18 people entered the race 2 people didn’t finish what is the ratio of those who finished the race to those that entered

Kayla has to purchase [tex]6[/tex] packs of cupcakes, and the dressmaker can make [tex]5[/tex] copies of the pattern.

Provide a discount on a third element in exchange for the first item's purchase, also known as purchase with purchase. Although it may also encourage sales of the side product, its primary goal is to increase sales of the main products.

The purchase accounts is a nominal account, and as per nominal account rules, business costs are debited. All purchases made on credit are noted in the purchase diary, whilst purchases made with cash are noted in the cash book.

number of packs [tex]=[/tex] (total number of cupcakes) / (number of cupcakes in each pack)

We know that there are [tex]34[/tex] people attending the party

total number of cupcakes [tex]= 34[/tex]

Plugging this into the formula above, we get:

number of packs [tex]= 34 / 6 = 5.67[/tex]

Therefore, Kayla should buy [tex]6[/tex] packs of cupcakes.

number of pattern cuts [tex]=[/tex] (total amount of material) / (amount of material used for each pattern)

We know that the seamstress has [tex]4.5m[/tex] of material and each pattern uses [tex]0.8m[/tex] of material, so we can plug these values into the formula above:

number of pattern cuts [tex]= 4.5 / 0.8 = 5.625[/tex]

Therefore, the seamstress can cut out the pattern [tex]5[/tex] times.

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Answer:

Step-by-step explanation:

1. 1 - 408

2. 15/136

3. 1/2

4. 24%

Answer:

it would be 70months when rounded up.

Step-by-step explanation:

if not then 69months 7days

Answer:

We know that the formula for the circumference (C) of a circle is:

C = 2πr

where r is the radius of the circle.

We are given that the circumference is 8πm, so we can write:

8πm = 2πr

Simplifying this equation by dividing both sides by 2π, we get:

r = 4m

Now that we know the radius of the circle, we can use the formula for the area (A) of a circle:

A = πr^2

Substituting the value we found for r, we get:

A = π(4m)^2

Simplifying this equation, we get:

A = π(16m^2)

A = 16πm^2

Therefore, the area of the circle is 16πm^2. The answer is C

Answer: 32 times

Step-by-step explanation:

there are 4 laps on a track to reach a mile

4x8=32

Answer:

to find the height of the storage unit, we can use the formula for volume:

Volume = length x width x height

We know that the volume needs to be 400 cubic ft, the width is 10ft and the length is 8ft. So, we can plug in these values and solve for the height:

400 = 8 x 10 x height

400 = 80 x height

height = 400/80

height = 5 ft

Therefore, the height of the storage unit needs to be 5 ft.

Therefore, the general solution for the differential equation dy/dx cosx=ysinx+sin113x is y = log |sin(x) / sin(113x)| + C, where C is an arbitrary constant.

A differential equation explains the unknown derivative or derivatives of a function. Example: Think about the equation. The equation d y d x = x sin represents the derivative of an unknown function.

We can solve this differential equation by using separation of variables.

First, we'll rearrange the equation to isolate the y term on one side:

cos x = y sin x + sin 113x

cos x - sin 113x = y sin x

y = (cos x - sin 113x) / sin x

Now we can integrate both sides with respect to x:

∫dy = ∫(cos x - sin 113x) / sin x dx

Using integration by parts, we can integrate the second term on the right side:

∫dy = ∫cos x / sin x dx - ∫sin 113x / sin x dx

The first term on the right side can be integrated using substitution:

u = sin x, du/dx = cos x dx

∫cos x / sin x dx = ∫du/u = log |u| + C1 = log |sin x| + C1

The second term on the right side can be rewritten as:

∫sin 113x / sin x dx = - ∫sin 113x / sin 113x cos x dx

= - ∫csc x cos 113x dx

Using substitution again:

u = sin 113x, du/dx = 113 cos 113x dx

∫csc x cos 113x dx = - ∫du/u = - log |sin 113x| + C2

y = log |sin x| - log |sin 113x| + C

Simplifying:

y = log |sin(x) / sin(113x)| + C

Therefore, the general solution for the differential equation dy/dx cosx=ysinx+sin113x is y = log |sin(x) / sin(113x)| + C, where C is an arbitrary constant.

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Answer:

Step-by-step explanation:

Combine like terms to create an equivalent expression.[tex]\frac{9}{8} m + \frac{9}{10} - 2m - \frac{3}{5}[/tex] then we formed the equation is [tex]= \frac{1}{8} m - \frac{3}{50}[/tex]

When two expressions can be reduced to a single third expression or when one of the statements can be expressed in the same way as the other, they are said to be equivalent. When values are replaced for the variables and both expressions yield the same result, you may also tell if expressions are equal.

The final response is 2 x - 2; alternatively, you might write 2 x - 3. The ultimate response is -2 point to the right. You could see that choice d is right in this case.

In this expression, we have two terms with the variable m: [tex]9/8 m[/tex] and [tex]-2m[/tex]. We can combine these by subtracting [tex]2m[/tex] from [tex]9/8 m[/tex], which gives us [tex]1/8 m[/tex].

We also have two constant terms: [tex]9/10[/tex] and [tex]-3/5[/tex]. We can combine these by adding them, which gives us [tex]-3/50[/tex].

Putting it all together, we get:

[tex]\frac{9}{8} m + \frac{9}{10} - 2m - \frac{3}{5} = \frac{1}{8} m - \frac{3}{50}[/tex]

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Answer:-7/8m+3/10

Step-by-step explanation:

From the quadratic equation, we found the new dimensions:

Length =  14.85 feet

Width = 18.85 feet.

What is a quadratic equation?

The polynomial equations of degree two in one variable of type

f(x) = ax² + bx + c = 0 and with a, b, c, ∈ R and a ≠ 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" is for the absolute term of

f (x).

The current dimensions of the farm are 10 feet by 14 feet.

Length l = 10 feet

Width w = 14 feet

Area a = l * w = 10 * 14 = 140 sq. feet.

Now the new area is doubled.

A = 2a = 2 * 140 = 280 sq.feet

The new dimensions are:

L = l + x = 10 + x

W = w + x = 14 +x

A = (10+x)(14+x)

280 = 140 + 10x + 14x + x²

x² + 24x - 140 = 0

This is a quadratic equation.

Solving the equation, we get

x = 4.85, -28.85

Neglecting the negative value, we get the value of x as 4.85.

Therefore from the quadratic equation, we found the new dimensions:

L = 10 + 4.85 = 14.85 feet

W = 14 + x = 14 + 4.85 = 18.85 feet.

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Correct option is D, The perimeter of the trapezoid J K L M is units 9 + StartRoot 2 EndRoot + StartRoot 5 EndRoot units (= 9 + √5 + √2 units. )

The length of a two-dimensional shape's boundary is its perimeter. It is frequently referred to as the sum of the lengths of the sides of the object. Such shape's perimeter is equal to the side lengths added together algebraically. We have formulas for the various geometric shapes.

The vertices of KLMN an isosceles trapezoid are (-7,4), (-4,4), (-2,3), (-8,3).

perimeter of trapezoid JKLM = sum of sides

Using distance formula [tex]\sqrt{(x2-x2)^2 + (y2 - y1)^2}[/tex],

Distance between the sides of trapezoid is,

(-7,4), (-4,4) =

[tex]\sqrt{(-7 + 4)^2 + (4 - 4)^2}\\= \sqrt{9}\\= 3 units[/tex]

(-4,4), (-2,3) =

[tex]\sqrt{(-2 + 4)^2 + (3 - 4)^2}\\= \sqrt{5} units[/tex]

(-2,3), (-8,3) =  

[tex]\sqrt{(-8 + 2)^2 + (3-3)^2}\\= \sqrt{6}^2\\= 6 units[/tex]

(-7,4), (-8,3)

[tex]\sqrt{(-8 +7)^2 + (3-4)^2}\\= \sqrt{-1^2 + -1^2}\\= \sqrt 2 $ units $[/tex]

So, the sum of sides will be -

= 3 + √5 + 6 + √2

= 9 + √5 + √2 units.

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Answer:

its D

Step-by-step explanation:

i took the test on edg

The probabilities of picking the real numbers are 0.52 and 0.88, respectively

The probabilities in this case, is the area covered by each region

Using the above as a guide, we have the following:

Real number between 3 and 5

Here, we have the area to be

Region B

The area of region B is 0.56

So, we have

Probability = 0.56

Real number between 3 and 7

Here, we have the area to be

Region B and Region C

The areas of these regions are 0.56 and 0.32

So, we have

Probability = 0.56 + 0.32

Probability = 0.88

Hence, the probability is 0.88

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Answer:

  g(x) = 2x²

Step-by-step explanation:

You want the vertical dilation of function f(x) = x² by a factor of 2.

Any function is dilated vertically by a factor of k by multiplying the function value by k:

  g(x) = k·f(x) . . . . . . dilates f(x) vertically by a factor of k

  g(x) = 2x² . . . . . . dilates f(x) = x² vertically by a factor of 2

Answer: a) To find the number of working days on which under 18,000 bottles are filled, we need to calculate the z-score for this value:

z = (18,000 - 20,000) / 2000 = -1

Using a standard normal distribution table or calculator, we find that the probability of a value being less than -1 standard deviation is approximately 0.1587. Therefore, the approximate number of working days on which under 18,000 bottles are filled is:

0.1587 x 260 ≈ 41

b) To find the number of working days on which over 16,000 bottles are filled, we need to calculate the z-score for this value:

z = (16,000 - 20,000) / 2000 = -2

Using a standard normal distribution table or calculator, we find that the probability of a value being less than -2 standard deviations is approximately 0.0228. Therefore, the approximate number of working days on which over 16,000 bottles are filled is:

0.0228 x 260 ≈ 6

c) To find the number of working days on which between 18,000 and 24,000 bottles are filled, we need to calculate the z-scores for these values:

z1 = (18,000 - 20,000) / 2000 = -1

z2 = (24,000 - 20,000) / 2000 = 2

Using a standard normal distribution table or calculator, we find that the probability of a value being less than -1 standard deviation is approximately 0.1587, and the probability of a value being less than 2 standard deviations is approximately 0.9772. Therefore, the approximate number of working days on which between 18,000 and 24,000 bottles are filled is:

(0.9772 - 0.1587) x 260 ≈ 236

Step-by-step explanation:

Answer:

D-The data in Sample B is clustered around the center where Sample A is more spread out

Step-by-step explanation:

maybe sorry if wrong

Hence, 7200 units were produced throughout the period equivalently as WIP multiplied by the percentage of completion.

The percentage sign (%) is used to indicate it. When a student receives a score of 80% on a test, for instance, it signifies that 80 of the 100 questions were properly answered by the student. Alternatively, the result can also be expressed as a fraction of 80/100, or as 0.8 in decimal form. In order to express a portion or component of a whole, percentages are utilized. It is a practical technique to contrast values of various magnitudes on an equivalent scale.

given

The steps to determine the equivalent production are as follows:

Total units input: 8000

A typical loss is 400 units, or 5% of 8000 units.

Consider there to be no anomalous loss because none has been reported.

Counted in total units: 8000 - 400 = 7600 units

Units completed: 7600 less 1000 (closing WIP) equals 6600 units.

Equivalent production equals completed units plus closing WIP multiplied by the percentage of completion, which equals 6600 + 1000 x 60%, or 6600 + 600, or 7200 units.

Hence, 7200 units were produced throughout the period equivalently as WIP multiplied by the percentage of completion.

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She has 7 gallons of gas after driving for 2 hours.

What is Subtraction?

Subtraction is a mathematical operation that involves finding the difference between two numbers or quantities. It is the inverse of addition, which means that it is the opposite process of adding numbers.

In subtraction, a number or quantity (called the subtrahend) is subtracted from another number or quantity (called the minuend), resulting in the difference. The symbol used for subtraction is "-" and the resulting value is called the remainder or difference.

Katie had 12 gallons of gas.

She used 2 1/2 gallons of gas each hour.

Now, She drove 2 hours.

So, gallon of gas use for 2 hours = 2 × 2 1/2

                                                       = 2 × 5/2

                                                       = 5 gallons of gas.

Now, Gallons of gas left after 2 hours

        = total gallons of gas - Gallons used for 2 hours

        = 12 - 5

        = 7.

Hence, She is left with 7 (12-5) gallons of gas.

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Answer:

Here'd how to do problems like these. For example with #1 in your image (below)

Step-by-step explanation:

The sum of the series with the general terms k + 2 from k= 1 to k= 5

All you have to do is plug in all the numbers WITHIN the interval so in this case it would be 1,2,3,4, &5. After you plug in each of those numbers into the equation, you add them up.

Like so:

(1) + 2= 3

(2) + 3= 5

(3) + 3 = 6

(4) + 3 = 7

(5) + 3 = 8

3+5+6+7+8= 30

Answer:

? ≈ 58°

Step-by-step explanation:

since all 3 sides of the triangle are given, we can use any of the 3 trigonometric ratios.

using the sine ratio

sin ? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{45}{53}[/tex] , then

? = [tex]sin^{-1}[/tex] ( [tex]\frac{45}{53}[/tex] ) ≈ 58° ( to the nearest degree )

Answer:

58°

Step-by-step explanation:

[tex]sin(?)=\frac{45}{53}[/tex]

[tex]?=sin^{-1} (\frac{45}{53})[/tex]

[tex]?=sin^{-1} (0.8491)[/tex]

[tex]?=58.1^{0}[/tex]

Hope this helps.

Function is increasing in the domain of interval (1, ∞).

A quadratic function is a mathematical function of the form:

f(x) = ax² + bx + c

where "a", "b", and "c" are constants, and "x" is the variable.

From the given table of ordered pairs, we can see that the function k is a continuous quadratic function that passes through the points (-1, 0), (0, 2), (2, 5), (3, 4), and (4, 5).

We can estimate the slope of the function between each pair of consecutive points in the table. For example, between (-1, 0) and (0, 2), the slope is positive, so the function is increasing in the interval (-1, 0). Between (0, 2) and (2, 5), the slope is also positive, so the function is increasing in the interval (0, 2). However, between (2, 5) and (3, 4), the slope is negative, so the function is decreasing in the interval (2, 3).

Finally, between (3, 4) and (4, 5), the slope is positive, so the function is increasing in the interval (3, 4). Therefore, the function k is increasing over the intervals (-1, 0) and (3, 4).

So, the correct answer is option A: (1, ∞).

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Answer:

1a) Increment in price = 5500 - 4500 = 1000 Naira

1b) Percentage increase in price = (increment in price / old price) x 100%

= (1000 / 4500) x 100%

= 22.22%

2) Marked price = selling price / (1 - discount percentage)

= 3000 / (1 - 0.1)

= 3333.33 Naira

3) Total cost of 30 crates of eggs = 30 x 30 = 900 Naira

Commission = (4/100) x 900

= 36 Naira

4) Commission = (7/100) x 49000

= 3430 Naira

5) Discount = marked price - selling price

= 44.48 - 39.28

= 5.20 Naira

6) Discount = (245 - 225) / 245 x 100%

= 8.16%

7) Commission = (3/100) x 33

= 0.99 Naira

8) New salary = old salary + 5% of old salary

= 250 + (5/100) x 250

= 262.50 Naira

9) Marketed price = selling price / (1 - discount percentage)

= 55 / (1 - 0.05)

= 57.89 Naira

10) Marketed price = selling price + discount

= 845 + 55

= 900 Naira

Percentage discount = (discount / marked price) x 100%

= (55 / 900) x 100%

= 6.11%

Step-by-step explanation:

the minimum number of degrees that may be rotated to satisfy rotational symmetry in this figure is 60°.

What is rotational symmetry?

Rotational symmetry is a type of symmetry where a shape or object can be rotated by a certain angle and still appear exactly the same as it did before the rotation. The smallest angle of rotation for which the shape or object appears the same is called the angle of rotational symmetry or the order of the rotational symmetry.

In light of the posed query

There is rotational symmetry in the image.

This picture can be seen as a circle. A whole circle has 360 degrees.

Six wings cover the figure.

360/6

=60°

Hence, the minimum number of degrees that may be rotated to satisfy rotational symmetry in this figure is 60°.

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Answer:

The total length of the 30 pencils in centimeters is:

30 x 16 = 480 cm

To convert centimeters to meters, we divide by 100:

480 cm / 100 = 4.8 m

Therefore, the combined length of the 30 pencils is 4.8 meters.

Step-by-step explanation:

Answer: 1. 8.94

2. 13

3.  True

Step-by-step explanation:

Answer:

If 1, -5, and -1/2 are zeros of a polynomial function, then the factors of the polynomial are:

(x - 1), (x + 5), and (2x + 1)

To find the polynomial function, we multiply these factors together and simplify:

(x - 1)(x + 5)(2x + 1)

= (x^2 + 4x - 5)(2x + 1)

= 2x^3 + 9x^2 - 6x - 5

Therefore, the polynomial function of the least degree with integral coefficients that has the zeros 1, -5, and -1/2 is:

f(x) = 2x^3 + 9x^2 - 6x - 5

Answer: what's so urgent?

Step-by-step explanation:

Answer:y=6-X

Step-by-step explanation:

To leave y on it’s on on the right hand side we need to subtract X
X+y-X= y

What you do on the left hand side, you do the same on the right hand side

6-X

final equation would be:

X+y-X=6-X

Simplifying we get :

y=6-X (FINAL ANSWER)

Based on the congruent angles theorem, the value of the variable x in the circle is 40 degrees

An angle is a figure formed by two rays that share a common endpoint, called the vertex of the angle

From the question, we have the following parameters that can be used in our computation:

The circle with center O

In the figure, angles with the same marks are congruent angles

Using the above as a guide, we have the following:

x =40

Hence, the value of x is 40 degrees

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