Answer: 24
Step-by-step explanation: he needs at least 24 hours and he will make 204 dollars.
y=-1/14x+33/14 in standard form
Answer:
Step-by-step explanation:
1) Find the LCD and multiply what is missing: LCD (x)(14)
-1x/14x + 33/14x
2) Get rid of the denominators
-1x+33
-x+33
That should be right! Sorry if it isn't!
Find the unit vectors that are parallel to the tangent line to the curve y = 2 sin(x) at the point 6 , 1 .
[1/2, sqrt(3)/2] and [-1/2, -sqrt(3)/2] are the unit vectors that are parallel to the tangent line to the curve.
Explain what a unit vector is?
A quantity with both magnitude and direction is referred to as a vector. A unit vector is one with a magnitude of 1. It also goes by the name Direction Vector.y=2sin(x)
dy/dx equals 2 cos x at pi/6 for x.
pi/6 = 2 cos pi/6 = 2 sqrt(3)/2 = sqrt = dy/dx(pi/6) (3)
the line sqrt(3) (x-pi/6) is the tangent to y at pi/6.
Atan Theta = sqrt is the angle with the x axis (3)
θ = pi/3 radians at 60 degrees
the vectors of units at (pi/6,1) [cos(60), sin(60)] and [-cos(60), -sin(60)] are parallel to this line.
[1/2, sqrt(3)/2] as well as [-1/2, -sqrt(3)/2]
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One number is six more than the other number . thesum of their squares is 90
Answer:
the answer is 3 and 9. 9 is 6 greater than 3 and 9 squared and 3 squared added up give you 90.
The sears tower in chicago is 443 m tall. Joe wants to set the world’s stair climbing record and runs all the way to the roof of the tower. If joe’s average upward speed is 0. 60 m/s, how long will it take joe to climb from street level to the roof of the sears tower?.
It will take Joe 738.3 seconds (12.3 minutes) to climb from street level to the roof of the sears tower.
What is speed?The definition of speed is the rate at which an object's position changes in any direction. Speed is defined as the ratio of distance traveled to time spent traveling. Because it has only one direction and no magnitude, speed is a scalar quantity. Speed is a measure of how quickly something moves or is done, or how fast something moves. A car traveling at 45 miles per hour is an example of speed. Someone cleaning a room in 10 minutes is an example of speed. A jaguar's speed is an example of speed.To find how long will it take joe to climb from street level to the roof of the sears tower:
If Joe moves at 0.6 m/s in the vertical direction, the total distance he must cover is 443 meters in the vertical direction. The formula for average speed is now:Average speed = total distance / total timeTotal time = total distance / average speedTotal time = 443/0.6Total time = 738.3 secondsTherefore, it will take Joe 738.3 seconds (12.3 minutes) to climb from street level to the roof of the sears tower.
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When milgram conducted his first series of experiments with a sample of 20- to 50-year-old men, he found that over 60 percent of them:____.
When Milgram conducted his first series of experiments with a sample of 20- to 50-year-old men, he found that over 60 percent of them: went all the way to 450 volts.
What is the Milgram experiment?Milgram's experiment examined if authority affected submission. Stanley Milgram, a Yale University psychologist, carried out several obedience tests in the 1960s that produced some providing more opportunities.
Milgram discovered that more than 60% of the men in his sample of 20 to 50-year-olds who participated in his initial series of trials reached 450 volts.
As a result, when Milgram conducted his first series of experiments with a sample of 20- to 50-year-old men, he found that over 60 percent of them: went all the way to 450 volts.
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1. You opened a new business. Your first year you earned $18,000. Your goal is to
increase your sales by 3% each year. With this goal, what will be your sales after 15
years of business? (rounded to the nearest hundredth)
Answer:The final balance is $28,043.4.
The total compound interest is $10,043.4.
Step-by-step explanation:
https://www.omnicalculator.com/finance/compound-interest?c=USD&v=var1:1,subject:1138535033,var2:1,subject2:1,FinalBal:20000,FinalBal_adj:20000,apy:1.95!perc,infl:0,PeriodicDep:50,q:1000!!l,type:1,DepositBal:0,PrincipalBal:0,g:0!perc,first_day:19255,select1:1,TableFreq:111,InitialDep:18000,r:3!perc,t:180!yrsmos,m:1,ct1:1,ct2:0,compound_frequency:21,ct3:3,represent:13
7/10 divided by -2/7
Answer:
1/20
Step-by-step explanation:
hope this helps
Answer:
49/20
Step-by-step explanation:
Bye! ~ SunnyBunny <3
If the straight-line distance from her home to the university is 10. 3 km in a direction 25. 0° south of east, what was her average velocity in km/h?.
The average velocity in km/h is: 34.3km/hr
What is average velocity?Average velocity refers to speed at which the time intervals (t) change in position or displacement happens, divided by the change in position or displacement (x).
=> Average velocity = [tex]\frac{displacement}{time}[/tex]
Now,
The time taken is missing in the question; the time taken = 18 mins = [tex]\frac{18}{60}[/tex] hours.
The distance of her home to the university = 10.3 km
As, average velocity = [tex]\frac{displacement}{time}[/tex]
=> Velocity = [tex]\frac{10.3\times60}{18}[/tex] = 34.3 km/hr
Hence, the average velocity = 34.3 km/hr
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What mass of water will change its temperature by 3.0 °C when 635 J of heat is added to it?
The mass of water will change its temperature is 44.09 g.
Given that the temperature is change by 3.0°C when 635 J of heat is added to it.
Based on the given information, we know the following variables:
ΔT=3°C
Q=635J
C=(4.8 J)/(g×°C)
Here, we want to do is rearrange the equation to solve for m and this can be done by dividing both sides by C and ΔT to get m by itself like this:
m=Q/(ΔT×C)
Now, we want to substitute all the given values in the above formula, we get
m=635J/(3°C×(4.8J/(g×°C)))
m=635J/(14.4J/g)
m=44.09g.
Hence, the mass of water will change its temperature by 3.0 °C when 635 J of heat is added to it 44.09g.
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A repair shop charges $50 per hour. this week it is offering
a $20 discount. the equation c = 50h-20 represents the
total cost, c, of a job taking h hours. what is the total cost
of a job that takes 6 hours?
$280
b $50
$300
$30
The cost of a job that takes 6 hours is $280.
Discount:
Discount, the term referred as the amount or percentage deducted from the normal selling price of something. The discount means a reduction in the price of a good or service.
Given,
A repair shop charges $50 per hour. this week it is offering a $20 discount. And it represents the equation as,
c = 50h-20
Where
c represents the total cost, and
h represents the hours taken.
Here we need to find the total cost of a job that takes 6 hours.
According to the given details we know that the value of h = 6.
Then we need to find the value of c,
So,
=> c = 50(6) - 20
=> c = 300 - 20
=> c = 280
Therefore, the total cost of a job that takes 6 hours is $280.
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find the gradient and y-intercept of x-2y=8
(show your working)
x-2y=8
Step-by-step explanation:
x=8+2y
The gradient is 2
Answer:
gradient = [tex]\frac{1}{2}[/tex] , y- intercept = - 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope (gradient) and c is the y- intercept )
given
x - 2y = 8 ( subtract x from both sides )
- 2y = - x + 8 ( divide through by - 2 )
y = [tex]\frac{1}{2}[/tex] x - 4 ← in slope- intercept form
with gradient m = [tex]\frac{1}{2}[/tex] and y- intercept c = - 4
What is the line of symmetry for the parabola whose equation is y=x²-12x + 7?
Ox=12
Ox=6
Ox=-6
Answer:
x = 6
Explanation:
completing square:
[tex]y=x^2-12x+7[/tex]
[tex]y=(x^2-12x)+7[/tex]
[tex]y=(x-6)^2+7-(-6)^2[/tex]
[tex]y=(x-6)^2+7-36[/tex]
[tex]y=(x-6)^2-29[/tex]
Comparing with quadratic equation [tex]y=ax^2 + bx+c[/tex], in vertex form where [tex]y = a(x-h)^2+k[/tex]. In this x - h = 0, x = h defines the symmetry of equation.
So here the symmetry for parabola:
x - 6 = 0
x = 6
Answer:
x = 6
Step-by-step explanation:
The axis of symmetry of a parabola is the x-value of its vertex.
For a quadratic function in the form [tex]y=ax^2+bx+c[/tex], the x-value of the vertex is:
[tex]x=-\dfrac{b}{2a}[/tex]
Given function:
[tex]y=x^2-12x+7[/tex]
Therefore:
[tex]a=1, \quad b=-12, \quad c=7[/tex]
So the axis of symmetry of the given quadratic function is:
[tex]\implies x=-\dfrac{b}{2a}=-\dfrac{-12}{2(1)}=\dfrac{12}{2}=6[/tex]
Anyone 10-11 grade? Ig or S?
i am 11th grade
but why?
1/4 g(x)=-4x-8 if g (-3)
Answer:
16
Step-by-step explanation:
x=-3
g(x)=4(-4(-3)-8)
g(x)=4(4)
g(x)=16
Siobhan’s team is solving the following equation: . Amalia says there are no solutions. Brian says there is one solution, but it is imaginary. Cristina says there are two solutions! Help them out. Determine the solution(s) and justify your answer. You may want to refer to the Math Notes box in Lesson 2.2.2 for help.
There is no real solution of given equation.
There is a special case that will tell us if a quadratic has no real solution: if b = 0 when a and c share the same sign (both positive or both negative), then there will be no real solution. The quadratic formula becomes much simpler when b = 0.
given equation [tex]x^{2} =-16[/tex]
[tex]x=\sqrt{-16},\:x=-\sqrt{-16}[/tex]
[tex]x=4i, x=-4i[/tex]
we get imaginary solutions of given equation
so, there is no real solution equation is exist.
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How many solutions does this equation have?
3b + 4 = 10 + 3b
Answer:
None
Step-by-step explanation:
[tex]3b+4-3b=10+3b-3b\\4=10\\\sf Sides\:unbalanced.[/tex]
Find the slope of the line passing through the points (-7, 8) and (2, -8).
13. jewelry marena is using a certain number of blue beads in a bracelet
design. she will use 7 more red beads than blue beads. write an expression
in simplest form that represents the total number of beads in her bracelet
design.
The simplest expression that represents the total number of beads in her bracelet design is 2b + 7.
Expression:
An expression is the sentence with a minimum of two numbers or variables and at least one math operation.
This math operation can be addition, subtraction, multiplication, or division.
The structure of an expression is:
Expression = (Number/variable, Math Operator, Number/variable)
Given,
Jewelry Marena is using a certain number of blue beads in a bracelet
design. she will use 7 more red beads than blue beads.
Here we need to write an expression in simplest form that represents the total number of beads in her bracelet design.
Assign a variable for the unknown value.
Let b be the number of blue beads for the bracelet.
The number of red beads will be represented as b + 7.
Determine the expression for the total number of beads.
Then we can written it as,
=> b + (b +7)
=> 2b + 7.
Therefore, the total number of beads can be written as 2b + 7.
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Find the greatest common factor for each problem.use the t-chart to slow?
16 and 40
Gcf:
The required GCF is 8.
The greatest common factor is that greatest number from the factors which divides the number completely.
For example take numbers 12 and 16.
The factors of 12 are 2×2×3.
And the factors of 16 are 2×2×2×2.
We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.
Here it is given to find the greatest common factor of 16 and 40.
Factors of 16 = 2×2×2×2
Factors of 40 = 2×2×2×5
We can see clearly the common factors are 2×2×2 which gives 8.
So, 8 is the greatest common factor.
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guys helepepepe Which lines are perpendicular?
will give ur brainliest help plss
Answer:
All the lines (A,B,C) are perpendicular because they are all intersecting at a 90 degree angle.
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
What percentage of the 50 regions have stores within 1, 2, or 3 standard deviations of the mean?
Approximately 99.7% of the data fall within three standard deviations of the mean.
In particular, the empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ)
The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).
In particular, the empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
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Parallelogram be is a scaled copy of parallelogram U what is the value of w ( please answer ASAP I'm in a rush)
A scaled-down version of parallelogram is parallelogram be. What does w equal for U
X has a value of 4.
Line BC and line AD are parallel in the picture that was submitted, and segment 15 is the midpoint.
The Midsegment TrapezoidTheorem states that a line going through the midpoint of a trapezoid leg, parallel to both bases, will also go through the midpoint of the other leg
The formula for calculating a trapezoid's midsegment is as follows:
As a result, x has a value of 4.
A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.
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draw a rectangle. label the height as 5 cm and the width as 2x + 8. if the area is 80 cm^2 write an equation to find the value of x. then find the width of the rectangle
Answer:
16cm
Step-by-step explanation:
The area of a 2d figure is w x h. We know the area, a, is 80cm^2, the height, h, is 5, and the width, w, is 2x + 8.
Since we are solving for x, we want to isolate the variable.
5 x 2x + 8 = 80
80/5 = 2x + 8
We can now solve for x.
80/5 = 2x + 8
16 = 2x + 8
16 - 8 = 2x + 8 - 8
8 = 2x
8/2 = 2x/2
4 = x
We aren't done, we still need to solve for w, where we now know x = 4
w = 2x + 8
w = 2(4) + 8
w = 8 + 8
w = 16
explain how you got it
The value of AB in the geometry is 24 units.
How to find the length AB using geometry?According to the diagram,
BD ≅ BC
BD = 5x - 26
BC = 2x + 1
AC = 43
Therefore, the value of AB can be found using the knowledge of geometry.
BD = BC
5x - 26 = 2x + 1
5x - 2x = 1 + 26
3x = 27
divide both sides by 3
x = 27 / 3
x = 9
Therefore,
BC = 2x + 1 = 2(9) + 1 = 18 + 1 = 19
AC = BC + AB
AB = AC - BC
AB = 43 - 19
AB = 24 units
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What is the transformation in the function y=x^2+10?
A. up 10
B. down 10
C. right 10
D. Left 10
Answer: Left 10 Units
Step-by-step explanation: hope this helps
If angle 1 and angle 2 form a linear pair and angle 1 is x and angle 2 is 5x - 18, find the measure of angle 1
Apply the definition of linear pair, the measure of angle 1 is calculated as: 33°.
What are Linear Pair Angles?If two angles are a linear pair, then, the sum of their angle measures equal 180 degrees.
We are given that angle 1 and angle 2 are a linear pair. This means that:
Measure of angle 1 + measure of angle 2 = 180
Measure of angle 1 = x
Measure of angle 2 = 5x - 18
Substitute
x + 5x - 18 = 180
6x - 18 = 180
6x = 180 + 18
6x = 198
6x/6 = 198/6
x = 33
Measure of angle 1 = x = 33°.
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help ill give brainlist
Answer: -7/24
Step-by-step explanation:
move 2/3 to the opposite side of the equal sign which then changes the equation to...
3/8-2/3 = r
then change the denominators for both of them to 24.
so it would be 9/24 - 16/24
9-16 = -7
so it would be -7/24
21x21 I need real help with this.Really struggling ;)
Answer: Human calculator says 21 x 21 = 441!
Good Luck!
George wants 42 liters of a mixture of water and 15% lemon juice. he has a mixture of 5% lemon juice and a mixture of 20% lemon juice. how many liters of the 5% and 20% mixtures should he mix to get what he wants? (round you answer to the nearest tenth if necessary.)
The amount of 5% lemon juice mixture and 20% lemon juice mixture that needed to be mixed is 14 liters and 28 liters, respectively.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the amount of 5% lemon juice mixture that is needed to be mixed be represented by x, then the amount of 20% lemon juice mixture will be represented by (42-x), because the total mixture is needed to be 42 liters.
Now, given that George wants 42 liters of a mixture of water and 15% lemon juice with a mixture of 5% lemon juice, and a mixture of 20% lemon juice. Therefore, we can write,
5% of x + 20% of (42-x) = 15% of 42 liters
0.05x + 0.2(42 - x) = (0.15×42)
0.05x + 8.4 - 0.2x = 6.3
0.05x - 0.2x = 6.3 - 8.4
-0.15x = -2.1
x = -2.1 / -0.15
x = 14
Further, the amount of mixture of lemon juice that is needed to be mixed can be written as,
5% lemon juice mixture, x = 14 liters20% lemon juice mixture, (42 - x) = 28 litersHence, the amount of 5% lemon juice mixture and 20% lemon juice mixture that needed to be mixed is 14 liters and 28 liters, respectively.
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Given that z is a standard normal random variable, what is the probability that -2.51 z -1.53?
Probability that -2.51 < z < -1.53 = 0.057
Given that z is a standard normal random variable. Then the z - values are given by the area under standard normal curve. It can be found from the standard normal tables.
Now probability that -2.51 < z < -1.53 = P( -2.51 < z < -1.53 )
= P( -2.51 < z < 0 ) - P( -1.53 < z < 0 )
= P( 0 < z < 2.51) - P( 0 < z < 1.53 ) [Since areas are equal for same positive and negative values]
P( 0 < z < 2.51) = 0.4940
P( 0 < z < 1.53) = 0.4370
[From the normal tables]
Therefore, Probability that -2.51 < z < -1.53 = 0.4940 - 0.4370 = 0.057
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