Graph:
3/4 times 2^x

Answer:

$1800-$350=$1450

$1450÷$145=10 nights

Answer: 960

Step-by-step explanation:

since both sides are equal to 0, this confirms that x = 42/29 is the correct solution. To solve the equation 3/4(2-x) + 5/6(3-2x) = 1/2 for x, we can start by simplifying the equation first by multiplying each term by the least common multiple of the denominators, which is 12. This will eliminate the fractions and allow us to solve for x.

Multiplying each term by 12, we get:    

9(2-x) + 10(3-2x) = 6

Expanding the brackets, we get:

18 - 9x + 30 - 20x = 6

Combining like terms, we get:

48 - 29x = 6

Solving for x, we can subtract 48 from both sides:

-29x = -42

Dividing both sides by -29, we get:

x = 42/29

Therefore, the solution to the equation is x = 42/29.

To check if this solution is valid, we can substitute it back into the original equation and see if both sides are equal:

3/4(2-(42/29)) + 5/6(3-2(42/29)) = 1/2

Simplifying this expression, we get:

0

Since both sides are equal to 0, this confirms that x = 42/29 is the correct solution.

In summary, to solve the equation and get the variable on one side, we first simplify the equation by multiplying each term by the least common multiple of the denominators, then we expand the brackets and combine like terms to get an equation in terms of x. Finally, we isolate x by performing algebraic operations on both sides of the equation until we have x on one side and a constant on the other side.

To know more about algebraic operations  click here:

brainly.com/question/30996373

#SPJ4

Answer:

d) m + s = 20

m = 5

Step-by-step explanation:

m + 3s = 50

m + s = 20

m + 3(20-m) = 50

m + 60 - 3m = 50

60 - 2m = 50

60 = 50 + 2m

60 - 50 = 2m

10 = 2m

5 = m

x and x⁴-16x²+56 are the resulting composite functions respectively.

Given the following functions below

f(x) = 7/x

g(x) = x² - 8

We need to determine the composite functions (fof)(x) and (gog)(x)

(fof)(x) = f(f(x))

f(f(x)) = f(7/x)

Replace x with 7/x

f(7/x) = 7/(7/x)

f(7/x) = 7 * x/7

f(7/x) = x

Similarly:

(gog)(x) = g(g(x))

g(g(x)) = (x² - 8)² - 8

g(g(x)) = x⁴-16x²+64 - 8

g(g(x)) = = x⁴-16x²+56

Hence the resulting composite functions of f(f(x) and g(g(x)) are x and x⁴-16x²+56

Learn more on composite function here: https://brainly.com/question/10687170

#SPJ1

To count the total number of possible symmetric scanning codes, we need to consider the different symmetries that can be present in a $7 \times 7$ grid. There are a total of $175$ possible symmetric scanning codes.

Rotation by $0^{\circ}$: In this case, there is only one possible arrangement because no squares need to change their color.

Rotation by $90^{\circ}$: The $7 \times 7$ grid can be divided into four quarters. Each quarter can be independently colored in two ways (black or white), except for the center square, which has only one possibility to ensure at least one square of each color. Therefore, there are $2^4 = 16$ possibilities for this rotation.

Rotation by $180^{\circ}$: Similar to the previous case, there are $16$ possibilities.

Rotation by $270^{\circ}$: Again, there are $16$ possibilities.

Reflection across the line joining opposite corners: This symmetry divides the grid into two halves. Each half can be independently colored in $2^6 = 64$ ways, but we need to subtract the case where both halves have the same color to ensure at least one square of each color. So, there are $64 - 1 = 63$ possibilities.

Reflection across the line joining midpoints of opposite sides: Similar to the previous case, there are $63$ possibilities.

Finally, we add up the possibilities for each symmetry:

$1 + 16 + 16 + 16 + 63 + 63 = 175$

Therefore, there are a total of $175$ possible symmetric scanning codes.

Learn more about symmetries here

https://brainly.com/question/29545496

#SPJ11

We have designed a situation where the probability of one event (event A) is 1/5 and the probability of another event (event B) is 1/10.

To quantify the probability of each event, we can define the following events:

Then, the probability of event A is 1/5, since 1 in every 5 units of product A is defective. Similarly, the probability of event B is 1/10, since 1 in every 10 units of product B is defective.

Now, let's consider a scenario where the company receives an order for 100 units of products, with 60 units of product A and 40 units of product B. The company wants to determine the probability of the following events:

To calculate the probability of event C, we need to consider the probability of selecting a defective unit from product A and from product B, and the proportion of each product in the order. Since the order has 60 units of product A and 40 units of product B, the probability of selecting a unit of product A is 60/100 = 3/5, and the probability of selecting a unit of product B is 40/100 = 2/5.

Using the probabilities of event A and event B, we can calculate the probability of selecting a defective unit from product A or from product B as follows:

Therefore, the probability of event C can be calculated as follows:

P(C) = P(A) * P(A in order) + P(B) * P(B in order)

= (1/5 * 3/5) + (1/10 * 2/5)

= 3/25

So the probability of selecting a defective unit from the order is 3/25.

To calculate the probability of event D, we can use the complement rule, which states that the probability of an event and its complement (i.e., the event not happening) add up to 1. Therefore, the probability of event D can be calculated as follows:

P(D) = 1 - P(C)

= 1 - 3/25

= 22/25

So the probability of selecting a unit from the order at random and finding that it is not defective is 22/25.

In summary, we have designed a situation where the probability of one event (event A) is 1/5 and the probability of another event (event B) is 1/10. We have also calculated the probability of two other events (event C and event D) in a scenario where a manufacturing company produces two types of products, with different probabilities of defects, and receives an order with a certain proportion of each product.

To know more about probability visit:

brainly.com/question/25870256

#SPJ1

The given numbers 44, 45, 46, 47, 48, 49 are obtainable.

They are obtainable through various methods and techniques. The numbers can be generated or formed using simple mathematical operations. 44 can be obtained by subtracting 5 from 49. 45 can be obtained by subtracting 4 from 49.46 can be obtained by subtracting 3 from 49.47 can be obtained by subtracting 2 from 49.48 can be obtained by subtracting 1 from 49.49 can be obtained by adding 0 to 49.

In other words, we can say that all of these numbers are consecutive numbers that come right after 43. So, these numbers are obtainable by simply counting upwards from 43, one number at a time.

Therefore, 44, 45, 46, 47, 48, 49 are obtainable numbers. The answer to the question is presented in approximately 100 words.

To know more about  numbers, click here

https://brainly.com/question/24908711

#SPJ11

Answer: A

Step-by-step explanation:

On a reflection through the x-axis, the x-coordinate of the point will not change, but the y-coordinate will be changed with a negative sign.

So, the reflection of the point is: (8, -7)

Therefore, Option(a)(8, -7) is true.

Answer:

6.7 units

Step-by-step explanation:

The shortest distance between two lines is the perpendicular line.

y = 2x + 3

Slope of the perpendicular line: - 1/2

Point (-5,8)

b (y-intersect) = 8 - (-1/2)(-5) = 11/2

Perpendicular line equation: y = -1/2x + 11/2

y = y

2x +3 = -1/2x + 11/2

2x + 1/2x = 11/12 - 3

5/2x = 5/2

x = (5/2) / (5/2)

x = 1

Plug x = 1 into any of the equations of the line to find y.

y = 2x + 3

y = (2*1)+3 = 5

Points from the perpendicular line (1,5) and (-5,8)

Distance between these two points:

d = sqrt[(-5-1)^2 + (8-5)^2]

= sqrt (6^2 + 3^2) = sqrt 45

= 6.7

The probability of the sum of the die rolls being odd is 1.

To find the probability that the sum of the die rolls is odd, let's consider all the possible outcomes step by step.

When two fair coins are tossed, the possible outcomes are: HH, HT, TH, and TT.

For each head that results, we roll a fair die. So, for HH, we roll two dice, and for HT, TH, and TT, we roll one die.

Let's calculate the probability for each outcome:

1. HH: The sum of two dice can be odd if one die shows an even number and the other shows an odd number. The possibilities are: (2, 1), (2, 3), (4, 1), (4, 3), (6, 1), and (6, 3). Therefore, the probability is 6/36 = 1/6.

2. HT: The sum of one die can only be odd if the die shows an odd number. The possibilities are: 1, 3, or 5. Therefore, the probability is 3/6 = 1/2.

3. TH: Same as HT, the probability is also 1/2.

4. TT: Since no dice are rolled, the sum is 00, which is even.

To find the overall probability, we need to consider the probabilities of each outcome occurring:

Probability of HH = 1/6
Probability of HT = 1/2
Probability of TH = 1/2
Probability of TT = 0

The total probability is the sum of these probabilities:

1/6 + 1/2 + 1/2 + 0 = 1/6 + 1 = 7/6

Please note that probabilities cannot exceed 1. Therefore, the probability of the sum of the die rolls being odd is 1.

Know more about probability here,

https://brainly.com/question/31828911

#SPJ11

Answer:

son weight = 72

Step-by-step explanation:

D + S = 180

D + 2S = 252

S=252-180

S = 72

D= 108

Answer:

The independent variable.

With 96% confidence, we estimate between 93.7% and 99.1% of all northern Kentucky residents are opposed to tolls on the Brent Spence Bridge.

To estimate the proportion of northern Kentucky residents opposed to tolls on the Brent Spence Bridge, we need to find the confidence interval of the sample proportion.

Given the sample size and the number of respondents opposed to tolls, we can use the formula for the standard error of a sample proportion:

SE = sqrt(p * (1-p) / n)

Where p = 0.964 (proportion of respondents opposed to tolls), n = 1634 (sample size)

SE = sqrt(0.964 * 0.036 / 1634) = 0.013

Now we can calculate the lower and upper limits of the 96% confidence interval:

CI lower = p - (1.96 * SE) = 0.964 - (1.96 * 0.013) = 0.937

CI upper = p + (1.96 * SE) = 0.964 + (1.96 * 0.013) = 0.991

After converting to percentages, the lower and upper limits of the interval can be rounded to two decimal places:

CI lower = 93.7%

CI upper = 99.1%

So with 96% confidence, we estimate between 93.7% and 99.1% of all northern Kentucky residents are opposed to tolls on the Brent Spence Bridge.

To know more about  percentages

brainly.com/question/24159063

#SPJ4

Compared with the graph of the parent function, an equation which shows only a vertical compression by a scale factor of 1/3 and a shift downward of 4 units is: A. y = 1/3∛x - 4.

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric objects (shapes) such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either vertically or horizontally enlarge or reduce (compress) a function representing their size.

Generally speaking, the transformation rule for the dilation of a geometric object (square) based on a specific scale factor is given by this mathematical expression:

(x, y)      →    (SFx, SFy)  = (1/3x, 1/3y)

Where:

In this scenario, the only equation that is vertically compressed by a scale factor of 1/3 and translated (shifted) downward by 4 units is given by:

y = 1/3∛x - 4.

Read more on function and scale factor here: https://brainly.com/question/11778962

#SPJ1

Answer:

The first part is A

and second part is D

Step-by-step explanation:

100% on edge 2023

Answer:

81, 100, 25, 4

Step-by-step explanation:

The square root of each of these numbers is whole

Answer:

these are the perfect squares

Step-by-step explanation:

a) Fiscal policy: Increase government spending or reduce taxes to boost aggregate demand (AD). Monetary policy: Lower interest rates or increase money supply to stimulate AD.

b) Impact depends on SRAS slope. Output ↑, unemployment ↓ in short run. Inflation ↑ if SRAS is steep.

c) Higher inflation expectations from persistent expansionary policies can lead to increased wages and prices, resulting in higher inflation in the long run.

d) Expansionary fiscal policy can lead to budget deficits, crowding out private investment, higher government debt, future tax burdens, and dependency on government intervention.

a) Fiscal policy involves using government spending and taxation to influence aggregate demand (AD) and stabilize the economy. To minimize the unemployment rate, the prime minister could implement expansionary fiscal policy by increasing government spending or reducing taxes. This would lead to an increase in AD, stimulating economic activity, and potentially reducing unemployment. Monetary policy, on the other hand, involves actions taken by the central bank to influence the money supply and interest rates. The prime minister could work with the central bank to implement expansionary monetary policy, such as lowering interest rates or conducting open market operations to increase the money supply. This would encourage borrowing and spending, boosting AD and potentially reducing unemployment.

b) If the central bank helps the prime minister achieve the goal of minimizing the unemployment rate, it can have short-run effects on both the unemployment rate and the inflation rate. Expansionary fiscal and monetary policies can increase AD, leading to increased output and potentially reducing unemployment in the short run. However, the impact on inflation will depend on the slope of the short-run aggregate supply (SRAS) curve. If the SRAS is relatively flat, the increase in output will have a larger impact on reducing unemployment without significantly increasing inflation. Conversely, if the SRAS is steep, the increase in output may lead to a significant increase in inflation with only a modest reduction in unemployment.

c) The opposition leader's argument is related to the long-run implications of the prime minister and central bank's agreement on inflation expectations. According to the AD-AS model, in the long run, the economy will reach the natural rate of unemployment (NRU) where the SRAS curve intersects the long-run aggregate supply (LRAS) curve. If expansionary fiscal and monetary policies are used persistently to reduce the unemployment rate below the NRU, it can create inflationary pressures. This may result in higher inflation expectations among households and businesses, leading to higher wage demands and increased prices.

d) If the prime minister chooses to use fiscal policy to minimize the unemployment rate, the opposition leader argues that it will also be costly in the long run. This is because expansionary fiscal policy, such as increasing government spending or reducing taxes, can lead to budget deficits. Persistent budget deficits can increase government debt and require borrowing, which may lead to higher interest rates and crowding out private investment. Higher government debt can also result in future tax burdens or reduced government spending on other essential areas, impacting long-term economic growth.

To learn more about SRAS slope, click here:

brainly.com/question/28793630

#SPJ1

The equation of the straight line is y = -2x - 4, the value of x₁ is -1 and the value of y₁ is -2.

To find the equation of a straight line given its slope and one point, we use the point-slope form of the equation:

−y − y₁​ = m(x−x₁ )

where m is the slope of the line, and (x₁, y₁) is the given point.

In this case, m = -2 and the point is (-1, -2). So we have:

x₁ = -1

y₁ = -2

m = -2

Substituting these values into the point-slope form, we get:

y−(−2)=−2(x−(−1))

Simplifying and rearranging terms, we get the equation of the line:

y + 2 = -2x - 2

y = -2x - 4

Find out more about straight lines

brainly.com/question/23805201

#SPJ4

a) Using the Euclidean algorithm, we can find gcd (707,413) as follows:707 = 1 · 413 + 294413 = 1 · 294 + 119294 = 2 · 119 + 562119 = 2 · 56 + 71356 = 4 · 71 + 12 71 = 5 · 12 + 11 12 = 1 · 11 + 1

Thus, gcd (707,413) = 1.

We can find the coefficients s and t that solve the equation 707s + 413t

= 1 as follows:1 = 12 - 11 = 12 - (71 - 5 · 12) = 6 · 12 - 71 = 6 · (119 - 2 · 56) - 71

= - 12 · 56 + 6 · 119 - 71

= - 12 · 56 + 6 · (294 - 2 · 119) - 71 = 18 · 119 - 12 · 294 - 71

= 18 · 119 - 12 · (413 - 294) - 71 = 30 · 119 - 12 · 413 - 71

= 30 · (707 - 1 · 413) - 12 · 413 - 71 = 30 · 707 - 42 · 413 - 71

Thus, s = 30, t = -42. So we have found that 707(30) + 413(−42) = 1.

b) Since 707s + 413t = 1 and 9 does not divide 1, the equation 707x + 413y = 9 has no integer solutions. Therefore, we can conclude that there are no such integers x and y.

To know more about Euclidean visit :

https://brainly.com/question/3589540

#SPJ11

Answer:

Step-by-step explanation:

Elimination-

Let's solve your system by elimination.

6

�

+

2

�

=

−

63

;

�

−

4

�

=

−

18

Multiply the second equation by -6, then add the equations together.

(6�+2�=−63)

(

�

−

4

�

=

−

18

)

Becomes:

6

�

+

2

�

=

−

63

−

6

�

+

24

�

=

108

Add these equations to eliminate x:

26

�

=

45

Then solve

26

�

=

45

for y:

26

�

=

45

26

�

26

=

45

26

(Divide both sides by 26)

�

=

45

26

Answer:

\((- 2, 3 )\)

Step-by-step explanation:

\(6x + 2y = - 6\) → (1)

\(3x - 4y = - 18\) → (2)

multiplying (1) by 2 and adding to (2) will eliminate y

\(12x + 4y = - 12\) → (3)

add (2) and (3( term by term to eliminate y

\(15x + 0 = - 30\)

\(15x = - 30\) ( divide both sides by 15 )

\(x = - 2\)

substitute \(x = - 2\) into either of the 2 equations and solve for y

substituting into (1)

\(6(- 2) + 2y = - 6\)

\(- 12 + 2y = - 6\) ( add 12 to both sides )

\(2y = 6\) ( divide both sides by 2 )

\(y = 3\)

solution is \(\bold{(- 2, 3 )}\)

The aditive inverse of a number is given by itself multiplied by -1. Then if we have any number x its additive inverse is -x and their sum is:

Then theanswer is the second option, 0.

To estimate the values of f'(1), f'(2), f'(3), f'(4), and f'(5) using intervals of size 0.1, we can approximate the derivative numerically by calculating the average rate of change over small intervals around each point.

To estimate f'(x), we can use the formula:

f'(x) ≈ (f(x + h) - f(x)) / h

where h represents the interval size.

By applying this formula to each value of x, we can estimate the values of f'(1), f'(2), f'(3), f'(4), and f'(5) using intervals of size 0.1.

For example, to estimate f'(1), we calculate the average rate of change between x = 1 and x = 1.1:

f'(1) ≈ (f(1.1) - f(1)) / 0.1

Similarly, we can estimate the other derivatives:

f'(2) ≈ (f(2.1) - f(2)) / 0.1

f'(3) ≈ (f(3.1) - f(3)) / 0.1

f'(4) ≈ (f(4.1) - f(4)) / 0.1

f'(5) ≈ (f(5.1) - f(5)) / 0.1

By evaluating these expressions, using the given function f(x), we can estimate the values of the derivatives at each point.

Learn more about derivative here:

https://brainly.com/question/29144258

#SPJ11

1, 2, 3, 6, 8, 12, 16, 24, 48.

The number of bags she can make are shown in the table:

Number of CC cookies in each bag 1 2 3 4 6 8 12 16 24 48

Number of bags 48 24 16 12 8 6 4 3 2 1

Since the number of cookies that goes in a bag is a factor of the total number of cookies, all the factors of 48 are listed in the first row of the table. Each column corresponds to a situation where the 48 cookies are divided equally among some bags, and the product of the numbers in each column is 48. The number of bags is also a factor of the total number of cookies.

Given that X₁, X₂,..., X is a random sample from an exponential family with the following probability density function, f(x 0) = exp (0T(x) + d(0)+ S(x)).

To form the hypothesis for the exponential family, we need to consider the null and alternative hypothesis.

Null hypothesis: 0= 0

Alternative hypothesis: 0 ≠ 0

Explanation: The exponential family is a class of distribution families. The density of an exponential family is given by the following expression:

f(x|θ) = h(x) exp{θT(x) − A(θ)},

where h(x) is a nonnegative function of the data that does not depend on the parameter θ and A(θ) is a normalizing function.

The parameter θ is typically called the natural parameter, and T(x) is the vector of sufficient statistics. The exponential family of distributions includes the normal, exponential, chi-squared, gamma, and beta distributions, among others. In hypothesis testing for the exponential family, we typically specify a null hypothesis and an alternative hypothesis, just as in other types of hypothesis testing. The test statistic is usually a ratio of two likelihood ratios.

To know more about exponential family refer to:

https://brainly.com/question/27622986

#SPJ11

I need friends, kindly follow me everyone<3

Answer:

C. The cost per pizza for 3 pizzas divided by 8 people

Step-by-step explanation:

This is the only answer where you are multiplying by 3 and dividing by 8

Answer:

Yes it is an isosceles triangle

Step-by-step explanation:

We just need to see if the distance between two points is the same as the distance with two others

Distance between AB = (4 -(-1))² + (7 - 2)² = c²

                                        5² + 5² = c²

                                        25 + 25 = c²

                                        c = √50

Distance between AC = (11-(-1))² + (8 - 2)² = c²

                                        12² + 6² = c²

                                        144 + 36 = c²

                                        180 = c²

                                        c = √180

Distance between CB = (11-4)² + (8 - 7)² = c²

                                        7² + 1² = c²

                                        49 + 1 = c²

                                        50 = c²

                                        c = √50

Hence, this is an isosceles triangle because AB and CB are congruent in length.

-Chetan K

We need to verify if any of two sides are equal then it is an isosceles triangle.

Refer to the attachment now