Recall that the a% of b can be computed using the following expression:
\(b\cdot\frac{a}{100}\text{.}\)Ler x be the amount (in dollars) that Kena lists her house, since the commission for the buyer's realtor is 4%, then she will receive the 96% of x.
Now, since Kena wants to receive a minimum of $231,700, then we can set the following equation:
\(x\cdot\frac{96}{100}=231700.\)Multiplying the above equation by 100/96 we get:
\(\begin{gathered} x\cdot\frac{96}{100}\cdot\frac{100}{96}=231700\cdot\frac{100}{96}, \\ x\approx241354.17. \end{gathered}\)Answer: $241,354.17.
Since January 1, 1960, the population of Slim Chance has been described by the formula P = 27000(0.95)^t, where P is the population of the city t years after the start of 1960. At what rate was the population changingon January 1, 19702?numerical rate of change= ___ people per year
We have to calculate the rate of change of the population P(t) at January 1, 1970 (t = 10).
The expression for P(t) is:
\(P(t)=27000\cdot0.95^t\)The rate of change will be given by the first derivative of P(t):
\(\frac{dP}{dt}=27000\cdot\ln (0.95)\cdot0.95^t\)Then, we can calculate the value of the rate of change when t = 10, by replacing t with 10 in the last expression. We then will get:
\(\begin{gathered} \frac{dP}{dt}(100)=27000\cdot\ln (0.95)\cdot0.95^{10} \\ \frac{dP}{dt}(100)\approx27000\cdot(-0.0513)\cdot0.5987 \\ \frac{dP}{dt}(100)\approx-829 \end{gathered}\)The population, on January 1st 1970, is decreasing at a rate of 829 people per year.
Answer: numerical rate of change= -829 people per year
Add the following lengths:
2' 8"
+ 1' 6"
Answer:
4 ft, 2 in
Step-by-step explanation:
2 ft, 8 in plus 1 ft, 6 in = 3 ft, 14 in
there are 12 inches in a foot
3 ft, 14 in equals 4 ft, 2 in
Answer:
4' 2" inches (rounded)
Step-by-step explanation:
2' 8" + 1' 6" = 4.16666667 feet (exact number)
4.16666667 ≅ 4' 2"
The fair market rental rate for Columbus was $630 in 2013 and $551 in 2003. Find the rate of change for the fair market rental rate in Columbus during this period.
Answer:
7.9
Step-by-step explanation:
y2-y1\x2-x1
Use slopes and y-intercepts to determine if the lines y=−x+3 and −3x−3y=1 are parallel.
Answer:
YES PARALLEL
Step-by-step explanation:
The slopes of
y=−x+3 and −3x−3y=1 are both −1.
Parallel
Celine purchased a ball of red yarn costing $2.33. She gave the cashier $7.19. How much change did the cashier give back to Celine?
Answer:
$ 4.86
Step-by-step explanation:
Subtract 7.19 and 2.33
7.19-2.33=4.86
Jiro uses fabric to make costumes for a show choir
Answer:
Print it
Step-by-step explanation:
1) A student has a Math placement of Math 111, Math 100 and Math 102+. What course should the student first start with according to their placement results to then continue to get to Math 103E?
The placement results provided, the student should start with Math 100.
The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.
To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.
Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.
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Question 4
If Madeline wanted to know whether or not her sample results could be generalized to the population, she would use
Answer:
Inferential statistical methods
Step-by-step explanation:
Remember, Madeline had obtained sample results, but she wants to decide whether to apply the sample results to the entire population. To do this, she can use the following:
- estimate her research parameters or
- or perform a hypothesis test which answers her research objectives.
Based on the results she gets, Madeline, can to thus infer from the sample results and apply them to the population.
write the slope intercept form of the questions of each line
Answer:
sorry I can't know the answer
Step-by-step explanation:
again sorry
Good afternoon! I have a survey for you guys to take. I would appreciate it if you do, because I use it for my schoolwork.
Knowing that the Bacon Cheeseburger meal is about 1000 calories and that you are supposed to consume between 2000 and 3000 calories per day, would you still eat Jack in the Box? Thank you beforehand!
1. I would eat there often
2. I would eat there sometimes
3. I would eat there rarely
4. I would not eat there ever
Answer:
Step-by-step explanation:
2, i would eat there sometimes!
Answer:
3. I would eat there rarely.
Step-by-step explanation:
Please give brainliest!!!
Helpppppppppppppppppppppppppppppppppppppp
Answer:
14/16
Step-by-step explanation:
this is because it would double because of how good he is doing
A helicopter hovers 1075 feet above small island The figure shows that the angle depression from the helicopter t0 point on Ihe coast 32* . How far off the coast; to the nearest foot, the island? 1075 The island is approximately feet off the coast (Simplify your answer Round to the nearest whole number as needed )
Hence, By trigonometry the island is roughly **1963 feet** offshore (rounded to nearest whole number).
Describe trigonometry.The relationships between the sides and angles of triangles are the subject of the mathematical discipline of trigonometry. Finding missing side lengths and angles for right triangles is one of its many applications. Many applications of trigonometry can be found in the sciences of engineering, physics, and astronomy.
There are six commonly used functions for an angle in trigonometry. The symbols for them are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).
Trigonometry can be used to resolve the issue. The height of the helicopter over the island is indicated as 1075 feet, and the angle of depression from the helicopter to point P on the coast is given as 32 degrees. We can use the tangent function to determine how distant the island is from the coast.
Provide x as the separation between point P and the coast. Next, we have:
tan(32) = 1075/x
After finding x, we obtain:
x = 1075/tan(32) (32)
x ≈ 1963 ft
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(-2) (4+6)+(-2) 6 / (-2) (4-1) simplified
The simplified form of the expression is \(-32\).
To simplify the expression, we can perform the calculations written below step by step:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)
We follow the order of operations (PEMDAS/BODMAS):
Step 1: Simplify within parentheses:
\(\(4+6 = 10\)\).
Step 2: Perform multiplications and divisions from left to right:
\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).
Step 3: Evaluate the remaining additions and subtractions:
\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).
Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)
When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.
Finally, review the simplified expression to ensure accuracy and validity within the given context.
Note: The complete question is:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.
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A five-sided figure with two parallel sides. The shorter one is 16 feet. The height of the figure is 22 feet. The portion from the vertex to the perpendicular height is 8 feet. The portion from a point to a vertical line created by two vertices is 4 feet. Which of the following represents the total area of the figure? 44 ft2 400 ft2 440 ft2
The total area of the figure is 528 square feet, which is closest to 440 square feet, so the answer is 440 ft2.
What do you mean by trapezoid?The five-sided figure is a trapezoid with two parallel sides, so we can use the formula for the area of a trapezoid to find the total area.
Area of a trapezoid = (sum of the lengths of the two parallel sides) / 2 * height
Let's call the length of the longer parallel side "L". Then the height of the figure is 22 feet, and the length of the shorter parallel side is 16 feet.
Area = (L + 16) / 2 * 22
We also know that the portion from the vertex to the perpendicular height is 8 feet, and the portion from a point to a vertical line created by two vertices is 4 feet. These two lengths form a right triangle, so we can use the Pythagorean theorem to find the length of the longer parallel side, L.
L² = (8 + 4)² = 64
L = 8
Now we can use the formula for the area of a trapezoid to find the total area.
Area = (L + 16) / 2 * 22 = (8 + 16) / 2 * 22 = 24 * 22 = 528
The total area of the figure is 528 square feet, which is closest to 440 square feet, so the answer is 440 ft2.
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A pole is 35 3/4 feet long. If 3/8 of the pole is underground,
then how many feet of the pole are above ground?
Answer: 22.34375
Step-by-step explanation:
35 and 3/4 is equal to 35.75
Therefore,
35.75 x (3/8) is equal to 13.40625 underground.
So 35.75 - 13.40625 = 22.34375 feet above ground
somebody hurry PLSSSSS
a. The image of the net of the square pyramid is given in the diagram attached below.
b. Surface are of the square pyramid = 224 mm²
What is the Surface Area of a Square Pyramid?Surface area of square pyramid = The sum total of each net surface that makes up the square pyramid.
a. An image of the net of the square pyramid is given in the diagram attached below.
The net is made up of 1 square and 4 triangles.
b. Surface are of the square pyramid = 4(area of triangle) + area of square.
= 4(1/2bh) + s²
b = 8 mm
h = 10 mm
s = 8 mm
Thus:
Surface are of the square pyramid = 4(1/2 × 8 × 10) + 8²
Surface are of the square pyramid = 224 mm²
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Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 36 books. There are 1,188 mystery books.
Answer:
33 bookshelves
Step-by-step explanation:
I think this question is asking how many shelves he needs, but I am unsure because the question is incomplete.
If there are 1,188 books, and each shelf can hold 36 books, we need to divide.
\(number of books\)÷\(bookspershelf\)
\(1188\)÷\(36\)=\(33\)
We need 33 bookshelves
Hope this helps :-)
Need answer to this question please don’t understand it
we have to do alot for this
so first we gotta change 12.3 into a mixed fraction
n = 5 so 5 ÷ 12.3
a rectangle with a width of 30 centimeters has a perimiter of 100 centimeters to 160 centimeters graph a compound inequality
Answer:
5 ≤ L ≤ 35
Step-by-step explanation:
Let w represent the width of the rectangle.
The perimeter (P) of the rectangle is given by:
P = 2w + 2L
Where L is the length of the rectangle.
We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:
100 ≤ 2(30) + 2L ≤ 160
100 ≤ 90 + 2L ≤ 160
10 ≤ 2L ≤ 70
We can now divide both sides by 2 to solve for L:
5 ≤ L ≤ 35
Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is: 5 ≤ L ≤ 35
F.IF.8.b Use the properties of exponents to interpret expressions for exponential functions.Question 2 of 6A study is done on the number of bacteria cells in a petri dish. Suppose that the population size Pafter t hours is given by the following exponential function.P(t) = 1500(1.07)'Find the initial population size.Does the function represent growth or decay?Ogrowth decayBy what percent does the population size change each hour?_%
SOLUTION
The given function is:
\(P(t)=1500(1.07)^t\)To find the initial population substitute t=0 into the function:
\(P(t)=1500(1.07)^0\)Calculate the value
\(P(t)=1500\)Notice that as the number of hours increases the population will also increase.
Hence the function is a growth function.
The function can be written as:
\(P(t)=1500(1+0.7)^t\)Therefore the population increases by 7% each hour.
2. Kaden has 105 tickets to give away. He
gives 5 tickets to each person who asks
for tickets. He records the number of
tickets he has left by subtracting 5 from
the previous total. How many times can
Kaden give away 5 tickets?
A. 110
B. 100
C. 21
D. 15
Answer: C. 21
Step-by-step explanation:
= 105/5
= 21
Answer:
c
Step-by-step explanation:
105/5
=21
so the answer is 21
Sol answered 49 questions correctly on a 63 question test.
Answer:
0.7
Step-by-step explanation:
49 out of 63 so it is 49/63 which is 0.7777 inf
write 819 in base five
819 in base five is equal to 13134.
Define base five.Base five is a positional numeral system used in mathematics, having 5 as its base or radix. This means that it represents any real number using five different symbols, often the digits 0, 1, 2, 3, and 4. The ones place is represented by the digit on the right, the place of the five by the digit to the left, the twenty-fives place by the digit after that, and so on. Each digit in base five represents a multiple of a power of five.
To write 819 in base five:
Find the largest power of 5 that is less than or equal to 819: 5^4 = 625.Divide 819 by 625 to find how many 5^4's are in 819: 819 / 625 = 1 with a remainder of 194.Write down the result (1) in the 5^4 place (leftmost digit).Repeat steps 1-3 with the remainder (194):
5^3 = 125194 / 125 = 1 with a remainder of 69Write down the result (1) in the 5^3 place (second digit from left).Repeat steps 1-3 with the remainder (69):
5^2 = 2569 / 25 = 2 with a remainder of 19Write down the result (2) in the 5^2 place (third digit from left).Repeat steps 1-3 with the remainder (19):
5^1 = 519 / 5 = 3 with a remainder of 4Write down the result (3) in the 5^1 place (second digit from right).The remainder (4) is less than 5, so write it down in the 5^0 place (rightmost digit).
Combine all the digits: 13134.
Therefore, 819 in base five is equal to 13134.
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Please see the attached.
Answer:
min: 56
lower quartile: 70
median: 74
upper quartile: 80
max: 86
what does 2 1/4 round to?
A) 2
B) 3
C) 1
D) 2 3/4
WHO EVER GETS IT CORRECT FIRST WILL BE BRAINLEST
Answer:
2 is the answer
Step-by-step explanation:
The answer would be A) 2 Because when rounding you go to the nearest whole number. 2 is only 1/4 from 2 1/4 while 3 is 3/4 away and C) 1 is lower than answer A) 2, And Option D) 2 3/4 isnt even a valid option because its not a whole number/
Answer: A) 2
Please help me I’m stuck on this.
Oliver wants to play the gone fishing game at the carnival.He will use the graph to find the total cost (Y) to play a couple of games.If Oliver wants to play 4 games,how much will he pay?
If u need more information tell me in the comments :)
Answer:
The cost of the game is $7 .
Step-by-step explanation:
By looking at the graph, the line at x = 4 is equals to y = 7
find the distance between the following pairs of points (-1,5)and(-7,-3)
The distance between the points (-1, 5) and (-7, -3) is 10 units.
What is the distance between the given points?The distance formula used in finding the distance between two points is expressed as;
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
Point 1 (-1,5)
x₁ = -1y₁ = 5Point 2 (-7,-3)
x₂ = -7y₂ = -3Plug the given values into the distance formula and simplify.
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
D = √[(-7 - (-1))² + (-3 - 5)²]
D = √[(-7 + 1)² + (-3 - 5)²]
D = √[-6² + (-8)²]
D = √[36 + 64]
D = √100
D = 10
Therefore, the distance is 10 units.
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f(x)=2x^2 + x - 6/ x-1
Answer:
See below
Step-by-step explanation:
Zeroes:
\(f(x)=\frac{2x^2+x-6}{x-1}\)
\(0=\frac{2x^2+x-6}{x-1}\)
\(0=2x^2+x-6\)
\(0=(2x-3)(x+2)\)
\(x=\frac{3}{2},-2\)
Vertical and Horizontal Asymptotes:
\(x\neq 1\) is excluded from the domain, therefore, there's a vertical asymptote at \(x=1\)
No horizontal asymptotes as the degree of the numerator is greater than the degree of the denominator by 1.
Oblique (Slant) Asymptote:
\(f(x)=\frac{2x^2+x-6}{x-1}=2x+3,R(-3)\), so the oblique/slant asymptote is \(y=2x+3\)
Please hurry it’s missing and I need it fast
help please
3/11 × 4/9 =
Answer:
4/33
Step-by-step explanation:
Multiply 3x4 across which equals 12
Multiply 11x9 across which equals 99
Simplify to equal 4/33
Hope this helps!! :)
Answer:
Exact Form:
433
Decimal Form:
0.¯¯12¯¯
Step-by-step explanation: