The circumference of the circle is 18.84 meters and the area is 28.26 square meters, where C is the circumference, π is a mathematical constant approximately equal to 3.14,
The circumference of a circle is the distance around it. It is calculated by using the formula C = 2πr, where C is the circumference, π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle. The radius is the distance from the center of the circle to any point on the edge.
In this case, the radius is 3 meters, so the circumference is C = 2πr = 2 × 3.14 × 3 = 18.84 meters.
The area of a circle is the amount of space it takes up. It is calculated by using the formula A = πr², where A is the area, π is the same mathematical constant as before, and r is the radius again.
In this case, the radius is 3 meters, so the area is A = πr² = 3.14 × 3² = 28.26 square meters.
To round to the nearest hundredth, we can simply add two zeros to the end of the decimal places. This gives us a circumference of 18.840 meters and an area of 28.260 square meters.
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Guided Practice
Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern. 4, 6, 9, 13, . . .
A.
Add 2 to the first term, 3 to the second term and continue, adding 1 more each time; 18, 24.
B.
Add 2 to the previous term; 15, 17.
C.
Add 12 of the previous term; 19.5, 29.25
Answer:
A.
Explanation:
4 goes up 2 to 6. 6 goes up 3 to 9. 9 goes up 4 to 13. Therefore, you can expect 13 to go up 5 to 18, and 18 to go up by 6 to 24.
Is the ratio 4.2:1.5 proportional to the ratio 12:5? Explain.
Answer:
No.
Step-by-step explanation:
We can set this proportion up as:
\(\frac{4.2}{1.5}=\frac{12}{5}\)
For this to be true, cross-products need to be equal:
\(4.2(5)=12(1.5)\),
However, we can see that this is not the case:
\(4.2\cdot 5 \neq 12 \cdot 1.5\)
Therefore, these ratios are not proportional.
Evaluate the expression for A=3
32-4a
Hi ! Dude
Answer:
20 is the correct answer
Step-by-step explanation:
Given :a = 3 and ,An expression = 32 - 4aWhat we have to do :After reading question we can understand that we have to find the value of expression by plugin the value of a .
Solution Starts :\( \qquad \: \rightarrow 32 - 4a \)
Plugin value of a ,
\( \qquad \:\rightarrow \: 32 - 4(3)\)
\(\qquad \: \rightarrow \: 32 - 12\)
\(\qquad \: \rightarrow \: \underline{ \underline{20}}\)
Hence , 20 is the answer .
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\(\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)
Evaluate the expression for a=3
32-4a
\(\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)
Provided Information:-
a=3The expression \(\bold{32-4a}\)
To Find:-
Simplify the expression 32-4a
In order to do that, we should
Substitute 3 in lieu of a:-\(\tt{32-4(3)}\)
Multiply:-
\(\tt{32-12}\)
Subtract:-
\(\dashrightarrow\bigstar\boxed{\boxed{\underline{\bold{20}}}}\dashleftarrow\)
So our final solution is 20.
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Suppose that f has a domain of (7,11] and a range of [4,14]. (a) What are the domain and range of the function y=f(x)+2 ? (Use symbolic notation and frictions where needed. Give your answers as intervals in the form (+,∗). Use the symbol [infinity] fo infinity and the appropriate type of parenthesis "(". ")". " [. or " ] " depending on whether the interval is open or closed.) D= R= (b) What are the domain and range of the function y=f(x+2)? (Use symbolic notation and fractions where necded. Give your answers as intervals in the form (*. *). Use the symbol oo fo infinity and the appropriate type of parenthesis "(". ")". "[". or "]" depending on whether the interval is open or closed.)
(a) The domain of the function y = f(x) + 2 is D = (7, 11], R = [6, 16]
(b) The domain of the function y = f(x + 2) is D = (5, 9], R = [4, 14]
(a) The domain of the function y = f(x) + 2 is the same as the domain of the function f(x), which is (7, 11]. The range of the function y = f(x) + 2 is obtained by adding 2 to the endpoints of the range of f(x), which is [4, 14]. Therefore, the range of y = f(x) + 2 is [6, 16].
(b) The domain of the function y = f(x + 2) is obtained by subtracting 2 from the endpoints of the domain of f(x), which is (7, 11]. So the domain of y = f(x + 2) is (5, 9]. The range of the function y = f(x + 2) is the same as the range of the function f(x), which is [4, 14]. Therefore, the range of y = f(x + 2) is [4, 14].
In summary, for the function y = f(x) + 2, the domain is (7, 11] and the range is [6, 16]. For the function y = f(x + 2), the domain is (5, 9] and the range is [4, 14].
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In a right triangle, given are the
lengths of two sides. What should be
used to solve for the length of the
third side?
*
Answer:
bro you can find 3rd side by using pythogras thegrom
Step-by-step explanation:
1\(h ^{2} = p ^{2} + {p}^{2} \)Please answer the following question
Answer:
first give options it is very hard to do
question 4 while verifying cleaned data, a data analyst encounters a misspelled name. which function can they use to determine if the error is repeated throughout the dataset? 1 point case counta check count
To determine if a misspelled name is repeated throughout a dataset, a data analyst can use the COUNT function. This function counts the number of occurrences of a value in a range of cells.
Alternatively, the data analyst could use the COUNTA function, which counts the number of cells in a range that contain data (including text and numbers, but not empty or blank cells). The COUNTA function would also count the number of occurrences of the misspelled name in the dataset.
What is a dataset, using an example?
A collection of numbers or values pertaining to one subject constitutes a data set. An example of a data set might be each student's test scores for a certain class. The amount of fish that each dolphin eats in an aquarium is a data set.
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Can you help me find this answer?
Step-by-step explanation:
These two angles are same side corresponding interior angles so they are equal to each other
\(5x + 20 = 120\)
\(5x = 100\)
\(x = 20\)
Which of the following statements about points are true?
A. They have length but no height.
B. Their sizes vary.
C. Their size depends on their dimensions.
D. They have no size and no dimensions.
Answer:the answer is D hope this helps
Step-by-step explanation:
The mean mass of five men is 76 kg. The masses of four of the men are 72 kg, 74 kg, 75 kg and 81 kg. What is the mass of the fifth man
Answer:
78kg
Step-by-step explanation:
76×5= 380kg
380-72-74-75-81= 78kg
It measure the degree of accuracy of the sample mean as an estimate of the population mean
Answer:
The answer is the standard error is a measure of the accuracy of the sample mean as an estimate of the population mean.
Step-by-step explanation:
please help thank you!!!
Answer:
s = 11.7 ft
Step-by-step explanation:
The bedroom is square, and the area A is equal to 137 ft^2.
Since the area formula for a square is A = s^2, s = √A.
Here, s = √137 ft, or s = 11.7 ft (to the nearest tenth of a ft)
Factor the polynomial by its greatest common monomial factor.
14x2 + 28x5
What is the midpoint of a segment with endpoints at (3,5) and (7,7)
Answer:
5,6
Step-by-step explanation:
its a guesssssssssssssssssssssss
Joey owns 32 ties.
3
8
1
of the red ties have stripes.
2
How many of the ties are red? How many of the red ties have stripes?
.
of the ties are red.
Complete the sentences by selecting the correct answers from the drop-down menus.
Joey has _____
red ties. ______
of the red ties have stripes.
Joey has 12 red ties, and 6 of the red ties have stripes.
We know that 3/8 of the ties are red, and 1/2 of the red ties have stripes.
First, let's find out how many of the ties are red:
Joey has 32 ties, and 3/8 of them are red.
32 × (3/8) = 12 red ties.
Now, let's find out how many of the red ties have stripes:
There are 12 red ties, and 1/2 of them have stripes.
12 × (1/2) = 6 red ties with stripes.
So, Joey has 12 red ties, and 6 of the red ties have stripes.
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an equation is shown. x + 3 = 8.5 what is the solution to the equation
Answer:
mbcnnb.hhhhjsjsjsnwjwnnwnwnenenebebeneme dcecvejsksmemebeccehsnsnsne evvenekeiekekenbegegevebbehehenebebbebebendhfhhcjcmc d d ecevegjskdkdklxbxbcbfdvvdvdhejrklnssfbmjffbb c
Step-by-step explanation:
nbsnsmsmlslakwj
((7, 6), (0,-1), (-7, -1), (-3, 2), (-5, 3) } Domain. Range
What is 86 Inches in Feet?
86 inches are equivalent to 7.17 feet
To convert inches to feet, you can divide the number of inches by 12 (since there are 12 inches in a foot):
86 inches ÷ 12 inches/foot = 7.17 feet
The units of measurement used to measure length or distance are inches and feet. One inch is equivalent to one-twelfth of a foot, while one foot is equal to twelve inches. As a result, you may easily convert feet to inches by multiplying the number of feet by 12. 36 inches, for instance, is equivalent to 3 feet (3 feet x 12 inches/foot).
Divide the number of inches by 12 to convert the measurement to feet. As an illustration, 24 inches (12 inches per foot) equals 2 feet.
Inches and feet are often used to measure an object's height, breadth, and length in the United States.
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Line K has a slope of -5. Line J is perpendicular to line K. What is the slope of line K?
If line J is perpendicular of line K, they should cross to make an X. If the slope of line K is -5, Line J would be 5.
review the simple interest rate based on FICO scores to answer the question:
Callie plans to borrow $4,100.00 with a simple interest rate loan. determine the amount of Interest Callie will save if she is able to raise your credit score from 700 to 800.
$49.91
$70.27
$176.10
$157.32
Using simple interest, it is found that Callie will save $157.32 if she is able to raise your credit score from 700 to 800.
Simple InterestThe amount of interest after t years in simple interest is modeled by:
\(I = Prt\)
In which:
P is the initial amount. r is the interest rate, as a decimal.t is the time, in years.In this problem:
She plans to borrow $4,100.00 with a simple interest rate loan, hence \(P = 4100\).One year, hence \(t = 1\).With a credit score of 700, the rate is of \(r = 0.08132\), hence:
\(I = 4100(0.08132) = 333.41\)
With a credit score of 800, the rate is of \(r = 0.04295\), hence:
\(I = 4100(0.04295) = 176.09\)
Then, the amount saved is:
\(333.41 - 176.09 = 157.32\)
Callie will save $157.32 if she is able to raise your credit score from 700 to 800.
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Mr. Estrada's car can travel no more than 510 miles on one full tank of gasoline. After filling up the tank with gasoline, he traveled 194 miles in the car. Write an inequality that represents the values of m, the number of miles Mr. Estrada can travel in the car with the remaining gasoline in the tank and solve.
please help me!! this is due very soon
Answer:
Step-by-step explanation:
The required inequality x + m ≤ 510, and the distance is 316 miles.
What is inequality?Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.
Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.
Let,
x miles = distance already traveled
m miles = distance miles can travel with remaining gas
510 = max. miles can travel on a full tank
As per the given question,
The inequality will be written as,
x + m ≤ 510
194 + m ≤ 510
m ≤ 510 - 194
Apply the subtraction operation, and we get
m ≤ 316
Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.
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Write two numbers that multiply to the value on top and add to the
value on bottom.
A cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift. A cylinder has a height of 20 centimeters and a diameter of 8 centimeters. What is the approximate volume of the tube? Round to the nearest whole cubic centimeter.
Answer:
1005.3 cm³
Step-by-step explanation:
Let's begin by listing out the given variables:
diameter (d) = 8 cm ⇒ r = 4 cm, height (h) = 20 cm
Formula for volume of cylinder is, πr²h
V = πr²h = π * 4² * 20 = 1,005.31 cm³
V ≈ 1005.3 cm³
Answer: 1005 cm^3
Step-by-step explanation: Got it correct on test!
Which values, when substituted for x in the expression \sqrt{x} , will result in an irrational number? Select all that apply.
The values, when substituted for x in the expression \sqrt{x} , that will result in an irrational number are:
x=\(\pi\)x=2x=8x=168What is irrational number?An irrational number can be described as the type of real number that the representation can not be seen as that of simple fraction and they are been termed as the irrational numbers.
In this case , we can come into conclusion that any number that posses a non-terminating as well as non-repeating decimal fit in , hence values, when substituted for x in the expression \sqrt{x} , that will result in an irrational number are:
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Find the diameter and circumference
6.2 mi
PLS HELP I NEED AN ANSWER PLS
Answer:
diameter: 2.4 mi
circumference = 38.96 mi
Step-by-step explanation:
d=2r=2·6.2=12.4
C=2πr=2·π·6.2≈38.95575
What is the value of 5(2x − 4) − 2y if x = −2 and y = 6?
−52
−48
−92
28
Answer:
-52
Step-by-step explanation:
fill in the x and y values and multiple it and then combine it
A triangle has vertices (−4,3),(2,−5) and (6,5). What kind of triangle is it?
To determine the kind of triangle from the given vertices (−4,3),(2,−5) and (6,5), we need to find the length of each side of the triangle.
Let us call the vertices A, B, and C, respectively. Then, we can use the distance formula to determine the length of each side of the triangle:
AB = √[(2 - (-4))^2 + (-5 - 3)^2]
= √[(2 + 4)^2 + (-8)^2]
= √[6^2 + 64]
= √100
= 10AC
= √[(6 - (-4))^2 + (5 - 3)^2]
= √[(6 + 4)^2 + 2^2]
= √[10^2 + 4]
= √104BD
= √[(6 - 2)^2 + (5 - (-5))^2]
= √[4^2 + 10^2]
= √116
The length of each side of the triangle are as follows:
AB = 10AC ≈ 10.198BD ≈ 10.770
By comparing the lengths of each side of the triangle, we find that all three sides are of different lengths. Therefore, it is a scalene triangle.
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School ends at 3:15 pm. The school provides after -school care for a maximum of 150 minutes after school ends. When is the latest time for pick up?
The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm
How can minutes be converted into hours?Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.
The time that school ends = 3:15 pm
The latest time for pick up after school care = 150 minutes after school ends
Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes
60 minutes = 1 hour
150 minutes = (1/60) × 150 = 2.5
The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm
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What are the zeros of the function f, where f(x)=6x^2-9x-6
Answer:
x=NEGATIVE 1/2, POSITIVE 2
Step-by-step explanation:
Just use math.waycom
The non-negative zero of the function f(x) is x = 2.
What are zeros of quadratic function?The zero of the function is where the y-value is zero. The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.
here, we have,
For a given function f(x), the "zeros" of the function are the values of x such that:
f(x) = 0
In this case, we have the function:
f(x) = 6*x^2 - 9*x - 6
If we want to find the zeros of this function, we need to solve:
f(x) = 0 = 6*x^2 - 9*x - 6
To solve this, we can use the Bhaskara's formula, which says that for a general quadratic equation:
0 = a*x^2 + b*x + c
The zeros are:
x = -b ±√b² - 4ac / 2a
In this case our equation is:
0 = 6*x^2 - 9*x - 6
then, in the above notation, we have:
a = 6
b = -9
c = -6
Replacing these in our general formula, we get:
x = 9±15 /12
Then we have two zeros:
x = (9 + 15)/12 = 24/12 = 2
x = (9 - 15)/12 = -6/12 = -1/2
But we want only the non-negative, so we can discard the second one.
Concluding, the non-negative zero of the function f(x) is x = 2.
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Mrs. Smith has a 34-pound bag of sugar to use for 6 cakes. How much sugar, in lbs, is used for each cake? Round your answer to the hundredths
Answer:
32
Step-by-step explanation:
yr