Answer:
The speed of the bus is 74.242 kilometers per hour.
Step-by-step explanation:
Let suppose that bus runs at constant speed and that speed is measured in kilometers per hour. Then, the speed of the bus ([tex]v[/tex]), in kiometers per hour, is determined by following kinematic expression:
[tex]v = \frac{s}{t}[/tex] (1)
Where:
[tex]s[/tex] - Travelled distance, in kilometers.
[tex]t[/tex] - Time, in hours.
If we know that [tex]s = 2.45\,km[/tex] and [tex]t = 0.033\,h[/tex], then the speed of the bus is:
[tex]v = \frac{s}{t}[/tex]
[tex]v = 74.242\,\frac{km}{h}[/tex]
The speed of the bus is 74.242 kilometers per hour.
A vessel without a lid has the shape of a cylinder. The height of the vessel is 1.5 m, and the diameter of the base represents 40% of the height. Determine if 1 kg of paint is enough to completely paint the vessel inside and out, if it is known that for 1 square meter of surface 150g of paint is consumed.
Answer:
Yes, 1 kg of paint is enough to completely paint the inside and outside surfaces of the vessel.
Step-by-step explanation:
For the given vessel without a lid,
diameter = 0.4 x 1.5
= 0.6 m
radius = [tex]\frac{diameter}{2}[/tex] = [tex]\frac{0.6}{2}[/tex]
= 0.3 m
Total external surface area of the vessel = 2[tex]\pi[/tex]rh + [tex]\pi[/tex][tex]r^{2}[/tex]
= [2 x [tex]\frac{22}{7}[/tex] x 0.3 x 1.5] + [[tex]\frac{22}{7}[/tex] x [tex](0.3)^{2}[/tex]]
= 2.8286 + 0.2829
= 3.1112
Total external surface area of the vessel is 3.1112 square meter.
Total internal and external surface area = 2 x 3.1112
= 6.2224 [tex]m^{2}[/tex]
But for 1 square meter, 150 g of paint is consumed. Thus;
for 6.2224 [tex]m^{2}[/tex] = 6.2224 x 150 g
= 933.36 g
Thus, 6.2224 [tex]m^{2}[/tex] of area would require 933.36 g of paint.
So that,
[tex]\frac{933.36}{1000}[/tex] = 0.93336 kg
Therefore, 1 kg of paint is enough to completely paint the inside and outside surfaces of the vessel.
It took the paramedics 840 seconds to arrive at the scene. How many minutes did it take for the paramedics to arrive? (Round to the nearest minute, if necessary.)
Answer:
14 min
Step-by-step explanation:
Dividing 840 seconds by (60 sec / 1 min) results in 14 minutes.
( (60 sec / 1 min) is a conversion factor, sec to min or min to sec.)
Answer:
14 minutes
Step-by-step explanation:
840/60 = 14
***PLEASE HELP***
The U.S. Mint has as specification that pennies have a mean weight of 2.5 g. A sample of 37 new pennies have a mean weight of 2.49910 g and a standard deviation of 0.01648 g. Use a 0.05 significance level to test the claim that this sample is from a population with a mean weight equal to 2.5 g. Use Table A-3 to find the range of values for the P-value.
0.10 < P-value < 0.20
P-value > 0.20
0.05 < P-value < 0.10
P-value > 0.10
Answer:
ITS THE 3RD CHOICE
Step-by-step explanation:
JUST DID THIS IN FLVS :3
Answer:
Step-by-step explanation:
Its the second choice "P-value > 0.20", the other guy just sold me....
find the factors of each number. Write the common factor ( CF ) and then state the greatest common factor ( GCF) .
Given:
Two numbers are 12 and 21
To find:
The factors of 12 and 21, then find the common factor and the greatest common factor.
Solution:
Two numbers are 12 and 21. The prime factors of these two numbers are
[tex]12=2\times 2\times 3[/tex]
[tex]21=3\times 7[/tex]
From the above factorization, it is clear that the factor 3 is common in both. So,
Common factor (CF) = 3
Only 3 is common in factorization of both. So,
Greatest common factor (GCF) = 3
Therefore, the common factor is 3 and the greatest common factor is also 3.
Help!!!!!! Help!!!!
Answer:
24°
Step-by-step explanation:
[tex]r \degree = 180 \degree - (34 + 122) \degree \\(vertical \: \angle s) \\ \\ r \degree = 180 \degree - 156 \degree \\ \\ r \degree = 24 \degree \\ \\ r = 24[/tex]
Answer and Step-by-step explanation:
The answer is 24 degrees.
We see the angle 34 and 122. To find that angle in between, we subtract those numbers from 180.
180 - 34 - 122 = 24 = r
By the vertical angles theorem, r is equal to 24.
#teamtrees #PAW (Plant And Water)
If r = 12 units and x = 13 units, then what is the volume of the cylinder shown above?
Answer:
2,016 pi cubic units
Step-by-step explanation:
Find the missing side length.
Answer:
4
Step-by-step explanation:
(6√5)²+x²=14²
36(5)+x²=196
180+x²=196
x²=196-180
x²=16
x=√16
x=4
Could the table x,y pairs have been generated by a linear function x 1,2,3,4 y 3,5,7,9
a smart phone prices at 235 was on sale for 195. what was the percent discount.
will mark brainliest!! pls help if you can!!
Answer:
The answer should be 120.512821\%
Step-by-step explanation:
1 To convert the fraction to a decimal, divide the numerator by the denominator.
235÷195
2 Use long division.
1.205128
3 To convert to a percent, multiply the decimal by 100.
1.205128×100=120.512821
4 Add the percent sign.
120.512821%
The function g(x) is defined as shown.
StartLayout enlarged left-brace 1st row 1st column 3x minus 2, 2nd column negative 4 less-than-or-equal-to x less-than negative 2 2nd row 1st column negative x minus 1, 2nd column negative 2 less-than-or-equal-to x less-than 1 3rd row 1st column 6, 2nd column 1 less-than-or-equal-to x less-than-or-equal-to 3 EndLayout
What is the value of g(0)?
Answer:
B. -1
Step-by-step explanation:
I got it right on Edge.
Answer:
f(−3) =
✔ –5/2
f(−1) =
✔ 3/2
f(3) =
✔ 3/4
Step-by-step explanation:
got it right on edg 2022. make me brainliest
help me out branniest to whoever rught
Answer:
(0,-9), x = 0, (-3,0), (3,0), domain, -9
Step-by-step explanation:
Complete the square and you can read everything off the equation,
y = x^2 - 9
= (x - 0)^2 - 9
Vertex : (0,-9)
Axis of symmetry: x = 0
x-intercepts: x^2 = 9 -> x = ±3
Left x-intercept: (-3,0)
right x-intercept: (3,0)
Since the function is well-defined for any x-values,
we can say that its domain is the set of all real numbers.
Since the minimum point of the graph is (0,-9),
The range will be greater than or equal to -9.
Answer:
-
Step-by-step explanation:
-
A fruit stand has 200 apples. They order 19 bags with 12 apple each. They sell 42 bags that have 8 apples each. The owner says they now have about 120 apples.
Is the owner's estimate reasonable?
The owner’s answer is reasonable. They ordered about 320 apples and sold about 240 so they should have about 80 fewer apples than they started with.
The owner’s estimate is not reasonable. They ordered about 320 apples and sold about 240 so they should have about 80 more apples than they started with.
The owner’s estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with.
The owner’s estimate is not reasonable. They ordered about 240 apples and sold about 240 so they should have about the same number of apples as they started with.
PLEASE HELP WILL GIVE BRAINLIEST!
y= 3x — 5
y=6x — 8
solve with elimination pls
Answer:
Point form: (1,-2)
Equation form: x=1 y= -2
Step-by-step explanation:
Hope it helps
Find the vertex of the graph! Help please...thank youuuu!!!! <3
Answer:
S(-2,12)
y= -2(x+2)²+12
Location of coordinate axes:
y=0 → x= -2±√6 (-2-√6,0) (-2+√6,0)
x=0 → y=4 (0,4)
Please help brainiest to whoever
Answer:
I. The width is 43.5 inches.
II. The length is 24.5 inches.
Step-by-step explanation:
Let the length and width of the rectangle be L & W respectively.
Given the following data;
Perimeter of rectangle = 136 inches
Translating the word problem into an algebraic expression, we have;
L = W - 19 ......equation 1
Perimeter of rectangle = 2(L + W) ......equation 2
To find the dimensions of the rectangle;
136 = 2(L + W)
Substituting eqn 1 into eqn 2, we have;
136 = 2(W - 19 + W)
136 = 2(2W - 19)
136 = 4W - 38
4W = 136 + 38
4W = 174
W = 174/4
W = 43.5 inches
To find the length;
L = W - 19
L = 43.5 - 19
L = 24.5 inches
help please and thank you no spamming
Maine has a cold climate in the winter. Which statements about the probability of temperatures falling below 32 degrees Fahrenheit in Maine during the month of January is most likely true?
1. The probability could be -1
2. The probability is 100
3. The probability is closer to 1 than to 0
4. The probability cannot be determined before February
Please help!!
please help asap! will give 20 points
Answer:
its 84 I did the math for you
the price of the cup of coffee has dropped to 2.50 today. yesterday's price was 2.75. find the decrease percentage and round to the nearest tenth
What is the function of the graphed below?
please help, whoever gets it right I will mark brainliest.
Answer:
One and Four
Step-by-step explanation:
Answer:
choices 1, 3, & 4 are true, 2 is not
Step-by-step explanation:
Who wants a brainy list? plz plz plzzzzzzz help PLEASE HELP NOW!!!!!
Aurora owns a toy factory. She is projecting various business costs and needs to compute the total cost of buying
different types of business insurance. Using the information in the table, compute the total cost of the insurance that
Aurora needs.
Answer: 1st one is 1300
2nd one is 2100
Step-by-step explanation:
1st one is set on liability and property insurance
2nd one is set on interruption and auto insurance
How do I solve this problem?
6x + 9 <7x
Answer:
x > 9
Step-by-step explanation:
6x + 9 < 7x .
-6x -6x <---- Subtract 6x from both sides.
9 < x <----- 7x - 6x = 1x (which can also be written as just x)
Therefore the answer is x > 9.
es el punto donde coinciden tres aristas
An art class is making paperweights out of plaster. They use a mold in the shape of a rectangular prism. (2 1/4m, 2 1/2m, and 1 3/4m represents the size of the prism)
How much plaster will it take to completely fill the mold?
9.84 m³ plaster will it take to completely fill the mold.
What is Volume?The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
Cubic units are used to quantify a solid's volume. For instance, the volume will be given in cubic metres if the dimensions are given in metres. The International System of Units uses this as the reference unit for volume (SI).
We have,
A rectangular prism. (2 1/4m, 2 1/2m, and 1 3/4m represents the size of the prism).
So, the capacity or Volume of mold is
V= l w h
Now, w= 2 1/2 = 5/2 = 2.5 m
and, h=1 3/4 = 7/4 = 1.75 m
and, l= 2 1/4 = 9/4 = 2.25 m
Then, the Volume is
V= 2.5 x 1.75 x 2.25
V = 9.84 m³
Thus, the required volume is 9.84 m³.
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ5
12 + x/4 > 20
Thank you if you answer!! please just put the answer
Answer:
The answer is x > 32.
Step-by-step explanation:
1) Subtract 12 from both sides.
[tex] \frac{x}{4} > 20 - 12[/tex]
2) Simplify 20 - 12 to 8.
[tex] \frac{x}{4} > 8[/tex]
3) Multiply both sides by 4.
[tex]x > 8 \times 4[/tex]
4) Simplify 8 × 4 to 32.
[tex]x > 32[/tex]
Therefor, the answer is x > 32.
What is the solution set of the equation (x – 2)(x – a) = 0?
A –2 and a
B –2 and –a
C 2 and a
D 2 and –a
E 2 only
what is the value of x and m?
Answer:
x = 15
m = 15
Step-by-step explanation:
mark brainliest
ANSWER ASAPPPP SAVE MEEEEEE
Answer:
this is all on you i cant do thatXD
Step-by-step explanation: