A line passes through the point (d, d) and has a slope of k. Which equation models the line?
Find an equation for the line with the given properties. Express the equation in slope-intercept form. Containing the points Upper P equals (-1, 3) and Upper Q equals (1, 0)
Compound interest £2000 for 3 years 5.5% annum
Solve the equation 6x + 3y = 15 for y. What does y equal if x = 2? If x = 5?
june is working on an addition problem and starts with 17,985. after she adds, she still has 17,985. which property od addition did june use
An oil storage tank is a cylinder 30 feet high. The base of the tank is a circle with a diameter of 50 feet. When full, how many gallons are in the tank? 1 gallon equals approximately 0.13 cubic feet.How many gallons are in the tank?
Answer: 7653.75 gallons
Step-by-step explanation:
Given : Height of cylinder = 30 feet
Diameter : d= 50 feet
Radius : [tex]r=\dfrac{d}{2}=\dfrac{50}{2}=25\text{ feet}[/tex]
The volume of a cylinder is given by :-
[tex]V=\pi r^2 h\\\\\Rightarrow\ V=(3.14)(25)^2(30)\text{ cubic feet}[/tex]
Also, 1 gallon equals approximately 0.13 cubic feet.
Then , the number of gallons of water in the tank :-
[tex]V=(3.14)(25)^2(30)(0.13)=7653.75\text{ gallons}[/tex]
A bear, awakening from winter hibernation, staggers directly northeast for 15 m and then due east for 15 m. Show each displacement graphically and graphically determine the single displacement that will take the bear back to her cave to continue her hibernation.
The total displacement east is:
15 cos(45) + 15
= 25.607 m
The total displacement north is:
15 sin(45)
= 10.607 m
The magnitude of the total displacement is:
sqrt(25.607^2 + 10.607^2)
= 27.717 m = 27.7 m
Its direction is N x E where:
tan(x) = 25.607 / 10.607
x = 67.5 deg
The return displacement is therefore of the same magnitude
but in the opposite direction.
Displacement 27.7 m, direction S 67.5 deg W
is 11:17 equivalent to 17:11
Answer:
No
Step-by-step explanation:
If these are time values, ...
11:17 is about 5 hours 54 minutes earlier than 17:11.
___
If these are ratios, ...
11/17 is less than 1, whereas 17/11 is greater than 1
Each is the inverse of the other.
Country A produces about eight times the amount of diamonds in carats produced in country B. If the total produced in both countries is 9,000,000 carats, find the amount produced in each country
Starting from the same place, Sara walks due west and Ammad walks due east. On the number line, 0 represents their starting point, negative values represent the distance traveled west and positive values represent the distance traveled east. A number line with a point for Ammad at coordinate 480 and a point for Sara at coordinate -240. How many feet apart are Sara and Ammad on the number line? Enter your answer in the box.
It's 720, because all you need to do is 240 + 480 = 720.
Hope it helps,
For the equation, 2x^4 -5x^3+10=0 find the number of complex roots and the possible number of real roots.
A. 3 complex roots; 0, 2 or 4 real roots
B. 3 complex roots; 1 or 3 real roots
C. 4 complex roots; 0, 2 or 4 real roots
D. 4 complex roots; 1 or 3 real roots
2) Mr. Somers had twenty pieces of metal that were all the same length. If each piece of metal was 3 1/5 inches long and he put them side by side, what would be the total length of all the pieces together?
-0.6, -5/8, -7/12, -0.72 least to greatest
3/5 of 40 dollar restaurant
Which of the following is not an isometry?
rotation
dilation
translation
Answer:
B. Dilation.
Step-by-step explanation:
We are asked to find which transformation is not isometric.
We know that isometry preserves length.
We know that the length of a figure remains unchanged after rotation and dilation as they preserves length.
We also know that dilation either enlarges length or shrinks length of a figure, therefore, the correct choice is dilation.
The service elevator in a high-rise building travels between the lowest underground parking level and the seventeenth story of the building. The lowest parking level is 15 meters below street level, and the seventeenth story is 51 meters above street level. If the elevator rises at a rate of 2 meters per second, how long, in seconds, could a person ride the elevator when starting from the lowest level? Assume the elevator makes no extra stop.
15 +51 = 66 meters total
66 /2 = 33 seconds
and that is your answer
The person will reach to the seventeenth in 33 seconds.
Given that,
The lowest parking level is 15 meters below street level, and the seventeenth story is 51 meters above street level.
To determine how long, in seconds, could a person ride the elevator when starting from the lowest level.
Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
Here,
Total height to cover = height of lowest parking to street level + height of 17 stories from street level.
Total height = 15 + 51
Total height = 66 meters
Time to reach to the 17th story
Speed = distance / time
2 = 66 / time
time = 66 / 2
Time = 33 seconds
Thus, the person will reach to the seventeenth in 33 seconds.
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Find a parametric representation of the solution set of the linear equation. (enter your answer as a comma-separated list of equations. use s and t as your parameters.) x + y + z = 2
The parametric representation of the solution set for the equation x + y + z = 2 is x = t, y = 2 - s - t, z = s, with 's' and 't' as the parameters.
Explanation:To find the parametric representation of the solution set of the linear equation x + y + z = 2, we first need to express two variables in terms of the third. Let's use 's' and 't' as parameters.
We can express x and y in terms of z. Let's express z as 's'. So, z = s.
The equation x + y + z = 2 thus becomes x + y = 2 - s. We can choose x = t and y = 2 - s - t.
So, the parametric representation of the solution set for the given linear equation is (x = t, y = 2 - s - t, z = s), where 's' and 't' are parameters that can assume any real value.
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A cell phone that is on sale for $70 has a markdown of 45% off the regular price. What is the regular price of the cell phone? Round to the nearest cent.
The ordered pair (–2, –4) is a solution of which system?
The given ordered pair is the solution of y ≤ x + 2 and y ≥ x - 3. Option E is correct.
As of the given numeral, The ordered pair (–2, –4) is a solution of which system is to be determined.
What is inequality?Inequality is defined as the relationship of an equation containing the symbol ( ≤, ≥, <, >) instead of the equal sign.
here,
(–2, –4) is a solution of y ≤ x + 2 and y ≥ x - 3,
Proof,
Substitute this ordered paired in the inequality,
-4 ≤ -2 + 2
-4 < 0
and
-4 ≥ -2 - 3
-4 > -5
Thus, the ordered pair supplied is the solution of y x + 2 and y x - 3. Option E is the right answer.
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Find the mean of the data set. If necessary round to nearest tenth. 18.1,17.9,16.8,18.7,15.1
358=15n+85 what does n equal
5 minus the product of V and 7
347,456 round to the place value of the underlined digit. The four being in the ten thousand places
ymnast Clothing manufactures expensive soccer cleats for sale to college bookstores in runs of up to 500. Its cost (in dollars) for a run of x pairs of cleats is
C(x) = 3250 + 5x + 0.1x2 (0 ≤ x ≤ 500).
Gymnast Clothing sells the cleats at $110 per pair. Find the revenue and profit functions. How many should Gymnast Clothing manufacture to make a profit?
Find the determinant of the n×n matrix a with 's on the diagonal, 's above the diagonal, and 's below the diagonal
Ms. Ache is paid $1250 per week but it's fined $100 each day she is late to work Ms.A che wants to make at least $3,000 over the next three weeks so she can take a vacation. over the next three weeks, what is the maximum number of days she can be late to work and still reach her goal of making at least $3000?
Answer:
7 days
Step-by-step explanation:
Given: Ms. Ache is paid $1250 per week but it's fined $100 each day she is late to work.
To Find: maximum number of days she can be late to work and still reach her goal of making at least $3000?
Solution:
per week payment of Ms. Ache =[tex]\$[/tex] [tex]1250[/tex]
Fine for getting late a day = [tex]\$[/tex] [tex]100[/tex]
let number of days Ms. Ache gets late = [tex]\text{x}[/tex]
Amount Ms. Ache wants to make in three weeks = [tex]\$[/tex] [tex]3000[/tex]
maximum earning potential of Ms. Ache in 3 weeks = [tex]1250\times3[/tex]= [tex]\$[/tex] [tex]3750[/tex]
Net earning = maximum earning potential of Ms. Ache in 3 weeks - total fine
=[tex]\$ 3750 - 100\text{x}[/tex]
To reach a goal of [tex]\$[/tex] [tex]3000[/tex]
[tex]\$ 3750 - 100\text{x}[/tex] ≥ [tex]3000[/tex]
[tex]100\text{x}[/tex]≤[tex]750[/tex]
[tex]\text{x}\leq 7[/tex]
Maximum number of days she can be late to work and still reach her goal of making at least $3000 is [tex]7[/tex] [tex]\text{days}[/tex]
One positive number is 1/5 of another number. The difference between the two numbers is 60. Find the numbers.
Answer:
15 and 75Step-by-step explanation:
[tex]n-second\ number\\\\\dfrac{1}{5}n-first\ number\\\\n-\dfrac{1}{5}n=\dfrac{4}{5}n-difference\ between\ the\ two\ numbers\\\\\text{Equation:}\\\\\dfrac{4}{5}n=60\qquad\text{multiply both sides ny 5}\\\\\not5\cdot\dfrac{4}{\not5}n=(5)(60)\\\\4n=300\qquad\text{divide both sides by 4}\\\\\dfrac{4\!\!\!\!\diagup n}{4\!\!\!\!\diagup}=\dfrac{300}{4}\\\\n=75\\\\\dfrac{1}{5}n=\left(\dfrac{1}{5}\right)(75)=\dfrac{75}{5}=15[/tex]
The two positive numbers are 15 and 75 respectively.
What is an expression?
Expression in mathematics is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Let the two numbers be x and y respectively. Now let corelate the statement given in question :
One positive number is 1/5 of another number which means x=(1/5) y
and, it is also given that the difference between the two numbers is 60 which means y -x = 60. Now solving these question by substitution method.
y-x = 60
5x-x= 60
4x = 60
x = 15
y = 75
Therefore, the two positive numbers are 15 and 75 respectively.
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what is The cost per unit?
When given an algebraic expression involving subtraction, why is it best to rewrite the expression using addition before identifying the terms?
Evaluate. 7^2 - 3 + 9 × 8 ÷ 2
w =