A worker with a wheelbarrow filled with bricks starts at a point 50 m from the
entrance to a construction site. The worker pushes the wheelbarrow away from the
entrance at a speed of 1 m/s for 10 s, stops for 5 s to unload, and then moves back
toward the entrance at a speed of 2 m/s for 20 s. Draw a distance-time graph.
Answers
Answer:
Step-by-step explanation:
initial distance, d = 50 m at t = 0 s
t = 10 s , speed, v = 1 m/s
distance, d' = 1 x 10 = 10 m at t = 10 s
Now t = 10 s to t = 15 s it is at rest
speed, v' = 20 m/s , t' = 20 s
distance, d'' = 2 x 20 = 40 m at t = 15 s to 35 second
The graph is given below:
Related Questions
What is -3 over 9 in standard form
Answers
Answer:
-1/3
Step-by-step explanation:
-3/9
= -1/3
Using a deck of 52 playing cards, what are the odds against drawing a 6,7,8, or 9 ?
Answers
(Hurry giving brainliest) Which idea does Arnold need to correct? In specular reflection, reflected rays move in the same direction. In scattering, light strikes particles in the atmosphere. In diffuse reflection, reflected rays move in different directions. In scattering, long wavelengths are scattered the most.
Answers
Answer:
D. In scattering, long wavelengths are scattered the most.
Step-by-step explanation:
Scattering of light is the effect observed when there is an interaction between light energy and some particles. This occurs often in the earth's atmosphere which consists of different sizes of particles that interacts with the sunlight.
In scattering, light of shorter wavelengths are scattered by small sized particles compared to those with longer wavelengths. Example is the scattering of the sunlight by the atmospheric particles where colors with short wavelengths are scattered the most.
Arnold need to correct the statement; In scattering, long wavelengths are scattered the most. To read; In scattering, short wavelengths are scattered the most.
Answer:
D on edgen
Step-by-step explanation:
Please help me with this on the image
Answers
Answer:
hope this may help u
q. no (a)= 60%
(b)=55%
Answer:
a) [tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex] = .6 or 60%
b) [tex]\frac{11}{20}[/tex] = .55 or 55%
Step-by-step explanation:
Count the boxes.
[tex]\frac{shaded}{total}[/tex]
Divide and multiply by 100
6 – x + = 6 minus StartFraction 3 Over 4 EndFraction x plus StartFraction 1 Over 3 EndFraction equals StartFraction one-half EndFraction x plus 5.X + 5 2 3 6 12
Answers
Answer:
x = 16/15
Step-by-step explanation:
Given:
6 - 3/4x + 1/3 = 1/2x + 5
Collect like terms
6 + 1/3 - 5 = 1/2x + 3/4x
(18+1-15)/3 = (2x+3x)/4
4/3 = 5/4x
x = 4/3 ÷ 5/4
x = 4/3 × 4/5
x = (4 * 4) / (3 * 5)
x = 16/15
Evaluate the expression 3(5 + 2)(7 - 2) using order of operations.
Answers
Answer:
105
Step-by-step explanation:
The order of operations is written as PEMDAS. These letters stand for:
-Parentheses
-Exponents
-Multiplication
-Division
-Addition
-Subtraction
We follow these steps in order to solve expressions efficiently. Now, we are going to use PEMDAS to evaluate the expression 3(5+2)(7-2) step by step.
3(7)(5) The first step is to simplify the numbers in the parentheses.
There are no exponents, so we skip to the next step, multiplication.
(3*7)(5)
21(5)
105
PEMDAS is no longer needed because 105 has come out to be our answer.
I hope this helps you out! Have an an awesome day :3
Which statement is true regarding the angles in the figure below?
Triangle E D F. A diagonal line is drawn from point D to form an angle.
Angle D is an exterior angle because it shares a side with the triangle.
Angle D is an exterior angle because it is not inside the triangle.
Angle D is an exterior angle because it is formed by one side of the triangle and by extending another side of the triangle.
Angle D is not an exterior angle.
Answers
An exterior angle is an angle supplementary to one of the interior angles.
In other words, an exterior angle is the angle between one of the sides, and the extension of an adjacent side.
In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.
Therefore angle D is not an exterior angle.
Option D is the correct one!
An exterior angle is an angle supplementary to one of the interior angles.
We have given that,
Triangle E D F. A diagonal line is drawn from point D to form an angle.
Angle D is an exterior angle because it shares a side with the triangle.
Angle D is an exterior angle because it is not inside the triangle.
Angle D is an exterior angle because it is formed by one side of the triangle and by extending another side of the triangle.
Angle D is not an exterior angle.
What is the exterior angle?an exterior angle is an angle between one of the sides and the extension of an adjacent side.
In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.
Therefore angle D is not an exterior angle.
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what is 8/9 divide 2/3?
Answers
Answer:
4/3
Step-by-step explanation:
8/9 ÷ 2/3
Simplify the complex fraction.
4/3
Step-by-step explanation:
8/9 ÷ 2/3
Simplify
4/3 is the correct answer
Which statement correctly identifies the line of reflection?
-The triangles are reflected across the x-axis.
-The triangles are reflected across the y-axis.
-The triangles are reflected across the line y = x.
-The triangles are reflected across the line y = –x.
Answers
Answer: The triangles are reflected across the line y = x
Step-by-step explanation:
I used wolfram to calculate it for me. I used the bottom right point of the triangle.
A parallelogram is cut out of a 12-inch by 8-inch sheet of paper. There are four right triangle remnants. Two have the dimensions 2 inches by 9 inches, and the other two have the dimensions 3 inches by 6 inches. A parallelogram is shown. An altitude is drawn from one point to the opposite side to form a right angle. The length of the base is 9.22 inches. The resulting parallelogram has a base of approximately 9.22 inches.
Answers
Answer:
96
36
60
6.51
Step-by-step explanation:
Answer:96, 36, 60, 6.51
Step-by-step explanation:
Help PLEASE eeeeeeeeeeeeeeeee
Answers
Answer:
0.6 is the answer please
Which of the following is the solution to the equation x + 8.6 = 36.2?
10.4
17.2
27.6
44.8
Answers
Answer:
27.6
Step-by-step explanation:
x+8.6=36.2
Subtract 8.6 from both sides.
x=36.2-8.6
Subtract 8.6 from 36.2 to get 27.6.
x=27.6
x+8.6=36.2 ( original problem)
Subtract 8.6 from both sides
Then you get x=27.6
2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviation tell you about this data? (20 points) I NEEDDDDD THISSSSSS PLSSSSSSSSSSSSSSSS
Answers
Answer:
[tex]\sigma = 11.28[/tex] --- Standard deviation
Step-by-step explanation:
Given
See attachment for graph
Solving (a): Explain how the standard deviation is calculated.
Start by calculating the mean
To do this, we divide the sum of the products of grade and number of students by the total number of students;
i.e.
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
So, we have:
[tex]\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}[/tex]
[tex]\bar x = \frac{7531}{91}[/tex]
[tex]\bar x = 82.76[/tex]
Next, calculate the variance using the following formula:
[tex]\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f}[/tex]
i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset
So, we have:
[tex]\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}[/tex]
[tex]\sigma^2 = \frac{11580.6816}{91}[/tex]
[tex]\sigma^2 = 127.26[/tex]
Lastly, take the square root of the variance to get the standard deviation
[tex]\sigma = \sqrt{\sigma^2}[/tex]
[tex]\sigma = \sqrt{127.26}[/tex]
[tex]\sigma = 11.28[/tex] --- approximated
Hence, the standard deviation is approximately 11.28
Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.
True or False?
k = 3 over 4 is a solution to the inequality 12k + 2 < 12.
True
False
Answers
Answer:
False.
Step-by-step explanation:
...................
The length of a rectangular-shaped patio is 3 feet shorter than four times its width.
A. Write an equation to represent the area of the patio.
B. If the patio has an area of 370ft square, find the dimensions of the patio
Answers
Answer:
A. A = 4x² – 3x
B. Dimension = 37 ft × 10 ft
Step-by-step explanation:
A. Writing an equation to represent the area of the patio.
From the question given above,
Length (L) = (4x – 3) ft
Width (W) = x ft
Area (A) =?
Area of a rectangle is given by:
Area (A) = Length (L) × Width (W)
A = L × W
A = (4x – 3)x
Clear bracket
A = 4x² – 3x
B. Determination of the dimensions of the patio.
Area (A) = 370 ft²
Dimensions =?
Next, we shall determine the width and length. This can be obtained as follow:
From (A) above,
A = 4x² – 3x .... (1)
A = 370 ....... (2)
Equating equation 1 and 2, we have
4x² – 3x = 370
Rearrange
4x² – 3x – 370 = 0
Solving by formula method:
4x² – 3x – 370 = 0
Coefficient of x² (a) = 4
Coefficient of x (b) = –3
Constant (c) = –370
x = –b ± √(b² – 4ac) / 2a
x = –(–3) ± √(–3² – (4×4×–370)) / 2×4
x = 3 ± √(9 + 5920) / 8
x = 3 ± √(5929) / 8
x = 3 ± 77 / 8
x = (3 + 77) / 8 or (3 – 77) / 8
x = 80/8 or –74/8
x = 10 or –37/4
Since measurement can not be negative, thus,
x = 10
Width (W) = x ft
x = 10
W = 10 ft
Length (L) = 4x – 3 ft
x = 10 ft
L = 4(10) – 3
L = 40 – 3
L = 37 ft
Finally, we shall determine the dimensions. This is illustrated below:
W = 10 ft
L = 37 ft
Dimension =?
Dimension = L × W
Dimension = 37 ft × 10 ft
What is the measure of ∠
A. 6°
B. 42°
C. 60°
D. 49°
Answers
Answer:
<XYZ is equal to 49°
Step-by-step explanation:
Set the two expressions equal to each other so 7x+7=5x+19. Subtract 5x from 7x and 7 from 19 which is equal to 2x=12 that means x is 6. then plug 6 into (7x+7) which is equal to 49.
A binomial discrete random variable, X has a mean
of 3 and variance of 2. If X ~ B(n,p), find the values
of p and of n.
Answers
Since X follows a binomial distribution, its mean and variance are
np = 3
np (1 - p) = 2
Substitute np = 3 in to the second equation to solve for p :
3 (1 - p) = 2
1 - p = 2/3
p = 1/3
Solve for n :
n (1/3) = 3
n = 9
Select the correct answer.
What is the value of x in the triangle?
Answers
Answer:
The answer is A. 21
Hope it helps.
Step-by-step explanation:
• • •
Choose the one that is FALSE. *
A. 1/4 = 2/8
B. 3/4 = 10/12
C. 5/10 = 1/2
D. 10/12 = 5/6
Answers
Answer:
B. 3/4 = 10/12
Step-by-step explanation:
A. 1/4*2/2 = 2/8
B. 3/4*3/3 = 9/12 not10/12
C. 5/10*5/5 = 1/2
D. 10/12 divided by 2/2 = 5/6
Can I know the answer for the above questions
Answers
Answer:
Step-by-step explanation:
hcf and lcm of 54,18,90
Answers
That should be your answer
Prayers xx
3. Crystal has decided to drive her new car on the west coast from California to Washington, which is about 930
miles. She plans to drive her car an equal number of miles per day.
The number of days it will take her to get to Washington can be represented as a function of the distance
traveled per day. This function can be represented by the function (d) where W(d) is the number of
days it will take to get to Washington, and d is the distance traveled per day measured in miles per day.
=930/d
Select Yes or No to indicate whether the graph represents the number of days it will take Crystal to get to
Washington in her car, as a function of the distance traveled per day.
Answers
Answer:
The correct option is the first graph (Yes)
Step-by-step explanation:
The given function is W(d) = 930/d
Where;
W(d) = The number of days it would take to get to Washington
d = The distance travelled each day in miles
We note that the given graphs have number of days in the y-axis and the miles in the x-axis, and that in the function, the distance Crystal travels each day is constant, d, while the 930 is the total distance from California to Washington, while W(d) is the time
Therefore, the variables for crystal are W(d) and the part of 930 miles completed, while the constant is the speed, d = miles/day, which gives;
W(d) = 930/d
W(d) ∝ Part of 930 miles completed × Constant
∴ W(d) which is the time is directly proportional to the distance
The graph which represents the number of days, W(d) it will take Crystal to get to Washington (miles completed) as a function of distance traveled per day, d, which is constant is a straight line graph which is the first graph
what is x and y on a graph
Answers
Answer:
X is the horizontal axis (up and down)
Y is the vertical axis (right to left)
This drawing would be a step in finding which point of concurrency in a triangle?
Answers
Answer:
B. Orthocenter
Step-by-step explanation:
The orthocenter of a triangle is the point of intersection of the three altitudes (the perpendicular from a vertex to the side facing the vertex) of a triangle
The steps used in constructing the orthocenter includes the steps for drawing of the perpendicular to the sides of the triangle from a point which is the vertex opposite the side of the triangle
Therefore, in the given diagram, a perpendicular to the side KS is drawn from the (vertex) point W, by drawing an arc with center at W that intersects the side KS at two points. Rom the points of intersection of the arc drawn from W intersects KS, with the compass, two arcs are drawn to intersect at a point from which a line drawn to W, is perpendicular to KS
Therefore;
The correct option is B. orthocenter
Oscar bought 15 gallons of water at $1.98 per gallon. He wants to divide this water in bottles of 1/8 gallon each. What is the cost of a bottle of water?
Answers
Answer:
Step-by-step explanation:
help me with this math question
Answers
Answer:
Statements A and B are both true.
Determino la altura de la torre de refrigeración de una central nuclear si se sabe que su sombra mide 271 m cuando los rayos solares forman un ángulo de 30°
Answers
Respuesta:
156,46 m
Explicación paso a paso:
Podemos obtener la altura de la torre de enfriamiento usando trigonometría;
Tan θ = opuesto / adyacente
Altura de la torre de enfriamiento = opuesto
Altura de la sombra = 271 m = adyacente
Tan 30 = opuesto / 271
Opuesto = 271 tan30
Altura de la torre de enfriamiento = 0.5773502 * 271
Altura de la torre de enfriamiento = 156,46 m
Calculate the answer to the correct number of significant figures: (1.705 + 0.5067) / (0.2 * 1.243) = ______.
8.897
8.8966
8.9
9
8.90
Answers
Answer:
8.9
Step-by-step explanation:
they said to the sig. figure so since it's 8.8966, so the answer will be 8.9
The answer to the correct number of significant figures is 8.897, the correct option is A.
What are Significant Figures?Significant figures is a positional notation, these are the digits that are required to understand the quantity of something.
The expression is
⇒(1.705 + 0.5067) / (0.2 * 1.243)
=2.2117/0.2486
=8.89662
≈ 8.897
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which statement must be true about line TU?
Answers
Answer:
line TU has no slope in the diagram above
James' truck uses 8 gallons of gas per day. He filled his tank up with 36 gallons of gas. How many days will James be able to drive using 36 gallons of gas?
Answers
Answer:
4.5
Step-by-step explanation:
36 ÷ 8 = 4.5
James will be able to drive for 4.5 days.
Mark me as brainliest please
James will be able to drive [tex]=4\frac{1}{2}[/tex] days.
What is arithmetic maths ?Arithmetic is the fundamental of mathematics that includes the operations of numbers like addition, subtraction, multiplication and division.
We have,
James' truck uses gas per day [tex]=8[/tex] gallons
Tank has gas [tex]=36[/tex] gallons
Now,
According to the question,
Number of days James will drive [tex]= \frac{Total\ gas}{Gas\ used\ per\ day}[/tex]
[tex]=\frac{36}{8}[/tex]
Number of days James will drive[tex]=4\frac{1}{2}[/tex] days
Hence, we can say that James will be able to drive [tex]=4\frac{1}{2}[/tex] days.
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