Simplify the expression. Write your answers using integers or improper fractions.

− 3/2(− 3/2 q+ 5/3)+8q

The measurement of angle ∠LMP is 65° when angle QPR is 115°.

What is corresponding angle ?

Any pair of angles that lie on opposite sides of two lines cut by a transversal on the same side.

Here, it is given that LN and OQ are parallel lines and ∠QPR = 115°

First, let us find the measurement of angle QPM as angle QPR and angle QPM are supplementary angles that is there sum will be 180° :

∠QPM + QPR = 180°

∠QPM + 115° =  180°

∠QPM = 180° - 115°  

∠QPM = 65°

Now, angle QPM and angle LMP are corresponding angles there the measurement of both the angles will be same that is ;

∠QPM = ∠LMP = 65°

Therefore, the measurement of angle ∠LMP is 65°

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Firstly we will analyze the question statement to determine the best possible answer.

So, the statement tells us about a person named Natalie,, the owner of an App designed for teenagers. Currently, the New Mindfulness app has One thousand two hundred and sixty-two downloads. Natalie sets a target to take her App downloads to double every month.

We are expected here to provide her with the best possible exponential equation to make her achieve the set goal.

We can use two variables for our exponential equation:

y for the number of downloads.

And x for the months.

We can use any value (Whole numbers, decimals, or fractions) in our exponential equation.

Now while keeping in mind all the necessary details, we can make the exponential equation as below:

Y= 1262 (2 x b) ^ x

Where Y are the downloads

X= 1 month or 30 days

By putting the values:

Y=1262 (2) ^ 1 month

Y=2524 after one month

So, the total number of downloads will double using the above exponential equation.

The pictures below show a relationship between the number of downloads Y and the month X.

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Answer: 1262(2)^x

Step-by-step explanation:

If b^{h} < 1 then it will be a vertical stretch.

What authority possesses a power rule?

When a base is raised to a power and then the entire expression is raised to another power, the power of a power rule in exponents is used to simplify the algebraic statement.

A translation of function f is f₁ (x) = bˣ⁻h . It is equivalent to a vertical stretch or vertical compression of function f.

[tex]f_{1} (x) = b^{x - h}[/tex]

If we used the rules of powers, we know that when we have a subtraction in the power of an exponential, it can be split into a division. So the function can be rewritten as

 [tex]f_{1} (x) = \frac{b^{x} }{b^{h} }[/tex]

Remember the original function was

f(x) = bˣ

therefore

[tex]f_{1}(X) = \frac{f(x)}{b^{h} }[/tex]

this means that if [tex]b^{h} < 1[/tex] then it will be a vertical stretch.

If b^{h} < 1  then it will be a vertical stretch.

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Yes, the pizza parlor charges a delivery fee and the equation describing the total amount Luke spends, d, to get p pizzas delivered is d = 10.60p.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Luke gets pizza delivered from the same local pizza parlor every Thursday. This week, he ordered 3 pizzas for his family and spent $32.75.

Last week he ordered 4 pizzas and spent $41.50.

Each pizza costs when ordered 3 pizzas

= 32.75/3 = $10.91

Each pizza costs when ordered 4 pizzas

= 41.50/4 = $10.37

Yes, the pizza parlor charges a delivery fee.

= (41.50+32.75)/(3+4) = 10.60

d = 10.60p

Thus, yes, the pizza parlor charges a delivery fee and the equation describing the total amount Luke spends, d, to get p pizzas delivered is d = 10.60p.

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Answer:

24

Step-by-step explanation:

A radical expression can always be rewritten using a rational exponent .

Radicals : The expressions which include a root (  [tex]\sqrt[n]{x}[/tex]  ) are called radicals . For ex . [tex]\sqrt{2}[/tex] , [tex]\sqrt[3]{3}[/tex] , [tex]\sqrt[7]{5}[/tex] , and so on .

Rational Exponent : Numbers of the form ( [tex]a^{m}[/tex] ) are called rational exponents . For ex . [tex]7^{2}[/tex] , [tex]11^{3}[/tex] , [tex]5^{5}[/tex] and so on .

A radical can be converted into a rational exponent . This can be done by keeping the no . inside root as it is and reciprocating the index and raising it to the power of exponent .

( [tex]\sqrt[n]{x}[/tex] ) = ( [tex]x^{1/n}[/tex] ) where x is the base and 1 / x is the power of the exponent .

Hence , a radical expression can always be rewritten using a rational exponent .

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Answer:

x = 3, y = 5.

Step-by-step explanation:

8x - 3y = 9

4x - 4y = -8

multiply the second equation by 2:

8x - 8y = -16

Subtract this from the first equation:

5y = 25

y = 5.

Substitute for y in equation 2:

4x - 4(5) = -8

4x = -8 + 20 = 12

x = 12/4 = 3.

Answer:

2

Step-by-step explanation:

1=1=2

Answer:

137174211/100000000000

Step by Step Explanation:

First, find the answer of 9^(-3), which would be 0.00137174211. Then, convert that into fraction form. Which would be 137174211/100000000000. Then simplify, which in order to simplify a fraction, there must be: 1. A number that will divide evenly into both the numerator and denominatior so it can be reduced. No such number exists for 137174211 and 100000000000. or 2. The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number. 137174211 is not greater than 100000000000, also meaning, this fraction is in it's simplest form.

The factored form of the equation x² + 6x + 8 is (x + 4) (x + 2), that is, option B.

Here, we are given a quadratic equation x² + 6x + 8

We can factorize this equation using the splitting the middle term method.

Here the coefficient of x is 6, hence, we need to spilt 6 in such a manner that the product of the split terms is 8.

6 can be written as 4 + 2 and we can see that 4 × 2 = 8

Hence, we can write the given equation as-

x² + 4x + 2x + 8

= x (x + 4) + 2 (x + 4)

= (x + 4) (x + 2)

Hence, the factored form of the equation x² + 6x + 8 comes out to be (x + 4) (x + 2), that is, option B.

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Applying the alternate interior angles postulate, the measure of angle HLI in the diagram is: 56°.

An example of interior angles that lie alternate to each other along a transversal are the angles shown in the image as angle HIL and angle MLI.

According to the alternate interior angles postulate, angle HIL is congruent to angle MLI.

Given that, the measure of angle MLI = 56°, since angles HIL and MLI are congruent angles based on the alternate interior angles postulate, therefore:

Measure of angle MLI = measure of angle HLI

Thus:

The measure of angle HLI = 56°

In conclusion, applying the alternate interior angles postulate, the measure of angle HLI in the diagram is: 56°.

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Answer:

the answer issssssssssssss

first blank is - 12

2nd blank is -3

Answer:

Proved!

Step-by-step explanation:

Given Problem:

a(cosB+cosC-1)+b(cosC+cosA-1)+c(cosA+cosB-1) = 0​

Solution:

Let ABC be any triangle.

1) Consider the L.H.S  (left hand side) of the given equation:

LHS =

We know that,

Projection formula:

= 0 =RHS

(2) Consider the LHS of the given equation:

Hence Proved!!

The 83rd percentile contains intervals which are 50 and 100 thousand kilometers.

What is a histogram ?

A histogram is a representation of statistical data that makes use of rectangles to illustrate the frequency of data items in a series of equal-sized numerical intervals.

It is given that , data for most recent 23 vehicles is shown in the histogram.

On the x-axis distance driven in thousands of kilometers and on the y-axis frequency is represented in the histogram.

For 23 vehicles , we have different ranges of distance driven i.e., 0 - 50 , 50 - 100 , 150 - 200 . 200 - 250 , 250 - 300.

We know that the 83rd percentile meant the distance driven is greater than or equal to 83 %.

i.e.,

Here , 83 lies between 50 - 100 , so , 83rd percentile contains intervals which are 50 and 100 thousand kilometers.

Therefore , 83rd percentile contains intervals which are 50 and 100 thousand kilometers.

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Answer: Kim made roughly 46,300 that year.

Step-by-step explanation:

We know that income tax = 9260

Step 1 is to find out which tax bracket Kim comes under.

The min. tax for those in the 20% bracket is 7,500. (20% * 37,500)

The min. salary for those in the 40% bracket is 45,000. (40% * 112,500)

As Kim pays 9260 in tax, we know that she falls under the 20% bracket. As such, we can conclude that :

20% * (Kim's Salary) = 9260

Kim's Salary = 9260/20%(or 0.2)

Kim's salary = 46,300

Answer: About $55,000k

Step-by-step explanation:

Answer:

y = 3x

Step-by-step explanation:

Slope-intercept form of an equation is a shortcut, fill-in-the-blank form you can use to write the equation of a line.

Slope-intercept eq:

y = mx + b

You fill in slope where the m is. And you fill in the y-intercept for the b.

In your problem they gave you two points. You can calculate slope with two points. Subtract the y's, 3-0, put that on top of a fraction. And subtract x's, 1-0, put that on the bottom of the fraction. The slope, m, is 3/1, which is 3.

slope:

m = 3-0 / 1-0 = 3/1 =3

The y-intercept is actually given in your problem. The y-intercept is the point where the line crosses the y-axis. The y-intercept is the point where the x is 0. They gave you the point (0,0) that is the y-intercept. So b = 0.

Fill the m and b in with the given numbers!

y = 3x + 0 Simplify.

y = 3x

The domain value for f(x)-g(x)+10 = - x²- x + 17

Given :  f(x)=2 x+5

           g(x)=x²-3 x+2

Solution:

           f(x) - g(x) + 10 = 2 x+5 - x²-3 x+2 +10

           f(x) - g(x) + 10 = 2 x+5 - x²-3 x+12

          f(x) - g(x) + 10 = - x²- x + 17

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Answer:

14x⁸ - 12x⁶ + 16x⁴

Step-by-step explanation:

To find the required polynomial, multiply 2x² and the quotient.

Multiply each term of (7x⁶ - 6x⁴ + 8x²) by 2x².

2x² * 7x⁶ = (2*7) *x²⁺⁶ = 14x⁸

Required polynomial =2x² *(7x⁶ - 6x⁴ + 8x²)

                                   = (2x²*7x⁶) - (2x²*6x⁴) + (2x²*8x²)

                                    = 14x⁸ - 12x⁶ + 16x⁴

Answer:

  B, C, E

Step-by-step explanation:

Given a graph, you want to know the set of listed values that is included in the range of the graph.

The range of a function is its vertical extent, the set of output values the function may have. The graph shows a function with a range of ...

  -6 ≤ y ≤ 0

Listed values that fall in that range are ...

  -1 (B), -2 (C), and -6 (E)

Greetings from Brasil...

Answer: Well i tried doing 7x5 but it is 35 and she has to ride her bike 34 miles so hope this helps if not then sorry

Step-by-step explanation:

The equation to determine the average number of miles she would have to ride to meet her goals is

5x = 34 - 7

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total miles = 34 miles

Number of days to ride = 5

The equation to determine the average number of miles.

5x + 7 = 34

Now,

Solve for x.

5x = 34 - 7

5x = 27

x = 27/5

x = 5.4 miles

Thus,

The average number of miles is 5.4 miles.

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Simplified answer to the given expression are :

a) 3/5

b) 2

c) 2.236

What is an mathematical expression?

Expression in mathematics is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

a) given expression is : [tex]\sqrt{\frac{9}{25}}[/tex]

Now, to simplify it we write the factors of 9 and 25 as 3 x 3 and 5 x5 and then take the root of them to get 3/5 as answer.

 [tex]\sqrt{\frac{9}{25}}[/tex] = √(3 x 3)/ √(5 x 5 ) = 3/5

b) given expression is :  [tex]\sqrt{\frac{12}{3}}[/tex]

Now, to simplify it we first divide 12 with 3 that is 4 and then take the root of 4 to get 2 as answer :

 [tex]\sqrt{\frac{12}{3}}[/tex] = √4 = 2

c) given expression is :  [tex]\frac{\sqrt{15}}{\sqrt{3}}[/tex]

Now, to simplify it we first divide 15 with 3 that is 5 and then take the root of 5 to get 2.236 as answer :

[tex]\frac{\sqrt{15}}{\sqrt{3}}[/tex] = √15/3 = √5 = 2.236  

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The expanded form of the given logarithms (log z²/5) = 2logz + log 5

Four fundamental features are derived directly from the notion that logs are exponents. The first three can be recalled as follows: The log of a product equals the sum of the logs of the elements. A quotient's log is proportional to the difference in between numerator and denominator logs. The log of power is the power multiplied by the log of the base.

Given : log z²/5

Applying the property  (log a/b = log a +log b)

we get:

log z²/5

log z² + log 5

Applying the property

log z²

2 log z

replacing  equation:

log z² + log 5

2logz + log 5

The expanded form of the given logarithms (log z²/5) = 2logz + log 5

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The expression that van be used to illustrate the quantities that Alonso will buy is 2.75e + 11.5s = 55.

Total amount = $55

Cost of eggs = $2.75 per pack

Cost of sugar = $11.50 per box

Therefore, based on the information, it should be noted that the expression that can be used to illustrate the information will be:

Let s = sugar

Let e = eggs

Therefore, the expression will be:

(2.75 × e) + (11.50 × s) = 55

2.75e + 11.5s = 55

The expression that van be used to illustrate the quantities that Alonso will buy is 2.75e + 11.5s = 55.

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A relation between a collection of inputs and outputs is known as a function.

The order pairs can't be a function also,

f(x) = -√x     → D: x ≥ 0

                    → R: y ≤ 0

The order pairs can't be a function also,

f(x) = -√x     → D: x ≥ 0

                    → R: y ≤ 0

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Answer: I think its 1/5x^10y^-6

Step-by-step explanation:

please let me know if I'm wrong

Answer:

2x=20 i guess

Step-by-step explanation:

2x -5= 15

add 5 to both sides

you should get 20

it's 2x=20

Simply solve the given equation and then evaluate according to the given situations. The answer is

a) Too high

b) Too high

c) Too low

Diego evaluated 2 3/11−4/5

Addition in math is a process of combining two or more numbers. Addends are the numbers added, and the result or the final answer we get after the process is called the sum. It is one of the essential mathematical functions we use in our everyday activities.

Subtraction is an operation used to find the difference between numbers. When you have a group of objects and you take away a few objects from it, the group becomes smaller

2 3/11 - 4/5 = 81/55 = 1.47

a) 2 3/11 + 4/5 = 169/55 = 3.07 (Too high)

b) (2 3/11 - 4/5) + 4/5 = 125/55 = 25/11 = 2.27 (Too high)

c) 2 3/11 - (2 3/11 - 4/5) = 25/11 - 81/55 = 44/55 = 4/5 = 0.8 (Too low)

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Simply answer the supplied equation, then make a judgment call based on the scenarios. The response is

a) Excessive

b) Excessive

• Too little

Diego scored a 2 3/11/4/5.

In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation. It is one of the fundamental mathematical operations we employ on a daily basis.

The operation of subtraction is used to calculate the difference between two numbers. If you remove a few items from a collection of things, the group will get smaller.

2 3/11 - 4/5 = 81/55 = 1.47

a) 2 3/11 + 4/5 = 169/55 = 3.07 (Too high)

b) (2 3/11 - 4/5) + 4/5 = 125/55 = 25/11 = 2.27 (Too high)

c) 2 3/11 - (2 3/11 - 4/5) = 25/11 - 81/55 = 44/55 = 4/5 = 0.8 (Too low)

AS we can see that there no degree in the given rational function, so, the value for horizontal asymptote will be 0.

The asymptote of a curve is the location at which the curve converges. In other words, the curve and its asymptote are perpetually close, yet they never touch. Big O notation makes use of asymptotes, which are also simple approximations to complex equations and are useful for graphing rational equations among other things.

The asymptote(s) of a curve may often be found by looking at the limit of a value when the function is not defined. These points include and the point where the numerator of a rational function equals zero, as well as others.

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Answer: It helps in analyzing large quantities, comparing two or more data, making predictions, and building a firm decision.

Step-by-step explanation To visualize the relationship between two numerical variables the most appropriate graph is a scatter plot. If there is a clear distinction between the independent (explanatory) and the dependent (response) variable, it is common to plot the independent variable on the x-axis and the dependent on the y-axis. The main use of a graphical representation of data is understanding and identifying the trends and patterns of the data.