Davontae is attending a local festival downtown. He plans to park his car in a parking garage that operates from 7:00 a.m. to 7:00 p.m. and charges $3 for the first hour and. $2 for each additional hour or part of an hour of parking (for example, 2 hours 15 minutes would be charged as 3 hours). When creating a linear graph that represents the relationship between the price and number of hours parked, what would be an appropriate domain and range for the given situation?
The domain and range is calculated to be
domain { x | 0 ≤ x ≤ 12 }
range (3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25 }
How to find an appropriate domain and range for the given situationThe situation described has the following information deduced form the problem
a parking garage that operates from 7:00 a.m. to 7:00 p.m.
from 7:00 a.m. to 7:00 p.m = 12 hours
hence form 0 to 12 is the domain
and charges $3 for the first hour and. $2 for each additional hour or part of an hour of parking
this means that the y intercept is 3 and the slope is 2, hence the equation of the line is
y = 2x + 3
The range is calculated as follows, since 11.59 is counted as 12 we take 11
at x = 0, y = 2 * 0 + 3 = 3
at x = 11, y = 2 * 11 + 3 = 25
the range is calculated to be 3 to 25
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Which expression is equivalent to a - b?
The expression that is equivalent to a + b will be 3x + 3.
How to illustrate the expression?It's important to note that an expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.
In this situation, the value of a = 2x and b = x + 3. The expression that is equivalent to a + b will be:
= a + b
= 2x + x + 3
= 3x + 3.
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The value of a = 2x and b = x + 3. Which expression is equivalent to a - b?
HELP PLEASE!!!!!!!!!!
Answer:
Step-by-step explanation:
In order to answer this question, we need to know what PEMDAS stands for.
Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.
Now using this order, we can solve.
There isn't any parenthesis.
There is an exponent, [tex]5^{3}[/tex].
Let's solve this.
5 × 5 × 5 = 125
Our equation now looks like this:
125 + 28 ÷ 7 - 1
There isn't any multiplication for us to solve.
There is division.
28 ÷ 7 = 4
Now our equation looks like this:
125 + 4 - 1
Now it's time for addition.
125 + 4 = 129
Now our equation looks like this:
129 - 1
Now all we need to do is subtraction.
129 - 1 = 128
The final answer is 128.
A bag of cat food has 16 1/2 cups of food. Cupcake (the cat) eats 1 1/2 cups a day. How many days will the bag of cat food last?
Answer:
Step-by-step explanation:
11
For each equation, state whether there is no solution, one solution, or infinitely many
solutions. Explain your reasoning
Equations
1/3x - 6 = 1/3(x-3) - 5
8x + 7 = -8x + 7
0.8x + 14 = 0.8x
The number of solutions of each of the given linear equations are;
1) No solution
2) One solution
3) No solution
How to solve linear equations?1) We are given the equation;
¹/₃x - 6 = ¹/₃(x - 3) - 5
Expanding the bracket gives us;
¹/₃x - 6 = ¹/₃x - 1 - 5
The value that has the variable x is equal on both sides and so will cancel out leaving us with no solution.
2) 8x + 7 = -8x + 7
Add 8x to both sides to get;
16x + 7 = 7
subtract 7 from both sides to get;
16x = 0
x = 0
This has only one solution
3) 0.8x + 14 = 0.8x
The value attached to the variable on both sides are equal and so we say that this has no solution.
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Make a the subject of the formula v = u + at.
Hence, find the value of a when t = 4, u = 10 and v=50.
Step-by-step explanation:
v = u + at
v-u = at
a = (v -u)/t
When t = 4, u=10, v=50
a = (50-10)/4
a= 40/4
a = 10
A cylinder has a height of 7
meters and a diameter of 6 meters.
What is its volume? Use ≈ 3.14
and round your answer to the
nearest hundredth.
cubic meters
Answer:
[tex]V=197.82 m^{3}[/tex]
Step-by-step explanation:
The volume of a cylinder is defined by [tex]\pi r^{2} h[/tex], where [tex]\pi r^2[/tex] represents the area of its base (which is just a circle) and [tex]h[/tex] the height of the cylinder. Think of a rectangle. The formula for its volume is simple [tex](base)(width)(height)[/tex]. In this case, base and width are [tex]\pi r^2[/tex], and the height is simply [tex]h[/tex].
Knowing this information, we can solve for the volume:
Diameter = 6 m . Radius is half of the diameter. So Radius, r, = 3 m.
Height = 7 m.
Now we plug into the equation, such that [tex]\pi =3.14[/tex]:
[tex]V=(3.14)(3)^2(7)[/tex]
[tex]V=197.82 m^{3}[/tex]
Answer:
[tex]V=197.82[/tex]
Step-by-step explanation:
[tex]Given,\\H=7m\\D=6\\R=?\\[/tex]
So we need to find the radius with the Formula,
[tex]r=\frac{d}{2}[/tex]
[tex]r=3m[/tex]
Now we need to find the volume of the cylinder by the Formula,
[tex]V=\pi r^{2}h[/tex]
[tex]V=3.14X(3)^{2}(7)[/tex]
[tex]V=3.14X63\\V=197.82[/tex]
Hope it helps u
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Describe the transformation of f(x) = x^2 represented by g(x) = 2(x-3)^2+4
Answer:
Step-by-step explanation:
The transformation represented by g(x) = 2(x-3)^2+4 is a parabolic stretch of the function f(x) = x^2.
The function f(x) = x^2 is a parabola with vertex at (0, 0). The transformation represented by g(x) = 2(x-3)^2+4 stretches this parabola horizontally by a factor of 2, shifting it 3 units to the right and 4 units up.
The resulting function g(x) = 2(x-3)^2+4 is a parabola with vertex at (3, 4). It is the graph of f(x) = x^2 that has been stretched horizontally by a factor of 2, shifted 3 units to the right, and 4 units up.
Five batch jobs, a through e, arrive at a computer center at essentially the same time. They have an estimated running time of 15, 9, 3, 6 and 12 minutes, respectively. Their (externally defined) priorities are 6, 3,.
A to E have an estimated running time of 15, 9, 3, 6, and 12 minutes, respectively. Average turnaround time for a quantum of one minute and four minutes is calculated to be 32.2 minutes and 97.4 minutes respectively.
Turnaround time (TAT) is the period of time between when a process is submitted and when it is finished. It can alternatively be viewed as the total of the times spent waiting to execute on the CPU, waiting in the ready queue or memory, and waiting to execute input or output. An essential parameter for assessing an operating system's scheduling algorithms is turnaround time.
a) For each process the turnaround time is
A= 45 minutes b= 35 minutes
C= 13 minutes D= 26 minutes
E= 42 minutes
The average time will be
[tex]\frac{45+35+13+26+42}{5} = 32.2 minutes[/tex]
b) For a quantum of 4 minutes
[tex]\frac{19+31+39+42}{5} = 97.4 minutes\\[/tex]
c) The average turnaround time can be calculated to be
[tex]\frac{9+21+36+39+45}{5} = 30 minutes[/tex]
d)The average turnaround time is
[tex]\frac{15+24+27+33+45}{5} = 28.8 minutes[/tex]
e) The average turnaround time is
[tex]\frac{3+9+18+30+45}{5} = 21 minutes[/tex]
Complete question:
Five batch jobs, A through E, arrive at a computer center at essentially the same time. They have an estimated running time of 15, 9, 3, 6, and 12 minutes, respectively. Their (externally defined) priorities are 6, 3, 7, 9, and 4, respectively, with a lower value corresponding to a higher priority. For each of the following scheduling algorithms, determine the turnaround time for each process and the average turnaround for all jobs. Ignore process switching overhead. Explain how you arrived at your answers. In the last three cases, assume that only one job at a time runs until it finishes and that all jobs are completely processor bound.
a) Round Robin with a quantum of one minute b) Round Robin with a quantum of 4 minutes c) Planning for Priority d) FCFS (running in order 15, 9, 3, 6 and 12) e) Shortest Process Next (SPN)
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3 Maria has a bag containing 18 fruit drop sweets. 10 are apple flavoured and 8 are blackberry
flavoured. She chooses a sweet at random and eats it. Then she chooses another sweet at
random. Calculate the probability that:
a)) both sweets were apple flavour
b)) both sweets were blackberry flavored
c)) the first was apple and the second was blackberry
Answer:
Step-by-step explanation:
It could be apple because there is more apple that blackberry fruit drops
Step-by-step explanation:
apple flavoured and 8 are blackberry
flavoured. She chooses a sweet at random and eats it. Then she chooses another sweet at
random. Calculate the probability
A man 1.5m in height standing on top of a vertical building 42m heigth .sees a truck some distance away ,at an angel of depression of 53.5.At what distance is the truck from the base of the building.
The truck is 32.22m away from the base of the building
As a 1.5m long man is standing on the 42m long building,
=>the height of man's site= 42+ 1.5= 43.5m
If the line of sight is directed downward from the horizontal line, then an angle is created with the horizontal line. The angle produced between the horizontal line and the observer's line of sight is known as the angle of depression if the object being observed is below the observer's level.
As given, the angle of depression = 53.5°
We know that,
tan ∝= perpendicular* base
so, ∝=53.5:
tan(53.5 )= 43.5/y
[where y= distance of the truck from the base of the building]
1.35= 43.5/y
y=43.5/1.35= 32.22m
Hence, the truck is 32.22m away from the base of the building.
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20 inch (diameter) bicycle wheel is spinning at a rate of 150 rpm. how fast is the bicycle moving (in mph)?
The bicycle is moving at a speed of 14,356 meters per hour.
Here, we are given that the wheel of a bicycle is spinning at the rate of 150 revolutions per minute.
The diameter of the wheel is 20 inches
⇒ radius = 10 inches
⇒ circumference of the wheel = 2 × π × 10
= 20π
Thus, the wheel will cover a distance of (20π × 150) inches in a minute
= 300π
now, we know that 1 inch = 0.254 meters
⇒ 300π inches = 300π × 0.254
= 76.2π
Thus, the bicycle covers 76.2π meters in a minute
⇒ it'll cover 76.2π × 60 meters in an hour
= 4572π
= 4572 × 3.14
= 14,356.08
Thus, the bicycle is moving at a speed of 14,356 meters per hour.
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I need help on this question only for part A
Answer:
x-intercept: (-7,0)
y-intercept: (0,9)
Step-by-step explanation:
if each of seven persons in a group shakes hands with each of the other six persons, then a total of forty-two handshakes occurs.
Answer:
false
Step-by-step explanation:
Call the persons 1 through 7.
1,2
1,3
1,4
1,5
1,6
1,7
2,3
2,4
2,5
2,6
2,7
3,4
3,5
3,6
3,7
4,5
4,6
4,7
5,6
5,7
6,7
There are 21 handshakes.
1 handshaking 2 is the same as 2 handshaking 1.
6 × 7/2 = 21
Answer: false
A box contain 5orange ball, 4yellow and1 greenballa ball i picked out of the box random find the probability that i green, orange, l
Using the formula for the combination and with the And rule of probability, The answer is 20.
What do you mean by probability?Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
What is combination and it's formula?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.
It's formula is:
[tex]C(n,r) = \frac{n!}{r!*(n-r)!}[/tex]
orange balls = 5
yellow balls = 4
green balls = 1
probability = C(5,1)*C(4,1)*C(1,1)
=5*4*1
=20.
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A table of values of a linear function is shown below. Find the output when the input is n Type your answer in the space provided.
Input 1 2 3 4 n
Output -7 -9 -11 -13
Answer:
Step-by-step explanation:
Input: 1, 2, 3, 4, 5
Output: -7, -9, -11, -13
To get the output you'd add -2 each time. -7+(-2) is -9. -9+(-2)=-11. -11+(-2)=-13. And because it keeps on increasing like this the n should be 5. Because the output keeps increasing by the same value the input should too. It's increasing by 1.
( not sure if this is what you wanted us to answer)
Answer:
When the input is n then the output is - 5 - 2n---------------------------
Using table, put the output values as a sequence:
-7, -9, - 11, - 13, ...We see the first term is -7 and the common difference is - 2.
The nth term would be:
t(n) = - 7 + (- 2)(n - 1) t(n) = - 7 - 2n + 2t(n) = - 5 - 2nWhat is the answer please help .
Answer:
None of A, B, or C.
Step-by-step explanation:
A quadratic function in its general form is [tex]f(x)=a(k(x-d))^2+c[/tex], where a represents the vertical stretch/compression, k the horizontal stretch/compression, d the horizontal shift, and c the vertical shift. Here, based on the image of f(x) and the resulting transformed function g(x), we can see that the graph has only been shifted horizontally to the right by two units. We should expect the function g(x) to be [tex](x-2)^2[/tex], which is not provided in any of the options.
[tex]\frac{x}{y}x12[/tex]
Answer:
[tex] \frac{x {}^{13} }{y} [/tex]
Step-by-step explanation:
[tex]1. \: \frac{xx {}^{12} }{y} \\ 2. \: \frac{x {}^{13} }{y} [/tex]
If the 1t peron ave 1/4 of total , 2nd peron ave 2/3 of total and the 3rd peron ave 1/10 which fraction i left to pay for the birthday party
Although part of your question is missing, you might be referring to this full question: If the 1st person saves 1/4 of total, 2nd person saves 2/3 of total, and 3rd person saves 1/10, which fraction left to pay for the birthday party?
The fraction left to pay for the birthday party is 17/30.
The calculation is as follows:
1 * 1/4 = 1/4 … (1)
1/4 * 2/3 = 2/12 … (2)
2/12 * 1/10 = 2/120 … (3)
Fraction left to pay:
= 1 - (1/4 + 2/12 + 2/120)
= 1 - (30/120 + 20/120 + 2/120)
= 1 - (52/120)
= 1 - 13/30
= 30/30 - 13/30
= 17/30
Thus, the fraction left to pay for the birthday party is 17/30.
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, where the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
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A cylindrical container has radius 1 m.
The cylinder contains 628 litres of water.
Calculate depth of water in the cylinder giving your answer in cm
take pi to be 3.14
Answer:
0.2 m
Step-by-step explanation:
You want to know the height of a cylinder with 1 m radius and a volume of 628 liters.
VolumeThe formula for the volume of a cylinder is ...
V = πr²h
Using the given values, we have ...
0.628 m³ = 3.14(1 m)²h
0.2 m = h . . . . . . . . . divide by 3.14 m²
The depth of the water in the cylinder is 0.2 m.
A rectangle has a length of 4x + 5 and a width of 8x - 4. Which expression shows the perimeter of the rectangle?
Answer:
perimeter of rectangle= 2(l+b)
=2(4x+5+8x-4)
=2(12x+1)
24x+2
Answer:
perimeter of the rectangle = 24x + 2
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Then:
perimeter = 2(4x+5 + 8x-4)
perimeter = 2(4x+8x + 5-4)
perimeter = 2(12x + 1)
perimeter = 2*12x + 2*1
perimeter = 24x + 2
11 If a₁ = 6 and an = 3 + 2(an-1)², then a2 equals
A 147
B 180
C 75
D 900
घ
The value of the sequence a2 is (c) 75
How to determine the sequence a2From the question, we have the following sequence that can be used in our computation:
a₁ = 6 and an = 3 + 2(an-1)²
Substitute 2 for n in the equation an = 3 + 2(an-1)²
So, we have the following representation
a2 = 3 + 2(a2-1)²
This gives
a2 = 3 + 2(a1)²
Substitute a₁ = 6 in a2 = 3 + 2(a1)²
a2 = 3 + 2(6)²
Evaluate
a2 = 75
Hence, the value of a2 is 75
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sketch the vector field f by drawing a diagram like this figure. f(x, y) = yi − xj x2 + y2
The length vector is 1. So the sketch vector field f is given below. So the option a is correct.
In the given question, the vector field F by drawing a diagram like this figure.
The given vector field F is:
F(x, y) = (yi + xj)/√(x^2 + y^2)
We can write the vector field as:
F(x, y) = yi/√(x^2 + y^2) + xj/√(x^2 + y^2)
Here
F(x, y) = [y/√(x^2 + y^2)]^2 + [x/√(x^2 + y^2)]^2
F(x, y) = y^2/(x^2 + y^2) + x^2/(x^2 + y^2)
F(x, y) = (y^2+ x^2)/(x^2 + y^2)
F(x, y) = 1
F(0, y) = y/|y| = ±1
F(x, 0) = x/|x| = ±1
So the length vector is 1.
So the sketch vector field f is given below:
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The complete question is:
Sketch the vector field F by drawing a diagram like this figure.
F(x, y) = (yi + xj)/√(x^2 + y^2)
Which system of linear equations appears to have a solution of (–1, 4)?
(A) On a coordinate plane, 2 lines intersect at (1, negative 4).
(B) On a coordinate plane, 2 lines intersect at (1, 4).
(C) On a coordinate plane, 2 lines intersect at (negative 1, negative 4).
(D) On a coordinate plane, 2 lines intersect at (negative 1, 4).
Answer:
D
Step-by-step explanation:
Answer:
Answer is D
Step-by-step explanation:
Miguel rode his bike to work which was 15 miles from home. However he was too tired to ride back so he got a ride in a car from a co-worker. He spent a total of 2 hours traveling. The average speed of traveling by car was 3 times faster than on his bike. What was Miguel’s average speed on his bike and in the car?
Answer:
2hrs(3x faster) :
6hrs = 15 miles
2.5 miles per hour - bike2hrs = 15 miles
7.5 miles/hr = carStep-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-A blood plasma donation company accepts 404040 volunteers per day. Based on previous data, they know that 15\%15%15, percent of volunteers will be turned away for some reason. Let xxx represent the number of patients that get turned away in a set of 404040 volunteers. Find the mean and standard deviation of xxx. You may round your answers to the nearest tenth.
Mean of the sample is 6 and standard deviation of the sample is 2.258
number of volunteers per day = 40
so n=40
what is sample proportion ?sample proportion is a random variable that varies from sample to sample in ways that are impossible to predict in advance.
sample proportion(p) = 15 %= 15 /100 =0.15
so p= 0.15
and hence q= 1 - p= 0.85
formula of mean = n * sample proportion = np.
mean of sample = np = 40 *0.15 =6
so mean = 6
so standard deviation or SD = [tex]\sqrt{p * q * n}[/tex]
standard deviation = [tex]\sqrt{p*q*n}[/tex]
=> √(40 × 0.15 × 0.85)
=> √5.1
so standard deviation = 2.258
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find the area of the sector of a circle with radius 6 miles formed by a central angle of 2.8 radians:
The area of the sector of a circle is 28π square miles
The area of a sector of a circle is equal to the area of the circle multiplied by the ratio of the central angle to the full circumference. Therefore, the area of the sector of a circle with a radius of 6 miles formed by a central angle of 2.8 radians is equal to the area of the circle multiplied by the ratio of 2.8 radians to 2π radians (or the circumference of the circle). This means that the area of the sector is equal to 6^2π * 2.8/2π = 28π square miles. In other words, the area of the sector of a circle with a radius of 6 miles formed by a central angle of 2.8 radians is equal to 28π square miles. To visualize this, imagine a pizza slice with a radius of 6 miles. The area of the pizza slice is equal to 28π square miles. The area of the sector is the same as the area of the pizza slice. Therefore, the area of the sector of a circle with radius of 6 miles formed by a central angle of 2.8 radians is equal to 28π square miles.
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a street light is mounted at the top of a -ft-tall pole. a man ft tall walks away from the pole with a speed of along a straight path. how fast is the tip of his shadow moving when he is ft from the pole?
The tip of the man's shadow is moving at the speed of 2.25m/s.
Here, we are given-
Length of the pole = 6 meters
Height of the man = 2 meters
Speed of the man = 1.5 m/s
we can form a diagram as shown in the figure below.
Now as the two triangles are similar, the ratio of their sides will be equal-
2/ b = 6/ (a + b)
2(a + b) = 6b
2a + 2b = 6b
2a = 4b
a = 2b
Now, differentiating both sides with respect to time-
da/ dt = 2db/ dt
(1/2)(da/dt) = db/dt
Let a + b = c
⇒ dc/ dt = da/dt + db/dt
dc/ dt = da/dt + da/2dt
dc/ dt = 3/2 × da/ dt
Now, we know that the speed of the man is 1.5m/s ⇒ da/dt = 1.5
dc/dt = 3/2 × 1.5
= 2.25
Thus, the tip of the man's shadow is moving at a speed of 2.25m/s.
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Your question was incomplete. Check for full content below-
a street light is mounted at the top of 6 a -ft-tall pole. a man 2 ft tall walks away from the pole with a speed of 1.5m/s along a straight path. How fast is the tip of his shadow moving when he is 10ft from the pole?
Use the Pythagorean Theorem to find the missing length and then round the
result to the nearest tenth.
a = 7, b = 7, C=
Answer:9.9
Step-by-step explanation:
We know that pythagorean Theorem is a^2+b^2=c^2
Using this, and A & B we can plug them in
We get 49+49=c^2
98=c^2
we can square root both sides to get
sqrt98=c^2
or 9.9(rounded to the nearest 10th)
Answer:
c = 9.9 to the nearest tenth
Step-by-step explanation:
Pythagoras theorem = c² = a² + b²
a= 7, b = 7, c =?
c² = 7² + 7²
c² = 49 + 49
c² = 98
c =√98
c = 9.8995
Answer to the nearest tenth
c = 9.9
Identify a value of k that transforms f into g, where g(x) = f(x) + k.
Answer:
k = 7
Step-by-step explanation:
You want to know the value of k that transforms f(x) = 2/3x -3 to g(x) = f(x) +k, where g(x) is 2/3x +4.
Vertical shiftThe amount of vertical shift to get from f(x) to g(x) can be found by subtracting f(x) from g(x):
g(x) = f(x) +k
g(x) -f(x) = k
(2/3x +4) -(2/3x -3) = k
4 -(-3) = k = 7
Function f(x) is shifted upward by k = 7 to transform it to g(x).
__
Additional comment
We can read the equations from the graph by looking for the y-intercept (b) and the slope (m = rise/run) of each line. The slope is rise=-2 for run=3, so m=-2/3.
The +k means the transformation is a vertical shift. You don't need to know what the equations for f(x) and g(x) are; you only need to look at the difference between the y-intercepts. That difference is the amount by which g(x) is shifted upward.