Answers
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:
Related Questions
Cooper will deposit $1,500 into an account that earns 7% simple interest every year. His sister Trinity will deposit $1,800 into an account that earns 6% simple interest every year. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Which statement about the balances of Cooper's and Trinity's account at the end of 3 years is true?
Answers
Answer:
For Cooper :
Simple interest = $315
The total amount he would have in his account = $1815
For Trinity :
Simple interest = $324
The total amount she would have in her account = $2124
Trinity's interest is higher than Cooper's interest by $9
The total amount of money Trinity would have at the end of 3 years is higher than that of Cooper by $309
Step-by-step explanation:
Simple interest = principal x rate x time
Value = amount deposited + simple interest
For Cooper :
Simple interest = $1,500 x 0.07 x 3 = $315
The total amount he would have in his account = $1,500 + $315 = $1815
For Trinity :
Simple interest = $1800 x 0.06 x 3 = $324
The total amount she would have in her account = $1,800 + $324 = $2124
7x − 3(x − 1) = 2(2x + 3)
Answers
Answer:
no solution
Step-by-step explanation:
If the 11th term of a geometric sequence is 32 times larger than the 6th term, then what is the common ratio of the sequence?
Answers
Answer:
2
Step-by-step explanation:
Given that:
11th term of a geometric sequence is 32 times larger than the 6th term
The nth term of a geometric sequence is given by:
An = A*r^(n-1)
Where An = the nth term ; r = common ratio and n = term number ; A = first term
The 11th term:
A6 = A*r^(6 - 1) = Ar^5
A11 = 32A6 = 32Ar^5
A11 = Ar^(11 - 1) = Ar^10
Hence,
Ar^10 = 32Ar^5
r^(10 - 5) = 32
r^5 = 2^5
Hence, r = 2
if h(x)=5+c and k(h)=1/x, which expression is equivalent to (k•h)(x) a. (5+x)/x b.1/(5+x) c. 5+(1/x) d. 5+(5+x)
Answers
Answer:
A
Step-by-step explanation:
We are given the two functions:
[tex]\displaystyle h(x)=5+x \text{ and } k(x) = \frac{1}{x}[/tex]
And we want to find:
[tex](k\cdot h)(x)[/tex]
Recall that this is equivalent to:
[tex]\displaystye (k\cdot h)(x) = k(x) \cdot h(x)[/tex]
Substitute and simplify:
[tex]\displaystyle \begin{aligned} (k\cdot h)(x) & = \left(\frac{1}{x}\right)(5+x) \\ \\ & = \frac{5+x}{x} \end{aligned}[/tex]
In conclusion, our answer is A.
Answer:
A. (5 + x) / x
Step-by-step explanation:
h(x) = 5 + x
k(h) = 1 / x
express the above to (k*h)(x)
(k*h)(x) = (1 / x) * (5 + x)
= 1/x (5+x)
= 1 * (5 + x)
x
= 1 (5 + x) = 5 + x
= 5 + x
x
Which parent functions have no symmetry?
Cubic
Quadratic
Greatest Integer
Square Root
Exponential
Rational
Linear
Absolute Value
Answers
Answer:
Square Root, Greatest Integer
Step-by-step explanation:
Functions can be symmetrical in two ways: They can be symmetrical across a line or symmetrical across a point.
In a Square root function, when reflected across the y-axis, the graph has no symmetry because -x returns a different value when plugged into the function.
For a Greatest Integer function, with [tex]\lfloor x \rfloor[/tex], if we change the value of x to -x and we floor -x, we get a different value than the original.
Hope this helped!
Points A, P, and B are collinear on AB, and PB:AB = 2/7. A is located on the origin (0,0), P is located at (10, -5), and B is located at (x, y). Which axis is closer to B, the x-axis or the y-axis? Justify your answer.
I don't know how to show the work.
Answers
Answer:
The x-axis is closer to B.
Step-by-step explanation:
Since the ratio PB:AB = 2/7 is positive, the line divides internally. So, we use the equation for the coordinates of a point that internally divide a line.
So, x = (mx₂ + nx₁)/(m + n) and y = (my₂ + ny₁)/(m + n)
where PB/AB = 2/7 = n/m. So, n = 2 and m = 7
Also, Point A = (0,0) = (x₁, y₁) and point P = (10, -5) = (x₂, y₂).
Substituting these values into x and y, we have
x = (mx₂ + nx₁)/(m + n)
x = (7(10) + 2(0)₁)/(7 + 2)
x = (70 + 0)/9
x = 70/9
x = 7⁷/₉
y = (my₂ + ny₁)/(m + n)
y = (7(-5) + 2(0)₁)/(7 + 2)
y = (-35 + 0)/9
y = -35/9
y = -3⁸/₉
So, the x and y coordinates of B are 7⁷/₉ and -3⁸/₉ respectively. So, point B is -3⁸/₉ units away from the x-axis and 7⁷/₉ units away from the y-axis. So the x-axis is closer to B.
Determine which of the following are the solutions to the equation below.
Answers
Answer:
D
you want to use the quadratic formula so you send the 6 over with the x² so you substact 6 on both sides and and and invisible 0x having your equation x²+0x-6 and substitute that equation into the quadratic formula
What is the domain of the
quadratic parent function y=x2?
Answers
Answer:
[tex]\Large \boxed{\mathrm{All \ real \ numbers}}[/tex]
Step-by-step explanation:
[tex]y=x^2[/tex]
The domain are the set of all possible values for x.
There are no restrictions on the value of x.
The domain is all real numbers.
3x-2y = -1
у= 4х - 7
Answers
Answer:
x =3
y =5
Step-by-step explanation:
Solve by substitution
[tex]\begin{bmatrix}3x-2y=-1\\ y=4x-7\end{bmatrix}\\\\\mathrm{Subsititute\:}y=4x-7\\\\\begin{bmatrix}3x-2\left(4x-7\right)=-1\end{bmatrix}\\\\\mathrm{Simplify}\\\begin{bmatrix}-5x+14=-1\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-5x+14=-1:\quad x=3\\\mathrm{For\:}y=4x-7\\\\\mathrm{Subsititute\:}x=3\\y=4\times\:3-7\\\\Simplify\\y=5\\x=3,\:y=5[/tex]
3x-8x+14=-1
-5x+14=-1
subtract 14 on both sides
-5x=-15
divide -5 on both sides
x=3
Benito embroiders and sells T-shirts. The graph shows his profit as a function of the number of shirts sold. After selling a certain number of shirts, Benito uses some earnings to buy more materials and then increases the price of the shirts. Which of the following is true? A coordinate plane with 12 distinct points plotted which are not connected. The points are 0 comma negative 20, 1 comma negative 10, 2 comma 0, 3 comma 10, 4 comma 20, 5 comma 30, 6 comma 40, 7 comma 50, 8 comma 25, 9 comma 40, 10 comma 55, and 11 comma 70. Group of answer choices The x-intercept represents the shirts he has to sell before making a profit. Benito increases the price after selling 50 shirts. The y-intercept represents the cost of one T-shirt. The domain of the function is {x | x is a real number greater than or equal to 0}.
Answers
Answer:
The correct option is;
The x-intercept represents the shirts he has to sell before making a profit
Step-by-step explanation:
The given data are;
(0, -20), (1, -10), (2, 0), (3, 10), (4, 20), (5, 30), (6, 40), (7, 50), (8, 25), (9, 40), (10, 55), (11, 70)
The data show a linear relationship because successive data point increases by the same amount of 10 for x between 0 and 7 and 15 for x between 8 and 11;
Therefore;
Slope, m of the first linear portion using points (2, 0), and, (4, 20) gives;
m = (20 - 0)/(4 - 2) = 10
The equation of the line is therefore;
y - 20 = 10·(x - 4)
y = 10·x - 40 + 20
y = 10·x - 20
The y-intercept (x = 0) is y = -20
The x-intercept (y = 0) is found as follows;
0 = 10·x - 20
20 = 10·x
10·x = 20
x = 20/10 = 2
Therefore, when x = 2 we have;
Profit = y = 10·x - 20 = 10×2 - 20 = 0
Which can be expressed as, he has to sell more than 2 shirts to make profit
Therefore, the correct option is that the x-intercept represents the shirts he has to sell before making a profit.
A chess club with 60 members is electing a new president. Karen received 39 votes. what percentage of the club members voted for Karen?
Answers
Answer:
65% voted for Karen
Step-by-step explanation:
Answer:
65%
Step-by-step explanation:
Question 2 (1 point)
According to Hooke's Law, the force needed to stretch a spring varies directly to the amount the spring is stretched 150 pounds of force
stretches a spring five inches, how much will the spring be stretched by a force of 180 pounds?
inches
Blank 1:
Answers
===========================================
Explanation:
x = amount (in inches) the spring is stretched
y = force applied (in pounds)
y = kx for some constant k, since x and y vary directly
---------------
Plug in the given info that x = 5 and y = 150 pair up together
Solve for k
150 = k*5
150/5 = k
k = 30
The equation goes from y = kx to y = 30x. Whatever the stretching distance (x) is, you multiply by 30 to get the force needed (y) to pull the spring.
---------------
Plug in y = 180 to solve for x
y = 30x
180 = 30x
30x = 180
x = 180/30
x = 6
The spring will be stretched 6 inches if you apply a force of 180 pounds.
When you are translating a function what does +d mean and -d mean
Answers
Answer:
ONe is postive and the other is negetive
Step-by-step explanation:
what is the value of m in −4(m−26)=−12m
Answers
Answer:
M = -13
Step-by-step explanation:
Divide both sides by -4−4.
m−26=3m
Subtract mm from both sides.
−26=3m−m
Simplify 3m - m to 2m.
−26=2m
Divide both sides by 2
− 26/2=m
Simplify 26/2 to 13
-13=m
Switch sides.
m=13
Answer:
-13
Step-by-step explanation:
1. First distribute
2. Then get m on one side by adding 4m to both sides
3. Combine the numbers with the variable m
4. You need to get m by itself so divide both sides of the equation by -16
5. You should get m=-13
1.-4(m-26)=-4m+104 4m+4m+104=-12m
2. 104=-12m-4m
3. 104=-16m
4. 104/-13=-16/-16m
5. -13=m
Jaime flipped a coin 20 times, and it landed on heads 15 out of the 20 times. Which would be the BEST way for Jaime to change his experiment so that his experimental probability of the coin landing on heads is closer to the theoretical probability?
Answers
Answer:
what is theoretical probability
PLz help 20 POINTS ASAP
Answers
Answer:
2, 1, 3, 4
Step-by-step explanation:
For future reference:
Make all the numbers (accept for the second one) into a common form. For example a decimal.
For the first one, it will simplify into 3/2 since both 9 and 4 can be easily rationalized.
The second can't be written as a decimal, but it will easily become the least greatest number.
The third is already a decimal and the fourth could just be divided 5/3 using a calculator.
From there you'll have
1.5, /5, 2.5, and 1.67
Answer:
1: 9/4
2: 5/3
3: 2.5
4. 5
Step-by-step explanation:
the square root of 9/4 is 1.5
5/3 = 1.6
2.5
and the square root of 5 is 2.23
If a point (5.2) is rotated counterclockwise 90° about the origin, its image will be point
Answers
Answer:
(-5.-2)
Step-by-step explanation:
I hope this helps u
Answer: (-2,5)
Step-by-step explanation:
90 degrees counter clockwise= (x,y)->(-y,x)
Part of the population of 4,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 12 of them are infected. How many elk are likely to be infected? Based on the sample, there will likely be infected elk in the wildlife preserve.
Answers
Answer:
876
Step-by-step explanation:
7689686896
If EF=2x-8, FG=4x-13 and EG= 27 find the. Value of x
Answers
Answer:
[tex]\Huge \boxed{x=8}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
E ———— F ———— G
EG = EF + FG
27 = (2x - 8) + (4x - 13)
Combining like terms.
27 = 6x - 21
Adding 21 to both sides.
48 = 6x
Dividing both sides by 6.
8 = x
[tex]\rule[225]{225}{2}[/tex]
The value of the variable x will be 1.
What is a line segment?A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
If EF = 2x - 8, FG = 4x - 13, and EG = 27.
Point F lies on the line segment EG. Then we have
EG = EF + FG
27 = 2x - 8 + 4x - 13
27 = 6x - 21
6 = 6x
x = 1
Then the value of the variable x will be 1.
More about the line segment link is given below.
https://brainly.com/question/25727583
#SPJ2
17) Eli packed 1,920 peanuts into 8 sacks. He packed an equal number of peanuts in each sack. How many peanuts did he pack into each sack?
Answers
Answer:
240
Step-by-step explanation:
you have to divide 1,920 by 8
If point Cis between points A and B, then AC + CB =
A. BC
B. ABC
C. AB
D. CA
Answers
Answer:
C AB
Step-by-step explanation:
When, point C is between points A and B,
Then, AC + CB = AB
What is mean by Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
A point C is between points A and B,
Now, When point C is between points A and B,
Then, We get;
⇒ AC + CB = AB
Thus, When, point C is between points A and B,
Then, AC + CB = AB
Option C is true.
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ7
order each number greatest to least 1/2, -2, square root of 5, -7/4, 2.4
PLEASE HELP ME
Answers
Answer:
I think its
2.4, square root of 5, 1/2, -7/4, -2
hope this helps :D
At McDonald’s, a cheeseburger has 1/10 pound of meat. A
quarter-pounder has 1/4 pound of meat.
a. How much more meat is used for the quarter-pounder?
Answers
Answer:
3/20 of more meat is used for a quarter pounder
What is the value of x in the equation −6 + x = −2? (5 points) a 8 b 4 c −4 d −8
Answers
Answer: Bippie boppy boo the answer is true!
Step-by-step explanation: It is B! I did the test
What is 5.57575757... as a fraction ?
Answers
Answer:
[tex]\frac{5.57575757}{1}[/tex]
Step-by-step explanation:
Assuming you can't use a calculator:
5.575757... = 5 + 0.575757...
let 0.575757... = x
1) Substitute x for 0.575757...
5.575757... = 5 + x
2) Multiply both sides by 100
100(5.575757...) = 100(5+x)
557.575757... = 500 + 100x
3) Subtract 500 from both sides
57.575757... = 100x
4) 57.575757... can be written as 57 + 0.575757...
57 + 0.575757... = 100x
5) Substitute x for 0.575757...
57 + x = 100x
6) Subtract x from both sides
57 = 99x
7) divide both sides by 99
x = 57/99
8) plug in 57/99 for x in our original equation
5.575757... = 5 + (57/99)
9) simplify
5.575757... = ((5*99)/99) + (57/99)
5.575757... = (495/99) +(57/99)
5.575757... = (495+57)/99
5.575757... = 552/99
5.575757... as a fraction is 552/99
If angle ABC measures 35 degrees and angle BAC measures 115 degrees, what’s the angle measure of DCB?
Answers
Answer:
30 degrees
Step-by-step explanation:
Assuming you are talking about a triangle, you would add 35 and 115 to get 150. Then subtract from 180.
35+115=150
180-150=30
What is the area of the composite figure?
4 in
O (877 + 6) in.2
(817 + 12) in 2
(877 + 18) in 2
(81T + 24) in 2
3 in
Answers
Answer:
8π + 12 in²
Step-by-step explanation:
Just add the areas of the semicircle and the triangle.
In Vancouver, the high temperature for the day was 6° C. On the same day, the high temperature in Calgary was −3° C. What was the difference in high temperatures between the two cities?
Answers
Answer:
9
Step-by-step explanation:
|6|+|-3|=9
I just need the answer thanks. D is 57 ouces if you can't see it
Answers
Answer:
c) 20 ounces
Step-by-step explanation:
rectangular room is 15 feet long and 12 feet wide.a . How many feet of baseboard are needed to reach around the room? (Ignore door openings.) b . How many one-foot-square tiles are needed to cover the floor
Answers
P= 2(15) + 2(12)
P = 30 + 24
P = 54
You will need 54 ft baseboard
A= LxW
A= 15x12
A= 180
You will need 180 one foot square tiles