Answers
Answer:
4,5
Step-by-step explanation:
Related Questions
What is the radius of Circle C?
Answers
radius = length of BC = x
Triangle ABC is a right triangle. The right angle (aka 90 degree angle) is at angle B as shown by the square marker.
Because we have a right triangle, we can use the pythagorean theorem
(leg1)^2 + (leg2)^2 = (hypotenuse)^2
(AB)^2 + (BC)^2 = (AC)^2
(22)^2 + (x)^2 = (x+14)^2
484 + x^2 = x^2 + 28x + 196
484 + x^2-x^2 = x^2 + 28x + 196-x^2
484 = 28x+196
484-196 = 28x+196-196
288 = 28x
28x = 288
28x/28 = 288/28
x = 72/7
x = 10.285714
The exact value of x, as a fraction is 72/7
Using a calculator, the approximate value of x is roughly 10.285714
So the radius is exactly 72/7 units long.
The radius is approximately 10.285714 units long.
The radius of a circle in Euclidean geometry is the distance from its center to any point on the circumference, and it can be calculated by dividing the circumference by 2π. In physics, the radius is also the radius of curvature for an object's circular path, determined by position data and the Pythagorean theorem.
Explanation:In mathematics, especially in Euclidean geometry, the radius of a circle is a fundamental concept that refers to the distance from the center of the circle to any point on its circumference.
Referring to the examples provided, one method to find the radius (r) is by understanding the relationship between the circumference of a circle (C) and its radius. In a flat, Euclidean space, the ratio C/r is a constant 2π, where π (pi) is approximately 3.14159. Therefore, if you know the circumference, you can calculate the radius by rearranging the formula to r = C/(2π).
In one of our more practical examples, the radius of curvature is used in the context of circular motion. When dealing with the path of an object in a circular trajectory, the radius of the circle also represents the radius of curvature. For instance, using position data where x = 3 m and y = 4 m, we can use the Pythagorean theorem to find the radius, r = √(3² + 4²) = 5 m.
Understanding these principles is crucial in fields such as physics, where the radius is directly related to calculating velocities and accelerations in circular motions as seen with centripetal acceleration.
|X+4|=4
|X+4|=-4
Plz help
Answers
|X+4|=4
x = 4-4 = 0
|X+4|=-4 no solution since the lines are absolute value which would be a positive number
What!!!?!?! Could someone help me with the first two I don't understand and it's due tomorrow
Answers
An investment club used funds totaling $200,000 to invest in a bio-tech company and in an ethanol plant, with hopes of earning 11% and 16% annual simple interest, respectively. Their hunch paid off. The club made a total of $26,000 interest the first year. How much was invested at each rate? $ at 11% = $ at 16% =
Answers
0.11x+0.16 (200000-x)=26000
Solve the equation for x
0.11x+32000-0.16x=26000
0.11x-0.16x=26000-32000
-0.05x=-6000
X=6000÷0.05
X=120000 invested at 11%
200000-120000=80000 invested at 16%
Hope it helps!
Of all numbers x and y whose sum is 50, the two that have the maximum product are xequals=25 and yequals=25. that is, if xplus+yequals=50, then xequals=25 and yequals=25 maximize qequals=xy. can there be a minimum product? why or why not?
Answers
x + y = 50
Q = x * y
Combining the two:
Q = x * (50 - x)
Q = 50x - x^2
Q = -x^2 + 50x
Q = -(x^2 - 50x)
Q = -(x^2 - 2 * 25x + 25^2 - 25^2)
Q = 25^2 - (x - 25)^2
Q = 625 - (x - 25)^2
So what we got is an equation for parabola with a vertex at
(25 , 625) and it opens downward. We know that parabolas only have one critical
value, so if x and y are unrestricted, then there's no minimum product.
No, there cannot be a minimum product. The product of two numbers is maximized when the numbers are equal or close to each other.
Explanation:The student is asking if there can be a minimum product when x and y are numbers whose sum is 50 and we are trying to maximize the product xy. The answer is no, there cannot be a minimum product. This is because the product of two numbers is maximized when the numbers are equal or close to each other. In this case, when x = 25 and y = 25, the product xy is maximized at 625. If x and y were further apart, the product would be smaller.
Thus,
Q = x * (50 - x)
Q = 50x - x^2
Q = -x^2 + 50x
Q = -(x^2 - 50x)
Q = -(x^2 - 2 * 25x + 25^2 - 25^2)
Q = 25^2 - (x - 25)^2
Q = 625 - (x - 25)^2
A loaf of bread costs $1.79. how much would five loaf costs?
Answers
Answer:
8.95
Step-by-step explanation:
Because 1.79x5=8.95 You can look it up too
:)
Help me with #16, and explain. Please
Answers
2a-9 +a = 90 degrees
3a -9 = 90
3a = 99
a = 33
angle GEF is 33 degrees
Factor completely 3y^4 - 2y^2 - 5
Answers
(3y^2 -5)(y^2 +1)
If f(x)= 3x - 1 and g(x) = x+2, find (f +g)(x)
A. 3x-3
B. 4x+1
C. 2x-1
D. 2x-3
Help Please
Answers
3x+x-1+2
4x+1
If f(x)= 3x - 1 and g(x) = x+2, (f +g)(x) is 4x+1.
(3x-1)+(x+2)
=3x+x-1+2
=4x+1.
What are the operations of functions?A function operation guidelines that are accompanied as a way to remedy functions. Learn the definition of a feature operation such as the guidelines for addition, subtraction, multiplication, and division.
What are the different types of functions?One – one function (Injective function)Many – one function.Onto – function (Surjective Function)Into – function.Polynomial function.Linear Function.Identical Function.Quadratic Function.Learn more about functions here: https://brainly.com/question/6561461
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Find all the points on the curve y = 4x^4 − 8x^2 + 16x + 7 such that the tangent line to the curve is parallel to the line 16x − y + 5 = 0.
Answers
the tangent has same slope of the line 16x -y +5 = 0 because parallel.
y = 16x + 5
the slope is : 16
but : f'(x) = 16
f'(x) = 16x^3 - 16x +16
solve : 16x^3 - 16x +16 = 16
x^3 - x +1 =1
x^3 - x = 0
x(x² - 1 ) =0
x(x -1 )(x +1) =0
x=0 or x-1 =0 or x +1= 0
x=0 or x = 1 or x = -1
if : x = 0 : y = 4(0)^4 -8(0)^2+16(0) +7 =7
if : x =1 : y = 4(1)^4 -8(1)^2+16(1) +7 = 19
if : x = -1 : y = 4(-1)^4 -8(-1)^2+16(-1) +7 = -13
the points : A(0,7) , B(1 , 19) , c ( -1 , -13)
The function y=3.5x+2.8 represents the cost y (in dollars) of a taxi ride of x miles
Answers
The domain of a function is the set of possible values of x, given that the maximum number of miles you can travel is 20 miles, the domain of the function is from 0 to 20.
Domain = {x: 0 ≤ x ≤ 20}
The range of a function is the set of the possible values of the function.
For x = 0, y = 3.5(0) + 2.8 = 2.8
For x = 20, y = 3.5(20) + 2.8 = 72.8
Therefore, the range of the function is from $2.8 when no mile was covered and $72.8 when 20 miles was covered.
Therefore, range = {y: 2.8 ≤ y ≤ 72.8}
Answer: Domain= 0[tex]\leq[/tex]x[tex]\leq[/tex]20
Range= 2.8[tex]\leq[/tex]y[tex]\leq[/tex]72.8
Step-by-step explanation:
CREDIT:ANSWER ABOVE ME,HOPE THIS HELPS. Burrgh
what's the pattern for 1,3,5,7,5,3,1,3
Answers
The pattern 1,3,5,7... represents odd numbers, as each number cannot be evenly divided by 2.
The correct option is (A).
The pattern 1,3,5,7... represents odd numbers. These numbers are considered odd because they cannot be evenly divided by 2. Every number in the sequence is one greater than an even number, which means adding 1 to an even number gives you an odd number. For instance, the number 1 is odd because 0 (an even number) plus 1 equals 1. Similarly, 2 (which is even) plus 1 equals 3, and so on. This pattern of numbers is used to represent all numbers that, when divided by 2, have a remainder of 1.
complete question given below:
The pattern 1,3,5,7... represents numbers.
A.odd
B.even
C.whole
Devonte used the change of base formula to approximate log8 (21). Which expression did Devonte use?
Answers
Answer:
[tex]log_8(21)=\frac{log21}{log8}[/tex]
Step-by-step explanation:
Given : Log expression [tex]log_8(21)[/tex]
To find : Write the expression using the change of base formula.
Solution :
Logarithmic change of base rule formula is
[tex]log_ab=\frac{log_eb}{log_ea}[/tex]
Now, using logarithmic rule in [tex]log_8(21)[/tex]
where a=8 and b=21
[tex]log_8(21)=\frac{log_{10}21}{log_{10}8}[/tex]
[tex]log_8(21)=\frac{log21}{log8}[/tex]
Therefore, The expression Devonte use [tex]log_8(21)=\frac{log21}{log8}[/tex]
|4v-16|=12 solve for v
Answers
4v= 28
v=7
4v-16=-12
4v=4
v=1
Final answer: v=1, v=7
PLEASE HELP Which is the equation of a line that is parallel to the line represented by y=3/4x-1/2?
Answers
parallel lines have same slope, so new line has slope = 3/4
answer
A. y = 3/4x + 1/2 (slope = 3/4)
Please answer the question please
Answers
-4(z-12)=42 how can I solve?
Answers
-4(z-12)=42
you can distribute but it's easier to divide both sides by -4
z-12=-10.5
add 12 both sides
z=22.5
First, we will get rid of the brackets by multiplying each term within the brackets by -4 as follows:
-4(z) - -4(12) = 42
-4z + 48 = 42
Then, we will isolate the term with the variable. To do so,we will simply subtract 48 from both sides as follows:
-4z+48-48 = 42-48
-4z = -6
Finally,we will get rid of the coefficient next to the variable by dividing both sides by -4.
The final result will thus be:
z = 3/2
the sum of 3 consecutive odd integers is 189. What are the three odd integers?
Answers
89/3 = 63
63-2 = 61
63 +2 = 65
61 +63 +65 = 189
Mr. Delong's drama class is planning a field trip to see a Mozart's famous opera Don Giovanni. Tickets cost $39 each, and there are 23 students and 2 teachers going on the field trip. Write and evaluate an expression to find the groups total ticket cost.
Answers
x = 39(2) + 39(23)
x = 78 + 897
x = $975
So, the total cost of tickets for all is $975.
The total ticket cost for Mr. Delong's drama class to attend Mozart's opera Don Giovanni, with 23 students and 2 teachers at $39 per ticket, is $975.
To calculate the total ticket cost for Mr. Delong's drama class field trip to see Mozart's opera Don Giovanni, we need to combine the number of students and teachers going to find out how many tickets in total need to be purchased. There are 23 students and 2 teachers, so that's a total of 25 people needing tickets. The cost per ticket is $39.
The expression to find the total ticket cost is (Number of Students + Number of Teachers) x Cost per Ticket, which translates to (23 + 2) x $39.
Doing the math: (25) x $39 = $975.
Therefore, the group's total ticket cost for attending the opera will be $975.
I need solve each system by substitution 4x+2y=7;y=5x
Answers
4x+2y=7
y=5x
To start off we are given what h equals already so we do not have to solve for it. This means we can just plug in its values into the first equation.
4x+2(5x)=7
Solve for x
4x+10x=7
14x=7
x=7/14
x=1/2
Now that we have an x value substitute back into the second equation to find the y value and be able to create a coordinate point.
y=5x
y=5(1/2)
y=5/2
y=2.5
So your answer would be
(1/2,5/2) or (0.5,2.5)
I hope this helps!
To solve the system of equations by substitution, substitute the value of y from the second equation into the first equation. The solution is x = 1/2 and y = 5/2 or 2.5.
Explanation:To solve the system of equations by substitution, we substitute the value of y from the second equation into the first equation.
Given that y = 5x, we can substitute this value into the first equation:
4x + 2(5x) = 7
Simplifying the equation:
4x + 10x = 7
Combine like terms:
14x = 7
Divide both sides by 14:
x = 7/14
Simplify:
x = 1/2
Now substitute this value of x back into the second equation to find y:
y = 5(1/2)
Simplify:
y = 5/2 or y = 2.5
Learn more about Solving systems of equations by substitution here:https://brainly.com/question/7298439
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Les bought 6 pairs of shorts for s dollars each and a blazer that cost three times as much as a pair of shorts.He Spent a total of $139.50.How much did the blazer cost?
Answers
6s+b=139.5
b=3s
Substitite for b
6s+3s=139.5
9s=139.5
s=15.5
Now multiply by 3 to get the blazer price
15.5*3= 46.5
Final answer: $46.50
s = 139.50 / 9 = $15.50
The blazer cost 3s dollars = 3 * 15.50 = $46.50 Answer
Which distribution exhibits a negative skew?
Answers
Answer:
In PLATO the answer is B
Step-by-step explanation:
Notice that all of the values start high at 0 and gradually get lower until 8
Answer: took the test
Step-by-step explanation:
What is the expression x - 4 represents a negative integer. What integers could X represent?
Answers
Let's try 5.
5-4 is 1. Is 1 negative? No, so that doesn't work.
4-4 is 0. 0 isn't negative either, so that doesn't work.
3-4 is -1. Is -1 negative? YES! Let's try it for 2 as well, just to be safe.
2-4 is -2. Still negative.
X can be anything less than 4.
Answer:
Integers between (-∞, 4)
Step-by-step explanation:
Negative Integer is integers whose value is less than 0 i.e. -1, -2, -3, -4,.... so on.
The expression x - 4 will be negative if x is less than 4.
For Example, if we take integers greater than 4 or equal to 4 as the value of x then,
5 - 4 = +1 which is not a negative integer
4 - 4 = 0 which is again not a negative integer.
But, if we take x as less than 4 then we get,
2 - 4 = -2 i.e. negative integer
-3 - 4 = -7 i.e. also negative integer.
So, for all value of x which is less than 4, we will get a negative integer.
a pizza with a diameter of 24 inches is cut into 16 equal slices. to the nearest square inch, what is the area of each slice of the pizza?
Answers
Answer:
Area of each slice of pizza is 28.27 square inches.
Step-by-step explanation:
The formula calculating the area of circle is
A = π[tex]r^{2}[/tex] where r is radius ( half of the diameter )
A = [tex](12)^{2}[/tex]
A = 452.38934 [tex]inches^{2}[/tex]
pizza cut into 16 equal slices
Therefore 452.38934 ÷ 16 = 28.27433 [tex]inches^{2}[/tex]
So the total area of the pizza is 452.39 square inches and the area of each slices are 28.27 square inches approximately.
Answer:
About 28 in ^2
Step-by-step explanation:
All of the following are equivalent except 4 x y , 4 + y , 4y, (4)(y)
Answers
except
4 + y
4y=4*y. In algebra, when a number and variable are placed next to each other, it represents multiplication. This also applies to (4)(y), which is 4*y.
The ratio of men to women working for a company is 4 to 3 . if there are 39 women working for the company, what is the total number of employees?
Answers
Ivan needs to memorize words on a vocabulary list for french class. he has memorized 30 of the words, which is two-thirds of the list. how many words are on the list
Answers
2/3=30/x
Then cross multiply to solve for x
30 divided by 2 (Since there are two thirds) = 15 words. 15 words in each of those 1/3
So since each 1/3 has 15 words, and 30 words is 2/3, there us 1/3 still left. So add that 1/3 (15) to 30. 30+15=45. So, there are 45 words on the list.
Hope I helped :)
Write the sum using summation notation, assuming the suggested pattern continues. -8 - 3 + 2 + 7 + ... + 67
summation of the quantity negative eight plus five n from n equals zero to fifteen
summation of negative forty times n from n equals zero to infinity
summation of negative forty times n from n equals zero to fifteen
summation of the quantity negative eight plus five n from n equals zero to infinity
Answers
now.. the last value is 67.. but what term is that anyway?
well, let's use the arithmetic sequence equation to see who that is.
[tex]\bf n^{th}\textit{ term of an arithmetic sequence}\\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\ ----------\\ a_1=-8\\ d=5\\ a_n=67 \end{cases} \\\\\\ a_n=-8+(n-1)5\implies 67=-8+(n-1)5 \\\\\\ 67=-8+5n-5\implies 67=-13+5n\implies 80=5n \\\\\\ \cfrac{80}{5}=n\implies \boxed{16=n}[/tex]
so, is the 16th term alrite.. .hmmm, so it begins with -8, then keeps on adding 5 16 times
[tex]\bf \sum\limits_{n=1}^{16}~-8+(n-1)5\implies \sum\limits_{n=1}^{16}~5n-13[/tex]
both forms are the same, so.. hmm it depends on how simplified you need it.
Final answer:
Explanation of summation notation using examples and patterns for different expressions.
Explanation:
Summation notation:
First sum: The sum is calculated using the formula: Σ(-8 + 5n) from n = 0 to 15.
Second sum: The sum can be expressed as Σ(-40n) from n = 0 to ∞ (infinity).
Third sum: The sum is Σ(-40n) from n = 0 to 15.
Fourth sum: The sum is given by Σ(-8 + 5n) from n = 0 to ∞.
Ten less the quotient of a number and 3 is 6
Answers
Add 10 to both sides
x/3= 16
Multiply both sides by 3
x=48
Final answer: x=48
Solve the equation with rational exponents (x-4)^2/3= 9
Answers
The solution to the given expression is x = 31.
In order to simplify an expression with exponents of the same base, we would have to apply the properties of multiplication of exponents with the same base;
[tex](k^m)\cdot(k^{n})=k^{m+n}[/tex]
Based on the properties of roots of exponents, we have the following:
[tex]\sqrt[a]{x^b} =x^{\frac{b}{a} }[/tex]
By raising both sides of the given expression to the reciprocal of the exponent, we have:
[tex](x-4)^{\frac{2}{3} }=9\\\\((x-4)^{\frac{2}{3} })^{\frac{3}{2} }=9^{\frac{3}{2} }\\\\x-4=(9^{\frac{1}{2} })^{3 }\\\\x-4=(3)^{3 }\\\\[/tex]
x - 4 = 27
x = 27 + 4
x = 31