Answers
Answer:
[tex]\frac{(x + 1)(x - 2)}{x^{2} + 5}[/tex] This is the third option.
Step-by-step explanation:
Dividing a fraction is the same as multiplying the reciprocal of the second fraction.
[tex]\frac{x + 1}{x + 4}[/tex] × [tex]\frac{(x + 4)(x - 2)}{x^{2} + 5}[/tex]
[tex]\frac{(x + 1)(x + 4)(x - 2)}{(x + 4)(x^{2} + 5)}[/tex] Here, we can just get rid of the (x + 4) because it is common in both the numerator and denominator so they cancel each other out.
So the answer would be [tex]\frac{(x + 1)(x - 2)}{(x^{2} + 5)}[/tex] .
I hope this makes sense!! ^-^
Related Questions
The size of the coyote population at a national park increases at the rate of 4.3% per year. If the size
of the current population is 183, find how many coyotes there should be in 6 years. Use
y = yoe^0.043t and round to the nearest whole number.
A) 235
B) 241
C) 239
D) 237
Answers
Answer:
B
Step-by-step explanation:
The estimated number of coyotes after six years, rounded to the closest whole number, is 237.
Therefore, option D) 237 is the appropriate response.
Given that in a national park the population of coyote is increasing by 4.3% per year.
The current population is 183.
We need to find the size of the population after 6 years.
To calculate the number of coyotes in 6 years using the given growth rate, we can use the formula:
[tex]y = y_oe^{0.043t[/tex]
Where:
y = final population after t years
y₀ = initial population
r = growth rate
t = time in years
In this case, the initial population (y₀) is 183, the growth rate (r) is 4.3% or 0.043, and we want to find the final population (y) after 6 years (t = 6).
Plugging in the values:
[tex]y = 183 \times e^{(0.043 \times 6)[/tex]
Calculating this expression:
[tex]y \approx 183 \times e^{(0.258)[/tex]
Using a calculator:
[tex]y \approx 183 \times 1.294[/tex]
[tex]y \approx 236.502[/tex]
Rounding to the nearest whole number, the estimated number of coyotes after 6 years is 237.
Therefore, the correct answer is option D) 237.
Learn more about Exponential growth rate, click;
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Help me with this!!!
Answers
Answer:
yes
Step-by-step explanation:
Y because I said so
A plane traveling with a velocity measured in meters per second, is described by vector a = 5,6). Find the
speed of the plane.
Answers
Answer:
The speed of the plane is [tex]v=1.2\: m/s[/tex]
Step-by-step explanation:
The vector (5,6) represents a point in the coordinate system time-position.
So, we have that at t = 5 s the position is x = 6.
Let's recall that the slope of this vector is the speed, then using the tangent definition:
[tex]v=\frac{x}{t}=\frac{6}{5}[/tex]
[tex]v=1.2\: m/s[/tex]
I hope it helps you!
The system of equations n=2p+3 and n=5p is graphed.what is the solution to the system of equations
Answers
Answer:
n=7 and p=2
Step-by-step explanation:
Graph is not given,
we have n=2p+3 and n=5+p
that's 2p+3=5+p
P=5 - 3
P=2
so the solution is n=7 and p=2
Answer:
(2,7)
Step-by-step explanation:
A landscaper will pave the walkway for $5 per square foot. How much will it cost for Mrs. Johnson to have the landscaper pave her walkway If there is 9ft 16ft and 10ft? HELP PLEASE
A: $117
B: $144
C: $585
D: $720
Answers
Please help! In the diagram below, lines l and k are parallel.
What is the measure, in degrees, of ∠ABC ?
Answers
Answer:
50
Step-by-step explanation:
x+95 = 4x-10 ( alternate angles)
or, 4x -x = 95+10
or, 3x = 105
x= 35
x+95 = 35+95 = 130
130 + ABC = 180 ( linear pair)
or, ABC = 180-130= 50
7. Tom weighs 168.5 pounds. His 2-year- old son, Nicholas, weighs 33.7 pounds. How many times as much as Nicholas does Tom weigh?
Answers
Answer:
Tom weighs 5 times as much as Nicholas
Step-by-step explanation:
To find how many times as much as Nicholas Tom weighs, we will divide Tom's weight by Nicholas' weight. This is done as follows:
Tom's weight = 168.5 pounds
Nicholas' weight = 33.7 pounds
Dividing both weights = 168.5 ÷ 33.7 = 5
∴ Tom weighs 5 times as much as Nicholas
Help!
This is for Patterns, Functions, and Algebra!
Answers
Answer:
C.
Step-by-step explanation:
The answer is C
What is the measure of an angle that is the complement of angle A?
A. 135
B. 5
C. 45
D. None of the above
E. 55
Answers
PLEASE HELP
Find the measure of the numbered angles
Answers
Answer:
I believe the answers are;
m<1 = 50°
m<2 = 130°
m<3 = 50°
m<4 = 130°
m<5 = 40°
m<6 = 30°
Meg and Theo each thought of five numbers. Meg's first number was 0, and so was Theo's. Meg added 2 each time to get her other numbers, and Theo added 4 each time. Which statement correctly compares Theo and Meg'snumbers? A Each of Theo's numbers is 2 more than Meg's corresponding number, because Theo adds 2 more than Meg to get the next number. B Each of Theo's numbers is half of Meg's corresponding number, because Theo adds half as much as Meg to get the next number. C Each of Theo's numbers is 4 more than Meg's corresponding number, because Theo adds 4 each time to get the next number. D Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.
Answers
Answer:
D. Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.
Step-by-step explanation:
Meg = 0, 2, 4, 6, 8
Theo = 0, 4, 8, 12, 16
Second number of Theo is 4 which is double of 2 (Meg second number)
This applies to the third, fourth and fifth number of Theo
Therefore,
Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.
PLEASE HELP WITH THIS BEEN WAITING FOR AN HOUR!!!
Answers
Answer:
The 3rd one
Step-by-step explanation:
The 3rd one because a tessellation is (By definition) "an arrangement of shapes closely fitted together, especially of polygons in a repeated pattern without gaps or overlapping." In this case 3rd because they fit with no gaps and no overlapping.
Answer:
the third one sorry couldn't answer here sooner!
Step-by-step explanation:
-Ash
Solve the equation 7= -108 – 3.
Answers
-108-3-7 = -118
Answer:
s=-1
Step-by-step explanation:
Solve for the x.
Assume the segments that appear to be tangent are tangent.
Answers
4.5 i think im really not sure check with someone else before answering
hii please help i’ll give brainliest!!
Answers
Answer:
third one i think soo ( a push or pull acting on an object )
what is the formula to find the area of a triangle? choose all that apply
Answers
Answer:
the second and thrid one :)
Step-by-step explanation:
Find the missing side of this right triangle.
Answers
Answer:
13
Step-by-step explanation:
it's a 5,12,13 triangle
and we can find the sides by Pythagorean theorem:
a^2 + b^2 = root of c
25 + 144 = 169
root of 169 = 13
Find the area of the trapezoid.
Answers
Answer:
A 303.66
Step-by-step explanation:
b1+b2÷2×h is the formula.
So step by step.
29.2+19=48.2
48.2÷2=24.1
24.1×12.6=303.66
The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.
It is required to find the area of a trapezoid.
What is a trapezoid?It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.
We know the formula for the area of a trapezoid:
[tex]\rm Area = \frac{a+b}{2} \times h[/tex] Where 'a' is the long base, 'b' is the short base and 'h' is the height.
We have a = 29.2 in
b = 19 in
h = 12.6
By putting these values in the formula, we get:
[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]
Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
Learn more about the trapezoid here:
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Hellohello, if you able to help me then please do. (:
Answers
Answer:
The answer is D.
Sum means addition. So, you would be adding a and b. Remember this; a - b = difference, a * b = product, a ÷ b = quotient, and a + b = sum. Good luck!
Answer:
d) a+b
Step-by-step explanation:
For this question we can think of a and b as different numbers just for the sake of making the question easier. For example "a" could be 2 and "b" could be 3 (a=2 and b=3).
(However, keep in mind that "a" and "b" can be any number and that we don't know their values. But we can assign some values to them in order to solve the question more easily)
So if a=2 and b=3 in our example the notation for their sum would be 2+3. If we just put a for 2 and b for 3 we get a+b, which is the answer
PLEASE HELP ASAPPPPPP!!!!!!!!!!!!
Answers
Answer:
324
Step-by-step explanation:
divide 752 by 2 to get 376
then subtract 52 from 376 to get 324
tell whether the slope is positive or negative. then find the slope.
Answers
Answer:
slope is negative
m=-1
Step-by-step explanation:
the slope of a line is positive if it passes through Quadrants III and I. The slope is negative if it passes through II and IV.
yes, this line passes through Quadrant I alongside II and IV, but it doesn't pass through Quadrant III (it has to pass through Quadrant III to be positive)
that means that the slope of this line must be negative
We can calculate the slope (m) with this formula:
(y2-y1)/(x2-x1)
we can pick two points- for example, (1,3) and (2,2)
label the points:
x1=1
y1=3
x2=2
y2=2
now substitute into the equation
m=(2-3)/(2-1)
m=-1/1
m=-1
the slope is -1
Hope this helps! :)
Write the number in 2 equivalent forms as a fraction, decimal, or percent.0.40
Answers
Answer:
2/5 or 40%
Step-by-step explanation:
.40 is 40 hundredths or 40/100
40/100 can be reduced to 20/50 and reduced again to 10/25 and one more time to 2/5
Percentages are fractions out of 100 so 40/100 would be 40%.
diagram not drawn to scale
please helppp
Answers
Answer:
144?
Step-by-step explanation:
Find the slope of the line. Write your answer in simplest form.
Answers
Answer:
Slope = -3/5
Step-by-step explanation:
slope (m) = y2 - y1 / x2 - x1
m = -2 - 1 / 1 - -4
m = -3 / 1 + 4
m = -3 / 5
You can check the work by counting rise (-3 which means 3 units down) over run (5 which means 5 units to the right)
Answer:
-3/5
Step-by-step explanation:
The line is y=-3/5x-1.4
guys help i only have 10 more minutes left ;-;
Answers
Answer:
20
Step-by-step explanation:
12 = 6/10 x
120 = 6x
x = 20
A = 6x – 2
B = 4x + 48
Answers
Answer:
X=25
angle A=148
Step-by-step explanation:
since they are alternating angles
A=B
6x-2=4X+48
solve for X
6x-4x=48+2
2x=50
X=25
angle A= 148
Answer:
148
Step-by-step explanation:
I got it right on khan
Which shapes have parallel sides? Choose ALL the correct answers
Answers
Answer: The shapes that have parallel sides would be the blue diamond (bottom right) and the green trapezoid (top right).
The shapes that have the parallel sides should be blue diamond (bottom right) and the green trapezoid (top right).
What are parallel sides?The parallel sides are considered as the two sides or line that should be parallel to one other also it contain the same kind of distance also it never intersected or even touched to one another.
hence, The shapes that have the parallel sides should be blue diamond (bottom right) and the green trapezoid (top right).
Learn more about sides here: https://brainly.com/question/18190212
PLEASE HELP IM DESPRATE AND I CANT GET IT
Answers
Answer:
1
Step-by-step explanation:
1. 1
if you find -4 on the x-axis, the y value is 1.
what is the 3rd page?
if B is the midpoint of AC, and AB = 12 cm. How long is segment BC? A 12 cm B
Answers
Answer:
6
Step-by-step explanation:
because if B is the mid point of AC And ab is 12 cm If we divide 12 by 2 it'll be 6..but I'm not sure sorry
12 cm
Explanation:
A mid point is halfway between to points. If from A to B is 12 and B is the midpoint of AC, we know BC is 12 as well.
Here is a visual representation:
A___12___B___12___C
Have a wonderful day :)
The tables represent the functions f(x) and g(x).
Which input value produces the same output value for
the two functions?
х
f(x)
Х
g(x)
-13
-3
STO
0 - 444
2
NON
O x=-3
O x= -1
O x=0
O x = 1
-5
-1
3
7
1
3
5
1
2
Answers
Answer:
Option (4)
Step-by-step explanation:
Input values are always represented by the x values and output values of a function is represented by f(x).
From the table given,
Values under x column are the input values and values under f(x) or gx) column are the output values.
From both the tables, common output values for the same input value (x = 1) are,
f(1) = 3
g(1) = 3
Therefore, Option (4) is the answer.
The input value that produces the same output value for both functions is: D. x = 1
What is a Function?A function is a relation which has exactly one y-value (output value) that corresponds to each x-value (input value) in the relation.
In the function [tex]f(x)[/tex], the input value (x) 1 produces an output value [tex]f(x)[/tex] of 3. Same applies for the function g(x).
Thus, [tex]f(1) = g(1) = 3[/tex]
Therefore, the input value that produces the same output value for both functions is: D. x = 1
Learn more about a function on:
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