Answer:
\frac{-2x^2+2}{x^4+2x^2+1}
2x^2+2
-------------
x^4+2x^2+1
3. About 31% of the people who come to the park bring a dog. One third of people who come to the park
exercise. Which group of people represents a larger percent of the people coming to the park
Let all people be 100%
Now
People bring dog=31%
1/3rd of people
[tex]\\ \sf\longmapsto 100/3=33.3\%[/tex]
Second group people has larger percentage
Jill invests $7,972 in a retirement account with a fixed annual interest rate compounded continuously. After 15 years, the balance reaches
$16,876.72. What is the interest rate of the account?
The interest rate of Jill's account as described is; 0.51%
The amount invested by Jill is $7,972.
According to compound interest;
A = P {1 + (r/n)}^nt.In which case;
A = final amount = $16,876.72P = principal amount = $7,972r = interest rate = ?n = number of times interest is compounded per time = 1t = time = 15Therefore;
$16,876.72 = $7,972 (1 + r/1)^(1×15)$16,876.72/$7,972 = (1 + r/1)^(1×15)2.117 = (1 + r/1)^(1×15)[tex]1 + r = \sqrt[15]{2.117} [/tex]
1 + r = 1.051r = 1.051 - 1r = 0.051The interest rate is therefore; 0.51%
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fraction and percent word problem
From 2012 to 2014, the cost of limes fell by 20%. Farmers increased the cost of limes by 20% from 2012 to 2013. How much did the cost fall from 2013 to 2014, after the farmers were removed?
(A) 20%
(B) 33.3%
(C) 50%
(D) 66.6%
(E) 80%
Answer:
Step-by-step explanation:
Ruth bought two watermelons. The first watermelon was 21.6 pounds, and the second watermelon was 9.07 pounds. How many pounds of watermelon did Ruth buy?
pounds
Help ASAP!!!!!
A. 1/4
B. 4
C. - 1/4
D. –4
Answer:
D. -4
Step-by-step explanation:
the midpoint of (3 x, -2) and (-4, 5y) is (1,4). find x, -y
Answer:
(x,-y): (2,-2)
Step-by-step explanation:
M=(x+x)/2,(y+y)/2
Given (1,4)=
[tex] \frac{3x - 4}{2} [/tex]
This implies:
[tex]1 = \frac{3x - 4}{2} [/tex]
[tex]3x - 4 = 2 \\ 3x = 2 + 4 \\ \frac{3x }{3} = \frac{6}{3} \\ x = 2[/tex]
In a similar way,
[tex]4 = \frac{ - 2 + 5y}{2} \\ - 2 + 5y = 8 \\ 5y = 10 \\ y = 2[/tex]
The question demanded (x,-y)
Hence(2,-2) is the answer
PLZZZZZ I NEED HELP ASAP!!!! 21 points
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P′Q′R′ has vertices P′(1, −2), Q′(0, 3), and R′(−1, 0).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answer:
d. took the test
Step-by-step explanation:
solve for x. round to the nearest tenth of a degree, if necessary
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
2/1 or 20/10
Step-by-step explanation:
the line moves up 2 times every 1 time it moves right.
2. The electrical resistance R of a wire varies inversely with the square of its diameter d. If a wire with a
diameter of 3 millimeters has a resistance of 0.4 ohm, find the resistance of a wire having the same
length and a diameter of 8 millimeters.
Answer:
[tex]0.225 \Omega =225 m\Omega[/tex]
Step-by-step explanation:
We know (Ohm second law) that [tex]R= \frac{k}{d^2}[/tex] where k inlcudes the rest of the parameters (material, lenght). In our situation we have k= [tex]0.4\cdot9 \Omega mm^2[/tex]. The moment the diameter becomes 8mm R becomes
[tex]R= {{0.4\cdot 9}\over{16}} \Omega = 0.225 \Omega[/tex]
A principal of $4100 is invested at 6.5% interest, compounded annually. How much will the investment be worth after 5 years?
Use a calculator and round your answer to the nearest dollar.
Answer:
yy is the comparative narrow of speech to me happy and a bit in a sentence
Step-by-step explanation:
ami and a are of a and or very place argument you the have important X does the be for to gays found teacher you be use single be
Aiden receives a pay rise of 15%, which increases their pay to $17,250. Calculate his salary before the increase.
Answer:
$15,000
Step-by-step explanation:
Let P represent Aiden's current pay.
If they receive a pay rise of 15%, that means they receive their original pay plus 15% of that original pay.
P + 0.15P = 17250
1.15P = 17250
P = 17250/1.15 = 15000
His salary before the increase was $15,000.
Answer:
$14662.5
Step-by-step explanation:
Aiden receives a pay rise of 15%
increases their pay to $17,250
15% of $17,250 is $2587.5 therefore $17,250 - $2587.5 is his salary before the increase which is 14662.5 so aiden had $14662.5 before his salary increase
Identify the similar triangles.
ΔHFE=
ΔHFE=
∆HFE is similar to ∆HFG and ∆ HEG (they all are right triangles and have the same, shape.)
The given triangle ΔHFE is similar to triangle GFH and triangle GHE.
What are similar triangles?Similar triangles are two triangles that have the same shape but may differ in size. They have corresponding angles that are congruent and corresponding sides that are proportional.
Here,
Since triangle HFE is similar to triangle GFH,
∠HEF = ∠GHF,
∠FHE = ∠HGF, and ∠HFE = ∠HFG
Similarly
ΔHFE is similar to triangle ΔGHE.
Similar triangles are useful in many areas of mathematics and in the real world, such as in architecture, engineering, and cartography, where they are used to make scale models of buildings and other structures.
Thus, the given triangle ΔHFE is similar to triangle GFH and triangle GHE.
Learn more about similar triangles here:
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Simplify.
–36 + (–74)
–110
–100
38
110
-------------------------------
- 36 + (-74)
- 36 - 74
- 110
<3
what is the sum of 25.234 and 14.454
What is the sum of 25.234 and 14.454
25.234
14.454
_______ +
39.688
25.234 + 14.454 = 39.688 ✔️
Juan spent $2.50 on apples and oranges. He bought 5 apples at $0.36 each. What is the most he spent on the oranges?Please this is for my homework
Answer:
$0.70
Step-by-step explanation:
5 × $0.36 = $1.80
$2.50 - $1.80 = $0.70
I hope this helped!
2 times a number less 4 is 20
Answer:
68?
Step-by-step explanation:
Answer:
The answer is 8
Step-by-step explanation:
Let the number be x
4x- 12=20 (12 less than 4 times a number is 20)
4x= 20 +12
4x=32
x=8
Hope this helps!!
Solve the Quadratic equation
8n²-56=48n
Answer:
n = {-1, 7}
Step-by-step explanation:
8n² - 56 = 48n
Subtract 48n from both sides
8n² - 48n - 56 = 0
Divide both sides by 8
n² - 6n - 7 = 0
Factor
alternately use the quadratic equation or complete the square
(n - 7)(n + 1) = 0
n = {-1, 7}
The graph shows the savings in Andre's bank account. What is the slope of the line?
Answer:
m=5
Step-by-step explanation:
you have to use the formula y2-y1/x2-x1.
y2= 60
y1= 40
60- 40= 20
x2= 4
x1= 0
4-0= 4
20/4= 5
hope this helps
48 mouse traps/6 people = X mouse traps/1 person
Answer:
8 mousetraps
Step-by-step explanation:
to find how many mousetraps per person, we need to divide 48 by 6, which gives us 8.
The image point of A after a translation right 4 units and down 2 units is the point B(4,−5). Determine the coordinates of the pre-image point A.
Answer:
THE ANSWER
Step-by-step explanation:
Hope it helps❤️
Answer:
(0, -3)
Step-by-step explanation:
Find the surface area of a cube
with side length 8.5 cm.
=========================================================
Explanation:
A cube has 6 identical faces, all of which are squares.
Each square has a side length of 8.5 cm, so its area is (8.5)^2 = 72.25 sq cm.
The overall surface area, aka the area of all 6 faces combined, is 6*72.25 = 433.5 square cm
Answer:
A=433.5cm²
Step-by-step explanation:
A=6a2=6·8.52=433.5cm²
Divide.
1.61÷0.35
Enter your answer in the box.
What is the y-intercept?
Answer:
y- intercept = 4
Step-by-step explanation:
The y- intercept is the point on the y- axis where the graph crosses the y- axis
In this case that is the point (0, 4 ) , then
y- intercept = 4
A license plate consist of 3 digits, 3 letters determine the number of different license plate if the first letter must be N,M, or P and repetition and numbers is not permitted
Answer:
1800.
Step-by-step explanation:
If N is the first letter the next 2 letters will be the number of permutations of 2 from 25 = 25!/ (25-2)!
= 600.
If the first number is M or P the number is the same so that makes 1800 possibilities.
Explain the equivalence of 7 divided by 2 or 7/2and using words.
Answer:
so this is what i think im not sure but ot will be seven dived by two . i hope this works
I need it asap thanks
Answer:
Point-slope form: y - 3 = -6/5 (x + 5)
Slope-intercept form: y = -6/5x - 3
Simplify 9 - 3(5-4x)
Answer:
12x-6
Step-by-step explanation:
9-3(5-4x) distribute
9-15+12x subtract
-6+12x rearrange
12x-6
45 divided by 855 show your work!
Answer:
45 divided by 855 is a very odd number however 855 divided by 54 is 19 ... because 45 multiply by 19 is 855
PLEASE HELP QUESTION 4 ILL GIVE BRAINLIEST
Answer:
7
Step-by-step explanation:
We take the information in the problem and translate it into a linear equation of the form 3x-8=13. Combining like terms we get 3x=21. next divide both sides by 3 for a final answer of x=7
Colin and Brian were playing darts. Colin scored 36. Brian scored 35 more than Colin. What was their combined score?
Answer:
107
Step-by-step explanation:
Because, 36+35=71
and 71+36=107
Answer:
107
Step-by-step explanation:
not that hard bro
