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MATH SOLVE
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The isotope known as carbon-14 is radioactive and will decay into the stable form nitrogen-14. As long as an organism is alive, it ingests air, and the level of carbon-14 in the organism remains the same. When it dies, it no longer absorbs carbon-14 from the air, and the carbon-14 in the organism decays. The half-life of carbon-14 is 5770 years. Assume an organic sample is 14,000 years old. How many half-lives is 14,000 years?
General
4 months ago
(t-distribution) A manufacturing firm claims that the batteries used in laptop computers will last an average of 50 months. To maintain this average, 16 laptop batteries are tested. We found that the sample had a average lifespan of 47.3 months, and a standard deviation of s = 9 months. What is the probability that we find this lifespan for our sample average, or something even shorter? Assume the distribution of battery lives to be approximately normal.
General
4 months ago
Which option accurately describes a scenario in which a tortoise experiences a displacement of 10 m south? A tortoise starts at a position of 3 m south. It moves 4 m east, 2 m west, and then 3 m north. A tortoise starts at a position of 0 m. It moves 10 m west,10 m east, and then 10 m south. A tortoise starts at a position of 2 m north. It moves 4 m west and then 7 m south. A tortoise starts at a position of 0 m. It moves 10 m west, 5 m east, and then 5 m south.
General
4 months ago
Stretch 2The deepest point in the ocean is the MarianasTrench in the Pacific Ocean at about 6.9 milesbelow sea level. The highest point in the world isMount Everest in the Himalayan Mountains atabout 5.5 miles. Plot each elevation as anrational number on a number line, and useabsolute value to determine the number of milesbetween the deepest point in the ocean and thehighest point in the world.50 points
General
4 months ago
A concert venue wants to project profit from sales of souvenirs at the upcoming weekend concert. Based on past data, 65% of patrons will buy at least one souvenir. The attendance of the event is expected to be 14,600 patrons. If the venue typical earns $20 from the sale of each souvenir and the company donates 30% of its proceeds to local charities, what is its expected amount the company earns as profit?
General
4 months ago
A deli ordered 6 1/2 wheels of cheese .Over the weekend 3 5/8 wheels of cheese were sold.On Tuesday another wheels were sold.How much cheese was left for Wednesday
General
4 months ago
Please help a 15 pointsRectangle R has varying length l and width w but a constant perimeter of 4 ft.a. Express the area A as a function of l. What do you know about this function?b. For what values off and w will the area of Rbe greatest? Give an algebraicargument. Give a geometric argument.
General
4 months ago
Travis needs to mail 4 letters and 10 postcards. A letter needs a 37-cent stamp and a postcard needs a 25-cent stamp. How much money will Travis spend for postage?
General
4 months ago
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 6363 students, requires 88 chaperones, and costs $1 comma 2001,200 to rent. Each van can transport 77 students, requires 1 chaperone, and costs $8080 to rent. Since there are 567567 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 567567 students. Since only 8080 parents have volunteered to serve as chaperones, the officers must plan to use at most 8080 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs?
General
4 months ago
Graph -x^2+x+6=0 and state the consecutive integers between which roots are located
General
4 months ago
A circle is centered at the point (5, -4) and passes through the point (-3, 2).The equation of this circle is (x +__ )^2 + (y +__ )^2 = __
General
4 months ago
What is the area of a rectangle with vertices at (−4, 0) , (−3, 1) , (0, −2) , and (−1, −3) ?Enter your answer in the box. Do not round any side lengths.
General
4 months ago
Brandon and Carmen are each driving from Arches National Park to their homes. The functions graphed represent each person's distance from home, in kilometers, x hours after leaving the park.Select each correct answer. Carmen is driving at a faster rate than Brandon.The difference in the y-intercepts represents the difference between the distances of Brandon's and Carmen’s homes to Arches National Park.The difference in the x-intercepts represents the difference between Brandon's and Carmen's driving speeds.Brandon is driving at a faster rate than Carmen.
General
4 months ago
What is the median of the following data set? {6, 3, 9, 1, 7}
General
4 months ago
solve the system of linear equations. separate the x- and y- values with a coma. -x=62-18y2x=38-18y
General
4 months ago
Mrs. Gomez is a mother to 2 boys. The number of children she has is three times the number of boys she has. Her children are planning to buy her a bouquet of flowers. What is the biggest bouquet they can buy in which the ratio of pink flowers to blue flowers matches the ratio of girls to boys if the florist has 9 blue carnations and 12 pink carnations left?
General
4 months ago
The first time a census was taken in the town of Lynne, the population was 901. Each year after that, the population was about 2% higher than it was the previous year.Sketch the graph that represents the situation. Let x represent the number of years since the first census was taken.What are the coordinates of the point that contains the y-intercept?(1, 901)(901, 0)(901, 1)(0, 901)
General
4 months ago
–81, 108, –144, 192, ... Which formula can be used to describe the sequence? f(x) = –81 (4/3) X-1 f(x) = –81 (-3/4) X-1 f(x) = –81 (-4/3) X-1 f(x) = –81 (3/4) X-1
General
4 months ago
The first time a census was taken in Esinville, the population was 12,621. Each year after that, the population was about 6% higher than it was the previous year.Sketch the graph that represents the situation. Let x represent the number of years since the first census was taken.What are the coordinates of the point that contains the y-intercept? (12,621, 0)(0, 12,621)(1, 12,621)(12,621, 1)
General
4 months ago
Is ab perpendicular to cd? Explain. Yes, because the slope of ab is 5/3 and the slope of cd is -3/5. Yes, because the slope of ab is 4/3 and the slope of cd is -3/4. No, because the slope of ab is 5/3 and the slope of cd is -3/4. No, because the slope of ab is 4/3 and the slope of cd is -3/5.
General
4 months ago
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