Answers
If car has 1/x part in cleaning the house in 1 hour 1/x-5 must be part of Jose if he also clean the house for 1 hr.
What is work?The scientific definition of work is different in many ways from its everyday meaning. The definition of work in physics reveals its relationship to energy – whenever work is done, energy is transferred.
For a work to be done, in a scientific sense, a force must be exerted, and there must be displacement in the direction of the force. With this said, we can say that Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.
Mathematically, the above statement is expressed as follows:
W = (F cos θ) d = F. d
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Related Questions
cheesebugers and pizza are on todays menu. if the cafeteria serves cheeseburgers every 4th day and pizza every 6th day, how many more days until cheeseburgers and pizza are both on the menu again?
Answers
Answer:
12 more days
Step-by-step explanation:
Every time cheeseburger will be served: 4th day, 8th day, 12th day, 16th day
Every time pizza wil be served: 6th day, 12th day, 18th day
Since 12 is a common number, every 12 days both cheeseburgers and pizzas will be served
A store is having a sale in which all items
are discounted 20%. Including tax, Colin paid $21 for a picture. If the
sales tax rate is 5%, what was the original price of the picture?
Answers
In linear equation, that price of shorts before discount was $25
What in mathematics is a linear equation?
An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x).The dependent variable in this scenario is y since it depends on the independent variable, x.Assume that the price of shorts after the discount is x
Total payment = price of shorts + taxes
We know that:
total payment = $21
taxes = 5% = 0.05 of the price
This means that:
21 = x + 0.05x
21 = 1.05x
x = $20
Therefore, the price of the shorts is $20 after the discount
Now, we will get the price of the shorts before the discount:
Assume that the price of shorts before discount is y
We know that:
The discount was 20%
This means that Jennifer paid:
100% - 20% = 80% of the price of the shorts
Therefore:
80% of the price = $20
0.8y = 20
y = $25
This means that price of shorts before discount was $25.
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In the diagram below line FG is // to line HI, and line segments BC and AD intersect at E.
The measure of angle GBE = 3x+20, and the measure angle ECD = x.
Answers
The values of the angle x in the line segments is 40 degrees.
How to find the measure of angle?When parallel lines are are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles etc.
Therefore, the line FG is parallel to line HI. The line segment BC and AD are the transversal lines that cut across the parallel lines FG and HI.
Therefore,
3x + 20 + x = 180 (Same interior angles)
Same interior angles are supplementary. That is the angles sum up to 180 degrees.
Therefore,
3x + 20 + x = 180
4x + 20 = 180
4x = 160
divide both sides by 4
x = 160 / 4
x = 40 degrees
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Write a number that satisfies the given condition. An integer between - 0.6 and 0.4. The integer between -0.6 and 0.4 is
Answers
Answer:
I think the answer is 0.
Step-by-step explanation:
-0.6,-0.5,-0.4,-0.3,-0.2,-0.1,0,0.1,0.2,0.3,0.4
ABCD is a quadrilateral
Work out the length of BC
Give your answer correct to 1 decimal place.
Answers
Using the law of cosines, the length of BC in the given quadrilateral is: 8.1 cm.
What is the Law of Cosines?The law of cosines that can be used to find the length of a side of a triangle with a known included angle and two sides is:
c² = a² + b² - 2 × a × b × Cos C.
Considering right triangle ABD,
BD = a
DC = b
BC = c
Use the Pythagorean theorem to find the length of BD in the quadrilateral as shown in the diagram:
BD = √(7.5² + 5²)
BD = √(7.5² + 5²)
BD = 9.0 cm
Use the law of cosines to find the length of BC:
BC² = BD² + DC² - 2 × BD × DC × Cos <BDC.
Substitute
BC² = 9.0² + 13² - 2 × 9.0 × 13 × Cos 38
BC² = 250 - 184.4
BC² = 65.6
BC = √65.6
BC = 8.1 cm
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a student reflects four point across the y ax is and recorded his work
Answers
Reflection across the y axis the y coordinate values remains the same but the x coordinates value changes sign. For example
[tex](x,y)\rightarrow(-x,y)[/tex]Therefore,
[tex]\begin{gathered} (6,8)\rightarrow(-6,8) \\ (1,1)\rightarrow(-1,1) \\ (0,3)\rightarrow(0,3) \\ (3,2)\rightarrow(-3,2) \end{gathered}[/tex]Set D has an error.
Given m ||n, find the value of x and y.
Answers
Answer: The correct answer is x=18 and y=59
Step-by-step explanation:
Opposite angles are congruent:
(6x+13) = (7x-5)
Solve for x:
6x+13−7x=7x−5−7x
−x+13−13=−5−13
−x=−18
x=18
Plug x value in for y:
Y=180-(7x-5)
Y=180-(126-5)
Y=180-121
Y=59
Write the sum of (4 × 10³) + (3.2 × 10¹) in scientific notation.
A) 43.2 x 104
B 4.32 x 105
C) 43.2 x 105
D) 7.2 x 10¹
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{(4\times10^3) + (3.2\times 10^1)}[/tex]
[tex]\mathsf{= 4\times10^3 + 3.2\times 10^1}[/tex]
[tex]\mathsf{= 4\times10\times10\times10 + 3.2\times10}[/tex]
[tex]\mathsf{= 4\times100\times10 + 3.2\times10}[/tex]
[tex]\mathsf{= 4\times1,000 + 3.2\times10}[/tex]
[tex]\mathsf{= 4,000 + 32}[/tex]
[tex]\mathsf{= 4,032}[/tex]
[tex]\mathsf{\approx 4.032\times10^3}[/tex]
[tex]\huge\text{Thus, your answer SHOULD be: \boxed{\mathsf{4.032\times10^3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Given m||n, find the value of x.
(6x-20)°
(6x-4)°
Answers
Answer:
x = 7
Step-by-step explanation:
The amount of charge on a capacitor in an electric circuit decreases by 30% every second. Assume the original charge on the capacitor is
1
millicoulombs. A) What is the charge
0.06
seconds after that. B) Set up and solve the equation to find when the charge is
0.1
millicoulombs.
Answers
The amount of charge on the capacitor after 0.06 seconds = 0.042 millicoulombs
What is an electric circuit?An electric circuit is defined as the device that aids in transmission of electricity generated by a battery or a generator.
A capacitor is defined as the device that has the ability to store energy in an electric circuit.
The amount of charge in a capacitor decreases in one second by = 30%
The original charge on the capacitor = 1 millicoulombs
30 % of 1millicoulombs = 30/100 * 1 = 0.3
1millicoulombs - 0.3 millicoulombs = 0.7 millicoulombs .
If 0.7 millicoulombs = 1 second
X millicoulombs = 0.06 second
Make X millicoulombs the subject of formula;
X millicoulombs = 0.06 × 0.7 = 0.042 millicoulombs.
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on average, jakob has noticed that 18 trains pass by his house daily (24 hours) on the nearby train tracks. what is the probability that at most 4 trains will pass his house in a 6-hour time period? (round your answer to three decimal places.)
Answers
Answer:
Step-by-step explanation:
The time interval of interest is 6 hours
There is an average of 18 trains per 24 hours or 18/(24/6)=49/12 trains per 6 hours.
The probability can be found using the Poisson distribution with parameter
λ=49/12
Trigonometry question
- Refer to the table below if needed.
- Choose the correct graph
1. Given that cos0 = -8/17 and sin0 is negative.
2. Given sec0 = -13/12, choose the two possible angles with domain 0 degrees 0[tex]\leq[/tex]0[tex]\leq[/tex]360 degrees.
3. 0 = 315 degrees
Answers
Using trigonometry, it is found that:
1. Graph 2 shows an angle in which cos(θ) = -8/17 and sin (θ) is negative.
2. The angles are θ = 157.38º and θ = 202.62º, as shown in Graph 1.
3. Graph 3 shows an angle of θ = 315º.
Sine and cosine negativeIn item 1, it asks for an angle in which both the sine and the cosine of the angle are negative. This happens in the third quadrant, hence Graph 2 shows an angle in which cos(θ) = -8/17 and sin (θ) is negative.
SecantThe secant of an angle is given by one divided by the cosine of the angle, that is:
sec(θ) = 1/cos(θ)
Considering the numeric value of the secant in this problem, we have that:
-13/12 = 1/cos(θ)
-13cos(θ) = 12
cos(θ) = -12/13
The cosine is negative in the second and the third quadrant, hence graph 1 shows these equivalent angles.
Applying the inverse cosine, the angles are given as follows:
θ = arccos(-12/13)
θ = 157.38º and θ = 202.62º. (two equivalent angles).
Angle of 315ºAn angle of 315º is on the fourth quadrant of the unit circle, hence Graph 3 shows this angle.
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determine the equation of the line from the graph
Answers
Answer:
y = -x + 1
Step-by-step explanation:
y =mx + b
It is crossing the y axis at 1 that is the b
The slope (m) is -1. From one point on the line to another you go down 1 and left 1. That represents a negative slope of 1
Which of the following belongs under the radical symbol in the quadraticformula below?-bt 土?X2a
Answers
The quadratic formula for a polynomial is given by:
[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]Therefore, option (C) is correct.
The solution set of which of the following equations is the set of real numbers that are 3 units from -2?
A |x+2|=3
B|x-2|=3
C |x+3|=-2
D |x-3|=2
E |x+3|=2
Answers
The solution set of real numbers that are 3 units from -2 is :
|x +2| = 3
What is a solution set?Any value of a variable that makes the specified equation true is referred to as a solution. A solution set is the collection of all variables that satisfy the equation. To find the solution set of an equation with a given domain, first plug each domain value into the equation to obtain the respective range values. Make ordered pairs out of these values and write them down as a set. That set is our solution.Here
Function : |x +2| = 3
since ,
|x +2| = 3 => x + 2 = 3 ∨ x + 2 = -3
x = 3 - 2 ∨ x = -3 - 2
x = 1 ∨ x = -5
| - 2 - 1 | = | -3| = 3
| -2 -(-5) | = | -2 + 5 | = 3.
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change from radical form to exponential expression in fractional form. No need to evaluate just be put in simplest form
Answers
To convert from radical form to exponential in fractional form, we can follow:
[tex]\sqrt[m]{b^n}=b^{\frac{n}{m}}[/tex]Firstly, notice that 9 is the same as 3 squared:
[tex]\sqrt[4x+2]{9}=\sqrt[4x+2]{3^2}[/tex]Now, we can apply the change:
[tex]\sqrt[4x+2]{3^2}=3^{\frac{2}{4x+2}}[/tex]Also, notice that we can factor out the 2 on the denominator to cancel with the two on the numerator:
[tex]3^{\frac{2}{4x+2}}=3^{\frac{2}{2(2x+1)}}=3^{\frac{1}{2x+1}}[/tex]So, the expression in the simples form and fractional exponent is:
[tex]3^{\frac{1}{2x+1}}[/tex]The radius of a circle can be approximated using the expression sqrt(((A)/(3))) where A represents the area . A circular kiddie swimming pool has an area of about 28 square feet . An inflatable full-size circular pool has an area of about 113 square feet , how much greater is the radius of the full-size pool than the radius of kiddie pool? Round to the nearest whole number .
Answers
The radius of the full-size pool is 2 times greater than the radius of kiddie pool
How to determine the ratioThe formula for determining the area of a circle is expressed mathematically as;
Area = πr²
Where;
r is the radius of the circleπ has a value of 3.142From the information given, we have that;
Radius = √A/3
Where;
A is the radius of the circle
For the circular kiddie, we have;
Radius = √28/3
Find the ratio
Radius = √9. 3
Find the square root
Radius = 3 feet
For the circular pool
Radius = √ 113/3
Find the ratio
Radius = √37. 66
Find the square root
Radius = 6 feet
We then have;
Radius of the pool/radius of the kiddie pool
6/3
Find the quotient
2
Hence, the value is 2
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one thousand two hundred and seventy deer are living on an island that is eight hundred and thirty square kilometers in size. what is the population density of the deer per square kilometer?
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you divide the population by the size, and in turn you would get 1.53
hope this helped!! :)
The volume of this cube is 27 cubic centimeters. What is the value of p?P=___centimeters
Answers
please help thank you, due soon
Answers
Answer:
8.1
Step-by-step explanation:
just calculate 45 of 18%
Pls pls help due tomorrow!
Answers
If the equation y = -x, then the equation of the line that is parallel to the given line and passes through the point (-8,2) is y = -x-6
The equation is
y = -x
The slope intercept form
y = mx+b
Where m is the slope of the line
Comparing the slope intercept form and the given equation
Slope of the line m = -1
The line is passing through the points (-8,2)
The point slope form of the line
[tex](y-y_1)=m(x-x_1)[/tex]
Substitute the values in the equation
y-2 = -1(x-(-8))
y-2 = -1(x+8)
y-2 = -x-8
y = -x-8+2
y = -x-6
Hence, if the equation y = -x, then the equation of the line that is parallel to the given line and passes through the point (-8,2) is y = -x-6
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PLEASE HELP ME ASAP :,)
Answers
Answer:
154 feet squared
Step-by-step explanation:
1. Divide 14 by 2
2. Use the equation pie times radius squared
3. Answer is 153 foot squared
In one of its Spring catalogs , Bean advertised footwear on 29 of its 192 catalog pages. Suppose we randomly survey 20 pages. We are interested in the number of pages that advertise footwear. Each page may be picked at most once.
A. In words, define the random variable X.
B. List the values that X may take on.
C. How many pages do you expect to advertise footwear on them ?
D. Calculate the standard deviation .
Answers
A) The random variable X is The number of pages that advertise footwear
B) X = 1, 2, 3.....20
C) On average 3.02 pages expect to advertise footwear on them
Bean advertised footwear on 29 of its 192 catalog pages.
we randomly survey 20 pages
the random variable X is
X = The number of pages that advertise footwear
It is given that 20 pages have been surveyed
so, X = 1, 2, 3.....20
The average value for binomial distribution can be calculated as follows
μ = np
= 20 (29/192)
= 580/192
=3.02
On average 3.02 pages expect to advertise footwear on them
Therefore, A) The random variable X is The number of pages that advertise footwear
B) X = 1, 2, 3.....20
C) On average 3.02 pages expect to advertise footwear on them
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Max organized a community toy drive for the holidays. he asked each family to donate a total of 3 gifts. fifteen families participated in the toy drive. write and solve an equation that represents how many gifts were donated.
Answers
Answer: g/15 = 3 ; g = 45 gifts.
Step-by-step explanation: You would basically have to multiply 15 by 3, and it equal 45. This answer choice shows an equation that will make the answer 45, so it is right.
g/15 will equal 3.
Then, you would break them apart and do the denominator (15) multiplied by the numerator (3).
This will get you the answer 45.
So, you will get the answer choice A.
in recent years the state of alaska issued license plates consisting of 7 characters. the first three characters are the letters of the alphabet excluding i, o, and x. the last four characters are the numeral digits. how many different license plates can be issued using this configuration (with repetition)?
Answers
121670000 different license plates are possible.
A license plate consists of 7 characters.
The first 4 characters are numerals from 0 to 9.
each character can be in 10 ways
so possible ways = 10 * 10 * 10 * 10 = 10000
The last 3 characters are letters excluding I, O, and X.
Each character can be in 26 - 3 = 23 Ways
Possible ways = 23 *23 * 23 = 12167
Number of possible different license plates = 10000 * 12167
= 121670000
What is car registration ?
Motor vehicle registration is the registration of a motor vehicle with a public authority, whether compulsory or otherwise. The purpose of registering a motor vehicle is to establish a link between the vehicle and the owner or user of the vehicle. This link may be used for taxation or criminal investigations.
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A lighthouse is located on a small island 4 km away from the nearest point P on a straight shoreline and its light makes six revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P? (Round your answer to one decimal place.)
Answers
The beam of light along the shoreline when it is 1 km from P is moving at 125.66 km/min.
Given that, a lighthouse is located on a small island 4 km away from the nearest point P.
What is the differentiation?The process of finding derivatives of a function is called differentiation in calculus. A derivative is the rate of change of a function with respect to another quantity.
[tex]\frac{d\theta}{dt}[/tex] = 6 rev/min
= 6π rad/min
tan θ = x/6
[tex]\frac{d}{dt}tan\theta=\frac{d}{dt}(\frac{x}{6} )[/tex]
[tex]sec^2\frac{d\theta}{dt} = \frac{1}{6}(\frac{dx}{dt} )[/tex]
[tex]\frac{dx}{dt}=6sec^2\theta\frac{d\theta}{dt}[/tex]
At x=1 km; tan θ= x/6 = 1/6
[tex]sec^2 \theta= 1+tan^2 \theta= 1 + (\frac{1}{6})^2[/tex]
[tex]sec^2 \theta = \frac{10}{9}[/tex]
[tex]\frac{dx}{dt} = 6 sec^2\theta \frac{d\theta}{dt}[/tex]
dx/dt = 6 × 10/9 × 6π
dx/dt = 125.66 km/min
Therefore, the beam of light along the shoreline when it is 1 km from P is moving at 125.66 km/min.
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[please help asap tyyyyyyyy
Answers
Answer:
I got you, the answer is c+32.
Step-by-step explanation:
Hope this helps. Please mark branliest if right.
- What is the perimeter of a right triangle witha hypotenuse that measures 6 square root 5 cm and onealeg that measures 4 square root 5 cm
Answers
at a tree farm,there are nine rows of 36 Spruce trees . in each row 14 of the spruce trees are blue spruce how many Spruce tree‘s are not blue spruce?
Answers
Answer: 198
Step-by-step explanation:
9 * 36 = 324
9 * 14 = 126
324 - 126 = 198
Hope this helps!
4. What is the solution of the following system? (1 point)
[x - y = 11
|-x + y = −11
a. (-3,-4)
b. no solutions
c. infinitely many solutions
d. (3, 4)
Answers
If the two equations are x - y = 11 and -x + y = -11 then the system has infinitely many solutions.
How to find the system of solutions?Let the two equations be
x - y = 11 ..................(1)
-x + y = -11 ..................(2)
Express the first equation in the term of x and substitute it into the second equation:
From (1) and (2), we get
-(y + 11) + y = -11
simplifying the above equation, we get
-y - 11 + y = -11
-y + y = 11 - 11
0 = 0
So, the system has infinitely many solutions.
Therefore, the correct answer is option c. infinitely many solutions.
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