a convex mirror, like the passenger-side rearview mirror on a car, has a focal length of -2.8 m. an object is 5.6 m from the mirror.

Answer:

Step-by-step explanation:

Answer:

(x - 5)² + (y + 13)² = 121

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (5, - 13 ) and r = 11 , then

(x - 5)² + (y - (- 13))² = 11² , that is

(x - 5)² + (y + 13)² = 121

A z-score of 0 indicates that the person's score is equal to the mean, so they are right at the Average Performance level.the z-score of a person who scored 300 on the exam is 0.

The z-score of a person who scored 300 on the exam, we can use the formula:

z = (x - μ) / σ

where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

In this case, the person scored 300 on the exam, which is equal to the mean (μ). Therefore, we can substitute these values into the formula:

z = (300 - 300) / 40

Simplifying the equation, we have:

z = 0 / 40

Since any number divided by zero is undefined, we can conclude that the z-score of a person who scored 300 on the exam is 0.

The z-score measures the number of standard deviations a data point is away from the mean. In this case, a z-score of 0 indicates that the person's score is equal to the mean, so they are right at the average performance level.

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Applying the system of equations given, we can conclude that: a. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

To solve the system of equations, let's substitute the value of x from the first equation into the second equation:

x = 4y

8 + 2y = 4y

Simplifying the equation, we get:

8 = 2y

Dividing both sides by 2:

4 = y

Now, substitute the value of y back into the first equation to find x:

x = 4y

x = 4(4)

x = 16

Therefore, Nikhil has been employed by the company for 16 years, and Mae has been employed for 4 years.

The correct answer is option a. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

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Answer: 4x - 2 = 3x + 1

Your welcome you can thank me later <3

Answer:

50

Step-by-step explanation:

because forty is eighty percent of 50

Answer:

{x,y}={7,-2}

Step-by-step explanation:

     3x - 2y = 25

     -5x + 2y = -39

 [2]    2y = 5x - 39

 [2]    y = 5x/2 - 39/2

// Plug this in for variable  y  in equation [1]

  [1]    3x - 2•(5x/2-39/2) = 25

  [1]    -2x = -14

// Solve equation [1] for the variable  x

  [1]    2x = 14

  [1]    x = 7

Answer:

-1 5/12

Step-by-step explanation:

1 1/2+3/4÷(−1/3)−2/3

3/2-2/3+3/4*3/-1

9-4/6-9/4

5/6-9/4

20-54/24

-34/24

-17/12

-1 5/12

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is: ∠A = 39.6°

3) The length of side x is: x = 39.5 mm

The six trigonometric ratios of a right angle triangle are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

cot x = 1/tan x

sec x = 1/cos x

cosec x = 1/sin x

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is gotten from:

∠A = cos⁻¹ (47/61)

∠A = 39.6°

3) The length of side x using trigonometric ratios is:

21/x = tan 28

x = 21/tan 28

x = 39.5 mm

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$225 was earned from the craft sales

and $40 was earned from the play.

Given, During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play admissions.

Of each dollar earned, $0.15 came from games. Craft sales earned 3 times as much as games. Food sales were 4 times the amount earned from the play.

Let the amount earned by play be x,

Now, Games earned = 0.15×500 = $75

Also, crafts earned 3×75 = $225

Now, as play earned x, then food earned 4x.

According to question,

x + 75 + 225 + 4x = 500

5x + 300 = 500

5x = 200

x = 40

So, the amount earned by Play be, $40

and the amount earned by Food be $160.

Hence, $225 was earned from the craft sales

and $40 was earned from the play.

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Answer:

daymn

it's gonna be okay

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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For a line with a slope a and a known point (h, k), the point-slope form is:

y = a*(x - h) + k

A general linear equation can be written in slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that a line passes through a point (h, k), then the point-slope form of that line is:

y = a*(x - h) + k

Notice that particularly, the y-intercept can be written as (0, b), then the slope-intercept form is also a point-slope:

y = a*(x - 0) + b

y = a*x + b

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Answer:

A=1/2PA

Step-by-step explanation:

DO THE FORMULA

The equation is correct, and the value on both sides of the equation is 40.

To verify if the equation 90 × 4/9 = 40 is true, we can perform the calculation on both sides and compare the results.

On the left side of the equation:

90 × 4/9 = (90 × 4) / 9 = 360 / 9 = 40

On the right side of the equation:

40

Both sides of the equation evaluate to 40, which means they are equal. Therefore, the equation 90 × 4/9 = 40 is indeed true.

In summary, the equation is correct, and the value on both sides of the equation is 40.

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=[2\(x^{2}\)-y][3a-4b] This is the factorized form of 6a\(x^{2}\)-3ay - 8 b\(x^{2}\) + 4by

To factorize a number, use the factorization formula. Factorization is the process of dividing a whole into components that, when multiplied together, equal the original number. The factorization approach simplifies any algebraic or quadratic equation by using the basic factorization formula, which represents the equations as the product of factors rather than expanding the brackets. Any equation may have an integer, a variable, or the algebraic expression itself as a factor.

6a\(x^{2}\)-3ay - 8 b\(x^{2}\) + 4by

Rearrange the expression

6a\(x^{2}\) -8bx² -3ay +4by

2\(x^{2}\)[3a-4b] - y[3a-4b]

=[2\(x^{2}\)-y][3a-4b]

This is the factorized form of 6a\(x^{2}\)-3ay - 8 b\(x^{2}\) + 4by

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Answer:

Additive inverse of (5-6) is (6-5),

------------------------------

So:

(5-6)+(6-5)=0

5-6+6-5=0

5-6=-6+5

-------------------------

Left <--- -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6 ---> Right

Move 5 places to the right of -6 and you should land on -1.

Answer:B

Step-by-step explanation:

Step-by-step explanation:

This is a circle with center, h,k = 3,2 and radius = 2

   circle equation is   ( x-h)^2 + (y-k)^2 = r^2

so:

(x-3)^2 + (y-2)^2 = 4

The amount owed in 5 years with monthly compounding, considering a $19,000 personal loan with a 15% interest rate, will be $34,558.52.

1. Convert the interest rate to a decimal: 15% = 0.15.

2. Determine the number of compounding periods: Since the loan compounds monthly, multiply the number of years by 12. In this case, 5 years * 12 months/year = 60 months.

3. Calculate the monthly interest rate: Divide the annual interest rate by 12. In this case, 0.15 / 12 = 0.0125.

4. Use the compound interest formula to calculate the future value:

  Future Value = Principal * (1 + Monthly Interest Rate)^(Number of Compounding Periods)

  Future Value = $19,000 * (1 + 0.0\(125)^{(60\))

5. Evaluate the expression inside the parentheses: (1 + 0.0\(125)^{(60\)) ≈ 1.954503.

6. Multiply the principal by the evaluated expression: $19,000 * 1.954503 = $37,133.57 (unrounded).

7. Round the final answer to the nearest cent: $34,558.52.

Therefore, in 5 years with monthly compounding, the amount owed on the $19,000 personal loan will be approximately $34,558.52.

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Check the picture below.

so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.

\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)

now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.

So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark  happened between 0 and 5 seconds.

Number of 20-cent coins in the box are 33.

1. Let's assume the number of 20-cent coins to be x and the number of 50-cent coins to be y.

2. We can set up two equations based on the given information:

  - x + y = 54   (since the total number of coins in the box is 54)

  - 0.20x + 0.50y = 20.70   (since the total value of all the coins is $20.70)

3. We can multiply the second equation by 100 to get rid of the decimals:

  - 20x + 50y = 2070

4. Now, we can use the first equation to express y in terms of x:

  - y = 54 - x

5. Substitute the value of y in the second equation:

  - 20x + 50(54 - x) = 2070

6. Simplify and solve for x:

  - 20x + 2700 - 50x = 2070

  - -30x = -630

  - x = 21

7. Substituting the value of x back into the first equation:

  - 21 + y = 54

  - y = 33

8. Therefore, there are 21 20-cent coins and 33 50-cent coins in the box.

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Answer:

constant is - 19

Step-by-step explanation:

the constant is the term in an expression with no variable attached to it.

12r + \(\frac{r}{2}\) - 19

the only term without the variable r attached to it is - 19

then the constant term is - 19

Answer:

A is answer

Step-by-step explanation:

Cuz once you solve it isn't a fraction any more

I think

Answer:

im about 90% sure its 32

Step-by-step explanation:

The given derivative is:

Integrate w. r. t. theta to get:

Use the formulae given by:

To get the solution as follows:

The given point is P(pi/4,2) so it follows:

Substitute the value to get the required answer as follows:

The above function is the required answer.

Answer:

The slower ship is going 240 mph

The faster ship is going 260 mph

Step-by-step explanation:

midnight to 8 am is 8 hours, the distance shortened between the ships each hour was 500 miles so if the slower ship's speed is x and the faster ship's speed is y:

x + y = 500

and the question tells us that

x + 20 = y

Using the substitution method we can substitute the y in the first question for the second's.

x + (x + 20) = 500

solve:

x + x + 20 = 500

2x + 20 = 500

2x + 20 - 20 = 500 - 20

2x = 480

(2x) / 2 = 480 / 2

x = 240

Now that we have x we can now substitute the x into the second equation

(240) + 20 = y

260 = y

y = 260

And after adding the unit of measurement (Miles Per Hour) we get the speed of the slower ship (x) to be 240 MPH, and the speed of the faster ship (y) to be 260 MPH.

Answer: D. 1440cm

Step-by-step explanation:

volume=lengthxwidthxheight

8x15x12=1440

Answer:

no that is not a solution

Step-by-step explanation:

12-x=x or 12-3=3 is not a solution because the answer doesnt make the equation