Answer:
Area of the lawn = 64π square feet
Step-by-step explanation:
Area of the circular lawn = πd²/4
d is the diameter of the lawn = 16ft
Substitute the given value into the formula
Area = π(16)²/4
Arrea of the lawn = 256π/4
Area of the lawn = 64π square feet
Use the sequence {−1,171,875;−234,375;−46,875;−9375,…} to answer the question.
What is the explicit rule that describes the sequence?
an=−1,171,875(125)n−1
an=1,171,875(−15)n−1
an=−1,171,875(15)n−1
an=1,171,875(−115)n−1
Answer:
an = −1,171,875(1/5)^n-1
Step-by-step explanation:
The given sequence is geometric sequence since they have the same common ratio r. The nth term of a geometric sequence is expressed as;
an = ar^n-1
n is the number of terms
r is the common ratio
a is the first term
From the sequence;
a = −1,171,875
r = −234,375 /−1,171,875 = -46,875/−234,375 = 0.2
r = 1/5
Substitute the values in the formula;
an = −1,171,875(1/5)^n-1
Hence the required explicit formula is an = −1,171,875(1/5)^n-1
The explicit rule that describes the sequence is [tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]. Then the correct option is C.
What is a sequence?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The sequence is {−1,171,875;−234,375;−46,875;−9375,…}
The given sequence is the geometric sequence since they have the same common ratio r. Then the nth term of the geometric sequence will be
[tex]\rm a_n = a\ r^{n-1}[/tex]
Where
Number of terms (n)
First-term (a) = -1,171,875
Common ratio (r) = 1/5
Then nth term will be
[tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]
The explicit rule that describes the sequence is [tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]. Then the correct option is C.
More about the sequence link is given below.
https://brainly.com/question/21961097
Help help help! This is 40% of my grade and i am stuck.
FIND THE MEASURES OF THE INTERIOR ANGLES
Answer:
Angle A=68
Step-by-step explanation:
68+x+(x-24)=180
68+x+x-24=180
2x+44=180
2x=136
x=68
2.75603957 rounded to 2 decimal places
After taking part in a competition, Seth received a silver medal with a diameter of 8 inches. What is the medal's circumference?
Use 3.14 for .
Answer: 25.12 inches
Step-by-step explanation:
C=2πr
8/2=4
2(3.14)(4)
2(12.56)
25.12
Answer:
25.12 inches
Step-by-step explanation:
So, the formula for circumference is πd (or πr² whichever you prefer. We already have the diameter, so we do π x d, which is π x 8 inches, which is equal to 25.12 inches.
This is correct only if you use π as 3.14 hope this helps :)
help mee plz... i ' m in trouble
ans 2,3&4
Step-by-step explanation:
2) a= -3/8 and b= -5/3
a×b= b×a
-3 × -5 = -5 × -3
8. 3. 3. 8
15 = 15
24. 24
3)a=8/11 and b= -6/11
a×b=b×a
8 × -6 = -6 × 8
11. 11. 11. 11
-48 = -48
121. 121
4) a= -9/15 and b= -7/2
a×b=b×a
-9 × -7 = -7 × -9
15. 2. 2. 15
63 = 63 , let's divide both by 3
30. 30
21 = 21
10. 10
Combine the like terms to create an equivalent expression for −n+(−4)−(−4n)+6
Answer:
3n + 2
Step-by-step explanation:
−n+(−4)−(−4n)+6
-n - 4 + 4n + 6
3n + 2
Find the sum 1/2+1/4
Answer:
3/4
Step-by-step explanation:
Make a common denominator and multiply the many times the denominator had to get to the common denominator to the numerator.
I’m sorry for the spam questions but I need help
Answer:
x = 30
Step-by-step explanation:
2x + x = 90
3x = 90
x = 30
help me with this plesse
A recipe calls for 1/3 of a cup of butter. If Matthew is making 1/4 of the recipe, how much butter should he use?
Answer:
1/12 a cup
Step-by-step explanation:
1/3*1/4=1/12
Answer:
1/12
Step-by-step explanation:
1/3*1/4=1/12
Jacob runs 5 miles in 1 1/2 hours . Robert runs 3 miles in 45 minutes or 3/4 hour. Who runs faster
Answer:
Robert
Step-by-step explanation:
If Robert runs 3 miles in 45 minutes, by the end of 90minutes, Robert would have covered 6miles, while Jacob covered 5miles in 90 minutes, therefore, Robert ran faster than Jacob.
Which statement is true?
A. A number subtracted from itself is a natural number.
B. All rational numbers are integers.
C. All irrational numbers are real numbers. W
D. Every whole number is a natural number.
A number system is a system for the presentation of numbers into groups or categories
The true statement is the option;
C. All irrational numbers are real numbers
Reason:
The number system is composed of two types of numbers, which are;
Real numbers Imaginary numbersImaginary Numbers;
The imaginary numbers are the numbers that have the value √(-1), within them
Real Numbers:
There are two types of real numbers which are;
Rational numbers; Numbers that can be written in the form [tex]\dfrac{a}{b}[/tex], where a, and b, are integers
Irrational numbers; Numbers that cannot be expressed in the form [tex]\dfrac{a}{b}[/tex], such as π, √2, e
Therefore;
All irrational numbers are real numbers
Learn more here:
https://brainly.com/question/9842110
A car dealership offers two types of discounts.
• Discount 1: Take 5% off the original price of a car built last year and then receive a
$3,500 rebate.
• Discount 2: Take 10% off the original price of a car built this year and then receive a
$1,250 rebate.
A customer is deciding between two cars.
• Car R was built last year and has an original price of $25,340.
• Car S was built this year and has an original price of $22,860.
Based on this information, which statement is true?
A The customer would pay $19,324 for Car S.
B The customer would pay $24,073 for Car R.
C The customer would pay $21,824 for Car S.
D The customer would pay $23,107 for Car R.
Answer:
The customer would pay $19,324 for Car S.
Step-by-step explanation:
Take Car S
$22,860 x .1 (ten percent) = $2,286
$22,860 (original car price) - $2,286 (minus the 10%) = $20,574 (new car price)
$20,574 - rebate of $1,250 = $19,324
The customer would pay $19,324 for Car S.
All other do not come out but this one does, so that is the only option for this!
angle not necessarily drawn to scale
Answer:
pretty sure its 67
Step-by-step explanation:
straight line=180 and that one angle is a right angle
basically 90+23+x=180
x=67
Explain, using complete sentences, how you would reconcile your check register with your monthly bank statement
How do you reconcile a bank statement?
Step 1: Adjust the bank statement balance. All your transactions for the month may not be on your bank statement. ...
Step 2: Adjust the check register balance. Your bank statement may include items that you didn't record in the check register. ...
Step 3: Compare the adjusted balances.
Simplify the following expressions to have fewer terms 5x-3+4(4x-6)+2
Answer:
(21x-25)
Step-by-step explanation:
We need to find an equivalent expression for the following.
5x-3+4(4x-6)+2
We can solve it as follows:
5x-3+4(4x-6)+2 = 5x-3+16x-24+2
= 5x+16x-3-24+2
= 21x-25
So, the equivalent expression is equal to (21x-25).
HELP!!!!! What is the geometric mean of 3 and 7?
Answer:
4.5826
Step-by-step explanation:
Pi is: (click all that are correct) *
always the same, and is 3.14 or 22/7
delicious
used to help find the circumference of a circle
always a different number pls help lol
yes,Pi is 3.142 or 22/7
Step-by-step explanation:
22/7=3.14285714
A paint color is made using 4 drops of red and 5 drops of blue for each 5 gallons of paint. How many gallons of paint are being colored when 45 drops of color are used?
The probability of spinning a 9 on Luke's game spinner is . The probability of rolling a 6 on a fair
die is Which shows the probability of spinning a 9 and then rolling a number that is NOT a 6?
Answer:
First, there are
3
numbers (6, 7, 8) greater than
5
on a spinner numbered
1
-
8
(1, 2, 3, 4, 5, 6, 7, 8). Therefore, there is a:
3
8
probability of spinning a number greater than
5
.
However, there is only a 50-50 or
1
2
chance of tossing a tail on a coin.
Therefore the probability of spinning a number greater than
5
AND tossing a tail is:
3
8
×
1
2
=
3
16
Or
3
in
16
Or
18.75%
Step-by-step explanation:
PLEASE HELP FOR BRAINLIEST! The sum of two numbers is 4 and the difference of their squares is 64. Find the two numbers.
10 and -6
.....................................................
Write two expressions that are equivalent to 7 x 10 to the -4
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{7\times 10^{-4}}[/tex]
[tex]\rightarrow\mathsf{7\times\dfrac{1}{10\times10\times10\times10}}[/tex]
[tex]\mathsf{= \dfrac{7}{10\times10\times10\times10}}[/tex]
[tex]\mathsf{10\times10\times10\times10=100\times100=10,000=\bf 10^4}[/tex]
[tex]\mathsf{=\dfrac{7}{10^4}}[/tex]
[tex]\mathsf{=\dfrac{7}{10,000}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Possible ANSWERS: }\mathsf{\bf {\dfrac{7}{10^4}\ or \ \dfrac{7}{10,000}}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Please help due today:///
What are the coordinates of the vertex of the parabola described by the equation below? y = -5(x + 2)^2 + 7
A. (2, -7) O B. (-7,-2) O C. (7,2) O D. (-2,7)
After inspecting the expression and comparing it with the standard equation of the parabola, the location of the vertex is (x, y) = (- 2, 7). (Correct choice: D) #SPJ5
How to determine the location of the vertex of the parabola by algebraic meansThe vertex is the bound point that characterizes parabolas and which can be a maximum or a minimum but never both. As we know the standard equation of the parabola, we can determine the location of the vertex, whose coordinates are (x, y) = (h, k), by just interpretating the equation, whose form is:
y - k = a · (x - h)² (1)
After inspecting the expression and comparing it with the standard equation of the parabola, the location of the vertex is (x, y) = (- 2, 7). (Correct choice: D) #SPJ5
To learn more on parabolas, we kindly invite to check this verified question: https://brainly.com/question/4074088 #SPJ5
∠A and \angle B∠B are vertical angles. If m\angle A=(7x-8)^{\circ}∠A=(7x−8)
∘
and m\angle B=(6x+17)^{\circ}∠B=(6x+17)
∘
, then find the value of x.
please solve for x!!!
Answer:
x = 20
Step-by-step explanation:
The two angles are verticals angles and vertical angles are equal
7x -99 = 2x+1
Subtract 2x from each side
7x-99-2x =2x+1-2x
5x-99 =1
Add 99 to each side
5x-99+99 = 1+99
5x =100
Divide each side by 5
5x/5 =100/5
x = 20
Answer:
x=20
set them equal to eac hother
7x-99=2x+1
-2x+99-2x+99
---------------------
5x=100
---- ------
5 5
x=20
Anton is buying supplies for a charity event.
A pack of 50 paper cups costs £1.89.
A pack of 10 paper plates costs 49p.
Anton has £15 to spend.
Anton buys 250 paper cups and spends the rest on paper plates.
How many paper plates can he buy?
Someone please help me work out the answer to how it’s 110 paper plates.
I’ll award brainiest❤️❤️.
Answer:
110 paper plates
Step-by-step explanation:
Given values:
1 Pack of paper cups (50) = 1.89
1 pack of paper plates (10) = 0.49
Anton has 15.00 to spend
If Anton were to buy 250 paper cups, that would cost him 5 packs since each pack is 50 cups. 5 packs would cost him 1.89 x 5 or 9.45. He now has 5.55 left to spend on paper plates.
Each pack of paper plates is 0.49. To find how many packs he can buy with the remaining amount of money, divide the money buy the cost.
5.55/0.49 ≈ 11.32
Since you can't buy .32 packs, Anton can buy 11 packs, or 110 paper plates.
What would be the absolute value of Point R shown on the number line?
Answer:
|-2| = 2
Step-by-step explanation:
Solve: 6x - 13 = 4(x + 10) + 2x
Answer:
null
Step-by-step explanation:
Answer: 0=53
Step-by-step explanation:
what equation passes through (6,3) and is parrallel to y=3x+5
Answer:
y=3x+25
Step-by-step explanation:
For the equation y=3x+5, the slope is 3. Since the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-13)=3(x--4)
y-13=3x+12
y=3x+25