Using the formula for the distance between two points, it is found that the length of the side joining the vertex in quadrant i to the vertex in quadrant ii is given by:
c) 10
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In quadrant I, both coordinates are positive, hence the vertex is (4,6). In quadrant II, x is negative while y is positive, hence the vertex is (-6,6). Thus, the distance is given by:
[tex]D = \sqrt{(-6 - 4)^2+(6 - 6)^2} = 10[/tex]
Which means that option C is correct.
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Simplify the following.
-
1. 3m - 2n + 5m
2. -b - b + 5
3. 50 - 9 - 8C + 5
-
Answer:
1.[tex]8m-2n[/tex]
2.[tex]-2b+5[/tex]
3.[tex]-8c+46[/tex]
Step-by-step explanation:
Given the following questions:
[tex]3m-2n+5m[/tex]
[tex]-b-b+5[/tex]
[tex]50-9-8c+5[/tex]
To simplify the following we are going to have to regroup and combine like terms which means we are going to use inverse of operations on terms with similar variables.
Question one:
[tex]3m-2n+5m[/tex]
[tex]3m-2n+5m=3m+5m-2n[/tex]
[tex]3m+5m-2n[/tex]
[tex]3m+5m=8m[/tex]
[tex]=8m-2n[/tex]
Question two:
[tex]-b-b+5[/tex]
[tex]-b-b=-b+-b=-2b[/tex]
[tex]=-2b+5[/tex]
Question three:
[tex]50-9-8c+5[/tex]
[tex]50-9-8c+5=-8c+50-9+5[/tex]
[tex]-8c+50-9+5[/tex]
[tex]50-9=41[/tex]
[tex]-8c+41+5[/tex]
[tex]41+5=46[/tex]
[tex]=-8c+46[/tex]
Which means your answers are "8m - 2n, -2b + 5, and -8c + 46."
Hope this helps.
Derek and his friends drove from San Francisco to Lake Tahoe to go skiing. The average speed that they traveled during each leg of the trip is shown on the map. They drove 30 min in the city, 3 h on the highway, and 30 min up the mountain.
Write a piecewise function to represent the distance that Derek traveled during his four hour trip.
The piecewise function of the travel of the car is now described in detail:
[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex]
[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex], [tex]0.5\le t < 3.5[/tex]
[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex], [tex]3.5\le t \le 4[/tex]
How to build a piecewise function
A piecewise function is a group of functions working on certain intervals, which corresponds to three expressions in this case. Likewise, the car moves at constant speed and the resulting distance is equal to the sum of initial position ([tex]x_{o}[/tex]), in miles, and the product of speed (v), in miles per hour, and time (t), in hours.
Then, the piecewise function of the travel of the car is now described in detail:
[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex] (1)
[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex], [tex]0.5\le t < 3.5[/tex] (2)
[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex], [tex]3.5\le t \le 4[/tex] (3)
RemarkThe map with key information of velocities is missing. We proceed to show the required information:
City - 30 miles per hour
Highway - 60 miles per hour
Mountain - 45 miles per hour
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An employee receives a 2% raise once per year. If the employee's initial salary is $69,400.00, what will the employee's salary be after 17 years?
Please put in answers with no commas and round to 2 decimal places.
Step-by-step explanation:
first fine 2% of the initial salary since he is paid that every year
2/100×69400=2×694=1388
so for 17 years = 1388×17
=23596
the ratio of 20 paise to Rupees 1 is option 1:5, 2:1 , 20:1, 2:3
Answer:
1:5
Step-by-step explanation:
divide by 20 on both sides, 5 : 1.
What is the value of the expression when n = 3?
-2n(5+n-83n)
PLS HELPpppppppppppp ;0
Answer:
reflection
Step-by-step explanation:
by examination
Answer:
A reflection off the x axis
Step-by-step explanation:
Hope this helps!!!
Write the following as an inequality.
8 is greater than or equal to w, and w is greater than 4 use w only once in your inequality
Answer:
8 ≥ w > 4
Step-by-step explanation:
This says the w is greater or equal to 8 but it also says that w is greater than 4.
Answer:
8 ≥ w > 4
Step-by-step explanation:
Because 8 is greater than or equal to w, and w is greater than 4.
25 pts
A rectangular storage box is 12 in.
wide, 15 in. long, and 9 in. high. How
many square inches of colored paper
are needed to cover the surface of
the box?
Answer:
1,620
Step-by-step explanation:
L x W x H
L = 15
W = 12
H = 9
15 x 12 = 180
180 x 9 = 1620
5-2x > 3x-10
Solve the inequality
Answer:x<3 that shout be right. I calculated it.
Step-by-step explanation:
After eating at a restaurant, Mr. Jackson’s bill before tax is $42.50 The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter based on the pre-tax amount. Part A. How much is the tax?
Answer:
$3.40
Step-by-step explanation:
Look at image above...
If Jonah’s lunch cost $27.50, and he paid $1.65 sales tax. What is the percent of sales tax?
Answer:
6.38%
Step-by-step explanation:
To answer questions like these it helps to work backwards. We know that sales tax is an added percentage of the cost of a product onto total.
So we get this sort of image:
Total = Original Cost x (1 + %tax)
Now we can start putting the numbers from the question into this equation.
So we know the total:
27.50 = Original Cost x (1+%tax)
We know the original cost. It must be the total amount minus the amount of sales tax put on it. (27.50 - 1.65 = 25.85)
27.50 = 25.85 x (1+%tax)
Now we can start solving for "%tax".
(27.50/25.85) = 1 + %tax
1.0638 = 1 +%tax
1.0638 - 1 = %tax
0.0638 = %tax
6.38% = tax
The sales tax is 6.38%.
please help me please
Answer:
2/3
Step-by-step explanation:
Looking at the graph, it looks like the line goes through (6,10) and (-6,-8). We can "subtract" the points like so:
(6-(-6))/(10-(-8))
=12/18
=2/3
You can remember this trick as "rise over run".
I hope this solution helped you. Happy mathing!
The path from the whales to the sharks is parallel to the path from the penguins to the stingrays. What is the distance between the penguins and the stingrays? StartFraction 81 Over 7 EndFraction feet 28 feet 45 feet 63 feet.
The distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.
What is proportional segment between parallel lines?In two triangle in which the one side of the first triangle is parallel to the one side of the other triangle, two similar triangle formed.
Due to this similar triangle the segment formed by the parallel line are proportional segment.
The path from the whales to the sharks is parallel to the path from the penguins to the stingrays.
The map of the zoo is attached below.
The distance from whale to shark is 18 ft, and this side is parallel to the path from the penguins to the stingrays. Suppose the distance between the penguins and the stingrays is x meters.
Thus, in the given triangle, the ratio of these two sides will be equal to the ratio of their corresponding sides. Hence,
[tex]\dfrac{x}{18}=\dfrac{42}{27}\\x=\dfrac{42}{27}\times18\\x=28\rm\; ft[/tex]
Thus, the distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.
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Answer:
28
Step-by-step explanation:
Did on edge 2022
Can someone do this for me
Answer:
A - 10 feet
D - 5 seconds
Step-by-step explanation:
Insert 12 for r the radius and 1500 for V the volume.
12 = [tex]\sqrt{}\frac{3(1500)}{\pi h}[/tex]
Square both sides
144 = [tex]\frac{4500}{\pi h}[/tex]
Solve 144 = [tex]\frac{4500}{\pi h}[/tex]: h = [tex]\frac{125}{4\pi }[/tex]
h = [tex]\frac{125}{4\pi }[/tex] or 9.9 rounded to the nearest foot,
h = 10
t = [tex]\sqrt\frac{2(200)}{16}[/tex]
t = [tex]\sqrt\frac{400}{16} = 25[/tex]
t = [tex]\sqrt{5^{2} }[/tex]
t = 5
What is the approximate
volume of this cylinder? (radius is 3 cm and the height is 12 cm)
a. 36 cm3
b. 339 cm3
c. 226 cm3 1
d. 324 cm3
Answer:
a.36 cm³
Step-by-step explanation:
Explanation:- because 3 ×12 =36 so ans is 36cm³..hope helps u
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A computer was purchased at a sale at a discount of 15%. If $688.50 was paid for it,
and this price includes 8% sales tax, then what was the original price without tax or
discount?
Based on the discount rate and the sales tax, the original price of the computer was $750.
What was the original price?First find the price before tax. This can be found as:
= Computer price / (1 + tax)
= 688.50 / (1 + 8%)
= $637.50
Then find the price without the discount as:
= Price without tax / (1 - discount rate)
= 637.50 / (1 - 15%)
= $750
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Cora watched 30 movies for a combined total of 55 hours over her last summer break. Some of the movies were 1.5 hours long, and others were 2.5 hours long.
How many of Cora's movies were 2.5 hours long?
The number of movies that are 2.5 hours long that Cora watched is 10 hours.
What are the linear equations that represent this question?a + b = 30 equation 1
1.5a + 2.5b = 55 equation 2
Where:
a = movies that are 1.5 hours long
b = movies that are 2.5 hours long
How many movies are 2.5 hours long?Multiply equation 1 by 1.5
1.5a + 1.5b = 45 equation 3
Subtract equation 3 from 2
1b = 10 hours
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Damian owns a small business selling bagels. he knows that in the last week 40 customers paid cash, 66 customers used a debit card, and 18 customers used a credit card.
if next week, he is expecting 300 customers, about how many would you expect to pay with cash? round your answer to the nearest whole number.
Which expression is equivalent to 173. 1710 ?
A 173+10
th
(В
6 173-10
© 173.10
O
1710
Answer:
option C
Step-by-step explanation:
hope this help u
Donetta is investing $6000 in a stock fund that is offering a constant annual interest of 5%
Can you please help me quickly!!
Answer:
to struggle to succeed when chances are bad
Step-by-step explanation:
She got nervous and froze when she thought she was going to lose.
What is the value of x? (Please hurry)
Answer:
8 root 2 or 11.3
Step-by-step explanation:
square 16 and divide by two to find square of other sides. Then root it to find answer
Answer: 8 root 2 or 11.3
Step-by-step explanation:
square 16 and divide by two to find square of other sides. Then root it to find answer
Your friend operates a business and has the following demand curve. Complete the table, and use the information provided to find your friend’s profit-maximizing price and level of output
A demand curve shows the quantity demanded of a product at each price.
What is a demand curve?Your information is incomplete as the table isn't given. Therefore, an overview will be given.
A demand curve simply means a graphical representation of the relationship between price and quantity demanded.
In this case, a demand curve shows the quantity demanded of a product at each price. The profit maximizing price is when the marginal cost equals marginal revenue.
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The profit-maximizing price is when the marginal cost equals marginal revenue.
An individual’s utility-maximizing choices can lead to a demand curve.
What is the demand curve?Demand can be defined as the total amount of goods or services that consumers are willing and able to purchase at a given price.
In Economics, there are primarily two (2) factors that affect the availability and the price at which goods and services are sold or provided, these are demand and supply.
The marginal decision rule—generally produce downward-sloping demand curves.
This section shows how an individual’s utility-maximizing choices can lead to a demand curve.
Hence, The profit-maximizing price is when the marginal cost equals marginal revenue.
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The temperature in some region of Alaska equals 13 F. Convert this temperature to Celsius
Answer:
10.5* Celsius
Step-by-step explanation:
Its easy to do, this is the right answer
Find the quotient of 2. 5 × 10-3 and 7. 1 × 106. What can be concluded about the solution? Check all that apply. The E indicates that the solution is given in scientific notation. The coefficient is 3. 5211. The exponent is 10. The solution can be written in scientific notation as 3. 5211 × 10-10. The solution is 35,211,000,000.
Scientific notation is the way through which a very small or a very large number can be written in shorthand. The quotient of 2.5×10⁻³ by 7.1×10⁷ is 3.5211×10⁻¹¹.
What are Scientific notations?Scientific notation is the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5e+12.
We know we need to divide 2.5×10⁻³ by 7.1×10⁷. Therefore, if we divide the two numbers the solution will be,
[tex]\dfrac{2.5 \times 10^{-3}}{7.1 \times 10^7}\\\\ = \dfrac{2.5}{7.1} \times 10^{-3-7}\\\\= 0.35211 \times 10^{-10}\\\\= 3.5211 \times 10^{-11}[/tex]
Hence, the quotient of 2.5×10⁻³ by 7.1×10⁷ is 3.5211×10⁻¹¹.
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Answer:
A. The E indicates that the solution is given in scientific notation.
B. The coefficient is 3.5211.
D. The solution can be written in scientific notation as 3.5211 × 10^-10
Step-by-step explanation:
Edge 2023
Chloe is installing new windows in her house and needs to determine the amount of sealant she will need around the outside edge of each rectangular window. Each of the windows has an area of 2,160 Inches squared with a length of 60 inches. What is the perimeter of each window?
To find the width of each window, use the formula w = StartFraction A Over l EndFraction, where w represents the width, A represents the area, and l represents the length. To find the perimeter, use the formula P = 2 l + 2 w, where P represents the perimeter, l represents the length, and w represents the width.
Answer:
240
Step-by-step explanation:
because each side is 60 inches so do 60x4 and you get 240
Answer:
Option D!
Step-by-step explanation:
Hope this helps.
What is the perimeter of a square with a side length of 7 cm?
A. 7 cm
B. 14 cm
C. 21 cm
D. 28 cm
Answer:
D. 28 cm
Step-by-step explanation:
P=4s
P=4(7)
P=28
Answer:
D. 28cm
Step-by-step explanation:
P = 4s
P = 4(7cm)
P = 28cm
=> D. 28cm
5.5x = 11? Please help. :c
Answer:
The value x would equal to 2
11 divided by 5.5 = 2
5.5 x 2 =11
Step-by-step explanation:
Have a great rest of your day
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19
The diagram shows a quadrilateral JKLM.
7 cm
K
J
4.5 cm
M
15 cm
L
Work out the size of angle KLM.
Give your answer correct to 3 significant figures.
Answer:
Step-by-step explanation:
find the area of a square if its side length is:
Part A. 1/5 cm
Part B. 3/7 units
Part C. 11/8 inches
Part D. 0.1 meters
Part E. 3.5 cm
The area of each given square is:
Part A: 1/4 cm²
Part B: 9/47 units²
Part C: 1.89 inches²
Part D: 0.01 meters²
Part E: 12.25 cm²
What is the Area of a Square?Area of a square, with side length, s, is: A = s².
Part A:
s = 1/2 cm
Area = (1/2)² = 1/4 cm²
Part B:
s = 3/7 units
Area = (3/7)² = 9/47 units²
Part C:
s = 11/8 inches
Area = (11/8)² = 1.89 inches²
Part D:
s = 0.1 meters
Area = (0.1)² = 0.01 meters²
Part E:
s = 3.5 cm
Area = (3.5)² = 12.25 cm²
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