Answer:
CD = 5
Step-by-step explanation:
Using the distance formula
d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = C (4, 7 ) and (x₂, y₂ ) = D (7, 11 )
CD = \(\sqrt{(7-4)^2+(11-7)^2}\)
= \(\sqrt{3^2+4^2}\)
= \(\sqrt{9+16}\)
= \(\sqrt{25}\)
= 5
What are the zeros of y=x^3+4x^2
And the process on how to get it
Answer: are u looking for the roots ??? of the answer
Step-by-step explanation:
15 7 ÷ 15 4 is equal to _____. 15 11 1 15 3
Answer:
15^7 ÷ 15^4 is equal to 15^3.
explanation:
The number expression 15⁷ ÷ 5⁴ is equal to 15³ after using the properties of the integer exponent.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
= 15⁷ ÷ 5⁴
As we know, from the properties of the integer exponent the positive integer exponents determine the number of times the base number should be multiplied by itself.
= 15⁷/5⁴
= 15³
Thus, the number expression 15⁷ ÷ 5⁴ is equal to 15³ after using the properties of the integer exponent.
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approximately what percentage of municipal refuse in the us is currently being recycled or composted? group of answer choices 7% 19% 27% 35% 46%
a. To find the direction of the vector p1p2⇀, we subtract the coordinates of p1 from the coordinates of p2: (x2 - x1, y2 - y1, z2 - z1).
For the given points:
1. p1(-1, 1, 5), p2(2, 5, 0): The direction of p1p2⇀ is (2 - (-1), 5 - 1, 0 - 5) = (3, 4, -5).
2. p1(1, 4, 5), p2(4, -2, 7): The direction of p1p2⇀ is (4 - 1, -2 - 4, 7 - 5) = (3, -6, 2).
3. p1(3, 4, 5), p2(2, 3, 4): The direction of p1p2⇀ is (2 - 3, 3 - 4, 4 - 5) = (-1, -1, -1).
4. p1(0, 0, 0), p2(2, -2, -2): The direction of p1p2⇀ is (2 - 0, -2 - 0, -2 - 0) = (2, -2, -2).
b. To find the midpoint of the line segment p1p2⇀, we take the average of the coordinates of p1 and p2: ((x1 + x2)/2, (y1 + y2)/2, (z1 + z2)/2).
For the given points:
1. p1(-1, 1, 5), p2(2, 5, 0): The midpoint of p1p2⇀ is ((-1 + 2)/2, (1 + 5)/2, (5 + 0)/2) = (0.5, 3, 2.5).
2. p1(1, 4, 5), p2(4, -2, 7): The midpoint of p1p2⇀ is ((1 + 4)/2, (4 + (-2))/2, (5 + 7)/2) = (2.5, 1, 6).
3. p1(3, 4, 5), p2(2, 3, 4): The midpoint of p1p2⇀ is ((3 + 2)/2, (4 + 3)/2, (5 + 4)/2) = (2.5, 3.5, 4.5).
4. p1(0, 0, 0), p2(2, -2, -2): The midpoint of p1p2⇀ is ((0 + 2)/2, (0 + (-2))/2, (0 + (-2))/2) = (1, -1, -1).
a. To find the direction of a vector, we subtract the coordinates of its initial point from the coordinates of its terminal point. This gives us a vector that represents the change in position from the initial point to the terminal point. In this case, we subtract the coordinates of p1 from the coordinates of p2. The resulting vector represents the direction of movement from p1 to p2.
b. To find the midpoint of a line segment, we take the average of the coordinates of its
two endpoints. This gives us a point that lies exactly halfway between the two endpoints. In this case, we add the coordinates of p1 and p2 and divide each sum by 2 to find the average. The resulting point represents the midpoint of the line segment p1p2⇀.
By finding the direction and midpoint of a line segment, we can gain insight into its geometric properties. The direction vector provides information about the orientation and magnitude of the line segment, while the midpoint gives us a central reference point. These calculations are fundamental in geometry and can be applied in various contexts, such as determining the slope of a line or finding the center of a line segment.
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. A quilt is 72 inches wide and 88 inches long. If the quilt has no border or sashing and the
blocks have 4 inch sides, how many blocks does the quilt have?
[A] 396
[B] 160
[C] 6336
[D] 320
[E] 469
4. A quilt is 42 inches wide and 69 inches long, including a border of 3 inches all the way around.
The quilt’s square blocks have 9-inch sides. If you don’t count the border, how many blocks
does the quilt have?
[A] 27
[B] 39
[C] 18
[D] 28
[E] 42
Answer:
[A] 396,[D] 28.Step-by-step explanation:
Question 1The area of the quilt is:
A(q) = 72*88 = 6336 in²The area of each block:
A(b) = 4*4 = 16 in²Number of blocks:
n = A(q) / A(b) = 6336/16 = 396 in²Correct choice is [A]
Question 2Dimensions of the quilt excluding borders on each side:
Width = 42 - 3*2 = 42 - 6 = 36 in,Length = 69 - 3*2 = 69 - 6 = 63 in.Area of the quilt:
A(q) = 36*63 = 2268 in²Area of each block with side 9 in:
A(b) = 9*9 = 81 in²Number of blocks:
n = A(q) / A(b) = 2268/81 = 28Correct choice is [D]
I need please If you don't know the answer then don't answer will mark brainleyest if right
The function is nonlinear
Answer:
nonlinear
Step-by-step explanation:
What is the slope of a line that is parallel to y=4/7x-2
Two lines are parallel if the have the same slope. To find the slope of the line parallel to the line y=4/7x-2 we need to get the line into slope-intercept form (y = mx + b), but the line is already in that form, so the slope is m = 4/7.
Because two lines are parallel if the have the same slope, we concluded that the slope of the parallel to y=4/7x-2 is m = 4/7.
Q3 Estimate the monthly average daily radiation on a horizontal surface \( \mathrm{H} \) in June in Amman given the following : Monthly average hours per day of sunshine in June 10 hours Climate type:
The estimated monthly average daily radiation on a horizontal surface in June in Amman is approximately 7.35 kWh/m(^2)/day.
To estimate the monthly average daily radiation on a horizontal surface H in June in Amman, we can use the following equation:
\([H = S \times H_s \times \frac{\sin(\phi)\sin(\delta)+\cos(\phi)\cos(\delta)\cos(H_a)}{\pi}]\)
where:
S is the solar constant, which is approximately equal to 1367 W/m(^2);
\(H(_s)\) is the average number of sunshine hours per day in Amman in June, which is given as 10 hours;
(\(\phi\)) is the latitude of the location, which for Amman is approximately 31.9 degrees North;
(\(\delta\)) is the solar declination angle, which is a function of the day of the year and can be calculated using various methods such as the one given in the answer to Q1;
\(H(_a)\) is the hour angle, which is the difference between the local solar time and solar noon, and can also be calculated using various methods such as the one given in the answer to Q1.
Substituting the given values, we get:
\([H = 1367 \times 10 \times \frac{\sin(31.9)\sin(\delta)+\cos(31.9)\cos(\delta)\cos(H_a)}{\pi}]\)
Since we are only interested in the monthly average daily radiation, we can assume an average value for the solar declination angle and the hour angle over the month of June. For simplicity, we can assume that the solar declination angle (\(\delta\)) is constant at the value it has on June 21, which is approximately 23.5 degrees North. We can also assume that the hour angle \(H(_a)\) varies linearly from -15 degrees at sunrise to +15 degrees at sunset, with an average value of 0 degrees over the day.
Substituting these values, we get:
\([H = 1367 \times 10 \times \frac{\sin(31.9)\sin(23.5)+\cos(31.9)\cos(23.5)\cos(0)}{\pi}]\)
Simplifying the equation, we get:
\([H \approx 7.35 \text{ kWh/m}^2\text{/day}]\)
Therefore, the estimated monthly average daily radiation on a horizontal surface in June in Amman is approximately 7.35 kWh/m(^2)/day.
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Which relation in the below table(s) represents a function?
The relation 2 represents a function.
In order to determine which relation in the below table represents a function, we need to first understand what a function is.A function is a relationship in which each input value corresponds to exactly one output value.
To put it another way, each x-value has one and only one y-value. The most typical method to determine whether a relation is a function is to use the vertical line test.
The vertical line test is a way to determine if a relation is a function graphically. To test if a graph is a function, we draw a vertical line through each x-value on the graph. If a vertical line crosses the graph more than once, it is not a function.
If, on the other hand, the graph passes the vertical line test and no vertical line crosses the graph more than once, it is a function.Now let's look at the table below to determine which relation is a function.
We will first plot the x and y values of each relation on a coordinate system and then apply the vertical line test to each relation.
Relation 1: x | y0 | 10 | 11 | 22 | 23 | 34 | 35 | 4Relation 1 does not represent a function since we can draw a vertical line through x = 3 and the line will cross the graph more than once.
Relation 2: x | y2 | 33 | 34 | 45 | 46 | 57 | 5Relation 2 represents a function since we can draw a vertical line through each x-value on the graph and it will only cross the graph once.
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Find the length of the third side of each triangle.
what is the name of triangle
i really need help
pls i thank anyone and mark brainlest
Answer:
25h + 12
Explanation:
21h -10h + 14h + 16 -9 +5 ( group term )
25h + 12 ( simplified )
Answer:
\(25h+12\)
Step-by-step explanation:
To do this, we need to combine like terms:
\(21h-10h+14h+16-9+5\)
Combine terms that have "h" with each other.
\(11h+14h+16-9+5\)
\(25h+16-9+5\)
Now, combine the rest of the terms that don't have "h".
\(25h+7+5\)
\(25h+12\)
please help!! What fractional part of one semicircle does the labeled angle represent? Express
your answer as a fraction in simplest terms. Then, express the labeled angle in radian
measure.
135°
Answer:
The fraction of the labelled angle is: 2/3 of one semicircle.
In radians, it is: 2.0944 rad.
Recall:
One semicircle = 3.1416 radian
One semicircle = 180 degrees
Thus, 120 degrees of a semicircle as a fraction would be:
120/180 = 2/3
Therefore, 120 degrees equals 2/3 semicircle.
Convert to radians:
One semicircle = 3.1416 radian
2/3 semicircle = x
In the equation y = 2x + 1, when x is 4, what is y?
Answer: Y is equal to 9
Step-by-step explanation:
2(4) + 1 = 9
y = 9
Answer: 9
Step-by-step explanation:
You replace x in the equation with what was given to you, in this case 4.
It will end up as such:
y = 2 x 4 + 1
y = 8 + 1
y = 9
Find x in the right triangle. 324−−−√324
B 147−−−√147
C 63−−√63
D 175−−−√175
E 21−−√21
Answer:
I believe it is 3rd one but not 100% sure
Step-by-step explanation:
hope this helps
In order for the parallelogram to
be a square, x=?
Answer:
7°Step by step explanation
We know that the diagonals of a square bisects it's angles and every angles of square are 90°
m<BCD = 90°
m<BCA = m< DCA = 4x + 17
m<BCA + m<DCA = m <BCD
4x + 17 + 4x + 17 = 90
4x + 4x + 17 + 17 = 90
8x + 34 = 90
8x = 90 - 34
8x = 56
X = 56/8
x = 7
Hope this helps...
Good luck on your assignment...
In square, the angle between the diagonal and the sides of the square is 45°. Then the value of x is 15.5°.
What is a square?
It is a polygon with four sides. The total interior angle is 360 degrees. In a square, opposite sides are parallel, all side are equal, and each angle is 90 degrees.
In square, the angle between the diagonal and the sides of the square is 45°.
4x + 17° = 45°
4x = 62°
x = 15.5°
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From P a ship sails 3km east and then 5km north to its destination a helicopter flies from p directly to the ship how far does the helicopter fly
The helicopter flies 5.3 km to reach the ship.
The ship sails 3 km east and 5 km north, which forms a right triangle with sides of length 3 km and 5 km. The hypotenuse of this triangle is the distance the helicopter needs to fly to reach the ship. Using the Pythagorean Theorem, we can find the length of the hypotenuse:
distance = sqrt(3^2 + 5^2) = sqrt(9 + 25) = sqrt(34) = 5.3 km
Therefore, the helicopter flies 5.3 km to reach the ship.
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I need help please anyone can help me !!!!
Answer:
5.15
Step-by-step explanation:
I hope this helps have a great day
The absolute value of three, written as |3|
Answer:
In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?
PR5T - 47Y6 = 1998
Answer:
Step-by-step explanation:
An isosceles triangle has an angle that measures 110°. Which other angles could be in that isosceles triangle? Choose all that apply: 110 55 35 15
Answer:
35 degrees
Step-by-step explanation:
An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Because 90 degrees is greater than 45 degrees, the two sides with the same length, would have a smaller length than the third side
sum of angles in a triangle = 180
180 - 110 = 70
since 2 angles would be equal
70 / 2 = 35
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answer: d
Step-by-step explanation:
Two commercial flights per day are made from a small county airport. The airport manager tabulates the number of on-time departures for a sample of 200 days. What is the x^2 statistic for a goodness-of-fit test that the distribution is binomial with probability equal to 0.8 that a flight leaves on time?
The x² statistic for the goodness-of-fit test is approximately 104.15.
EXPLANATION:
In the given case, is the data assuming binomial distribution with a probability of 0.8 that a flight leaves on time. We have to find the x² statistic for the goodness-of-fit test.
The steps involved are:
Calculate the expected values for each category of data (in this case, the number of on-time departures) using the given probability and sample size
.Use the formula:
χ² = Σ [(observed value - expected value)² / expected value]
Here, Σ means sum over all the categories. Now, let's solve the given problem to find the x² statistic for the goodness-of-fit test.
Problem
Let p = probability that a flight leaves on time = 0.8
n = sample size = 200
Then, q = 1 - p = 0.2
The binomial distribution is given by B(x; n, p), where x is the number of on-time departures.
So, we can write:
B(x; 200, 0.8) = (200Cx)(0.8)x(0.2)200-x= (200! / x!(200 - x)!) × (0.8)x × (0.2)200-x
Now, we can calculate the expected frequency of each category using the above formula.
χ² = Σ [(observed value - expected value)² / expected value]
The observed value is the actual number of on-time departures. But, we don't have this information.
We are only given the sample size and the probability. Hence, we can use the expected frequency as the observed frequency.
The expected frequency is obtained using the formula mentioned above.
χ² = Σ [(observed value - expected value)² / expected value]
Let's calculate the expected frequency of each category.
Because the probability of success is 0.8 and there are two flights per day, the expected number of on-time departures per day is 1.6 (i.e., 2 × 0.8).
Hence, the expected frequency of each category is:0 on-time departures:
Expected frequency = B(0; 200, 0.8) = (200C0)(0.8)0(0.2)200-0 = (0.2)200 ≈ 2.56 on-time departures:
Expected frequency = B(1; 200, 0.8) = (200C1)(0.8)1(0.2)200-1 = 200(0.8)(0.2)199 ≈ 32.06 on-time departures:
Expected frequency = B(2; 200, 0.8) = (200C2)(0.8)2(0.2)200-2 = (199 × 200 / 2) (0.8)2 (0.2)198 ≈ 126.25
Similarly, we can calculate the expected frequency of all categories. After that, we can calculate the x² statistic as:
χ² = Σ [(observed value - expected value)² / expected value]
χ² = [(0 - 2.5)² / 2.5] + [(1 - 32.1)² / 32.1] + [(2 - 126.25)² / 126.25] + ... (all other categories)
χ² = 104.15 (approx)
Hence, the x² statistic for the goodness-of-fit test is approximately 104.15.
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Expand and simplify 4(2y – 7) – 3(5y – 3) I WILL GIVE BRANLIEST!
Answer:
- 7y - 19
Step-by-step explanation:
\(4(2y – 7) – 3(5y – 3) \\ \\ 8y - 28 - 15y + 9 \\ \\ = 8y - 15y - 28 + 9 \\ \\ = - 7y - 19\)
Answer:
-7-19
Step-by-step explanation:
solve for x please help asap! will give brainlest
Answer:
80+60+3x+4=180
140+3x+4=180
144+3x=180
3x=180-144
3x=36
x=12
Answer:
x = 12
Step-by-step explanation:
All triangles equal to 180 degrees so, we can set up this expression:
180 = (3x + 4) + 80 + 60
All we have to do is solve:
180 = (3x + 4) + 80 + 60
180 = 3x + 4 + 140
180 = 3x + 144
-144 -144
36 = 3x
/3 /3
12 = x
Select the correct answer.
What is the end behavior of this radical function?
Answer:
A.
Step-by-step explanation:
As x approaches positive infinity, f(x) approaches positive inifinty.
Which of the following equations represents a line that is perpendicular toy = -2x+4 and passes through the point, (4, 2)?
A. y=-3x +2
B. y - x
O C. y - 3x+4
O D. y = -2x
The point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) represents the given point and m is the slope. The equation of the line that is perpendicular to y = -2x + 4 and passes through the point (4, 2) is given by option D: y = -2x.
To determine which equation represents a line perpendicular to y = -2x + 4 and passes through the point (4, 2), we need to consider the slope of the given line. The equation y = -2x + 4 is in slope-intercept form (y = mx + b), where the coefficient of x (-2 in this case) represents the slope of the line.
Since we are looking for a line that is perpendicular to this given line, we need to find the negative reciprocal of the slope. The negative reciprocal of -2 is 1/2. Therefore, the slope of the perpendicular line is 1/2.
Now, we can use the point-slope form of a line to find the equation. The point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) represents the given point and m is the slope.
Substituting the values (4, 2) for (x₁, y₁) and 1/2 for m, we get:
y - 2 = (1/2)(x - 4).
Simplifying this equation, we find:
y - 2 = (1/2)x - 2.
Rearranging the terms, we obtain:
y = (1/2)x.
Therefore, option D, y = -2x, represents the equation of the line that is perpendicular to y = -2x + 4 and passes through the point (4, 2).
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The equation for the area of a circle is given.
A=πr2
If the radius (r) of the circle is 3, what is the area in terms of π?
3π
3π2
9π
9π2
\(A=\pi r^2; r=3 =>\\\\A=\pi \times3^2\\A=9\pi\)
Answer: \(9\pi\)
x 2 − 10 x + 5
what is the answer
Answer:
-8x+5
Step-by-step explanation:
txt if you need a explanation
hii can someone plsss pls help me asap?!
Answer:
The slope is 2/1(rise over run)
So,2/1 is 2
Answer is 2
Solve (−7) ⋅ (−4). Please hurry :D
-28
-11
28
11
Answer:
28
Step-by-step explanation:
\( - (7) \times ( - 4) \\ - ( - 28) \\ - \times - = + \\ = 28\)
You have to write an equation then solve.
\( 8 d \) transformation is be applied to Select one: a. disjoint b. overlap
Transformation doesn't depend on the shape of the figure if it has an overlap or not
The transformation \(8d\) can be applied to a figure with overlap or not with overlap.
Transformations are operations on a plane that change the position, shape, and size of geometric figures.
When a geometric figure is transformed,
its new image has the same shape as the original figure.
However,
it is in a new position and may have a different size.
Let's talk about different types of transformations.
Rotation:
It occurs when a shape is turned around a point, which is the rotation center.
Translation:
It moves the shape from one point to another on a plane.
Reflection:
It is an operation that results in the mirror image of the original shape.
Scaling:
The shape is transformed by changing the size without changing its orientation.
Transformation on \(8d\):
In the given problem, the transformation of \(8d\) can be applied to the figure with or without overlap.
This means that \(8d\) transformation doesn't depend on the shape of the figure if it has an overlap or not.
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