Emily drew a scale drawing to represent her bedroom. The drawing is rectangular. The longer sides measure 42.5 centimeters and the shorter sides measure 35.5 centimeters.

Emily decides she wants the drawing to be smaller. She reduce it by a scale factor of 1/2. What will be the measure of the shorter sides? Select from the drop-down menu to correctly complete the statement.

Answer:

\(4^{-8} \\4^{-2}\\4^{8}\\4^2\)

Step-by-step explanation:

For the first few exponents multiply and the rest they add because like terms.

The trick is that when you raise a power to a power you multiply. Otherwise you add if the base value is the same.

Answer:

43rd term = 50

Step-by-step explanation:

\(43rd \: term = 50\)

The required 43rd term will be 50 in the given arithmetic sequence.

An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.

The arithmetic sequence is given in the question as:

260, 255, 250...

This above sequence has:

The first number a₁ = 260

Common difference d = 255 - 260 = -5

The formula to find the general term of an arithmetic sequence is,

Tₙ = a₁ + (n-1)d ...(i)

Substitute the value of d = -5 and a₁ = 260 in the above formula

43rd term = 260 + (43-1)(-5)

43rd term = 260 - 42(5)

43rd term = 260 - 210

43rd term = 50

Therefore, the required 43rd term will be 50.

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Answer:

The box has a surface area of 11.75 square meters

Step-by-step explanation:

Please give brainliest

Answer:

11.75

Step-by-step explanation:

Don't really know how to explain this over a computer, but it is correct. Omnicalculator is very helpful.

Hope that this helps!

To solve the expression -25 x (84/21) + (-3) x (-6), follow these steps:

Step 1: Perform the division inside the parentheses.
(84/21) = 4

Step 2: Replace the terms and rewrite the expression.
-25 x (4) + (-3) x (-6)

Step 3: Perform the multiplications.
-25 x 4 = -100
-3 x -6 = 18

Step 4: Rewrite the expression and perform the addition.
-100 + 18

Step 5: Calculate the final result.
-100 + 18 = -82

Your answer is -82.

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The critical number of the function g(y) is -1/8.

The given function is g(y) = y - 4y^2 - 2y + 8To find the critical points of the given function g(y), we need to follow the below steps:

Step 1: Find the first derivative of the given function g(y) with respect to y.

Step 2: Set the first derivative of g(y) equal to zero.

Step 3: Solve for y to get the critical points of the given function g(y).

Step 1:First, we need to find the first derivative of the given function g(y) with respect to

y.g(y) = y - 4y^2 - 2y + 8

Differentiating with respect to y, we get:g'(y) = 1 - 8y - 2

Step 2:Next, we need to set the first derivative of g(y) equal to zero and solve for y to get the critical points of the given function g(y).g'(y) = 0⇒ 1 - 8y - 2 = 0⇒ -8y - 1 = 0⇒ -8y = 1⇒ y = -1/8

Hence, the critical number of the function g(y) is -1/8.

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Answer:

I think infinite since it goes on past these numbers.

Step-by-step explanation:

Answer:

Infinity solutions

Step-by-step explanation:

This inequality has infinite solutions because the number line goes from 3 to infinity. this means that there is an uncountable number of solution which means the answer to this question is E.

Answer: 804 meters

Step-by-step explanation:

Area of a circle = πr²

Radius = 16m

π(16)² = 804.2477193 meters

Answer:

x = 17

Step-by-step explanation:

looks kind of isosceles to me
29 x 2 = 58
180 - 58 = 122
122 + 14 = 136
136 / 8 = 17
x = 17

in your calculator, type in 18.25/6.

Answer: 6 are not enrolled.

Step-by-step explanation:

78 in total so you add 41+22+9 and you get 72 so you do 78-72 and you get 6.

Answer:

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. ... In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.

In which case p-value < 0.05 we can reject H₀ and we can conclude  there is evidence in the data to conclude that the mean value on the website is greater than 26 minutes.

Given:

Mean time spent in Heavenly Chocolate's retail stores has been 26 minutes. and if there is evidence in the data to conclude that the mean value on the website is greater than the mean at the retail store at the 0.05 level of significance.

H₀ : μ = 26

H₁ :  μ = 26

Here, mentioned that there is evidence to support the claim μ = 26

Therefore, in which case p-value < 0.05 we can reject H₀ and we can conclude  μ > 26.

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Incomplete Question:

This Question is about the variable 'Time' which is the number of minutes a customer who ultimately made a purchase spent on the website Suppose for the purposes of this question that historically the population mean time spent in Heavenly Chocolate's retail stores has been 26 minutes. Use the appropriate hypothesis test to determine if there is evidence in the data to conclude that the mean value on the website is greater than the mean at the retail store at the 0.05 level of significance.

To find the selling price after applying a discount of 12% to goods bought for $1200, we can follow these steps:

Step 1: Calculate the discount amount.

Discount Amount = 12% of $1200

Discount Amount = 0.12 * $1200

Discount Amount = $144

Step 2: Subtract the discount amount from the original price to get the selling price.

Selling Price = Original Price - Discount Amount

Selling Price = $1200 - $144

Selling Price = $1056

So, the selling price after applying a discount of 12% to goods bought for $1200 is $1056.

Answer:

-18

Step-by-step explanation:

-3*5=-15

-15-3=-18

Answer: -18

Step-by-step explanation:

Substitute x for -3

5(-3)-3

-15-3

-18

Therefore, when two segments c, d, and a, b, cross at point e to form two triangles, the value of x is 30 cm.

Triangles are shapes with three sides and three vertices, making them polygons. It is one of geometry's fundamental forms. A triangle containing vertices A, B, and C is known as a triangle ABC. In Euclidean geometry, a singular plane and triangle are discovered when the three points are not collinear. A polygon with three sides and three corners is called a triangle. The corners of the triangle are the points where the three sides meet one another end to end. The sum of the angles in a triangle is 180 degrees.

given

From the diagram shown, the following equation is true:

x/75 = 12/30

Cross multiply

30x = 12 * 75

30x = 900

Divide both sides by 30

30x/30 = 900/30

x = 30

Therefore, when two segments c, d, and a, b, cross at point e to form two triangles, the value of x is 30 cm.

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Answer:

12.7 units

Step-by-step explanation:

Formula to get the distance between the two points \((x_1,y_1)\) and \((x_2,y_2)\) is,

d = \(\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)

From the picture attached,

Sherry is at the origin(0, 0) and going to the top (12, 4)

Distance between these points will be,

d = \(\sqrt{(12-0)^2+(4-0)^2}\)

d = \(\sqrt{160}\)

d = \(4\sqrt{10}\)

  ≈ 12.7 units

Therefore, Sherry has to travel 12.7 units on the ramp.

Answer: It should be 470 cm^2

Step-by-step explanation:

The inequality expression (2/3)y - 4 ≥ 2 when evaluated is y ≥ 3

Inequality expressions are those statements in mathematics that use symbols like <, >, ≤, or ≥ to compare two values.

From the question, we have the following inequality expression given as

(2/3)y - 4 ≥ 2

Add 4 to both sides of the inequality

So, we have the following representation

2/3y ≥ 2

Multiply both sides of the inequality expression by 3/2

y ≥ 3

Hence, the solution to the given inequality expression is y ≥ 3

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Answer:

12

Step-by-step explanation:

the angle is defined by equation ((n-2)*180)/n,where n is number of sides of a regular polygon

so here 180n-360=150n

30n=360

n=12

Answer:

B. 9(4+8)

Step-by-step explanation:

Start by simplifying the original expression:

36+72=108

Now, let's try each answer choice:

A. 18(2+3)

Add the numbers in the parentheses:

18(5)=90 --> wrong!

B. 9(4+8)

Add the numbers in the parentheses:

9(12)=108 --> correct!

C. 3(10+24)

Add the numbers in the parentheses:

3(34)=102 --> wrong!

D. 2(19+27)

Add the numbers in the parentheses:

2(46)=92 --> wrong!

Therefore the answer is B. 9(4+8)

Step-by-step explanation:

so, to repeat, the radius r of the circle is 87 cm.

the area of a circle is

pi×r²

so, in our case

A = pi×87² = pi×7569 = 23,778.7148... cm²

so, how to give this answer with only 3 significant figures ?

as you can see, there are already 5 figures before the decimal point.

3 attempts :

1. 3 significant figures after the decimal point : 23778.715 cm²

2. scientific notation with 3 SF : 2.38×10⁴ cm²

3. converting to m² (1m² = 10000cm²) : 2.38 m²

Triangle ΔABC is comparable to triangle ΔABC, which was formed after ABC's dilatation. The appropriate answers are The characteristics of dilations show that angles ∠B =∠ B'.

In Euclidean geometry, an angle is a shape made up of two rays, referred to as the flanks of the hook, that converge at the vertex of both the angle, which is located in the centre. Two rays may combine to form an angle in the plane in which they are positioned. Two planes colliding results in an angle as well. We refer to them as dihedral angles.

Here,

Assuming that A (0, -3), C (0, 5), and B are the triangle's vertices (6, 3)

Set point P to be (0, 0)

There is;

A' = 3/2 * (0,-3) = (0,-9/2) = (0,-4.5) (0,-4.5)

C' = 3/2 * (0,5) = (0, 15/2) = (0,7.5) (0,7.5)

B' = 3/2 * (6,6/3) = (9 , 9/2) = (9,4.5) (9,4.5)

Therefore, on a scale, the image of ABC is bigger than that of the image of A'B'C.

The proportion of the adjacent angles of ABC is given by a factor of 1.5.

since and "A'B'C" are both equal, the angle made by section BC and

BA,

AB/sin(C) = AC/sin(B)

AB/sin(C) = A'C'/A'B' = sin(B)/sin (C)

This means that

sin(B)/sin(C) = sin(B')/sin(C').

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The complete question is "A. Dilate triangle ABC using center p and scale factor 3/2.

B. What do properties of dilations tell you about B'? (please answer B)"

a. There is a negative externality present in the description and cost function.

b. Firm 1 produces 10 units of output (x), while Firm 2 produces 70 units of output (y). The profit for Firm 1 is $190, and the profit for Firm 2 is $1,800.

c. If both firms are merged, the joint output is 80 units (x + y), and the joint profit is $1,990.

d. Yes, the government can apply a tax/subsidy to improve efficiency.

a. The negative externality arises from the cost function of Firm 2, which includes a term (-10x) dependent on Firm 1's output. This indicates a cost imposed on Firm 2 due to Firm 1's production level.

b. To maximize their profits independently, Firm 1 sets its output level (x) where marginal cost equals the competitive price, resulting in x = 10. Firm 2 sets its output level (y) where marginal cost equals the competitive price, considering Firm 1's output level, leading to y = 70. The profit for each firm is calculated using the given cost functions and competitive prices.

c. When the firms are merged into one business, their individual outputs (x and y) are combined, resulting in a joint output of 80 units. The joint profit is the sum of the individual profits obtained by calculating the revenue and costs for the merged business. In this case, the joint profit is $1,990, which is higher than the combined profit of the individual firms.

d. To address the negative externality, the government can impose a per-unit tax on Firm 1's output equal to the external cost imposed on Firm 2. The tax revenue can then be used to subsidize Firm 2's production. This mechanism helps internalize the externality and improve efficiency by aligning private costs with social costs.

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Firm 1 produces output x with a cost function c₁(x) = x² + 10. Firm 2 produces output y with a cost function c2(y, x) = y² - 10x. Both firms face competitive product markets. The competitive price of x is $20 and the competitive price of y is $40.

a. Is there any externality in the description? If yes, positive or negative? Briefly explain.

b. Suppose both firms make independent decisions. How much do they each produce? Profit?

c. What are the output if both firms are merged into one business? How large is the joint profit? Is there any incentive for the shareholders to merge the businesses?

d. Is it possible for a government to apply tax/subsidy (with balanced budget) to improve the efficiency of the two firms when they operate independently? Briefly describe how such a program would work.

Answer:

23/3 or 7 2/3 units ^3

Step-by-step explanation:

The formula for volume is

V = Bh where B is the area of the base and h is the height

V = 23/4 * 4/3

Rewriting

V = 23/3 *4/4

V = 23/3 units ^3

or if they want a mixed number

V = 7 2/3 units ^3

The number of customers waiting in line at the bank over a 24-hour period is a discrete variable type.

A variable whose value is determined by counting is referred to as a discrete variable. examples: the number of pupils in attendance. how many red marbles are in the container. when triple coins are turned, the count of heads. The number of pupils, kids, the shoe size, and so forth are some typical examples of discrete data. A statistical variable is referred to as a discrete variable if it presupposes a finite collection of data and a countable number of values. Contrarily, a continuous variable is a quantitative variable that accepts an endless quantity of data and an uncountable number of values.

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Answer:

A=59 because it is opposite of E

B= 39 because 180-141=39

C=82 because 180-39-59=82

Answer:

Step-by-step explanation:

The expected value represents the losing amount per game equals to $0.55.

Number of dice rolled = 2

To win $5.00 ,

Roll  2,3,4,10,11 or a 12

To lose $5.00 ,

Roll  5,6,7,8 or 9

Probability of winning or losing on a single roll of 2 dice.

There are 36 possible outcomes when rolling 2 dice.

Since each die has 6 possible outcomes.

Out of these 36 possible outcomes.

There are 6 ways to roll a 7 which is a loss.

And 10 ways to roll a 6 or an 8 also a loss.

Total of 16 losing outcomes.

Similarly, there are 5 ways to roll a 2 or a 12 which is a win.

4 ways to roll a 3 or an 11 also a win.

and 3 ways to roll a 4 or a 10 another win.

Total of 12 winning outcomes.

The probability of winning is 12/36 = 1/3

                                                          =  0.3333 approximately.

The probability of losing is 16/36 = 4/9

                                                        = 0.4444 approximately

The amount of money you can expect to win or lose on a single game,

If you win, you receive $5.00.

If you lose, you lose $5.00.

The expected value you win or lose per game is

Expected value

= (Probability of winning x Amount won) - (Probability of losing x Amount lost)

⇒ Expected value = (1/3 x $5.00) - (4/9 x $5.00)

⇒ Expected value = ($1.67) - ($2.22)

⇒ Expected value = -$0.55

Therefore, on average expected value to lose $0.55 per game.

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The dilation of the rectangle is an enlargement by a factor of 1.5. Then the correct option is A.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

In a rectangle, the opposite sides of the rectangle are parallel and equal to each other. And each angle is 90 degrees.

A rectangle shape pre-picture has a length of 4 and a width of 2. A rectangle shape picture has a length of 4 (1.5) and a width of 2 (1.5).

If the scale factor is greater than 1.5. Then the dilation is an enlargement.

The dilation of the rectangle is an enlargement by a factor of 1.5. Then the correct option is A.

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Answer:

The dilation is an enlargement.

Step-by-step explanation: