Answer:
A = 3.14 mm²
Step-by-step explanation:
The formula for the area of a circle of radius r is A = πr². If your circle has diameter 2 mm, then the radius is half that, or 1 mm. The area of the circle will then be A = (3.14)(1 mm)², or 3.14 mm².
Note: the spelling of π is 'pi,' not 'pie.'
A scientist collected a sample of data of cactus heights. If the minimum score was 3 feet and the range was 4 feet, what was the maximum score?
The maximum score in the sample of cactus heights is 7 feet.
The scientist collected a sample of data on cactus heights. The minimum score in the sample was 3 feet and the range was 4 feet. The question asks for the maximum score in the sample. To find the maximum score, we can use the formula:
Maximum score = Minimum score + Range
Substituting the given values, we get:
Maximum score = 3 feet + 4 feet = 7 feet
Therefore, the maximum score in the sample of cactus heights is 7 feet.
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why isn't anyone answering this?
a ball of mass m is attached to the end of a string of length l. if the ball is swung in a vertical circle with uniform speed v, calculate the ratio of the tension tt in the string when the ball is at the top of its path to tb when the ball is at the bottom of its path.
To calculate the ratio of the tension (Tt) in the string when the ball is at the top of its path to (Tb) when the ball is at the bottom of its path, follow these steps:
1. At the top of the path, the tension Tt and gravitational force mg act in the same direction. The centripetal force is provided by the sum of these two forces. Therefore:
Tt + mg = (m*v^2)/l
2. At the bottom of the path, the tension Tb acts opposite to the gravitational force mg. The centripetal force is provided by the difference between these two forces. Therefore:
Tb - mg = (m*v^2)/l
3. Divide the equation at the top of the path by the equation at the bottom of the path to find the ratio Tt/Tb:
(Tt + mg)/ (Tb - mg) = ((m*v^2)/l) / ((m*v^2)/l)
4. The centripetal force terms on the right side of the equation cancel out:
(Tt + mg)/ (Tb - mg) = 1
5. Rearrange the equation to find the ratio Tt/Tb:
Tt/Tb = (Tb - mg) / (Tt + mg)
So, the ratio of the tension Tt in the string when the ball is at the top of its path to Tb when the ball is at the bottom of its path is (Tb - mg) / (Tt + mg).What is Ratio: The relative size of two quantities expressed as the quotient of one divided by the other; the ratio of a to b is written as a:b or a/b.
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If the simple interest on $7000 for 7 years is $3430, then what is the interest rate?
The interest rate will be 7%
What is simple interest?A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount.
Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,
The formula for simple interest is:
S = p*t*r/100
the simple interest on $7000 for 7 years is $3430
r = S*100/(p*t)
r = (3430*100)/(7000*7)
r = 7%
Hence the interest rate will be 7%
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Which answer best describes the system of equations shown in the graph?
A. NoSolution. B. One Solution
C. Infinitely Many Solutions
Which expression represents “7 more than x” 7+x x-7
x÷7 7x
Answer:
7+x
Step-by-step explanation:
this could also be written as “x + 7” and it means 7 more than (+) x
Answer:
It is 7+x (✿◠‿◠)
an airplne can cruise at 640 mph how far can it fly in 3/5 of an hour
The plane can fly 384 miles in 3/5 hours.
An airplane can cruise at 570 miles per hour.
We have to find the distance travelled by airplane in 4/3 hours.
Distance = Speed x Time
Distance = 640 x 3/5
Distance = 128 x 3
Distance = 384 miles
Hence, The plane can fly 384 miles in 3/5 hours.
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there are 25 2525 students in ms. nguyen's second-grade class. in the class election, 4 44 students voted for benjamin, 12 1212 voted for sahil, and 9 99 voted for maria. what percentage of the class voted for maria? % %
The percentage of the students of the class voted for Maria is 36%.
Number of students in Ms. Nguyen's second grade = 25
Number of students voted for Benjamín = 4
Number of students voted for Sahil = 12
Number of students voted for Maria = 9
The total number of students who voted in the class election is,
4 + 12 + 9 = 25
This is the same as the total number of students in the class.
So all students participated in the election.
The percentage of the class that voted for Maria is simply,
= (9/25) ×100
= 36%
Therefore, 36% of the students in Ms. Nguyen's second-grade class voted for Maria.
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The above question is incomplete, the complete question is:
There are 25 students in Ms. Nguyen's second-grade class. In the class election, 4 students voted for Benjamin, 12 voted for Sahil, and 9 voted for Maria. What percentage of the class voted for Maria?
What is the volume of this entire prism
Answer:
520 cubic centimeters (cm^3)
Step-by-step explanation:
volume = length * width * height
length = 13
width = 5
height = 4 + 4, so height = 8
volume = (13) * (5) * (8)
volume = 520 units
Since the given measurements are in centimeters and the answer is the volume of the prism, the answer must be in cubic centimeters
So, the final answer is 520 cubic centimeters (cm^3)
I would appreciate Brainliest, but no worries.
hey can someone please help me
Answer:
b = 11.31
a = 12
Step-by-step explanation:
a.
64 + 64 = c^2
c^2 = 128
c = 11.31
answer b = 11.31
b.
soh cah toa
cos = adj/hyp
cos 60 = 6/hyp
hyp = 6/cos 60
hyp = 6/.50
hyp = 12
if f(x) = 5x-2 and g (x) = 2x + 1 find (f-g) (x)
Answer:
idont know
sorry this hard haah lol
Step-by-step explanation:
sorry
help me........... .
Answer:
I do not see the question.
Step-by-step explanation:
Yo plz help I have no clue what im doing
Answer:
hi
Step-by-step explanation:
formula for volume of a pyramid with a square base
The formula for finding the volume of a pyramid with a square base is :
(1/3) * side length squared * height.
The formula for the volume of a pyramid with a square base is:
Volume = (1/3) * Base Area * Height
Where:
Base Area is the area of the square base of the pyramid (length of one side squared: A = s^2, where "s" is the length of one side of the square base)
Height is the perpendicular distance from the base to the apex (top) of the pyramid.
Combining these values, the formula becomes:
Volume = (1/3) * s^2 * Height
So, the volume of a pyramid with a square base can be calculated by multiplying one-third of the base area by the height of the pyramid.
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Which of the following characteristics best describes the given function of
f(x) = 2* + 5 ?
A) always increasing, maximum, quadratic function, vertical symmetry
B) always increasing, maximum, exponential function, vertical symmetry
C) always increasing, no maximum or minimum, exponential function, no vertical symmetry
D) always decreasing, maximum, exponential function, vertical symmetry
Answer:
B
Step-by-step explanation:
it is an exponential function
Solve the following LP formulation and determine the number of Surplus units in constraint B.
SOLUTION
From the what is given
\(\begin{gathered} x+y\le5 \\ x\ge3 \\ 2y\le8 \\ x\ge0 \\ y\ge0 \end{gathered}\)We have the graph as shown below
We are told that the MAX is
\(5x+2y\)Substituting these required points into the equation, our maximum becomes
\(\begin{gathered} 5x+2y \\ \text{For (3, 2)} \\ 5(3)+2(2)=15+4=19 \\ \text{For }(3,\text{ 0)} \\ 5(3)+2(0)=15+0=15 \\ \text{For (5, 0)} \\ 5(5)+2(0)=25+0=25 \end{gathered}\)We can see that the maximum is 25 at for units of 5, that is x = 5
But we are told in (B) that
\(x\ge3\)Hence the surplus unit is
\(5-3=2\)Hence the answer is 2
Solving equations involving vertical angles
Given the figure below, find the values of x and z.
Answer:
\(x=5\\z=94\)
Step-by-step explanation:
As they are vertical angles
∴\(7x+51=86\\=>7x=35\\x=5\)
And,
∴\(86+86+z+z=360\\=>2z=188\\z=94\)
I have added an image for your further observation
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true/false. triangulation can be used to find the location of an object by measuring the angles
True. Triangulation can be used to find the location of an object by measuring the angles.
Triangulation is a method used to determine the location of an object by measuring the angles between the object and two or more reference points whose locations are known.
This method is widely used in surveying, navigation, and various other fields.
By measuring the angles, the relative distances between the object and the reference points can be determined, and then the location of the object can be calculated using trigonometry.
Triangulation is commonly used in GPS systems, where the location of a GPS receiver can be determined by measuring the angles between the receiver and several GPS satellites whose locations are known.
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Iq scores are known to be normally distributed. the mean iq score is 100 and the standard deviation is 15. what percent of the population has an iq over 115?
The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115
According to the statement
we have to find that the what percent of the population has an iq over 115.
And from given information,
the mean iq score is 100 and the standard deviation is 15.
And
Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
And by use of this formula, we find the percentage of the population has an iq over 115.
Then the result will comes as 100%.
hence, 100%-Norm.Dist(value,mean,sd,true)
So, The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115.
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I don’t know this question
Help me
Answer: Probably negative 69
What is the missing integer?
Answer:
2
Step-by-step explanation:
-3-2=-5
its almost like you are doing addition when all the numbers are negative so if u add it together and then and the negative at the end this should help you remember
Answer:
\(2\)
Step-by-step explanation:
We want to solve this following equation for \(x\): \(-3-x=-5\).
We can add \(3\) to both sides of the equation to get \(-x=-2\).
We can then divide both sides of the equation by \(-1\) to get \(x=2\).
So, the missing integer is \(\boxed{2}\).
Note: \(2=5-3\). Coincidence?
3. A phone company set the following rate schedule for an m-minute
call from any of its pay phones.
c(m) =
=
0.70
0.70+ 0.24(m - 6)
0.70+ 0.24([m-6] + 1)
when m≤ 6
when m > 6 and m is an integer
when m> 6 and m is not an integer
a. What is the cost of a call that is under six minutes?
b. What is the cost of a 14-minute call?
c. What is the cost of a
1912-m
9-minute call?
The obtained answers for the given piecewise function are:
(a) The cost of a call that is under six minutes is 0.70 (m < 6)
(b) The cost of a 14-minute call is 2.62 (m > 6; m is an integer)
(c) The cost of a 9 1/2 minute call is 1.66 (m > 6; m is not an integer)
What is a piecewise function?A piecewise function is given by different functions at different intervals.
Calculation:It is given that,
phone company set the following rate schedule for an m-minute call from any of its pay phones.
C(m) = 0. 70 when m ≤ 6
= 0.70 + 0.24(m - 6) when m > 6 and m is an integer
= 0.70 + 0.24([m - 6] + 1) when m > 6 and m is not an integer
(a) The cost of a call that is under six minutes:
Since m < 6, the cost is C(m) = 0.76
Thus, the cost of a call that is under six minutes is 0.76
(b) The cost of a 14-minute call:
Since 14 > 6, the cost is C(m) = 0.70 + 0.24(m - 6) when m > 6 and m is an integer.
C(14) = 0.70 + 0.24(14 - 6)
= 0.70 + 0.24(8)
= 0.70 + 1.92
= 2.62
Thus, the cost of a 14-minute call is 2.62.
(c) The cost of a 9 1/2 minute call:
9 1/2 = 19/2 = 9.5
Since 9.5 > 6, the cost is C(m) = 0.70 + 0.24([m - 6] + 1) when m > 6 and m is not an integer.
C(9.5) = 0.70 + 0.24([9.5 - 6] + 1)
= 0.70 + 0.24([3.5] + 1)
Since we know that if [x] is a function then its domain is R and the range is Z(integer)
So, [3.5] = 3(is an integer)
Then,
C(9.5) = 0.70 + 0.24(3 + 1)
= 0.70 + 0.96
= 1.66
Therefore, the cost of a 9 1/2 minute call is 1.66.
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Cynthia was asked to subtract 0.223 from 0.54. Which of the following is the best estimate that Cynthia can make to check her answer?
A. 0.4 − 0.2
B. 0.5 − 0.2
C. 0.5 − 0.1
D. 0.6 − 0.2
Answer:
b
Step-by-step explanation:
0.223 rounds to 0.2 and 0.54 rounds to 0.5 so 0.5-0.2
Can anyone please simplify this?:
(7^3)^6
Answer:
7^18
Step-by-step explanation:
When you have an exponent to another exponent, you can multiply the exponents.
(7^3)^6
3*6 = 18
7^18
what is the maximum possible value of a sine ratio? in two or more complete sentences, explain your answer
The Sine Ratio is written as \(\frac{Perpendicular }{Hypoynuse}\) , then the maximum possible value of a Sine Ratio is 1 .
What is Sine Ratio ?
In a Right Triangle , the Sine of angle is defined as the ratio of length of the opposite side divided by the length of the hypotenuse .
we know that the domain for the Sine function is ⇒ all real numbers ;
and the range of Sine function is ⇒ [-1,1] ;
so , from the range we can conclude that , the maximum value is 1 .
Therefore , the maximum value of Sine ratio is = 1 .
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10% more than a number of 132
Solve the equation for x in terms of c.
2/3 (cx + 1/2) - 1/4 = 5/2 \(\frac{2}{3}\left(cx+\frac{1}{2}\right)-\frac{1}{4}=\frac{5}{2}\)
A.) x = 9/4c \(\frac{9}{4c}\)
B.) x = 27/8c \(\frac{27}{8c}\)
C.) x= 29/18c \(\frac{29}{18c}\)
D.) x = 29/8c \(\frac{29}{8c}\)
Answer:
D
Step-by-step explanation:
Simplify and rearrange to solve.
2/3 (cx + 1/2) - 1/4 = 5/2
2/3 (cx + 1/2) = 5/2 + 1/4
2/3 (cx + 1/2) = 11/4
cx + 1/2 = 11/4 divided by 2/3
cx + 1/2 = 33/8
cx = 33/8 - 1/2 = 29/8
x= 29 / 8 divided by x = 29/8c.
Hope this helps.
The answer is D.) 29/8c
the prove and how to work it
The spare change on a dresser is composed of pennies, nickels, and dimes. If the ratio of pennies to nickels is 2:3 and the ratio of pennies to dimes is 3:4, what is the ratio of nickels to dimes
The ratio of nickels to dimes in the spare change on the dresser is 9:8. This means that for every 9 nickels, there are 8 dimes in the spare change on the dresser.
Let's start by assigning variables to the number of pennies, nickels, and dimes. We can represent the number of pennies as 2x, where x is a positive integer. According to the given ratio of pennies to nickels (2:3), the number of nickels would be 3/2 times the number of pennies, which is 3x. Similarly, according to the ratio of pennies to dimes (3:4), the number of dimes would be 4/3 times the number of pennies, which is 8x/3.
To find the ratio of nickels to dimes, we need to compare their quantities. The number of nickels is 3x, and the number of dimes is 8x/3. To make the comparison easier, we can multiply both quantities by 3 to eliminate the fractions. This gives us 9x nickels and 8x dimes.
Therefore, the ratio of nickels to dimes is 9:8. This means that for every 9 nickels, there are 8 dimes in the spare change on the dresser.
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Can someone help me? It's urgent and thank you!
Answer:
1
------
3(x-2)
Step-by-step explanation:
x+3 4x
------ * --------------
12x x^2 +x -6
Factor
x+3 4x
------ * --------------
3*4x (x+3)(x-2)
Cancel like terms
1 1
------ * --------------
3 (1)(x-2)
1
------
3(x-2)
A line passes through the points (-5, 2) and (10, -1). Which is the equation of the line?
Answer:
y=-1/5x+1
Step-by-step explanation
-1-2/10+5
-3/15
-1/5
Plug it in:
=-1=-1/5(10)+b
1=b