Answer:
Mass of other chemicals to be evaporated is 24 grams.
Step-by-step explanation:
The initial mass of the hand sanitizer = 400 grams, and has an alcohol content of 24%.
mass of its alcohol content = [tex]\frac{24}{100}[/tex] × 400
= 96 grams
mass of non-alcoholic content = 400 - 96
= 304 grams
If the percentage of alcohol is increased to 30%, then;
mass of its alcohol content = [tex]\frac{30}{100}[/tex] × 400
= 120 grams
The mass of other chemicals to be evaporated = 120 - 90
= 24 grams
R(3,3), S(-6,-6) , indicate in standard form the equation of the line passing through the given points
Answer:
x - y = 0
Step-by-step explanation:
We see that in both cases, y = x. The standard-form version of this equation is ...
x - y = 0
The following list shows how many brothers and sisters some students have: 3, 2, 3, 2, 1, 2, 1, 3, 4, 5, 4, 3, 1, 2 State the mode(s). I need anser?
Answer:
2 and 3
Step-by-step explanation:
Eric’s average income for the first 4 months of the year is $1,450.25, what must be his average income for the remaining 8 months so that his average income for the year is $1,780.75?
There are 18 students attending band camp, 4 girls and 14 boys. What is the
ratio of girls to boys at band camp?
Answer:
4:14 or 2:7
Step-by-step explanation:
there are 4 girls and 14 boys
the ratio is 4:14
correct me if this is wrong
Answer:
2/7
Step-by-step explanation:
two find the answer you need to reduce 4 and 14 into the lowest common denominator.
Please answer this correctly
Answer:
24 cm
Step-by-step explanation:
Assuming that the triangles are similar,
then the ratio of their sides must be the same.
in this case you are dealing with 2 longest sides and the 2 shortest sides.
We are asked to find the y (the length of the shortest side of the blue triangle)
because they are similar, we can form a ratio with their sides:
Purple Long Side / Blue Long Side = Purple Short Side / Purple Long side
100 / 80 = 30 / y
100y = (30)(80)
y = (30)(80) / 100
y = 24 cm
Answer:
y = 24
Step-by-step explanation:
Since these triangles are similar, you can set up a proportion like this:
[tex]\frac{100}{80} =\frac{30}{y}[/tex]
→Cross multiply:
[tex]\frac{100y}{2400}[/tex]
→Divide 2400 by 100:
y = 24
The average daily volume of a computer stock in 2011 was μ= 35 1 million shares, according to a reliable source. A stock analyst believes that the stock volume in 2014 is different from the 2011 level. Based on a random sample of 40 trading days in 2014, he finds the sample mean to be 25,1 million shares, with a standard deviation of s = 12 4 million shares. Test the hypotheses by constructing a 95% confidence interval. Complete parts (a) through (c) below.
a. State the hypotheses for the test.
b. Construct a 95% confidence interval about the sample mean of stocks traded in 2014
c. Will the researcher reject the null hypothesis?
A. Do not reject the null hypothesis because μ= 35 1 million shares falls in the confidence interval.
B. Reject the null hypothesis because μ= 35 1 million shares falls in the confidence interval.
C. Do not reject the null hypothesis because μ=35 1 million shares does not fall in the confidence interval.
D. Reject the null hypothesis because μ= 35 1 million shares does not fall in the confidence interval.
Answer:
a) The null and alternative hypothesis are:
[tex]H_0: \mu=35.1\\\\H_a:\mu< 35.1[/tex]
b) The 95% confidence interval for the mean stocks traded in 2014 in millions is (21.13, 29.07).
c) D. Reject the null hypothesis because μ= 35 1 million shares does not fall in the confidence interval.
Step-by-step explanation:
The claim is that 2014 stock volumes are significantly different from 2011 stock volumes (35.1 millions).
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=35.1\\\\H_a:\mu< 35.1[/tex]
We can test this by calculating a 95% confidence interval for the mean.
The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.
The sample mean is M=25.1.
The sample size is N=40.
When σ is not known, s divided by the square root of N is used as an estimate of σM:
[tex]s_M=\dfrac{s}{\sqrt{N}}=\dfrac{12.4}{\sqrt{40}}=\dfrac{12.4}{6.32}=1.961[/tex]
The degrees of freedom for this sample size are:
[tex]df=n-1=40-1=39[/tex]
The t-value for a 95% confidence interval and 39 degrees of freedom is t=2.023.
The margin of error (MOE) can be calculated as:
[tex]MOE=t\cdot s_M=2.023 \cdot 1.961=3.966[/tex]
Then, the lower and upper bounds of the confidence interval are:
[tex]LL=M-t \cdot s_M = 25.1-3.966=21.13\\\\UL=M+t \cdot s_M = 25.1+3.966=29.07[/tex]
The 95% confidence interval for the mean is (21.13, 29.07).
The value 35.1 is not included in the interval, so we can conclude that there is significant difference from the 2011 stock volume.
Which is the best solution that represents the equation x2=196
Answer:
-14, 14
Step-by-step explanation:
[tex] {x}^{2} = 196 \\ x = \pm \sqrt{196} \\ x = \pm \: 14 \\ x = 14 \: \: or \: \: x = - 14 \\ x = \{ - 14, \: \: 14 \}[/tex]
Answer:
[tex]x = 14[/tex]
x= -14
Step-by-step explanation:
[tex] {x}^{2} = 196 \\ x = \sqrt{196} \\ x = 14[/tex]
x= -14
To check whether the answer is correct,
[tex] {x}^{2} = 196 \\ [/tex]
[tex]x = 14[/tex]
[tex] {14}^{2} = 196 \\ 14 \times 14 = 196 \\ 196 = 196[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Two points A and B are on opposite sides of a building. A surveyor selects a third point to place a transit. Point C is 49 feet from point A and 71 feet from point B. The angle ACB is 45°. How far apart are points A and
B? Round your answer to the nearest tenth as needed.
O A 111.2 ft
O B. 99.5 ft
O c. 70.61
OD. 50.2 ft
Answer:
According to the Law of Cosines, the correct answer would be D) 50.2 feet
Does anyone know the answer to this?
Answer:
1.88
Step-by-step explanation:
From Trigonometry Identity;
Cos 20° = AC/ CB
AC = Cos 20° × CB
= Cos 20° × 2
= 1.879
= 1.88 ( to the nearest hundredth)
HELP ILL GIVE YOU BRAINLIEST IF YOUR RIGHT ‼️‼️‼️‼️
Answer:
first question: 36
second question: 5
Step-by-step explanation:
for the first question, the parentheses just mean you are multiplying. so it would be 2 x 3 x 6 which equals 36.
For the second question, you would add d and g together and e and f, then subtract the sum of e and f from the sum of d and g.
(2 + 12) - (3 + 6)
14 - 9 = 5
Step-by-step explanation:
d=2
e=3
f=6
g=12
therefore , (2)×(3)×(6)
=36
2. d=2
e=3
f=6
g=12
(d+g) - (e+f)
(2+12) - (3+6)
(14) -(9)
=5.
I need help ASAP thank you!!!!
Answer:
V = 175 yd^3
Step-by-step explanation:
V = B*h
The base is the area of the triangle
B = 1/2 (5*7) = 35/2
so
V = 35/2 * 10
V = 175 yd^3
Answer:
175 yd
Step-by-step explanation:
The volume of a triangular prism can be calculated by the area of the base times its height. The bases are always the odd shapes out, so here it is the triangles with the "height" being the distance between the two bases.
The area of the base here is [tex]\frac{5*7}{2}[/tex]=17.5.
Multiplying that by the "height" gives 17.5×10= 175 yards.
How do you do this question
Answer:
the answer for the question is 26√13/12
Find the value of the function sin 460
Answer:
Sin(460 radians)= .97054
sin(460 degrees)= 0.98480775301
Step-by-step explanation:
I'm not sure where you are from, but usually you are allowed to use a calculator. (At least I was when I took Algebra 2/Trig in 6th grade.)
You never specified radians or degrees so I will answer both.
sin(460 radians)= .97054
sin(460 degrees)= 0.98480775301
If you are not allowed to use a calc, then I suggest looking at unit circle videos on Khan Academy.
Tyler attempts 240 free throws in 60 minutes. How many free throws did he attempt per minute?
4
40
180
300
Answer:
its A aka 4
Step-by-step explanation:
This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint.
f(x, y, z) = x2 + y2 + z2; x4 + y4 + z4 = 7
Answer:
The maximum value is +√21 and the minimum value is -√21
Step-by-step explanation:
f(x,y,z) = x² + y² + z². Let g(x,y,z) = x⁴ + y⁴ + z⁴ - 7 = 0
Using Lagrange multipliers,
df/dx = λg/dx, df/dy = λg/dy. and df/dz = λg/dz
df/dx = 2x, df/dy = 2y, df/dz = 2z
dg/dx = 4x³, dg/dy = 4y³, dg/dz = 4z³
So, df/dx = λg/dx ⇒ 2x = 4λx³ (1)
df/dy = λg/dy ⇒ 2y = 4λy³ (2)
df/dz = λg/dz ⇒ 2z = 4λz³ (3)
From (1) 4λx³ - 2x = 0
2λx³ - x = 0
x(2λx² - 1) = 0
solving, x = 0 or (2λx² - 1) = 0 ⇒ 2λx² = 1 ⇒ x = ±1/√(2λ) since x ≠ 0
From (2) 4λy³ - 2y = 0
2λy³ - y = 0
y(2λy² - 1) = 0
solving, y = 0 or (2λy² - 1) = 0 ⇒ 2λy² = 1 ⇒ y = ±1/√(2λ) since y ≠ 0
From (3) 4λz³ - 2z = 0
2λz³ - z = 0
z(2λz² - 1) = 0
solving, z = 0 or (2λz² - 1) = 0 ⇒ 2λz² = 1 ⇒ z = ±1/√(2λ) since z ≠ 0
g(x,y,z) = x⁴ + y⁴ + z⁴ - 7 = 0
(1/√(2λ))⁴ + (1/√(2λ))⁴ + (1/√(2λ))⁴ - 7 = 0
3 (1/√(2λ))⁴ = 7
(1/√(2λ))⁴ = 7/3
1/√(2λ) = ⁴√7/3
√(2λ) = ⁴√3/7
2λ = √3/7
λ = 1/2(√3/7)
Since x = 1/√(2λ) = 1/√(2 [1/2(√3/7)]) = 1/⁴√3/7 = ±⁴√7/3
Also y = 1/√(2λ) = 1/√(2 [1/2(√3/7)]) = 1/⁴√3/7 = ±⁴√7/3
and z = 1/√(2λ) = 1/√(2 [1/2(√3/7)]) = 1/⁴√3/7 = ±⁴√7/3
Substituting x,y and z into f(x,y,z) we have
f(x,y,z) = (⁴√7/3)² + (⁴√7/3)² + (⁴√7/3)² = 3(⁴√7/3)² = 3(√7/3) = √(7 × 3) = ±√21
The maximum value is +√21 and the minimum value is -√21
What’s the correct answer for this?
Answer:
A.
Step-by-step Explanation:
P(A or B) = P(A)+P(B)-P(A and B)
Now
Putting the givens
0.68 = 0.2 + P(B) - 0.12
P(B) = 0.68 - 0.2 +0.12
P(B) = 0.6
4. Find the volume of the given solid bounded by the elliptic paraboloid z = 4 - x^2 - 4y^2, the cylinder x^2 + y^2 = 1 and the plane z = 0.
5. Sketch the region of integration and change the order of integration.
Answer:
2.5π units^3
Step-by-step explanation:
Solution:-
- We will evaluate the solid formed by a function defined as an elliptical paraboloid as follows:-
[tex]z = 4 - x^2 -4y^2[/tex]
- To sketch the elliptical paraboloid we need to know the two things first is the intersection point on the z-axis and the orientation of the paraboloid ( upward / downward cup ).
- To determine the intersection point on the z-axis. We will substitute the following x = y = 0 into the given function. We get:
[tex]z = 4 - 0 -4*0 = 4[/tex]
- The intersection point of surface is z = 4. To determine the orientation of the paraboloid we see the linear term in the equation. The independent coordinates ( x^2 and y^2 ) are non-linear while ( z ) is linear. Hence, the paraboloid is directed along the z-axis.
- To determine the cup upward or downwards we will look at the signs of both non-linear terms ( x^2 and y^2 ). Both non-linear terms are accompanied by the negative sign ( - ). Hence, the surface is cup downwards. The sketch is shown in the attachment.
- The boundary conditions are expressed in the form of a cylinder and a plane expressed as:
[tex]x^2 + y^2 = 1\\\\z = 4[/tex]
- To cylinder is basically an extension of the circle that lies in the ( x - y ) plane out to the missing coordinate direction. Hence, the circle ( x^2 + y^2 = 1 ) of radius = 1 unit is extended along the z - axis ( coordinate missing in the equation ).
- The cylinder bounds the paraboloid in the x-y plane and the plane z = 0 and the intersection coordinate z = 4 of the paraboloid bounds the required solid in the z-direction. ( See the complete sketch in the attachment )
- To determine the volume of solid defined by the elliptical paraboloid bounded by a cylinder and plane we will employ the use of tripple integrals.
- We will first integrate the solid in 3-dimension along the z-direction. With limits: ( z = 0 , [tex]z = 4 - x^2 -4y^2[/tex] ). Then we will integrate the projection of the solid on the x-y plane bounded by a circle ( cylinder ) along the y-direction. With limits: ( [tex]y = - \sqrt{1 - x^2}[/tex] , [tex]y = \sqrt{1 - x^2}[/tex] ). Finally evaluate along the x-direction represented by a 1-dimensional line with end points ( -1 , 1 ).
- We set up our integral as follows:
[tex]V_s = \int\int\int {} \, dz.dy.dx[/tex]
- Integrate with respect to ( dz ) with limits: ( z = 0 , [tex]z = 4 - x^2 -4y^2[/tex] ):
[tex]V_s = \int\int [ {4 - x^2 - 4y^2} ] \, dy.dx[/tex]
- Integrate with respect to ( dy ) with limits: ( [tex]y = - \sqrt{1 - x^2}[/tex] , [tex]y = \sqrt{1 - x^2}[/tex] )
[tex]V_s = \int [ {4y - x^2.y - \frac{4}{3} y^3} ] \, | .dx\\\\V_s = \int [ {8\sqrt{( 1 - x^2 )} - 2x^2*\sqrt{( 1 - x^2 )} - \frac{8}{3} ( 1 - x^2 )^\frac{3}{2} } ] . dx[/tex]
- Integrate with respect to ( dx ) with limits: ( -1 , 1 )
[tex]V_s = [ 4. ( arcsin ( x ) + x\sqrt{1 - x^2} ) - \frac{arcsin ( x ) - 2x ( 1 -x^2 )^\frac{3}{2} + x\sqrt{1 - x^2} }{2} - \frac{ 3*arcsin ( x ) + 2x ( 1 -x^2 )^\frac{3}{2} + 3x\sqrt{1 - x^2} }{3} ] | \limits^1_-_1\\\\V_s = [ \frac{5}{2} *arcsin ( x ) + \frac{5}{3}*x ( 1 -x^2 )^\frac{3}{2} + \frac{5}{2} *x\sqrt{1 - x^2} ) ] | \limits^1_-_1\\\\V_s = [ \frac{5\pi }{2} + 0 + 0 ] \\\\V_s = \frac{5\pi }{2}[/tex]
Answer: The volume of the solid bounded by the curves is ( 5π/2 ) units^3.
Dilate the point B(-4,5) by a scale factor of 3 with the center at the origin.
Identify the coordinates of the pre-image.
B(-4,5)
Identify the scale factor.
Scale factor: n = 3
Multiply the scale factor by each coordinate
the pre-image to find the coordinates of the image.
B'(3(-4), 3(5))
The image point B' has coordinates B ( , )
Answer:(-12,15)
Step-by-step explanation:
My Instagram: kxng_V2
What’s the correct answer for this? Select all the ones that apply
Answer:
B and D
Step-by-step explanation:
<JKB = <FGC (SINCE BITH THEIR BISECTORS BISECT THEM MAKING A 90° ANGLE)
AND
<BKL = 90° (BECAUSE OF THE BISECTOR)
Answer:
B and D
Step-by-step explanation:
B and D
Solve for x.
(2x+2)(3x+5)
Answer:
x = -1 x = -5/3
Step-by-step explanation:
Assuming we want the zeros
(2x+2) (3x+5) =0
Using the zero product property
2x+2 = 0 3x+5 =0
2x = -2 3x = -5
x = -2/2 x = -5/3
x = -1 x = -5/3
Answer:
x=-1, or -5/3
Step-by-step explanation:
When you add (2x+2)(3x+5)=0, it becomes a equation that you can solve for. I would advise you to separate both the parts of the equation so it becomes (2x+3)=0 and (3x+5)= 0 and that's how you can subract and divide easier in order to get the solutions. Hope this helps!!
what is one and two thirds divided by four fifths
Answer:
2 and 1/12
Step-by-step explanation:
pls mrk brainliest
Answer: 25/12
Step-by-step explanation: One and two thirds is equal to 5/3, so now all you have to do is divide 5/3 by 4/5. To divide fractions you multiply the first fraction to the reciprocal of the second fraction. The reciprocal simply means to switch the numerator with the denominator. Multiply 5/3 by 5/4. To multiply fractions you need to multiply straight across. 5 times 5 is 25 and 3 times 4 is 12, so the answer is 25/12.
Find the distance between the two points rounding to the nearest tenth (if necessary).
(2, -8) and (5, -6)
Answer:
Submit Answer
attempt 1 out of 2
Approximately 3.6
:) Hope this helps
the number of terms in AP-11,-8,-5......is
Step-by-step explanation:
If you look care fully from that number -11 he plused 3 to every number .
-11+3=-8
-8+3=-5
-5+3=-2
From the topic of sequence and series
nevermind...
what is the domain?
(-infinity,infinity) -answer
(-infinity, 4)
(-4, 4)
(0, 4)
What is the range?
(-infinity, infinity)
(-infinity, 4) -answer
(-4, 4)
(0, 4)
Answer:
its A for the domain and B for the range
domain: (-infinity,infinity) Range: (-infinity,4]
Step-by-step explanation:
Answer:
its 3
Step-by-step explanation:
Line k has an equation of y = -2x - 6. Perpendicular to line k is line I, which passes through
the point (3, 6). What is the equation of line l?
Write the equation in slope-intercept form. Write the numbers in the equation as proper
fractions, improper fractions, or integers.
Answer:
y = x/2 +9/2
Step-by-step explanation:
y = -2x - 6.
The equation of the line perpendicular to the above equation has a slope 1/2
The equation of a slope is
y2-y1/x2-x1 = 1/2
To form an equation of the line we chose a point that lies on the graph which is perpendicular to y = -2x - 6 and an arbitrary point (x,y)
A point is given us already and that point is (3, 6).
Tie all together to compute the slope we have;
y-6/x-3 = 1/2
2(y-6) = x-3
2y-12= x-3
2y = x-3+12
2y= x+9
Dividing through by 2 we have
y = x/2 +9/2
y = x/2 + 4.5
The required equation is 2x-y =0, interception point is (0,0) and the equation is in integers.
What is slope ?Slope is a notation that shows that a surface of which one end or side is at a higher level than another surface.
The equation of a line which passes through point (x₁, y₁) with slope m can be given by,
y - y₁ = m(x - x₁)
The given equation of line k is y= -2x-6 (1).
The slope of line k = -2.
Since, line l is perpendicular to line k,
Slope of line l = 2
Line l passes through the point (3,6), therefore, the equation of line l,
y-6= 2(x-3)
⇒2x-y =0 (2)
To find interception point of slope of line l,
Substitute y=0, in equation (2) ,
x intercept = 0
Substitute x=0, in equation (2),
y intercept = 0
The equation is 2x-y =0, and it is in integer form.
To know more about Slope on :
https://brainly.com/question/16180119
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An oblique cone has a height equal to the diameter of the base. The volume of the cone is equal to 18π cubic units. An oblique cone has a diameter of 2 x and a height of 2 x. The volume of the cone is 18 pi cubic units. What is the radius of the cone? 2 units 3 units 6 units 9 units
Answer:
3 units
Step-by-step explanation:
The formula for the volume of the cone is given by
[tex]V=\frac{1}{3} \pi r^{2}h[/tex]
[tex]V=18\pi\ unit^{3} \\\\ r=\frac{2x}{2} =x\ units \\ \\ h=2x\ units[/tex]
Substituting in above formula
[tex]18\pi=\frac{1}{3} \pi*x^{2}*2x\\ \\ 54=2x^{3} \\ \\ x^{3} =27\\ \\ x=\sqrt[3]{27} \\ \\ x=3\ units[/tex]
Thus, the radius of the cone is 3 units.
Some couples planning a new family would prefer at least one child of each sex. The probability that a couple’s first child is a boy is 0.512. In the absence of technological intervention, the probability that their second child is a boy is independent of the sex of their first child, and so remains 0.512. Imagine that you are helping a new couple with their planning. If the couple plans to have only two children:
(a) What is the probability of getting one child of each sex? [5]
(b) What is the probability that at least one girl is born? [5]
(c) What is the probability that at least one boy is born? [5] and
(d) What is the probability that both children are the same sex? [5]
Answer: .250
Step-by-step explanation:
Simplify.
Rewrite the expression in the form y^n
y^-4•y^3
Answer:
[tex]y^{-1}[/tex]
Step-by-step explanation:
This question is asking us to rewrite the original expression it in the form [tex]y^n[/tex]
First we have
[tex](y^{-4} )y^3[/tex]
By the law of exponents we know that when we are multiplying expressions that have the same base, we need to add up the exponents.
Thus, this would mean that, in order to multiply this expression, we need to sum up the exponents so we have:
[tex]-4+3=-1[/tex]
Thus, this expression can be rewritten as:
[tex](y^{-4} )y^3=y^{-4+3} =y^{-1}[/tex]
I need help I think I have the but I might be wrong
Answer:
D
Step-by-step explanation:
3 to 7 is about 4.
A mixture of gases consists of N2, O2, H2 and F2. The total pressure of the mixture is 511.56 kPa. The pressure of the N2 is 584 mm Hg, the pressure of the O2 is 196 kPa and the pressure of the H2 is standard pressure. What is the pressure of the F2 (in mm Hg)?
Answer:
Step-by-step explanation:
The total pressure of a gas is the sum of the partial pressures of the gases that it consists of. It means that
N2 + O2 + H2 + F2 = pressure of mixture
1 kpa = 7.50061683 mmhg
The total pressure of the mixture is 511.56 kPa. Converting to mmHg, it becomes
511.56 × 7.50061683 = 3837.02 mmhg
The pressure of the O2 is 196 kPa. Converting to mmhg, it becomes
196 × 7.50061683 = 1470.12 mmhg
Since the the pressure of the H2 is standard pressure, it means that the pressure is 760 mmhg
Also, pressure of the N2 is 584 mm Hg
Therefore,
1470.12 + 760 + 584 + F2 = 3837.02
2814.12 + F2 = 3837.02
F2 = 3837.02 - 2814.12
F2 = 1022.9 mm Hg
