Find the equation of the linear function
represented by the table below in slope-
intercept form.

Answer:$2.10

Step-by-step explanation:

Answer:

-152

Step-by-step explanation:

Given that h(t) = 161-4t and g(t) = 3-2t,

g(-1) = 3-2(-1) = 3+2 = 5

h(1) = 161-4(1) = 161-4 = 157

Therefore, g(-1)-h(1) = 5 - 157 = -152

So the value of g(-1)-h(1) is -152

The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

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Answer:

Commutative Property of Addition

Step-by-step explanation:

The commutative property states that you can change the order of the addends. For example, 4 + 7 = 7 + 4.

It is not the addition property of equality because this property states that whatever is added to one side of the equal sign must be added on the other side as well. For example, x - 5 = 8 is the same as x = 13 because we added 5 to both sides of the equation.

It is not the associative property because that states that you can change the grouping of the addends. For example, 3 + (7 + 29) = (3 + 7) + 29.

It is not the identity property because that states that a number plus 0 is still that number. For example, 54 + 0 = 54.

In the problem "3/5 + (-7/8) + 4/5 = 3/5 + 4/5 + (-7/8)" we are simply switching the 4/5 and the -7/8, so it is illustrated by the commutative property.

The odds in favor of the event happening are 5 to 4.

We have,

To find the odds in favor of an event happening, we use the formula:

Odds in favor = Probability of the event happening / Probability of the event not happening

In this case,

The probability of the event happening is 5/9.

The probability of the event not happening is 1 - 5/9, which simplifies to 4/9. So the odds in favor of the event happening are:

Odds in favor

= 5/9 / 4/9

= 5/4

Therefore,

The odds in favor of the event happening are 5 to 4.

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Answer:

length is 9 and width is 6

Step-by-step explanation:

List the factors of 54 and choose the numbers that only have a difference of 3. In this case it is 6 and 9, then put them in the order they go based on the instructions.

Answer:

4 hours and 30 minutes

Hope this helps :)

Answer:

Value : c = ad - b

Step-by-step explanation:

Given the equation:  Solve for c;

Multiply both sides by d in we get;

subtract b from both sides we have;

Simplify:

ad - b = c

Therefore, the value of c is, ad -b

Answer:

Step-by-step explanation:

ab +c=d

SUBTRACT c FROM BOTH SIDES.

ab + c (-c) = d - c

ab + 0 = d - c

ab = d-c

Divide both sides by b.

ab/b = (d-c)/b

a = (d-c)/b (FIRST EQUATION)

a=b+c/d

THIS IS ALREADY SOLVED FOR a. (SECOND EQUATION)

O a = b/(C-d)

O a = (d - c)/b

In 5 days the total rental charge is the same for each store.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

Let x be the days. The two-equation will be formed as:-

Total amount = 1.5x   +   12.5  

Total amount = 4x

For the same total amount, we will equate the two equations.

1.5x   +   12.5  =  4x

12.5  =  4x  -  1.5x

12.5  =  2.5x

x  =  12.5  /  2.5

x  =  5 days

Therefore In 5 days, the total rental charge is the same for each store.

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i think its 7

Hope this helps

-scav

Answer: 14%

Step-by-step explanation:

Answer:

21.21

Step-by-step explanation:

Area of a circle is A = π r^2

Variables:

r = 18/2 = 9

θ = 30 deg

Find the area:

A = π r^2

A = π 9^2

A = 254.47

Find the area of the sector:

θ/360 * A

= 30/360 * 254.47

= 21.21

Similar figures have sides that are proportional and corresponding angles are congruent to each other

• Let's call A the event of a bow tie designed with swirls (P(A)=0.3).

• Let's call B the event of a bow made of velvet (P(B)=0.1).

It is important to know that the events are mutually exclusive because bows can be made of two different materials at the same time. which means there's no intersection between A and B. So, the probability is

Answer:

4m

Step-by-step explanation:

Answer:

y = 31

Step-by-step explanation:

it's an isosceles triangle

Answer:

In the equation y=5x the slope (m) is 5, and the y-intercept is the point (0,0) since there is nothing added or subtracted to the 5x, and thus b = 0.

Step-by-step explanation:

Answer:

measurements being compared are called the terms of the ratio. A rate is a special ratio in which the two terms are in different units. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour,

Answer:

5p

Step-by-step explanation:

if p=7, 5p=35

Answer:

5p

Step-by-step explanation:

The CLV for transactors is $37.5, for revolvers it is $208.33, and for dormants, it is $2,000,000.

Customer Lifetime Value (CLV) is a financial analysis of the total revenue an organization can reasonably anticipate from a single customer over the course of their relationship. It is the net present value of the cash flows attributed to the relationship with a customer.

This metric is widely used in business to determine how valuable a customer is to the company.

The formula for CLV is:

CLV = (Average Value of a Sale) X (Number of Repeat Transactions) X (Average Retention Time in Months or Years)

There are three sub-segments of the credit card product: transactors, revolvers, and dormants.

The transactors are customers who pay off their credit card balance every month.

Revolvers are customers who carry a balance from month to month.

Dormants are customers who no longer use their credit card.

Each sub-segment will have a different CLV.

Here is how to calculate CLV for each sub-segment:

Transactors:

CLV = (Annual Fee) X (1/Churn Rate)

CLV = (450) X (1/12)

CLV = 37.5 dollars

Revolvers:

CLV = (Annual Interest Paid) X (Average Customer Lifespan)

CLV = (5000) X (1/24)

CLV = 208.33 dollars

Dormants:

CLV = (Number of Dormant Customers) X (Average Annual Spend per Customer) X (Profit Margin)

CLV = (10,000) X (1000) X (0.2)

CLV = 2,000,000 dollars

Therefore, the CLV for transactors is $37.5, for revolvers it is $208.33, and for dormants, it is $2,000,000.

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The standard error of the sample mean is 1.21.

Given;

Suppose a diet regimen for men results in an average weight loss of between 13. 4 and 18. 3 pounds, according to a 95% confidence interval. These findings were based on a group of 42 men who were classified as overweight at the beginning of the four-month trial.

A 95% confidence interval for a population mean is (13.4, 18.3)

Upper limit = 18.3

Lower limit = 13.4

Since population SD is unknown, this interval is constructed using the t distribution.

n = 42

c = 0.95

∴ α = 1 - c = 1 - 0.95 = 0.05

α/2 = 0.025

Also, d.f = n - 1 = 42 - 1 = 41

∴ ta/2.d.f =  ta/2.n-1  =  t0.025,41  =  2.02 . . . . use t table

Now,

The margin of error = (Upper limit - Lower limit)/2

                                 = (18.3 - 13.4)/2

                                 = 2.45

But,

Margin of error = ta/2.d.f-  * (s / \sqrt{} n)

Margin of error = ta/2.d.f-  * Standard error

2.45 = 2.02 * Standard error

Standard error = 1.2129

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answer here!

sry it is a bit messy

Answer:

1) 11001 base 2

2)133 base 5

1) To convert base 10 into base 2

25/2= 12remainder 1

from this point on, the remainders will be replaced by r

12/2= 6r0

6/2=3r0

3/2=1r1

1/2=0r1

The remainders are then written down from the bottom up

= 11001

2) To convert 101011 base 2 into base 5

101011= 1×2⁵ + 0×2⁴+ 1×2³+ 0×2² + 1×2¹ + 1×2⁰

=1×32 + 0×16 + 1×8+ 0×4+1×2+1×1

=32+0+8+0+2+1

=43 base 10

Then convert 43 base 10 to base 5

43/5=8r3

8/5=1r3

1/5=0r1

=133 base 5

The cost of one earring is 15.50.

The first step is to determine the total cost of the three sets of earrings. Total cost of the three sets of earrings = total amount spent - total cost of the scarves

Total cost of the scarves = cost of one scarf x total number of scarves bought

18 x 2 = $36

Total cost of the three sets of earrings = 82.50 - 36 = 46.50

Cost of one set of earring = total cost of the three sets of earrings / number of sets bought

46.50 / 3 = 15.50

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Answer:

B

Step-by-step explanation:

The red graph is represented by the function:

\(f(x)=x^2\)

And we want the equation of the blue graph.

We can see that the blue graph is simply the red graph shifted 2 units horizontally to the right.

A horizontal transformation is given by:

\(f(x-h)\)

Where h is the number of units we shift (to the right).

Since we shifted two units to the right, h = 2.

So, our new function will be:

\(g(x)=f(x-2)=(x-2)^2\)

Therefore:

\(g(x)=(x-2)^2\)

Our answer is B.

Notes:

A represents a vertical shift of two units downwards.

C (assuming it is x²) represents a vertical shift of two units upwards.

And D (if you let h = -2, then f(x - (-2)) = f(x + 2) = (x + 2)²) is a horizontal shift of two units to the left.

The equation of the blue graph is B. g(x) = (x - 2)².

A graph simply means a diagram that represents the variation of a variable when compared with other variables.

In this case, the red graph is illustrated by f(x) = x². The blue graph in this case is simply the red graph shifted two units horizontally.

Therefore, the equation of the blue graph will be:

= (x - 2)².

In conclusion, g(x) = (x - 2)².

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After subtraction (3x+4) - (x+7), the resultant answer is 2x-3.

One of the four operations used in mathematics, along with addition, multiplication, and division, is subtraction.

Removal of items from a collection is represented by the operation of subtraction.

For instance, in the following image, there are 5 2 peaches, which means that 5 peaches have had 2 removed, leaving a total of 3 peaches.

So, we have:

(x+7) and (3x+4)

We have to subtract as:

(3x+4) - (x+7)

Now, subtract as follows:

(3x+4) - (x+7)

3x+4 - x-7

2x-3

Therefore, after subtraction (3x+4) - (x+7), the resultant answer is 2x-3.

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The limit does not exist at x = 0, and f is not continuous at x = 0.

(a) To determine the limits that do not exist for the function f(x), we need to identify any points where the left-hand limit is not equal to the right-hand limit.

Looking at the given function, the only point where this occurs is at x = 0.

Therefore, the limit does not exist at x = 0.

(b) To determine the x-coordinate(s) where f is not continuous, we need to identify any points where the function has a jump or a removable discontinuity.

From the given function, we see that f(x) has a jump discontinuity at x = 0, where the function changes abruptly from the value 2 to the value 1.

Hence, the x-coordinate where f is not continuous is x = 0.

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Answer:

x=-1.28571429

Step-by-step explanation:

Answer:

x = -1.28

Step-by-step explanation:

x2+5x=-9

7x = -9

x = -1.28

These equations indicate that the planes do not intersect at a single point or along a single line. Instead, they have a common plane of intersection. The nature of the intersection is a plane.

The planes represented by the given equations intersect to form another plane rather than intersecting at a single point or along a single line.

To determine the intersection of the given planes, let's label them as follows:

Plane m: 3x - 3y - 2z - 14 = 0 (equation 1)

Plane 72: 5x + y - 6z - 10 = 0 (equation 2)

Plane #y: x - 2y + 42z - 9 = 0 (equation 3)

We can solve this system of equations to find the nature of their intersection.

First, let's find the intersection of Plane m (equation 1) and Plane 72 (equation 2):

To solve these two equations, we'll eliminate one variable at a time.

Multiplying equation 1 by 5 and equation 2 by 3 to get coefficients that will cancel out y when added:

15x - 15y - 10z - 70 = 0 (equation 1 multiplied by 5)

15x + 3y - 18z - 30 = 0 (equation 2 multiplied by 3)

Adding both equations:

30x - 28z - 100 = 0

Now, let's find the intersection of Plane #y (equation 3) with the result obtained:

Subtracting equation 3 from the above result:

30x - 28z - 100 - (x - 2y + 42z - 9) = 0

Simplifying:

29x - 70y - 70z - 91 = 0

Now we have a system of two equations:

30x - 28z - 100 = 0 (equation 4)

29x - 70y - 70z - 91 = 0 (equation 5)

To find the intersection of these two planes, we'll eliminate variables again.

Multiplying equation 4 by 29 and equation 5 by 30 to get coefficients that will cancel out x when subtracted:

870x - 812z - 2900 = 0 (equation 4 multiplied by 29)

870x - 2100y - 2100z - 2730 = 0 (equation 5 multiplied by 30)

Subtracting equation 4 from equation 5:

-2100y - 1296z + 830 = 0

The nature of the intersection is a plane.

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Answer:

X= Y/200 - 3/2

Step-by-step explanation:

1 1000 0110 0001 1000 0000 0000 0000. The machine code is a concatenation of the sign bit, the biased exponent, and the mantissa. Therefore, the machine code for -4.375 in 32 bits is 1 1000 0110 0001 1000 0000 0000 0000.

Sign in binary is: 1. We need to first check the sign of the number.-4.375 is a negative number, therefore, the sign bit is Value to the left of the binary point, i.e., integral part in binary is: 100.

First, we take the absolute value of the number, then divide it by 2 until we obtain 0 in the quotient.The remainders of each division, read from bottom to top, give the binary representation of the integral part.

Therefore, the binary representation of the integral part of -4 is 100.9c) Fractional part is: 011. We convert the decimal part to binary by multiplying it by 2 until we obtain a fractional part of 0.

The integer parts of each multiplication, read from top to bottom, give the binary representation of the fractional part. Therefore, the binary representation of the fractional part of 0.375 is 0.011. 9d)

Putting together the sign, integral part, and fractional part is: 1 100 011. The sign is 1 (negative), the binary representation of the integral part is 100, and the binary representation of the fractional part is 011.9e)

Normalize the value in 9d): 1.100011 x 2^-2. We need to place the binary point after the first 1. Then, we shift the binary point to the left until we obtain a number between 1 and Therefore, the normalized form of 1 100 011 is 1.100011 x 2^-2.9f)

Compute the exponent in biased form: 125. The exponent is the number of bits we shift the binary point to the left during normalization.The bias is the value we add to the exponent to obtain its biased form. For 32 bits, the bias is 127. Therefore, the exponent of 1.100011 x 2^-2 is 2 + 127 = 129 in biased form.9g)

Write the machine code in 32 bits for the sign, exponent, and mantissa: 1 1000 0110 0001 1000 0000 0000 0000. The machine code is a concatenation of the sign bit, the biased exponent, and the mantissa. Therefore, the machine code for -4.375 in 32 bits is 1 1000 0110 0001 1000 0000 0000 0000.

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The business cycle is a recurring pattern of economic expansion and contraction that occurs in economies over time. Each business cycle typically consists of four phases: expansion, peak, contraction, and trough.

The peak is the highest point of economic activity within a business cycle. It marks the end of the expansion phase and the beginning of the contraction phase. During this phase, economic indicators, such as GDP, employment, and consumer spending, reach their highest levels.

The peak is indeed a part of the business cycle. It represents the phase of maximum economic activity and is characterized by various indicators reaching their highest points. This phase is followed by the contraction phase, where economic activity slows down. Therefore, the peak is a crucial element in understanding and analyzing business cycles.

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