PLEASE HELP ASAP
A line that passes through the points (-1, -4) and (4, 2) is shown.
Which equation is the equation of the line that is perpendicular to the given line and passes through the point (-3, 7) ?

the expression 9 log2x + 1/2log2x - 5 log2(x+1) can be written as a single logarithm, log2[x²(19/2) / (x+1)²5].

Why is it?

We can use the logarithmic identities to simplify this expression and write it as a single logarithm:

9 log2x + 1/2 log2x - 5 log2(x+1)

= log2(x²9) + log2(x²(1/2)) - log2(x+1)²5 (using the product and power rules of logarithms)

= log2[x²9 ×x²(1/2) / (x+1)²5] (using the quotient rule of logarithms)

= log2[x²(19/2) / (x+1)²5] (simplifying the expression)

Therefore, the expression 9 log2x + 1/2log2x - 5 log2(x+1) can be written as a single logarithm, log2[x²(19/2) / (x+1)²5].

A logarithm is a mathematical function used to determine how many times a particular number, called the base, must be multiplied by itself to produce a given value. The most commonly used base for logarithmic functions is 10, but other bases such as 2 and e (the base of the natural logarithm) can also be used.

To know more about Logarithm related question visit:

https://brainly.com/question/30085872

#SPJ1

The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet)

What is elevation?

The elevation is the height of an object or point above a given reference point, usually sea level. It is often used to describe the height or altitude of a geographic location, such as a mountain peak or a city, and is commonly measured in feet or meters.

In the context of elevation, | -7 | feet would mean the vertical distance between the point at -7 feet and sea level (0 feet).

The vertical distance between two points is calculated by taking the absolute value of the difference between their elevations. So, in this case, the absolute value of -7 is 7, which means the point is 7 feet below sea level.

The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet).

To know more about elevations visit:

brainly.com/question/31361033

#SPJ1

Elena can make 20/3 cups of purple paint

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

WE are given that Elena makes her favorite shade of purple paint by mixing 3 cups of blue paint, 1 1/2 cups of red paint, and 1/2 cup of white paint.

Since Elena has 2/3 cup of white paint. then;

1 1/2 cups of red paint (1 1/2=1.5)

1/2 cup of white paint (1/2=0.5)

Then the ratio is 3:1.5:0.5

Means every 0.5 cups of white paint Elena makes 5 cups of purple paint (3+1.5+0.5)

Let x the number of cups of purple paint

5/ 0.5 = x / (2/5)

x = 20/3 cups of purple paint

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ1

Answer:

1) (f+g ) x = (x²-4)+ (x+2) = x²+ x –2

2) (f - g ) x = (x²-4) – (x+2) = (x²-4)+ ( -x - 2) = x²–x–6

3) (f × g ) x = (x²-4)(x+2) = x³+2x²– 4x – 8

4) (f / g) x = (x²-4) / (x+2) = x – 2

5) ( f + g ) 4 = (x²-4)+ (x+2) = ((4²)-4)+ (4+2) = ( 16–4) + (6) = 12+6 = 18

I hope I helped you^_^

Answer: (1-, 1)

Step-by-step explanation:

Thats the middle making it the slope

Answer:

8 should be multiplied in the parenthesis

Step-by-step explanation:

8(9 + x) = 192

72 + 8x = 192

8x = 120

x = 4

Javier made the mistake while expanding the brackets.

Order of operation means simplify the function , expression etc. in given manner.  

To expand a single bracket multiply each term inside the bracket by the term outside the bracket.

8 (9+x) = 192

8*9 + 8*x = 192

72 + 8x = 192

Now, rearranging the above expression

8x = 192 - 72

8x = 120

x = 120/ 8

x = 5

Hence, Javier made the mistake while expanding the brackets.

To learn more about the order of the operation;

https://brainly.ph/question/17565579

#SPJ2

√9+25 = 28

π-4 = -0.8571

³√-27 = -3

2 / 3 = 0.6667

18÷2 = 9

√-27​ = 5.196

In mathematics, a surd is a term used to describe an irrational number that is expressed as the root of an integer. Specifically, a surd is a number that cannot be expressed exactly as a fraction of two integers, and is usually written in the form of a radical (e.g. √2, √3, √5, etc.).

We have √9+25 = 28

find the square root of 9 = 3

3 + 25 = 28

π-4 = 3.14 - 4

= -0.8571

³√-27 = ³√3³

= 3

2÷3 = 0.6667

18÷2 = 9

Read more on surds here:https://brainly.com/question/840021

#SPJ1

question:

given :√9+25 : π-4 : ³√-27 : 2÷3 : 18÷2 : √-27​

find the value of the terms

If the point (4, -1) is a point on the graph of f, then f(4) = -1.

From the question, we have the following parameters that can be used in our computation:

Point ​(4,−​1) is a point on the graph of​ f

The expression "f(4)" represents the output value of the function f, when 4 is plugged into it as the input.

If the point (4, -1) is on the graph of f, it means that for the input value of 4, the output value of the function is -1.

Read more about function at

https://brainly.com/question/28532394

#SPJ1

Answer:

$1387.4

Step-by-step explanation:

Total cost for the computer will be sum of down payments and monthly installments.

____________________________________

Given

down payment = $200

monthly installment value = $98.85

no. of installments = 12

total value of monthly installments = 12*98.95 = $1187.4

Total cost of computer system = $200+  $1187.4 = $1387.4

The factor is 2(x+1)(x-6).

From the question, we have

2x²-10x-12

=2x²-12x+2x-12

=2x(x-6)+2(x-6)

=(2x+2)(x-6)

=2(x+1)(x-6)

Factors :

The positive integers that can divide a number evenly are known as factors in mathematics. Let's say we multiply two numbers to produce a result. The product's factors are the number that is multiplied. Each number has a self-referential element. There are several examples of factors in everyday life, such putting candies in a box, arranging numbers in a certain pattern, giving chocolates to kids, etc. We must apply the multiplication or division method in order to determine a number's factors.The numbers that can divide a number exactly are called factors. There is therefore no residual after division. The numbers you multiply together to obtain another number are called factors. A factor is therefore another number's divisor.

To learn more about factors visit: https://brainly.com/question/20293447

#SPJ9

Answer:

x=18 OR x=-18

Step-by-step explanation:

\(4x^2=1296\\x^2=324\\x=+-sqrt(234)\\x=18 OR x=-18\)

Answer:

Formula  

1° × π/180 = 0.01745rad

Step-by-step explanation:

Answer:

there are 2 ways.

Step-by-step explanation:

1st way multiply the degree with π÷180

2nd way D/90=2C/π [where D refers to Degree and C refers to Radians ]

Answer:

(-2, 2)

Step-by-step explanation:

We will start by just plugging in the numbers to see if they work.

(-3, 5)

5<-(-3)+1

5<4

This is not possible, so the answer is not (-3, 5).

(-2, 2)

2<-(-2)+1

2<3

2>-2

The point (-2, 2) works for both equations, so that is the answer.

We can calculate the future value when the interest is compound continously as:

where r is the annual rate of interest, and t the nunmber of periods (years).

Then, for r=0.06, t=10 and PV=10,000, we have:

The

∠LMN is an obtuse angle.

==========================================

Explanation

Let's go through the answer choices to see which are true, and which are false.

There are 2 semi circles.

One that is on left side ( say S1)and the other one at the bottom(say S2) of the figure. Both these semi circles have diameter 30.

perimeter of S1 = (2*pi*15)/2

perimeter of S2 = (2*pi*15)/2

There is another figure which is of a semicricle(say S3). The radius is 30.

Perimeter of S3 = (2*pi*30)/4

Required perimeter

= S2+ S3-S1

= [(15*pi)/2] + [(15*pi)]- [(15*pi)/2]

= (15*pi)

= (15*3.14)

= 47.1

120 different programs can be arranged.

What is permutation?

A permutation is a specific arrangement of objects. Set members or elements are arranged in a sequence or linear order here.

Since we are dealing with arrangements, this is a permutation problem.

Given: In the first question we have the choice of 5 acts to appear first, 4 acts to appear second, 3 acts to appear third, and so on.

So, you get 5! = 5 * 4 * 3 * 2 * 1

⇒ 120 different programs.

In the second question we have 3 choices for the first act (bands), 2 choices for the second act (comics), 2 choices for the third act (bands), 1 choice for the fourth act (comic), and 1 choice for the fifth act (band).

So, you get 3 * 2 * 2 * 1 * 1

⇒ 12 different programs.

Hence, 120 different programs can be arranged if the comics must perform between bands.

To learn more about permutation from the given link:

https://brainly.com/question/9253208

#SPJ1

Answer: 3 2/3

Step-by-step explanation:

how many groups of 3 can u make out of 11 units? Answer: 3

Rest overs: 2/3

Answer:

3 2/3

Step-by-step explanation:

3 can go into 11, 3 times. 3x3=9 and 11-9=2 so the mixed number would be 3 2/3

The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

for such more question on distance

https://brainly.com/question/12356021

#SPJ8

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

To know more about line, visit:

https://brainly.com/question/30003330

#SPJ1

Answer:

132.12

Step-by-step explanation:

The measure of the arc or angle indicated are:

(9). m∠KLN = 55°, (10). m∠LMN = 40°, (11). arc RT = 61°, (12). arc PR = 240°, (13). arc EG = 150° and (14). arc ? = 225°

(9). m∠KLN = 1/2(arc NK - arc MK) {secant tangent angle}

m∠KLN = 1/2(160 - 50)

m∠KLN = 110/2

m∠KLN = 55°

(10). m∠LMN = 1/2(140 - 60)

m∠LMN = 80/2

m∠LMN = 40°

(11). 60° = 1/2(181 - arc RT)

120° = 181 - arc RT {cross multiplication}

arc RT = 181 - 120

arc RT = 61°

(12). Angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference.

arc PR = 2(120)

arc PR = 240°

(13). arc EG = 2(75)

arc EG = 150°

(14). m∠TUV = 180 - arc TV {angle between two tangents}

arc TV = 180 - 45

arc TV = 135°

the larger arc ? = 360° - 135°

arc ? = 225°.

Therefore, the measure of the arc or angle indicated are:

(9). m∠KLN = 55°, (10). m∠LMN = 40°, (11). arc RT = 61°, (12). arc PR = 240°, (13). arc EG = 150° and (14). arc ? = 225°

Read more about arc and angle here:https://brainly.com/question/29545060

#SPJ1

Answer:

(I) yessssssssssssssssssssssss

Answer:

yes it is.

Step-by-step explanation:

i did this and it was correct

To accumulate $400,000 for retirement in 35 years with a 6% interest rate, you would need to save approximately $2,090.77 per year.

We can use the formula for calculating the future value of an ordinary annuity.

The formula for the future value of an ordinary annuity is:

FV = P * ((1 + r)^n - 1) / r

In this scenario:

FV = $400,000

r = 6% = 0.06

n = 35 years

Let's substitute the values into the formula and solve for P:

\($400,000 = P * ((1 + 0.06)^35 - 1) / 0.06\)

Solving for the annual payment (P) required:

\(P = ($400,000 * 0.06) / ((1 + 0.06)^{35} - 1)\)

Using a calculator, we can evaluate this expression:

P ≈ $2,090.77

Therefore, to accumulate $400,000 for retirement in 35 years with a 6% interest rate, you would need to save approximately $2,090.77 per year.

Learn more about future value at https://brainly.com/question/24703884

#SPJ1

The distance between E and the bottom of the tree, given the distance above the ground, is 7 m.

We are told that the tree is midway between points E and F. We are also told that points E and F are 14 meters away from each other.

The distance between E and the bottom of the tree would be half of the distance between E and point F because the tree is located midway between both points.

The distance between E and the bottom of the tree is therefore:

= 14 / 2

= 7 m

Find out more on midway at https://brainly.com/question/29059050

#SPJ1

Just add the powers while it is multiply

-1+(-3)

= -1 - 3

= -4

So it is \(2^{-4}\)

9514 1404 393

Answer:

  A(x) = 20000(0.88)^x

Step-by-step explanation:

The general form of these exponential equations is ...

  A(x) = a·b^x

where 'a' is the initial value, and b is the annual growth factor. x is the elapsed time in years.

The growth factor is ...

  growth factor = 1 + growth rate

Here, the growth rate per year is -12%, so the growth factor is ...

  b = 1 -12% = 88% = 0.88

Of course, the initial value is a=20,000, so the equation is ...

  A(x) = 20000(0.88)^x

Answer:

hgfdcvbjk

Step-by-step explanation:

jhgfdsxzxdcfvgbhjkl

Answer:

Inverse of  \(- 5 x - 4 =\) \(\frac{x + 4}{5}\)

Step-by-step explanation:

Let y = -5x-4

Swap y and x

x = -5y -4

Solve for y

x+4 = -5y

\(y=- \frac{x + 4}{5}\)  which is the inverse