Answer:
The correct answer is C
Step-by-step explanation:
In a function, no two ordered pair has the same first element. if you check all the Rest, they have one or more two ordered pairs having the same first element. But C has unique first ordered elements, -1, 4, 1 and -3
A parking garage in the city charges $2.75 for the first hour and S1 25 for each additional hour or part thereof. What is the maximum time in hours, x, that Tony can park his car at the garage if he wants to
pay less than $8?
A Or<4
BO2<5
CO2<6
Dr<7
Answer: The first hour is free, and the rest charges is $2.50
Let x be the time.
Let y be the total
Your equation will look like
When x < 2, y = 0
When x > 1, y = $2.50(x)
So:
1 < x < ∞ for hours, then equation will look like:
y = total amount
$2.50 is cost (remember that the first hour is for free, and so you subtract $2.50 from the total.
$2.50x - $2.50 = y should be your equation.
hope this helps
Step-by-step explanation:
Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 â€"" 2m6 5m2n4 â€"" m3n3 n6 â€"" 4m6 9m2n4 â€"" mn5 â€"" 4m3n3 n6 7mn5 14m2n4 â€"" 5m3n3 â€"" 6m6 â€""2m6 â€"" 5m3n3 14m2n4 7mn5 n6 14m2n4 7mn5 â€"" 6m6 â€"" 5m3n3 n6 n6 â€"" 6m6 7mn5 14m2n4 â€"" 5m3n3.
The standard form of the polynomial function is \(-6m^6+n^6+7mn^5+14m^2n^4-5m^3n^3\).
The polynomial given is
\(8mn^5-2m^6+5m^2n^4-m^3n^3+n^6-4m^6+9m^2n^4-mn^5-4m^3n^3\)
Let us rearrange the expression as,
\(-2m^6-4m^6+n^6+8mn^5-mn^5+5m^2n^4+9m^2n^4-m^3n^3-4m^3n^3\)
Simplifying the above expression as,
\(-6m^6+n^6+7mn^5+14m^2n^4-5m^3n^3\)
The above expression of the polynomial function is in its standard form.
Hence, the standard form of the polynomial function is \(-6m^6+n^6+7mn^5+14m^2n^4-5m^3n^3\).
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Identify the type of function explain
Step-by-step explanation:
it is a quadratic function
it is because it satisfies the equation f(x)= -3-5x+4x^2
Read the problem below. Type in your answer on the box.
The length of a rectangle is (3x - 1) and its width is ( 2x + 5). What is the area of the rectangle?
Answer:
3x^2 + 13x - 5
Step-by-step explanation:
To find the area, you multiply the length by width. So its is (3x - 1) * (2x + 5)
Then distribute. (3x * 2x) + (3x *5) + (-1 *2x) + (-1 * 5)
So 3x^2 + 15x -2x -5
Final Answer: 3x^2 + 13x - 5
Answer:
30 INCHES
Step-by-step explanation:
Find the value of x.
9.
10.
(3x)"
75°
11.
12.
x + 5
60°
21
4x + 1
30°
30
60°
60°
PLEASE HELP!!
tommy goes swimming every 12 days and hiking every 5 days he did both today how many days from now will he do both again
Answer:
60 days
Step-by-step explanation:
60 is the lowest number divisible by both 12 and 5
Please answer fast! (10 points)
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Line m has no y-intercept, and its x-intercept Is (3, 0). Line n has no x-intercept, and its y-intercept Is (0, -4).
The equation of line m is ____
and the equation of line n is ____
Answer:
can u show me a picture of this problem.
Step-by-step explanation:
5. State if the following statements are true or false. If true, give a 1-3 line explanation; otherwise, provide a counter example or explanation. No rigorous formal justification needed. (a) The set {x∈R
n
∣Ax=b} is convex, where A∈R
m×n
,b∈R
m
. (b) The set {(x
1
,x
2
)∣x
2
≤3x
1
2
} is convex. (c) All polygons on the R
2
plane are convex. (Hint: A polygon is a plane figure formed with straight line segments.) (d) If S⊆R
2
is convex, then S must enclose a region of finite area. (e) If S
1
,S
2
⊆R
2
and S
1
∩S
2
=ϕ, then S
1
∪S
2
must be non-convex. (f) If S
1
,S
2
⊆R
2
and both S
1
,S
2
are closed, then S
1
∪S
2
must be non-convex.
(a) False. The set {x∈R^n | Ax=b} is not necessarily convex. It depends on the matrix A and the vector b. For example, if A is a non-convex matrix, then the set of solutions {x∈R^n | Ax=b} will also be non-convex.
(b) True. The set {(x₁,x₂) | x₂ ≤ 3x₁²} is convex. The inequality defines a downward parabolic region, and any line segment connecting two points within this region will lie entirely within the region. (c) False. Not all polygons on the R² plane are convex. For example, a polygon with a concave portion, such as a crescent shape, would not be convex.
(d) True. If S⊆R² is convex, then it must enclose a region of finite area. Convex sets do not have "holes" or disjoint parts, so they form a connected and bounded region. (e) False. If S₁⊆R² and S₂⊆R², and S₁∩S₂=ϕ (empty set), then S₁∪S₂ can be convex. If S₁ and S₂ are both convex sets that do not overlap, their union can still be a convex set. (f) True. If S₁⊆R² and S₂⊆R² are both closed sets, then their union S₁∪S₂ must also be closed. However, it may or may not be convex. The convexity of the union depends on the specific sets S₁ and S₂.
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Lines k and I are parallel and cut by transversal j.
Which statement is a valid conclusion?
A.<6 and <7 are complementary
B. <4 and <8 form a linear pair
C. <1 and <2 are congruent
D.
<2 and <7 form vertical angles
Answer:
D.
<2 and <7 form vertical angles
Can someone tell me the answers wit shown work or something
Step-by-step explanation:
1) solution
Hypotenous(h)=?
perpendicular(p)=16
base(b)=12
By using formula
h^2 = p^2 + b^2
h^2 = 16^2 + 12^2
h^2 = 256 + 144
h^2 = 400
h^2 = 20^2
h = 20
therefore hypotenous (h) is 20
2) solution
hypotenous = (?)
perpendicular=(77)
base=(36)
by using formula
h^2 =p^2 + b^2
h^2=77^2+ 36^2
h^2=5929+1296
h^2=7225
h^2=85^2
h=85
therefore hypotenous (h) is 85
A student divided 5 feet of ribbon into 3 equal parts. Which type of number describes the length of each part? *
1.whole number
2.integer
3.rational number
4.irrational number
Answer:
I'd say 3,tbh
Hope this helps :)
Order the Steps of Constructing a Circumscribed Circle of a Triangle
help pls
A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below.
Three of the sides will require fencing and the fourth wall already exists.
If the farmer has 152 feet of fencing, what are the dimensions of the region with the largest area?
Answer:
where is the figure?? thanks
At 1:00 PM the water level in a pool's is 13 inches. At 2:30 pm the water level is 28 inches what is the constant rate of change
ANSWER
1/6 or 0.167 inches per minute
EXPLANATION
We want to find the constant rate of change of the water level.
To do this, we have to find the difference in water level, find the time taken, then divide the former by the latter.
Difference in water level is:
D = 28 - 13 = 15 inches
The time difference is:
H M
2 : 30
- 1 : 00
1 : 30
That is 1 hour 30 minutes.
In minutes, that is:
(60 * 1) + 30 = 60 + 30 = 90 mins
So, the constant rate of change of water level is:
\(\begin{gathered} \text{Rate = }\frac{15}{90} \\ \text{Rate = 1/6 or 0.167 inches per minute} \end{gathered}\)That is the constant rate of change of water level.
Make h the subject of the formula
\(s = 2\pi \: r(r + h)\)
Answer:
\(h = \frac{s}{2pir} -r\\\)
Step-by-step explanation:
\(s = 2pir(r+h)\\\frac{s}{2pir} = r+h\\h = \frac{s} {2pir} -r\)
To make h subject of the formula ,
Step 1 : Divide both sides by 2pir to isolate (r+h)
Step 2 : Move r to the other side of the equation to isolae h
Answer :
h = s/2pir -r
Answer:
\( h = \frac{s}{2\pi \: r} - r \\ \)
Step-by-step explanation:
\(s = 2\pi \: r(r + h) \\ \frac{s}{2\pi \: r} = \frac{2\pi \: r(r + h)}{2\pi \: r} \\ \frac{s}{2\pi \: r} = r + h \\ \frac{s}{2\pi \: r} - r = h\\ \)
hope this helps
brainliest appreciated
good luck! have a nice day!
Which of the following is true?
Answer:
last option
Step-by-step explanation:
1.3333.... is a rational number but not an integer
Hope this helps
An oxygen ion (O+) moves in the xy-plane with a speed of 2.00 ✕ 103 m/s. If a constant magnetic field is directed along the z-axis with a magnitude of 4.25 ✕ 10−5 T, find the magnitude of the magnetic force acting on the ion and the magnitude of the ion's acceleration. (a) the magnitude (in N) of the magnetic force acting on the ion N (b) the magnitude (in m/s2) of the ion's acceleration m/s2
a. The magnitude of the magnetic force acting on the ion is 1.72 × 10⁻¹⁴ N.
b. The magnitude of the ion's acceleration is 6.48 × 10¹¹ m/s².
What is magnetic field?The area in which the force of magnetism acts around a magnetic material or a moving electric charge is known as the magnetic field.
The magnetic force on a charged particle moving in a magnetic field is given by the formula:
F = q v B sin θ
where:
- F is the magnetic force acting on the particle
- q is the charge of the particle
- v is the velocity of the particle
- B is the magnetic field strength
- θ is the angle between the velocity vector and the magnetic field vector
In this problem, the oxygen ion has a charge of +1.6 × 10⁻¹⁹ C and is moving with a speed of 2.00 × 10³ m/s in the xy-plane. The magnetic field is directed along the z-axis with a magnitude of 4.25 × 10⁻⁵ T. Since the velocity vector is perpendicular to the magnetic field vector, the angle between them is 90°, so sin θ = 1.
(a) The magnitude of the magnetic force on the oxygen ion is:
F = q v B sin θ = (1.6 × 10⁻¹⁹ C) × (2.00 × 10³ m/s) × (4.25 × 10⁻⁵ T) × 1 = 1.72 × 10⁻¹⁴ N
Therefore, the magnitude of the magnetic force acting on the ion is 1.72 × 10⁻¹⁴ N.
(b) The magnitude of the ion's acceleration can be found using the formula:
a = F/m
where:
- a is the acceleration of the particle
- F is the magnetic force acting on the particle
- m is the mass of the particle
The mass of an oxygen ion is approximately 2.66 × 10⁻²⁶ kg.
So, the magnitude of the ion's acceleration is:
a = F/m = (1.72 × 10⁻¹⁴ N) / (2.66 × 10⁻²⁶ kg) = 6.48 × 10¹¹ m/s²
Therefore, the magnitude of the ion's acceleration is 6.48 × 10¹¹ m/s².
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The distance d (in ft) required to stop a car that was traveling at speed v (in mph) before the brakes were applied depends on the amount of friction between the tires and the road and the driver's reaction time. After an accident, a legal team hired an engineering firm to collect data for the stretch of road where the accident occurred. Based on the data, the stopping distance is given by d=0.03y2 +2.1v. (a) Determine the distance required to stop a car going 100 mph. Round to the nearest foot. (b) Up to what speed could a motorist be traveling and still have adequate stopping distance to avoid hitting a deer 360 ft away? Round to the nearest mile per hour. Part: 0/2 Part 1 of 2 (a) It will take a distance of ft to stop a car going 100 mph.
The assumption of y being 1, it would take approximately 210.03 feet to stop a car going 100 mph.
To determine the stopping distance of a car going 100 mph, we can use the given equation d=0.03y^2 +2.1v, where d represents the stopping distance in feet and v represents the speed in mph.
Plugging in the value of v as 100 mph into the equation, we get:
d = 0.03y^2 + 2.1(100)
d = 0.03y^2 + 210
To find the value of d, we need to know the value of y, which represents the friction between the tires and the road. Unfortunately, the question does not provide this information. Hence, we cannot accurately determine the distance required to stop the car going 100 mph without knowing the value of y.
However, if we assume a reasonable value for y, we can calculate an approximate stopping distance. Let's say we assume y to be 1, then the equation becomes:
d = 0.03(1)^2 + 210
d = 0.03 + 210
d = 210.03
However, it's important to note that this value may vary depending on the actual value of y, which is not given.
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Sam is learning the ancient art of kite making. He has determined that his first kite will have diagonals of 24 inches and 25 inches. Determine the area of the kite.
75 in2
150 in2
300 in2
600 in
Answer: d
Step-by-step explanation:
Answer:
300
Step-by-step explanation:
Write each fraction as a mixed number.
3 4/9
43/9
32/5
The value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.
What is a mixed fraction?A mixed fraction is a fraction that is created by fusing a fraction with a whole number. The fraction is defined as the division of the whole part into an equal number of parts.
The given fractions 34/9, 43/9, and 32/5 can be written in the form of the mixed fraction as below:-
To write the fractions in the form of the mixed fraction first divide the fraction by the complete number and put the remainder on the numerator.
34/9 = 3(⁷/₉)
43/9 = 4(⁷/₉)
32/5 = 6(²/₅)
Therefore, the value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.
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Those with celiac disease must avoid cakes, cupcakes, pizza dough and tortillas unless the product is gluten free
A.True
B.False
Express the ratio below in its simplest form
12:6
Answer:
12/6 simplified to lowest terms is 2/1.
Step-by-step explanation:
Divide both the numerator and denominator by the HCF
12 ÷ 6
6 ÷ 6
Reduced fraction:
12/6 simplified to lowest terms is 2/1.
Answer: 2:1
Step-by-step explanation:
12:6
Both left and right can be divided by 6, like a fraction, reduce.
= 2:1
Question Graph the linear function d(x)=−1/2x−3.
Answer:
Step-by-step explanation:
The required graph of the given function d(x)=−1/2x−3 has been shown.
Given that, to plot the graph of the linear function, d(x)=−1/2x−3.
What is the graph?
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
The graph of the liner function d(x)=−1/2x−3 can be plot by putting the values of the x in the equation which gives the value of y by calculating such an ordered pair we can plot the curve of the liner equation on the graph. i.e.
At x = 0
d(0) = -1/2 * (0) - 3
d(0) = -3
So, the ordered pair will be (0, -3).
Now, put x = 2
d(2) = -1/2 * 2 - 3
d(2) = -1 - 3
d(2) = - 4
So the ordered pair will be (2, -4)
joining these two points will show the graph of the given equation d(x)=−1/2x−3.
Thus, the required graph of the given function d(x)=−1/2x−3 has been shown.
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write X^2+4x+5 in the form (x+a)^2-b
Answer:
(x + 2)² + 1
Step-by-step explanation:
Given
x² + 4x + 5
To express in vertex form use the method of completing the square
add/ subtract ( half the coefficient of the x- term)² to x² + 4x
= x² + 2(2)x + 4 - 4 + 5
= (x + 2)² + 1 ← in vertex form
Can someone help me on this question? Ill give brainliest if you answer.
The graph below represents which system of inequalities?
Answer:
i think C
Step-by-step explanation:
one of the lines is doted so then <_ means
6 m
6 m
3 m
6 m
6 m
o
108 m
144 m
144 m
100 m
Other
in an arithmetic sequence, the sum of the first n terms is s_n=n^2. find a_8
i'm not sure how to do this, so yeah
Answer:
\(a_{8} = 15\)
Step-by-step explanation:
\(a_{1} + a_{2} + ..... + a_{7} + a_{8} = 8^{2} = 64\)
\(-a_{1} - a_{2} ..... - a_{7} = - 7^{2} = -49\) Now add the two equations
\(a_{8} = 64 - 49 = 15\)
\(a_{8} = 15\)
Determine the length of the missing side in the triangle shown.
right triangle with one leg labeled 13 and hypotenuse labeled 16
square root of 425
square root of 3
square root of 29
square root of 87
hypotenuse = 16
perpendicular = 13
base= ?
By using pythogoras theroem :
H² = P² + B²
16² = 13² + B²
256 = 169 + B²
B² = 256 -169
=87
B² = 87
B = √87
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Answer: The correct answer is D - square root of 87
Step-by-step explanation: I took the test and I got it right.
Have a good day/night :)
HELP ASAP!!! Solve for x if the figure is a rectangle. (Attachment) ignore my attempt
The value of x that makes the given image to be a rectangle is: x = 2.5
How to find the length of the diagonal of a rectangle?The length of the diagonals of a rectangle are equal and congruent to each other. It is also pertinent to note that the diagonals of a rectangle bisect each other at the center. Thus:
From the given parameters, we see that half of the diagonals have been labelled and as such we have:
8x - 3 = 4x + 7
Rearrange to have like terms on same side and so we have:
8x - 4x = 7 + 3
4x = 10
x = 10/4
x = 2.5
Thus, the value of x from the calculation above of the rectangle is 2.5
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Question 3
~ True or false?
Answer:
It is true
Step-by-step explanation:
20/-7 is ~2.56
-2.8 (8 repeating) is -2.8......
So it is true
Hope this helps!
Answer:
True
Step-by-step explanation: