Well, just looking at this problem we know 3 formulas that will help us. Firstly we have C (The Circumference) is Equal to 2π Times the Radius, r.
In Equation form that looks something like this:
C=2πr
We also know that the radius is half of the diameter, r=D/2 or D=2r
So, if C=62.8, then 62.8=2πr must also be true.
By doing some quick re arranging we get to the equation r=62.8/2π
This equation gives us 9.99, Which is essentially 10.
Now that we know that r=10, we can find that diameter, D=2r, is Equal to 20.
Therefore, your answers are
Radius = 10
Diameter = 20
Circumference = 62.8 (Given)
If there are any questions about anything I did please feel free to ask more questions and I will respond ASAP!
The length of the hypotenuse of a right triangle is 157 units. The length of one leg of the triangle is 132 units. Lara wrote the following step to find the length of the unknown leg: Length of the unknown leg = 1572 − 1322 = 24,649 − 17,424 = 7,225 units Which statement best explains whether Lara's step is correct or incorrect?
Answer:
24649-17424=7225 UNITS
Step-by-step explanation:
This step implies that Lara was using the Pythagoras theorem to find the missing length of the right triangle.
a²+b²=c², taking a and b to be the two lengths adjoined by the right angle and c the hypotenuse.
Laura's step represents the step above.
157²=24649
132²=17424
157²-132²=c²
24649-17424=7225
What are the zeros of this function?
Answer:
Step-by-step explanation:
the zeroes of a function basically mean when y = 0, so basically the x-intercept(s)
in this case, the zeroes are 3 and 6
Answer:
A. x = 3 and x = 6
Step-by-step explanation:
Zeros occur when the function crosses the x - axis. In this case, the quadratic function crosses the function when x = 3 and x = 6.
How do I solve -6 1/3 + 5 5/6
Answer:
13/6
Step-by-step explanation:
-6 1/3 + 5 5/6
1. You can reduce the first equation to 2
-6 1/3, becomes -2 x 1/1. This is because 3 goes into itself 1 time, and it goes into 6, -2 times. Your new equation: -2 + 5 5/6
2. Multiply the 5's in 5 5/6 by each other to get...
25/6
Your new equation: -2 + 25/6
3. Multiply 6 by -2 to get -12
4. Now add the numerators(remember -12 is basically, -12/1) together to get your answers
-12 + 25/6 = 13/6
Hello There!
If we add -6 1/3 and 5 5/6 together, we will get a sum of -1/2
STEP 1 First, I like to convert mixed numbers into improper fractions because they are easier to work with. So, I would change -6 1/3 to -19/3. Then, I would change 5 and 5/6 to 35/6.
STEP 2 Applying the fraction formula for addition. (-19x6) + (35x3) and then i would put this over 6x3
STEP 3 -114+105
18
STEP 4
-9/18 = -1/2
which of the following is the conjugate of a complex number with 2 as the real part and -8i as the imaginary part
The conjugate of the complex number 2 - 8i is 2 + 8i, found by changing the sign of the imaginary part from negative to positive.
The conjugate of a complex number is found by changing the sign of the imaginary part.
For a complex number with a real part of 2 and an imaginary part of -8i, the complex number is represented as 2 - 8i. To find its conjugate, we change the sign of the imaginary part, resulting in 2 + 8i.
The general form of a complex number is a + bi, where a is the real part and bi is the imaginary part.
The conjugate is then written as a - bi. Therefore, if we have the complex number z = 2 - 8i, the conjugate, denoted as [tex]\( \overline{z} \)[/tex], is 2 + 8i.
Solve for the equation for x; ax-y=bx
X=a+b/y
X= a-b/y
X= y/ a+b
X= y/ a-b
Help!
Final answer:
To solve the equation ax - y = bx for x, add y to both sides, combine x terms, factor x out, and divide by (a - b) resulting in the solution x = y / (a - b).
Explanation:
To solve the given equation ax - y = bx for x, we aim to isolate x on one side of the equation:
First, we add y to both sides of the equation: ax = bx + y.
Next, we group the x terms together: ax - bx = y.
Then, we factor out x: x(a - b) = y.
Finally, we divide both sides by (a - b) to solve for x: x = y / (a - b).
So, the solution is x = y / (a - b).
Identify each expression and value that represents the area under the curve y=x^2+4 on the interval [-3,2]
This result represents the total area under the curve y = x^2 + 4 between x = -3 and x = 2.
The area under the curve y = x^2 + 4 on the interval [-3,2] can be found using definite integration. The definite integral of a function gives us the net area between the function and the x-axis across the specified interval. To compute the area, we set up the integral from -3 to 2 of the function x^2 + 4.
To solve this, we integrate the function with respect to x:
Integrate the function x^2 to get (1/3)x^3.Integrate the constant 4 to get 4x.Combine the results to form the antiderivative, which is (1/3)x^3 + 4x.Evaluate the antiderivative from -3 to 2. This gives us:[(1/3)(2)^3 + 4(2)] - [(1/3)(-3)^3 + 4(-3)]Calculate each part to obtain:[(1/3)(8) + 8] - [-(1/3)(27) - 12]Simplify to find: (8/3 + 8) - (-9 - 12)Add up to get the total area: (8/3 + 8 + 9 + 12)Which simplifies to: (8/3 + 29)Final result: 35/3 or 11.67 square unitsThis result represents the total area under the curve y = x^2 + 4 between x = -3 and x = 2.
hey can i get some help from you guys?
For this case we must find an expression equivalent to:
[tex](x ^ {\frac{1}{4}} * y ^ {16}) ^ {\frac {1} {2}}[/tex]
By definition of power properties we have to:
[tex](a ^ n) ^ m = a ^ {n * m}[/tex]
Then, rewriting the expression:
[tex](x ^ {\frac {1 * 1} {4 * 2}} * y ^ {\frac {16 * 1} {2}}) =\\x ^ {\frac {1} {8}} * y ^ {\frac {16} {2}}) =\\x ^ {\frac {1} {8}} * y ^ {8}[/tex]
Answer:
Option B
if one bucket + 5 jars equal one tub and three buckets plus two jars equal to tubs how many jars are there equal to one tub
Answer:
Simplify 4y + 7x = 2t and there you go that's your answer☺
Step-by-step explanation:
Bucket = y
Jars = x
Tubs = t
y + 5x = t
3y + 2x = t
Answer:
Number of jars in one tub is:
13
Step-by-step explanation:
Let b denote the buckets, j denotes the jars and t denotes the tubs
One bucket + 5 jars equal one tub
b+5j=t ----------------(1)
Three buckets plus two jars equal two tubs
3b+2j=2t ------------------(2)
equation (1)×3- equation (2)
3(b+5j)-(3b+2j)= 3t-2t
3b+15j-3b-2j= t
13j= t
Hence, Number of jars in one tub is:
13
Answer the photo question
Answer: x÷(2÷5y)
Step-by-step explanation: this is because you have to first do the quotient of 2 and try then the answer will be divided by 5
Answer:
The quotient of x and the quotient of 2 and 5y.
Expression:
x/(2/5y)
Explanation:
The quotient means to divide the numbers. The “and” after quotient is what the number is dividing with. So, x us dividing with the division of 2 and 5y.
lots of points and pretty easy!!!!
The complement of A would be the elements in U that are not in A.
A is 2, 4, 6, 8
Remove those numbers from U for the complement.
The complement would be {1, 3, 5, 7, 9, 10}
Answer: The complement is 1, 3, 5, 7, 9, 10
I hope that this helps! :3
Three joggers are running around a circular track. One of them completes one lap in 6 minutes, the second one in 9 minutes, and the third one in 15 minutes. What time will they arrive at their starting point together if they start at the same time from the same point at 10:00 am and maintain their jogging pace
Answer:
At 11:30 am they will arrive at their starting point together
Step-by-step explanation:
we know that
One of them completes one lap in 6 minutes
The second one in 9 minutes
The third one in 15 minutes
step 1
Find the least common multiple (LCM)
6=2*3
9=3²
15=3*5
so
LCM=(3²)*(2)*(5)=90 minutes
step 2
Find the number of laps of each jogger for the LCM
jogger 1
90/6=15 laps
jogger 2
90/9=10 laps
jogger 3
90/15=6 laps
If they start at 10:00 am
then
10:00 am + 90 minutes=11:30 am
In a restaurant a diner orders an entree with vegetables foe 10.50, dessert foe 1.50, and coffee for 0.50. If the tax on the meals is 6%, what tax should be added to his check?
Answer:
$0.75 tax
Step-by-step explanation:
1. Find total cost of meal: $10.50 + $1.50 + $0.50 = $12.50
2. Find tax of meal: $12.50 * 6% = 12.5 * 0.06 = $0.75
what is the value of the 5 in 15,406
Hello There!
The value of the number "5" in the number 15,406 would be the value of 5,000
2. Solve the equation p2 + 6p = 1 by completing the square method. Show your work.
Answer:
p=0.125
Step-by-step explanation:
2p+6p=1
Add like terms
8p=1
Divide both sides by 8 to get p by itself
8p/8=1/8
p=0.125
-27/50 write the fraction as a mixed number
Answer: It can not be a mixed number because if you divide -27 by 50 you get -0.54, so then if you turn -0.54 in fraction form it would be -27/50, so the fraction would stay the way it is. -27/50 is not an improper fraction. To be improper, the numerator must be greater than the denominator!
* Hopefully this helps:) Mark me the brainliest:)!!!
What is the solution of the inequality?
2 x less or equal than 3 left parenthesis x minus 0.6 right parenthesis
a. x less or equal than 1.8
b. x greater or equal than 1.8
c. x less or equal than negative 1.8
d. x greater or equal than negative 1.8
Answer: Option b
b. x greater or equal than 1.8
Step-by-step explanation:
In this problem we have the following inequality:
[tex]2x\leq 3(x-0.6)[/tex]
To solve it we must group the x on one side and the constants on the other side
[tex]2x\leq 3(x-0.6)[/tex]
Apply distributive property on the right side of the inequality
[tex]2x\leq 3x-3*0.6[/tex]
[tex]2x\leq 3x-1.8[/tex]
Subtract 3x on both sides of the inequality
[tex]2x-3x\leq 3x-3x-1.8[/tex]
[tex]-x\leq-1.8[/tex]
Multiply by -1 both sides of the inequality
[tex]x\geq 1.8[/tex]
The answer is the option b
Answer:
the answer is option B
Step-by-step explanation:
the sum of the ages of Nicole and Kristen and 32 in two years Nicole would be three times as old as Kristen how old are they now
Answer:
Kristen would be 7.5 yo and Nicole would be 24.5 years old
Step-by-step explanation:
let x= kristen's age
3x+2= nicole's age
(3x+2)+x=32
4x+2=32
4x=30
x=7.5
3(7.5)+2= 24.5
I need help please??!!!):
Answer:
-13 < 16
Step-by-step explanation:
(4 is x, -5 is y)
-5 - 8 < 4(4)
-13 < 16
It is true and is a solution
Answer:
The ordered pair is not a solution to the inequality because -13 < -16 is false.
Step-by-step explanation:
Step 1: Plug x and y into the inequality
-5 - 8 < -4(4)
Step 2: Simplify the inequality
-13 < -16
Step 3: Interpret and conclude
The ordered pair is not a solution to the inequality because -13 < -16 is false.
Find the equation of the circle with center at (3, -2) and radius of 3.
Answer:
[tex](x-3)^{2} +(y+2)^{2}=9[/tex]
Step-by-step explanation:
we know that
the equation of a circle into center radius form is equal to
[tex](x-h)^{2} +(y-k)^{2}=r^{2}[/tex]
In this problem we have
center ( 3,-2)
radius r=3 units
substitute
[tex](x-3)^{2} +(y+2)^{2}=3^{2}[/tex]
[tex](x-3)^{2} +(y+2)^{2}=9[/tex]
Answer: A on edg
Step-by-step explanation:
One of these students is randomly selected what is p(a/b)?
Answer: 3/5=0.60
Step-by-step explanation:
The p(a/b) is 3/5 = 0.6
What is Bayes Theorem?The Bayes theorem predicts the likelihood that an event connected to any condition would occur. Use the concept of the conditional probability formula, P(Ei|A)=P(Ei∩A)P(A), to demonstrate the Bayes theorem (A). The Bayes' Theorem describes the likelihood that an event connected to any condition would occur.
Given
P(a) = P(student in karate ) = 3
P(b) =P(student in chess) = 5
P(a|b) = 3/5 = 0.60
To know more about Bayes theorem refer to :
https://brainly.com/question/14989160
#SPJ2
Identify the domain for the function!!! 10 points. Help needed
Answer:
You had it correctly chosen, (9, infinity)
Step-by-step explanation:
Good job =)
ANSWER
[9,∞)
EXPLANATION
The given radical function is ;
[tex]f(x) = \sqrt{x - 9} [/tex]
This function is defined if and only if the expression under the radical sign is greater than or equal to zero.
[tex]x - 9 \geqslant 0[/tex]
[tex]x \geqslant 9[/tex]
Or
In interval notation, we have
[9,∞)
Why is Li incorrect in saying that the graph shows a direct variation
Answer:
The answer B
Step-by-step explanation:
Darren filled boxes with tins of orange juice and numbered the boxes in the order in which they were filled. He packed the 496th tin box 21 and then stopped for lunch. Box 21 was never completely filled. How many tins were in box 21?
udryjsexjyejyedido7r4ukdjyeilcfrkuxhrkdksirxkuwxnhrhtilctukrxkhxrkyrxrHAiltfthseukcthjxdnh fjudcjxyjxdnhcryjxryjxryjdebyxdjudrjyxd
Shravan is ten years older than Gaurav’s age. Five years ago, one –seventh of shravan’s age was equal to one- fifth of Gaurav’s age. Find their present ages.
Answer:
Shravan's age is 40 years old
Gaurav’s age is 30 years old
Step-by-step explanation:
Let
x-----> Shravan's age
y-----> Gaurav’s age
we know that
x=y+10 -----> equation A
(1/7)(x-5)=(1/5)(y-5) ----> equation B
substitute equation A in equation B and solve for y
(1/7)(y+10-5)=(1/5)(y-5)
(1/7)(y+5)=(1/5)(y-5)
5(y+5)=7(y-5)
5y+25=7y-35
7y-5y=25+35
2y=60
y=30 years
Find the value of x
x=y+10 ----> x=30+10=40 years
therefore
Shravan's age is 40 years old
Gaurav’s age is 30 years old
11 to the power of 3 evaluate
11 is the base, meaning that it is the number being multiplied
3 is the exponent, meaning it tells you how many times you must multiply the base together
For this question we must multiply 11 together 3 times:
11*11*11 = 1331
Hope this helped!
graph and shade the following inequality -5x+2y<-10
Answer: The graph is attached.
Step-by-step explanation:
The equation of the line in Slope-intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
You can solve for "y":
[tex]2y<5x-10\\\\y<\frac{5}{2}x-\frac{10}{2}\\\\y<\frac{5}{2}x-5[/tex]
You need to rewrite the expression:
[tex]y=\frac{5}{2}x-5[/tex]
You can identify that the slope of this line is:
[tex]m=\frac{5}{2}[/tex]
And the y-intercept is:
[tex]b=-5[/tex]
Substitute [tex]y=0[/tex] and solve for "x" to know the x-intercept:
[tex]0=\frac{5}{2}x-5\\\\5*2=5x\\\\x=2[/tex]
Now you know that the line passes through the points (0,-5) and (2,0).
Since the inequality is "<", you know that the line must be dashed and the shaded region must be below the line [tex]y=\frac{5}{2}x-5[/tex].
Knowing this, you can graph it (Observe the graph attached)
what's -1 and 3/5 divided by -2/3
Answer:
2 2/5
Step-by-step explanation:
-1 3/5 ÷ -2/3
Change the mixed number to an improper fraction
-1 3/5 = - (5*1 +3)/5 = -8/5
-8/5÷-2/3
Copy dot flip
-8/5 * -3/2
24/10
Divide top and bottom by 2
12/5
Change to a mixed number
12/5 = 2 2/5
Write the equation of the line that passes through the point (6, -2) and is perpendicular to the line
y = 1/3x+8.
Answer:
y = - 3x + 16
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 8 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3, so
y = - 3x + c ← is the partial equation of the perpendicular line
To find c substitute (6, - 2) into the partial equation
- 2 = - 18 + c ⇒ c = - 2 + 18 = 16
y = - 3x + 16 ← equation of perpendicular line
40 POINTS
Simplifying exponents and rules of exponents simplify the expressions below:
2 4 3 0 4 6 4 -3 2 3 2
ANSWER
a. 16
b. 1
c. 64
d. 64
EXPLANATION
We want to simplify the following exponential expressions
a.
[tex] {2}^{4} [/tex]
This implies that
[tex] {2}^{4} = 2 \times 2 \times 2 \times 2[/tex]
[tex] {2}^{4} = 16[/tex]
b. Any non-zero number exponent zero is 1.
This implies that,
[tex] {3}^{0} = 1[/tex]
c. The given exponentiial expression is,
[tex] {4}^{6} \times {4}^{ - 3} [/tex]
The bases are the same so we add the exponents.
[tex] {4}^{6} \times {4}^{ - 3} = {4}^{6 + - 3} [/tex]
This simplifies to,
[tex]{4}^{6} \times {4}^{ - 3} = {4}^{3} [/tex]
[tex]{4}^{6} \times {4}^{ - 3} = 4 \times 4 \times 4 = 64[/tex]
d. We want to simplify:
[tex] { ({2}^{3}) }^{2} [/tex]
This is the same as
[tex]{ ({2}^{3}) }{ ({2}^{3}) }[/tex]
We add the exponents now to get:
[tex]{2}^{3 + 3} = {2}^{6} = 64[/tex]
RectangleABCD has vertices at A(– 3, 1),B(– 2, – 1),C(2, 1), andD(1, 3). What is the area, in square units, of this rectangle? A.10 B.5 C.25 D.100
Answer:
Option A. [tex]10\ units^{2}[/tex]
Step-by-step explanation:
we know that
The area of the rectangle is equal to
A=LW
where
L is the length of rectangle
W is the width of rectangle
we have
[tex]A(-3,1),B(-2,-1),C(2,1),D(1,3)[/tex]
Plot the vertices
see the attached figure
L=AD=BC
W=AB=DC
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
Find the distance AD
[tex]A(-3,1),D(1,3)[/tex]
substitute in the formula
[tex]AD=\sqrt{(3-1)^{2}+(1+3)^{2}}[/tex]
[tex]AD=\sqrt{(2)^{2}+(4)^{2}}[/tex]
[tex]AD=\sqrt{20}[/tex]
[tex]AD=2\sqrt{5}\ units[/tex]
Find the distance AB
[tex]A(-3,1),B(-2,-1)[/tex]
substitute in the formula
[tex]AB=\sqrt{(-1-1)^{2}+(-2+3)^{2}}[/tex]
[tex]AB=\sqrt{(-2)^{2}+(1)^{2}}[/tex]
[tex]AB=\sqrt{5}[/tex]
[tex]AB=\sqrt{5}\ units[/tex]
Find the area
[tex]A=(2\sqrt{5})*(\sqrt{5})=10\ units^{2}[/tex]