the correct option is:
b.
Step 1:0.035 xx16=0.56
Step 2: 16-0.56=15.44
Step 3: 0.0425 xx15.44=0.6562
Step 4: 15.44-0.6562=14.7838
Let's break down the calculations:
Step 1: Calculate the amount of water lost at the end of the first hour.
[tex]\[ \text{Amount lost} = 0.035 \times 16 = 0.56 \][/tex]
Step 2: Subtract the amount lost from the initial amount to find the remaining water at the end of the first hour.
[tex]\[ \text{Remaining water} = 16 - 0.56 = 15.44 \][/tex]
Step 3: Calculate the amount of water lost at the end of the second hour.
[tex]\[ \text{Amount lost} = 0.0425 \times 15.44 = 0.6562 \][/tex]
Step 4: Subtract the amount lost from the remaining water at the end of the first hour to find the remaining water at the end of the second hour.
[tex]\[ \text{Remaining water} = 15.44 - 0.6562 = 14.7838 \][/tex]
So, the correct option is:
b.
Step 1:0.035 xx16=0.56
Step 2: 16-0.56=15.44
Step 3: 0.0425 xx15.44=0.6562
Step 4: 15.44-0.6562=14.7838
The complete Question is given below:
A student uses a solution that contains 16 grams of water to conduct an evaporation experiment.
At the end of one hour, the amount of water in the solution has decreased by 3.5% .
At the end of two hours, the amount of water in the solution has decreased by another 4.25% .
Which calculations can be used to determine the amount of water, in grams, remaining in the solution at the end of the second hour?
a.
Step 1:0.035 xx16=0.56
Step 2: 16-0.56=15.44
Step 3: 0.0425 xx15.44=0.6562
Step 4:16-0.6562=15.3438
b.
Step 1:0.035 xx16=0.56
Step 2: 16-0.56=15.44
Step 3: 0.0425 xx15.44=0.6562
Step 4: 15.44-0.6562=14.7838
c.
Step 1:0.35 xx16=5.6
Step 2: 16-5.6=10.4
Step 3: 0.425 xx10.4=4.42
Step 4:16-4.42=11.58
d.
Step 1: 0.35 xx16=5.6
Step 2: 16-5.6=10.4
Step 3: 0.425 xx10.4=4.42
Step 4:10.4-4.42=5.98
Determine the values of the constants b and c so that the function given below is differentiable. f(x)={2xbx2+cxx≤1x>1
To make the function differentiable, we need to make it continuous at x = 1 by ensuring that both sides of the function have the same value. The values of the constants b and c are b = 1 - c, where c is any real number.
Explanation:The function given is:
f(x)={2xbx2+cxx ≤ 1 x > 1
To determine the values of the constants b and c such that the function is differentiable, we need to make sure that the function is continuous at x = 1 and both sides of the function have the same derivative at x = 1.
To do this, we need to find the limits of the function as x approaches 1 from both the left and the right sides.
From the given function, we can see that when x ≤ 1, the function is a polynomial and is differentiable for any value of b and c.
However, when x > 1, the function is not differentiable unless we choose the values of b and c such that the function becomes continuous at x = 1.
To make the function continuous, we need to make sure that both sides of the function have the same value at x = 1.
Substituting x = 1 into the given function, we have 2b(1)(1) + c(1) = b + c = 1 (since the function should be continuous at x = 1).
Therefore, the values of the constants b and c that make the function differentiable are b = 1 - c, where c is any real number.
Learn more about Differentiability of a Function here:https://brainly.com/question/32433715
#SPJ3
please help!! I don't understand
Answer:
(4, 5)
Step-by-step explanation:
All the medians intersect at the same point. RU and PS are medians so they intersect at the same point that medians QT and PS intersect.
Choose the correct conic section to fit the equation. x^2/36-y^2=1 Circle Ellipse Parabola Hyperbola
Choose the correct conic section to fit the equation. x^2/36-y^2=1 Circle Ellipse Parabola Hyperbola
Solution:
The general equation of circle is:-
(x-h)²+(y-k)=r²
The general equation of ellipse is:-
[tex] \frac{(x-h)^{2}}{a^{2}}+\frac{(y-k)^{2}}{{b^{2}}}=1 [/tex]
The general equation of parabola is:-
y = a(x-h)²+k
The general equation of hyperbola is:-
[tex]\frac{(x-h)^{2}}{a^{2}}-\frac{(y-k)^{2}}{{b^{2}}}=1[/tex]
The equation of conic section is: x^2/36-y^2=1
[tex]\frac{(x-0)^{2}}{36}-\frac{(y-0)^{2}}{1}}=1[/tex]
[tex]\frac{(x-0)^{2}}{6^{2}}-\frac{(y-0)^{2}}{{1^{2}}}=1[/tex]
Hence, this is hyperbola.
Answer: Hyperbola Option (D)
algebra 2 chapter 7
1-15 !!!
Volume and Surface Area
Math help 100 points
Answer:
1 - V = Smaller solid=512 cm³
V = Larger solid=2197 cm³
2- 1.625² = 2.64
3 - SA of big solid is found 2535 cm²
a customer buys three bottles of water at ninety nine cents each. there is seven percent tax on each bottle. what is the total bill?
10) Given that two tangent lines are constructed from the shared point A outside a circle with the center O and points of tangency B and C, what is the relationship between ∠OAB and ∠OAC?
Unit rate of 3 1/2 and 1/4
The balance on a car loan after 4 years is $8,996.32. The interest rate is 5.6% compounding annually. What was the initial value of the loan?
The function P(x) = 3,113(1.2795)^x models the population, in millions, of California since 1990. Use the function to complete the following.
The number 3.113 represents
(a) The current population, in millions, of California.
(b) The population, in millions, of California in 1990
(c) The amount, in millions, that the population increases each year
The number 1.2795 represents
(a) The population, in millions, of California in 1990.
(b) The amount, in millions, that the population increases each year.
(c) The rate the population of California is increasing each year.
PLZ HELP ASAP INSCRIBED QUADRILATERALS
At the sandwich shop, there are four different types of meat and three different types of cheese. If you select a sandwich without looking, what is the probability that it has your favorite type of meat on it?
give answer as a fraction
The solution is : 1/4 is the probability that it has your favorite type of meat on it.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, we have,
given that,
At the sandwich shop, there are four different types of meat and three different types of cheese.
If you select a sandwich without looking,
then we need to find the probability.
Solution
There are four different types of meat and three different types of cheese
Probability = number of required outcome / number of possible outcome
Total amount of meat = number of possible meat = 4
If you only have one favorite type of meat the probability 1/4
Hence, the correct answer is Option B.
The solution is : 1/4 is the probability that it has your favorite type of meat on it.
To learn more on probability click:
brainly.com/question/11234923
#SPJ3
If Teresa counts 9 leaves on September 1, how will the number of leaves change from may 1 to September 1
Which value of r indicates a stronger correlation: requals0.811 or requalsnegative 0.861? explain your reasoning?
what kinds of symmetry does the capital letter E have
hey can you please help me posted picture of question
a marble is selected at random from a jar containing 6 red marbles 3 yellow Marbles and 2 green marbles what are the odds in favor of selecting a red marble
1. You can afford a monthly mortgage payment of $1,650 and can get a 15-year 5.625% loan. What is the maximum loan you can get so your payment does not exceed $1,650?
2. You apply for a home equity loan. The lender gets an appraisal on your home, showing a value of $183,500. You have a first mortgage with a current balance of $87,435. Based on a 75% LTV ratio, what is the maximum line of credit you can get?
Jim picked a card from a standard deck. What is the probability that Jim picked a heart or an ace?
Answer:
The answer is actually 16/52.
Step-by-step explanation:
There are 13 hearts and 4 aces. However, one of the 4 aces is a heart, so there would only be 3 other aces.
13 hearts + 3 other aces = 16
There are 52 cards in a deck, so the probability would be 16/52.
a tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an intial speed of 130 feet per second. What is the maximum height, in feet, the ball will attain? round to the nearest hundredth
Final answer:
Using the kinematic equation for vertical motion, the maximum height a tennis ball will reach when fired at an initial speed of 130 ft/s from a height of 2 feet is approximately 264.91 feet.
Explanation:
Calculating the Maximum Height of a Tennis Ball
The maximum height that a tennis ball will attain when fired vertically can be calculated using the kinematic equations that describe projectile motion. Given that the initial speed of the ball is 130 feet per second and it is launched from a height of 2 feet, we can use the equation for vertical motion:
v^2 = u^2 + 2gh
where v is the final velocity (0 ft/s at the highest point), u is the initial velocity (130 ft/s), g is the acceleration due to gravity (-32.2 ft/s^2, negative because it is directed downwards), and h is the height gained. Rearranging the formula to solve for h we get:
h = (v^2 - u^2) / (2g) = (0 - 130^2) / (2 * -32.2)
After calculating h, we add the initial launch height of 2 feet to find the maximum height above ground:
Maximum Height = h + 2 feet
By plugging in the values, we can find the maximum height to be:
Maximum Height = (0 - 16900) / (-64.4) + 2 ≈ 264.91 feet (rounded to the nearest hundredth).
Therefore, the maximum height attained by the tennis ball is approximately 264.91 feet.
Write the related series for the finite sequence –7, –10, –13, . . ., –22. then find the sum.–7 + (–10) + (–13) + (–16) + (–19) + (–22) = –87
–7 + (–10) + (–13) + (–15) + (–18) + (–22) = –85
–7 + (–10) + (–13) + (–14) + (–18) + (–22) = –84
–7 + (–10) + (–13) + (–17) + (–20) + (–22) = –89
Answer: [tex]-7+(-10)+(-13)+(-16)+(-19)+(-22)=-87[/tex]
Step-by-step explanation:
Given finite sequence : -7, -10, -13, . . ., -22.
Difference between first and second term=[tex]-10-(-7)=-10+7=-3[/tex]
Difference between second and third term =[tex]-13-(-10)=-13+10=-3[/tex]
Hence, the common difference = -3
The next term after -13 =[tex]-13+(-3)=-13-3=-16[/tex]
The next term after -16 =[tex]-16+(-3)=-16-3=-19[/tex]
The next term after -19 =[tex]-19+(-3)=-19-3=-22[/tex].........which is the last term of the sequence.
Now, the sum of the given sequence =[tex]-7+(-10)+ (-13) + (-16) + (-19) + (-22) [/tex]
[tex]=-7-10-13-16-19-22= -87[/tex]
which statement describes the ratio of weight to mass and the value of x in the table?
Using the law of cosines, a=_ rounded to the nearest tenth.
Answer: a = 2.2
Given that: b = 4.0, c = 3.7, A=33.
The law of cosine is:
[tex]a^2=b^2+c^2-2bccosA\\a^2=4.0^2+3.7^2-2(4.0)(3.7)cos(33)\\a^2=4.86535118882\\a=\sqrt{4.86535118882}\\a=2.20575410888\\a=2.2[/tex]
So a = 2.2
Learn more: https://brainly.com/question/22699651
Assume the least squares equation is ŷ = 10 + 20x. what does the value of 10 in the equation indicate? when x = 0, y = 10. x increases by 10 for each unit increase in y. y increases by 10 for each unit increase in x. it is the error of estimation.
The value of 10 in the equation ŷ = 10 + 20x represents the y-intercept, which is the value of y when x equals zero.
Explanation:The value of 10 in the equation ŷ = 10 + 20x represents the y-intercept. In the context of the least squares equation, the y-intercept is the value of y when x equals zero. So when x = 0, y = 10, indicating that the initial value of y is 10.
Learn more about y-intercept here:https://brainly.com/question/14180189
#SPJ3
what is the difference between the greatest amount and least amount of gasoline used to mow lawns?
1/8 2/8 3/8/4/8 5/8
If we reject the null hypothesis, h0: ρ = 0 , what can we conclude about the population correlation coefficient?
Hakim invests $700 in a bank that pays 5% simple interest annually. After one year he uses the money in his account to buy a computer. The original cost of the computer is $750.00 . The computer is on sale for a 20% discount off of the original cost. The sales tax is 4% of the sale price.
After purchasing the computer, how much does Hakim have left in his bank account? Show your work.
How do you solve this
Solve for x. Use the completing the squares method. Round decimals to the nearest tenth. 2x2+16x=−18 (
Answer:
[tex]x = -4 \frac{+}{-} 2\sqrt{5\\}[/tex]
Step-by-step explanation:
sqrt= Square Root
A student is attempting to calculate the square root of 18. His work is shown below. Which statement below best applies to his mathematical reasoning?
Givin sqrt 18 I observe that 18 is not a perfect square. I notice the perfect squares closest to 18 are 16 and 25, so I estimate the answer to fall somewhere between those numbers. Since 18 is closer to 16, I estimate that sqrt 18= 17
A.
18 is a perfect square, and the radical could have been evaluated directly.
B.
16 and 25 are not perfect squares, and therefore the student should not have chosen those numbers to estimate sqrt 18
C.
The student did not evaluate sqrt 16 and sqrt 25 before estimating sqrt 18
D.
The student has made no error. sqrt 18= 17