Which sentence can be represented by the equation Three-fifths m = 15?
The sum of Three-fifths and a number is 15.
Three-fifths more than a number is 15.
Three-fifths times a number is 15.
The quotient of Three-fifths and a number is 15.

Answer:

(x-2)^2+(y-1)^2 = 10^2

(x-2)^2+(y-1)^2 = 100

Step-by-step explanation:

distance between points is diameter

x^2=  (8--4)^2+(-7-9)^2

x^2=12^2+16^2

x^2=144+256

x^2=400

diameter x=20 so radius =10

center point =midpoint (-4+8)/2 and (-7+9)/2

center point =(2,1)

(x-2)^2+(y-1)^2 = 10^2

(x-2)^2+(y-1)^2 = 100

If a merchant bought an item for $50.00 and sold it for 30% more (markup), the item's selling price was $65.00.

The markup is the percentage or amount by which an item is sold.

The markup is based on the cost price.  After adding the markup amount, the selling price is determined to generate some profits for the seller.

The purchase price of an item = $50.00

The markup = 30%

Markup factor = 1.3 (1 + 0.3)

The selling price of the item = $65.00 ($50.00 x 1.3)

Thus, for adding 30% more (markup) on the cost of the item, the selling price is determined as $65.00.

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Answer:

The answer is s^26/pq59

Step-by-step explanation:

Answer:

p^ -1 q ^ -59  s ^26

or without negative exponents

s^ 26 /(p q^ 59)

Step-by-step explanation:

When multiplying , we can add the exponents when the bases are the same

p^0 q ^ -60 r^-1 s^25  * p^-1 qrs

When there is no exponent written, there is an implied 1

p^ (0+-1) q^(-60+1) r ^( -1 +1) s ^ ( 25+1)

p^ -1 q ^ -59 r ^0 s ^26

r^0 = 1

p^ -1 q ^ -59  s ^26

If you need  the negative exponents written as positive

a^-b = 1/ a^b

s^ 26 /(p q^ 59)

Answer:

A the silk road.

Step-by-step explanation:

The transmission of Buddhism to China via the Silk Road started in the 1st century CE with a semi-legendary account of an embassy sent to the West by the Chinese Emperor Ming (58–75 CE). The first missionaries and translators of Buddhists scriptures into Chinese were either Parthian, Kushan, Sogdian or Kuchean.

a) The actual distance between towns K and L is: 100 km

b) As shown in the attached file

c) The bearing of town L from town K is 117 degrees.

The scale of the map is given as:

1 cm to represent 50 km

Now, when we measure the distance between K and L on the map, we see that it gives us a distance of 2 cm.

Using the scale of 1 cm: 50 km, we can say that:

Actual distance between towns K and L = (2 * 50)/1 = 100 km

b) Using a compass and it’s 3cm aiming down {South} as seen in the attached photo. Then a line was drawn aiming {South} with a ruler. On the end of the line the (x) point was put there to get the mark.

c) Measuring the angle gives the bearing of town L from town K which is 117 degrees.

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Answer:

190

Step-by-step explanation:

For every one of the 20 people, they shake hands with 19 others.

However, if A shakes hands with B, we double count because B shakes hands with A. Therefore we do 20*19/2 = 190.

Investment in automation cost = $8,750,000 when there

no further change in capacity.

Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

Following are the informations of Cent:

Current automation = 7%

Capacity of next round = 1,100

New automation = 7 + 2 = 9

Investment in automation cost = Capacity * (4 * (New automation - previous automation)) * 1000

= 1,100 * (4 * (9 - 7)) * 1,000

= 1,100 * (4 * 2) * 1000

= 1,100 * 8 * 1,000

= $8,800,000.

Investment in automation cost = $8,800,000.

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The addition of the three interior angles of a triangle is equal to 180°.

Considering triangle JMR, we get:

Substituting with the data provided in the diagram:

Considering triangle KNP, we get:

Substituting with the data provided in the diagram:

In consequence, the next angles are congruent:

Applying the AAA similarity theorem, then triangles JMR and NPK are similar.

A similarity ratio is the ratio of the lengths of the corresponding sides of two similar polygons.

The similarity ratio of triangle JMR to triangle NPK is:

The similarity ratio of triangle NPK to triangle JMR is:

By using first principle, the value of Dy/Dx is,

⇒ Dy/Dx = - 7 / x²

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ y = 7 / x

Now, Differentiate the function with respect to x, we get;

⇒ y = 7 / x

⇒ Dy/ Dx = D / Dx (7 / x)

                = 7 D/Dx (1/x)

                = 7 (- 1 × x⁻¹⁻¹ )

                = 7 (- x⁻²)

                = - 7 / x²

⇒ Dy/Dx = - 7 / x²

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Answer: 20/300 = 1/15

Hope this helps...

Have a great day.

The first problem asks us to estimate and find the exact area of the region beneath the curve y = ∛x in the interval 0 ≤ x ≤ 64. By graphing the curve, we can visually estimate the area. Then, using the definite integral, we can find the exact area.

The second problem involves estimating and finding the exact area of the region beneath the curve y = x^(-3) in the interval 1 ≤ x ≤ 7. Again, we start by graphing the curve to obtain a rough estimate of the area and then use the definite integral to find the precise value.

By graphing the curve y = ∛x, we can see that it is a increasing curve that starts at the origin and reaches the point (64, 4). The region beneath the curve resembles a triangle. By estimating the area visually, we can roughly estimate it to be half of the rectangle formed by the interval 0 ≤ x ≤ 64 and the maximum height of the curve. To find the exact area, we integrate the function ∛x from 0 to 64: ∫[0, 64] ∛x dx = [4/3 * x^(4/3)] evaluated from 0 to 64. Evaluating the integral, we get (4/3 * 64^(4/3)) - (4/3 * 0^(4/3)) = 256/3.

Graphing the curve y = x^(-3) in the interval 1 ≤ x ≤ 7, we see that it is a decreasing curve that starts at (1, 1) and approaches the x-axis as x increases. The region beneath the curve is a right-end bounded region. By visually estimating, we can see that the area is approximately a triangle with a base of length 6 and a height of 1. To find the exact area, we integrate the function x^(-3) from 1 to 7: ∫[1, 7] x^(-3) dx = [-1/(2x^2)] evaluated from 1 to 7. Evaluating the integral, we get (-1/(27^2)) - (-1/(21^2)) = -1/98.

Therefore, the exact area of the region beneath y = ∛x in the interval 0 ≤ x ≤ 64 is 256/3, and the exact area of the region beneath y = x^(-3) in the interval 1 ≤ x ≤ 7 is -1/98.

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Answer:

3

Step-by-step explanation:

15/4=3 with a remainder of 3 . You take the 3 from your answer and it becomes the whole number.

Answer:

∠ LKM = 125°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ LKM is an exterior angle of the triangle , then

3x - 70 = x + 60 ( subtract x from both sides )

2x - 70 = 60 ( add 70 to both sides )

2x = 130 ( divide both sides by 2 )

x = 65

Then

∠ LKM = 3x - 70 = 3(65) - 70 = 195 - 70 = 125°

It should be noted that for line 1 to line 2, the commutative property of addition is illustrated and for line 2 to line 3, the associative property of addition is illustrated.

The addition and multiplication arithmetic operations are covered by the commutative property. This implies that the outcome of adding or multiplying two numbers remains unchanged if the order or position of the numbers are changed. For instance, 4 + 5 equals 9, and 5 + 4 equals 9.

The total of three or more integers remains the same regardless of how the numbers are grouped, according to the associative feature of addition.

In this case, it should be noted that for line 1 to line 2, the commutative property of addition is illustrated and for line 2 to line 3, the associative property of addition is illustrated.

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f is increasing on the interval (0,6). To find the interval(s) on which f is increasing, we need to find the derivative of f and determine where it is positive.

f'(x) = 6x^5e^-x - x^6e^-x = x^5e^-x(6-x)
Now, we need to determine when f'(x) > 0.
x^5e^-x(6-x) > 0
x^5 is always positive, so we just need to consider e^-x(6-x).
When x < 0, e^-x is positive and (6-x) is negative, so the product is negative.
When 0 < x < 6, both e^-x and (6-x) are positive, so the product is positive.
When x > 6, e^-x is very small and (6-x) is negative, so the product is negative.
Therefore, f is increasing on the interval (0,6).

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There are 5040 different ways can the runners finish first, second, third, and fourth place if ten runners are racing.

The permutation is defined as considered an ordered combination.

The general formula for this is:

P(n, r) = n! (n-r)!

Ten runners are racing

There are ten runners who can win first place, hence there are ten ways.

Any of the remaining 9 runners may get up to the second position in nine different ways.

Any of the remaining 8 runners may get up to the third position in eight different ways

Any of the remaining 7 runners may get up to the fourth position in seven different ways

So total number of ways = 10 × 9 × 8 × 7 = 5040

Another way 4 Out of 10 need to select where order matters

= ¹⁰P₄

= 10!/6!

= 10 × 9 × 8 × 7

= 5040

Hence, there are 5040 different ways can the runners finish first, second, third, and fourth place if ten runners are racing.

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Answer:

x = 75

Step-by-step explanation:

Triangle BDH

The angle must add to 180 degrees

36+ 39 + DHB = 180

75 + DHB = 180

DBH = 180-75

DHB = 105

DBH + x = 180 since it is a straight line

105+ x = 180

x = 75

Answer:

− 3

Step-by-step explanation:

We can rewrite the equation as: y = − 3 x + 0 This equation is now in the slope-intercept form. The slope-intercept form of a linear equation is: y = m x + b Where m is the slope and b is the y-intercept value. For: y = − 3 x + 0 the slope is: m = − 3

Answer:

s = side length

a = area

s^2 = a

plz give brainlyist

Step-by-step explanation

since the area is length times width and the side length of a square is both the width and length. the area of  the square is equal to the side length times its self

Answer:n I got this 64.102564102664.1025641026

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

So do this equation in your head.

Or Write It Down.

50 x 0.78

And Multiply it from there.

So I hope it helps.

Answer:

6i

Step-by-step explanation:

I think

There are 166 integers between 1 and 1000 that are divisible by 3 and 5.

1000/3 = 333.3333

1000/5 = 200

333.3333 * 200 = 66,666.66

66,666.66 / 15 = 4444.444

4,444.444 rounded to 4,445

4,445 - 1 = 4,444

4,444 + 1 = 4,445

4,445 integers between 1 and 1000 that are divisible by 3 and 5.

There are 4,445 integers between 1 and 1000 that are divisible by both 3 and 5. The calculation to determine this is 1000 divided by 3, then 1000 divided by 5, then multiplying the two numbers together, then dividing by 15 and rounding the result to the nearest integer, then subtracting and adding 1 to the result.

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Answer:

\(b=\sqrt[3]{16}\)

Step-by-step explanation:

Determine interception point of curves

\(36x^2=4\)

\(x^2=\frac{4}{36}\)

\(x^2=\frac{1}{9}\)

\(x=\pm\frac{1}{3}\)

Find the area of the bounded region

\(\int\limits^\frac{1}{3} _{-\frac{1}{3}} {4-36x^2} \, dx\\ \\=4x-12x^3\Bigr|_{-\frac{1}{3} }^{\frac{1}{3} }\\\\=[4(\frac{1}{3})-12(\frac{1}{3})^3]-[4(-\frac{1}{3})-12(-\frac{1}{3})^3]\\\\=\frac{8}{9}-(-\frac{8}{9})\\\\= \frac{8}{9}+\frac{8}{9} \\\\=\frac{16}{9}\)

Therefore, since half of the area is \(\frac{8}{9}\), we can set one-half of the region between 0 and x where \(x=\frac{\sqrt{b}}{6}\) and determine b:

\(\frac{8}{9}=\int\limits^\frac{\sqrt{b}}{6} _0 {b-36x^2} \, dx\\\\\frac{8}{9} =bx-12x^3\Bigr|_{0}^{\frac{\sqrt{b}}{6} }\\\\\frac{8}{9}=b(\frac{\sqrt{b}}{6})-12(\frac{\sqrt{b}}{6})^3\\\\\frac{8}{9}=\frac{b\sqrt{b}}{6}-12(\frac{b^{\frac{3}{2}}}{216})\\\\\frac{8}{9}=\frac{b\sqrt{b}}{6}-(\frac{b^{\frac{3}{2}}}{18})\\\\\frac{16}{18}=\frac{3b\sqrt{b}}{18}-\frac{b^{\frac{3}{2}}}{18}\\\\16=3b\sqrt{b}-b^{\frac{3}{2}}\\\\16=3b^{\frac{3}{2}}-b^{\frac{3}{2}}\\\\16=2b^{\frac{3}{2}}\)

To account for both halves of the region:

\(16=2(2b^{\frac{3}{2}})\\16=4b^{\frac{3}{2}}\\4=b^{\frac{3}{2}}\\b=\sqrt[3]{16}\)

Therefore, the line \(b=\sqrt[3]{16}\) will divide the area between the curves into two regions with equal area

The solution to the expression is -x² + 2ix²

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

a = x

b = -1 + 2i

The expression to calculate is given as

a^2 * b

This can be properly expressed as

a² * b

Substitute the known values in the above equation, so, we have the following representation

a² * b = x² * (-1 + 2i)

Open the brackets

a² * b = -x² + 2ix²

Hence, the solution is -x² + 2ix²

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The amount of each quarterly payment, rounded, for a $30,000 loan with a 6% annual interest rate to be paid off in 10 equal quarterly payments is $2,803 (option B).


To calculate the amount of each quarterly payment, we need to use the formula for calculating the equal payments on an installment loan. In this case, the loan amount is $30,000, the annual interest rate is 6%, and the loan term is 10 quarters.

Using the formula, we can determine that the amount of each quarterly payment is approximately $2,803. This amount is rounded to the nearest whole number, as specified in the question. Therefore, option B, $2,803, is the correct answer. The other options (A, C, and D) are not applicable to the calculation based on the given information.

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