Answer:
2.82
Step-by-step explanation:
I tried my best so im sorry if it isnt correct
x4-5x2-24=0
(x2+3) (x2-8)=0
x2 +3=0
x= 2.82
what is the gradient of the line below?
please help giving brainliest
Answer: Gradient = -3
Step-by-step explanation:
According to the figure, we compose the equation of a straight line:
(0;6) ((2;0) y=bx+k b=?
Equation of a straight line
\(\displaystyle\\\boxed {\frac{x-x_1}{x_2-x_1} =\frac{y-y_1}{y_2-y_1} }\)
\(\displaystyle\\\frac{x-0}{2-0}=\frac{y-6}{0-6} \\\frac{x}{2}=\frac{y-6}{-6} \\\)
Multiply both sides of the equation by -6:
\(-3x=y-6\\-3x+6=y\\y=-3x+6.\\So, \\Gradient\ \phi(x)=\frac{\partial y}{\partial x} \\\phi(x)=(-3x+6)'\\\phi(x)=-3.\)
Answer:
gradient = - 3
Step-by-step explanation:
calculate the gradient (slope) m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
m = \(\frac{0-6}{2-0}\) = \(\frac{-6}{2}\) = - 3
Please help me with this problem! DUE TONIGHT!
Answer:
b=v
Step-by-step explanation:
Answer:
I got b=v so it would be 0
Step-by-step explanation:
I'm sorry if I'm wrong
Subtract 2y - 3 from 8y-2.
Answer:
2(3y-2)
Step-by-step explanation:
Collect like terms
6y-4
Simple terms
2(3y-2)
What is the positive solution of x2 – 36 = 5x?
Answer:
Required positive solution of the given quadratic equation is 9.
Step-by-step explanation:
Given Equation,
x² - 36 = 5x
We need to find positive solution of the given equation.
We solve the given quadratic equation using middle term split method.
x² - 36 = 5x
x² - 5x - 36 = 0
x² - 9x + 4x - 36 = 0
x( x - 9 ) + 4( x - 9 ) = 0
( x - 9 )( x + 4 ) = 0
x - 9 = 0 and x + 4 = 0
x = 9 and x = -4
Therefore, Required positive solution of the given quadratic equation is 9.
7x=2 what does x equal
HELP ILL POINT LOT OF POINTS ✅✅✅
Question: 1-12
The United States participates in a number of international organizations. Which would be most likely to respond to a worldwide outbreak of a disease?
-International Chamber of Commerce
-O North Atlantic Treaty Organization
-International Labour Organization
o
-United Nations
11
Answer:
O North Atlantic Treaty Organization
Step-by-step explanation:
if two erminette chickens were crossed, what is the probability that: a. they would have a black chick?
Probability of two black Erminette chickens crossed is equal to 1/4.
As given in the question,
Erminette chickens are basically a chicken with a gene of black and white feathers.
There are two groups of chicken black feather chicken and white feather chicken.
All possible outcomes when Erminette chicken crossed each other are:
= { BB , BW, WB, WW}
Total number of outcomes are = 4
Favourable outcomes are ={ BB }
Number of favourable outcomes = 1
Probability of two black Erminette chickens crossed each other
= ( Favourable outcomes) / ( Total number of outcomes )
= 1 / 4
Therefore, probability of two black Erminette chickens crossed each other with the given condition is equal to 1/ 4.
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On Tuesday the cafeteria sold pizza slices and burritos. The number of pizza slices sold was 20 less than twice the
number of burritos sold. Pizza sold for $2.50 a slice and burritos sold for $3.00 each. The cafeteria collected a total of
$358 for selling these two items. Homework Help
a. Write two equations with two variables to represent the information in this problem. Be sure to define your
variables by writing let statements.
b. Solve your system from part (a). Then determine how many pizza slices were sold.
Answer:
82
Yes, that is the answer. Try it and you'll get it correct, I think...
The measures of two angles of a triangle are 25° and 87°. Is the triangle acute, right, or obtuse? Explain.
A.
Acute; the measure of the third angle is 68°. So all three angles are acute.
B.
Acute; the measure of the third angle is 78°. So all three angles are acute.
C.
Obtuse; 25° + 87° = 112° and 112° is an obtuse angle.
D.
Right; 25° + 87° = 112° and 202°
−
-
112° = 90°.
Obtuse; 25° + 87° = 112° and 112° is an obtuse angle is the correct answer.
What is triangle?Triangle is a three-sided polygon with three angles. All the sides of a triangle are connected, forming a closed shape. Triangles come in many different shapes and sizes. The most common type of triangle is an equilateral triangle, which has three equal sides and three equal angles. Other types of triangles include isosceles, scalene, obtuse, and right triangles. Triangles are used in many different fields, including architecture, engineering, and mathematics.
The triangle is obtuse because 25° + 87° = 112° and 112° is an obtuse angle. An obtuse triangle is one in which one angle has a measure greater than 90°.
The remaining two angles are acute, meaning they measure less than 90°.
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shocks occur to a system according to a poisson process of intensity lambda. each shocks causes some damage. what type of process could model the damage up to time t? assume the system continues to operate as long as the total damage is strictly less than some critical value and fails otherwise.
If the total damage remains strictly below the critical value, the system will continue to operate. Otherwise, the system will fail.
A suitable process to model the damage up to time t caused by shocks in a system following a Poisson process of intensity lambda would be a Compound Poisson Process.
A Compound Poisson Process is a stochastic process that models the cumulative effect of multiple independent and identically distributed random events. In this case, the events are the shocks, and the effect is the damage caused by each shock. The process is defined as the sum of the damages up to time t, where the number of shocks follows a Poisson process with intensity lambda, and the damage caused by each shock is a random variable with a known distribution.This process is suitable for modeling the system's damage because it accounts for the random nature of both the number of shocks and the damage caused by each shock. It can also help assess the probability of system failure at any given time.To evaluate the risk of failure, one can compare the total damage from the Compound Poisson Process with the critical value. By analyzing the behavior of the Compound Poisson Process, you can make informed decisions on system maintenance, risk mitigation, and overall system reliability.Know more about the critical value
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In the figure there are 5 equal rectangles and each of its sides is marked with a number as indicated in the drawing. Rectangles are placed without rotating or flipping in positions I, II, III, IV, and V in such a way that the sides that stick together in two rectangles have the same number. Which of the rectangles should go in position I?
The rectangle which should go in position I is rectangle A.
We are given that;
The rectangles A,B,C and D with numbers
Now,
To take the same the number of side
If we take A on 1 place
F will be on second place
And B will be on 4th place
Therefore, by algebra the answer will be rectangle A.
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What is 16 divided by 132.16
find the value of given expression
\( \sqrt{369 \times 369} \)
Answer:
√{369×369}=√369²=369 is your answer
Answer:
your answer will be 369
Step-by-step explanation:
......
AWNSER CORRECTLY! 50 POINTs
Answer:
y = x+4
Step-by-step explanation:
Using the y=mx+b format, we can define the slope as 1...
1) y=1x+b or y=x+b
The y-intercept ( aka b )
2) y=x+4
Answer provided by Education Point
Answer:
\(\text{y = x + 4}\)
Step-by-step explanation:
\(\text{Slope intercept form:}\) \(\text{y = (m)x + (b)}\) \(\text{[m = Slope; b = y-intercept]}\)
To find the equation of the line, substitute the slope and the y-intercept in the slope intercept form formula.
\(\rightarrow \text{y = (m)x + (b)}\)
\(\rightarrow \text{y = (1)x + (4)}\) \(\text{[m = 1; b = 4]}\)
\(\rightarrow\boxed{\bold{\text{y = x + 4}}}\)
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https://brainly.com/question/20786109Select all that apply. If r is < 0, then lambda must be:
A) Less than 0
B) Less than 1
C) Greater than 1
D) Greater than 0
E) Equal to 0
F) Equal to 1
If r is < 0, then lambda must be: Less than 0, Less than 1, Greater than 1 and Greater than 0. The correct answers are: A), B), C), and D).
Recall that the exponential growth or decay model is given by the function:
\(y = y0 * e^(rt)\)
where y0 is the initial value of the function, r is the rate of change (growth or decay), t is the time, and e is the mathematical constant approximately equal to 2.71828.
If r < 0, then the function represents exponential decay, and we have:
\(y = y0 * e^(rt)\)
y/y0 = e^(rt)
Taking the natural logarithm of both sides, we get:
ln(y/y0) = rt
r = (1/t) * ln(y/y0)
Since ln(y/y0) is the natural logarithm of a ratio, it can take any real value. Therefore, r can take any negative value, and there is no restriction on the value of lambda (which is\(e^r\)).
So, the correct answers are: A), B), C), and D).
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solve for x.
2x°
24°
Answer: x = 33°
Step-by-step explanation: 2x° + 24°-24 = 90°-24 2x/2 = 66/2 x = 33°
I need help with this plz
Answer:
c
Step-by-step explanation:
7/10
I can evaluate an algebraic expression for given values using the order of operations.
2. Evaluate x^2 + yz for x = 7, y = 5, and z = 3.
The value of the expression for x² + yz when x = 7, y = 5, and z = 3 is 64.
How to calculate the expression?It should be noted that from the information, we are to evaluate x² + yz for x = 7, y = 5, and z = 3.
This will be illustrated as:
= x² + yz
= 7² + (5 × 3)
= 49 + 15
= 64
Therefore, the value of the expression for x² + yz when x = 7, y = 5, and z = 3 is 64.
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Please help me with this difficult question i will mark taht guy as brainliest please request
Let's consider an example with hypothetical data for two crops, Wheat and Rice, obtained from five farmers:
| Farmer | Rabi Crop (tons/ha) | Kharif Crop (tons/ha) |
|--------|--------------------|----------------------|
| F1 | 4.5 | 6.2 |
| F2 | 3.8 | 5.5 |
| F3 | 4.2 | 6.0 |
| F4 | 5.1 | 7.3 |
| F5 | 4.9 | 6.5 |
```
To calculate the selling price and profit, you would need additional information such as the selling price per ton for each crop and the cost of production. Let's assume the selling price for Wheat is $200 per ton and for Rice is $250 per ton. We will also assume a production cost of $150 per ton for both crops.
To calculate the profit for each farmer, you can use the following formula:
Profit = (Selling Price - Production Cost) * Production
For example, let's calculate the profit for Farmer F1 with the given data:
Profit for Wheat = (200 - 150) * 4.5 = $225
Profit for Rice = (250 - 150) * 6.2 = $620
Repeat this calculation for each farmer and crop combination to obtain the profits for all.
Once you have the data for production, selling price, and profit, you can create a double bar graph to compare the production of Wheat and Rice in the farmers' fields. The x-axis will represent the farmers, and the y-axis will represent the production (tons/ha). Each farmer will have two bars, one for Wheat and one for Rice, showing the respective production amounts.
Please note that the actual selling price, production costs, and profits may vary based on various factors, and you would need specific data and current market information to calculate accurate values.
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Someone please tell me if my answers are correct or not. I guessed on the question about range, so i'm not sure if that is correct. Please explain how you got the range
Answer:
Asymptote: y=4
Y-intercept: (0,3)
Domain: All real numbers
Range: y<4
Step-by-step explanation:
The asymptote is the y-value that the line is always coming closer to, but will never reach
The range is all numbers either above or below the asymptote, in this case below
You are correct on the domain and y-intercept
write the equation in spherical coordinates. (a) x2 + y2 + z2 = 25
The equation in spherical coordinates is ρ = 5. This equation represents a sphere centered at the origin with a radius of 5 units in the ρ direction.
To write the equation \(x^2 + y^2 + z^2 = 25\) in spherical coordinates, we need to express x, y, and z in terms of the spherical coordinates (ρ, θ, φ).
In spherical coordinates, ρ represents the distance from the origin to the point, θ represents the azimuthal angle measured from the positive x-axis in the xy-plane, and φ represents the polar angle measured from the positive z-axis.
To transform the Cartesian coordinates (x, y, z) to spherical coordinates, we can use the following equations:
x = ρ sin(φ) cos(θ)
y = ρ sin(φ) sin(θ)
z = ρ cos(φ)
Now let's substitute these equations into the given equation:
\((x^2) + (y^2) + (z^2) = 25\)
(ρ sin(φ) cos(θ))² + (ρ sin(φ) sin(θ))² + (ρ cos(φ))² = 25
ρ² (sin²(φ) cos²(θ) + sin²(φ) sin²(θ) + cos²(φ)) = 25
ρ² (sin²(φ) (cos²(θ) + sin²(θ)) + cos²(φ)) = 25
ρ²(sin²(φ) + cos²(φ)) = 25
ρ²= 25
This simplifies to:
ρ = 5
Therefore, the equation in spherical coordinates is ρ = 5. This equation represents a sphere centered at the origin with a radius of 5 units in the ρ direction.
In spherical coordinates, the equation ρ = 5 describes all points that are at a distance of 5 units from the origin, regardless of the values of θ and φ.
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How many triangles does it make
21-7x/x+3/x^2-3x/2x+3
The given expression is\((21 - 7x) / (x + 3) / (x^2 - 3x) / (2x + 3)\). To simplify the expression, we need to apply the rules of fraction division and simplify each fraction individually.
To simplify the given expression, we start by dividing the fractions. Division of fractions is performed by multiplying the first fraction by the reciprocal of the second fraction.
The expression can be rewritten as\((21 - 7x) / (x + 3) * (2x + 3) / (x^2 - 3x).\)Next, we can simplify each fraction separately.
In the numerator, we can multiply out the terms: \((21 - 7x) * (2x + 3) = 42x + 63 - 14x^2 - 21x.\)
In the denominator, we can factor out an \(x: x^2 - 3x = x(x - 3).\)
Putting it all together, the simplified expression becomes \((42x + 63 - 14x^2 - 21x) / [(x + 3) * x(x - 3)].\\\)
Further simplification may be possible depending on specific factors and terms present in the expression, but without additional information or specific values for x, we cannot simplify the expression any further.
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A square garden has sides of length 10 ft. If topsoil costs $5 / cubic foot, how much will it cost to put a 0. 5 ft layer of topsoil on the entire garden?
Cost to put a 0. 5 ft layer of topsoil on the entire garden is $1000.
The quantity of square units required to completely fill a square is known as the area of a square. The region that lies inside the confines of a flat item or a two-dimensional figure is generally referred to as the area. Measurements are made in square units, with square meters serving as the reference unit
Area of a Square = Side × Side.
Therefore, the area of square = Side square units.
Side of a square garden= 10 ft.
Area of a square garden= Side × Side= 10 × 10 =100 square ft.
Cost of the whole garden = 100×$5 =$500
Cost to put a 0. 5 ft layer of topsoil on the entire garden =$500/0.5
=$1000
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The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000
According to the given statement
we have given that the
side length of the square garden is 10ft.
topsoil cost per foot is $5
And we have to find the cost which required to put a 0. 5 ft layer of topsoil on the entire garden.
So,
The side length of the square garden is 10ft.
Now, the volume of the cube is (a)^2
And
Total volume of cube = 10*10
Total volume of cube = 100 per square foot.
Now, we find the cost required for a topsoil.
Cost required to put a topsoil of 1 foot in the total volume of cube = volume*cost
So,
Cost required to put a topsoil of 1 foot in the total volume of cube = 1000*5
Cost required to put a topsoil of 1 foot in the total volume of cube = $5000
if we put a topsoil of 0.5 feet then
The cost required = $5000/0.5
The cost required = $1000.
So, The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000
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assume that T is a linear transformation. Find the standard matrix of T. 1. T:R? → R4,7(ei) = (3,1,3,1) and T (ez) = (-5,2,0,0), where ej = (1,0) and e2 = (0,1). 2. T:R3 → R2, T(ei) = (1,3), T(C2) = (4, -7), and T(ez) = (-5,4), where ej, ez, ez are the columns of the 3 x 3 identity matrix. ro: 3. T:R2 + R2 rotates points (about the origin) through 31/2 radians (counterclockwise). 4. T:R2 → R2 rotates points (about the origin) through --1/4 radians (clockwise). [Hint: T(ei) = (1/12, -1/72).] 5. T:R2 + R2 is a vertical shear transformation that maps e, into e, - 2e, but leaves the vector ez unchanged. 6. T:R2 + R2 is a horizontal shear transformation that leaves e, unchanged and maps e2 into e2 + 3ej.
The standard matrix of a linear transformation T can be found by using the formula A = [T(e1) T(e2) ... T(en)], where A is the standard matrix, e1, e2, ..., en are the columns of the identity matrix, and T(e1), T(e2), ..., T(en) are the images of the identity matrix columns under the transformation T.
1. For the first transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [(3,1,3,1) (-5,2,0,0)] = [[3 -5] [1 2] [3 0] [1 0]]. Therefore, the standard matrix of T is [[3 -5] [1 2] [3 0] [1 0]].
2. For the second transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2) T(e3)] = [(1,3) (4,-7) (-5,4)] = [[1 4 -5] [3 -7 4]]. Therefore, the standard matrix of T is [[1 4 -5] [3 -7 4]].
3. For the third transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [cos(31/2) -sin(31/2) sin(31/2) cos(31/2)], where cos(31/2) and sin(31/2) are the cosine and sine of 31/2 radians, respectively. Therefore, the standard matrix of T is [cos(31/2) -sin(31/2) sin(31/2) cos(31/2)].
4. For the fourth transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [cos(-1/4) -sin(-1/4) sin(-1/4) cos(-1/4)], where cos(-1/4) and sin(-1/4) are the cosine and sine of -1/4 radians, respectively. Therefore, the standard matrix of T is [cos(-1/4) -sin(-1/4) sin(-1/4) cos(-1/4)].
5. For the fifth transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [(1,0) (2,1)] = [[1 2] [0 1]]. Therefore, the standard matrix of T is [[1 2] [0 1]].
6. For the sixth transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [(1,0) (3,1)] = [[1 3] [0 1]]. Therefore, the standard matrix of T is [[1 3] [0 1]].
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wats the answer to this
The side of a triangle would be x = 7.
What are the properties of similar triangle?Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares οf any side lengths are examples οf similar οbjects.
In οther wοrds, if twο triangles are similar, then their cοrrespοnding angles are cοngruent and cοrrespοnding sides are in equal prοpοrtiοn. We denοte the similarity οf triangles here by ‘~’ symbοl.
What characteristics do similar triangles have. Property 1: Two triangles are comparable if their corresponding sides are within the same ratio and their corresponding angles are equal (or proportion).
Using similar triangle properties,
\(\frac{4}{x} =\frac{7}{10.5}\\\\4*10.5=7x\\\\42=7x\\\\x=7\)
Therefore, The side of a triangle would be 7.
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Which is the most accurate way to describe a vector field F on R3? (a) A function F from R to R3 (b) A function F from R3 to R. (c) A function F from R3 to R3 (d) None of the other choices
The most accurate way to describe a vector field F on R3 is (c) a function F from R3 to R3
A vector field is best described as a function F from R3 to R3. In other words, at each point (x, y, z) in 3D space, the vector field assigns a vector (F1(x, y, z), F2(x, y, z), F3(x, y, z)). The vector field can be visualized by drawing arrows or streamlines to represent the direction and magnitude of the vector at each point in space. A vector field assigns a vector to each point in space, so it requires a function that maps from R3 (a point in space) to another vector in R3.
The vector field is useful in physics, engineering, and mathematics for modeling various physical phenomena, such as fluid flow, electromagnetic fields, and gravitational fields.
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What is the solution to this system?
y = x
3x - 2y = 3
Answer:
(3, 3 )
Step-by-step explanation:
y = x → (1)
3x - 2y = 3 → (2)
substitute y = x into (2)
3x - 2x = 3
x = 3
substitute x = 3 into (1)
y = 3
solution is (3, 3 )
A shopper purchased 8 T-Shirts and 5 pairs pants for $220. The next day, he purchased 5 T-shirts and 1 pair of pants for $112. How much does each T-shirt and each pair of pants cost?
Answer:
the each T-shirt and each pair of pants cost is $20 and $12 respectively
Step-by-step explanation:
The computation of the each T-shirt and each pair of pant cost is shown below:
Let us assume each T-shirt be x
And, the each pair of pant be y
Now the equations are
8x + 5y = $220
5x + y = $112
It could be write as
y = $112 - 5x
Now put the value of y in equation 1
8x + 5($112 - 5x) = $220
8x + $560 - $25x = $220
-17x = -$340
x = 20
And, y = $112 - 5(20)
= $112 - $100
= 12
Hence, the each T-shirt and each pair of pants cost is $20 and $12 respectively
(02.01)
Solve −2(2x + 5) − 3 = −3(x − 1). (1 point)
16
−16
−10
−13
Answer:
-16
Step-by-step explanation: