A point represents a location. A coordinate on a plane .
The intersection of two planes is a line.
How do I solve this?
Hi there! Hopefully this helps!
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Answer: [tex]\boxed{\frac{6\sqrt{5} }{29} = 0.462634754 }[/tex]~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]\frac{175-172}{\frac{29}{\sqrt{20} } }[/tex]
Subtract 172 from 175 to get 3.
[tex]\frac{3}{\frac{29}{\sqrt{20} } }[/tex] ≈ 0.462634754
Factor [tex]20=2^{2} \times 5[/tex]. Rewrite the square root of the product [tex]\sqrt{2^{2} \times 5 }[/tex] ≈ [tex]4.472135955[/tex] as the product of square roots [tex]\sqrt{2^{2} } \sqrt{5}[/tex] ≈ 4.472135955. Take the square root of [tex]2^{2}[/tex] ≈ [tex]4[/tex]
[tex]\frac{3}{\frac{29}{2\sqrt{5} } }[/tex]
Rationalize the denominator of [tex]\frac{29}{2\sqrt{5} }[/tex] ≈ [tex]6.484597135[/tex] by multiplying numerator and denominator by [tex]\sqrt{5}[/tex] ≈ [tex]2.236067977.[/tex]
[tex]\frac{3}{\frac{29\sqrt{5} }{2(\sqrt{5} )^{2} } }[/tex]
The square of [tex]\sqrt{5}[/tex] ≈ [tex]2.236067977[/tex] is 5.
[tex]\frac{3}{\frac{29\sqrt{5} }{2 \times 5 } }[/tex] ≈ [tex]0.462634754[/tex]
Multiply 2 and 5 to get 10.
[tex]\frac{3}{\frac{29\sqrt{5} }{10 } }[/tex] ≈ [tex]0.462634754[/tex]
Divide 3 by [tex]\frac{29\sqrt{5} }{10}[/tex] ≈ 6.484597135 by multiplying 3 by the reciprocal of [tex]\frac{29\sqrt{5} }{10}[/tex] ≈ [tex]6.484597135.[/tex]
[tex]\frac{3\times 10}{29\sqrt{5} }[/tex] ≈ [tex]0.462634754[/tex]
Rationalize the denominator of [tex]\frac{3\times 10}{29\sqrt{5} }[/tex] ≈ 0.462634754 by multiplying numerator and denominator by [tex]\sqrt{5}[/tex] ≈ [tex]2.236067977.[/tex]
[tex]\frac{3\times 10\sqrt{5} }{29(\sqrt{5})^{2} }[/tex] ≈ [tex]0.462634754[/tex]
The square of [tex]\sqrt{5}[/tex] ≈ [tex]2.236067977[/tex] is 5.
[tex]\frac{3\times 10\sqrt{5} }{29 \times {5} }[/tex] ≈ [tex]0.462634754[/tex]
Multiply 3 and 10 to get 30.
[tex]\frac{30\sqrt{5} }{29 \times {5} }[/tex] ≈ [tex]0.462634754[/tex]
Multiply 29 and 5 to get 145.
[tex]\frac{30\sqrt{5} }{145 }[/tex] ≈ [tex]0.462634754[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Divide [tex]30\sqrt{5}[/tex] ≈ [tex]67.082039325[/tex] by 145 to get, you guessed it, [tex]\frac{6}{29}\sqrt{5}[/tex] ≈ [tex]0.462634754.[/tex][tex]\frac{175-172}{\frac{29 }{\sqrt{20} } } = \frac{3}{\frac{29}{\sqrt{20} } } =\frac{3\sqrt{20} }{29}=\boxed{\frac{6\sqrt{5} }{29} } = \boxed{0.463}[/tex]
Refer to the attached image for further explanation:
Use the Distance Formula to answer the following questions. Round all of your answers to the nearest tenth (one decimal place). 2) Find the distance between the points (-3, 1) and (5,-2). Round your answer to the nearest teeth.
Answer:
distance= 9 units to the nearest
Step-by-step explanation:
using the formula
√(∆x)^2+(∆y)^2
√73
= 8.5
= 9 units
===========================================
Work Shown:
d = distance between (-3,1) and (5,-2)
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-5)^2 + (1-(-2))^2}\\\\d = \sqrt{(-3-5)^2 + (1+2)^2}\\\\d = \sqrt{(-8)^2 + (3)^2}\\\\d = \sqrt{64 + 9}\\\\d = \sqrt{73}\\\\d \approx 8.5440037\\\\d \approx 8.5\\\\[/tex]
Alternatively, you can plot the two points on the same xy grid. Then form a right triangle with the two points as the endpoints of the hypotenuse. Use of the pythagorean theorem will result in getting the same approximate distance. The distance formula is effectively the same as the pythagorean theorem, but just in a different form.
A student charges twenty dollars per hour to type college papers. The student's average typing speed is fifty words per minute. At this rate, how much should the student charge for typing a paper that contains 31,500 words?
Answer:
$210
Step-by-step explanation:
Find the limit of the function algebraically. lim x— >-10 x^ 2 -100/ x+10
Answer:
Step-by-step explanation:
Hello,
[tex]\dfrac{x^2-100}{x+10}=\dfrac{x^2-10^2}{x+10}=\dfrac{(x-10)(x+10)}{x+10}=x-10\\\\\text{so, we can conclude.}\\\\\displaystyle \lim_{x\rightarrow-10} \ \dfrac{x^2-100}{x+10}=-10-10=-20[/tex]
Thanks
A rectangular pool is twice as
long as it is wide. What are the
dimensions of the pool if the
perimeter is 48 yd?
Step-by-step explanation:
L=2B
P=2(L+B)
48=2(2B+B)
48=2(3B)
48=6B
B=8yd
L=2*8
=16yd
Answer:
length * width = 16 yd * 8 yd
or
length = 16 yd
width = 8 yd
Step-by-step explanation:
take the rectangular pool to have sides a (length) and 2a (width).
we are told that the length is as twice as its width, therefore,
Perimeter is given by (a + 2a) × 2 = 48 yd
Divide both sides by 2 ⇒ [tex]\frac{((a + 2a) * 2)}{2} = \frac{48 yd}{2}[/tex] ⇒ a + 2a = 24 yd
⇒3a = 24 yd
Divide both sides by 3 ⇒ [tex]\frac{3a}{3} = \frac{24 yd}{3}[/tex] ⇒ a = 8 yd
therefore, the width of the pool is 8 yd and its length is 16 yd (Twice as long as it is wide)
5 pens cost $7.45. Calculate the cost of:
one pen,
Answer:
$1.49
Just divide 7.45 by 5 and you'll get your answer
Which of the following options correctly represents the complete factored form of the polynomial?
Answer:
B
Step-by-step explanation:
f(x)=(x-3)(x²+2x+2)
when solve for x using quadratic formula fo x in (x²+2x+2):
x=(-b±√b²-4ac)/2a a=1,b=2,c=2
x=-1±i
f(x)=(x-3)(x+1-i)(x+1+i)
The complete factored form of the polynomial is F(x) = (x - 3)(x + 1 + i)(x + 1 - i).
To find the complete factored form of the polynomial F(x) = x³ - x² - 4x - 6, we can factor it using various methods such as synthetic division or factoring by grouping.
Factoring the polynomial, we get:
F(x) = (x + 3)(x - 1)(x + 2)
Comparing the factored form with the options provided:
A. F(x) = (x + 3)(x + 1)(x - 1)
This option does not match the factored form of the polynomial.
B. F(x) = (x - 3)(x + 1 + i)(x + 1 - i)
f(x)=(x-3)(x²+2x+2)
When solve for x using quadratic formula fo x in (x²+2x+2):
x=(-b±√b²-4ac)/2a
x=-1±i
f(x)=(x-3)(x+1-i)(x+1+i)
So, the is the required factored form.
C. F(x) = (x - 3)(x + 1 + i)(x - 1 - i)
This option does not match the factored form of the polynomial.
D. F(x) = (x + 3)(x + 1 + i)(x + 1 - i)
This option does not match the factored form of the polynomial.
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Can someone help me pelase?? 20
Answer:
[tex]y=2x-2[/tex]
Step-by-step explanation:
Because the coordinates for x = 0 is (0,-2) so that's your y- intercept.
Then if you all you have to do is make sure that you have the correct slope.
So i just made a table on paper and started going up and seeing what slope i'd need to match the table on the screen.
[tex]2(0)-2=-2\\2(1)-2=0\\2(2)-2=2\\2(3)-2=4[/tex]
Can someone help me with this problem please??? If ƒ( x ) = x 2 + 1 and g( x ) = 3 x + 1, find 2 · ƒ(4). A. 18 B.34 C.65
Answer: B
Step-by-step explanation:
They've given you two functions f(x) = x^2 + 1 and g(x) = 3x +1 And they are you to find 2 * f(4) then g(x) is not needed so input in 4 for the function f(x) and multiply the output by 2.
F(4) = 4^2 + 1
F(4) = 16 +1
f(4) = 17
17 * 2 = 34
Answer:
B.34Step-by-step explanation:
[tex]f( x ) = x^ 2 + 1 \\ g( x ) = 3 x + 1\\\\f(4) \times 2 = ?\\f(4) = 4^2 +1\\\\=( 16+1) \times 2\\\\= 17\times 2\\\\= 34[/tex]
The function h(x)=4/3x-1 represents the composite h(x)=f(g(x)).if f(x)=2x-1,what is g(x)
Answer:
[tex]g( x) = \frac{2}{3}x[/tex]
Step-by-step explanation:
Given:
Composite Function:
[tex]h( x)=f( g( x))[/tex]
Also,
[tex]h( x)=\frac{4}{3}x-1[/tex]
To find:
[tex]g( x ) = ?[/tex]
Solution:
First of all, let us learn about a composite function.
Composite function [tex]f( g( x))[/tex] means to write [tex]g( x)[/tex] in place of [tex]x[/tex] in the function [tex]f( x)[/tex].
Let [tex]g( x) = y[/tex]
So, [tex]f( g( x))[/tex] = [tex]f( y )[/tex].
Therefore,
[tex]h( x) =f( g( x)) = f( y)[/tex]
So, [tex]f( y) = 2y-1[/tex]
We have to solve for [tex]y[/tex] in terms of [tex]x[/tex] to find the value of [tex]g(x)[/tex]:
[tex]\Rightarrow \frac{4}{3}x-1 = 2y-1\\\Rightarrow 2y=\frac{4}{3}x\\\Rightarrow y = \frac{2}{3}x[/tex]
Hence, the answer is [tex]g( x ) = \frac{2}{3}x[/tex].
Checking whether the answer is correct or not:
[tex]f( g( x)) = f( \frac{2}{3}x) = 2\times \frac{2}{3}x -1 = \frac{4}{3}x-1[/tex]
which is [tex]h( x)[/tex].
Hence, our answer [tex]g( x ) = \frac{2}{3}x[/tex] is correct.
The g(x) of the function is:
g(x) = (2/3)x
How to find what g(x) is?A function is a relationship between inputs where each input is related to exactly one output.
Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
We have:
h(x) = (4/3)x - 1
h(x) = f(g(x))
f(x) = 2x - 1.
Thus, we can say:
h(x) = f(g(x)) = 2*g(x) - 1
(4/3)x - 1 = 2g(x) - 1
(4/3)x - 1 + 1= 2g(x)
(4/3)x = 2g(x)
(4/3)x * 1/2 = g(x)
(2/3)x = g(x)
g(x) = (2/3)x
Therefore, g(x) = (2/3)x.
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Find the value of the following OK I NEED HELP AND ALL IK IS THAT THE ANSWER IS 7 but how do u get seven can someone please work the steps out for me?
Answer:
7Step-by-step explanation:
[tex] {7}^{2} \times {7}^{0} \div 7[/tex]
Follow PEDMAS order of operations
[tex] {7}^{2} = 49 \\ {7}^{0} = 1 \\ = 49 \times 1 \div 7 \\ = 49 \div 7 \\ = 7[/tex]
If you have any more questions, please let me know.
the first half of food+the last quarter of door
Answer:
For
Step-by-step explanation:
the first half of food + the last quarter of door
= F o o d + d o o r
= Fo + r
= For
=
Initial Knowledge Check
Find the value of 8+c when c=15.
Answer:
23
Step-by-step explanation:
8+c
Let c = 15
8+15
23
Answer: 23
Step-by-step explanation:
If c is 15 then plot 15 into the expression and add them
8 + 15 = 23
Solving Quadratics
Solve for all values of x by factoring. x² + 4x + 5 = -6x + 5
Answer: x=5 and x=-1
Step-by-step explanation:
X^2-4x-5=0
(X-5) (x+1)=0
X-5=0. And. X+1=0
Given x=-3, y=6, and z=-4 x+y+(-1)=
Answer:
8
Step-by-step explanation:
x=3
y=6
to find x+y-1, sub in x and y
3+6-1 = 8
Answer: 8
Step-by-step explanation:
x+y+(-1), given x=3, y=6, and z=-4
---------
x+y+(-1)
=(3)+(6)+(-1) ⇔ substitute x and y
=9+(-1) ⇔ add 3 and 6
=8
Hope this helps!! :)
Please let me know if you have any questions
What is the area of 6ft and 5ft
Answer:
30 ft
Step-by-step explanation:
6 x 5 = 30
you multiply 6 times 5 and you get 30
Step-by-step explanation:
Suppose that PR=47. Solve for x and find the lengths of PQ, and QR.
Please show all work and not just the answers.
Answer:
x = 10
PQ = 27
QR = 20
Step-by-step explanation:
You can add up PQ and QR and set it equal to PR. Solve for x.
(2x + 7) + (2x) = 47
2x + 7 + 2x = 47
4x + 7 = 47
(4x + 7) - 7 = 47 - 7
4x = 40
4x/4 = 40/4
x = 10
Now, use the solved x-value to find PQ and QR.
PQ = 2x + 7
PQ = 2(10) + 7
PQ = 20 + 7
PQ = 27
QR = 2x
QR = 2(10)
QR = 20
About 500 medicine cups are used daily at a long-term care facility nurse claims at approximately 4000 medicine cups are use a week what is the day to week use rate of medicine cups
Answer:
[tex]Rate = 0.125[/tex]
Step-by-step explanation:
Given
[tex]Daily\ Cups = 500[/tex]
[tex]Weekly\ Cups =4000[/tex]
Required
Determine the day to week rate
This can be calculated by dividing the daily medicine cups by the weekly cups;
[tex]Rate = \frac{Daily}{Weekly}[/tex]
Substitute 500 for Daily and 4000 for Weekly
[tex]Rate = \frac{500}{4000}[/tex]
[tex]Rate = 0.125[/tex]
Hence, the rate of the daily to weekly medicine cup is 0.125
Find the product using Distributive property (a) 838 × 103 (b) 91625 × 179 - 91625 ×79
Answer:
a) 86,314.
b) 9,162,500.
Step-by-step explanation:
(a) 838(100 + 3)
= 83800 + 2514
= 86314.
(b) 91625 x 179 - 91625 x 79
= 91625(179 - 79)
= 91625 x 100
= 9162500.
Answer:
a,b are the right answers
Step-by-step explanation:
Name the Reflection Rule that results in the following transformation
A(1,4), B(2, 7), C(9, 3) to
A'(1,-4), B'(2, -7), C'(9, -3)
Two cubes have volumes in the ratio 27: 64. Find the ratio of their surface areas
Answer:
Ratio of their surface area = 9:16
Step-by-step explanation:
Volume of cube A = a^3
Volume of cube B = b^3
Ratio of their volumes= 27:64
Volume of cube A = a^3
27 = a^3
a= 3√27
= 3
Volume of cube B = b^3
64 = b^3
b =3√64
= 4
Surface area of cube a = 6a^2
=6 × 3^2
= 6 × 9
= 54
Surface area of cube b = 6b^2
= 6 × 4^2
= 6 × 16
= 96
Surface area of cube a : surface area of cube b
= 54:96
= 9:16
Find area of a parallelogram with a height of 8 inches and a base of 14 inches
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{112 \: {inches} \: ^{2} }}}}}[/tex]
Step-by-step explanation:
Given,
Height of a parallelogram ( h ) = 8 inches
Base of a parallelogram ( b ) = 14 inches
Area of a parallelogram ( A ) = ?
Finding the area of a parallelogram
[tex] \boxed{ \sf{area \: of \: parallelogram \: = \: base \: \times \: height}}[/tex]
⇒[tex] \sf{area \: of \: parallelogram \: = \: 14 \: \times 8}[/tex]
⇒[tex] \sf{area \: of \: parallelogram = 112 \: {inches}^{2} }[/tex]
Hope I helped!
Best regards! :D
Write as an improper fraction
8 1/2
(Simplify your answer.)
Answer:
[tex]\frac{17}{2}[/tex]
Step-by-step explanation:
To convert a mixed fraction to a improper fraction, you have to multiply the denominator (2) by the whole number (8). 8 multiplied by 2 is 16. Then add the numerator (1). 16+1=17. That becomes your numerator, the denominator (2) stays the same.
I hope this helps!
please answer and give reasoning. might give brainliest.
Answer:
A
Step-by-step explanation:
A contains √3 --> irrational number because 3 is not a square number
For other choices:
- All numbers in the form a/b (a,b are integer numbers) are rational numbers
- √36, √9, √4, √25, √49, √100 are integer numbers because (36, 9, 4,....) are square numbers
- All given decimal numbers can be written in the fraction form
0.5 = 1/2
39.77 = 39 + 77/100 = 3977/100
0.15151578 and 0.00010001 are finite decimals, 0.303030... is infinite repeating decimal, so technically they are rational numbers.
20 POINTS!!! NEED ALL 4 ANSWERED!!!
Set the two sides equal to each other and solve for x!
① -2x + 81 = 61
② 9x - 58 = 5
③ 21 + 10x = 3x + 28
④ 9x - 42 = 2x
(I already put them in the correct forms based on each images But here's the images anyways, just in case.)
Answer:
1. x = 10 2. x = 7 3. x = 1 4. x = 6
Explanation:
1. -2x + 81 = 61 (Subtract 81 from 61)
-2x = -20 (Divide)
x = 10
2. 9x - 58 = 5 (Add 58 to 5)
9x = 63 (Divide)
x = 7
3. 21 +10x = 3x + 28 (Rearrange expression)
21 - 28 = 3x - 10x (Combine like terms)
-7 = -7x (Divide)
x = 1
4. 9x - 42 = 2x (Rearrange)
9x - 2x = 42 (Combine like terms)
7x = 42 (Divide)
x = 6
How does the experimental probability of choosing a yellow tile compare with the theoretical probability of choosing a yellow tile
Answer:
The experimental probability is the same as the theoretical probability.
Step-by-step explanation:
The given data is:
color observed frequency relative frequency
Red 15 3/10
Blue 12 6/25
Green 8 4/25
Yellow 10 1/5
Purple 5 1/10
The experiment was repeated 50 numbers of times.
Solution:
Theoretical probability is basically what is expected to happen without experimenting and experimental probability is what actually happens as a results of an experiment.
Theoretical probability = favorable outcomes / all possible outcomes
Experimental probability = no. of times outcome occurs / no. of times
experiment is performed The experimental probability and theoretical probability are same i.e. 1/5
This can be seen from the table:
Experimental probability = 1/5
As the experiment is performed 50 times and the outcome (yellow tile) occurs 10 times so using the formula of experimental probability:
10/50 = 1/5
Now as given, there are 5 number of tiles (red,blue,green,yellow,purple) so number of possible outcomes is 5. Yellow tile among these 5 tiles is 1. So the favorable outcomes is 1. So looking at the given formula of theoretical probability:
1/5
So
experimental probability = 1/5
theoretical probability = 1/5
Hence the experimental probability is the same as the theoretical probability.
Answer: A
Step-by-step explanation: it’s A for the lazy people
Question attached below:
Thanks! :)
Answer:
(a) aₙ = 22 + 6(n - 1)
(b) The 14th row has 100 seats
Step-by-step explanation:
1. (a) Remember that an arithmetic series has the general formula a + (n - 1)d. Here a = the first term, and d = difference between first and second term, or in other words the difference between the nth and (n + 1)th terms.
aₙ = 22 + 6(n - 1)
This is our iterative rule for this arithmetic series, aₙ = 22 + 6(n - 1).
(b) Here n = the row number. We want to know the row number that has 100 seats. Let's equate the expression '22 + 6(n - 1)' to 100, and solve for n.
100 = 22 + 6(n - 1),
100 = 22 + 6n - 6,
100 = 16 + 6n,
6n = 84,
n = 84 / 6 = 14
=> the 14th row has 100 seats
solve for x and y please
Answer:
Y=40
X=67
Step-by-step explanation:
In a cross line problem, one part of the cross, (such as 63°) is always the same on the other side. (like y+23° and 63°. This means Y=40 because 40+23 is 63.
To find x, you must know that 360° is all the way around in degrees. you know that 126° (63 +63) is already taken up. So you subtract 126 from 360 and then multiply the answer by 1/2 because you trying to find the bottom total.(360-126)=234(1/2)= 117 Lastly, you find X in the equation 2x-17=117.
x=67
Evaluate the expression: 6:3+2x7
Answer:
15.41
Step-by-step explanation:
add r to q, then add s to the result
Answer:
(r+q)+s
Step-by-step explanation:
The parentheses make it clear that r and q need to be added first.