Consider the following functions:=f(x) = (x – 2 and g(x) = 4.Step 1 of 3 : Find four ordered pairs that satisfy the function, f(x) = Vx-2AnswerD.D]

Answer:

1) Since Manuel bought 9 pounds and ate 3/4 of 1 pound, he has 8.25 pounds left   (9  - 0.75  = 8.25)

 2) Let's call "x" the cost of 1 pound of apples

 3) (8.25)*(x) = $15

 4) x = $1.81818    rounded to the nearest dollar is $2 / pound

Answer:

1.5

Step-by-step explanation:

Answer:

$1.50

Step-by-step explanation:

do 6 divided by 4

The correct answer is (2) 2. This means that the rate of change of the vector function h(t) at t=1 is a constant vector with magnitude 2.

The vector-valued function h(t) is defined as h(t) = ⟨tet, t^2et⟩. To find h'(1), we need to take the derivative of h(t) with respect to t, and then evaluate it at t=1.

Taking the derivative of h(t), component-wise, we get:

h'(t) = ⟨(te^t + e^t), (2te^t)⟩

Now, we can evaluate h'(1) by plugging in t=1:

h'(1) = ⟨(1e^1 + e^1), (2(1)e^1)⟩ = ⟨2e, 2e⟩

Since both components of h'(1) are equal, we can write it as:

h'(1) = 2⟨e, e⟩

Since the dot product of two equal vectors is equal to the square of their magnitude, we have:

h'(1) = 2||⟨e, e⟩||^2 = 2||e||^2 = 2

Therefore, the correct answer is (2) 2. This means that the rate of change of the vector function h(t) at t=1 is a constant vector with magnitude 2. This implies that the direction of the vector is not changing, but only its magnitude is increasing or decreasing at a constant rate.

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When ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.

We are given that ab = 0, where a and b are variables or numbers.

According to the zero-product property, if the product of two factors is equal to zero, then at least one of the factors must be zero.

In our case, we have ab = 0. This means that the product of a and b is equal to zero.

To satisfy the condition ab = 0, at least one of the factors (a or b) must be zero. If either a or b is zero, then when multiplied with the other factor, the product will be zero.

It is also possible for both a and b to be zero, as anything multiplied by zero gives zero.

Therefore, based on the zero-product property, we can infer that either a = 0 or b = 0 when ab = 0.

In summary, when ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.

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The number of pennies they lose altogether is 288 pennies.

How to find the number of pennies they lost together?

Together, Katya and Mimi have 480 pennies in their piggy banks.

Therefore, there total amount of pennies is 480.

After Katya loses 1/2 of her pennies and Mimi loses 2/3 of her pennies, they have an equal number of pennies left.

Therefore,

let

x = number of pennies Katya have

y = number of pennies Mimi have

Hence,

x + y = 480

x = 480

Katya pennies left = x - 1 / 2x = 1 / 2x

Mimi pennies left = y - 2 / 3 y = 1 / 3 y

1 / 2 x  = 1 / 3 y

2y = 3x

y = 3  / 2 x

Substitute the value in equation(i)

x + 3 / 2 x  = 480

2.5x = 480

x = 480 / 2.5

x = 192

Therefore,

192 + y = 480

y = 480 - 192

y = 288

The number of pennies they lose can be calculated as follows;

Katya losses = 1 / 2 × 192 = 96

Mimi losses = 2 / 3 × 288  = 192

Therefore, they lost 96 + 192 = 288 pennies altogether.

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Answer:

The first choice

Step-by-step explanation:

Since 5 represent the amount of GB Jordan uses, we don't know how much they use, we just know that's the amount so now we know g has to be next to 5. But we need have to multiply in order to get the total because $20 dollars is the original price, it's just we have to multiply the amount of GB they use because it would give us the total, thus making no sense if we divide. So it has to the the first choice.

The missing information in the proof is a which is option A.

Given d is the mid point of ab and e is the mid point of ac. Coordinates are point a (2b,2c), point e (ab, c), point c (2a, 0),point b (0,0), point d (b, c).

We have to find the missing proof in the solution.

To find the missing figure we have to just find the distance between point d and point e.

Distance formula for determining the distance between two points on a coordinate plane is given as :

d=\(\sqrt{(y_{2} -y_{1} )^{2} +(x_{2} -x_{1} )^{2} }\)

where (\(x_{1} ,y_{1} ) (x_{2} ,y_{2} )\) are the coordinates at the end of line.

DE=\(\sqrt{(a+b-b)^{2} +(c-c)^{2} }\)

Simplifying this we get:

DE=\(\sqrt{(a^{2} +0^{2} }\)

=\(\sqrt{a^{2} }\)

=a

Hence the missing proof is a which is the distance or length of DE..

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Answer:

perimeter =22m

area=28square meter

perimeter of rectangle=4l

22m=4l

22÷4=l

5.5=l

l=5.5m

area of rectangle =l×b

28=5.5×b

28÷5.5=b

5.09=b

b=5.09m

length =5.5m and breadth =5.09m answer !!!!

Answer: 10.75 inches

Step-by-step explanation:

Given information:

First hour = + 18 1/2 (forward)

Second hour = - 13.5 (backward)

Third hour = + 46/8 (forward)

Given expression deducted from the questions

Total Distance = First hour + Second hour + Third hour

Substitute values into the expression

Total Distance = 18 1/2 + (-13.5) + 46/8

Convert to decimals

Total Distance = 18.5 - 13.5 + 5.75

Simplify by subtraction/addition

Total Distance = 5 + 5.75

Total Distance = \(\boxed{10.75\:inches\\}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

.....?....................

The numerical length of RT will be 20.

A line segment in geometry is bordered by two separate points on a line.

A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in any direction.

Given data in problem is;

ST=3x-8

RT = 4x

RS = 4x - 7

From the given line segment;

RT = RS +ST

4x =  4x - 7 + 3x-8

3x-8 = 7

3x=8+7

3x=15

x=5

The numerical length of RT is found as;

RT = 4x

RT= 4 × 5

RT = 20

Hence, the numerical length of RT will be 20.

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Answer:

Step-by-step explanation:

First, find yourself a map. Then, using two points, find both the distance on the map and the true distance. Next, you divide the true distance by the measured map distance, and find your scale. Last, you need to place that ratio onto your map.

The values of the equivalent expressions are 0, -2, 0, 0, 2 and 2 respectively.

To find equivalent expressions, we can use the property of additive inverses, which states that the sum of a number and its additive inverse is always equal to zero. That is:

a + (-a) = 0

We can use this property to rewrite the expressions as follows:

a. 3 + (-3) = 0

b. 3 - 5 = 3 + (-5) = -2

c. 3 + (-3) = 0

d. -3 + 3 = 0

e. -3 + 5 = 2

f. 5 - 3 = 5 + (-3) = 2

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In statistics, the percentile is a measure that indicates the value below which a given percentage of observations fall. For instance, the 75th percentile represents the value below which 75% of the observations lie.

Therefore, to find the score on the statistics exam that is the 75th percentile, we need to identify the value below which 75% of the scores lie.

In this case, we know that the scores on the exam are normally distributed with a mean of 75 and a standard deviation of 8. Using this information, we can use a normal distribution table or calculator to find the z-score associated with the 75th percentile, which is 0.674. We then use this z-score to calculate the corresponding score on the exam using the formula:

score = z-score * standard deviation + mean

Plugging in the values, we get:

score = 0.674 * 8 + 75

score = 80.392

Therefore, a score of 80.392 is the 75th percentile on the statistics exam.

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Answer:

4th dot

Step-by-step explanation:

because

the repayment period for the R5 000 loan at 12% interest, with a total repayment amount of R 8 360, is 24 months (or 2 years).

Repaying a loan involves paying back the money you borrowed from a lender plus any relevant interest. The repayment plan often consists of a set process (referred to as a loan payback schedule) in the form of equivalent monthly installments, or EMIs.

To calculate the repayment period for the R5 000 loan, we need to use the formula for calculating the monthly payment of a loan:

Monthly Payment = [P x R x (1+R)ⁿ] / [(1+R)ⁿ - 1]

where:

P = principal amount (the amount of the loan)

R = monthly interest rate (annual interest rate divided by 12)

n = total number of payments

We know that the principal amount of the loan is R5 000, and the new interest rate is 12%. To find the monthly interest rate, we divide the annual interest rate by 12:

R = 12% / 12 = 0.01

We also know that the total repayment amount is R 8 360.

Thus, the total number of payments (n) using the formula:

n = log(1 + R / (A / P - 1)) / log(1 + R)

where:

log = logarithm

A = total repayment amount

P = principal amount

R = monthly interest rate

Plugging in the values we have, we get:

n = log(1 + 0.01 / (8360 / 5000 - 1)) / log(1 + 0.01)

n ≈ 23.89

Therefore, the number is 24. This means that the repayment period for the R5 000 loan at 12% interest, with a total repayment amount of R 8 360, is 24 months (or 2 years).

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Therefore, the limit of the given expression as x approaches 0 is 3125/120.

First, we will find the Maclaurin series for sin(5x). The Maclaurin series for sin(x) is given by:
sin(x) = x - (x^3)/6 + (x^5)/120 - ...
So, the Maclaurin series for sin(5x) is:
sin(5x) = 5x - (5x)^3/6 + (5x)^5/120 - ...
Now, substitute this into the expression and simplify:
lim (sin(5x) - 5x + 125x^3/6) / x^5 as x→0
lim (5x - (5x)^3/6 + (5x)^5/120 - 5x + 125x^3/6) / x^5 as x→0
lim (-(5x)^3/6 + (5x)^5/120 + 125x^3/6) / x^5 as x→0
Now, divide each term by x^5:
lim (-5^3x^2/6 + 5^5x^0/120 + 125x^(-2)/6) as x→0
As x approaches 0, x^(-2) approaches infinity, and 5^5x^0 approaches 5^5. Therefore:
lim = -125/6 + 5^5/120
Combine the terms:
lim = (5^5 - 125*20) / 120
lim = 3125 / 120

Therefore, the limit of the given expression as x approaches 0 is 3125/120.

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Answer:

Median: 54

hence calculate its coefficient

0,18

Answer:

  x = 10

Step-by-step explanation:

You want to find the value of x, where a chord of segment lengths 9 and x crosses a chord of segment lengths 6 and 15.

The product of the segment lengths is the same for intersecting chords:

  9x = 6·15

  x = 90/9 . . . . divide by 9

  x = 10

The value of x in the given 45-45-90 triangle is 9.89.

The given triangle is a right-angled triangle which can be solved using the Pythagoras theorem. The Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the base and the square of the perpendicular. This theorem can be applied to all right-angled triangles.

In the given triangle, we have been told that the length of both legs is 7. Now, after applying the theorem -

= 7²+7² = H²

= 49 + 49 = H²

= 98 = H²

= √98 = H

= 9.89 = H

Hence, this is the value of x.

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The area of a circle with radius 4 is 50.24.

Writing the equation form for area and radius of two circles -

(Area/radius²) for circle 1 = (Area/radius²) for circle 2

Keep the values in the relation to find the area of small circle.

314/10² = Area/4²

Area = (314 × 16)/100

Performing multiplication on Right Hand Side of the equation to find the area of circle

Area = 5024/100

Performing division on Right Hand Side of the equation to find the area of circle

Area = 50.24

Hence, we see the decrease in area based on decrease in radius. Thus, the area of circle is 50.24.

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The solution to given system of equations are x = -1, y = 1 and z = 5 which is determined by the substitution method.

The given system of equations below as

4x – 2y + 3z = 9  ....(i)

x - 2y = -3             ....(ii)

2x + 3y = 1            ....(iii)

By equation (ii) and solving for x to get

x - 2y = -3

x = 2y - 3    ....(iv)

Substitute the value of x = 2y - 3 in the equation (iii)

2(2y - 3) + 3y = 1

4y - 6 + 3y = 1

7y = 7

y = 1

Substitute the value of y = 1 in equation (iv) to get,

x = 2(1) - 3

x = -1

Substitute the values of x = -1 and y = 1 in equation (i), and solve for z

4(-1) – 2(1) + 3z = 9

-4 - 2 + 3z = 9

3z = 15

z = 5

Therefore, the solution to given system of equation are x = -1, y = 1 and z = 5.

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The graphs of y = 1/2x - 10 - 3 and y = 1/x are different in shape and behavior, and their only similarity is that they are both continuous functions.

What is a graph ?

Graph can be defined as visual representation of data using ordered pairs.

The graphs of y = 1/2x - 10 - 3 and y = 1/x have different shapes and behaviors.

The graph of y = 1/2x - 10 - 3 is a linear function with a slope of 1/2 and a y-intercept of -13. This means that the graph will have a constant slope of 1/2, and will be downward sloping from left to right. As x increases, y decreases at a steady rate.

On the other hand, the graph of y = 1/x is a non-linear function that is a hyperbola. This means that the graph will be curved and will have two branches, one in the first quadrant and the other in the third quadrant. The graph will approach the x and y-axes but will never touch them. The curve will be symmetric about the line y = x, which means that for every point (x, y) on the graph, there will be a corresponding point (y, x) on the graph.

Therefore, the graphs of y = 1/2x - 10 - 3 and y = 1/x are different in shape and behavior, and their only similarity is that they are both continuous functions.

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To pass the given 3 tables to 3NF using Armstrong's Axioms, you need to follow a step-by-step process.

1. Identify the functional dependencies: Analyze the given tables to determine the functional dependencies between the attributes. Functional dependencies represent the relationships between the attributes.
2. Create the minimal cover: Use Armstrong's Axioms to reduce the functional dependencies to their minimal form. This involves removing redundant dependencies and combining overlapping ones.
3. Decompose the tables: Decompose the original tables into smaller tables, ensuring that each table represents a single theme or concept. The goal is to eliminate any partial dependencies.

4. Resolve transitive dependencies: Check for transitive dependencies, where an attribute depends on another attribute through a third attribute. If transitive dependencies exist, further decompose the tables until they are eliminated.
5. Verify 3NF compliance: Finally, ensure that all the tables satisfy the third normal form (3NF) requirements. Each non-key attribute should be dependent only on the key attribute(s) in a table.
By following these steps, you can successfully pass the given 3 tables to 3NF using Armstrong's Axioms.

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Answer:

The side of square A is 30 cm.

Step-by-step explanation:

Given that,

The dimensions of square A are three times the dimensions of square B.

The area of square A is 900 sq cm.

Side of square A = 3( side of square B)

Let the side of square B is b. So,

Side of square A, a = 3b

We know that, the area of square is side². So,

\((3b)^2=900\\\\9b^2=900\\\\b^2=100\\\\b=10\ cm\)

Side of square A, a = 3(10) = 30 cm

Hence, the side of square A is 30 cm.