ANALYZING RELATIONSHIPS to the sculpture shown in the photograph, the measure of LMN is 76° and the measure of PMN36°. What is the measure of LMP.

The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).

To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.

Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:

slope = (change in number of automobiles) / (change in number of years)

slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year

Now we can use the point-slope form of a linear equation to find the y-intercept:

y - y1 = m(x - x1)

where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).

y - 1890 = 106(x - 2015)

To find the y-intercept, we can set x = 0:

y - 1890 = 106(0 - 2015)

y - 1890 = -213,290

y = 211,400

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Answer:

Step-by-step explanation:

Identifying the type of slope helps us when writing equations of lines from a graph as it tells us whether the slope is positive, negative, zero, or undefined.

A positive slope means that as the value of x increases, the value of y also increases. A negative slope means that as the value of x increases, the value of y decreases. A slope of zero means that the line is horizontal, and the y-value does not change as the x-value changes. An undefined slope means that the line is vertical, and the x-value does not change as the y-value changes.

Knowing the type of slope allows us to determine the correct formula for the equation of the line. For example, if the slope is positive, we know that the equation of the line will have a positive coefficient for the x-term. If the slope is zero, we know that the equation of the line will only have a constant term. If the slope is undefined, we know that the equation of the line will only have an x-term, and that the x-value will be constant.

By identifying the type of slope, we can also determine the y-intercept of the line, which is the point at which the line intersects the y-axis. Once we know the slope and the y-intercept, we can use the slope-intercept form of the equation of a line, which is y = mx + b, to write the equation of the line from the graph.

Overall, being able to identify the type of slope helps us write the equation of a line from a graph by allowing us to determine the correct formula for the equation, as well as the y-intercept.

Answer:

Being able to identify the type of slope (positive, negative, zero, or undefined) can help us when writing equations of lines from a graph in a few ways:

It helps us determine the form of the equation. Depending on the type of slope, we know which form of the equation we need to use. For example, if the slope is positive, we know we need to use the slope-intercept form (y = mx + b), while if the slope is undefined, we know we need to use the point-slope form (y - y1 = m(x - x1)).

It helps us determine the value of the slope. Once we know the type of slope, we can easily determine the value of the slope. For example, if the slope is positive and the line passes through the point (2, 5), we can count the rise and run from that point to another point on the line and calculate the slope using the formula: slope = (y2 - y1) / (x2 - x1).

It helps us determine the y-intercept. If we know the type of slope and have one point on the line, we can use that information to calculate the y-intercept using the slope-intercept form of the equation: y = mx + b, where b is the y-intercept.

Smaller number = 7

Larger number = 14

An algebraic equation can be solved in a variety of ways.

The method you use to solve an equation depends on the type of equation and the information you are given.

Some of the most common methods to solve algebraic equations include using factoring, using the quadratic formula, completing the square, graphing, and using the substitution method.

This question uses the algebraic equation solving technique.

Step 1: Create an equation that relates the two numbers.

Let x = the smaller number

Let y = the larger number

2x + 3y = 86

Step 2: Substitute the given information into the equation.

We know that y = x + 7, so we can substitute that into the equation.

2x + 3(x + 7) = 86

Step 3: Solve the equation.

2x + 3x + 21 = 86

5x + 21 = 86

5x = 65

x = 13

Step 4: Substitute the value for x into the expression for y.

y = x + 7

y = 13 + 7

y = 20

Therefore, the two numbers are 7 and 14.

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Answer:

AAS

Step-by-step explanation:

HEHE

     ΔBAC and ΔDAC are the congruent triangles by ASA postulate of the congruence of two triangles.

    In ΔBAC and ΔDAC,

Given properties are,

By using these properties,

∠BAD ≅ ∠DAC (Given)

∠BCA ≅ ∠DCB (Given)

AC ≅ AC (Reflexive property)

ΔBAC ≅ ΔDAC (ASA postulate of congruence of two triangles)

      Therefore, ΔBAC and ΔDAC will be congruent by ASA postulate for the congruence of two triangles.

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Answer:

a=1/2  b=5/4  c=2^5/4 . ??

Step-by-step explanation:

I am not sure if the a is supposed to be a second exponent but I solved this as if it wasn't.

Answer:

x = 15

Angle ABC = 57°

Step-by-step explanation:

Hi there!

We're given:

⇒ ABD is a straight line

⇒ Angle ABC = 5x-18 degrees

⇒ Angle DBC = 8x+3 degrees

ABD is a straight line, meaning it measures an angle of 180 degrees.

Angles ABC and DBC create line ABD, so therefore, their sum is equal to 180 degrees:

\((5x-18)+(8x+3)=180\)

Open the parentheses:

\(5x-18+8x+3=180\)

Combine like terms:

\(13x-15=180\\13x=195\)

Divide both sides by 13 to isolate x:

\(x=15\)

Therefore, x = 15.

To find angle ABC, replace x with 15 in 5x-18:

\(5x-18\\=5(15)-18\\=75-18\\=57\)

Therefore, the measure of angle ABC is 57 degrees.

I hope this helps!

Answer:

8

Step-by-step explanation:

3/4 cup leaves 1/4 cup from each cup

1/4+1/4+1/4=3/4

so it would be 3/4+3/4+3/4+3/4+3/4+3/4+3/4+3/4=8 cups

Answer:

15 ways

Step-by-step explanation:

girl 1 and boy 1

girl 2 and boy 1

girl 3 and boy1

girl 1 and boy 2

girl2 and boy 2

girl 3 and boy 2

girl 1 and boy 3

girl 2 and boy 3

girl 3 and boy 3

girl 1 and boy 4

girl 2 and boy 4

girl 3 and boy 4

girl 1 and boy 5

girl 2 and boy 5

girl 3 and boy 5

Answer:

asdfasdfasdf

Step-by-step explanation:

asdf

Answer:

2+4+2= 8

Step-by-step explanation:

The expression without the absolute value symbol is:

|x + 5| = x + 5, if x > 5

|x - 5| = 0, if x = 5

|x - 5| = 5 - x, if x < 5

Since, An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

|(x + 3) | if x > 5

This can be written as,

= |x + 3|

Now,

|x + 5| = x + 5, if x > 5

|x - 5| = 0, if x = 5

|x - 5| = 5 - x, if x < 5

Thus,

The expression without the absolute value symbol is:

|x + 5| = x + 5, if x > 5

|x - 5| = 0, if x = 5

|x - 5| = 5 - x, if x < 5

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The function for the value of the Porsche after t years is \(y = 845000(1-\frac{32}{100} )^t\).

Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

Given that,

The initial price of the 918 Spyder Prosche car = $845,000

Since, the price of car depreciated at the rate of 32% per year.

The function for the value of Porsche car, after t years, can be given as,

The price of car after t year is y,

\(y = 845000(1-\frac{32}{100} )^t\)

The required function, the models, the value of the Porsche after t years is \(y = 845000(1-\frac{32}{100} )^t\).

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Answer:

Paso 1:

Encuentra el área del patio trasero

Dado eso, el patio trasero mide 24 por 30 metros.

Área = largo x ancho

Área = 24 x 30 = 720

Por lo tanto, el área del patio trasero es de 720 metros cuadrados.

Paso 2:

Dado que el área de césped = 368 metros cuadrados

Luego, área de jardín = área de patio trasero - área de césped

área del jardín = 720 - 368

área de jardín = 352 metros cuadrados

Paso 3:

Encuentra las dimensiones del jardín

Sea "x" el ancho de la franja de césped

Entonces, las dimensiones del jardín son:

Longitud del jardín = 24 - 2x

Ancho del jardín = 30 - 2x

Luego,

área del jardín = (24 - 2x) (30 - 2x)



Factoriza el lado izquierdo

(x - 23) (x - 4) = 0

Por propiedad de factor cero,

x = 23 o x = 4

La solución x = 23 hace que las dimensiones del jardín sean negativas, por lo que la rechazamos

percent row: 120%      0.03%            15%

Decimal row: 1.2          0.0003          0.15

Fraction row: 12/ 10      3/10000         3/20

Answer:

3

Step-by-step explanation:

3 months baseball = 18 x 3 = 54

3 months soccer = 15 x 3 = 45

54-45 = 9

9 / 3 = 3

David plays baseball 3 more times than soccer each month.

David plays 3 more times baseball than soccer each month.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

David plays baseball for 3 months, and each month he plays 18 times.

Also, David plays soccer for 3 months, and each month he plays 15 times.

In 3 months, David plays baseball = 18 x 3 = 54

Also, in 3 months, David plays soccer = 15 x 3 = 45

The more number of times David plays baseball than soccer

= 54 - 45

= 9

In 3 months, David plays 9 more times baseball than soccer.

In one month, David plays 9/3 = 3 more times baseball than soccer.

3 more times David plays baseball than soccer each month.

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Joanne deposits $4,300 into a l-year CD at a rate of 2.3%, compounded daily.

a. What is her ending balance after the year, to the nearest cent?

b. How much interest does she earn, to the nearest cent?

c. What is her annual percentage yield to the nearest hundredth

Remember that

The compound interest formula is equal to

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

P=$4,300

t=1 year

r=2.3%=2.3/100=0.023

n=365

Part a

Find out the value of A

substitute the given values in the formula

A=$4,400.04

Part b

I=A-P

I=4,400.04-4,300

I=$100.04

Part c

we have

4,300 -----> represent 100%

so

Applying proportion

Find out how much percentage is 4,400.04

100/4,300=x/4,400.04

x=(100/4,300)*4,400.04

x=102.33%

therefore

102.33-100=2.33%

Answer:

x = -1/3

Step-by-step explanation:

step one - Simply both sides of the equation

step two - Multiply both side by 4/(-3)

The area of the net of the solid figure is 96 square inches

The image that completes the question is added as an attachment

From the image, we have:

Squares = 6

Length = 4

The area of the net is then calculated as:

Area = Squares * Length^2

This gives

Area = 6 * 4^2

Evaluate

Area = 96

Hence, the area of the net of the solid figure is 96 square inches

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Answer:

QPT is obtuse

SPQ is acute

TPR is right

Step-by-step explanation:

Took geometry two years ago

Answer:

TPR is a right angle all the other are wrong tho

Step-by-step explanation:

Answer:

Step-by-step explanation:

Decay of carbon - 14 is exponential in nature . It decays as follows .

\(N=N_0e^{-\lambda t}\)  λ is called decay constant .

λ = .693 / T where T is half life .

Half life of carbon-14 is 5700 years

λ = .693 / T

= .693 / 5700

= 12.158 x 10⁻⁵ year⁻¹

\(N=N_0e^{-\lambda t}\)

N = .71 N₀

\(.71 N_0 =N_0e^{-\lambda t}\)

\(.71 =e^{-\lambda t}\)

Taking ln on both sides

ln .71 = - λ t

ln .71 = - 12.158 x 10⁻⁵  t

-0.3425 =  - 12.158 x 10⁻⁵  t

t = .3425 / 12.158 x 10⁻⁵

2817  years .

Answer:

The Answer for this problem would be 2 -third :)

Step-by-step explanation:

It would be 2 third because Jeffrey has x more cards while they both have about the same amount of cards now in this problem we are looking for how many cards Elijah has right? Yes  of course we are!!! Now  we keep the 3rd cause in the problem it say says Elijah has one  3rd as MANY as Jeff :) Now our key  word is as many so we multiply the first number into a two Yes we do!! now you get your answer i hope this helps so much with you guys understanding the simple math have a wonderful day i hope you understand!

The expression for the number of cards Elijah owns is (1/3)x.

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,

Number of cards Jeffrey owns = x

Elijah has one-third as many baseball cards as Jeffrey.

This means,

Number of cards Elijah owns = (1/3)x

Thus,

The number of cards Elijah owns is (1/3)x.

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Answer: May 7th i believe

Step-by-step explanation: If they both pick up on may 4th and then they pick up every 3-4 days it would be 7-8 but 3 to 4 it is 3 and a half so the answer would be May 7th. Hope this helps...

CD/AE = CB/ BE

70/40 = CB/28

Solve for CB

1.75 = CB/28

1.75 * 28 = CB

CB = 49

to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below.

\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{(-4)}}} \implies \cfrac{8 }{2 +4} \implies \cfrac{ 8 }{ 6 } \implies \cfrac{4 }{ 3 }\)

Answer:

b

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

All computer simulations are designed to test a large number of different scenarios with various sets of data in order to understand each output that certain data generates and ultimately find the best solution. This is the overall main reason why simulations are created. The same applies in this scenario, this simulation will be used to test hypotheses about patterns in the job placement process that are costly or time-consuming to observe in reality. If such tests had to be conducted by actual people it would take months, years, or even decades to generate and analyze all the data.

Answer:

Its D

Step-by-step explanation:

You gotta believe me

The length of the two segments, written as radicals, are:

AB = √117

PQ = √244

Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:

L = √( (x₂ - x₁)² + (y₂ - y₁)²)

First, for the segment AB the endpoints are:

A = (-4,  -4)

B = (2, 5)

Then the length is:

L =  √( (-4 - 2)² + (-4 - 5)²)

L = √117

For the segment PQ the endpoints are:

P = (-6, 8)

Q = (6, -2)

The length is:

L =  √( (-6 - 6)² + (8 + 2)²)

L = √244

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