Answer:
r=8
Step-by-step explanation:
Because 16 divided by 2 is 8
The radius of a circle has a circumference of 16 at r = 8.
What is the radius of a circle?Given: the formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference.
The circumference of a circle is equal to π.
π ≈ 3.14
multiplied by the diameter of the circle.
Therefore, the diameter has twice the length of the radius.
In equation form:
2r = d.
2r = 16.
r = 8.
Note, 2r = d,
Then, the equation C = 2πr holds and can be used in place of C = πd.
The radius of a circle has a circumference of 16 at r = 8.
Learn more about the radius of a circle
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is 11/7 and 77/63 equivalent?
is 3/5 and 45/75 equivalent?
is 1/8 and 10/80 equivalent?
is 2/9 and 18/81 equivalent?
Answer:
11/7 = (11 x 9)/(7 x 9) = 99/63 > 77/63
3/5 = (3 x 15)/(5 x 15) = 45/75
1/8 = (1 x 10)/(8 x 10) = 10/80
2/9 = (2 x 9)/(9 x 9) = 18/81
Hope this helps!
:)
Find the quadractic function to model the values in the table.
Answer: y=3x^2+3x-3
(the first option)
Answer:
3y²+3x-3
Step-by-step explanation:
the first choice
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!
Factor the expression below.
4x² - 1
A. (x - 1)(4x - 1)
B. (2xE 1)(2x + 1)
C. (x - 1)(4x + 1)
D. (2x - 1)(2x - 1).
Answer:
The answer is (2x-1)(2x+1)
Step-by-step explanation:
4x²-1 can be factorised using difference if two squares
31 points!
Find x.
A: 8
B: √8
C: 16
D: 4√2
Answer:
Answer is (A) 8
Step-by-step explanation:
For g(x)=7x, describe the value of x when g(x)>28. When g(x) >28, x > (solve for this!)
Answer:
Since g(x) = 7x, we can substitute that into g(x) > which gives us 7x > 28. This simplifies to x > 4.
Answer:
x > 4
Step-by-step explanation:
g(x)=7x
g(x) >28
Replace g(x) with 7x
7x > 28
Divide by 7
7x/7 > 28/7
x > 4
A triangle on a coordinate plane is translated according to the rule T 3.5(x, y). Which is another way to write this rule?
:
(x,y) - (x-3, y + 5)
(x,y) - (x-3, y-5)
(x, y) - (x + 3, y-5)
(x, y) = (x + 3, y + 5)
Mark this and return
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Answer:
(x, y) → (x + 3, y + 5)
Step-by-step explanation:
350 people visited a zoo the zoo has four types of tickets the manager wants a sample of size 30, stratified by ticket type. how man teenagers should be be in the sample
Answer:
10 teenagers
Step-by-step explanation:
using the formula i took the sample size of 30, then added all of the cumulative frequency to get to 650
no of teenagers = 10
can someone help me expand this polynomial?
Answer:
Step-by-step explanation:
(k-p)(k-n)
=k^2 -(p+n)k+pn
this is the expanded form..
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Multiply the first 2 terms in each brackets
k x k = k^2
Multiply the two outside terms in the brackets
k x - n = -kn
Multiply the two inside terms
-p x k = -pk
Multiply the last two terms
-p x -n = pn
Place all the values together to get your answer of:
k^2 - kn - pk + pn
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From a log 11 m long, two pieces of length 23/5 m and 33/10
m are cut off. What is the length of the remaining log?
Answer:
31/10 or 3 1/10
Step-by-step explanation:
11 - 23/5 - 33/10
PLEASE PLEAE PLEASE!!!! HELP ME
Answer:
My best answer. Hope this helps...
Step-by-step explanation:
You can see 1 full square in the triangle.
There are also 3 half squares.
The top part of the triangle also equals to 1 half square.
On the bottom right side, you have two shapes that add up to a square.
4 half squares = 2 full squares.
2 + 1 + 1 = 4
The square also has 4 squares.
Which is the better buy?
8-kilogram bag of rice for $26.04
9-kilogram bag of rice for $29.15
=============================================================
Explanation:
Calculate the unit rate for the first bag
8 kg = 26.04 dollars
8/8 kg = 26.04/8 dollars ... divide both sides by 8
1 kg = 3.255 dollars
1 kg = 3.26 dollars .... rounding to nearest cent
For the first bag, the unit rate is about 3.26 dollars per kg
---------------
Repeat for the second bag
9 kg = 29.15 dollars
9/9 kg = 29.15/9 dollars ........ divide both sides by 9
1 kg = 3.23888888888889 dollars (approx)
1 kg = 3.24 dollars .... rounding to nearest cent
The unit rate for the second bag is roughly 3.24 dollars per kg
We see that the second bag's unit rate is cheaper by 2 cents, so it is the better deal. This is despite the fact that the entire bag costs more.
What is the distance, in units, between the points (3, -2) and (7, 5)?
Answer:
Step-by-step explanation:
Hope it helped
Answer:
√65 (units)
Step-by-step explanation:
A(3, -2) and B(7, 5)
AB=√ [(xB-xA)²+(yB-yA)²]
AB=√ [(7-3)²+(5+2)²]=√(16+49)
AB=√65 (units)
Cynthia earns $680 in commissions and is paid $10.25 per hour. Javier earns $410 in commissions and is paid 12.50 per hour. What will you find if you solve for x in the equation 10.25x + 680 = 12.5x +410.
Answer:
x = 120
Step-by-step explanation:
10.25x + 680 = 12.5x +410.
Subtract 10.25x from each side
10.25x-10.25x + 680 = 12.5x-10.25x +410.
680 = 2.25x +410
Subtract 410 from each side
680-410 = 2.25x +410-410
270 = 2.25x
Divide each side by 2.25
270/2.25 =2.25x/2.25
120=x
Find the distance from the point (1,4) to the line y = 1/3x - 3
Answer:
Step-by-step explanation:
If I'm not mistaken, and I very well could be, this is a calculus problem(?). In order to find the distance without calculus you'd need a point on the given line to use to find the distance in the distance formula. But you don't have a point on the given line, so we can find the shortest distance between the point (1, 4) and the given line using the derivative of the polynomial formed when using the distance formula.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] and we have the x and y for x2 (or x1...it doesn't matter which you choose to fill in):
[tex]d=\sqrt{(1-x)^2+(4-y)^2}[/tex]
but what we find is that we have too many unknowns here, namely, the distance, the x coordinate, and the y coordinate. So we can replace the y coordinate with what y is equal to in terms of the linear equation:
[tex]d=\sqrt{(1-x)^2+(4-\frac{1}{3}x-3)^2 }[/tex] and simplify:
[tex]d=\sqrt{(1-x)^2+(7-\frac{1}{3}x)^2 }[/tex]
. No we'll expand each binomial by squaring:
[tex]d=\sqrt{(1-2x+x^2)+(49-\frac{14}{3}x+\frac{1}{9}x^2) }[/tex]
. Combining like terms gives us
[tex]d=\sqrt{\frac{10}{9}x^2-\frac{20}{3}x+50 }[/tex]
The distance between the point (1, 4) and the given line will be at a minimum when the polynomial above is at a minimum. We find the value of x for which the polynomial is at a minimum by finding its derivative, setting the derivative equal to 0, and then solving for x. The derivative of the polynomial is
[tex]\frac{20}{9}x-\frac{20}{3}[/tex]
Setting equal to 0 and getting rid of the denominators gives us
20x - 60 = 0
Solving for x gives us
20x = 60 and x = 3.
That's the value of x that gives us the shortest distance between (1, 4) and the line y = 1/3x - 3. Sub into the distance formula that x value to find the distance:
[tex]d=\sqrt{(\frac{10}{9})(3)^2-(\frac{20}{3})(3)+50 }[/tex]
which simplifies down, finally, to
x ≈ 6.325 units
Please answer CORRECTLY !!!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!
Answer:
x^2+8
Step-by-step explanation:
x+1*x+7
1) The perimeter of a rectangular classroom floor is 90 feet. The length of the floor is twice the
width. Which equation would NOT help us solve for the length and width of the classroom? Show your
your
work on
scratch paper. *
x + 2y = 90
x = 2y
2(2y) + 2y = 90
2x + 2y = 90
Answer: The equation would NOT help us solve for the length and width of the classroom is "[tex]x + 2y = 90[/tex]".
Step-by-step explanation:
Let y be the width of the rectangular classroom floor and x be the length of the rectangular classroom floor .
Given ,
The perimeter of a rectangular classroom floor is 90 feet.
The length of the floor is twice the width.
i.e. Length =2 (width)
i.e. x= 2y ..(i)
Also, perimeter = 2(length+width)
[tex]i.e. 2(x+y)=90\\\\\Rightarrow\ 2x+2y=90[/tex]
When we put value of x from (i), we get
[tex]2(2y) + 2y = 90[/tex]
Hence, the equation would NOT help us solve for the length and width of the classroom is "[tex]x + 2y = 90[/tex]".
regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during the rotation?
Answer:
Step-by-step explanation:
because A regular octagon is a closed figure with sides of the same length and internal angles of the same size. so if it is rotated 360 degrees it should coincide with its preimage after every 45 degrees.
so 360/45= 8 times
Answer:
8 times
Step-by-step explanation:
An octagon has eight sides of equal length and eight angles of same measure. So, If it is rotated 360 degrees about its center. It would coincide with all of its 8 sides. So, it will coincide with it's pre-image 8 times.
What is the equivalent exponential expression for the radical expression
below?
8 squared
Answer:
64
Step-by-step explanation:
=> 8²
=> 8 × 8
=> 64
Simplify the expression (64)2
Answer:
128 or 4,096
Step-by-step explanation:
If its 64 x 2 then 128 or if you are implying 64, to the power of two, (64x64) then your answer is 4,096.
The simplified value is 4096.
what is algebric identities?Algebraic identities are equations where the value of the left-hand side of the equation is identically equal to the value of the right-hand side of the equation. Unlike algebraic expressions, algebraic identities satisfy all the values of the variables.
The basic algebraic identities are primarily helpful to work out the numerous math problems. The four basic algebraic identities are as follows.
(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b²(a + b)(a - b) = a² - b²(x + a)(x + b) = x² + x(a + b) + abGiven:
64²
Now, we have to split the 64 into 60+4
(60 + 4)²
Now using the algebric identity
(a+ b)² = a² + b² + 2ab
So,
(60 + 4)²
=60²+2*60*4+4²
=3600+ 480+16
=3600+496
=4096
Hence, the simplified value is 4096.
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Five out of six residents of Mayville have library cards. Which tool will best allow Darren to simulate this scenario and predict whether a randomly chosen resident has a library card?
Answer:
A number cube
Step-by-step explanation:
A coin a 5-sector spinner a number cube a bag of 11 marbles
A number cube is the best to simulate this scenario and predict whether a randomly chosen resident has a library card.
As Coin has only 2 outcomes "Head" and "Tail".
A 5-sector sector spinner has only 5 outcomes we need six outcomes.
A bag of 11 marbles has no differentiated with respect to colors etc.
Hence, A number cube is correct to chosen five out of six residents of Mayville have library cards.
Answer:
c
Step-by-step explanation:
Which is a simplified form of the expression -6a + 2(2a + 2)? A. -2a + 4 B. -2a – 4 C. 2a + 4 D. 2a – 4
Answer:
A)
Step-by-step explanation:
-6a + 2(2a + 2) = -6a + 4a + 4
= -2a + 4
In science class, Liz learned that trees help make the oxygen that people breathe. One tree makes about 250 pounds of oxygen each year. Liz wonders how much oxygen the trees on her street make. When she gets home, she counts 32 trees on her street. How many tons of oxygen do they make in a year? tons
Answer: The answer is 8000 pounds, or 4 tons
Step-by-step explanation:
This is true because each tree makes about 250 pounds of oxygen. She counted 32 so.....
(32)(250)=8000
then convert 8000 pounds to tons and you get 4 tons
volume of a cylinder with a radius of 3 and a height of 2
Answer:
56.52
Step-by-step explanation:
V=πr²h
V=3.14*3²*2=56.52
Each of forty-six pet owners was asked, "Does your pet eat more wet food or dry food?" Here are the results. 9 cat owners and 13 dog owners chose "Wet food". 10 cat owners and 14 dog owners chose "Dry food". Construct a two-way frequency table for the data.
Answer:
Cat owner Dog owner Total
Wet food 9 13 22
Dry food 10 14 24
Total 19 27 46
Step-by-step explanation:
It is given that 9 cat owners and 13 dog owners chose "Wet food". 10 cat owners and 14 dog owners chose "Dry food".
Cat owners-Wet food = 9
Dog owners-Wet food =13
Cat owners-Dry food = 10
Dog owners-Dry food =14
We need to construct a two-way frequency table for the data.
Take owners in the first row and type of food in first column and construct a two-way frequency as shown below:
Cat owner Dog owner Total
Wet food 9 13 22
Dry food 10 14 24
Total 19 27 46
Which of the binomials below is a factor of this
trinomial?
x^2-3x - 10
O A. X-1
O B. x+ 2
O C. X+1
O D. X-2
Answer:
[tex](x + 2)[/tex]
Answer B is correct
Step-by-step explanation:
[tex] {x}^{2} - 3x - 10 \\ {x}^{2} - 5x + 2x - 10 \\ x(x - 5) + 2(x - 5) \\ = (x +2 ) (x - 5)[/tex]
hope this helps
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What is the power of an athlete weighing 960 N that runs through a flight of stair case in 2 mins? There are 100 stairs and each stair case has a length of 100 mm
PLS ANSWER
Answer:
Power, P = 80 W
Step-by-step explanation:
We have,
Weight of athlete is 960 N
It runs through a flight of stair case in 2 mins or 120 second
There are 100 stairs and each stair case has a length of 100 mm or 0.1 m
Power is given by :
[tex]P=\dfrac{Fd}{t}[/tex]
d is distance
For 100 stairs,
So,
[tex]P=\dfrac{960\times 100\times 0.1}{120}\\\\P=80\ W[/tex]
So, the power of an athlete is 80 watts.
What is the supplement of ∠A if m∠A = 78°?
Answer:
The supplement is 102
Step-by-step explanation:
Supplementary angles add to 180 degrees
Let x be the supplement
x+ 78 = 180
subtract 78 from each side
x+78-78 = 180-78
x = 102
Answer:
102
Step-by-step explanation:
In the word hippopotami. What fraction of the letters are Ps?
Answer:
3/11
Step-by-step explanation:
There are 11 letters in "hippopotami" and 3 of those letters are P, so the fraction of letters that are p is 3/11. Fractions are part of the whole and the part here is 3.
Answer:
3.3333333333333333333333
I want to know what is 600 minutes to days
Answer:
[tex]0.416667[/tex] of a day
Step-by-step explanation:
To get minutes to days you divide the minutes by the amount of minutes in a day which is 1440
[tex]\frac{600}{1440} \\0.416667[/tex]
Answer:
0.417 day
Step-by-step explanation:
First divide 600 by 60 the answer is 10 hours and then divide by 24 the answer would be 0.41666667 days