Graph shows two triangles plotted on a coordinate plane. One triangle is at A (minus 4, 4), B (minus 8, 2), and C (minus 6, minus 6). Another triangle is at A prime (4, minus 2), B prime (2, 2), and C prime (6, 0). A sequence of transformations maps ∆ABC to ∆A′B′C′. The sequence of transformations that maps ∆ABC onto ∆A′B′C′ is a followed by a .

Answers

Answer 1

The sequence of transformations that maps triangle ABC onto triangle A'B'C' is a translation by (+8, -6) followed by a reflection across the y-axis.

To determine the sequence of transformations that maps triangle ABC onto triangle A'B'C', let's analyze the given coordinate points.

Triangle ABC:

A (-4, 4)

B (-8, 2)

C (-6, -6)

Triangle A'B'C':

A' (4, -2)

B' (2, 2)

C' (6, 0)

By comparing the corresponding vertices, we can identify the transformations:

Translation:

To transform A to A', we can observe that A' is obtained by moving 8 units to the right and 6 units downwards from A. Therefore, the first transformation is a translation by (+8, -6).

Reflection:

Next, we notice that B' is the reflection of B across the y-axis. Thus, the second transformation is a reflection about the y-axis.

Therefore, the sequence of transformations that maps triangle ABC onto triangle A'B'C' is a translation by (+8, -6) followed by a reflection across the y-axis.

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Related Questions

80% of the sixth graders have lunch during fourth period if 120 sixth graders had lunch fourth periods how many total six graders are there?

Answers

Answer: there is a total of 150 sixth graders

explanation :

0.8x = 120

120 / 0.8 = 150

6th graders at lunch =  150

Adjusted Trial Balance from Buildex Company

Answers

The preparation of the income statement of Buildex Company's adjusted trial balance is as follows:

Buildex Company

Income Statement

Services revenue           $70,500

Interest revenue                 5,700

Total revenue                $76,200

Expenses:

Depreciation expense   $4,700

Wages expense            52,000

Insurance expense         4,400

Supplies expense           2,700

Utilities expense              1,700

Total expenses          $65,500

Net income                 $10,700

What is the income statement?

The income statement is a financial statement that shows the financial performance of a business over a period.

In the income statement, the total expenses are deducted from the total revenue to compute the profit or loss.

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Question Completion:

Use the following selected accounts and amounts with normal balances from Buildex Company's adjusted trial balance to prepare its income statement for the year ending December 31. Hint: Not all accounts need to be used.

Cash                        $10,400           Depreciation expense $4,700

Building                   185,000           Wages expense          52,000

Accounts payable      9,400           Insurance expense        4,400

Services revenue    70,500           Supplies expense          2,700

Interest revenue        5,700           Utilities expense             1,700

100 Points! Geometry question. Photo attached. Find the area of the figure. Round to the nearest tenth if necessary. Please show as much work as possible. Thank you!

Answers

Answer:

  150 m²

Step-by-step explanation:

You want the total area of a figure consisting of a 12 m wide rectangle 5 m high with a triangle above that bringing the total height to 20 m.

Rectangle area

The area of the rectangle is the product of its length and width:

  A = LW

  A = (12 m)(5 m) = 60 m²

Triangle area

The area of the triangle is half the product of its base and height.

  A = 1/2bh

  A = 12/(12 m)(20 -5 m) = 90 m²

Total area

The area of the whole figure is the sum of the areas of its parts:

  total area = rectangle area + triangle area

  total area = 60 m² +90 m² = 150 m²

The area of the figure is 150 m².

__

Additional comment

Since you know a triangle's area is equivalent to the area of a rectangle that has half the height, the 15 m high triangle can be considered as a rectangle 7.5 m high. Adding that to the 5 m area of the rectangle already there gives the equivalent area as that of a rectangle 12 m wide and 5+7.5 = 12.5 m high: (12 m)(12.5 m) = 150 m².

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Can anyone help me with this question?​

Answers

Answer:

-7/4

Step-by-step explanation:

we can see that every time the value of x increases by 4, the value of y decreases by 7.

let's pick two sets of coordinates (first two will be fine).

that is (-4, 6) and (0, -1)

Slope = (change in y values) / (change in x values)

= (-1 - 6) / (0 - -4)

= -7 / (0 + 4)

= -7/4.

so our slope (gradient) is -7/4

Original price of a chair $150 Discount : 15% what is the selling price

Answers

To calculate the selling price after a discount, you need to subtract the discount amount from the original price.

Discount amount = Original price * Discount percentage

Discount amount = $150 * 0.15 = $22.50

Selling price = Original price - Discount amount

Selling price = $150 - $22.50 = $127.50

Therefore, the selling price of the chair after a 15% discount would be $127.50.

Answer: $127.50

Step-by-step explanation: if we pull up our handy dandy calculator and do 15% of 150 it will output 22.50, 150 - 22 = 127.50 which brings the total to $127.50

Find the values of x and y with the answers in simplest radical form

Answers

The values of x and y in simplest radical form are :

5) x = 3 and y = 3√3

6) x = 5√3 and y = 10√3

7) x = 21 and y = 14√3

Given are three right angled triangles, whose angles are 30° - 60° - 90°.

The measures of sides for a 30° - 60° - 90° triangle is in the ratio 1 :√3 :2.

That is if length of the shorter leg which is the side opposite to 30° is k, then the length of the longer leg, which is the side opposite 60° will be √3k and the length of the hypotenuse, which is the side opposite to 90° will be 2k.

5) Using the above fact, here,

2k = 6

⇒ k = 6/2 = 3

So, x = 3 and y = 3√3

6) √3 k = 15

k = 15 /√3 = 5√3

So, x = 5√3 and y = 2 × 5√3 = 10√3

7) k = 7√3

So, x = √3 × 7√3 = 21

y = 2 × 7√3 = 14√3

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Which expressions are less than 7/8? Choose2 answers 7/8 x 9/19 7/8 x 3/4 7/8 x 9/9 7/8 x 4/3 ​

Answers

The two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

To determine which expressions are less than 7/8, we can compare them individually to 7/8 and evaluate their values.

Let's consider each expression one by one:

7/8 x 9/19:

To compare this expression to 7/8, we multiply the fractions:

(7/8) x (9/19) = 63/152.

Since 63/152 is less than 7/8, this expression is less than 7/8.

7/8 x 3/4:

Multiplying the fractions:

(7/8) x (3/4) = 21/32.

Since 21/32 is less than 7/8, this expression is less than 7/8.

7/8 x 9/9:

The fraction 9/9 simplifies to 1, so the expression becomes:

(7/8) x 1 = 7/8.

Since 7/8 is equal to 7/8 (not less than), this expression is not less than 7/8.

7/8 x 4/3:

Multiplying the fractions:

(7/8) x (4/3) = 28/24.

We can simplify 28/24 to 7/6.

Since 7/6 is greater than 7/8, this expression is not less than 7/8.

Therefore, the two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

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7.5, 8.5, 14.5 are these can form a triangle?

Answers

No, the sides with lengths 7.5, 8.5, and 14.5 cannot form a triangle.

To form a triangle considering three lengths of sides, the sum of the lengths of any two sides must be greater than the length of the third side.

Checking the above condition

1. The sum of 7.5,8.5 is 16, which is greater than 14.5. So, the condition is satisfied.

2. The sum of 7.5, 14.5 is 22, which is greater than 8.5. So, the condition is satisfied.

3.  The sum of 8.5 and 14.5 is 23, which is less than 7.5. The condition is not satisfied.

Since the sum of the two shorter sides 8.5 and 14.5 is not greater than the longest side 7.5 these three sides with given lengths cannot form a triangle.

Therefore, the sides with lengths 7.5, 8.5, and 14.5 cannot form a triangle.

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Phil spends no more than 12 hours per week knitting. It takes him 2 hours to knit a hat and
3 hours to knit a scarf. He uses 150 yards of yarn for each hat and 400 yards of yarn for each
scarf. Which combinations of complete hats and scarves can Phil knit if he has 900 yards of yarn?
Select all of the correct answers.
A. 1 hat, 1 scarf
B. 3 hats, 2 scarves
C. 6 hats, 0 scarves
D. 4 hats, 1 scarf
E. 0 hats, 4 scarves
F. 2 hats, 1 scarf

Answers

The correct options regarding the inequality are:

A. 1 hat, 1 scarf

D. 4 hats, 1 scarf

F. 2 hats, 1 scarf

How to explain the inequality

Based on the time constraint, Phil can spend a maximum of 12 hours knitting, so we can set up the following inequality:

2h + 3s ≤ 12,

Phil can knit at most 6 hats per week, because 6 hats * 2 hours/hat = 12 hours.

Phil can knit at most 4 scarves per week, because 4 scarves * 3 hours/scarf = 12 hours.

Phil can use at most 900 yards of yarn, because he has 900 yards of yarn.

Phil can knit 1 hat and 1 scarf, because 1 hat * 150 yards/hat + 1 scarf * 400 yards/scarf = 550 yards < 900 yards.

Phil can knit 4 hats and 1 scarf, because 4 hats * 150 yards/hat + 1 scarf * 400 yards/scarf = 900 yards.

Phil can knit 2 hats and 1 scarf, because 2 hats * 150 yards/hat + 1 scarf * 400 yards/scarf = 700 yards < 900 yards.

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Over a period of one year, a retailer sells widgets at 11
different prices. He Calculates the average number of oiunds sold per day at each different price. From theese data, the following are calculated.

Answers

The regression equation is: y = -0.0068824x + 36.8881

So, the correct option is:

D) None of these.

To compute the regression equation based on the given data, we can use the formulas for slope (b1) and y-intercept (bo):

b1 = (NΣXY - ΣXΣY) / [tex](N\sum X^2 - (\sum X)^2)[/tex]

bo = (ΣY - b1ΣX) / N

Where:

N = Number of data points (in this case, 11)

ΣX = Sum of all X values (prices)

ΣY = Sum of all Y values (average number of pounds sold per day)

ΣXY = Sum of the product of X and Y values

[tex]\sum X^2[/tex] = Sum of the squares of X values

Using the provided data:

Ex = 210

Xy = 450

Zcy = 10387

Zz = 7275

Xy = 42471

Let's calculate the required values:

N = 11

ΣX = Ex + Zcy + Zz = 210 + 10387 + 7275 = 17872

ΣY = Xy = 450

ΣXY = Xy = 450

[tex]\sum X^2 = (Ex)^2 + (Zcy)^2 + (Zz)^2 = (210)^2 + (10387)^2 + (7275)^2 = 239208144[/tex]

Now, substitute these values into the formulas to find b1 and bo:

[tex]b1 = (11 \times450 - 17872 \times 450) / (11 \times239208144 - (17872)^2)[/tex]

= -14112250 / 2050445128

≈ -0.0068824

bo = (450 - (-0.0068824 [tex]\times[/tex] 17872)) / 11

= (450 + 122.7790368) / 11

≈ 36.8881

Therefore, the regression equation is:

y = -0.0068824x + 36.8881

So, the correct option is:

D) None of these.

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The complete question may be like:

Over a period of one year, retailer sells widgets at 11 different prices. He Calculates the average number of oiunds sold per day at each different price. From theese data, the following are calculated. Ex = 210, Xy = 450, Zcy = 10387, Zz? 7275 Xy? 42471 Compute the regression equation , SELEC A) y 0.20261x + 0.549951 B) y = 0.549951x + 30.410021 C) y = 0.20261. + 30.410021 D) none of these =b1x + bo.

In a laboratory experiment, the population of bacteria in a petri dish started off at
4900 and is growing exponentially at 8% per hour. Write a function to represent the
population of bacteria after t hours, where the rate of change per minute can be
found from a constant in the function. Round all coefficients in the function to four
decimal places. Also, determine the percentage rate of change per minute, to the
nearest hundredth of a percent.

Answers

1. The function representing the population of bacteria after t minutes is P(t) = 4900× [tex]e^{(0.08(t/60)}[/tex]

2. The percentage rate of change per minute is approximately 0.13%.

How did we find the function and percentage rate?

The general form of an exponential growth function P(t) = P0 ×[tex]e^{(rt)}[/tex]

P(t) is the population at time t,

P0 is the initial population,⇒4900

r is the growth rate  ⇒ 8%

t is the time.

Therefore, our function in terms of hours (t) becomes:

P(t) = 4900 × [tex]e^{(0.08t)}[/tex]

To find per minute, there are 60 minutes in an hour,

∴ t becomes  t/60

P(t) = 4900× [tex]e^{(0.08(t/60))}[/tex]

We know the rate of change per hour is 8%, so the rate of change per minute will be 8% divided by 60, which is

[tex]e^{(0.08/60)-1}[/tex] × 100 = 0.13%.

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50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

The distance between the side AB are 314.2 ft.

In a triangle ABC AC = 200 ft, m ∠A = 72°, and m ∠B = 37°. we need to find the measure of the side AB,

So,

Using sine law.

Sin A / CB = Sin B / AC = Sin C / AB

Using the angle sum property of a triangle we find the value of angle C,

∠C = 180° - (∠A + ∠B)

∠C = 180° - (72° + 37°)

∠C = 180° - 109°

∠C = 71°

So,

Sin 37° / 200 = Sin 71° / AB

AB = 200 / Sin 37° × Sin 71°

AB = 314.2 ft

Hence the distance between the side AB are 314.2 ft.

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A 27 - foot ladder is leaning against the wall. If the top of the ladder touches 22.5 feet up the wall, what is the angle evaluation of the ladder

Answers

Answer:

Step-by-step explanation:

please help fast !!!

Answers

The coordinate of vertices of DEF are;

D = ( -4, -3)

E = ( -7, 4)

F =( -7, -3)

Here, we have,

Reflection in the y-axis: The reflection of point (x, y) across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse  (x,y)→( -x,y) .

First, triangle ABC is reflected across the y axes.

So, we have:

(x,y)→( -x,y)

then, translated down 5 units.

so, transformation rule on ABC, we have:

(x,y)→( -x , y - 5)

so, the coordinate of vertices of DEF are;

D = ( - 4, 2 - 5) = ( -4, -3)

E = ( -7, 9 - 5) = ( -7, 4)

F = (-7 , 2 - 5) = ( -7, -3)

Hence, the coordinate of vertices of DEF are;

D = ( -4, -3)

E = ( -7, 4)

F =( -7, -3)

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By definition, theoretical probability is equal to:

A. No. of favorable outcomes/ total no. of possible outcomes ✅️
B. No. of total outcomes/ total no. of impossible outcomes
C. No. of possible outcomes/ total no. of favorable outcomes
D. No. of total outcomes/ total no. of possible outcomes

Answers

Theoretical probability is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes, making option A the correct answer.

The correct answer is A. Theoretical probability is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes. It represents the likelihood of an event occurring based on mathematical calculations and assumptions.

To provide a detailed explanation, let's break down the components of the definition:

Favorable outcomes: These are the outcomes that meet the desired criteria or event you are interested in. For example, if you are rolling a fair six-sided die and you want to find the probability of rolling a 3, the favorable outcome would be a single outcome where the die shows a 3.

Total number of possible outcomes: This refers to the complete set of all possible outcomes in the given situation. In the case of the fair six-sided die, there are six possible outcomes (numbers 1 to 6) since each face of the die represents a different number.

Theoretical probability is then calculated by dividing the number of favorable outcomes by the total number of possible outcomes. This ratio provides an estimate of the probability of the event occurring under ideal, theoretical conditions. It assumes that each outcome is equally likely to occur.

It's worth noting that theoretical probability is based on mathematical calculations and assumptions, and it may not always reflect the actual probability observed in real-world scenarios. However, it serves as a foundation for understanding and analyzing probabilities in various contexts, such as in mathematics, statistics, and decision-making processes.

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The frequency table shows the results of a survey about favorite exhibits. Find the relative frequency that a randomly selected student's favourite exhibit was either dinosaurs, or planets, express your answer as a decimal.


Butterfly: 12

Dinosaurs: 25

Planets: 17

Trains: 6

Answers

The relative frequency that a randomly selected student's favorite exhibit was either dinosaurs, or planets is 0.7.

How do we find the relative frequency?

To find the relative frequency, we will divide the number of students who chose dinosaurs or planets by the total number of students surveyed.

The total number of students surveyed is 12 + 25 + 17 + 6 = 60.

The number of students who chose dinosaurs or planets is 25 + 17 = 42.

Therefore, the relative frequency will then be 42 / 60 = 0.7.

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Recta de pendiente 1⁄4 que pasa por (3,0).

Answers

The equation of the line with a slope of 1/4 that passes through the point (3,0) is y = 1/4x - 3/4.

To find the equation of a line with a slope of 1/4 that passes through the point (3,0), we can use the point-slope form of the equation of a line.

The point-slope form of a line is:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope.

Substituting the values into the formula, we have:

y - 0 = 1/4(x - 3)

Simplifying:

y = 1/4(x - 3)

Distributing 1/4 throughout the expression:

y = 1/4x - 3/4

Therefore, the equation of the line with a slope of 1/4 that passes through the point (3,0) is y = 1/4x - 3/4.

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Rank the circles from largest area to the smallest area Circle a has the diameter of 8 cm circle b has a radiusof 5 cm circle C has an area of 20 pi centimeters

Answers

Circle B, Circle C, Circle A

A has an area of 16 pi because you square the radius which is half of the diameter

B has an area of 25 pi because squaring the radius

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

We need to plug in the numbers: h = 2 x 136.5/6+15

Next, we add the two bases to get 21: 6+15=21 (h=2 x 136.5)

Then, divide the total of the two bases (21) from the area to get 6.5: 136.5/21-6.5

Finally we multiply 2 by 6.5: 2 x 6.5= 13
The height if this trapezoid is 13.

Answer:

13cm

Step-by-step explanation:

The area of a trapezoid is given by the formula:

Area = ½*(b1+b2)*h

where:

b1 and b2 are the lengths of the bases of the trapezoid h is the height of the trapezoid

In this problem, we are given that b1 = 6 cm, b2 = 15 cm, and Area = 136.5 square centimeters.

Plugging these values into the formula, we get:

136.5 = ½*(6 + 15)*h

Solving for h, we get:

136.5=10.5h

h = 136.5/10.5=13centimeters

Therefore, the height of the trapezoid is 13 centimeters.

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

The angle ABC in the circle is 70 degrees.

How to find the angle in a circle?

The intercepted arc is the arc that is inside the inscribed angle and whose

endpoints are on the angle. The arc angle is half the the inscribed angle.

The intercepted arc that is formed is equal to the inscribed angle,

multiplied by two (intercepted arc measure = inscribed angle × 2).

Therefore, let's find the arc angle ABC as follows:

∠ ABC = 1  /2 (360 - 120 - 100)

∠ ABC = 1  /2 (360 - 220)

∠ ABC = 1  /2 (140)

Therefore,

∠ ABC = 70 degrees

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A presidential candidate plans to begin her campaign by visiting the capitals and three of 43 states. What is the probability that she selects the route of three specific capitals

Answers

The probability that she selects the route of three specific capitals is 3/43

What is the probability that she selects the route of three specific capitals

From the question, we have the following parameters that can be used in our computation:

States = 43

Capitals = 3

The probability is then calculated as

P = Capitals/States

substitute the known values in the above equation, so, we have the following representation

P = 3/43

Hence, the probability is 3/43

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Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "x" or "y" to describe the unknowns.


8 divided by the sum of a number and 4

Answers

Answer:

Step-by-step explanation: you are sped that is the answer black n

i need the whole problem done and i don’t understand, i need a step by step to show my work. its at 12. PLS HELP

Answers

The surface area of given triangular prism = 24 ft².

For the given triangular prism

Base = 2 ft

height = 3 ft

side = 3ft

We know that,

Surface area of triangular prism

= side x base + 3x base x height

=  3 x 2  + 3x2x3

= 6 + 18

= 24 ft²

Thus,

Surface area = 24 ft²

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Use table values to graph the Quadratic function.

y = x^2 - 2x + 4

Answers

X. Y
-1. 7
0. 4
1. 3
2. 4
3. 7

solve each equation 1/3a= -15

Answers

The solution to the equation 1/3a = -15 is a = -45

How to determine the solution to the equation

from the question, we have the following parameters that can be used in our computation:

1/3a = -15

Multiply 3 to both sides of the equation

so, we have the following representation

3 * 1/3a = -15 * 3

When the products are evalated, we have

a = -45

Hence, the solution to the equation is a = -45

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hat amount did she get back? (h) Ujeli had 11 pencils. She kept 3 pencils for herself and divided the remaining pencil equal among 4 of her friends. How many pencils did she give to each of them? ​

Answers

Answer:

2

Step-by-step explanation:

Ujeli had 11 pencils and she kept 3 so 11-3 = 8

so that means that the remaining pencil were dived by 4 (8÷2) = 2

Here is the histogram of a data distribution.
5
4
لیا
3-
2-
1 2 3 4 5 6 7 8 9 10
What is the shape of this distribution?
OA. Unimodal skewed left
B. Uniform
OC. Unimodal symmetric
D. Unimodal skewed right
E. Bimodal
W

Answers

The given histogram is bimodal, which is the last option/ option E, as bimodal distribution means that the data set has two distinct peaks or modes. In a bimodal histogram, the bars are grouped in a way that shows two prominent peaks or modes in the data.

Each bar in the histogram represents a specific range of values, and the height of the bar indicates the frequency or count of data points falling within that range. In a bimodal histogram, there will be two relatively high bars that correspond to the two modes of the data. The bimodal histogram is useful for visualizing and analyzing data sets that exhibit two distinct groups or clusters. It provides a clear visual representation of the two modes and their frequencies, which can help in identifying patterns and understanding the underlying characteristics of the data.

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Hello, someone help me with this integral, it gets complicated when they are like this, please help, I need it to pass: c
.....dx
∫ --------
...1−25x²

Answers

Answer:

∫(1 - 25x²) dx

Step-by-step explanation:

NEED HELP ASAP WILL GIVE BRAINLIEST HELP!

Answers

Answer:

The correct answer is 2.

Serena is making a model of one of the Egyptian pyramids. The square base has sides that are all 4.4 in. Each of the triangular faces has a base of 4.4 in and a height of 3.8 in. How much paper would it take to cover the entire pyramid?

Answers

52.8 square inches of paper to cover the entire Pyramid.

The amount of paper needed to cover the entire pyramid, we need to determine the total surface area of the pyramid.

The pyramid consists of a square base and four triangular faces.

1. Base Surface Area:

The surface area of the square base can be calculated by finding the area of a square with sides measuring 4.4 inches. The formula for the area of a square is side length squared:

Base Surface Area = (4.4 in)² = 19.36 in²

2. Triangular Faces Surface Area:

Each triangular face of the pyramid has a base of 4.4 inches and a height of 3.8 inches. The formula for the area of a triangle is 1/2 times the base times the height:

Triangular Face Surface Area = 1/2 * (4.4 in) * (3.8 in) = 8.36 in²

Since the pyramid has four triangular faces, the total surface area of the triangular faces is:

Total Triangular Faces Surface Area = 4 * (8.36 in²) = 33.44 in²

3. Total Surface Area:

To calculate the total surface area of the pyramid, we add the base surface area to the total triangular faces surface area:

Total Surface Area = Base Surface Area + Total Triangular Faces Surface Area

                         = 19.36 in² + 33.44 in²

                         = 52.8 in²

Therefore, it would take approximately 52.8 square inches of paper to cover the entire pyramid.

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Which one of the following is a variable cost for a call centre? Select one: O A. Computer equipment OB. Telephone charges oc. Office manager's salary OD, Office rent using the formula in the text, if the lowest acceptable transfer price from the viewpoint of the selling division is $101 and the opportunity cost per unit on outside sales is $40, then the variable cost per unit must be: multiple choice $101 per unit $40 per unit $61 per unit $141 per unit Find the indicated limit. Note that l'Hpital's rule does not apply to every problem, and some problems will require more than one application of l'Hpital's rule. Use - or co when appropriate. x2 - 75x+250 lim x3 - 15x2 + 75x - 125 x+5* . Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. x3 - 75x+250 lim x2 - 15x2 + 75x - 125 (Type an exact answer in simplified form.) O B. The limit does not exist. x-5 The volume of the milk produced in a single milking session by a certain breed of cow isNormally distributed with mean 2.3 gallons with a standard deviation of 0.96 gallons.Part A Calculate the probability that a randomly selected cow produces between 2.0gallons and 2.5 gallons in a single milking session. (4 points)Part B A small dairy farm has 20 of these types of cows. Calculate the probability that the total volume for one milking session for these 20 cows exceeds 50 gallons. (8 points)Part C Did you need to know that the population distribution of milk volumes permilking session was Normal in order to complete Parts A or B? Justify your answer. Solve the differential equation (x^2+4)y'+3xy=6x using anintegrating factor. problem :- - T 2 1 TIP3 P32 3 > T(f) = f' By -z , x, x3} 2 Bw = 1 n, x 2 } Find matrixe representation of line as Iransformation ? > 3 there are two misshapen coins in a box; the probabilities they land heads when flipped are 0.4 and 0.7. one of the coins is to be randomly chosen and flipped 10 times. given that exactly two of the first three flips landed heads, what is the conditional expected number of heads in the 10 flips? The Greek letter associated with resistance is A.alpha B.betaC.omegaD.gamma Question 2 Find the area of the triangle with vertices V=(3,4,5), U=(-3,4,-4) and W=(2,5,4). O A. 90 2 OB. 117 2 O C. 45 Area = 2 O D. No correct Answer E. 126 Area = 2 Area = Area =Q Fraction 1: the quantity x plus 1 over the quantity x squared minus 25; Fraction 2: the quantity x plus 5 over the quantity x squared plus 8 times x plus 7; Find Fraction 1 times by Fraction 2. given a set of n 1 positive integers none of which sxceed 2n show that there is at lerast one integer in the set that divides another integers dr. matthews will be cementing four stainless steel crowns on four primary molars of a 10-year-old patient. he has indicated that duralon will be the cement of choice. a college administrator is trying to assess whether an admissions test accurately predicts how well applicants will perform at his school. the administrator is most obviously concerned that the test is group of answer choices standardized. valid. reliable. normally distributed. Verify Stokes's Theorem by evaluating A. F. dr as a line integral and as a double integral. a F(x, y, z) = (-y + z)i + (x z)j + (x - y)k S: z = 25 x2 - y2, 220 line integral double integral Political scientists call voters choices that focus on future behavior___, while those based on past performances are called___. a:partisian voting:issue voting b:issue voting:prospective voting c:retrospective voting:prospective voting d:issue voting:partisian votinge:prospective voting:retrospective voting during an expansion how do inflation and unemployment typically change variables affect the mixture of products formed when gasoline is burned Express (-1+ iv3) and (-1 iV3) in the exponential form to show that: [5] 2nnt (-1+ iv3)n +(-1 iV3)= 2n+1cos 3 A cash budget for the six months ended 30th June 2020 shows an expected overdraft of 4,500. Which of the following would not reduce the overdraft? Which of the following is true regarding actions that may be taken while an automatic stay is in effect in a Chapter 7 proceeding?A. Creditors can attempt to repossess property.B. A creditor who received a judgment against the debtor prior to the bankruptcy filing may act to enforce the judgment.C. Legal actions to collect child support payments are not subject to the automatic stay.D. Legal actions to determine paternity are subject to the automatic stay.E. Legal actions to determine alimony payments are subject to the automatic stay. Steam Workshop Downloader