To find the total number of people surveyed in 6 days with numbers tripling each day starting with 750, we calculate the number for each day and sum them up, giving a total of 273000 people surveyed.
To calculate the total number of people surveyed in 6 days if 750 people were covered on the first day and the number tripled every subsequent day. We will use an exponential growth formula to find the answer.
On Day 1: 750 people.
On Day 2: 750 × 3 = 2250 people.
On Day 3: 2250 × 3 = 6750 people.
On Day 4: 6750 × 3 = 20250 people.
On Day 5: 20250 × 3 = 60750 people.
On Day 6: 60750 × 3 = 182250 people.
To find the total number of people surveyed over the 6 days, we add up the total number of people surveyed each day:
750 + 2250 + 6750 + 20250 + 60750 + 182250 = 273000 people.
Therefore, the correct answer is C. 273000.
Eric and his work crew have 50 trees o plant. In 8 hours today, they planted 40 trees. If the work at the same rate tomorrow, how long will it take to finish planting the trees?
Write a decimal number that, then round to the nearest tenth, is 0.3.
If the length of the rectangle is twice the width and the perimeter of the rectangle is 30 cm find its area
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Which word sentence represents the equation?
6(x + 3) = 42
A)The sum of 3 and six times some number is 42.
B)Three plus 3 times some number is 42.
C)Six times some number plus 3 is 42.
D)Six times the sum of a number and 3 is 42.
What is the solution set for 3x + 2 = 14, given the replacement set {1, 2, 3, 4} ?
A)x = 1B)x = 2C)x = 3D)x = 4A shop has a sale that offers 20% off all price. On the final day they reduce all the sale prices by 25%. Linz buys a radio on the final day. Work out the overall percentage reduction on he price of the radio.
To calculate the overall percentage reduction on the price of the radio, we need to calculate the final price after both discounts. The first discount of 20% off reduces the price by 20/100 = 0.2. The second discount of 25% off reduces the price by 25/100 = 0.25. The overall percentage reduction is 40%.
Explanation:To find the overall percentage reduction on the price of the radio, we need to calculate the final price after both discounts. The first discount of 20% off reduces the price by 20/100 = 0.2. So, the price after the first discount is 1 - 0.2 = 0.8 times the original price. The second discount of 25% off reduces the price by 25/100 = 0.25. So, the final price after both discounts is 0.8 * (1 - 0.25) = 0.8 * 0.75 = 0.6 times the original price.
To calculate the overall percentage reduction, we can subtract the final price from the original price, divide by the original price, and multiply by 100. The overall percentage reduction is ((1 - 0.6) / 1) * 100 = 40%.
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A jet travels 510 miles in 2 hours. At this rate, how far could the jet fly in 15 hours? What is the rate of the speed of the jet?
Evaluate the function f(x)=−4x−3 f(x)=−4x−3 for x=−6x=−6.
A baker wants to put 3 3/4 pounds of apples in each pie sge makes. She purchased 52 1/2 pounds of apples. How many pies can she make?
divide 52 1/2 pounds by 3 3/4 pounds
52 1/2 / 3 3/4 = 14
she can make 14 pies
What’s the reciprocal of 7/2a
2a/7
-2a/7
7/2a
-7/2a
round 999.999 to the nearest tenth
An air cargo plane can transport as many as 15 regular shipping containers. One supersize container takes up the space of 3 regular containers.
List an example of two events that are independent. (b) list an example of two events that are dependent. (a) list an example of two events that are independent. choose the correct answer below.
a. a father having hazel eyes and a daughter having hazel eyes
b. selecting a queen from a standard deck, not replacing it, and then selecting a queen from the deck
c. rolling a die twice
d. not putting money in a parking meter and getting a parking ticket (b) list an example of two events that are dependent. choose the correct answer below.
a. tossing a coin and getting a head, and then rolling a six-sided die and obtaining a 6
b. selecting a ball numbered 1 through 12 from a bin, replacing it, and then selecting a second numbered ball from the bin
c. rolling a die twice
d. drawing one card from a standard deck, not replacing it, and then selecting another card
When two events are dependent, this means that one event cannot occur without the other, or simply put the two events are connected to each other in one way or the other.
When two events are independent, this means that the two events can occur separately, with one event having no effect on the occurrence of the other.
Therefore the dependent and independent events are as follows:
Independent event:
c. rolling a die twice
The outcome of the first die does not affect the outcome of the second die, hence independent.
Dependent event:
d. drawing one card from a standard deck, not replacing it, and then selecting another card
By the act of not replacing the drawn card, we are changing the probability of selecting another card, hence dependent.
vertical angles are opposite angles with the same vertex
true or false
How to solve the second equation
How do you verify that a hexagon formed by A=(0,0), B=(2,1), C=(3,3), D=(2,5), E=(0,4) and F=(-1,2) is equiangular? (I already know that it is equilateral)
To verify that the hexagon is equiangular, calculate the slopes and angles of all sides using the coordinates of the vertices.
Explanation:To verify that a hexagon is equiangular, we need to show that all interior angles of the hexagon are congruent. We can calculate the angles using the coordinates of the vertices A, B, C, D, E, and F.
Calculate the slope of each side of the hexagon. For example, for side AB with points A(0,0) and B(2,1), the slope is (1-0)/(2-0) = 1/2.Use the slope to find the angle using the formula arctan(slope). For side AB, the angle is arctan(1/2) = 26.57 degrees.Repeat steps 1 and 2 for all sides of the hexagon.If all six angles are equal, then the hexagon is equiangular.Learn more about Equiangular Hexagon here:https://brainly.com/question/31803879
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Reuben drove 576 miles in 8 hours.
At the same rate, how long would it take him to drive 936 miles?
Reuben's driving rate is 72 miles per hour. At this same rate, it would take him 13 hours to drive 936 miles.
To determine how long it would take Reuben to drive 936 miles at the same rate, we first need to find his driving rate. Reuben drove 576 miles in 8 hours. To find his rate, we divide the distance by the time:
Rate = Distance / Time
Rate = 576 miles / 8 hours = 72 miles/hour
Next, we use this rate to find out how long it will take him to drive 936 miles:
Time = Distance / Rate
Time = 936 miles / 72 miles/hour = 13 hours
Thus, it would take Reuben 13 hours to drive 936 miles at the same rate.
Convert 7 4/7 to a mixed decimal and rounded to the nearest thousandth.
A city has 7204 recycle bins. The city gives half of the recycle bins to it's citizens. The rest of the recycle bins are divided into 23 equal groups for city parks. How many recycle bins are left over?
Each digit in the division example has been replaced with the same letter throughout (r stands for remainder) the digits used were 1, 2, 3, 4, 5, 7, and 9 find the numbers clue u is 5
This is a cryptarithm problem where every unique letter represents a unique digit. Given that 'u' equals 5, we would navigate the problem by dividing numbers out front and subtracting the exponents.
Explanation:This question is about a form of a cryptarithm. Cryptarithms are mathematical puzzles where the digits are replaced by letters of the alphabet or other symbols. If the same letter appears more than once, it represents the same digit each time. Your question implies that each letter corresponds to a unique digit and that division is involved. Therefore, we need to figure out which numbers are represented by the remaining letters. You've already been given that 'u' represents 5. Since there isn't a complete problem provided, I can't offer a step by step guide on how to solve it. However, I can suggest to you to start the cryptarithm solution by dividing numbers out front and subtracting the exponents.
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The question involves substituting the given number for a letter in a division problem and then solving it. It's a step-by-step process of trial and error.
Explanation:In this problem, you are asked to find the numbers that replace the same letter throughout a division problem. Given that 'u' is 5, you know that wherever 'u' appears in your division equation, you can replace it with 5. Solve the division problem accordingly. Do not forget, each distinct letter represents a distinct number. It is a process of trial and error until you come up with the right numbers that fit the equation and abides by the division rules.
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What happens when you multiply a fraction by its reciprocal?
Describe the end behavior of the function:
y = x3 + 3x2 - 2x + 4
a)left - rises, right - falls
b)left - rises, right - rises
c)left - falls, right - falls
d)left - falls, right - rises
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Find the average value of f over region
d. f(x, y) = 4x sin(y), d is enclosed by the curves y = 0, y = x2, and x = 7.
The question involves finding the average value of function f(x, y) = 4x sin(y) over a particular region. This is done using a double integral to integrate the function over the region and divide by the area of that region. The area of the region is determined using the given boundaries.
Explanation:The subject of this question is calculus, specifically dealing with a double integral to find the average value of a function over the specified region. The given function is f(x, y) = 4x sin(y), and the region d is enclosed by the curves y = 0, y = x^2, and x = 7.
To find the average value of function f over the region d, you should use the formula for the average value of a function of two variables. This is given by: Avg = (1/Area(D)) ∫∫_D f(x, y) dA
Before we can use this formula, we need to find the area of region D. This can be obtained as a simple integral from the given boundaries: Area(D) = ∫ from 0 to 7 dx ∫ from 0 to x^2 dy = ∫ from 0 to 7 x^2 dx = [x^3/3]_0^7 = 343/3
We can then proceed with the double integration by applying the appropriate limits. This is a more complex process that requires substitutions and careful calculation. After evaluating the average value, you should get a numerical solution.
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To find the average value of a function over a region, calculate the double integral of the function over that region and divide it by the area of the region.
Explanation:To find the average value of a function over a region, we need to calculate the double integral of the function over that region and then divide it by the area of the region. In this case, the region d is enclosed by the curves y = 0, y = x-2, and x = 7. We can set up the integral as follows:
So, the average value of f over region d is 1.12.
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Robert climbed 775 steps in 12 1/2minutes. how many steps did he average per minute?
Given that f(a+b)= f(a) + f(b) and f(x) is always positive, what os the value of f(0)?
In a class of 10, there are 2 students who forgot their lunch.
If the teacher chooses 2 students, what is the probability that both of them forgot their lunch?
Answer:2/10
Step-by-step explanation: 10 students, 2 of them forgot their lunch. So 2/10 of the students will be chosen by the teacher
A rectangular swimming pool with a flat bottom is 20 feet by 12 feet. How long will it take to fill the swimming pool to 5 feet if water is being pumped into the pool at 30 cubic feet per minute?
A) 8 minutes
B) 40 minutes
C) 67 minutes
D) 120 minutes
The endpoints of a diameter of a circle a(-1,1) and b(3,3). what is the length of the radius
If we determine the distance from one point to the second point, we get the length of the diameter. This is calculated through the equation,
D= sqrt ((x2 – x1)^2 + (y2 – y1)^2)
Substituting the known values,
D = sqrt ((-1 – 3)^2 + (1 – 3)^2)
D = 4.47
The length of the radius is half that of the diameter. Hence, the radius is,
R = 4.47 /2 = 2.236
Answer: r = 2.24
To take a taxi , it cost $3.00 plus an additional $2.00 mile traveled. you spent exactly $20 on a taxi, which includes the $1tip you left. how many miles did you travel?
Alexander deposited money into his retirement account that is compounded annually at an interest rate of 7%.
Alexander thought the equivalent quarterly interest rate would be 2%. Is Alexander correct? If he is, explain
why. If he is not correct, state what the equivalent quarterly interest rate is and show how you got your
answer. i need to show my work and everything