If ∑X = 4,390 and n= 4, what is M?
O a. 1,097.5
O b. 17,560
O c. need more information
O d. .0100

Answer

La respuesta es 264.00

Solving the inequalities for x and y, we have x > 3 and y > 1

Inequalities are mathematical expressiοns that cοmpare twο quantities οr values and indicate their relative sizes. Inequalities are represented using symbοls such as < (less than), > (greater than), ≤ (less than οr equal tο), and ≥ (greater than οr equal tο).

Here Given that the twο inequalities are:

x + 5 < 8y

And

x + 5 > 8

x > 8 - 5

x > 3

Substate the value of x in x + 5 < 8y:

x + 5 < 8y

x < 8y - 5

3 < x < 8y - 5

3 < 8y - 5

3 + 5 < 8y

8 < 8y

y > 8/8

y  > 1

Thus, Solving the inequalities for x and y, we have x > 3 and y > 1

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Complete question:

Solve the for x and y.

a. x + 5 < 8y

   x + 5 > 8

​

From the equation x²+ (y-5)² = 64, the coordinates of the center of the circle are (0, 5), and the radius of the circle is 8 units.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The given equation of the circle is in the standard form -

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius.

Comparing this standard form with the given equation, we get -

(x - 0)² + (y - 5)² = 8²

So the center of the circle is (0, 5) and the radius is 8.

Therefore, the center of the circle is (0, 5), and the radius is 8 units.

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The graph of the two functions is different from each other.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function.

In the function as the value of the independent variable varies the value of the dependent variable also varies.

When we plot the graph of the function [tex]f(x) = \dfrac{x + 2 }{x^2-4}[/tex] and the function g(x) = |(x + 2 )} - 6.

Both graphs are different in nature and shape from each other. The graph of both functions is attached with the answer below.

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Answer:

Step-by-step explanation:

1 gallon= 4 liters

2gallons=8liters

8liters answered

But exactly: 7.57082 liters

Answer:

Step-by-step explanation:

Surface area of a triangular prism: The surface area of a triangular prism is given by A=bh+(b1+b2+b3)l units2 A = b h + ( b 1 + b 2 + b 3 ) l units 2 where b is the base of a triangular face, h is the height of a triangular face, b1 , b2 , and b3 are the sides of the triangular base, and l is the length of the prism.

Answer:

Step-by-step explanation:

catss

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The box volume, entrance volume and building volume are 50x², y³ and 50x² - y³ respectively

An equation is an expression that shows the relationship between numbers and variables using mathematical operations like exponents, addition, subtraction, multiplication and division.

a) The volume of the whole box is:

Volume = length * width * height = x * x * 50 = 50x²

b) The volume of the entrance is:

Volume = length * width * height = y * y * y = y³

c) Volume of building is:

Building volume = volume of the whole box - volume of the entrance

Building volume = 50x² - y³

The building volume is 50x² - y³

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Answer:

Moving the decimal 3 places to the left.

Step-by-step explanation:

Take the number 3000 and divide it by 1000 in your calculator.  You will get the answer 3.  Although we do not write it, the decimal in the number 3000 is at the end of the number (after the last zero).  When we divide by 1000, we move the decimal 3 places to the let.  The decimal in the number 3 is at the end or to the right of the 3, we just do not write the decimal.

Helping in the name of Jesus.

The exponential function is a decay, and it can be written as:

f(x) = 1,200*( 0.875)^x

The general exponential function can be written as:

f(x) = A*(b)^x

Where A is the initial value and b is the base.

Here we have a decay rate, so this is an exponential decay, and we can write:

b = 1 - r

Where r is the decay rate in decimal form:

b = 1 - 0.125 = 0.875

And the initial value is 1,200, so the exponential function is:

f(x) = 1,200*( 0.875)^x

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Answer:

Step-by-step explanation:

[tex]I=Prt[/tex]  P=principal, r =interest rate, t=time

[tex]I=1,320[/tex] × [tex]\frac{3.2}{100}[/tex] × [tex]5[/tex]

 [tex]= 211.20[/tex]

He will earn $211.20 interest.

The value of b from the given hyperbolic equation is 10. Therefore, option A is the correct answer.

In mathematics, a hyperbola is an important conic section formed by the intersection of the double cone by a plane surface, but not necessarily at the center. A hyperbola is symmetric along the conjugate axis, and shares many similarities with the ellipse. Concepts like foci, directrix, latus rectum, eccentricity, apply to a hyperbola.

Given that, the equation x²/24² -y²/b² =1 represents a hyperbola centered at the origin with a directrix of x=576/26.

Here, a=24

Then c²=a²+b²

c²= 24²+b²

c=√(576+b²)

We know that, directrix = x =± a²/c

Now, 576/26 = 576/√(576+b²)

√(576+b²)=26

576+b²=26²

576+b²=676

b²=100

b=10

Therefore, option A is the correct answer.

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Answer:

in photo I provided :)

Step-by-step explanation:

hope this helps <3

Check the picture below.

[tex](x+18)(18)=(24+16)(16)\implies 18x+324=640 \\\\\\ 18x=316\implies x=\cfrac{316}{18}\implies x=\cfrac{158}{9}\implies x=17\frac{5}{9}[/tex]

Answer:

5175 7 ehsjdjdrusjskskekrirr

The percentage of annual returns is 25.63% and total return is $5400.

A percentage is a way of expressing a portion or part of a whole as a fraction of 100. The word "percent" comes from the Latin per centum, which means "per hundred". Percentages are commonly used to represent rates of change, such as growth rates or inflation rates, and to express proportions, such as the percentage of people in a population who have a certain characteristic or the percentage of a product's ingredients that are natural.

To calculate a percentage, you can use the following formula:

percentage = (part / whole) x 100

Now,

To calculate the total return on your investment, we need to find the profit made over the 4-year period.

Total return = final value of investment - initial investment

Total return = $8400 - $3000 = $5400

To calculate the annual return, we can use the formula:

Annual return = ((1 + total return percentage)^(1/number of years)) - 1

We can find the total return percentage by dividing the total return by the initial investment and multiplying by 100:

Total return percentage = (total return / initial investment) x 100

Total return percentage = ($5400 / $3000) x 100 = 180%

Using the formula for annual return, we get:

Annual return = ((1 + 1.8)¹/⁴-¹

Annual return = 0.2563 or 25.63%

Therefore, your total return on the investment was $5400 and the annual return averaged 25.63% over the 4-year period.

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The polynomial expressions when simplified are 2g² + 3g - 1, 24c⁵d - 8cd² + 12c³d³ + 4cd, (m² + 5m + 4) ÷ (m + 1) = m + 4.

Others are added below

Expression 1

The expression is given as

(14g³ + 21g² - 7g)/7g

Divide the numerator by the denominator

So, we have

2g² + 3g - 1

Expression 2

Here, we have

24c⁵d - 8cd² + 12c³d³ + 4cd

The expression is in its simplified state

Expression 3

Given that

(m² + 5m + 4) ÷ (m + 1)

By long division, we have

           m + 4

m + 1 | m² + 5m + 4

           m² + m

-------------------------------------

              4m + 4

              4m + 4

-------------------------------------

                0

This means that (m² + 5m + 4) ÷ (m + 1) = m + 4

Expression 4

Given that

(c² - 2c - 15)(c + 3)⁻¹

By long division, we have

           c - 5

c + 3 | c² - 2c - 15

          c² + 3c

-------------------------------------

              -5c - 15

              -5c - 15

-------------------------------------

                0

This means that (c² - 2c - 15)(c + 3)⁻¹ = c - 5

Expression 5

Here, we have

(2y² + 10y + 17) ÷ (y + 3)

By synthetic division, we have

-3 | 2  10  17

    |__-6_-12______

      2  4   5

This means that (2y² + 10y + 17) ÷ (y + 3) = 2y + 4 + 5/(y + 3)

Expression 6

Here, we have

(2p³ - p² - 10p + 8)(p - 2)⁻¹

By synthetic division, we have

2 | 2    -1   -10    8

    |___4__6__-8____

      2    3   -4     0

This means that (2p³ - p² - 10p + 8)(p - 2)⁻¹ = 2p² + 2p - 4

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Answer:

∠x and ∠y are congruent or equal

Step-by-step explanation:

∠x and ∠y are congruent or equal because their vertical angles are alternate interior angles.

OR vertical angle of ∠x is congruent with ∠y because they are both corresponding angles

OR vertical angle of ∠y is congruent with ∠x because they are both corresponding angles

Answer: 390

Step-by-step explanation:

m

Isabel is in a hot air balloon that has just taken off and is now floating 140 meters above

its launching point. Debbie is standing on the ground, 147 meters away from the

launching point. How many meters apart are Isabel and Debb

Answer:

Isabel and Debbie are 203m apart.

Step-by-step explanation:

Since Isabel went straight up in the balloon and Debbie is straight over presumably on flat ground, they make a right triangle with the third point being the launching spot.

It is a right triangle. See image. Use the Pythagorean Theorem.

140^2 + 147^2 = d^2

Where d is the distance between Isabel and Debbie.

see image for work shown.

Answer: Yes

Step-by-step explanation:

Well, since 6+2, 6+2+3 does equal 8 plus 3 because 6+2+3 is basically saying 8+3, but just broken up.

Answer:

Step-by-step explanation:

Blue shirts: [tex]\frac{1}{6}[/tex]×[tex]12=2[/tex]

White shirts: [tex]\frac{2}{3}[/tex]×[tex]12=8[/tex]

∴ there are 2 students(12-2-8=2) wearing a different shirt.

-2x - 4 is not greater than 14

Step-by-step explanation:

I don't understand the question but I hope this helps

(-2 × X) + (-2 × 2)

The inverse function of the given is y^-1=x/2 -4.

The domain of the original function becomes the range of the inverse function, and the range of the given function becomes the domain of the inverse function. The inverse function is denoted by the notation f-1 in relation to the original function f. Swapping (x, y) with (y, x) with reference to the line y = x yields the graph of the inverse function. Only when f is both a one-one and an onto function does it have an inverse, indicated by the symbol f-1. Keep in mind that f-1 is NOT f's inverse. The domain value of x is given by combining the function f and the reciprocal function f-1.

Here the given function is,

=> y = 2x+8

Now interchange x and y then

=> x=2y+8

Now simplify the expression with respect to y then,

=> x-8=2y

=> y =x/2 -4

=>y^-1=x/2 -4

Hence inverse function is, y^-1=x/2 -4

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Answer:

5 3/4

Hope this is what you're looking for

1.y=6  2. y=3  3. y=9/5   4.y=3/2  5. y=3   6. y= 3

Answer:

Step-by-step explanation:

Well when rotating 90° RSTU counterclockwise we get MNPQ.

When rotating 90° RSTU clockwise we get it the reflection across the y-axis.

The given data does not belong to the function.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

A function is defined as a relation between a set of inputs having one output each.

In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Every function has a domain and codomain or range.

Since in the given data,

at the different values of y, the value of x is the same. that is the first violation of the rule of function.

Therefore, the given data does not belong to the function.

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In linear equation, Tammy will have made a profit of $103,768.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                    Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

Let x be the number of years after Tammy purchased her home.

We have been given that Tammy’s home cost her $184,000. She lives in an area with a lively real estate market, and her home increases in value by 3.5% every year.

We can see that value of house will increase exponentially as the value of increases 3.5% per year.

Since an exponential function is in form

           y = a * bˣ

a = Initial value,

b = For growth b is in form (1+r) where r represents growth rate in decimal form.

Let us convert our given growth rate in decimal form.

   3.5% = 0.035

Upon substituting our values in exponential form of function we will get the value (y) of Tammy's home after x years as

  y = 184000(1 + 0.035)ˣ

 y =  184000(1.035)ˣ

  Therefore, the function   y =  184000(1.035)ˣ represents value of Tammy's home after x years of purchase.

Let us find the value of home after 13 years by substituting x=13 in our function.

     y =  184000(1.035)¹³

     y =  184000 * 1.56395606

  y = 287767.915

  Let us subtract cost of the home from the value of home after 13 years to find the amount of profit.

   The amount of profit, if tammy sells her home after 13 years = 287767.915  - 184000  

 The amount of profit, if tammy sells her home after 13 years = 103767.915 - 103,768

Therefore, Tammy will have made a profit of $103,768.

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Answer:

The first question asks which variable Amari used to construct a bar graph. It is not specified which variable she used, so we cannot determine the answer.

The second question asks which graph correctly displays the data collected from the customers about their favorite topping. The data is nominal, so a bar graph would be appropriate. The correct answer is:

c) a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled chocolate chips going to a value of 17, the second bar labeled hot fudge going to a value of 12, the third bar labeled nuts going to a value of 27, and the fourth bar labeled sprinkles going to a value of 44

The third question asks which stem-and-leaf plot correctly graphs the data set of points scored by the Riverside Red Dragons during the 2021 football season. The correct answer is:

c)

2021 Riverside Red Dragon Football Season Points

0 0 4

1 1 3 3

2 0 0 6 7 7 7

3 0 0 0 0 1

Key 1|1 = 11

The fourth question asks which graphical representation would be best for a principal interested in the number of hours slept per night by 14-year-olds in a particular town. The data is quantitative, so a histogram would be appropriate. The correct answer is:

b) Histogram