2 is to 5 as 16 is to ?

Q: 14. If- = 5%, then ба %3D 56 (A)6% (B) 25% (C) 30% (D) -%

A: Given; if a/b=5% then find 6a/5b.

Q: If m 21 = 40°, find m 2. %3D 3. O 140° О 60° O 40° О.50°

A:

Q: Decide whether the following statement is true or false.

A:

Q: 3 is to 12 is to 24 81:27:45 9 is to 12 is to 36

A: We have to find simplidied Ratiofor the given expression.

Q: What is(are) the value of a if -3 = 0 の+1 I = 1 det

A: For abcdDeterminant=ad-bc

Q: =11 then AC=?

A: We have DE = 11 , we have to find AC=?

Q: C A If CA = 5x + 5 and EA = 10x - 20, find CE. %3D O 60 O30 O 10 10

A: To find the CE

Q: Question 4 A sedan gets 12 highway. If a drive did he drive?

A: Driver travelled total of 420 miles and he used total of 26 gallons of fuel.On highway sedan will…

Q: Which statement is true?

A:

Q: 23. In order for c || d, 22 and 27 must be ? and 23 and 25 must be? a C d 4. 7. 3.

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

Q: Is Statement (1) below True or False and WHY? TEA=B is equivalent to "TEA IFF TE B"

A: Let us provide justification and check whether both equations are equivalent or not

Q: For how many ne {1,2, ..., 570} is n a multiple of one or more of 8, 9, or 5? 215

A:

Q: If it was 3 A = [ ²³₁ 4 So [20 0 8 A² = 11₁3 - A 51 41 A² = [¹64] - B 9 -C 20 A² = [13 A² = [16 9 5]…

A: To find the square of the given matrix.

Q: For how many ne {1,2,., 490} is n a multiple of one or more of 9, 8, or 7? ...

A:

Q: Which compound statement is TRUE? O A triangle has 1 side and 3-2=1 O 223 and a triangle has 1 side…

A:

Q: If C + di 7 + 4 i 2+ i find √2c-di C, DER

A:

Q: O 2.8 O 2.5 V8 to the nearest tenth is about O 2.2

A: We will use followind identites to answer the given question ab=a×b4  = 2 2 =1.414

Q: represented as: Q- 20-P/3 O 50-1.5P O 50-1.5P if P> 20; 10-0.5P if P 20; 50-1.5P if P<20 Question 15

A:

Q: If 0≤θ<2π and 4cos^2θ+3=7, determine the values of θ.

A: GIven that 4 cos2 θ + 3 = 7, where θ varies 0 ≤ θ &lt; 2π We have to determine the value of θ by…

Q: Suppose that S = { x | x ∈ N , and 9 ≤ x ≤ 270 }  What is | S | ?

A: We are given that S = { x | x ∈ N , and 9 ≤ x ≤ 270}. Now, we need to find the cardinality of the…

Q: Which of the numbers x, y, z, or w must equal 0 if AUB = U? The number must equal zero if AUB = U.

A:

Q: Suppose that Pr[A|B]=4/7, Pr[B|A]=8/13, and Pr[A′]=8/21. Find Pr[A∩B′].

A: To calculate the required probability (using the data on conditional probability)

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: In(a³b') (c) In(bc) - 3 1 а (d) (In…

A:

Q: If flxd=l 3 365 is the Maclanin Senies fer fl) What is fro 6)?

A: Given f(x) = 1 - x/3 +x^2/6 -x^3/4 +x^4/12 - ...........

Q: Dees (fog)-qu? Does Decs (fog)=gotx)

A:

Q: 1. If å.b = å.c, can we say that b = č? justify your answer. %3D

A:

Q: Put I, in equ (1) 80 = 61 + 6( 1² + 1) 12 3 -- I = 7amp.

A:

Q: 8. If APQR ~ ATSR, find SR. 2х - 1 60 P. R 4х - 26 38

A: The ratio of all the corresponding sides in similar triangles is consistent.

Q: If p(E) equals 4/9, find o(E) and o

A: Given that, P(E)=4/9.   Here, total number of cases is 9. favorable cases for E is 4 and unfavorable…

Q: d which one is contradiction ->

A:

Q: MR=5(a+9) and MP=13a+42

A:

Q: Suppose that Pr[A]=8/13, Pr[A|B]=5/7, and Pr[B|A]=5/8. Find Pr[A′|B′]

A:

Q: According to the Figure 2, if P = 60 N and Q = 75 N, then R should be (in N

A:

Q: If = 72, which equation is true? O n = 72 ÷ 9 %3D O n= 72 x 9 O n= 9÷ 72 O n= 72 +9

A: Given that n/9=72

Q: Suppose that JA|=29, |B|=20, and |A n BỊ = 10. What is |A U B|? Your Answer:

A: # We are entitled to solve 1 question , please resubmit the other question if you wish to get it…

Q: (3) if y=(65(4+) 2= Sim(r+s find oW 72 whern al,S=-.

A:

Q: I would like a proof to this statement. “Suppose r divides s and s divides t. Then r divides t.”

A:

Q: 2. If RS = 10 and RU = 9, find QS. R U

A:

Q: +3 simpley then wrte as mealth

A:

Q: If In a = 2, In b = 3, and In c 5, evaluate the following: a4 (a) In (b) In Va'b'c :

A: Given that  lna=2,lnb=3 and lnc=5 To find the following logarithmic functions

Q: Which of the following statements are correct if yi =2xi ∀i = 1, 2, ....., n? A. y = 2x B. y = 4x…

A: we have to find the right function

Q: If nana"--) 2anx" = 0, then az = n=1 n=0 (A) ao (B) ao (C) ao (D) ao (E) ao

A:

Q: If N{A} 7 and N{B) 7 and N(A U B) = 7, how are A and B related?

A: Given:NA=7NB=7NAUB=7NA∩B=?Formula:NA∪B=NA+NB-NA∩B

Q: Given the values: n= 20, xbar= 5, O y_hat = 3 + 2.4x O y_hat = 52 + 25x O y = Bo + B1x+ ɛ O y_hat =…

A: SSxy = 24 SSxx = 10 SSyy = 52 n = 20 xbar = 5 ybar = 15

Q: Say we are given that the statement p^ (p → q) is true. Can we deduce the statement q?

A: By using rules of inference on the given statement we deduce the conclusion q.

Q: d you will put 10 signs to his legs. How many different ways dition, you can put no signs to a leg,…

A: Given :  An octopus has 8 legs, and you will put 10 signs to his legs. n = 10, r = 8

Q: ide is adjacent to O? A

A: We are asked to find the adjacent sides of the triangle.

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.