Answer:
Step-by-step explanation:
Since the grass on the field erodes by -1 1/2% every year, it means that the rate of erosion is exponential. It is therefore eroding in geometric progression. We would apply the formula for determining the sum of n terms of a geometric sequence which is expressed as
Sn = a(1 - r^n)/(1 - r)
Where
n represents the number of terms(number of years) in the sequence.
a represents the first term in the sequence(the length 3 years ago)
r represents the common ratio(rate of erosion)
From the information given,
a = 220 feet
r = - 1.5/100 = - 0.015
n = 3
Therefore, the length of the field after 3 years, S3(length of the field now) would be
Sn = a(1 - r^n)/(1 - r)
S3 = 220(1 - (- 0.015^3)/(1 - - 0.015)
S3 = 220.0007425/1.015
S3 = 216.7495 feet
1. Which point represents a value that is less
than -1 and greater than -5?
Holly say 4.131131113 is a rational number which of the following best describes whether holly is correct and why
Answer: Holy is not correct
Step-by-step explanation:
Rational numbers is a decimal number must terminate or repeat. However in this case this number is irational. This is because there is a continues pattern of 1's and 3's
Answer:
holly is not correct
Step-by-step explanation:
Rational numbers is a decimal number must terminate or repeat. However in this case this number is irational. This is because there is a continues pattern of 1's and 3's
Find the greatest common factor of 30 and 75.
Answer:
15
Step-by-step explanation:
prime factorization of 30 is 2*3*5
prime factorization of 75 is 3*5*5
3*5 is common
6. What is the slope of a line perpendicular to the line whose equation is y = 2x -5?*
1) -2
2) 2
3) 1/2
4) -1/2
Answer: -1/2
You get y = 2x - 5, so the slope is 2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is -1/2.
Jack has a part time job selling clothes at a clothing store. He earns
$50 per week plus 10% of the value of her weekly sales. This week Jack
earned $250. What is the total value of his sales this week? *
Answer:
$2,000
Step-by-step explanation:
$250-$50=$200
$200*10=$2,000
Find the volume of the sphere. Round to the nearest tenth, if necessary. (Use π = 3.14)
113.0 in^3
339.1 in^3
28.3 in^3
113.0 in^2
Steps:
Shape: Sphere
Solved for volume
Radius: 3
Formula: V=4 /3πr3
1: know the height. We don't have to round to the nearest tenth. The correct answer for this question is 113.0.
Answer: 113.0
Please mark brainliest
Hope this helps.
Please help, thank you
Answer:
The sum = 4092
Step-by-step explanation:
The sum is equal to A, in which:
A = 4 x (2^0 + 2^1 + 2^2 + ... + 2^9)
= 4 x [(1 + 2^1 + 2^2 + ... + 2^9)(2 - 1)/(2 - 1)]
= 4 x (2^10 - 1)(2 - 1)
= 4 x (2^10 - 1)
= 4 x 1023
= 4092
Hope this helps!
Answer:
4092
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]
where a is the first term and r the common ratio
4[tex](2)^{n-1}[/tex] ← is the n th term of a geometric sequence
with a = 4 and r = 2
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex] , thus
[tex]S_{10}[/tex] = [tex]\frac{4(2^{10}-1) }{2-1}[/tex] = 4(1024 - 1) = 4 × 1023 = 4092
On a coordinate plane, Curtis lives at (-4,-6) and John lives at (-4,-3) . If each unit on the grid is a mile, how many miles apart are John and Curtis.
Answer:
3 miles
Step-by-step explanation:
Since the x coordinates are the same, we only need to find the distance between the y coordinates
-3 - -6
-3 +6
3 units
Each unit is 1 mile
3 units * 1 miles / 1 unit = 3 miles
Find the midpoint between the two points of the line in the image below.
Answer:
(-2,0.5)
Step-by-step explanation:
1st set of Point=(-5,-2)
2nd set of Point=(1,3)
Midpoint=(X1+X2/2 , Y1+Y2/2)
=(-5+1/2 , -2+3/2)
=(-2,0.5)
A rectangle is 6 inches longer than it is wide. Write and simplify an expression for
the perimeter of the rectangle in terms of the width w.
Answer:
L+6=W
Step-by-step explanation:
Answer:
4w + 12
Step-by-step explanation:
w + (w+6) + w + (w+6) = 4w + 12
for perimeter you add all the sided together
w = width
w + 6= length
[tex]S= \frac{n}{2} [2a + (n - 1)d][/tex]
Make d the subject of the formula. Please help I need answer ASAP. Please help!!!!!!!!!!!!
Answer:
d = [tex]\frac{2S-2an}{n(n-1)}[/tex]
Step-by-step explanation:
Given
S = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)d ]
Multiply both sides by 2 to clear the fraction
2S = n [ 2a + (n - 1)d ] ← distribute the bracket by n
2S = 2an + n(n - 1)d ( subtract 2an from both sides )
2S - 2an = n(n - 1)d ← divide both sides by n(n - 1)
[tex]\frac{2S-2an}{n(n-1)}[/tex] = d
Answer:
Hope this helps:)
If so please mark me as Brainliest.
help please
7^-1 x 7^5/7^6
Answer:7^-2
Step-by-step explanation:
7^-1(7^5/7^6)=7^-1*7^(5-6)=7^-1*7^-1=7^(-1-1)=7^-2
Find the minimum value of C=x+3y
Answer:
c
Step-by-step explanation:
2x + 3y > 6 (1)
3x – 2y = 9 (2)
x + 5y = 20 (3)
From (1) and (2), we have:
(2x + 3y) - (3x - 2y) > 6 - 9
5y - x > -3 (4)
From (3) and (4), we have:
(x + 5y) - (5y - x) > 20 - (-3)
2x > 23
x > 12,5 (5)
From (3) and (5), we have:
x + 5y = 20 ⇔ 12,5 + 5y > 20
5y > 7,5
y > 1,5
So: C = 4x + 3y > 12,5 × 4 + 1,5 × 3 = 50 + 4,5 = 54,5
Conclusion: C > 54,5
Convert 1 1/3 to a improper fraction
Answer:
3 2/3
Step-by-step explanation:
Divide 11 by 3 using long division method. then place the quotient as whole number and reminder as numerator and dividend as denominator
The fraction 1 1/3 as an improper fraction is 4/3
How to write an improper fractionFrom the question, we have the following parameters that can be used in our computation:
Fraction = 1 1/3
When converted to an improper fraction, we have
Numerator = 3 * 1 + 1
Evaluate
Numerator = 4
The denominator remains the same
So, we have
Fraction = 4/3
Hence, the fraction is 4/3
Read more about fraction at
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On a coordinate plane, 2 polygons are shown. Polygon A B C D has points (1, negative 6), (5, negative 6), (6, negative 2), and (0, negative 2). Polygon A double-prime B double-prime C double-prime D double-prime has points (1.5, 4), (3.5, 4), (4, 2), and (1, 2). What steps would you take to determine if these figures are similar? Check all that apply. Use a scale factor of 2. Multiply the vertices of polygon ABCD by One-half. Translate the intermediate image 4 units down. Perform two different dilations. Reflect the intermediate image.
Answer:
B and E
Step-by-step explanation:
edge 2021 (??)
What steps would you take to determine if these figures are similar? Check all that apply.
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by One-half.
Translate the intermediate image 4 units down. - CORRECT
Perform two different dilations.
Reflect the intermediate image. - CORRECT
Select the expression that represents the multiplicative inverse of -4. A. -(-4) B. C. 4 D. -4
Answer:
-1/4
Step-by-step explanation:
Multiplicative inverse is another word for reciprocal
It is the number you multiply by to get 1
-4 * x = 1
Divide each side by -4
x = 1/-4
x = -1/4
Answer:
- 1/4
Step-by-step explanation:
- 4 * x = 1
= - 1/4
Hope this helps!
Find the domain of the graphed function A. 2 2 C. 1<= x <= 5 D. x is all real numbers
Can someone please help me
Answer:
1) [tex]\frac{3}{7} = \frac{15}{35}[/tex]
2) [tex]\frac{64}{48}=\frac{4}{3}[/tex]
3) [tex]\frac{21}{56}=\frac{3}{8}[/tex]
Step-by-step explanation:
ESTAS SON FRACCIPONES EQUIVALENTES
1. 3(35)/7 = 15 ENTONCES 15/35
2. 48(4)/3 = 64 ENTONCES 64/48
3. 56(3)/21 = 8 ENTONCES 3/8
Which expression is equal to the expression below?
(7•2)
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
When the exponent is outside the parenthesis, the exponent is connected to every part of the equation.
The first three terms of a geometric sequence are shown below. What is the eighth term of the sequence?
Answer:
A) -128x^8 - 384x^7
Step-by-step explanation:
The pattern is each term is multiplied by -2x which means by the eighth term youll have 8 x's in the first and 7 in the second. As you started off with a positive and multiplied it an even amount of time you'd end up with a negative answer. Think of it like this, it switches with each multiple so it would go: Positive, negative, positive, negative, this will get you a negative in the eighth term.
I know my explanation is a bit bad! I apologize!
Answer:
its a
Step-by-step explanation:
edge 2020 just took the test
What is the slope of a line that is perpendicular to the line in the graph?
Answer:
1
Step-by-step explanation:
The line in the graph has a slope of -1. The slopes of lines that are perpendicular have a product of -1 so the answer is 1.
Solve this inequality.
8x + 6 less than or equel to 54
Answer:
[tex]x\le 6[/tex]
Step-by-step explanation:
We need to solve the given inequality [tex]8x+6\le 54[/tex] ....(1)
Subtract 6 on both sides of the equation as :
[tex]8x+6-6\le 54-6\\\\8x\le 48[/tex]
Dividing both sides of the equation by 8 such that,
[tex]x\le 6[/tex]
So, the value of x is less than equal to 6. Hence, this is the required solution.
Summer Grade 6 PBL 1 Pre-Assessment
1 According to a survey conducted by the Texas Free Press, 125 out of 500 people do not
have internet access at their homes. What percent of the people surveyed do have
internet access at their homes?
I
А
12.5%
B
25%
с
37.5%
D
75%
Tyne here to search
BI
E
12
What time is it if half of what has already passed remains until the end of today?
Answer:
4 p.m.Step-by-step explanation:
We know that a day contains 24 hours in total.
The time already passed will be represented by [tex]x[/tex].
The remaining time would be [tex]\frac{x}{2}[/tex], becasye half of what has already passed remains until the end of the day.
Basically, the sum of these two expression gives 24 hours in total.
[tex]x + \frac{x}{2} =24\\\frac{3x}{2}=24\\ x=16[/tex]
Therefore, the actual time is 4 p.m.
George gets a pay rise from £632 per week to £711 per week. What percentage pay rise was he given?
Answer:
12.5%
Step-by-step explanation:
£632 - 100%
£711 - ?%
?%= (711*100)/632 = 112.5%
112.5-100=12.5%
Help center of circle
Answer:
Center = (7, - 5)
Radius = 3
Step-by-step explanation:
[tex] {x}^{2} + {y}^{2} + 14x - 10y + 65 = 0 \\ {x}^{2} + 14x + {y}^{2} - 10 + 65 = 0 \\ ( {x}^{2} + 14x + {7}^{2}) - {7}^{2} + ({y}^{2} - 10y + {5}^{2}) \\- {5}^{2} + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 - 25 + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 + 40= 0 \\ (x + 7)^{2} + (y - 5)^{2} - 9= 0 \\ (x + 7)^{2} + (y - 5)^{2} = 9 \\ (x + 7)^{2} + (y - 5)^{2} = {3}^{2} \\ equating \: it \: with \: \\ (x - h)^{2} + (y - k)^{2} = {r}^{2} \\ - h = 7 \implies \: h = - 7 \\ - k = - 5 \implies \: k = 5 \\ center = ( - h, \: - k) = (7, \: \: - 5) \\ \\ radius \: r = 3[/tex]
Ubstitute the value for the variable, and state in a complete sentence whether the resulting number sentence is true or false. 20 > 86 − ℎ. Substitute 46 for ℎ.
Answer:
The number sentence is false.
Step-by-step explanation:
The inequality given is
20 > 86 − ℎ
We are to substitute the value of h as 46 to see if the inequality is true or false.
20 > 86 - 46
20 > 40
Since 20 is not greater than 40, the number sentence is false.
*I WILL MARK YOU BRAINLIEST!!!* Whose football reaches a greatest height?
Answer:
Austin's football
Step-by-step explanation:
If you graph the equation for James's ball, you will find that the maximum height is at 5.125 feet. For Austin, it is over 8 feet. Therefore, Austin's ball goes higher. Hope this helps!
Answer:
austin's
Step-by-step explanation:
Ansley’s age is 5 years younger than 3 times her cousin’s age. Ansley is 31 years old.
Let c represent Ansley’s cousin’s age. What expression, using c, represents Ansley’s age?
Answer: the correct answer is 3c-5
Step-by-step explanation: I just solved it
Note that the expression "3c - 5" represents Ansley's age, and if Ansley is 31 years old, her cousin's age (c) would be 12.
How to compute the aboveAccording to the given information, Ansley's age is 5 years younger than 3 times her cousin's age.
We can represent this mathematically as -
Ansley's age = 3 * Cousin's age - 5
Using the variable c to represent the cousin's age, the expression representing Ansley's age would be -
3c - 5
Thus , the expression "3c - 5" represents Ansley's age in terms of her cousin's age (c).
Learn more about expression at:
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find the coordinates of the vertices of the triangle after a reflection across the line x= -1 and then across the x-axis
Answer: C
Step-by-step explanation:
Reflection across x = -1
The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment)
J = (0, 0) is 1 unit to the right of x = -1
J' = (-2, 0) is 1 unit to the left of x = -1
K = (1, 4) is 2 units to the right of x = -1
K' = (-3, 4) is 2 units to the left of x = -1
L = (3, 3) is 4 units to the right of x = -1
L' = (-5, 3) is 4 units to the left of x = -1
Reflection across x-axis
Change the sign of the y-value: (x, y) → (x, -y)
J' = (-2, 0) J'' = (-2, 0)
K' = (-3, 4) K'' = (-3, -4)
L' = (-5, 3) L' = (-5, -3)