If we write 0.125 in the fraction form then we will get 7/20.
Given Number which is 0.125
We are given a number 0.125 and we have to write this in fraction form.
0.125 can be written as 125/1000 it can be written as 7/20 by cutting on the numerator and denominator.
Fraction is a combination of numerator and denominator. If a fraction is solved then it comes in the decimal form. Recurring means the numbers which are coming again and again after the decimal.
In this fraction we have to ignore 1 and 5 because we have no idea how many times it is coming after decimal.
Hence the number 0.125 can be written as 7/20 in the fraction form.
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What is the vertex of the absolute value function defined by f(x) =3|x+7|-2
The vertex of the absolute value function is (-7,-2)
How to determine the vertex?The function is given as:
f(x) = 3|x + 7| - 2
The above function is an absolute value function.
An absolute value function is represented as:
f(x) = a|x - h| + k
Where:
Vertex = (h,k)
By comparison, we have:
(h,k) = (-7,-2)
Hence, the vertex of the absolute value function is (-7,-2)
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which expression is equivalent to...
Answer:
B
Step-by-step explanation:
Explain why a graph that fails the vertical-line test does not represent a function. Be sure to use the definition of a function in your answer
Explanation:
A function is a relationship where any one x-value/input only has one corresponding y-value/output. (note: a y-value can have multiple x-values).
> This can be called "assigning one y-value to every x element".
The vertical line test places a line that would connect all y-values of an x-value (that is, if it were to have multiple y-values). If multiple points can be found along the vertical line, it is, therefore, by the definition of a function, not a function. (Because an x-value will have more than one y-value).
So, a graph that fails the vertical-line test does not represent a function because an x-value will correspond with more than one y-value.
hope this helps!!
urgent help needed algebra 2
Answer:
it's 5 degrees celsius I think you must have entered a 4-32 instead of a 41-32 is what threw you off
Step-by-step explanation:
statement that is assumed to be true without proof is . A statement that has been shown to be true by vigorous application of logic is . is a statement that is believed to be true but hasn't been proven.
An axiom is a statement that is assumed to be true without proof.
What are the types of statements?In logic, a statement could be shown to be valid or true by the use of premises that lead to a sound conclusion.
The following terms can be used to describe the statements;
Axiom - a statement that is assumed to be true without proofTheorem - a statement that has been shown to be true by vigorous application of logicHypothesis - a statement that is believed to be true but hasn't been proven.Learn more about mathematical statements:https://brainly.com/question/17029275?
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Answer:
The answer is axiom, theorem, and then conjecture
Step-by-step explanation:
Which of the following are true statements?
Which of the following is the standard equation of the ellipse with vertices at (1, 0) and (11, 0) and an eccentricity of three fifths question mark
quantity x minus 6 end quantity squared over 100 plus y squared over 64 equals 1
quantity x plus 6 end quantity squared over 64 plus y squared over 100 equals 1
quantity x plus 6 end quantity squared over 16 plus y squared over 25 equals 1
quantity x minus 6 end quantity squared over 25 plus y squared over 16 equals 1
The equation fourth represents the ellipse that has vertices at (1, 0) and (11, 0), and an eccentricity of 3/5 option fourth is correct.
What is an ellipse?An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.
We have:
The vertices of the ellipse = (1, 0) and (11, 0)
Eccentricity of ellipse = 3/5
We have equations:
[tex]\rm \dfrac{\left(x-6\right)^{2}}{100}+\dfrac{y^{2}}{64}=1[/tex]
[tex]\rm \dfrac{\left(x+6\right)^{2}}{64}+\dfrac{y^{2}}{100}=1[/tex]
[tex]\rm \dfrac{\left(x+6\right)^{2}}{16}+\dfrac{y^{2}}{25}=1[/tex]
[tex]\rm \dfrac{\left(x-6\right)^{2}}{25}+\dfrac{y^{2}}{16}=1[/tex]
From the fourth equation:
The vertices of the ellipse:
(1, 0) and (11, 0)
The eccentricity:
c² = a² - b²
c² = 25-16
c = 3
e = c/a = 3/5
Thus, the equation fourth represents the ellipse that has vertices at (1, 0) and (11, 0), and an eccentricity of 3/5 option fourth is correct.
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18 / 48 hrs left
Divide and answer the question.
Answer: I don’t understand
Step-by-step explanation:
curved surface area of a cone = Trl, where r is the
radius and I is the slant height.
surface area of a sphere = 42, where r is the
radius.
The shape below is made from a hemisphere and a
cone, each with a radius of 6 cm.
Work out the surface area of this shape in terms of .
16 cm
6 cm
Not drawn accurately
Answer:
168π cm²
Step-by-step explanation:
The total surface area is the sum of the areas of the parts: a hemisphere and a cone.
__
area formulaThe area of a hemisphere is half the area of a sphere, so the total area is ...
total area = hemisphere area + cone area
= 2πr² +πrl
total area = πr(2r +l)
__
applicationFor the given dimensions, r = 6 cm, l = 16 cm, the total surface area is ...
total area = π(6 cm)(2(6 cm) +16 cm) = π(6)(28) cm²
total area = 168π cm²
Lydia writes the equation below with a missing value.
y = 5 x minus box
She puts a value in the box and says that the equation represents a direct variation. Which explains whether the equation could represent a direct variation?
If she puts 0 in the box she would have a direct variation.
If she puts 5 in the box she would have a direct variation.
The equation is not of the form y = k x, so it cannot represent a direct variation.
The equation has a minus sign, so it cannot represent a direct variation.
If she puts 0 in the box she would have a direct variation.
Lydia writes the equation y = 5x - __ with a missing value.
She puts a value in the box and says that the equation represents a direct variation.
We have to choose the correct option from the given options that explain that the equation could represent a direct variation.
When two variables are such that one is a constant multiple of the other, we said they are in Direct variation.
What is the direct variation?
In form of y = ax, where y and x are in direct variation.
Consider the given equation y = 5x - __
For the equation to be in direct variation the value of the missing term has to be 0.
then the equation becomes,
y = 5x
Thus, If she puts 0 in the box she would have a direct variation.
Option (a) is correct.
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Answer:
a
Step-by-step explanation:
!!WILL GIVE BRAINLIES PLS HELP!!!
Which inequality in vertex form represents the region less than or equal to the quadratic function with vertex (-6,
12) and includes the point (-9, 15) on the boundary?
Answer:
is B
Step-by-step explanation:
this is the best possible answer
How many kilometers are in 462 meters? How many kilometers are in 462 meters ?
Answer:
0.462
Step-by-step explanation:
1km=1000m
so to get from metres to kilometres you divide by 1000
so 462÷1000=0.462
What is the product of (2x - 1) (x + 4)
Answer: 2[tex]x^{2}[/tex]+7x-4
Step-by-step explanation:
Product implies multiplication so just multiply it out.
(2x-1) (x+4)
2x^2+8x-1x-4 (Combine like terms)
2x^2+7x-4
9. P(no more than 16 | prime
which ordered pair is a solution to the following system of inequalities
Answer:
it's 1,1 is the correct ans
Step-by-step explanation:
Because my teacher told its absolutely correct answer I got the same question in exam
Answer:
the answer should be the 2 one
Step-by-step explanation:
I got it right just had it.
Which equation represents an exponential function with the initial value of 500?
Answer:
A exponential equation is usually of the form f(x)=a (1±r)ˣ.
Our limitation: Initial Vale is 500.
Let's look at our options:
#1- Initial Value of 1000 --- WRONG!
#2- Initial Value of 1000 --- WRONG!
#3- Initial Value of 500 ---- Maybe
#4- Initial Value of 500 ---- Maybe
Let's look at 3 and 4:
#3- Fits Our Form of f(x)=a (1±r)ˣ ---- CORRECT!
#4- Does not fit Our Form of f(x)=a (1±r)ˣ, It's to the 2nd power, not the x power! ---- WRONG!
Hence, #3 Is correct!
Step-by-step explanation:
Well, I hope you understood, and I'd gladly explain anything that didn't make sense. A brainliest would be appreciated, thank you!
-Zylynn Jade Ardenne
solve the following inequality:
ALGEBRA 1
Answer:
[tex]m \leqslant 10 \: or \: m > 4[/tex]
Step-by-step explanation:
[tex] \frac{m - 2}{3} \leqslant - 4 \\ \frac{m - 2}{3} \times 3 \leqslant - 4 \times 3 \\ m - 2 \leqslant - 12 \\ m - 2 + 2 \leqslant - 12 + 2 \\ m \leqslant 10[/tex]
OR
[tex]3m - 8 > 4 \\ 3m - 8 + 8 > 4 + 8 \\ 3m > 12 \\ \frac{3m}{3} > \frac{12}{3} \\ m > 4 [/tex]
Which graph represents the function f(x)=2·4^x?
Answer:
A (top left)
Step-by-step explanation:
Assuming that the dot is multiplying the numbers, we get the function:
[tex]f(x) = 8^{x}[/tex]
First, lets knock off the obviously wrong answers.
Substitute 0 into the x spot, as anything to the power of zero is one.
[tex]f(0) = 8^{0}=1[/tex]
Automatically, the two answers on the right are incorrect, as y is not equal to 1 when x is 0.
Next, lets substitute 1 into the x spot, as anything to the power of one is itself.
[tex]f(1) = 8^{1} = 8[/tex]
As a result, the top left graph is correct, as y is equal to 8 when x is 1, unlike the bottom left graph.
Find the length of the side labeled . Round intermediate values
to the nearest tenth. Use the rounded values to calculate the next
value. Round your final answer to the nearest tenth.
Step-by-step explanation:
ATTACHED IS THE SOLUTION!!PLEASE DON'T HESITATE TO ASK WHERE YOU DON'T UNDERSTAND.Multiply and remove all perfect squares from inside the square roots. Assume a is positive.
3[tex]3\sqrt{5a}*8\sqrt{35a^{2} }[/tex]
The multiplication is 120*[tex]a^{3/2}[/tex].
What is exponents and powers?
Power defines a base number raised to the exponent, where base number is the factor which is multiplied by itself and exponent denotes the number of times the same base number is multiplied.
Given:
3√(5a) * 8 √(35a²)
= 3√(5a)* 8* a *√7* √5
= 3*8*5*a *√(7a)
= 120 [tex]a^{1/2+1}[/tex]
=120*[tex]a^{3/2}[/tex]
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Answer:
[tex]120a\sqrt{7a}[/tex]
Step-by-step explanation:
It's right on khan academy
Trigonometry is crazy
Answer:
see the attachment photo!
i hope this can help you! :)
Which of the following is the solution to 7√22 + 3√7
The value of this irrational Expression is 40.77 .
What is an Expression ?An expression is a mathematical statement consisting of variables , constants and mathematical operators.
The expression given is
7√22 +3√7
√22 = 4.69
√7 = 2.65
32.83 + 7.94
40.77
The value of this irrational Expression is 40.77 .
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Find the next number in the sequence: 2, 2, 5, 12, 62, 749, 46450,
Answer:
34791112
Step-by-step explanation:
Please check the attached for the explanation.
The next number for given sequence is 34791112.
The given sequence is 2,2,5,12,62,749,46450,......
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same.
Each number in the sequence is of the form Number3 × Number2 + Number1 = Number4
5×2+2=12
12×5+2=62
62×12+5=749
749×62+12=46450
So, the required number is
46450×749+62=34791112
Therefore, the next number for given sequence is 34791112.
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Question 1 of 10
What is the midpoint of the segment shown below?
O A. (6,3)
O B. (6,5)
O C. (3,5)
OD. (3, 3)
Answer:
[tex]\textsf{C.} \quad \left(3,\dfrac{5}{2}\right)[/tex]
Step-by-step explanation:
Midpoint between two points
[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]
Define the endpoints of the line segment:
[tex]\textsf{Let }(x_1,y_1)=(-1,2)[/tex]
[tex]\textsf{Let }(x_2,y_2)=(7,3)[/tex]
Substitute the defined endpoints into the midpoint formula and solve:
[tex]\implies \textsf{Midpoint}=\left(\dfrac{7+(-1)}{2},\dfrac{3+2}{2}\right)[/tex]
[tex]\implies \textsf{Midpoint}=\left(3,\dfrac{5}{2}\right)[/tex]
Midpoint
(-1+7/2,2+3/2(6/2,5/2)3,5/2)Compute the projection of u on v.
Answer:
[tex]\frac{3}{7}.v[/tex] option (C) is correct
Step-by-step explanation:
projection of vectors: The vector projection of one vector over another vector is the length of the shadow of the given vector over another vector.
projection of vector u on v is given by :
[tex](\frac{u.v}{v.v}).v[/tex]Given,
vector u = <5, 7, 1>
vector v = <2, -1, 3>
substituting these values in the above formula
[tex][\frac{(2,-1,3)(5,7,1)}{(2,-1,3).(2,-1,3)} ].v[/tex] = [tex]\frac{6}{14}.v= \frac{3}{7}.v[/tex]thus the correct answer is option (C)
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How can I find the three iterations of 3^(x)= 2^(-x)+4
After factorizing the given equation, we can find the three iterations by putting the consecutive values of x.
The given equation is 3∧x = 2∧(-x) + 4. We can modify it as shown below:
Take logarithm on both the sides
log(3∧x) = log[2∧(-x) + 4]
xlog3 = log[2∧(-x) + 4]
x = log[2∧(-x) + 4] / log3
For the first iteration, put x = 1
x = log[2∧(-1) + 4] / log3
x = log4.5 / log3
x = 0.477
For the second iteration, put x = 2
x = log[2∧(-2) + 4] / log3
x = log4.25 / log3
x = 0.477
For the third iteration, put x = 3
x = log[2∧(-3) + 4] / log3
x = log4.125 / log3
x = 0.477
So, this is how we can find three iterations.
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Need help with this geometry question
Answer: QN=19
Step-by-step explanation:
Diagonals of an isosceles trapezoid are congruent, so NQ=PM.
By the segment addition postulate, NQ=QR+RN=3x+7.
So,
[tex]6x-5=3x+7\\\\3x-5=7\\3x=12\\\\x=4[/tex]
So, [tex]QN=3(4)+7=\boxed{19}[/tex]
the ufugfldldd
5+9x+3gg3g3\
1 b
Pleas hurry!!!!! Which line is perpendicular to a line that has a slope of -5/6
line JK
line LM
line NO
line PQ
Answer:
LM
Step-by-step explanation:
Perpendicular slope would be - 1 / m = - 1/(-5/6) = 6/5
slope m = rise / run line LM rises 6 for a run of 5
190 divided by 2 over 3
