What is the surface area of the triangular pyramid that can be formed from this net?

32 m

58 m

46 m

To find the value of 5x + 5y, you can solve the system of equations using the elimination method, and substitute the values of x and y into the expression.

To find the value of 5x + 5y based on the system of equations:

2x + 3y = 1200

3x + 2y = 1300

we can solve the system by either substitution or elimination method. Let's use the elimination method:

The value of 5x + 5y in this system of equations is 12500.

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Answer:

x=2

Step-by-step explanation:

x^2 + 4x - 16 = 0

I'm using the quadratic formula to solve this equation.

A = 1

B = 4

C = -16

x = -b +- [tex]\sqrt{b^2 - 4ac}[/tex]  

over 2a

Plug it in:

x= -4 +- [tex]\sqrt{4^2 -4(-16)}[/tex] over 2

x= -4 +- [tex]\sqrt{16+64[/tex] over 2

x = -4 +-[tex]\sqrt{80}[/tex] over 2

x = -4 +- 4[tex]\sqrt{5[/tex]

Divide by 2.

x = -2 +- 2[tex]\sqrt{5[/tex]

Therefore, x would be -2 + 2[tex]\sqrt{5}[/tex], -2 - 2[tex]\sqrt{5}[/tex]

Convert to decimal form: 2.47213595, -6.47213595

Round it: 2.4714595 = 2.5 and -6.47213595 = -6.5

Answer: C(t) = -475.5*cos(t*pi/6) + 475.5

Step-by-step explanation:

We know that we have a sinusoidal relation, with a minimum at 9:00 am and at 9:00 pm.

If we define the 9:00 am as our t = 0, we have that the maximum, at 3:00pm, is at t = 6 hours.

and the other minimum, at 9:00pm, is at t = 12 hours.

Then we need to find a trigonometric function that has the minimum at t = 0, we can do this as:

-Cos(c*t)

when t = 0

-cos(0) = - 1

then we have a function:

C(t) = -A*cos(c*t) + B

where A, c and B are constants.

We know that at t = 0 we have 0 customers, and that at t = 6h we have 875 customers, that is the maximum.

then:

C(0) = 0 = -A + B

this means that A  = B, then our function is:

C(0) = -A*cos(c*t) + A.

now, at t = 6h we have a maximum, this means that -A*cos(c*6h) = A

then:

C(6h) = A + A = 875

2A = 875

A = 875/2 = 437.5

and we also have that, if -cos(c*6) = 1

then cos(c*6) = -1

and we know that cos(pi) = -1

then c*6 = pi

c = pi/6

Then our function is

C(t) = -475.5*cos(t*pi/6) + 475.5

Final answer:

On average, one customer arrives every two minutes at Somerset Mall on a Saturday, which means it takes six minutes on average for three customers to arrive. This question applies trigonometry, algebra, and statistical concepts.

Explanation:

A research firm finds that the average number of customers in Somerset Mall on a Saturday varies sinusoidally with time. The question involves understanding sinusoidal functions, their applications, and basic statistical concepts related to customer arrival rates. The sinusoidal nature of customer arrivals is a practical application of trigonometry and algebra in solving real-world problems.

Part a: Average Minutes Between Arrivals

Given that 30 customers arrive per hour, to find the average time between successive arrivals, we divide the number of minutes in an hour by the number of arrivals: 60 minutes / 30 customers = 2 minutes. Therefore, on average, one customer arrives every two minutes.

Part b: Time for Three Customers to Arrive

Since one customer arrives every two minutes on average, for three customers to arrive, it would take 3 * 2 minutes = 6 minutes on average.

The model's assumption that customers arrive one at a time and at a constant rate throughout the day simplifies the real-life complexity of customer behavior and peak shopping times. This is a critical consideration in the practical application of mathematical models in business.

Answer:

6 5/6

Step-by-step explanation:

8

- 1 1/6

We need to borrow from the 8

We will borrow 1 from the 8 and make it a 7.  The 1 will be written in the form 6/6

7 6/6

- 1 1/6

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

6  5/6

Answer:

Pythagorean Theorem

SSS

C

the definition of right triangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the value a is positive in the linear equation y = a x ( for example: y = 2 x ) then the line ( from the left to the right ) must go up and to the right. It also passes through the origin ( 0, 0 ).           For x = 1: y = 2 * 1 = 2, so that point is ( 1, 2 ),  x2 > x1,  and y2 > y1.Answer:A. goes up and to the right.

Final answer:

The line described by the equation y = ax slopes upward to the right when the value of a is positive, illustrating a positive relationship between x and y.

Explanation:

The equation y = ax describes a linear relationship between x and y. When the value of a is positive, the line slopes upward to the right on a graph. This behavior is because a positive slope indicates that as the x-value increases, the y-value also increases, leading to an upward trajectory on the graph.

The direction in which the line moves across the graph depends solely on the sign of a, where a positive a signifies an upward slope and a negative a results in a downward slope. Specifically, for a positive a, for every unit increase in x, there is a proportional increase in y, making the graph rise from left to right.

Answer:

1/2

Step-by-step explanation:

Do  I get brainliest?

Answer:

1/2

Step-by-step explanation:

Answer:

$165

Step-by-step explanation:

Money spent:

Josh=42

Maia=48

Max=35

Mark and Victoria = 40

35 + 40 + 42 + 48 = $165

Answer:

$205 as it was said $40 each for Mark and Victoria

Step-by-step explanation:

Josh =42 sn

Maia = 48 hd/hb

42+48 = 90

Max = 35 rolls,cd,lt+tm

Mark =40 drinks

Victoria = 40 drinks

35 +80 = 115

115+90 = $205

The question revolves around determining whether it's more economical to purchase soda in a pack or individually at a clearance sale. The provided example further illustrates the price elasticity of demand using the sale of diet cola as an illustration.

The question concerns the cost comparison between buying individual cans of soda versus buying them in a pack during a clearance sale. With a pack of 8 cans costing $3.20, the price per can in a pack is $0.40. On the other hand, a single can costs $0.50. Looking at these prices and comparing them to the provided reference information, buying soda by the pack falls into the '50-99 cents per pack' range, indicating that it's more cost-effective compared to buying soda cans individually for $0.50 each.

Additionally, the example involving diet cola and its price changes introduces the concept of price elasticity of demand, which measures how the quantity demanded of a good responds to a change in price. The given statistics demonstrate a direct relationship between the price of diet cola and the number of cans sold: a rise in price reduces sales, leading to less total revenue, indicating that the demand for diet cola is price elastic.

Answer:

B. 5,200

Step-by-step explanation:

Sarah's essential (fixed) expenses = $750 per month

Her essential (flexible) expenses = $500 per month

Her non-essential expenses = $250 per month

Her total monthly living expenses = 750 + 500 + 250 = $1,500

Sarah wants an emergency fund of 5 times monthly living expenses.

1500 × 5 = $7,500

Currently she is having her emergency fund savings account is = $2,300

She needs to save more = 7,500 - 2,300 = $5,200

Sarah need to save more $5,200.

Sarah need to save $5,200 to have an adequate emergency fund.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Sarah's essential (fixed) expenses = $750 per month

Her essential (flexible) expenses = $500 per month

Her non-essential expenses = $250 per month

⇒ total monthly living expenses = 750 + 500 + 250 = $1,500

∵ Sarah wants an emergency fund of 5 times monthly living expenses.

∴ emergency fund = 1500 × 5 = $7,500

Currently she is having her emergency fund savings account = $2,300

Thus, Amount needs to be save = 7,500 - 2,300 = $5,200

Thus, Sarah need to save $5,200 to have an adequate emergency fund.

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Answer:

(-5, 18)

Step-by-step explanation:

7x + 2(3 − 3x) = 1 simplifies to

7x + 6 - 6x  = 1,   which, in turn, simplifies to:

x = -5

Using y = 3 - 3x (see Step 1), we find that y = 3 - 3(-5) = 3 + 15 = 18.

Thus, the solution is (-5, 18).

Answer:

Step-by-step explanation:

here is the answer

Answer: The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. The vertex of the parabola is (2,1) . So, the axis of symmetry is the line x=2.

Step-by-step explanation:

Answer:

C.Lines r and s and lines t and u must be parallel.

Step-by-step explanation:

Line r s and t must be parallel and c is closest to that lol

The lines r and s and lines t and u must be parallel option third "Lines r and s and lines t and u must be parallel" is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have:

If Angle 2 is congruent to angle 4 and Angle 5 is congruent to angle 7.

From the information given we can draw lines r, s, t, and u(please attached picture)

From the picture, we can clearly see: lines r and s and lines t and u must be parallel.

Thus, the lines r and s and lines t and u must be parallel option third "Lines r and s and lines t and u must be parallel" is correct.

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Answer:

10/20=1/2

Step-by-step explanation:

Answer:

10 times 9 is 90 divide 90 bye 15 and there u go

Step-by-step explanation:

She subtracted the coefficients instead of dividing them

Answer:

This does make a right triangle

Step-by-step explanation:

Because when you square 8 you get 64 and when you square 15 you get 225. Then you add those together and you should get 289 so when you find the square root of 289 is 17 which makes those number true

Yes, a triangle with side lengths a = 8, b = 15, and c = 17 is a right triangle.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Yes, a triangle with side lengths a = 8, b = 15, and c = 17 is a right triangle. This is because these side lengths satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we have:

a² + b² = 8² + 15² = 64 + 225 = 289

c² = 17² = 289

Since a² + b² = c², these side lengths satisfy the Pythagorean theorem, and the triangle is a right triangle.

Thus,

Yes, a triangle with side lengths a = 8, b = 15, and c = 17 is a right triangle.

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Without additional information about the height or area of the base of the prism, it is impossible to determine the base length from the volume alone.

To determine the base length of a prism when the volume is known, one must have additional information about the prism, such as the area of the base or other dimensions. Since the question does not provide any information about the height or the area of the base, we cannot calculate the base length solely from the volume. Typically, the volume of a prism is calculated using the formula V = base area × height. Without knowing either the base area or the height of the prism in this question, we cannot find the base length. Thus, we cannot choose from the provided options (10 inches, 12 inches, 13 inches, 15 inches) without additional information about the prism.

Answer:

Step-by-step explanation:

Recognize that the (1/2) in  4n=1/2(2n-12)  is a coefficient, the coefficient of the (2n - 12) term.

Thus, multiply both sides of this equation 4n=1/2(2n-12) by 2, to obtain:

8n = 2n - 12

Combining like terms, we get 6n = -12, so that n = -2.  

Multiplying both sides of the equation by a constant does not in any way affect your ability to find a solution and does not change the solution.

Answer:

Step-by-step explanation:

Where is the image

Answer:

Question 1. (2.2, -1.4)

Question 2. (1.33, 1)

Step-by-step explanation:

Equations for the given lines are

-----(1)

It is given that this line passes through two points (0, 2.5) and (2.2, 1.4).

------(2)

This equation passes through (0, -3) and (2.2, -1.4).

Now we have to find a common point through which these lines pass or solution of these equations.

From equations (1) and (2),

x =

x = 2.2

From equation (2),

y = -1.4

Therefore, solution of these equations is (2.2, -1.4).

Question 2.

The given equations are y = 1.5x - 1 and y = 1

From these equations,

1 = 1.5x - 1

1.5x = 2

x =

Therefore, the solution of the system of linear equations is (1.33, 1).

The correct approximate solution of the system of linear equations[tex]\( y = 1.5x - 1 \) and \( y = 1 \) is \( (1.33, 1) \).[/tex]

To find the solution, we need to set the two equations equal to each other since they both equal \( y \). This gives us the equation:

[tex]\[ 1.5x - 1 = 1 \][/tex]

Now, we solve for [tex]\( x \)[/tex]:

[tex]\[ 1.5x = 1 + 1 \][/tex]

[tex]\[ 1.5x = 2 \][/tex]

[tex]\[ x = \frac{2}{1.5} \][/tex]

[tex]\[ x = 1.\overline{3} \][/tex]

[tex]\[ x \approx 1.33 \][/tex]

Having found [tex]\( x \)[/tex], we can now find the corresponding [tex]\( y \)[/tex] value by substituting [tex]\( x \)[/tex] into either of the original equations. Since [tex]\( y = 1 \)[/tex] is given, we already know that [tex]\( y \)[/tex] is exactly 1. Therefore, the solution to the system is approximately [tex]\( (1.33, 1) \)[/tex].

Answer:

D) 30

Step-by-step explanation:

The third quartile is the last line of the box

Hope this helps!

A box and whisker plot is a graphical representation of variance. The third quartile of the box-and-whisker plot is 30.

A box and whisker plot is a graphical representation of variance in a set of data.

The third quartile of the box-and-whisker plot is the rightmost line of the box, which means the third quartile of the box-and-whisker plot is 30.

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Answer:

856.4

Step-by-step explanation:

10% of 8564 =856.4

Answer:

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.64})^2}=747.11[/tex]  

And rounded up we have that n=748

Step-by-step explanation:

The confidence level is 90% and the significance level would be [tex]\alpha=1-0.9=0.1[/tex] and [tex]\alpha/2 =0.05[/tex] and the critical value for this case is:

[tex] z_{\alpha/2}= 1.64[/tex]

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]    (a)  

And on this case we want a margin of error of [tex]ME =\pm 0.03[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

Since we don't hace any prior info for the population proportion we can use [tex]\hat p =0.5[/tex]. And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.64})^2}=747.11[/tex]  

And rounded up we have that n=748

Using the sample size formula, the required number of sample is 752.

Using the confidence interval relation :

Substituting the values into the equation :

n = [tex] \frac{0.5 \times 0.5}{(\frac{0.03}{1.645})^{2} }[/tex]

[tex] n = \frac{0.25}{0.0003325}[/tex]

[tex] n = 751.67[/tex]

Therefore, the required number of sample is 752.

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Answer: [tex]x=11[/tex]

Reorder the terms in parentheses

[tex]+(+2x-10)+7=x+8[/tex]

Remove unnecessary parentheses

[tex]+2x-10+7=+x+8[/tex]

Move all terms containing x to the left and all other terms to the right

[tex]+2x-1x=+8+10-7[/tex]

Simplify left and right side of the equation

[tex]+1x=+11[/tex]

divide both sides of the equation by 1 to get x

[tex]x=11[/tex]

=====================================================

Explanation:

The rule is that if [tex]|a| \le k[/tex] for some positive number k, then it can be written as the compound inequality [tex]-k \le a \le k[/tex]. This is a shorthand way of writing the two inequalities [tex]a \ge -k \ \text{ and } \ a \le k[/tex] combined together.

note: [tex]-k \le a[/tex] is the same as [tex]a \ge -k[/tex]

From here, we replace k with 3

Therefore, [tex]|a| \le 3[/tex] turns into [tex]-3 \le a \le 3[/tex] which breaks down further to [tex]a \ge -3 \ \text{ and } \ a \le 3[/tex]

The keyword "and" is important as we can't pick one or the other. We must pick both [tex]a \ge -3[/tex] and also [tex]a \le 3[/tex]

Answer:

Choice 2.  

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

Answer:

あなたがこれを翻訳するなら私はあなたを愛しています

Step-by-step explanation:

私は英語がわかりませんが、答えは4倍になります