The total cost of fencing the garden will be 3x+200 where x is the perimeter of garden that is variable according to the length and breadth of the garden.
What is length?Distance is measured in length. Length has the dimension of distance in the International System of Quantities. The majority of measurement systems choose a base unit for length from which all other units are derived. The metre serves as the foundational unit of length in the International System of Units.
What is Perimeter?A closed path that encompasses, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.
Here,
Let x be the perimeter to be fenced.
the cost is 3 rupees per meter.
so the equation will be= 3x+200
The total cost of fencing the garden will be 3x+200, where x is the garden's perimeter and is dependent on the garden's length and width.
To know more about perimeter,
https://brainly.com/question/6465134?referrer=searchResults
#SPJ13
What is the scale factor that takes circle m to circle n? Solve on paper if you need to. Then, enter your answer on Zearn
The scale factor which takes circle m to circle n as depicted in the attached image is; 3.
What is the scale factor that takes circle m to circle n as required?It follows from the task content that the scale factor which takes circle m and transforms it to circle n is to be determined.
Hence, since both circles have the same center, the center can be taken as a point of reference.
Therefore, the distances between the center of the circles m and n to any point on their circumferences are; 3 units and 9 units respectively.
On this note, since circle n is; 9/3 = 3 times as large as circle m, it follows that the required scale factor is; 3.
Read more on scale factor;
https://brainly.com/question/25722260
#SPJ1
a 17 foot ladder is leaning against a wall. if the top slips down the wall at a rate of 2 ft/s, how fast will the foot be moving away from the wall when the top is 13 feet above the ground?
The foot will be moving at a rate of 2.373 ft/s away from the wall when the top is 13 feet above the ground.
From the question, we have the following;
Hypotenuse=17 foot
Height(y)=13 feet
Base(x)=(17^2-13^2)^1/2
=120^1/2 or sqrt(120)
The ladder against the wall is a right angle triangle, so we have:
x^2+y^2=17^2
x^2+y^2=289
Top slips down at 2ft/s
dy/dt=-2 ft/s, where height (y)=13ft
The foot will be moving horizontally(x), along the x axis, to find how fast the foot will be moving, we find dx/dt
Now, we take the derivative with respect to time:
=x^2+y^2=17^2
=2x(dx/dt)+2y(dy/dt)=0
Substitute the known values, y=13, x=sqrt(120), z=17, dy/dt=-2 ft/s
2(sqrt(120))(dx/dt)+2(13)(-2)=0
2(sqrt(120))(dx/dt)-52=0
We solve for dx/dt:
dx/dt=52/(2sqrt(120))
dx/dt=52/21.9089
dx/dt=2.373 ft/s
Learn more about motions on the ladder here:
https://brainly.com/question/15733869
#SPJ4
what is ( -8.7) times (-10)?
Answer:
87
Step-by-step explanation:
Answer:87
Step-by-step explanation:
x^2+6x+? complete the square
Answer:
+ 9
Step-by-step explanation:
x²+ 6x
to complete the square
add ( half the coefficient of the x- term )² to x² + 6x
x² + 2(3)x + 3²
= x² + 6x + 9
= (x + 3)² ← a perfect square
Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the House blend with the Organic Free Trade blend, but always in the same proportion. Yesterday, you mixed 140 pounds of the House blend with 168 pounds of the Organic Free Trade blend. Today, there is 130 pounds of the House coffee left in stock. How many pounds of the Organic Free Trade coffee should you mix with it to get your secret blend?
The ratio House blend/Organic Free Trade blend is the same and must remain the same.
So, the proportion is:
[tex]\frac{140}{168}=\frac{130}{x}[/tex]Where x is the unknown amount of the Organic Free Trade blend.
So, from the proportion, we have:
[tex]\begin{gathered} 140\cdot x=168\cdot130 \\ 140x=21840 \\ \frac{140x}{140}=\frac{21840}{140} \\ x=156 \end{gathered}[/tex]Answer: 156 pounds of Organic Free Trade blend
Please helppp as fast as possible
FIND THE DOMAIN & RANGE OF THE FUNCTION
g(x)=|x + 4|
Please helppp as fast as possible
THE DOMAIN & RANGE OF THE FUNCTION g(x)=|x + 4| is
Domain: [tex]$(-\infty, \infty),\{x \mid x \in \mathbb{R}\}$[/tex]Range: [tex]$[0, \infty),\{y \mid y \geq 0\}$[/tex]This is further explained below.
What is the domain?Generally, The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
[tex](-\infty, \infty)[/tex]
Set-Builder Notation:
[tex]$\{x \mid x \in \mathbb{R}\}$[/tex]
The range is the set of all valid y values. Use the graph to find the range.
Interval Notation:
[tex]$[0, \infty)$[/tex]
Set-Builder Notation:
[tex]$\{y \mid y \geq 0\}$[/tex]
Determine the domain and range.
Domain: [tex]$(-\infty, \infty),\{x \mid x \in \mathbb{R}\}$[/tex]
Range: [tex]$[0, \infty),\{y \mid y \geq 0\}$[/tex]
Read more about Domain
https://brainly.com/question/28135761
#SPJ1
in 15 of the 100 trials of the simulation none of the 10 passengers chosen was seated in first class. does this result provide convincing evidence that the tsa officers did not carrry out a truly random samplw?
The result provides convincing evidence that the tsa officers did not carrry out a truly random sample.
What is a random sample?A simple random sample is a subset of a statistical population in which each member has an equal chance of being selected.
In statistics, a simple random sample is a subset of individuals picked at random from a larger set, with all individuals having the same probability. It is the process of selecting a sample at random.
In this case, it's important to note that the fact that all the people chosen were first class members means that it was bias and not a random sampling.
Learn more about sampling on:
https://brainly.com/question/24466382
#SPJ1
Solve for u.u^2-u-12=0If there is more than one solution, separate them with commas.If there is no solution, click on "No solution."
we have the quadratic equation
[tex]u^2-u-12=0[/tex]we have that
a=1
b=-1
c=-12
Applying the formula to solve a quadratic equation
[tex]u=\frac{-(-1)\pm\sqrt{-1^2-4(1)(-12)}}{2(1)}[/tex][tex]u=\frac{1\pm7}{2}[/tex]The values of u are
u=4 and u=-3
therefore
The answer is
u=-3,4an article is $68000 and sold at a profit of 14%. Find the selling price
Answer:
The selling price is: [tex]\$77,520[/tex]
Step-by-step explanation:
Step 1: Identify the profit made
A profit of 14% is made on the article.
This means that the article was sold at a price that had 14% of its original price added to it.
The 14% of the original price is:
[tex]14\% \times 68000\\=\frac{14}{100}\times 68000\\\\\text{Calculate the value}\\\frac{14}{100}\times 68000\\=9520[/tex]
So, a profit of $9520 was made
Step 2: Calculate the selling price
The selling price will be the sum of the original price and the profit.
The selling price is:
[tex]68000+9520\\=77520[/tex]
At a local print shop, 10 copies can be made for $4. At this rate, how much would it cost to make 75 copies?
Answer:
$30
Step-by-step explanation:
10 x 7 = 70
7 x 4 = 28
Since it's $4 to make 10 copies, it'll be $2 to make 5
28 + 2 = 30
$30 for 75 copies (a bad deal honestly)
Please mark Brainliest!!
Answer:
$30 dollars for 75 copies
Step-by-step explanation:
What we know:
$4 for every 10 copies.
How to figure out:
Divide 4/10 = .4 .4 is the cost per copy.
We do this because if it is 4 dollars per 10 copies, then we have to figure out the cost per copy. So we have to do how many dollars goes into each copy.
Now we know the cost of one copy we can multiply the amount of copies we need by the price of one.
75 x 0.4 = 30 30 is the price of 75 copies.
Which number is the greatest?
-8
-10
-7
Answer:
-7
Step-by-step explanation:
-7 is the greatest because it is closer to 0 on the number line.
A metal pole to hang banners and advertisements is attached to a brick
building to form a right angle. A diagonal brace is placed 5 feet below the
pole to give support. What is the length in feet of the pole?
13 ft
5 ft
The length in feet of the pole is 13 ft.
What is Pythagoras theorem?The right-angled triangle's relationship between its three sides is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The square of a triangle's hypotenuse is equal to the sum of its other two sides' squares, according to the Pythagoras theorem. Let's learn more about the Pythagoras theorem, its proofs, and its equations before moving on to cases that have been solved using the triangle and square Pythagoras theorem. The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this.
Use the Pythagorean relationship:
c²= a² + b²
= 5² + 12²
= 25 + 144
= 169
c = 13
To know more about Pythagoras theorem ,visit:
brainly.com/question/343682
#SPJ13
The average change in a company's sales income was $9 million over 3 moths. Determine the average change in sales income per month.
The average change in sales income per month is $ 3 million.
What is average change and how is it assessed?
The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function. A method that determines the amount of change in one item divided by the corresponding amount of change in another is known as an average rate of change function.
Given, for 3 months, the average change in the company's sales
= $ 9 million
Also, for x months, the average change in the company's sales
= $ (9x/3) million
Therefore, for one month, the average change in the company's sales
= $ (9*1/3) million = $ 3 million
Thus, the average change in sales income per month is $ 3 million.
To learn more about this, tap on the link below:
https://brainly.com/question/20118982
#SPJ9
The product of 3x^5 and 2x^4 is
Options:
1) 5x^9
2) 5x^20
3) 6x^9
4)6x^20
Answer:
6x^9
Step-by-step explanation:
Hello!
Multiply the like terms:
3 and 2x^5 and x^4Multiply3x^5 * 2x^43*2*x^5*x^46*x^(5 + 4)6x^9The correct answer is the 3rd option, 6x^9.
f(x)=2x^3+ax^2-24x+1 has a local maximum at x=-4. find a
Step-by-step explanation:
ax2+2x3−24x+1=y
Step 2: Add -2x^3 to both sides.
ax2+2x3−24x+1+−2x3=y+−2x3
ax2−24x+1=−2x3+y
Step 3: Add 24x to both sides.
ax2−24x+1+24x=−2x3+y+24x
ax2+1=−2x3+24x+y
Step 4: Add -1 to both sides.
ax2+1+−1=−2x3+24x+y+−1
ax2=−2x3+24x+y−1
Step 5: Divide both sides by x^2.
ax2
x2
=
−2x3+24x+y−1
x2
a=
−2x3+24x+y−1
x2
Answer:
a=
−2x3+24x+y−1
x2
(-7i)(3+3i)(a) Write the trigonometric forms of the complex numbers. (Let0 ≤ theta < 2pi.)(-7i) =(3+31) =(b) Perform the indicated operation using the trigonometric forms. (Let0 ≤ theta< 2pi.)(c) Perform the indicated operation using the standard forms, and check your result with that of part (b).
A complex number z is given in the form:
z = (x.y) = (realpart) x + imaginary part (iy)
In this case:
z1 = -7i
z2 = 3+3i
To write in trigonometric form:
[tex]\begin{gathered} z\text{ = r\lparen cos}\theta\text{ + isin}\theta) \\ For\text{ z1} \\ r\text{ = }\sqrt{0^2+7^2} \\ \text{ = 7} \\ \theta\text{ =}\tan^{-1}(\frac{7}{0} \\ Since\text{ t}he\text{ }argument\text{ }is\text{ }undefined\text{ }and\text{ y is negative,} \\ \theta=\text{ }\frac{3\pi}{2} \\ In\text{ trig form:} \\ z1\text{ = 7\lparen cos}\frac{3\pi}{2};sin\frac{3\pi}{2}) \\ For\text{ z2} \\ r\text{ = }\sqrt{3^2\text{ +3}^2} \\ \text{ =3}\sqrt{2} \\ \theta\text{ = }\tan^{-1}\frac{3}{3} \\ =\text{ }\frac{\pi}{4} \\ In\text{ trig form:} \\ z2\text{ = 3}\sqrt{2}(cos\frac{\pi}{4};sin\frac{\pi}{4}) \end{gathered}[/tex]Multiplication in trigonometric form:
[tex]z1*z2\text{ = \lparen21}\sqrt{2}\text{ \rparen \lparen cos}\frac{7\pi}{4};\text{ sin}\frac{7\pi}{4})[/tex]Multiplication in standard form:
[tex]\begin{gathered} (-7i)(3\text{ + 3i\rparen} \\ =-21i\text{ - 21i}^2 \\ i^2\text{ = -1} \\ =\text{ -21i + 21} \\ r\text{ = }\sqrt{21^2+21^2} \\ =21\sqrt{2} \end{gathered}[/tex]f(x) = 2x³ - 4x + 6
f(3) =
Graph the cubic using its end behaviour and a few selected points.
The leading coefficient test requires one variable only
Which ordered pair would form a proportional relationship with the point graphed below?
Answer:
(5, 20)
Step-by-step explanation:
(5, 20) is the only ordered pair which falls on the line
You have 8 times as many dimes as nickels. You have 18 dimes and nickels altogether how much money do you have in all?
For the given condition of dimes is 8 times of nickel and there are 18 dimes and nickels altogether, then total money is equal to $1.
As given in the question,
Let x be the number of dimes
Then number of nickels are 8x.
As per given condition,
Total number of dimes and nickels = 18
⇒ x + 8x = 18
⇒ 9x = 18
⇒ x= 2
Number of dimes =2
Number of nickels = 8(2)
= 16
Conversion:
1 dime = 0.10$
1 nickel = 0.05$
Total amount of money in dollars
= 2 ×(0.10) + 16× (0.05)
= 0.20 + 0.80
= 1.00
Therefore, for the given condition of dimes is 8 times of nickel and there are 18 dimes and nickels altogether, then total money is equal to $1.
Learn more about dimes here
brainly.com/question/14534255
#SPJ1
Solve the system of equations below for x, y, and z. (4x - 2y + 3z = 9 x - 2y = -3 2x + 3y = 1
The solutions are x = -1, y = 1 and z = 5
What is a Linear equation?In Mathematics, the equation which has highest degree 1 is known as a Linear equation. Linear equations are used to calculate unknown values. Here to represent unknown values we will use variables like x, y, z or a, b, c .. etc.
According to the number of variables in given equations, the given equations will be called a Linear equation in one variable or Linear equation in two variables and so on. To solve linear equations we will use Elimination method
Here, we have three linear equations with 3 and 2 variables
4x - 2y + 3z = 9 ----(1)
x - 2y = -3 -----(2)
2x + 3y = 1 -----(3)
Here, to find x, y and z we will use Elimination method
First of all solve (2) and (3) as given below
2 × (2) ⇒ 2x - 4y = - 6 -----(4)
1 × (3) ⇒ 2x + 3y = 1
Now subtract (3) from (4)
(4) - (3) ⇒ 2x - 4y -2x - 3y = - 6 - 1
⇒ - 7y = -7
⇒ y = 1
Substitute y = 1 in (2)
(2) ⇒ x - 2(1) = -3
x - 2 = -3
x = -1
Now substitute x = -1 and y = 1 in (1)
(1) ⇒ 4(-1) - 2(1) + 3z = 9
- 6 + 3z = 9
3z = 15
z = 5
From above calculations
The values of x = -1, y = 1 and z = 5
Learn more about Solving Linear Equations at
https://brainly.com/question/27913619
What is the value of x?
Answer:
15
Step-by-step explanation:
please help me ! please
Answer:
[tex] \sf {\large{4\pi }}[/tex]
Step-by-step explanation:
Circumference of a circle ⭕ = [tex] 2 \pi r [/tex]
Where,
r = d/2
d means diameter
r = 4/2 = 2
So, substitute to equation C = 2πr
C = 2πr
C = (2r)π
C = (2•2)π
C = 4π
can you tell me if my answer is correct
Answer:
(a)Vertex
(c)3 seconds
Explanation:
Part A
The maximum point on a parabola is called the Vertex.
Part C
To find out how much the plain was in the air, find the values of t at which the height, h=0.
Next, subtract the second value of t from the first value.
[tex]h=-16t^2+32t+48[/tex]First, set h=0:
[tex]\begin{gathered} h=-16t^2+32t+48=0 \\ -16t^2+32t+48=0 \end{gathered}[/tex]Factorize:
[tex]\begin{gathered} -16(t^2-2t-3)=0 \\ t^2-2t-3=0 \\ t^2-3t+t-3=0 \\ t(t-3)+1(t-3)=0 \\ (t+1)(t-3)=0 \\ t+1=0\text{ or }t-3=0 \\ t=-1\text{ or }t=3 \end{gathered}[/tex]Therefore, the plane hits the ground after 3 seconds.
3. Determine the percent of each quantity.
a. 7% of 80
c. 12% of 320
b. 15% of 55
d. 8% of 300
Answer:
a. 5.6
b. 38.4
c. 8.25
d. 24
Step-by-step explanation:
Renting a roller rink for your birthday costs $300 plus $9 per person. The total charge for your party was $534. Translate this information into an equation using x to represent the number of guests at your party.
The equation using x to represent the number of guests at your party is 300 + 9x = 534
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Let x represent the number of guests at your party.
Here, renting a roller rink for your birthday costs $300 plus $9 per person. This will be:
300 + 9x = 534
Collect like terms
9x = 534 - 300
9x = 234
Divide
x = 234 / 9
x = 26
The number of guest is 26.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
PLS HELP WITH 15. (GIVING EXTRA POINTS)
Answer:
[tex]4^{6}[/tex] or 4096
Step-by-step explanation:
When the bases are the same, you add the exponents.
Answer:
Step-by-step explanation:
[tex]\boxed{\bf\\a^n*a^m=a^{n+m}}[/tex]
[tex]\displaystyle(4)^2\cdot(4)^4\cdot(4)^0=(4)^{2+4+0}=4^6=4096[/tex]
The graph of function f is shown. An exponential function on a coordinate plane passes through (minus 1, 7), (1, 2), (10, minus 1) and also intercepts the x-axis at 3 units and the y-axis at 4 units. Function g is represented by the table. x -1 0 1 2 3 g(x) 24 4 0 Which statement correctly compares the two functions? A. They have the same x- and y-intercepts. B. They have different x- and y-intercepts but the same end behavior as x approaches ∞. C. They have the same x-intercept and the same end behavior as x approaches ∞. D. They have the same y-intercept and the same end behavior as x approaches ∞.
A painter has three partially filled paint cans.1 7/8 gallonsthe second contains 1 1/5 gallonsand the third contains 1 3/4which anwer is closet to the total amount of paint?A.2B.3C.4D.5
A painter has three partially filled paint cans.
The first contains 1 7/8 gallons
The second contains 1 1/5 gallons
The third contains 1 3/4 gallons
The total amount of paint is the sum of these paint cans.
[tex]total=1\frac{7}{8}+1\frac{1}{5}+1\frac{3}{4}[/tex]Now let us add these mixed fraction numbers
[tex]\begin{gathered} total=1\frac{7}{8}+1\frac{1}{5}+1\frac{3}{4} \\ total=(1+1+1)+(\frac{7}{8}+\frac{1}{5}+\frac{3}{4}) \\ total=(3)+(\frac{7}{8}+\frac{1}{5}+\frac{3}{4}) \\ total=(3)+(1.825) \\ total=4.825 \end{gathered}[/tex]As you can see, 4.825 is closest to 5.
Therefore, the correct option would be D
Which number line represents the solutions to |x + 4| = 2?
Answer:
The first option is correct :)
Step-by-step explanation:
x=-6, x=-2
|x+4|=2
x+4=2, x=-2
x+4=-2, x=-6
:] (Tell me if this is incorrect!)
(brainliest would help a lot)
Answer: the first one (-2,-6)
Step-by-step explanation:
|x+4| = 2
subtract 4 from both sides and you get -2
|x+4| = -2
subtract 4 from both sides and you get -6
If you want to check your answers, plug it into the original equation
solve the following equation 7x + 14=28
Answer:
x = 2
Step-by-step explanation:
The Question was:
7x + 14 = 28
Subtract 14 from both sides.
7x = 28 − 14
Subtract 14 from 28 to get 14.
7x = 14
Divide both sides by 7.
x = 14/7
Divide 14 by 7 to get 2.
x = 2
Answer:
x=2
Step-by-step explanation:
To solve a question like that, we have to isolate the variable.
What is the variable? A variable is a letter partaking in an equation that is in place of a number or solution that makes the equation true.
In this case, the variable is x.
To isolate the variable, we must do the opposite action that is being done to the number.
For example, if a number was added to one side by 28, we can subtract both sides by 28 so it negates the addition and does not alter the original equation.
7x+14=28 We can subtract the 14 on both sides to negate the -14 -14 addition.
7x=14 Divide each side by 7 to isolate x.
x=2