You plant a tree in early spring. When you planted a tree it was 2 feet tall. The tree grows at a constant rate. Every year it grows ⅔ feet.
What is season of spring?The spring season is the season of the year that occurs between winter and summer which is characterized by a gradual increase in temperature.
From the graph given in the diagram above, the X axis represents the number of years while the y axis represents the height of the trees in feet.
From the table, when X is 0; Y is 2. This means that when the tree was planted, it was 2 feet tall.
Also from the table, if after every 3 years the tree = 4 feet which is 2 feet difference from start. It then means that each year would be ;
3 years = 2 feet
1 year = 2/3 feet
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Solve the folliwing equations.
9+4x=-15
Answer:
\(9 + 4x = - 5 \\ 4x = - 5 - 9 \\ 4x = - 14 \\ x = \frac{ - 14}{4} \\ x = \frac{7}{4} \\ x = 1.75 \)
Step-by-step explanation:
please mark me brainliest
(a) Calculate 8% of £3.25.
Answer:
8÷100×3.25
=£0.26
hope it is helpful to you
Step-by-step explanation:
8÷100×3.25
=0.26
espero ter te ajudado
1. True or False
3 € {1, 2, 3, 4, 5}
True
O False
the anwser for this is true
Answer:
I also think it's true because it mostly made sense to me.
Your bill at a restaurant is $42.70. If you were to tip 20%, how much will you tip? What is the total with tip?
What is a solution to the system of equations that includes quadratic function f(x) and linear function g(x)?
f(x) = 3x^2 + x + 3
Answer:
-1 and 4/3
Step-by-step explanation:
So first we want to find the equation for the linear function g(x):
We know that it is linear, so it will follow the equation
y = mx + b
m is the slope, and b is the y-intercept
First, find the slope:
We can see that every time the x increases by 1, the output value is increased by 2
This means that the slope will be 2
Then, find the y-intercept:
The y-intercept is when the x value is equal to 0, so in this table, when the x value is 0, the output is 7
So putting these number into the equation will give us:
y = 2x + 7
Now to find the solutions:
You have to set these equations equal to each other and solve for x
The set up should look like this:
\(3x^{2} + x +3 = 2x+7\)
Put all of the values on one side:
\(3x^{2} -x-4 = 0\)
And then solve for x by factoring:
\(3x^{2} +3x-4x-4\) = 0
\((3x^{2} +3x)+(-4x-4)\) = 0
\(3x(x+1)-4(x+1)\) = 0
(x+1)(3x-4) = 0
Finally, to get the x values:
x + 1 = 0
x = -1
and
3x - 4 = 0
3x = 4
x = 4/3
So the answers are:
x = -1 and 4/3
The solution to the system of equations that includes quadratic function f(x) and linear function g(x) is (-1,5) and (4/3,29/3).
What is a polynomial function?A polynomial function is a relation where a dependent variable is equal to a polynomial expression. A polynomial expression is an expression including numbers and variables, where variables are raised to non-negative powers.
The general form of a polynomial expression is:
a₀ + a₁x + a₂x² + a₃x³ + ... + aₙxⁿ.
The highest power to a variable is the degree of the polynomial expression.
When degree = 2, the function is a quadratic function.
When degree = 1, the function is a linear function.
How do we solve the given question?The quadratic function is given to us:
f(x) = 3x² + x + 3.
We need to determine the linear equation g(x). Since it's a linear equation we use the two-point method to determine the equation.
The two-point formula is:
y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁)
We take the points g(2) = 11, g(1) = 9
g(x) - g(1) = ((g(2)-g(1))/(2-1))*(x-1)
or, g(x) - 9 = ((11-9)/(2-1))*(x-1)
or, g(x) - 9 = 2(x-1)
or, g(x) = 2x - 2 + 9 = 2x + 7
∴ g(x) = 2x +7, is the linear function g(x)
We are asked to find the solution to the system of equations f(x) and g(x).
To find the solution we need to check what is the common solution to both f(x) and g(x).
For that, we equate f(x) and g(x).
3x² + x + 3 = 2x + 7
or, 3x² - x - 4 = 0
or, 3x² + 3x - 4x - 4 = 0
or, 3x(x+1) -4(x+1) = 0
or, (3x-4)(x+1) = 0
∴ Either 3x-4=0 ⇒ x = 4/3
or, x+1=0 ⇒ x = -1.
g(-1) = 5 (from the table)
f(-1) = 3(-1)² + (-1) + 3 = 3 - 1 + 3 = 5
g(4/3) = 2(4/3) + 7 = 8/3 + 21/3 = 29/3
f(4/3) = 3*(4/3)² + (4/3) + 3 = 16/3 + 4/3 + 9/3 = 29/3
∴ f(-1) = g(-1) and f(4/3) = g(4/3), so
The solution to the system of equations that includes quadratic function f(x) and linear function g(x) is (-1,5) and (4/3,29/3).
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What is the breakdown of this math problem? 8 2/5 - 6 7/10 =
let's first off, convert the mixed fractions to improper fractions.
\(\stackrel{mixed}{8\frac{2}{5}}\implies \cfrac{8\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{42}{5}}~\hfill \stackrel{mixed}{6\frac{7}{10}} \implies \cfrac{6\cdot 10+7}{10} \implies \stackrel{improper}{\cfrac{67}{10}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{42}{5}-\cfrac{67}{10}\implies \cfrac{(2)42~~ - ~~(1)67}{\underset{\textit{using this LCD}}{10}}\implies \cfrac{84-67}{10}\implies \cfrac{17}{10}\implies 1\frac{7}{10}\)
What is the exponential smoothing forecast for period 5 assuming that alpha = 0.5?
Period Heat
1 418
2 411
3 412
4 413
5 418
6 414
7 421
(Keep 2 decimals in your answer)
The exponential smoothing forecast for period 5, assuming alpha is 0.5, is 416 (rounded to two decimal places).
Exponential smoothing is a forecasting method that uses a weighted average of past observations, with more recent observations receiving higher weights. The forecast for a specific period is calculated by adding the weighted average of the previous period's forecast and the actual observation.
Given the data and alpha value provided, we can calculate the exponential smoothing forecast for period 5 using the following steps:
1. Initialize the forecast for period 1 as the actual observation for period 1: F1 = 418.
2. Calculate the forecast for period 2 using the exponential smoothing formula:
Ft = α * At-1 + (1 - α) * Ft-1
Where:
Ft = Forecast for period t
At-1 = Actual observation for period t-1
Ft-1 = Forecast for period t-1
α = Smoothing parameter (alpha)
Using the values provided, we can calculate F2:
F2 = 0.5 * 418 + (1 - 0.5) * 418 = 418
3. Repeat the calculation for periods 3, 4, and 5:
F3 = 0.5 * 412 + (1 - 0.5) * 418 = 415
F4 = 0.5 * 413 + (1 - 0.5) * 415 = 414
F5 = 0.5 * 418 + (1 - 0.5) * 414 = 416
Therefore, the exponential smoothing forecast for period 5, assuming alpha is 0.5, is 416 (rounded to two decimal places).
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A jar contains 4 green marbles 2 pink marbles 3 striped marbles. One marble is picked at random and then replaced. Then another marble is drawn at random again. What is the probability that both marbles are striped?
Answer:
3 out of 9 but if they ask to simplify its one third
Step-by-step explanation:
If the radius is 5 what is the length of arc LM?
Answer:
100/360 * 2\(\pi\)5
1000\(\pi\)/360 = 25\(\pi\)/9 = 8.722
Step-by-step explanation:
Hi everyone! I would be really glad if anyone could help me solve these step by step, I tried solving it on my own and viewing lessons, but I still don't understand. Thank you.
The equation of the function is f(x) = x(x + 2)(x -1)(x -3)
The function end behaviorFrom the graph, we have the following highlight:
As x increases, the function values increaseAs x decreases, the function values increaseThe above means that:
f(x) approaches positive infinity irrespective of the x value
Hence, the end behavior of the function is:
\(\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty \:\)
The sign of the leading coefficientSince, the function opens upward.
Then the sign of the leading coefficient is positive
The zeros of the functionThis is the point, where the graph crosses the x-axis.
From the graph, we have the zeros to be:
x = -2, x = 0, x = 1 and x = 3
Since the graph crosses the x-axis at this point, then the multiplicity of the zeros is 1
The equation of the functionIn (c), we have:
x = -2, x = 0, x = 1 and x = 3
Rewrite as:
x + 2= 0, x = 0, x - 1 = 0 and x - 3 = 0
Multiply these values
f(x) = x(x + 2)(x -1)(x -3)
Hence, the equation of the function is f(x) = x(x + 2)(x -1)(x -3)
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there are 641 boys and 490 girls in greenland school. Each child makes 8 art pieces for classroom decorations. All the art pieces are then distributed eqaully among 58 classrooms. How many art pieces are in each classroom
Answer:
156 pieces of art is in one classroom alone
Step-by-step explanation:
take 641+490=1,131
then times 1,131 times 8 which gives u 9,048
then divide 9,048 by 58 for the classrooms which gives u 156
a solid box is 1515 cm by 1010 cm by 88 cm. a new solid is formed by removing a cube 33 cm on a side from each corner of this box. what percent of the original volume is removed?
9% of the volume of the original volume is removed.
Given that the dimensions of solid box is 15 cm by 10 cm by 8 cm.
So the volume of solid box = 15*10*8 cubic cm = 1200 cubic centimeter
The volume of the cube with side 3 cm = 3*3*3 = 27 cubic centimeter
For each corner one cube so the number of cube is 4
So total volume removed = 4*27 = 108 cubic centimeters
The percent of volume is removed = (108/1200)*100% = 9%
Hence the percentage of volume removed is 9%.
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Find the area of a semicircle with a radius of 6
Answer: => 56.52 cm²
Step-by-step explanation:
Find the one-sided limit fit exists). (If the limit does not exist, enter DNE.) -9 lim x-9-(x-9)²
To find the one-sided limit of the function f(x) = (x-9)² as x approaches 9 from the left (x → 9-), we need to evaluate the expression (-9)². The result of this calculation is 81, indicating that the one-sided limit of f(x) as x approaches 9 from the left is 81.
The expression (-9)² simplifies to 81. This means that as x approaches 9 from the left (x → 9-), the function f(x) = (x-9)² approaches the value 81. Therefore, the one-sided limit of f(x) as x approaches 9 from the left is 81.
It's important to note that this result is specific to the left-hand side limit.
To find the two-sided limit (if it exists), we would need to evaluate the limit as x approaches 9 from both the left and the right and ensure that the values match.
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a pe class has 48 4848 students. one group of 24 2424 students chooses to play volleyball. the teacher then divides the remaining students into as many groups of 5 55 as possible to shoot baskets. after that, the remaining students (not on a volleyball or basketball team) climb the rock wall.
In this PE class with 48 students, one group of 24 students decides to play volleyball, leaving 24 students who will be shooting baskets. The teacher then divides the remaining 24 students into as many groups of 5 as possible, which results in 4 groups. Each group will have 5 students, and one student will be left without a group.
In this scenario, there are 48 students in the PE class. One group of 24 students chooses to play volleyball, leaving 24 students (48 - 24 = 24) remaining. The teacher then divides the remaining students into as many groups of 5 as possible to shoot baskets.
To determine how many groups of 5 can be formed, we'll divide the remaining students by 5:
24 ÷ 5 = 4 (with a remainder of 4)
So, the teacher can create 4 groups of 5 students each for shooting baskets. This accounts for 20 students (4 groups x 5 students = 20).
Since there were 24 students remaining after the volleyball group, and 20 of those students have been assigned to basketball groups, we're left with 4 students (24 - 20 = 4) who will climb the rock wall.
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A rectangular piece of paper has an area of ⅓ square meter. If the length of the paper is ⅗ meter, what is the breadth of the paper?
Answer: \(\frac{5}{9}\ m\)
Step-by-step explanation:
Given
Area of the rectangular piece of paper is \(A=\frac{1}{3}\ m^2\)
Length of the paper is \(l=\frac{3}{5}\ m\)
Suppose width of the paper is \(w\)
Area is the multiplication of length and width
\(\therefore A=lw\\\\\Rightarrow \dfrac{1}{3}=\dfrac{3}{5}\times w\\\\\Rightarrow w=\dfrac{5}{9}\ m\)
Thus, the width of the paper is \(\frac{5}{9}\ m\)
Jada is making circular birthday invitations for her friends. The diameter of the circle is 12 cm. She bought 180 cm of ribbon to glue around the edge of each invitation.
How many invitations can she make?
Answer:
4 invitations
Step-by-step explanation:
diameter = 12 cm
radius = 6 cm
total ribbon = 180 cm
EDGE of invitation (circumference) = 2*pi*r
1 invitation = 12*pi cm of ribbon (i'll be using 3.14 as pi)
= 37.68 cm of ribbon
180/37.68 = 4.77707006369 invitation s
BUT! you can't have 0.777 of an invitation, so the most invitations she can make is 4
I hope this helped :)
which of the following is not an example of an existing source of data? a. the internet b. internal company records c. u.s. census bureau d. data from an experiment
From the given list of choices, which is not example of an existing source of data will be option D. Data from an experiment.
Existing source means, we attain the data which is not new, that mean which is collected by somebody else already and made available to us. Here the internet is a source of all kinds of data and information, which is already stored in servers. It is continuously updated and we use it for references and studies.
The internal company records are collected and stored as per the company protocol for over a long period of time. The US census bureau data is also an existing data, from which we take references.
But an experimental data, or an observational data etc are not examples of existing data, because there will be new data after each different experiment and when we conduct the same experiment again we could get a different result. So it is not an example of existing data.
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Animal shelters in a county need at least 15% of their animals to be adopted weekly to have room for the new animals that are brought into the various shelters. The county manager takes a random sample of shelters each week to estimate the overall proportion of animals that are adopted. If he concludes that the proportion has dropped below 15%, he will not accept any new animals into the shelters that week. He tests the hypotheses: H0: The adoption rate is 15%, and Ha: The adoption rate is less than 15%. What is a Type I error, and what is its consequence in this context?
The manager believes the adoption rate is still 15%, when it actually has dropped below 15%. The manager will accept more animals into the shelters and will run out of room.
The manager believes the adoption rate has dropped below 15%, when it actually has not. The manager will accept more animals into the shelters and will run out of room.
The manager believes the adoption rate has dropped below 15%, when it actually has not. The manager will not accept more animals into the shelters, when there actually is room to care for those animals.
The manager believes the adoption rate is still 15%, when it actually has dropped below 15%. The manager will not accept some animals into the shelters, thinking there will not be enough room, when they could have taken care of those animals.
answer c
Answer:
the amount will give 69 percentage of nothing thanks
6. Subtract (-2)-3-6. Hint: Using the order of operations, first subtract the first two numbers, then subtract 6 from the result.
O-7
07
O 11
O-11
The value of the expression according to the order of operations is -11. Thus option D is correct.
According to the statement
We have to find that the value of the given expression.
So, For this purpose, we know that the
The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression.
From the given information:
The expression are :
(-2)-3-6
Now solve it with the order then
(-2)-3-6 = (-2)-3-6
(-2)-3-6 = -2-3-6
Now add the first two terms
then
(-2)-3-6 = -5-6
Now, Add next two terms
Then
(-2)-3-6 = -11.
The value becomes -11.
So, The value of the expression according to the order of operations is -11. Thus option D is correct.
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answer needed within one hour :(
Step-by-step explanation:
ANGLE ,x=60
B=C(isoscles)
A=B.As sides are equal.
What is the primary difference between an experiment and an observational study?
The key difference between observational studies and experimental designs is that a well-done observational study does not influence the responses of participants, while experiments do have some sort of treatment condition applied to at least some participants by random assignment.
What is an observational study?An observational study is used in fields such as epidemiology, social sciences, psychology, and statistics to draw conclusions from a sample to a population where the independent variable is not under the researcher's control due to ethical concerns or logistical constraints.
Observational studies involve the study of participants who have had no forced change in their circumstances, i.e., no intervention.
Although participants' behavior may change while being observed, the goal of observational studies is to look into the 'natural' state of risk factors, diseases, or outcomes.
Observational studies are those in which researchers examine the impact of a risk factor, diagnostic test, treatment, or other intervention without attempting to change who is or is not exposed to it.
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(Please help!) find the area of the trapezoid by forming a parallelogram
Answer:
8 square units
Step-by-step explanation:
The "top" half of the trapezoid of height 4 with bases 3 and 1 can be cut off and added to the "bottom" half to form a parallelogram with a base of 4 and a height of 2. The area of that parallelogram will be ...
A = bh = 4·2 = 8 . . . square units.
4.There are many cylinders with radius 6 meters. Let h represent the height in meters and Vrepresent the volume in cubic meters.a.Write an equation that represents the volume V as a function of the height h.b.Sketch the graph of the function, using 3.14 as an approximation for π.C.If you double the height of a cylinder, what happens to the volume? Explain this using the equationd.If you multiply the height of a cylinder by 1/3, what happens to the volume? Explain this using the graph.
Answer:
(a)V=36πh
Explanation:
• Radius = 6 meters
\(\text{Volume of a cylinder}=\pi r^2h\)Part A
An equation that represents the volume V as a function of the height h is:
\(\begin{gathered} V=\pi\times6^2\times h \\ V=36\pi h \end{gathered}\)Part B
Using 3.14 as an approximation for π
\(\begin{gathered} V=36\times3.14\times h \\ V=113.04h \end{gathered}\)The graph of the function is attached below: (V is on the y-axis and h is on the x-axis).
Part C
The initial equation for volume is:
\(V=113.04h\)When h=1
\(V=113.04\times1=113.04m^3\)If you double the height of a cylinder, h=2:
\(V=113.04\times2=226.08m^3\)We observe that when the height is doubled, the volume of the cylinder is also doubled.
Part D
The initial equation for volume is:
\(V=113.04h\)If the height of the cylinder is multiplied by 1/3, we have:
\(\begin{gathered} V=\frac{113.04h}{3} \\ V=37.68h \end{gathered}\)The volume of the cylinder will be divided by 3.
Using the graph, we observe a horizontal stretch of the graph by 1/3.
or According to his running log, Zachary averaged 4 miles per week last month and 25% less this month. How much did he average this month?
Answer:3
Step-by-step explanation:
You are selling lemonade for $1.50, a bag of kettle corn for $3, and a hot dog for $2.50 at a fair. Write and simplify an expression for the amount of money you receive when P people buy one of each item.
Answer:
1.50+3+2.50 = *answer*
The gateway arch in st. Louis, mo is approximately 630 ft tall. How many u. S. Nickels would be in a stack of the same height? each nickel is 1. 95 mm thick.
The gateway arch in st. Louis, MO is approximately 630 ft tall, the same height of the Nickels would be in a stack is 98474.
Height of Gateway Arch in St. Louis, MO = 630ft tall
We are asked, how many nickels would be in a stack of the same
height when 1 nickel is 1.95 mm thick.
Convert height in ft to mm
1 ft = 304.8 mm
630ft = X
After Cross Multiply,
630ft × 304.8mm/1ft
= 192024 mm.
To find how many nickel would be in a stack of the same height
= Total thickness/ Thickness of 1 US dime
= 192024 mm/1.95mm
= 98473.8
≈98474 nickels
Therefore, the number of nickel that would be in a stack of the same height is 98474.
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PLS ANSER ALL THEM IF U CAN 100 POINT AND BRAINLEST A contractor has made a scale drawing of an addition he will be making to a house. On the drawing each foot is represented by ¾ inch. The length of the room in the drawing is 9 inches and the width is 6 ¾ inches
1.) What is the actual length of the room (in feet)?
2.) What is the actual width of the room (in feet)?
3.) What is the actual perimeter of the room
Answer:
12 ft for the actual length of the room
9ft for the actual width of the room
42 ft for the actual perimeter of the room
Step-by-step explanation:
Scale is:
1 foot = 3/4 inch
1 inch = 1: 3/4 foot = 4/3 foot
a. The length of the room
9 inches = 9*4/3 foot = 12 ft in the length of the room
b. The width of the room
6 3/4 inches = 27/4 inches = 27/4*4/3 = 9 ft in the width of the room
a. (width+ length) * 2
b. (9+12) *2
42 ft in perimeter of the room
Answer:
12 ft.9 ft.42 ft.Step-by-step explanation:
1.
To find the actual length of the room, we need to convert the length on the drawing from inches to feet. Since each foot is represented by 3/4 inch, we can set up the proportion:
9 inches / (3/4 inch per foot) = x feet
Simplifying the right side of the equation, we get:
9 inches / (3/4 inch per foot) = 12 feet
Therefore, the actual length of the room is 12 feet.
2.
To find the actual width of the room, we need to follow the same process as above. Since the width on the drawing is 6 3/4 inches, we have:
6 3/4 inches / (3/4 inch per foot) = x feet
Simplifying the right side of the equation, we get:
6 3/4 inches / (3/4 inch per foot) = 9 feet
Therefore, the actual width of the room is 9 feet.
3.
To find the actual perimeter of the room, we need to add up the lengths of all four sides. Since the length is 12 feet and the width is 9 feet, we have:
Perimeter = 2(Length) + 2(Width)
Perimeter = 2(12 feet) + 2(9 feet)
Perimeter = 24 feet + 18 feet
Perimeter = 42 feet
Therefore, the actual perimeter of the room is 42 feet.
An angle measures 48° more than the measure of its complementary angle. What is the
measure of each angle?
Answer:
The angles measure 21 degrees and 69 degrees.
Step-by-step explanation:
Complementary angles have a sum of 90 degrees when added together.
Let's call the complementary angle x. We can write the angle that we're looking for as in terms of x as x + 48.
Since these angles must sum to 90 we can write the equation and solve:
x + x + 48 = 90
2x + 48 = 90
2x + 48 - 48 = 90 - 48
2x = 42
x = 21
x + 48 = 69
21 degrees and 69 degrees.
Answer:
69° and 21° is the answer.
Which of the following is an obtuse triangle? A. Triangle BB. Triangle CC. Triangle A D. Triangle D
Triangle b is a obtuse triangle.
What is a triangle ?A closed triangle has three vertices, three sides, and three angles. The symbol for a triangle with the three vertices P, Q, and R is PQR. Sandwiches and signboards in the shape of triangles are the most prevalent triangle-shaped objects.
A triangle has an obtuse angle if one of the inner angles is greater than 90 degrees. In an obtuse triangle, if one angle is greater than 90°, the total of the other two angles is also less than 90°.
As the triangle B have one interior angle as 126 degree which is greater than 90
so it follows the property of obtuse triangle
Hence, triangle b is a obtuse triangle.
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