i know this is really late but this is for anyone else that wants to know the answer
138 -120 = 18 18/120 X 100 = 15%
Rebekahs baby brother weighs 7.71 ponds. her newborn kitten weighs 0.24 pound. how much more does rebekahs baby brother weigh then her kitten
How can you write 23/3 as a mixed number?
If P(x) = 2x 4 - x 2 + 3x - 1, use synthetic division to find P (2).
17
21
33
Answer: 33
Step-by-step explanation:
P(x) = 2x 4 - x 2 + 3x - 1
To find the value of p(2) we simply substitute x = 2.
That is; wherever you see x, simply put 2
P(2) = 2 [tex](2)^{4}[/tex] - [tex](2)^{2}[/tex] + 3(2) - 1
=2(16) - 4 + 6 - 1
= 32 - 4 + 6 -1
=28 + 6 -1
=34 - 1
=33
Therefore the value of P(2) is 33
A farmer wants to build a pen for his sheep. One side of the pen will be a river. The sheep need about 2000 m2 of area to graze. About what length (x) and width (y) should the organization use to use the LEAST amount of fencing possible?
A) length = 43 m, width = 46 m
B) length = 50 m, width = 40 m
C) length = 63 m, width = 32 m
D) length = 100 m, width = 20 m
The option closest to [tex]\( x = 10\sqrt{10} \) and \( y = 200\sqrt{10} \)[/tex] is option D) length = 100 m, width = 20 m. So, the answer is option D.
To minimize the amount of fencing needed, we want to maximize the area of the pen while fulfilling the requirement of 2000 m².
Let's denote the length of the pen as x and the width as y. Since one side of the pen is a river, we only need to fence three sides: two sides of length x and one side of length y. So, the total fencing required is 2x + y.
We're given that the area of the pen should be 2000 m², so we have the equation:
xy = 2000
We want to minimize 2x + y. We can solve the area equation for one variable and substitute it into the expression for the fencing:
[tex]\[ y = \frac{2000}{x} \][/tex]
Substitute this expression for y into the expression for the fencing:
[tex]\[ \text{Fencing} = 2x + \frac{2000}{x} \][/tex]
To minimize this expression, we can take its derivative with respect to x, set it equal to zero, and solve for x.
[tex]\[ \frac{d}{dx}(2x + \frac{2000}{x}) = 2 - \frac{2000}{x^2} = 0 \][/tex]
[tex]\[ 2 = \frac{2000}{x^2} \][/tex]
[tex]\[ x^2 = \frac{2000}{2} = 1000 \][/tex]
[tex]\[ x = \sqrt{1000} = 10\sqrt{10} \][/tex]
Once we find x, we can find y using the area equation:
[tex]\[ y = \frac{2000}{x} = \frac{2000}{10\sqrt{10}} = 200\sqrt{10} \][/tex]
Now, we need to choose the option closest to x and y.
Checking the options:
A) length = 43 m, width = 46 m
B) length = 50 m, width = 40 m
C) length = 63 m, width = 32 m
D) length = 100 m, width = 20 m
The option closest to [tex]\( x = 10\sqrt{10} \) and \( y = 200\sqrt{10} \)[/tex] is option D) length = 100 m, width = 20 m.
So, the answer is option D.
How would i find the rule for this pattern:1280,640,320,160?
The rule for this pattern is to divide each number by 2 to get the next number.
Explanation:To find the rule for this pattern, we need to identify the relationship between the numbers. In this case, each number is half of the previous number. So, to find the next number, we divide the previous number by 2.
For example, 640 is half of 1280, 320 is half of 640, and so on. This means that to find the next number, we divide 320 by 2 to get 160.
Therefore, the rule for this pattern is to divide each number by 2 to get the next number.
What are the common factors of 15 18 a d 12?
Molly runs each morning once around a circular path in her neighborhood. if the diameter of the path is 1.4 miles, how far does molly run each day?
Which is a secant of circle A?
(Points : 1)
segment AB
line DE
segment HG
line CD
Answer:
The correct option is line CD
Step-by-step explanation:
Given the diagram we have to find the secant of circle A.
Secant of a circle is a line intersecting the circle at exactly two different points and a chord is the line determined by these two.
In the circle A the only line intersect two different points is CD and the interval on a secant is the chord of circle.
Here, HG is only the chord of circle not secant.
Hence, the correct option is line CD
1. What is the sum of the polynomials?
(m + n + 3) + (m + n + 4)
2. Find the difference of the polynomials
(10m – 6) – (7m – 4)
3. Find the difference of the polynomials
(4m – 5) – (6m – 7 + 2n)
Answer:
1. 2m+2n+7
2. 3m-2
3.-2m+2-2n
Explanation:
To find the sum of given polynomials (m+n+3) +(m+n+4)
Firstly, open the parenthesis we will get m+n+3+m+n+4
After simplification we will get 2m+2n+7
To find the difference of given polynomials (10m-6)-(7m-4)
Firstly, open the parenthesis we will get 10m-6-7m+4
After simplification we will get 3m-2
Again to find the difference of the polynomials (4m-5)-(6m-7+2n)
Firstly, open the parenthesis we will get 4m-5-6m+7-2n
After simplification we will get -2m+2-2n
The sum of the polynomials (m + n + 3) and (m + n + 4) is 2m + 2n + 7. The difference of the polynomials (10m – 6) and (7m – 4) is 3m - 2. The difference of the polynomials (4m – 5) and (6m – 7 + 2n) is -2m - 2n - 2.
Explanation:To find the sum of the polynomials (m + n + 3) and (m + n + 4), we simply combine like terms:
(m + n + 3) + (m + n + 4)
= m + m + n + n + 3 + 4
= 2m + 2n + 7.
To find the difference of the polynomials (10m – 6) and (7m – 4), we subtract the second polynomial from the first:
(10m – 6) – (7m – 4)
= 10m - 7m - 6 + 4
= 3m - 2.
Lastly, to find the difference of the polynomials (4m – 5) and (6m – 7 + 2n), we again subtract the second polynomial from the first:
(4m – 5) – (6m – 7 + 2n)
= 4m - 6m + 5 - 7 - 2n
= -2m - 2n - 2.
Given: x + y = 15. Which of the following are ordered pairs of this equation?
Which number(s) below belong to the solution set of the inequality? 11x < 132
(Check all that apply)
A) 6
B) 12
C) 3
D) 10
E) 11
F) 26
Answer:
6, 3, 10 and 11
A, C, D and E are correct options.
Step-by-step explanation:
The given inequality is 11x < 132
Now, divide both sides by 11.
x < 12
Now, from the given options we check, the numbers that are less than 12. All those number should lie in the given solution set.
The numbers 6, 3, 10 and 11 are less than 12.
Hence, the numbers 6, 3, 10 and 11 belongs to the solution set of the given inequality.
A, C, D and E are correct options.
70% of a number is 98.
What is 90% of that same number?
A.
63
B.
68.6
C.
88.2
D.
126
The graph shows the temperature of ice cream in an ice chest during an overnight trip. What is the domain of this function?
The domain is negative 10 through 30.
The domain is all integers from negative 10 through 30.
The domain is all real numbers 0 through 30.
The domain is all integers from 0 through 30.
Let
x-------> the number of hours
y------> the temperature in degrees Fahrenheit
we know that
For [tex]x=0\ hours[/tex]
[tex]y=-10\°\ F[/tex]
For [tex]x=30\ hours[/tex]
[tex]y=30\°\ F[/tex]
The domain of the function is the interval----------> [tex][0,30][/tex]
[tex]0\ hours \leq x\leq 30\ hours[/tex]
The range of the function is the interval----------> [tex][-10,30][/tex]
[tex]-10\°\ F \leq y\leq 30\°\ F[/tex]
therefore
the answer is
The domain is all real numbers 0 through 30
four times daphne's age plus five times isaac's age adds up to 57. also, isaac's age is 11 less than twice daphne's age. how old is isaac?
1) A comet that passes through the solar system just once has a path that is modeled by a conic section. Astronomers discover a comet whose path is modeled by the following equation, with the Sun at one focus. What type of conic section is the comet's path?
x^2/2,500-y^2/37,500=1
2) What are the vertices of the comet's path? (Hint: Examine the general formula for the path and identify the numbers that determine the vertices.)
3) At its closest point to the Sun, this comet is ____ million miles from the Sun. (Enter only the number.)
Hint: Subtract the vertex from the focus
$45.00 for 9 pounds what is the unit rate?
Using the graph below, calculate the average rate of change for f(x) from x = 0 to x = 2.
x = −4
x = −2
x = 2
x = 4
A transversal must intersect two or more parallel lines
true or false
The answer is false.
Translate the percent word problem in a equation: If 5 is increased to 8, the increase is what percent of the original number?
Answer:
The equation that describes the problem "If 5 is increased to 8, the increase is what percent of the original number?" would be
[tex]x=\frac{8-5}{5}*100%[/tex] where x is the percent of increasing of 5 to 8.
Step-by-step explanation:
First it is required to define which is the question, or unknown value. In this case is the percentage of increasing. The x letter is assigned to this unknown.The rest of the provided information is used to setup the function that solves the unknown value. In this case, the original value (5) and the new value (8) are known.Then, it is needed to select the operations that allow the known information to solve the unknown. The subtraction allows to found the absolute increasing in the original value. And a division allows to compare this absolute increasing how much of the original value is, in other words the fraction of increasing.Finally, it is required to multiply by 100%, in order to convert the fraction of increasing into a percentage form.Graph x2 + 9y2 = 25. What are the domain and range?
Someone please help me !
(Picture below)
Answer:
the third graph is correct.
Step-by-step explanation:
domain: -5 ≤ x ≤ 5
range: -1.67 ≤ y ≤ 1.67
The total cost of gasoline varies directly with the number of gallons purchased. Gas costs $1.89 per gallon. Write a direct variation to model the total cost c for g gallons of gas.
Answer:c=1.89g
Step-by-step explanation: gradpoint
The price of a pair of shoes increases from $51 to$69. what is the percent increase to the nearest percent?
Answer:
35%
Step-by-step explanation:
An online music service that customers download an unlimited number of songs for $0.25 each after paying a monthly membership fee of $5 the total amount of money a customer spends on the music in dollars in a single month can be found using the function y equals 0.25 x +5 what does the variable X represent in this function
Will subscribes to a monthly auto magazine. his one year subscription costs $29.97. if he pays for the subscription in 3 equal installments, how much is each payment?
Which one of the following shows the diameter of a circle
The figure which is drawn in option D shows a circle with a diameter.
What is the diameter of the circle?
The diameter of a circle is the distance from one point on the surface of a circle to the other point on the circle's surface, which passes through the center.
What is radius of circle?Radius of a circle is the distance from the center of the circle to any point on it's circumference.
According to the given question
We have, some figures of a circle.
In option A there is no any diameter and radius is drawn for the given circle.
In option B, the given line which is drawn in the circle is the radius of the circle not a diameter. Because " radius of a circle is the distance from the center of the circle to any point on it's circumference.
In option C, there is no any diameter and radius is drawn is the given figure or circle.
In option D, the given line which is drawn in the circle is the diameter of the circle because the distance from one point on the surface of a circle to the other point on the circle's surface, which passes through the center is called diameter.
Learn more about the diameter of a circle here:
https://brainly.com/question/266951
#SPJ2
Name the property illustrated by each question.
5x · (4y + 3x) = 5x · (3x + 4y)
Answer:
The property used here is:
Commutative property of addition
Step-by-step explanation:
Commutative property of addition states that if a and b are any two elements
then, a + b = b + a
We are given a equality we have to determine the property used here
5x · (4y + 3x) = 5x · (3x + 4y)
In the above equation, 4y + 3x = 3x + 4y
a= 4y and b= 3x
Then, a+b=b+a
Hence, the property used above is:
Commutative property of addition
A 4 in. by 5 in. photo is enlarged so that its width (shorter dimension) is 5 in. What is the length of the enlarged photo? 5.25 in. 6 in. 6.25 in. 7 in.
6.25 in Answer:
6.25 in
Step-by-step explanation:
i took the text
Final answer:
The length of the enlarged photo is 6.25 inches.
Explanation:
The question asks for the length of an enlarged photo when its width, the shorter dimension, has been increased from 4 inches to 5 inches. This is a problem of similar rectangles where the aspect ratio must remain constant. In the original photo, the width is 4 inches and the length is 5 inches. As the photo is enlarged, and the new width becomes 5 inches, we must find the new length that keeps the aspect ratio the same.
To find the scale factor, you compare the new width to the original width:
Scale factor = new width / original width = 5 inches / 4 inches = 1.25
To find the new length, multiply the original length by the scale factor:
New length = original length × scale factor = 5 inches × 1.25 = 6.25 inches
Therefore, the length of the enlarged photo is 6.25 inches.
Find f(-7) if f(x) = 2x 8. -6 2 3 22
Answer:I hope this helps you
f (-7)=2. (-7)+8
f (-7)= -14+8
f (-7)= -6
Step-by-step explanation:
The sum of three consecutive odd integers is -27. What are the numbers?
The three consecutive odd integers are [tex]-11, -9,[/tex] and [tex]-7[/tex].
To find three consecutive odd integers whose sum is -27, let's define the three integers as follows:
Let the first consecutive odd integer be [tex]x[/tex].The second consecutive odd integer will be [tex]x + 2[/tex].The third consecutive odd integer will be [tex]x + 4[/tex].According to the problem, the sum of these integers is -27. We can write this as an equation:
[tex]x + (x + 2) + (x + 4) = -27[/tex]
Now, let's simplify and solve the equation step-by-step:
Combine like terms on the left-hand side of the equation:
[tex]x + x + 2 + x + 4 = -27[/tex]
[tex]3x + 6 = -27[/tex]
Subtract 6 from both sides to isolate the term with [tex]x[/tex]:
[tex]3x + 6 - 6 = -27 - 6[/tex]
[tex]3x = -33[/tex]
Divide both sides by 3 to solve for [tex]x[/tex]:
[tex]x = \frac{-33}{3}[/tex]
[tex]x = -11[/tex]
So, the first consecutive odd integer is [tex]-11[/tex].
Find the second consecutive odd integer:
[tex]-11 + 2 = -9[/tex]
Find the third consecutive odd integer:
[tex]-11 + 4 = -7[/tex]
The distance from the library to the park is 0.7 kilometers. how many meters is this?
Answer:
700 is the answer
Step-by-step explanation:
yuo multipy bye the 1000 over 1