It is 18 because it is a square so all the sides have to be the same so that would make it 18
Find the number of all the 2-digit numbers satisfying the
following congruences x = 3(mod7), x = 2(mod5).
OLEASE HELP
Use the Chinese remainder theorem.
Start with x = 3×5 + 2×7 = 15 + 14 = 29. Now,
• 29 ≡ 15 ≡ 1 (mod7)
• 29 ≡ 14 ≡ 4 (mod5)
Adjust for this by multiplying the first term in x by 3, and the second term by 3 (because 4×3 ≡ 12 ≡ 2 (mod5)).
So now x = 3×5×3 + 2×7×3 = 45 + 42 = 87, and
• 87 ≡ 45 ≡ 3 (mod7)
• 87 ≡ 42 ≡ 2 (mod5)
The CRT then says that x ≡ 87 (mod(7×5)) ≡ 87 (mod35), which is to say any number x = 87 + 35n satisfies both congruences (where n is any integer).
So there are 3 possible 2-digit numbers that work: {17, 52, 87}.
To confirm:
• 17 ≡ 15 + 2 ≡ 2 (mod5) and 17 ≡ 14 + 3 ≡ 3 (mod7)
• 52 ≡ 50 + 2 ≡ 2 (mod5) and 52 ≡ 49 + 3 ≡ 3 (mod7)
• 87 ≡ 85 + 2 ≡ 2 (mod5) and 87 ≡ 84 + 3 ≡ 3 (mod7)
Translate the sentence into an equation.
Three more than the quotient of a number and 6 is equal to 5.
Use the variable b for the unknown number.
Answer:
3 + b/6 = 5
solve it too?
b/6 = 2
b = 12
Answer:
is it like
3x+6=5
to solve this
3x+6=5
collect like terms
3x= -6+5
3x= -1
divide both side by 3
3x/3=-1/3
x= -0.3
Can someone help me out with this
We know
[tex]\boxed{\Large{\sf Circumference=\pi d}}[/tex]
[tex]\\ \Large\sf\longmapsto Circumference=\dfrac{22}{7}\times 23.4[/tex]
[tex]\\ \Large\sf\longmapsto Circumference=\dfrac{514.8}{7}[/tex]
[tex]\\ \Large\sf\longmapsto Circumference=73.5in[/tex]
I need help with this one pls!
Hi there!
[tex]\large\boxed{b = \frac{a}{ac - 1}}[/tex]
We can begin by making each fraction have a common denominator:
If we make each have a common denominator of ab, we get:
[tex]\frac{b}{ab} + \frac{a}{ab} = c[/tex]
Simplify:
[tex]\frac{a + b}{ab} = c[/tex]
Multiply both sides by ab:
[tex]a + b = cab[/tex]
Move b to the opposite side:
[tex]a = cab - b[/tex]
Factor out b:
[tex]a = b(ac - 1)[/tex]
Divide by (ac - 1):
[tex]\frac{a}{ac - 1} = b[/tex]
G.C.D of 55 and 121 is are
Answer:
= 11
Find the Greates Common Deviser :
55 = 5, 11, 55.121 = 11, 121.What is the slope of the line?
Answer:
A number that describes both the direction and the steepness of the line is known as slope of the line .
How do you find the volume of this pyramid with what is given? pls
Answer:
373.3333... in^3
Step-by-step explanation:
V = lwh / 3
V = 10 * 8 * 14 / 3
V = 1120 / 3
V = 373.3333... in^3
I'm probably wrong, I haven't done volume in a looong time.
please help, i will give brainliest!
Answer:
yes please, ask the question
PLEASEEE HELP What is the solution to the equation represented by the model below?
XX
Х
X
X
X
O x=-14
O x=-2
X= 2
OX= 14
Answer:
C) x=2
[tex]3x+8=4x+6[/tex]
[tex]8-6=4x-3x[/tex]
[tex]x=2[/tex]
~OAmalOHopeO
3x + 8 = 4x + 6
3x - 4x = 6 - 8
-x = -2
x = 2
Find the distance between the two points.
(5,5)
(2.2)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
Answer:
[tex]{18}[/tex]
Step-by-step explanation:
[tex] \sqrt{(2 - 5) {}^{2} + ( 2 - 5) {}^{2} } [/tex]
[tex] = \sqrt{( - 3) {}^{2} + ( - 3) {}^{2} } [/tex]
[tex] = \sqrt{9 + 9} [/tex]
[tex] = \sqrt{18}[/tex]
Answered by GAUTHMATH
please help! I will give brainliest to the right answer
Answer:
75.36 is the answer.
Step-by-step explanation:
trust me bro.
Answer:
75.39822
Step-by-step explanation:
2πrh+2πr2=2·π·2·4+2·π·22≈75.39822
It said don't round your answer...
I miss the equation, point D.
Instructions: Given the figure, what is the angle of rotational symmetry?
Rotation:
The order of rotational symmetry is the number of times the shape maps onto itself during a rotation of 360°, for example:
a rectangle has order of rotational symmetry of 2; 180° and 360° rotations will map it onto itself.for a regular hexagon has order of rotational symmetry of 6for a regular square has order of rotational symmetry of 4 XxShazadixX.what is the value of x in a decagon
Answer:
x = 54
y = 144
Step-by-step explanation:
y = (10-2)×180/10 = 144
x = 180-90-(180-144) = 54
Answered by GAUTHMATH
Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer.
In this question, we want to find the average rate of change of a function over an interval, it represents by how much f(x) changes when x changes by 1.
Average rate of change:
The average rate of change of a function over an interval [a,b] is given by:
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
In this question:
[tex]f(x) = 2x^3 + 4[/tex]
Between x = 4 and x = 6, so [tex]a = 4, b = 6[/tex]. Then
[tex]f(a) = f(4) = 2*4^3 + 4 = 132[/tex]
[tex]f(b) = f(6) = 2*6^3 + 4 = 436[/tex]
Then
[tex]A = \frac{436 - 132}{6 - 4} = 152[/tex]
Thus, the average rate of change of the function is of 152, that is, when x changes by 1, y changes by 152.
For another problem involving an average rate of change, you can check https://brainly.com/question/14481908
The sets A and L are given below.
A = (a, b, e}
L={c, k,j}
Find the intersection of A and L.
Find the union of A and L.
Write your answer using notation (in roster form)
Help plzzz
Step-by-step explanation:
A n L =null
A U L= a,b,c,e,k,j
The graph represents a functional relationship.
Which value is an input of the function?
Iy
8
0-14
6
0-2
4
.
0 0
2
4
2
4
8 10 12 14 16 18
Х
-2
-6
-B
-10
-12
-14
By analyzing the graph we conclude that the value that is an input is x = 4.
Which value is an input of the function?
For the inputs, we need to look at the horizontal axis. In the graph we can see a closed dot at x > 0 (we can't see the exact value).
This means that the minimum of the domain is positive.
From that, we conclude that the only correct option, that we can be sure that belongs to the domain (set of the inputs), is x = 4, the third option.
If you want to learn about domains:
https://brainly.com/question/1770447
#SPJ5
Instructions: Find the measure of the indicated angle to the nearest
degree.
50
?
17
Answer:
x = 19
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan ? = 17/50
Taking the inverse tan of each side
tan ^-1 (tan ?)) = tan^-1 (17/50)
? =18.77803
To the nearest degree
x = 19
Which complex number is represented by the point graphed on the complex plane below?
On a coordinate plane, a point is graphed at (3, negative 4).
–4 + 3i
3 + 4i
3 – 4i
4 + 3i
Answer:
3-4i because it is negative in a graph
Answer:
C.) 3-4i
Step-by-step explanation:
because it is negative in a graph
A cage holds two litter of rats. One litter comprises one female and five males. The other litter comprises seven females and two males. A random selection of two rats is done. Find the probability that the two rats are from the same litter.
Answer:
The probability that the two rats are from the first litter is 14.28%, and the probability that the two rats are from the second litter is 34.28%.
Step-by-step explanation:
Since a cage holds two litter of rats, and one litter comprises one female and five males, while the other litter comprises seven females and two males, and a random selection of two rats is done, to find the probability that the two rats are from the same litter the following calculation must be performed:
6/15 x 5/14 = 0.1428
9/15 x 8/14 = 0.3428
Therefore, the probability that the two rats are from the first litter is 14.28%, and the probability that the two rats are from the second litter is 34.28%.
The freezing point of oxygen is –218.790C and hydrogen is –252.80C. A lab is lowering the temperature inside a fridge. Which freezes first? How much colder does it have to be for both to freeze?
Answer:
Oxygen; 34.01°C
Step-by-step explanation:
The oxygen freezes first as it has a higher (warmer) freezing point. For both to freeze, the temperature must drop a further 34.01°C as:
-218.79 - (-252.8)
= 252.8 - 218.79
= 34.01
Solve for 2. Round to the nearest tenth, if necessary.
135°
X
78
BO
Submit
answer
Answer: 2 =
Submit Answer
PLS HELP I really need to get this done
Answer:
x = 63.9
Step-by-step explanation:
Since this is a right triangle, we can us trig functions
cos theta = adj/ hypotenuse
cos 35 = x/78
78 cos 35 =x
x=63.89385
Rounding to the nearest tenth
x = 63.9
Not sure how to do this! I’m supposed to find the area of each shape, but the slits in the shapes are confusing me and I’m not too sure how to do these problems!
sorry i don't know answe're of this question
help someone!! which one is it?
Answer:
not great with math but I'm sure it's the second circle
Find Tan(ß) in the triangle
Answer:
the answer is
tan (B)=p/b
=5/12
Answer: C)5/12
Step-by-step explanation:
The tangent is equal to the ratio of the opposite cathet to the adjacent one.Then [tex]\bf tg \beta = \dfrac{5}{12}[/tex]Solve the following, where 0° < θ < 360°.
If cos θ=2/3 and tan θ<0
Find θ.
Answer:
The angle θ = 312°.
Step-by-step explanation:
0° < θ < 360°
If cos θ = 2/3 and tan θ < 0
As cos θ is positive and tan θ is negative so the angle is in fourth quadrant.
cos θ = 2/3
θ = 312°
Nigel makes the claim that x=6 is the solution to the equation 4(5x−12)−7x=5x. His work to support his claim follows. Given: 4(5x−12)−7x=5x Step 1: 20x−48−7x=5x Step 2: 20x−7x−48=5x Step 3: 13x−48=5x Step 4: 13x−13x−48=5x−13x Step 5: 0−48=−8x Step 6: 6=x Which of the following justifications can be used to justify and support Nigel's work? Select all justifications that are correct.
Step 1 is justified by the Distributive Property. , Step 1 is justified by the Distributive Property. , ,
Step 4 is justified by the Symmetric Property. , Step 4 is justified by the Symmetric Property. , ,
Step 5 is justified by the Property of Additive Inverses. , Step 5 is justified by the Property of Additive Inverses. , ,
Step 2 is justified by the Commutative Property. , Step 2 is justified by the Commutative Property. , ,
Step 6 is justified by the Associative Property.
Answer:
Step 1 is justified by the Distributive Property.
Step 4 is justified by the Symmetric Property
Step-by-step explanation:
Given the equation solved by Nigel expressed as
4(5x−12)−7x=5x.
First, we need to expand the bracket using the distributive property
4(5x−12)−7x=5x.
4(5x)-4(12) -7x = 5x
20x - 48 - 7x = 5x
Hence Step 1 is justified by the Distributive Property.
Next is to collect the like terms;
20x - 7x - 48 = 5x
Take the difference
13x - 48 = 5x
Next is to subtract 13x from both sides according to the symmetric property
13x - 48 - 13x = 5x - 13x
Hence Step 4 is justified by the Symmetric Property
The resulting equation will be
0-48 = -8x
Divide both sides by -8
-48/-8 = -8x/-8
6 = x
Hence the correct justifications are Step 1 is justified by the Distributive Property AND Step 4 is justified by the Symmetric Property
please help asap!!! this is almost due!!!
Answer:
i'm pretty sure the answer is option C. (x^2 + 9x) = 6^2
Step-by-step explanation:
i'm not 100% sure, but i hope this helps.
8 lb. 9 oz.
X 15 _______
Step-by-step explanation:
where is the steps to this question you can't answer it without a question too it SMH
Find all solution(s) of the quadratic equation x2 – 100 = 0. Question 9 options: A) x = 10, –10 B) x = –10 C) x = 10 D) x = 100, –100
Answer:
x = - 10, x = 10
Step-by-step explanation:
Given
x² - 100 = 0 ( add 100 to both sides )
x² = 100 ( take the square root of both sides )
x = ± [tex]\sqrt{100}[/tex] = ± 10
solutions are x = - 10, x = 10