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PART 1) IF I HAVE THREE PINTS OF RED PAINT AND 4 PINTS OF BLUE PAINT, WHAT WOULD THE RATIO BE OF RED TO TOTAL?

PART 2) WOULD THIS BE A PART TO PART OR A PART TO WHOLE?

Step-by-step explanation:

asleep percentage :- ( 8h /24h ) 100 % = 33.33%

awake percentage :- ( 16h / 24h ) 100 % = 66.67%

The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3).

To determine the x-intercept, let y = 0 and solve for x in the equation y = 3x - 1.

Substitute 0 for y in the equation.0 = 3x - 1

Add 1 to both sides1 = 3x

Divide both sides by 3x = 1/3

The x-intercept of the line is (1/3, 0).

To find the y-intercept, let x = 0 and solve for y in the equation y = 3x - 1.

Substitute 0 for x in the equation.y = 3(0) - 1y = -1

The y-intercept of the line is (0, -1).

Therefore, the x-intercept is (1/3, 0), and the y-intercept is (0, -1).

Therefore, The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3). The calculation above supports the conclusion.

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it shows us to  locating of a specific gene to particular region of a chromosome and determining the location of and relative distances between genes on the chromosome.

genome map

Genome maps are species-specific and comprised of genomic markers and/or genes and the genetic distance between each marker. These distances are calculated based on the frequency of chromosome crossovers occurring during meiosis, and not on their physical location on the chromosome.

Chromosome

Chromosomes are threadlike structures made of protein and a single molecule of DNA that serve to carry the genomic information from cell to cell.

DNA

it  is the hereditary material in humans and almost all other organisms. Nearly every cell in a person's body has the same DNA.

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The equation for capital gain as a percent of the original purchase price will be equal to a = (y - x)/x × 100.

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. A mathematical operation like reduction, addition, multiplication, or division is used to include terms in an expression.

As per the given information in the question,

Use the equation for capital gain,

Let the selling price be y and the purchase price is x dollars.

Capital gain = Selling price - Purchase

Substitute the values,

Capital gain = y - x

Now, let's find out the percent increase.

Let's assume that 'a' is the percent increase.

So, the equation will be,

(a)(x) = y - x

ax = y - x

Divide both sides by x.

(ax)/x = (y - x)/x

a = (y - x)/x

Multiply the equation by 100 to show in percentage form,

a = (y - x)/x × 100

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Answer:

11 1/4 cups

Step-by-step explanation:

2.25 * 5 = 11.25

Answer: x = -5

Step-by-step explanation:

4−2(x+7)=3(x+5)4-2(x+7)=3(x+5)Simplify 4−2(x+7)4-2(x+7).Tap for more steps...−2x−10=3(x+5)-2x-10=3(x+5)Simplify 3(x+5)3(x+5).Tap for more steps...−2x−10=3x+15-2x-10=3x+15Move all terms containing xx to the left side of the equation.Tap for more steps...−5x−10=15-5x-10=15Move all terms not containing xx to the right side of the equation.Tap for more steps...−5x=25-5x=25Divide each term in −5x=25-5x=25 by −5-5 and simplify.Tap for more steps...x = −5

Answer: \(42.6^{\circ}\)

Step-by-step explanation:

Let the angle of depression be x.

\(\sin x=\frac{23}{34}\\\\x=\sin^{-1} \left(\frac{23}{34} \right) \approx 42.6^{\circ}\)

The preparation of the stockholders' equity statement for the year ended December 31, 2021, is as follows:

Court Casuals

Statement of stockholers' equity

December 31, 2021

Common Stock                        $116,000

Additional Paid-in Capital  $5,326,000

Retained Earnings              $3,677,000

Treasury Stock                         $-2,000

Total stockholders' equity  $9,117,000

The stockholders' equity statement includes the common stock, additional paid-in capital, retained earnings, and the subtraction of the treasury stock.

Court Casuals

Stockholers' equity on January 1, 2021

Common Stock $90,000

Additional Paid-in Capital $4,100,000

Retained Earnings $3,000,000

Net income for the year, 2021, = $900,000

May 18: Cash $1,300,000 Common Stock $26,000 Additional Paid-in Capital $1,274,000 (26,000 x $50 - $26,000)

May 31: Treasury Stock $4,500 Additional Paid-in Capital $175,500 (4,500 x $40 - $4,500) Cash $180,000

Jul 1: Cash Dividend $223,000 (90,000 + 26,000 - 4,500) x $2 Dividends Payable $223,000

July 31: Dividends Payable $223,000 Cash $223,000

August 18: Cash $130,000 Treasury Stock $2,500 Additional Paid-in Capital $127,500 (2,500 x $52 - $2,500)

Statement of Retained Earnings, December 31, 2021:

Beginning balance  $3,000,000

Net income                 $900,000

Dividends                     -223,000

Ending balance        $3,677,000

Beginning balance  $90,000

May 18: Cash              26,000

Ending balance       $116,000

Beginning balance  $4,100,000

May 18: Cash              1,274,000

May 31: Cash                -175,500

August 18: Cash            127,500

Ending balance      $5,326,000

May 31: Cash                 $4,500

August 18: Cash             -2,500

Ending balance            $2,000

Thus, we can summarize from the stockholders' equity that Court Casuals has outstanding shares of 114,000 (116,000 - 2,000) at $1 par, which is the difference between the ending balances of the common stock and the treasury stock accounts, after reflecting the equity transactions for the year.

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The requried graph of the solution of a set of given inequality 13 > 5+ 4x is shown.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
Given inequality,
13 > 5 + 4x

Simplify the above expression,
Subtract -5 from both sides,
13  - 5 > 5 - 5 + 4x
8 > 4x

Divide by 4 into both sides
2 > x

The graph of the solution to the given inequality is less than 2, and line x = 2 will be a dotted line [value no included in x < 2]

Thus, the graph of the inequality has been shown.

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Answer:

x=-1.273

y=-3.387

Step-by-step explanation:

-4.5x-2y=12.5            (1)

6.50x-2y=-1.5            (2)  [Multiplied by 2]

Now, (2)-(1)⇒

11x=-14

x=-14/11=-1.273

Now,putting the value of x in 3.25(-1.273)-y=-.75

y=-3.387

Hope, this helps you.

Answer:

$500

Step-by-step explanation:

100-12=88

88/100=440/x

88x=100(440)

88x=44000

/88.  /88

x=500

hopes this helps

Answer:

4x²+13x+9

iwill give you good method to simplify this

firstable take the 4 from x² and multiply it by 9

x²+13x+36

we find this equation

so the values is 4 and 9 because 4+9=13

4×9=36

(x+ )×(x+ )

first we take 9 and devide it by 4

9/4 the four for the x and the nine is number

so its will be

(4x+9)×(x+ )

same thing with 4 devide by 4 so the value is 1

so its will be like this

(4x+9)×(x+1) and this is the answer hopefully you understand my explain with my English

The factored form of the expression 4x²+13x+9 will be (4x+9)(x+1). Hence option D is correct.

A second-degree algebraic equation in x is known as a quadratic equation. ax² + bx + c = 0 is the quadratic equation in standard form, where a and b are the coefficients, x is the variable, and c is the constant term.

For an equation to be a quadratic equation, there must first be a non-zero component in the coefficient of x² (a \(\neq\) 0). The x² term, the x term, and the constant term are written in the order given when constructing a quadratic equation in standard form.

The question's expression is as follows:

4x²+13x+9

According to option D,

(4x+9)(x+1)

Multiply both the brackets to check,

4x²+4x+9x+9

⇒ 4x²+13x+9

Hence, it concludes that option D is correct.

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If the measure of the arc of the circle is 10 cm. Then the measure of the length of the radius will be 6.51 cm.

Consider an arc of a circle.

Suppose it subtends θ angle on the rest of the part of the circumference (at any point). Then it subtends a 2θ angle on the center of that circle.

we know the formula

Are = θ/360 x 2πr

The center of the circle below is at P. If the central angle ∠APB measures 88° and the length of arc AB = 10 cm.

Then we have

    10 = 88 / 360 x 2πr

40.91 = 2πr

       r = 6.51 cm

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The Moon and Sun's gravitational pull on the waters of Earth is what causes tides.

The Moon and Sun's gravitational pull on the waters of Earth is what causes tides. The gravitational pull between any two objects is determined by both their masses and their separation from one another. Although having a far larger mass than the Moon, the Sun is located much distant from Earth. This indicates that the Moon's gravitational pull on the oceans of Earth is greater than that of the Sun.

The water on the side of the Earth that faces the Moon is drawn towards it by the Moon's gravitational attraction, creating a high tide. Another high tide results from simultaneous pulls on the opposite side of the Earth's water towards the Moon.

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The moon has a greater effect on Earth's tides than the sun because it is much closer to Earth.

Gravitational pull is the force by which a planet or other body draws objects toward its center. The force of gravity keeps all of the planets in orbit around the sun. It also keeps the moon in orbit around Earth.

The Moon and Earth exert a gravitational pull on each other. On Earth, the Moon's gravitational pull causes the oceans to bulge out on both the side closest to the Moon and the side farthest from the Moon. These bulges create high tides. The low points are where low tides occur.

The moon has a greater effect on Earth's tides than the sun because it is much closer to Earth. The gravitational force between two objects decreases as the distance between them increases, so the moon's gravitational pull on Earth's oceans is much stronger than the sun's. However, during certain times of the year, when the sun and moon are aligned, their combined gravitational pull can create especially high or low tides, known as spring tides.

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1) The formula for the width of the prism is; w = V/(lh)

2) The value of the width is; w = 11 ft

When changing the subject of a formula, we rearrange the formula so that we have a different subject. In other words, if you move a term from one side of the equals sign to the other, change the operation to do the opposite.

1) The volume of the prism is given as;

V = lwh

where;

l is length

w is width

h is height

Making w the subject, we divide both sides by lh to get;

w = V/(lh)

2) We are given;

Volume; V = 792 ft³

Length; l = 8 ft

height; h = 9 ft

Thus;

w = 792/(8 * 9)

w = 11 ft

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The linear vector equation for the given system is [2, -1, 5] · [x1, x2, x3] = [3, 5, 0]. The linear vector equation for the given system is [1, 6, 2, -1] · [x1, x2, x3, x4] = [5, 0, 7, 0]. The linear vector equation for the given system is [1, 5] · [x1, x2] = [-3, 8, 1].

In the given problem, we are provided with three systems of linear equations. To represent each system as a linear vector equation, we can use the coefficient matrix and the variable vector.

For system a, the coefficient matrix is [2, -1, 5; 1, -8, 2; 0, 4, -4] and the variable vector is [x1, x2, x3]. Thus, the linear vector equation becomes [2, -1, 5] · [x1, x2, x3] = [3, 5, 0].

Similarly, for system b, the coefficient matrix is [1, 6, 2, -1; 5, 0, -6, 0] and the variable vector is [x1, x2, x3, x4]. The linear vector equation is [1, 6, 2, -1] · [x1, x2, x3, x4] = [5, 0, 7, 0].

Lastly, for system c, the coefficient matrix is [1, 5; -2, -13; 3, -3] and the variable vector is [x1, x2]. The linear vector equation becomes [1, 5] · [x1, x2] = [-3, 8, 1].

In summary, the linear vector equations for the given systems of linear equations are obtained by representing the coefficient matrix and the variable vector as dot products.

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He works for 55 hours in order to receive grossly $1,144

From the question, the given parameters are

Hourly rate = $20.80 per hour

Total earnings = $1,144

The number of hours he works for is the quotient of the total earning and the hourly rate

This is represented as

Number of hours =  Total amount /Hourly rate

Substitute the known values in the above equation

So, we have the following equation

Number of hours =  1144/20.8

Evaluate

Number of hours = 55

Hence, the number of hours is 55 hours

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Answer:

p=-2

Step-by-step explanation:

we can solve by both methods

if it is divisible by x-1,then remainder is zero.

i solve by synthetic division.

x-1=0,x=1

1 |  1 -1  p  2

 |      1  0  p

_________

   1   0  p |2+p

Here 2+p is remainder.

p+2=0

p=-2

Answer:

To expand (x + 4)², we can use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². In this case, a = x and b = 4.

So,

(x + 4)² = x² + 2(x)(4) + 4²

= x² + 8x + 16

Thus, (x+4)² when expanded and simplified gives x² + 8x + 16.

Step-by-step explanation:

Answer:

x²n+ 8x + 16

Step-by-step explanation:

(x + 4)²

= (x + 4)(x + 4)

each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 4(x + 4) ← distribute parenthesis

= x² + 4x + 4x + 16 ← collect like terms

= x² + 8x + 16

Answer:

Step-by-step explanation:

3x + 4x + x = 16

7x + x = 16

8x = 16

x = 16 : 8

x = 2

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

3 × 2 + 4 × 2 + 2 = 16  (remember PEMDAS)

6 + 8 + 2 = 16

16 = 16

same value the answer is good

solution given:

For Cuboid

length[l]=11mm

breadth [b]=9mm

height[h]=6mm

For semi cylinder

height[H]=11mm

radius[r]=\( \frac{9}{2}=4.5mm\)

Now

Totalsurface area=2(lb+bh+lh)+½(2πr(r+H))-l*b\)

:2(11*9+9*6+11*6)+22/7*4.5(4.5+11)-11*9

:438+219.2-99

:558.2mm²

Here area of base is subtracted as it is not included.

Total surface area of composite figure is :558.2mm².

Answer:

\(\displaystyle SA_{Total} = \frac{279 \pi}{4} + 339 \ mm^2\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Geometry

Shapes

Congruency

Radius Formula: \(\displaystyle r = \frac{d}{2}\)

Surface Area of a Rectangular Prism Formula: SA = 2(wl + hl + hw)

Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²

Step-by-step explanation:

Step 1: Define

Identify

[Rectangular Prism] w = 9 mm

[Rectangular Prism] l = 11 mm

[Rectangular Prism] h = 6 mm

[Cylinder] d = 9 mm

[Cylinder] h = 11 mm

Step 2: Derive

Modify Surface Area equations and combine

Step 3: Find Surface Area

Therefore, there are 81,920 different pizzas that this parlor offers.

Since there are five different sizes of pizza, a customer can choose any one of the five sizes. For each size, the customer can choose to have any combination of the 14 toppings, or no toppings at all. This means that for each size of pizza, there are $2^{14}$ different possible topping combinations, including the option of having no toppings. So the total number of different pizzas that the parlor offers is:

=5*2¹⁴

=5*16,384

=81,920

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From distance formula, the distance covered by a particle with position (x, y) as time, t is equals to the \( 18\sqrt{2}\).

The distance d, traveled by the particle with position vector, r(t) = <x(t), y(t) > over the interval [a,b] is calculated by following

\(d = \int_{a}^{b} ( (\frac{dx}{dt})² +(\frac{dy}{dt})² )dt\). We have a particle with position value (x, y) as t varies in the time interval. The parametric equations are, x = 3 sin² (t), y = 3 cos²(t), on the

time interval [0,3π]. Now the derivative of above parametric equations with respect to time t are \(\frac{dx}{dt} = 6 sin(t)cos(t) \) = 3 sin(2t)

\(\frac{dy}{dt} = -6 sin(t)cos(t) \)

= - 3 sin(2t)

Therefore, the required distance travelled by particle in the interval [0,3π] is written as \(d = \int_{0}^{3π} \sqrt{( (3 sin(2t))² + (-3 sin(2t))²) dt} \\ \)

\(= \int_{0}^{3π} \sqrt{ ( 9 sin²(2t) + 9sin²(2t))}dt \\ \)

\(= \int_{0}^{3π} \sqrt{18sin²(2t)dt}\)

\(= 3\sqrt{2}\int_{0}^{3π} |sin(2t)|dt\)

\(= 3\sqrt{2}[ \int_{0}^{\frac{π}{2}} sin(2t)dt - \int_{\frac{π}{2}}^{π} sin(2t)dt + \int_{π}^{\frac{3π}{2}} sin(2t)dt - \int_{\frac{π}{2}}^{2π}sin(2t)dt + \int_{2π}^{\frac{5π}{2}}sin(2t)dt - \int_{\frac{5π}{2}}^{3π}sin(2t)dt \\ \)

\(= 3\sqrt{2}([ \frac{cos(2t)}{2}]_{0}^{\frac{π}{2}} - [\frac{cos(2t)}{2}]_{\frac{π}{2}}^{π} + [\frac{cos(2t)}{2}]_{π}^{\frac{3π}{2}} - [\frac{cos(2t)}{2}]_{\frac{3π}{2}}^{2π} + [\frac{cos(2t)}{2}]_{2π}^{\frac{5π}{2} }- [ \frac{cos(2t)}{2}]_{\frac{5π}{2}}^{3π})\\ \)

\(= 3\sqrt{2}([ \frac{1}{2} +{\frac{1}{2}] - [\frac{-1}{2}- \frac{1}{2}}] + [\frac{1}{2}+ \frac{1}{2}] - [\frac{-1}{2} - \frac{1}{2}] + [\frac{1}{2} + \frac{1}{2}]- [ \frac{-1}{2} - \frac{1}{2}])\\ \)

\(= 3\sqrt{2}(6)\) =\(= 18\sqrt{2}\)

Hence, the required distance is \( 18\sqrt{2}\).

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Based on the division operation, the amount of sugar in each ounce of Sugar Buzz is 3.45 grams.

One of the four basic mathematical operations is the division operation.

The other three basic mathematical operations include addition, subtraction, and multiplication.

Division operations involve dividing the dividend by the divisor, with a result known as the quotient.

The total sugar content of a 12-ounce can of Sugar Buzz = 41.4 grams.

The sugar in each ounce = 3.45 (41.4 ÷ 12).

Thus, we can conclude that in each ounce of Sugar Buzz, the amount of sugar is 3.45 g.

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Answer:

The mean is the best measure. The mean waiting time for doctor #2 is 2.5 minutes longer than for doctor #1

Step-by-step explanation:

Answer: well, just multiply x and y by the scale factor

Step-by-step explanation:A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor

of 0.4 with the origin as the center of dilation.

If (x, y) represents the location of any point on the original square, which ordered pair represents the

coordinates of the corresponding point on the resulting square.

GIVE ME DA BRAINS

Answer:

1523905

Step-by-step explanation:

Given the function

P(t) = P0 * 2^t/d

P0 = 15000 ; d = 3.; t = 20

P(20) = 15000 * 2^20/3

P(20) = 15000 * 2^6.66666

P(20) = 15000 * 101.59366

P(20) = 1523905.0

P(20) = 1523905

Required value of s(4), s(7), s(5), s(9) are V(4) + C, V(7) + C, V(5) + C, V(9) + C respectively where c is the constant.

To determine the values of s(t) at different time points, we need to integrate the velocity function v(t) with respect to time. Based on the values you provided, it seems like you have already performed the integration correctly. However, since the values you provided are the definite integrals, we need to find the antiderivative or the indefinite integral of the velocity function to determine s(t) explicitly.

Let's assume the indefinite integral of v(t) is V(t). Then, we have:

s(t) = V(t) + C

where C is the constant of integration. To determine the constant C, we can use the initial condition s(0) = -3. Substituting t = 0 into the equation, we get:

s(0) = V(0) + C

-3 = V(0) + C

Since the constant of integration is the only unknown term, we can solve for C:

C = -3 - V(0)

Now, we can find the position function s(t) for different values of t using the indefinite integral and the constant C:

s(4) = V(4) + C

s(7) = V(7) + C

s(5) = V(5) + C

s(9) = V(9) + C

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Answer:

12

Step-by-step explanation:

72/6=12

To write the equation that represents the situatio, as y is in function of x, you multiply the rate by the number of minutes (x):

In 7.5 minutes he can type: