Find the surface area of the tent to the nearest tenth. Note that the tent has no floor.

Answer:

1²/33

Step-by-step explanation:

3/11×35/9

=35/33

=1²/33

Fractions are written as a ratio of two integers. The simplified form of the expression is 35/33

Fractions are written as a ratio of two integers. Given the expression below;

3/11 of 35/9

Of means multiplication, hence;

3/11 of 35/9 = 3/11 * 35/9

Take the product

3/11 * 35/9 = 105/99

Divide through  by 3

105/99 = 35/33

Hence the simplified form of the expression is 35/33

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Health club B costs $70 each month more than Health club A.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Health Club B charges a $30 sign-up fee and $40 per month. The graph below represents what Health Club A charges.

Now, Equation of line is,

For Health club B;

⇒ y = 40x + 30

For Health Club A;

⇒ y - 121 = (333 - 121) / (6 - 2) (x - 2)

⇒ y - 121 = 212/4 (x - 2)

⇒ y - 121 = 53 (x - 2)

⇒ y - 121 = 53x - 106

⇒ y = 53x - 106 + 121

⇒ y = 53x + 15

For each month,

Cost For Health club B;

⇒ y = 40x + 30

⇒ y = 40 + 30

⇒ y = $70

Cost For Health Club A;

⇒ y = 53x + 15

⇒ y = 53 + 15

⇒ y = $68

Thus, Health club B costs $70 each month more than health club A.

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Answer:

slope:1/4

y-intercept 0,2

                  4,3

Step-by-step explanation:

Answer:

constant is - 19

Step-by-step explanation:

the constant is the term in an expression with no variable attached to it.

12r + \(\frac{r}{2}\) - 19

the only term without the variable r attached to it is - 19

then the constant term is - 19

Answer: 2.333333...

Step-by-step explanation:

If we apply rise over run, we see that it rises 3.5 spaces, and runs 1.5, which means that   \(m = \frac{rise}{run} = \frac{3.5}{1.5} = 2.33333...\)

Step-by-step explanation:

An acute triangle is a triangle whose angles are all acute (i.e. less than 90°). In the acute triangle shown below, ∠a, ∠b and ∠c are all acute angles. Example 1: A triangle has angles 46°, 63° and 71°.

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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The height of the pole to the nearest foot, given the angle of elevation and the surveyor distance, is C. 135 ft

To find the height of the pole, we can use the tangent function from trigonometry. The tangent of the angle of elevation (44°) is equal to the ratio of the height of the pole (h) minus the transit height (4 feet) to the distance between the transit and the pole (140 feet).

So, we have:

tan(44°) = (h - 4) / 140

h - 4 = 140 × tan(44°)

h = 140 × tan(44°) + 4

h = 140 × 0.965 + 4

h = 135.1

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The required Tigran traveled 9/10 of the whole trip during these two hours.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
In the first hour, Tigran drove 2/5 * 150 miles = 60 miles.

The remaining distance after the first hour is 150 miles - 60 miles = 90 miles.

In the second hour, Tigran drove 5/6 * 90 miles = 75 miles.

So in total, Tigran traveled 60 miles + 75 miles = 135 miles during these two hours.

To find the fraction of the whole trip that Tigran traveled during these two hours, we divide the total distance traveled by the whole trip distance:

135 miles / 150 miles = 9/10

Therefore, Tigran traveled 9/10 of the whole trip during these two hours.

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The sucrose concentration is of a sucrose solution with an absorbance of 30% is standard curve

To do this, we need to look at the standard curve and find the point on the curve that corresponds to an absorbance of 0.30. We can then read off the concentration of sucrose at that point.

It's important to note that the accuracy of our estimate depends on how closely the sample's absorbance matches the absorbance values on the standard curve. If the absorbance of the sample falls between two points on the curve, we may need to interpolate to estimate the concentration.

In summary, we can estimate the concentration of sucrose in a solution with an absorbance of 0.30 by using the standard curve. We find the point on the curve that corresponds to an absorbance of 0.30 and read off the concentration of sucrose at that point.

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If a is a set of real numbers that is bounded above and b is a set of real numbers that is bounded below, there is at most one real number that can exist in both sets.

A real number is any number that can be expressed as a decimal or fraction and exists on the number line.

If a set of real numbers, represented by a, is bounded above, it means that there exists a real number, represented by M, such that all the numbers in the set are less than or equal to M. Similarly, if a set of real numbers, represented by b, is bounded below, it means that there exists a real number, represented by m, such that all the numbers in the set are greater than or equal to m.

Now, let's consider a real number, represented by x, that exists in both sets a and b. If x exists in a, it must be less than or equal to M and if x exists in b, it must be greater than or equal to m. Hence, x must satisfy both conditions: M >= x >= m.

From these conditions, it can be deduced that M and m must be equal to x. In other words, there can only be one real number that is simultaneously the greatest value in a and the smallest value in b.

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Answer:

The answer would be 8.1

Step-by-step explanation:

For the smaller triangle, you use the pythagorean theorem. a squared + b squared = c squared.

To find one of the legs, you do 5 squared - 3 squared = b squared.

25 - 9 = b squared. (BD)

16 = b squared

4 = b

Now for the bigger right triangle. You still use the same tactic.

7 squared + 4 squared = c squared (which is AB)

49 + 16 = c squared

65 = c squared

That means c would equal: square root of 65, which is 8.0622577483 which rounds to 8.1

Answer:

translate?

Step-by-step explanation

translate it and i can help

Step-by-step explanation:

a normal function expresses y (the functional result) in terms of x (and constants).

we need to transform this to express now x in terms of y (and constants).

at the end we only rename x into y and y into x to make it an actual function.

h(x) = y = (-5x + 6)/(3x + 4)

y(3x + 4) = (-5x + 6)

3xy + 4y = -5x + 6

4y - 6 = -5x - 3xy = x(-5 - 3y)

x = (4y - 6)/(-5 - 3y)

and after renaming we get therefore the function

y = h-1(x) = (4x - 6)/(-3x - 5)

Answer:

3 feet

Step-by-step explanation:

To solve this problem, we can use the Pythagorean theorem. Let's call the distance from the tent pole to the rope x. We can set up the following equation:

x^2 + 12^2 = 15^2

Solving for x, we get:

x = sqrt(15^2 - 12^2)

x = sqrt(9)

x = 3

Therefore, the distance from the tent pole to the rope is 3 feet.

Based on the rate at which all three computers process bills, the time taken for the computers to process 1,780 bills is 4 minutes.

First find the number of bills left when the third computer joined:

= 1,780 - (160 x 1.5 mins) - (160 x 1.5 mins)

= 1,300

Then the average speed of all three computers is:

= 160 + 160 + 200

= 520 bills per minute

The time taken to finish up the other bills would be:

= 1,300 / 520

= 2.5 minutes

Add this to the minutes already elapsed before the third computer was used:

= 2.5 + 1.5

= 4 minutes

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The prices of Coke and Popcorn are $0.50 and $1.00, respectively, and not $1.00 and $0.50, respectively because of the inverse relationship of Coke units bought and Popcorn units bought.

An inverse relationship implies that higher values of one variable are associated with lower values of another comparable variable.

This situation is further graphically illustrated as shown and explained below:

When 20 Coke units are bought, 0 Popcorn unit is bought. When 10 Popcorn units are bought, 0 Coke unit is bought.

From the graph, the points can be plotted as follows:

Points: (0 popcorn, 20 coke) and (10 popcorn, 0 coke)

Money income = $10

Price of Coke = $0.50

Price of Popcorn = $1.00

Using the $10, the units of Coke bought = 20, since $10 = ($0.50 x 20)

Using the $10, the units of Popcorn bought = 10, since $10 = $1 x 10)

Thus, an inverse relationship exists between the units of Coke and Popcorn that one can buy, given the money income and the prices of the goods.

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The three-dimensional shape is formed would be as;  rectangle

Consider the square that has to be rotated about the axis as shown in the picture.

In the attached diagrams this square is black rectangle ABCD.

While rotating each point of the square will describe the circle. The circles with the greatest radii will be circles made by the points from the side that is opposite to the side on the axis of rotation.

We can take that point in any of the two surrounding quadrants. Example, if the point is on the positive x axis, then it can taken as of first quadrant or fourth quadrant.

The formed figure appears to be a rectangle.

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Answer:

y = 10

Step-by-step explanation:

y - 7= 3

Add 7 to each side

y-7+7 = 3+7

y = 10

Answer:

y = 10

Step-by-step explanation:

y - 7 = 3

y = 7 + 3

y = 10

Hope that helps!

The solutions to the equation 1x² - 16x = 20 are x = 8 + 2√21 and x = 8 - 2√21.

To solve the quadratic equation 1x² - 16x = 20, we need to rearrange it into the standard form ax² + bx + c = 0. Let's simplify the equation step by step:

1x² - 16x = 20

First, move all terms to one side of the equation:

1x² - 16x - 20 = 0

Now we have a quadratic equation in the standard form. To solve it, we can use factoring, completing the square, or the quadratic formula. In this case, factoring may not be straightforward, so let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation, a = 1, b = -16, and c = -20. Substituting these values into the quadratic formula:

x = (-(-16) ± √((-16)² - 4(1)(-20))) / (2(1))

Simplifying further:

x = (16 ± √(256 + 80)) / 2

x = (16 ± √336) / 2

x = (16 ± √(16 * 21)) / 2

x = (16 ± 4√21) / 2

Simplifying:

x = 8 ± 2√21

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The surface area of the solid is 281 ft².

Given that, a solid figure made of a rectangular prism and a square pyramid,

We need to find its surface area,

To find the same, we will find the lateral surface area of square pyramid, and total surface area of rectangular prism,

So,

Surface area = 2×side×slant height + 2(length·width+width·height+height·length)-base area of the square pyramid,

= 2×5×5 + 2(4·12+12·5+4·5)-5²

= 50+256-25

= 281 ft²

Hence the surface area of the solid is 281 ft².

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Answer:

d) 189.3 in²

Step-by-step explanation:

Area of rectangle is,

→ w × l

→ 10 × 15

→ 150 in²

Area of semi circle is,

→ (1/2)πr²

→ (1/2) × 3.14 × (5)²

→ 1.57 × 25

→ 39.3 in²

Now the total area will be,

→ 150 + 39

→ 189.3 in²

Thus, total area is 189.3 in².

Answer:the line x+y<10 has a negative slope and a positive y intercept

The line representing 20x+25y>200 is solid and the graph is shaded above line

The overlapping region contains the point (4,5)

Step-by-step explanation:

;)

Answer:

The answers are B, C, and E.

Step-by-step explanation:

I got it right on edge

y = 1/3x - 21 is the equation of the line in slope-intercept form.

What is a slope?

Slope is a measure of the steepness or incline of a line. It describes how much the dependent variable (usually y) changes for a given change in the independent variable (usually x).

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

We are given that the slope is 1/3 and that the line passes through the point (3, -20). We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

where (x1, y1) is the point through which the line passes, and m is the slope. Plugging in the values we have:

y - (-20) = 1/3(x - 3)

Simplifying this equation:

y + 20 = 1/3x - 1

Subtracting 20 from both sides:

y = 1/3x - 21

This is the equation of the line in slope-intercept form.

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Answer:

Option C: 20 cm^2

Step-by-step explanation:

Essentially, surface area is just area added up. In this question, there are 4 same rectangles and 2 squares with the areas given. So you have to figure out the total.

Since there are 4 rectangles and each of them has an area of 4cm just multiply 4 by 4 to get 16.

Then, since there are 2 squares with an area of 2 cm each just multiply 2 by 2 to get 4.

Add both numbers, 16 + 4 = 20 and you get your answer.

The total surface area would be 20cm^2.

Answer:

159 días.

Step-by-step explanation:

Dado que Emiliano firmó hoy un pagaré por la cantidad de $ 92.000 a una tasa de interés estipulada de un 20% anual, para determinar la cantidad de días que se necesitan para que dicho interés genere unos $8.000 se debe realizar el siguiente calculo:

92.000 x 0.2 = X

18.400 = X

18.400 / 365 = 50,41

8.000 / 50,41 = X

158.69 = X

Así, se necesitarán 159 días para que se generen $8.000 en intereses.

It takes time of near about 35 year.

Given that,

Storage capability of computers has been doubling every 5 years

The date of 1st computer made = 1980

computer could store 5 megabytes,

Now,

We can use the following calculation to determine how long it took computers to store 100 megabytes:

Therefore,

Log₂ (final amount / beginning amount)

=  Log₂ (100 / 0.5)

= log₂ (200)

= 7.64 is the number of doublings.

If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.

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Answer:

\(x=-\frac{4}{5}\)

Step-by-step explanation:

\(6=\frac{3}{4}(10x+16)\\\mathrm{or,\ }6\times 4=3(10x+16)\\\\\mathrm{or,\ }24=30x+48\\\\\mathrm{or,\ }-24=30x\\\\\mathrm{\therefore}\ x=-\frac{4}{5}\)