2. A triangular pyramid begins with these coordinates:
P(–1, 2, 0)
Y(2, 3, 0)
R(–3, 4, 0)
A(–2, 1, 5)
The pyramid is then reflected over the yz-plane. The reflected image is then translated using the following rule: (x, y, z)  (x + 2, y + 4, z – 3). Determine the coordinates of that final image, following these steps:
1. Write the general rule you use for the reflection. (4 points)

2. What would be the new points of the shape after this reflection? (4 points)

3. Now, use the points from number 2 and apply the translation rule. Show the results of your calculations for that translation. (4 points)

Answers

Answer 1

1. The yz-plane is the plane x = 0.
So, The general rule of reflection over the yz- plane is (x,y,z) →(−x,y,z)

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

2. Applying the rule found in (1)

the new points of the shape after this reflection will be

P(–1, 2, 0) ⇒⇒⇒ P'(1, 2, 0)
Y(2, 3, 0) ⇒⇒⇒ Y'(-2, 3, 0)
R(–3, 4, 0) ⇒⇒⇒ R'(3, 4, 0)
A(–2, 1, 5) ⇒⇒⇒ A'(2, 1, 5)
=============================================

3. Applying the transformation rule (x, y, z) → (x + 2, y + 4, z – 3)

to the points from number 2

P'(1, 2, 0) ⇒⇒⇒ P" (3 , 6 , -3 )
Y'(-2, 3, 0) ⇒⇒⇒ Y" (0 , 7 , -3)
R'(3, 4, 0) ⇒⇒⇒ R" ( 5 , 8 , -3)
A'(2, 1, 5) ⇒⇒⇒ A" ( 4 , 5 , 2)

Related Questions

Which statement best describes the effect of replacing the function f(x)=2^x-2 with the function g(x)=2^x+3

A.) The graph shifts 1 unit up

B.) The graph shifts 5 units left

C.) The graph shifts 1 unit right

D.) The graph shifts 3 units right

Answers

For this case we have the following functions:
f (x) = 2 ^ (x-2)
g (x) = 2 ^ (x + 3)
Horizontal translations
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
f (x + 5) = 2 ^ ((x + 5) -2)
g (x) = 2 ^ (x + 3)
Answer:
B.) The graph shifts 5 units left

A translation is applied to the triangle formed by the points A(−1, 4) , B(−1, 10) , and C(3, 6) . The image is the triangle that has vertices A′(3, 4) , B′(3, 10) , and C′(7, 6) . Select the phrase from the drop-down menu to correctly describe the translation. The triangle was translated .

Answers

X(A')=X(A)+4= -1+4=3
X(B')=X(B)+4= -1+4=3
X(C')=X(C)+4= 3+4=7
4 points to the right

4 units to the right is the correct answer. I even provided proof from my own test. Hope this helps!

Eva spent $48 on a shirt and a pair of pants. The pant cost twice as much as the shirt. How much did each item cost?

Answers

Divide 48 by 3 to get the price of the shirt, the take what’s left and that is the pants. $16 shirt, $32 pants

The shirt cost $16 and the pants cost $32.

A grocery store has three locations: Central, North, and South. The grocery store counted the number of cantaloupes sold at each of the three locations each day for a month. The table shows the mean and the mean absolute deviation of the number of cantaloupes sold each day. Which statements are correct? Select each correct answer.
The number of cantaloupes sold at North and South varied about the same amount.
The number of cantaloupes sold at Central varied less than did the number sold at North.
The number of cantaloupes sold at Central and South varied about the same amount.
The number of cantaloupes sold at Central varied more than did the number sold at South.
Store location Mean number of sales MAD Central 45 4.1 North 47 5.7 South 29 5.9

Answers

The correct option is The number of cantaloupes sold at Central varied less than did the number sold at North.

What is the mean absolute deviation?

The means absolute deviation is the average distance of each of the data points about the mean.

The below-given table shows the data of the three different stores.

Store location Mean number of sales MAD

Central 45 4.1

North 47 5.7

South 29 5.9

As we know that the mean absolute deviation shows as the average of the difference in the mean data that can occur. Therefore, it shows us the amount by which the data can deviate from its mean.

Now, if we look at the option, the only option that is correct about the given data is "The number of cantaloupes sold at Central varied less than did the number sold at North".

The statement holds true because the Mean absolute deviation for the store in the center is least, therefore, it varies the least from all the given options.

Hence, the correct option is The number of cantaloupes sold at Central varied less than did the number sold at North.

Learn more about Mean Absolute Deviation:

https://brainly.com/question/10258446

How much times does 30 go into 870

Answers

30 goes into 870 [tex]\frac{870}{30}=\boxed{29}[/tex] times.

It goes in 29 times.

Which of the following rules could represent the function shown in the table?
x y
-1 -1
0 1
1 3

A) f(x) = -2x
B) f(x) = 2x - 1
C) f(x) = 2x + 1

Answers

Not sure but I think 3

I believe its c because if u really sit back and work out the problem

Susan gets paid x dollars per hour. After 40 hours she gets paid time and a half (1.5 times her normal hourly pay). Last month she worked 52 hours each week and earned $696 each week. How much does Susan get paid per hour?

Answers

She gets paid $12 per hour.

Let x be the amount she gets paid per hour. Working 40 hours would then be represented by 40x.

Anything over 40 hours earns her 1.5 her normal rate, or 1.5x. Since she works 52 hours, this means 52-40=12 hours of overtime at 1.5x:
12(1.5x) = 18x

Together, she earned 696:
40x+18x = 696

Combining like terms,
58x = 696

Divide both sides by 58:
58x/58 = 696/58
x = 12

if y -18 =14 what is the value of 3(Y + 5)

Answers

y-18=14
add 18 on both sides
y=32
plug that into the equation below
3(Y+5)
3(32+5)
add 32 and 5
3(37)
multiply
3
[tex]3 \times 37 = 111[/tex]
there u go dude! :) if you could Mark as brainliest answer that would help me soooo much dude thxx

Answer:

y-18=14

add 18 on both sides

y=32

plug that into the equation below

3(Y+5)

3(32+5)

add 32 and 5

3(37)

multiply

3 \times 37 = 1113×37=111

there u go dude! :) if you could Mark as brainliest answer that would help me soooo much dude thxx

How can a lack of understanding of the measures of central tendency and variability affect business decisions

Answers

The measure of central tendency give you a picture of what to expect in a situation. For example, a basketball players average is the amount of points that they typical score.

In a business, you make decisions on what you expect to happen. Knowing the measure of center can help you make better decisions.

Answer:The measure of central tendency give you a picture of what to expect in a situation. My example: a basketball players "average" is the number of points that they usually score. In a business you make decisions on what you expect to happen. If you know the measure of center it can help you make better decisions.

I got 100 on this

what is the measure of the angles

Answers

they are vertical angles and would be the same so set them to equal each other and solve:

3x-4 = 2x+9

add 4 to both sides:

3x = 2x +13

subtract 2x from each side:

x = 13

now replace x with 13 in the original equations:

3x-4 = 3(13) -4 = 39-4 = 35
2x+9 = 2(13)+9 = 26+9 = 35

the angles = 35 degrees

2x+9=3x-4
9=3x-2x-4
9=x-4
9+4=x
13=x
13(2)-4
26+9
35 is the answer

simplify this rational

Answers

Answer:

n+5

Step-by-step explanation:

(n+5)(n+1)/(n+1)

cancel n+1 from top and bottom

Which function goes with this graph?

Answers

From the given points on the graph we can find which function represents this graph.

A point on the graph is (3, 1). This means if we substitute x = 3 the answer must be 1.

The property of log is that [tex] log_{a}(a)=1[/tex]

This suggests, if the base of log is equal to the number for which we are finding the log, the answer must be 1.

So, in this case we have:

[tex]log_{a}(3)=1 [/tex]

Since the answer is 1, the base of log must be 3.

In the given options, only option 3rd is with base 3.

So, the correct answer is option 3.

A population of bacteria is growing according to the exponential model P = Cekt, where P is the number of colonies and t is measured in hours. If there are 800 colonies present after 4 hours, and the population's growth rate k = 0.65, how many colonies were present initially? [Round answer to the nearest hundredth.]

Answers

Plugging our values into the equation, we have

[tex]800=Ce^{0.65(4)} \\ \\800=Ce^{2.6} \\\text{Dividing both sides by }e^{2.6} \\ \\\frac{800}{e^{2.6}}=C \\ \\59.42=C[/tex]The correct answer is 59.42.

Lori passes 80% of her tests. In the next week, Lori has 4 tests. She wants to determine the probability that she passes all 4 of the tests.

Which simulation design has an appropriate device and a correct trial?

A) Let Heads represent Lori passing a test and Tails represent Lori failing a test. Flip the coin four times.
B) Roll a die letting 1-5 represent Lori passing a test and 6 represent Lori failing a test. Roll the die four times.
C) Spin a spinner that is split up into 5 sections, where 4 sections are a success of passing a test. Spin the spinner four times.
D) Using a random digits table select one digit numbers where 0-8 is a passing grade and 9 is a failing grade. Select four digits.

Answers

Since Lori passes 80% of her tests you need to make sure that the randomizing device has 80% of the outcomes assigned to passing and 20% of the outcomes assigned to failing. The correct answer is Spin a spinner that is split up into 5 sections, where 4 sections are a success of passing a test. Spin the spinner four times.

Answer: C)

Step-by-step explanation:

If z = 12.8, what is the value of 2(z - 4)? [Type your answer as a number.]

Answers

The answer will be 17.6

Answer:

17.6. Its correct

Step-by-step explanation:

Jamie is making a beaded necklace the ratio of blue beads to purple beads is 4:3 if jamie uses 56 blue beads and purple beads to finish her necklace how many of them will be purple

Answers

She will use 42 purple beads.

Explanation
We will use a proportion to solve this.

The ratio of blue to purple beads is 4:3, or 4/3.
We know she uses 56 blue beads and an unknown amount, x, of purple beads. This gives us 56/x.

Together, we have
4/3 = 56/x

Cross multiply:
4*x = 3*56
4x = 168

Divide both sides by 4:
4x/4 = 168/4
x = 42

Answer: 24 beads

Step-by-step explanation:

Jamie is making a beaded necklace having the ratio of blue beads to purple beads as 4:3 and the total beads used by Jamie is 56. This information can be written as:

Ratio of blue heads= 4

Ratio of purple beads= 3

Total ratio of beads= 4+3 = 7

Total beads used = 56 beads

The number of purple beads used will be= 3/7 × 56

= 3 × 8

= 24 beads

The number of purple beads used is 24

If BE = 2x-3 and AC=3x+1 Find Ac

Answers

The answer would be AC=22

an open rectangular cardboard box with a square base is to have a volume of 256cm^3. Find the dimensions of the box if the area of cardboard used is as small as possible

Answers

let
x------> the length side of the square base of the box
y-------> the height of the box

we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²--------> equation 1

The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.

surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x

step 1
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm

the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm

Final answer:

To find the dimensions of the box with the smallest area of cardboard used, we can minimize the surface area of the box using calculus. The volume of the box is given as 256 cm³.

Explanation:

To find the dimensions of the box with the smallest area of cardboard used, we need to minimize the surface area of the box. Let's assume that the length, width, and height of the box are L, W, and H, respectively.

The volume of the box is given by V = L * W * H = 256 cm³. Since the box has a square base, we have L = W.

The surface area of the box is given by SA = 2LW + 2LH + 2WH = 2(LW + LH + WH). Substituting L = W into the equation, we have SA = 6L² + 2LH.

To minimize the surface area, we can take the derivative of SA with respect to L and set it equal to zero. Solving this equation will give us the value of L that minimizes the surface area. Once we have the value of L, we can find the corresponding values of W and H using the equation V = L * W * H = 256 cm³.

Using this method, we can determine the dimensions of the box that will result in the smallest amount of cardboard used.

Which is an equation of the given line in standard form?

A. -6x+5y=13
B. -6x+7y=-11
C. -6x+7y=11
D. -7x+6y=-11

Answers

The slope: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The coordinates of the points:
[tex](-3;\ -1)\to x_1=-3;\ y_1=-1;\ \left(\dfrac{1}{2};\ 2\right)\to x_2=\dfrac{1}{2};\ y_2=2[/tex]

Substitute: [tex]m=\dfrac{2-(-1)}{\frac{1}{2}-(-3)}=\dfrac{3}{3\frac{1}{2}}=\dfrac{3}{\frac{7}{2}}=3\cdot\dfrac{2}{7}=\dfrac{6}{7}[/tex]

We have: [tex]y=\dfrac{6}{7}x+b[/tex]

Substitute the coordinates of the point (-3; -1) to the equation of the line:

[tex]-1=\dfrac{6}{7}\cdot(-3)+b\\\\-1=-\dfrac{18}{7}+b\ \ \ |+\dfrac{18}{7}\\\\b=\dfrac{11}{7}[/tex]

Therefore we have:
[tex]y=\dfrac{6}{7}x+\dfrac{11}{7}\ \ \ |\cdot7\\\\7y=6x+11\ \ \ |-6x\\\\\boxed{-6x+7y=11}[/tex]

Answer: C. -6x + 7y = 11

a) Suppose you are able to download 1 free song to your tablet daily and each additional download costs $0.59. If your monthly bill is $15.34, how many songs did you download if you downloaded 28 free songs? Write an equation and solve for the unknown variable.

Answers

If 1 additional song costs $0.59, then there would be 26 additional songs downloaded. Because $15.34 divided by $0.59 is 26.

Let x be the number of songs downloaded.

x = 28 + (15.34/0.59)
x = 28 + (26)
x = 54

You have 54 songs downloaded on your tablet.

Hope this helps :)

Answer:Let x be the number of songs downloaded.

x = 28 + (15.34/0.59)

x = 28 + (26)

x = 54

You have 54 songs downloaded on your tablet.

Step-by-step explanation:

Simplify the mathematical expression.

Answers

The answer would be 2 because you can reduce -5 1/2 to -11/2 and then when you multiply that by 4, you get -22. On the bottom, you can reduce -9 3/5 to -48/5. When you add -48/5 to -1.4 you get -11. Now your solved fraction would -22/-11 and -22 divided by -11 equals positive 2.

ANSWER ASAP WILL MARK AS BRAINLEST
A point is selected at random inside the given figure. What is the probability the point will be in the region labeled B? Enter your answer, as a fraction in simplest form, in the box. P(B) = The figure is a rectangle that is made up of three rectangles and one square. The rectangles are labeled A, B, and D, and the square is labeled C. Rectangle A is in the upper left portion of the large rectangle. The left side of rectangle A is labeled 5 inches and it is part of the left side of the large rectangle. Rectangle B is in the lower left portion of the large rectangle below rectangle A. The lower side of rectangle B is labeled 3 inches and makes up a part of the lower side of the large rectangle. Rectangle D makes up the right side of the large rectangle and is to the right of rectangle A. The upper side of rectangle D is labeled 3 inches and makes up a part of the upper side of the large rectangle. The right side of rectangle D makes up the entire right side of the large rectangle. Square C lies below rectangle A and between rectangles B and D. The lower side of square C is labeled 4 inches and makes up part of the lower side of the big rectangle. The right side of square C is also labeled 4 inches.

Answers

P(B) = 2/15

The area of A is given by 5(7) = 35 in².
The area of B is given by 3(4) = 12 in²
The area of C is given by 4(4) = 16 in²
The area of D is given by 3(9) = 27 in²

The total area is given by 35+12+16+27 = 90 in²

The probability of B is given by 12/90 = 2/15.

Analyze the solution set of the following system by following the given steps.
2x + y = 5 3y = 9 − 6x
Write each equation in slope-intercept form.
y = x +
y = x +

Answers

2x + y = 5
2x -2x+ y = 5 -2x
y=5-2x
y=-2x+5

3y = 9 − 6x
3y/3= 9/3 - 6x/3
y = 3 - 2x
y= - 2x +3

Equations in the slope-intercept form are
y= - 2x+5,
y= - 2x +3

Equations in the slope-intercept form are

y= - 2x+5,

y= - 2x +3

the salomans offered to be in charge if drinks for the party. In addition to other beverages, they brought 4 bags of coffee that each held 2 1/2 pounds. When brewed, 1/4 pound coffee made 8 cups of coffee. the salomans brewed and served 296 cups of coffee. was any coffee left over? if so, how much coffee was left? show your work

Answers

Let b coffee bags, c cups and lb pounds of the coffee:

b= 2.5 lb

.25lb=8 c

2.5lb * 8c/.25lb= 80 c

4(80c)= 320 c

320c - 296c = 24 cups was left.

What is the slope of the line that is parallel to the line shown?

A) 3/2
B) 1/3
C) -1/3
D) -3

Answers

Hey there! :D

All parallel lines have the same slope. They would need to, otherwise, they would intersect or come together at an angle eventually.

So, let's find the slope.

I'm going to use rise over run. (Remember, when moving to the left, you make the number negative.

rise=1 run= -3

-1/3 <== the slope

"C" is the correct answer.

I hope this helps!
~kaikers

help me? answers por favor ?

Answers

Please, post only one question at a time.

The line passing through (1,4) and (-4,-1) has the following slope:

-1 - 4 -5
m = ------------ = -------- = +1
-4 - 1 -5

Find the slope of the line passing thru the other set of points. Graph both lines. What do you see? Do the 2 lines have any particular relationship to one another?

The answer to 21 is Never true because a supplementary angle always adds up to 180 degrees and obtuse angles are angles MORE than 90 degrees and 91 + 91 wouldn't make it supplementary.

Last month, Luke spent $1,300 on his mortgage (home loan payment), $320 for food, $280 on entertainment, $275 for his car payment, $60 on car insurance, and $75 on clothing. What was the difference for the month between his fixed expenses and variable expenses? A) $1035 B) $1240 C) $960 D) $900

Answers

Te difference between the two categories is 960.

The fixed expenses are: mortgage, car and insurance
1300 + 275 + 60 = 1635

The variable expenses are: food, entertainment, clothing
320 + 280 + 75 = 675

Subtracting those gives a value of 960.

I have no congruent sides. One of my angles has a measure of 100 degrees.

Answers

The answer is a scalene triangle

PLEASE HELP ME!!!

Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the volume of the third box is 729 cubic meters. What is the height of the stacked boxes in meters?
19
29
30
31

Answers

The answer is nineteen A

A coach randomly sampled players from two different cities to determine the heights of the players. This table shows the results in inches.

City A 63 60 70 66 70 73 78 73 69 75
City B 67 73 75 73 69 78 76 74 72 74
Which conclusions can you draw about the heights of the players from the two cities?

Select each correct answer.

On average, the players in City A are a few inches taller than the players in City B.

On average, the players in City A are a few inches shorter than the players in City B.

On average, the players in the two cities are about the same height.

The heights of the players in City A are more variable than the heights of the players in City B.

The heights of the players in City A are less variable than the heights of the players in City B.

The heights of the players in the two cities vary by about the same amount.

Answers

to find average add the heights and divide by number, do this for both cities:
city A:
63 + 60 + 70 + 66 + 70 + 73 +78 + 73 + 69 + 75 = 697
697 / 10 = 69.7
shortest is 60, tallest is 78, difference = 78 -60 = 18

city b :
67+73+75+73+69+78+76+74+72+74 = 731
731 / 10 = 73.1
shortest is 67, tallest is 78, difference = 78-67 = 11

answers:
On average, the players in City A are a few inches shorter than the players in City B.

and

The heights of the players in City A are more variable than the heights of the players in City B.

Answer:

On average, the players in City A are a few inches shorter than the players in City B.

Step-by-step explanation:

i took the test hope this helps

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