10 households use 613 1/5 l of water in 3 days. If each household uses up the same amount of water each day find how much water would be used by 3 households
Answer:
So, 3 households would use 20 4/5 x 3 = 62 1/5 L of water per day.
Step-by-step explanation:
Each household uses 613 1/5 ÷ 10 = 61 3/5 L of water in 3 days.
Therefore, each household uses an average of 61 3/5 ÷ 3 = 20 4/5 L of water per day.
using the data on this scatter plot
Answer:
\( - 8(45) + 482 = - 360 + 482 = 122\)
Marie spent $15 on 4 identical jars of jelly. Each jar of jelly costs the same amount. How much did 1 jar of jelly cost? Use paper to show your work.
One jar of jelly costs $
Answer: $3.75
Step-by-step explanation:
First you would have to find the unit rate.
$15 / 4 jars of jelly = $3.75
Therefore, 1 jar of jelly = $3.75
Answer:
the answer is $3.75
Step-by-step explanation:
15 ÷ 4= 3.75
to verify your answer multiply
3.75 × 4= 15
Identify the y-coordinate
(9,[?])
Answer:
(9,16)
Step-by-step explanation:
We Know
The equation y = 3x - 2
Find the y coordinate (9, ?)
We just simply put 9 in for x and solve for y
y = 3(9) - 2
y = 18 - 2
y = 16
So, the coordinate are (9,16)
This graph and table show the total number of cars parked in a parking lot, n, after it was open for t hours.
Plot and table. Plot has horizontal axis from 0 to 3 in increments of 1, labeled t, and vertical axis from 0 to 18 in increments of 2, labeled n. Plot shows the points left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 6 right parenthesis, left parenthesis 2 comma 12 right parenthesis, and left parenthesis 3 comma 18 right parenthesis. Two-column table has column Time in hours left parenthesis t right parenthesis showing values 0, 1, 2, 3 and column Number of cars parked left parenthesis n right parenthesis showing values 0, 6, 12, 18.
What is an equation showing the relationship between n and t?
Enter your answer by filling in the box to complete the equation.
n =
Answer: n = 6t
Explanation: i took the test
Find the area of the parallelogram
Answer:
1191 cm²
Step-by-step explanation:
Area of parallelogram = base X vertical height.
Call the vertical line h.
h/ sin 80 = 7/ sin 10
h = (7 sin 80) / sin 10
= 39.7.
Area of parallelogram = 30 X 39.7
= 1191 cm²
The Area of Parallelogram whose side length is 30 cm is 1,190.952 square cm.
Given:
Side length = 30 cm
Using Trigonometry
tan 80 = P / Base
5.6712 = P / 7
P = 39.6984 cm
Using the formula for Area of parallelogram
= Base x height
= 30 x 39.6984
= 1,190.952 square cm.
Therefore, the area is 1,190.952 square cm.
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1.2 Generate a three-column table where you evaluate how learning takes place according to: • Piaget • Vygotsky • Bruner (15)
While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.
Here's a three-column table evaluating how learning takes place according to Piaget, Vygotsky, and Bruner:
Theorist Approach to Learning Key Concepts
Piaget Constructivism 1. Schema: Individuals actively construct their knowledge through assimilation and accommodation, organizing information into mental structures called schemas. 2. Stages of Development: Learning occurs through cognitive development stages, from sensorimotor to formal operational, where individuals progressively acquire more complex mental abilities. 3. Active Exploration: Children learn best through hands-on exploration and interactions with the physical world.
Vygotsky Sociocultural Theory 1. Zone of Proximal Development (ZPD): Learning takes place within the gap between a learner's actual developmental level and their potential level with guidance from a more knowledgeable other. 2. Social Interaction: Learning is facilitated through social interactions with peers and adults, such as cooperative learning and scaffolding. 3. Cultural Tools: The use of language, symbols, and cultural artifacts plays a central role in cognitive development and learning.
Bruner Constructivism 1. Scaffolding: Instruction should provide support and guidance tailored to the learner's current abilities to help them progress to higher levels of understanding. 2. Discovery Learning: Learners construct knowledge by actively exploring and discovering concepts and relationships on their own. 3. Spiral Curriculum: Learning is organized in a spiral manner, revisiting key concepts and building upon previous knowledge in a progressive and interconnected way.
While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.
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a rectangle has an area of 240 square centimeters and a length of 32 centimeters. what is the width of the rectangle? use the formula A= lw
Answer:
7.5
Step-by-step explanation:
Elena is 56 inches tall what is her height in meters?
Answer: 1.4 meters
divide the length value by 39.37
56/39.37= 1.4
Which sequence of transformations proves that shape I is similar to shape II?
The sequence of transformations that proves that the shapes are similar is given as follows:
B. a reflection across the x-axis, and then a dilation by a scale factor of 1.5
How to obtain the transformations?First, we have that the orientation of the figure, hence it was reflected.
The figure was reflected from the second quadrant to the third quadrant, hence the figure was reflected over the x-axis.
The base segment changes from a length of 2 units to a 3 units, hence the scale factor of the dilation is given as follows:
3/2 = 1.5.
Hence option B is the correct option for this problem.
Missing InformationThe missing parts of the problem are given by the image presented at the end of the answer.
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Sydney is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. Let C represent the total cost, in dollars, of producing p phones in a given day. A graph of C is shown below. Write an equation for C then state the y -intercept of the graph and determine its interpretation in the context of the problem.
The equation of a line in slope-intercept form, is given by:
\(y=mx+b\)Where m represents the slope of the line, which is the rate of change of y with respect to x, and b represents the y-intercept of the line, which is the initial value of y when x=0.
If we use C to represent the vertical axis and p for the horizontal axis, then:
\(C=mp+b\)From the data on the graph, we can see that C=200 when p=0. Then, the initial value is 200, then:
\(b=200\)On the other hand, C=250 when p=1. Substitute this information in the equation to find the value of m:
\(\begin{gathered} C=mp+200 \\ \Rightarrow250=m(1)+200 \\ \Rightarrow m=50 \end{gathered}\)Therefore:
\(C=50p+200\)Since Sydney pays for the building and equipment regardless of the number of manufactured phones, then the initial value represents the rent of that building and equipment.
The y-intercept of the function is 200, which represents the rent of the building and equipment, or the cost of producing 0 phones.
3. What is the volume of this complex figure?
3 m
4 m
6 m
4 m
7m
The volume of the given complex structure would be = 56 m³
How to calculate the volume of the given structure?The structure is made up of the big and small cubes.
The volume of the big cube = length × breadth × width = 7 × 3 × 4 = 84 m³
The volume of the small cube cut out = length * breadth * width = 4 × 7 × (4 - 3) = 28 m³
Volume of the complex figure = 84 m³ - 28 m³ = 56 m³
The volume of the complex figure shown in the diagram is 56 m³.
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Which function has the same range as \(f(x)= - 2\sqrt{x} =-3 + 8\\\)
Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].
To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).
The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.
In other words, the range of f(x) is (-∞, 5].
So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.
Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.
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mike is 46 yrs old. He is 4 yrs older than 3 times his son Jared's age. Find Jared's age
Answer:
Jared is 14 years old
Step-by-step explanation:
Find the interest.
. 750$, 6.5%, 2years
Answer:
simple interest=$97.50.
compound interest= $100.668
Step-by-step explanation:
Given:
Principal (P) = $750
Rate (R) = 6.5% (in decimal form, 0.065)
Time (T) = 2 years
Simple Interest = Principal*Rate*Time
Using the formula, the simple interest is calculated as follows:
Simple Interest = $750*0.065*2 = $97.50
Therefore, the simple interest for $750 with a 6.5% interest rate over 2 years is $97.50.
Again:
Compound Interest = Principal*(1 + Rate)^(Time)-Principal
Using the same values as above, the compound interest can be calculated as follows:
Compound Interest = $750*(1+0.065)^(2)-$750
= $750*1.065^2 -$750
= $750 × 1.134225 - $750
= $850.66875-$750
= $100.668
Therefore, the compound interest for $750 with a 6.5% interest rate over 2 years is $100.668
?
Use a graphing calculator to approximate (to three decimal places) the
minimum and maximum values for f(x) = -2x5 - x2 + 5x + 3.
Answer:
See below (and graph)
Step-by-step explanation:
Review the attached graph for the minimum and maximum values.
Note: This problem can also be solved with Calculus. Do not read ahead if you don't understand Calculus.
The local maximums and minimums of a function are where \(f'(x)=0\), thus, by taking the derivative of \(f(x)=-2x^5-x^2+5x+3\), we have \(f'(x)=-10x^4-2x+5\). Setting the derivative equal to 0, you will obtain the same values by graphing the equation.
I need help with question please solve!
Answer:
x<5
Step-by-step explanation:
there is an open point so it will be < or> and it represents less than five. There are a lot of good yt videos:)
I need help! 25 brainly points!
The surface areas for each figures are:
220 ft² 410 cm²596 cm²360 cm²Surface area of cylinders include: 132π mm²22π ft²396π square inches.How to calculate surface areas?1. The surface area of the cuboid is:
Top and bottom: 2(10 ft x 4 ft) = 80 ft²
Front and back: 2(10 ft x 5 ft) = 100 ft²
Sides: 2(4 ft x 5 ft) = 40 ft²
Total surface area = 80 + 100 + 40 = 220 ft²
2. The surface area of the cuboid is:
Top and bottom: 2(18 cm x 5 cm) = 180 cm²
Front and back: 2(18 cm x 5 cm) = 180 cm²
Sides: 2(5 cm x 5 cm) = 50 cm²
Total surface area = 180 + 180 + 50 = 410 cm²
3. The surface area of the prism is:
Top and bottom: 2(5 cm x 14 cm) = 140 cm²
Front and back: 2(5 cm x 12 cm) = 120 cm²
Sides: 2(12 cm x 14 cm) = 336 cm²
Total surface area = 140 + 120 + 336 = 596 cm²
4. The surface area of the stacked cuboids is:
Top and bottom of first cuboid: 2(6 cm x 7 cm) = 84 cm²
Front and back of first cuboid: 2(6 cm x 2 cm) = 12 cm²
Sides of first cuboid: 2(7 cm x 2 cm) = 28 cm²
Front and back of second cuboid: 2(7 cm x 2 cm) = 28 cm²
Sides of second cuboid: 2(2 cm x 4 cm) = 8 cm²
Front and back of third cuboid: 2(2 cm x 10 cm) = 40 cm²
Sides of third cuboid: 2(10 cm x 8 cm) = 160 cm²
Total surface area = 84 + 12 + 28 + 28 + 8 + 40 + 160 = 360 cm²
5. The surface area of the cylinder is:
Top and bottom: 2π(6 mm)² = 72π mm²
Side: 2π(6 mm)(5 mm) = 60π mm²
Total surface area = 72π + 60π = 132π mm²
6. The surface area of the cylinder is:
Top and bottom: 2π(1 ft)² = 2π ft²
Side: 2π(1 ft)(10 ft) = 20π ft²
Total surface area = 2π + 20π = 22π ft²
7. The surface area of the cylinder stacked on a cube is:
Top and bottom of cylinder: 2π(5 m)² = 50π m²
Side of cylinder: 2π(5 m)(8 m) = 80π m²
Surface area of cube: 6(10 m x 13 m) = 780 m²
Total surface area = 50π + 80π + 780 = (130π + 780) m²
8. The surface area of the cylinder is:
Top and bottom: 2π(9 in)² = 162π in²
Side: 2π(9 in)(4 in) = 72π in²
Therefore, the total surface area of the cylinder is:
2(162π in²) + 72π in² = 396π in²
So the surface area of the cylinder is 396π square inches.
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Image transcribed:
Find the surface area of each figure.
10 ft
18 cm
5 cm
4 ft
5 ft
3.
4.
6 cm
7 cm
2 cm
5 cm
12 cm
14 cm
4 cm
10 cm
8 cm
Find the surface area of each cylinder. Leave your answer in terms of π.
5.
6 mm
6.
1 ft
5 mm
10 ft
7.
5 m
8.
4 in.
8 m
10 m
9 in.
13 m
11 m
247
Journal and Practice Workbook
Geometry
To determine if a new sandwich on the menu is preferred more than the original, the manager of the restaurant takes a random sample of customers that have tried both
sandwiches and asks them which sandwich they like best.
A- Survey
B- Observational Study
C- Experimental
D- This is not a statistical question.
answer: A survey
explanation: The manager of the restaurant is conducting a survey to determine which sandwich is more preferred by customers. He is taking a random sample of customers that have tried both sandwiches and asking them which sandwich they like best. The survey method is a statistical way of collecting data and it is a non-experimental design, because the manager is not controlling the variables that may affect the outcome. The outcome of this survey is based on the customers' preference of the sandwiches, and it is a way to gather data on their opinion
ACTIVITY 2 Continued
> Solve each problem.
Kathy works after school to finish assembling the 82 favors needed for the school
dance. When she starts at 3:15 PM, she counts the 67 favors already assembled.
She works until 4:30 PM to finish the job.
How many favors can Kathy assemble each minute?
Answer:
.2
Step-by-step explanation:
3:15 to 4:30 is 75 minutes
she had to assemble 15 since there were already 67 made
divide 15/75
.2 per minute
12.44 = 4x what does x =
4 * x = 12.44
4/4 * x = 12.44 / 4
x = 3.11
Answer:
x = 3.11
Step-by-step explanation:
To find the value of 'x', divide both sides of the equation by 4
12.44 = 4x
\(\dfrac{12.44}{4}=\dfrac{4x}{4}\\\\\\3.11=x\)
In the decimal 14.8765 the 5 is in the
place.
Answer:
The 5 is in the thousandths place
8 is the 'ones'
7 is the tenths
6 is the hundredths
5 is the thousandths
Step-by-step explanation:
Factor the expression.
g²r +
9²₂² - 6g²rs²t+
DONE
__jp²t)(
5422)
To factor the expression, we need to identify any common factors that can be pulled out of the terms.
The terms g²r and 9²₂² have a common factor of g². The terms 6g²rs²t and -6g²rs²t have a common factor of -6g²rs²t. The term 5422 does not have any factors in common with the other terms.
Therefore, the expression can be factored as:
(-6g²rs²t)(g²r + 9²₂²) + 5422
This is the fully factored form of the expression.
????
g(a)= a^6- 5a
f(a)=–2a +5
Find g(f(a))
Answer:
(-2a+5)^6-5(-2a+5)
Step-by-step explanation:
plug f(a) into g(a) where there is an 'a'
You sailed 0.055 units to the left and found treasure at 0.085 units find where the ship started
Find the area of each face of the triangular prism and the total surface area.
Drag each tile to its matching measurement. Each number may be used once or not at all.
9514 1404 393
Answer:
24160120200528Step-by-step explanation:
The area of each triangular face is given by the formula ...
A = 1/2bh
The triangular faces have a base of b=8 cm, and a height of h=6 cm. Their area is ...
A = 1/2(8 cm)(6 cm) = 24 cm²
__
Each of the rectangular faces has a length of 20 cm. The width depends on which face is of interest. In each case, the area is given by ...
A = LW
Bottom face: A = (20 cm)(8 cm) = 160 cm²
Back face: A = (20 cm)(6 cm) = 120 cm²
Sloped face: A = (20 cm)(10 cm) = 200 cm²
__
The total area is the sum of the areas of all of the faces and bases. There are two triangular bases, so the total area is ...
(2×24 + 160 +120 +200) cm² = 528 cm²
All writing assignments need to be typed, double-spaced with standard margins and
font
Examining test grades from two different classes
Statistics is the science of collecting organizing and summarizing data in order to
make conclusions and predictions or this spent you will be given data and
focus what can be done after you have that data So this assignment will focus on the
organization and summarization of data and will finish with a brief consideration of
Limitations and extensions.
You are given som scores for the students in two different classes (class X and dans
7. Before you start writing you need to collate the data Still treat these as sample
data because these are not all the students in the school. You will organize the data
by making a comparative stem and leaf display. You will then break the grades down
into letter prades A, B, CD and F(we will not use any or-prades) and will make a
comparative bar graph of the two classes based on those letter prades. You get to
decide what numerical prades are A Ketc but make sure you include this in your
writeup. Finally you will find the mean, median and standard deviation for each
class. Once you have your graphs and values you are ready to start writing the
paper
You will begin the writing assignment portion by introducing statistics in general
and describing how charts/tables and other statiscal values are used to summarie
data and address the particulars of this assignment (be sure to include a thesis
statement). Follow this up by explaining/summarizing what you can from each data
set and then compare the two data sets. Be sure to include some speculation on the
circumstances that could have led to these results. Realize this isn't intended for you
to explain how you made the graphs/charts or how you computed the mean,
standard deviation, etc but is intended to explain what the graphs/charts and values
are telling us. You will finish this assignment with a discussion of the limitations of
the current data and how this could be extended to have a deeper discussion
You will probably need at least 1 paragraph to discuss each data set followed by a
paragraph where you compare the two data sets. In this explanation you should
make some guesses to explain why the data is what it is some conclusions/
/
predictions) but be clear what is given by the data vs what is speculation. You
should think of yourself as a student and discuss which class you might prefer to be
in. You should also think of yourself as the instructor and discuss how you might
interpret the results and the overall class performance. You'll probably need at least
1 more paragraph to discuss limitations and extensions and then finish with your
conclusion
Answer:
just anily what you now and make the pharaghs
Step-by-step explanation:
Given the function f(x) = −3x3 + 9x2 − 2x + 3, what part of the function indicates that the left end starts at the top of the graph? (2 points)
What is the perimeter of a triangle with vertices (-1, 2). (-1, -1), and (3, -1)?
Answer:
perimeter = 12
Step-by-step explanation:
In a right-angled triangle, a² + b² = c²
where c is the hypotenuse, and a and b are opposite and adjacent, either way.
have a look at attached documents for answer and explanation
The table shows the relationship between the depth, in meters, of a submarine and
the time, in minutes, since it started a dive.
Submarine Depth
Time (minutes) Depth (meters)
2
100
4
180
09
260
8
340
Part B
Determine whether the relationship is proportional or not. Explain how the relationship
shown in the table supports your answer. Explain how your graph supports your answer.
Enter your answer and your explanations in the space provided.
9514 1404 393
Answer:
not proportional -- the y-intercept is not zero
Step-by-step explanation:
A quick check of table values shows the relationship is not proportional:
100/2 = 50 ≠ 45 = 180/4
That is, the ratios of table values are not constant.
__
When the values are graphed, the line through the points does not intersect the origin. This is further indication the relationship is not proportional.