f (x) = 8x + 7. Find the inverse of f(x).
O A. f¹(x) = 7 - 8x
O B. f¹(x) = 8x - 7
O c. f¹(x) = 278
x-8
O D. f-¹(x) = 2=7
8

Answer: a) To model the value of the car after "x" months, we can use the formula for exponential decay:

value after x months = initial value * (decay rate)^x

where the initial value is $4500 and the decay rate is 0.95 (100% - 5% = 95%):

value after x months = 4500 * 0.95^x

b) To find the value of the car after 8 months, we can substitute x = 8 into the equation above:

value after 8 months = 4500 * 0.95^8

value after 8 months = 4500 * 0.6634

value after 8 months = $2985.30

Therefore, the car will be worth approximately $2,985.30 after 8 months.

c) To find when the car's value will be $2,000, we can set the equation above equal to 2000 and solve for x:

2000 = 4500 * 0.95^x

0.95^x = 2000/4500

0.95^x = 0.4444

Taking the logarithm of both sides with base 0.95:

x = log(0.4444)/log(0.95)

x ≈ 14.8

Therefore, the car's value will be $2,000 after approximately 15 months (rounded to the nearest whole month).

Step-by-step explanation:

Answer:

x( x − 5 ) ( x + 2 )

Step-by-step explanation:

Answer:

x (x - 5)(x + 2)

Step-by-step explanation:

The LU factorization of matrix A is A = LU, where L = [[1, 0, 0], [-2, 1, 0], [1.5, -3, 1]] and U = [[4, -8, 10], [0, 24, -27], [0, 0, -12.5]].

Let's go step by step to find the LU factorization of matrix A.

Matrix A:

A =

[4, -8, 10]

[-8, 8, -7]

[6, -7, 3]

Step 1:

Initialize the L matrix as an identity matrix of the same size as A.

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

Step 2:

Perform Gaussian elimination to obtain U.

- Multiply the first row of A by (1/4) and replace the first row of A with the result.

A =

[1, -2, 2.5]

[-8, 8, -7]

[6, -7, 3]

- Subtract 8 times the first row of A from the second row of A and replace the second row of A with the result.

A =

[1, -2, 2.5]

[0, 24, -27]

[6, -7, 3]

- Subtract 6 times the first row of A from the third row of A and replace the third row of A with the result.

A =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

Step 3:

Update the L matrix based on the operations performed during Gaussian elimination.

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

Step 4:

The resulting matrix A is the upper triangular matrix U.

U =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

Therefore, the LU factorization of matrix A is:

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

U =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

learn more about LU factorization of matrix from this link.

https://brainly.com/question/33069156

#SPJ11

The number that is bigger than 5 1/3 but smaller than 5.5 and has one decimal place is 5.4.

To find a number that is bigger than 5 1/3 but smaller than 5.5, we need to consider the values in between these two numbers. 5 1/3 can be expressed as a decimal as 5.33, and 5.5 is already in decimal form.

We are looking for a number between these two values with one decimal place.

Since 5.4 falls between 5.33 and 5.5, and it has one decimal place, it satisfies the given conditions.

The digit after the decimal point in 5.4 represents tenths, making it a number with one decimal place.

Therefore, the number 5.4 is bigger than 5 1/3 but smaller than 5.5 and fulfills the requirement of having one decimal place.

Learn more about decimal form here:

https://brainly.com/question/20699628

#SPJ11

Answer:

Step-by-step explanation:

There does not exist any solution of  as thir graphs do not intersect.

Step-by-step explanation:

We are given that,

The values of the exponential function f(x) are f(1)= 2 and f(2)= 6.

That is, we get,

So, the function f(x) is .

Moreover, the values of the linear function g(x) are g(1) = 2.5  and g(2) = 4.

That is, the slope =  = 1.5

Substituting the slope and point (1,2.5) in the linear equation , where m is the slope, we get,

i.e. b= 1

Thus, the function g(x) is .

Consider,  

i.e.  

Now, the function f(x) is exponentially increasing and the linear function g(x) is increasing between x= 1 and x= 2, but there is no point where the graphs of the functions are intersecting.

Thus, there is no solution of the equation .

Check the picture below.

\(\textit{Law of sines} \\\\ \cfrac{\sin(\measuredangle A)}{a}=\cfrac{\sin(\measuredangle B)}{b}=\cfrac{\sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{39}{\sin(53^o)}=\cfrac{JN}{\sin(65^o)}\implies \cfrac{39\sin(65^o)}{\sin(53^o)}=JN\implies 44.3\approx JN \\\\\\ \cfrac{39}{\sin(53^o)}=\cfrac{JS}{\sin(62^o)}\implies \cfrac{39\sin(62^o)}{\sin(53^o)}=JS\implies 43.1\approx JS\)

Make sure your calculator is in Degree mode.

The correct inequality that describes the problem is 4x ≥ 40. Thus, the correct answer is A.

The answer is A because Ms. Wells is ordering 4 large cheese pizzas, and she expects to spend at least $40 on the pizzas. The inequality 4x ≥ 40 represents the total cost of the pizzas, which is 4 times the cost of each pizza (4x) and should be greater than or equal to $40. This inequality tells us that the total cost of the pizzas is at least $40, which is what Ms. Wells expects.

Option B, 4x > 40x, is incorrect because it doesn't make sense mathematically. The right side of the inequality is 40x, which is not related to the problem, and it also doesn't make sense that each pizza will cost 40 dollars.

Option C, 4x ≤ 40, is incorrect because it represents the total cost of the pizzas as less than or equal to $40, which doesn't match with Ms. Wells' expectation that she expects to spend at least $40 on the pizzas.

This question should be provided with answer choices, which are:

The correct answer is A.

Learn more about inequality here: brainly.com/question/25944814

#SPJ4

Answer:

y = 4x^2 + 32x + 28

Step-by-step explanation:

Before we can find the standard form of the quadratic function with the given coordinates, we must first start with the intercept form, whose general equation is

y = a(x - p)(x - q), where

Step 1:  We can plug in (-6, -20) for x and y, -7 for p and -1 for q into the intercept form.  This will allows us to solve for a:

-20 = a(-6 - (-7))(-6 - (-1))

-20 = a(-6 + 7)(-6 + 1)

-20 = a(1)(-5)

-20 = -5a

4 = a

Thus, the full equation in vertex form is

y = 4(x + 7)(x + 1).

Step 1:  The general equation for standard form is

y = ax^2 + bx + c.

We can convert from vertex to standard form by simply expanding the expression.  Let's ignore the 4 for a moment simply focus on (x + 7)(x + 1).

We can expand using the FOIL method, where you multiply

We see that the first terms are x and x, the outer terms are x and 1, the inner terms are 7 and x and the last terms are 7 * 1.  Now, we multiply and simplify:

(x * x) + (x * 1) + (7 * x) + (7 * 1)

x^2 + x + 7x + 7

x^2 + 8x + 7

Step 3:  Now, we can distribute the four to each term with multiplication:

4(x^2 + 8x + 7)

4x^2 + 32x + 28

Optional Step 4:  We can check that our quadratic function in standard form, by plugging in -7, -1, and -6 for x and seeing that we get 0 as the y value for both x = -7 and x = -1 and -20 as the y value for x = -6:

Checking that (-7, 0) lies on the parabola of 4x^2 + 32x + 28:

0 = 4(-7)^2 + 32(-7) + 28

0 = 4(49) - 224 + 28

0 = 196 - 196

0 = 0

Checking that (-1, 0) lies on the parabola of 4x^2 + 32x + 28:

0 = 4(-1)^2 + 32(-1) + 28

0 = 4(1) - 32 + 28

0 = 4 - 4

0 = 0

Checking that (-6, -20) lies on the parabola of 4x^2 + 32x + 28:

-20 = 4(-6)^2 + 32(-6) + 28

-20 = 4(36) -192 + 28

-20 = 144 -164

-20 = -20

I attached a graph from Desmos to show how the function y = 4x^2 + 32x + 28 contains the points (-7, 0), (-1, 0), (-6, 20), further proving that we've correctly found the quadratic function in standard form passing through these three points

Answer: To find out how many students attend chess club on Wednesdays, we need to calculate 3% of the 800 students at Steven's high school. To do this, we multiply the number of students by 3% (which is equivalent to 0.03):

800 x 0.03 = 24

So, 24 students attend chess club on Wednesdays.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ryosuke drove his friend 24 miles, which used 1.14 gallons of gas. The total cost of the gas was $4.64, calculated by multiplying 1.14 gallons by the price of one gallon which was $4.05.

1. Calculate the number of miles driven: Subtract the odometer reading when Ryosuke picked his friend up (74,568) from the odometer reading when he dropped his friend off (74,592). This gives us the total number of miles driven (24).

2. Calculate the number of gallons used: Divide the total number of miles driven (24) by the car's gas mileage (28). This gives us the number of gallons used (1.14).

3. Calculate the cost of the gas: Multiply the number of gallons used (1.14) by the price of one gallon of gas ($4.05). This gives us the cost of the gas used ($4.64).

28 miles

= \($\frac{74,592-74,568}{28}$\)

= 1.14 gallons

Cost of gas

= 1.14 gallons x\($\$4.05$\)

= \($\$4.64$\)

1. 74,592 - 74,568 = 24

2. 24 / 28 = 1.14

3. 1.14 x $4.05 = $4.64

Learn more about total cost here

https://brainly.com/question/28652728

#SPJ4

Therefore, Annette cycles a total distance of 30 km from Midville to Newtown.

Addition is an arithmetic operation that combines two or more numbers (called addends) to find their sum. The operation is denoted by the symbol "+". Addition is a fundamental operation in mathematics and is used in many different areas, such as algebra, calculus, and geometry. It is also an essential tool in everyday life, such as when adding up prices at the grocery store or calculating the total amount of money in a bank account.

Here,

We can use the formula:

distance = speed x time

to solve this problem. We can split the journey into two parts: the first part where Annette cycles at a speed of 20 km/h for 1 hour 30 minutes, and the second part where she cycles at a speed of 16 km/h for the remaining time.

First part of the journey:

distance = speed x time

distance = 20 km/h x 1.5 h

distance = 30 km

Annette cycles 30 km in the first part of the journey.

Second part of the journey:

Annette stops for 30 minutes, or 0.5 hours. So the total time for the second part of the journey is:

time = total journey time - time for first part - time for stop

time = (70 km / 16 km/h) - 1.5 h - 0.5 h

time = 2 h - 1.5 h - 0.5 h

time = 0 h

Note that the second part of the journey takes zero time because Annette has already used up all of her allotted time for the journey. Therefore, she does not cycle any further in the second part of the journey.

Total distance traveled:

The total distance traveled is the sum of the distances traveled in the two parts of the journey:

total distance = distance in first part + distance in second part

total distance = 30 km + 0 km

total distance = 30 km

To know more about addition,

https://brainly.com/question/30677797

#SPJ1

Answer:

4

The absolute value of 4 is the same since there is no negative

Answer:

REMEMBER =

The absolute value is the positive of ANY NUMBER!

EXAMPLE =

| 6 | = 6

| -1,000,000 | = 1,000,000

| -7 | = 7

Hope this helps! <3

Answer:

100 meters

Step-by-step explanation:

To figure this out, do the Pythagorean theorem

a^2 + b^2 = c^2

60^2 + 80^2 = c^2

3600 + 6400 = c^2

10000 = c^2

c = 100

Answer:

100 meters

Step-by-step explanation:

a^2 + b^2 = c^2

Given the topological spaces X = {D, O, R, K} with the topology Tx and Y = {M, A, T, H} with the topology Jy, we are asked to determine whether the set E = {0, K} is open in X and open in Y.

To determine whether the set E = {0, K} is open in the topological spaces X and Y, we need to check if E belongs to the respective topologies, Tx and Ty.

In X, the topology Tx is given by: Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X}. We can see that E = {0, K} is not explicitly listed in Tx. Therefore, E is not open in X since it does not belong to the topology.

In Y, the topology Ty is given by: Jy = {0, {M}, {M, A}, {M, A, T}, Y}. Again, E = {0, K} is not explicitly listed in Ty. Hence, E is not open in Y as it does not belong to the topology.

In both cases, the set E = {0, K} is not open in the respective topological spaces X and Y because it is not a member of the defined topologies.

Learn more about topological spaces here:

https://brainly.com/question/32645200

#SPJ11

THe false statement among the given options regarding the binary operation * is d.

A binary operation is an arithmetic operation which is defined on a set of elements, also called operands. Binary operations are used in various branches of mathematics, including computer science, algebra, and geometry. The false statement among the following options regarding the binary operation * is:

The binary operation * does not have an identity element.

Definition of an identity element:

In mathematics, an identity element or neutral element is a special type of element in a set with respect to a binary operation. It leaves other elements unchanged when combined with them through a specific binary operation. A counter example can disprove a statement. If a * b = b * a for every a and b in a binary operation, then the binary operation is commutative.

The statement (a * b) ≠ (b * a) is a counterexample to prove that the binary operation * is not commutative. As the associative property states that the grouping of numbers does not matter, the statement (a * b) * d = a * (b * d) proves that the binary operation * is associative.

In the case of the binary operation * defined on the set S, if there exists an element e such that for every element a in S, a * e = e * a = a, then the element e is called the identity element. Since binary operations usually have identity elements, it is incorrect to claim that the binary operation * does not have an identity element.

Consequently, the false statement among the given options regarding the binary operation * is d. The binary operation * does not have an identity element.

Learn more about binary operation here:

https://brainly.com/question/29519009

#SPJ11

Among the given options, the statement (a * b) * (c * d) = (a * (b * d)) * (d * c) is false because it does not follow the associative property of binary operations.

The false statement among the given options regarding the binary operation * is: (a * b) * (c * d) = (a * (b * d)) * (d * c). This is because it does not follow the associative property, rather it seems to be a random arrangement of the variables a, b, c and d. The associative property states that the way numbers are grouped does not change their result ( (a * b) * d = a * (b * d) ) but not the way it is represented in this option.

The option (a * b) ≠ (b * a) could be used as a counterexample to prove that the binary operation * is not commutative, indicating that order may matter in the operation. Option c is a representation of the associative property, and option d is a possibility depending on what the operation * actually is.

https://brainly.com/question/31228967

#SPJ11

The population of the​ region is 1395 people.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

The population density of a certain region is 45 people per square kilometer.

This means,

1 square km = 45 people

Multiply 31 on both sides.

31 square km = 31 x 45 people

31 square km = 1395 people

Thus,

The population of the region is 1395 people.

Learn more about unit rates here:

https://brainly.com/question/11258929

#SPJ9

a) the population cannot be negative, the limiting population is 4300.

b)the population is increasing when 0 < p < 4300 and decreases when p > 4300.

c)the equilibrium solutions are p = 0 and p = 4300.

(a) To determine when the population is increasing or decreasing, we need to look at the sign of dp/dt.

\(\frac{dp}{dt} = 1.2p(1 - \frac{p}{4300})\)

For dp/dt to be positive (i.e. population is increasing),

we need\(1 - \frac{p}{4300} > 0, or \ p < 4300.\)

For dp/dt to be negative (i.e. population is decreasing),

we need\(1 - \frac{p}{4300} < 0, or p > 4300.\)

Therefore, the population is increasing when 0 < p < 4300 and decreases when p > 4300.

(b) To find the limiting population, we need to find the value of p as t approaches infinity.

As t approaches infinity,\(\frac{dp}{dt}\)approaches 0. Therefore, we can set \(\frac{dp}{dt}\) = 0 and solve for p.

0 = 1.2p(1 - p/4300)

Simplifying, we get:

0 = p(1 - p/4300)

So, either p = 0 or 1 - p/4300 = 0.

Solving for p, we get:

p = 0 or p = 4300.

Since the population cannot be negative, the limiting population is 4300.

(c) Equilibrium solutions occur when\(dp/dt = 0.\)We already found the equilibrium solutions in part (b): p = 0 and p = 4300.

Therefore, the equilibrium solutions are p = 0 and p = 4300.

learn more about limiting population,

https://brainly.com/question/7440878

#SPJ11

a)  The population is increasing when 0 < p < 4300, and  decreasing when p > 4300.

b)  The population cannot be negative, the limiting population is 4300.

c)  these are the equilibrium solutions.  At p = 0, the population is not

increasing or decreasing, and at p = 4300,  the population is decreasing

but not changing in size.

(a) To determine when the population is increasing or decreasing, we

need to find the sign of dp/dt. We have:

dp/dt = 1.2p(1 - p/4300)

This expression is positive when 1 - p/4300 > 0, i.e., when p < 4300, and

negative when 1 - p/4300 < 0, i.e., when p > 4300.

Therefore, the population is increasing when 0 < p < 4300, and

decreasing when p > 4300.

(b) To find the limiting population, we need to solve for p as t approaches infinity. To do this, we set dp/dt = 0 and solve for p:

1.2p(1 - p/4300) = 0

This equation has two solutions: p = 0 and p = 4300. Since the population cannot be negative, the limiting population is 4300.

(c) To find the equilibrium solutions, we need to solve for p when dp/dt = 0. We already found that the only solutions to dp/dt = 0 are p = 0 and

p = 4300.

Therefore, these are the equilibrium solutions.

At p = 0, the population is not increasing or decreasing, and at p = 4300,

the population is decreasing but not changing in size.

for such more question on equilibrium solutions

https://brainly.com/question/13199107

#SPJ11

The total area is 1289.41 units².

The total perimeter is 281.32 units.

The first step is to determine the side lengths of the other squares:

Area of a square = length²

Perimeter of a square = 4 x length

Total area = sum of the areas of the 5 squares = 1289.41 units²

Total perimeter = 281.32 units

To learn how a square, please check: https://brainly.com/question/9030544

#SPJ1

Answer:

PERIMETER: 584/3, AREA: 11605/9

Step-by-step explanation:

PERIMETER: The side lengths form a geometric series with a = 27, and r = 2/3. Along the bottom we see all five lengths, and those same lengths are seen along the top. The sum of these lengths is 27+18+12+8+16/3=211/3.

We can also calculate this as the sum of the geometric series:

27 (1 - (2 / 3) ^ 5)/ 1 - (2 / 3) = 27(1 - 32 / 243)/ (1 / 3) = 81 x 211/243 = 211/3

We see these lengths twice, once along the bottom and once as horizontal segments on the top. We also add the left side of 27. The vertical segments on the right must also have a total length of 27, since they cover the same ground as the left side.

The total perimeter: 2 x 211/3 + 2 x 27 = 584/3

AREA: 27^2 + 18^2 + 12^2 + 8^2 + (16/3)^2 = 11605/9

Answer:

to earn a $7180 annual income from the investments, the bank needs to invest $10,000 into the bonds.

Step-by-step explanation:

Let the mortgage investment be X

The Bond to be Y

and the CDs to be Z

Thus;

X+Y+Z = 86000 ------- (1)

Y + Z = X       ------------(2)

10X + 9Y + 6Z = 7180 × 100 ------ (3)

So;we now have:

X+Y+Z = 86000 ------- (1)

Y + Z = X       ------------(2)

10X + 9Y + 6Z = 718000 ------ (3)

Let ; replace X with Y+Z in equation (1) and (3)

Y+Z + Y+Z = 86000

2Y + 2Z = 86000

Divide both sides by 2

Y+Z = 43000      ------ (4)

From equation (3)

10X + 9Y + 6Z = 718000

10(Y+Z) + 9Y + 6Z = 718000

10Y +10Z + 9Y +6Z = 718000

19Y + 16Z = 718000    -----(5)

Y+Z = 43000      ------ (4)

19Y + 16Z = 718000    -----(5)

Using elimination method; multiply (-16) with equation (4) and (5) ; so, we have:

 -16 Y -16 Z = -688000

 19Y + 16Z =    718000          

 3Y  + 0     =    30000            

3Y = 30000

Y = 30000/3

Y = 10000

From (4);

Y+Z = 43000  

So; replace Y with 10000; we have:

10000 + Z = 43000

Z = 43000 - 10000

Z = 33000

From (1) ;

X+Y+Z = 86000

X + 10000  + 33000 = 86000

X + 43000 = 86000

X = 86000 - 43000

X = 43000

Since we assume the bond to be Y and Y = $10000;

Thus; to earn a $7180 annual income from the investments, the bank needs to invest $10,000 into the bonds.

a. The first four terms of an infinite geometric series can be found using the formula a, ar, ar^2, ar^3, where 'a' is the first term and 'r' is the common ratio.

b. To determine if the series converges or diverges, we need to examine the value of the common ratio (r). If the absolute value of r is less than 1 (|r| < 1), the series converges. If the absolute value of r is greater than or equal to 1 (|r| ≥ 1), the series diverges.

c. If the series converges, we can find the sum using the formula S = a / (1 - r), where 'S' is the sum of the series.

Now, let's apply these concepts to the given infinite geometric series.

a. The first term of the series is 'e', and the common ratio is 'e'. Thus, the first four terms of the series are:

e, e * e, e * e^2, e * e^3

Simplifying this, we have:

e, e^2, e^3, e^4

b. To determine if the series converges or diverges, we need to check the absolute value of the common ratio. In this case, the common ratio is 'e', which is greater than 1. Therefore, the series diverges.

c. Since the series diverges, there is no finite sum (S) for this infinite geometric series. The sum keeps increasing without bounds as more terms are added.

to know more about geometric series here:

brainly.com/question/30264021

#SPJ11

Consider the infinite geometric series infinity sigma n=1 -4(1/3)^n-1. In this, the lower limit of the summation notion is "n=1".

a. Write the first four terms of the series.

b. Does the series diverge or converge?

c. If the series has a sum, find the sum.

Answer: $40.50

Step-by-step explanation:

Since 15% of his total earnings was from raking leaves. The earning from taking leave will be:

= 15% × $90

= 0.15 × $90

= $13.50

Earnings from mowing lawns = $36

The earnings from walking dogs will be:

= $90 - $36 - $13.50

= $40.50

Consider presenting a particle moving through three dimensions as an illustration. Several x, y, and z-based equations could be used to describe its path.

There are two kinds of parametric equations which are frequently encountered in practical applications.

Circular  Motion:

In parametric equations that model circular motion, sine and cosine have periodic functions for x and y.

Projectile Motion:

The vertical component of projectile motion is quadratic, and the horizontal component is linear.

To know more about the parametric equations, here

https://brainly.com/question/28498229

#SPJ4

Answer:

x = -2/3; -20/9 so A

Step-by-step explanation:

im 100% percent sure:)

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

Know more about matrix here:

brainly.com/question/24079385

#SPJ4

Another name for a dependent samples t-test is a paired samples t-test. It is a statistical test used to determine if there is a significant difference between two related variables from the same sample.

A dependent samples t-test is a statistical test used to compare the means of two related variables from the same sample. It is used when the two variables being compared are dependent on each other, such as pre- and post-test scores for the same group of individuals or the same group of subjects being measured under different conditions.

The term "paired samples" refers to the fact that each observation in one sample is matched with a corresponding observation in the other sample, creating a pair. The dependent samples t-test is used to determine if the mean difference between the two variables is statistically significant, indicating that there is a significant change between the two related variables.

In conclusion, a dependent samples t-test is also known as a paired samples t-test, which is used to determine if there is a significant difference between two related variables from the same sample. The term "paired samples" refers to the matching of each observation in one sample with a corresponding observation in the other sample, creating a pair.

To learn more about t-test click here, brainly.com/question/1189751

#SPJ11

Answer:

11.

\(1 \times \frac{3}{8} \)

12.

\(2 \times \frac{5}{6} \)

Hello!

Let's identify the parts of all the algebraic expressions below.

Please remember that

#1:

4x+7y+8

Variables: x, y

Coefficients: 4, 7

Constant: 8

Number of Terms: 3

\(\rule{300}{1}\)

#2:

Variables: a, b, c

Coefficients: 9, 3

Constants: No constants here!

Number of terms: 3

\(\rule{300}{1}\)

#3:

Variables: d, x

Coefficients: 3, 1

Constant: 10

Number of terms: 3

_________________________________________

#4:

variables: x, y

coefficients: 2, 6

constant: 2

number of terms: 3

______________________________________

#5:

variables: b, c, d

coefficients: 8, -7, 11

constants: -5

number of terms: 4

________________________

#6:

variables: s, t

coefficients: 18, 2

constant: -8

number of terms: 3

Hope everything is clear.

Let me know if you have any questions!

#KeepOnLearning

:-)

Answer:

the answer is D. 40

Step-by-step explanation:

Exactly D

well i dont know why gram is non standard

hope it helps.

The correct answer is d. gram. The gram is indeed a metric unit; however, it is not considered a standard metric unit in the International System of Units (SI).

It is equal to one thousandth of a kilogram. The kilogram (a), meter (b), and second (c) are all standard metric units and form the basis of the International System of Units (SI). The kilogram is the unit of mass, the meter is the unit of length, and the second is the unit of time. These units are universally recognized and used in scientific, engineering, and everyday measurements.

Therefore, the gram (d) is the correct option as it is not considered a standard metric unit.

The rest of the options are as follows:

a. kilogram: The kilogram is the standard unit for mass in the International System of Units (SI). It is defined as the base unit for mass.

b. meter: The meter is the standard unit for length in the SI. It is defined as the base unit for length and is commonly used to measure distances.

c. second: The second is the standard unit for time in the SI. It is defined as the base unit for time and is commonly used to measure durations and intervals.

To know more about standard metric unit, refer here:

https://brainly.com/question/325888#

#SPJ11