Rosa graphs the line y = 3x + 5.then she dilates the line by a factor of 1/5 with (0,7) as the center of dilation .

Answer:

Step-by-step explanation:

Answer:

Five less than the product of ten and a number

The magnitude and direction of the vectors are

11.  <0,4> :

Magnitude = 4

Direction =  90°

12.  <-3,0>:

Magnitude = 3

Direction = 0°

13. <6,5>:

Magnitude = √(61)

Direction =  39.8°

14. <3,7>:

Magnitude = √58

Direction =  66.8°

15. <-2,1>:

Magnitude = √5

Direction =  -26.57°

16. <-10,13>:

Magnitude =  √(269)

Direction =  -37.57°

17. <2,-5>:

Magnitude = √(29)

Direction = -68.2°

18. <8,-4>:

Magnitude =  √(80)

Direction =  -26.57°

19. <-4.-6>:

Magnitude =  √(52)

Direction =  56.3°

20.  <-1,9>:

Magnitude = √(82)

Direction =  -83.66°

We are asked to find the magnitude and direction of the vectors given as <x, y>. We have the formulas for magnitude and direction of the vectors.

Magnitude = √(x²+y²)

and direction, θ = tan⁻¹(y/x)

11. The vector is <0,4>

Magnitude = √(0²+4²) = 4

Direction = tan⁻¹(4/0) = tan⁻¹∞ = 90°

12. The vector is <-3,0>.

Magnitude = √(-3²+0²) = 3

Direction = tan⁻¹(0/-3) = tan⁻¹0 = 0°

13.The vector is <6,5>

Magnitude = √(6²+5²) = √(61)

Direction = tan⁻¹(5/6) = 39.8°

14. The vector is <3,7>

Magnitude = √(3²+7²) = √58

Direction = tan⁻¹(7/3) = 66.8°

15.The vector is <-2,1>

Magnitude = √(-2²+1²) = √5

Direction = tan⁻¹(1/-2) = -26.57°

16.The vector is <-10,13>

Magnitude = √(13²+-10²) = √(269)

Direction = tan⁻¹(-10/13) = -37.57°

17.The vector is <2,-5>

Magnitude = √(2²+-5²) = √(29)

Direction = tan⁻¹(-5/2) = -68.2°

18.The vector is <8,-4>

Magnitude = √(8²+-4²) = √(80)

Direction = tan⁻¹(-4/8) = -26.57°

19.The vector is <-4.-6>

Magnitude = √(-4²+-6²) = √(52)

Direction = tan⁻¹(-6/-4) = 56.3°

20. The vector is <-1,9>

Magnitude = √(-1²+9²) = √(82)

Direction = tan⁻¹(9/-1) = -83.66°

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The expression or equation to represent the number of hat each shelter will receive is h = 1600 / 4

Algebraic expressions are the mathematical statement that we get when operations such as addition, subtraction, multiplication, division, etc. are operated upon on variables and constants.

To represent the amount each local shelter will receive, we can write an expression for that while the variable is present

The number of hats can be found by dividing the total number of hats collected by the number of local shelters.

Estimating the number of hats

1596 ≅ 1600

Number of hats (h) = 1600 / 4

h = 400

Each local shelter will receive 400 hats

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With the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

So, gallons of water used to wash 14 loads are:

Therefore, with the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

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Answer:

f(x)= 2x(x^3-6x^2+13)

Answer:

3.09

Step-by-step explanation:

21 - 17.91=3.09

This means that the difference between 17.91 and 21 is 3.09 which means for 17.91 to be equal to 21 you must add 3.09

Answer:

One hour ten minutes

Step-by-step explanation:

departing trains can empty it in 40 minutes.

entering travelers can fill a station in 30 minutes.

Time it will take travellers to fill the train

= Time for departing train + time for filling a station

= 40 minutes+ 30 minutes

= 70 minutes

= One hour ten minutes

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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Answer:

60.900

Step-by-step explanation:

All of the zero's are optional, i feel safer putting them.

Answer:

80 : n < 32

Step-by-step explanation:

100-20=80

The probability of the washers arranged by size is 2.755731 ( six decimal places).

Probability

We can arrange them in 10! = 3628800 different ways.

There is only one way to arrange them in size order.

The washers arranged by size have a probability of

1/3628800 = 2.75573192          

                   ≈ 2.755731 (six decimal places)          

Therefore, The probability of the washers arranged by size is 2.755731

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Answer:

Step 1,                 4=3(d+1)-5   should be 4=3d+3-5

Step-by-step explanation:

Answer:

y=3x-11

Step-by-step explanation:

Y = 3x-11    x=3

                  y= -2

y = 3(3) - 11

y = -2

Answer: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

c

Answer:

6 to right

Step-by-step explanation:

The value of y when x equals 0 on f(x) is 1. By looking at the graph of g(x), it looks like it reaches the value of y = 1 when x is 6. It also This means the same point is shifted over 6 to the right (considering it looks like no other modifications are made other than the shift).

Answer:

f(1·2)

Step-by-step explanation:

Subbing x=1 (f(1)) into the original function f(x)=a^x will give f(1)=a^1 which is simply equal to a. Therefore, if we were to do [f(1)]^2, we would just get a^2 because f(1) is equivalent to a. Out of the choice.s present, only f(1·2) is equal to a^2, because a^(1·2)=a^2

Answer:

-4.1

Step-by-step explanation:

5.7-9.8= -4.1

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

the answer is: q=3

start by combining like terms (13q - 9q) which would leave you with 4q + 5 = 17. subtract 5 from both sides and you're left with 4q = 12. divide by 4 on both side and you get q = 3

Answer:

q=3

Step-by-step explanation:

13q - 9q + 5 = 17

13q - 9q = 17 - 5

4q = 12

4q/4 = 12/4

q = 3

The cricketer's average for the last 10 innings was 15.67 runs per innings (approx.).

The average for the last 10 innings, we need to follow these steps:

Calculate the total runs scored in the first 20 innings. Total runs scored = Average * Number of innings = 15 * 20 = 300

Calculate the total runs scored in the next 10 innings. Total runs scored = Average * Number of innings = 17 * 10 = 170

Calculate the total runs scored in all 30 innings. Total runs scored = 300 + 170 = 47

Calculate the average for all 30 innings. Average = Total runs scored / Number of innings = 470 / 30 = 15.6

Calculate the total runs scored in the last 10 innings. Total runs scored = Average * Number of innings = 15.67 * 10 = 156.7 (approx.)

Calculate the average for the last 10 innings. Average = Total runs scored / Number of innings = 156.7 / 10 = 15.67

Therefore, the cricketer's average for the last 10 innings was 15.67 runs per innings (approx.).

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it's Q because the absolute value is 4.5

f(x, y) = 3x + 2y + C

To know if a vector field is conservative, we have to check if it is the gradient of a scalar function.

The gradient of the function f(x, y) is given by

∇f(x, y) = (∂f/∂x, ∂f/∂y)

If a vector field F(x, y) is the gradient of a scalar function f(x, y), then the following conditions must be satisfied:

F(x, y) = ∇f(x, y)

Whether a given vector field satisfies this condition can be checked by taking the partial derivative with respect to x and y.

∂F/∂x = ∂(6x + 5y)/∂x = 6

∂F/∂y = ∂(5x + 4y)/∂y = 4

The partial derivative of a given vector field is the constant, the gradient of the scalar function. So vector fields are conservative and we can find a potential function f(x, y) such that F(x, y) = ∇f(x, y).

To find the potential function, we can integrate the partial derivative of F(x, y) with respect to x and y.

f(x, y) = ∫∂F/∂xdx + ∫∂F/∂ydy

= ∫6dx + ∫4dy

= 3x + 2y + C

where C is the constant of integration. So the potential function for a given vector field is

f(x, y) = 3x + 2y + C

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If 24,783 is invested, part at 15% and the rest 9%. If the interest earned from the amount invested at 15% exceeds the interest earned from the amount invested at 9% by $894.09: 51,960 is invested at 15%, and 22,823 is invested at 9%.

Let's x represent the amount invested at 15%

Let the  amount invested at 9% = 24,783 - x.

Interest earned at 15% is 0.15 * x

Interest earned at 9% is 0.09 * (24,783 - x)

We can set up the equation: 0.15x = 0.09 * 24,783 - 0.09x + 894.09

Solving for x:

0.06x = 24,783 * 0.09 + 894.09

0.06x = 2223.47 + 894.09

0.06x = 3117.56

x = 51,960

So,

(24,783 - x)

24,783 - 51,960

= 22,823

Therefore 51,960 is invested at 15%, and 22,823 is invested at 9%.

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Answer:

NM

Step-by-step explanation:

The hypotenuse is always the longest side.

Explanation:

For any triangle, the longest side is always opposite the largest angle.

The set of ordered pairs above: is a function.

The mapping diagram above: is a function.

y = x²: is a function.

The table above: is not a function.

In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).

In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).

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Answer:

-3 - 9 = -12 BRAINLIEST PLSSS

Answer: $5400

Step-by-step explanation:

x =  amount raised so far

13500 - x = amt. still needed

x/3 = (13500 - x)/2

2x = 3(13500 - x)

2x = 40500 - 3x

5x = 40500

x = 40500/5 = 8100 (amt. raised so far)

13500 - 8100 = 5400 (amt. still needed)

Answer:

X + 15 < 9

x < 15 - 9

x < -6

Step-by-step explanation:

Hope you got it

Answer:

2 • (g - 2) • (4g + 3)

Step-by-step explanation:

Step by Step Solution

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STEP

1

:

Equation at the end of step 1

(23g2 - 10g) - 12

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

8g2 - 10g - 12 = 2 • (4g2 - 5g - 6)

Trying to factor by splitting the middle term

3.2 Factoring 4g2 - 5g - 6

The first term is, 4g2 its coefficient is 4 .

The middle term is, -5g its coefficient is -5 .

The last term, "the constant", is -6

Step-1 : Multiply the coefficient of the first term by the constant 4 • -6 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .

-24 + 1 = -23

-12 + 2 = -10

-8 + 3 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3

4g2 - 8g + 3g - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

4g • (g-2)

Add up the last 2 terms, pulling out common factors :

3 • (g-2)

Step-5 : Add up the four terms of step 4 :

(4g+3) • (g-2)

Which is the desired factorization

Final result :

2 • (g - 2) • (4g + 3)