The freezing point of seawater is −2 °C. The freezing point of nitric acid is −42 °C.
A photo of frozen seawater is shown.
How much greater is the freezing point of seawater than the freezing point of nitric acid?
The difference between the freezing point of seawater and the freezing point of nitric acid is 40 °C.
As per the question, we can write
The freezing point of seawater = −2 °C.
The freezing point of nitric acid = −42 °C.
We were asked to calculate the difference between the freezing point of seawater and the freezing point of nitric acid. We can find the difference between the freezing point of seawater and the freezing point of nitric acid by following the steps mentioned below;
The difference between the freezing point of seawater and the freezing point of nitric acid = Freezing point of Seawater - Freezing point of nitric acid
The difference between the freezing point of seawater and the freezing point of nitric acid = -2 - (-42) = 40 °C.
To know more about Freezing Point refer to the link:
https://brainly.com/question/24314907
#SPJ1
explain this question and i will give those crown thingy
2 pages
Answer:
1.) -4
2.) 3/5 and 6/10 are both equal to 0.6
Step-by-step explanation:
1.) 16(1/4 - 1/2)
For this one you can either distribute the 16 and solve or just subtract the fractions and solve. I like the first method personally:
16/4 - 16/8
4 - 8
-4
2.) Fractions can be looked at as dividing the top (numerator) by the bottom (denominator). If we put each of the answer choices into our calculator and divide, we get 3/5 and 6/10. Note that 2/3 = 0.66, but that is not the same as 0.6.
PLEASE HELP ME I NEED 4 ANSWERS !!!!!!!!!! a) Fill in the gaps to factorise the expression below.
3x² + 16x + 5 = (3x + −)(x + −)
b) Use your answer to part a) to solve 3x² + 16x + 5 = 0
The roots the the given quadratic equation, will be -1/3 and -5 so the factors will be (3x+1)(x+5). As the value of roots is known, so the value of quadratic equation will be zero (0) for both the roots.
As per the question statement, we are supposed to fill the gaps to factorize the quadratic equation given :
3x² + 16x + 5 = (3x + _)(x + _)
We need to solve the expression for finding out its factors.
y = 3x² + 16x + 5
y = 3x² + 15x + x + 5
y = 3x(x + 5) + 1(x + 5)
y = (3x + 1)(x + 5)
Therefore, the roots the the given quadratic equation, will be -1/3 and -5 so the factors will be (3x+1)(x+5). As the value of roots is known, so the value of quadratic equation will be zero (0) for both the roots.
Quadratic equation: Any equation where there is just one term that squares the unknown and none that raises it to a higher power.Roots: Roots of any quadratic equation / expression is the value of the variable at which the complete value of the expression becomes zero (0). Number of roots = highest degree.To learn more about Quadratic equation, click on the link given below:
https://brainly.com/question/26090334
#SPJ1
x+53+86=65 which is this
Answer:
[tex]x + 53 + 86 = 63 \\53 - 86 = 33[/tex]
Toby picks a 5-digit number. It is larger than 49,999 and it is a multiple of 5. How many different numbers could he have picked?
The total number of different numbers which Toby could have picked according to the task content as given is; 1,000.
How many different numbers could Toby have picked?It follows from the task content that the number of different numbers which Toby could have picked given the conditions is to be determined.
On this note, since the required number is to be greater than 49,999 and must be a 5-digit number, the numbers which he could pick would range from;
49,999 - 99,999.
Hence, there are 5000 numbers in between.
Additionally, since the number must be a multiple of 5, the total number of multiples of 5 from 5,000 consecutive numbers is;
= 5,000/5
= 1000 different numbers.
Therefore, Toby could pick any of 1000 different numbers.
Read more on multiples of 5;
https://brainly.com/question/764013
#SPJ1
Write an equation of the line passing through the point A(6,-1) that is perpendicular to the line y=-2x+8
Answer:
[tex]y+1=\frac{1}{2}(x-6)[/tex]
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals, so the slope of the line to be found is 1/2.
Substituting into point-slope form, the equation is
[tex]y+1=\frac{1}{2}(x-6)[/tex]
A bag of flour has a mass of 4.5 kilograms. How many grams are in 4.5 kilograms?
The first thing we have to know is that 1 kilogram is equal to 1000 grams
[tex]\begin{gathered} 1\operatorname{kg}\to1000gr \\ \frac{1000gr}{1\operatorname{kg}} \end{gathered}[/tex]if we have 5.4 kilograms
[tex]\begin{gathered} 4.5\operatorname{kg}\cdot\frac{1000gr}{1\operatorname{kg}}=(4.5)(1000gr) \\ \end{gathered}[/tex][tex]4.5kg=4500gr[/tex]Mark's football team has scored about 24 points each game. They played 12 games this season.
What is the best estimate for the total number of points they scored in the season?
Ο Α. 150
B. 250
OC. 20
OD. 360
Answer:
250
Step-by-step explanation:
Convention of 1818 helped lessen tensions even further between the United States and Great Britain. They agreed to make __________the boundary between Canada and the United States.
Answer:
The Convention of 1818 was a treaty between the United States and Britain that set the 49th parallel as the boundary between British North America and the US across the West.Forty-Ninth ParallelCutting on the 49th parallel, on the right bank of the Moyie River, looking west, 1860.(courtesy North American Boundary Commission)The Convention of 1818 was a treaty between the United States and Britain that set the 49th parallel of latitude as the boundary between British North America and the US across the West. This remains the boundary today between the two nations.
hope that helps! Have a good day
9. Extend Your Thinking Georgette bought some craft items. The silk flowers cost three times as much as the ribbon. The ribbon cost two times what the foam cost. The vase cost $12, which was three times as much as the foam. How much did the silk flowers cost?
Given
s: silk flowers
r: ribbon
f: foam
v: vase
Procedure
s = 3r
r = 2f
v = 3f
[tex]\begin{gathered} v=12 \\ 3f=12 \\ f=\frac{12}{3} \\ f=4 \end{gathered}[/tex][tex]\begin{gathered} r=2\cdot f \\ r=2\cdot4 \\ r=8 \end{gathered}[/tex][tex]\begin{gathered} s=3\cdot r \\ s=3\cdot8 \\ s=24 \end{gathered}[/tex]s: silk flowers $24
r: ribbon $ 8
f: foam $ 4
v: vase $12
Bridget’s rectangular living room was 12ft 8in by 14ft 6in How many of carpet will she need if she was advised to expect 10% waste and she cannot buy part of a square yard?
The first step we need to do is to convert the measures from inches to feet (12 inches is 1 foot):
8 inches = 8/12 feet = 0.667 feet
6 inches = 6/12 feet = 0.5 feet
So the measures are 12.667 ft and 14.5 ft.
Now, to find the area of the rectangular living room, we just need to multiply these measures:
[tex]\text{Area}=12.667\cdot14.5=183.67in^2[/tex]Since we expect a waste of 10%, we need to increase this area by 10%, that is, we multiply it by 110% or 1.1:
[tex]NewArea=Area\cdot1.1=183.67\cdot1.1=202.03in^2[/tex]Since she cannot buy part of a square yard, we need to round up our answer (if we round down, the amount of carpet will not be enough). So rouding up, she will have to buy 203 in2 of carpet.
the filer middle school soccer team of 27 students is riding to an out of town game. if 6 students can ride in a van, how many vans will be needed?
??????????????????/?
iven
adiius of circle = 3 ft
ind
rea and circumference of a circle
xplnanation
Circumference of a circle is given by
[tex]\begin{gathered} C=2\pi r \\ C=2\times3.14\times3 \\ C=18.84ft \end{gathered}[/tex]Area of circle =
[tex]\begin{gathered} A=\pi r^2 \\ A=3.14\times3\times3 \\ A=28.26ft^2 \end{gathered}[/tex]inal ANnswer
ircumference =
[tex]18.84ft[/tex]Area =
[tex]28.26ft^2[/tex]
What is the value of x?
6x-2(x+4)=12
Answer:
Step-by-step explanation:
6x-2x-8=12
4x-8=12 (add 6x and -2x)
4x=20 (8+12=20)
x=5 (4 divide by 20 =5)
The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is 3.91. The US EIA updates its estimates of average gas prices on a weekly basis. Assume the standard deviation is .24 for the price of a gallon of regular gasoline and recommend the appropriate sample size for the US EIA to use if they wish to report each of the following margins of error at confidence. Round up to the next whole number.
a. The desired margin of error is .11 The appropriate sample size is
.
b. The desired margin of error is .07 . The appropriate sample size is
.
c. The desired margin of error is .04. The appropriate sample size is
Answer:
3
Step-by-step explanation:
1 = 1
You might observe that the data has an awfully smooth pattern. If you were to view the scatterplot above at the daily level or the monthly level, the points in the scatter diagram would look a lot more messy. It looks a lot less messy because the data is the average CO2 over the entire year. What is the term for this phenomenon that we talked about?
Based on the fact that the data for the average CO₂ over the whole year was smoother than the daily and monthly level, the term for the phenomenon is called Smoothing.
How to define smoothing?Smoothing refers to a process in statistics where the messier points of a data distribution is removed. In other words, the data points that give the data set a varied distribution are removed so that the data set appears smoother.
There are several methods to engage in smoothing but most of them use averaging over a longer period of time. They would for instance, use the averages of a period over a month or weekly and convert it to an annual measure like the scatterplot of CO₂ for the year.
In conclusion, the fact that the average CO₂ scatterplot for the year was smoothly than monthly or daily is due to smoothing.
Find out more on smoothing at https://brainly.com/question/16914603
#SPJ1
what is the answer of that
40° is the value of the angle ∠QPR.
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the word "angle" originates. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation.So, PQ ⊥ PS then, ∠QPS = 90°.
According to the given figure: ∠QPR + ∠RPS = ∠QPS
Then,
7x - 9 + 4x + 22 = 9011x + 13 = 9011x = 90 - 1311x = 77x = 7So, ∠QPR = 7x - 9°
Substitute x = 7 as:
7(7) - 9°49 - 9°40°Therefore, 40° is the value of the angle ∠QPR.
Know more about angles here:
https://brainly.com/question/25770607
#SPJ9
Florence wants to invest money abroad. Florence is aware that France generally has a recession every 6 years and America generally has a recession every 8. in the year 2005, both France and America were in recession. Florence needs to work out the next time they will both be in recession. When will this be?
The most appropriate choice for LCM will be given by
After the year 2005, France and America will be in recession in the year 2029
What is LCM?
Suppose a and b are two numbers. LCM of a and b is the lowest common multiple of a and b. LCM of a and b is the lowest number that is divisible by both a and b.
Here,
France has a recession every 6 years.
America has a recession every 8 years.
Florence works out when France and America will both be in recession.
It will be possible in the year which is a common multiple of 6 and 8
In the year 2005, both France and America were in recession
France and America will both be in recession again after (LCM of 6 and 8) years
Now,
6 = 2 x 3
8 = 2 x 2 x 2
LCM of 6 and 8 = 2 x 2 x 2 x3
= 24
France and America will both be in recession again after 24 years
After the year 2005, France and America will be in recession in the year (2005 + 24) = 2029
To learn more about LCM, refer to the link:
brainly.com/question/16054958
#SPJ9
If UW = 4, what is the length of the radius of circle V?
the radius of of circle V is 2
Explanation:
XZ is the diameter of circle Y (bigger circle)
UW is the diameter of circle V (smaller circle)
We are to find the radius of the smaller circle. To find the radius, we use the formula relating diamter to radius:
Diameter = 2(radius)
UW = 4, diameter =4
4 = 2(radius)
radius = 4/2
radius = 2
Hence, the radius of of circle V is 2
PQ has a length of 17 units with P(-4,7). If the x- and y-coordinates of Q are both greater than the x- and y-coordinates of P, what are possible integer value coordinates of Q? Explain.
Let PQ be the hypotenuse of a right triangle that also has a horizontal leg and a vertical leg. The hypotenuse then has length 17, and a Pythagorean triple can be used to say the shorter leg has length
and the longer leg has length. If the shorter leg is horizontal, then Q is described by the ordered pair. If the shorter leg is vertical, then Q is described by the ordered pair
Step-by-step explanation:
a distance on a coordinate grid is always the Hypotenuse of a right-angled triangle with the differences of the x coordinates and the y coordinates as the legs.
so, per Pythagoras
distance² = (x diff)² + (y diff)²
we have here a distance 17. 17² = 289.
to get integer coordinates the lengths of the legs must be integer numbers.
what 2 squared integer numbers can be added to get 289 ?
I found after subtracting 4, 9, 16, 25, 36, 49 and finally 64 (the squares of 2, 3, 4, 5, 6, 7, 8) that
289 - 64 = 225, which is also a square number (15²).
so, we get the possible integer coordinates of Q to be
(-4 + 8, 7 + 15) = (4, 22)
in this case the shorter leg has the length 8, and the longer leg the length 15.
the shorter leg is in this case horizontal, because it is the x coordinate difference. and Q is again as described (4, 22).
if we make the shorter leg vertical, that means it is the y coordinate difference. and Q is then
(-4 + 15, 7 + 8) = (11, 15)
someone please help me!!!!
Answer:
First Choice:
(1.4)(0.18)²
Step-by-step explanation:
Using the negative exponent rule
[tex]\left(\dfrac{a}{b}\right)^{-1} = \dfrac{b}{a}[/tex]
we get
[tex]\left(\dfrac{5}{7}\right)^{-1} = \dfrac{7}{5}[/tex]
[tex]\dfrac{7}{5} = 1.4\\\\[/tex]
Therefore
[tex]\left(\dfrac{5}{7}\right)^{-1}\left(0.18\right)^2\\\\= (1.4)(0.18)^2[/tex]
Find the values of x and z
Rajiv puts $2400 in a savings account.
One year later it is worth $2580
Work out the annual rate of interest.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$2580\\ P=\textit{original amount deposited}\dotfill & \$2400\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 2580=2400[1+(\frac{r}{100})(1)] \implies \cfrac{2580}{2400}=1+\cfrac{r}{100}\implies \cfrac{43}{40}\implies \cfrac{100+r}{100} \\\\\\ \cfrac{4300}{40}=100+r\implies \cfrac{215}{2}=100+r\implies \cfrac{215}{2}-100=r\implies \boxed{\stackrel{\%}{7.5}=r}[/tex]
Answer:
7.5%
Step-by-step explanation:
Constructing a Confidence Interval for a Population Proportion
If n = 130 and p= 0.69, construct a 99% confidence interval.
The Confidence Interval for a Population Proportion is 0.69 ± 1.13
(-0.44 to 1.82)
Confidence Interval:
Confidence Interval means a range of values that is determined through the use of observed data, calculated at a desired confidence level that may contain the true value of the parameter being studied.
Given,
n = 130 and
p= 0.69,
construct a 99% confidence interval.
Here we need to find the confidence interval.
According to the formula, the confidence interval is,
We know that,
Sample Size: 130
Sample Mean: 0.69
Confidence Level: 99%
99% Confidence Interval: 0.69 ± 1.13
(-0.44 to 1.82)
"With 99% confidence the population mean is between -0.44 and 1.82, based on 130 samples."
Margin of Error: 1.13
(to more digits: 1.13)
To know more about Confidence Interval here.
https://brainly.com/question/13067956
#SPJ1
A rectangular dog pen is constructed using a barn wall as one side and 120m of fencing for the other three sides. a) give a sketch of the situation. b) express the area in terms of x. c) sketch the graph. d) find the value of x that gives the greatest area. e) find the dimensions of the pen. f) state the domain.
The solutions to the question are
The area of the pen in terms of x is A = x(120 - 2x)The x value that gives the highest area is 30The dimensions is 30 by 60The domain is 0 <= x <= 60a) How to determine the sketchThe given parameters are:
Sides = 3
Fourth side = barn wall
Perimeter = 120 m
Next, we sketch the dog pen using the above parameters (see attachment)
b) The area of the penHere, we have
P = 120m
Also, we have
P = 2x + y
This gives
2x + y = 120
Make y the subject
y = 120 - 2x
The area is calculated as
A = xy
So, we have
A = x(120 - 2x)
Hence, the area is A = x(120 - 2x)
The sketch of the graphSee attachment for the graph of A = x(120 - 2x)
The value of x that gives the greatest areaWe have
A = x(120 - 2x)
Expand
A = 120x - 2x^2
Differentiate
120 - 4x= 0
So, we have
4x = 120
This gives
x = 30
Hence, the value of x that gives maximum area is 30
The dimensions of the penRecall that
y = 120 - 2x
So, we have
y = 120 - 2 * 30
Evaluate
y = 60
Hence, the dimensions is 30 by 60
The domain of the functionFrom the graph, we have
x = 0 to 60
Hence, the domain of the function is 0 <= x <= 60
Read more about area at
https://brainly.com/question/13048427
#SPJ1
Write a piecewise function for the given graph.
The graphed piecewise function is conformed of two lines, it can be written as::
y = -x if x < -1y = x + 1 if x ≥ 1How to write the piecewise function?Notice that we have two lines that conform the piecewise function.
The linear equation in the left passes through the points (-8, 8) and (-1, 1), so the slope is:
m = (1 - 8)/(-1 + 8) = -7/7 = -1
Then it is something like:
y = -x + b
To find the value of b we use the point (-1, 1), we will get:
1 = -(-1) + b
1 - 1 = b
0 = b
Then the first line is:
y = -x if x < -1.
The second line passes through points (-1, -3) and (4, 2), then the slope is:
m = (2 + 3)/(4 + 1) = 1
And we can see that it intercepts the y-axis at y = -1, so the linear equation here is:
y = x - 1
Finally, the piecewise function is:
y = -x if x < -1y = x + 1 if x ≥ 1Learn more about piecewise functions:
https://brainly.com/question/3628123
#SPJ1
In August, a giant panda named Max was born at the Silver City Zoo. In September, Max weighed 3.04 pounds. Today, Max is weighed again and he is heavier than before. Now Max weighs 10.73 pounds.
The most appropriate choice for for linear equation will be given by -
Gain in weight of Max = 7.69 pounds
What is linear equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Let the gain in weight be x pounds
Weight of Max in the month of September = 3.04 pounds
Weight of Max today = 10.73 pounds
By the problem,
3.04 + x = 10.73
x = 10.73 - 3.04
x = 7.69
Gain in weight of Max = 7.69 pounds
To learn more about linear equation, refer to the link:
https://brainly.com/question/2030026
#SPJ9
12/4= x/5
can someone help me. i need a step-by-step answer!
Multiply both sides of the equation by 20, the lowest common denominator of 4,5.
5×12=4xMultiply 5 and 12 to get 60.
60=4xSwap the sides so that all the terms of the variables are on the left side.
4x=60Divide both sides by 4.
x = 60/4Divide 60 by 4 to get 15.
x=15hich is the equation of a line that has a slope of One-half and passes through point (2, –3)?
The equation of line passing that has a slope of One-half and passes through point (2, –3) is y = 0.5x - 4
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
The standard form for linear equation is:
y = mx + b
Where m is the slope and b is the y intercept
The equation of line passing that has a slope of One-half and passes through point (2, –3) is:
y - (-3) = (1/2)(x - 2)
y + 3 = 0.5x - 1
y = 0.5x - 4
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
[x+(1/3)] + [x+(1/5)] = 1, where [x] is the whole part of x.
[tex](x + \frac{1}{3} ) + (x + \frac{1}{5} ) = 1 \\ x + x + \frac{1}{3} + \frac{1}{5} = 1 \\ 2x(15) + \frac{1}{3} (15) + \frac{1}{5} (15) = 1(15) \\ 30x + 5 + 3 = 15 \\ 30x = 15 - 5 - 3 \\ 30x = 7 \\ \frac{30x}{30} = \frac{7}{30} \\ x = \frac{7}{30} [/tex]
ATTACHED IS THE SOLUTION