Round these numbers to 1
decimal place.
6.43
N
13.16
26.45
154.283
282.449
0.24​

Step-by-step explanation:

a. For any function, in order for a vertical stretch to happen, a must be greater than 1 so the answer to a is

a>1.

b. For b, the graph will compress when a is between 0 and 1 but not equal to both.

So the answer to. b is

0<a<1.

c.A vertical stretch happens when a>1, a horinzontal compression also happens when a>1, if you confused let me explain

Consider the graph above. Let say we have a quadratic function

\((x - 3) {}^{2} \)

Let that be the parent function, if we stretch the function, a must be greater than 1 as we established in a.

In the fist picture, let say a=2.7

The function is stretched in the vertical direction

Now, let say if we affect x.

Here, let a=2.7 we know have

The function is being compressed when a>1, so that means that

we stretched vertically or compressed horizontally when a>1. It depends on the location of a. If a is outside the parenthesis, we will stretch by a factor of a. If a is I side the parenthesis, we will compress by a factor of a.

d. A must be negative or a<0

Answer:

8

Step-by-step explanation:

The answer is 8 because there are 2 possibilities for each coin you flip heads and tails  so if you flip three coins all at once you get 2*2*2, which equals to 8.

I hope this help!

Answer:

20

Step-by-step explanation:

side BC = side AB

so their base angles that is ∠A = ∠C = (3x+20)°

now, total measure of the angles of a triangle is 180° & ∠B = x°

Now,

m∠A + m∠B + m∠C = 180

⇒ 3x + 20 + x + 3x + 20 = 180

⇒ 7x + 40 = 180

⇒ 7x = 140

⇒x = 20

The given expression is factored as \(4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)

Given expression: \(28v^{7}x^{3}y^{6}-12v^{9} x^{9}\)

In order to factorize the given expression, take out the common terms and then simplify further.

\(28v^{7}x^{3}y^{6}-12v^{9} x^{9}=4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)

In mathematics, a factor is a divisor of a given integer that divides it exactly, leaving no leftover.

A number can have either positive or negative factors.

A number has a finite number of factors.

A number's factor will never be more than or equal to the provided number.

Every number contains at least two factors, 1 and the actual number, with the exception of 0 and 1.

Finding a number's factors involves using the division and multiplication operations.

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Answer:

Step-by-step explanation:

15 into 300 is 20

300÷ 15 = 20

Answer:

At 4 hours both options will be $16.00

Step-by-step explanation:

Answer:

83 kilometres per hour =

51.574 miles per hour

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

Step-by-step explanation:

The answer must include the package, and how much of each item added to that original price. This is what C shows.

The original 128 dollars.

The price of the Chicken platters times how many they ordered.

The price of the Burger platters times how many they ordered.

The price of the Souvenir cups times how many they ordered.

Answer: A.)X< -1 & E.)X>1

Step-by-step explanation:I got this question right on the assignment.

Answer:

x <  -1 and x > 1

Step-by-step explanation:

The function is decreasing where the slope is negative.

The graph of the translated function is g ( x ) = ( x + 5 )² + 2

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x²

On simplifying , we get

The function is translated 5 units to the horizontal left direction:

And , when the function is translated 2 units in the vertical upward direction:

So , the translated function is

g ( x ) = ( x + 5 )² + 2

Now , the vertex of the function g ( x ) = ( x + 5 )² + 2 is (-5, 2)

Hence , the graph of the function is plotted and g ( x ) = ( x + 5 )² + 2

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

The unit rate for Option A is $4.4 per pound of gummy bears.

The unit rate for each option is a mathematical expression that compares two quantities of different measures by dividing one quantity by the other.

The unit rate is used to determine how much an item costs per unit of measure.

To find the unit rate for each option, we can use the following formula: Unit rate = price ÷ weight Option A: $15.40 for 3.5 lbs of gummy bears Unit rate = 15.40 ÷ 3.5Unit rate = $4.4 per pound of gummy bears.

Therefore, the unit rate for Option A is $4.4 per pound of gummy bears.

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Here is the complete question given below:

The unit rate for each option. 9. Option A: $15.40 for 3.5 lbs of gummy bears. $7.65 for 1.8 Ibs of gummy bears.

Answer:

every equation has at least 2 numbers and has a answer.

Step-by-step explanation:

Complementary angles add up to 90°, write an equation using this knowledge and the information provided in the question:

66°+x° = 90°

Subtract 66° from both sides:

x° = 24°

Answer:

x = 61

Step-by-step explanation:

x and 29 are complementary angles  so they add to 90 degrees

x+29 = 90

Subtract 29 from each side

x+29-29 = 90-29

x = 61

Answer:

61 degrees = x

Step-by-step explanation:

Since angle measures x and 29 are complementary angles, subtract 29 from 90 degrees.

90 - 29 = 61 degrees is the value of x

Answer:

x = 8, m2 = 78, m4 = 102, m6 = 78, m7 = 78,

Step-by-step explanation:

Answer:

yes, they are proportional

Step-by-step explanation:

6/9 is just three time as big as 2/3 but they are basically the same fraction

Answer:

Step-by-step explanation:

yes, it is proportional

6/9 = 2/3

18 = 18

The value of x will be 18.67 for the given data of the triangle.

We have,

Thale's theorem:

When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.

Given that the sides of the triangle are divided into two parts,

For the left part the parts will be x and x + 7 for the right side the parts will be 16 and 22.

The ratio will be the same according to Thale's theorem. The value of x will be calculated as:-

x / ( x + 7 ) = 16 / 22

22x = 16x + 112

6x = 112

x = 112 / 6

x = 18.67

Therefore, the value of x will be 18.67.

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complete question;

Find the values of x and y. Find value of x.

Answer:

Step-by-step explanation:

Adults = x, Children =y

3y=x

Answer:

{-5, -1, 2}

Step-by-step explanation:

domain is the inputs or x numbers

Answer:

18. 84 ft² or 18.85 ft² when rounded to the nearest tenth

Step-by-step explanation:

2πrh+2πr²

2× 3.14 × 1 × 2= 12.56

2 × 3.14 × 1² = 6.28

12.56 + 6.28 = 18.84

Have a great day :)

Answer:

18.85 \(ft^2\\\)

*You should run the numbers yourself as well. Sometimes different calculators will get marginally different numbers or use a different rounding for \(\pi\) that gives a slightly different answer*

Step-by-step explanation:

Surface area of a cylinder: \(2\pi rh+2\pi r^2\)

Where h is the height and r is the radius. Remember that the radius is half the diameter, and the diameter is a straight line that passes through a circle.

I could be wrong, but I think you had the correct equation but used the diameter in stead of the radius to get 50.36.

Radius: 1   Height: 2

Plug numbers into equation:

\(A=2\pi (1)(2)+2\pi (1)^2= 18.8495. . .\)

I hope that helps!

Answer:

Yes, it is possible. We already know that complex roots exist in conjugate pair but the case is true only when the equation has real coefficients. But on the other hand, if the equation has complex coefficients, then it is possible to attain one real and one complex root.

Answer:

a. 400

b. 4$

Step-by-step explanation:

2$ equals 0 Quantity

3$ equals 100 Quantity

4$ equals 200 Quantity

We can see that starting from 2$, a dollar will increase the Quantity by 100

An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.

In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.

Order-Preserving Function:

A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.

Increasing Function:

If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).

Isomorphism:

A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:

a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).

b. f is onto (surjective): Every element in Q has a pre-image in P.

When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.

Automorphism:

An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.

These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.

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Answer:

50.06

Step-by-step explanation:

he does have enough money!!!

Answer:

Yes, Jorge has $4.84 left.

Step-by-step explanation:

The video game is $66.75 and 25% off

66.75 - 16.6875 =

Video game cost $50.06

After buying the video game Jorge has $4.84 left

54.90 - 50.06 = 4.84

a) The distance from point P to the pole  is: 6.2 m

b) The height of the Pole is: 6.2 m

The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.

Now, we are given that:

The angle of elevation of the top of the pole =  45°

Angle of elevation of the top of the pole = 58°.

|PQ|= 10m

a) PR is distance from point P to the pole and using trigonometric ratios, gives us:

PR/sin 58 = 10/sin(180 - 58 - 45)

PR/sin 58 = 10/sin 77

PR = (10 * sin 58)/sin 77

PR = 8.7 m

b) P O can be calculated with trigonometric ratios as:

P O = PR * cos 45

P O = 8.7 * 0.7071

P O = 6.2 m

Now, the two sides of the isosceles triangle formed are equal and as such:

R O = P O

Thus, height of pole R O = 6.2 m

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The adjusting journal entry will include a debit to the allowance for credit losses of R4,400.

the correct answer is C. debit to allowance for credit losses of R4,400.

To determine the adjusting journal entry for J&amp;L Electrical Services, we need to calculate the ending balance of accounts receivable and the necessary adjustment for the allowance for credit losses.

Beginning balance of accounts receivable: R200,000

Services delivered on credit: R660,000

Collections from debtors: R640,000

To find the ending balance of accounts receivable, we subtract the collections from the sum of the beginning balance and services delivered on credit:

Ending accounts receivable = (Beginning balance + Services delivered) - Collections

Ending accounts receivable = (R200,000 + R660,000) - R640,000

Ending accounts receivable = R220,000

Now, we need to calculate the adjustment for the allowance for credit losses. J&amp;L Electrical Services estimates that 2% of the ending accounts receivable will not be collected:

Allowance for credit losses adjustment = Ending accounts receivable * Estimated uncollectible percentage

Allowance for credit losses adjustment = R220,000 * 2% = R4,400

Since the allowance for credit losses has a beginning balance of R4,000, we need to increase it by R4,400 to match the estimated uncollectible amount:

the correct answer is C. debit to allowance for credit losses of R4,400.

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In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.  

According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:

n(x) = n' · (1 - r)ˣ

Where:

If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:

n(6) = 4400 · (1 - 0.0725)⁶

n(6) = 2801.149

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