The solution to the equation log(n+3) = -1 is n = -2.9.
What is logarithm?A logarithm is the inverse operation of exponentiation. It is a mathematical function that tells you how many times a particular number (called the base) must be multiplied by itself to obtain a given value.
According to question:The equation log(n+3) = -1 means that the logarithm of (n+3) to the base 10 is equal to -1. In other words:
\(10^(-1)\) = n + 3
Recall that \(10^(-1)\) means the reciprocal of 10, which is 1/10. Thus, the equation can be rewritten as follows:
1/10 = n + 3
Subtracting 3 from both sides, we get:
1/10 - 3 = n
Multiplying both sides by 10, we get:
1 - 30 = 10n
Simplifying, we get:
-29 = 10n
Dividing both sides by 10, we get:
n = -2.9
Therefore, the solution to the equation log(n+3) = -1 is n = -2.9.
To know more about logarithm visit:
https://brainly.com/question/30226560
#SPJ1
A sphere has a radius of 5 inches. What is its volume? Sphere V = 4 3 πr3 1. Substitute the radius into the formula: V = 4 3 π(53) 2. Evaluate the power: V = 4 3 π(125) 3. Simplify: V = in.3
Answer:
The volume of sphere is 524 in³ .
Step-by-step explanation:
By substituing the radius into the formula :
\(v = \frac{4}{3} \times \pi \times {r}^{3} \)
Let r = 5,
\(v = \frac{4}{3} \times \pi \times {5}^{3} \)
\(v = \frac{4}{3} \times \pi \times 125\)
\(v = \frac{500}{3} \pi\)
\(v = 524 \: {inches}^{3} (3s.f)\)
Answer:
The first person who answered this is wrong. It's 500/3 in.3
Step-by-step explanation
Did it on Edge.
an oil prospector will drill a succession of holes attempting to find a productive well. assume the probability of being successful on any drilling is 0.15, and that outcomes of drillings are independent. what is the expected number of drilling attempts needed in order to find a productive well? what is the probability that the first productive well is found on the third attempt? if the prospector can only afford to drill five holes, what is the probability that the prospector will fail to find a productive well
The oil prospector drills wells with a success probability of 0.15. The probability of finding the first productive well in the third attempt is 0.108375 and the probability that the prospector fails to find productive well in the first 5 attempts is 0.26724 or 26.724%
Let Y be the number of drilling trials on which the prospector will find the first productive well. As Y is a geometric random variable with p=0.15 where p is the probability of being successful on any drilling. Let q = 1- p be the probability of being unsuccessful in drilling a well. q = 1 - 0.15 = 0.85
The probability that the first productive well is found on the third attempt is when outcomes are independent
P(Y=3) = q * q * p = 0.85^2* 0.15 = 0.108375
We want to find the probability that 5 wells are drilled and not a productive one is found. That is we need to find p(Y>5). Y is a binomial random variable with several wells drilled at most as n. Given n=5 and p=0.15, q = 0.85
We know the geometric probability is p(y) = \(q^{y-1}\)p
Then corresponding probabilities are added
p(Y≤ 5 ) = p(0) + p(1) +p(2) + p(3) +p(4) +p(5)= 0.73276
Using the complement rule:
p(Y>5) = 1 - p(Y≤5) = 1- 0.73276 = 0.26724 = 26.724 %
Problem on finding the probability of success on rolling a die:
brainly.com/question/13012531
#SPJ4
Use the protractor to measure
these angles
M
m
m
Check
If the provider has documented "rule t^ prime prime in the diagnostic statement , the medical assistant must code what ?
When a provider documents a code in the range of Z30 to Z39 in a patient's records, it typically refers to a category of codes related to "Encounter for Contraceptive Management" in the International Classification of Diseases, Tenth Revision (ICD-10).
The codes in this range, from Z30 to Z39, are used to classify encounters related to contraceptive management, including family planning, contraception counseling, initiation or management of contraceptive methods, and follow-up visits.
These codes are used to indicate that the purpose of the encounter was specifically related to contraception or family planning services.
This information is relevant for various purposes, such as medical coding, billing, and ensuring accurate documentation of the patient's visit.
To know more about contraception:
https://brainly.com/question/30298616
#SPJ4
--The given question is incomplete, the complete question is given below " A provider has documented code in the range of Z30 to Z39 in submission. in a patient's records. Which is the medical assistant representing?"--
What are the digits that repeat in the smallest sequence of repeating digits in the decimal equivalent of 2411?
Answer:
18
Step-by-step explanation:
What are the answers for these 11, 14, 15, 16 and 20.
Answer:
11. (x, y) -> (7, -3)
14. (x, y) -> (-3, -2)
15. (x, y) -> (-3, 2)
16. (x, y) -> (7,6)
20.(x, y) -> (4, 1)
Step-by-step explanation:
11.
x + 3y = 1
-3x -3y = -15
-2x = -14
/-2 /-2
x = 7
x + 3y = 1
7 + 3y = 1
-7 -7
3y = -6
/3 /3
y = -2
(x, y) -> (7, -3)
14.
-3x + 3y = 3
-5x + y = 13
-5x + y = 13
+5x +5x
y = 5x + 13
-3x + 3(5x + 13) = 3
-3x + 15x + 39 = 3
12x + 39 = 3
- 39 -39
12x = -36
/12 /12
x = -3
Now, we solve for y:
-5x + y = 13
-5(-3) + y = 13
15 + y = 13
-15 -15
y = -2
(x, y) -> (-3, -2)
15.
6x + 6y = -6
5x + y = -13
5x + y = -13
-5x -5x
y = -5x - 13
6x + 6y = -6
6x + 6(-5x - 13) = -6
6x -30x - 78 = -6
-24x - 78 = -6
+ 78 + 78
-24x = 72
/-24 /-24
x = -3
Now, we solve for y:
6x + 6y = -6
6x + 6y = -6
6(-3) + 6y = -6
-18 + 6y = -6
+18 +18
6y = 12
/6 /6
y = 2
(x, y) -> (-3, 2)
16.
2x + y = 20
6x - 5y = 12
2x + y = 20
-2x -2x
y = -2x + 20
6x - 5y = 12
6x - 5(-2x + 20) = 12
6x + 10x - 100 = 12
16x - 100 = 12
+ 100 +100
16x = 112
/16 /16
x = 7
Now, we solve for y:
2x + y = 20
2(7) + y = 20
14 + y = 20
-14 -14
y = 6
(x, y) -> (7,6)
20.
-2x - y = -9
5x - 2y = 18
-2x - y = -9
+2x +2x
-y = 2x - 9
/-1 /-1
y = -2x + 9
5x -2y = 18
5x - 2(-2x + 9) = 18
5x + 4x - 18 = 18
9x - 18 = 18
+ 18 + 18
9x = 36
/9 /9
x = 4
Now, we solve for y:
-2(4) - y = -9
-8 - y = -9
+ 8 +8
-y = -1
/-1 /-1
y = 1
(x, y) -> (4, 1)
Hope this helps!
Enter an algebraic expression to model the given context. give your answer in simplest form. the price s of a pair of shoes plus 2% sales tax.
An algebraic expression which models the given context would be written as s + 0.02s = 1.05s.
What is price?Price can be define as an amount of money which is primarily set by the seller of a good (product), and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product).
What is an algebraic expression?An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
Let s represent the price of a pair of shoes.
Therefore, an algebraic expression which models the given context would be written as follows:
s + 0.02s = 1.05s.
Read more on algebraic expression here: https://brainly.com/question/17615109
#SPJ4
The water usage at a car wash is modeled by the equation w(x) = 5x3 9x2 − 14x 9, where w is the amount of water in cubic feet and x is the number of hours the car wash is open. the owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. the amount of decrease in water used is modeled by d(x) = x3 2x2 15, where d is the amount of water in cubic feet and x is time in hours. write a function, c(x), to model the water used by the car wash on a shorter day. c(x) = 5x3 7x2 − 14x − 6 c(x) = 4x3 7x2 − 14x 6 c(x) = 4x3 7x2 − 14x − 6 c(x) = 5x3 7x2 − 14x 6
The function to model the water used by the car wash on a shorter day is (C) \(4x^{3} +7x^{2} -14x-6\).
What is a function?A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable).To find the function to model the water used by the car wash on a shorter day:
Given that the amount of water used on normal days is given by the equation:
\(W(x) =5x^{3} +9x^{2} -14x+9\) ......(1)The amount of decrease in water used is modeled by the equation:
\(D(x)=x^{3} +2x^{2} +15\) ......(2)To get the function \(C(x)\) that models the water used by the car wash on a shorter day you subtract equation (2) from equation (1).
\(5x^{3} +9x^{2} -14x+9-(x^{3} +2x^{2} +15)\\5x^{3} +9x^{2} -14x+9-x^{3} -2x^{2} -15\\4x^{3} +7x^{2} -14x-6\)Therefore, the function to model the water used by the car wash on a shorter day is (C) \(4x^{3} +7x^{2} -14x-6\).
Know more about functions here:
https://brainly.com/question/6561461
#SPJ4
The correct question is shown below:
The water usage at a car wash is modeled by the equation w(x) = 5x3 9x2 − 14x 9, where w is the amount of water in cubic feet and x is the number of hours the car wash is open. the owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. the amount of decrease in water used is modeled by d(x) = x3 2x2 15, where d is the amount of water in cubic feet and x is time in hours. write a function, c(x), to model the water used by the car wash on a shorter day.
(A) c(x) = 5x3 7x2 − 14x − 6
(B) c(x) = 4x3 7x2 − 14x 6
(C) c(x) = 4x3 7x2 − 14x − 6
(D) c(x) = 5x3 7x2 − 14x 6
Log5 =0,699 find log 0,5
Answer:
-0.301
Step-by-step explanation:
Correct Question :-
If log 2 = 0.301 , find log 0.5
Solution :-
We are here given that the value of log 5 is 0.699 . Here the base of log is 10 .
\(\rm\implies log_{10}2= 0.301 \)
And we are supposed to find out the value of log 0.5 . We can write it as ,
\(\rm\implies log_{10}(0.5) = log _{10}\bigg( \dfrac{5}{10}\bigg)\)
Simplify ,
\(\rm\implies log _{10}\bigg( \dfrac{1}{2}\bigg)\)
This can be written as ,
\(\rm\implies log_{10} ( 2^{-1})\)
Use property of log ,
\(\rm\implies -1 \times log_{10}2 \)
Put the value of log 2 ,
\(\rm\implies -1 \times 0.301 =\boxed{\blue{-0.301}} \)
Hence the value of log (0.5) is -0.301 .
*Note -
Here here there was no use of log 5 in the calculation .
find the slope of line passing through the points (6, 2) and (6, -3)
Answer:
The slope is undefined.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-3-2)/(6-6)
m=-5/0
undefined
EXTRA POINTS
Is the transformation a dilation, rotation, reflection, or a translation?
Match each graph with its function. Please help
Answer:
graph 1: f(x) = 3*x^2 - 5*x
graph 2: f(x) = 3*x^2 + 5
graph 3: f(x) = -3*x^2 - 5
Step-by-step explanation:
This is ratter easy if we know some of the main rules for quadratic equations.
For a quadratic equation:
y = f(x) = a*x^2 + b*x + c
if a > 0, then the arms of the graph will open upwards.
if a < 0, then the arms of the graph open downwards.
With this in mind we can look at the graphs, only one of them have arms that open downwards, then the function that matches with this graph should be the only one with a leading coefficient smaller than zero, which is:
f(x) = -3*x^2 - 5
Now, when we have functions like:
y = f(x) = a*x^2 + c
c is the value of y at the vertex.
In graph 2 we can see that the arms open upwards, and that the y-value at the vertex is positive (it is above the horizontal axis)
Then the function of graph 2 should have a positive leading coefficient and a positive constant term.
The function is:
f(x) = 3*x^2 + 5
Then the remaining function is the one that corresponds to graph 1
f(x) = 3*x^2 - 5*x
Then we have:
graph 1: f(x) = 3*x^2 - 5*x
graph 2: f(x) = 3*x^2 + 5
graph 3: f(x) = -3*x^2 - 5
determine whether the series is convergent or divergent. [infinity] ln n2 1 3n2 8 n = 1 convergent divergent if it is convergent, find its sum. (if the quantity diverges, enter diverges.)
To determine whether the series [infinity] ln(n^2)/(3n^2 + 8) n = 1 is convergent or divergent, we can use the limit comparison test. By comparing it with a known convergent or divergent series, we can determine the nature of this series.
To determine the convergence or divergence of the series [infinity] ln(n^2)/(3n^2 + 8) n = 1, we can use the limit comparison test. First, we choose a known convergent or divergent series to compare it with. In this case, we can compare it with the series 1/n^2, which is a convergent p-series.
We take the limit as n approaches infinity of the ratio of the terms of the given series and the chosen series:
lim(n→∞) ln(n^2)/(3n^2 + 8) / (1/n^2)
By applying L'Hôpital's rule to the numerator and denominator, we get:
lim(n→∞) 2n/(6n) = 1/3
Since the limit is a finite positive value, the given series and the series 1/n^2 have the same convergence behavior. Therefore, the given series is convergent.
To find the exact sum of the series, additional calculations or techniques such as partial fraction decomposition may be required. However, this information is not provided, so the exact sum cannot be determined with the given information.
To learn more about partial fraction decomposition click here : brainly.com/question/30401234
#SPJ11
solve |x + 5| = -7 ....
Answer:
2,-12
Step-by-step explanation:
The given equation is ,
\(\implies |x + 5 | = -7 \)
We know that modulus only gives positive value , Therefore on squaring both sides we have ,
\(\implies (x + 5 )^2=( -7)^2 \\\\\implies (x+5)^2=7^2\\\\\implies x + 5 =\pm 7 \\\\\implies x = 7-5,-7-5 \\\\\implies \boxed{ x = 2, -12} \)
what do you do on here like
Answer:
I come here to get answers for my homework and help other people
Plzz give me brainliest, i really need it to level up
Answer:
we answer each others questions and have fun !!
3.12 If h(t)= [u(t-1)- u(t - 4)] and x(t) = t[u(t)- u(t-2)], obtain graphically the response y(t). For what value of t does y(t) reach its maximum value?
The response y(t) graphically, we can first plot the individual functions h(t) and x(t) on a graph, and then determine their convolution to obtain y(t). Let's go step by step:
Plotting h(t):
The function h(t) is defined as h(t) = [u(t-1) - u(t-4)].
The unit step function u(t-a) is 0 for t < a and 1 for t ≥ a. Based on this, we can plot h(t) as follows:
For t < 1, h(t) = [0 - 0] = 0
For 1 ≤ t < 4, h(t) = [1 - 0] = 1
For t ≥ 4, h(t) = [1 - 1] = 0
So, h(t) is 0 for t < 1 and t ≥ 4, and it jumps up to 1 between t = 1 and t = 4. Plotting h(t) on a graph will show a step function with a jump from 0 to 1 at t = 1.
Plotting x(t):
The function x(t) is defined as x(t) = t[u(t) - u(t-2)].
For t < 0, both u(t) and u(t-2) are 0, so x(t) = t(0 - 0) = 0.
For 0 ≤ t < 2, u(t) = 1 and u(t-2) = 0, so x(t) = t(1 - 0) = t.
For t ≥ 2, both u(t) and u(t-2) are 1, so x(t) = t(1 - 1) = 0.
So, x(t) is 0 for t < 0 and t ≥ 2, and it increases linearly from 0 to t for 0 ≤ t < 2. Plotting x(t) on a graph will show a line segment starting from the origin and increasing linearly with a slope of 1 until t = 2, after which it remains at 0.
Obtaining y(t):
To obtain y(t), we need to convolve h(t) and x(t). Convolution is an operation that involves integrating the product of two functions over their overlapping ranges.
In this case, the convolution integral can be simplified because h(t) is only non-zero between t = 1 and t = 4, and x(t) is only non-zero between t = 0 and t = 2.
The convolution y(t) = h(t) * x(t) can be written as:
y(t) = ∫[1,4] h(τ) x(t - τ) dτ
For t < 1 or t > 4, y(t) will be 0 because there is no overlap between h(t) and x(t).
For 1 ≤ t < 2, the convolution integral simplifies to:
y(t) = ∫[1,t+1] 1(0) dτ = 0
For 2 ≤ t < 4, the convolution integral simplifies to:
y(t) = ∫[t-2,2] 1(t - τ) dτ = ∫[t-2,2] (t - τ) dτ
Evaluating this integral, we get:
\(y(t) = 2t - t^2 - (t - 2)^2 / 2,\) for 2 ≤ t < 4
For t ≥ 4, y(t) will be 0 again.
Maximum value of y(t):
To find the value of t at which y(t) reaches its maximum value, we need to examine the expression for y(t) within the valid range 2 ≤ t < 4. We can graphically determine the maximum by plotting y(t) within this range and identifying the peak.
Plotting y(t) within the range 2 ≤ t < 4 will give you a curve that reaches a maximum at a certain value of t. By visually inspecting the graph, you can determine the specific value of t at which y(t) reaches its maximum.
Learn more about function here:
https://brainly.com/question/11624077
#SPJ11
hi, pls help! tysm and I will send thanks! enjoy ur day!!
Answer:
angle x = 133 degrees
Step-by-step explanation:
A straight line has a angle of 180.
So you need to find the other angle of the triangle.
To do this add the known angles and subtract from 180 because that is the sum of all angles of a triangle.
91 + 42 = 133
180 - 133 = 47
Now subtract 47 from 180.
180 - 47 = 133
The answer is 133.
Which one of the following option is true and YY is equal to 3 x 5 has?
The given equation y = 3x + 5 has infinitely many solutions.
What is a linear equation in two variables?
If an equation is written in the form ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables.
Given: Linear equation y = 3x + 5
We know that,
The linear equation in two variables in the form of ax + by + c = 0
For x = 0, y = 0 + 5 = 5. Therefore, (0, 5) is one solution.
For x = 1, y = 3 × 1 + 5 = 8. Therefore, (1, 8) is another solution.
For y = 0, 3x + 5 = 0, x = -5/3. Therefore, (-5/3, 0) is another solution.
Clearly, for different values of x, we get various values for y. Thus, any value substituted for x in the given equation will constitute another solution for the given equation. So, there is no end to the number of different solutions obtained by substituting real values for x in the given linear equation. Therefore, a linear equation in two variables has infinitely many solutions.
Hence, the given equation y = 3x + 5 has infinitely many solutions.
To learn more about linear equations, visit:
https://brainly.com/question/24085666
#SPJ4
Eastside Gym charges a $60 initial fee and $28.50 per month. Valley Gym charges $36 per month, and no initial fee. After how many months of use would Eastside cost less than Valley
answer: after 6 months
Major television networks conducted a joint poll of viewers and asked them if they felt that beer and other alcoholic beverage commercials targeted teenagers and young adults (those under 21 years old). The results of the survey are as follo
The survey conducted by major television networks revealed that 65% of viewers felt that beer and other alcoholic beverage commercials targeted teenagers and young adults, while 25% disagreed, and 10% were unsure or had no opinion on the matter.
According to the results of the joint poll conducted by major television networks, viewers were asked if they felt that beer and other alcoholic beverage commercials targeted teenagers and young adults (those under 21 years old).
The survey aimed to gauge public perception regarding the advertising practices of these products.
The outcome of the survey can be summarized as follows:
The majority of respondents, comprising 65% of the participants, expressed the belief that beer and alcoholic beverage commercials do indeed target teenagers and young adults.
This indicates a significant level of concern among viewers regarding the potential influence of such advertisements on underage individuals.
On the other hand, 25% of the respondents disagreed with the notion that these commercials specifically target teenagers and young adults. This suggests that a substantial portion of the viewers do not perceive these advertisements as intentionally aimed at underage audiences.
A smaller proportion of the participants, accounting for 10% of the respondents, indicated uncertainty or had no opinion on the matter. These individuals either lacked sufficient awareness or did not hold a clear stance regarding the targeting of teenagers and young adults in beer and alcoholic beverage commercials.
The survey conducted by the major television networks provides valuable insights into public perceptions regarding the advertising practices of beer and alcoholic beverages.
The results highlight a prevailing belief among a significant majority of viewers that these commercials do target teenagers and young adults, suggesting the need for further examination and regulation in this area to ensure responsible advertising practices.
For similar question on survey.
https://brainly.com/question/14610641
#SPJ8
I don't have time pls help pls pls pls pls
Evaluate the expression for x = 9.
–7x =
alan deposited 2500 in an investment account that pays an interest rate of 7.8% compounded monthly if he makes no other deposirs or withdrawlshow much will he have in the account in 15 years
50 PTS & BRAINLIEST! PLEASE HELP ASAP! Add one number to each column of the table so that it shows a function. Do not repeat an ordered pair that is in the table
X is equal to 8 and Y is equal to 3.
What is an ordered pair?A pair that has two values stated in a certain sequence between parenthesis is known as an ordered pair. It is made up of the x coordinate (abscissa) and the y coordinate (ordinate). For greater visual comprehension, it helps to locate a point on the Cartesian plane.
Each domain element should have exactly one picture for the function, therefore the newest element in the column of x shouldn't be 6,3,9,7. Thus, we have two options for x = 8 or 12
Taking 8 will allow us to add another to the column on y, making y equal to 3.
thus, x = 8 and y = 3.
When an ordered pair is used, the numbers do not repeat.
To know more about ordered pair click the link:
brainly.com/question/29441814
#SPJ1
I need the points for this to make the graph but I don't know this 1 is confusing
Answer: you graph -2 at the y-axis and then you go down 3 and to the right 1 time
Step-by-step explanation:
Answer:
y= -3x -2 EQUALS 3x - y = 2
whats 1/4 divided by 3
Answer:
12/1
Step-by-step explanation:
the answer is twelve as u do the steps of reciprocal
Step-by-step explanation:
if 1/4 divided by 3.
1/12
Suppose you go from the earth to a planet where the acceleration of gravity is 2.5 m/s?. On the new planet; your weight will be times its value on earth b. b) Va times its value on Earth the same its value on Earth d can"t tell Clear my choice
On the new planet, your mass will be the same. Therefore, the correct option is A.
The mass of an object is a fundamental property that remains constant regardless of the location or environment. Therefore, if you were to travel from Earth to a planet with an acceleration of gravity of 2.5 m/s², your mass would remain the same. Therefore, the correct answer is A: the same.
It is important to note that although the mass remains constant, the weight of the object may vary based on the strength of gravity. Weight is the measure of the force of gravity on an object, and it is directly proportional to the acceleration of gravity. As the acceleration of gravity increases, the weight of an object also increases.
Note: The question is incomplete. The complete question probably is: Suppose you go from the earth to a planet where the acceleration of gravity is 2.5 m/s. On the new planet, your mass will be about a. a) the same b. b) 7 times its value on Earth c. c) 2 times its value on Earth d. d) 4 times its value on Earth.
Learn more about Mass:
https://brainly.com/question/86444
#SPJ11
the product of 5 and the sum of -5 and a number is -25
Answer:
The number is 0.
Step-by-step explanation:
Let's say the number is "n"
5(-5+n)=-25
rearrange:
5(n-5)=-25
Simplify:
5n-25=-25
rearrange:
5n=-25+25
simplify:
5n=0
n=0
Solve. 10−2x=3x+7
x=3/5
x=17/5
x = 17
Answer: x = (3/5)
Step-by-step explanation:
10−2x=3x+7
3 = 5x [Consolidate terms]
x = (3/5)
Volume of a cube (cm') = width (cm) x height (cm) x length (cm). 1.1) Using the equation above, determine the volume of a cube that measures 3 cm wide, 3 cm tall, and 3 cm long. 1.2) Let's say this cube is made out of ice and has a mass of 24.76 grams (g). What is this ice cube's density? 1.3) The density of liquid water is slightly higher than that of frozen water ice. Liquid water's density at standard pressures and temperatures is 1.00 grams per cubic centimeter (g/cm'). Given that density, what is the mass of a cube of water measuring 3 cm wide, 3 cm tall, and 3 cm long? 1.4) Compare the weight of the water you calculated in question 1.3 with the weight of the ice of the same volume given in question 1.2. Which is heavier, the liquid water or the ice? Notice that the cube of water is the same size (or volume) as the cube of ice. 1.5) You know that ice floats on water. Explain why.
1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:
Volume = 3 cm x 3 cm x 3 cm = 27 cm³.
Therefore, the volume of the cube is 27 cubic centimeters.
1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:
Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.
Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:
Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.
Therefore, the mass of the water cube is 27 grams.
1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.
Therefore, the weight of the water and the ice would be the same under the same conditions.
1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.
When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.
In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
Learn more about cube;
brainly.com/question/15420947
#SPJ4
what is the answer of this questoin 2c-3b+6+7b-2b+11?
Answer:
\(2c+2b+17\)
Step-by-step explanation:
-----------------------
Given:
\(2c-3b+6+7b-2b+11\)
---------->>>>
Collect like terms.
\(2c+(-3b+7b-2b)+(6+11)\)
---------->>>>
Simplify
\(2c+2b+17\)
------------------------
Hope this is helpful.
Answer:
2c-2b+17 if using algebra
Step-by-step explanation:
firstly group like terms 2c+(-3b)+7b-2b+6+11
2c-2b+17