Answer:E
Step-by-step explanation:
( row total * column total ) / ( Table total)
The length of each side of a square is extended 5 in. The area of the resulting square is 64 in,2 Find the length of a side of the
original square.
Answer: i donno
Step-by-step explanation:
ask Professor Ahmad Shaoki
the size field now has the number of elements for the trees array of the class tree. a null reference to this array has already been declared at the class level. it is time to give the trees array dimension.
C++ : // CPP program to construct binary
// tree from given array in level
// order fashion Tree Node
#include <bits/stdc++.h>
using namespace std;
/* A binary tree node has data,
pointer to left child and a
pointer to right child */
struct Node
{
int data;
Node* left, * right;
};
/* Helper function that allocates a
new node */
Node* newNode(int data)
{
Node* node = (Node*)malloc(sizeof(Node));
node->data = data;
node->left = node->right = NULL;
return (node);
}
// Function to insert nodes in level order
Node* insertLevelOrder(int arr[],
int i, int n)
{
Node *root = nullptr;
// Base case for recursion
if (i < n)
{
root = newNode(arr[i]);
// insert left child
root->left = insertLevelOrder(arr,
2 * i + 1, n);
// insert right child
root->right = insertLevelOrder(arr,
2 * i + 2, n);
}
return root;
}
// Function to print tree nodes in
// InOrder fashion
void inOrder(Node* root)
{
if (root != NULL)
{
inOrder(root->left);
cout << root->data <<" ";
inOrder(root->right);
}
}
// Driver program to test above function
int main()
{
int arr[] = { 1, 2, 3, 4, 5, 6, 6, 6, 6 };
int n = sizeof(arr)/sizeof(arr[0]);
Node* root = insertLevelOrder(arr, 0, n);
inOrder(root);
}
Use the number line below, where RS= 5y +5, ST = 4y + 8, and RT = 67.
a. What is the value of y?
b. Find RS and ST.
R
a. What is the value of y?
y = (Type an integer or a decimal.)
Answer:
y = 6RS = 35ST = 32Step-by-step explanation:
The segment sum theorem tells you the whole is the sum of the parts. That can be used to write an equation for y.
SetupRS +ST = RT
(5y +5) +(4y +8) = 67
SolutionSimplifying, we get ...
9y +13 = 67
9y = 54 . . . . . . . . subtract 13
y = 6 . . . . . . . . . divide by 9
RS = 5y +5 = 5·6 +5 = 35
ST = 4y +8 = 4·6 +8 = 32
The values of interest are ...
y = 6RS = 35ST = 32The recursive formula, an = an-1 - 12 with a0 = 84 describes the amount of water left, in gallons, in a bathtub n after the drain stopper was pulled. Find a5, he amount of water left in the tub after 5 minutes.
_________
The amount of water left in the tub after 5 minutes is; 24 gallons
How to solve recursive formula?The given recursive formula is expressed as;
aₙ = aₙ ₋ ₁ - 12
We are told that a₀ represents the amount of water left, in gallons, in a bathtub n after the drain stopper was pulled.
Thus, when n = 1, we have;
a₁ = a₁ ₋ ₁ - 12
a₁ = a₀ - 12
a₁ = 84 - 12
a₁ = 72
Then;
a₂ = a₁ - 12
a₂ = 72 - 12
a₂ = 60
It will seem that it follows a sequence pattern of;
aₙ = 84 - 12n
Thus;
a₅ = 84 - 12(5)
a₅ = 24 gallons
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If Carol pays $62.90 to fill the 17-gallon gas tank in her vehicle and she can drive 330
miles on one tank of gas, about how much does she pay per mile to drive her vehicle?
Answer:
Step-by-step explanation:10
Analyze the graph of the function f(x) to complete the statement. On a coordinate plane, a curved line, labeled f of x, with a minimum value of (0, negative 3) and a maximum value of (negative 2.4, 17), crosses the x-axis at (negative 3, 0), (negative 1.1, 0), and (0.9, 0), and crosses the y-axis at (0, negative 3). f(x)<0 over and what other interval?
The interval where function f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)
We have,
The function f(x) crosses the x-axis at (-3, 0), (-1.1, 0), and (0.9, 0), it means that f(x) is negative for x values less than -3, between -1.1 and 0.9, and greater than 0.
Therefore, we can say that:
f(x) < 0 for x < -3 and -1.1 < x < 0.9
And,
The function f(x) has a minimum value of (0, -3) and a maximum value of (-2.4, 17).
This means that f(x) is positive for x values greater than -2.4. Therefore, we can say that:
f(x) > 0 for x > -2.4
Now,
Combining these inequalities, we can say that f(x) is negative over the intervals (-∞, -3) and (-1.1, 0.9), and positive over the interval (-2.4, ∞).
So,
The interval where f(x) is negative and greater than 0 is:
(-∞, -3) U (-1.1, 0)
Thus,
The interval where f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)
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Instructions: Given the quadratic function, find the -value of the vertex (axis of symmetry).
Answer
x = 4
Explanation
Given:
The given quadratic equation is
\(y=x^2-8x-2\)What to find:
To find the x-value of the vertex of the quadratic equation.
Step-by-step solution:
The solution involves two steps.
Step 1: Find the value of y at maximum (y-max)
The formula to get y-max is given by
\(y(max)=c-\frac{b^2}{4a}\)From the quadratic equation given, a = 1, b = -8 and c = -2
Therefore
\(y(max)=-2-\frac{(-8)^2}{4\times1}=-2-\frac{64}{4}=-2-16=-18\)y-max = -18
Step 2: Determine x-vale at y-max.
\(\begin{gathered} -18=x^2-8x-2 \\ \\ x^2-8x-2+18=0 \\ \\ x^2-8x+16=0 \\ \\ By\text{ }factorization \\ \\ x^2-4x-4x+16=0 \\ \\ x(x-4)-4(x-4)=0 \\ \\ (x-4)(x-4)=0 \\ \\ x-4=0,x-4=0 \\ x=4 \end{gathered}\)The x-value of the vertex is 4
find the exact value of cos(7\pi /12)
7π/12 lies in the second quadrant, so we expect cos(7π/12) to be negative.
Recall that
\(\cos^2x=\dfrac{1+\cos(2x)}2\)
which tells us
\(\cos\left(\dfrac{7\pi}{12}\right)=-\sqrt{\dfrac{1+\cos\left(\frac{7\pi}6\right)}2}\)
Now,
\(\cos\left(\dfrac{7\pi}6\right)=-\cos\left(\dfrac\pi6\right)=-\dfrac{\sqrt3}2\)
and so
\(\cos\left(\dfrac{7\pi}{12}\right)=-\sqrt{\dfrac{1-\frac{\sqrt3}2}2}=\boxed{-\dfrac{\sqrt{2-\sqrt3}}2}\)
Write an equation
of the line with a slope
Of 4 that passes through
the point (-2, 1) in point slope
Form
Points B and D are points of tangency. Find the values of x. B. 2x2 + 4 А 22
The value of x from the given circle C is 3 units.
What is tangent property of a circle?A Tangent of a Circle is a line that touches the circle’s boundary at exactly one point. The tangential point is the place where the line and the circle meet. The lengths of tangents drawn from an external point to a circle are equal.
From the given figure, AB and AD are the tangents from same external point.
Then, AB=AD
2x²+4=22
2x²=22-4
2x²=18
x²=9
x=±√9
x=±3
Therefore, the value of x from the given circle C is 3 units.
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graph each equation by using a table -3=5x-y
The graph of the equation is shown below
Graph of linear equations
From the question, we are to graph the given equation
The given equation is
-3 = 5x - y
To graph the equation,
First we will determine the x-intercept and y-intercept
x-intercept
Put y = 0 in the equation
-3 = 5x - 0
-3 = 5x
x = -3/5
y-intercept
Put x = 0 in the equation
-3 = 5(0) - y
-3 = 0 - y
-3 = -y
y = 3
Using the x-intercepts and y-intercepts, we can plot the graph of the equation.
The graph of the equation is shown below
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If ABCD is dilated by a factor of 3, the
coordinate of B' would be:
-5 -4
MA
А
B
3
26
1
-2 -10
-1
-2.
-3
C
2 3 4 5
D
B' = ([?], [])
Enter
If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).
What is dilation?In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.
This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.
Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:
Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).
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Which of the following values of x will result in an imaginary number for
√2x+7
x ≤ -4 will result in an imaginary number. (From the graph it's actually 3.5, so if you want to view in REAL number then it's x ≤ -3.5 which will result in imaginary numbers.)
But if you want an integer then It's x ≤ -4
Real Number as it's x ≤ -3.5
9 is 60% of what number? 12 45 15 54
Answer:
15
Step-by-step explanation:
3 is 20% or 1/5 of the number. 3 x 5 = 15
Answer:
The answer is 15.
I need to add more characters
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Claudias skis are 160 cm long . How many meters is this?
Answer:
1.6 meters.
Step-by-step explanation:
There are 100 centimeters in 1 meter. You are changing the centimeters to meters. In this case, divide by 100:
160/100 = 1.6
1.6 meters is your answer.
~
Answer:
1.6 meters.
Step-by-step explanation:
There are 100 centimeters in 1 meter. You are changing the centimeters to meters. In this case, divide by 100:
160/100 = 1.6
1.6 meters is your answer.
please mark this answer as brainlest
Laura is bowling 5 games. Her first 4 scores were 118, 82, 134, and 85.
To end up with an average score of at least 116, what is the lowest score Laura will need in the fifth game?
Look at the graph. On a coordinate plane, a graph increases through (negative 1, 4), levels off at (0, negative 3), and then increases up through (2, 5). Leslie analyzed the graph to determine if the function it represents is linear or non-linear. First she found three points on the graph to be (–1, –4), (0, -3), and (2, 5). Next, she determined the rate of change between the points (–1, –4) and (0, -3) to be StartFraction negative 3 minus (negative 4) Over 0 minus (negative 1) EndFraction = StartFraction 1 Over 1 EndFraction = 1. and the rate of change between the points (0, -3) and (2, 5) to be StartFraction 5 minus (negative 3) Over 2 minus 0 EndFraction = StartFraction 8 Over 2 EndFraction = 4. Finally, she concluded that since the rate of change is not constant, the function must be linear. Why is Leslie wrong? The points (–1, –4), (0, –3), and (2, 5) are not all on the graph. The expressions StartFraction negative 3 minus (negative 4) Over 0 minus (negative 1) EndFraction and StartFraction negative 3 minus (negative 5) Over 2 minus 0 EndFraction both equal 1. She miscalculated the rates of change. Her conclusion is wrong. If the rate of change is not constant, then the function cannot be linear.
Answer:
Answer is A
explanation:
there is no point (0.-3) on the graph.
Answer:
it's D edg 2020
Step-by-step explanation:
Fátima is saving up to buy a 300 bike she saves $25 eatch week from her babysitting money. Whitch linear equation represents the amount Fatima still has to save after x weeks
Answer:
B
Step-by-step explanation:
B is right because she is earning money, so the slope would have to be positive.
Next, the y-intercept of the 300 needs to be negative because she does not have the money to start with. It is also negative because you can think of it that you are subtracting the final babysitting money with 300.
Answer:
y = 25x - 300
Step-by-step explanation:
She has to save up 25 PER week and once she has enough, you subtract 300 since that's the cost of the bike
2) Determine whether 5 would be a solution to the inequality w+ 11 < 22.* 1 po Yes, it is a solution. No, it is not a solution.
Answer:
An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.
Answer:
Yes, w=5 is a solution for this inequality.
Step-by-step explanation:
w+11<22
If w=5, this is:
5+11<22
16<22, which is true. So w=5 works as a solution
Please help me with this
An example of a function that models a linear relationship between two quantities, x and y is y = mx + b
How to explain the functionWe need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:
y = mx + b
In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.
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choose two ancient mathematical system from egypt,babylonia,greece, and islam then discuss the contributions of these two that you believe made significant contributions to modern mathematics and people's lives today
Two ancient mathematics concepts are given as follows:
Fractions from the Egyptians.Euclidean Geometry from the Greeks.How did the Egyptians use fractions?The Egyptians used fractions extensively in their calculations and were the first civilization to develop a notation for fractions. Their notation used a symbol for the numerator placed above a symbol for the denominator, similar to our modern fraction notation.
How did the Greeks use Euclidean geometry?Euclid's Elements is one of the most influential works in the history of mathematics. It provided a systematic and rigorous approach to geometry, which has been the basis of mathematical education for over two thousand years.
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Brett and Andy applied for the same credit card from the same bank. Brett was given a card with an APR of 12.6%. What was his monthly percentage rate? Andy was given a card with an APR of 16.2% what was his monthly percentage rate? if each of them had an average daily balance of $7,980, and had to pay a finance charge, how much more would. Andy pay than Brett?
Andy would pay $23.94 more in finance charges compared to Brett, given their respective APRs, average daily balances, and monthly percentage rates.
To calculate the monthly percentage rate (MPR) from the given annual percentage rate (APR), we divide the APR by 12.
For Brett:
APR = 12.6%
MPR = 12.6% / 12 = 1.05%
For Andy:
APR = 16.2%
MPR = 16.2% / 12 = 1.35%
Next, we can calculate the finance charge for each individual using the formula: finance charge = average daily balance * MPR.
For Brett:
Finance charge = $7,980 * 1.05% = $83.79
For Andy:
Finance charge = $7,980 * 1.35% = $107.73
To find the difference in the finance charges between Andy and Brett, we subtract Brett's finance charge from Andy's finance charge:
Difference = $107.73 - $83.79 = $23.94
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Y=2x 2 -6x find the value
Answer:
Y=-4x 2
Step-by-step explanation:
There are 5 yellow golf balls, 3 red golf balls, and 10 white golf balls in a bag. What are the odds of randomly choosing a yellow golf ball?
Answer:
5/18
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
1+1=2
The following three shapes are based only on squares, semicircles, and quarter circles. find the perimeter and the area of each shaded part. give your answer as a completely simplified exact value in terms of π (no approximations).
The area and the perimeter of the figure are given as follows:
Area: 36(π + 2) cm².Perimeter: (24 + 4.2425π) cm.How to obtain the area of the figure?The figure is composed as follows:
Right triangle of sides 12 cm.Semi circle with diameter that is the hypotenuse of the right triangle.Applying the Pythagorean Theorem, the diameter of the circle is given as follows:
d² = 2 x 12²
\(d = \sqrt{2 \times 12^2}\)
d = 16.97 cm.
Then the radius of the circle is given as follows:
r = 0.5d
r = 0.5 x 16.97
r = 8.485 cm.
The area of a circle of radius r is given by the multiplication of π and the square of the radius, as follows:
A = πr².
Hence, considering that the figure is a semi circle, we have that:
Ac = 0.5 x π x (8.485)²
Ac = 36π
The area of the right triangle is of:
At = 0.5 x 12 x 12
At = 72 cm².
Meaning that the area of the shape is given as follows:
A = Ac + At.
A = 36π + 72
A = 36(π + 2) cm².
How to obtain the perimeter of the shape?The perimeter of the shape is obtained by the sum of 2 times 12 cm and the circumference of the semi circle.
The circumference of a semicircle of diameter d is given as follows:
C = 0.5πd.
Hence:
C = 0.5π x 8.485
C = 4.2425π.
Meaning that the perimeter of the shape is given as follows:
P = (24 + 4.2425π) cm.
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Please solve the question below 5
Answer:
Answer is B
Step-by-step explanation:
P(x<2) - P(x<-2) = .9772 - .0228 = .9544
= 95%
A line that passes through (3, 1) and (0, -3)
(b) Suppose CG = 3 in., CH = 2 in. and GE = 5 in. Is it possible to find the length of DH? If so, show how
to find the length. If not, explain why not.
When CG = 3 in., CH = 2 in. and GE = 5 in. the information made available in the question is not enough to solve for DH
What are similar triangles?This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent
Examining the figure, shows that lines GH and DE should be parallel to create similar triangles
For similar triangles the sides are proportional and this can be used to solve for DH using the equation below'
CG / CE = CH / CD
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The complete question is attached
Question 2(Multiple Choice Worth 2 points)
(Slope-Intercept Form MC)
The table shown represents a linear relationship.
x 0 1 3 4
y −8 −6 −2 0
Based on the table, what is the equation of the linear relationship in slope-intercept form?
y = 2x − 8
y = 2x + 8
y = −2x + 4
y = −2x − 4
The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.
To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.
By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).
Slope (m) = (change in y) / (change in x)
= (0 - (-8)) / (4 - 0)
= 8 / 4
= 2
Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.
Using the point (0, -8):
-8 = 2(0) + b
b = -8
Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.
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