A steel rod of length L0=70cm at T0=70∘C expands. Find its length at T=100∘C.
Also, find its length at T=80∘C if it was 85in at T0=170∘C.
Lastly, express L as a function of T and α for L0=50 \mathrm{in} at T0=130∘C.
Find values of a for lines L1 and L2 with slopes m1=−6−6a−4 and m2=−5−4a+8 such that:
(i) L1 is parallel to L2: a=
(ii) L1 is perpendicular to L2: a=
Which coordinates for points A′ and B′ show that lines AB and A′B′ are perpendicular? 1. A′:(p,m) and B′:(z,w) 2. A′:(p,m) and B′:(z,−w) 3. A′:(p,−m) and B′:(z,w) 4. A′:(p,−m) and B′:(z,−w)
For a prime number w>2, when is w2z a negative even integer for z in which set? A. Negative integers B. Positive odd integers C. Positive even integers D. Negative odd integers E. Negative even integers
Identify the false statement: 1. All integers are rational numbers 2. Some rational numbers are whole numbers 3. All whole numbers are natural numbers 4. All irrational numbers are real numbers
Write a scientific notation number greater than 500 and less than 5.000. Who did it right? Justice: 5.25×103, Blaire: 6.1×103, Denzet: 5.78×102, Piper: 3.5×10.
Determine the transformations to show △QRS≅△TUV. Choose all correct options: A) Reflect across x, then y, then x. B) Reflect across y. C) Rotate 90∘ clockwise, then reflect across y. D) Rotate 180∘, then reflect across x. E) Translate 4 units left.
A survey asked 857 people about their pets. Identify (a) the sample, (b) the population, and (c) the statistic. What is the sample?
A. The public in the country.
B. People who didn't respond.
C. The 857 respondents.
D. The 9% with 1 pet.
Identify the subject, sample, and population for the government study on model A midsized cars. What is the subject? A. new model A cars B. midsized cars C. new midsized cars D. model A cars
Identify the subject, sample, and population for a study on model A midsized cars' emissions and mileage. (a) Subject: A. new model A midsized cars
(b) Sample: D. few new model A midsized cars chosen for study
Figure B is in Quadrant IV. After reflecting, rotating, and translating it, determine if these statements are true or false: a. B′′′ is in Quadrant II.
b. B is in Quadrant III.
c. The x-coordinates of B′′′ are all negative.
d. The y-coordinates of B′′ are all positive. Initial position and shape of B are needed.