EASYY MATH QUESTIon50 POINTS
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Ok so i bought 10,000 stickers for 12$ . How much did EACH sticker cost me

Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

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The correct pairings are:

a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

b) Five times the difference of a number squared and six: 5(n² - 6)

c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

d) O twice the difference of nine and a number squared: 2(9 - n²)

The correct pairings of descriptions and expressions are as follows:

Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.

Five times the difference of a number squared and six: 5(n² - 6)

This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.

Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.

O twice the difference of nine and a number squared: 2(9 - n²)

This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.

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In a hypothetical situation, an incorrect dosage calculation due to an error in metric system to Imperial System conversion could lead to potential harm to the patient. To avoid such errors, it is crucial to ensure accurate and precise conversions between the metric and Imperial systems. As a nurse, I will double-check my calculations, use reliable conversion charts or tools, and consult with colleagues or supervisors when in doubt. Additionally, ongoing education and training on dosage calculations and metric system conversions will be important to maintain proficiency and prevent errors in the future.

~~~Harsha~~~

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

Increasing 2400 by 5% gives us 2520

we can increase the value by using the formula:

\(initial value+ percentage increase *initial value\) = increased percentage

in the aforementioned question we have

initial value = 2400

percentage increase = 5%

thus we can find out the increased percentage by:

2400 + 2400 X (5/100)

=2400 + 120

=2520

the value by which 2400 is increased is 120

to arrive at the increased value which is 2520

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Answer:

3.35

Step-by-step explanation:

just adding fractions

Answer:  The volume of a sphere can be calculated using the formula:

V = (4/3) * π * r^3

Where V is the volume, π is the mathematical constant pi (approximately equal to 3.14), and r is the radius of the sphere.

Given that the radius of the soccer ball is 5 inches, we can plug this value into the formula:

V = (4/3) * 3.14 * (5 inches)^3

V = (4/3) * 3.14 * 125 inches^3

V = 523.3 inches^3

So, the volume of the soccer ball with a radius of 5 inches is 523.3 inches cubed. The correct answer is D. 523.3 inches cubed.

Step-by-step explanation:

Answer:

Isosceles right triangle

Step-by-step explanation:

Right isosceles has a 90° degree angle with two other sides 45° each

===========================================================

Explanation:

Sides AB and AC are the same length (5.61), so the triangle is isosceles. If all three sides were the same, then it would be equilateral, but side BC is a different length of the first two sides mentioned. If all sides were different, then the triangle would be scalene.

Angle A is 90 degrees, making it a right angle. That means triangle ABC is also a right triangle. The triangle would be acute only when all three angles are less than 90. If any angle is greater than 90, then the triangle is obtuse.

So put together, triangle ABC is both isosceles and a right triangle, or in short we could say "triangle ABC is an isosceles right triangle".

The surface area of 1 cylindrical-shaped benches is 25.12 feet². The total surface area of 10 cylindrical-shaped benches is 251.2 feet².

What is cylindrical-shaped?

One of the most fundamental curvilinear geometric shapes, a cylinder has traditionally been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In many contemporary branches of geometry and topology, a cylinder can also be defined as an infinitely curvilinear surface.

Given that

There are 10  cylindrical-shaped benches.

The diameter of the cylinder is 2 feet.

The radius of a shape is half of its diameter.

The radius of the cylinder is 2/2 = 1 foot.

The height of the cylinder is 3 feet.

The surface area of a cylinder is 2πr(h+r).

r = radius

h = height

The surface area of a cylinder is

2π×1(3+1)

= 25.12 feet²

The surface area of 10 cylinder is

=  25.12 feet² × 10

=  251.2 feet²

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Marcos is buying paint to cover 10 cylindrical-shaped benches. Each bench has a diameter of 2 feet and a height of 3 feet. How many square feet need to be painted in all? Round to the nearest tenth.

Answer:

Since Khrysteen is paid semimonthly, she receives 24 paychecks in a year (12 months x 2 pay periods per month).

To calculate her annual pay, we can multiply her semi-monthly pay by the number of paychecks she receives in a year:

Annual pay = Semi-monthly pay x Number of paychecks in a year

Annual pay = $1,978.50 x 24

Annual pay = $47,484

Therefore, Khrysteen's annual pay is $47,484.

Hope This Helps!

Answer:

-7

Step-by-step explanation:

The numerical coefficient of \( - 7yz^2 \) is - 7.

The coefficient of -7yz² is -7

In the given equation,

                                  5x⁶÷3xy-7yz²+2y÷z

the coefficient is -7 , because the coefficient is the constant term of an expression.

A numerical coefficient is a constant multiplier of the variable in a term. And here, -7 is preceded by -7yz²

Hence it is the numerical coefficient.

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By applying the concept of corresponding angles in similar triangles, we were able to establish the value of x as 25 in the given scenario.

In the given problem, we are provided with information about the angles in two similar triangles: triangle ABC and triangle STU. It is stated that angle UTS in triangle STU is 100 degrees, and since corresponding angles of similar triangles are congruent, we can conclude that angle STU is also 100 degrees.

Next, we examine angle BAC in triangle ABC, which is given as 4x. Using the same logic, we know that angle BAC is also congruent to angle STU. Therefore, we can equate the two angles:

angle BAC = angle STU

4x = 100

To find the value of x, we divide both sides of the equation by 4:

x = 100/4

x = 25

Hence, we determine that x is equal to 25. This method allows us to leverage the known information about one triangle to infer the measurements of corresponding angles in the other similar triangle.

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Question A is the survey that you expect to have fair results regarding attitudes about carnivals

This survey question is the most neutral and fair among the options provided. It doesn't include any leading or biased language that may influence the respondent's answer.

Option B uses the adjective "exciting," which could lead people to think positively about carnivals.

Option C brings in the unrelated factor of "traveling across town," which could negatively influence the response based on travel preference rather than attitude towards carnivals. Option D uses negative descriptors "noisy" and "overpriced," which could lead people to think negatively about carnivals.

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The position of  √17 between 4 and 5, which is nearer 5, and the location of 6, which is between 2 and 3, which is nearer 2.

A visual representation of real numbers in a linear manner is a number line. It is a straight line that is divided into intervals or segments, each of which stands for a distinct real number value.

Number lines can be vertical or horizontally oriented, and they can also have a positive or negative orientation. Positive numbers often extend to the right or up, whereas negative numbers typically extend to the left or down. The origin of the number line, or zero, is typically situated in the middle of the line.

The number line is a crucial tool in mathematics since it offers a means of representing numerical relationships visually and carrying out fundamental arithmetic operations. For instance, positive and negative motions along a number line can be used to depict addition and subtraction, respectively, with positive movements denoting addition and negative movements denoting subtraction. On a number line, multiplication and division can alternatively be shown as repeated addition or subtraction.

If we have a number line with the proper markings, we may indicate where the square roots of 17 and 6 are located as follows:

To begin, determine the approximate square root values:

√17 is between 4 and 5, since 4² = 16 and 5² = 25.

√6 is between 2 and 3, since 2² = 4 and 3² = 9.

Place the number √17 closer to 5, between 4 and 5.

Place the number √6 between the numbers 2 and 3, closer to 2.

Since 6 and 17 are not integers and their values are not evenly spaced, it should be noted that their markings will not be evenly spaced on the number line.

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Number line attached below,

Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.

The mean refers to the average value.

The average is the quotient of the total value divided by the number of items in the data set.

The number of boys in the class = 26

The number of girls in the class = 20

The total number of boys and girls in the class = 46

The mean number of counters that the boys have = 28

The total number of counters that the boys have = 728 (28 x 26)

The mean number of counters that the girls have =19

The total number of counters that the girls have = 380 (19 x 20)

The total number of counters that the class has = 1,108 (728 + 380)

The average or mean number of counters in the class = 24 (1,108 ÷ 46)

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Answer:

2143.57 cm^3

Step-by-step explanation:

the formula for the volume of a sphere is (4/3)pi*r^3. plug 8cm in for r to get (4/3)*3.14*8^3=2143.57

Answer:

(3x+2)(x-5)

Step-by-step explanation:

Factor by grouping

\(3x^2-13x-10\\=3x^2-15x+2x-10\\=3x(x-5)+2(x-5)\\=(3x+2)(x-5)\)

Step-by-step explanation:

To find the next term or number, we'll need to keep subtracting 5. So the formula is: n-5

i) the original distance when the lighthouse is due West of the ship is 7 km

ii) The time in minutes when the lighthouse is due West of the ship is 21 minutes

iii) The distance in km of the ship from the lighthouse when the lighthouse is due West of the ship is 29.97 km

To solve this problem, we'll use the concepts of relative velocity and trigonometry. Let's break down the problem into three parts:

i) Finding the original distance when the lighthouse is due West of the ship:

The ship's velocity is given as 21 km/h at a bearing of 052°. Since the ship observed the lighthouse due North, we know that the angle between the ship's initial heading and the lighthouse is 90°.

To find the distance, we'll consider the ship's velocity in the North direction only. Using trigonometry, we can determine the distance as follows:

Distance = Velocity * Time = 21 km/h * (20 min / 60 min/h) = 7 km (to three significant figures).

ii) Finding the time in minutes when the lighthouse is due West of the ship:

To find the time, we need to consider the change in angle from 052° to 312°. The difference is 260° (312° - 052°), but we need to convert it to radians for calculations. 260° is equal to 260 * π / 180 radians. The ship's velocity in the West direction can be calculated as:

Velocity in West direction = Velocity * cos(angle) = 21 km/h * cos(260 * π / 180) ≈ -19.98 km/h (negative because it's in the opposite direction).

To find the time, we can use the formula:

Time = Distance / Velocity = 7 km / (19.98 km/h) = 0.35 h = 0.35 * 60 min = 21 minutes (to three significant figures).

iii) Finding the distance in km of the ship from the lighthouse when the lighthouse is due West of the ship:

We can use the formula for relative velocity to find the distance:

Relative Velocity = sqrt((Velocity in North direction)² + (Velocity in West direction)²)

Using the values we calculated earlier, we have:

Relative Velocity = sqrt((21 km/h)² + (-19.98 km/h)²) ≈ 29.97 km/h (to three significant figures).

Therefore, the ship is approximately 29.97 km away from the lighthouse when the lighthouse is due West of the ship.

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The 55th term of the arithmetic sequence is 131.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

Given that, the nth term of the sequence is aₙ= -1+3(n−1)

Here, the 55th term in the sequence is

a₅₅= -1+3(55-1)

= -1+132

= 131

Therefore, the 55th term is 131.

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Answer:

The data that we have is:

Carrots = 84

Turnips = 25

Both = 17

Neither = 15

Root vegetables = 84 + 25 - 17 + 15 = 107

"a" is the percentage of carrots that also are turnips.

we know that 17 carrots are also turnips. so the relative frequency is:

17/107 = 0.158, in percent form this can be rounded to 16%.

b is the number of NOT carrots, that also are turnips.

This will be equal to the 25 turnips minus the 17 turnips that also are carrots

25 - 17 = 8

So we have 8 turnips that are not carrots.

Then we have:

b = 8/107 = 0.075

rounded to the nearest percent we get b = 8%.

So the values do not coincide with the options, and neither some of the data, for example the carrots that are not turnips are:

84 total carots, 17 of them are turnips, so we have 84 - 17 carrots that are not turnips:

84 - 17 = 67

then the relative frequency is:

P = 67/107 = 0.626, rounded to the nearest percent we get 63%

So there may be a number wrong in the diagram.

Answer:

B edg a=12% b=18%

Step-by-step explanation:

Answer:

b. 4

c. 90⁰

Step-by-step explanation:

a. is in the diagram

Answer:

-5 and -The zeros of a parabola are the points on the parabola that intersect the line y = 0 (the horizontal x-axis). Since these points occur where y = 0,

Answer:

Step-by-step explanation:

(0,0)

i hope this helps

Ahem, here goes, my attempt at a minute-long rap in praise of the parallelogram:

Yo, listen up, the parallelogram is where it's at,

A shape so brilliant, the angles are sat.

Parallel sides that never converge,

Internal angles that never diverge.

Each side an equal length,

A geometry prodigy's dream length.

The diagonals intersect, another line through the middle they meet,

Creating symmetry so neat.

A rectangle it could be,

But it's oblong, not square, can't you see?

With depth and width in perfect balance we see,

A two-dimensional form of complexity.

While the square is simple, the parallelogram is hip,

A mathematical masterpiece, skip, skip, skip!

four right angles keep the shape so tight,

Parallel lines dominate left and right.

Rotated or reflected without a care,

Its structural integrity beyond compare.

triangles form at each corner you'll note,

Acute or obtuse, depends on the protractor's groove.

A versatile shape with reason and purpose galore,

The parallelogram, simply, carries the floor.

From geometry to art, its angles they intrigue,

As a basis for patterns, its potential we can truly plug.

A forgotten form that deserves more acclaim,

Put the parallelogram on geometry's game!

This shape so underrated, rarely appreciated it seems,

But with logic and virtue, strong foundations it gleams.

The parallelogram, the parallelogram, Hooray!

This is why the parallelogram is the best shape, I say!

9514 1404 393

Answer:

  a) R = 40x -0.1x²

  b) loss: x < 90 or x > 260; profit: 90 < x < 260; break-even: x = 90 or 260

  c) P(x) = -0.1x² +35x -2340

  d) P'(75) = 20, decrease in loss by selling one more item

Step-by-step explanation:

a) Revenue is the product of number sold (x) and the price at which they are sold (p(x)).

  R(x) = x·p(x) = x(40 -0.1x)

  R(x) = -0.1x² +40x

__

b) The break-even points are the values of x where revenue is equal to cost.

  R(x) = C(x)

  -0.1x² +40x = 5x +2340

  0.1x² -35x +2340 = 0 . . . . . . subtract the left-side expression

  x² -350x +23400 = 0 . . . . . . multiply by 10

  (x -90)(x -260) = 0 . . . . . . . . . factor

  x = 90, x = 260 . . . . . . . . . values of x to break even

The company will break even with sales of 90 or 260 units.

The company will profit with sales between 90 and 260 units; it will have a loss for sales less than 90 or greater than 260 units.

__

c) Profit is the difference between revenue and cost.

  P(x) = R(x) -C(x)

  P(x) = -0.1x² +35x -2340 . . . . . . . the opposite of C -R in part (b)

__

d) Marginal profit is the derivative of the profit function.

  P'(x) = -0.2x +35

Then for 75 units, the marginal profit is ...

  P'(75) = -0.2×75 +35 = -15 +35 = 20

The marginal profit at x=75 is 20. The increase in profit from sale of 1 more unit is $20 when the number of units sold is 75.

Answer:

£39.95

Step-by-step explanation:

multiply it by £7.99×5