show that the area of the rectangle ABCD is 3 route 5 cm

Answer:

A. 2x - 1

Step-by-step explanation:

We want the price of each notebook, so we will get this equation.

(4x^2 + 2x + 1) / (8x^3 - 1)   [ The " / " sign means I wrote as a fraction. ]

After that, we will use this method to factor ( 8x^3 - 1 ).

a^3 - b^3 = ( a - b )( a^2 + ab + b^2 )

1 can be wrote as 1^3 as we still get the same answer.

8^3 - 1^3 = ( 2x - 1 )( 4x^2 + 2x + 1)

So, we will get this.

(4x^2 + 2x + 1) / ( 2x - 1 )( 4x^2 + 2x + 1)

Now, we can cross out the ( 4x^2 + 2x + 1 ).

We will be left with 1 / ( 2x - 1 ).

Flip it and we will get ( 2x - 1 )

And that is the answer.

I hope it helps.

Answer:

26

Step-by-step explanation:

The way to find the area of a triangle is 1/2(b)h=A. Knowing this, we can substitute and solve:

416=1/2(32)h

Multiply:

416=16*h or 16h.

To isolate h, we need to divide both sides of the equation by 16. When we do this, we get:

h=26

Hope this helped!

The graph of the points are,

X = (3, 3)

Y = (1, 1)

Now, We can apply the given transformation of a translation along <1, 0> and a rotation of 90 degrees clockwise about the origin.

Here, The translation along <1, 0> means that to move every point on the graph 1 unit to the right.

And, The rotation of 90 degrees clockwise about the origin means to  rotate every point 90 degrees in the clockwise direction around the origin, which is the point (0,0) on the plane.

So, for transform the line segment XY, the translation by adding 1 to the x-coordinate of each point.

Hence,. We get;

X =  (-3, 3)

Y = (-1, 1).

Next, we can apply the rotation by using the formula:

(x', y') = (xcosθ + ysinθ, -xsinθ + ycosθ)

where (x, y) are the coordinates of the original point, (x', y') are the coordinates of the transformed point, and θ is the angle of rotation (in radians).

For rotating 90 degrees clockwise, we can substitute θ = -π/2 (negative because we are rotating clockwise) into the formula to obtain:

(x', y') = (y, -x)

So, to transform point X (-3,3), we have:

(x', y') = (y, -x) = (3,3)

And to transform point Y (-1,1), we have:

(x', y') = (y, -x) = (1,1)

Thus, The graph of the points are,

X = (3, 3)

Y = (1, 1)

Learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ1

Answer:

42

Step-by-step explanation:

129/3= 43

43 firecrackers contains 1 duds

1806/43= 42

Answer:33.cm

34cm

Step-by-step explanation:

yes

Answer:

12.5

Step-by-step explanation:

Answer:

$12.50

Step-by-step explanation:

so u do revers math 4 x ?? = 50

so i took the time and found out 4 x 12= 48 but 4 x 13= 52 so i did the math and added .5 so i then times 4 x 12.5 witch ended up = 50 so every one got 12 dollars and 50 cents

Answer:

549

Step-by-step explanation:

The order of operations is a sequence in which operations should be performed to evaluate a mathematical expression correctly. A common way to remember is PEMDAS:

To simplify the expression 19×33−2(16+23) using the order of operations, first solve the operations inside the parentheses:

Now we multiply:

The expression now looks like this:

Perform the multiplication before the subtraction:

Now that we have done the multiplication, we can subtract:

Therefore, the expression simplified is 549.

Answer:

b

Step-by-step explanation:

Answer:

0.44

Step-by-step explanation:

Cosine is equal to the adjacent side divided by the hypotenuse.

For Q' this would be 11/25. 11/25=0.44

Step-by-step explanation:

just breathe and read it carefully. no need for panic. all you need is common sense, nothing fancy.

the tools and definitions to use are given in the description. we only need to use them.

the height of the point of view is 44 + 6 = 50 ft (because the eyes are again 6 ft above the top of the hill, and we are dealing with what the eyes can see).

so, the seeable distance D in miles is then

D = sqrt(2×50) = sqrt(100) = 10 miles

she will be able to see approximately 10 miles to the horizon.

Answer:

x+131=180

then subtract 131

x=49

Answer:12 to 25 yrs

Step-by-step explanation:

convert 12% to a decimal

Answer:

D. -1,1, -1/7,1/7

Step-by-step explanation:

Use all the factors of the leading coefficient, 7. And also, all the factors of the constant, 1.

Put the factors of the constant on top (numerator). Put the factors of the leading coefficient on the bottom (denominator).

+- 1/1 and +- 1/7

Simplifying:

-1, 1, -1/7, 1/7

That's it. Just list of possibilities of the rational zeroes.

The limit of (ln\(x^{5}\))/(x-1) is equal to 20 as x approaches 1.

A limit is defined as a value that a function approaches the output for the given input values. Limits are important in calculus and mathematical analysis and used to define integrals, derivatives, and continuity.

we can use L'Hopital's rule to estimate this limit:

lim x approaches 1 (ln\(x^{5}\))/(x-1)

= lim x approaches 1 (5lnx × \(x^{4\))/(1)

= 5 lim x approaches 1 (lnx × \(x^{4}\) )

∴ we can use L'Hopital's rule again:

= 5 lim x approaches 1 [(1/x) × 4x³ ln(x) × 4x³]

= 5 lim x approaches 1 [4x² ln(x) × 12x²]

= 5 [4 ln (1) × 12]

= 20

So, the limit of (ln\(x^{5}\))/(x-1) is equal to 20 as x approaches 1.

Learn more about calculus here

https://brainly.com/question/22810844

#SPJ1

​

Answer:

10,293

Step-by-step explanation:

Assuming max value is an integer. int max(int x, int y) { if (x > y){ return x; } else { return y; } }.The function call max(4, 7) is a valid function call.

A valid function call for the given function would be:
max(4, 7)
Here's the step-by-step explanation:
1. The function definition is:
int max(int x, int y) {
 if (x > y){
   return x;
 } else {
   return y;
 }
}
2. In the function call, we need to provide two integer values as arguments to the function. For example, max(4, 7).
3. In this case, the first argument is 4 and the second argument is 7.
4. The function compares the two arguments using the if statement. Since 4 is greater than 7, the condition x > y is true.
5. As a result, the function returns the value of x, which is 4.
Therefore, the function call max(4, 7) is a valid function call.

To learn more about function

https://brainly.com/question/11624077

#SPJ11

Answer:

10

Step-by-step explanation:

The maximum period of time they could reserve the meeting space is 9 hours.

Mathematical expressions with the symbols > and are known as inequality. Finding a range, or ranges within ranges, of values that an unknown x can have while still satisfying the inequality is referred to as "solving" an inequality. In this lesson, inequalities are resolved using graphs and algebra.

An algebraic inequality expression is a mathematical statement that uses the it as a sign to connect an expression to a value, a variable, or another expression. One type of variable inequalities can have solutions that can be graphed either in a coordinate plane or on a number line.

Inequality expression is 31 + 5.9*t < 84.10.

To understand it, collect all constant on the right side:

5.9*t < 84.10 - 31 = 53.10,

Hence, t < 53.10 % 5.9 = 9 hours.

Learn more about Inequality visit this link : brainly.com/question/25944814

#SPJ4

Correct Question:

To rent a certain meeting room, a college charges a reservation fee of $31 and an additional fee of $5.90 per hour. The chemistry club wants to spend less than $84.10 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.

Answer:

the equation to finding slope is this:

y2-y1 / x2-x1

Where y2 is the y value of the second point, y1 is the y value of the first point, x2 is the value of the second x value, and x1 is the x value of the first point.

5-0 / -2-2

5/-4

-5/4 is the slope

Step-by-step explanation:

Answer:

\(m=\frac{-5}{4} \\\) which is the slope.

Step-by-step explanation:

Since we have two points on the line, we can easily calculate the slope.

Point 1 = (-2, 5)

Point 2 = (2, 0)

\(m=\frac{rise}{run}\\m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{0-5}{2-(-2)} \\m=\frac{-5}{4}\)

Mining has a negative effect on home prices in the county, reducing the price of a 2,000-square-foot house with three bedrooms by approximately $8,400.

Comparative statics is a method used to analyze how changes in one variable affect another. In this case, we are examining the effect of mining on home prices in the county. We are given that the company mines 300,000 tons of coal per year, which is worth $79 per ton. Therefore, the annual value of coal production is 300,000 tons * $79 = $23,700,000.

Now, let's consider the effect on home prices. We are given that the average price for a 2,000-square-foot house with three bedrooms located more than 20 km away from the mining site is $210,000. However, for a similar house within 4 km of the mine, the price is 4 percent lower.

To calculate the price reduction, we can multiply $210,000 by 4 percent (0.04). The reduction in price is $210,000 * 0.04 = $8,400. Therefore, the effect of mining on home prices in the county is a decrease of approximately $8,400 for a 2,000-square-foot house with three bedrooms.

It's important to note that this analysis assumes a linear relationship between the proximity to the mine and home prices. Other factors, such as environmental concerns or changes in the local economy, may also influence home prices in the area.

Learn more about reducing here:

https://brainly.com/question/30180045

#SPJ11

Answer:

the rivers in the area resulted in fish becoming a main food source

Step-by-step explanation:

i took the k12 test

How were the Catawba people affected by the environment of the region that they settled in?A.They built their homes high up in trees above the marshlands.B.They built shelters from clay bricks using the soil found in the area.C.They built their villages near rivers of the region and relied on fish as a food source.D.They built villages in the mountainous areas to avoid flooding rivers.

We can conclude that each of the proposals can be represented by linear functions.

The class has money in the accounts now because the linear function of each proposal has an initial value (b).

The graph representing Sarah's Proposal is a straight line graph, therefore Sarah's proposal can be represented by a linear function.

The table representing Gene's Proposal shows the unit rate = change in y / change in x = 7. Therefore, it can be represented by a linear function.

The equation for Paul's proposal is a linear function.

Therefore, we can conclude that each of the proposals can be represented by linear functions.

The class has money in the accounts now because the linear function of each proposal has an initial value (b).

Learn more about Linear Function on:

https://brainly.com/question/15602982

The total probability of a girl having a "K-name" is 3/8. The total probability of there being a girl in the club is 5/8.

Therefore, the conditional probability of having a girl with a "K-name" given that there is a girl in the club can be calculated as follows:

P (Girl | K-name) = P (K-name | Girl) × P (Girl) / P (K-name) = 2/5 * 5/8 / 3/8 = 2/3

Therefore, the probability of a girl with a K-name given that there is a girl in the club is 2/3.

In a club consisting of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve, and Samuel), we are asked to find P(Girl | K-name).

We can use Bayes' theorem to calculate the conditional probability of this event. This theorem states that the probability of an event given another event can be calculated as the product of the probability of the second event Therefore, the probability of a girl having a "K-name" given that there is a girl in the club is 2/3.

The conditional probability of there being a girl in the club given that a girl has a K-name is 2/3.

To know more about conditional probability visit:

brainly.com/question/10567654

#SPJ11

Answer:

3d^2-9d

=3d(d-3)

Therefore,GCF IS 3d

A proportional relationship is a relationship between variables such that the amount of one variable is a multiple of the other variable

A table showing the amount of sugar in different sizes of orange juice is presented as follows;

\(\begin{array}{|c|cc|}\mathbf{Amount \ of \ orange \ juice, \ x}&&\mathbf{Quantity \ of \, sugar\ (g), \ f(x)}\\3&&8.25\\6&&16.5\\9&&24.75\\12&&33\\15&&41.25\end{array}\right]\)

Reason:

The given parameter are;

12 ounces of orange juice contains 33 grams of sugar

Therefore, we have;

The amount of sugar per ounce of orange juice is given as follows;

\(1 \ ounce \ of \ orange \ juice \ contains, \dfrac{33 \ grams }{12 } = 2.75 \, grams \, of \, sugar\)

Therefore, there are 2.75 grams of sugar per ounce of orange juice

which gives;

The amount of sugar in different sizes of orange juice, f(x) = 2.75·x

Where x represents the amount of orange juice, and f(x) represents the amount of sugar in the orange juice

A table showing the amount of sugar present in different sizes of orange juice is given as follows;

\(\begin{array}{|c|cc|}\mathbf{Amount \ of \ orange \ juice, \ x}&&\mathbf{Quantity \ of \, sugar\ (g), \ f(x)}\\3&&8.25\\6&&16.5\\9&&24.75\\12&&33\\15&&41.25\end{array}\right]\)

Learn more here:

https://brainly.com/question/18424356

https://brainly.com/question/12725505

Answer:

384 offices

Step-by-step explanation: 32 x 12= 384

The number of offices in the 32-floor building is 384.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a big building downtown has 32 floors. Each floor has 12 offices. The number of offices in the building is calculated as:-

Number of offices = 32 x 12

Number of offices = 384

Hence, the number of offices will be 384.

To know more about an expression follow

https://brainly.com/question/1969513

#SPJ2

Answer:

1.09575e+11

Step-by-step explanation:

Based on the given information, we can conclude that tuition at Penn State has increased more rapidly than inflation.

The price index measures the average change in prices of a basket of goods and services over time. In this case, the price index increased from 207.34 in 2007 to 226 in 2012, indicating an overall inflation rate of approximately 9% over that period. On the other hand, tuition at Penn State increased from $6,142 to $7,562, representing an increase of approximately 23%.

When comparing the rates of increase, we can see that tuition has outpaced inflation. This implies that the cost of education at Penn State has been rising more rapidly than the general increase in prices for goods and services. It suggests that factors specific to the education industry, such as rising costs of resources, facilities, and personnel, have contributed to the higher tuition rates.

Learn more about inflation here:

https://brainly.com/question/31257026

#SPJ11

The complete question is:

Assume tuition at Penn State cost $6,142 (per semester) in 2007 and $7,562 in 2012. If the price index was 207.34 in 2007 and 226 in 2012, then we could say:

Answer:

y = .5x + 6

Step-by-step explanation:

7=1 +c

c = 6

hope this is right

Answer:

y=2x+3

Step-by-step explanation:

Expression that shows the number of baseball card is c - (40/100 × c)

In mathematics, expression is the mathematical statement made up of numerical and variable terms along with operator. By using expression mathematical operation is described in a symbolic form.

Given, the total number of cards = c

40% cards are basketball cards

So, the number of basketball card -= 40/100 × c

We know that total cards are the sum of basketball card and baseball card.

Now, baseball card = c - (40/100 × c)

To know more about expression visit:

https://brainly.com/question/22055355

#SPJ4

Answer:A perfect square is a number which is generated by multiplying two equal integers by each other. For example, number 9 is a perfect square because it can be expressed as a product two equal integers being: 9 = 3 x 3.

Step-by-step explanation: