To empty the tank in the shape of prism completely, Colin has to wait 150 minutes for the water of the pond to at zero level.
What is the prism volume formula?
V=Bh, where B is the base area and h is the height, is the formula for a prism's volume. The prism has a rectangular base. The rectangle measures 9 cm in length and 7 cm in breadth. A rectangle's area A is equal to its length l and width w.Given :
A pond in the shape of a prism.
Colin uses a pump to empty the pond. The level goes down by 20 cm in the first 30 minutes.
Solution :
We know that the volume of the prism is given by,
Volume = ( Base area ) × height
Base area = 1/2 ( 1.4 + 0.6 ) × 2 ⇒2 m²
Volume = 2 × 1 = 2m³
Given that the level of pond goes down by 20 cm in the first 30 minutes. Therefore, the volume becomes,
Volume = 2 × 0.8 = 1.6m³
Now, the rate of emptying the tank is,
[tex]= \frac{2 - 16}{30} = \frac{1}{75}[/tex] m³/min
time = volume / rate
= [tex]\frac{2}{\frac{1}{75} }[/tex] = 150
Therefore, Colin has to wait 150 minutes for the pond to completely empty
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Liz is taking guitar lessons and practises every night. Yesterday, she played a total of 40 chords in 8 minutes. Today, she will play chords for 5 minutes.
If she plays at the same rate, how many chords will Liz play today?
Answer:
25Step-by-step explanation:
number of cords played in 8 minutes= 40number of cords played in 1 minute= 40/8= 5so , the number of cords played in 5 minutes will be = 5 × 5 = 25 chordshope it helps you
simplify
-3m+7-2n+3-m+3m
f. 4mn + 10
g -4m + n + 10
h -4m - n + 10
j -40mn
The simplified form of the expression is -m-2n+10
Simplifying linear equationLinear equation are equation that has a linear degree of 1. Given the following expression
-3m+7-2n+3-m+3m
Collect the like terms
-3m+3m-m-2n+7+3
-m - 2n + 7 + 3
Simplify to finally have:
-m-2n+10
Hence the simplified form of the expression is -m-2n+10
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1, .25 blank , -1.25, blank complete each arithmetic sequence
The complete arithmetic sequence is 1, .25, -0.5, -1.25, -2
How to complete the arithmetic sequence?The arithmetic sequence is given as:
1, .25, blank, -1.25, blank
Replace the blanks in the arithmetic sequence with x and y
So, we have:
1, .25, x, -1.25, y
An arithmetic sequence has a common difference (d)
The common difference is calculated using
d = T2 - T1
So, we have
d = 0.25 - 1
d = x - 0.25
d = y + 1.25
Substitute d = x - 0.25 in d = 0.25 - 1
x - 0.25 = 0.25 - 1
This gives
x = 0.25 + 0.25 - 1
Evaluate the sum
x = -0.5
Substitute d = 0.25 - 1 in d = y + 1.25
0.25 - 1 = y + 1.25
This gives
y = 0.25 - 1 - 1.25
Evaluate
y = -2
Hence, the complete arithmetic sequence is 1, .25, -0.5, -1.25, -2
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Marcy has a picture frame that is 18 by 24 inches. If she has another frame congruent to the first one, and
one of its sides is 24 inches long, determine the length of the other side.
Answer:
18
Step-by-step explanation:
Congruent means same size and shape
So if the first one was 18 by 24 and you are given another that is congruent to it and given one side which is 24 so the other has to be 18.
What is the slope of the line?
Answer: The answer is A) - 9/5, because the slope of the line is decreasing/going downward indicating that the slope is negative. The slope of the line is steep, and so the rise should be more the run.
Step-by-step explanation: hope this helps!!!!!!
what is the approximate side length of a square game board with an area of 162 in^2?
Answer:
area is side multiplied by side
Step-by-step explanation:
162 divided by 2x
Type the correct answer In each box. Spell all words correctly, and use numerals Instead of words for numbers. If necessary, use / for the
fraction bar(s).
IS What is the mean of the given distribution, and which type of skew does it exhibit?
(4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2}
The mean of the distribution Is
and it exhibits a
skew.
The solution is Mean = 3.25 for the given distribution's mean and its type of skew.
What in mathematics is Mean?A list of values, such as measurements or numbers, is used to calculate it by dividing the total number of values in the list by the total number of values in the list. Add up each value in the set to determine the mean. Next, divide the total by the number of values.
based on the facts provided;
Step 1: Presented data:
4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2
Step 2:
Sum of the numbers
= 4.5 + 3 + 1 + 2 + 4 + 3 + 6 + 4.5 + 4 + 5 + 2 + 1 + 3 + 4 + 3 + 2
= 52
Sum of the numbers = 52
Number of terms = 16
Step 3:
Mean=sum of the number/number of term
=52/16
= 3.25
Mean = 3.25
Mean of the distribution is 3.25.
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PLEASE SHOW WORK
HELP
Answer:
82 + 0.6h = 85 and h = 5
Step-by-step explanation:
hours = h
82 + 0.6h = 85
85 - 82 = 0.6h
3 = 0.6h
3/0.6 = h
h = 5
58 divided by 5,350 (working out please!)
When we divide 58 by 5,350, the value is 0.108411.
How to compute the value?The information is that we should divide 58 by 5,350.
It should be noted that we cab reduce to the lowrst term before dividing. This will be:
= 58/5350
= 29/2675
Therefore, we can then convert the value to decimal and this will be:
= 29/2675
= 0.108411
The division is 0.108411.
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Andy and his friend sam were walking along the road together. andy had a big bag of marbles. unfortunately the bottom of the bag split and all the marbles spilled out. poor andy! one third of the marbles rolled down the slope too quickly for andy to pick them up. one sixth of all the marbles disappeared into the rain-water drain. andy and sam picked up all they could but half of the marbles that remained nearby were picked up by other children who ran off with them. andy counted all the marbles he and sam had rescued. he gave one third of these to sam for helping him pick them up. andy put his remaining marbles into his pocket. there were 14 of them. how many marbles were there in andy's bag before the bottom split?
The total number of marbles that were there in Andy's bag before the bottom split are 84 marbles.
Let, the total number of marbles Andy have in the bad in beginning = x
One third of the marbles rolled down the slope too quickly for Andy to pick them up. So we can write,
Total number of marbles Andy have now = x - (x/3)
One sixth of all the marbles disappeared into the rain-water drain. So, So we can write,
Total number of marbles Andy have now = x - (x/3) - (x/6) = (x/2)
Half of the marbles that remained nearby were picked up by other children who ran off with them. So, we can write
Total number of marbles Andy have now = (x/2) - (x/4) = (x/4)
Andy gave one third of these to Sam for helping him pick them up. So,
Total number of marbles Andy have now = (x/4) - (x/12) = (x/6)
Now, we have given that Andy have 14 marbles in the end in his pocket. On comparing it with above equation, we get
(x/6) = 14
⇒ x = 84
The total number of marbles that were there in Andy's bag before the bottom split are 84 marbles.
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Nicole cleans six of the ten windows in her house. Her mom said she needs to wash 3/5 of the windows. Has Nicole cleaned enough windows? Explain your answer.
Answer:
Yes she has cleaned enough windows.
Step-by-step explanation:
If you simplify 6/10 you get 3/5
PLEASE WHAT IS THE LIMIT HELP IM SOBBING CRYING THANKS
Answer:
Step-by-step explanation:
Click this link to see the answer pls. I cannot explain it on this little square box.
i swear, just click it.
https://giphy.com/gifs/trolli-basketball-weirdly-awesome-sour-brite-slam-STcNf6rLHyMA8
what is the answer of 20 plus 12
Answer:
32
Step-by-step explanation:
A set of 10 scores has ss = 90. if the scores are a sample, the sample variance is ____, and if the scores are a population, the population variance is ____.
If the scores are a sample, the sample variance is 10, and if the scores are a population, the population variance is 9.
A set of 10 scores has SS = 90.
The formula in getting the population variance is
σ² = SS / N
where SS is the sum of squared deviation and N is the number of population.
Therefore, the population variance is
σ² = 90 / 10
σ² = 9
The formula in getting the sample variance is
σ² = SS /( n - 1)
where SS is the sum of squared deviation and n is the number of samples.
Therefore, the sample variance is
σ² = 90/ (10 - 1)
σ² = 90 / 9
σ² = 10
Therefore, if the scores are a sample, the sample variance is 10, and if the scores are a population, the population variance is 9.
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Help me please, I need to pass this class
Answer:
Step-by-step explanation:
20
Answer: KL IS 3 + 9 THEN 5 MINUS NINE
Step-by-step explanation: FIND KL
I need help with this ASAP
Solution : Straight line question : y= 2x-3
Straight Line:
A straight line is just a line with no curves. So, a line that extends to both sides till infinity and has no curves is called a straight line.
Slope:
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Use the slope and one of the points to solve for the y-intercept (b).
One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.
Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line
1)Point (3,3) (4,5)
slope: (5-3)/(4-3) = 2/1 = 2
Y= mx+c
y -3 = 2(x-3)
y-3= 2x-6
y= 2x-6+3
y= 2x-3
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A polynomial function g(x) has a positive leading coefficient. Certain values of g(x) are given in the following table.
x –4 –1 0 1 5 8 12
g(x) 0 3 1 2 0 –3 0
If every x-intercept of g(x) is shown in the table and each has a multiplicity of one, what is the end behavior of g(x)?
a
As x→–∞, g(x)→–∞ and as x→∞, g(x)→–∞.
b
As x→–∞, g(x)→ –∞ and as x→∞, g(x)→∞.
c
As x→–∞, g(x)→∞ and as x→∞, g(x)→–∞.
d
As x→–∞, g(x)→∞ and as x→∞, g(x)→∞.
The end behavior of g(x) is;Option A: As x→–∞, g(x)→–∞ and as x→∞, g(x)→–∞.
What is the End behavior of the Polynomial?
The Factor Theorem states that a function with leading coefficient a and zeros x1, x2, x3,....,xn is defined by;
g(x) = a(x - x1)(x - x2).....(x - xn)
In the given table;
f(x) = 0 for x = -4 and 12. Thus, the zeros are x1 = -4 and x2 = 12
Then the definition is;
g(x) = a(x + 4)(x - 12)
g(x) = a(x² - 8x - 48)
The end behavior is the limit of g(x) as x goes to infinity, thus:
limₓ→ ∞ g(x) = limₓ→ ∞ax² = a * ∞
Since the leading coefficient a is negative, then;
a * ∞ = - ∞
Thus, the end behavior of g(x) is; As x→–∞, g(x)→–∞ and as x→∞, g(x)→–∞.
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Write the first six terms of the arithmetic sequence with the first term, a1, and common difference, d.
a1 = 2, d=3
Answer:
2.5.8.11.14.17
Step-by-step explanation:
Start from 2 and add 3 every time
10. Jordan wants to buy a pair of shoes that cost $150.99. The
shoes are 35% off, what will be the price of the shoes after the
discount?
Answer:
$98.14
Step-by-step explanation:
150.99 x 0.35. Subtract answer from total to get final price.
what property of the median does this illustrate? a. it does not illustrate any property of the median. b. it illustrates the non-resistance of the median. c. it illustrates the resistance of the median. d. it illustrates that the median divides the bottom 50% of the data from the top 50%.
Answer: C. It illustrates the resistance of the median.
10. Circle the irrational number in the list below.
√196
7.27
5/9
√15
URGENT!! ILL GIVE BRAINLIEST! 100 POINTS
Answer:
1. l
2. h
3. j
4. k
Step-by-step explanation:
Looks right to me :)
Find the coordinates of Q if R(6,-1) is the midpoint of QS, and S has coordinates (12, 4).
The coordinates of Q will be (0, -6) if R(6, -1) is the midpoint of QS.
Let the coordiantes of point Q be (x, y).
According to the given question.
R is the midpoint of QS.
The coordinates of point R is (6, -1).
And the coordinates of point S is (12, 4).
Thereofore, the coordiantes of point Q is given by
(6, -1) = ( (x + 12)/2, (y + 4)/2 )
⇒ x + 12/2 = 6 and y + 4/2 = -1
⇒ x + 12 = 12 and y + 4 = -2
⇒ x = 0 and y = -6
Hence, the coordinates of Q will be (0, -6) if R(6, -1) is the midpoint of QS.
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Dylan is making a party favorites for his dylan is making party favors for his birthday party he has 32 pencils and 56 lollipops and he must use all the pencils and lollipops for his birthday favorites if dylan creates the greatest number of identical packages possible how many parties favors can he make how many pencils and lollipops are there in each party package
He can make 8 party package and each package consists 4 pencils and 7 lollipops with 32 pencils and 56 lollipops .
To determine the greatest number of identical packages possible we have to determine the highest common factor of two given no. , 32 and 56
Let's determine the factors of the 32 and 56 ,
32 = 2 × 16 = 2 × 2 × 2 × 2 × 2
56 = 2 × 2 × 2 × 7
So , common factors are 2 , 2 ,2
Now , The HCF is , 2 × 2 × 2 = 8
So , total combination is 8 and in each combination , there is 4 pencils ( 32 / 8 = 4 )and 7 ( 56/8 = 7 ) lollipops .
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if C = 5/9(f-32)find the value of f when c=30
The answer for this equation would be f = 86
#3 D
MODELING REAL LIFE You consider buying a phone from one of two cell phone carriers. The table shows the total costs
(in dollars) of the phone and service for different numbers of months at Carrier A. The total cost y (in dollars) of the phone
and x months of service at Carrier B is represented by the equation y = 55x + 300. Which carrier has the lower initial fee?
Answer:
Step-by-step explanation:
The carrier that has the lower initial fee is carrier B
How to determine which carrier has the lower initial fee?For carrier B, we have the following equation
y = 55x + 300
Set x = 0 to determine the initial fee
y = 55 x 0 + 300
Evaluate
y = 300 ---- the initial fee of carrier B
For carrier A, we have the following points on the table
(x, y) = (3, 500), (6, 650)
The slope of the points is calculated using
m = (y2 - y1)/(x2 - x1)
This gives
m = (650 - 500)/(6 - 3)
Evaluate
m = 50
Let the initial fee of carrier B y
So, we have the following points
(x, y) = (0, y), (6, 650)
The slope of the points is calculated using
m = (y2 - y1)/(x2 - x1)
This gives
m = (650 - y)/(6 - 0)
Evaluate
m = (650 - y)/6
Substitute m = 50 in m = (650 - y)/6
50 = (650 - y)/6
This gives
300 = 650 - y
Solve for y
y = 350
So, we have:
y = 300 ---- the initial fee of carrier B
y = 350 ---- the initial fee of carrier A
300 is less than 350
Hence, the carrier that has the lower initial fee is carrier B
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i need help ! pls ive been having a hard time with it ive looked at it 100 times
Answer:
6.4 (or round to 6 for one digit)
Step-by-step explanation:
Look up "distance between two points formula"
Answer: MN≈6.4
Step-by-step explanation:
[tex]M(-3,-1)\ \ \ \ N(2,3)\\[/tex]
[tex]\boxed {MN=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }[/tex]
[tex]x_1=-3\ \ \ \ x_2=2\ \ \ \ y_1=-1\ \ \ \ y_2=3\\MN=\sqrt{(2-(-3))^2+(3-(-1))^2}\\ MN=\sqrt{(2+3)^2+(3+1)^2}\\ MN=\sqrt{5^2+4^2}\\ MN=\sqrt{25+16} \\MN=\sqrt{41} \\MN\approx6.4[/tex]
If you are shopping online, why is it a good idea to pay by credit card?
Answer: Credit cards are safer to carry than cash and offer stronger fraud protections than debit.
Which of these tables represents a function? A table has values of X and Y. Row 2: X negative 1 and Y 15. Row 3: X negative 2 and Y 6. Row 4: X 0 and Y 15. Row 5: X 4 and Y 6. W. A table has values of X and Y. Row 2: X 0 and Y 4. Row 3: X 6 and Y 15. Row 4: X 0 and Y 6. Row 5: X negative 2 and Y negative 1. X. A table has values of X and Y. Row 2: X 4 and Y 0. Row 3: X negative 1 and Y negative 2. Row 4: X 6 and Y negative 2. Row 5: X 6 and Y 15. Y. A table has values of X and Y. Row 2: X 6 and Y negative 2. Row 3: X 4 and Y 0. Row 4: X 15 and Y negative 1. Row 5: X 4 and Y 3. Z. A. W B. X C. Y D. Z
Answer:
A. E negitive
Step-by-step explanation:
Answer: x is alys a step behind y so you can make ech difrints by moltapling to ech step
Step-by-step explanation:
solve the inequality -5x - 7 less than 28
Step-by-step explanation:
Determine the area of square 1
Answer:
x > - 7
Step-by-step explanation:
- 5x - 7 < 28 ( add 7 to both sides )
- 5x < 35
divide both sides by - 5 , reversing the symbol as a result of dividing by a negative quantity.
x > - 7