Select each expression that has a value of 15 when x = 15.
A.
15 -
+ 10
B.
15,521 = x
C. (3,015 - x) - 186
D. 20x2 = 30
E
222
5
- 25

The percent decrease in the number of ponds that support brook trout would be approximately 47.37%.

To calculate the percent decrease in the number of ponds that support brook trout, we need to determine the difference between the initial number of ponds and the final number of ponds, and then express that difference as a percentage of the initial number of ponds.

Initial number of ponds: 19

Final number of ponds: 10

To calculate the percent decrease, we can use the following formula:

Percent Decrease = (Difference / Initial Value) * 100

Let's apply this formula to the given data:

Difference = Initial number of ponds - Final number of ponds

Difference = 19 - 10

Difference = 9

Percent Decrease = (9 / 19) * 100

Now, let's calculate the percent decrease:

Percent Decrease = (9 / 19) * 100

Percent Decrease ≈ 47.37%

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Answer:

55 degree

Step-by-step explanation:

sin(x) = 14/17

x = 55 degree

Answer:

1

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

distrubute the 2

2x + 1 = 2x -3

subtract the 2x's and you get 1 = -3 which is not true so there is no answer

The fraction represented by point A, it is crucial to have information about the scale, intervals, and the relative position of point A on the number line.

With these details, you can calculate the fraction accurately.

Point A on the number line represents a fraction that requires additional information to determine its precise value.

I can provide you with a general approach to finding the fraction corresponding to a given point on the number line.

A number line represents a range of values, typically with a specific scale or interval.

The scale can be divided into equal parts, such as units or fractions.

To determine the fraction represented by point A, we need to know the scale and the position of point A relative to that scale.

Let's consider a number line that ranges from 0 to 1, with evenly spaced tick marks representing tenths.

If point A is located halfway between the tick marks representing 0.4 and 0.5, then it represents the fraction 0.45 (or 9/20 in simplified form).

If the number line has a different scale or is divided into different intervals, the fraction represented by point A will be different.

Without specific details about the number line and the position of point A, it is impossible to determine the fraction precisely.

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The writer paid $8575 in federal income tax last year.

To get federal income tax paid by the grant writer, we have to get amount of income taxed at each tax rate and then sum up the respective amounts.

Income taxed at 10%:

= $8350 - $0

= $8350

Tax paid at 10% rate: 10% of $8350 = $835

Income taxed at 15%:

= $33,950 - $8350

= $25,600

Tax paid at 15% rate: 15% of $25,600 = $3840

Income taxed at 25%:

= $49,550 - $33,950

= $15,600

Tax paid at 25% rate: 25% of $15,600 = $3900

The total federal income tax paid is:

= $835 + $3840 + $3900

= $8575.

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Let's assume x gallons of milk containing 8% butterfat and y gallons of milk containing 2% butterfat are used.

The total amount of milk is x + y gallons, and we want it to be equal to 258 gallons.

To determine the amount of butterfat in the mixture, we can multiply the volume of each type of milk by its respective butterfat percentage and sum them up.

For milk containing 8% butterfat, the amount of butterfat is 0.08x (8% is equivalent to 0.08 as a decimal).

For milk containing 2% butterfat, the amount of butterfat is 0.02y (2% is equivalent to 0.02 as a decimal).

Since we want the final mixture to contain 7% butterfat, we can set up the following equation:

0.08x + 0.02y = 0.07(258)

Simplifying the equation, we have:

0.08x + 0.02y = 18.06

To solve for x and y, we need another equation. Since the total amount of milk is x + y = 258, we can rearrange it to y = 258 - x.

Substituting this value into the equation above, we get:

0.08x + 0.02(258 - x) = 18.06

Solving this equation will give us the values of x and y, which represent the gallons of milk containing 8% butterfat and 2% butterfat, respectively, needed to obtain the desired 258 gallons.

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Answer:

the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.

Step-by-step explanation:

o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").

Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:

m = -12% / 100 = -0.12

Answer:

d=56, a=129, b=17

Step-by-step explanation:

so 34+d = 90

d is 56

a would be 180-51(supplementary)

so a would be 129

for b, you have to add all 3 angles and they have to equal 180

so it would be 34+129+b=180

b would be 17

Answer:

16π ft²

Step-by-step explanation:

The formula is [ A = πr² ]

A = π(4)²

A = 16π

Best of Luck!

C 16

Step-by-step explanation:

i took the quiz

The ordered pairs that represent points on the graph of y = 2x - 3 are (0,-3), (5,7), (-2,-7), (2,1), and (4,5).

An ordered pair is a pair of numbers written in a specific order (x,y) that represents a point in the coordinate plane.

A graph is a visual representation of data or a mathematical function that is plotted on a coordinate plane, usually with an x and y-axis. It is used to analyze trends and relationships between variables.

According to the given information:

To determine whether a given ordered pair represents a point on the graph of the equation y = 2x - 3, we need to substitute the values of x and y into the equation and see if the equation is true.

a) (3,-3):

y = 2x - 3

-3 = 2(3) - 3

-3 = 3

This is not true, so (3,-3) is not on the graph.

b) (0,-3):

y = 2x - 3

-3 = 2(0) - 3

-3 = -3

This is true, so (0,-3) is on the graph.

c) (5,7):

y = 2x - 3

7 = 2(5) - 3

7 = 7

This is true, so (5,7) is on the graph.

d) (-2,-7):

y = 2x - 3

-7 = 2(-2) - 3

-7 = -7

This is true, so (-2,-7) is on the graph.

e) (2,1):

y = 2x - 3

1 = 2(2) - 3

1 = 1

This is true, so (2,1) is on the graph.

f) (4,5):

y = 2x - 3

5 = 2(4) - 3

5 = 5

This is true, so (4,5) is on the graph.

Therefore, the ordered pairs that represent points on the graph of the equation y = 2x - 3 are: (0,-3), (5,7), (-2,-7), (2,1), and (4,5). Answer: b), c), d), e) and f).

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Answer:

376.8

Step-by-step explanation:

Area of circle: A = πr^2 = π12^2 = 144π

Area of shade: A = (θ/360º) x πr^2 = (60/360) x 144π = 24π

Area not shaded = 144π - 24π = 120π = 120(3.14) = 376.8

Answer:

its 17 I have the same one I got my quiz and I saw that we had different answers and the only same one we had was 17

Step-by-step explanation:

We should add 25 both side by method of completing the square.

We have to given that;

A student is solving the problem

x² + 10x + _ = 16 + _

Now, We can completing the square as;

⇒ x² + 10x + 5² = 16 + 5²

⇒ x² + 10x + 25 = 16 + 25

⇒ (x + 5)² = 16 + 25

Hence, We should add 25 both side by method of completing the square.

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The rigid motion of the solid line figure is translated to the dotted line figure.

Translation describe a function that moves an object a certain distance.

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation

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When the matrix of linear system is reduced to its  row-echelon form we discover that

1. This matrix has one solution.
2. The solution is x = -2, y = -5, z = 3. Since there are no free variables in this system, it's not possible to express the solution in terms of z as a parameter

To help us solve for the linear system and express the solution in terms of z, we need to use Gaussian elimination to row-reduce the given augmented matrix to its row-echelon form

For the matrix -2 6 -7 -47

                        2 -7 -3 22

                        6 -4 -6 -10

   -1/2 × R₁                                    1/2 × R₂

1   −3   7/2   47/2                    1    −3    7/2   47/2

2  −7   −3      22                     1   −7/2  −3/2   11

6  −4   −6    −10                      6   −4    −6    −10  

   1/6 × R₃                               R₂ - 1 × R₁  

1    −3    7/2   47/2              1    −3    7/2   47/2

1   −7/2  −3/2    11                0   -1/2   -5    -25/2

1   −2/3    −1   −5/3              1   −2/3    −1   −5/3

R₃  - 1 × R₁                                     -2 × R₂

1    −3    7/2   47/2                     1    −3    7/2   47/2

0   -1/2   -5    -25/2                    0    1     10     25

0    7/3   -9/2  -151/6                  0   7/3  -9/2  -151/6

3/7 × R₃                                            R₃ - 1 × R₂      

1    −3    7/2   47/2                       1    −3    7/2   47/2

0    1     10      25                          0    1     10      25

0     1  -27/14  -151/14                   0     0  -167/14  -501/14

  -167/14 × R₃                            R₂ - 10×R₃

1    −3    7/2   47/2                     1    −3    7/2   47/2

0    1      10    25                         0    1      0    -5

0     0      1     3                           0     0      1     3

R₁ - 7/2 × R₃                            R₁ + 3 × R₂

1    −3    0   13                      1    0   0   -2

0    1      0   -5                      0    1    0   -5

0     0      1     3                     0   0    1     3

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The cost of 20 T-Shirt will be 2560 when cost of one t-shirt is 128.

When a selling price and profit are provided, cost price equals selling price plus profit. When the selling price and loss are disclosed, cost price equals selling price plus loss.

Profit is calculated as S.P. - C.P. If the selling price is less than the cost price, the difference between the two is the loss incurred. Loss is also equal to C.P. - S.P.

We must divide the gross profit by the entire revenue for the year, multiply by 100, and then find the gross profit margin. We must divide net income (or net profit) by the entire annual revenue before multiplying the result by 100 to get the net profit margin.

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The distance traveled by airplane is 180 miles.

The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°

The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.

Then, the total distance traveled by airplane will be:

= 100 miles + 80 miles = 180 miles.

The speed can be defined as the distance traveled by the total time taken.

Speed = distance/time

Speed = 180 miles/ 1 hour

Speed = 180 miles/60 minutes

Speed = 3 miles per minute

The angle of direction from its origin will be:

tan (x) = 100 miles/80 miles

x = tan⁻¹ ( 100/80)

x = tan⁻¹ ( 10/8) =  tan⁻¹ ( 5/4)

x = 51.34°

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The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Answer:

4

Step-by-step explanation:

The equation is

x^2 - (2x + 8) = 0   where x is the number to be found.

removing the parentheses by distributing the negative:-

x^2 - 2x - 8 = 0

(x - 4)(x +2) = 0

x =  4, -2.

The value of x  must be 4 because it is positive.

1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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Reason: The two line segments CF and AH point in the same direction, and they never intersect. Therefore, we consider them parallel.

Skew lines are ones that point in different directions. An example of a pair of skew lines would be AB and DE. Skew lines never intersect, but we don't consider them parallel.

52.4744174417441… is a rational number because it can be expressed as the ratio of two integers: 524691.7 and 9999.

A rational number is one that can be represented as the product of two numbers with a non-zero denominator. Integers, fractions, terminating decimals, and repeating decimals are all examples of rational numbers. A rational number can either have its decimal representation end, as in the instance of 1/2 = 0.5, or it can repeat a pattern of digits, as in the case of 1/3 = 0.3333. Irrational numbers, on the other hand, have decimal representations that do not end or recur and cannot be stated as the ratio of two integers. The square root of 2, pi, and e are a few examples of irrational numbers.

The given rational number is x = 52.4744174417441….

Now, x as a ratio of two integers is shown as:

10000x = 524744.1744174417…

Subtract x from both sides:

9999x = 524691.7

x = 524691.7/9999

Hence, 52.4744174417441… is a rational number because it can be expressed as the ratio of two integers: 524691.7 and 9999.

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Answer:

r =13

Step-by-step explanation:

on the picture

If it's helpful ❤❤

THANK YOU.

Answer:

the minimum number of bits needed for quantization is 7

Step-by-step explanation:

Given the data in the question;

if quantization is Δv, then the maximum quantization Error is Δv/2

now if we split up the whole range  from -\(m_{p}\) to \(m_{p}\) evenly into L levels, so

Δv = \(2m_{p}\) / L

Δv / 2 = \(m_{p}\) / L

given that the error must be at most 1% of \(m_{p}\),

1%\(m_{p}\) = \(m_{p}\) / L

1/100 × \(m_{p}\) = \(m_{p}\) / L

100 = L

now L must be a factor of 2 to be binary encoded,

so lets consider;

L = 128

2ⁿ = 128¹

2ⁿ = 2⁷

n = 7

Therefore, the minimum number of bits needed for quantization is 7

Answer:

Step-by-step explanation:

m∠GEH = m∠FH - m∠FEG

m∠GEH = 180 - 64 = 116°

The clockwise measure of arc angle ZX will be twice the measure of angle XYZ

ZX = 2(76) = 152

Arc length XYZ = 360 - 152 = 208°

The rate of interest is given by the equation R = 3.5 %

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the rate of interest be represented as R

Now , the simple interest I = $ 175

The principal amount invested P = $ 2,500

The time period T = 2 years

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Rate of Interest = (Simple Interest x 100 ) / Principal Amount x Time Period )

Substituting the values in the equation , we get

Rate of Interest R = ( 175 x 100 ) / ( 2500 x 2 )

Rate of Interest R = 17500 / 5000

Rate of Interest R = 3.5 %

Hence , the interest rate is 3.5 %

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Using proportions, supposing their parents gave each of them $10 and each pizza costs $12, it is found that the maximum number of pizzas they can order to stay within their budget is of 4.

A proportion is a fraction of a total amount.

In this problem, we suppose that each of the five people got $10, hence they combined to get $50, as 5 x 10 = $50.

Also supposing that each pizza costs $12, we have that:

50/12 = 4.17.

Hence, the maximum number of pizzas they can order to stay within their budget is of 4.

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Answer:

-5+12=7

Step-by-step explanation:

the second option is adding two negatives, which sums up to -17 rather than -7

Answer:

zinc is 20grams

Step-by-step explanation:

Given data

Ratio copper :zinc = 3:2

Copper =30 grams

Applying the ratio

3/2=30/x

Cross multiply

3x=30*2

3x=60

Divide both sides by 3

x=60/3

x=20

Hence zinc is 20grams

Answer: q=13

Step-by-step explanation:

add the separate the q, add 4 to the 9= 13

13=q