We're given:
Area (garden) = 4(5.5x + 1.5)Area (garden + walkway) = 4.5(8x + 4)To find the area of the garden alone, we can subtract the area of the garden from the combined area of the garden and walkway:
[tex]4.5(8x + 4)-4(5.5x + 1.5)[/tex]
Open up the parentheses:
[tex]= 36x +18 -22x - 6[/tex]
Combine like terms:
[tex]= 36x +18 -22x - 6\\= 14x +18 - 6\\= 14x +12[/tex]
AnswerThe area of the walkway around the garden is 14x + 12.
Anytown households that earn more than $75,000 tend to buy sports equipment, while households that earn less than $75,000 tend to buy TVs. Which new business would be most likely to succeed? a car dealership an electronics store an office supply store a sporting goods store.
Answer: An Electric Store
Step-by-step explanation: Hoped This Helped! Thx For The Points!
Answer:
B
Step-by-step explanation:
an electronics store
The relative frequency of Event A in an experiment is 1/3.
If the experiment is performed 30 times, how many times should you expect Event A to occur?
Enter your answer as a number, like this: 42
Answer:
10
Step-by-step explanation:
30 x 1/3 = 10
aka if you do something 30 times and every 3 times it happens you do it 10 times.
Question: Antonio is working with a new geometric series generated by the equation A(n)=20(1.1)^n-1.His sister challenged him to find the sum of the first 22 terms
Answer:
sum of 22nd = 1,428.05
sum of 23 to 40 is 932.53
Step-by-step explanation:
A(n)=20(1.1)^n-1
20 is the first term or a1
1.1 is the common ratio or r
A(22) = 20(1.1)^22-1
22nd term = 20(1.1)^21
22nd term = 148.00
sum of geometric sequence
formula
Sn = a1(1-r^n)/1-r
Sn = sum
a1 = first term
n = number of term
r = constant ratio
sum of 22nd = 1,428.05.
23 to 40 is 17 terms
Sequence: 23, 25.3, 27.83, 30.613, 33.6743, 37.04173, 40.745903 ...
The 17th term: 105.684378686
Sum of the first 17 terms: 932.528165548
socratic
miniwebtoolcomgeometricsequencecalculator
His sister challenged him to find the sum of the first 22 terms of geometric series is 1428.05.
What is a series?A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.
Antonio is working with a new geometric series generated by the equation that is
[tex]A_{n}=20(1.1)^n-1.[/tex]
His sister challenged him to find the sum of the first 22 terms will be given as
[tex]Sn = \dfrac{a(r^n - 1) }{ (r - 1)}[/tex]
We have
a = 20
r = 1.1
n = 22
Then
[tex]\rm S_n = \dfrac{20(1.1^{22} - 1) }{ (1.1 - 1)}\\\\\\S_n = \dfrac{20(8.14 - 1) }{ 0.1}\\\\\\S_n = \dfrac{20*7.14 }{0.1}\\\\\\S_n = 1428.05[/tex]
His sister challenged him to find the sum of the first 22 terms of geometric series is 1428.05.
More about the series link is given below.
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Use the equation v = StartFraction 10 Over p EndFraction to determine the pressure when the volume is 10 liters. A. 10 c. 100 b. 0. 1 d. 1.
The value of the pressure is 1 when the value of volume is 10 liters, the correct option is D.
What is the pressure?Pressure is defined as the physical force exerted on an object.
The force applied is perpendicular to the surface of objects per unit area.
Given
The equation is
[tex]\rm V=\dfrac{10}{p}[/tex]
Where the v is the volume and p is the pressure.
The value of p when the value of volume v is 10 liters is;
[tex]\rm V=\dfrac{10}{p}\\\\\rm 10=\dfrac{10}{p}\\\\P = \dfrac{10}{10}\\\\P=1[/tex]
Hence, the value of the pressure is 1.
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Which of the following relations is a function?
A.
(8, 1), (-1, 4), (1, 1), (8, 2)
B.
(1, 4), (-1, 2), (8, 1), (-6, 2)
C.
(1, 0), (-1, 3), (8, 1), (-1, 5)
D.
(1, 4), (-1, 6), (1, 3), (-6, 2)
Answer:
B
Step-by-step explanation:
The first components should not be duplicates, otherwise the second components should be the same. Therefore, the second option is correct.
What is the exact value of sin
(7pie/12)
Answer:
[tex]\displaystyle \frac{\sqrt{2} + \sqrt{6}}{4}[/tex]
Explanation:
If you recall the unit circle [from the polar graph], you would have no trouble at all figuring this out, but sinse you have trouble, do not worry about it. So, here is what you should have realised:
[tex]\displaystyle \boxed{\frac{\pi}{2}} = \frac{6}{12}\pi[/tex]
If you did not notise, [tex]\displaystyle \frac{7}{12}\pi[/tex]is just [tex]\displaystyle \frac{\pi}{12}[/tex]more than [tex]\displaystyle \frac{\pi}{2},[/tex]which means the exact value could possibly have a 4 in its denominatour [which obviously also has a desimal value] or could be irrational [values that cannot be written as fractions]. In this case, according to the unit circle, you will have a fraction, and that will be this:
[tex]\displaystyle \frac{\sqrt{2} + \sqrt{6}}{4}[/tex]
It is all about memorisation of the unit circle, which I know is difficult, but you will get used to it soon.
*Now, if you had to find [tex]\displaystyle cos\:\frac{7}{12}\pi,[/tex]then the exact value would be the OPPOCITE of the exact value of [tex]\displaystyle sin\:\frac{7}{12}\pi,[/tex]which is [tex]\displaystyle -\frac{\sqrt{2} + \sqrt{6}}{4},[/tex]because you would be crossing into the second quadrant where the x-coordinates are negative, accourding to both the cartesian and polar graphs.
I am joyous to assist you at any time.
What is the prime factorization of 20 in exponential form?
Answer:
•The prime factorization of 20 using exponents is 22*5 2 2 ∗ 5 .
Explanation:#Let's Study
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#Keep On Learning
#Carry On Learning
The equation, 3x2 6x 3y2 7y 4 = 0, represents a conic. The conic represented by the equation is a/an because.
The given equation is an equation of a circle because it looks similar to the general equation of a circle.
What is the general equation of a circle?The general equation of a circle is:
x² + y² +2gx + 2fy + c = 0...........eq1
Where (-g, -f) is the center of the circle.
c is a constant
Given equation is
3x² +6x + 3y²+7y+4 = 0
Let us take 3 as common
x² + 2x+y²+7/3y + 4/3 = 0
Let us rearrange the equation
x² + y²+2x +7/3y + 4/3 = 0...........eq2
Now look at eq1 and eq2
We got that eq2 is having a similar pattern as eq1.
Therefore, The given equation is an equation of a circle.
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Answer:
circle A = C
Step-by-step explanation:
What is the area of an isosceles right triangle that has one leg that measures 6 cm?
A 18 cm
B 36 cm
C 6√2 cm
D 72 cm
Answer:
Correct option is A)
Explanation:
Let height of triangle = h
As the triangle is isosceles,
Let base = height =h
According to the question, Area of triangle = 8cm
2
⟹
2
1
×Base×Height=8
⟹
2
1
×h×h=8
⟹h
2
=16
⟹h=4cm
Base = Height = 4cm
Since the triangle is right angled,
Hypotenuse
2
=Base
2
+Height
2
⟹Hypotenuse
2
=4
2
+4
2
⟹Hypotenuse
2
=32
⟹Hypotenuse=
32
Hence, Options A is the correct answer.
Step-by-step explanation:
HELP I DONT KNOW HOW TO DO THIS
Answer:
5 units
Step-by-step explanation:
The base of a triangular prism is the area of the triangle, i.e. the area of the cross-section.
The "height" of this triangular prism is the depth of the shape (the wording of the question is confusing!).
Volume of the prism = area of cross-section × height
= area of triangle × depth of shape
If the volume of the prism is 130 units³ and the area of the base is 26 units², substitute these values into the above formula to find the height:
⇒ 130 = 26 × height
⇒ height = 130 ÷ 26
⇒ height = 5 units
Answer: 10
Step-by-step explanation:
This problem depends on how you view "volume." In this case, I would view the volume as taking the surface area of the triangle, and then multiplying it by the small width it has. This will take the area and scale it across the entire volume. So, taking the area of a triangle and multiplying it by the width, you get:
[tex]Volume=Area*Width[/tex]
[tex]Volume=(\frac{1}{2} bh)*w[/tex]
We weren't given the actual base, but instead given the base area. That's easily undoable since the area of a rectangle is easy. Its simply, length times width.
[tex]Area=l*w[/tex]
We want the length here. The length of the rectangle is equivalent to the base of the triangle. Solve for the length of the rectangle to get:
[tex]Length=Base=Area/Width[/tex]
Lets plug in this "base" value into the formula for the volume of the figure:
[tex]Volume=(\frac{1}{2} (A/w)h)*w[/tex]
Plug in the given values. First though, you'll notice the width cancels giving:
[tex]Volume=(\frac{1}{2} Ah)[/tex]
[tex]130=(\frac{1}{2} 26*h)[/tex]
[tex]130=13h[/tex]
[tex]h=10[/tex]
The polynomial function f(x) is a fourth degree polynomial. which of the following could be the complete list of the roots of f(x)? 3, 4, 5, 6 3, 4, 5, 6i 3, 4, 4 i startroot 6 endroot, 5 startroot 6 endroot 3, 4, 5 i, –5 i
Polynomial is an expression consisting of indeterminates and coefficients, also mathematical operations. option 1 is a complete list of the roots of the polynomial function.
What are polynomial?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
As it is given that a polynomial function f(x) is a fourth-degree polynomial. Therefore, it must have 4 roots. Now if we check all the options for the possible list of roots of f(x).
Looking at the options,
Option 1. 3,4,5,6 can be the complete list for polynomial function f(x).
Now, Option 2 and option 3 cannot be the complete list of the roots for f(x) as it has one complex root and complex roots always occur in pairs.
Further, Option 4 cannot be the complete list for f(x) as complex roots occur in pairs and they conjugates but conjugate of 5+i is 5-i(which is not given), not -5+i.
Hence, option 1 is a complete list of the roots of the polynomial function.
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Answer: A, or 3, 4, 5, 6. :)
Write the equation of the line that passes through the point (-4, -2) and is parallel to the line
Answer:
THIRD OPTION
Step-by-step explanation:
The line admits a slope equal to the line
so, slope=1/4
It passes through (-4,-2), so the coordinates satisfy the equation
-2=-4/4+b
-2=-1+b
b=-2+1=-1
y=1/4x-1
who will give rhe answer I'll mark them as brainlist
Answer:
7+8+6+5+4 = 30
30+1=31
31/2 = 15.5
Answer = 60-70
Step-by-step explanation:
Put the results in numerical order (in a frequency table this will already be done)
Count the total amount of results and add one
Divide this by 2 to find the position of the middle result
Find the middle result in the numerically ordered list or frequency table
You will then have the median of the set of results
HELP
Select all the expressions that are equal to 5/9×8
9 divided by 5 x 8
8/9 x 5
5 divided by 8 x 9
5 x 1/9 x 8
5 x 8 divided by 9
Part B
evaluate the expression in part a enter your answer in the boxes
Answer:
8/9 x 5
5 x 1/9 x 8
5 x 8 divided by 9
Step-by-step explanation:
5/9 = 0.5555*8 =4.444
8/9 = 0.8888*5 =4.444
5*1/9 = 0.5555*8 =4.444
5*8 = 40/9 =4.444
hi can someone help me please
Answer:
56
Step-by-step explanation:
The total of a triangle 180 so you just need to take 124 away from 180 and you get 56 the reason you do this is because we added 90 and 34 making 124 for to find the missing angle you just subtract the total from the given angles
A circular piece of glass has a radius of 0. 8 meters. The glass sells for $4. 60 per m². What is the total cost of the circular piece of glass? Use 3. 14 for pi. $2. 01 $9. 24 $23. 11 $36. 98.
The cost of the circular glass piece will be equal to $9. 24
What will be the cost of the circular glass piece?
It is given that
The radius of the circular glass piece [tex]r= 0.8 meters[/tex]
The selling price of glass per square meter = $4. 60
Now find the area of the circular glass piece
[tex]A= \pi r^{2}[/tex]
[tex]A=\pi \times (0.8)^{2}[/tex]
[tex]A=2.01 m^{2}[/tex]
Now cost of the glass piece =
[tex]=Area \times selling price of glass pieces per square meter area[/tex]
[tex]= 2.01\times4.0=9.24[/tex]
Thus the cost of the circular glass piece will be equal to $9. 24
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A total of 435 tickets were sold for the school play. They were either adult tickets or student tickets. There were 65 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
370 adult tickets... 435-65=370
pleaseeee helpppp???? :)))))))))
Answer:
(a) 28π cm
(b) 88 cm
Step-by-step explanation:
Part A — Give an exact answer in terms of π.
To find circumference of a circle, our formula is:
[tex]\displaystyle \large{C=2\pi r}[/tex]
Where:
C = circumference r = radiusRadius is,the line segment or value from center to one of endpoints. Our radius is given as 14 cm in the shown attachment.
Henceforth, our circumference is:
[tex]\displaystyle \large{C=2\pi \cdot 14}\\\displaystyle \large{C = 28\pi}[/tex]
So for part A, the circumference is 28π cm.
Part B — Use π ≈ 22/7 and express your answer as a fraction in lowest terms.
For this part, use the circumference that we solved from part A:
[tex]\displaystyle \large{C=28\pi}[/tex]
Substitute π = 22/7 in.
[tex]\displaystyle \large{C \approx 28\cdot \frac{22}{7}}\\\displaystyle \large{C \approx 4\cdot 22}\\\displaystyle \large{C \approx 88 \ cm}[/tex]
Henceforth, the circumference in Part B is approximately 88 cm.
the quotient of 12 divided by y increased by 7
Answer:
5+z7=12
Step-by-step explanation:
I think this is the answer idek if its an option but I hope u get it right:) Hope this helped
The quotient of 12 divided by y increased by 7 is equals to [tex]\frac{12}{y} +7[/tex].
What is division?" Division is defined as the distribution of a number into equal parts as per the given condition."
According to the question,
Given number = 12
Divisor = y
Condition given = quotient of 12 divided by y increased by 7
As per the given condition the required quotient of given division ,
[tex]\frac{12}{y} +7[/tex]
Hence, the quotient of 12 divided by y increased by 7 is equals to [tex]\frac{12}{y} +7[/tex].
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Please help, I’ll mark your answer as brainliest.
Answer:
Step-by-step explanation:
Evaluate the expression.
(65 + (1/5x 5) + 6) = 9
Let's verify
65+(1/5×5)+565+671As LHS not equal to RHS
This is not trueMary invests £12000 in a savings account. The account pays 1. 5% compound interest per year. Work out the value of her investment after 2 years
Answer:
The value of Mary's investment after two years = £12362.7
Step-by-step explanation:P = Principal / initial amountR = rate of interest per cent per yearT = number of yearsA = final amount at the end of T yearsThen:A = P*(1 + R/100)^2In our example:P = £12000R = 1.5 per cent per yearT = 2 yearsThus:A = 12000*(1 + 1.5/100)^2 = 12000*(1 + 0.015)^2 = 12000*(1.015)^2 = 12000*(1.030225) = 12362.7Value of investment after two years = £12362.7
Which equation can be used to find the product 640x7?
A.
B.
C.
D.
Answer:
A.=880
B.=4240
C.=700
D.=4480 which is the sum of 640*7
Step-by-step explanation:
mr cleann account go rip
Answer:
D. (600 × 7) + (40 × 7) = 4200 +280
Step-by-step explanation:
It might helps you
find the missing side length
Answer: 5
Step-by-step explanation:
PLEASEEEEE HELP ME, ILL GIVE BRAINLIEST
Find the absolute value of 3+8i
Answer:
73 is the answer 100%
Step-by-step explanation:
Hoped this helped a little at least :)
*UPDATED*
Using abosute value formulas:
|a + bi| = sqrt( a + bi)(a-bi) = sqrt(a^2 + b^2)
In the given equation a = 3 and b = 8
sqrt(3^2 + 8^2)
Sqrt(73)
Answer: sqrt(73)
10. What is the value of x in the figure shown? (2x + 6)° 80 °
Answer:
Step-by-step explanation:
The opposite angles formed by two intersecting straight lines are equal:
(2x+6) = 80°
2x = 74°
x = 37°
Answer:
X = 37
Step-by-step explanation:
These are vertically opposite angles and thus equal.
Therefore,
[tex]2x + 6 = 80[/tex]
[tex]2x = 74[/tex]
[tex]x = 37[/tex]
What is the approximate length of the radius, r? Use 3. 14 for. Round to the nearest inch. 12 inches 24 inches 38 inches 46 inches.
Answer:
협의회는 지난 해 올해
Step-by-step explanation:
업 하고 있는 것 같은 기분 좋은 시간 보내고 왔습니다 그리고 저는 이렇게 잘 지내고 있습니다 저는 너무 힘들고 또 제 자신이 정말 많은 것 같아요
Help
Start by writing an equation that represents this hanger diagram.
2y=4x−2 simplify the equation
Answer:
y=2x-1
Step-by-step explanation:
2y=4x-2
y=4/2x-2/2
y=2x-1
Answer:
y=2x-1
Step-by-step explanation:
divide everything by 2
[tex] \frac{2y}{2} = \frac{4x}{2} - \frac{2}{2} \\ y = 2x - 1[/tex]
HELPPPP!!! I NEED SOME HELP PLSS
Answer:
v/lw=h
Step-by-step explanation:
I hope this helps and have a good day