The volume of the smaller cone is approximately \(5.5 cm^3\), rounded to the nearest tenth
If the cones are similar, then the ratio of the corresponding dimensions of the cones is the same.
Let's denote the height and radius of the smaller cone as h and r, respectively. Then, the height and radius of the larger cone are 3h and 2r, respectively.
Since the volumes of the cones are proportional to the cube of their radii and heights, we can write:
(volume of smaller cone) / (volume of larger cone) = \((r^2 * h) / ((2r)^2 * 3h)\)
Simplifying this expression, we get:
(volume of smaller cone) / (volume of larger cone) = 1/12
Since we are given that the volume of the larger cone is \(66 cm^3\), we can solve for the volume of the smaller cone as follows:
(volume of smaller cone) =\((1/12) * (66 cm^3) = 5.5 cm^3\)
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if you get it right, you are a critical thinker. you were in the garden, there are 34 people in the yard. you kill 30. how many people are in the garden. i won against
There is only one person in the garden.
How to determine the number of people that remain?The given parameters are
There are 34 people in the yard You kill 30 peopleSo the number as per the riddle is that the yard and the garden are the same
So, it means that you killed 30 people and the other 4 people escaped from the backyard.
So if the other 4 people escaped, the implication is that only the killer is left in the garden
In conclusion, the killer should understand that out of fear, all that were not killed will run away and he will be left alone. This means that only the killer was left = 1 person
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You have a total of 12 cards in four different colors. The probability of drawing a green card is the same as the probability of drawing a yellow card. The probability of drawing a red card is 1-4 and of drawing a blue card is 1-12. How many green cards are in the box
Answer:
4
Step-by-step explanation:
Let's start with the easiest bits.
We know the probability of drawing a red card is 1/4, this means every four cards there is one red. So, 12/4 = 3, there are 3 red cards in the 12 card pile.
Next, we are also given the probability of drawing a blue card us 1/12. In the same fashion, we can figure out there is 1 blue card.
Finally, we are told the probability of drawing a green card is the same as drawing a yellow card. Therefore there is the same amount of green cards as yellow.
There are 8 cards left that are green or yellow, as 12 - 1 - 3 is 8. 8/2 is 4, so there are 4 green cards in the box.
Hope this helps!
Find the volume:
20 ft.
18 ft.
4 ft.
4 ft.
Answer:
Both Triangle faces' area are 36. You'll need to multiply 36 by 2. now you need to multiply 4 by 20 which then would be 400. multiply 400 by 2 which would be 800. Now going back to 36 by 2 would be 72. Now 72·400=28800.
Step-by-step explanation:
Since it's a triangle prism , you find the area of the 2 triangle faces and than multiply the 2 faces and then multiply the the rest of the other numbers
Answer:
Step-by-step explanation:
Triangle faces' area are 36. You'll need to multiply 36 by 2. now you need to multiply 4 by 20 which then would be 400. multiply 400 by 2 which would be 800. Now going back to 36 by 2 would be 72. Now 72·400=28800.
Step-by-step explanation:
Since it's a triangle prism , you find the area of the 2 triangle faces and than multiply the 2 faces and then multiply the the rest of the other numbers
Find the value of x in
2x+3y= 22
3x + y = 19
\(2x+3y=22\\3x+y=19|\cdot(-3)\\\\2x+3y=22\\\underline{-9x-3y=-57}\\-7x=-35\\x=5\)
Find the percent of change from 3,545 pt to 709 p
Answer:
80%
Step-by-step explanation:
We need to find the percent of change from 3,545 pt to 709 pt.
Original value is 3,545
Changed value is 709
Percent change is given by :
\(\%=\dfrac{\text{difference in values}}{\text{original value}}\times 100\\\\\%=\dfrac{3545-709}{3545}\times 100\\\\\%=80\%\)
So, there is 80% of change from 3,545 pt to 709 pt.
What is the area of this rectangle? (area=length*width)
Step-by-step explanation:
we know that,
area of rectangle = length × breadthNow,
rectangle PQRS has it's
breadth = 3
length = 4+b
Then,
area of rectangle PQRS = (4+b) × 3
= 12 + 3b
Hence,
The area of rectangle is 12+3b.
What is the area of this figure?
13 in
6 in
8 in
s in
5 in
17 in
10 in
Write your answers using decimals, If necessary.
Answer:
If i am correct the area should 337inches..........
Step-by-step explanation:
my reason is becuase if you multiply these numbers
13* 6 = 78 and 8 * 8 = 64 and 10 * 17 + 170 and last 5 * 5 = 25
they you add 170+ 78 + 64 + 25 = 337inches so means the answer is 337 Your Welcome :D
Find the compound amount for the deposit. Round to the nearest cent. \( \$ 500 \) at \( 6 \% \) compounded quarterly for 3 years
The compound amount for a deposit of $500 at an interest rate of 6% compounded quarterly for 3 years is approximately $595.01.
To calculate the compound amount, we can use the formula:
\(A = P(1 + r/n)^{nt}\)
Where:
A = Compound amount
P = Principal amount (initial deposit)
r = Annual interest rate (in decimal form)
n = Number of compounding periods per year
t = Number of years
In this case, the principal amount (P) is $500, the annual interest rate (r) is 6% (or 0.06 in decimal form), the compounding periods per year (n) is 4 (quarterly), and the number of years (t) is 3.
Substituting these values into the formula:
\(A = 500(1 + 0.06/4)^{4*3}\\\\A = 500(1 + 0.015)^{12}\\A = 500(1.015)^{12}\\A = 500(1.195618355)\)
A = $ 595.01
Therefore, the compound amount for a deposit of $500 at an interest rate of 6% compounded quarterly for 3 years is approximately $595.01, rounded to the nearest cent.
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3/5 plus 1/4 in simplest form please
Answer:
17/20
Step-by-step explanation:
3/5 + 1/4
The common factor is 20, so we have
12/20 + 5/20 = 17/20
We can't simplify 17/20 any further, so the answer is 17/20
Paul gets $5 every week for doing his chores. He is saving his money to buy a skateboard that costs $85. He has already saved $25.
Which equation describes the number of weeks (w) that it will take Paul to save enough money to buy the skateboard?
Let x be the number of weeks it will take Paul to save enough money to buy the skateboard.
In one week, Paul earns $5, so in x weeks he will earn 5x dollars.
Since he already has $25 saved, the total amount of money he will have after x weeks is:
5x + 25
To be able to buy the skateboard that costs $85, Paul needs to save up an additional:
85 - 25 = 60
Therefore, we can set up the following equation to find the number of weeks it will take Paul to save up enough money:
5x + 25 = 60
Simplifying and solving for x:
5x = 35
x = 7
Therefore, it will take Paul 7 weeks to save up enough money to buy the skateboard.
The equation that describes the number of weeks (w) that it will take Paul to save enough money to buy the skateboard is:
5w + 25 = 85
Evaluate the expression if b=3 and c=1/3.
3c / (2b²)
After evaluation we get the above expression 1/18
What is mathematical expression?It is the mathematical statement that expresses the method of a mathematical operation in a symbolic way. An expression is developed based on two or more terms along with operator. The terms are variables and numbers. In a word, an expression is either combination of numbers, operators or numbers, variables, operators.
How to evaluate the above expression?we are given an expression
3c/ (2b²)
the value of b and c are also given, b= 3 and c = 1/3
The expression is written in fractional form that has 2 numbers and 2 variables. The number are 2 and 3, variables are c and b
The numerator 3c and the denominator 2b²
if we put the value of b and c
(3×1/3) / (2×9) =1/18
hence the result 1/18
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scores at a truck pull were based on the distance the truck stopped from the finish line. order these scores from least to greatest: -5 3/4 , -7.2 , 9 , and 3 1/8
The scores, in order from least to greatest, are:
-7.2, -5 3/4, 3 1/8, 9. Therefore, the final order is: -7.2, -5 3/4, 3 1/8, 9
What is the Decimal form?A decimal form is a way of expressing numbers in the base-10 number system, which is the number system we use in everyday life. In decimal form, a number is represented by a combination of digits, where the rightmost digit represents units (ones), the next digit represents tens, the next represents hundreds, and so on. Each digit is multiplied by a power of 10, determined by its position in the number.
-7.2 , -5 3/4 , 3 1/8, 9
The numbers are already in decimal form, so we can compare them directly.
-7.2 is less than -5.75
-5.75 is less than 3.125
3.125 is less than 9
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Complete the system of equations with a linear equation so that the graphs of the equations intersect at their x- and y-intercepts.
y=x^3+4x+3x+12
y=?
The required system of equation is given as y = 3x + 12 and y=x³+4x²+3x+12.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Given equation,
y=x³+4x²+3x+12
To determine the x-intercept put equation y = 0
0 = x³+4x²+3x+12
Factorize the above equation
0=(x²+3)(x+4)
One of the factors from above is given as
x+4=0
x = -4
The x-intercept is (-4,0)
For the y-intercepts, x=0 and solve.
y = 12
y = 12
The y-intercept is (0,12)
Now equation of the line passing these points is given as.
m = (y₂ - y₁) / (x₂ - x₁)
m = 12/3
m = 3
C, we already have C=12
So the equation of the line is
y = mx + c
y=3x+12
Thus, the required system of equation is given as y = 3x + 12 and y=x³+4x²+3x+12.
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You earn $48 for washing 6 cars. How much do you earn for washing 2 cars?
Answer:
the function y=mx+b all you have to do is fill in what you need. The equation would be y=$12x+$48 the x is how many additional cars there are. The y would be the answer.
Step-by-step explanation:
Answer: $18
Step-by-step explanation:
If angle S and angle T are complementary, and angle T and angle U are supplementary, then angle U is a(n) _________ angle
Answer:
Obtuse angle
Step-by-step explanation:
S and T are complementary. So, S and T are less than 90°.
T and U are supplementary. So, sum of T and U is 180°.
Since, T is less than 90°, U must be greater than 90°. Hence angle U is an obtuse angle.
Which of the following statements are always true about matrices?
Two matrices are equal if they are both square matrices.
Two matrices with different sizes cannot be equal.
A 2 x 3 matrix has 2 rows and 3 columns.
Two matrices are equal if their corresponding elements are equal.
Answer:
B, C, D
Step-by-step explanation:
edge 2023
Instructions: Interpret the function given in the context ofthe real-world situation described to answer the question.Nichole bought a new car. The depreciation equation isgiven by f(x) = 27,000(.86), where a representsthe number of years since the purchase of the car, andf(x) represents the value of the car. By what percentdoes Nichole's car depreciate each year?%
The depreciation equation is given by
\(f(x)=27000(0.86^x)\)where x represents the number of years. Here, the initial value of the car corresponds to x=0, then we have
\(\text{ initial value = f\lparen0\rparen=27000}\)After one year, the car value corresponds to x=1, that is,
\(\text{ after 1 year = f\lparen1\rparen=27000\lparen0.86}\rparen^1\text{=27000}\times0.86=\text{23220}\)Now, let's find the depreciation percentage by means of a rule of three:
\(\begin{gathered} 2700\text{ ----- 100 \%} \\ 23220\text{ ------- x} \end{gathered}\)so we have
\(x=\frac{23220\times100}{27000}=86\text{ \%}\)So the difference between 100% and 86% is 14% This means Nichole's car depreciate 14% each year
Is this statement true or false?
Your credit history is important when you are trying to find a place to rent.
A) true
B) false
Answer:
True
Step-by-step explanation:
Renters probably aren't going to rent to you if you have a poor credit history.
hope this helps, brainliest appreciated!
The correct answer is (A) True.
Why Not false ?
Your credit history is really very important when you are trying to find a place to rent because you need to pay the deposit also along with the rents in advance if your credit history is excellent then the rental will definitely give his place to you on rentHence the credit history is really very important for finding a place on rent.
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(20 points) i need help with this asap (the x is -20)
Answer:
119º and 61º
Step-by-step explanation:
2x-15 and 3x+5 are supplementary because the angles corresponding to 2x-15 is supplementary with 3x+5
2x-15+3x+5=180
5x-10=180
5x=190
x=38
fill in x
2(38)-15
=76-15
=61
angle is 61
fill in x for angle 2
3(38)+5
=114+5
=119
angle 2 is 119
Leo is going to use a random number generator 400400400 times. Each time he uses it, he will get a 1, 2, 3,4,1,2,3,4,1, comma, 2, comma, 3, comma, 4, comma or 555.What is the best prediction for the number of times that Leo will get an odd number
The best prediction for the number of times that Leo will get an odd number is 200.
The probability of getting an odd number (1 or 3) is 2/4 = 1/2.
Using the expected value formula, we can predict the number of times that Leo will get an odd number:
Expected number of odd numbers = (probability of getting an odd number) x (total number of trials)
Expected number of odd numbers = (1/2) x (400) = 200
Therefore, the best prediction for the number of times that Leo will get an odd number is 200.
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Solve the inequality algebraically. (x−5)²(x+6) < 0
List the intervals and sign in each interval.
The inequality (x−5)²(x+6) < 0 holds true for -6 < x < 5. In this interval, the expression is negative.
To solve the inequality algebraically, we need to find the intervals where the expression (x−5)²(x+6) is less than zero.
First, let’s analyze the factors:
1. (x−5)² will be positive or zero for all real values of x except x = 5, where it is zero.
2. (x+6) will be positive or zero for all real values of x except x = -6, where it is zero.
Next, we examine the intervals created by the critical points:
Interval 1: x < -6
In this interval, both factors are negative. The product of two negatives is positive, so the expression is greater than zero.
Interval 2: -6 < x < 5
In this interval, (x−5)² is positive, but (x+6) is negative. The product of a positive and a negative is negative, so the expression is less than zero.
Interval 3: x > 5
In this interval, both factors are positive. The product of two positives is positive, so the expression is greater than zero.
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Hi, please help me with this question. I would like an explanation of how its done, the formula that is used, etc.
How many integers are there in the sequence 17, 23, 29, 35, ..., 221?
There are 34 integers in the given sequence. The formula for the nth term of an arithmetic sequence is: a_n = a_1 + (n - 1) d. We can use the formula for the number of terms of an arithmetic sequence: n = (a_n - a_1 + d)/d
The formula for the nth term of an arithmetic sequence is: a_n = a_1 + (n - 1) d. Where: a_1 = first term n = number of terms d = common difference a_n = nth term. The formula for the number of terms of an arithmetic sequence is: n = (a_n - a_1 + d)/d. We can use these two formulas to solve the given problem.
The given sequence is in arithmetic progression with common difference d = 6:17, 23, 29, 35, ..., 221Using the formula for the nth term of an arithmetic sequence: a n = a 1 + (n - 1)d Where: a 1 = first term n = number of terms d = common difference a n = 221We need to find n.
Here's the formula for the number of terms of an arithmetic sequence: n = (a n - a 1 + d)/d. Putting the values: n = (221 - 17 + 6)/6n = 204/6n = 34Thus, there are 34 integers in the given sequence.
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4. Nicky has a part-time job at the market. She recorded the number of hours she worked each week for the last month and how much she was paid after taxes to the table given below. If the paycheck amount varies directly with the hours worked, how much is Nicky paid per hour, after taxes? * Hours Worked Paycheck amount ($) 130.76 149.44 65.38 102.74 16 11
we use cross-multiplication
take a pair and try to find the pay per hour
\(\begin{gathered} 14h\longrightarrow130.76 \\ 1h\longrightarrow x \end{gathered}\)\(\begin{gathered} x=\frac{1h\times130.76}{14h} \\ x=9.34 \end{gathered}\)to check we can take other pair
\(\begin{gathered} 7h\longrightarrow65.38 \\ 1h\longrightarrow x \end{gathered}\)\(\begin{gathered} x=\frac{1h\times65.38}{7h} \\ x=9.34 \end{gathered}\)the paid per hour is $9.34
help is it a b c or d
Answer:
The last one)
6 21/64 in.3
Step-by-step explanation:
Simply multiply LxWxH, (length x width x height.)
LxWxH= 3 1/2in x 1 7/8 in x 2 3/4 in= 6 21/64 in.3.
what is this pleasee i give brainliest
The Slope of the line is -3/2
How to find Slope of the Line ?By Substituting x=26
=1/9/8*26+8/3
=-3/2
The slope formula is as follows if P(x1,y1) and Q(x2,y2) are the two points on a straight line:Slope, m = Y-coordinate change / X-coordinate changem = (y2 – y1)/(x2 – x1) (x2 – x1)As a result, using the formula above, we can quickly determine the slope of a line connecting two locations.The rise of the line from one point to another (along the y-axis) over the run is another way to describe the slope of a line between two points (along x-axis). A line's slope provides information on the steepness and direction of the line. By calculating the difference between the coordinates of the two points, (x1,y1) and (x2,y2), it is simple to calculate the slope of a straight line between them.To learn more about Slope of the Line refer to:
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What is the probability that a standard normal random variable will be between .3 and 3.2?
There is a 0.3814 percent chance that a standard normal random variable will fall between 0.3 and 3.2.
In the posed query,
We must determine the likelihood that a standard normal random variable will occur with a probability between 0.3 and 3.2.
First, a standard normal random variable with a mean and standard deviation is introduced.
We must determine the likelihood that a standard normal random variable will fall within the range of 0.3 and 3.2.
The likelihood therefore should be
P(0.3<z<3.2)=P(z<3.2)−P(z<0.3)
Using z's typical value
P(0.3<z<3.2)=0.9993−0.6179
Simplifying
P(0.3<z<3.2)=0.3814
According to the z table, there is a 0.3814 percent chance that a standard normal random variable will fall between 0.3 and 3.2.
Option A is the proper response, so.
The complete question is:-
What is the probability that a standard normal random variable will be between .3 and 3.2?
A. .3814
B. .3808
C. .9993
D. .6179
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2x-y=168y=4(4x-32) what is the solutions for the system of equations
According to the question the solutions for the system of equations \(2x - y = 168\) and \(y = 4(4x - 32)\) are \(x = 34\) and \(y = 68\).
To find the solutions, we can substitute the value of y from the second equation into the first equation and solve for x. Let's start by substituting y in the first equation:
2x - (4(4x - 32)) = 168
Simplifying the equation:
2x - (16x - 128) = 168
2x - 16x + 128 = 168
-14x + 128 = 168
-14x = 168 - 128
-14x = 40
x = 40/-14
x = -20/7
Now that we have found the value of x, we can substitute it back into the second equation to solve for y:
y = 4(4(-20/7) - 32)
y = 4(-80/7 - 224/7)
y = 4(-304/7)
y = -1216/7
Therefore, the solutions for the system of equations are x = 34 and y = 68.
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For what value of n is |n− 1| + 1 equal to 0 ?
Answer:
|n - 1| + 1 = 0
|n - 1| = -1
no solution
can somebody please help, i'll mark you as brainiest and no links:)
Answer:
\(28\)
Step-by-step explanation:
The formula for the area of the shape is given is equal to its base multiplied by its height. We're given a base of 7 and height of 4, hence the area is \(7\cdot 4=\boxed{28}\)
Which of the x-values satisfy the following inequality? 7x<21
Answer:
x < 3
Any x less than 3
Step-by-step explanation:
7x < 21
Divide both sidesby 7
x < 3
Any x less than 3
Answer:
Answers (A) and (B)
Step-by-step explanation:
cant explain currently tell me if you would like me to explain