if -5c+6 =-69 what is the value of 6c - 15

Answer:

For 2 more panes of glass it will cost $5.70.  

Step-by-step explanation:

To find the price of each pane of glass you take the total price/ total panes of glass.  

25.65/ 9 = $2.85.

If he wanted one more pane of glass it would be $2.85 but since you asked for two you multiply by 2 and get $5.70.  Hope this helps!

After approximately 16 years, the principal amount of $500 double.

So, to find out how many years will a principal of $ 500 double:

The formula for calculating compound interest is as follows:

The value of r is 0.0462. In the equation, substitute this and x:

Therefore, after approximately 16 years, the principal amount of $500 double.

Know more about compound interest here:

https://brainly.com/question/24924853

#SPJ4

Answer:

LCD = 30

Equivalent Fractions with the LCD

1/10 = 3/30

1/6 = 5/30

Step-by-step explanation:

Rewriting input as fractions if necessary:

1/10, 1/6

For the denominators (10, 6) the least common multiple (LCM) is 30.

LCM(10, 6)

Therefore, the least common denominator (LCD) is 30.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

1/10 = 1/10 × 3/3 = 3/30

1/6 = 1/6 × 5/5 = 5/30

Answer:

A

Step-by-step explanation:

if it is meant literally as stated (lead AND nickel), then the check was only for both to be present.

and then A is the correct answer (L n N : intersection of both sets).

if it would have the typical meaning (we say we check for L and A, but mean inclusive "or" : either L or N or both), then B would be correct.

In [tex]e^{2x} =10[/tex] , x = 1., by the properties of logarithm.

Now,

In [tex]e^{2x} =10[/tex] , taking natural logarithm on both side.

=>  [tex]log_e(e^{2x})=log_e(10)[/tex]

By properties of logarithm, we know that: [tex]log_b(a)^m = m(log_b(a))[/tex]

=> [tex]2x(log_e(e))=ln(10)[/tex]

Also, as [tex]log_e(e)[/tex] = 1,

=> 2x (1) = ln(10)

=> 2x = 2.302 (approx)

=> x = 1.151

Hence, In [tex]e^{2x} =10[/tex] , x = 1.151, by the properties of logarithm.

To learn more about logarithms, refer to the link: brainly.com/question/25710806

#SPJ4

The slope of the line is 1 / 3

The slope of a line is a measure of its steepness.

The slope of the line is the ratio of the rise to the run, or rise divided by the run.

Mathematically, the slope of a line can be described as follows;

slope = change in y / change in x

Therefore,

slope = y₂ - y₁ / x₂ - x₁

Let's take two points from the graph

(0, 2)(3, 3)

where

x₁ = 0

x₂ = 3

y₁ = 2

y₂ = 3

Hence,

slope = 3 - 2 / 3 - 0

slope = 1 / 3

Therefore, the slope of the line is 1 / 3

learn more on slope here:https://brainly.com/question/23087740

#SPJ1

The image of the transformation is R' (-12, 3), S' (-12, 12) and T' (-6, 3)

The complete question is added as an attachment

The coordinates of the triangle are given as

R = (-4, 1)

S = (-4, 4)

T = (-2, 1)

The transformation is given as

The rule of the transformations is

(x, y) = 3(x, y)

So, we have

R' = 3 * (-4, 1) = (-12, 3)

S' = 3 * (-4, 4) = (-12, 12)

T' = 3 * (-2, 1)= (-6, 3)

Hence, the image of the transformation is R' (-12, 3), S' (-12, 12) and T' (-6, 3)

See attachment for the image of the transformation

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

Answer: C, 21

Step-by-step explanation:

Answer:  x  ≤ 4.5

Step-by-step explanation:

Since there is a closed circle on 4.5 and the ray is going left we know that x is ≤ 4.5

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. (x² + 2y³)⁶ is expanded as x¹² + 12x¹⁰y³ + 60x⁸y⁶ + 160x⁶y⁹ + 240x⁴y¹² + 192x²y¹⁵ + 64y¹⁸.

The Binomial theorem tells us how to expand expressions of the form (a + b)ⁿ, for example, (x + y)⁷. The larger the power is, the harder it is to expand expressions like this directly.

The total number of terms in the expansion of (x + y)ⁿ are (n+1).

The sum of exponents of x and y is always n.

nC₀, nC₁, nC₂, … .., nCₙ are called binomial coefficients and also represented by C₀, C₁, C₂, ….., Cₙ.

The binomial coefficients which are equidistant from the beginning and from the ending are equal.

i.e. nC₀ = nCₙ, nC₁ = nCₙ₋₁ , nC₂ = nCₙ₋₂ ,….. etc.

Let the function be (x² + 2y³)⁶

By using binomial expansion theorem, we get

(x² + 2y³)⁶ = x¹² + 12x¹⁰y³ + 60x⁸y⁶ + 160x⁶y⁹ + 240x⁴y¹² + 192x²y¹⁵ + 64y¹⁸

(x² + 2y³)⁶ is expanded as x¹² + 12x¹⁰y³ + 60x⁸y⁶ + 160x⁶y⁹ + 240x⁴y¹² + 192x²y¹⁵ + 64y¹⁸

To learn more about binomial, refer to:

brainly.com/question/15246027

#SPJ4

Simplify the expression by applying the index rule: a^mx a^n = a^m+n.

y¹/₂ . y³/₁₀

y¹/₂ . y³/₁₀ = y¹/₂ +³/₁₀

¹/₂ +³/₁₀ = 4/5

y¹/₂ +³/₁₀ = y^ 4/5

Find out more on indices at: brainly.com/question/28595166

#SPJ4

Two or more expressions with equal sign is called as Equation. If mWVY = 70 is an angle then mYVX =165 we get by solving the equation x-13=70.

Two or more expressions with equal sign is called as Equation.

mWVY = 70

From the figure we can observe that mWVY =x-13

By this we form an equation

x-13=70

x-13=70

x=70+13

x=83.

So value of x is 83.

Now mYVX=2x-1

2(83)-1

166-1

=165

Therefore mYVX is 165 degree when  mWVY = 70.

To learn more on equation click:

https://brainly.com/question/21105092

#SPJ1

The area of the rectangular fenced area for dog run is given by:

A = 4x² + 34x + 18.

Considering a rectangle of length l and width w, we have that:

For this problem, the section enclosed by the fence is divided into two triangles, as follows:

Hence the total area is:

A = 8(2x) + (6 + 2x)(2x + 3)

A = 16x + 4x² + 18x + 18

A = 4x² + 34x + 18.

Hence the area of the rectangular fenced area for dog run is given by:

A = 4x² + 34x + 18.

More can be learned about the area of a rectangle at https://brainly.com/question/10489198

#SPJ1

Answer:

I'm assuming you inserting the variable x was a mistake.

Step-by-step explanation:

The least common multiple of 18 and 42 is 126.

[tex]\bold{Step-by-step}[/tex]

[tex]\mathrm{"LCM"}[/tex]

[tex]18 \times 7 = 126\\42 \times 3 = 126[/tex]

Any concerns, let me know, have a great day!

if the point I is between points H and J, then the numerical length of hj is 14 units

The given parameters are

IJ= 3x + 3

HI = 3x - 1

HJ = 3x  + 8

The above implies that the point I is between points H and J

So, we have

HJ = HI + IJ

Substitute the known values

3x + 8 = 3x + 3 + 3x - 1

Evaluate the like terms

3x = 6

Divide by 3

x = 2

Substitute x = 2 in HJ = 3x  + 8

HJ = 3 x 2 + 8

Evaluate

HJ = 14

Hence, the numerical length of hj is 14 units

Read more about lengths at

https://brainly.com/question/19131183

#SPJ1

Based on the information, it should be noted that there's an increase in percentage of 30%.

Based on the information, it should be noted that the following can be illustrated:

Original amount = 30

New amount = 39

Therefore, it should be noted that the change in percentage will be:

= Change in amount / Old amount × 100

= (39 - 30) / 30 × 100

= 9/30 × 100

= 30%

Therefore, there's a increase in percentage of 30%.

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

The value of x for the equation log₇343=x will be 3.

Logarithmic function properties. You have encountered several characteristics during your study of algebra, including the commutative, associative, and distributive properties.

These characteristics make it easier to simplify a complex statement or equation. With logarithms, the same holds true.

For log₇343=x

It can be expressed in the form of -

343 = 7ˣ

It can be further expressed as -

7³ = 7ˣ

As base is same,

x = 3

To learn more about logarithmic functions from given link

https://brainly.com/question/13473114

#SPJ4

The fact that $45 is enough to make bracelets for 10.44 persons means that the we can make bracelets for 10 friends

What is the total necklace cost function?

The total cost of necklaces that can be made within the total budget of $45 can be modeled using a straight-line equation, which considers the fixed cost of necklace supplies of $21.50 and the total variable cost of supplies, the cost per necklace multiplied by the total number of necklaces possible, defined as x

45=21.50+2.25x

let solve for x to determine whether we can make bracelets for 10 friends

45-21.50=2.25x

23.50=2.25x

x=23.50/2.25

x=10.44

Find out more about total cost on:https://brainly.com/question/14297342

#SPJ1

If a and b are rational numbers, then the product of (a+√b) and its conjugate is always a rational number.

The conjugate of ( a + [tex]\sqrt{b}[/tex] ) is ( a - [tex]\sqrt{b}[/tex] ) .

Product of  ( a + [tex]\sqrt{b}[/tex] ) and ( a - [tex]\sqrt{b}[/tex] )  =  ( a + [tex]\sqrt{b}[/tex] ) * ( a - [tex]\sqrt{b}[/tex] )

                                                         = ( [tex]a^{2}[/tex] ) - a[tex]\sqrt{b}[/tex] + a[tex]\sqrt{b}[/tex] - [ [tex]\sqrt{b} ^{2}[/tex] ]

                                            = ( [tex]a^{2}[/tex]) - b .

The expression ( [tex]a^{2}[/tex]) - b is rational .

Hence , if a and b are rational numbers, then the product of (a+√b) and its conjugate is always a rational number.

To learn more on rational nos. follow link :

https://brainly.com/question/12088221

#SPJ4

After solving, the factors of the equation x²-13x-30=0 are:

So,

Given equation: x²-13x-30=0

Then,

Factors are: (x-15) and (x+2)

Therefore, after solving, the factors of the equation x²-13x-30=0 are:

Know more about equations here:

brainly.com/question/2972832

#SPJ4

Solution of exponential equation is ,  x = 10

In, mathematics a exponential equation or exponential function is inverse of logarithmic function. That means, we can easily convert the logarithmic function into exponential function and vice versa. The basic form of the logarithm function can be written as  [tex]a^x[/tex] .

where, a is the base of function

           x defines  expression

Mathematically, if  [tex]log_aN = x[/tex] is an logarithmic function then, this can be converted to exponential function as  [tex]a^x = N[/tex].

There are many formulas that are given to us for solving several simple and complex problems based on exponential functions and exponential equations.

Some important formulas of exponential :

According to given statement,

5.2³ x =400

=> 5.8 x =400

=> 40x = 400

=> x =10

Thus solution for this equation is x =10.

To know more about exponential equations, visit :

brainly.com/question/28278137

#SPJ4

The complete question is :

What is the solution of each exponential equation? Check your answer.

a. 7⁻⁴x=800

b. 5.2³x=400

The value of the expression sec (-π) is equal to -1 if the given expression is undefined.

As given in the question,

Given expression: sec (-π)

Standard position of unit circle: -π is representing semicircle with terminal point on negative x-axis with coordinates (-1, 0)

Hypotenuse = √ (-1)² + 0²

                     = 1

Value of the expression is given by

sec α = Hypotenuse / Base (x-coordinate)

⇒sec(-π) = 1 / -1

⇒sec(-π) = -1

Therefore, the value of the expression sec (-π) is equal to -1.

Learn more about expression here

brainly.com/question/14083225

#SPJ1

a. 3.5 x 4.1 (3.5 ×2.8) = -0.7

b.  2.5+ (-4.1) + [(−2.3) × (-1.1)] = 4.29

c. [-5.5 (-6.5) ÷ 2.4]+ (-1.1) = -0.5

Hence the required parentheses are added to make the statement true.

Learn more about Simplification here:

brainly.com/question/723406

#SPJ9

Answer:1314 or 13.14%

Step-by-step explanation:yes

Exponential Form

We've all heard the term "exponential." What does that word mean? Exponential means growing faster and faster. However, in mathematics, it represents a formula with one or more exponents. So, we know it as exponential form. I would say that things can grow exponentially as the items being talked about get bigger and faster and faster.

So, we use the following method to write the given expression in exponential.

Expression 1 = ⁴√x³

Expression 2 = ⁵√y⁴

Use n*sqrt{a}x=a^(x/n) to rewrite 4*sqrt{x}3 as x^ (3/4)

similarly, we can write the second equation as

Use n*sqrt{a}x=a^(x/n) to rewrite 5*sqrt{y}4 as y^ (4/5)

More problems that deal with writing numbers in their exponential form are in the link below.

https://brainly.com/question/6326336?referrer=searchResults

#SPJ4

keeping in mind that a year has 12 months, thus 9 months is really 9/12 of a year.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$960\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\to \frac{9}{12}\dotfill &\frac{3}{4} \end{cases} \\\\\\ I = (960)(0.09)(\frac{3}{4}) \implies I=64.8[/tex]

Answer:

the answer is 4 hundreds because starting from the decimal point is hundreds