David is writing an explicit function for the arithmetic sequence: 10, 13, 16, 19, 10,13,16,19,…10,, 13,, 16, , 19, , He comes up with s(n)=7+3ns(n)=7+3ns, left parenthesis, n, right parenthesis, equals, 7, plus, 3, n. What domain should David use for sss so it generates the sequence?

Answer:

,4 feet is the height of the tree

Answer:

Step-by-step explanation:

Answer & Step-by-step explanation:

In this problem, we are given two functions.

s(x) = 2x + 1

r(x) = -x² + 3x

We are asked to find the difference between s(x) and r(x).

(2x + 1) - (-x² + 3x)

Distribute the negative to the second parentheses.

2x + 1 + x² - 3x

Combine like terms and put the equation in standard form. This means the exponents should be in descending order.

x² - x + 1

So, (s - r)(x) equals x² - x + 1

Answer:

(2x-1) - (-x^2 +3x)

THEN

x^2  - x + 1

Step-by-step explanation:

Since youre subtracting r from s...

s(x) = 2x + 1

r(x) = -x^2 + 3x

you subtract the two to get an equation for the first step.

(s-r)(x) = (2x+1) - (-x^2 +3x)

for the next step, you're simplifying...

distribute the minus: (2x+1) + x^2 - 3x

combine like terms: x^2 + 1 - 1x

which gives you the answer of...

x^2  - x + 1

Hope this helps!!

Answer:

300

Step-by-step explanation:

Answer:

its between c or b

Step-by-step explanation:

I've done this test before

Answer:

B

Step-by-step explanation:

The solutions to the given equation on the interval 0≤x<2π. −8sin(5x)=−4√ 3 The solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π are:

x = π/3 and x = 2π/3.

To find the solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π, we can start by isolating the sine term.

Dividing both sides of the equation by -8, we have:

sin(5x) = √3/2

Now, we can find the angles whose sine is √3/2. These angles correspond to the angles in the unit circle where the y-coordinate is √3/2.

Using the special angles of the unit circle, we find that the solutions are:

x = π/3 + 2πn

x = 2π/3 + 2πn

where n is an integer.

Since we are given the interval 0 ≤ x < 2π, we need to check which of these solutions fall within that interval.

For n = 0:

x = π/3

For n = 1:

x = 2π/3

Both solutions, π/3 and 2π/3, fall within the interval 0 ≤ x < 2π.

Therefore, the solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π are:

x = π/3 and x = 2π/3.

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The boundary line of the inequality y < (1/3)x + 1 is the equation y = (1/3)x + 1 with a dashed line because the inequality does not include the line itself.

To graph this line, we can start by plotting the y-intercept, which is the point (0, 1). From there, we can use the slope of 1/3 to find additional points on the line. For example, if we move 3 units to the right (increasing x by 3), we move up 1 unit (increasing y by 1), so we can plot the point (3, 2). Similarly, if we move 3 units to the left (decreasing x by 3), we move down 1 unit (decreasing y by 1), so we can plot the point (-3, 0).

Using these points, we can draw a dashed line through them to represent the boundary line of the inequality:

      |

   3  |         *

       |      *    

   2  |   *

       |*      

   1  |  

       |

   0  | *    

       |

       ---------------

          -3   0   3   6   x

The correct graph showing the boundary line of y < (1/3)x + 1 is the one with a dashed line passing through the points (0, 1), (3, 2), and (-3, 0), as shown above.

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Answer:

The answer to this question is D.

Step-by-step explanation:

Congruent angles are the same

5x-24=9x-17

-4x=-41

x=10.25

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

The 45th term of the sequence is 267.

The 45th term of a sequence can be calculated using the formula:

Tn = a + (n – 1)d

Where,

Tn = the nth term

a = the first term

n = the term position

d = the common difference

In this sequence, the first term is 3, the common difference is 6, and the term position is 45.

Therefore, the 45th term of the sequence is:

T45 = 3 + (45 – 1)6

T45 = 3 + (44)6

T45 = 3 + 264

T45 = 267

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Answer:

a) 2.5 x 10^5

b) 8.1 x 10^4

c) 9.06 x 10^8

d) 1.034 x 10^10

Answer:

equal to rolling an odd number

Step-by-step explanation:

fair number cube is your average 6 side die

even numbers = 2,4,6

odd numbers = 1,3,5

total sides=6

even number probability = 3/6

odd number probability = 3/6

Answer:

y = 15

Step-by-step explanation:

this is an equilateral (therefore also equiangular) triangle

also known as a 60-60-60° triangle

each angle is 60° so you can set up this equation to solve for 'y'

5y - 15 = 60

5y = 75

y = 15

Answer:

first you are going to multiply them 4 1/4 and 1 1/2

\(4 \frac{1}{4} x 1\frac{1}{2}\) = 4 1/8

You are multiplying straight across so 1 x 4 = 4 the whole number stays the same then 1 x 1 = 1 so the numerator stays the same. 4 x 2 = 8 so change the denominator to 8 so you'll have 4 1/8.

Your answer will be A.

The total surface area of the triangular pyramid is: 381 yd²

To find the surface area of the pyramid, we have to find all the surface area of the surfaces and add them together.

Area of base = 11 * 9

Area = 99 yd²

Area of 2 big triangles is:

A = 2(¹/₂ * 11 * 15)

A = 165 yd²

Area of two small triangles is:

A = 2(¹/₂ * 9 * 13)

A = 117 yd²

Thus:

Total surface area = 99 + 165 + 117

Total surface area = 381 yd²

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The exact distance between the points (8, -3) and (-2, 4) can be calculated using the distance formula in mathematics.

The formula for finding the distance between two points (x1, y1) and (x2, y2) in a two-dimensional Cartesian coordinate system is given by: Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2). Using the coordinates (8, -3) and (-2, 4), we can substitute the values into the distance formula: Distance = sqrt((-2 - 8)^2 + (4 - (-3))^2) = sqrt((-10)^2 + (7)^2) = sqrt(100 + 49) = sqrt(149) ≈ 12.207

Therefore, the exact distance between the points (8, -3) and (-2, 4) is approximately 12.207 units.

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Answer:

-3

Step-by-step explanation:

3x +7 =f(x+1)

3x +7=x+1

3x-x=-7+1

2x=-6

-3

The correct answer is (d) The price must be replaced with a relative price, and the marginal values must be replaced with the corresponding Marginal Rates of Substitution.

When the value of a public good cannot be expressed in monetary terms, the Samuelson condition still holds, but some modifications are required. In this case, the per-unit price (p) used in the Samuelson condition needs to be replaced with a relative price, which represents the trade-off between the public good and other goods or services. Additionally, the marginal values (MV) of the public good need to be replaced with the Marginal Rates of Substitution (MRS), which measure the rate at which one person is willing to substitute the public good for another good.

Therefore, to determine the efficient level of the public good, the modified Samuelson condition uses a relative price and the corresponding Marginal Rates of Substitution.

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The term "standard error of the mean" refers to the sample mean's standard deviation. And the formula for the standard deviation is σ/√n.

The square root of a random variable's variance is the standard deviation of a sample, statistical population, data collection, or probability distribution. Compared to the average absolute deviation, it is algebraically easier but less reliable in practice. The standard deviation has the advantage of being represented in the same unit as the data, unlike the variance, which is a desirable characteristic.

The standard error of a statistic (such the sample mean) is related to the standard deviation of a population or sample, however they are very different. Standard deviation of the population divided by the square root of sample size yields the standard deviation of the sampling distribution of means. "Standard error of the mean" is the term for the sampling distribution's standard deviation.

The term "standard error of the mean" refers to the sample mean's standard deviation.

And the formula for the standard deviation is given by σ/√n.

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Given the two games below:  (1)       L    M         R    U   4, 2     5, 1    3, 4 D   2, 3     6, 1    2, 3 (2)       L        M         R    U   1, 3     3, 2    1, 1 D   3, 2     2, 1    2, 4 .

Find all dominating strategies in both games strategy U dominates strategy D in-game

(1). Strategy M dominates strategies L and R in the game

(2). Find all equilibrium points in both gamesGame 1 has a pure-strategy Nash equilibrium at (U, L).

Game 2 has no pure-strategy Nash equilibrium.

However, a mixed-strategy Nash equilibrium exists where player 1 randomly selects U and D with equal probability, and player 2 randomly selects M and R with probabilities 3/4 and 1/4 respectively.

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Answer: m∠IJH = m∠JHL because they are Alternate Interior Angles

Step-by-step explanation:

The simplification of number 17/0 gives the undefined form.

For the given question;

The expression is 17/0

Let us say that 17/0 = x

Its means; 17 = x ×0

17 = 0

But , 17 ≠ 0

As, given expression 17/0 can not be defined by any number.

Thus, 17/0 is an undefined term.

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There is a 45.22% chance that a randomly selected sample proportion of 100 purchases will be 0.48 or less.

To find the probability of a sample proportion of 0.48 or less if the true population proportion is 0.60, we can use the sampling distribution of the sample proportion and the z-score.

Given:

Sample size (n) = 100

Observed sample proportion ) = 0.48

True population proportion (p) = 0.60

To find the probability, we need to standardize the observed sample proportion using the z-score formula:

z = ( - p) / √(p * (1 - p) / n)

Substituting the values:

z = (0.48 - 0.60) / √(0.60 * (1 - 0.60) / 100)

= -0.12 / √(0.24 / 100)

= -0.12 / √0.0024

= -0.12 / 0.049

Using a standard normal distribution table or a statistical calculator, we can find the probability associated with the z-score.

The probability of a sample proportion of 0.48 or less, given a true population proportion of 0.60, is the probability to the left of the z-score obtained.

P ≤ 0.48) = P(z ≤ -0.12)

Using a standard normal distribution table, we find that the probability of z ≤ -0.12 is approximately 0.4522.

Therefore, the probability of a sample proportion of 0.48 or less, given a true population proportion of 0.60, is approximately 0.4522 or 45.22%.

This means that there is a 45.22% chance that a randomly selected sample proportion of 100 purchases will be 0.48 or less, if the true population proportion is 0.60.

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Answer:

250 ft

Step-by-step explanation:

circumference of a circle = πD

D = diameter

to find diameter divide by pi

d = 250

The distribution of voltage over 3 insulators are as follows:V1 = 17899.95 VV2 = 16643.44 VV3 = 15386.94 V. The string efficiency is 94.88 %.

(i) The distribution of voltage over 3 insulators can be obtained by the formula

V_1 = V - Q/3V_2 = V - 2Q/3V_3 = V - Q

Where:Q = total charge on string of insulators

V = voltage across the string of insulators

V1, V2, V3 are the voltages across the first, second and third insulators, respectively.

Here,Voltage across each insulator pin = 33 kV / 3 which is 11 kV

Capacitance between each insulator pin and earth = 11/100 * 1 / 3 * Self-capacitance of each insulator

Let the self-capacitance of each insulator be C

Then, capacitance between each insulator pin and earth, C' = 11/100 * C / 3

Total capacitance of the string,CT = 3C' = 11/100 * C

Charge on each insulator pin,Q' = V * C'

Total charge on the string of insulators,

Q = 3Q'

= 3V * 11/100 * C / 3

Therefore,

Q = 11/100 * V

CT = Q / V

Thus, we get V as 33000/1.732 = 19056.46 V

Q = 0.11 * 3 * C * V/3

= 0.11 * C * V

String efficiency = (V^2 / (V1 * V2 * V3))^1/3

Now, substituting the values we get;

V1 = V - Q/3

= 19056.46 - 0.11C*19056.46/3

V2 = V - 2Q/3

= 19056.46 - 0.11C*2*19056.46/3

V3 = V - Q = 19056.46 - 0.11C*19056.46

String efficiency = (19056.46)^2 / (V1 * V2 * V3))^1/3= 94.88 %

Now, substituting the values we get;

V1 = 19056.46 - 0.11C*19056.46/3

V2 = 19056.46 - 0.11C*2*19056.46/3

V3 = 19056.46 - 0.11C*19056.46

For example, taking C as 1 pF we get;

V1 = 17899.95 V

V2 = 16643.44 V

V3 = 15386.94 V

Thus, the distribution of voltage over 3 insulators are as follows:

V1 = 17899.95 V

V2 = 16643.44 V

V3 = 15386.94 V

(ii) String efficiency = 94.88 %.

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The linearized equation for the non-linear equation z = x² + 4xy + 6xy² in the region defined by 8 ≤ x ≤ 10, 2 ≤ y ≤ 4 is given by :

z ≈ 244 + 20(x - 8) + 128(y - 2).

When using the linearized equation to calculate the value of z at x = 8, y = 2, the error is 0.

1.1. To linearize the equation in the given region, we need to find the partial derivatives of z with respect to x and y:

∂z/∂x = 2x + 4y

∂z/∂y = 4x + 6xy

At the point (x₀, y₀) = (8, 2), we substitute these values:

∂z/∂x = 2(8) + 4(2) = 16 + 8 = 24

∂z/∂y = 4(8) + 6(8)(2) = 32 + 96 = 128

The linearized equation is given by:

z ≈ z₀ + ∂z/∂x * (x - x₀) + ∂z/∂y * (y - y₀)

Substituting the values, we get:

z ≈ z₀ + 24 * (x - 8) + 128 * (y - 2)

1.2. To find the error when using the linearized equation to calculate the value of z at x = 8, y = 2, we substitute these values:

z ≈ z₀ + 24 * (8 - 8) + 128 * (2 - 2)

= z₀

Therefore, the linearized equation gives the exact value of z at x = 8, y = 2, and the error is 0.

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Answer:

Step-by-step explanation:

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7