what’s the sum of g and -7

D = RT

Where

D is distance

R is speed

T is time

Distance of student 1:

Distance of student 2:

Now,

When they meet, their distance would total 100, so we can write:

We can also write:

Answer:

The slope of the tangent line to the curve at the given point is -11/7.

Step-by-step explanation:

Differentiation is an algebraic process that finds the gradient (slope) of a curve.  At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.

Given function:

\(4x^2+5xy+y^4=370\)

To differentiate an equation that contains a mixture of x and y terms, use implicit differentiation.

Begin by placing d/dx in front of each term of the equation:

\(\dfrac{\text{d}}{\text{d}x}4x^2+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=\dfrac{\text{d}}{\text{d}x}370\)

Differentiate the terms in x only (and constant terms):

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=0\)

Use the chain rule to differentiate terms in y only. In practice, this means differentiate with respect to y, and place dy/dx at the end:

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Use the product rule to differentiate terms in both x and y.

\(\boxed{\dfrac{\text{d}}{\text{d}x}u(x)v(y)=u(x)\dfrac{\text{d}}{\text{d}x}v(y)+v(y)\dfrac{\text{d}}{\text{d}x}u(x)}\)

\(\implies 8x+\left(5x\dfrac{\text{d}}{\text{d}x}y+y\dfrac{\text{d}}{\text{d}x}5x\right)+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

\(\implies 8x+5x\dfrac{\text{d}y}{\text{d}x}+5y+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Rearrange the resulting equation in x, y and dy/dx to make dy/dx the subject:

\(\implies 5x\dfrac{\text{d}y}{\text{d}x}+4y^3\dfrac{\text{d}y}{\text{d}x}=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}(5x+4y^3)=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8x-5y}{5x+4y^3}\)

To find the slope of the tangent line at the point (-9, -1), substitute x = -9 and y = -1 into the differentiated equation:

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8(-9)-5(-1)}{5(-9)+4(-1)^3}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{72+5}{-45-4}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{77}{49}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{11}{7}\)

Therefore, slope of the tangent line to the curve at the given point is -11/7.

The solutions of the system of inequalities are:

(0, 3)

(6, 2)

Here we have the graph of a system of inequalities, the solutions are all the points on the area where the two shaded regions intercept (it would be on the purple area).

And we can see that one line is solid, the points on that line are solutions, the other line is dashed, the points on that line are not solutions.

Then the points that are solutions are:

(0, 3)

(6, 2)

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Answer:

A (2, 4)

B (-6, 4)

C (-6, 2)

D (2, 2)

Step-by-step explanation:

If it is being reflecting across the y-axis, the rule is this:

(x, y) ---> (-x, y)

So...

A (-2, 4) ---> (2, 4)

B (6, 4) ---> (-6, 4)

C (6, 2) ---> (-6, 2)

D (-2, 2) ---> (2, 2)

Answer:

8a

Step-by-step explanation:

3a + 5a = 8a

I hope this helped!

Answer:b

Step-by-step explanation:

Therefore , the solution of the given problem of Inline view comes out to be this query is present in the FROM clause of other SELECT statement.

Inline view:-It is not a real view instead it is a sub-query or a SELECT statement in the FROM clause of the of another select statement. In the query provided we have a sub - query which is displaying category and Average of retail from the books table and this query is present in the FROM clause of other SELECT statement.

Here.

Given :

You can experiment with different ways of arranging these categories. Then, count the items in each category, and

record the information in the table

Thus , the solution of the given problem of Inline view comes out to be

this query is present in the FROM clause of other SELECT statement.

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The system of equations that could be used to determine the number of small cars rented and the number of large cars rented is;

x + y = 10

x + y = 105x + 7y = 66

Let

Number of small cars rented = x

Number of large cars rented = y

x + y = 10

x + y = 105x + 7y = 66

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Answer:

17

Step-by-step explanation:

The answer is 17 because the operation PEMDAS

Answer:

17

Step-by-step explanation:

20/ 4+6x2 can be simplified. First, you can divide 20 by 4 because of the order PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction) 20 divided by 4 is 5. You can then multiply 6 and 2 which gives you 12. Therefore, your equation is down to 5+12. You can add those two and you get 17 :) Hope this helps!! :D ~Happy Halloween~

Answer:

the letter "x" is often used in algebra to mean a value that is not known yet. It is called a 'varaible' or sometimes unknown.

Answer:

It is 65, B

Step-by-step explanation:  because  180-115=65 tell me if you dont get it

Answer:

66-26 = 40

Step-by-step explanation:

u = 40 degrees

We know that :

The sum of two angles that are complementary = 90°

Smaller angle = x

Larger angle = 2x

We can make the formula as

= 2x + x = 90°

= 3x = 90°

= x = 90 ÷ 3

= x = 30

The smaller angle = x = 30°

The larger angle = 2x = 30 × 2 = 60°

Therefore , the measure of each of the angles are 30° and 60° .

It should be noted that the power that the volunteers use to pushe the van is 200 watts.

From the information, they used a total force of 1,200 newtons and ater pushing the Van for 15 minutes, they were able to move the van 150 meters away from your house.

It should be noted that power is calculated as:

Power = Force × Displacement / Time

Force = 1200 Newton

Displacement = 150 meters

Time = 15 minutes = 15 × 60 = 900 seconds.

Therefore, the power that the volunteers use to pushe the van is:

Power = Force × Displacement / Time

=(1200 × 150) / 900

= 200 Watt.

Therefore, it should be noted that the power that the volunteers use to pushe the van is 200 watts.

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Answer:

6

Step-by-step explanation:

-6 to 6 is 12 units

Roland's percent error is approximately 3.889%.

This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.

The positive sign indicates that Roland's measured value is slightly lower than the actual value.

To calculate Roland's percent error, we can use the formula:

Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100

Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:

Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100

Simplifying the expression within the absolute value:

Percent Error = (|-0.007| / 0.180) \(\times\) 100

Since the absolute value of -0.007 is 0.007, we have:

Percent Error = (0.007 / 0.180) \(\times\) 100

Calculating the division:

Percent Error = 0.03889 \(\times\) 100

Percent Error = 3.889%.

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Answer:

16.2 feet

Step-by-step explanation:

Reference angle = 62°

Opposite = x

Adjacent = 8.6

Apply trigonometric function, TOA:

Tan 62 = Opp/Adj

Tan 62 = x/8.6

8.6 × Tan 62 = x

16.1742476 = x

x = 16.2 ft (nearest tenth)

Answer:sum: -1/6

Step-by-step explanation:

The solution of the equation -x² + 4 = x + 2 is at x = -2 and x = 1

An equation is an expression that shows how numbers and variables are related to each other.

Given the quadratic equation:

-x² + 4 = x + 2

Collecting like terms:

x² + x - 2 = 0

Plotting using a graph; the solution of the equation can be gotten by getting the point the graph crosses the x axis.

The solution is at x = -2 and x = 1

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Explanation:

The period of a function measures how long a cycle takes. Think of tides on a beach. There's a regular pattern that can be predicted whether its high tide or low tide. Time is often the critical component with the period. Since choice D mentions time and the key term "repeat", this is why it's the answer.

The other values, while useful elsewhere, aren't going to tell us anything about the period. The initial value being 5 doesn't tell us when y = 5 shows up again, and if the function is repeating itself at this point or not. So info about choice A is not sufficient to determine the period. The same goes for choices B and C as well.

Answer:

Please find the answer in the explanation

Step-by-step explanation:

RULER

measurements taken by ruler can be limited due to absolute errors, zero error and uncertainties.

1.) If the end of the ruler is worn out giving rise to a zero error

2.) The calibration of the ruler may give rise to another systematic error if the makings are incorrect.

3.) If the object to be measured is not on the same level as graduated surface of the ruler, the angle at which the scale is viewed will affect the result. This is known as parallax error.

SCALE

Systematic error can occur in a scale when the scale is wrongly calibrated.

Also, reading a scale from different angles introduces a variable parallax error.

random uncertainty could be a parallax error caused by taking readings from different angles. This can be reduced by the use of a mirror behind the scale and viewing normally.

Answer:

The area of the rectangle would be 7

Step-by-step explanation:

Answer:

(-74)/15

Step-by-step explanation:

Simplify the following:

(1 + 5/9)/((-2)/3) - (2 + 3/5)

Multiply the numerator of (1 + 5/9)/((-2)/3) by the reciprocal of the denominator. (1 + 5/9)/((-2)/3) = ((1 + 5/9)×3)/(-2):

((5/9 + 1) 3)/(-2) - (2 + 3/5)

Put 1 + 5/9 over the common denominator 9. 1 + 5/9 = 9/9 + 5/9:

(9/9 + 5/9 3)/(-2) - (2 + 3/5)

9/9 + 5/9 = (9 + 5)/9:

((9 + 5)/9×3)/(-2) - (2 + 3/5)

9 + 5 = 14:

(14/9×3)/(-2) - (2 + 3/5)

14/9×3 = (14×3)/9:

((14×3)/9)/(-2) - (2 + 3/5)

((14×3)/9)/(-2) = (14×3)/(9 (-2)):

(14×3)/(9 (-2)) - (2 + 3/5)

3/9 = 3/(3×3) = 1/3:

14/(3 (-2)) - (2 + 3/5)

The gcd of 14 and -2 is 2, so 14/(3 (-2)) = (2×7)/(3 (2 (-1))) = 2/2×7/(3 (-1)) = 7/(3 (-1)):

7/(3×-1) - (2 + 3/5)

Put 2 + 3/5 over the common denominator 5. 2 + 3/5 = (5×2)/5 + 3/5:

7/(-3) - (5×2)/5 + 3/5

5×2 = 10:

7/(-3) - (10/5 + 3/5)

10/5 + 3/5 = (10 + 3)/5:

7/(-3) - (10 + 3)/5

10 + 3 = 13:

7/(-3) - 13/5

Multiply numerator and denominator of 7/(-3) by -1:

(-7)/3 - 13/5

Put (-7)/3 - 13/5 over the common denominator 15. (-7)/3 - 13/5 = (5 (-7))/15 + (3 (-13))/15:

(5 (-7))/15 + (3 (-13))/15

5 (-7) = -35:

(-35)/15 + (3 (-13))/15

3 (-13) = -39:

(-35)/15 + (-39)/15

-35/15 - 39/15 = (-35 - 39)/15:

(-35 - 39)/15

-35 - 39 = -(35 + 39):

(-(35 + 39))/15

| 1 |  

| 3 | 9

+ | 3 | 5

| 7 | 4:

Answer: (-74)/15

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

The inequality represented by the graph is given as follows:

y > 3x - 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

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The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.

The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.

There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.

Therefore, the correct option is D

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See full text below

A group of individuals fitting a description is the _____

Which of the term below fit the description above.

A.census

B.sample

C.parameter

D.population

Using scientific notation, it is found that the numbers in two ways are given as follows:

1. \(1.812 = 0.1812 \times 10^1 = 18.12 \times 10^{-1}\).

2. \(37.63 = 3.763 \times 10^1 = 0.3763 \times 10^2\)

A number in scientific notation is given by:

\(a \times 10^b\)

We can keep converting a number in infinite ways, as follows:

Hence the two ways to write each number are given as follows:

1. \(1.812 = 0.1812 \times 10^1 = 18.12 \times 10^{-1}\).

2. \(37.63 = 3.763 \times 10^1 = 0.3763 \times 10^2\)

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Answer:

1. 3=x   2. no solution   3. infinate

Step-by-step explanation:

1. x=-5x+18

  +5x  +5x

6x=18

18/6=3

3=x

2.  3x-5=7+3x

     -3x       -3x

-5=7 No solution

3.   1/4(8x-12)=2x-3

        2x-3=2x-3

       -2x       -2x

     -3=-3

infinate

9514 1404 393

Answer:

  x = -1

Step-by-step explanation:

You want ...

  f(x) = g(x)

  -2x -8 = 4x -2

  -6 = 6x . . . . . . . . . . add 2x +2

  -1 = x . . . . . . . . . . divide by 6

Answer:

45

Step-by-step explanation:it gives you the answer chiices if you plug each number into x and then do the equation you will get 180

Answer:  45

Step-by-step explanation:

Did the test.