A township is a U.S. land measurement of about 36 square miles. About how many square miles are in 2 1/2 township
Answers
Answer: 90 sqm
Step-by-step explanation:
The township's land measurement is 36 square miles. If you want to know the measurement in 2 1/2 townships you need to multiply 2 1/2 times the square miles in a single township.
Step 1: Convert 2 1/2 to an improper fraction.
2 1/2 = 5/2
Step 2: Multiply
5/2 x 36/1 = 180/2 = 90 sqm
Related Questions
Which equations have extraneous solutions?.
Answers
A root of a transformed equation that is not the root of the original equation because it was excluded from the original equation's domain is known as an extraneous solution.
What are extraneous solutions?
A "false" solution to an equation is known as an extraneous solution. Even if we appeared to follow sound procedures when solving the equation, an extraneous solution did not fulfill the original equation.
So,
When we solve an equation, an extraneous solution is a result that does not fulfill the equation. As an illustration, if we square both sides of the equation x = -1, we obtain the value x = 1, which does not satisfy the original equation, indicating that x = 1 is an extraneous solution.
when we wanted to solve the equation √x = -1. After squaring both sides, we get a value of x = 1.
When we substitute x = 1 into the original equation, we get:
x = -1 [original equation]
√1 = -1 [substitute x = 1]
1 = -1 [this is not true]
Hence,
This equation is called an extraneous solution.
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if smoke is present, the probability that smoke will be detected by device a is 0.95, by device b 0.98; and detected by both device 0.94. if smoke is present, what is the probability that the smoke will be detected by either a or b or both?
Answers
Considering the definition of probability, the probability that the smoke will be detected by either a or b or both is 99%.
Definition of ProbabitityProbability is the greater or lesser possibility that a certain event will occur.
In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.
Union of eventsThe union of events AUB is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs.
The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:
P(A∪B)= P(A) + P(B) -P(A∩B)
where the intersection of events A∩B is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.
Events and probability in this caseIn first place, let's define the following events:
A: The event that smoke will be detected by device A.B: The event that smoke will be detected by device B.Then you know:
P(A)= 0.95P(B)= 0.98P(A and B)= P(A∩B)= 0.94Considering the definition of union of eventes, the probability that the smoke will be detected by either a or b or both is calculated as:
P(A∪B)= P(A) + P(B) -P(A∩B)
P(A∪B)= 0.95 + 0.98 -0.94
P(A∪B)= 0.99= 99%
Finally, the probability that the smoke will be detected by either a or b or both is 99%.
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Michael has 4 and 2/4 of a yard of fabric to make book covers. Each book cover is made from 1/2 of a yard of fabric. How many book covers can Michael make?
Answers
Answer:
9
Step-by-step explanation:
Step 1: convert 4 and 2/4 to a fraction. 9/2
Step 2: divide 9/2 by 1/2. 9/2÷1/2= 9
So Micheal can make 9 book covers.
Part II: Reflection
Answer the following questions in complete sentences that reflect on the narrative writing process.
Reflection Question My Response
Which plot element (exposition, rising action, climax, falling action, resolution) was the most difficult to write? Why?
Which two narrative techniques (dialogue, flashback, foreshadowing, juxtaposition, pacing, sensory details) did you use in your writing?
Copy and paste an example of each from your narrative.
What is the theme (or lesson learned) from your narrative? Use a complete sentence.
Answers
It is often difficult to determine which plot element is the most difficult to write as it largely depends on the individual writer and the story they are trying to tell.
Which plot element are the most difficult to write?In general, many writers find that the climax can be the most challenging as it is the point of highest tension and often requires careful buildup and execution to deliver a satisfying payoff for readers.
Which two narrative techniques are mostly use in the writing?In this writing, the two most commonly used narrative techniques are dialogue and sensory details.
Dialogue is used to reveal the characters' thoughts, feelings, and motivations, as well as to advance the plot and provide information to readers.Sensory details are used to create vivid images in readers' minds and immerse them in the story's setting and atmosphere.In conclusion, the use of sensory details helps to engage readers' senses and make the story feel more real and tangible, while dialogue allows readers to understand the characters' emotions and motivations.
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A person invested $3,200 in an account growing at a rate allowing the money to double every 11 years. How much money would be in the account after 4 years, to the nearest dollar?
Answers
There would be approximately $4,188 in the account after 4 years.
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.
In this case, the initial amount invested is $3,200,
and the interest rate is not given, but we know that the money doubles every 11 years.
We can use the formula for doubling time to find the interest rate:
t = ln(2) / (ln(1 + r/n))
where ln is the natural logarithm.
Solving for r/n, we get:
r/n = (ln(2)) / t
r/n = (ln(2)) / 11
r/n ≈ 0.0631
So the interest rate is approximately 6.31% per year, compounded once per year (n = 1).
Using this information, we can now calculate the amount of money in the account after 4 years:
A = 3200(1 + 0.0631/1)⁴
A ≈ $4,187.89
Rounding to the nearest dollar, we get $4,188.
Therefore, there would be approximately $4,188 in the account after 4 years.
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8.) Order the following numbers Smallest to dargest on a number explain. your reason soning. 7, √53,1 34, 6, √ 25
Answers
Given the numbers:
\(7,\sqrt[]{53},\sqrt[]{34},6,\sqrt[]{25}\)We will arrange the numbers from the least to the greatest
there are two methods:
First, square all the numbers then arrange them then get the original numbers
so, the square of the numbers will be:
\(49,53,34,36,25\)the order from the least to the greatest will be:
\(25,34,36,49,53\)So, the order of the given numbers will be:
\(\sqrt[]{25},\sqrt[]{34},6,7,\sqrt[]{53}\)the second method is by using the calculator to find the square roots of the radicals, it will give the same answer
3x+18y=54
need help with it
Answers
3x+18y-54=0
Divide both sides of the equation by 3
x+6y-18=0
Solution:
x+6y-18=0 (pls give brainlest)
kendall scored 3 times as many points as Abdul scored in a basketball game. Otis scored 5 more points than Abdul scored. The three players scored 45 point all together. how many points did each player score?
Answers
Answer:
Kendall: 24 points; Abdul: 8 points; Otis: 13 points
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
-3(4x+3)+4(6x+1)=43 what is the answer
Answers
Answer:
4
Step-by-step explanation:
-3(4x +3)+4(6x +1)=43
-12x-9 +24x +4 =43
12x - 5=43
12x=43 +5
12x=48
x=48 :12
x=4
One queso dip recipe calls for 4 pieces of cheese and 2 peppers. Hector triples the recipes when he makes queso for his family. How many pieces of cheese for every 1 pepper?
Answers
Answer:
2 pieces of cheese for 1 pepper.
After tripling it: 12:6
Step-by-step explanation:
Focus on the first sentence.
4 pieces of cheese to 2 peppers. Turn it to ratio.
4:2
Simplify:
2:1
So, for every 1 pepper, we have 2 pieces of cheese.
Of the 300 students at Central Middle School, 20% are on the honor roll.
How many students are NOT on the honor roll?
Answers
Explanation:
For this problem, we know that there are 300 students at this school so we can say that is 100%. Since we know 20% are on the honor roll, then (100% - 20% = )80% are not. Given this, we can say the following:
#ofStudentsNotOnHonorRoll = #ofStudents * %notOnHonorRoll
= 300 * 80%
= 300 * .8
= 240
Hope this helps.
Cheers
Find the missing length indicated.
Your answer
Answers
Answer:
x = 12
Step-by-step explanation:
For the middle size triangle
short leg = x
long leg = (25 - 9) = 16
ratio = x/16
For the small triangle
short leg = 9
long leg = x
ratio = 9/x
Similar triangles are proportional so
Set the ratios equal
x/16 = 9/x
Cross multiply
x² = 144
Take the square root of both sides
x = 12
Suppose you invest $4,600 into a savings account with a 8.25% annual interest rate
that compounds interest monthly. Use the TVM solver on your calculator to find the
future value of the account after ten years.
NEED ANSWER ASAP
Answers
Answer:
$10,467.06
Step-by-step explanation:
The computation of the future value is shown below:
As we know that
Future value = Present value × (1 + rate of interest)^number of years
here
rate of interest = 8.25% ÷ 12 = 0.6875%
And, the number of years is = 12 × 10 = 120
So, the future value is
= $4,600 × (1 + 0.6875%)^120
= $4,600 × 2.275448086
= $10,467.06
help please thanks :)
Answers
Answer:
SHADED REGION = 104.06 m2
Step-by-step explanation:
First at all, the square area is:
A1= (22)*(22) = 484 m2
The are for one circle is:
A2 = PI*r2
A2 = (3.14)*(11)2
A2 = 379.94 m2
Then the other circle is the same A2
A2 = A3 = 379.94 m2
You need only half circle for to find the SHADED AREA
(A2)/2 = 189.97 m2
Finally, the SHADED AREA is:
SHADED AREA = A1 -((A2)/2)*2)
SA = 484 m2 - 379.94 m2
SA = 104.06 m2
HELP ASAP WILL MARK YOU BRAINLIEST
Answers
Answer:
None of them...
Step-by-step explanation:
76 - 19 is 57 sooo, if you were to add 19 to 24 you'd get 43. That isnt presented.
Find the area of the largest rectangle that can be inscribed in a semi-circle of radius 4.
Answers
Answer: 50.24
Step-by-step explanation: 4x4x3.14 / radius x radius x pi/ 3.14
Mike has a recipe that feeds one person that calls for 3/8 teaspoon
of salt. How much salt is needed to make the recipe if he needs to cook
the recipe for 3 people? thank u if u help and need this ASAP
Answers
Answer: 1 1/8 teaspoons
Step-by-step explanation:
1 person = 3/8 teaspoons
3/8 x 3 = 1 1/8 teaspoons
Graph the system of equations. y = 2x y = –x + 6 Two lines on a coordinate plane that intersect at the point 2 comma 4. One line has y intercept 0 and the other has y intercept 6. Two lines on a coordinate plane that intersect at the point negative 2 comma negative 4. One line has y intercept 0 and the other has y intercept negative 6. Two lines on a coordinate plane that intersect at the point 1 comma 2. One line has y intercept 0 and the other has y intercept 3. Two lines on a coordinate plane that intersect at the point 3 comma 3. One line has y intercept 0 and the other has y intercept 6.
Answers
The solution to the systems of equations graphically is (2, 4)
Solving the systems of equations graphicallyFrom the question, we have the following parameters that can be used in our computation:
y = 2x
y = -x + 6
Next, we plot the graph of the system of the equations
See attachment for the graph
From the graph, we have solution to the system to be the point of intersection of the lines
This points are located at (2, 4)
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the polynomial of degree 5, p ( x ) has leading coefficient 1, has roots of multiplicity 2 at x = 3 and x = 0 , and a root of multiplicity 1 at x = − 4 find a possible formula for p ( x ) .?
Answers
Polynomial of degree 5, p (x) has leading coefficient 1, has roots of multiplicity 2 at x = 3 and x = 0, and a root of multiplicity 1 at x = − 4.
The polynomial equation that satisfies the above information is:p(x) = (x - 3)²x²(x + 4)Here, (x - 3)² gives two roots at x = 3 and similarly x² gives two roots at x = 0, and (x + 4) gives one root at x = −4.The above equation is a possible formula for p(x). It can be expanded by multiplying the brackets together:p(x) = (x - 3)²x²(x + 4)= (x - 3)(x - 3)x²(x + 4)= (x³ - 6x² + 9x)(x + 4)= x⁴ + 4x³ - 6x² - 24x + 36x² - 54x= x⁵ + 4x⁴ - 6x³ + 12x² - 54xHence, p(x) = x⁵ + 4x⁴ - 6x³ + 12x² - 54x is a possible formula for the given information.
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a triangle has sides with lengths of 6 kilometers, 7 kilometers, and 10 kilometers. is it a right triangle?
Answers
Answer:
Step-by-step explanation:
no because 6 , 7 and 10 doesn't add up to 180 so it is not
A triangle has sides with lengths of 6 kilometers, 7 kilometers, and 10 kilometers is not a right triangle.
To determine if a triangle is a right triangle, you can use the Pythagorean Theorem. The Pythagorean Theorem states that "In a right-angled triangle, the sum of the square of the two shorter sides is equal to the square of the longest side." It can be written as:
a² + b² = c², where 'a' and 'b' are the lengths of the two legs of a right triangle, and 'c' is the length of the hypotenuse.
In this triangle, the two shorter sides have lengths of 6 kilometers and 7 kilometers and the longest side is 10 kilometers.
The square of 6 kilometers is 36 kilometers and the square of 7 kilometers is 49 kilometers.
The sum of 36 kilometers and 49 kilometers is 85 kilometers.
The longest side of the triangle has a length of 10 kilometers, and the square of 10 kilometers is 100 kilometers.
Since 85 kilometers is not equal to 100 kilometers, this triangle is not a right triangle.
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You're really good at investing and you have $1,500 in your investment account. You make 8.5% interest a year on your investment account! For a year you owe $1,600 on a credit card. You pay 19% interest a year on this credit card. How much money are you making on your investment in a year? How much money are you paying in interest in a year on your credit card? What's your total gain/loss that year? (enter a negative value for loss)
Answers
Answer:
My gain in that year is - $ 176.5
Step-by-step explanation:
I have $ 1,500 in my investment account. The rate of interest for a year in my investment account = is 8.5 %.
So, the amount of money I am making on my investment in a year,
= $
= $ 127 .5
I owe $ 1600 on a credit card. Rate of interest a year on this credit card debt, = 19 %.
So, the money I am paying in interest in a year on my card,
= $
= $ 304
Since neither I withdraw money from my investment account except for the interest, nor did I pay my whole credit card debt except the interest, so, my gain in that year,
= $ (127.5 - 304)
= - $ 176.5
So, my loss in that year is $ 176.5
Fractions less then 1/2
Answers
Answer:
Step-by-step explanation:
16 fractions less than one half
1/9, 2/9, 3/9, 4/9, 1/8, 2/8, 3/8, 1/7, 2/7, 3/7, 1/6, 2/6, 1/5, 2/5, 1/4, 1/3
Answer:
1/3, 1/4, 1/5, 1/6
help asap (like right now )
Answers
Answer:
B) Yes, because the slope is \(-\frac{25}{3}\) and the zero is (12, 0)
Step-by-step explanation:
From inspection of the graph:
y-intercept = (0, 100)Two points: (3, 75) and (6, 50)\(\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{50-75}{6-3}=-\dfrac{25}{3}\)
Therefore, the equation of the line in slope-intercept form y = mx + b
(where m is the slope and b is the y-intercept) is:
\(y=-\dfrac{25}{3}x+100\)
To find the zero (when y = 0), set the equation to zero and solve for x:
\(\implies -\dfrac{25}{3}x+100=0\)
\(\implies \dfrac{25}{3}x=100\)
\(\implies 25x=300\)
\(\implies x=12\)
Therefore, the zero is at (12, 0)
Therefore, the graph does represent the function because the slope is \(-\frac{25}{3}\) and the zero is at (12, 0)
Ms. Lynch has 21 coins in nickels and dimes.
Their total value is $1.65. How many of each
coin does she have?
Answers
Answer:
Step-by-step explanation:So we know x + y = 21 and 5x +10y = 165 We line them up in columns x + y = 21 5x +10y = 165 To eliminate the x variable, I'll multiply every element in the 1st equation by -5. -5x + -5y = -105 5x + 10y = 165 Now we combine (add) the equations, which eliminates x altogether. 5y = 60 ... y = 12 From there, x + 12 = 21 ... x = 21-12 ... x = 9 You should double check. Do 9 nickles and 12 dimes equal $1.65? A very important thing to remember using this method is to do the same thing to each element in the equation that you change! I hope that helps.
\(\frac{4}{-2} -\frac{3}{-6}\)
Answers
The value of the fraction is 3/-2
What is a fraction?A fraction can simply be described as the part of a whole variable, a whole number or a whole element.
The different types of fractions in mathematics are;
Mixed fractionsProper fractionsImproper fractionsComplex fractionsSimple fractionsFrom the information given, we have that;
4/-2 - 3/-6
find the lowest common factor
12 - 3/-6
subtract the value, we get;
9/-6
Divide the values into simpler forms
3/-2
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(0,0).(-4,0)
Slope Intercept:
Standard:
help asap please
Answers
Answer:\(\frac{X1-X2}{Y1-Y2}\)
Step-by-step explanation: \(\frac{0-(-4)}{0-0}\) = (4,0)
Slope Intercept: y = 0x + 0
Standard: 0x - y = 0
Tenley wants to exercise at least 15 hours per week. She walks at a speed of three miles per hour and bikes at a speed of 10 miles per hour. She wants to cover at least 90 miles total in her weekly workouts, biking no more than 10 hours and walking no more than 12 hours.
Answers
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of hours spent on walking and let y represent the number of hours spent on biking.
Tenley wants to exercise at least 15 hours per week, therefore:
x + y ≥ 15 (1)
Tenley cover at least 90 miles total in her weekly workout, therefore:
3x + 10y ≥ 90 (2)
x ≤ 12, y ≤ 10 (3)
Plotting the above constraints using geogebra online graphing tool. The solution to the problem is:
(5, 10) , (12, 10), (12, 5.4), (8.57, 6.43)
-8+(-6)-(-7) alguien sabe cómo se resuelve
Answers
Answer:
Cuando solo tienes los signos (+,-) junto al paréntesis solo se cambia el signo del número/s adentro del paréntesis, por ejemplo: -(-7)= 7 . Es depende si los dos signos son diferentes son negativos(-) y si son iguales son positivos (+)
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!
Answers
Answer:
hello
Step-by-step explanation:
yeah
Answer:
F= 42
C= 48
A= 48
B= 132
D= 132
Step-by-step explanation:
What is the missing value in the table below?
Number of Books
3. $10.00
9. $30.00
18. $60.00
$80.00
Answers
Answer:
24 books
Step-by-step explanation:
Books are valued at $10/3 books. 18 books would have a value of (18books)*($10/3books) = $60, and so on.
X books would have a value of X($10/3)=$80
X = ($80)*(3/$10)
X = 24 books