Answer:512
Step-by-step explanation:
Answer:
512
Step-by-step explanation:
8*8*8=512
4.1 A bag contains 6 red, 4 green, 2 yellow and 3 blue balls. In each case, give the ratio (in simplest form) of the asked number of balls in the bag.( 4 ) 4.1.1 The number of red balls to the number of green balls.
The number of red balls to the number of green balls is 3 : 2
How to determine the ratio?The distribution of the balls is given as:
6 red, 4 green, 2 yellow and 3 blue balls
The number of red balls to the number of green balls is represented as:
Ratio = Red : Green
So, we have:
Ratio = 6 : 4
Simplify
Ratio = 3 : 2
Hence, the number of red balls to the number of green balls is 3 : 2
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If the area of a square inscribed in a circle is
25, what is the area of the circle?
The area of a square inscribed in a circle is 25, then the area of the circle is 25π/2 or approximately 39.27 square units.
To solve this problem, we can use the relationship between the area of a square inscribed in a circle and the area of the circle itself.
When a square is inscribed in a circle, the diagonal of the square is equal to the diameter of the circle. Let's assume that the side length of the square is 's' and the radius of the circle is 'r'.
We are given that the area of the square is 25, so we can find the side length of the square:
Area of square = \(s^2 = 25\)
Taking the square root of both sides, we get:
s = √25 = 5
Since the diagonal of the square is equal to the diameter of the circle, we can find the diameter of the circle:
Diagonal = Diameter = s√2 = 5√2
The radius of the circle is half the diameter, so:
Radius = 5√2 / 2 = (5√2)/2
Now, we can calculate the area of the circle using the formula:
Area of circle = \(\pi r^2\)
Substituting the value of the radius, we get:
Area of circle = π((5√2)/\(2)^2\) = π(25/2) = 25π/2
Therefore, the area of the circle is 25π/2 or approximately 39.27 square units.
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A car is driving away from El Paso with constant velocity. At 1 p.m., it is 145 miles away from El Paso. At 3 p.m., it is 275 miles away from El Paso.
Part A: Write a linear function that describes the distance (in miles) the car is from El Paso in terms of time (in hours after 12:00 p.m.).
The linear function that describes the distance (in miles) is therefore y = 65x + 80
How to solve for the linear functionWe have to find the slope and the intercept in other to get the linear function
The data points are:
(1, 145) and (3, 275).
m = (y2 - y1) / (x2 - x1)
fixing the data points we have
m = (275 - 145) / (3 - 1)
= 130 / 2
= 65
y = mx + b
(1, 145):
145 = 65(1) + b
b = 145 - 65
= 80
y intercept is 80
The linear function is therefore y = 65x + 80
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HELP PLEASE DUE IN 10 MIN
The correct statement regarding the measure of variability used to represent the data is given as follows:
The IQR of 10 is the most accurate to use, as the data is skewed.
How to obtain the interquartile range?The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.
It is the measure of variability to be used when a data-set contains outliers, or is skewed, as is the case for this problem.
The charity received 18 donations, hence the quartiles are given as follows:
First quartile: 0.25 x 18 = 4.5th element = median of 10 and 15 = 12.5.Third quartile: 0.75 x 18 = 13.5th element = median of 20 and 25 = 22.5.Hence the IQR is given as follows:
IQR = 22.5 - 12.5
IQR = 10.
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A national diet company markets a special diet plan which requires dieters to use frozen meals prepared by the company. The company advertises that those who follow their plan for 10 weeks will lose, on the average, at least 10 lbs. A consumer group is suspicious of this claim, believing that the weight lose is, on average, much less. If m represents the mean weight loss the population of all American adults would experience after 10 weeks on the plan, what is the appropriate alternative hypothesis that the consumer group wishes to test?a. Ha: mu < 10 b. Ha: mu > 10 c. Ha: mu (notequal)10 d. Ha: mu (notequal) 0
Ha:mu<10 is the appropriate alternative hypothesis that the consumer group wishes to test .
How would you define hypothesis?
An assumption or notion is called a hypothesis when it is put forth with the purpose of debating whether it might be true.
In the scientific process, the hypothesis is developed prior to the completion of any relevant study, other than a brief background review.
Ha:mu<10
Because A consumer group is suspicious of this claim, believing that the weight lose is, on average, much less.
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The ratio 4:5 is equivalent to
(i) 80%
(ii) 60%
(iii) 40%
(iv) 20%
If u ans i will give 40 points and mark brainlyest
Answer:
(i)
Step-by-step explanation:
express the ratio as a fraction, that is
4 : 5 = \(\frac{4}{5}\)
to convert the fraction to a percentage multiply it by 100%
\(\frac{4}{5}\) × 100% = 4 × 20% = 80%
I am lost please help thank you all
Answer:
Step-by-step explanation:
At least 9 means more than 9 and includes 9
x ≥ 9 and [9, +∞)
At most 9 means numbers less than 9
x≤9 and (-∞, 9]
more than 9 means bigger than 9 but not including 9
x > 9 and (9, +∞)
fewer than 9 means less than 9 but not including 9
x<9 and (-∞, 9)
strictly between 7 and 9 means between 7 and 9 but not including
7<x<9 and (7,9) (This is the only one I'm unsure of. Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)
between 7 and 7 inclusive. means it's just =7 There's no boundaries
x=7
no more than 7 means less than 7 and includes 7
x ≤ 7 and (-∞, 7]
Convert .00853 to a percent.
a .00853%
b .0853%
c .853%
d 8.53%
what will be the appropriate scale to represent the below table
We can write the scale factor for the table as {K} = y/x.
What is scaling?Scaling is a procedure through which we draw an object that is proportional to the actual size of the object. Scaling in geometry means that we are either enlarging or shrinking figures so that they retain their basic shape.Given is to determine the scale for the given table.
Since the table is not given, we can learn how to find the scale for the table. A table will be consisting of {x} and {y} coordinates.So, we can write the scale factor as : {K} = y/xTherefore, we can write the scale factor for the table as {K} = y/x.
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There are 73 milligrams of cholesterol in a 3.8 ounce serving of lobster. How much cholesterol is in 9 ounces of lobster?A 9 ounce lobster has approximately (blank)milligrams of cholesterol.(Round to the nearest tenth as needed.)
From the question we are given that;
73 milligrams of cholesterol = 3.8ounce of serving lobster
Required
Amount of cholesterol in 9ounces lobster. To get that we can say;
x = 9 ounces of serving lobster.
Solve for x;
73mg of cholesterol = 3.8 ounces of lobster
x mg of cholesterol = 9 ounces of lobster
Cross multiply;
3.8 * x = 73 * 9
3.8x = 657
x = 657/3.8
x = 172.9mg
Hence a 9 ounce lobster has approximately 172.9milligrams of cholesterol.
An extremely large sink hole has opened up in a field just outside of the city limits. It is difficult to measure across the sink hole without falling in so you use congruent triangles. You have one piece of rope that is 50 ft. long and another that is 70 ft. long. You pick a point A on one side of the sink hole and B on the other side. You tie a rope to each spot and pull the rope out diagonally back away from the sink hole so that the other ends of the two ropes meet at point C. Then you recreate the same triangle by using the distance from AC and BC and creating new segments CE and CD. The distance DE is 52.2 ft.
a. What type of triangles have you created?
b. How do you know the triangles are congruent?
c. How far across is the sink hole?
d. What is the perimeter of the triangle ABC?
A) The type of triangles are congruent triangles
B) By the use of SAS Congruency Postulate
C) The distance across for the sink hole is: 52.2 ft
D) The perimeter of triangle ABC is: 172.2 feet.
How to solve congruent triangles?A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.
B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.
C) We know that:
AB = ED = 52.2
AB is the distance across the sink hole. Thus, it is 52.2 feet
D) AB = 52.2
BC = 70
AC = 50
Thus:
Perimeter of triangle ABC = AB + BC + AC
Perimeter of triangle ABC = 52.2 + 70 + 50
Perimeter of triangle ABC = 122.2 + 50
Perimeter of triangle ABC = 172.2
The perimeter of triangle ABC is 172.2 feet.
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Answer:
Step-by-step expA) The type of triangles are congruent triangles
B) By the use of SAS Congruency Postulate
C) The distance across for the sink hole is: 52.2 ft
D) The perimeter of triangle ABC is: 172.2 feet.
How to solve congruent triangles?
A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.
B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.
C) We know that:
AB = ED = 52.2
AB is the distance across the sink hole. Thus, it is 52.2 feet
D) AB = 52.2
BC = 70
AC = 50
Thus:
Perimeter of triangle ABC = AB + BC + AC
Perimeter of triangle ABC = 52.2 + 70 + 50
Perimeter of triangle ABC = 122.2 + 50
Perimeter of triangle ABC = 172.2
The perimeter of triangle ABC is 172.2 feet.
lanation:
x=3(x-15)
can you guys show work
Answer: x = 45/2
Step-by-step explanation:
x=3(x-15)
x=3x-45
-2x=-45
x=45/2
Keep it as a fraction to keep it simple or you can make it a decimal which is x = 22.5
Y=-4x-2 and intersects at the points (4,-1)
Answer:
It doesn't intersect at that point
\({ \bf{y = - 4x - 2}} \\ y = - (4 \times 4) - 2 \\ y = - 18\)
Answer: N/A
Step-by-step explanation:
The line y = -4x - 2 does not go through the point (4, -1); it only passes through the point (4, -4(4) - 2) = (4, -18)
The length of the sides of a square measure 2x-5. The length of a rectangle measures 2x, and the width measures x + 2. For what value of x is the perimeter of the square the same as the perimeter of the rectangle?
Answer:
\(x = 12\)
Step-by-step explanation:
Perimeter of a square:
The perimeter of a square of side x is given by:
\(P_s = 4x\)
Perimeter of a rectangle:
The perimeter of a rectangle of length l and width w is given by:
\(P_r = 2(l + w)\)
The length of the sides of a square measure 2x-5.
This means that the perimeter of the square is:
\(P_s = 4(2x - 5) = 8x - 20\)
The length of a rectangle measures 2x, and the width measures x + 2.
This means that the perimeter of the rectangle is:
\(P_r = 2(2x + x + 2) = 2(3x + 2) = 6x + 4\)
For what value of x is the perimeter of the square the same as the perimeter of the rectangle?
This is x for which:
\(P_s = P_r\)
So
\(8x - 20 = 6x + 4\)
\(8x - 6x = 20 + 4\)
\(2x = 24\)
\(x = \frac{24}{2}\)
\(x = 12\)
what is 8/18 simplest form
Answer:
4/9
Step-by-step explanation:
8/2=4
18/2= 9
Answer = 4/9
NOTE: JUST SIMPLIFY 2 IN BOTH SIDES
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
-1 7/8 divided by -6 equals
Exact Form:
5/16
Decimal Form:
0.3125
hope i get brainlest :3
they police use a speed gun to monitor one part of a highway. During one hour, 6 out of 25 Cars we're traveling above the speed limit. what percent of the Cars were traveling above the speed limit?
explain how you solved it:
By taking a quotient we will see that the percent is 24%.
What percent of the Cars were traveling above the speed limit?The percent will be given by the quotient between the number of cars that have a speed above the speed limit, and the total number of cars (and we multiply that by 100%)
There are 25 cars in total, and 6 of these have a speed above the speed limit, then the percent is:
p = (6/25)*100% = 24%
So 24 percent of the cars are travelling above the speed limit.
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pls helppp me for brainleist
The value of x from the given figure is 19°.
Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.
From the given figure,
(7x+2)°=135°
7x=135-2
7x=133
x=133/7
x=19
Therefore, the value of x from the given figure is 19°.
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4(x - 6y)=..................
plsssssssssssssssssssssssssssssssssssssss
Answer:
a)90, 84
b) 89
c) 86 is the new median
Step-by-step explanation:
Median: average of middle data points: 90
Mean: (74+86+82+94)/4=84
(x+74+86+82+94)/5=85 so x=89
New median is 86.
what is the solution of the equation -2=-4+t
Answer: t = 2
Step-by-step explanation:
Answer:
-2+4=+t
bring -4 to the other side of equal sign
it will change to +4
answer
2 = t
what is the sum 3/x+9+5/x-9
Answer:
\(\frac{8}{x}\)
Step-by-step explanation:
what is the sum 3/x+9+5/x-9
\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\) (add \(\frac{3}{x}\) and \(\frac{5}{x}\))
\(\frac{8}{x} + 9 - 9 =\) (solve 9 - 9 = 0)
\(\frac{8}{x}\) ( your answer)
Which of these is the correct ratio of strawberries to blueberries for the fruit salad?
A. 8 strawberries: 30 blueberries
B. 8 strawberries: 8 blueberries
C. 4 strawberries: 30 blueberries
D. 32 strawberries: 30 blueberries
The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).
What is the ratio?
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.
The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.
(8 x 4) : 30
32 : 30
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Answer: A. 8 strawberries: 30 blueberries
Step-by-step explanation:
Lucy and Tanya rent an apartment together. The monthly total amount they owe includes $950 for rent, $100 for parking and $50 for utilities. If Lucy and Tanya spit the total amount they owe evenly between the two of them, how much does Lucy owe each month?
Lucy owe $550 each month.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
The monthly total amount they owe includes $950 for rent, $100 for parking and $50 for utilities.
So, the total they have spend on all assets
= 950+ 100 + 50
= 1100
So, they will split the amount
= 1100/2
= $550
Hence, Lucy owe $550.
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13.068 the same as 13.608
Answer:
No its not
Step-by-step explanation:
13.603 is more then 13.068
Zac collected 4 pounds of aluminum cans. Eduardo collected 7/8 as many pounds as Zac. How many pounds of aluminum cans did Eduardo collect? *
Answer:
Eduardo collected 0.875 pounds can
Step-by-step explanation:
have a nice day dear
What is the common ratio of the geometric sequence?
Number graph ranging from zero to ten on the x axis and zero to twenty-eight on the y axis. Points are plotted on the graph at (one, eight), (two, twelve), (three, eighteen) and (four, twenty-six point five). The points form a general positive trend.
A geometric series is one in which there is a constant between two successive numbers in the series.
What is geometric progression?When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.
The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression
Suppose the series is given as
2,4,8,16,32,64.........
The common difference is defined as the ratio of the next term to the previous term.
From the above series, the common ratio is calculated as,
Common ratio = 4 / 2
Common ratio = 2
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In angle PQR, PR is extended through point R to point S, mPQR = (3x + 12),
mRPQ = (3x – 11)', and mQRS = (8x – 9)°. What is the value of x?
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
m∠QRS =(10x−12)∘(10x−12) = (10(4.7) - 12) (10(4.7) - 12) = (35) (35) = 1225
Step-by-step explanation:
2. The value of the 4th term is 80. The sequence is beingdoubled at each step. Write the recursive equation for thissequence.
which of the following quantites are inversely proportional? the number of cats and the time it takes to use 5 lb bag of dry cat food if each cat eats the same amount of food per time interval