Answer to this question

Answer:

  0.1468 ohms per second

Step-by-step explanation:

You want the rate of change of R when ...

The desired rate of change is the derivative of R with respect to time. Implicitly differentiating the given relation with respect to time, we have ...

  -R'/R² = -r1'/r1² -r2'/r2²

  R' = R²(r1'/r1² +r2'/r2²)

Using the given relation and values, we have ...

  1/R = 1/70 +1/120 = 190/(70·120)

  R = (840/19)

  R' = (840/19)(0.3/70² +0.2/120²) = 53/361 ≈ 0.1468

The rate of change of R is about 0.1468 ohms per second.

Additional comment

Most graphing calculators can figure this value for you.

The perimeter of a rectangle is the sum of its 4 sides:

From the big triangle we know that:

From the triangle on the right we also know that:

From the triangle on the left we know:

Adding the last two equations we have that:

Equating the last equation with the first one we have that:

Then, the height of the triangle is the squared root of 27.

Once we know the height we can calculate the area.

Therefore the exact value of the area is:

This can be approximated to (rounding on the hundreths):

A basketball game does not end in a tie. This means that it is either the team wins the game or they draw the game. These outcomes are independent becuase winning one game has no effect on the outcome of the next game. This means that we have a binomial distribution here. the formula for binomial distribution is expressed as

P(x) = nCx * p^x * q^(n - x)

where

n is the number of trials

x is the number of successess

p is the probability of success

q is the probability of failure

We are concerned with the outcome of winning. This means that success is when the team wins. Thus,

p = 4/7

q = 1 - p = 1 - 4/7 = 3/7

n = 15

x = 8

We want to find P(x = 8)

By applying the binomial distribution formula,

P(x = 8) = 15C8 * (4/7)^8 * (3/7)^(15 - 8)

P(x = 8) = 6435 * (4/7)^8 * (3/7)^7

P(x = 8) = 0.194

The probability that in a season of 15 games they will win exactly 8 games is

0.194

Answer:

- 28

Step-by-step explanation:

-2 + { -3 - [ 7 + 4·( -2 + 5 ) ] } - 4

1)

( -2 + 5 ) = 3

2)

[ 7 + 4·3  ]  = [ 7 + 12 ] = 19

3)

{ -3 - 19 } = - 22

4)

- 2 + ( -22) - 4 = -2 - 22 - 4 = - 28

The answer is B: 31.4%

Using a graphic calculator you have:

Mean: 7

SD: 18

Lower bound: 5.8

Upper bound: 7.3

Solution

Note: Equation of a Line os given as

We are given that the slope is -4/5

That is m = -4/5

It has x intercept of 3, that is the point (3, 0)

Substituting we have

The graph of the line is

Given the function:

x^2 + 2x - 8

x^2 - 2x - 8

we are to find the zeros of the function.

To find the zero of a function, we find the root of the numerator.

That is, equsting the numerator to zero

x^2 + 2x - 8 = 0

lets get factor of the above eqaution

= x^2 - 2x + 4x + 8

x(x-2) + 4(x-2) = 0

so,

x + 4 = 0 OR x - 2 = 0

x + 4 = 0

x = -4

OR

x - 2 = 0

x = 2

so, x = -4, 2

Therefore the zeros of the function x^2 + 2x - 8 are -4, 2

x^2 - 2x - 8

So, the correct option is D which is -4, 2

Using pythagorean theorem:

Answer:

As shown on the graph:

y-intercept is the value of y at which x = 0

so, from the graph when x = 0 , y = -3

To find the slope use two points to calculate it

Using the points (0 , -3) and ( 4 , 4 )

the slope = Rise/Run

Rise = 4 - (-3) = 4 + 3 = 7

Run = 4 - 0 = 4

so, the slope = 7/4

The slope intercept form of the line is y = mx + c

Where m is the slope and c is y-intercept

Slope = m = (7/4)

y-intercept = c = -3

So,

y = (7/4) x - 3

Answer:

34 degrees

Explanation;

Using the theorem below to solve the problem;

Angle at the vertex is equal to to half of the difference of angles of its intercepted arcs

Angle at the vaertex = z

difference of angles of its intercepted arcs = 108 - 40

difference of angles of its intercepted arcs = 68

Using the theorem

z = 1/2(108-40)

z = 1/2 * 68

z = 34 degrees

Hence the value of z is 34 degrees

EXPLANATION

A special form of average is the Geometric Mean, where we sum the numbers together and then take a square root (for two numbers), cube root (for three numbers), etc.

The geometric mean between 10 and 25 is equal to:

sqrt(10*25)= 15.81

Answer is 5*sqrt(10) or 15.81

The resulting value of the division of x²+x-4 by (x+3),

Quotient = x - 2

Remainder = 2

Division:

The process of division means the process of breaking a number up into equal parts, and finding out how many equal parts can be made.

Given,

Here we have the expression x²+x-4.

Now, we need to divide by the expression (x + 3).

Here we have to use the long division method in order to solve it.

The following steps are followed to solve this:

1. Divide the first term of the dividend by the first term of the divisor

2. Write down the calculated result x in the upper part of the table.

3. Multiply it by the divisor

4. Subtract this result from the dividend

This steps is repeated until no further division.

Thus process will be showed on the attached figure.

To know more about Division here.

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Total number of drinks sold = 45 + 31 + 47 +27 = 150

Lemonade and ice tea = 45 +27 = 72

Divide the number of lemonades and ice tea drinks sold, by the total number of drinks sold.

72 / 150 = 0.48

Multiply by 100

0.48 x 100 = 48% (option A)

Answer:

x = -72

Step-by-step explanation:

3(2x + 11) + 4(2x + 3) = 9(2x + 13) - 3x

(6x + 33) + (8x + 12) = (18x + 117 ) - 3x

14x + 45 = (18x + 117) - 3x

14x + 45 = 15x + 117

                         -45

14x  = 15x + 72

-15x

-1x = 72

       /-1

x = -72

The equation of the revenue is y = -500/3x + 3000 and the daily sales for $7.50 is $1750

The points are given as

(6, 2000) and (8, 1000)

Calculate the slope of the points using the following slope formula

m= (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (6, 2000) and (8, 1000)

Slope = m

So, we have

m = (1000 - 2000)/(8 - 2)

Evaluate the expression

m = -500/3

The equation of the line is then calculated using the line equation formula

y = m(x - x₁) + y₁

Where

(x₁, y₁) = (6, 2000)

So, we have

y = -500/3(x - 6) + 2000

Expand

y = -500/3x + 3000

This means that

x = 7.50

Recall that

y = -500/3x + 3000

Substitute x = 7.50

y = -500/3 x 7.50+ 3000

Evaluate

y = 1750

So, the daily sales is $1750

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(5x)(-2x) in words is Five times x multiplied by negative two times x

Using variables, constants, and algebraic operations, an expression can be described as an algebraic expression in mathematics (addition, subtraction, etc.). Terms are used to construct expressions. Any combination of a number, a variable, and operation symbols is considered an expression. Two expressions are combined to form an equation, which is joined by the equal sign. Example of a word: The product of 8 and 3. Word illustration: 11 is the result of adding 8 and 3.

Given Data

Expression

(5x)(2x)

Translating algebraic expression into verbal expression:

Five times x multiplied by negative two times x

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Given the word expression:

Triple c, then raise to the 10th power.

Here the exponent of triple c is 10.

To express the above, we have:

Thus, we the expression below:

ANSWER:

Answer:

145

Step-by-step explanation:

168-23 = 145

    i hope this helps :)

hi, for solve this question we need to use the formula below:

First, the area of the base:

Now, the area of each triangular side:

we have the base as 4in, and the height as 9in.

So, using the formula:

Now, let's sum all of the values:

4 triangular sides + 1 quadrangular side

(4 * 18in) + (1 * 16in)

72in² + 16in² = 88in²

Answer: ALTERNATIVE NUMBER 2. 88in²

SOLUTION:

Step 1;

In this question, we are given the following;

Jessica used 2/3 yard of fabric to make scarf can she make 2 of these scarfs with 1 3/4 yards of fabric, and why?

Step 2:

The details of the solution are as follows;

The options that describes a single transformation that compares the graph of g with the graph of f are;

B) The graph of g is shifted 3 units right.

C) The graph of g is shifted 3 units up.

Transformation is a method required to resize or change the orientation of a given shape or figure. The types of transformation are translation, reflection, rotation, and dilation.

Translation is a method of transformation that involves moving an object or shape from one point to another without changing any dimension.

Reflection is a method of transformation that involves flipping a given figure about a given reference point or line. In order words, a mirror image of the original object.

Rotation is a method of transformation that involves  turning a given figure at an angle about a reference point.

Dilation is a method of transformation whereby the length of the sides of the figure is either increased or decreased.

Now, looking at the given graph, we see that the line showing the graph g is clearly shifted by either 3 units to the right or 3 units upwards to get the function line f.

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Given

And

To find the value of I(x).

Explanation:

It is given that,

Then,

Hence, the answer is I(x)=64x³-32x².

Retail price = $37.5

Original price = $30

Markup = $7.5

Retail price = cost price + markup

cost price = Original price = $30

Retail price = $30 + $7.5

Retail price = $37.5

we have the list

12, -4, -9,2, -2

rewrite in increasing order from left to right

The answer is

Given:

a.) A cube is partially filled with 4 mm of water.

b.) The water is 1 mm high

Let's draw the scenario to better understand the problem,

Answer: -1 -3/4

Step-by-step explanation:

1.Move terms to the left side

4x^{2}+3=-7x

4x^{2}+3-\left( -7x\right) =0

2.Rearrange terms

4x^{2}+3+7x=0

4x^{2}+7x+3=0

3.Use the quadratic formula

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

4x^{2}+7x+3=0

4.Simplify

Evaluate the exponent

Multiply the numbers

Subtract the numbers

Evaluate the square root

Multiply the numbers

-7+1/8

5.Separate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

x=\frac{-7+1}{8}

x=\frac{-7-1}{8}

6.Solve

Rearrange and isolate the variable to find each solution

x=-\frac{3}{4}

x=-1