Let log_b 4= G and log_b9= S. Write the expression in terms of G and S

The formula for the perimeter of the rectangle is:

P(x) = 14x - 16

We know that for a rectangle of length L and width W the perimeter is given by the formula:

P = 2*(W + L)

In this case we know that:

W = 2x - 1

L = 5x - 7

Replacing that in the perimeter formula we get:

P(x) = 2*(2x - 1 + 5x - 7)

Now we can simplify this so we get:

P(x) = 2*(2x + 5x - 1 - 7)

P(x) = 2*(7x - 8)

P(x) = 14x - 16

That is the perimeter of the rectangle in terms of x.

Learn more about perimeter:

https://brainly.com/question/24571594

#SPJ1

Answer:

it's decimal value then it is 11.1803399.

The integer close to it is 11

Step-by-step explanation:

let's square this :

4² × 5 = 16 × 5 = 80

the closest squared integer is 81 (9²).

so, the closest integer to 4×sqrt(5) is 9.

The system of equations has its solutions to be (0, 3)

From the question, the system of equations is represented on the graph

On the graph, we have the following representations

Say the functions are f(x) and g(x)

To determine the solution to the system of equations, we set both equations equal

i.e. f(x) = g(x)

This in other words mean that we determine the coordinates of the points where the graphs intersect

In this case, they intersect at point (0, 3)

This represents the solution

Hence, the solution to the system of equations is (0, 3)

Read more about system of equations at

brainly.com/question/13729904

#SPJ1

The linear function that is graphed on the grid is g(x) = (15/2)x + 45   , the correct option is (d) .

In the question ,

a linear function graph is shown ,

we have to find that linear function .

So , From the given graph we can see that

the graph passes from the points (2 , 60) and (6 , 90)

in order to find the equation , we first need to find the slope .

slope = (90 - 60)/(6 - 2)

= 30/4

= 15/2

So , the equation of the line passing through the points (2 , 60) and slope 15/2 is

(y - 60) = 15/2(x - 2)

y - 60 = (15/2)x - 15

Adding 60 to both the sides ,

we get

y - 60 + 60 = (15/2)x - 15 + 60

y = (15/2)x - 15 + 60

y =  (15/2)x + 45

function is (15/2)x + 45

Therefore , The linear function that is graphed on the grid is g(x) = (15/2)x + 45  .

The given question is incomplete , the complete question is

Which linear function is graphed on the grid shown below ?

(a) g(x) = (2/15)x - 6

(b) g(x) = (2/15)x + 45

(c) g(x) = (15/2)x - 6

(d) g(x) = (15/2)x + 45

Learn more about Graphs here

https://brainly.com/question/23719749

#SPJ1

1:3

= 15:45

= 15/45

= 15/45 {can be divided by 15}

= 15/15 = 1 ; 45/15 = 3

Therefore, 15/45 is 1/3

                  15:45 is 1:3

Answer:

Step-by-step explanation:

The evaluated expression of (6x+3y) - z² divide by 2x when x = -3, y = 4 and z = -6 is 5.3

An algebraic expression consists of unknown variables, numbers and arithmetic operators.

Therefore, let's evaluate the expression, (6x+3y) - z² divide by 2x when x = -3, y = 4 and z = -6.

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.

In other words, to evaluate the expression, we have to substitute the given value of the variable and simplify the expression.

Therefore,

(6x+3y) - z² = (6(-3)+3(4)) - (-6)² = (-18 + 12) - 36 = -32

2x = 2(-3) = -6

Hence,

- 32 / -6 = 5.3

Therefore,

(6x+3y) - z² / 2x when  x = -3, y = 4 and z = -6 is 5.3

learn more on evaluation here: https://brainly.com/question/28276158

#SPJ1

The standard form of polynomial is x^2 + 9x - 1/10

To write the equation in standard form, look at the degree of highest term and then rewrite the equation in decreasing order of degree i.e. from highest to lowest.

The given polynomial is

⇒ x^2 + 9x - 1/10

The standard form of the polynomial is

⇒ x^2 + 9x - 1/10

Learn more about polynomial here

https://brainly.com/question/15313798

#SPJ1

There are 28 which is 256. That means there are 256 different values you can store in a byte, since a byte is eight bits. There are 256 eight-bit ASCII codes, for instance.

1 byte = 8 bits

Number of bits = [tex]2^{8}[/tex]

= 2*2*2*2*2*2*2*2

= 4*2*2*2*2*2*2

= 8*2*2*2*2*2

= 16*2*2*2*2

= 32*2*2*2

= 64*2*2

= 128*2

= 256 bits.

Therefore that means there are 256 different values you can store in a byte, since a byte is eight bits.

Learn more about bit and length here:

https://brainly.com/question/14486092

#SPJ1

Based on the given equation and the given value of (), the value of 5() from the equation is 490

If

() = 94 + 2 + 2

The equation can be solved by substituting the value of () into 5()

Substituting is the method of inserting the known value of a variable into an equation to solve for the value of the equation.

Then,

(5)()

= 5(94 + 2 + 2)

= 5(98)

= 490

So therefore, the value of 5() is given by 490.

Read more on equation:

https://brainly.com/question/2972832

#SPJ1

The number of solutions in the equation 3x² + 4x - 5=0 is (b) two real solutions

The equation is given as:

3x² + 4x - 5=0

A quadratic equation is represented as:

ax² +bx + c=0

Where the discriminant is:

d = b² - 4ac

So, we have:

d = 4² - 4 * 3 * -5

Evaluate

d = 76

If the discriminant is greater than 0, then the equation has 2 real roots.

Hence, the number of solutions is (b) two real solutions

Read more about discriminant at:

brainly.com/question/9970081

#SPJ1

The lower and upper limit of the 95% confidence interval is 183.2 and 196.0 unit.

What is a confidence interval ?

When you run your experiment again or resample the population in the same way, you can expect your estimate to fall within a certain range of values a certain percentage of the time. This is known as the confidence interval.

Main Body:

Given in question :

x- bar = 189.6

standard deviation = 10

C.I. = 95% =0.95

N=12

so, degree of freedom (D.F) = N-1 = 11

confidence  level (α) = (1- C.I.)/2

                                  = 0.025

according to t- distribution table for d.f = 11 and α= 0.025  , my result is 2.201

Now dividing standard deviation by square root of samples, we get

= 10/√12= 2.887

Lower limit = Mean - 2.201*2.887

                  = 189.6- 6.354

                  = 183.246

Upper limit = Mean + 2.201*2.887

                  = 189.6 + 6.354

                  = 195.954

Hence the result is 183.2 and 196.

to learn more about confidence interval , visit;

https://brainly.com/question/15712887

#SPJ13

Answer:

Step-by-step explanation 2/3 is the answer :

The required probability, that she chooses low-fat yogurt is 2/3.

Given that, a cooler is filled with containers of yogurt. Some of the containers have low-fat yogurt and some have non-fat yogurt. There are three flavors for each type of yogurt, as shown in the table.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,

From the given,
Sample space = 24

Low Fat =16
Non-fat = 8

The probability that she chooses low-fat yogurt
= 16/24
= 2/3

Thus, the required probability, that she chooses low-fat yogurt is 2/3.

Learn more about probability here:

brainly.com/question/14290572

#SPJ5

Answer:

120 free throw attempts

Step-by-step explanation:

[tex]95\%=0.95[/tex]

[tex]0.95x=114[/tex]

[tex]x=\frac{114}{0.95}[/tex]

[tex]x=120[/tex]

The calculation of the ratios, resulting from the square feet occupied by both departments, and the amounts of overhead allocated to the two departments are as follows:

                            Ratio      Amount

Department A       1/5        $10,000

Department B      4/5       $40,000

The ratio is the numerical relationship shared by two or more values.

Ratios are fractional values and are depicted using fractions, decimals, and percentages.

Ratios, like proportions, show how much a value or variable is contained in another.

Total overhead = $50,000

Department   Square Feet  Ratio    Amount of Overhead Allocated

Dept. A            20,000         A = 1      B = $10,000 ($50,000 x 1/5)

Dept. B            80,000         C = 4     D = $40,000 ($50,000 x 4/5)

Ratios = 20,000:80,000

= 1:4

Sum of Ratios = 5

Thus, based on the cost driver allocation ratios, Department A will bear $10,000, while Department B will be allocated $40,000.

Learn more about ratios at https://brainly.com/question/12024093

#SPJ1

Answer:

8x + 29

Step-by-step explanation:

[tex]5(x + 7) + 3(x–2) \\ 5 \times x + 5 \times 7 + 3 \times x - 3 \times 2 \\ 5x + 35 + 3x - 6 \\ 5x + 3x + 35 - 6 \\ 8x + 29[/tex]

Graph 2 represents that the function is positive for the entire interval [-3,-2].

Every possible input value results in exactly one output value in a function. "The output is a function of the input," we state. The domain is made up of the input values, while the range is made up of the output values.

Four different graphs for various functions are provided. We must identify the graph that is positive throughout the range [-3,-2].

We make the following observation from the given graphs.

1. The function in graph 1 has a value of 0 at -3 and decreases in value from -3 to -2. As a result, in the provided interval, the function is negative.

2. Graph 2 makes it abundantly evident that the function has a positive value for the entire specified interval.

3. In graph 3, the function shows a negative value entirely in the given interval.

4. In graph 4, the function exhibits both positive and negative values in the given interval and is not positive in the entire interval.

Thus, the function in graph 2 is positive for the entire interval [-3,-2].

The missing image is attached with the answer below,

Find out more information about the graph here

brainly.com/question/13254519

#SPJ2

Answer:

Step-by-step explanation: a square x b square

Answer:

50 aluminium cups maybe win 3750

The relationship between the variables is that an increase in the degree of slope cause an increase in the loss of soil

The possible graph that completes the question is added as an attachment

From the attached graph, we have the variables represented to be

Next, we determine the relationship

To start with:

The relationship between the variables on a graph is simply  the end bahavior of the graph

In this case, we can see that:

As the degree of the slope increases, the loss of soil also increase

However, the increase in the slope does not cause a constant increase in the loss of soil

The loss of soi starts by increasing slowly as the degree of slope increases, then the loss of soil increases sharply as the degree increases further

Read more about graph relationship at

https://brainly.com/question/13765058

#SPJ1

a ) The expression for the radius of the circle = r = 2x + 3

b ) The least possible value of radius is - 1.5

Given : Area of the circle = 4πx² + 12πx + 9π

a) The expression for the radius of the circle = r = 2x + 3

we can find this out by middle term split

we can write the area of the circle as

4πx² + 12πx + 9π

4πx² + 6πx + 6πx + 9π

this implies 2πx ( 2x + 3 ) + 3π ( 2x + 3 )

π( 2x + 3 ) ( 2x + 3 )

thus the radius expression is 2x + 3

b ) The least possible value of radius is 2x + 3 = 0

this implies 2x = - 3

x = - 1.5

To know more about circle and area you may visit the link which is mentioned below:

https://brainly.com/question/11952845

#SPJ13

The equation of the parallel line is y = (-3/2)x + 20

What does the term Slope of a Straight Line means?

A line's slope is defined as the change in y coordinate with respect to the change in x coordinate. The net y coordinate change is y, while the net x coordinate change is x.

Solution:

Firstly we need to find the slope of the given line 3x+2y = 14

Since, the equation is in the form ax + by = c

Therefore, by comparing we can say a = 3 and b = 2

Slope = -(b/a) = -3/2

Since we need to find the equation of the parallel line

So, the slope of the parallel line will be -3/2

y = mx + b

we know that the line passes through the point (8,8)

putting x,y = 8 and m = -3/2

8 = (-3/2)*8 + b

8 = -12 + b

b = 20

So, the equation of the parallel line is y = (-3/2)x + 20

To learn more about Straight Line and its Slope from the given link

https://brainly.com/question/16949303

#SPJ9

Answer:

Most likely 4cm and 5cm

Step-by-step explanation:

Where 5cm=length

And 4cm=width

The point C on the x-axis when A(-8,4), B(-1,3) so that AC + BC is a minimum is (36,0).

A(x₁,y₁) = (-8,4)

B(x₂,y₂) = (-1,3)

C(x, y ) = (x ,0)

equation of a line is given as:

y - y₁ = (y₂ - y₁)/ (x₂ - y₁) (x - x₁)

y - 4  = (3 - 4)/(-1 + 8)(x + 8)

y - 4 = -1/7(x + 8)

7(y - 4) = -1(x + 8)

7y - 28 = -x + 8

x + 7y - 36 = 0

when y = 0 then the value of x is given as:

x + 7y- 36 = 0

x + 7(0) - 36 = 0

x = 36

point C on the x-axis (x , 0) = (36,0)

The point C on the x-axis when A(-8,4), B(-1,3) so that AC + BC is a minimum is (36,0).

To know more about coordinates

https://brainly.com/question/17650098

#SPJ1

check your textbook for the remainder theorem, where it states that for a factor (x-5) of f(x) then the remainder will be 0, thus f(5) = 0, what the heck all that means?

well, it means that if we evaluate f(5) our result should be 0, so

[tex]\stackrel{factor}{(x-5)}\hspace{5em}f(5)=(5)^3-7(5)^2+(5)+a=0 \\\\\\ 0=(5)^3-7(5)^2+(5)+a\implies 0=125-175+10+a \\\\\\ 0=-40+a\implies \boxed{40=a}[/tex]

Answer:

A= 6n

B= 9n

C= 15n

Step-by-step explanation:

It's just adding.

A= 6n

B= 9n

C= 15n

Answer: x= 0.5

Step-by-step explanation:

8x-4=2(4x-4)

You would want to take away the smaller x which is (4x)

4x-4=2-4

+4         +4

4x-4=2

+4  +4

4x=2

daddy ;)

The probability that the phone calls would differ from the population proportion by more than 3% is 0

From the question, the given parameters about the distribution are

The mean is calculated as

Mean = np

So, we have

Mean = 8% * 494 = 39.52

The standard deviation is calculated as

Standard deviation = √np(1 - p)

So, we have

Standard deviation = √494 * 8% (1 - 8%) = 0.77

The z-score is calculated using the following formula

[tex]z = \frac{\bar p - p}{\sqrt{p(1 - p)}/n}[/tex]

Substitute the given parameters in the above equation

[tex]z = \frac{8\% - 3\%}{\sqrt{8\% * (1 - 8\%)}/494}[/tex]

Evaluate

z = 90.9

The probability is then calculated as:

P(x > 3%) = P(z > 90.9)

From the z table of probabilities, we have;

P(x > 3%) = 0

Hence, the probability is 0

Read more about probability at:

brainly.com/question/25870256

#SPJ1

Answer:6/13/3

Step-by-step explanation:look at how the year’s difference are

Answer:

[tex]f(x)=-log_{3}(-x)[/tex]

Step-by-step explanation:

Based on the points given on the graph, I would say this is a Log function, reflected across both x- and y-axes.

And given the point (-3, -1), it must be [tex]-log_{3}(-x)[/tex]