The function C(x) =17.5x-10 represents the cost (in dollars) of buying x tickets to the orchestra with a $10 coupon.

The length of rectangle is : 6ft .

Width of rectangle is : 5.5ft .

The area of rectangle is :

A = l × w

Here given,

length is 5ft less than twice the width,

So the equation can be represented in terms of length as,

l = 2w - 5

Given area = 33sqft

By substituting value of length,

33 = (2w - 5) × w

By applying distributive property,

33 = 2w² - 5w

= 2w² - 5w - 33

By factoring the equation:

(2w - 11)(w + 3) = 0

To find value of zeros,

2w - 11 = 0

2w = 11

w = 5.5

Similarly,

w + 3 = 0

w = -3

Since width cannot be negative , the width will be:

the width = 5.5 ft.

Also find length by substituting value of width in equation,

33 = 5.5l

33/5.5 = l

l = 6 ft.

∴ The  length = 6ft, and width = 5.5ft.

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A rational value that is less than zero is -√4.

An irrational value greater than five is 5 1/9.

A rational value between 10 and 20 is √225.

A rational number is a number that can be expressed as a fraction of two integers. A rational number can either be a positive number, negative number, whole number, decimal or fraction.  Examples of rational numbers are 100, -0.5.

A irrational number is a number that cannot be expressed as a fraction of two integers. An irrational number can either be a positive number, negative number, whole number, decimal or fraction.  Examples of irrational numbers are 22/7, 1-/9.

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Given:

Population in 2000 = 572 thousand

Rate of growth per year = 1.15%

Let's solve for the following:

(a) Explicit formula for the population years after 2000.

Where:

In year 2000, t = 0

To write the explicit formula, apply the exponantial growth function formula:

Where:

a is the initial amount

r is the growth rate.

Thus, we have:

Therefore, the explicit formula for the population years after 2000 is:

(b) What will be the district's population in 2025.

Where:

In the year 2000, t = 0

In the year 2025, t will be = 25

To find the population in 2025, substitute 25 for t in the explicit formula for evalaute:

The population in 2025 if the trend continues will be approximately 761 thousand.

(c) When does the model predict the population to exceeed 800 thousand.

Substitute 800 for Pt and solve for t.

We have:

Divide both sides by 572:

Take the natural logarithm of both sides:

Divide both sides by 0.01143:

When t = 29, the year is 2000 + 29 = 2029

Therefore, using this model, DC's population will exceed 800 thousand in the year 2029.

ANSWERS:

The value of x nodes given quadrilateral ​is 80° which is determined by the measure of the supplemental interior angle.

A quadrilateral is a polygon with four sides. This also indicates that a quadrilateral has four vertices and four angles.

Exterior Angle is defined as an angle produced on the outside of a polygon by extending the sides of the polygon.

First, we have to find the measure of the supplemental interior angle

Here take the exterior angle1 = 100° and  exterior angle2 = 60°, find its interior angles

⇒ 100 + int.1 = 180 ⇒ int.1 = 180 - 100 = 80°

⇒ 60 + int.2 = 180 ⇒ int.2 = 180 - 60 = 120°

Since the sum of all interior angles of a polygon = 360°

As per the given figure,

x + 80 + x + 120 = 360

2x = 360 - 200

2x = 160

x = 80°

Therefore, the value of x nodes given quadrilateral ​is 80°.

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Given the folllowing equation:

You need to solve for "x" in order to find its value. To do this, you can follow the steps shown below:

1. You can apply the Addition property of equality by adding 0.04 to both sides of the equation:

2. Now you need to add the like terms on the left side of the equation:

3. Finally, you can apply the Division property of equality by dividing both sides of the equation by 0.41:

The answer is:

x-intercepts

1) In a quadratic equation, the Real solutions correspond to the points in which the parabola intercepts the x-axis.

2) Note that when the roots are not real solutions, then we'd have complex numbers and the parabola wouldn't intercept the x-axis.

3) Therefore, the answer is: x-intercepts

Answer:

The expression is c-6. She gave away 6 cards so subtract 6 from the original number which is c.

The linear function is given by 5200+350x = 750x

What is linear function?

A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0.

Amount spent to obtain merchandise = $5,200

Cost of general expenses = $350

Earnings from sales per week = $750

Now,

Let 'x' be the number of weeks taken to make profit

thus,

Total cost involved = $5,200 + ( $350 × x )

Total profit from sales = $750 × x

Now, the number of weeks after that the cost and earning will be equal, will be given by

5200+350x = 750x

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Answer

Option B is correct.

Percent of students that scored above 86% = 18%

Explanation

To find the percentage of students that scored above 86%, we will need to add the percent of the bars for all the scores greater than 86%.

For 87%, the bar is 8%

For 88%, the bar is 5.8%

For 89%, the bar is 2.2%

For 90%, the bar is 2%

So,

Percent of students that scored above 86% = 8 + 5.8 + 2.2 + 2 = 18%

Hope this Helps!!!

The equation is given as,

Transpose the term,

Taking logarithm on both sides,

Consider the formula,

Applying the formula,

Thus, the solution of the given exponential equation is approximately equal to,

Given data:

The diameter of cylinder is d=12 cm.

The height of the cylinder is h= 27 cm.

The dimension of the aquarium is V=(35 cm)(40 cm)( 42 cm).

The volume of the cylinder is,

The volume of the aquarium is,

The number of cylinders that can be pour into aquarium is,

Thus, the number of cylinders that can be pour into aquarium is 19.25.

Given the number

We can express it in scientific notation below;

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

Therefore, in the given question, we will have;

Answer: Option C

Okay, here we have this:

We need to identify the x-value at which the-following function touches but does not cross the x-axis in the following function: 3x^3- 18^2 + 27x. So, considering that if is a zero with even multiplicity, the graph touches the x-axis and bounces off of the axis. And if it is a zero with odd multiplicity, the graph crosses the x-axis at a zero.

According with this let's

AB in 1:3 ratio, Find a pointwhere on one side there is 1/4 of AB and in the other side 3/4 of AB:

Solution

As seen from the table

For each values of the table

We define the variation from K to J

When J = 2, K = -12

Therefore, the formula connecting them will be

Option B

The measurement that cannot be taken directly in 2-D is depth

What do you mean by measurement?

Measurement is the quantification of an object's or event's properties for comparison with other objects or occurrences. Measurement, in other terms, is the act of establishing how large or little a physical amount is in comparison to a fundamental reference quantity of the same sort. The scope and use of measurement are context and discipline dependent. Measurements do not apply to nominal qualities of things or events in natural sciences and engineering, which is compatible with the recommendations of the International Bureau of Weights and Measures' International lexicon of metrology. However, measures in other domains, such as statistics and the social and behavioral sciences, can have numerous levels.

The measurement that cannot be taken directly in 2-D is depth

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it would be 75 ur welcome

The polar coordinates for each point are given as follows:

a. [tex](r, \theta) = \left(2\sqrt{5}, \frac{7\pi}{4}\right)[/tex]

b. [tex](r, \theta) = \left(6, \frac{\pi}{3}\right)[/tex]

Suppose we have a point with Cartesian coordinates given as follows:

(x,y).

The polar coordinates will be found as follows:

For item a), the Cartesian coordinates are as follows:

(-4, 4).

Hence the polar coordinates will be given as follows:

For item a), the Cartesian coordinates are as follows:

(3, 3sqrt(3)).

Hence the polar coordinates will be given as follows:

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The change of base formula states that:

this means that we can caculate any logarithm using the natural logarithm if we make the quotient of the natural logarithm of the original value and the natural logarithm of the original base.

In this case we have:

Then, using the change of base formula, we have:

Once we have the expression we just evaluate the expression on the right to get the appoximation we need:

`Answer:

h(x) = -x^2/2 - 4x + 32

Explanation:

The standard form of a quadratic equation is expresssed as

ax^2 + bx+c

Writing the given equation h(x)= -1/2 (x+4)^2 +10 in stabdard form will give;

h(x)= -1/2 (x+4)^2 +10

h(x)= -1/2 (x^2+8x+16)+40

h(x)= -x^2/2 - 4x - 8 + 40

h(x) = -x^2/2 - 4x + 32

Hence the equation in standard form is expressed as h(x) = -x^2/2 - 4x + 32

Answer:

**NEED USEFUL ANSWER ASAP, H.W QUESTION**

Given that hotter blackbodies produce more energy than cooler blackbodies, why do cooler red giants have much higher luminosities than much hotter white dwarfs?

Step-by-step explanation:

1. replace g(x) with y:

2.Replace every x with a y and replace every y with an x

3. Solve for y:

4. Replace y with g−1(x) g− 1 ( x ):

A lineal equation has the next form:

where m is the slope and is calculated as follow:

For this case

y1=20

y2= 25

x1=12

x2= 5

so:

then the equation will be:

Using one of the points we calculate the b

we are going to use y=25 x=5

Clearing the b we get:

b=200/7 or b=28.57

A lineal equation has the next form:

where m is the slope and is calculated as follow:

For this case

y1=20

y2= 25

x1=12

x2= 5

so:

then the equation will be:

Using one of the points we calculate the b

we are going to use y=25 x=5

Clearing the b we get:

b=200/7 or b=28.57

Solution:

Given the function;

The graph of the function is;

ANSWER:

Answer:

a) 3 sets of opposite faces

b) The given figure is called a rectangular prism because its bases( the bottom face and the top face) are both rectangles.

Explanation:

a) Looking at the given rectangular prism and counting the faces, we can see that there are 6 faces in all. Out of the 6 faces of the rectangular prism, we can see that there are 3 pairs of opposite faces.

b) A prism is any 3-dimensional shape that has two identical shapes called bases facing each other.

If the two identical shapes facing each other are rectangles, then the prism is termed a rectangular prism.

Therefore, we can say that the given figure is called a rectangular prism because its bases ( the bottom face and the top face) are both rectangles.

Given:

Domain:

she spent 525 on Food

she spent 750 on rent

she spent 775 on others

she spent 450 on fun

Explanation

to find the value of the percentage of any number just use this formula

so

to find the values, apply the formula

Step 1

a) food :21 %

so

it means she spent 525 on Food

Step 2

b) Rent:30 %

so

it means she spent 750 on rent

Step 3

c)other:31 %

so

it means she spent 775 on others

Step 4

d)Fun:18 %

so

it means she spent 450 on fun

I hope this helps you

SOLUTION

From the question, the athlete eats 45 g of protein in a day. This means that in 23 days the athlete will eat

Hence the answer is 1 035 g of protein, or 1.035 kg of protein.

Note that: To change grams to kilograms, we divide by 100.

To solve this equation, we need to subtract both, 9c - 3c:

Dividing by 6 at both sides of the equation

Then

Then the answer C = 8. (Option D)