evaluate \(2^{x}\) for (a) x=-2 and (b) x=3. write your answer in simplest form

Answer: y=3x-3

Step-by-step explanation: Formula: y=mx+b The slope is m which is 3, rise over run, and b is the y-intercept which is -3.

Answer:

y=3x+-3

Step-by-step explanation:

the slope is 3/1 which is 3.

the y intercept is the point at which theine crosses te y axis so it's-3

y=mx+b

y=3x+-3

Given the number:

12

Let's round 12 to the nearest number.

The number 12 is nearest to 10 than it is nearer to 20.

TIf the tens

The Solow model can be applied to a programmer's skill by considering human capital as the equivalent of physical capital, with accumulation, depreciation, and technological progress affecting skill development.

The Solow model is a macroeconomic model that explains long-term economic growth. It is typically applied to analyze the growth of physical capital, such as machinery and equipment. However, in this case, we can adapt the Solow model to represent a computer programmer's skill at writing code.

In the context of a computer programmer's skill, we can consider human capital as the equivalent of physical capital in the traditional Solow model. Human capital refers to the knowledge, skills, and abilities that individuals possess and can contribute to the production process. To apply the Solow model to a programmer's skill, we can use the following components:

Inputs: In the Solow model, the main input is physical capital. In this adaptation, the input would be the programmer's human capital, which includes their existing knowledge and skills in coding.

Accumulation: The model assumes that physical capital accumulates over time through investment. Similarly, a programmer's human capital can accumulate through learning new coding languages, acquiring new skills, and gaining experience.

Depreciation: In the Solow model, physical capital depreciates over time due to wear and tear. Similarly, a programmer's human capital can depreciate if they don't actively use certain programming languages or if their skills become outdated.

Technological progress: The Solow model accounts for technological progress as a factor that increases productivity. In the case of a programmer, technological progress would involve advancements in coding languages, frameworks, tools, and methodologies that enhance their productivity and efficiency.

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We can divide the trigonometric inequality sin2(x) > cos(x) into two independent inequalities and find the answers for each separately in order to solve it over the range of 0 x 2 radians.

To find the solution to the trigonometric inequality

   sin^2(x) > cos(x):

   Let's solve this inequality first.

sin^2(x) > cos(x)

(sin(x))^2 > cos(x)

To make it easier to work with, let's substitute sin(x) with 1 - cos^2(x) using the identity sin^2(x) + cos^2(x) = 1:

(1 - cos^2(x))^2 > cos(x)

(1 - 2cos^2(x) + cos^4(x)) > cos(x)

1 - 2cos^2(x) + cos^4(x) > cos(x)

cos^4(x) - 2cos^2(x) + cos(x) - 1 < 0

Now, let's solve this polynomial inequality.

Factorizing the polynomial, we have:

(cos^2(x) - 1)(cos^2(x) - cos(x) + 1) < 0

Since its discriminant is negative, the quadratic component cos2(x) - cos(x) + 1 does not have any real roots. Therefore, (cos2(x) - 1) is the sole variable that affects the inequality.

(cos^2(x) - 1)(cos^2(x) - cos(x) + 1) < 0

(cos(x - 1)(cos(x + 1))(cos^2(x) - cos(x) + 1) < 0

To determine the intervals where the inequality holds, we analyze the signs of each factor within the domain 0 ≤ x ≤ 2π.

   cos(x - 1):

   cos(x - 1) < 0 for π/2 < x < 3π/2

   cos(x + 1):

   cos(x + 1) < 0 for -π/2 < x < π/2

   cos^2(x) - cos(x) + 1:

Due to the fact that its discriminant is negative, this quadratic component is always positive. As a result, it has little impact on inequality.

Now, we can combine the intervals where each factor is negative:

0 ≤ x ≤ π/2 ∪ 3π/2 ≤ x ≤ 2π

Thus, the solution for sin^2(x) > cos(x) over the interval 0 ≤ x ≤ 2π radians is:

0 ≤ x ≤ π/2 or 3π/2 ≤ x ≤ 2π.

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2.4

The median is the middle number.

1. Put the numbers in order from smalllest to greatest

2. Pick the middle number

Answer:  $34.32

Step-by-step explanation: We first calculate the price of the dress that was on sale. 30% of 35 is 35/10 x3. This is equal to 3.5x3 which is 7+3.5 = 10.5 We subtract this from 35 to get $24.5. So, the dress cost $24.5. Next 1/2 of 17 is 8.5. In total, the items cost $24.5+$8.5 = $33. Then, there is a 4% sales tax we have to add on to 33. 1% of 33 is 33/100 which is 0.33. This time 4 is 1.32. 33+1.32 is 34.32.

Answer:

its 750

Step-by-step explanation:

because its 804 combined and 804-54=750 and 750+54=804

750 I agree with the other person

Answer:

1.) 5,0,-3, -6,-3,0,5 (use the points for the graph and connect them together)

2.a) (0,9) He is starting at the heighest point of the ramp, its the height of where he starts walking.

b.) (10,4) The point where they both are at the same height, at the same time.

c.) (18,0) This is when he reaches to ground level or to 0 feet after a certain amount of time, 18 seconds.

The given function f, with the provided set of ordered pairs, has a domain of {10, 17, 45, 51} and a range of {-6, 1, 5}.

The domain of a function refers to the set of all possible input values or x-values for which the function is defined. In this case, the given set of ordered pairs determines the domain. Looking at the x-values in the set {10, 17, 45, 51}, these are the unique inputs for which the function f is defined. Hence, the domain of f is {10, 17, 45, 51}.
On the other hand, the range of a function refers to the set of all possible output values or y-values that the function can take. By examining the y-values in the set {-6, 1, 5}, we can observe the distinct outputs generated by the function f. Thus, the range of f is {-6, 1, 5}.
In summary, the domain of the function f is {10, 17, 45, 51}, and the range of f is {-6, 1, 5}.

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Answer:

$5.68

Step-by-step explanation:

20-14.32=5.68

If you need to round, please round accordingly.

Answer:

$5.68

Step-by-step explanation:

Answer:

negative 70 (-70)

Step-by-step explanation:

below sea level, so below zero, would be -70

Answer:

-70

Step-by-step explanation:

Its below it would be in the negatives

Answer:

7

Step-by-step explanation:

49 ÷ 7 = 7

Square root is always dividing by a whole factor :)

Answer:

It varies directly

k = \(\frac{5}{3}\)

Step-by-step explanation:

Table:

    x      y

   7       11

   8       13

   9       15

   10      17

Problem:, determine if y varies directly as x

Solution:

  The equation to determine if they vary directly is;

         y ∝  x

         y  = kx

From the table, y varies directly as x. As y increases, x also increases.

To find k, use any convenient value of y and x  ;

     y  = 15 and x  = 9;

        15 = k x 9

        k = \(\frac{15}{9}\)  = \(\frac{5}{3}\)

Answer:

No

Step-by-step explanation:

In order for a set of ordered pair to be a function all the x values need to be different. In this case we have two of the same x values so this set won't be a function.

Answer:

D. 12x³ + 32x - 8

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x³ + 8x - 2

k(x) = 4x

k(f(x)) is x = f(x)

Step 2: Find k(f(x))

Answer:

4W = 25

Step-by-step explanation:

The hanger is balanced, so each side must have the same quantity.

There are 4W on one side and 25 on the other. That means that 4W and 25 must equal each other in order to keep the hanger balanced.

Answer:

We can see on one side there is 4 w's and on the other side is a 25, because the hanger is balanced these must be equal:

We can form the equation:

4w = 25

w = 6.25

If u need anymore help understanding let me know :)

hope this helps :0

Step-by-step explanation:

There were 682 children's and 332 adults were admitted when the entrance charge to an park is $4 for adults and $1.50 for children.

Given that,

The entrance charge to an amusement park is $4 for adults and $1.50 for children. 351 persons visited the park on one particular day, and 1014 dollars in entrance fees were collected.

We have to find how many people and kids were allowed inside.

We know that,

We get equations as,

1.5x+4y=351 ----->equation(1)

The other equation is

x+y=1014 ----->equation(2)

Take the equation(2)

x+y=1014

y=1014-x

Substitute y=1014-x in equation(1)

1.5x+4y=351

1.5x+4(1014-x)=351

1.5x+2056-4x=351

1.5x-4x=351-2056

-2.5x=-1705

2.5x=1705

x=1705/2.5

x=682

Substitute x=682 in equation(2)

y=1014-x

y=1014-682

y=332

Therefore, There were 682 children's and 332 adults were admitted when the entrance charge to an amusement park is $4 for adults and $1.50 for children.

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Answer:

1/3 and 6/18 their relationship is 6

Step-by-step explanation:

I think this might be the answer but I was confused as to what it meant as well. Sry if it’s wrong :(

The bends on a track for car racing are semicircular, and the track is banked at an angle of 28.0° to the horizontal. Suppose the radius of the curvature of the bends is 120 m.

a) The formula to calculate the minimum velocity is given as follows:Vmin = √(rgtanθ)Where;Vmin is the minimum velocity needed to stay on the track;g is the acceleration due to gravity;r is the radius of the turn;θ is the angle of banking.r = 120 m, θ = 28.0°, and g = 9.8 m/s²Substitute the values into the formula, we get;Vmin = √(rgtanθ)=√(9.8 m/s² * 120 m * tan(28.0°))=40.6 m/sTherefore the minimum velocity the car should maintain is 40.6 m/sb) If the car speed is twice that in (a).

(i) The free-body diagram of the car is as shown below;

(ii) The value of the frictional force f is as follows;There are two forces acting on the car, namely; the normal force and the gravitational force. When the car moves at a constant speed around the bend, the centrifugal force Fc is also acting towards the center of the circular path. The centrifugal force Fc is given by the formula;Fc = mv²/rWhere;F c is the centrifugal force;m is the mass of the carv is the velocity of the car in m/sr is the radius of the curve.

Therefore;f = F s, max= μsNWhere;Fs, max is the maximum static frictional force that can be applied;N is the normal force acting on the car;μs is the coefficient of static friction.Because the car is not sliding, the maximum frictional force that can act is equal to the centripetal force, Fc.Thus;Fs, max = F c= 21,333.3 NThe frictional force f can now be determined as;f = Fs, max= μsN= 21,333.3 N= μsmgCosθwhere m is the mass of the car, and g is the acceleration due to gravity.

Substitute the values into the formula;μ s = f/mgCosθ= 21,333.3 N / 800 kg * 9.8 m/s² * Cos(28.0°) = 0.58Therefore the coefficient of static friction is 0.58.

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The Domain and range tends to (-∞,∞) and for more clarity see the graph mentioned below.

Define Domain and Range

Given expression is,

f(x) = -1/4x³ + 4x - 3

In this x ∈ R, so

Domain = (-∞,∞) , { x|x  ∈ R }

Range =   (-∞,∞) ,{ y|y ∈ R }

Hence, the Domain and range tends to (-∞,∞) and for more clarity see the graph mentioned below.

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Answer:

The answer is C (9 and - 3) because -3 is 12 less than 9 and 9 × -3 = -27

False. In a two-factor ANOVA, if two significant main effects emerge, it does not necessarily mean that the interaction between factors is significant. Main effects and interaction effects are independent of each other and can have different levels of significance.

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The presence of significant main effects does not necessarily indicate a significant interaction between factors in a two-factor ANOVA. It is possible for there to be significant main effects without a significant interaction.

Therefore, it is important to examine both the main effects and the interaction effects in a two-factor ANOVA to fully understand the relationship between the variables being studied.
False

In a two-factor ANOVA, there are three possible significant effects: two main effects for each factor and one interaction effect between the factors. When two significant main effects emerge, it means that there are significant differences in the levels of both factors. However, this does not automatically mean that the interaction between the factors must also be significant. The interaction effect is an entirely separate effect and can be significant or non-significant regardless of the significance of the main effects.

If two significant main effects emerge in a two-factor ANOVA, it does not necessarily mean that the interaction between factors must be significant.

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The probability that Juan loses his next tennis match is 48%

From the question, we have the following parameters

The proportion of tennis matches won

p = 52%

This proportion implies that the probability that the player will win his next tennis match

So, we have the following representations

Probability of winning, p = 52%

Express the percentage as decimal

So, we have the following representations

Probability of winning, p = 0.52

The probability of losing the next match is the complement of the probability of winning

This is represented as

Probability of losing = 1 - Probability of winning,

Substitute the known values in the above equation

So, we have the following equation

Probability of losing = 1 - 0.52

Evaluate

Probability of losing = 0.48

Hence, the probability is 0.48 or 48%

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The work done in stretching the spring from its natural length to 1.1 feet beyond its natural length is 6.125 foot-pounds.

The work done in extending a spring is given by the formula: W = (1/2)kx^2, where W is the work done, k is the spring constant, and x is the displacement from the natural length of the spring.

First, we need to find the spring constant k. Since a force of 5 pounds is required to hold the spring stretched 0.6 feet beyond its natural length, we can use the formula k = F/x to find k:

k = F/x = 5/0.6 = 8.33 pounds/foot

Now, we can find the work done in stretching the spring from its natural length to 1.1 feet beyond its natural length:

W = (1/2)kx^2 = (1/2)(8.33)(0.5^2) = 6.125 foot-pounds.

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Answer:

3

Step-by-step explanation:

\(5.67 \times {10}^{2} \\ = 5.67 \times 100 \\ = 567\)

Hence, the given number has 3 significant figures.

Answer:

- 44 feets

Step-by-step explanation:

Given the model:

h(t) = -15t2 + 25t + 6

Average height of object from 1 - 4 seconds

At :

t = 1

h(1) = -15(1)^2 + 25(1) + 6 = 16 feets

t = 2

h(2) = -15(2)^2 + 25(2) + 6 = - 4 feets

t = 3

h(3) = -15(3)^2 + 25(3) + 6 = - 54 feets

t = 4

h(4) = -15(4)^2 + 25(4) + 6 = -134 feets

Average height:

(16 + (-4) + (-54) + (-134)) / 4 feets = (- 176 / 4) feets

= - 44 feets

Answer:

did you get the answer yet I have the same question

Answer: a. 8 feet

the first question in part b is 1 and the second part is 9. ( or you could just put 1,9) c. 1 foot taller d. -2 and 4

Step-by-step explanation: you get answer A by looking at the C- value of the equation( in this case it’s 8)

you get the first answer to B by using the axis of symmetry formula -b/2(a) and that equals 1. You get the second answer to B by plugging in 1 into the equation..solve and get 9. So your answers in total should be (1,9)

For part C all you do is subtract the top of the ramp.. which is 8 from your vertex. in other words you do 9-8 and get 1 as your answer for C

Lastly, for D you use the quadratic formula ( or use photo math) and get answers -2 and 4.

If you’re also having problems on part E .. all you have to do is place a dot at point -2, place dot at point 4, place a dot at 8 on the Y AXIS, then place a dot at point (1,9) lastly, connect the dots with a line and the graph should look like an upside down U or V( whatever you think it looks like)

I hope this helped you guys!!

The balance due on the note at the date of maturity is ​$1010.13.

The offering of a payment by cheque for less than the whole amount sought by the creditor is known as partial payment. It is standard practice to grant debt forgiveness in exchange for the tender of a "payment-in-full" check.

Given permission to apply the US rule

In the United States, a year is deemed to have 360 days for the purposes of calculating interest.

Given that the principal is $ 2000,

Interest rate = 4% = 0.04

The effective date is April 1.

The whole amount is $1,000.

May 1 = partial payment

Duration = 30 days (May 1 - April 1)

Therefore, interest = PTR = 2000 * 0.04 * 30/360 = $6.67

So value = $ 2000 + $6.67 = $6.67

Partial payment received = $1,000

As a result, value = $ 1006.67 = $2006.67 - $ 1000

Time T= 31

Interest = PTR * 31/360 * 0.04 = 3.46

So the total value is $1006.67 + $3.47 = $1010.13.

The note's outstanding balance at maturity is $1010.13.

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