Distance travel by Drew = 1,315.21 feet (Approx)
What is distance?Distance is a measure of how far apart two objects or locations are using numbers. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage. Sometimes, the symbol |AB| is used to represent the distance between two points.
Given:
Total block in north = 3
Total block in west = 3
1 block = 310 feet
Find:
Distance travel by Drew
Computation:
Total distance in north = 3 × 310 = 930 feet
Total distance in west = 3 × 310 = 930 feet
Distance travel by Drew = Total distance in
north? + Total distance in west?
Distance travel by Drew = v9302 + 9302
Distance travel by Drew:
= V864,900 + 864,900
Distance travel by Drew = V1,729,800
Distance travel by Drew = 1,315.21 feet (Approx)
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A polygon undergoes a combined transformation of T3.2) (Ro, 90). The vertex (5,2) of the polygon maps to what final image?
А
(-4,8)
B.
(-2,5)
С
(1,7)
D
(5.-3)
The final image of the vertex of the polygon after a translation and rotation would be (- 4, 8).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
The preimage of the vertex of a polygon is, (5, 2).
Now, After a transformation of T(3, 2) the image of the vertex of the polygon would be, (5 + 3, 2 + 2) ⇒ (8, 4).
Now, Another transformation is the rotation of 90° (counterclockwise as it is positive).
We know a rotation of 90° counterclockwise to (x, y) becomes (- y, x).
Therefore, The vertex of the polygon will be at (- 4, 8).
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I need some help! 50 POINTS WILL MARK BRAINIEST!
Question A, Part 1,
A media company wants to track the results of it's new marketing plan, so the video production manager recorded the number of views for one of the company's online videos. Thw results of the first 5 weeks arw shown in the table.
Weeks x, 0, 1, 2, 3, 4, 5
Views F(x), 5,120, 6,400, 8,000, 10,000, 12,500, 15, 625
Write an equation to model the relationship between the number of weeks, x, and the number of views F(x). Enter the correct answer in the box by replacing the values or a and b
f(x) = a(b)^x
Part B
During the same time, the digital print manager tracked the number of visits to the websites homepage. He found that before launching the new marketing plan, there were 4,800 visits. Over the course of the next 5 weeks, the number of site visits increased by a factor of 1.5 each week.
Write an equation to model the relationship between the number of weeks, x, and the number of site visits f(x).
Enter of the correct answer in the box by replacing the values or a and b.
f(x) = a(b)^x
Part C
During their team meeting, both managers shared their findings. Complete each statement describing their combined results.
Select the correct answer from each drop down menu.
The initial number of video views was ___(A:More than, B:The same as, C:Fewer than). the initial number if site visits, and the number if video views grew by___(A:A smaller factor than, B:The same factor as, C:A larger factor than), the number of site visits.
The difference between the total number of site visits and the video views after 5 weeks is___(A:20,825, B:36,450, C:52,075, D:15,625)
Please help it'd be really helpful! I'm having a lot of issues and it's due really soon thank you!! <3
Answer:
A) [tex]f(x)=5120(1.25)^x[/tex]
B) [tex]f(x)=4800(1.5)^x[/tex]
C) see below
Step-by-step explanation:
Part A
Hopefully this formatting looks ok:
| Weeks x | Views f(x) |
| ------------ | -------------- |
| 0 | 5120 |
| 1 | 6400 |
| 2 | 8000 |
| 3 | 10000 |
| 4 | 12500 |
| 5 | 15625 |
| ------------ | -------------- |
That's my attempt at a table.
We need an equation in the form of:
[tex]f(x)=a(b)^x[/tex]
where a is the starting value and b is the growth factor.
First, check the difference between each week:
[tex]6400 - 5120=1280\\8000 - 6400=1600\\10000 - 8000=2000\\12500 - 10000=2500\\15625 - 12500=3125\\[/tex]
Then, check the scale factor for each of the differences:
[tex]16000\div 12080 = 1.25\\2000\div 1600=1.25[/tex]
etc..
The difference grows by 1.25x each week. That is, a grow factor of 1.25.
Now that we have both the starting value and the grow factor, we can write the equation:
[tex]f(x)=5120(1.25)^x[/tex]
If you want to test it, for example, calculate for the 3rd week:
[tex]f(3)=5120(1.25)^3\\f(3)=5120(1.953125)\\f(3)=10000[/tex]
Part B
This is very similar to Part A. The starting value and growth factor are given this time, so all you need to do is write the equation with the new values.
[tex]f(x)=4800(1.5)^x[/tex]
Part C
The initial number of video views (5120) was more than the initial number of site views (4800), and the number of video views grew (1.25) by a smaller factor than the number of site visits (1.5).
The difference between the total number of site visits and the video views after 5 weeks is 20,825.
[tex]f(5)=5120(1.25)^5=15625 -video\\f(5)=4800(1.5)^5=36450-site\\36450-15625=20825[/tex]
The equation to model the relationship between the number of weeks and the number of views will be f(x) = 5120(1.25)^x
How to depict the equation?From the information given, the difference in the views will be:
6400 - 5120 = 1280
8000 - 6400 = 1600
10000 - 8000 = 2000
The scale factor will be:
= 1600/1280 = 2000/1600
= 1.25
Therefore, the growth factor is 1.25.
The equation to model the relationship between the number of weeks, x, and the number of site visits is 4800(1.5)^x.
Lastly, the difference between the total number of visits and the video views will be:
= 4800(1.5)^5 - 5120(1.25)^5
= 36450 - 15625
= 20825
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Pleaseee help me A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function (x) -0.8x? - 256x+29,444. What is the minimum unit cost?
Do not round your answer.
Answer: 8,964
Step-by-step explanation: x= -b/2a. So, -(-256)/2(0.8)= 160. Plug in 160 to the whole equation.
0.8(160)^2 -256(160)+29444
=8,964
Complete the table using the equation y = 8x + 8 ( helppp plsss)
Answer:
0, 8, 16, 24, 32
Step-by-step explanation:
plug in the values given for x into the 8x+8 equation
Example:
8(-1)+8
8(0)+8
Answer:
(-1, 0), (0, 8), (1, 16), (2, 24), (3, 32)
Step-by-step explanation:
To find answers to problems like these, take the x-value, which in this case is -1, and replace it with the variable,
y = 8*-1 + 8. Then do the rest, y = -8 + 8, y = 0. You already have the x, -1, and now you got y, 0. Then pit in ordered pairs, x first, then y, (-1, 0)
Benny has a baseball card collection he has 13,789 cards he wants to put the card in a scrapbook that holds 15 cars on a page how many pages does Denny need in his scrapBook.
Answer:
920 pages
Step-by-step explanation:
Divide 13,789 by 15, you should get 919.27 so just round up so you can hold all the cards.
Which of the following is NOT classified as nonverbal communication a. Signs b. Eye Contact c. Body language d. Gestures
Answer:
american sign language (ASL)
A donut has a diameter of 15cm. Whats is the comerference?
Mimi is making cookies fo her family reunion. Each batch of cookies calls for 1 1/2 cups of chocolate chips. She makes 3.5 batches. How many cups of chocolate chips does she use?
Answer:
5 and 1/4 cups of chocolate chips
Simplify the scale 5mm: 1 meter , writing your answer in ratio form.
Answer:
1 : 200
Step-by-step explanation:
To get an answer in ratio form, we must convert meters into millimeters or we can convert millimeters to meters. Then we can get our answer.
Step 1: Convert.
=> 5 millimeters : 1 meter
=> 5 millimeters : 1000 millimeters
Step 2: Simplify.
=> 5 millimeters : 1000 millimeters
=> 1 millimeter : 200 millimeters
Key Note: Answer in ratio form is always unitless.
=> 1 : 200
So therefore, 1 : 200 is our ratio. Hoped this helped.
Which number sentence is true?
A. -4.25 > -2 4/5
B. 6/11 > 6.11
C. 7/8 > -0.78
D. 14/8 > 8.1
Answer: C. Is true 7/8>-0.78
Ashely burns 0.48 calories for every 20 feet she runs.How many calories would she burn after running 2 miles?
Answer:
253.44 calories
Step-by-step explanation:
2 miles = 10560 feet
10560/20 = 528
528 · 0.48 = 253.44
find all of the remaining angles
Step-by-step explanation:
angle 1 = 73°
angle 2 = 107°
angle 3 = 73°
angle 4 = 107°
angle 5 = 73°.
hope this helps you.
Solve the inequality t/2 ≥ 11 for t.
A. 4 ≥ 9
B. t ≥ 22
C. t ≤ 9
D. t ≤ 22
Answer:
B
Step-by-step explanation:
We can multiply both sides by 2 to get rid of the fraction and get:
t ≥ 11 × 2 ->
t ≥ 22.
Hope that helps! :)
Answer:
B: t ≥ 22
Step-by-step explanation:
You start at (4,5). You move down 3 units. Where do you end?
Answer:
(4,2)
Step-by-step explanation:
If you move from left to right your X will change if you move up or down your Y will change.
( can I have brainiest? )
can someone please tell me what is 12 x 8 +5?
Use BODMAS
first solving 12×8
which is = 12×8=96
than add +5
so, 96+5= 101
Hope This HelpsAnswer: 12x8=26+5= 31
Step-by-step explanation:
multiply 4 (-52/3) in simplest form
Answer:
Should be -69 1/3
Step-by-step explanation:
Let X equal the decimal number
Equation 1:
X=69.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
With 10 digits in the repeating decimal group,
create a second equation by multiplying
both sides by 1010 = 10000000000
Equation 2:
10000000000X=693333333333.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Subtract equation (1) from equation (2)
10000000000XX9999999999X===693333333333.3333333333...69.3333333333...693333333264
We get
9999999999X=693333333264
Solve for X
X=6933333332649999999999
Find the Greatest Common Factor (GCF) of 693333333264 and 9999999999, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 3333333333,
693333333264÷33333333339999999999÷3333333333=2083
Simplify the improper fraction,
=6913
In conclusion,
−69.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯=−6913
The nth term of a sequence is 3n² Work out the value of the 15th term.
Answer:
a₁₅ = 675
Step-by-step explanation:
Substitute n = 15 into the nth term formula
a₁₅ = 3(15)² = 3 × 225 = 675
In how many years will Rs 1200 at the rate of 15% interest amount to Rs 1740?
Answer:
3 years.
Step-by-step explanation:
Answer
3 years
Step by step explanation
Interest = 1740 - 1200
= 540
SI = prt/100
540 = 1200*15*t/100
540 = 12*15*t
540 = 180*t
t = 540/180
t = 3 yrs
1. 24x - 18
-
A. 6(4x-3) B. 6
-
C. 4(6x - 4) D. 12x - 9
It’s a select all that apply question
[tex] \: [/tex]
the right answer is
A. 6(4x-3)Step-by-step explanation:
[tex]24x - 18[/tex]
Factor out 6 from the expression[tex] = 6(4x - 3)[/tex]
so we got the answerhope it helps[tex] \: [/tex]
6-2/3(x+5)=4x solve for x
Answer:
3x^2+15x-1=0
Step-by-step explanation:
4/(3x+15)=4x
4=12x^2+60x
12x^2+60x-4=0
3x^2+15x-1=0
Please solve after that, I cannot do everything for you
22.45=x+5y,
27.45=x+7y
Answer
7
Step-by-step explanation:
A hot air balloon is at an elevation of 425 feet. It descends 110 feet what is the elevation of the balloon?
Answer:
315
425 + -115 = 315 feet
Step-by-step explanation:
Answer:
The balloon will be at an elevation of 315 feet.
Step-by-step explanation:
425-110=315
37,162 Divided by 10 to the third power equals what
Answer:
37.162
Step-by-step explanation:
We know that 10 to the third power is 10³ = 1000. When a number is divided by 1000, the decimal point is moved 3 digits to the left. Therefore, we can get 37,162/1000 = 37.162
There are 495 pages in the mathematic book, from this 330 pages are included for the first term. Find the proportion of total pages to allotted pages in simplest form.
Answer:
330/495 = 2/3
the answer is 2/3
Answer:
3 : 2
Step-by-step explanation:
Total pages : allotted pages = 495 : 330
Find the HCF of 495 and 330
495 = 5 * 3*3*11
330 = 5 * 3 * 2 * 11
HCF = 5 * 3 * 11 = 165
Divide 495 and 330 by 165
495 : 330 = 3 : 2
1 Solve for the unknown variable:
Answer:
Approximately 6.4
Step-by-step explanation:
We can use the pythagorean thereom here, that tells us (a^2)+(b^2)=c^2. C is the hypotenuse, the side opposite from the right angle, while a and b are the other sides. We can insert 5 and 4 as a and b, and solve for c
:(5^2)+(4^2)=c^2
:25+16=c^2
:41=c^2
:sqrt(41)=6.4=c (We square rooted both sides. 6.4 is only rounded to the nearest hundredths place.) Hope this helps!
Answer:
c = 6.4
Step-by-step explanation:
To find c, we need to use Pythagoras theorem which is:
[tex]a^2 + b^2 = c^2[/tex]
Plug known variables in:
[tex]5^2 + 4^2 = c^2\\25 + 16 = c^2\\\sqrt{25 + 16} = c\\\sqrt{41} = c \\c = 6.403\\c = 6.4[/tex]
Hope this helps!
Yara is trying to find the best price for 8 notebooks.
If 2 notebooks cost $14.00 at Barnyard Books, and 5 notebooks cost $20.00 at The Bookworm, how many dollars will Yara save if she buys 8 notebooks from The Bookworm instead of Barnyard Books?
Answer:
Yara will save $24.00 if she buys 8 notebooks from bookworm instead of barnyard books.
Step-by-step explanation:
if 2 notebooks = $14.00, then, 14 ÷ 2 = $7.00
Therefore, 1 notebook at Barnyard book is $7.00
She bought 8, so 8×7 = $ 56.00
> She will spend $56.00 at Barnyard book
while at bookworm, 5 notebooks cost $20.00
> 20 ÷ 5 = $4.00
Therefore, 1 notebook at bookworm cost $4.00
She bought 8, so 8×4 = $32.00
> She will spend $32.00
Subtract the total amount that she'll spend on both stores
$ 56.00 - $ 32.00 = $ 24.00
Therefore, Yara will save $24.00 if she buys 8 notebooks from bookworm instead of barnyard books
A circle is divided into equal parts. An angle turns through one of the parts, as
shown below. Which equation shows a way to find the measure of the angle?
Answer:
1/6 = 60/360
Step-by-step explanation:
The circle is split into 6 parts and a circle equals 360°
1/6 = x/360
Cross Multiply...
6x = 360
Divide to isolate x...
x = 60
The equation measures the angle that will be 1 / 6 = x / 360. Then the correct option is D.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
A circle is divided into equal parts. An angle turns through one of the parts, as shown below.
Then the equation shows a way to get the measure of the angle that will be
The arc of the circle makes 360°. And the circle is divided into six equal parts, and then the angle of each section will be equal.
Let x be the angle of each section.
Then the ratio of the area of the complete circle and one-sixth circle. Then we have
A₁ = 6A₂
Then we have
A₂ / A₁ = [(x/360) πr²] / [πr²]
A₂ / 6A₂ = x / 360
1 / 6 = x / 360
Then the value of x will be
x = 60°
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Draw a square and its diagonals. Guess the measures of these angles.
Answer:
90 degrees on each angle.
Step-by-step explanation:
A square is symmetrical on all sides, so each side has to be a right angle. Each right angle adds up to 360 degrees, the total degrees of a quadrilateral.
use lagrange multipliers to find the maximum and minimum
it costs $20 per day to board a dog and $16 per day to board a cat. The kennel needs to make at least $800 per day to cover expenses, but can hold no more than 80 total animals. Write a systems of inequalities, graph , and give two possible solutions to the number of dogs and cats they can board each day
Answer:
Step-by-step explanation:
the anwer is r=dog y=cat 20r+16y>800-->y>-5/4 r+50 20r-16y<r+80 40 dogs+20 cats 15+55 cats