he size of a rectangular television screen is usually described by the length of its diagonal, given (in inches) by d = /w? +h? , where the diagonal of a television screen whose width is 22 inches and height is 15 inches. he diagonal of a television screen with a width of 22 inches and a height of 15 inches is inches. tound to the nearest integer as needed.)

Q: what integer is closer to 6

A: given: the integer is six.

Q: 1. Identify the necessary condition in each of the following pairs: It has four sides. Seeing…

A: Solution is here

Q: Find the distance between C and D on the number line below. D -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1…

A: Find the distance between C and D specified on the number line.

Q: Number theory

A:

Q: If A = {r|- 23 < x < 3how many negative integers does Acontain? Note that: 'I' means 'Such that'

A:

Q: If a and b are real numbers, the commutative property of addition states that a + b =

A: If a and b are real numbers, the commutative property of addition states that a+b =    Suppose two…

Q: If n is a natural number, the number 3dn+4 – 4³n+3 is divisible by: A) 14 в 15 C 16 D 17

A: Given :n is natural number, the number 34n÷4-43n÷3

Q: For non-negative integer n and r, where 1<rsn, show that (n-r+1)"C,=n(""C,1). r-1

A:

Q: Find Ato 30 if A= 3. 2. 2

A:

Q: Express in the form a + jb, where a and b are real numbers: (а) 3 166°. (b) 6 47°. (In your final…

A:

Q: 3. Suppose that a, b and c are positive integers with 2"365c = 36000. What is the value of 3a + 4b…

A:

Q: Find a formula for the number of digits of 2n. &#160;

A:

Q: (2x-5) +(3+7h tlo):

A: we need to solve (2x-5)+(3x2+7x+10), This is a simple problem based on addition of polynomials.…

Q: If m times the nth term of an AP is equal to n times its nth term, show that the (m + n) th term of…

A:

Q: Find the value of ,where n is a positive integer

A:

Q: Find the value of x. (3x - 14) 2x + 10)° OS 04 O24 020

A: To find the value of x.

Q: A student has scores of 78, 77.25, and 81.75 on his first three tests. He needs an average of at…

A:

Q: Find the largest number ? such that if  |x − 3| < ?,  then  |5x − 15| < ?,  where  ? = 0.5.

A:

Q: Left on together, the cold and hot water faucets of a certain bathtub take 4 minutes to fill the…

A: The time required to fill the tub by   The hot and the cold faucet together         = 4 minThe hot…

Q: Given that a + bv3 = V151+ 28V3, where a and b are positive integers, calculate the value of a and…

A: To find- Value of a and b.

Q: In the diagram below, ABCD is a rectangle with side lengths AB = 3 and BC = 11, and AECF is a…

A: Properties of rectangle Opposite sides are parallel and equal. Each interior angle has measure of…

Q: Find formulas for the entries of M", where n is a positive integer. M"

A: First find the Eigen Value and Eigen vector

Q: (a) Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? is the last two digits…

A: Permutation: Permutation:  The permutation is a method of arranging objects in a specific order.…

Q: Qel Find Domiain and Rang %31 X -2

A:

Q: What is the last digit of 52021 + 62021 - 2 2021 a. 3 b. 5 c. 7 d. 9

A: Let us try to establish a pattern between the exponent and the last digit for 2, 5, and 6.

Q: Express O in each figure in terms of x. (a) = (b) 4

A: a) In the right angle triagle opposite side is x and adjacent side is 7 angle is θ.b) In the right…

Q: State whether the following numbers are rational or irrational. a) V4 + 7/2 b) V36 c) V11²510716

A: We have to find if the numbers are rational or irrational.   According to our guidelines we can…

Q: By equating the coefricients of various povers or x from the following expression +p 157 336 40 and…

A:

Q: How many liters of paint must you buy to paint the walls of a rectangular​ prism-shaped room that is…

A: Figure of the room is:

Q: Find the indicated real nth root(s) of a. n = 4, a = -81 O +3 -/3

A: This question is about nth real roots of numbers

Q: If m is a positive integer, does 6 divide (2m)(m+2)(3m+3)? True False

A: Here, the given number is: (2m)(m+2)(3m+3)=2(m(m+2))3(m+1)=6m(m+1)(m+2) because multiplication is…

Q: How many integer solutions to x1+ x2+ x3+ x4 = 36 are there for which æ1 > 5, x2 > 3, x3 > 5 and æ4…

A: We have to find the number of solutions to x1+x2+x3+x4=36 for which x1≥5, x2≥3, x3≥5 &amp; x4≥6.

Q: 2. A toy company sells 3-packs of sphere-shaped bouncy balls. If the company ships the three bouncy…

A: Finding the empty space in the given figure.

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in.…

A: Given: A box with a square base and no top is to be made from a square piece of cardboard by cutting…

Q: For which positive integers $n$ greater than or equal to 2 is $\sqrt[n]{a^{n}}=a$ always a true…

A: We need to check for all the values to get the result

Q: the total number of mushrooms gathered by 11 boys and n girls is n? + 9n - 2, with each gathering…

A:

Q: If 4D2 - 5D -6 = 0, where D is a natural number, find the value of D

A: Given the quadratic equation

Q: Find integers p and q so that 17p + 45q = 1. Show your working steps.

A: Here we have to find the integers p and q so that  17p+45q=1

Q: A pilot wants to fly on a bearing of 656. By fying due east, she fnda that a 4.7mph wind, bowng from…

A:

Q: If B: = {XERI0S X3 = [0,:] for each non-negative integer i, find the following a. B,UB.UB, UB, b.…

A:

Q: Express the number in the form a/b , wherea and b are integers.

A: Simplify: -324-2-4

Q: Assume that the area of the triangle BAE is 37 cm2, that the area of the trapezoid ABDF is 86 cm2,…

A: Consider the given diagram of the question,Given Area of the triangle BAE = 37 cm2According to the…

Q: (V3 –3) V5 +1 Without using a calculator, express in the form p/5+q,where p and q are integers.…

A:

Q: Which of the following expressions will NEVER yield an odd integer, given that a and b are positive…

A: Given expressions are:                    A. a2+b2B. (a+2)3+b2 C. (2a)3+12bD. 2a+3b2E. 4a-b4

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 2 in.…

A:

Q: Express the number in the form a/b , wherea and b are integers.

A: Consider: 20+022+0 Express in the form ab here a,b∈Z. Solve by applying BODMAS that is Bracket Order…