\(\huge\underline\mathtt\colorbox{cyan}{3/8}\)
\(\huge\mathsf\colorbox{white}{}\)
Step-by-step explanation :Total shared part:
1/4 + 1/8
Taking LCM and adding:
2/8+1/8
Adding gives:
3/8
x^2+8x+y^2+8y-112=0 center and radius
We can rewrite the equation of the circle as:
(x + 4)^2 + (y + 4)^2 = 12^2
So the center is (-4, -4) and the radius is 12 units.
How to find the center and radius of the circle?For a circle of radius R and center (a, b) the equation is:
(x - a)^2 + (y - b)^2 = R^2
Here we have the equation:
x^2 + 8x + y^2 + 8y - 112 = 0
We can complete squares to get:
(x^2 + 8x) + (y^2 + 8y) - 112 = 0
(x^2 + 2*4*x + 4^2) + (y^2 + 8y + 4^2) - 4^2 - 4^2 - 112 = 0
(x + 4)^2 + (y + 4)^2 = 112 + 16 + 16 = 144
(x + 4)^2 + (y + 4)^2 = 12^2
So we have a circle of radius of 12 units, with a center at (-4 , -4)
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A vehicle travels 140 miles in 5 hours. At this rate, how many miles will the vehicle travel in 7 hours? please help I just failed my test I made a 38%
Answer:
28 mph
Step-by-step explanation:
I dont know if this helped but if it did then your welcome? I dont know if this helped sorry TwT
Suppose that the function h is defined, for all real numbers, as follows.
h(x) = (x+1)²
{
if x ≤-2
if-2
-x-2 ifx>2
h(-2) = 0
h(-1) = 0
h (3) = 0
Find h(-2), h(-1), and h (3).
0/0
믐
X
3
please help 15 points to whoever does
In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.
what is function ?The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
given
h(x) = (x+1)²
h(-2) = 1
h(-1) = 0
h(3) = 8
In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.
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Which of the following pairs consists of equivalent fractions? 3/9 and 5/15 ,12/20 and 20/25,5/6 and 6/5,6/12 and3/4
Answer:
\(The\) \(Answer\) \(Is:\) \(\frac{3}{9}\) \(&\)& \(\frac{5}{15}\)
Step-by-step explanation:
Divide by 4 , 2nd fraction Divide by 5:
3/4 ≠ 4/5
5/6 ≠ 6/5 We can already see it.
Divide by 3. . .
2/4 ≠ 3/4
Divide by 3 , 2nd fraction Divide by 5:
1/3 = 1/3 \(Perfect!\)
The answer is, \(\frac{3}{9}\) & \(\frac{5}{15}\)
here a subtraction problem that has been solved incorrectly what is the right answer for 74-25=59 but do it in the addition sentence that check the subtraction problem
Answer:
Answer:
the equation is wrong
Step-by-step explanation:
=> 74-25=59
since 74 - 25 equals to 59 in order to find the addition sentence that will check the subtraction problem is true and 59 and 3/5 or you can add add 59 and 25 to check if the problem was solved correctly
=> 59+25
add 59 to 25
=> 84
this means the question is wrong
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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simplify the expression -1/3x-12+1/2x-2
Answer:
Step-by-step explanation:
x-84/6
the greater roadrunner bird can run 14 miles per hour that's 7 times faster than an ostrich can walk how fast does an ostrich walk Solve using skip counting
Answer:
14•7=98
Step-by-step explanation:
think its help have a good day
Taylor wants to use a scale factor of 12 to make a smaller drawing of the door image shown. Part of her work is shown. Finish her work to find the height and width of her scale drawing
the height and width of her scale drawing is respectively:
height = 1*1/2inch
width = 3/4 inch
what is dimension?Dimension are the measure of the size or distance of an object or region or space in one direction.
so, all we needs to do is multiply is dimension of the original door image by the scale factor , to get the height and width of the scale drawing.
height: 3 inch x 1/2 =3x1/2=3/2=1x1/2 inch
width: 1x 1/2 inch x 1/2 =3/2 x 1/2= 3x1/2x2=3/4 inch
hence , the height and width of the scale drawing is respectively= 1x 1/2 inch ,3/4 inch
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I need to use factorials and doing it step-by-step for the bio normal probability formula Please help me figure this A through C step-by-step they want the factorial symbol! When showing my work
Using the binomial distribution, it is found that the probabilities are given as follows:
P(X = 4) = 0.1268.P(X = 2) = 0.2835.\(P(X \leq 3) = 0.9841\)What is the binomial distribution formula?The formula is:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.Item 1:
The parameters are:
n = 15, p = 0.4, x = 4.
Hence:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 4) = C_{15,4}.(0.4)^{4}.(0.6)^{11} = 0.1228\)
Item 2:
The parameters are:
n = 12, p = 0.2, x = 2.
Hence:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 2) = C_{12,2}.(0.2)^{2}.(0.8)^{10} = 0.2835\)
Item 3:
The parameters are:
n = 20, p = 0.05.
The probability is:
\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)\)
The formula is the same used in previous exercices, hence, using a calculator.
\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9841\)
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Help!!!!!!!!!!!!!!!!
Answer:
geevehrhrirbirbrbrnrnrbrbrbrbrbblo Uruguay 7dm9 7dm9 uvo idilio icono iconorbtbrbbrbrbrbrjrjjrj4jrkkenenenrnrnnktkr
Step-by-step explanation:
higos arraigo titubear otorgó eurodiputados
Sammy wants to spend no more than $35 at the arcade. If he is playing games at the arcade that each cost $0.75, which inequality can be used to find g, the number of games that Sammy can play and stay within his goal
Answer:
0.75 g ≤ 35
Step-by-step explanation:
if each games costs $0.75, then the answer of g will be given by 35/0.75.
he can go up to exactly $35 but not over
so, the inequality is given by 0.75 g ≤ 35
The area of a rectangle with a
length of 10 cm and a width of 3
cm.
Answer:
30 cm2
Hope this helps
Answer:
30
Step-by-step explanation:
A=w*l=3·10=30
BRAINILEST PLEASE
Find the slope of every line that is parallel to
the line on the graph
The slope of the given line is
\(\frac{-1-0}{0-(-6)}=-\frac{1}{6}\)
Since all parallel lines have the same slope, the answer is -1/6
What part of an hour passes from 3:12 p.m. to 5:30 p.m.?
Answer:
2.3 hours
Step-by-step explanation:
From 3:12 pm to 4:12 pm, one hour passes.
From 4:12 pm to 5:12 pm, another hour passes.
From 5:12 pm to 5:30 pm, there are 18 minutes that pass.
Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.
To convert this to a fraction, we can write:
2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours
So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.
Which transformation results in the function?
The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,
How to describe the transformation from the parent function?From the question, we have the following functions that can be used in our computation:
f(x) = x²
g(x) = (4x)²
Mathematically, these equations can be represented as
g(x) = f(4x)
The above equations implies that, we have the transformation to be:
The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4
Hence, the transformed function is (a)
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What number should be added to −96 to get a sum of 9 ?
The number 105 should be added to - 96 to get a sum of 9.
What is 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.
Now,
Let the value of number = x
So, We can formulate;
⇒ x + (-96) = 9
Solve for x;
⇒ x - 96 = 9
Add 96 both side,
⇒ x - 96 + 96 = 9 + 96
⇒ x = 105
Thus, The number 105 should be added to - 96 to get a sum of 9.
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what is (1/2 + isqrt3/2)^5?
Answer:
\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
Step-by-step explanation:
Convert 1/2 + i√3/2 to rectangular form
\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)
Use DeMoivre's Theorem
\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
write in Egyptian numerals 412
Answer:
Step-by-step explanation:
help me plz will mark braninly if right
Si yo tengo una canasta llena de mangos y piñas, de las cuales hay 30
mangos y 20 piñas ¿Qué fruta es más probable que saque al azar de la
canasta?
Respuesta: Es más probable sacar un mango.
Explicación:
La probabilidad se refiere a la posibilidad de que un evento occura y no otro. En el caso que se describe, la probabilidad de sacar cada fruta puede ser calculada dividiendo el total de cada fruta en el número de frutas totales:
Probabilidad de sacar un mango:
\(\frac{cantidad de mangos}{cantidad de frutas en la canasta}\) = \(\frac{30}{50}\) =\(0.6\)
Probabilidad de sacar una piña:
\(\frac{cantidad de pinas}{cantidad de frutas en la canasta} = \frac{20}{50}\) \(= 0.4\)
De acuerdo a lo anterior la probabilidad de sacar un mango es de 0.6 o de 60% (multiplica la probabilidad por 100 para saber su equivalente en porcentaje), mientras que la probabilidad de sacar un mango es de 0.4 o 40% lo cual es mucho más bajo. Es decir que es más probable sacar un mango.
Use inductive reasoning to determine the next two terms in each sequence: a) 1, 3, 7, 15, 31 ....
Answer:
63,127
Step-by-step explanation:
the interval between each number is multiplied by 2
such as between 1 and 3 we have 2 so 2×2=4
the 4+3=7 and so on
Answer: 63, 127
Step-by-step explanation: 1+2=3; 3+4=7; 7+8=15; 15+16=31; 31+32=63; 63+64=127
Or, if we call the first value a1 , the sequence is given by an=2n−1
The first approach to analyzing almost any sequence is to look at the differences of successive elements. In this sequence, that’s 2, 4, 8, 16, 32. That makes the answers above pretty easy.
if someone answers dis properly imma give u brainliest
Answer:
no; 2.451904*10^3
Step-by-step explanation:
23.576*104=2451.904
to convert, move the decimal up to behind the first digit, and add tens accordingly
2451.904=2.451904*10^3
f(x)=\sqrt(32x) g(x)=\sqrt(2x) find (f x g)(x) assume x >=0
Answer:
(f * g)(x) = 8x, when x >=0
Step-by-step explanation:
I. Given f(x) = sqrt32x, g(x) = sqrt(2x)
Find (f*g) = \(\sqrt{32} * \sqrt{x} * \sqrt{2} *\sqrt{x}\) {when \(\sqrt{32x} = \sqrt{32} *\sqrt{x}\)
= \(\sqrt{32 * 2} * \sqrt{x * x}\)
= \(\sqrt{64} * x\)
(f * g) = 8x
So (f * g)(x) = 8x, when x >=0
But if your question is fog, the answer will be different.
Hope that help :)
I need help
I need help
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I need help
The sequence is decreasing as n increases and sequence converges to the value 0.
The given sequence is defined as aₙ = 1 / (7n + 3).
To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.
As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.
The sequence converges to the value 0.
The sequence is decreasing as n increases.
The sequence converges to the value 0.
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Please help me with 11. I do not know why I got it wrong
In the right triangle, there is a relation between the legs of the right angle and the hypotenuse
\(a^2+b^2=c^2\)a and b are the legs of the right angle
c is the hypotenuse
Note that the hypotenuse is the longest side in the right triangle
Since the 3 sides are 6, 12, 13, then
6 and 12 are the legs of the right angle
13 is the hypotenuse
By using the relation above
\(\begin{gathered} a=6,b=12 \\ a^2+b^2=(6)^2+(12)^2 \\ a^2+b^2=36+144 \\ a^2+b^2=180 \end{gathered}\)\(\begin{gathered} c=13 \\ c^2=169 \end{gathered}\)The values of them are not equal as the relation above
\(a^2+b^2\ne c^2\)Then 6, 12, 13 can not form sides of a right triangle
We disagree
Because the sum of the squares of the smaller sides is not equal to the square of the longest side.
Please help with this math question!
Answer:
\(2000 {(1 + \frac{.07}{12}) }^{5 \times 12} = 2835.25\)
Hurry plz what is the following prouduct?
Answer:
2nd one
Step-by-step explanation:
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
Answer:
A
Step-by-step explanation:
the quotient of 8 and the sum of a number w and 10
Step-by-step explanation:
8 ÷ (w+10)
when you are quotient think divide.
4(4 - x) - 8(-2 + 4x)
If you want the answer simplified, its
-36x + 32