Answer:
length = 42 mperimeter = 168 mStep-by-step explanation:
A squared garden has area 1764m2. Find its length and perimeter?
Area = l²
inverse formulal = √Area
length√1764 = 42 m
Perimeter l × 442 * 4 = 168 m
Answer:
length=42m
perimeter=168m
Step-by-step explanation:
Area=L^2
L^2=1764
L=√1764
L=42m
Perimeter=42+42+42+42 which equals to 168m
69. REAL-WORLD APPLICATIONS
A gym membership with two personal training sessions costs $125, while gym membership with five personal training sessions costs $260. What is cost per session?
Answer:
Cost of per session the average rate is $45.
Step-by-step explanation:
It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.
It is required to find what is the cost per session.
Step 1 of 1
It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.
To find the cost of per session calculate the average rate.
Now let $f(x)$ be the cost per session use the for the average rate of change, and the input value is the number of personal traings x.
[tex]$m=\frac{f\left(x_{2}\right)-f\left(x_{1}\right)}{x_{2}-x_{1}}$$[/tex]
Now substitute, $125 for [tex]$f\left(x_{2}\right)[/tex], 260 for [tex]$f\left(x_{1}\right), 2$[/tex] for [tex]$x_{1}$[/tex] and 5 for [tex]$x_{2}$[/tex] then,
[tex]$m=\frac{260-125}{5-2}$\$$\begin{aligned}&=\frac{135}{3} \\&=45\end{aligned}$$[/tex]
Cost of per session the average rate is $45.
Analyze the graph of the function f(x) to complete the statement.
On a coordinate plane, a curved line, labeled f of x, with a minimum value of (0, negative 3) and a maximum value of (negative 2.4, 17), crosses the x-axis at (negative 3, 0), (negative 1.1, 0), and (0.9, 0), and crosses the y-axis at (0, negative 3).
f(x)<0 over and what other interval?
The function f(x) is less than 0 at x < -1.8
How to analyze the graph?The missing graph is added as an attachment
The interval where f(x) < 0 are the intervals where the y value of the function is less than 0.
This in other words, represent the negative y-axis
From the attached graph, the function f(x) is less than 0 at x < -1.8.
This extends till x = infinity
Hence, the function f(x) is less than 0 at x < -1.8
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how do i find the slope of the line containing ordered paid? A(2,-5), B(-2,6)
The slope of the given containing ordered paid A(2,-5) and B(-2,6) is -11/4.
What is Slope?A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
slope = (y₂-y₁)/(x₂-x₁)
The slope of the given containing ordered paid A(2,-5) and B(-2,6) is:
Slope = 6+5/-2-2 = 11/-4
Hence, the slope of the given containing ordered paid A(2,-5) and B(-2,6) is -11/4.
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GEOMETRY QUESTION HELP ASAP THANK YOU)
(The question is on the picture below)
Answer:
The ANSWER is Option A ( 151° ).
.
.
Mark BRAINLIEST!
Which of the following expressions represents the given algebraic tiles
The expression that represents the given algebraic tiles is 2x² + 6x + 6
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The expression for the given algebraic tiles is:
Total = x + x + x + 1 + 1 + 1 + x² + x + x + x + 1 + 1 + 1 + x² = 2x² + 6x + 6
The expression that represents the given algebraic tiles is 2x² + 6x + 6
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help me please 10 points
Answer:
150 square feet
Step-by-step explanation:
Method 1: The area of a trapezoid is
A = (8 + 17) / 2 x 12 = 150 square feet
Method 2: You can also split it into a rectangle and a triangle.
12 x 8 + 12 x (17 - 8)/2 = 150 square feet
im not sure how to solve this question ???
Answer:
Part A) B
Part B) D
Step-by-step explanation:
Given:Total sweets = 10
Red = 4
Green = 2
Yellow = 3
Purple = 1
A = 2/10 = 1/5
B = 3/10
C = 4/10 = 2/5
D = 1
Solution:Part A)Yellow sweets = 3
Total = 10
Probability = yellow/total
Probability = 3/10Hence, B shows the probability of showing a yellow sweet.
Part B)Sweets that are not orange = 10 (All sweets are not orange)
Total = 10
Probability = sweets that are not orange / total
Probability = 10 / 10
Probability = 1Hence, D shows the probability of choosing a sweet that is not orange.
[tex]\rule[225]{225}{2}[/tex]
The value of a car depreciates at a rate of 15% per year. When brand new the car is worth £42000 How much will it be worth 2 years later?
Answer:
£ 30 345.
Step-by-step explanation:
15 % off means that 85% is left
42 000 * .85 * .85 = 42 000 (.85)^2 = 30 345
Describe a relationship modeled by the function [tex]f(x) = 4x^3 - 72x^2 + 320x[/tex], and explain how the function models the relationship.
Then, identify and interpret the key features of the function in the context of the situation described in part A.
(Describe a relationship that could be modeled by the given function. There is no single correct answer: any scenario that fits the function type is correct.)
The relationship modeled that has the function of f(x) = 4x³ - 72x² + 320x is known to be the volume of a right prism that has its dimensions to be : 4 times of its desired length, 10 units lower that its desired length, and 8 units lower than its desired length.
What is the volume of the prism about?For us to know the relationship modeled by the above function, the best way to do it is for one to factor it.
The function is: f(x) = 4x³ - 72x² + 320x
First. we factor it so as to extract the common factor 4x:
Secondly, we factor the quadratic trinomial.
This is often done by writing it as a product of two binomials where the two constant terms are said to be sum up - 18 and its product is said to be 80.
The above terms are known to be -10 and - 8; so the two factors are said to be (x - 10) and (x - 8).
Therefore The relationship modeled that has the function of f(x) = 4x³ - 72x² + 320x is known to be the volume of a right prism that has its dimensions to be : 4 times of its desired length, 10 units lower that its desired length, and 8 units lower than its desired length.
Where it has :
x = the desired length,
4x = 4 times its desired length,
x - 10 = 10 lower than its desired length,
x - 8 = 8 lower than its desired length,
We can therefore say that the volume of the prism is said to be the product of the three factors which are:
V = (4x)(x-10)(x-8)
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What is the decimal expansion of the following fraction? 1/2
Answer:
the answer is 0.5
Step-by-step explanation:
The answer for this is 0.5
Find all the possible values of tan^-1 1
The possible values of tan^-1(1) are (3π + 4n)/4
How to determine the possible values?The expression is given as:
tan^-1(1)
To determine the possible values, we plot the graphs of
y = tan(x) and y = 1
From the graph, we have the following values
tan^-1(1) = (3π + 4n)/4 when n = ±{0,1,2....}
Hence, the possible values of tan^-1(1) are (3π + 4n)/4
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anyone know how to answer this?
Calcular el area de un pentagono regular de 10 centimetros de lado
el área del pentágono es de 172 centímetros cuadrado.
¿Qué es Área?El área es el espacio ocupado por un objeto bidimensional.
Se calcula en unidades cuadradas.
Se da que , El lado del pentágono mide 10 centímetros
El área del pentágono está dada por
[tex]\rm A = \dfrac{1}{4} \sqrt {5 ( 5 +2\sqrt{5})} \; a^2[/tex]
aquí A es el área
l es la longitud del lado del pentágono
Sustituyendo los valores
[tex]\rm A = \dfrac{1}{4} \sqrt {5 ( 5 +2\sqrt{5})} \; 10^2[/tex]
A = 1.72 * 100
A = 172 centímetro cuadrado
Por lo tanto, el área del pentágono es de 172 centímetros cuadrado.
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Which expressions are equivalent to 22c + 33d
An expression is defined as a set of numbers, variables, and mathematical operations. The correct options are A, C, and E.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
To know the expressions that are equivalent to 22c+33d, all the expressions in the options are needed to be simplified.
Let simplify each of the given opion,
A.) (−2c−3d)(−11) = 22c + 33d
B.) 2(11c− 33/2) d = 22c - 33d
C.) (66c+99d)⋅1/3 = 22c + 33d
D.) −1×(−22−33d) = 22 + 33d
E.) 11⋅(2c+3d) = 22c + 33d
Hence, the correct options are A, C, and E.
The complete question is:
Which expressions are equivalent to 22c + 33d?
A. (−2c−3d)(−11)
B. 2(11c− 33/2 d
C. (66c+99d)⋅1/3
D. −1×(−22−33d)
E. 11⋅(2c+3d)
choose 3 answers
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Every summer, Richard plants a garden on a rectangular plot of land. Last summer, Richard's garden measured 45 feet in length and 18 feet in width. This summer, Richard decides to resize his garden by decreasing the length of the garden, and increasing the width of the garden by two times the length reduction. The area of this year's garden, A(x), can be modeled by a quadratic function, where x is the number of feet that the length is reduced. What is the maximum potential area of this year's resized garden?Every summer, Richard plants a garden on a rectangular plot of land. Last summer, Richard's garden measured 45 feet in length and 18 feet in width. This summer, Richard decides to resize his garden by decreasing the length of the garden, and increasing the width of the garden by two times the length reduction. The area of this year's garden, A(x), can be modeled by a quadratic function, where x is the number of feet that the length is reduced. What is the maximum potential area of this year's resized garden?
The quadratic function is A(x) = 2(405 + 36x – x²). Then the maximum potential area of this year's resized garden will be 1458.
What is the maximum and minimum value of the function?The condition for the maximum will be
f(x)'' < 0
The condition for the minimum will be
f(x)'' > 0
Every summer, Richard plants a garden on a rectangular plot of land.
Last summer, Richard's garden measured 45 feet in length and 18 feet in width.
This summer, Richard decides to resize his garden by decreasing the length of the garden, and increasing the width of the garden by two times the length reduction.
The area of this year's garden, A(x), can be modeled by a quadratic function, where x is the number of feet that the length is reduced.
Length = (45 – x)
Width = (18 + 2x)
Then the maximum potential area of this year's resized garden will be
A(x) = (45 – x)(18 + 2x)
A(x) = 810 + 72x – 2x²
A(x) = 2(405 + 36x – x²)
For maximum potential, A'(x) = 0
A'(x) = 0
36 - 2x = 0
2x = 36
x = 18
Then the maximum potential area will be
A(x) = 2(405 + 36 × 18 – 18²)
A(x) = 1458
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Find the equation of a circle whose center is at (-3, 7) and radius is 9 units.
Answer:
(x + 3)² + (y - 7)² = 81
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
here (h, k ) = (- 3, 7 ) and r = 9 , then
(x - (- 3) )² + (y - 7)² = 9² , that is
(x + 3)² + (y - 7)² = 81
Answer:
[tex]x^2+y^2+6x-14y-23=0[/tex]
Step-by-step explanation:
[tex](x-(-3))^2+(y-7)^2=9^2\\x^2+6x+9+y^2-14y+49=81\\x^2+y^2+6x-14y-23=0[/tex]
find the area of the following figure..
Answer:
456 [tex]cm^{2}[/tex]
Step-by-step explanation:
Find the height of the trapezoid first (QR):
[tex]\sqrt{37^{2} -35^{2} }[/tex] = 12
QR = 12
Area:
[tex]\frac{a+b}{2}[/tex] × h = [tex]\frac{35+41}{2}[/tex] × 12
= 456 [tex]cm^{2}[/tex]
Please.. Given the image below, DY,EY ,FY are perpendicular bisectors of △ABC. So, 30.11=
a) FY
b) YE
c) EB
d) DY
e) cannot be determined
Answer:
e) cannot be determined
Step-by-step explanation:
hope this helps!!
Simplify : i) (〖6x〗^2+x-7)/(12x^2+14x)
An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of the expression [(6x)²+x-7)/(12x²+14x) is (36x²+x-7)/[2(6x²+7x)].
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The simplification of the given expression can be done as,
[tex]\dfrac{(6x)^2+x-7}{12x^2+14x}\\\\\\=\dfrac{36x^2+x-7}{12x^2+14x}\\\\\\=\dfrac{(6x)^2+x-7}{2(6x^2+7x)}[/tex]
Hence, the simplification of the expression [(6x)²+x-7)/(12x²+14x) is (36x²+x-7)/[2(6x²+7x)].
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if an equilaterl triangle is inscribed in a circle of a radius 8cm.then what is the area of the triangle?
The area of the triangle is 83.14 square centimeters.
How to get the area of the triangle?If an equilateral triangle is inscribed in a circle of radius R, each side of the triangle measures:
S = R*√3
In this case R = 8cm.
And we know that the area of an equilateral triangle of side length S is:
[tex]A = \frac{\sqrt{3} }{4} *S^2[/tex]
Replacing what we know in the area formula:
[tex]A = \frac{\sqrt{3} }{4} *(\sqrt{3}*8cm)^2 = 83.14 cm^2[/tex]
The area of the triangle is 83.14 square centimeters.
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i need help on question 32 for algebra
Answer:
d. 40 feet
Step-by-step explanation:
Perimeter = 140 ft
Width = L + 10
P = 2w + 2L
140 = 2(L + 10) + 2L
140 = 2L + 20 + 2L
120 = 4L
L = 30
w = L + 10
w = 30 + 10
w = 40
Find the area of a circle with radius, r = 5.64m.
Give your answer rounded to 2 DP.
r
The diagram is not drawn to scale.
Answer:
99.93 [tex]m^{2}[/tex]
Step-by-step explanation:
1. The area of a circle is defined by the equation: A = [tex]\pi r^{2}[/tex]
2. We can plug in the radius and solve the equation: A = [tex]\pi *5.64^{2}[/tex]
3. A = π * 31.8096
4. A = 99.932
5. A = 99.93
The minimun point on the graph of the equation y=f(x) is -1,-3. What is the minimum point on the graphof the equation y=f(x-5)
The minimum point on the graph of the equation y=f(x-5) is (-6, -3)
How to determine the minimum?The initial minimum is given as:
(-1, -3)
The transformation y = f(x - 5) means that:
(x, y) = (x - 5, y)
So, we have:
(x, y) = (-1 - 5, -3)
Evaluate
(x, y) = (-6, -3)
Hence, the minimum point on the graph of the equation y=f(x-5) is (-6, -3)
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P=(\frac{\sqrt{x} +2}{x-1}+\frac{\sqrt{x}\\ -2}{x-2\sqrt{x} +1} ) : \frac{4x}{(x-1)^{2} }
The solution to the division of the given surd is: [tex]\mathbf{P =\dfrac{(6\sqrt{x}-x^2\sqrt{x}-3x\sqrt{x}+2x+2)(x-1) }{8x} }[/tex]
Division of Surds.The division of surds follows a systemic approach whereby we divide the whole numbers separately and the root(s) are being divided by each other.
Given that:
[tex]\mathbf{P=(\frac{\sqrt{x} +2}{x-1}+\frac{\sqrt{x}\\ -2}{x-2\sqrt{x} +1} ) : \frac{4x}{(x-1)^{2} }}[/tex]
i.e.
[tex]\mathbf{=\dfrac{(\frac{\sqrt{x} +2}{x-1}+\frac{\sqrt{x}\\ -2}{x-2\sqrt{x} +1} )}{ \frac{4x}{(x-1)^{2} }} }[/tex]
Using the fraction rule:
[tex]\mathbf{\dfrac{a}{\dfrac{b}{c}}= \dfrac{a\times c}{b}}[/tex]
[tex]\mathbf{\implies \dfrac{(\frac{\sqrt{x} +2}{x-1}+\frac{\sqrt{x}\\ -2}{x-2\sqrt{x} +1} )(x-1)^{2}}{4x}} }[/tex]
By simplification, we have:
[tex]\mathbf{ =\dfrac{\dfrac{(6\sqrt{x}-x^2\sqrt{x}-3x\sqrt{x}+2x+2)(x-1) }{2} }{4x} }[/tex]
[tex]\mathbf{P =\dfrac{(6\sqrt{x}-x^2\sqrt{x}-3x\sqrt{x}+2x+2)(x-1) }{8x} }[/tex]
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Which scatterplot shows no correlation?
A graph with both axes unnumbered. A scattered line increases from left to right.
A graph with both axes unnumbered. A scattered line decreases from left to right.
A graph with both axes unnumbered. A short scattered line increases from left to right.
A graph with both axes unnumbered. A line zig zags up and down the graph.
Answer:
The graph has random dots all over
Step-by-step explanation:
please help me!!!!!!!!!!!!!!
20 POINTS
Answer:
The Area of the Grass is 18 square meters.
Step-by-step explanation:
Find the area of the grass and sand (5*6). The area of the grass and sand is 30.
Next, find the area of just the sand (3*4). The area of the sand is 12.
Subtract the area of the sand (12) from the area of the grass and sand (30).
30-12 = 18
go 5
U
12 x 9
18
11
17
how do I solve this
Answer:
6/17
Step-by-step explanation:
12/18 * 9/17
use 9 to divide 18 u'll be left with
12/2 * 1/17
use 2 to divide 12 u'll be left with
6/1 * 1/17
now u'll multiply leaving you with
6/17 as the final answer or u can also convert to decimal your answer will be
0.352 by approximation.
Hope this helps please mark me BRAINLIEST
Sam opened a savings account with $400. He earns $1,640 a
month at his job and will deposit 3% of his monthly pay every
month into his new savings account. Assuming he doesn't
withdraw money from his savings account, which equation shows
the balance y of his savings account x months after he opened it?
y = 12x + 400
y = 400x + 1640
y = 49.2x + 400
y = 0.03x + 400
Answer:
y = 49.2x+400
Step-by-step explanation:
He deposits 3% of his monthly pay = 0.03*1640 = $49.2 every month = 49.2x
He put $400 when he opened the account so that needs to be added in = 49.2x+400
Mr. Johns gave a test last week and Ginny missed one question. She answered that 14.5 people would ride on each bus rather than 15. Her parents would like a conference because she did the math problem correctly and should receive credit even though her answer was not reasonable. How should Mr. Johns handle this situation
Mr. Johns handle this situation to Agree to meet, listen to their concerns, and then explaining that one component of math is understanding reasonable answers.
Mr. Johns gave a test last week and Ginny missed one question. She answered that 14.5 people would ride on each bus rather than 15. Her parents would like a conference because she did the math problem correctly and should receive credit even though her answer was not reasonable.
Mr. Johns handle this situation to Agree to meet, listen to their concerns, and then explain that one component of math is understanding reasonable answers.
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hi I have no idea how to do this question :)
Answer:
A. 36
Step-by-step explanation:
Because the two angles at the bottom of both the triangles are congruent, the two triangles are similar. Therefore, the corresponding side lengths of the triangles must be proportional to each other
if the area of a triangle is hb/2,
(with h=length of height, b=length of base)
the height of the first triangle is:
25 = 10h/2
50 = 10h
h=5
you can write ratios representing the proportions of the two triangles:
5/x = 10/12 (with x=height of second triangle)
x=6
then find the area of the second triangle with the height (6) and base (12)
(6*12)/2 = 36