EXPLANATION
Using a composite figure to approximate the area of the figure will give us the needed surface,
The area of the composite is approximately the area of the squares:
Area of square:
A= base * height = 1.0*1.0 = 1 cm^2
Since we have approximately 22 squares inside the figure, the approximate area will be as follows:
\(Area_{composite\text{ figure}}=22*1cm^2=22cm^2\)Therefore, the solution is approximately 22 square units.
If g(x) = x2 + 3, find g(4).
11
19
16
8
Factor completely and then place the factors in the proper location on the grid.
4 n2 + 28 n + 49
Answer:
(2n+7)^2
Step-by-step explanation:
Model the data in the table with a linear equation
in slope-intercept form. Then tell what the slope and y-intercept
represent.
Write the linear equation in slope-intercept form.
y =
(Use integers or decimals for any numbers in the expression.)
Time Worked, Wages Earned
x (h)
1
3
6
9
y (S)
8.00
24.00
48.00
72.00
The data in the table can be modeled by this linear equation in slope-intercept form: y = 8x - 5.
The slope is 8, which means the wages earned increases at rate of 8 dollars per hour as the time increases.
The y-intercept is -5 and it represent the initial wages earned.
How to determine an equation of this line?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;
y = mx + c
Where:
m represent the gradient, slope, or rate of change.x and y represent the data points.c represent the vertical intercept.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (24.00 - 8.00)/(3 - 1)
Slope (m) = 16.00/2
Slope (m) = 8
At data point (1, 3), a linear equation in slope-intercept form for this line can be calculated as follows:
y - y₁ = m(x - x₁)
y - 3 = 8(x - 1)
y = 8x - 8 + 3
y = 8x - 5
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Wesley paid $1.60 for a 20 ounce bottle of soda.
What was the price per ounce?
O 80 cents
O53 cents
O 32 cents
O 8 cents
Answer:
$0.08
Step-by-step explanation:
20 x .08 = 1.60
Answer:
8 cents
Step-by-step explanation:
because if you multiply 8 by 20 you get 1.60
What is the measurement of the unknown angle?
Answer:
To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.
Step-by-step explanation:
Write a word problem that can be solved by dividing 11 by 8
Answer:
Step-by-step explanation:
A grandma wants to divide her 11 dollars in her 8 grandsons, How much will take everyone?
11/8 =1.375
So every grandson has 1 dollar and 37 pennies
PLEASE HELP!!!!!
will mark brainliest!!
22
Step-by-step explanation:
fx is the addition of all the digits which are present in the column of the table called fx
The
graph of a quadratic function
Find the domain and the range.
with vertex (-3, 4) is shown In the figure below.
Step-by-step explanation:
domain: x is any value, ⇒ x∈(-∝;+∝);
range: y is not greater, than 4, ⇒ y∈(-∝;4].
Kevin and Christy both saved money for their class trip. Kevin saved the same amount each week. The total amount that Kevin saved at the end of every two weeks is shown in the table below.
Answer:
Step-by-step explanation:
so if they both saved up the same amount then add the number of Kevin's money and Christy's money together and you have your answer.
A worker is tiling the floor of a rectangular room that is 12 feet by 15 feet. The tiles are square with side lengths 1 & 1/3 feet. How many tiles are needed to cover the entire floor? Show your reasoning.
Answer:
12/15
Step-by-step explanation:
12/1x1/15=12/15
Which ordered pair is the solution to this system of equations?
2y= 6x + 10
y= 2x + 4
Answer:
the answer is (-1,2), hope this helps.
A six-sided die is rolled. What is the probability that a number greater than 4 is rolled? Permutation or Combonation
The probability that a number greater than 4 is rolled is 1/3
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 which is equivalent to 100% in percentage.
Probability = sample space / total outcome
sample space here is 5 and 6 since these are the numbers greater than 4 Ina six sided die
The total outcome is 6, because there are six numbers in the die
Probability = 2/6 = 1/3
Therefore the probability of rolling a number greater than 4 is 1/3
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In triangle ABC, the length of side AB is 18 inches and the length of side BC is 26 inches. Which of the following could be the length of side AC? A. 46 inches B. 49 inches C. 6 inches D. 32 inches
Answer:
D
Step-by-step explanation:
The Triangle Inequality states that the sum of the two largest side lengths of a triangle must be greater than the length of the largest side. Let's check these answers.
A: Since 18 + 26 > 46 is a false statement, A is not the answer.
B: Since 18 + 26 > 49 is false, B is not the answer.
C: Since 18 + 6 > 26 is false, C is not the answer.
D: Since 18 + 26 > 32 is false, D is the answer.
Answer:
since ab=18 and bc= 26 and if u draw out the shape and write them down u would mostly get d but I not too sure is d that the best I can do
Step-by-step explanation:
If A(0, 4), B(5, y), and AB = 13. What is y?
The required value of y for the given segment AB is given as y = 16, -8.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
here,
A(0, 4), B(5, y), and AB = 13.
Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂- y₁]²]
Substitue the value in the above expression,
13 = √[[5 - 0]² + [y - 4]²]
169 = 25 + [y - 4]²
[y - 4]² = 144
y - 4 = ± 12
y = 16, -8
Thus, the required value of y for the given segment AB is given as y = 16, -8.
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What is the domain of the square root function graphed below?
What is the volume of this figure
5ft 10ft 15ft 15ft 5ft 10ft 5ft
Answer:
Volume is length x width x height. So it depends on the labeled sides. Maybe define what is length and width and height OR multiply all is your instructions call for it.
Step-by-step explanation:
Which graph displays points that correspond to the x and y values in the table?
hm this is weird, i thought i answered the question. or maybe they're two different questions? line graph because i said so. i know im so helpful
The team gets
6 points for a win
3 points for a draw
O points for a loss.
Work out the total number of points that the team got.
Green Grass Landscaping spread 7 1/2 pounds of grass seed evenly over 10 lawns. If each lawn was the same size, how many pounds of grass seed did each lawn get?
Step-by-step explanation:
To find out how many pounds of grass seed each lawn got, we need to divide the total amount of grass seed spread by the number of lawns.
First, we need to convert the mixed number 7 1/2 to an improper fraction:
7 1/2 = (2 x 7 + 1)/2 = 15/2
So Green Grass Landscaping spread 15/2 pounds of grass seed.
To find out how many pounds of grass seed each lawn got, we divide the total amount by the number of lawns:
15/2 ÷ 10 = (15/2) ÷ (10/1) = (15/2) x (1/10) = 15/20 = 3/4
Therefore, each lawn received 3/4 of a pound of grass seed.
the sum of two numbers is 48.
the second number is seven times the first number
Answer:
\(\huge\boxed{\sf x =6,\ y = 42}\)
Step-by-step explanation:
Let the numbers be x and y
Given condition:x + y = 48 --------(1)
y = 7x -------------(2)
Put Eq. (2) in (1)
x + 7x = 48
8x = 48
Divide 8 to both sides
x = 48/8
x = 6Put x = 6 in Eq. (2)
y = 7 (6)
y = 42\(\rule[225]{225}{2}\)
Assume a is the 1st number and b is the 2nd number, a + b = 48
b = 7a (the second number is seven times the first number)
a = a
So, equation: a + 7a = 48
a + 7a = 48
8a = 48
a = 6
To find b = 7 (6) = 42
Hope it helps!
solve the PDE using separation of variables method Uxx = 1/2 Ut 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
The general solution of the partial differential equation is:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
How to solve Partial Differential Equations?The partial differential equation (PDE) is given as:
Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Assume that the solution can be written as a product of two functions:
U(x, t) = X(x)T(t)
Substituting this into the PDE, we have:
X''(x)T(t) = (1/2)X(x)T'(t)
Dividing both sides by X(x)T(t), we get:
(X''(x))/X(x) = (1/2)(T'(t))/T(t)
Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:
(X''(x))/X(x) = -λ²
(1/2)(T'(t))/T(t) = -λ²
Simplifying the second equation, we have:
T'(t)/T(t) = -2λ²
Solving the second equation, we find:
T(t) = Ce^(-2λ²t)
Applying the boundary condition U(0, t) = 0, we have:
U(0, t) = X(0)T(t) = 0
Since T(t) ≠ 0, we must have X(0) = 0.
Applying the boundary condition U(3, t) = 0, we have:
U(3, t) = X(3)T(t) = 0
Again, since T(t) ≠ 0, we must have X(3) = 0.
Therefore, we can conclude that X(x) must satisfy the following boundary value problem:
X''(x)/X(x) = -λ²
X(0) = 0
X(3) = 0
The general solution to this ordinary differential equation is given by:
X(x) = Asin(λx) + Bcos(λx)
Applying the initial condition U(x, 0) = 5*sin(4πx), we have:
U(x, 0) = X(x)T(0) = X(x)C
Comparing this with the given initial condition, we can conclude that T(0) = C = 5.
Therefore, the complete solution for U(x, t) is given by:
U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)
where:
Σ represents the summation over all values of n
λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).
To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):
X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0
X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0
From the first equation, we have Bₙ = 0.
From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.
This implies that 3λₙ = nπ, where n is an integer.
Therefore, λₙ = (nπ)/3.
Substituting the eigenvalues into the general solution, we have:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
where Aₙ are the coefficients that can be determined from the initial condition.
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On a test that has a normal distribution, a score of 29 falls three standard deviations above the mean, and a score of 23 falls one standard deviation above the mean. Determine the mean of this test.
The mean of the test is 20.
To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.
Let's denote the mean of the test as μ, and the standard deviation as σ.
We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:
29 = μ + 3σ
Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:
23 = μ + σ
Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.
From the second equation, we can isolate μ:
μ = 23 - σ
Substituting this value into the first equation, we have:
29 = (23 - σ) + 3σ
Simplifying the equation, we get:
29 = 23 + 2σ
2σ = 29 - 23
2σ = 6
σ = 3
Substituting the value of σ back into the second equation, we find:
μ = 23 - 3
μ = 20
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Write the "to prove" statement for the following theorem.
If one angle of a triangle is 90°, then the other two add to 90°.
To prove: If one angle of a triangle is 90°, then the sum of the other two angles is equal to 90°. is sum of angles on a triangle is 180 degrees
What is sum of angles on a triangle?In a triangle, the sum of the interior angles in the triangle is 180 degrees
For right triangle, that is angle that has one side as 90 degrees, the sum of the other two sides will be 90 degrees
Assuming the other angles are x and y, then a side is 90 degrees
x + y + 90 = 180 (sum of interior angles on a triangle)
x + y = 180 - 90
x + y = 90 degrees
hence the sum of the interior angles is 90 degrees
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4OA.O A 21 - fy <3OB. Fx – 2y = 2OC. 1 - 2y > 3OD. 20 - y = 2Which inequality is represented by the graph
the solution to the given inequality is the shaded area below the solid line
so
the inequality is of the form
\(y\leq mx+b\)The probability of an event is 0.26. Describe the likelihood of the event.
Answer:
Not likely
Step-by-step explanation:
0.0 -- 0.32 = Not likely
0.33 -- 0.66 = Neither likely or unlikely
0.67 -- 1.0 = Likely
Hope this helps. Have a nice day.
Answer:26% {not likely}
Step-by-step explanation:
0.26 move the decimal over 2 times = 26%
40 and less let it rest 50 and more raise the score.
hi! what’s the square root of 82 rounded to the nearest tenth?
Answer:
9.1
Step-by-step explanation:
I went into my calculator and typed in \(\sqrt{82}\) and I was given:
9.055385...
So to round the nearest tenth, you look at the tenths place (which is 0) and go one number behind that (which is 5). Since the number behind the tenths place is 5 or higher, you round up to 1
I came across a question in the pigeonhole principle that – Let S be a set of n integers. Show that there is a subset of S, the sum of whose elements is a multiple of n by pigeonhole.
How do I solve this question??
In this case the difference is a multiple of n and as you see the difference is still a sum of some integers subset from 1 to n
What is subset?
If every element of set A is also an element of set B, then set B is a superset of set A and set A is a subset of set B. A and B could be equal; if they are not, then A is a legitimate subset of B. Include refers to the property that one set is a subset of another.
Consider the set{a1,a1+a2,a1+a2+a3,...,a1+a2+...+an}You have a set of n elements .If all remainders in dividing by n, are different, one of the remainders is 0 and we are done .Otherwise two remainders are the same.
In this case the difference is a multiple of n and as you see the difference is still a sum of some integers from 1 to n However I think it would be natural to consider the set{0,a1,a1+a2,a1+a2+a3,…,a1+a2+⋯+an}of n+1 elements, so that there is only one case instead of two.
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A guy wire runs from the ground to a cell tower. The wire is attached to the cell tower 150 feet above the ground. The angle formed between the wire and the ground is 50° (see figure). (Round your answers to one decimal place.)
(a) How long is the guy wire?
(b) How far from the base of the tower is the guy wire anchored to the ground?
Answer: a the guy wire is 150 ft
Step-by-step explanation: b the guy is the wire is 350 sorry not good and english but answer is 350 ft
A line passes through -8,5 and has a slope of 3/4 write the equation in slope intercept form
The equation of the line in slope-intercept form is y = (3/4)x.
To write the equation of a line in slope-intercept form, we need to use the slope-intercept form equation: y = mx + b,
where m is the slope and b is the y-intercept.
Given that the line passes through the point (-8, 5) and has a slope of 3/4, we can substitute the values into the equation to find the y-intercept (b).
First, let's find the value of b using the point-slope form equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line.
Using (-8, 5) as the point and 3/4 as the slope, we have:
5 - 5 = (3/4)(-8 - x)
0 = (3/4)(-8 - x)
0 = (-3/4)(8 + x)
0 = -6 - (3/4)x
Next, we can solve for x:
(3/4)x = -6
x = -6 \(\times\) (4/3)
x = -8
Now that we have the value of x, we can substitute it back into the equation to find the value of b:
0 = -6 - (3/4)(-8)
0 = -6 + 6
0 = 0
So, the value of b is 0.
Finally, we can write the equation of the line in slope-intercept form:
y = (3/4)x + 0
y = (3/4)x.
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You rent an apartment that costs $1100 per month during the first year, but the rent is set to go up $110 per year. What would be the monthly rent during the 11th year of living in the apartment?
Pls answer
Answer: The initial cost on rent on your first year living there is 1100. Supposing you live there for another 11 years your rent would be 2200 per month.
Step-by-step explanation:110x11=1100 1100+1100=2200
Answer: I think it's 1,100
Step-by-step explanation: We know that the apartment costs $1100 per month during the first year but if it goes up 110 dollars per year how much would total be in 11th year?
First we need to multiply 1100 and 110 which equals 121,000
Secondly, of course we need to make sure that our anwser is correct, now we divide 121,000 with 11 years (which equals 1100)
But of course if it is not correct, I'm very sorry. But Have a nice day/night!
Hope it helped!
-GreenteaStudys