simplify this expression 3x^2 y^2/24x
Sally is making sun tea. Every hour the concentration of the tea doubles. If it takes 6 hours for the tea to be ready how long would it take the tea to reach half of the final concentration?
It is given Sally is making sun tea. Every hour the concentration of the tea doubles.Let the concentration of tea at start is nil.Then after first hour concentration will be 2.After third hour concentration will be double of 2 that is 4.After fourth concentration will be 4(2)=8.After fifth hour concentration will be 8(2)=16.After sixth hour concentration will be 16(2)=32.
It is given:it takes 6 hours for the tea to be ready.WE need to find how long would it take the tea to reach half of the final concentration.Half of final concentration is 32÷2=16.
Concentration of 16 is after fifth hour.
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Michaela drops a ball vertically from a height of 80 feet. The peak height after each bounce is half the previous height. How far does the ball travel from the time she drops it until it reaches the peak height after the 5th bounce?
155 ft
230 ft
232.5 ft
312.5 ft
the perimeter of a triangle is 75 cm. The triangle is isosles now, but if its base were lenghthened by 2 cm and each leg were shortened by 7 cm, it would be equilateral. find the length of the base of the original triangle
(-14)+2=(-12)
75-12=63
63/3=21
21-2=19 BASE=19
21+7=28 EACH LEG=28
28+28+19=75
new triangle 21+21+21
19+2=21
28-7=21
To find the original base length of the isosceles triangle, we set up equations based on the given perimeter and the condition for the triangle turning into an equilateral triangle after changes to its sides. Solving these equations, we find that the original base length is 19 cm.
Explanation:The student is asking about solving a problem related to the perimeter of an isosceles triangle and finding the original base length given certain conditions that would turn it into an equilateral triangle.
In the original isosceles triangle, we'll denote the equal sides as 'a' and the base as 'b'. Since the perimeter is the sum of all sides, we have:
a + a + b = 75 cm
When altered, the base becomes 'b + 2 cm' and the equal sides become 'a - 7 cm'. To form an equilateral triangle, all sides must be equal:
b + 2 = a - 7
Simplifying gives us two equations:
2a + b = 75b + 2 = a - 7Rearranging the second equation we get a = b + 9. Substituting 'a' in the first equation we get:
2(b + 9) + b = 75
Which simplifies to:
3b + 18 = 75
b = 19 cm
Therefore, the length of the base of the original isosceles triangle is 19 cm.
Look at the model below and write an expression to match.
A class of 24 students was asked to identify a team sport in which they have participated. Their responses are shown in the line plot.
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a) The total responses recorded from the line plot is n = 28 responses
b) The number of students polled = 24 students
c) The fact that there were more responses than students polled suggests that one or more students engaged in more than one sport.
What is a line plot ?A line plot is a graph that shows data as points or check marks above a number line, indicating the frequency of each value.
If we need to compare two different groups , a line chart does have one advantage for visualizing frequency distributions
It displays information as a series of data points called 'markers' connected by straight line segments
Given data ,
Let the line plot be represented as A
Now , the total number of students in the class = 24 students
So , the total number of polls = 24 students
The total number of responses recorded from the points on the line plot is give by
The number of responses for football = 4
The number of responses for soccer = 8
The number of responses for baseball = 7
The number of responses for basketball = 5
The number of responses for football = 4
The total number of responses recorded from the points on the line plot is n = 28
Given that there were more replies than students asked, it is likely that some students participated in several sports.
Hence , the line plot is solved
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a jewelry store buys 24 necklaces for $300. the store wants to make a profit of $540. assuming it sells all 24 necklaces, how much should the store charge for each necklace?
Answer:
i agree with the other person
Step-by-step explanation:
Jose worked n hours at 8.75 per hour.he made a total of 61.25. Write an expression that represents the total number of hours hose work
(Photo) Please help me
Which of the following is an example of empirical probability?
Answer:
The answer is D, and with the others you aren't experimenting with anything
Step-by-step explanation:
What’s the ratio decimal of
2:3
3:7
3:6
3:8
2:5
3:7
2:4
paula earned a 56% on her science test if she got 14 problems correct then how many questions were on the test
3(x - 9) = -39
solve and check solution
write a translation rule that maps D(7,-3) onto point (2,5)
A sided cube labeled 1-6 is rolled 200 times. An even number is rolled 115 times. Compare the theoretical probability of rolling an even number with the relative frequency of rolling an even number and select one statement.
Probability the same, Probability is smaller. Probability is larger. There's not enough information
Answer:
Probability is smaller.
Step-by-step explanation:
u=1-3v/vt-w make t the subject
By isolating terms involving 't' and solving for 't', we manage to rearrange the provided equation to get t = (1-u+w)/(3v^2).
Explanation:To rearrange the provided equation u=1-3v/vt-w with t as the subject, we can follow these steps:
Start by isolating terms involving t to one side, i.e., bring all other terms to the opposite side. We get: vt = (1-u+w)/3v.The next step is to solve for t by dividing both sides of the equation by v. Hence, the final rearranged equation is: t = (1-u+w)/(3v2).Learn more about Equation Rearrangement here:https://brainly.com/question/10945620
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A stop sign has 8 equal sides. If each side is 11 inches in length, what is the perimeter of the stop sign?
What is (x-5)1/2+5=2
QUESTION 1:
The probability that an event will occur is 15%. Which of these best describes the likelihood of the event occurring?
A: Likely
B: Certain
C: Unlikely
D: Impossible
QUESTION 2:
The probability that an event will occur is 1/8 . Which of these best describes the likelihood of the event occurring?
A: Likely
B: Certain
C: Unlikely
D: Impossible
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in the diagram below bc is an altitude of abd.to the nearest whole unit.what is the length of cd
The trigonometric function gives the ratio of different sides of a right-angle triangle.The correct option is C.
What is Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
Let the length of the line segement CD be represented by x.
In ΔABC, Using the pythgorus theorem, we can write,
AB² = BC² + AC²
AB² = 30² + 16²
AB = 34 units
In ΔABC, the measure of ∠A be written as,
tan(∠A) = BC/AC
tan(∠A) = 30/16
∠A = tan⁻¹ (30/16)
∠A = 61.9275°
Now, in ΔABD, the measure of ∠A can be written as,
Cos(∠A) = AB/AD
Cos(61.9275°) = 34/(AC+CD)
0.47 = 34/(16+CD)
16 + CD = 72.25
CD = 56.25 ≈ 56
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the denominator of a certain number was 147 greater than its numerator. What was the denominator of this fraction, if after the fraction was reduced it became 5/12
sixty eight is one fourth of what number
Please help on the fraction question
A factory machine produces 5/10 kilograms of chocolate every 1/6 minutes.
At what rate does the machine produce chocolate?
A. 1/3 kg/min
B. 2/5 kg/min
C. 3 kg/min
D. 6 kg/min
l To finance a bridge costing $94,500, the state contributed twice as much as the county and the county contributed twice as much as the city. How much did each contribute?
1. Suppose the population of deer in a region was 3500 in the year of 2000 since when the population has grown by 3.5% annually what will the approximate population be in the year of 2020 y equals 8 x b x where a is the starting amount B is the growth rate increasing add to 1 and X is time.
2.
The population of New Haven was 148220 in 2004 since when the population has been decreasing at an annual rate of 2.9% if the rate of the decline continues what will the population be in the year 2015
To calculate future population growth, we use a formula incorporating the initial population, annual growth rate, and number of years. For growth, we add one to the growth rate and raise it to the power of elapsed years, then multiply by the initial population. For decline, we subtract the rate from one and then do similar exponentiation and multiplication.
Calculating Future Population Growth
To calculate the future population of deer given a starting population and a constant annual growth rate, we use the formula y = a(1+b)^x, where 'a' is the starting amount, 'b' is the growth rate, and 'x' is the number of years elapsed. For the deer population, from 2000 to 2020, there are 20 years of growth at 3.5% annually. Using a=3500, b=0.035, and x=20, the calculation is as follows:
Convert the percentage to a decimal: 3.5% becomes 0.035.
Add 1 to the growth rate: 1 + 0.035 = 1.035.
Raise this sum to the power of 20: (1.035)^20.
Multiply the result by the initial population: 3500 * (1.035)^20.
For the New Haven population, which is decreasing at 2.9% annually from 2004 to 2015 (11 years), the steps are similar. However, we subtract the percentage decline from 1 instead since the population is decreasing.
Convert the percentage to a decimal: 2.9% becomes 0.029.
Subtract this from 1: 1 - 0.029 = 0.971.
Raise this to the power of 11: (0.971)^11.
Multiply the result by the initial population of New Haven: 148220 * (0.971)^11.
After performing these calculations, we will get the estimated populations for both the deer and New Haven in the specified years.
please help ...... ............
what is the surface area of a square pyramid if the base has an area of 16cm2 and lateral faces have a slant height of 12cm?
Answer:
Surface area of a square pyramid is:
112 cm²
Step-by-step explanation:
The surface area of square pyramid is given by:
S=2bs+b²
Where b is the length of base and s is the slant height.
and Area of base=b²
Here, s=12 cm
and Area of base=b²=16 cm²
⇒ b=4 cm
Hence, Surface Area=2×12×4+4×4
= 112 cm²
Hence, surface area of a square pyramid is:
112 cm²
The perimeter of a rectangle is dependent on the length of each of its sides. Suppose the base of a rectangle is two more than its height. Complete an input/output table for at least three pairs of inputs and outputs. Make sure to use values that make sense within the context of this situation.
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what are the solutions to the equation
[tex] {x}^{2} = 625[/tex]