Find the sum 6x + 19x=

Answer: a)

Step-by-step explanation:

To find \(\frac{dy}{dx}\), we will have to use implicit differentiation, and because the base is \(dx\), we will take the deriviative of both sides with respect to \(x\).

To derive \(y\) with respect to \(x\), just derive the term with respect to y then multiply the term with \(\frac{dy}{dx}\).

So \(\frac{d}{dx} x^{2}\) is just \(2x\), \(\frac{d}{dx} y^{2}\) is \(2y \frac{dy}{dx}\), and  \(\frac{d}{dx} 289\) is 0. Now substitue each term with it's deriviative.

\(2x + 2y \frac{dy}{dx} = 0\)

Now, just solve for  \(\frac{dy}{dx}\) when \(x\) is 8 and \(y\) is 15

\(2(8) + 2(15)\frac{dy}{dx} = 0\)

\(16 + 30\frac{dy}{dx} = 0\)

\(\frac{dy}{dx} = \frac{-16}{30} = \frac{-8}{15}\)

So the answer is choice a)

Step-by-step explanation:

\(\text{Denote The sum of all the integers from 1 to 100 inclusive that are NOT multiples of 7 as } S.\)

\(\text{Denote The sum of all the integers from 1 to 100 inclusive that are multiples of 7 as } P.\)

\(\text{Denote The sum of all the integers from 1 to 100 inclusive as } Q.\)

Then

\(\begin{align}S&=Q-P\\&=\frac{100(100+1)}{2}-(7+2\cdot7+\ldots+14\cdot7)\\&=\frac{100(100+1)}{2}-7\cdot\frac{14(14+1)}{2}\\&=4315\end{align}\)

Answer:

it's only 2pi/B because the period of sin and cos is 2pi. If we were dealing with tan it'd be pi/B, since the period of tan is just pi.

Points M and N will be located on the number line as:

M is at -15

N is at 3.

Here, we have,

to Find the Coordinate of a Point on a Number Line:

The number line gives us an idea of how real numbers are ordered, where we have the negative numbers to the left, and the positive numbers to the right.

The distance between two points on a number line is the number of units between both points.

Given that point L is at -6 on a number line, thus:

Point M is 9 units away from point L = -6 - 9 = -15

Point N is 9 units away from point L = -6 + 9 = 3

Therefore, points M and N will be located on the number line as:

M is at -15

N is at 3.

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Simplify (-2)² + 15 ÷ 3

Answer: 9

Hope this helps :))
P.s. Can you mark me as the brainliest? <3

Answer:

Hello your question lacks the required options hence i will give you a general answer.

answer : 29 pieces

Step-by-step explanation:

To determine the number of pieces that can be cut out by 7 straight cuts

we will apply the relation below

F(n) = 1/2 ( n^2 + n + 2 )

where n = 7

F(7) = 1/2 ( 49 + 7 + 2 )

therefore N  = 1/2 ( 58 ) =  29 pieces

Answer:

7-7i

Step-by-step explanation:

On factorizing the polynomial 3m²-9 we get 3(m²-3).

The factor of polynomial is defined as the process of expressing the polynomial as a product of two or more polynomials.

For Example : the factors of x²-16 are (x+4)(x-4).

In the given question we need to factor

3m²-9

here 9 can be written as 3*3

rewriting the above equation we get

3m²-3*3

As both the terms contain 3 we can take 3 common from both the terms ;

taking 3 common from each term we get ,

=3(m²-3)

Therefore , On factorizing 3m²-9 we get 3(m²-3) .

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Answer:

approx. 23.4076433 pounds; ~23.41 pounds

Step-by-step explanation:

to find this out we must first find the ratio

314:70 is the ratio

this can be simplified to

157:35

this number is basically saying that an object on boondin weighs approximately 4.48571429 more than on Earth

so we could divide 105 by 4.48571429

105 / 4.48571429 is 23.4076433

so on earth it would weigh about 23.4076433 pounds

rounded to the nearest hundredth is 23.41 pounds

The middle school will host a Talent show.

The goal of the tickets sale is to earn $500

To reach this goal Ms G has to sell a determined number of tickets.

This means that the earnings depend directly on the number of tickets sold.

So the independent/ explanatory variable is the number of tickets sold, and the dependent/ response variable is the money earned

x → Tickets sold

y → Money earned

Answer:

y = -3x + 13

Step-by-step explanation:

Assuming the line is linear, you can use the point-slope equation of a line.

(y - y) = m (x - x)

The y and x variables come from the points on the line. Points are written in the form (x, y). In the point (2,7), 2 is x and 7 is y.

1. Plug your points in.

(7 - - 2) = m (2 - 5)

2. Solve for m (the slope)

(7 + 2) = m (2 - 5)

(9) = m (-3)

9 = -3m

m = -3

3. Write an equation of the line with the slope you found.

You can write this equation in different forms, but I'll use the slope-intercept form.

y = mx + b

You'll have to find b, the y-intercept. You can plug one of your points in for x and y as well as your slope, m, and solve for b.

7 = -3(2) + b

7 = -6 + b

b = 13

Therefore, the equation is y = -3x + 13

Answer:

Step-by-step explanation:

No it’s not On that line the 20 on the y axis is way above the line

Answer:

They should sell the computer for $287.50

Step-by-step explanation:

Let's solve the 25% increase first

100% = $200

100% + 25% = 125% = 1.25

200 x 1.25 = $250

Then we find the 15% increase

100% = $250

100% + 15% = 115% = 1.15

250 x 1.15 = $287.50

So, they should sell the computer for $287.50

Derivatives are mathematical operators that represent the rate of change of a function with respect to its independent variable. The partial derivatives are equal, this vector field is conservative.

A vector field is a mathematical construct that assigns a vector to each point in a given space. It describes the direction and magnitude of a vector quantity at every point in space. In other words, it associates a vector with each point in a region.

Vector fields can be represented graphically using vector arrows or symbolically using mathematical expressions. They are commonly used in physics, engineering, and mathematics to model physical phenomena such as fluid flow, electric and magnetic fields, and gravitational forces.

To determine if a vector field is conservative, we need to check if it satisfies the criteria for being conservative, which is the existence of a scalar potential function.

A vector field is conservative if it can be expressed as the gradient of a scalar potential function. In other words, if we can find a scalar function such that the vector field is the gradient of that function.

If we have the vector field F = (P, Q), where P and Q are the components of the vector field, we can check if it is conservative by taking the partial derivatives of P and Q with respect to their respective variables (x and y) and see if they are equal. If the partial derivatives are equal, then the vector field is conservative.

For example, if we have the vector field F = (2x, 3y), we take the partial derivatives:

∂P/∂y = 0

∂Q/∂x = 0

Since the partial derivatives are equal, this vector field is conservative.

So, based on the given vector fields, we need to check if each one satisfies the criteria for being conservative by taking the partial derivatives and comparing them.

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Answer: 1271

Step-by-step explanation:

620 + (105% × 620) =

620 + 105% × 620 =

(1 + 105%) × 620 =

(100% + 105%) × 620 =

205% × 620 =

205 ÷ 100 × 620 =

205 × 620 ÷ 100 =

127,100 ÷ 100 =

1,271

Answer:

$129

Step-by-step explanation:

Let us represent:

Cost Adult tickets = x

Cost Children's tickets = y

The total cost of ticket = C =

A family goes to an amusement park adult tickets cost $21 children under 10 years of age pay $15

C = $21 × x + $15 × y

C = 21x + 15y

The total cost of 4 adult tickets and 3 children's tickets is calculated as:

C = 21 × 4 + 15 × 3

C = 84 + 45

C = $129

Answer:

2r^2+(6+5)r+15=0

2r^2+6r+5r+15=0

2r(r+3)+5(r+3)=0

(r+3)(2r+5)=0

Answer:

r = - 3, r = - \(\frac{5}{2}\)

Step-by-step explanation:

Given

2r² + 11r + 15 = 0

Consider the factors of the product of the coefficient of the r² term and the constant term which sum to give the coefficient of the r- term.

product = 2 × 15 = 30 and sum = 11

The factors are + 6 and + 5

Use these factors to split the r- term

2r² + 6r + 5r + 15 = 0 ( factor the first/second and third/fourth terms )

2r(r + 3) + 5(r + 3) = 0 ← factor out (r + 3) from each term

(r + 3)(2r + 5) = 0

Equate each factor to zero and solve for r

r + 3 = 0 ⇒ r = - 3

2r + 5 = 0 ⇒ 2r = - 5 ⇒ r = - \(\frac{5}{2}\)

 For angle group G1 (0, 90, 180, 270, 360 degrees), the values of sin(theta), cos(theta), tan(theta), and vector A can be calculated. The same calculations can be performed for angle groups G2 (30, 120, 210, 300 degrees) and G3 (45, 135, 225, 315 degrees). The results are summarized in the tables below.

In order to find the values of sin(theta), cos(theta), and tan(theta) for each angle in the given angle groups, we can use the basic trigonometric functions. The values of sin(theta), cos(theta), and tan(theta) are dependent on the angle theta, which is measured in degrees.
Angle Group G1 (0, 90, 180, 270, 360 degrees):
For each angle in this group, we can calculate the values of sin(theta), cos(theta), and tan(theta) using a scientific calculator or trigonometric tables. The vector A, which represents the magnitude of the vector with components A_x and A_y, can be determined using the formula A = sqrt(A_x^2 + A_y^2), where A_x and A_y are the x and y components of the vector, respectively.
Angle Group G2 (30, 120, 210, 300 degrees):
Similar to G1, we can calculate sin(theta), cos(theta), and tan(theta) for each angle in G2 using trigonometric functions. The vector A can be determined using the same formula mentioned earlier.
Angle Group G3 (45, 135, 225, 315 degrees):
Again, we apply the trigonometric functions to find sin(theta), cos(theta), and tan(theta) for each angle in G3. The magnitude of vector A can be obtained using the formula mentioned above.
By performing these calculations, we can complete the tables, providing the values of sin(theta), cos(theta), tan(theta), and vector A for each angle group as required.

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Answer:

50°

Step-by-step explanation:

Hi! Angle 3 and Angle 1 are supplementary pair, which means they equal 180°. We can add these two expressions together to solve for x:

Angle 3 + Angle 1 = 180

(10x) + (2x + 24) = 180

10x + 2x + 24 = 180 combine like terms

12x + 24 = 180 subtract 24

12x = 156 divide by 12

x = 13

Now we'll use x to find Angle 1:

2x + 24

2(13) + 24

26 + 24

50

Angles 1 and 2 are congruent, so if Angle 1 is 50°, Angle 2 is also 50°

Answer:

331 the biggest possible number

The Lewis dot structure for BF2 is:

 F     B     F

  \   /    

   B    

  /   \

 F     B     F

In this molecule, there are three atoms (one boron and two fluorine) and a total of 12 valence electrons. Boron is in group 3, so it has 3 valence electrons, while each fluorine atom has 7 valence electrons.

To form the Lewis dot structure, we first place the atoms in a linear arrangement. Each fluorine atom shares one electron with the boron atom, giving a total of two shared electrons (or one bond) between the boron and each fluorine atom. This gives us a total of four electrons (or two bonds) between the boron and the two fluorine atoms.

The remaining four electrons are placed as nonbonding electron pairs around each fluorine atom to satisfy the octet rule. Therefore, there are a total of two bonding domains and two nonbonding electron domains around the boron atom. The electron domain geometry is tetrahedral, and the molecular geometry is linear.

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The answer of the provided question is  the addition property of equality and then the division property of equality

Regardless of the sequence in which the numbers are added, the total of any two or more numbers is always the same. This characteristic may be expressed in the formula A + B = B + A. For instance, 2 + 4 Equals 4 + 2 = 6. As a result, both sets add up to 6, therefore 2 + 4 = 4 + 2.

We have multiplied both sides of the equation by 5 to move from Step 1 to Step 2:

\(-3x -5 +5 = 13 +5\\ -3x = 18\)

We have divided both sides of the equation by -3 to go from Step 2 to Step 3:

\(-3x/-3 = 18/-3\\ x = -6\)

These procedures can be categorized as...

first the equality's addition property, then its division property

However, since multiplication and division are the same thing, but with reciprocal numbers, and since addition and subtraction are the same thing, but with opposite numbers, any of the above answers may theoretically be right.

(adjust 5, divide by -3) = (adjust 5, multiply by -1/3)

(subtract 5 and divide by 3) equals (subtract 5 and multiply by 1/3).

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The amount of pounds of clay left is given by the equation A = 0.51 pounds

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The total amount of pounds of clay = 3.8 pounds

Now , the amount of clay used by Martha = ( 1/4 ) of the total

So , the amount of clay used by Martha = ( 1/4 ) x 3.8 = 0.95 pounds

And , the remaining amount of clay = 3.8 - 0.95 = 2.85 pounds

Now , the amount of clay used by Scott = ( 2/5 ) of the remaining

So , the amount of clay used by Scott = ( 2/5 ) x 2.85 = 1.14 pounds

And , the remaining amount of clay = 2.85 - 1.14 = 1.71 pounds

On simplifying the equation , we get

Now , the amount of clay used by Alison = 1.2 pounds

So , the remaining amount of clay = 1.71 - 1.2 = 0.51 pounds

Hence , the remaining amount of clay = 0.51 pounds

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Answer:

2100

Step-by-step explanation:

2000+400= 2400

2400-300= 2100

Answer:-1

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

the line pass through (-3,-6)

A cylinder with a radius of 6 inches and a height of 5 inches is produced if rectangle ABCD is rotated around line m.

A solid figure is a 3-dimensional shape (length, width, and height) so that it has a volume inside. Examples of solid figures are prism, cylinder, cone, pyramid, and so on.

From the question we get the following information:

- rectangle ABCD

- line m divides side AB into 2, each 6 inches

- the length of side AD and BD is 5 inches

So, when we rotate rectangle ABCD around line m, it will produce a cylinder, with:

- cylinder height = AD = BD = 5 inches

- cylinder diameter = 1/2 AB = 6 inches

To get the best illustration of the problem, we can draw rectangle ABCD and line m.

So the solid figure produces if we rotate rectangle ABCD around line m is a cylinder with a radius of 6 inches and a height of 5 inches.

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Answer: D) cylinder; radius = 6 in.; height = 5 in.

Step-by-step explanation:

Edege 2023

Answer:

The probability of kate choosing a two digit number is very likely. The probability of choosing a prime number is less likely

Step-by-step explanation:

There are 21 out of 31 two digit numbers in the month of August. Which makes 70% of numbers double digit.

There are only about 11 prime numbers out of the 31 days in August. That makes it only about a 11.1 percent chance of kate choosing a prime number.