Answer:
The closest measurement is 15.7
Step-by-step explanation:
The formula for circumference is [tex]2\pi r[/tex]
The diameter is double the radius, so to get the radius we divide by 2.
5 divided by 2 is 2.5
Knowing "r" is 2.5 we can plug that into our equation and solve.
2 · [tex]\pi[/tex] · 2.5 ≈ 15.71
The closest measurement is 15.7
A square with sides x ft long has a
perimeter of 343 ft. How long are the
sides of the square?
You're at the aquarium, staring into a large exhibit, when you look to your left and slightly downward and you see a jellyfish. You notice that the jellyfish body looks like a very wide, upside-down parabola. What is a possible equation that models the jellyfish, assuming your eyes are at (0, 0)?
a) -2(x + 3)2 + 4
b) -3(x - 2)2 - 1
c) -25(x + 1)2 - 5 .
d) 3(x-4)2 + 2
e) Answer is not there
Step-by-step explanation:
c is an upside down parabola but it is not wide, it is very then so maybe e?
x^(2)+y^(2)+14x+18y+114=0
i will give u brainliest and my eternal love
Answer:
(x+7)^2+(y+9)^2=16
Step-by-step explanation:
This is the equation written in standard form, I'm not sure if that's what you wanted.
What is the slope of the line that contains the points (-2, 5) and (6, -3)?
Answer:
-1
Step-by-step explanation:
(-2 , 5) = (x1 , y1)
(6 , -3) = (x2 , y2)
slope of a line = y2 - y1/x2 - x1
=-3 - 5/6 - (-2)
=-8/6+2
=-8/8
=-1
therefore slope of a line is -1.
A jeweler purchases a necklace for $80. She will increase the cost by 50% to sell in her
store. What will the jeweler charge for the necklace to her customers?
Answer:
120
Step-by-step explanation:
First find the markup
80 * 50%
80*.5
40
Add this to the original cost
80+40
120
The price will now be 120
product of x+3 and x-9
Answer:
Step-by-step explanation:
(x+3)(x-9)
multiply x with whole (x-9) and 3 with (x-9)
=x(x-9)+3(x-9)
multiply the brackets
=x^2-9x+3x-27
add or subtract like terms
=x^2-6x-277 is a required answer
Answer:
[tex] {x}^{2} - 6x - 27[/tex]
Step-by-step explanation:
[tex](x + 3) \times (x - 9)[/tex]
[tex]x(x−9)+3(x−9)[/tex]
[tex]x \times x+x(−9)+3(x−9)[/tex]
[tex] {x}^{2} +x(−9)+3x+3(−9)[/tex]
[tex] {x}^{2} −9x+3x−27[/tex]
[tex] {x}^{2} - 6x - 27[/tex]
Hope it is helpful...A plumber and his assistant work together to replace the pipes in an old house. The plumber charges $30 an hour for his own labor and $20 an hour for his assistant's labor. The plumber works twice as long as his assistant on this job, and the labor charge on the final bill is $2000. How long did the plumber and his assistant work on this job
Answer:
The plumber worked 50 hours, and his assistant worked 25 hours.
Step-by-step explanation:
Since a plumber and his assistant work together to replace the pipes in an old house, and the plumber charges $ 30 an hour for his own labor and $ 20 an hour for his assistant's labor, and the plumber works twice as long as his assistant on this job, and the labor charge on the final bill is $ 2000, to determine how long did the plumber and his assistant work on this job the following calculation must be performed:
40 x 30 + 20 x 20 = 1200 + 400 = 1600
50 x 30 + 25 x 20 = 1500 + 500 = 2000
Therefore, the plumber worked 50 hours, and his assistant worked 25 hours.
Which of the following is equivalent to the expression log3(a5bc2)?
A. (log35a)(log3b)log32c
B. (5log3a)(log3b)2log3c
C. log35a+log3b−log32c
D. 5log3a+log3b−2log3c
Answer:
10log10(3)abc
The equivalent expression for the log function log3(a^5bc^2) is 5log3a+log3b−2log3c
Logarithmic functionsLogarithmic functions are expressed as the inverse of exponential functions.
Given the logarithmic expression
log3(a^5bc^2)
Since product are written in form of addition, hence;
log3(a^5bc^2) = log3(a^5) + log3(b) + log3(c^2)
The power will be carried to the back of the log function;
log3(a^5bc^2) = 5log3(a) + log3(b) + 2log3(c)
This gives the equivalent expression for the log function log3(a^5bc^2)
Learn more on logarithmic expression here: https://brainly.com/question/25710806
help plssssssssssssssssssssssssssssss
Answer:
285 mi
Step-by-step explanation:
We can see that for every gallon, Josh drives 30 more miles. This means that he will drive 30*9.5 mi.
30*9.5 = 285
Given circle R , arc BA = 35 and arc DE= 43 what is angle BCA equal to?
simplify the square root of 11.
Answer:
3.316
Step-by-step explanation:
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/10 for blue, 1/20 for black, 1/15 for pink, and 1/5 for yellow. What is the probability of pulling a blue or yellow card, written as a reduced fraction?
Answer:
3/10
Step-by-step explanation:
1/10 + 1/5 = need to get common denominators to add.
1/10 + 2/10 = 3/10
The sum of two numbers is zero. When 10 times the smaller number is added to 6 times the larger, the result is 3. Find the two numbers.
Answer:
3/4 and -3/4
or
0.75 and -0.75
but there is no solution for
10 times the smaller number added to 6 times the larger number to get 3 as result.
the absolute values of x and y must be equal and with opposite signs (due to their sum being 0).
therefore, 10 times the negative value can never be compensated by 6 times the same but positive value. the sum will always be negative and not positive (and therefore not +3).
it only works with 10 times the larger (positive) number plus 6 times the smaller (negative) value.
Step-by-step explanation:
x + y = 0
10×x + 6×y = 3
=>
x = -y
10×(-y) + 6×y = 3
-10y + 6y = 3
-4y = 3
y = -3/4
=>
x = -y = -(-3/4) = 3/4
control :
10×(3/4) + 6×(-3/4) = 30/4 - 18/4 = 3
12/4 = 3
3 = 3
correct
What are the roots of the equation x2 + 16x + 73 = 0 in simplest a + bi form?
Answer:
-8+2i and -8+2i
Step-by-step explanation:
here simply we'll use general formula
x= (-b +or - √ b^2-4ac)/2a
PLEASE HELP EASY MATH
Tomas needs lumber to make corner braces for a piece of furniture he is building. He cuts 4 feet from a board that is 8 feet long. With the wood he has left, Tomas makes 18 corner braces of equal size.
How many inches of wood does each brace use? - in
Answer: each brace is 2 & 2/3 inches long
=====================================================
Explanation:
"he cuts 4 feet from a board that's 8 feet long" means that he has 8-4 = 4 feet to work with. This converts to 4*12 = 48 inches.
Next, we cut that into 18 equal pieces
48/18 = 8/3 = 2 & 2/3
This is approximately 2.667 inches
Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graphs of the equations about the given lines. y = √x, y = 2, x = 0.
a. the x-axis
b. the line y = 2
c. the y-axis
d. the line x = -1
Answer:
a) 8π
b) 8/3 π
c) 32/5 π
d) 176/15 π
Step-by-step explanation:
Given lines : y = √x, y = 2, x = 0.
a) The x-axis
using the shell method
y = √x = , x = y^2
h = y^2 , p = y
vol = ( 2π ) [tex]\int\limits^2_0 {ph} \, dy[/tex]
= [tex]( 2\pi ) \int\limits^2_0 {y.y^2} \, dy[/tex]
∴ Vol = 8π
b) The line y = 2 ( using the shell method )
p = 2 - y
h = y^2
vol = ( 2π ) [tex]\int\limits^2_0 {ph} \, dy[/tex]
= [tex]( 2\pi ) \int\limits^2_0 {(2-y).y^2} \, dy[/tex]
= ( 2π ) * [ 2/3 * y^3 - y^4 / 4 ] ²₀
∴ Vol = 8/3 π
c) The y-axis ( using shell method )
h = 2-y = h = 2 - √x
p = x
vol = [tex](2\pi ) \int\limits^4_0 {ph} \, dx[/tex]
= [tex](2\pi ) \int\limits^4_0 {x(2-\sqrt{x} ) } \, dx[/tex]
= ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀
vol = ( 2π ) ( 16/5 ) = 32/5 π
d) The line x = -1 (using shell method )
p = 1 + x
h = 2√x
vol = [tex](2\pi ) \int\limits^4_0 {ph} \, dx[/tex]
Hence vol = 176/15 π
attached below is the graphical representation of P and h
Which sentence describes a way to determine the missing number number in the pattern?
Answer:
70910 not sure
Step-by-step explanation:
70.91 x 10 = 709.1 70.91 x 100 = 7,091 70.91 x 1,000 =
What is the difference between a bar chart and a histogram?
Answer:
In simple terms, a bar chart is used in summarizing categorical data, where a histogram uses a bar of different heights, it is similar to the bar chart in many terms but the histogram groups the numbers into the ranges while representing the data.
bar chart is a graph in the form of boxes of different heights, with each box representing a different value or category of data, and the heights representing frequencies.
but,
Histogram is graphical display of numerical data in the form of upright bars, with the area of each bar representing frequency.
Can someone please help me with this
Answer:
y = 4x
y = -1/3 × x + 6
y = x + 1
y = 1
y = 5x
Step-by-step explanation:
the slope of a line is the factor of x in the equation representing the ratio of y/x. it stands for the number of units y changes, when x changes by another number of units.
like the factor 4 tells us that when x changes by 1, then y changes by 4.
a line parallel to another line means their slopes are identical (otherwise they could not be parallel).
the slope of a perpendicular line (cutting the other line in a 90 degree angle) is simply reversing y and x in the slope ratio. so, a slope of 4 (4/1) would simply turn into 1/4.
now the 5 tasks are easy, right ?
A y=4x-1, B y=4x + c
and because B passes through the origin = (0,0),
c is 0 (0=4×0 + c = c)
B y = 4x
A y=-3x+1, B y=-1/3 × x + c
and B passes through (12,2), 2 = -1/3 × 12 + c = -4 + c,
c = 2 + 4 = 6
B y = -1/3 × x + 6
A y = ax + c for (5,6) and (7,8), B is identical
6 = a×5 + c => c = 6 - a×5
8 = a×7 + c => 8 = a×7 + 6 - a×5 = a×2 + 6
=> a×2 = 8-6 = 2
=> a = 1, c = 6 - 1×5 = 1
=> A and B y = x + 1
A is vertical. B is perpendicular to it. perpendicular to vertical is horizontal. so, B is a flat line. which means y is a constant value (the same value for whatever value of x you want to use). so it goes flat in parallel to the x-axis through what value of y ? the point (4,1) tells us that y=1
and that is the equation for B
A 15x -3y = -6 => 3y = 15x + 6 => y = 5x + 2
B is parallel, so y = 5x + c
and B passes through (4,20), 20 = 5 × 4 + c = 20 + c,
c = 20 - 20 = 0
B y = 5x
find the smallest number by which 2925 should be divided to be a perfect square
Answer: 13
Step-by-step explanation:
Given
The number is 2925
The prime factorization of 2925 is
[tex]\Rightarrow 2925=3\times 3\times 5\times 5\times 13\\\Rightarrow 2925=3^2\times 5^2\times 13[/tex]
To make 2925 a perfect square, we have to eliminate 13 from it, so divide 2925 by 13 to make it a perfect square
The perfect Sqaure becomes [tex](3\times 5)^2=225[/tex]
Find the value of x. Round your answer to the nearest tenth.
Answer:
35 is the value of x
If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple are written in increasing order but are not necessarily distinct
This question is incomplete, the complete question is;
If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple are written in increasing order but are not necessarily distinct.
In other words, how many 5-tuples of integers ( h, i , j , m ), are there with n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1 ?
Answer:
the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120
Step-by-step explanation:
Given the data in the question;
Any quintuple ( h, i , j , m ), with n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1
this can be represented as a string of ( n-1 ) vertical bars and 5 crosses.
So the positions of the crosses will indicate which 5 integers from 1 to n are indicated in the n-tuple'
Hence, the number of such quintuple is the same as the number of strings of ( n-1 ) vertical bars and 5 crosses such as;
[tex]\left[\begin{array}{ccccc}5&+&n&-&1\\&&5\\\end{array}\right] = \left[\begin{array}{ccc}n&+&4\\&5&\\\end{array}\right][/tex]
= [( n + 4 )! ] / [ 5!( n + 4 - 5 )! ]
= [( n + 4 )!] / [ 5!( n-1 )! ]
= [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120
Therefore, the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120
A right triangle ABC is shown below:
The are of the triangle above will equal one-half of a rectangle that is 5 units long and __ units wide. (Input only whole numbers, such as 8) (1 point)
The Hamilton’s are installing a new pool in their backyard .The scale drawing below represents the new pool,where 1 centimeter represents 5 feet.
I need help please asp !!!!
Solve 11ax + 12 ax = 13 ax + 60 for x. Assume a=0.
Α. α = 10a
B. x = 10a
C. x = 6a
D. x =6/a
Answer:
In the problem, the value of x is equal to 6a.
Step-by-step explanation:
For this equation, we are to solve for x.
11ax + 12ax = 13ax + 60
Add together 11 and 12 because they have like terms.
23ax = 13ax + 60
Substract 13ax on both sides.
10ax = 60
Now, we divide by 10 on both sides.
ax = 6
In order to see what x is, divide a on both sides.
x = 6a
Please help.
A: 4/7
B: 3/7
C:5/7
D: 2/7
D: 2/7
Step-by-step explanation:
The probability of an event x is how likely the event will occur. It is given as;
P(x) = number of expected outcomes / number of possible outcomes
Given:
Event A = The place is a city.
Therefore,
P(A) is the probability that the event A happens. i.e the probability that a place is a city.
P([tex]A^c[/tex]) is the probability that the event A does not happen. i.e the probability that a place is not a city
Also,
The sum of the probability that an event happens and the probability that the event does not happen is equal to 1. i.e
P(A) + P([tex]A^c[/tex]) = 1
From the table,
P([tex]A^c[/tex]) is found by counting the number of places that does not have a tick on the "is a city" column, then divide the result by the total number of places. i.e
P([tex]A^c[/tex]) = 2 ÷ 7
P([tex]A^c[/tex]) = 2/7
Therefore P([tex]A^c[/tex]) which is the probability that the place is not a city is 2/7
can anyone prove this:
1+1=3
Answer:
indeed
Step-by-step explanation:
just carry the one when adding
Step-by-step explanation:
1 = 1
41 – 40 = 61 – 60
16 + 25 – 40 = 36 + 25 – 60
4² + 5² – 2 * 4 * 5 = 6² + 5² – 2 * 6 * 5
(4 – 5)² = (6 – 5)²
4 – 5 = 6 – 5
4 = 6
2 = 3
1 + 1 = 3…proved
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plz find the area of the red shape :)
