Answer:
The owner needs 195 meters of wire
Step-by-step explanation:
If the lot is squared shaped, then its area is given by the formula:
[tex]Area =x^2[/tex]
where x is the side of the square. Then considering the value they provide for the surface, each side must be of length:
[tex]x^2=\frac{4225}{16} \,m^2\\x=\sqrt{\frac{4225}{16}} \,\,m\\x=16.25\,\,m[/tex]
Then the perimeter around this square lot is four times that side length:
Perimeter = 4 (16.25 m) = 65 m
and since the owner wants three rows of wire, the total length of wire needed is:
3 (65 m) = 195 m
Please help...........
Answer:
315.1° (1 d.p.)
Step-by-step explanation:
Please see the attached picture for the full solution.
In 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B. If 70 houses were built in Town A during 210, how many were built in Town B
Answer:
The number of houses built in Town B is 56.
Step-by-step explanation:
We are given that in 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B.
Also, 70 houses were built in Town A during 210.
Let the number of houses built in Town B be 'x'.
So, according to the question;
Number of houses built in Town A = Number of houses built in Town B + 25% of the houses built in Town B
[tex]70 = x + (25\% \times x)[/tex]
[tex]70 = x(1+0.25)[/tex]
[tex]x=\frac{70}{1.25}[/tex]
x = 56
Hence, the number of houses built in Town B is 56.
The total volume of a tree increases 6% each year. What will its volume be after 7 years if its volume is 5 cubic meters now? A. 5(0.06)7 B. 5(7)(0.06) C. 5(1.06)7 D. 5(7)(1.06)
Complete Question:
The total volume of a tree increases 6% each year. What will its volume be after 7 years if its volume is 5 cubic meters now? A. 5(0.06)^7 B. 5(7)(0.06) C. 5(1.06)^7 D. 5(7)(1.06)
Answer:
C. 5(1.06)^7
Step-by-step explanation:
The volume of a tree increases by 7% every year
The formula we would be using is
V(t) = Vo (1 + r)t
Where V(t) = Volume after t years
Vo = Present of initial volume
r = rate of increase
t = time
From the question,
V(t) = Volume after t years = unknown
Vo = Present of initial volume = 5m³
r = rate of increase = 6% = 0.06
t = time = 7 in years
V(t) = 5 × ( 1 + 0.06)^ 7
V(t) =(5)(1.06)^7
Therefore, its volume be after 7 years if its volume is 5 cubic meters now is
Option C: (5)(1.06)^7
Which graph represents this function, f(x)=1/2x-5
Answer:
If I'm not mistaken your graph is supposed to be like this
Step-by-step explanation:
Hope this is correct and helpful
HAVE A GOOD DAY!
what is the value of the digit 6 in the number 48.061?
Answer:
The hundredths place.
Step-by-step explanation:
48 is the whole number, and .061 is the decimals. As you probably know, this is the whole numbers place value.
ones, tens, hundreds, thousand, 10 thousand, 100 thousand, million...ect.
The decimal places are different
in this case the 0 is the tenths
the 6 is the hundredths
and the 1 is the thousandths.
Mostly, the decimal points are just with added ths to the end.
Hope this helped :D
As per the given number, the place value of 6 is that it is at hundredths place.
What is Place Value?Place value is the value assigned to each digit in a number. Depending on its location, each digit in such a number has a unique value. Because a digit's value relies on where it appears in an integer, it is possible for an amount to have two equivalent digits with different values.
The decimal equivalent of 48 is .061. The entire number is 48. This is the entire integer's place value, as you are surely aware.
The decimal places are different
In the given question, the 0 is at tenths place ,6 is the hundredths place and 1 is the thousandths place.
The decimal points are typically only inserted at the end.
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Helppppppppp I need answer❤️❤️❤️
Answer:
c. (3x^2-1)(x-7)
Step-by-step explanation:
=(3x^3-21x^2)+(-x+7)
=-(x-7)+3x^2(x-7)
=(3x^2-1)(x-7)
The area of a rectangular community garden is 200 square feet. The length of a rectangular garden is twice it’s width. Find the length and width of the garden.
PLEASE HELP!!!
Answer:
The length is 20 ft, and the width is 10 ft.
Step-by-step explanation:
area = length * width
Let the width = w
length = 2w
A = LW
A = 2w * w = 200
2w^2 = 200
w^2 = 100
w = 10
L = 2w = 20
The length is 20 ft, and the width is 10 ft.
pleaseer❤️❤️ help me
Answer:
1)D 2)C 3)A 4)B 5) A
Step-by-step explanation:
1) The area rectangle is 36x^2 -1
We know ,
A= l*b
=36x^2 -1
=(6x)^2 -1
=(6x+1) (6x-2)
This the value of l,b respectively.
So, Perimeter of rectangle is 2(l+b)
P=2(6x+1) + 2(6x-1)
=24x
2)The area of square is 4(x+5)^2
We know,
A=l^2
=4(x+5)^2
=4(x^2 + 10x + 25)
=(2x+10)^2
This is the value of l=2x+10.
So, Perimeter of square is 4l
P=4(2x+10)
=8x+40
3)The fully factorized form is
= -2x^2 + 10x +12
= -2x^2 + 12x -2x +12
= -2x(x-6) -2(x-6)
= -2(x-6) (x+1)
4)The fully factorized form is
=x^4 -81
=(x^2)^2 -9^2
=(x^2 + 9) (x^2 - 9)
=(x^2 + 9) (x^2 - 3^2)
=(x^2 + 9) (x + 3) (x - 3)
5)The fully factorized form is
= 5x^4 - 320
= 5(x^4 - 64)
= 5((x^2)^2 - 8^2)
= 5(x^2 + 8) (x^2-8)
Find the other endpoint of the line segment with the given endpoint
and midpoint
Endpoint 1: (9,1)
Midpoint: (1,6)
Endpoint 2= (
Step-by-step explanation:
Let the other endpoint be (x,y)
Since, (1,6) is the midpoint between (9,1) and (x,y)
Therefore,
1=(9+x)/2
=> 2=9+x
=> x= -7
and,
6=(1+y)/2
=>12= 1+y
=> y=11
So, the other endpoint is ( -7, 11)
Answer:
( - 7 , 11)Step-by-step explanation:
Let the coordinates of Endpoint 2 be
(x ,y)
The midpoint of the endpoints is given by
[tex](1,6) = ( \frac{9 + x}{2} , \frac{1 + y}{2} )[/tex]
Where x and y are coordinates of Endpoint 2
Comparing with the midpoint we have
[tex]1 = \frac{9 + x}{2} \\ 2 = 9 + x \\ \\ x = 2 - 9 \\ \\ x = - 7[/tex]
[tex]6 = \frac{1 + y}{2} \\ 12 = 1 + y \\ \\ y = 12 - 1 \\ \\ y = 11[/tex]
Therefore x = - 7 and y = 11
The coordinates of Endpoint 2 are
( - 7 , 11)Hope this helps you
The world's tallest building is the Burj Khalifa in Dubai at 828 m tall. The CN Tower in Toronto is 553 m tall. Ryan wants to compare the Burj Khalifa and the CN Tower by creating rectangular prism models on a 10 cm by 10 cm square base. He has decided to represent the Burj Khalifa with a rectangular prism that has a height of 40 cm. What is the volume of each rectangular prism? Round your answer to the nearest cubic centimetre. Show your work for full marks.
Answer:
Volume of Burj Khalifa Prism = 4000 [tex]cm^2[/tex]
Volume of CN Tower Prism = 2671 [tex]cm^2[/tex]
Step-by-step explanation:
Given
Height of Burj Khalifa = 828 m
Height of CN Tower in Toronto = 553 m
Base of rectangular prism is a square with sides 10 cm [tex]\times[/tex] 10 cm.
Height of Burj Khalifa prism = 40 cm
828 m is represented as 40 cm
[tex]\Rightarrow 553 m[/tex] is represented as [tex]\frac{40}{828 } \times 553 = 26.71\ cm[/tex]
So, height of rectangular prism of CN Tower = 26.71 cm
Volume of a Prism is given by the Formula:
[tex]V=Area\ of\ Base \times Height[/tex]
Base is a square, so Area of base = [tex]Side^2[/tex]
Volume of Burj Khalifa Prism:
[tex]V_B=10^2 \times 40 = 4000\ cm^2[/tex]
Volume of CN Tower Prism:
[tex]V_C=10^2 \times 26.71 = 2671\ cm^2[/tex]
So, the answer is:
Volume of Burj Khalifa Prism = 4000 [tex]cm^2[/tex]
Volume of CN Tower Prism = 2671 [tex]cm^2[/tex]
Bella is going back to school shopping and her favorite store is having a sale. She sees there are 4 packages of 15 tops for $18 and 5 packages of 10 tops for $16 which is the better deal? How do you know
Answer:
The 4 packages of 15 tops for $18 is a better deal
Step-by-step explanation:
We can see which set of tops have the lowest unit price.
4 packages of 15 tops for $18:
4*15=60
There is a total of 60 tops for $18, which means each top costs 18/60 dollars, or $0.30.
5 packages of 10 tops for $16
5*10=50
There is a total of 50 tops for $16, which means that each top costs 16/50 dollars, or $0.32.
0.32>0.3
The 4 packages of 15 tops for $18 is a better deal :)
Have a great day
The length of arcXY is 48cm. What is the circumference of circle Z?
Answer:
C
Step-by-step explanation:
In any circle the following ratios are always equal.
[tex]\frac{arc}{circumference}[/tex] = [tex]\frac{centralangle}{360}[/tex] , thus
[tex]\frac{48}{circum}[/tex] = [tex]\frac{60}{360}[/tex] = [tex]\frac{1}{6}[/tex] ( cross- multiply )
circumference = 6 × 48 = 288 cm → C
The graph of h(x) is a translation of f (x) = RootIndex 3 StartRoot x EndRoot. On a coordinate plane, a cube root function goes through (negative 3, negative 1), has an inflection point at (negative 2, 0), and goes through (negative 1, 1). Which equation represents h(x)?
Answer:
The correct option is;
[tex]h(x) = \sqrt[3]{x + 2}[/tex]
Step-by-step explanation:
Given that h(x) is a translation of f(x) = ∛x
From the points on the graph, given that the function goes through (-1, 1) and (-3, -1) we have;
When x = -1, h(x) = 1
When x = -3, h(x) = -1
h''(x) = (-2, 0)
Which gives
d²(∛(x + a))/dx²= [tex]-\left ( \dfrac{2}{9} \cdot \left (x + a \right )^{\dfrac{-5}{3}}\right )[/tex], have coordinates (-2, 0)
When h(x) = 0, x = -2 which gives;
[tex]-\left ( \dfrac{2}{9} \cdot \left (-2 + a \right )^{\dfrac{-5}{3}}\right ) = 0[/tex]
Therefore, a = (0/(-2/9))^(-3/5) + 2
a = 2
The translation is h(x) = [tex]\sqrt[3]{x + 2}[/tex]
We check, that when, x = -1, y = 1 which gives;
h(x) = [tex]\sqrt[3]{-1 + 2} = \sqrt[3]{1} = 1[/tex] which satisfies the condition that h(x) passes through the point (-1, 1)
For the point (-3, -1), we have;
h(x) = [tex]\sqrt[3]{-3 + 2} = \sqrt[3]{-1} = -1[/tex]
Therefore, the equation, h(x) = [tex]\sqrt[3]{x + 2}[/tex] passes through the points (-1, 1) and (-3, -1) and has an inflection point at (-2, 0).
Answer: B
Step-by-step explanation:
(Tough day dividing polynomials and I'm still lost!) Please help me my hands are legit numb:)
Answer:
Option D. 9
Step-by-step explanation:
There are two ways to obtain the answer to the question.
Method 1:
Let 2x + 1 = 0
Making x the subject, we have
2x + 1 = 0
Collect like terms
2x = –1
Divide both side by 2
x = –1/2
Now, put the value of x into the expression 4x³ – 6x² – 8x + 7, we have:
4x³ – 6x² – 8x + 7
x = –1/2
4(–1/2)³ – 6(–1/2)² – 8(–1/2) + 7
4(–1/8) – 6(1/4) – 8(–1/2) + 7
–1/2 – 3/2 + 4 +7
– 4/2 + 4 + 7
– 2 + 4 + 7
= 9
Method 2:
Divide 4x³ – 6x² – 8x + 7 by 2x + 1
Please see attached photo for explanation.
Financial Math
What’s the answer??
[No guessing]
In the given formula n is the number of years the loan is out for.
The answer would be C.
Answer:
[tex]\boxed{\sf C}[/tex]
Step-by-step explanation:
The formula for the payment on a loan is given:
[tex]\displaystyle P=PV \cdot \frac{i}{1-(1+i)^{-n}}[/tex]
n would represent the number of periods or years it will take to pay the loan back.
If ∆ABC ≅ ∆DEF, which one of these is a pair of corresponding parts
Answer:
AB = DE
BC = EF
AC = DF
∠ABC = ∠ DEF
∠BAC = ∠EDF
∠BCA = ∠EFD
Step-by-step explanation:
As its congruent all the corresponding parts will be equal
Use zero product property to solve.
F(x)=3x(2x-6)
Answer:
x=0 x=3
Step-by-step explanation:
F(x)=3x(2x-6)
Set equal to zero
0 =3x(2x-6)
Using the zero product property
3x =0 2x-6 =0
x =0 2x = 6
x = 6/2
x = 3
Answer:
x = 0 or x = 3
Step-by-step explanation:
Set the output to 0
0 = 3x(2x-6)
Set factors equal to 0.
3x = 0
x = 0
2x - 6 = 0
2x = 6
x = 3
PLEASE HELP I WILL MARK BRAINLIEST RIGHT AWAY!!!
Answer:
C
Step-by-step explanation:
The slope formula is y^2 - y^1 over x^2 - x^1
hope this helps!
also the answer is just the inverse of that answer
Kini and Duke are each working during the summer to earn money in addition to their weekly allowance, and they are saving all of their money. Kini earns $9 an hour at her job, and her allowance is $8 per week. Duke earns $7.50 an hour, and his allowance is $17 per week. How many hours do Kini and Duke need to work in order to save the same amount of money in one week?
Answer:
Step-by-step explanation:
9x + 8 = 7.5x + 17
1.5x = 9
x = 6 hours
what is the value of 3cubed
Answer:
27
Step-by-step explanation:
3 cubed=3✖️3✖️3=27
Answer:
3³ = 3 × 3 × 3 = 9 × 3 = 27
Hope this helps you
The sum of two numbers is 29. If the
larger number is 2 less than three times
the smaller number, what is the smaller
number.
Answer: 7
Step-by-step explanation:
The smaller number is 7.75.
What is an Equation?An equation is a mathematical statement formed when two expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, quadratic equations.
The system of equations are used to solve complex problems.
Let the smaller number is x.
The larger number is 2 less than three times the smaller number
Then the larger number is 3x -2
The sum of the two numbers is 29
The sum is the output of the mathematical operation, Addition.
The equation formed is :
3x -2 + x = 29
Grouping the variables and the constants
4x = 31
Dividing both side of the equation by 4
x = 7.75
The value of the smaller number is obtained.
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Bella's back garden deck cost ₹5,391.47 per square metre to build. The deck is 11 metres wide and 12 metres long. How much did it cost to build the deck ...? brainliest as well as thanks also pleaase
Answer:
₹711,674.04
Step-by-step explanation:
1.firstly we need to solve for the total area of Bella's back garden deck.
2. Then we need to estimate mate the total cost of the garden given that a square metre cost ₹5,391.47 to build.
Given
length of garden = 12 metres
width of garden = 11 metres
Hence the area of the garden is given as
[tex]Area= length* width[/tex]
[tex]Area = 12*11= 132m^2[/tex]
if a square metre cost ₹5,391.47 to build.
132 square metre will cost= ₹5,391.47*132= ₹711,674.04
? Question
Type the correct answer in each box. Round your answers to one decimal place.
Use the function g(x) = 4(0.6)¥ to complete the table and find the y-intercept.
Answer:
-10=661.5
-1=6.7
0=4.0
1=2.4
2=1.4
8=0.1
(0,4)
Step-by-step explanation:
The y intercept is (0,4)
What is a Function?A function is a law that relates a dependent and an independent variable.
The function is g(x) = 4 (0.6)ˣ
The table shows the value of x
The value of g(x) at different value of x is
At x = -10
g(x) = 661.5
At x = -1
g(x) = 6.7
At x = 0
g(x) = 4
At x = 1
g(x) = 2.4
At x = 2
g(x) = 1.4
At x = 8
g(x) = 0.1
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-4______1 what symbol makes this sentence true
Answer:
<
Step-by-step explanation:
The location of a dolphin in relation to the surface of the sea, h(x), over time, x, in seconds, for 5 seconds can be modeled by a cubic function. Each of the following functions is a different form of the cubic model for the situation given above. Which form would be the most helpful if attempting to determine the time it takes for the dolphin to re-enter the sea after leaping out of the water? h(x) = 2x2(x - 11) + 4(17x - 12) h(x) = 2x(x2 - 11x + 34) - 48 h(x) = 2(x - 1)(x - 4)(x - 6) h(x) = 2x3 - 22x2 + 68x - 48
Answer:
The most helpful function in an attempt to determine the time it takes for the dolphin to re-enter is h(x) = 2·(x - 1)·(x - 4)·(x - 6)
Step-by-step explanation:
For 2·x²·(x - 11) + 4·(17·x - 12)
h(5) = 2×5^2×(5 - 11) + 4×(17×5 - 12) = -8
For the function h(x) = 2·x·(x² - 11·x + 34) -48 we have;
h(5) = 2×5×(5^2 - 11×5 + 34) -48 = -8
For the function h(x) = 2·(x - 1)·(x - 4)·(x - 6) we have;
h(5) = 2×(5 - 1)×(5 - 4)×(5 - 6) = -8
For the function h(x) = 2·x³ - 22·x² + 68·x -48 we have;
h(5) = 2×5^3 - 22×5^2 + 68× 5 - 48 = -8
Given that the values of the function are all equal at x = 5, the function that will be most helpful in determining the time it takes for the dolphin to re-enter the sea after leaping out of the water is the function that is already factorized
Thereby where the value of the function h(x) at which the dolphin re-enters the the sea is h(x) = 0, we have the function h(x) = 2·(x - 1)·(x - 4)·(x - 6), readily gives the time values, x, as x = 1 second or 4 second or 6 second, therefore, the most helpful function is h(x) = 2·(x - 1)·(x - 4)·(x - 6).
Identify the expression equivalent to 4(x+ x + 7) - 2x+8 - 4 by substituting x = 1 and x = 2.
O A.
6x + 11
OB.
3(x + 7)
OC. 2(3x + 16)
OD.
3x + 16
Answer:
C. 2(3x + 16)
Step-by-step explanation:
If we replace x by 1 in the expression, we get:
4(1+ 1 + 7) - 2(1) + 8 - 4 = 4(9) - 2 + 8 - 4 = 38
If we replace x by 2 in the expression, we get:
4(2+ 2 + 7) - 2(2) + 8 - 4 = 4(11) - 4 + 8 - 4 = 44
Then, if we replace x=1 and x=2 on expression A, we get:
6x+11 = 6(1) + 11 = 17
6x + 11 = 6(2) + 11 =23
if we replace x=1 and x=2 on expression B, we get:
3(x + 7) = 3(1 + 7) = 24
3(x + 7) = 3(2 + 7) = 27
if we replace x=1 and x=2 on expression C, we get:
2(3x + 16) = 2(3(1) + 16) = 38
2(3x + 16) = 2(3(2) + 16) = 44
if we replace x=1 and x=2 on expression D, we get:
3x + 16 = 3(1) + 16 = 19
3x + 16 = 3(2) + 16 = 22
Finally, the answer is C, because we get the same answers as in the initial equation
The table below shows the students in an Algebra 1 class. What is the probability that a randomly chosen student will be a girl GIVEN that the student does NOT own a graphing calculator? (Note: If your fraction will reduce, you need to reduce it.)
Answer:
6/13
Step-by-step explanation:
Of the 13 students who do not own a graphing calculator, 6 are girls. The probability is 6/13.
Please Help Asap!!! Will give brainiest if answered correctly with explanation.
Answer:
HL and SAS
which agrees with the third option listed among your options
Step-by-step explanation:
Notice that you have two triangles (see attached image) which have a common side (marked in blue), sides YW and YZ (marked in green) congruent, and the angle in between also congruent.
Therefore we have two postulates than can be applied to prove that the triangles YWX and YXZ are congruent:
HL postulate : "congruent hypotenuse and a corresponding congruent leg " that corresponds to hypotenuses YW and YZ, and congruent leg which is the common segment YX.
and:
SAS postulate: "two sides and the included angle" which corresponds to sides YW, YX, and angle WYX on one triangle, and sides YX, YZ, and angle XYZ in the other triangle
find x3 -y3,if x-y=5 and xy=14
Answer:
335
Step-by-step explanation:
Factor the given binomial:
x - y = 5
xy = 14
x = y + 5
(y + 5)y = 14
y^2 + 5y - 14 = 0
(y + 7)(y - 2) = 0
y = -7 or y = 2
y = -7
xy = 14
-7x = 14
x = -2
y = 2
2x = 14
x = 7
Solutions:
x = -2, y = -7
x = 7, y = 2
For x = -2, y = 7
x^3 - y^3 =
= (-2)^3 - (-7)^3
= -8 - (-343)
= 335
For x = 7, y = 2
x^3 - y^3 =
= 7^3 - 2^3
= 343 - 8
= 335
Find the greatest number of children to whom 125 pens 175 pencil can be divided equally.
Answer:
25 children
So , each child will get 25 pens and 7 pencils
You have to find the highest common factor of 125 and 175 which is 25 and then you have to multiply it by those two numbers to find how may pens and pencils will be given to 1 child
Hope this helps and pls mark as brianliest :)