Answer:
1) The student didn't add copper sulfate but instead he added calcium carbonate.
2) The heated solution should be left to get bigger crystals and should not be instantly allowed to evaporate.
3) He should use copper carbonate not calcium carbonate.
4) Sulfuric acid was added instead of hydrochloric acid.
5) Add solid excessively so that all of the acid is retained.
6) Filter the solution to remove unreacted solid.
7) Heat gently, so the crystals will start to appear.
The reactants in this reaction ought to have been copper carbonate and sulfuric acid.
The student is trying to carry out a reaction that would produce copper sulfate using two starting materials. The process is also expected to involve the evolution if a gas. However the process failed to produce the desired product. The following adjustments should be made to the process;
The student should use copper carbonate instead of calcium carbonate The student should use sulfuric acid instead of hydrochloric acid.If these two adjustments are made, the equation of the reaction occurs as follows; CuCO3(s) + H2SO(aq) → CuSO4(aq) + CO2(g) + H2O(l).
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A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 47.0 and 52.0 minutes. Find the probability that a given class period runs between 50.25 and 51.0 minutes.
Answer:
0.15 or 15%
Step-by-step explanation:
Since lengths are uniformly distributed, the probability that a class period runs between a two exact times is:
[tex]P(x_1\leq x \leq x_2)=\frac{x_2-x_1}{b-a}[/tex]
In this case, a = 47.0 and b = 52.0 minutes.
The probability that a given class period runs between 50.25 and 51.0 minutes is:
[tex]P(50.25\leq x \leq 51.0)=\frac{51.0-50.25}{52-47} \\P(50.25\leq x \leq 51.0)=0.15=15\%[/tex]
The probability is 0.15 or 15%.
Solve for x. The triangles are similar
Answer:
X=4
Step-by-step explanation:
12x-3=45
12x. =45+3
12x. =48
X=4
The value of x is 10, given that the two triangles are similar to each other.
What is the relation between the sides of two similar triangles?The corresponding sides of a pair of similar triangles are in proportion.
This can be shown like this:
If Δ ABC ~ Δ XYZ, that is, triangle ABC is similar to triangle XYZ, we can write that,
AB/XY = BC/YZ = CA/ZX.
How to solve the question?In the question, we are asked to find the value of x, given that triangle SER is similar to triangle GEF.
∴ Δ SER ~ Δ GEF.
By properties of similar triangles, we can write that:
SE/GE = ΔER/EF = RS/FG,
or, 45/(12x - 3) = 55/143 = RS/FG.
We can use the first two parts of the relation, to form an equation in x, and solve for it.
∴ 45/(12x - 3) = 55/143
or, 12x - 3 = (45 * 143)/55 = 117
or, 12x = 117 + 3 = 120
or, x = 120/12 = 10.
∴ The value of x is 10, given that the two triangles are similar to each other.
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The two containers are mathematically similar in shape. The larger container has a volume of 3456cm3 and a surface area of 1024cm2. The smaller container has a volume of 1458cm3. Calculate the surface area of the smaller container.
Answer:
1458/3456 = 27/64 (simplification)
cube root of 27/64 = 3/4
square of 3/4 = 9/16
9/16 multplied by 1024 = 576.
THIS IS THE REAL WORKING AND ANSWER
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The surface area of the smaller container is 576 cm²
What is similarity in solids?Two shapes or solids are similar if their corresponding sides are in the same proportion and their corresponding angles are equal.
Given that, The two containers are mathematically similar in shape, the larger container has a volume of 3456 cm³ and a surface area of 1024 cm². The smaller container has a volume of, 1458 cm³.
We know, that the cube of scale factor is equal to ratio of volumes of given shape and ratio of surface area is equal to square of scale factor.
1458/3456 = 27/64
∛27/64 = 3/4
Therefore, the scale factor = 3/4
(3/4)² = 9/16
9/16x1024 = 576.
Hence, The surface area of the smaller container is 576 cm²
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The sum of two numbers is 26. The sum of their squares is a minimum. Find the numbers.
Answer:
The numbers at 13 and 13
Step-by-step explanation:
The two numbers in question are equal, and if their sum is 26, then they must be 13 and 13.
The two numbers are (13, 13).
Given that,
The sum of the two numbers is 26.
And the sum of their square is minimum.
We have to determine,
The two numbers are.
According to the question,
Let, the first number be x,
and the second number be y.
The sum of the two numbers is 26.
[tex]x + y = 26[/tex]
And The sum of their squares is a minimum.
[tex]x^2 + y^2 = h[/tex]
Solving both the equation,
[tex]x + y = 26\\\\x = 26-y[/tex]
Substitute the value of x in equation 2,
[tex]x^2 + y^2 = h\\\\(y-26)^2 + y^2 = h \\\\y^2 + 676 -52y + y^2 = h\\\\2y^2 -52y + (676-h) = 0[/tex]
Then, The vertex of the parabola is,
[tex]\dfrac{-b}{2a} = \dfrac{-(-52)}{2(2)} = \dfrac{52}{4} = 13[/tex]
The minimum value of the parabola is 13, which is also the sum of squares.
Therefore, The two number is x = 13 and y =13.
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Jada solved the equation Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction for x using the steps below. What was Jada's error?
Answer:
Jada should have multiplied both sides of the equation by 108.
Step-by-step explanation:
The question is incomplete. Find the complete question in the comment section.
Given the equation -4/9 = x/108, in order to determine Jada's error, we need to solve in our own way as shown:
Step 1: Multiply both sides of the equation by -9/4 as shown:
-4/9 × -9/4 = x/108 × -9/4
-36/-36 = -9x/432
1 = -9x/432
1 = -x/48
Cross multiplying
48 = -x
x = -48
It can also be solved like this:
Given -4/9 = x/108
Multiply both sides by 108 to have:
-4/9 * 108 = x/108 * 108
-4/9 * 108 = 108x/108
-432/9 = x
x = -48
Jada should have simply follow the second calculation by multiplying both sides of the equation by 108 as shown.
Answer: A
Step-by-step explanation: Took the test
Ardem has two lights one flashes every 15 seconds the other flashes every 42 seconds. They start flashing at the same time. After how many seconds will they next flash at the same time??
Answer: After 210 seconds they with next flash at the same time.
Step-by-step explanation:
Given: Ardem has two lights.
One flashes every 15 seconds the other flashes every 42 seconds.
If they started flashing at the same time, then the number of seconds after that they with next flash at the same time = LCM (15, 42) [LCM - Least common multiple]
Prime factorization of 15 = 3 x 5
Prime factorization of 42 = 2 x 3 x 7
Then, LCM (15, 42) = 2 x 3 x 5 x 7 = 210
i.e. After 210 seconds they with next flash at the same time.
The table represents the average daily price of a two-bedroom beachfront condo each month, with January represented as month 1, February as month 2, and so on. Month (x) Daily Rental Price (y) 1 $154 2 $205 3 $266 4 $358 5 $403 6 $425 7 $437 8 $430 9 $381 10 $285 11 $211 12 $195 Use the graphing tool to determine the curve of best fit for this data. Write the equation of the curve in the space below.
Answer:
y = - 9.1768x2 + 122.2567x + 14.9091
Step-by-step explanation:
Given the following :
Month (x) Daily Rental Price (y) 1 $154 2 $205 3 $266 4 $358 5 $403 6 $425 7 $437 8 $430 9 $381 10 $285 11 $211 12 $195
Using the online regression equation graphing tool ; The quadratic model obtained in the form,
y = Ax^2 + Bx + C is :
y = - 9.1768x2 + 122.2567x + 14.9091
Attached below is a picture of the quadratic regression curve.
If f(x) is differentiable for the closed interval [-1, 4] such that f(-1) = -3 and f(4) = 12, then there exists a value c, -1 < c < 4 such that: A) f'(c) = 3 B) f'(c) = 0 C) f(c) = -15 D) f(c) = 3
Answer:
A) f'(c) = 3
Step-by-step explanation:
The mean value theorem says that if f(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists some c such that ...
a < c < b
f'(c) = (f(b) -f(a))/(b -a)
__
We are told that f(x) is differentiable on the closed interval [-1, 4], so we know it meets the requirements of the mean value theorem. Then we can conclude that there is some c such that ...
f'(c) = (12 -(-3))/(4 -(-1)) = 15/5
f'(c) = 3 . . . . for some c in the interval -1 < c < 4
Find the perimeter of ΔABC
How many terminal zeros does the integer equal to 80^16*75^8 have? PLZ HURRY DOING A TEST
Answer:
24 terminal zeros
Step-by-step explanation:
Here, we want to know the number of terminal zeros that the product if the integers above has
Terminal zeros refer to the zeros at the right of the last non zero digits
The product we are dealing with is;
80^16 * 75^8
80^16 itself has 16 terminal zeros
while 75^8 should have 8 terminal zeros
So the total number of expected terminal zeros is simply the addition of both terminal zeros and that gives 16 + 8 = 24 terminal zeros
Answer:
24
Step-by-step explanation:
what is the sum of the values of x that are solutions to the equation x^2 - 10x - 22 = 2 ? a. -12 b. -10 c. -2 d. 2 e. 10
Answer:
[tex]x = 2, 12[/tex]
Your correct answer is D, since I don't see a -12.
Step 1: Subtracting 2 from both sides
Since we have to find the value of x, we have to factor the equation. To do so, we first have to subtract the two from both sides of the equation so all the values are on one side of the equation.
[tex]x^2-10x-22(-2)=2(-2)\\x^2-10x-24=0[/tex]
Step 2: Factoring the equation
Part 1
After subtracting 2 from both sides of the equation, we have to factor the polynomial to be able to get it into two sets of parentheses, so in order to do that, we will ignore the equal sign and the 0 for now. We are now left with:
[tex]x^2-10x-24\\[/tex]
First, we find the multiples of the first term, [tex]x^2\\[/tex], and the last term, -24. Since there is an invisible 1 before the first term, we are basically finding the multiples of [tex]1x^2[/tex], which is [tex]1x[/tex] and [tex]1x[/tex], or x and x. Now we have to find the correct set of numbers for -24. Do do that, we have to make sure that when we multiply the first set of numbers (x, x) with the second set (?, ?) and add them together, then we would get the number in the middle (-10x). So: Two of the most obvious multiples for 24 are 6 and 4, 12 and 2, and 3 and 8. But, this is a negative 24, so we have to work ahead to find out which pair we use first. If we multiply 8 and 3 with x and x, we get 8x and 3x. When we add them together, we do not get 10x, but instead, we get 11x, so it is the wrong pair. If we do the same thing to 6 and 4, we would get 10x, but since 24 is negative, it is not correct because we would need one of the numbers to be negative. In this case, they equal to 10x, but one of the numbers would have to be negative because (if 6 was the negative):
[tex]-6 * 4=-24\\[/tex]
But:
[tex]4-6\neq 10\\[/tex]
So this is not the correct set either. Our last set is 12 and 2, and when we multiply by x (12x and 2x) and we set one of the numbers to be a negative (-12) and subtract them, we get -10x, so, therefore, this is the correct number pair.
[tex]-12*2=-24\\2-12=-10[/tex]
Part 2
With all that done, we now have to factor the numbers. We take the first numbers (x and x), and we place them in front of each of the two parentheses.
[tex](x,?)(x,?)[/tex]
Now, we place -12 and 2 in those places.
[tex](x,-12)(x,2)[/tex]
To find x, we have to plug in the equal sign and 0 from the beginning.
[tex](x,-12)(x,2)=0[/tex]
Since they both have to equal to 0, then that means there would be two different answers because, for example: 12 - 12 = 0, but 12 - 2 ≠ 0.
To find both solutions, we treat the numbers in each of the parentheses as its own equation, and we solve it from there.
x - 12 = 0
12 - 12 = 0
x - 2 = 0
2 - 2 = 0
12 and 2 are our solutions! Hope this helps :)
Answer:
12 and 2
Step-by-step explanation:
factor the euqation x^2-10x-22=2 and you get (x,-12)(x,2)=0 and when you solve that you get 12 and 2
Help with math pls...
Answer: Option C
Step-by-step explanation: When we count all bases of the squares present
in the triangle,( do not count the number of boxes just the base of the squares) we notice that all of them covers 4 base of the squares, except option c where it covers 5 bases.
Two points A (-2, 9) and B (4, 8) lie on a line l.Find the distance between points A and B.
Answer:
[tex]\sqrt{37}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A(- 2, 9) and (x₂, y₂ ) = B(4, 8)
d = [tex]\sqrt{(4+2)^2+(8-9)^1}[/tex]
= [tex]\sqrt{6^2+(-1)^2}[/tex]
= [tex]\sqrt{36+1}[/tex]
= [tex]\sqrt{37}[/tex] ≈ 6.1 ( to 1 dec. place )
What do I do next help
Answer:
20
Step-by-step explanation:
y = 35x + c
Put x as 1, and y as 55.
55 = 35(1) + c
55 - 35 = c
20 = c
A train travelled from Dhaka to Darshana. The train took 5 hours and 30 minutes. The train travelled a distance of 327 kilometres. Work out the average speed of the train. Give your answer in kilometres per hour correct to the nearest whole number.
Answer:
59 kph
Step-by-step explanation:
The train goes 327 in 5 and 1/2 hours
So we do 327 / 5.5 = 59.49.....
Then we round down to get:
59 kpm
hey mate answer te question please
Answer:
7 [tex]\frac{37}{55}[/tex]
Step-by-step explanation:
In order to solve an equation like this, you'll need to find a common denominator for your Fraction.
7 [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{11}[/tex]
7 [tex]\frac{22}{55}[/tex] + [tex]\frac{15}{55}[/tex]
7 [tex]\frac{37}{55}[/tex]
Adita has two options for how to invest $1,000. Plan A: Put the $1,000 in an account that pays $100 per year. Plan B: Put the $1,000 in an account that pays 5 percent interest per year. Which statement is true? Plan A will be worth more than plan B after two years. Plan A will be worth the same amount as plan B after one year. Plan B will be worth more than plan A after three years. Plan B will be worth more than plan A after four years.
Answer:
Plan A = 1000 dollars to be invested in an account that pays 100 dollars per year. (1000 + 100 = 1100 dollars in a year)
Plab B = 1000 dollars to be invested in an account that pays 5% interests per year (1000 * .05 = 50 => 1000 + 50 = 1050 dollars per year)
The correct answer is Plan A will be worth more than plan B after two years.
Step-by-step explanation:
Plan A = 1000 dollars to be invested in an account that pays 100 dollars per year. (1000 + 100 = 1100 dollars in a year)
Plab B = 1000 dollars to be invested in an account that pays 5% interests per year (1000 * .05 = 50 => 1000 + 50 = 1050 dollars per year)
Plan A will be worth more than plan B after two years.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Now, WE get;
For Plan A,
1000 dollars to be invested in an account that pays 100 dollars per year.
Hence, We get;
(1000 + 100 = 1100 dollars in a year
For Plan B;
1000 dollars to be invested in an account that pays 5% interests per year
So, WE get;
(1000 x 0.05 = 50
Hence, Total in a year,
= 1000 + 50
= 1050 dollars per year)
Thus, the correct answer is,
⇒ Plan A will be worth more than plan B after two years.
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Write the equation of a circle with a center at (-2, 1) and passes through
the point (0, 2).
Answer:
[tex](x+2)^2} +(y-1)^2}=5[/tex]
Step-by-step explanation:
[tex](x-h)^2} +(y-k)^2}=r^2[/tex]
r=[tex]\sqrt{5}[/tex]
h=-2
k=1
Plug in
[tex](x+2)^2} +(y-1)^2}=5[/tex]
Please answer this in two minutes
Answer:
D. 1800°
Step-by-step explanation:
The given polygon has 12 sides.
The formula for finding the sum of the interior angles of an n-sided polygon is given as, ( n − 2 ) × 180.
Where n is the number of sides of the polygon.
Thus, the sum of the interior angles of the 12 sided polygon given above is:
(12 - 2) × 180
= 10 × 180 = 1800°
Sum of the measures of the interior angles of the 12-sided polygon is D. 1800°
Check all that apply please!
Answer:
C. Scalene
F. Obtuse
Step-by-step explanation:
The triangle is scalene because all 3 sides are different lengths.
The triangle is obtuse because 1 angle is bigger than 90° (132°).
Answer:
scalene
obtuse
Step-by-step explanation:
All the sides are different length, so it is a scalene triangle
The 132 degree angle is greater than 90 degrees and less than 180 so it is obtuse
Which expression will help you find the area of the triangular bases?
Answer:
C
Step-by-step explanation:
1÷2×8×3=12
Answer:
The two sides of the triangle are equal so by the property that : If opposite sides of a triangle are equal then the opposite angles are also equal .
Area of triangle = 1/2 multiplied by base and also multiplied by height
A =1/2*b*h
So, we can conclude that the opposite angles are 90 + 90 degrees = 180 degrees (as the angles are equal)
Therefore, c)1/2 *8*3 is right
I need some help on this
Answer: The answer is B
Step-by-step explanation:
Answer:
Option B is correct
Step-by-step explanation:
cos (3pi/4) = -cos(pi - 3pi/4) = -cos(pi/4) = -sqrt(2)/2
=> Option B is correct
What is the sum of the exterior angles of a
14-gon?
Answer:
360 degrees
Step-by-step explanation:
The sum of all exterior angles in any convex polygon is 360 degrees.
Answer:
360 degrees.
Step-by-step explanation:
The sum of exterior angles of every polygon is 360 degrees so the What is the sum of the exterior angles of a 14-gon is also equal to 360 degrees.
If sine theta almost-equals 0.3090 , what is the approximate value of csc Theta
Answer:
Approximately 3.2362.
Step-by-step explanation:
Recall that definition of cosecant and sine:
[tex]\displaystyle \sin(\theta) = \frac{1}{ \csc(\theta) }\text{ and } \csc(\theta)=\frac{1}{\sin(\theta)}[/tex]
Since we are given that sin(θ) ≈ 0.3090, this means that cosecant will be:
[tex]\displaystyle \csc(\theta)\approx \frac{1}{0.3090} = 3.2362[/tex]
Answer:
3.236
Step-by-step explanation:
csc=1/sinФ
csc=1/0.3090= 3.236
RE
AINING: -
48:41
Question 40 of 50
Find the equation of the straight line that passes through
(2,-3) and perpendicular to the line 3x-2y+4=0
A. 2y-3x=0
B. 3y-2x+5=0
C. 3y+2x+5=0
D. 2y-3x-5=0
Question 41 of 50
Answer:
C
Step-by-step explanation:
We start with the second line;
3x -2y + 4 = 0
3x + 4 = 2y
divide through by 2
3x/2 + 2 = y
Comparing this with standard form of y = mx + c
where m is slope
This means 3/2 is slope of the line
Since this line is perpendicular to the other line, then the product of their slopes is -1
3/2 * slope of second line = -1
Slope of second line = -1 divided by 3/2 = -2/3
We use the point slope form to find the equation of the other line
y-y1 = m(x-x1)
where m = -2/3 and (x1,y1) = (2,-3)
y-(-3) = -2/3 (x-2)
y + 3 = -2/3 (x -2)
3(y + 3) = -2(x-2)
3y + 9 = -2x + 4
3y + 5 = -2x
3y + 2x + 5 = 0
can someone please help me? ASAP
Answer:
A
Step-by-step explanation:
3^5 x 3^4
=3^5 + 4
=3^9
so the answer is option A
In an arena, each row has 199 seats. One day, 1990 students are coming to attend a soccer match. It is only known that at most 39 students are from the same school. If students from the same school must sit in the same row, determine the minimum number of rows that must be reserved for these students.
Answer: 10 rows
Step-by-step explanation:
Given:
Seats on each row = 199.
Population of student attending = 1990.
no of students from same school = 39.
Therefore;
If the students from same school must seat in same row determine the number of rows that most be reserved for these students.
1. At most 39 students from same school
= total population of all students/ students from same school
= 1990 / 39
= 51 schools would be attending the event
2. No of students a row can accommodate
= Seats on each row / no of students from each school
= 199/39
= 5
3. No of rows to that most be reserved
= 51 / 5
= 10
So 10 rows must be reserved.
What is the value of x in the equation -x - y = 30, when y = 15?
O 8
80
0 200
Answer:
x = -45.
Step-by-step explanation:
-x - y = 30
-x - 15 = 30
x + 15 = -30
x = -45
To check we are correct...
-(-45) - y = 30
45 - y = 30
-45 + y = -30
y = 15
So, x = -45.
Hope this helps!
Answer:
x = -45
Step-by-step explanation:
-x - y = 30
Let y = 15
-x - 15 = 30
Add 15 to each side
-x-15+15 = 30+15
-x = 45
Multiply each side by -1
x = -45
A shop keeper has offered an item for sale. Its label price is Rs . It is not sold in one-month period and after one month its label price is reduced by 20%. Again after 2 months its reduced price is further reduced by 10% and then sold it for Rs 15000. Find the value of x
Answer:
x = Rs 20,833.33
the value of x is Rs 20,833.33
Step-by-step explanation:
Let x,y and z represent the price of the item initially, after one month and after two months respectively.
Given that;
after one month its label price is reduced by 20%
y = x - 20% of x
y = x - 0.20x
y = 0.80x ........1
after 2 months its reduced price is further reduced by 10% and then sold it for Rs 15000.
z = y - 10% of y
z = y - 0.10y
z = 0.90y ........2
Substituting equation 1 into 2;
z = 0.90(0.80x)
z = 0.72x
Also z = Rs 15000
So,
z = 0.72x = Rs 15000
0.72x = Rs 15000
x = Rs 15000/0.72
x = Rs 20833.33333333
x = Rs 20,833.33
the value of x is Rs 20,833.33
Can any one please help me I really need help please help me please help me thank you
Answer:
Step-by-step explanation:
a) 500,000+300,000+150000+80000+0.02x+0.03x+0.08x=1030000+0.13x
b)1030000*(0.13*200)=26780000
there are two different power : power and exponent
exponent : 5⋅5⋅5=5^3
power 4^2 it is read as 4 to the second power or 4 squared 4 ∙ 4
"Like terms" are terms whose variables are the same example : x,7x,2x tey all have the same variable x
i hope it helps