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What is the perimeter of the trapezoid 30 POINTS
General
3 months ago
There was a sample of 700 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 3.1% each year. Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams.Write an exponential function showing the relationship betweenand y and t.
General
3 months ago
Which expression is equivalent to sqrt 10 / 4 sqrt 8
General
3 months ago
Explain the relationship between the volumes of a square pyramid and a rectangular prism if they each have a square bass with side length of 5 inches and they each have a height oh h inches.
General
3 months ago
A spinner is numbered from 1 through 10 with each number equally likely to occur. What is the probability of obtaining a number less than 3 or greater than 8 in a single spin?
General
3 months ago
solve using any method -x^2+x+12=0
General
3 months ago
A recipe asks that the following three ingredients be mixed together as follows: add 1/2 of a teaspoon of baking soda, and every 1/4 of a teaspoon of salt. Which of the following rates is a unit rate equivalent to the ratios shown above?A. 1 teaspoon of baking soda per 2 teaspoons of saltB. 1/2 teaspoon of salt per 1 teaspoon of baking sodaC. 2 teaspoons of salt per 1 teaspoon of baking sodaD. 2 teaspoons of salt per 1 cup of flour
General
3 months ago
The equations that must be solved for maximum or minimum values of a differentiable function w=f(x,y,z) subject to two constraints g(x,y,z)=0 and h(x,y,z)=0, where g and h are also differentiable, are gradientf=lambdagradientg+mugradienth, g(x,y,z)=0, and h(x,y,z)=0, where lambda and mu (the Lagrange multipliers) are real numbers. Use this result to find the maximum and minimum values of f(x,y,z)=xsquared+ysquared+zsquared on the intersection between the cone zsquared=4xsquared+4ysquared and the plane 2x+4z=2.
General
3 months ago
The volume of oil in four different containers is shown below:Container A: 5.35 millilitersContainer B: 5.25 millilitersContainer C: 5.29 millilitersContainer D: 5.32 millilitersSandy has a measuring cup that can measure to the nearest tenth of a milliliter. If Sandy measures the oil in each container, the greatest amount of oil would measure ____ milliliters.
General
3 months ago
Full question in the attached below. HELP QUICK . Ms.Call is renting a truck for a day. The two choices she has are Company A and Company B. Company A charges $35 per day plus $0.45 per mileCompany B charges $60 per day plus $0.25 per mile. What is the minimum number of miles that Ms.Call would need to drive in order to make renting from Company B a better deal.
General
3 months ago
The sum of two numbers is 30. Their product is 176. What are the two numbers.
General
3 months ago
A paleotndologist finds a bone that might be a sauropod’s bone. In the laboratory, she finds that the Carbon-14 found in the bone is 1/10 of that found in a living bone tissue. Could this bone have belonged to a sauropod? Explain your reasoning. (Hint: The sauropods lived from 200 million years ago to 145 million years ago. The constant for Carbon-14 is 0.00012.)a.) No, because the amount of Carbon-14 found indicates a period before the sauropods even came into existence.b.) No, because the amount of Carbon-14 found indicates a period after the sauropods became extinct.c.) Yes, because the number of years calculated is in the range of 200 million years and 145 million years ago.d.) Yes, because the amount of Carbon-14 found in the bone is one-tenth of that found in a living bone tissue.
General
3 months ago
The cost of 3 bananas at the market is $1. What is the cost of each banana, represented in decimal expansion?
General
3 months ago
A marine biologist is checking on the health on a sea coral reef. She begins 3 feet above the surface, then dives down 12 feet. She decides to investigate a manta ray and dives another 17 feet. Next, she notices a reef shark and swims up 22 feet. She spots a sea star patch and dives down another 13 feet to reach it. At what depth is she now swimming?
General
3 months ago
due by tomorrow and i have no idea how to do it
General
3 months ago
During the first seconds after takeoff, a rocket traveled 208 kilometers in 50 minutes at alconstant rate. Suppose a penny is dropped from a skyscraper and could travel 153 kilometersin 5 hour at a constant rate. Which of these objects has a faster unit rate per hour? How muchfaster?
General
3 months ago
My NO Suppose you obtain a 25-year mortgage loan of $198,000 at an annual Interest rate of 7.8%. The annual property tax bill is $974 and the annual fire insurance premium is $493. Find the total monthly payment for the mortgage, property tax, and fire insurance. (Round your answer to the nearest cent.)
General
3 months ago
Combine the radicals 5sqrt27-17sqrt3
General
3 months ago
Carmen lives in Maine and pays 5% in sales tax. She just bought $70 ingroceries, but $25 worth of those groceries were not taxable. What is the totalamount that Carmen paid for the groceries, including sales tax?O A. $72.25O B. $73.50O c. $70.35O D. $70.23
General
3 months ago
How much would $500 invested at 9% interest compounded annually beworth after 4 years? Round your answer to the nearest cent.Alp) = P(1+5
General
3 months ago
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