Using the concept of average speed we conclude that the space-mean speed of the vehicles is 0.69 km/min.
What is space-mean speed?The average speed of a vehicle traveling a given segment of a highway in a specific time period is called space-mean speed, i.e.
Average mean speed = total distance traveled / average time travel
Given for vehicles are traversing a 1 km segment of highway. Hence total distance is 4km.
Average time = (1.2 + 1.5 + 1.7 + 1.4)/4
= 5.8/4
= 1.45 min
Now Average mean speed = 1/1.45
=0.689
=0.69 km/min
Hence the space-mean speed of the vehicles is 0.69 km/min
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PLEASE HELP ASAP WILL MARK BRAINLIST
Answer:
what is your problem
What is an equation of the line that passes through the points (-4, 5)(−4,5) and (-4, -2)(−4,−2)?
Answer:
∅
Step-by-step explanation:
set up your equation which will be [tex]\frac{-2-5}{-4+4}[/tex] which is undefined because denominator cannot be 0
Help me for this question
9500000000000000 in standard form
you have 600 ft of fencing material to construct a rectangular pen for cattle. what are the dimensions (in feet) of the pen that maximize the area (enter number only)?
The dimension of pen that maximize the area is 150 ft by 150 ft.
What is the dimension of a area?
In mathematics, a dimension is the length or width of an area, region, or space in one direction. It is just the measurement of an object's length, width, and height.
Given the perimeter of the rectangular is 600 ft.
Assume that the length of the rectangular be l and the breadth be b.
The perimeter of the rectangular is 2(l+b).
According the question:
2(l+b) = 600
Divide both sides by 2:
(l+b) = 300
l = 300 - b
The area of rectangular is A = lb
Substitute the value of l in the above equation:
A = (300 - b) b
A = 300b - b^2
The maximum value of a quadratic polynomial Ax^2+BX+C is at x = - B/(2A).
Compare Ax^2+BX+C with 300b - b^2:
A = -1 and B = 300.
Putting A = -1 and B = 300 in b= - B/(2A).
b= - 300/(2×(-1))
b = 150.
Putting b =150 in l = 300 - b
l = 300 - 150
l = 150
The dimension is 150 ft × 150 ft.
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4. The temperature of the water in a pot on the stove is taken every 2 minutes, as shown in the
following chart.
Time (Minutes)
0
2
4
6
8
10
12
14
16
18
20
Temperature (°C)
23.2
25.1
29.2
36.8
42.5
47.6
55.9
62.7
72.4
86.1
98.3
Based on an exponential model of the data, what is the predicted temperature of the water at 7
minutes? Use the Desmos calculator to find your answer. Round your answer to the nearest tenth
of a degree.
(1 point)
Based on an exponential model of the data, the predicted temperature of the water at 7 minutes is 39.7 °C using desmos graphing calculator.
What is an exponential model of the data?Similar to how you discovered linear and quadratic models in prior chapters, exponential models can be found by fitting data to them. As you may already be aware, exponential functions take the form y = abx, where an is the value of y at x = 0 and b is the growth factor over each unit of time. Based on an equation like this one, the exponential model represents the degradation failure process: Y = deterioration; T = time; A and B = parameters to be calculated using the regression approach based on historical data. An expansion within a population that happens at the same pace across time is represented by the function of exponential growth. It is reasonable to suppose that data grows exponentially as populations double or triple in size.
Graph all the points on a graph. Then from the graph, we can find that at 7 minutes the temperature is 39.7°C.
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Answer: 38.2 degrees
Step-by-step explanation:
enter into desmos
use y1 ~ abx2
then input numbers provided
(22.9178)1.07564^7
equals 38.18049
round 38.2
A 20-sided regular polygon has an angle measure represented as 3gº.
Determine the value of g.
O g = 180
O g=1
O g = 60
O g = 54
The value of g in the 20 sided regular polygon is 54.
How to find the angles of a regular polygon?If all the polygon sides and interior angles are equal, then they are known as regular polygons.
The polygon given is a 20 sided regular polygon and the measure of each angle is 3g degrees.
Therefore, let's find g.
The sum of interior angles of a 20 sided polygon is as follows:
180(n - 2) = 180(20 - 2) = 180(18) = 3240
Therefore,
each angle = 3240 / 20 = 162
Hence,
162 = 3g
g = 162 / 3
Therefore,
g = 54
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Find quotation 1 3/4 divided by 3
Please help I think it’s 7/12
The quotation for division of 7/4 that is 1 3/4 divided by 3 will be 7/12 by the rule of division that is a/b÷c/d=a/b*d/c.
What is division?A number is divided in division, which is a straightforward operation. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. A division is the division of a given sum into equal parts. For instance, we could split a group of 20 people into four groups of 5, five groups of 4, and so on. Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. To determine how many equal groups are created or how many people are in each group, division is the primary objective.
Here,
1 3/4=7/4
7/4÷3/1,
a/b÷c/d=a/b*d/c
7/4*1/3=7/12
According to the division rule a/b÷c/d=a/b*d/c, the quotation for 7/4, which is 1 3/4 divided by 3, will be 7/12.
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Factor the expression using the GCF.
The expression $32z-48$ factored using the GCF is
The factor of the expression 32z - 48 will be 16 and (2z - 3). And the greatest common factor is 16.
What is the greatest common factor?Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).
The expression is given below.
⇒ 32z - 48
The expression can be rewritten as,
⇒ 32z - 48
⇒ 16 · 2z - 16 · 3
⇒ 16 (2z - 3)
The factor of the expression 32z - 48 will be 16 and (2z - 3). And the greatest common factor is 16.
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State the value of the two square numbers closest to 55. Hence, show that 55 is not a square number.
Answer:
7.416 is the answer
According to a report for veterinarians in the united states, 36. 5 percent of households in the united states own dogs and 30. 4 percent of households in the united states own cats. If one household in the united states is selected at random, what is the probability that the selected household will own a dog or a cat?.
Karl bought 1.6 pounds of oranges and 2.4
pounds of pears. They each cost $1.48 per pound
Use properties to find the total cost.
Answer:
$5.92
Step-by-step explanation:
1.6 lbs. + 2.4 lbs. = 4 lbs.
4 x 1.48 = 5.92
Since it doesn't specify whether the oranges and apples cost differently you can add both of them. Then you multiply it by 1.48 because that's the cost per pound.
1 can go on saturday and 14 can go on sunday; some of them can go on both days. how many people can only go to the game on saturday? 6
Answer:
No solution
Step-by-step explanation:
The reason why I say this problem has no solution is due to the fact that it says only one person may go on Saturday yet some fraction of the people between the numbers 1 - 14 can go. We have no idea what this fraction is, leading to a paradox of multiple equations and guesses desperately trying to figure out the number. Thus, the problem has no solution.
Hope this helps.
The points P, Q, R and S all lie on the same line segment, in that order, such that the ratio of PQ:QR:RSPQ:QR:RS is equal to 1:3:1.1:3:1. If PS=35,PS=35, find PR.PR.
The distance of PR is 21
Given,
The points P, Q, R and S all lie on the same line segment.
The ratios;
PQ:QR:RS = 1:3:1.
Distance of PS = 35
We have to find the distance of PR.
A line segment is a piece of a straight line that has all of the points on the line contained within and is bounded by two distinct endpoints. A line segment's length is determined by the Euclidean distance that separates its two ends.
Here,
PQ : QR : RS = 1 : 3 : 1.
Now let PQ = x, QR = 3x and RS = x.
Therefore,
PQ + PR + RS = PS.
x + 3x + x = 35
5x = 35
x = 7
Therefore,
PR = 3x
PR = 3 × 7
PR = 21
The distance of PR is 21
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hi i need some help with this math problem
1 is value of x in given function.
What is the definition of a function?
An association between a value from the set of the first components of the ordered pairs and a specific value from the set of the second components is known as a function. a relationship between a set of inputs and a set of potential outputs, where each input is connected to only one possible output.f(x) = 2x + 4/6
put x = - 2 in equation
f(-2) = 2 * -2 + 4 /6
= -4 + 4 /6
= 0/6
= 1
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Jamie has a table top that he wants to cover in contact paper. The table top has the following dimensions. Length: 3.5 ft. Width: 3.5 ft. Height: 0.25 ft. How many square feet of contact paper does he need to cover the entire table top?
The area of the contact paper required to cover the entire tabletop is 12.25 square feet.
Jamie has a tabletop that he wants to cover with contact paper. The length, width, and height of the tabletop are 3.5 feet, 3.5 feet, and 0.25 feet, respectively. We need to calculate the area of the contact paper required to cover the entire tabletop.
Let the area of the tabletop be represented by the variable "A". We need to calculate the area of only the top surface of the table. The table is rectangular in shape. The area of the tabletop must be the product of the length and the width of the table.
A = 3.5×3.5
A = 12.25
Hence, the area of the tabletop is 12.25 square feet.
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Matteo buys a basil plant that is 22 cm tall and grows 1/2 a centimeter every day.
A. Write an equation that can be used to solve for the number of days until the plant has a height of 30 cm. Use d to represent the number of days. Label each part of your equation with what it represents.
B. How much does the plant still have to grow?
C. Solve for the value of d. What does this value represen in this problem?
PLEASE SOLVE ALL
The equation that can be used to solve for the number of days until the plant has a height of 30 cm is 22+(d-1)0.5 = 30 where d represents the number of days and the value of d is 17.
According to the question,
We have the following information:
Matteo buys a basil plant that is 22 cm tall and grows 1/2 a centimeter every day.
Now, we have the following arithmetic progression with common difference, denoted by d:
22, 22.5, 23, 23.5, ...
Formula used to find the nth term:
an = a+(n-1)d where a is the first term
A) 22+(d-1)0.5 = 30
B) The plant still have to grow 8 cm because the difference between 30 and 22 is 8 cm.
C) Value of d:
22+(d-1)0.5 = 30
22+0.5d-0.5 = 30
21.5+0.5d = 30
0.5d = 30-21.5
0.5d = 8.5
d = 8.5/0.5
d = 17
Hence, the equation that can be used to solve for the number of days until the plant has a height of 30 cm is 22+(d-1)0.5 = 30 where d represents the number of days and the value of d is 17.
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The kinetic energy of an object is directly proportional to the square of its
velocity.
An airplane with velocity 220 m/s has a kinetic energy of 10,890 megajoules.
What is the kinetic energy of the same airplane when its velocity is 300 m/s?
By using the concept of kinetic energy, it is obtained that
Kinetic energy of the airplane when its velocity is 300 m/s is 20250 megajoule
What is Kinetic energy?
Kinetic energy is the energy possessed by the body by virtue of its motion
If m is the mass of the body and v is the velocity of the body, then kinetic energy is given by the formula
Kinetic energy = [tex]\frac{1}{2} \times m \times v^2[/tex]
Let the mass of the airplane be m kg
Velocity = 220 m/s
Kinetic energy = [tex]\frac{1}{2} \times m \times (220)^2[/tex]
By the problem,
[tex]\frac{1}{2} \times m \times (220)^2 = 10890\times 10^6[/tex]
[tex]m = \frac{10890\times 10^6\times 2}{220\times 220}[/tex]
m = [tex]0.45 \times 10^6[/tex] kg
Now,
Velocity = 300 m/s
Kinetic energy = [tex]\frac{1}{2} \times 0.45 \times 10^6 \times 300 \times 300[/tex]
= [tex]20250 \times 10^6[/tex] J
= 20250 mega joules
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What is the equation of the line that passes through the points (-4, -6) and (2, 8)
The equation of a line is the mathematical function of a line thus the equation of the line that passes through the points (-4, -6) and (2, 8) will be y = (14/6)x + 10/3.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
A linear equation or function is given as ;
y = mx + c
Here, m is the slope and is given as (y₂ - y₁)/(x₂ - x₁).
The slope of the line passing through (-4, -6) and (2, 8) will be,
m = (8 + 6)/(2 + 4)
m = 14/6
So, y = (14/6)x + c
Substitute, (2, 8)
8 = (14/6)2 + c
c = 8 - 14/3 = 10/3
Therefore, y = (14/6)x + 10/3
Hence "The equation of a line is the mathematical function of a line thus the equation of the line that passes through the points (-4, -6) and (2, 8) will be y = (14/6)x + 10/3".
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50 points
Please help
Graph -8+x=4y-16
Equation of the line - 8 + x = 4y - 16
In order to graph the line, find its x- and y- intercepts, then connect the two pointsx- intercept, at y = 0:
- 8 + x = 0 - 16x = - 16 + 8x = - 8y- intercept, at x = 0:
- 8 = 4y - 164y = 16 - 84y = 8y = 2The points are (0, 2) and (- 8, 0), plot them and connect to get the graph.
The graph that connects points (-8,0) and (02) is shown below
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation is,
-8+x=4y-16
x- intercept, at y = 0:
- 8 + x = 4(0) - 16
x = - 16 + 8
x = - 8
y- intercept, at x = 0:
- 8 + 0 = 4y - 16
4y = 16 - 8
4y = 8
y = 2
The points are (-8,0) and (02)
So, the graph that connects points (-8,0) and (02) is shown below
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Determine the value of the expression −2(42−7)+(−5) .
The value of the expression −2(42−7)+(−5) is -75.
What is an expression?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.
In this case, we want to calculate the value of the expression:
−2(42−7)+(−5)
= -2(35) + (-5)
= -70 - 5
= -75
The value is -75.
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HELP ITS DUE IN A LITTLE BIT!!!
Answer:
Step-by-step explanation:
Yes it does
10 and 15
Answer:
A. the independent and dependent variables are the number of miles and total fee (y = 2.8 + 3.5x)
B. the domain is 0 <= x <= 20 and range is 2.8≤x≤20
Step-by-step explanation:
What is the slope of the line that passes through the points (7,-5) and (16,7) in simplest form ?
Answer:
4/3
Step-by-step explanation:
look for gradientgradient=
[tex] \frac{change \: in \: y}{change \: in \: x?} [/tex]
change in y7--5=12
change in x16-7=9
gradient12÷9=4/3
the gradient is the same as slope
thus the answer is 4/3
In AWXY, WY is extended through point Y to point Z, m/Y W X = (3x + 17)°, m/XYZ = (10z - 5)°, andm/W XY = (3x + 2)°. Find m/W XY.
Using the exterior angle theorem, the measure of angle WXY is calculated as: 20°.
How to Apply the Exterior Angles Theorem?Given the triangle in the image below has the following:
The measure of exterior angle XYZ = (10x - 5)°The measure of remote angle WXY = (3x + 2)°The measure of remote angle YWX = (3x + 17)°According to the exterior angles theorem, the sum of the two remote angles would be equal to the measure of the exterior angles, therefore:
10x - 5 = 3x + 2 + 3x + 17
Combine like terms
10x - 5 = 6x + 19
10x - 6x = 5 + 19
4x = 24
4x/4 = 24/4
x = 6
m∠WXY = 3x + 2 = 3(6) + 2
m∠WXY = 18 + 2
m∠WXY = 20°
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helppp PLSSSSSSSSSSSSS I NEEED HELPPPPPPPPPPPPPPPPP
Answer:
15c + 19d
Step-by-step explanation:
Here to simplify we have to add like-terms
3c + 14d + c + 11c + 5d = ( 3c + c + 11c) + ( 14d + 5d) = 15c + 19d
Glad to Help
a campus radio station surveyed 500 students to determine the types of music they like. the survey revealed that 206 like rock, 161 like country, and 118 like jazz. moreover, 30 like rock and country, 27 like rock and jazz, 22 like country and jazz, and 11 like all three types of music. what is the probability that a randomly selected student likes jazz or country but not rock? note: a venn diagram may be useful here. a) 0.400 b) 0.300 c) 0.522 d) 0.262 e) 0.422 f) none of the above.
The probability that a randomly selected student likes neither rock nor country is taken as;
P(R' ∩ C') = 0.326
Let us denote them as follows;
Number that like to be rock music be - R
Number that like to be Country music be - C
Number that like to be Jazz music be - J
Thus, as we are given and we have;
R is equal to 206
C is equal to 161
J is equal to 118
P(R') =206
P(C') =161
P(R' ∩ C') = 0.326
So, now P is removed
R ∩ C = 30 - 11 = 1
Hence the answer is none of the above
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help ? please, thank you !
Answer:
3 feet
1ft:2ft
Step-by-step explanation:
3ft/12 inches
12 inches= 1 foot
We can simplify the denominator by turning 12 inches into 1 foot
3/1
And then we divide to make 3 feet
The width of the rectangle is 12 inches and the length is 2 feet so the ratio is
12 in.:2 ft
12 inches can be simplified to 1 foot
1 ft: 2 ft
And it is simplified as much as possible
Hopes this helps please mark brainliest
Cual es la respuesta de:
6(-?)+1=-47
The value of missing number is 8.
What are Integers?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
6(-?)+1=-47
let the unknown value be x.
6(-x ) + 1= -47
Now, Subtract 1 from both side
-6x + 1 - 1= -47 - 1
-6x = -48
x= -48/(-6)
x = 8
Hence, -6(8) + 1 = -47.
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Heidi thinks the rule for the table below is y = x + 3.
Is she correct?
X
-2
-1
0
1
2
y
-7
-4
-1
2
5
in a particular game, a fair die is tossed. if the number of spots showing is either four or five, you score 1 point. if the number of spots showing is six, you score 4 points. and if the number of spots showing is one, two, or three, you score 0. you are going to play the game twice. what is the probability that you score 4 points both times?
1/36 is the probability that you score 4 points both times.It is the likelihood of scoring four points twice.
1/6 * 1/6 =1/36
The probability of an event occurring is measured by its probability. It determines the probability of an event. The probability calculation is P(E) = Number of Favourable Outcomes/Total Outcomes.A game is a formalized form of play that is frequently done for amusement or fun but can also serve as a teaching game tool.
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