Answer:
the answer should be 56 :)
Step-by-step explanation:
Answer:
x=56
Step-by-step explanation:
Try to end up with only a single variable on one side.
Step 1: Add 3x to each side of the equation to keep them both equal. Example: 6-2x+3x=62-3x+3x
or
6+x=62
Step 2: Subtract 6 from both sides. Example:
6+x-6=62-6
or
x=56
Step 3: You found the answer. Hope this helps and is correct.
NO LINKS!! Determine whether the sequence is geometric.
2, 4/√(3) , 8/3, 16/3√(3) , . . .
Choose:
1. Yes, the sequence is geometric
2. No, the sequence is not geometric
If so, find the common ratio. (if the sequence is not geometric, enter NONE)
Geometric sequence has a common ratio.
Let's verify is the ratio of subsequent terms is common:
[tex]r=t_2/t_1=(4/\sqrt{3})/2 = 2/\sqrt{3} =2\sqrt{3}/3[/tex][tex]r=t_3/t_2=(8/3)/(4/\sqrt{3}) = 2/\sqrt{3} =2\sqrt{3}/3[/tex][tex]r=t_4/t_3=(16/3\sqrt{3})/ (8/3) = 2/\sqrt{3} =2\sqrt{3}/3[/tex]As wee se the ratio is common, it confirms that the sequence is geometric.
Common ratio is:
[tex]r=2\sqrt{3}/3[/tex]Answer:
Yes, the sequence is geometric.
[tex]\textsf{Common ratio}=\dfrac{2\sqrt{3}}{3}[/tex]
Step-by-step explanation:
Given sequence:
[tex]2, \; \dfrac{4}{\sqrt{3}},\; \dfrac{8}{3},\;\dfrac{16}{3\sqrt{3}},\;...[/tex]
A geometric sequence has a common ratio.
Therefore, to check if the given sequence has a common ratio, divide each term by the previous term:
[tex]\boxed{\begin{aligned}\dfrac{16}{3\sqrt{3}} \div \dfrac{8}{3}&=\dfrac{16}{3\sqrt{3}} \times \dfrac{3}{8}\\\\&=\dfrac{48}{24\sqrt{3}}\\\\&=\dfrac{2}{\sqrt{3}}\\\\&=\dfrac{2\sqrt{3}}{3}\end{aligned}}[/tex]
[tex]\boxed{\begin{aligned}\dfrac{8}{3} \div \dfrac{4}{\sqrt{3}}&=\dfrac{8}{3} \times \dfrac{\sqrt{3}}{4}\\\\&=\dfrac{8\sqrt{3}}{12}\\\\&=\dfrac{2\sqrt{3}}{3}\end{aligned}}[/tex]
[tex]\boxed{\begin{aligned} \dfrac{4}{\sqrt{3}} \div 2&= \dfrac{4}{\sqrt{3}} \times \dfrac{1}{2}\\\\&= \dfrac{4}{2\sqrt{3}} \\\\&=\dfrac{2}{\sqrt{3}}\\\\&=\dfrac{2\sqrt{3}}{3}\end{aligned}}[/tex]
As there is a common ratio, the sequence is geometric.
The common ratio is:
[tex]\dfrac{2\sqrt{3}}{3}[/tex]Match the metric units on the left with their
approximate equivalents on the right. Not all the
options on the right will be used.
1 meter
kilogram
1 liter
1 cup
I mile
2
pounds
1 quart
I yard
Answer:
meter - yard
kilogram - 2 pounds
liter - quart
The circumference of a circle is double the perimeter of square having area 484cm^2.what is the area of circle?
Answer:
The circumference of a corcle is double the perimeter of square having area 484 m^2. what is the area of the circle. Ans:2464 cm^2.
Answer:
Hence the area of a circle is 2466[tex]m^{2}[/tex]
Step-by-step explanation:
Review of the question
[tex]Given,[/tex]
The circumference of a circle is double the perimeter of squareArea of the square is 484[tex]cm^{2}[/tex]To Find:Area of the circle
,
Area of square =[tex]sideXside[/tex]
[tex]484[/tex]=[tex]side^{2}[/tex]
[tex]\sqrt{484}=side^{2}[/tex]
[tex]22 = side[/tex]
Perimeter of square = [tex]4Xside[/tex]
[tex]4X22[/tex]
[tex]88[/tex]
Circumference of the circle = Perimeter of square x 2
Circumference of the circle = 88x2
Circumference of the circle = 176
Now we need to find the radius of the circle
[tex]2\pi r=176[/tex]
[tex]2X3.14Xr=176\\6.28Xr=176\\r=\frac{176}{6.28} \\r=28.025477707[/tex]
Area of the circle=[tex]\pi r^{2}[/tex]
[tex]3.14X[/tex][tex](28.025477707)^{2}[/tex]
[tex]2466[/tex]
Hence the area of a circle is 2466[tex]m^{2}[/tex]
The mean value of land and buildings per acre from a sample of farms is $1200, with a standard deviation of $100. The data set has a bell-shaped distribution. Using the empirical rule, determine which of the following farms, whose land and building values per acre are given, are unusual (more than two standard deviations from the mean). Are any of the data values very unusual (more than three standard deviations from the mean)? $1064 $1417 $1373 $856 $1250 $1102
Answer:
The empirical rule states that for a bell-shaped distribution, approximately 68% of the data values will fall within one standard deviation of the mean, 95% of the data values will fall within two standard deviations of the mean, and 99.7% of the data values will fall within three standard deviations of the mean.
Using this information, we can calculate the range of values that fall within two standard deviations of the mean for the given data set:
Mean: $1200
Standard deviation: $100
Two standard deviations: $200
Therefore, the range of values that fall within two standard deviations of the mean is $1200 - $200 = $1000 to $1200 + $200 = $1400.
With this information, we can determine which of the given data values are unusual (more than two standard deviations from the mean):
$1064 is within two standard deviations of the mean.
$1417 is outside of two standard deviations of the mean.
$1373 is within two standard deviations of the mean.
$856 is outside of two standard deviations of the mean.
$1250 is within two standard deviations of the mean.
$1102 is within two standard deviations of the mean.
Therefore, the data values $1417 and $856 are unusual (more than two standard deviations from the mean).
We can also determine which of the given data values are very unusual (more than three standard deviations from the mean) using the same process. The range of values that fall within three standard deviations of the mean is $1000 to $1600. With this information, we can see that none of the given data values are very unusual (more than three standard deviations from the mean).
2
Which fractions are equivalent to ? Choose ALL the correct answers.
4
4
6
4
6
8
6
12
57
Answer:
Step-by-step explanation:
4/4
8/6
4/6
In gym class, the yellow team and the blue team played soccer. Ali doesn't remember the final score of the game, but she does remember the following.
*There were six goals scored in total
*Neither team scored more than two goals in a row at any point in the game
*The blue team won the game
Determine all the possible final scores and the different ways each score could have been obtained.
The final score is of:
4-2 for the Blue team.
The number of ways that each score could have been obtained is of:
8.
How to obtain the score?These three bullet points are given:
There were six goals scored in total.Neither team scored more than two goals in a row at any point in the game.The blue team won the game.The possible scores with six goals and the blue team winning are of:
6 - 0.5 - 1.4 - 2.If the team didn't score more than two goals in a row at any point of the game, the difference is of two, hence the score was 4 - 2.
The goals can be arranged as follows:
Blue - Blue - Yellow - 3!. (for the last 3 goals there are no restrictions).Blue - Yellow - Blue - Yellow - Blue - Blue.Yellow - Blue - Blue - Yellow - Blue - Blue.Then the total number is of ways that the goals could be obtained is of:
3! + 1 + 1 = 8.
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LAST ONE! DUE SOON! AND NEED HELP! REAL ANSWERS ONLY!!
Answer:
A.) All reptiles run fast
Step-by-step explanation:
Tortoises are reptiles that run slow, so they would be a counterexample to the conjecture that all reptiles run fast. This is because tortoises are a type of reptile that do not run fast, even though the conjecture states that all reptiles do.
In general, reptiles are a class of animals that includes many different species. Some reptiles, such as snakes and lizards, are known for their speed and agility. However, other reptiles, such as tortoises and turtles, are not known for their speed and tend to move much slower than other reptiles. This shows that the conjecture that all reptiles run fast is not always true, and tortoises are a counterexample to this conjecture.
In addition to their speed, tortoises are also distinguished by their hard shells and thick legs. They are typically found in warm, dry environments, and they are known for their long lifespan and low metabolic rate. They are also typically herbivores, feeding on a diet of plants and vegetation. This is in contrast to other reptiles, such as snakes and lizards, which are often carnivorous and hunt for their food. Overall, tortoises are a unique and interesting group of reptiles that do not always fit the generalizations made about reptiles.
In square ABCD, m∠BCE=(5x+9)∘.
What is the value of x?
Enter your answer, as a decimal, in the box.
x =
Answer:
x = 7.2
Step-by-step explanation:
You want the value of x that makes ∠BCE = 45° = (5x +9)°.
SolutionDivide by ° and subtract 9 to get ...
36 = 5x
Divide by 5, and you have the value of x:
7.2 = x
The value of x is 7.2.
__
Additional comment
You know that the corner angles of a square are 90°, and that the diagonals bisect the corner angles. Each half is 45°.
find the measure of m< ABE
Measure of angle ABE is 47°.
Define angle.An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves. Angle can also refer to the length of a rotation or an angle. This metric represents the relationship between a circular arc's length and radius.
Given
∠CBE = 43°
As we know, ∠ABC is a right angle
∠ABC = ∠ABE + ∠CBE
90 = ∠ABE +43
∠ABE = 90 - 43
∠ABE = 47
Measure of angle ABE is 47°.
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What are the values of t and u?
t = ?°
u= ?
By using properties of triangle, it can be calculated that-
t = 60°
u = 8
What is a triangle?
A triangle is a three sided two dimensional figure. A triangle has three sides and three interior angles.
Based on the sides of a triangle, triangle may be classified as equilateral, isosceles and scalene
Triangle whose all three sides are equal is called equilateral
Triangle whose two sides are equal is called isosceles
Triangle whose all sides are unequal is called scalene
Here,
[tex]\angle[/tex]FGE = 90°
[tex]\angle[/tex]GFE = 30°
[tex]\angle FEG[/tex] = 180 - (90 + 30)
= 180 - 120
= 60°
t = 60°
Since FE = HE and [tex]\Delta[/tex]FGE and [tex]\Delta[/tex]FGE are right angle triangles,
So FG = FH
u = 8
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Given the function g(x) = |x - 4|, find the value of g(1).
1536 divide by 48. State your answer and describe
whether your answer is reasonable or
not.
Answer:
32
Step-by-step explanation:
1536 divided by 48 is 32.
I'd say the answer is reasonable because the number is a positive number and also because each item/thing is equal to they are the same thing and nothing is too big or too small.
calculate the shapley values for each player, i.e., the fair amount of money everyone should pay for their meal!
Assuming that the meal cost $50, the Shapley values (payments) for each player is: number of possible combination , Player 1: $15 , Player 2: $10 , Player 3: $10 , Player 4: $15
1. Calculate the marginal contribution of each player. This is the amount of money that each player adds to the total cost of the meal.
Player 1: $25
Player 2: $15
Player 3: $10
Player 4: $0
2. Calculate the Shapley Value for each player. This is calculated by taking the average of the marginal contribution of each player, weighted by the number of possible combinations they could have been in.
Player 1: ($25*3 + $15*2 + $10*1 + $0*0) / 6 = $15
Player 2: ($25*2 + $15*3 + $10*2 + $0*1) / 6 = $10
Player 3: ($25*1 + $15*2 + $10*3 + $0*2) / 6 = $10
Player 4: ($25*0 + $15*1 + $10*2 + $0*3) / 6 = $15
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The quotient of a number and 5 plus 25 is no more than 45. What are the possible values for the number?
Answer:
The number can be any value less than or equal to 100.
Thus, it can be any number in this range: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100]
Step-by-step explanation:
Firstly, let's convert the word problem into a math expression:
[tex]\frac{x}{5}+25\leq45[/tex]
We can now solve this inequality for the variable x.
[tex]\frac{x}{5} \leq 20[/tex]
[tex]x \leq 100[/tex].
Therefore x is any value less than or equal to 100.
help me out on this please
The results were as follows: a) x = +6, -6; b) x = +-2.6591; c) x = +- 3.1622; and d) x =+-5.
What are square root of a number?Get a number that, when multiplied twice by itself, equals the original number in order to find the square root of any integer. Similar to this, we must discover a number that, when multiplied three times by itself, equals the original number in order to get the cube root of any integer. equivalently for 4throots and so on.
We have
a)
[tex]x^{2}[/tex] = 36
so x= [tex]\sqrt{36}[/tex]
x = +6, -6
b)
[tex]x^{2}[/tex] = [tex]\sqrt{50}[/tex]
x = [tex]\sqrt[4]{50}[/tex]
x = +-2.6591
c)
[tex]x^{2}[/tex] = [tex]\sqrt{100}[/tex]
x = [tex]\sqrt[4]{100}[/tex]
x = +- 3.1622
d)
2[tex]x^{2}[/tex] = 50
[tex]x^{2}[/tex] = 50/2
[tex]x^{2}[/tex] = 25
x =+-5
Thus a) x = +6, -6; b) x = +-2.6591; c) x = +- 3.1622; and d) x =+-5.
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Please find what the rent per unit needs to be to have a Net Operating Income (NOI) of $100,000.
Assumptions
Please use the following assumptions below:
Rent per unit (per month)
Vacancy Rate (% of Potential Gross Income) 5%
Operating Expenses (% of Effective Gross Income) 30%
Number of Units 18
*Please fill out the blue area Rent per unit (per month)
Vacancy Rate (% of Potential Gross Income)
Operating Expenses (% of Effective Gross Income)
Number of Units
The rent per unit should be $8,354.22 to generate a Net Operating Income (NOI) of $100,000, given the vacancy rate and operating expenses.
What are the operating expenses?The operating expenses are costs that must be deducted from the gross operating income to arrive at the net operating income.
The operating expenses do not include some period expenses, which are indirect costs.
Total
Rent per unit (per month) = $696.19 ($8,354.22/12) $150,376
Vacancy Rate (5% of Potential Gross Income) 7,519
Effective Gross Income $142,857
Operating Expenses (30% of Effective Gross Income) 42,857
Net Operating Income (NOI) $100,000
Number of Units 18
Working Backwards:Gross operating income = net operating income + operating expenses
Operating expenses = 30% of effective gross income
Net operating income = 70% of effective gross income (100 - 30%)
= $100,000
Effective Gross Income (100%) = $142,857 ($100,000 ÷ 70%)
Vacancy rate = 5% of potential gross income
Effective Gross Income = 95% (100 - 5)
Potential gross income = $150,376 ($142,857 ÷ 95%)
Number of units = 18
Rent per unit = $8,354.22 ($150,376/18)
Rent per month = $696.19 ($8,354.22 ÷ 12)
Thus, a rent of $8,354.22 per unit can generate a Net operating income of $100,000.
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Finley's pumpkin had a mass of
6.5
6.56, point, 5 kilograms
(
kg
)
(kg)left parenthesis, start text, k, g, end text, right parenthesis before he carved it. After it was carved, the pumpkin had a mass of
3.9
kg
3.9kg3, point, 9, start text, k, g, end text.
What was the percent decrease in the mass of the pumpkin?
Step-by-step explanation:
The first, twelfth and last term of an arithmetic progression are and , respectively. Determine (a) the number of terms in the series, (b) the sum of all the terms and (c) the 80 th term
What is the total area of the tiles Felix needs to buy?
By using the formula for area of parallelogram, it can be calculated that
Felix needs to buy 80 [tex]cm^2[/tex] of tiles
What is area of parallelogram?
Area of parallelogram is the total space taken by the parallelogram.
If b is the base of the parallelogram and h is the height of the parallelogram, then area of the parallelogram is calculated by the formula
Here,
Base of each parallelogram = 4cm
Height of each parallelogram = 2cm
Area of each parallelogram = 4 [tex]\times[/tex] 2 = 8 [tex]cm^2[/tex]
Area of 10 parallelograms = 8 [tex]\times[/tex] 10 = 80 [tex]cm^2[/tex]
Felix needs to buy 80 [tex]cm^2[/tex] of tiles
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Complete Question
The full diagram has been attached.
Hello I have to develop that (x-1)(x+2) I know that it makes x²+x-2 but I don't understand why, can you explain me ?
Answer:
pls rate as brainliest it will go a long way
Step-by-step explanation:
(x–1)(x+2)
STEP 1
using the first bracket to expand the other
= x(x + 2) –1(x + 2)
= x² + 2x –x –2
= x² + x – 2
Step 2
or by using the other bracket to expand the other
(x – 1)(x + 2)
x(x – 1) + 2(x – 1)
= x² – x + 2x – 2
= x² + x – 2
Harry and Tim both made New Year’s Resolution. Harry made 5 more resolutions than Tim. Together they made 13 resolutions. How many resolutions did Harry make?
The specified number of New Year's resolutions Harry makes which is 5 more than the resolutions Tim makes, and the total number of resolutions of 13 indicates a word problem with a solution that Harry makes 9 New Year's resolutions.
What is a word problem?A word problem is a mathematics or science question, presented using complete sentences, rather that mathematical expressions or science symbols.
A word problem consists of presenting a problem in terms of a real situation such, with the solution being obtained easiest through the use of mathematical or science procedures.
Let x represent the number of resolutions Tim makes
The number of resolutions Harry makes = x + 5
The number of resolutions Harry and Tim made together = 13
Therefore, we get; x + x + 5 = 13
2·x + 5 = 13
2·x = 13 - 5 = 8
x = 8 ÷ 2 = 4
The number of resolutions Tim makes, x = 4
The number of resolutions Harry makes = x + 5
Therefore, the number of resolutions Harry makes = 4 + 5 = 9
Harry made 9 New Year's resolutions
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7. A material in which thermal energy is transferred slowly is a conductor.
True or False
Answer:
False
Step-by-step explanation:
False. A material in which thermal energy is transferred slowly is actually an insulator. A conductor is a material that easily allows the transfer of thermal energy. This is because conductors have loosely bound electrons that can move freely through the material, allowing heat to be easily transferred. Examples of good conductors include metals such as copper, aluminum, and silver. On the other hand, insulators have tightly bound electrons that do not move easily, making them poor conductors of heat. Examples of good insulators include materials like glass, plastic, and rubber.
Let M be the amount of money left on the card, t weeks after the beginning of the fall semester. enter a linear equation to model the data. use week 0 and week 14 to calculate the slope. round your slope to 2 decimal places.
The amount of money on the card decreases by $1.43 per week. The slope is a measure of the steepness of a line
The slope can be positive, negative, or zero. A positive slope means that the line slopes upward from left to right, which means that the value of the dependent variable (in this case, M) increases as the value of the independent variable (t) increases. A negative slope means that the line slopes downward from left to right, which means that the value of the dependent variable decreases as the value of the independent variable increases.
To find the linear equation that models the data, we need to find the slope of the line. The slope is calculated by using the formula:
slope =[tex](y_2 - y_1) / (x_2 - x_1)[/tex]
Where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are two points on the line. In this case, we can use week 0 and week 14 as our two points. Let's say that at week 0, M = $100 and at week 14, M = $80. Then the slope would be:
slope = ($80 - $100) / (14 - 0) = -$20 / 14 = -$1.43
So the linear equation that models the data is:
M = -$1.43 * t + $100
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HELP ASAP!! READ CAREFULLY
Answer:
1, 4, 5
Step-by-step explanation:
You want to identify correct proportions between the sides of similar isosceles trapezoids ABCD and WXYZ.
Corresponding sidesThe similarity statement tells us the corresponding side pairs are ...
AB ⇔ WXBC ⇔ XYCD ⇔ YZDA ⇔ ZWA proper proportion will be equate ratios of the corresponding sides in the same trapezoid, or the corresponding sides in different trapezoids.
ApplicationAB/WX = DA/ZW . . . . . . correct
AB/WX = ZW/DA . . . . . . incorrect
CB/XY = WX/AB . . . . . . incorrect
AB/WX = CB/YX . . . . . . correct
DA/AB = ZW/WX . . . . . . correct
BC/AD = XY/YZ . . . . . . incorrect
Help me please and thank you!
The angle in the similar triangles is as follows:
m∠N = 42 degrees
How to find the angles of similar triangles?Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.
In other words, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Therefore, triangle JKL is similar to triangle NOP. This means the corresponding angles are congruent.
Hence,
∠J = ∠N
∠K = ∠O
∠L = ∠P
Therefore,
m∠N = 180 - 80 - 58(sum of angles in a triangle)
m∠N = 42 degrees
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Edgar accumulated $9,000 in credit card debt. If the interest rate is 20% per year and he does not make any payments for
2 years, how much will he owe on this debt in 2 years for quarterly compounding? Round your answer to the nearest cent.
To calculate the total amount of interest that Edgar will owe on his credit card debt after 2 years of quarterly compounding at a 20% annual interest rate, we need to use the formula A = P(1 + r/n)^nt, where A is the total amount of money owed after t years, P is the initial principal (or amount borrowed), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years. In this case, the initial principal is $9,000, the annual interest rate is 20%, the number of times the interest is compounded per year is 4 (since the interest is compounded quarterly), and the number of years is 2. Plugging these values into the formula, we get A = $9,000(1 + 0.20/4)^4 * 2 = $9,000(1.05)^8 = $9,000 * 1.4064 = $12,658.40. Thus, after 2 years of quarterly compounding at a 20% annual interest rate, Edgar will owe approximately $12,658.40 on his credit card debt. This result should be rounded to the nearest cent, giving us $12,658.40.
Please help me with this problem, I've been trying for more than twenty minutes. pls help.
Answer:
The inequality has two prime solutions. To determine the number of prime solutions that the inequality has, we need to first solve the inequality to find its solutions. Since the inequality involves a polynomial, we can use the techniques of algebraic manipulation and factoring to solve it.
We begin by multiplying out the left-hand side of the inequality to obtain:
(n²-17)(n²-100)≤0
This expression can be further simplified by multiplying out the terms in the brackets, which gives us:
n⁴ - 117n² + 1700 ≤ 0
To solve this inequality, we need to find the values of n that make the left-hand side equal to zero. We can do this by setting the expression equal to zero and then factoring it to obtain:
n⁴ - 117n² + 1700 = 0
n² (n² - 117) + 1700 = 0
(n² - 19)(n² - 90) + 1700 = 0
(n² - 19)(n² - 90) = -1700
To find the solutions of this equation, we need to find the values of n that make the left-hand side equal to zero. We can do this by setting each factor equal to zero and solving for n:
n² - 19 = 0 or n² - 90 = 0
n² = 19 or n² = 90
n = ±√19 or n = ±√90
Since the problem states that n is a prime number, we need to consider only the solutions where n is a prime number. Of the solutions above, only n = ±√19 and n = ±√90 are prime numbers, so these are the only solutions that we need to consider. Since there are two such solutions, the inequality has two prime
A. Quantity A is greater B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given. 0
No information is given for x and it can be fraction or real number, so option D is correct.
What is fraction ?
A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator.
It tells how many equal parts of the whole or collection are taken.
No information is given for x and it can be fraction or real number, so option D is correct.
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What is the lateral of the drawing
Answer:
Step-by-step explanation:
the lateral area of the drawing the lateral area of the drawing is 40 mi2. Area rectangle = w * l 5 * 2 = 10 mi² (area 1 rectangle) then you multiply by 4 10 * 4 = 40 mi² or 5 * 2 * 4 = 40 mi²
Answer:
294 m²
Step-by-step explanation:
You want the lateral area of a regular hexagonal prism with side lengths 7 m and height 7 m.
Lateral areaThe lateral area is the sum of the areas of the 6 square faces.
Each of the 6 faces is a square 7 m on the edge. Its area is ...
(7 m)² = 49 m²
There are 6 of these square faces, so their total area is ...
6 × 49 m² = 294 m²
The lateral area of the prism is 294 m².
find the range for the measure of the third side of a triangle when the measures of the other two sides are 7 km and 29 km.
22>x>36 is the range for the third side's measurement when two sides of a triangle are measured at 7 km and 29 km.
Given that,
When the other two sides of a triangle are measured at 7 km and 29 km.
We have to determine the range for the third side's measurement.
We know that,
Take the measured sides.
7 km and 29 km
So, we can write as
The two sides added together are greater than the third side.
So, take one side as x
We get,
7+x>29
Taking 7 to the right side we get negative 7
x>29-7
x>22
Now taking 29 to left side and x to sides
7+29>x
36>x
Therefore, 22>x>36 is the range for the third side's measurement when two sides of a triangle are measured at 7 km and 29 km.
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Given f(x) = 2x − 3 and g(x) = f(2x), which table represents g(x)?
Answer:
g(x) = 4x - 3
Step-by-step explanation:
f(x) = 2x − 3
g(x) = f(2x)
g(x) = 2(2x) - 3 ==> plugin 2x for x in f(x) in order to get f(2x)
g(x) = 4x - 3