Answer: 8 feet
Step-by-step explanation:
Let,
Width= x
Length= x + 4
Perimeter= 24 ft
Now,
2{x+(x+4)}= 24
⇒ x = 4
Width= 4 feet
Length= 8 feet
Find the partial sum sn of the geometric sequence that satisfies the given conditions. a3 = 36, a6 = 288, n = 5
The value of the partial sum of geometric sequence with terms a3 = 36 and a6 = 288 is given by 297. This is obtained by using the concept of partial sum of a geometric progression.
What is geometric progression?
Geometric progression is defined as a series of numbers having a fixed ratio between each term and its preceding term. It is also known as a geometric sequence or G.P., and is exemplified as a1, a2, a3, ….., an
Here, the first term is denoted by a1 and its common ratio is shown by r, which is calculated using the formula a2 by a1. The partial sum of a G.P. is given by a1 ( rn - 1 ) / ( r - 1 ), when r > 1 and a1 ( 1 - rn ) / ( 1 - r ), when r < 1
Calculation of the partial sum of the geometric sequence that satisfies the given conditions. a3 = 36, a6 = 288, n = 5
Given:
Value of a3 = 36
Value of a6 = 288
n = 5
a3 = ar2 — 1
a6 = ar5
Now, a6 / a3 = ar5 / ar2 = 288 / 36
r3 = 8
Taking cube root both sides, we get,
r = 2
Putting the value of r in equation 1,
a3 = a(2)2
36 = 4a
a = 9
As r > 1, using the formula for Sn as a(rn - 1) / (r - 1)
Sn = 9(2n - 1) / (2 - 1)
Sn = 9(2n - 1)
Using n = 5, we have,
Sn = 9[(2)5 - 1]
Sn = 9(32 - 1)
Sn = 9 × 33
Sn = 297
Hence, the value of the partial sum of a G.P. is 297
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stuck on this question
Answer: itll be less than 3/4 pound
Step-by-step explanation:
the amount of watermelon would be 1.5/4 or 3/8. this is because all of the recipe would be divided by 2
Answer:
less than 3/4 pound
Step-by-step explanation:
I really need help it’s kinda hard for me..
Answer:
first answer is 5535 second answer is 11934 third answer is 4140 fourth answer is 10373 the fifth answer is 17408 sixth answer is 3240 seventh answer is 12773 eighth answer is 4928 ninth answer is 13325
Step-by-step explanation:
this took to long
3
3
−10+7=3, cubed, minus, 10, plus, 7, equals
Answer:
10+ 7 is equal to 17 cube is the answer
Which numbers are a distance of 7 units from 1 on a number line?
Select the location on the number line to plot each point.
+111
++
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
1 2 3
4
PLEASE HELP
The distance of 7 units from 1 on a number line give the number 8 and -6.
What is defined as the number line?A number line is a straight line to numbers placed at regular spacing or segments it along length in mathematics. A number line could be extended in any direction indefinitely and is typically represented horizontally.The chosen number on number line is 1.
When moving 7 units from 1 on the right hand side;
Add 7 units to 1 gives 8.
thus, moving 7 units to the right of number line gives 8.
For, moving 7 units to the left of number line;
subtract 7 units from 1.
1 - 7 = -6
Thus, moving 7 units to the left of number line gives -6.
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jaden is designing a rectangular park that has an area of 24,000 sqaure foot. One side must be less than 100 feet long and the other side must be greater than 100 feet but less than 1000 feet long. PLEASE HELP!!!!
Two possible dimensions for the sides of the rectangular park that has an area of 24,000 square foot are of:
48 ft and 500 ft.
What are the area and the perimeter of a rectangle?Considering a rectangle of length l and width w, we have that the area and the perimeter are given, respectively, by:
Area: A = lw.Perimeter: P = 2(l + w).For this problem, we have these following constraints:
A = 24,000.100 < l or w < 1000.l or w < 100. (the side that is not used for the above constraint).Attributing w = 500, we can apply the area's formula to find the desired width, as follows.
A = lw
500l = 24000
l = 24000/500
l = 48 ft.
The dimensions are of 48 ft and 500 ft, and they are in ft because the area is in ft².
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10. Parallelogram QRST with vertices Q(2, -1),
R(7, 1), S(6, -2), and T(1, -4):
a) Reflection points Q'R'S'T' are as follows:
Q' ( -2, -1 )
R' ( -7, 1 )
F' ( -6, -2 )
G' ( -1, -4 )
b) Translation points Q''R''S''T'' as follows
Q'' ( -1, -8 )
R'' ( 4, -6 )
F'' ( 3, -9 )
G'' ( -2, -11 )
Given data
Q(2, -1),
R(7, 1),
S(6, -2),
T(1, -4).
How to find the reflection in the y axisThe reflection in y axis is gotten by changing the signs of the x instance:
Reflecting across y axis is done for example A ( x, y ) to AA
AA will be ( -x, y ).
a) Using this procedure we get reflection points Q'R'S'T' as follows
Q ( 2, -1 ) ⇒ Q' ( -2, -1 )
R ( 7, 1 ) ⇒ R' ( -7, 1 )
S ( 6, -2 ) ⇒ F'' ( -6, -2 )
T ( 1, -4 ) ⇒ G'' ( -1, -4 )
How to find the translation ( x - 3, y - 7)Translation about a given value is done as follows say point B ( 5, 10 ) and the translation of ( x - 2, y - 3 ) the new points will be
BB ( 5 - 2, 10 - 3 ) = BB ( 3, 7)
b) Using this procedure we get translation points Q''R''S''T'' as follows
Q ( 2, -1 ) ⇒ Q'' ( -1, -8 )
R ( 7, 1 ) ⇒ R'' ( 4, -6 )
S ( 6, -2 ) ⇒ F' ( 3, -9 )
T ( 1, -4 ) ⇒ G' ( -2, -11 )
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The intensity of sound is measured on the decibel scale, dB. The equation
dB 10 log I represents the decibel level, where I is the ratio of the sound to
the human hearing threshold. A noise registers a decibel level of 29. What is the
value of I? Round to the nearest whole number.
A) 42071
B) 18
C) 89
D) 794
Answer: D) 794
Step-by-step explanation:
[tex]10lgI=29[/tex]
Divide both parts of the equation by 10:
[tex]lgI=2.9\\\\I=10^{2.9}\\\\I\approx794[/tex]
TRUE OR FALSE? An increase in sales represents a positive integer.
The statement "An increase in sales represents a positive integer" is; True
What is a positive Integer?
Positive integers are actually part of a larger group of numbers called integers. Integers are all the whole numbers, both positive and negative
Now, when there is an increase in sales, we can term this as a positive sign. However, it should be noted that increase in sales cannot be fraction or decimal and as such must be a whole number. Thus, an increase in sales is termed as a Positive Integer.
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starting with the number 0, build a sequence of 5 numbers
Answer:
0,-1 , -2 ,-3 ,-4 ,-5
Step-by-step explanation:
i think this is the answer but i can't confirm because your theory and my theory can be different
let me know if this was helpful
pls help …………………?………….
Answer:
The Last box. (y=1/2x-4)
Step-by-step explanation:
The formula is y=mx+b
b is the interception point on the y axis.
So the -4 is where the line crosses on the y axis.
mx is how many spaces it goes up or down.
If you look the box goes up or down twice then left or right once.
So that's your answer, hope this helps.
in geometry what is n = 1
how much storage space does your music use? here is a dotplot of the file sizes (to the nearest tenth of a megabyte) for 18 randomly selected files on nathaniel’s mp3 player:
According to the given statement the mean would decrease.
All of the data values fall within the range [-2.3,8 .9]
Statics is a field of study:Methods for calculating the forces between objects are studied in statics. Body motion and shape changes are caused by forces, which are also responsible for keeping bodies in equilibrium.
What does "mean" signify in math?A dataset's mean is calculated by dividing the sum of all values even by total number of values. The geometric mean is not the same as this one; it is called the arithmetic mean. The term "average" is frequently used to describe it because it is the most widely used central tendency metric.
According to the given data:We have, the given data set
2.4, 2.7, 1.6 , 1.3 , 6.2, 1.3, 5.6, 1.1, 2.2, 1.9, 2.1, 4.4, 4.7, 3.0, 1.9, 2.5, 7.5, 5.0
Arrange the data in ascending order.
1.1, 1.3, 1.3, 1.6, 1.9, 1.9, 2.1, 2.2, 2.4, 2.5, 2.7, 3.0, 4.4, 4.7, 5.0, 5.6, 6.2, 7.5,
Divide the data in 4 equal parts.
(1.1, 1.3, 1.3, 1.6), 1.9, (1.9, 2.1, 2.2, 2.4),( 2.5, 2.7, 3.0, 4.4), 4.7, (5.0,5.6, 6.2, 7.5)
Q1 = 1.9
Q3 = 4.7
IQR = Q3 - Q1
= 4.7 - 1.9
= 2.8
SO,
The interval [Q1 - 1.5IQR ,Q3 + 1.5IQR]
The interval [Q1 - 1.5(2.8) ,Q3 + 1.5(2.8)]
The interval [-2.3 , 8.9]
All of the data values fall within the range [-2.3,8 .9]
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I understand that the question you are looking for is:
How much storage space does your music use? Here is a dot plot of the file sizes (to the nearest tenth of a megabyte) for 18 randomly selected files on Nathaniel's mp3 player: The distribution of file size has a mean of
2.4 2.7 1.6
13
6.2
1.3
5.6
1.1 2.2
1.9
2.1
4.7
3.0
1.9
2.5
7.5
500
irections: use the strategies we practiced in class.
..) You are making 20 mint chocolate bars and 24 caramel pecan bars for some gift boxes. If each box contains the same
ars, what is the greatest number of gift boxes you can put together?
2.) How many mint chocolate and caramel bars will be in each gift box?
a) The greatest number of gift boxes that can be put together is 4.
b) Number of mint chocolate in gift box = 5
Number of caramel pecan bars in gift box = 6
Highest common factor or greatest common factor of two number is the greatest factor that divides the numbers.
According to the question we have been given that
number of mint chocolate = 20
number of caramel pecan bars = 24
a) We have to find the greatest number of gift boxes. For that we will find H.C.F of 20 and 24.
Factors of 20 = 2 * 2 * 5
Factors of 24 = 2 * 2 * 2 * 3
The H.C.F is 4 as it is the greatest that divides the two numbers.
Thus the greatest number of gift boxes that can be put together is 4
b) Number of mint chocolate in gift box = 20/4 = 5
Number of caramel pecan bars in gift box = 24/4 = 6
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What calculation estimates the primary macronutrient the body uses for energy at a given point in time?
The calculation that estimates the primary macronutrient the body uses for energy at any given point in time is the Catabolic quotient.
What is the Catabolic quotient?The Catabolic quotient is used to show the amount of macronutrients that are being catabolized to produce energy at any given time.
This allows us to know how much macronutrients the body needs depending on the activities that a person is engaged in at the time. This is important for nutritional requirements as a result.
Options for this question are:
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-5/7+1/3
in simplest form
Answer: -8/21
Step-by-step explanation:
-5/7= -15/21
1/3=7/21
-15/21+7/21= -15+7=18
(15-7=8)
-8/21
Simplified Solution:
[tex]-\frac{8}{21}[/tex]
Hope this helps!
-24 ≤ 2x-10 <-6 how to solve for x
Answer:
SOLVE FOR X
x∈[−7,8)
step explanation:
there is no solve for x just straight answer
Evaluate the radical expression 256−−−√4.
Each horse at a ranch eats 20 pounds of hay each day . A. complete the table to show how much hay different numbers of horses eat each day .B, what is the unit rate for pounds of hay per horse. C, When a group of ration are the equivalent its means there is a proportional relationship between the quantities is there a proportional relationship between the pounds of hay eaten daily and the number of horses.Explain
Don't answer sorry
From the given situation, we have that:
A. The table is completed as follows:
2 horses - 40 pounds.3 horses - 60 pounds.4 horses - 80 pounds.5 horses - 100 pounds.6 horses - 120 pounds.7 horses - 140 pounds.B. The unit rate is of 20 pounds of ray per horse.
C. There is a proportional relationship between the pounds of hay eaten daily and the number of horses, because the division of the output(pounds of hay) by the input(number of horses) always results in a constant.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
Each horse at a ranch eats 20 pounds of hay each day, hence the proportional relationship that models the total amounts of hay consumed by x horses is given by:
y = 20x.
The table is completed as follows, with the bolded numbers being the empty positions in the table.
2 horses - 40 pounds.3 horses - 60 pounds.4 horses - 80 pounds.5 horses - 100 pounds.6 horses - 120 pounds.7 horses - 140 pounds.Considering the relationship y = 20x, we have that:
B. The unit rate is of 20 pounds of ray per horse.
C. There is a proportional relationship between the pounds of hay eaten daily and the number of horses, because the division of the output(pounds of hay) by the input(number of horses) always results in a constant.
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Find |x| when x = 5 and x = -5
O |5| = 5 and |-5| = -5
O |5| = - 5 and | - 5| = 5
O Both values are 5.
O Both values are - 5.
Answer:
c) Both values are 5
Step-by-step explanation:
Value of x when it is 5,
→ |5| = 5
Value of x when it is -5,
→ |-5| = 5
Hence, both values are 5.
7. Solve the following: 10,400,000 - 8,200,000 Write your answer in scientific notation.
Answer:
2,200,000=2.2x10^6
Step-by-step explanation:
() Which number is closest to √88 ?
9.8
10.1
9.3
8.5
Answer:
9.3
Step-by-step explanation:
9.3 squared = 86.49
9.8 squared = 96.04
8.5 squared = 72.25
10.1 just gonna be higher
A video game store has 60 games to choose from, including 40 sports games. What is the ratio of sports games to video games?
A ratio indicates how many times one number contains another.
2/3 is the ratio of sports games to video games.
What is Ratio?A ratio indicates how many times one number contains another.
A video game store has 60 games to choose from, including 40 sports games. We need to find the ratio of sports games to video games.
To find the ratio of sports games to video games. We need to divide Number of sports games by number of video games.
Ratio=Number of sports games/number of video games.
=40/60
Divide numerator and denominator by 20.
=2/3
Therefore the required ratio is 2/3 for sports games to video games.
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What is the difference in surface area between a cube with an edge length of 7 inches and a cube with edge length of 4 inches?
A. 18 in²
B. 33 in²
C. 66 in²
D. 99 in²
E. 198 in²
The difference between the surface areas is 198 square inches
How to determine the difference between the surface areas?The side lengths are given as:
L = 7 inches
l = 4 inches
The difference between the surface areas is calculated as:
Difference = 6(L^2 - l^2)
Substitute the known values in the above equation
Difference = 6(7^2 - 4^2)
Evaluate
Difference = 198
Hence, the difference between the surface areas is 198 square inches
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Find the perimeter of the polygon with the given vertices. Round your answer to the nearest hundredth.
N(2,
M(4, C
The perimeter is about
units.
L
According to the given statement,
the perimeter is 10.99 units.
What is perimeter?A closed path that covers, 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. The measurement of the fence needed to completely enclose a yard or garden is called the perimeter. How far a wheel or circle will roll in one revolution is determined by its circumference, or perimeter. Similar to this, the circumference of a spool is related to the length of string looped around it; if the string's length were correct, it would match the circumference.
According to the given value ,
We have a triangle with points in:
X // Y
N 2 // 0
P -1 // -2
M 4 // 0
We can solve for the side of the triangle by subtracting the points to calculate the distance between them, AKA the side of the triangle.
M - N = NM = 4 - 2 = 2 units of X
M - N = NM = 0 - 0 = 0 units of Y
This has a length of 2 units of X and 0 units of Y thus, we already have a line of size 2.
Next side:
N - P = 2 -(-1) = 3 units of x
N - P = 0 - (-2) = 2 units of Y
We have a length of 3 units of X and 2 of Y we use Pythagoras to get the length of NP:
Now, we do the same with MP:
M - P = 4 - (-1) = 5 units of X
M - P = 0 - (-2) = 2 units of Y
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Willie’s age w and Jenny’s age j are related by the equation j = 2w - 12. When Willie is 16.5 years old, how old will Jenny be?
Square root of 20 greater, less then or equal to 4
The equation 26+0.25p=c gives the cost c in dollars that a store charges to deliver an appliance that weighs p pounds. Use the equation and a table to find the weight of an appliance that costs $56 to deliver.
Answer:
120 pounds
Step-by-step explanation:
26+0.25p=c
c=56
26+0.25p=56
Subtract 26 from both sides.
0.25p=30
Divide 0.25 from both sides.
p=120
It costs $56 for 120 pounds.
Hope this helps!
Please mark as brainliest if correct!
the numbers 1 through 25 are written on 25 cards with one number on each card. sara picks one of the 25 cards at random. what is the probability that the number on her card will be a multiple of 2 or 5? express your answer as a common fraction.
3/25 is the possibility that the range on her card might be a a couple of of two or 5.
what does a possibility mean?
The possibility serves as a gauge for the way probably an occasion is to occur. It gauges how probably an occasion is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the method for possibility.
Total range of playing cards = 25 (Given)
Total viable range of playing cards which can be top range = 8
[ They are 2, 3, 5, 7, 11, 13, 17, 23 ]
P(top range) = 8/25
Total viable range of playing cards which can be even = 12
[They are 2, 4, 6, 8, 10, 12, 14, 16, 18. 20, 22, 24]
P(even range) = 12/25
Total viable range of playing cards which can be multiples of 5 = 5
[They are 5, 10, 15, 20 ,25]
P(multiples of 5) = 5/25
P(multiples of 5) = 1/5
Total viable range of playing cards which can be divisible through 6 = 4
[They are 6, 12, 18, 24]
P(Divisible through 6) = 4/25
Total viable range of playing cards that with the range 4 = 3
[They are 4, 14, 24]
P(with the range 4) = 3/25
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help needed with both. show work. a and b
a)
Soln,
Given,
Radius(r) = 8cm
Length/height(h) = 50cm
Then,
Volume of given prism = πr^2h
= 22/7×(8cm)^2×50cm
= 10057.14286cm^3
Therefore,The volume of the given prism is 10057.14286cm^3
b)
Soln,
Given,
Radius(r) = 8cm
Length/height(h) = 50cm
Then,
C.S.A. of the given prism = 2πrh
=2×22/7×8cm×50cm
=2514.285714cm^2
Therefore,C.S.A. of the given prism is 2514.285714cm^2