-12x²-5x-7x²+6+13x simplify

Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.

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Answer: The answer is 6/15 though, it can be simplified in two different ways. 6/15 simplifies to the fractions 9/15 and 3/5. If the answer is not 6/15 then it must be one of those two fractions.

Step-by-step explanation: There are 15 total marbles in the bag, and 6 of them are blue. Therefore, the probability of selecting a blue marble on the first draw is 6/15. The probability of not selecting a blue marble on the first draw is 1 - 6/15, which simplifies to 9/15 or 3/5.

The width of the dog run is 20 feet.

In the given problem, the length of the dog run is given as 30 feet.

The area of the dog run is also given as 240 square feet.

Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).

Rearranging the formula, we have w = A / l.

Plugging in the values, we get w = 240 / 30 = 8 feet.

Since the width is given as (30 minus x) feet, we can set up an equation:

30 - x = 8. Solving for x, we find x = 22.

Therefore, the width of the dog run is 20 feet (30 - 22 = 8).

In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.

The area of the dog run is given as 240 square feet.

By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.

Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.

This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).

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Answer:

Fraction: 26/3

Decimal: 8.6

Mixed Number: 8 2/3

Step-by-step explanation:

Hope this helps! Please mark as brainliest.

Thanks!

this is the answer

210.28

Answer:

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Step-by-step explanation:

because

the figure does not appear

Answer:

Step-by-step explanation:

              Steps                                Justifications

1). -2x = 28 - 6x                               1). Given

2). -2x + 6x = 28 - 6x + 6x              2). Addition property of equality

3). 4x = 28                                       3). Simplification

4). \(\frac{4x}{4}=\frac{28}{4}\)                                        4). Division property of equality

5). x = 7                                            5). Simplification

Answer:

its negative 8

Step-by-step explanation:

you can see it there

x = 301/56

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expression

Given the algebraic expression,

\(3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} \)

Step 1:

Simplify the expression by converting the mixed numbers into improper fractions:

25/8 ÷ ( x - 119/28) = 17/18 + 11/6

Step 2: Simplify the right side of the equation

25/8 ÷( x - 119/28) = 17/18 + 33/18

25/8 ÷( x - 119/28) = 50/18

Step 3: Multiply both sides of the equation by (x - 119/28)

25/8 = 50/18 × (x - 119/28)

Step 4: Multiply both sides of the equation by (18/50)

25/8 × (18/50) = (x - 119/28)

Step 5: Simplify the left side of the equation

9/8 = (x - 119/28)

Step 6: Add 119/28 to both sides of the equation

9/8 + 119/28 = x

Step 7: Calculate the value of x:

x = 9/8 + 119/28

= 63/56 + 238/56

= 301/56

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Answer:

Step-by-step explanation:

208

We know that 22.7% of this amount is used for cooking,the family uses 300.001 gallons of water every day.

What is gallons?

Gallon is a unit of measurement used to quantify liquid volume in both the US customary and British imperial systems of measurement.

Let's start by using algebra to solve the problem.

Let x be the total amount of water the family uses every day. We know that 22.7% of this amount is used for cooking, which means:

0.227x = 68.1

To solve for x, we can divide both sides of the equation by 0.227:

x = 68.1 ÷ 0.227

x = 300.001 (rounded to three decimal places)

Therefore, the family uses 300.001 gallons of water every day.

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(A)

\(\dfrac{\partial f}{\partial x}=-16x+2y\)

\(\implies f(x,y)=-8x^2+2xy+g(y)\)

\(\implies\dfrac{\partial f}{\partial y}=2x+\dfrac{\mathrm dg}{\mathrm dy}=2x+10y\)

\(\implies\dfrac{\mathrm dg}{\mathrm dy}=10y\)

\(\implies g(y)=5y^2+C\)

\(\implies f(x,y)=\boxed{-8x^2+2xy+5y^2+C}\)

(B)

\(\dfrac{\partial f}{\partial x}=-8y\)

\(\implies f(x,y)=-8xy+g(y)\)

\(\implies\dfrac{\partial f}{\partial y}=-8x+\dfrac{\mathrm dg}{\mathrm dy}=-7x\)

\(\implies \dfrac{\mathrm dg}{\mathrm dy}=x\)

But we assume \(g(y)\) is a function of \(y\) alone, so there is not potential function here.

(C)

\(\dfrac{\partial f}{\partial x}=-8\sin y\)

\(\implies f(x,y)=-8x\sin y+g(x,y)\)

\(\implies\dfrac{\partial f}{\partial y}=-8x\cos y+\dfrac{\mathrm dg}{\mathrm dy}=4y-8x\cos y\)

\(\implies\dfrac{\mathrm dg}{\mathrm dy}=4y\)

\(\implies g(y)=2y^2+C\)

\(\implies f(x,y)=\boxed{-8x\sin y+2y^2+C}\)

For (A) and (C), we have \(f(0,0)=0\), which makes \(C=0\) for both.

The area of the triangle is 52.32 square units

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

The triangle (see attachment)

The base of the triangle is calculated as

base = 12 * tan(36)

The area of the triangle is then calculated as

Area = 1/2 * base * height

Where

height = 12

So, we have

Area = 1/2 * base * height

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

Area = 1/2 * 12 * tan(36) * 12

Evaluate

Area = 52.32

Hence, the area of the triangle is 52.32 square units

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Answer:

Step by step explanation:

well this is simble you just do it

Area of circle of diameter with 13cm is 132.74

What is area of circle?

Given :

Diameter of circle, d = 13cm

Radius of a circle, r = d/2

=13/2

=6.5

Area of circle = πr²

= 3.142 * 6.5 * 6.5

= 132.74

Hence, the Area of circle of diameter with 13cm is 132.74.

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I believe it's 4 as 32 fluid ounces is 1 quart

Answer:

ok so you said 40 points but theres only 5 points....xD anyways,

we know that 4 would be as 32 fluid ounces.

that would equal 1 quart.

hope this helps! best of luck!!!!

It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

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Answer:

c. -13/4.

d. -13/3.

Step-by-step explanation:

c. f(3/2) = (1/2)(3/2) - 4

= 3 / 4 - 4

= 0.75 - 4

= -3.25

= -3 and 1/4

= -13/4.

d. f(-2/3) = (1/2)(-2/3) - 4

= -2/6 - 4

= -1/3 - 4

= -1/3 - 12/3

= -13/3.

Hope this helps!

Solution :

It is given that P(x) is said to be complete or proper probability distribution if it satisfies the following two ways :

1. \($P(x) \geq 0$\)

2. \($\sum_z P(x) = 1$\)

Now consider,

\($\sum_z P(x) = 1$\)

⇒ \($P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)=1$\)

⇒ \($0.61+T+0.14+0.01+0.01+0.03=1$\)

⇒ \($0.8+T=1$\)

⇒ \($T=1-0.8$\)

       = 0.2

Therefore, the value of T is 0.2

Thus, option (c) is correct.

One thing that is not true about equations is A. an equation does not contain an equal sign.

An equation is a mathematical statement that shows the equality of two expressions, and an equal sign (=) is used to connect the two expressions. Without the equal sign, we do not have an equation.

The expressions on each side of the equal sign can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, and division.

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The options are :

Answer: 7.2ft

I explanation

The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.

Given:

Total number of seniors = 200

Number of seniors in the band = 32

Number of seniors in the band or on the honor roll = 64

Let's calculate the probability using these values:

Probability = Number of seniors in both categories / Total number of seniors

Probability = 64 / 200

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:

Probability = (64 ÷ 8) / (200 ÷ 8)

Probability = 8 / 25

Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

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The area of the triangle is approximately 1.987 square units.

The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

Using sin rule of a triangle,

\(\frac{Sin A}{a} = \frac{Sin C}{c} = \frac{Sin B}{b}\)

In our case,

\(\frac{Sin 18}{1.6} = \frac{Sin Q}{4.2} = \frac{Sin P}{QR}\)

From equation 1

\(\frac{Sin 18}{1.6} = \frac{Sin Q}{4.2} \\\frac{(Sin 18)*4.2}{1.6} = {Sin Q}\\Sin \ Q =21/8* sin\ 18\\\)

Thus,

∠Q = 125.79 degrees

since sum of all angles is 180 degrees

so,

∠P = 180-125.79-18

∠P = 36.21

So From the equation 1

\(\frac{Sin 18}{1.6} = \frac{Sin P}{QR}\\\frac{Sin 18}{1.6} = \frac{Sin 36.2}{QR}\\QR = \frac{Sin 36.2}{\frac{Sin 18}{1.6}}\)

QR = 3.06 cm

To find the area of the triangle, we can use Heron's formula:

Area = √(s(s-a)(s-b)(s-c))

where a, b, and c are the side lengths and s is the semi perimeter:

s = (a + b + c)/2

Plugging in the values we get:

s = (4.2 + 1.6 + 3.052)/2

s ≈ 4.426

Now we can use Heron's formula:

Area = √(4.426(4.426-4.2)(4.426-1.6)(4.426-3.052))

Using a calculator, we find:

Area ≈ 1.987 square units

Therefore, the area of the triangle is approximately 1.987 square units.

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Complete question:

The diagram shows triangle PQR, PR =  4.2 cm, PQ = 1.6 cm Given that angle PQR is obtuse triangle, work out the area of triangle PQR Give your answer correct to 3 significant figures. Angle PRQ = 18° Diagram NOT accurately drawn​

Answer:

............................

Step-by-step explanation:

Answer:

x = 8 - y

Step-by-step explanation:

Subtract y from both sides x + y - y = 8 - y

Simplify x = 8 - y

Answer:

C

Step-by-step explanation:

trust me c is the correct answer