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MATH SOLVE
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The rate (gallons per day) at which a pond loses water due to evaporation from one day after observation has started is give by w(t)=1/T2 (squared). where t is the number of days after the first day. suppose we want to find out what the trend is for the total change in gallons in the pond. (Fill in the following table)t is the number of days after the first day, and w is the number of gallons.T: 1 2 10 50 100 200 500 1000w(t): ? ? ? ? ? ? ? ?
General
4 months ago
1. Solve this nonlinear system of equations show your work.Y=-x^2+6x-5Y=3a. Use substitution to combine equations. Rewrite so that one side is equal to 0.b. Factor your equation from part a.c. Identify the x-values of the solutions.D. Identify the solution to the system.
General
4 months ago
find the perimeter of the following shape, round to the nearest tenth
General
4 months ago
1. The equation y=x^2-9x+20 models the roller coasters path over time. The variable y represents height (in feet) above or below the platform. At y=0, the roller coaster is even with the platform. The variable x represent the amount of time (in seconds) since the ride began.Part 1: write the equation in factored form.Part 2: find the vertex of the parabola. Hint: to find the x-value of the vertex, take the average of the x-values of the x-intercepts of use the first part of the quadratic Formula (x=-b) —— 2aPart 3: what is the y-intercept? Use the equation y=x^2-9x+20Part 4: Sketch the graph of y=x^2-9x+20. Identify the vertex and x- and y-intercepts on your sketch Part5: use the graph to answer the questions.A. Between what times does the roller coaster dip below the platform?B. What is the height and time at which Erin picture is taken during the roller coaster ride?C. Erin picture is taken at the lowest point of the roller coaster.35points!! To whoever help me with this.
General
4 months ago
There are 32 teams participating in a single-elimination soccer tournament, in which only the winning teams from each round progress to the nextround of the tournamentThe graph shows the number of teams, fx) that are still in the tournament after x rounds have been completedf(x)
General
4 months ago
Johnny deposited $1230 in a savings account at 2.25 percent interest. How much interest will the account earn in 10 years?$212.50$291.25$276.75$202.25Will got an insurance check of $4500 after a car accident. He deposited it into a savingsaccount at 1.7 percent interest for five years. What was the total amount of money in theaccount after five years?1. $4462.50 2. $4882.50 3. $4374.38 4. $4315.63
General
4 months ago
A surveyor, Toby, measures the distance between two landmarks and the point where he stands. He also measured the angles between the landmarks in degrees. the triangle hastwo sides(65,55)angles (40,30)What is the distance, x, between the two landmarks? Round the answer to the nearest tenth.32.5 m42.1 m85.1 m98.5 m
General
4 months ago
Elise and her dad are planning to attend the state fair. An adult ticket is $21.00. The price of an adult ticket is $10.00 more than two thirds the price of a student ticket. Write an equation to determine how much Elise will pay for a student ticket. A)two thirdsx + 21 = 10 B)two thirdsx − 21 = 10 C)two thirdsx + 10 = 21 D)two thirdsx − 10 = 21
General
4 months ago
Calculate the mass of 5000 spherical lead shots each of diameter 3mm, given that 1 cm cubed of lead weighs 11.4g.
General
4 months ago
A line passes through the given points. Write an equation for the line inpoint-slope form. Then rewrite the equation in slope-intercept form.(4, -2), (9, -8)
General
4 months ago
what is the common ratio between successive terms in the sequence? 2, -4, 8, -16,
General
4 months ago
Create a scaled copy of ABCD using a scale factor of 4
General
4 months ago
Write the number in scientific notation.8,670,000,000
General
4 months ago
A taxi is charging you $1.50 per 500 meters. If you know your destination is 7.1 miles away, how much will the taxi cost you? There are 1,609 meters in a mile. Round your answer to the nearest cent.
General
4 months ago
If the original square had a side length ofx = 2 inches, then what is the area of thesecond rectangle? Show how you arrived atyour answer.
General
4 months ago
Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality. Explain your reasoning.
General
4 months ago
the graph of a line in the xy-plane has slope of 7 and contains the point(6,28). A second line passes through the points (3,7) and (-1,-13). These lines intersect at point (x,y). What is the value of x?
General
4 months ago
Need help!! If it can be now that would be nice
General
4 months ago
A family is visiting 5 states within 10 days for vacation. There are 4 people in the family. They have the option to travel 304 miles on the first day and visit 1 national park and 2 lakes. Or they can travel 260 miles to see a water park and an amusement park that each cost all ages $5. The national park costs $25 per vehicle and the 2 lakes are free. The next 3 days, they travel 284 miles and relaxed by the pool. The family vehicle can go 300 miles on a tank of gas worth $40. The last 4 days, they spend driving the same route back home and stopping at popular sightseeing landmarks.On the first day, how much does the cheaper route cost? Round your answer to the nearest cent and do not include $ in the answer. For example, if the cost is $19.01, put 19.01.
General
4 months ago
What is the ratio of the volume of a cube with edge length six inches to the volume of a cube with edge length one foot? Express your answer as a common fraction.
General
4 months ago
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