Answer:
mid point={(7-1)/2,(1-5)/2=(3,-2)
A copy machine makes 36 copies per minute. How long does it take to make 117 copies
Answer:
3.25 minutes
Step-by-step explanation:
117 ÷ 36 = 117
Answer:
3.25 min
Step-by-step explanation:
copies. time
36. 1
117. x
36×x= 117×1
x. = 117÷36
x. = 3.25 min
a boat can travel 45 miles on 5 gallons of gasoline how much gasoline will it need to go 297 miles
Answer:
it will have 56 gallons
Step-by-step explanation:
You bought a new car for $18,500. The
value of the car depreciates 4.6% annually.
How much will your car be worth in 5
years? (HINT: How many decimal places
are in money?)
Answer:
14,245
Step-by-step explanation:
First you find 4.6% of 18,500 which is 851. Then you multiply 851 by the years, which is 5, and you get 4255. Lastly just subtract 4255 from 18500.
The table gives information about the lengths of time, in hours, some children
spent watching TV last week.
Length of time (7) Frequency
0
8
3
3
10
15
15
10
20
11
2
Frequency density
Draw a histogram for
the information in the table.
1
0+
0
10
30
40
20
Length of time (t)
Answer:
Step-by-step explanation:
The histogram of the distribution plotted with the frequency density on the y - axis and the interval for the length of time on the x - axis is attached below.
The first bar denotes the length of time between 0 and 10 having a frequency of 8 The second bar denoted the interval between 10 and 15 with a frequency of 15 The third bar denoted the interval between 15 and 20 with a frequency of 10The fourth bar denoted the interval between 20 and 30 with a frequency of 11Therefore, the histogram of the distribution is attached below.
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The length of each side of parallelogram RSTU is multiplied by three to create parallelogram WXYZ.
What is the ratio of the area of parallelogram RSTU to the area of parallelogram WXYZ?
A.1:3
B.1:6
C.1:9
D.1:27
E.1:81
Answer:
I believe A?
Step-by-step explanation:
6 quarts is how many fluid ounces
Answer:
its 192 fluid ounces
Step-by-step explanation:
Answer:
192
Step-by-step explanation:
Sorry i don't know how to type my work out. (But i did check my work 3 times you can rest easy because this answer is correct.)
Please help I need this answer!
Answer: 16
Step-by-step explanation: Good luck! :D
Answer:
It’s 16
Good luck
I honestly lost most of my brain cells Bc of quarantine so I’m glad I figured this out
Ramon was plotting the coordinates of a polygon. He has plotted the coordinates of the polygon shown below. What is the area of Ramon's
polygon?
1. Point A (2.5)
2. Point B (8,5)
3. Point C (8,9)
4. Point D (5,7)
5. Point E (2.9)
V
E
C
9
8
D
7
6
ke
5
A
B
4
3
2
1
5
6
7
8
9.
Answer:
Area of polygon = 18
Step-by-step explanation:
the given points are :
Point A (2.5)
Point B (8,5)
Point C (8,9)
Point D (5,7)
Point E (2,9)
Firstly , create the array
A 2 5
B 8 5
C 8 9
D 5 7
E 2 9
A 2 5
Now,
Multiply the x coordinates of each vertex by the y coordinate of the next vertex . and then add the result.
⇒ 10 + 72 + 56 + 45 + 10 = 193 .......(1)
Now,
Multiply the y coordinate of each vertex by the x coordinate of next vertex. then add the result
⇒ 40 + 40 + 45 + 14 + 18 = 157 ........(2)
Now, Subtract equation (2) from equation (1), we get
193 - 157 = 36
Now, Divide by 2 to get the area of polygon
∴ we get
Area of polygon = 18
I don’t know how to find X or Y very urgent, need to figure this out how to solve plz help
Answer:
x = 9
y = 9√3 = 15.6
Step-by-step explanation:
The triangle given is a right triangle, therefore:
✔️apply trigonometric ratio formula to find x:
Reference angle = 60°
Hypotenuse = 18
Adjacent = x
Thus:
Cos (60) = x/18
Multiply both sides by 18
18×cos(60) = x
9 = x
x = 9
✔️find y by applying pythagorean theorem:
y² = 18² - x² (pythagorean theorem)
y² = 18² - 9² (substitution)
y² = 243
y = √243
y = √(81*3)
y = 9√3 = 15.6
There is a stack of 10 cards, each given a different number from 1 to 10. Suppose we select a card randomly from the stack, replace it, and then randomly select another card. What is the probability that the first card is an even number and the card is greater than 7? Write your answer as a fraction in simplest form.
Answer:
1/5 chance or 20% chance.
Step-by-step explanation:
When doing this problem we can start with only being able to go for 7 and up. This already makes us go down to a 3/10. Now we have 8, 9, and 10. Only two of those numbers are even 8, and 10. Which gives us a 2/10. 2/10 then simplifies to 1/5.
:D
Probability helps us to know the chances of an event occurring. The probability that the first card is an even number and the card is greater than 7 is 0.15.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The probability that the first card is an even number and the card is greater than 7 is,
Probability = (5/10)×(3/10) = 15/100 = 0.15
Hence, the probability that the first card is an even number and the card is greater than 7 is 0.15.
Learn more about Probability:
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#SPJ2
What’s 9+10 I need help
Answer:
9+10=19 but if you are talking about the meme 21
Step-by-step explanation:
ङ-आपको कौन-सी ऋतु पसंद है और क्यों ?
Answer:
हेलो मेरा पसंदीदा मौसम गर्मियों का है, मैं इसे प्यार करता हूं क्योंकि मैं अपने दोस्तों के साथ तैराकी करता हूं और मुझे तैराकी पसंद है क्योंकि मैं ट्रैक रन करता हूं, मुझे सिर्फ गर्मी से प्यार है
Step-by-step explanation:
#15. A cube has a volume of 200 cm ^2 write the
edge length of the cube as a radical in simplest form
Answer:
[tex]2(25)^{\dfrac{1}{3}}[/tex]
Step-by-step explanation:
The volume of a cube is 200 cm².
We need to find the edge length of the cube.
The formula for the volume of a cube is given by :
[tex]V=a^3[/tex]
a is the side of the cube
[tex]a=\sqrt[3]{200} \\\\=(200)^{\dfrac{1}{3}}\\\\=(25\times 8)^{\dfrac{1}{3}}\\\\=(25)^{\dfrac{1}{3}}\times (8)^{\dfrac{1}{3}}\\\\=2(25)^{\dfrac{1}{3}}[/tex]
So, the edge length of the cube is [tex]2(25)^{\dfrac{1}{3}}[/tex].
Find the missing dimension
Height.
Answer:
x = 18
Step-by-step explanation:
So, we know that the formula for volume is the base of the shape * height. So, 6x is the area of the base because the area of a triangle is (l * W)/2. Next, we have to multiply 6x by the height of the shape. The height is 6, so the volume of the shape will 36x. Since we have the actual volume, all we have to do is divide 648/36 to get 18.
Q5.
Machine A and machine B both make car parts.
Machine A makes 6 parts every 10 minutes.
Machine B makes 13 parts every 15 minutes.
On Monday
machine A makes parts for 12 hours
machine B makes parts for 10 hours
Work out the total number of parts made by the two machines on Monday.
Answer:
A=432 B=520
Step-by-step explanation:
alright so there are 60 minutes in a hour so every 10 you get 6 so 6x6=36 per hour so 36x12 equals 432 parts
15 x 4 = 60 so 13 x 4 =52 per hour so 52 x 10 = 520
A major corporation is building a 4,325-acre complex of homes, offices, stores, schools, and churches in the rural community of Glen Cove. As a result of this development, the planners have estimated that Glen Cove's population (in thousands) t years from now will be given by
(25t2 + 150t + 100)/(t2 + 6t + 24)
A) Find the rate at which Glen Cove's population is changing with respect to time.
B) What will be the population after 10 years?
C) At what rate will the population be increasing when t = 10?
Answer:
See explanation
Step-by-step explanation:
We have that;
P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)
a) rate at which Glen Cove's population is changing with respect to time.
dP/dt = (t^2 + 5t + 40) (50t + 125) - (25t^2 + 125t + 200) (2t + 5)/(t^2 + 5t + 40)^2
dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2
b) population after 10 years
P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)
P(t) =(25(10)^2 + 150(10) + 100)/((10^2 + 6(10) + 24)
P(t) = 4100/184
P(t) = 22283
c) when t = 10
dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2
dP/dt = 1000(10) + 3000/(10^2 + 6(10) + 24)^2
dP/dt = 13000/33856
dP/dt = 0.384
3 Choose Yes or No to tell whether the denominator of
each product is
3x3 - 7x2 + 6x - 14
Explain
Answer:
Step-by-step explanation:
x^2(3x - 7) + 2(3x - 7)
(x^2 + 2)(3x - 7)
[tex]\huge\text{Hey there!}[/tex]
[tex]\bold{Factor: 3x^3 -7x^2+6x -14}[/tex]
[tex]\bold{Step-by-step\downarrow}[/tex]
[tex]\bold{x^2(\dfrac{3x^3}{x^2}-\dfrac{7x^2}{x^2})+2(\dfrac{2\times3x}{2}-\dfrac{2\times7}{2})}[/tex]
[tex]\bold{= x^2(3x^{3-2}-7)+2(3x-7)}[/tex]
[tex]\bold{= x^2(3x-7)+2(3x-7)}[/tex]
[tex]\bold{= (3x-7)(\dfrac{x^2(3x-7)}{3x-7}+\dfrac{2(3x-7)}{3x-7})}[/tex]
[tex]\bold{= \underline{(3x -7)(x^2+2)}}[/tex]
[tex]\boxed{\boxed{\bold{Answer: (x^2+2)(3x-7)}}}\huge\checkmark[/tex] [tex]\underline\bold{(Option\ C.)}[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Pls i need this asap
Answer:
It would have to be (C) 50.27 because 25 is too short for a diameter of 8 seeing it would be 8x4 to get 32 in which 25 is not long enough for. So the answer is C.
Need help wit this- pic below
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Answer:
x = 12
Step-by-step explanation:
We can find x using either the measure of angle B, or the measure of angle A.
Using A, we have ...
48 = x^2 -8x
Adding 16 completes the square:
64 = x^2 -8x +16 = (x -4)^2
Then the positive solution is ...
√64 = x -4
x = 4 +8 = 12
The triangles are similar when x=12.
__
Check
We expect angle B to be 84° when x=12:
(x^2 -5x) = x(x -5) = 12(7) = 84 . . . . as needed
Average of 5 numbers is 7. Four of the numbers are 3, 5, 7 and 9. Find the 5th number is
The 2013 Current Population Survey (CPS) estimates that 22.5% of Mississippians live in poverty, which makes Mississippi the state with the highest poverty rate in the United States.40 We are interested in finding out the probability that at least 250 people among a random sample of 1,000 Mississippians live in poverty. (a) Estimate this probability using the normal approximation to the binomial distribution. (b) Estimate this probability using the distribution of the sample proportion. (c) How do your answers from parts (a) and (b) compare
Answer:
calcule bruto malparido
An opera theater has a sale: "Buy two tickets and get the third
ticket 60% off!" Peter uses the sale and spends $180 for three
tickets. What is the price of a ticket when there is no sale?
Answer:
$75
Step-by-step explanation:
let 'x' = full price ticket
x + x + 0.4x = 180
2.4x = 180
x = 75
A car park holds 480 cars when full. The probability of a car in the car park being silver is 0.375.
On Friday morning the car park was full and Jamie counted 164 silver cars. Is this more or less
than expected?
Justify your answer by calculation
Answer:
164 is less than the expectation
Step-by-step explanation:
Given
[tex]n = 480[/tex] --- Cars
[tex]p = 0.375[/tex] --- Probability of silver
Required
Determine if 164 is more or less than the expectation
First, we calculate the expected value (E(x))
[tex]E(x) = n * p[/tex]
Substitute values for n and p
[tex]E(x) = 480 * 0.375[/tex]
[tex]E(x) = 180[/tex]
The expected number of silver cars is 180.
Hence, 164 is less than the expectation.
sketch the graph of each function. Then State the domain, range and increasing, decreasing intervals. Part 2
Problem 17
The graph is shown below.
The domain is [tex]x \ge -1[/tex] which is found by solving [tex]x+1 \ge 0[/tex]. This is done to ensure that the stuff under the square root is not negative. Note the left-most point of the graph has x = -1 as its x coordinate.
The domain in interval notation is [tex][-1, \infty)[/tex] we have a square bracket at -1 and a curved parenthesis at infinity.
The range is [tex]y \le 3[/tex] based on what the graph shows. This is directly tied to the +3 at the end of the function. The parent's function max value is y = 0, so that plus 3 shifts everything up 3 units so that the new translated function has a max of y = 3.
The range in interval notation is [tex](-\infty, 3][/tex] we use a square bracket to include 3 as part of the interval.
Throughout the entire function, the curve is going downhill as we move from left to right. The graph shows this. We could also use a table of values to see that as x gets bigger, y gets smaller.
So the function is never increasing. The function decreases on the interval (-1, infinity) which is the entire domain.
=====================================================
Problem 18
The graph is shown below. It's in a separate attachment.
The domain and range are the set of all real numbers. The graph shows that the curve extends forever to the left and right. Also, the graph extends forever upward and downward (regardless if that growth seems really slow).
The domain and range in interval notation is [tex](-\infty, \infty)[/tex] to indicate the entire real number line.
The graph goes uphill as we read from right to left, so the function is increasing on the interval [tex](-\infty, \infty)[/tex]. In other words, no matter where you are, you're going uphill if you move from left to right. This rules out the function ever decreasing.
We can use a table of values to see that the function is increasing if we cannot rely on the graph. As x gets bigger, so does y.
Answer:
1)
The angle of inclination is the angle between the horizontal and the ramp.
Using the sine ratio in the right triangle formed by the ground and the ramp
let x be the angle of inclination, then
sinx = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{0.7}{4.2}
4.2
0.7
, then
x = sin^{-1}sin
−1
(\frac{0.7}{4.2}
4.2
0.7
) ≈ 10° ( to the nearest degree )
(2)
Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.
let y be the height of the kite and x the horizontal distance, then
sin27° = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{y}{176}
176
y
( multiply both sides by 176 )
176 × sin27° = y , then
y ≈ 80m ( to the nearest metre ) ← height of kite
and
cos27° = \frac{adjacent}{hypotenuse}
hypotenuse
adjacent
= \frac{x}{176}
176
x
( multiply both sides by 176 )
176 × cos27° = x , then
x ≈ 157m ( to the nearest metre ) ← horizontal distance
In the triangle below,
y = [ ? ]°. Round to the nearest
tenth.
ly
8 cm
90°
X
10 cm
I
Enter
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Answer:
51.3°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides of a right triangle.
Here, you're given the side opposite angle y and the side adjacent to it. This suggests that the TOA relationship is most useful:
Tan = Opposite/Adjacent
tan(y) = (10 cm)/(8 cm) = 1.25
Then the angle is found from the inverse tangent function:
y = arctan(1.25)
y ≈ 51.3°
what is the 3rd quartile of the daily high temperature in atlanta for one month
61,61,63,64,65,66,66,67,68,70,70,70,71,71,72,74,74,74,75,75,75,76,76,77,78,78,79,79,94
problem 1. 6(x-2) = - 18
problem 2. 17 = 5k - 2
please help
Find the area of the composite figure.
Triangle Sum Theorem Review The following is a review of an important theorem from first semester. Please complete problems 2-4 and submit. Problem 1 is done for you to model the theorem as a review.
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Answer:
see the attachment
Step-by-step explanation:
The sum of angles is 180°, so the value of x is found by subtracting the given angles from 180°.
For example, ...
2. x = 180° -23° -68° = 89°
__
When a number of similar calculations are required, I like to enter the formula once and let a spreadsheet do the math. In the attached, the units of x are degrees. The problems are in order 1–4.