Problem
r(180º,0) (GH) for G(2,-90), H(-1,3)
O G(-2,8), H(1,-4)
O G(-2,10), H(3.-7)
O G(-2,9), H(1.-3)
O G(-2,7), H(-1,3)
Solution
For this case we need to apply a rotation of 180º in the x axis and then we have:
G = (-2,9)
H= (1, -3)
Two plumbers make house calls. One charges $105 for a visit plus $30 per hour
of work. The other charges $65 per visit plus $40 per hour of work. For how
many hours of work do the two plumbers charge the same?
Answer:
Step-by-step explanation:
plumber ones equation: y = 30x + 105
plumber two: y = 40x + 65
set the two equations equal to each other
30x + 105 = 40x + 65
solve for x
40 = 10x
4 = x
after 4 hours they will charge the same
At a sale this week, a desk is being sold for $536. This is 67% of the original price.
What is the original price?
Answer:
884.4
Step-by-step explanation:
Answer:
The original price is 895.12$
I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this
Step-by-step explanation:
$1750 is invested in an account earning 3.5% interest compounded annualy. How long will it need to be in an account to double?
Given :
\(\begin{gathered} P\text{ = \$ 1750} \\ R\text{ = 3.5 \%} \\ A\text{ = 2P} \\ A\text{ = 2}\times\text{ 1750 = \$ 3500} \end{gathered}\)Amount is given as,
\(\begin{gathered} A\text{ = P( 1 + }\frac{R}{100})^T \\ 3500\text{ = 1750( 1 + }\frac{3.5}{100})^T \\ \text{( 1 + }\frac{3.5}{100})^T\text{ = }\frac{3500}{1720} \end{gathered}\)Further,
\(\begin{gathered} \text{( 1 + }\frac{3.5}{100})^T\text{ = 2} \\ (\frac{103.5}{100})^T\text{ = }2 \\ (1.035)^T\text{ = 2} \end{gathered}\)Taking log on both the sides,
\(\begin{gathered} \log (1.035)^T\text{ = log 2} \\ T\log (1.035)\text{ = log 2} \\ T\text{ = }\frac{\log \text{ 2}}{\log \text{ 1.035}} \end{gathered}\)Therefore,
\(\begin{gathered} T\text{ = }\frac{0.3010}{0.0149} \\ T\text{ = 20.20 years }\approx\text{ 20 years} \end{gathered}\)Thus the required time is 20 years.
9
Write as a percentage.
10
Answer:
Step-by-step explanation:
I really dont know but if I did I would say I'm a 6 grader
Perform the indicated operation:
(4 + 2i) (1 + 5i)
-6 +22i
6-221
-14 + 18i
6+22i
Answer:
-235+84i
Step-by-step explanation:
I hope this is what you were looking for.
Consider a password which is 4 to 5 characters long, where each character is either an uppercase letter (26 letters) or a digit (0-9). Each password must contain at least one digit.
A: How many possible passwords are there?
B: What is the probability of having a password which is 5 character long and ends in a zero.?
C: What is the probability of having an all digit password?
A: There are 33,216 possible passwords. The probability of having a 5 character password ending in 0 is 2.7%. The probability of having an all digit password is 0.16%.
The total number of possible passwords can be calculated by multiplying the number of options for each character. There are 26 uppercase letters and 10 digits, so for a 4 character password there are 26 x 26 x 10 x 10 = 67,600 possible combinations. For a 5 character password there are 26 x 26 x 10 x 10 x 10 = 336,960 combinations. Therefore, there are 33,216 possible passwords if the password must be 4-5 characters long and contain at least one digit. The probability of having a password which is 5 characters long and ends in a zero is 2.7%. This is calculated by dividing the number of possible passwords that end in 0 (1,680) by the total number of possible passwords (33,216). The probability of having an all digit password is 0.16%. This is calculated by dividing the number of possible all digit passwords (5,120) by the total number of possible passwords (33,216).
Learn more about probability here
https://brainly.com/question/30034780
#SPJ4
Evaluate the expression below.
8 - 7. 4+ 3(-1)
1
7
-7
-1
Please explain your answer. Will mark Brainliest (question 9)
The initial investment of the function is 20 dollars.
The rate growth in percentage is 4%.
The investment after 10 years is 29.6 dollars.
How to solve function?The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.
Therefore, the initial investment of the function is 20 dollars.
The rate growth in percentage can be calculated as follows;
rate growth in percent = 0.04 × 100
rate growth in percent = 4 %
Let's find the value of the investment after 10 years.
Therefore,
\(y=20(1.04)^{t}\)
t = 10
\(y=20(1.04)^{10}\)
\(y=20(1.48024428492)\)
y = 29.6048856984
Therefore, the investment after 10 years is as follows:
y = 29.6 dollars
learn more on function here: https://brainly.com/question/12431044
#SPJ1
Which of the following is a point where the graph
of the function f(x) = (2x + 5)2 intersects the
X-axis?
Answer:
-When (2×-5) intersects at ×-axis the value of × will be zero.
=>F(×)=× 0=2×-5
hence,
0,=2×-5
5=2×
=>×=5/2
Step-by-step explanation:
hpe it hlps
What kind of transformation is illustrated in this figure?
The transformation illustrated in the figure is translation.
What is Translation?Translation is a Transformation process in which the size or shape of a figure is not changed rather it only changes the coordinates of the vertices that make up that shape by moving them from one point to another.
Analysis:
Both shapes are congruent, since all the vertices remain in their respective positions even though they were moved and no change in the shape or size, then the transformation process is Translation.
Learn more about Translation: brainly.com/question/12861087
#SPJ1
Select the correct answer from each drop-down menu. A graph of quadrilateral 1 with the nodes of (minus 3, 7), (minus 4, 9), (minus 7, 9), and (minus 4, 5). Transformation of quadrilateral 2 with the nodes of (3, minus 4), (3, 6), (8, 2.8), and (7.2, minus 1.9). Quadrilateral 1 and quadrilateral 2 are polygons that can be mapped onto each other using similarity transformations. The transformation that maps quadrilateral 1 onto quadrilateral 2 is a followed by a dilation with a scale factor of .
This transformation of the polygon ABCD to A'B'C'D' is a by a factor of 2√5.
The coordinates are given as:
First polygon: A (-3, 7), B (-4, 9), C (-7, 9), and D (-4, 5).
Second polygon: A' (3, -4), B'(3, 6), C'(8, 2.8), and D'(7.2, -1.9)
Calculate the distance AB and A'B' using:
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
⇒ AB = √ (-4 + 3)² + (9 - 7)²
⇒ AB = √1 + 4
⇒ AB = √5
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
⇒ A'B' = √ (3 - 3)² + (6 + 4)²
⇒ A'B' = 10
This gives, Divide A'B' by AB to determine the scale factor (k)
k = 10 / √5
k = 2√5
Hence, this transformation is a by a factor of 2√5
Read more about transformation at:
brainly.com/question/4289712
#SPJ1
Answer:
Reflection and 2
Step-by-step explanation:
for plato
Which choice is equivalent to the quotient shown here when x > 0?
98x³+√72x²
O A. TV₂
OB. √26x
7x
O C. 7
6
OD. √98x3 - 72x²
Answer:
A.\( \frac{7}{6} \sqrt{x} \)
Step-by-step explanation:
Solution Given:
\( \sqrt{98{x}^{3} } \div \sqrt{72 {x}^{2} } \)
Bye using indices formula
\( \sqrt{x} \div \sqrt{y} = \sqrt{ \frac{x}{y} } \)
we get
\( \sqrt{ \frac{98{x}^{3} }{72 {x}^{2} } } \)
\( \sqrt{ \frac{49 {x}^{3} }{ 36 {x}^{2} } }\)
\( \sqrt{ \frac{{7}^{2} {x}^{3 - 2} }{{6}^{2} } } \)
\( \frac{7}{6} \sqrt{x} \)
find the vector form of the equation of the line in that passes through and is perpendicular to the plane with general equation .
The vector form is x - y +z = 0
Standard equation
The standard form of a linear equation is Ax + By=C. To change an equation written in slope-intercept form (y = mx + b) to standard form, you must get the x and y on the same side of the equal sign and the constant on the other side.
The vector form of the equation of the line in that passes through origin and is perpendicular to the plane with general point [1,1,1].
The standard equation is of the form, Ax + By + Cz = 0
The equation of the plane that passes through the origin(0, 0, 0) and is perpendicular to [1,1,1] is
A = 1, B = 1, C = 1
x = y = z = 0 (at origin)
A(x-0) + B(y-0) + C(z-0) = 0
(x - 0) -1(y-0) + 1(z-0) = 0
x - y +z = 0.
Learn more about Standard equation here :-
https://brainly.com/question/14891891
#SPJ4
A rancher has 200 feet of fencing to enclose two adjacent rectangular corrals. What dimensions should
be used so that the enclosed area will be a maximum?
Length is 33.33 feet and width is 25 feet are dimensions should
be used so that the enclosed area will be a maximum.
What is Area of Rectangle?The area of Rectangle is length times of width
Given that, a rancher has 200 feet of fencing to enclose two adjacent rectangular corrals of the same dimensions.
Here, the dimensions of the rectangles are the same.
The width of the two rectangles is W=2W+2W=4W
The length of the two rectangles is L=L+L+L=3L
Because the adjacent side has a common length.
3L+4W=200
3L=200-4W
Divide both sides by 3
L=(200-4W)/3
Let us form an equation using the area of rectangle formula:
A=2LW
=2(200-4W)/3.W
A=400-8W²/3
Let us differentiate to get the area to be maximized dA/dW=0
1/3×(400-8W²)=0
1/3(400-16W)=0
400-16W=0
400=16W
Divide both sides by 16
W=25
The width is 25 feet.
Substitute W value in equation to get L value:
L=200-4×25/3
=200-100/3
=100/3
=33.33
The length is 33.33 feet.
Now let us find the maximum area
A=2LW
=2×33.33×25
=1666.66
Hence, length is 33.33 feet and width is 25 feet are dimensions should
be used so that the enclosed area will be a maximum.
To learn more on Rectangle click:
https://brainly.com/question/20693059
#SPJ1
How much could they charge per ticket to break-even (make $0 profit)?
Answer:
I don't think I understand but I will do my best. to get $0 profit you could give the tickets out for free
Step-by-step explanation:
also CREATI stop deleting my answers please!
solve for rational algebraic equation.
Step-by-step explanation:
Taking the provided equation ,
\(\implies \dfrac{3x+4}{5}-\dfrac{2}{x+3} =\dfrac{8}{5} \)
1) Here denominator of two fractions are 5 and x +3 . So their LCM will be 5(x+3)
\(\implies \dfrac{(x+3)(3x+4)-(2)(5)}{5(x+3)}=\dfrac{8}{5} \)
2) Transposing 5(x+3) to Right Hand Side . And 5 to Left Hand Side .
\(\implies 5(3x^2+4x+9x+12 -10) = 40(x+3)\)
3) Multiplying the expressions.
\( \implies 5(3x^2+13x+2) = 40x + 120 \)
4) Opening the brackets .
\(\implies 15x^2+ 65x + 10 = 40x + 120 \)
5) Transposing all terms to Left Hand Side .
\(\implies 15x^2 + 65x - 40x + 10 - 120 = 0 \\\\\implies 15x^2 +25x - 110 = 0\)
6) Solving the quadratic equation .
\(\implies 5(3x^2+5x -22) = 0 \\\\\implies 3x^2+13x-22 = 0 \\\\ \implies x = \dfrac{-b\pm \sqrt{b^2-4ac}}{4ac} \\\\\implies x = \dfrac{-5\pm \sqrt{5^2-4(-22)(3)}}{2(3)} \\\\\implies x = \dfrac{-5\pm \sqrt{289}}{6}\\\\\implies x =\dfrac{-5\pm 17}{6} \\\\\implies x = \dfrac{17-5}{6},\dfrac{-17-5}{6}\\\\\implies x = \dfrac{12}{6},\dfrac{-22}{6} \\\\\underline{\boxed{\red{\bf\implies x = 2 , \dfrac{-11}{3}}}}\)
Answer:
\(x=2\\x=-\frac{11}{3}\)
Step-by-step explanation:
Solve the rational equation:
\(\displaystyle \frac{3x+4}{5}-\frac{2}{x+3}=\frac{8}{5}\)
To eliminate denominators, multiply by 5(x+3) (x cannot have a value of 3):
\(\displaystyle 5(x+3)\frac{3x+4}{5}-5(x+3)\frac{2}{x+3}=5(x+3)\frac{8}{5}\)
Operate and simplify:
\(\displaystyle (x+3)(3x+4)-5(2)=(x+3)(8)\)
\(\displaystyle 3x^2+4x+9x+12-10=8x+24\)
Rearranging:
\(\displaystyle 3x^2+4x+9x+12-10-8x-24=0\)
Simplifying:
\(\displaystyle 3x^2+5x-22=0\)
Rewrite:
\(\displaystyle 3x^2-6x+11x-22=0\)
Factoring:
\(\displaystyle 3x(x-2)+11(x-2)=0\)
\(\displaystyle (x-2)(3x+11)=0\)
Solving:
\(x=2\\x=-\frac{11}{3}\)
If electricity is billed at a rate of $0.75 per KWH and you used on average 120 KWHs per month, what would you expect to pay each month?
You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.
How to find the expected monthly payTo calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.
Given:
Cost per KWH: $0.75
Average monthly usage: 120 KWHs
To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:
Monthly Cost = Cost per KWH * Average monthly usage
Plugging in the values, we have:
Monthly Cost = $0.75/KWH * 120 KWHs
Calculating the result:
Monthly Cost = $90
Learn more about Monthly Cost at
https://brainly.com/question/24093839
#SPJ1
John has 66 socks, all in pairs. He has 1 more pair of white socks than black socks. How many individual socks of each color does he have?
Answer:
Black socks 35
White socks 31
Step-by-step explanation:
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Solve for x.
Can anyone help me please?
Answer:
The answer is 1
Step-by-step explanation:
3-4= -1
-1+x= 1
At a factory, Jin assembles 12 parts each minute. He has assembled 156 parts when Summer starts on the line, assembling at a pace of 15 parts per minute. If their assembly rates continue, will summer ever catch up to jin? When?
I need the substitution and elimination method
If their assembly rates continue, based on an equation, Summer will catch up with Jin in 52 minutes.
What is an equation?An equation refers to a statement claiming the equality of two or more mathematical expressions.
Using the equation sign (=) mathematicians show that expressions are equal or equivalent.
Jin's assembling rate per minute = 12 parts
Summer's assembling rate per minute = 15 parts
The number of parts already assembled by Jin before Summer started = 156 parts
Let the minutes used by Jin or Summer = n
The total parts assembled by Jin in n minutes = 156 + 12n
The total parts assembled by Summer in n minutes = 15n
For Summer to catch up to Jin, 15n = 156 + 12n
Grouping like terms:
15n - 12n = 156
3n = 156
n = 52
Thus, in 52 minutes, the number of assembly parts by Summer will equal Jin's.
Learn more about equations at https://brainly.com/question/2972832
#SPJ1
He uses the steps below to find both the mean and mean absolute deviation.
French Scores
Step 1
Add the scores.
76 + 62 + 94 + 80 = 312
Step 2
Divide the sum of the scores by 4.
312 divided by 4 = 78
Step 3
Add the differences between the mean and each score.
(76 minus 78) + (62 minus 78) + (94 minus 78) + (80 minus 78) = 0
Step 4 Divide by 4.
StartFraction 0 over 4 EndFraction = 0
In which step did Souta make the first error?
Answer:
Souta made his first error in Step 3, where he found the differences between each score and the mean. He did not find the absolute values of these differences, which means he did not calculate the mean absolute deviation correctly.
Determine if 0.84375 is rational or irrational and give a reason for your answer.
Reasons Below
Answer: Rational because it is a decimal that terminates.
Step-by-step explanation:
A rational number can be expressed as a ratio/ fraction of two integers so there are several methods of knowing if a number is rational or irrational.
One such way is if it is a decimal that terminates. A terminating decimal is one that has a set amount of numbers after the decimal and hence does not continue forever. This number is rational because it can be expressed as a fraction.
0.84375 in fraction form would be, 84,375/100,000.
Problem:Write an equation of the line that passes through the given point and has the given slope
We have a line that passes through the point P:
P = (2, -1)
And that has a slope m = 5. Using the point-slope form of the linear equation:
(y - y0) = m*(x - x0) ...(1)
Where x0 and y0 are the coordinates of any point contained in the line. In particular, if the point is P:
x0 = 2
y0 = -1
Then, replacing these values on (1):
(y - (-1) = 5*(x - 2)
y + 1 = 5x - 10
Finally:
y = 5x - 11
HCF of 560 and 729 :)
The HCF of 560 and 729 is 1.
To find the HCF of 560 and 729, we use the Euclidean algorithm as follows;HCF of 560 and 729:Step 1: Divide the larger number by the smaller number, then find the remainder.729 ÷ 560 = 169 remainder 169Step 2: Divide the smaller number (i.e., 560) by the remainder (i.e., 169).560 ÷ 169 = 3 remainder 53.
Step 3: Divide the remainder from step 1 (i.e., 169) by the remainder from step 2 (i.e., 53).169 ÷ 53 = 3 remainder 10Step 4: Divide the remainder from step 2 (i.e., 53) by the remainder from step 3 (i.e., 10).53 ÷ 10 = 5 remainder 3Step 5: Divide the remainder from step 3 (i.e., 10) by the remainder from step 4 (i.e., 3).10 ÷ 3 = 3 remainder 1.
Step 6: Divide the remainder from step 4 (i.e., 3) by the remainder from step 5 (i.e., 1).3 ÷ 1 = 3 remainder 0The HCF of 560 and 729 is the last non-zero remainder, which is 1.
For more such questions HCF,Click on
https://brainly.com/question/21504246
#SPJ8
20 points help. The points (0,2)and (3,8)fall on a particular line. What is its equation in slope-intercept
form?
Answer: y = 6x + 2
Step-by-step explanation:
Slope: 8 - 2 / 3 - 0 = 6/1 = 6
y-intercept = 2
Slope intercept formula: y = mx + b
m = slope
b = y-intercept
y = 6x + 2
Hope it helped!
What is 1+1x29x78... Help
Answer:
2263
Step-by-step explanation:
1 + 1 x 29 x 78
1 + 29 x 78
1 + 2262
2263
The top view of a portion of streets in Buffalo, New York is shown. Williams Street runs parallel to Broadway Street, and the angle where
the Storage is located has a measure of Storage. Identify other businesses that occupy corners with an angle measure of 124. Select all
that apply
Answer:
Coffee Shop, pharmacy, furniture
Step-by-step explanation:
Coffee Shop and Furniture are both Alternate Interior Angles to the Storage, and Pharmacy is a Alternate Interior angle to the previous two
If f(3) = 5 and f(4) = 8, Find f(5) and f(6)
Answer:
(55) (4)
Step-by-step explanation:
your welcome
3 A farmer's horses drink from a rectangular water tank with dimensions shown.
2 4/5 ft
2 2/5 * ft
2 1/2 * 1
5 3/5 * ft
4 4/5 ft
When the farmer refills the tank, it takes the horses 4 days to drink all the water. The farmer wants to build a new, larger tank and plans to increase each measurement of the tank by 25%.
Section 3
By what percentage will the amount of water the farmer can put in the tank increase when the larger tank is built?
Explain how you found your answers.
Enter your answers and your explanation in the space provided.
How many days will it take the horses to drink all the water in the larger tank?
The amount of water the farmer can put in the tank increase when the larger tank is built is 106.33%.It takes 4days for the horses to drink all the water in the larger tank.
What is percentage?Percentage is a way of expressing a proportion or a fraction out of 100. It represents the number of parts per hundred of a quantity.
What does dimension refers to?Dimension refers to a measurable aspect of an object or a system, such as length, width, height, depth, volume, area, or mass. In mathematics, dimension also refers to the number of coordinates required to specify a point in a space. For example, a two-dimensional shape like a square has two dimensions, length and width, while a three-dimensional object like a cube has three dimensions, length, width, and height.
To find the percentage increase in the amount of water the farmer can put in the larger tank, we need to calculate the volume of the original tank and the volume of the larger tank, and then compare the two.
The original tank has dimensions of 2 4/5 ft, 2 2/5 ft, and 2 1/2 ft. We can convert these mixed numbers to improper fractions for easier calculations:
2 4/5 ft = (2 x 5 + 4)/5 ft = 14/5 ft
2 2/5 ft = (2 x 5 + 2)/5 ft = 12/5 ft
2 1/2 ft = (2 x 2 + 1)/2 ft = 5/2 ft
The volume of the original tank is then:
Volume = Length x Width x Height = 14/5 ft x 12/5 ft x 5/2 ft
Now, the farmer plans to increase measurement by 25%. To do this, we multiply each measurement by 1.25.
The dimensions of the larger tank would be:
Length = 14/5 ft x 1.25 = 3.5 ft
Width = 12/5 ft x 1.25 = 3 ft
Height = 5/2 ft x 1.25 = 3.125 ft
The volume of the larger tank is then:
Volume = Length x Width x Height = 3.5 ft x 3 ft x 3.125 ft
To find the percentage increase, we can compare the two volumes:
Percentage increase = ((Volume of larger tank - Volume of original tank) / Volume of original tank) x 100
Plugging in the values we found:
Percentage increase = ((3.5 ft x 3 ft x 3.125 ft - 14/5 ft x 12/5 ft x 5/2 ft) / (14/5 ft x 12/5 ft x 5/2 ft)) x 100
After calculating the above expression, we find that the percentage increase is approximately 106.33%. So, the amount of water the farmer can put in the larger tank will increase by approximately 106.33% when the larger tank is built.
Now, to find how many days it will take the horses to drink all the water in the larger tank, we can assume that the rate at which the horses drink water remains constant. Since the volume of the larger tank is approximately 106.33% more than the original tank, it will take the horses approximately the same amount of time to drink all the water in the larger tank, which is 4 days.
Learn more about rectangle here:
https://brainly.com/question/29123947
#SPJ1