce that, but I could.
The answer would be 6/12.
Tickey and Sixpence collected money for charity in the ratio of 5:2 respectively. Sixpence collected R600 less than Tickey. Determine the total amount collected by Tickey and Sixpence.
Answer:
2100
Step-by-step explanation:
let the unknown be x
5 : 2
x. 600
cross multiply
2x=3000
x= 3000
2
x=. 1500 .
Total amount collected= 1500+600
=2100
If the divisor is not a whole number, move the decimal point to the 19.)______. Move also the decimal point in the dividend to the 20.)______ having the same number of decimal places as in the divisor.9.) _____20.) _____
Put the decimal point to the right to make the divisor a full number if it isn't already. The dividend's decimal point should likewise be moved the same number of spaces to the right (adding some extra zeros if necessary.)
What is meant by decimal point?To distinguish between a full number and its fractional component, a decimal point is a point or a dot. A different name for it is Decimal Mark. The decimal point is the dot that appears in the middle of a whole number and its fractional component. Decimal numbers include, for instance, 34.5. 5 is the fractional portion in this situation, and 34 is a whole number. The decimal point is ".."The word decimal derives from the Latin decimus, which means tenth, from the base word decem, or 10. As a result, the base of the decimal system, often known as the base-10 system, is 10.To learn more about decimal point, refer to:
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Find the average rate of change if the function f(x)=7x from x1=0 to x2 =4
The average rate of change of the function f(x) = 7x from x1 = 0 to x2 = 4 is solved to be 7
How to solve for the rate of changeThe rate of change is solved using the formula
= change in y / change in x
In the problem, the function is f(x) = 7x from x1 = 0 to x2 = 4
hence y = f(x) =
For x = 0, y = 7 * 0 = 0
For x = 4, y = 7 * 4 = 28
rate of change
= 28 - 0 / 4 - 0
= 28 / 4
= 7
the rate of change is 7
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A test plane flies in a straight line with positive velocity v(t), in miles per minute, at time t minutes, where v is a differentiable function of t. Selected values of v(t) are shown in the table below. t (minutes) 0 5 10 15 20 25 30 35 40
v (t) (miles per minute) 7.0 9.2 9.5 7.0 4.5 2.4 2.4 4.3 7.3 Based on the values in the table, what is the smallest number of instances at which the acceleration of the plane could equal zero on the open interval 0
our function v(t) is differentiable in the interval 0 to 40, by mean value theorem a(t)=0 at least two value of t. it can be t=0 and t=5, which is smallest.
A test plane files in a straight line with positive velocity v(t), v is a differentiable function of t.
selected value of v(t) for 0≤ t≤ 40are shown in the table.
We have to justify that what is that smallest number of instances at which the acceleration of plane could equal to zero on the interval (0,40).
We are aware about mean value theorem.
somewhere between t=0 , t=5, v'(t) =0
because v(t) is a differentiable function.
also, t=25 and t=30
v'(t)=0 because
[tex]\frac{v(30)-v(25)}{30-25} =0[/tex],
this means a(t) =0 for at least two value of t.
So, our function is differentiable in the interval 0 to 40, by mean value theorem a(t)=0 at least two value of t. it can be t=0 and t=5.
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Departmental allocation of overheadThe firm is considering a switch to departmental rates for MOH.XYZ will use machine hours (MH) to allocate Assembly Dept. costs. Of the $2,430,000 of MOH, the firm determined that $1,620,000 is related to the Assembly Dept. and $810,000 is related to the Packaging Dept.• Basic units6,000 MH in Assembly• Deluxe units 30,000 MH in Assembly• Total 36,000 MH in Assemblya) Assembly dept. allocation rate = Assembly dept. MOH allocated to Basic = Assembly dept. MOH allocated to Deluxe= XYZ will use labor dollars (DL$) to allocate Packaging Dept. costs• Basic units $990,000 DL$ in Packaging• Deluxe units $360,000 DL$ in Packaging• Total$1,350,000 DL$ in Packagingb) Packaging dept. allocation rate = Packaging dept. MOH allocated to Basic = Packaging dept. MOH allocated to Deluxe = c) Total cost for Basic = Total cost for Deluxe = d) Cost/unit for Basic = Cost/unit for Deluxe =
Assembly dept. allocation rate = $45 per MH; Packaging dept. allocation rate = $0.60/DL$; Total cost for Basic = $864,000; Total cost for Deluxe = $1,566,000; Cost/unit for Basic = $144/unit; Cost/unit for Deluxe = $52/unit.
a) Assembly dept. allocation rate = $1,620,000 MOH / 36,000 MH = $45 per MH
Assembly dept. MOH allocated to Basic = 6,000 MH * $45/MH = $270,000
Assembly dept. MOH allocated to Deluxe = 30,000 MH * $45/MH = $1,350,000
b) Packaging dept. allocation rate = $810,000 MOH / $1,350,000 DL$ = $0.60/DL$
Packaging dept. MOH allocated to Basic = $990,000 DL$ * $0.60/DL$ = $594,000
Packaging dept. MOH allocated to Deluxe = $360,000 DL$ * $0.60/DL$ = $216,000
c) Total cost for Basic = $270,000 + $594,000 = $864,000
Total cost for Deluxe = $1,350,000 + $216,000 = $1,566,000
d) Cost/unit for Basic = $864,000 / 6,000 units = $144/unit
Cost/unit for Deluxe = $1,566,000 / 30,000 units = $52/unit
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Amanda is currently in the market for a new job as a mechanical engineer. To get a sense of what the typical salary is for the position she is interested in, Amanda did some research and found a database showing salary information from mechanical engineers across the county. Amanda had access to both the average national salary and the average local salary for mechanical engineers. Which of the following is an example of a parameter in Amanda's scenario?
In Amanda's case, an example of a parameter is the national average income for mechanical engineers.
What is the parameter in Amanda's scenerio ?As a mechanical engineer, Amanda is now seeking employment. Additionally, she is paid in line with both the national average for Mechanical engineers as well as the average for Mechanical engineers in our community. In Amanda's instance, a parameter example is needed, thus that is what the question asks for. The population's traits are referred to as a parameter, whereas the sample's characteristics are referred to as statistics.
Due to its gifts and the information it provided that was close to the average population slurry, it constitutes a parameter here. A representative sample of mechanical engineers is Amanda's city. In Amanda's city, the slurry from a sample is the mechanical engineers' average annual pay. They have therefore taken a representative sample of all the mechanical engineers in the city from the larger population.
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During _____________, the cell uses information from messenger RNA to produce proteins. Responses A respirationrespiration B transcriptiontranscription C amino acid sequencingamino acid sequencing D translationtranslation
Answer:
D) During translation, the cell uses information from messenger RNA to produce proteins.
Step-by-step explanation:
Hope it helps! =D
Which values of x make the following equation true?
3x = -x^2
A) x= -3
B) x= 0,-3
C) x= 0,3
D) x= 3
The correct option B) x= 0,-3, are the values of x make the given quadratic equation true 3x = -x^2.
Define the term roots of the quadratic equation?f(x) = ax² + bx + c, where a, b, as well as c are constants and just a = 0 represents a quadratic function.The roots of a quadratic equation are the values of the variables that fulfil the equation. In other words, if f() = 0, then x = is a root of a quadratic equation f(x). The x-coordinates of the sites in which the curve y = f(x) intersects the x-axis are the real roots of the an equation f(x) = 0.The stated quadratic equation is-
3x = -x^2
x^2 + 3x = 0
Taking x common.
x(x + 3) = 0
x = 0, -3
Thus, the values of x that makes the equation true are 0, -3.
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A group of researchers establish a p-value of 0.05 for their hypothesis test. What does this mean?
a. The probability of getting a significant result for the test is 5%.
b. There is 5% probability that a true null hypothesis will be rejected.
C. The chi-square critical value for their dataset is 0.05
d. Only measured values of 0.05 or greater will be included in the test.
Answer:
b
Step-by-step explanation:
b. There is 5% probability that a true null hypothesis will be rejected.
A p-value of 0.05 represents the probability of obtaining a test statistic as extreme or more extreme than the one observed under the assumption that the null hypothesis is true. In other words, it is the probability of observing the data or more extreme data assuming the null hypothesis is true. It is also the threshold level of significance beyond which the null hypothesis is rejected in favor of the alternative hypothesis. A p-value of 0.05 means that there is a 5% probability that the observed results occurred by chance under the null hypothesis and that there is a 95% probability that the observed results occurred due to a real effect.
The electric potential as a function of position y in a region of space is given by the equation V(y)=4y2 - 3y. Which of the following is correct for the magnitude of the electric field at position (2,6)?
The electric field is the derivative of the electric potential with respect to position. So we can find the electric field by finding the derivative of V(y) with respect to y.
What does a math function mean?
a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variablevariable).
dV/dy = 8y - 3
So, at position y=6, the electric field is E = dV/dy = 8*6 - 3 = 45
Therefore, the magnitude of the electric field at position (2,6) is 45 N/C.
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Suppose a researcher compiled a data set consisting of the following variables for a sample of 200 women. For each variable, select whether it is discrete or continuous. Variable Discrete Continuous
The number of countries ever visited Pounds of chocolate consumed in the past year Shoe size Height in inches The number of pets currently living in the household
The number of countries ever visited is a discrete variable. Discrete variables are variables that can only take specific values, rather than any value within a range. The number of countries ever visited can only be a whole number, such as 0, 1, 2, 3, and so on, and not a fraction or decimal.
Pounds of chocolate consumed in the past year is a continuous variable. Continuous variables are variables that can take any value within a range. Pounds of chocolate consumed in the past year can be any value between 0 and a maximum value, such as 0.5, 1.5, 2.7, and so on.
Shoe size is a discrete variable. Shoe size is typically measured in whole numbers, such as 5, 6, 7, 8, and so on, and not in fractions or decimals.
Height in inches is a continuous variable. Height in inches can take any value within a range, such as 60, 61, 62, and so on.
The number of pets currently living in the household is a discrete variable. The number of pets can only be a whole number, such as 0, 1, 2, 3, and so on, and not a fraction or decimal.
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Solar panel position
For locations between 20° and 60° north latitude a solar collector panel should be mounted so that its angle with the horizontal is 20°
greater than the local latitude. Consequently, the solar panel mounted on a roof forms a 54° angle with the horizontal. The bottom edge of the 12-ft long panel is resting on the roof and the high edge is 5 feet above the roof. What is the total area of the rectangular solar collector panel?
The rectangular solar collector panel has a total area of 74.164 feet2 since the solar panel put on a roof makes a 54° angle with the horizontal.
what is rectangle ?A quadrilateral having four right angles, or rectangle, in Euclidean plane geometry. A quadrilateral that is equiangular, or one in which all of the angles are equal, is another way to describe it. Also possible is a straight angle in the parallelogram. With four sides that are of the same size, a square is a rectangle. Four 90-degree vertices and equal parallel sides make up a quadrilateral with a rectangle-like shape. Its equirectangular rectangle moniker derives from this. The term "parallelogram" also refers to a rectangle, which has equal and parallel opposite sides.
given
A=12h
sin54°= h/5
ℎ= 5 / sin54°
h= sin54° / 5
Therefore: A=12 * sin54° / 5
74.164 feet2
The rectangular solar collector panel has a total area of 74.164 feet2 since the solar panel put on a roof makes a 54° angle with the horizontal.
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Which is a certain event?
A) pulling a blue sock from a drawer that has 4 blue socks and 2 pink socks
B) pulling a pink sock from a drawer that has 4 blue socks and 2 pink socks
C) pulling a blue sock from a drawer that has only 5 blue socks
D) pulling a pink sock from a drawer that has only 5 blue socks
Answer:
C. Pulling a blue sock from a drawer of only blue socks
Step-by-step explanation:
If there is no other color in the drawer, only that color can be pulled certainly.
Jan had 1/4 pound of chocolate and shared it among her eight friends. How much
did each person get?
Zach had eight candy bars and gave each friend 1/4 of a candy bar. How many
people did he share with?
2 and 1/4 chocolate and shared it among her eight friends.
24 people did he share with candy bar.
What is meant by chocolate ?
The cacao tree's seeds are extremely bitter and must be fermented in order to produce a flavorful product.The seeds are dried, washed, and roasted after fermentation. The shell is taken off to create cocoa nibs, which are then ground to create cocoa mass, a kind of pure chocolate.Chocolate liquor is the result of boiling the cocoa material to a liquid state.It is also possible to chill the liquor and separate it into the two ingredients cocoa solids and cocoa butter.Baking chocolate, often known as bitter chocolate, is made only of cocoa butter and solids in different ratios.Dutch cocoa can be made by alkalizing powdered baking cocoa, which has more fiber than cocoa butter.To learn more about chocolate refer to
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the present age of neha is 4 times the age of her 4 year old son.if her son is presently 14years old, find neha's present age.
Answer: 40
Step-by-step explanation:
12 divied by 1 1/5 help me please
Answer:
10
Step-by-step explanation:
The Salk vaccine field trials were conducted only in certain experimental areas (school districts), selected by the Public Health Service in consultation with local officials. In these areas, there were about 3 million children in grades 1, 2, or 3; and there were about 11 million children in those grades in the United States . In the experimental areas, the incidence of polio was about 25% higher than in the rest of the country. Did the Salk vaccine filed trials cause children to get polio instead of preventing it? Answer yes or no, and explain briefly.
Based on the information provided, it can be concluded that the vaccine trials most likely did not cause children to get polio as these are independent variables.
What is causality bias?This type of bias implies people believe two events are related as a cause or effect. This often happens when one event follows another, and therefore people believe one event causes the other.
In this case, people are likely to believe the vaccine caused higher polio rates just because after the vaccine, polio rates seemed to increase. However, these two variables are independent as vaccines produce immunization against polio.
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Suppose the natural level of output is $60 billion of real GDP and that people expect a price level of 100. On the following graph, use the purple line (diamond symbol) to plot this economy's long-run aggregate supply (RAS) curve. Then use the orange line segments (square symbol) to plot the economy's short-run aggregate supply (AS) curve at each of the following price levels: 90, 95, 100, 105, and 110
The purple line would be plotted at the level of output $60 billion, and the orange line segments would be plotted at 90, 95, 100, 105, and 110 respectively.
1. Plot the purple line at the level of output $60 billion.
2. Plot the orange line segments at 90, 95, 100, 105, and 110 respectively.
The long-run aggregate supply (RAS) curve is used to represent the natural level of output for an economy. In this case, the natural level of output is $60 billion of real GDP with a price level of 100. Therefore, the purple line should be plotted at the level of output $60 billion on the graph. The short-run aggregate supply (AS) curve is used to show how the level of output reacts to the price level. Therefore, the orange line segments should be plotted at 90, 95, 100, 105, and 110 respectively. This will show how the level of output changes when the price level is different from the natural level. This will help to illustrate how the economy may react when the price level is different than expected.
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Hotel P offers two types of rooms for its customers: a Deluxe room and a Suite room. The price per night for the suite room for check-in on Sunday until Thursday is 70% higher than the price per night for a Deluxe room for the exact check-in period. The price per night for the Deluxe room for check-in on Friday and Saturday is 25% higher than for price per night for the Deluxe room for check-in on Sunday until Thursday. If the hotel management wants to maintain the price difference between the two types of space, and the price per night for a Suite room for check-in on Sunday until Thursday is $223, what should be the price per night for a Suite room for check-in on Friday and Saturday?
The price for the Suite room for check-in on Friday and Saturday is given as follows:
$278.75.
How to obtain the price for the room?The price for the room is obtained applying the proportions in the context of this problem.
The price for the room on the period from Sunday until Thursday is given as follows
$223.
The price for the room on Friday and Saturday is 25% higher than from Sunday until Thursday, hence the price is given as follows:
1.25 x 223 = $278.75.
(as an increase of 25% is equivalent to a proportion of 1.25).
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Jaime está a 10 metros de un edificio y lanza su balón en línea recta ascendente y alcanza el segundo piso del edificio a 5 metros de altura). ¿Cuánto mide la trayectoria del balón (desde que lanza hasta que impacta)?
-25 POINTS-
Y=-X+[?]
Don’t need to explain. guessers will be reported
Answer:
the first one is 16=-4+12
from here you can solve
Step-by-step explanation:
Answer:
the answer is 20
Step-by-step explanation:
y= –x+z
1. 16= –4+z
16+4=z
20=z
z=20
2. 15= –5+z
15+5=z
20=z
z=20
z=20 is true
A flute has a length of 49.0 cm. If the speed of sound in air is 343 m/s, what is the fundamental frequency of the flute, assuming it is a tube closed at one end and open at the other?
The fundamental frequency of the flute of length 49.0 cm and with its one end closed is 175 hertz.
Given,
Length of flute = 49.0 cm
Speed of sound in air = 343 m/s
The flute closed from one end and is open from the other exhibits a standing wave pattern.
We know that,
[tex]f =\frac{v}{4L}[/tex]
Now substituting values in the above equation:
[tex]f = \frac{343}{4* (0.49)}[/tex]
[tex]f = 175 hz[/tex]
Thus, the fundamental frequency of the flute is 175 hertz.
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Find the slope-intercept equation for a line with a slope of 3 that passes through (1, 7).
Answer:
y=3x+4
slope is the slope obviously and insert the point into the y=3x+b
itll be 7=3(1)+b
so itll be 4=b
Consider the triangle A B C with C = 90 ∘ . Compute the following trigonometric values when a = 8 and b = 8 .
Sin A=
Cos A=
Sin B=
Cos B=
The values of the following are:
Sin A = 0.71
Cos A = 0.71
Sin B = 0.71
Cos B = 0.71
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Right triangle ABC.
∠C = 90
The other two sides are a = 8 and b = 8
This means,
The angle opposite to the side a = 8 and b = 8 are equal.
Now,
∠A = ∠C
∠C + ∠A + ∠B = 180
90 + ∠A + ∠B = 180
2∠A = 180 - 90
∠A = 90/2
∠A = 45
∠B = 45
Now,
c² = a² + b²
c² = 64 + 64
c² = 128
c = √128
c = 11.31
Thus,
Sin A = a/c = 8/11.31 = 0.71
Cos A = b/c = 8/11.31 = 0.71
Sin B = b/c = 8/11.31 = 0.71
Cos B = a/c = 8/11.31 = 0.71
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Assume that for dry rice and beans:
1 basin =20 cups
40 basins ≈ 1 sack
(a) A sack contains 100 kg of rice.
Estimate the number of kilograms of rice in 1 başin.
Estimate the number of grams of rice in 1 cup.
(b) A trader buys a sack of rice for 6 000 and sells it at 200 per basin.
Estimate the profit on a sack of rice.
(c) A trader charges #5 000 for a sack and 140 for a basin for beans.
Four women buy a sack of beans between them. They share the beans equally.
How many basins does each woman get?
How much does each woman save by buying the beans in this way?
(a) 1 sack of rice contains 100 kg of rice. If 1 basin of rice is equal to 20 cups, then 1 sack is equal to 40*20 = 800 cups.
Therefore, 1 basin of rice contains 100/40 = 2.5 kg of rice.
1 cup of rice contains 2.5/20 = 0.125 kg of rice.
(b) A trader buys a sack of rice for 6 000 and sells it at 200 per basin. If 1 sack contains 800 cups of rice, then the total revenue from a sack of rice is 800*200 = 160,000.
Therefore, the profit on a sack of rice is 160,000-6,000 = 154,000
(c) A trader charges #5 000 for a sack of beans and 140 for a basin. If four women buy a sack of beans between them, they share the beans equally, so each woman gets 1/4 of a sack of beans, which is equal to 1/440 = 10 basins of beans.
Each woman gets 10 basins of beans which cost 14010 = 1,400. If they had bought the beans individually at 140 per basin, they would have spent 140*10 = 1,400.
So each woman saves 5,000/4 = 1,250 by buying the beans in this way.
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A bottle of liquid laundry detergent priced at $16.99 for a 52-load bottle has been changed to $16.49 for a 48-load bottle. By what percentage has the price per load changed?
Answer:
5.1% increase
Step-by-step explanation:
You want the percentage change in price per load when the price of detergent went from $16.99 for 52 loads to $16.49 for 48 loads.
Percentage changeThe percentage change is given by the formula ...
((new price)/(old price) -1) × 100%
Price per loadThe price per load is found by dividing the price of the bottle of detergent by the number of loads it will wash.
old price per load = $16.99/52 ≈ $0.32673
new price per load = $16.49/48 ≈ $0.34354
ApplicationThen the percentage change is ...
(0.34354/0.32673 -1) × 100% ≈ 0.05145 × 100% ≈ 5.1%
The price per load has increased by about 5.1%.
it would be greatly appreciated if someone could help me.
Here x = 5, The two angles are ∠B = 41° and ∠C= 63°.
What is a pentagon?A pentagon is a 2D polygon with five sides and five angles.
Pentagon is formed from three triangles, so the sum of angles in a pentagon = 3 × 180° = 540°.
We are given in the figure , following information about a pentagon:
3 angles are 90 degrees, one angle is (6x+1) degrees, and the other angle is (8x-11) degrees.
To solve for x, we need to add all of the angles together.
The sum of the angles in any polygon is always equal to (n-2)*180, where n is the number of sides in the polygon.
In this case, n=5, so the sum of the angles is (5-2)*180 = 540 degrees.
We can now solve for x by substituting our known values into the equation.
540 = 90 + (6x + 1) + (8x - 11)
540 = 14x
x = 540/14
x = 5
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use substitution to solve the system of equations -1=2x-y 8x-4y=-4
Given System of equation has multiple solution.
What are Systems of equations?Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
Given a system of equation:
-1 = 2x - y and 8x - 4y = -4
From equation 1
-1 = 2x - y
y = 2x + 1
Substitute this value on equation 2
8x - 4y = -4
8x - 4(2x + 1) = -4
-4 = -4
An equation can have infinitely many solutions when it should satisfy some conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.
Thus, Given System of equation has multiple solution.
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