you have $40 to spend on n gallons of gas that costs $3.25 per gallon. ​

The unit vector that has the same direction as the vector v = 17i - 2j is 17/29i - 2/29j.

A unit vector is a vector with a magnitude of 1. To find a unit vector in the same direction as a given vector, we divide the given vector by its magnitude. In this case, the magnitude of v = 17i - 2j is √(17^2 + (-2)^2) = √289 = 17. Therefore, the unit vector in the same direction as v is v/|v| = (17i - 2j)/17 = 17/29i - 2/29j.

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By applying the reflection rule across the x-axis to quadrilateral DEFG, we obtain the following true statements:

In Geometry, the x-axis would remain the same if a quadrilateral is reflected across the x-axis and the sign on the y-axis would change either from positive to negative and vice-versa.

By applying the reflection rule across the x-axis (x, y) → (x, -y), we obtain the following true statements:

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Answer:

A

B

C

Are the right answer

Step-by-step explanation:

the quotient of the division operation is 2x² + 10x - 5. This can be solved using the concept of synthetic division.

The term "synthetic division" refers to a streamlined method of dividing a polynomial with another polynomial equation of degree 1, which is typically used to find the zeroes of polynomials. This division method is carried out manually and requires less calculation effort than the long division method.

The equation (2x³+4x²-35x+15) divided by (x-3).

To find the division to solve the given equation following all the steps given below.

Step 1: Divide 2x³ by x, we obtain a quotient value of 2x²; multiply the quotient value by the divisor and Subtract to obtain a dividend of 10x² - 35x + 15.

Step 2: Divide 10x² by x, we obtain a quotient value of 10x; multiply the quotient value by the divisor and Subtract to obtain a dividend of - 5x + 15

Step 3: Divide - 5x by x, we obtain a quotient value of - 5; multiply the quotient value by the divisor and add to obtain 0.

Hence, the quotient of the division operation is 2x² + 10x - 5.

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Answer:

He will have to shovel at least 11 driveways

Step-by-step explanation:

He gets 7$ for each drive way, so if he shovels 10, 10 x 7= 70$, But he still needs 5 more dollars, so he will need to shovel an extra driveway so that he can get 75$ he will have 2$ extra

The area of the composite figure is 40 cm².

Option B is the correct answer.

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

The composite figure contains:

Two triangles and a rectangle.

Triangle.

Base = 8 cm

Height = 2 cm

Area = 1/2 x 8 x 2

Area = 8 cm²

Rectangle.

Length = 8 cm

Width = 4 cm

Area = 8 x 4

Area = 32 cm²

Now,

Area of the composite figure.

= 8 + 32

= 40 cm²

Thus,

The area of the composite figure is 40 cm².

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Answer:

multiply that what my teacher said do

Step-by-step explanation:

In calculus, 0^0 is an indeterminate form. It is not equal to infinity. But 0x0 is equal to zero.

Some of the indeterminate forms 0/0, 0×∞,∞/∞, ∞ −∞, ∞/0, \(0^{0}\).

An unknown value is referred to as being "indeterminate." Even after inserting the limits, we are still unable to determine the original value, according to the indeterminate form of mathematics. When two functions are considered as a ratio, the indeterminate form frequently appears when both functions go closer to 0 in the limit. The term "indeterminate form 0/0" refers to these circumstances. The indeterminate form can also be created, much as addition, subtraction, multiplication, and exponential operations. If the limiting behavioral of separate components of the provided expression cannot identify the overall limit, a limit is said to be indeterminate.

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Answer:

3

Step-by-step explanation:

it's three because ur trying to find the median so if u put it together it will be -18,-13,-6,-6,3,4,11,13,20 and to find whats between those numbers it will be 3

Answer:

(0, 9)

Step-by-step explanation:

The y-intercept is the point when x = 0. By looking at the graph, when x = 0, y = 9. Therefore, the y-intercept of the line is (0, 9).

The other 28% represents the energy loss or inefficiency of the blender.

This means that only 72% of the input energy is effectively converted into useful work, while the remaining 28% is dissipated in the form of heat or other forms of energy loss. This energy loss is typically attributed to factors such as mechanical friction, heat generation, and

It could be due to factors such as friction, heat generation, or mechanical losses within the blender's components. This energy is not effectively converted into the desired blending action and is instead lost as waste.

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The completely simplified expression is( 7n 14)/( 6η).    

To simplify the expression( n 2)/( 6η/ 7),

we can start by dividing the numerator by the denominator. This is original to multiplying the numerator by the complementary of the denominator  n 2) *( 7/ 6η)

Next, we can distribute the( 7/ 6η) to both terms in the numerator ( n)/( 6η) 7( 2)/( 6η)

This simplifies to  7n/( 6η) 14/( 6η)

Now, since the two terms in the numerator have a common denominator, we can combine them ( 7n 14)/( 6η).

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Answer:

2,4,5

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

Equation that relates D = 0.5 + 20x + 0.5v

Initial distance covered d1 = 0.5km

If she rode a bicycle for x hours at an average speed of 20 kilometers per hour, then her distance during this period is:

Speed = Distance/Time

Speed is defined as the rate that an object travels through space; it is the distance traveled in a certain amount of time. A familiar example from our daily lives can be seen when we drive to work or school. Our speed is measured by how fast or slowly we drive. Our car is said to have a speed of 60 miles per hour (mph) if it will travel a distance of 60 miles in exactly 1 hour.

Distance d2 = speed × time

d2 = 20x

If she ran for 0.5 hour at an average speed of v kilometers per hour, her distance this time will be;

Distance d3 = 0.5v

If her total distance is D, then;

D = d1+d2+d3

D = 0.5 + 20x + 0.5v

Hence an equation that relates D, x, and v is D = 0.5 + 20x + 0.5v

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Answer:

see below

Step-by-step explanation:

A

Add the students who passed french, german, both

add 17+19+11 = 47

Subtract this from 55 to get b

b = 55-47 =8

b =8

B

P( passed french and german)

    = number that passed french and german / total

    = 19/55

P( french or german) =

  = number that passed french or german / total

    = (17+11)/55 =28/55

Answer:

1- cos x = 2sin^2 x/2

Step-by-step explanation:

we know that cos 2x=cos^2 x-sin^2 x

cos 2x=(1-sin^2 x)-sin^2 x

cos 2x=1–2sin^2 x

by this;

1- cos 2x = 2sin^2 x

putting x=x/2;we get ,

1- cos x = 2sin^2 x/2

and this is the formula of 1-cos x

The polygon which on rotated gives the given cylinder is a rectangle with dimensions 10 inches × 9 inches.

Given a cylinder with the diameter of the base 18 inches and the height of the cylinder 10 inches.

This cylinder is formed by rotating some polygon around YZ.

The polygon must be a rectangle which has the height or the length equal to the height of the cylinder.

So length = 10 inches

The width of the rectangle will be half of the diameter.

Width = 18/2 = 9 inches

Hence the rotated polygon is a rectangle with length 10 inches and width 9 inches.

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The point reactor kinetics equations describe the rate of change of neutron population and the concentrations of delayed neutron precursors in a nuclear reactor.

The point reactor kinetics equations describe the behavior of a nuclear reactor. These equations are used to model the rate of change of neutron population (dn/dt) and the rate of change of concentrations of various delayed neutron precursors (dCᵢ/dt) over time.

In the first equation, dn/dt represents the rate of change of neutron population, which is influenced by the reactivity (rho₀) - the difference between the actual and critical reactivity, the delayed neutron fraction (β/Δ), and the sum (∑) of the decay constants (λᵢ) multiplied by the concentrations (Cᵢ) of delayed neutron precursors.

In the second equation, dCᵢ/dt represents the rate of change of concentration for each delayed neutron precursor (Cᵢ). This is influenced by the production rate of the precursor (βᵢ/Δ) multiplied by the neutron population, and the decay rate of the precursor (λᵢ) multiplied by its concentration.

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Answer:

764

Step-by-step explanation:

12x22=264+500=764

hope this helps

The average of the squared distances of the data values from the mean is known as the variance.

Variance is a statistical measure that quantifies the spread or dispersion of a dataset. It is calculated by taking the mean of the squared differences between each data point and the mean of the dataset. By squaring the differences, the negative values are eliminated, and the distances from the mean are emphasized. The resulting variance value provides insights into how closely the data points are clustered around the mean. A larger variance indicates a wider spread of data points, while a smaller variance suggests a more concentrated distribution. Variance is commonly used in various fields, including finance, physics, and social sciences, to analyze and compare datasets.

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Answer:

30

Step-by-step explanation:

The general solution is `y(x) = x² + 1/exp(x²/2)` for given that the general solution of the following Riccati-equation with

as the initial guess.

Let `y=x²+z(x)`

Then `y' = 2x + z'(x)`

Substituting these into the Riccati equation yields

x³ * (2x+z'(x))+x² * (x²+z(x)) = (x²+z(x))²+ 2x⁴`

By expanding and grouping the terms, the equation above can be simplified into a second-order linear differential equation with constant coefficients.

Its general solution will take the form of `y(x) = x^2 + z(x)`

where `z(x)` is the solution to the differential equation that satisfies the initial condition.  

To find the solution to the Riccati equation, apply the following steps:

Step 1: Rewrite the equation into a linear formTo achieve this,

let `y(x) = x² + 1/u(x)`

Thus, `y'(x) = 2x - u'(x)/u²(x)` and

`y^2(x) = x⁴ + 2x²/u(x) + 1/u²(x)`

Substituting these values into the equation results in

x³(2x - u'(x)/u²(x)) + x²(x² + 1/u(x)) = x⁴ + 2x²/u(x) + 1/u²(x) + 2x⁴

Rearranging yields

u'(x) - 2xu²(x) - u³(x) = 0

This is a second-order linear differential equation that can be solved using an integrating factor.

Thus, multiply both sides of the equation by `

exp(integral(-2x dx))` which will give

(u²(x)*exp(-x²))' = 0`

Integrating yields `u²(x)*exp(-x²) = c₁`w

here `c₁` is the constant of integration.

Therefore, `u(x) = +- sqrt(c₁*exp(x²))`

Step 2: Apply the initial condition

Let `y(1) = 2`

Then, `1 + 1/u(1) = 2

=> u(1) = 1`

Using this value of `c₁`, we can find `u(x)` and the general solution

`u(x) = sqrt(exp(x²))

       = exp(x²/2)`

Thus, the general solution is `y(x) = x² + 1/exp(x²/2)`

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The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

Answer:

given:

principal [P]=8000

rate[r]=15%

population after t years=?

we have

population after t years=P(1+r/100)^t=8000(1+15/100)^t is your answer

The distance along the unit circle between any two successive 8th roots of 1 is c) π/4.

To find the distance along the unit circle between any two successive 8th roots of 1, we can consider the concept of angular displacement.

Each 8th root of 1 represents a point on the unit circle that is evenly spaced by an angle of 2π/8 = π/4 radians.

Starting from the point corresponding to 1 on the unit circle, we can move π/4 radians to reach the first 8th root of 1. Moving π/4 radians further will bring us to the second 8th root of 1, and so on.

Since we are moving by π/4 radians for each successive 8th root of 1, the distance between any two successive 8th roots of 1 is π/4 radians.

Therefore, the correct answer is option c. π/4.

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Answer:

A. V=4 pi r^2 because it is a complete sphere

Answer:

1

Step-by-step explanation:

pls mark brainliest

answer:

attach a picture so that we can answer your question. we need to see 1.