The length of a rectangle is 24 feet more than the width. The perimeter of the rectangle is 88 feet. What is the length and width of this rectangle?

Q: Write the standard form of the equation of the line through the given points. 1) through: (2, 5) and…

A: An equation of a line passing through points (x1,y1) and (x2,y2) is given as follows -  (y-y1) =…

Q: Find an explicit solution. (Hint: Let u = x – y) dy = (x- y) dx y(0) = 0 Use the following methods…

A: Relative error:- The relative error (Er ) of a number is the absolute error divided by the true…

Q: If a statement is true for all nonzero three-dimensional vectors a, b, and c, write "TRUE" on the…

A: TRUE statement is    The cross product is anti-commutative        TRUE statement is

Q: A television sports commentator wants to estimate the proportion of citizens who "follow…

A: A football profession is follows by the citizens. The significance in the both cases is 2%.

Q: 3. Find the area of region enclosed by the Astroid (Graph in your calculator first to see how the…

A: The given problem is to find the area if region enclosed by the astroid graph with x=2cos3(t) and…

Q: R, S, and T are relations defined on A {0, 1, 2, 3}. Let S = {(0, 0), (0, 3), (1, 0), (1, 2), (2,…

A:

Q: Complete the table below. Express your answers in terms of T. Item Diameter, d (cm) Radius, r (cm)…

A: Let's find.

Q: Suppose a geyser has a mean time between eruptions of 61 minutes. If the interval of time between…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: (d) One consequence of the popularity of the Internet is that it is thought to reduce television…

A: From the given information, the sample size (n) is 35. The value of standard deviation is, Thus,…

Q: Solve number 3

A: The rules of inference is written in respective lines that has been used in the proof.

Q: 3. Let n = 4 (we choose 4 for calculation simplicity, but the following are true for arbitrary n).…

A: Given:  For  n∈ℕ, S:ℝn2→ℝ  be a linear transformation such that SIn=n and SAB=SBA  for all n×n…

Q: and write probabilities using 4 decimal places where possible. If the event has no outcomes type…

A: Data given S=sample space={3,6,9,12,15,18,21,24,27,30} A={6,12,18,24,30} Find (j) A'=?

Q: Steel rods are manufactured with a mean length of 23 centimeter (cm). Because of variability in the…

A: Mean = 23 Standard deviation = 0.06

Q: How many integers in {1, 2,..., 100} are not divisible by 7 or 5? (Give the exact number)

A: Find the number of integers in 1,2,...,100 which are not divisible by 7 or 5.

Q: (2 pts) 7. What value ofk will make lim f(x) exist? What is the limit? VI+5. ifx 3

A: given: f(x)=x+53,      if x<3kx2-4x,    if x>3 limx→3f(x) exists.

Q: The average GPA of a high school is 2.86. Suppose that the population is normally distributed with a…

A: 4. The provided information is x¯=2.86σ=0.7n=8α=0.01 The null and alternative hypothesis…

Q: Your Turn The graph of a reciprocal function of the form y = = 1 where a f(x) ax + b' and b are…

A:

Q: A signal can be formed by running different colored flags up a pole, one above the other. Find the…

A: 3 white flags 2 red flags 1 blue flag

Q: Let A be a 3 x 3 matrix so that: (i) Ax = 0 has exactly two basic solutions. %3D (ii) A – 31 has…

A:

Q: The graph to the right is the uniform probability density function for a friend who is x minutes…

A: Given Information: The graph represents the probability density function for a friend who is x…

Q: Social Networking Sites A recent survey of 10 social networking sites has a mean of 12.67 million…

A:

Q: 3. Two years ago, 78% of people that owned a cell phone used the texting feature. A cell phone…

A: For the given data Perform z test for one proportion

Q: 4x in the interval 0,10]. [0,1]. Find the absolute extrema of f(x) = x² + 1 4x [o,10]

A:

Q: Find all complex numbers z so that z6 = 218 Express your solutions in the form a + bi, evaluating…

A: Given: z6=218 We have z6=236z=23 Let z=rcosθ+isinθ. Then, z to the power 6 gives…

Q: Prove the following version of Darboux's Theorem: let f be differentiable in (a, b). Suppose that…

A:

Q: How to solve?

A: Given:{16, 18, 20, 22} ____ {15, 16, 17, 18, 19}Let the two set be A and B respectively.A = {16, 18,…

Q: Use the currency exchange rates in the table for the following question. Dollars per Foreign per…

A: Solution :-

Q: Find the volume of the figure below to the nearest tenth of a cubic inch. It shows a cylindrical…

A: Volume of hollow cylinder

Q: A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size…

A: Find z-critical value:…

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.