Answer: it will take Alex approximately 42.86 seconds to catch up to Victor.
Step-1:- To determine the time it will take for Alex to catch up to Victor, we can use the concept of relative speed.
The relative speed = Seed of victor+ Speed of Alex brother
relative speed= 18 km/hr + 24 km/hr = 42 km/hr.
Step-2 :- Since Alex is starting from 1/2 km away from the house, the distance he needs to cover to catch up to Victor is also 1/2 km.
Using the formula: time = distance / speed
therefore time = [tex]\frac{1/2}{42}[/tex] we can calculate the time it will take for Alex to catch up to Victor:
time = [tex]\frac{1}{2} \frac{1}{42}[/tex]/hr = 0.0119 hours or
Now Converting hours into seconds
1 hr = 3600 seconds
0.0119 hr = 0.0119×3600 seconds
Time = 42.86 seconds.
Help :l Thank you very very very much...
Answer:1152 ft^2
Step-by-step explanation:
Earn points, answer both questions!
Answer:
Area of five squares = 1289.09 square units
Perimeter = 194.6 units
Step-by-step explanation:
Area of square and perimeter:
First find the length of each square, then find the area of each square.
To find the area of five squares, add all the area of each square.
Side of square1 = 27 units
[tex]\sf Side \ of \ square2 = \dfrac{2}{3}*27=2*9 = 18 \ units\\\\Side \ of\ square3= \dfrac{2}{3}*18=2*6=12 \ units\\\\Side \ of \ square4=\dfrac{2}{3}*12=2*4=8 \ units\\\\Side \ of \ square5=\dfrac{2}{3}*8=\dfrac{16}{3}=5.3 \ units[/tex]
Area of square1 = 27*27 = 729 square units
Area of square2 = 18*18 = 324 square units
Area of square3 = 12*12 = 144 square units
Area of square4 = 8*8 = 64 square units
Area of square5 = 5.3*5.3 = 28.09 square units
Area of five squares = 729 + 324 + 144 + 64 +28.09
= 1289.09 square units
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Perimeter of the composite figure = (27 + 27+27+9) + (18+18+6) +(12+12+4) + (8+8+2.7)+ (5.3+5.3+5.3)
= 90 + 42 + 28 + 18.7 + 15.9
= 194.6 units
Solve and explain each step and explain
Answer:
List: 4,4,5,6,6,8,8,9
Sum: 50
Mean: 6.25
Step-by-step explanation:
List: 4,4,5,6,6,8,8,9
(Frequency means number of times that the heading above occurs)
Sum: 50 (add them up)
Mean: 50/8=6.25 (Divide the sum by number of terms)
Answer: List: 4,4,5,6,6,8,8,9
Sum: 50
Mean: 6.25
Step-by-step explanation: just trying to make it simple:)
There are three bags each containing 4 balls. Bag 1: three red balls, one blue ball. Bag 2: four red balls. Bag 3: two red balls, two blue balls.
What is the probability that the selected ball is from *bag 1* and is a *red ball*?
Answer: the bag 33.33 ect and the selecting of a red ball is 90%
Step-by-step explanation:
if a bag had three red balls, one blue ball and there are four ball intotal you would most likely get a red ball out of blue the other 10% is the blue ball and for the bags answer is just 100 divided by 3
a ladder is 13 feet long and leans up against he side of a house. the house and the ground form a right angle. The bottom of the ladder is 5 feet from the house.
what is the distance between the ground and the top of the ladder, in feet?
This theorem states that [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse of a triangle and a and b are the legs (the other two sides).
SolutionAs we can see from the image, we are given the lengths of the hypotenuse and one of the legs. Now, we must find x, the length of the other leg.
[tex]a^2+b^2=c^2[/tex]
Plug in the given lengths:
[tex]5^2+b^2=13^2[/tex]
Solve for b:
[tex]b=-12,12[/tex]
Since length cannot be negative, we know that b must be equal to 12.
Answer
x = 12 ft
The Pythagorean Theorem
This theorem states that , where c is the hypotenuse of a triangle and a and b are the legs (the other two sides).
Solution
As we can see from the image, we are given the lengths of the hypotenuse and one of the legs. Now, we must find x, the length of the other leg.
Plug in the given lengths:
Solve for b:
Since length cannot be negative, we know that b must be equal to 12.
Answer
x = 12 ft
Can someone please explain this to me or help me understand it?? It’s in module3
Answer:
Step-by-step explanation:
Basically what you are doing is using the numbers from the first table to fill in the second table. To solve for the volume multiply the length, width, and height together of each size of the tank and fill in the volume box on the table. To solve for the capacity you're going to simply convert the volume which will be in cm^3 into Liters. If you can use a calculator for that thats great! If not just take what you have for the volume and divide it by 1000. To solve for the surface area you need three parts to add together. Width times the height, length times the height, and width times the length. Take those three components and then at them all together, and once you have that multiply that all by two.
Hope this helps!
Answer:
1st question answer in screeshoot
2nd answer
a. height of rectangular container = 6.6 cm
b. 4.25 L of more water is required to fill the container.
c. 37.03% percentage of the tank is filled when it contains 2.5 L of water
Step-by-step explanation:
1st QUESTION
i) Volume of small tank = l x b x h
= 24 ×18×15
Volume of small tank = 6480 cm³
Capacity of 1L small tank = 1000 cm³
Capacity of 6480 cm³ small tank = 6480 ÷ 1000 = 6.48 L
Total Surface Area of small tank = 2 (lb+bh+hl)
= 2 ([24×18] + [18×15] + [15×24])
= 2 (432+270+360)
= 2 (1062)
Total Surface Area of small tank = 2124 cm³
Curved Surface Area of small tank = 2(l+b) ×h
= 2 (24+18) ×15
= 2×42×15
Curved Surface Area of small tank = 1260 cm³
ii) Volume of medium tank = l x b x h
= 30 ×21×20
Volume of medium tank = 12600 cm³
Capacity of 1L medium tank = 1000 cm³
Capacity of 12600 cm³ medium tank = 12600 ÷ 1000 = 12.6 L
Total Surface Area of medium tank = 2 (lb+bh+hl)
= 2 ([30×21] + [21×20] + [20×30])
= 2 (630+420+600)
= 2 (1650)
Total Surface Area of medium tank = 3300 cm³
Curved Surface Area of medium tank = 2(l+b) ×h
= 2 (30+21) ×20
= 2×51×20
Curved Surface Area of medium tank = 2040 cm³
iii) Volume of large tank = l x b x h
= 36 ×24×25
Volume of large tank = 21600 cm³
Capacity of 1L large tank = 1000 cm³
Capacity of 21600 cm³ large tank = 12600 ÷ 1000 = 21.6 L
Total Surface Area of large tank = 2 (lb+bh+hl)
= 2 ([36×24] + [24×25] + [25×36])
= 2 (864+600+900)
= 2 (2364)
Total Surface Area of large tank = 4728 cm³
Curved Surface Area of large tank = 2(l+b) ×h
= 2 (36+24) ×25
= 2×60×25
Curved Surface Area of large tank = 3000 cm³
iv) Volume of extra large tank = l x b x h
= 40 ×27×30
Volume of extra large tank = 32400 cm³
Capacity of 1L extra large tank = 1000 cm³
Capacity of 32400 cm³ extra large tank = 32400 ÷ 1000 = 32.4 L
Total Surface Area of extra large tank = 2 (lb+bh+hl)
= 2 ([40×27] + [27×30] + [30×40])
= 2 (1080+810+1200)
= 2 (3090)
Total Surface Area of extra large tank = 6180 cm³
Curved Surface Area of extra large tank = 2(l+b) ×h
= 2 (40+27) ×30
= 2×67×30
Curved Surface Area of extra large tank = 4020 cm³
2. QUESTION
a. Volume of rectangular container = l x b x h
height of rectangular container = [tex]\frac{Volume 0f rectangular container}{ l X b }[/tex]--------(i)
as we know 1L = 1000 cm³
Volume of 2.5 L rectangular container = 2500 cm³
length of container (l)= 15 cm
width/breadth of container(b)=25cm
putting values in equation (i)
height of rectangular container = [tex]\frac{2500}{15X25}[/tex]
height of rectangular container =[tex]\frac{2500}{375}[/tex]
height of rectangular container = 6.6 cm
b. Volume of new rectangular container = l x b x h-----------(ii)
length of container (l)= 15 cm
width/breadth of container(b)=25cm
height of container (h) = 18 cm
now putting values in equation (ii)
Volume of rectangular container = 15×25×18
Volume of new rectangular container = 6750 cm³
Volume of old rectangular container = 2500 cm³
difference = Volume of new rectangular container- Volume of old rectangular container
difference = 6750 - 2500
difference = 4250 cm³
as we know 1L = 1000 cm³
difference = 4.25 L
c. Percentage filled = (Volume of water / Total capacity of tank) × 100--(iii)
we know 1 L = 1000 cm³
Volume of water = 2.5 liters = 2500 cm³
Total capacity of tank = 6.75 liters = 6750 cm³
Now putting values in equation (iii)
Percentage filled = (2500 cm³ / 6750 cm³) × 100
Percentage filled = 37.03%
Solve and explain each?
Answer:
Step-by-step explanation:
First, you need to know all the numbers. 4 occurs twice, 5 occurs once, 6 occurs twice, 7 doesn't occur, 8 occurs twice, and 9 occurs once. So, if you laid it out, it would look like this: 4,4,5,6,6,8,8,9.
So to find the sum, you add all of those together which will give you 50.
To find the mean, you will need to find the sum (50) and divide that by the number of values which can be shown as : 50/8 or 6 1/4.
So, the sum would be 50 and the mean would be 6 1/4.
A quadratic function is defined by f(x) = x^2 - 8x - 4 Which expression also defines f and best reveals the maximum or minimum of the function?
Answer: D
Step-by-step explanation:
(x-4)²-20
(x-4)(x-4)-20
(x^2)-8x+16-20
= (x^2)-8x-4
D is the same equation as in the question, just written in another form (they are equal). In this form (vertex), the vertex is (h,k), which is easily found in this equation. The vertex reveals the maximum or minimum. The vertex in this problem is (4,-20) because vertex form is f(x)=a(x-h)^2 + k.
Please Help me! Please complete everything! Kiki’s grandmother gives her two empty piggy banks. Kiki decides to add 1
penny to Piggy Bank 1 each day. She also decides to add 2 pennies to
Piggy Bank 2 each day. Day 1 is completed for you.
(a)Complete this table to show how many pennies are in the piggy banks
for the first five days that Kiki has them
Answer:There are 15 Pennie’s in the piggy banks
Step-by-step explanation:
X=1,2,3,4,5
Y=2,4,6,8,10
Total pennies=15
This graph represents a linear function
select the equation represented by the graph
Answer: [tex]y = \frac{1}{4} x - 1[/tex]
Step-by-step explanation: In general, know that the equation for a linear graph is [tex]y = mx + b[/tex], where
m = [tex]\frac{rise}{run}[/tex] = the slope of the linear functionb = the y intercept.In our case,
m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{1}{4}[/tex]b = -1Solve and explain each?
Answer:
Sum = 4(2) + 5(1) + 6(2) + 7(0) + 8(2) + 9(1)
= 8 + 5 + 12 + 0 + 16 + 9
= 50
Mean = Sum/Frequency
= 50/8
= 6.25 rings
Answer:
Sum: 50Mean: 6.25Step-by-step explanation:
You want the Sum and Mean of the number of rings as listed in the given table.
FrequencyThe "frequency" line tells you the number of times the value above is included in the list. The expanded list of number of rings, taking frequency into account, is ...
{4, 4, 5, 6, 6, 8, 8, 9}
The sum of these numbers is 50.
The average of these 8 numbers is 50/8 = 6.25.
Sum: 50Mean: 6.25<95141404393>
The double dot plot shows the runs scored per game by two baseball teams during a 10-game season. Compare the populations using measures of center and variation. Round your answers to the nearest tenth.
Mean of team A < Mean of team B
MAD of team A < MAD of team B
Now, We can simplify as,
The double dot plot shows the runs scored per game by two baseball teams during a 10 game seasons.
Now, We can find the value of mean as,
For team A,
Mean = (2 x 1 + 3 x 1 + 4 x 4 + 5x 2 + 6 x 1 + 7 x 1) / 10
Mean = (2 + 3 + 16 + 10 + 6 + 7) / 10
Mean = 44 / 10
Mean = 4.4
For team B;
Mean = (2 x 1 + 5 x 2 + 6 x 4 + 7 x 2 + 9 x 1) / 10
Mean = 59/10
Mean = 5.9
MAD for both team are,
For team A;
MAD = |4.4 - 2| + |4.4 - 3| + 4 |4.4 - 4| + 2 |4.4 - 5| + |4.4 - 6| + |4.4 - 7| / 10
MAD = 2.4 + 1.4 + 1.6 + 1.2 + 1.6 + 2.6 / 10
MAD = 1.08
For team B;
MAD = |5.9 - 2| + 2|5.9 - 5| + 4 |5.9 - 6| + 2 |5.9 - 7| + |5.9 - 9| / 10
MAD = 3.9 + 1.8 + 0.4 + 2.2 + 3.1 / 10
MAD = 1.14
Hence,
Mean of team A < Mean of team B
MAD of team A < MAD of team B
To learn more about Scatter Plot visit:
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20 points to whoever gets these right!! <3
Answer:
1st one 8/20
Step-by-step explanation:
15. The product of two whole numbers is always a whole number. Verify this statement
with two examples.
The product of two whole numbers is always a whole number i.e. if 'a' and 'b' are any two whole numbers, their product will also be a whole number.
The multiplication of any two numbers can be expressed as the repeated addition of one number. So, for example, if we add a whole number to itself again and again, then we will definitely be left with the result of a whole number.
Let's assume
a = 2, b = 3.
a × b = 2 × 3 = 6
This is the same thing as adding '2' three times to itself, which will result in a whole number, which is 6 in this case.
Let's take another example 0 and 7. The product of these numbers is:
a = 0, b = 7
a × b = 0 × 7 = 0
As we know, 0 is also a whole number. Through these examples, we can understand that the product of two whole numbers is always a whole number.
To know more about whole numbers, visit :
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Answer: Yes, the product of two whole numbers is always a whole number.
Step-by-step explanation:
Example 1:
Let's take the whole numbers 4 and 3.
The product of 4 and 3 is 12, which is also a whole number.
4 x 3 = 12
Example 2:
Now let's take the whole numbers 7 and 2.
The product of 7 and 2 is 14, which is also a whole number.
7 x 2 = 14
Whole numbers include all positive numbers starting from zero and continuing indefinitely in the positive direction. Whole numbers do not include fractions, decimals, or negative numbers. Example- 0,1,2...
To learn more about whole numbers:
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Help!!!!!!!!
For which data set is mean the best measure of central tendency?
A: 94, 98, 96, 100, 97
B: 54, 60, 58, 3, 64
C: 26, 29, 71, 28, 71
D: 5, 5, 5, 301, 5
Answer: C
Step-by-step explanation:
Median is not accurate, and mode isn't either. 26 and 71 are kind of far apart, but not too far, and there are two 71s. This makes the average an accurate representation.
A is best represented by median, since the numbers have such a small range.
B and D each have one number that's an outlier, so the average wouldn't accurately represent it.
Hope this helps!
