The distance it takes a truck to stop can be modeled by the function Image description d = stopping distance in feet v = initial velocity in miles per hour f = a constant related to friction When the truck's initial velocity on dry pavement is 40 mph, its stopping distance is 138 ft. Determine the value of f, rounded to the nearest hundredth.
Answer: 0.39
Step-by-step explanation:
We are required to determine the the value of f, rounded to the nearest hundredth
The value of f, rounded to the nearest hundredth is 0.39
Given function:
[tex]d(v) = \frac{2.15 {v}^{2} }{64.4f} [/tex]
Where,
d = stopping distance in feet
v = initial velocity in miles per hour
f = a constant related to friction
When
v = 40 mph
d = 138 ft
f = ?
[tex]d(v) = \frac{2.15 {v}^{2} }{64.4f} [/tex]
[tex]138= \frac{2.15 {(40)}^{2} }{64.4f} [/tex]
138(64.4f) = 2.15(1600)
8,887.2f = 3440
f = 3440 / 8,887.2
f = 0.3870735439733
Approximately to the nearest hundredth f = 0.39
Therefore, the value of f, rounded to the nearest hundredth is 0.39
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Vicente has a prism- like water tank whose base area is 1.2 square meters. He bought 6 goldfish at the store and the store owner told him to make sure their density in the tank isn’t more than 4 fish per cubic meter. What is the lowest possible height so the fish aren’t too crowded
Answer: 1.25 m
Step-by-step explanation:
Area of base = 1.2 m²
Number of gold fish = 6
Density of the tank should be = 4 fish/m³
Height of the tank= ?
4 fish = 1 m³
6 fish = 6/4 = 1.5 m³
Volume required for 6 fish is 1.5 m³
V = area of base x height (h)
1.5 = 1.2 x h
h = 1.25 m
Hence, height of the tank is equal to 1.25 m.
A bicycle wheel turns at 80 rpm. If the rider travels 27.227 m in 10 seconds, what is the radius of the wheels of the bicycle?
Answer:
2.042 meters
Step-by-step explanation:
We have that the angular speed is 80 rpm and we can calculate the linear speed, we know that the linear speed is equal to the radius times the angular speed, like this:
v = w * r
w = 80 rpm, but we must pass it to seconds, that is:
80/60 = 1,333 rps, that is, revolutions per second, to have the same time unit as the linear speed.
v = distance / time = 27,227 / 10 = 2.7227
therefore, the radius would be:
r = v / w = 2.7227 / 1,333
r = 2.042
Which means that the radius is 2.042 meters.
This recipe makes 5 portions of porridge. Complete the amount of each ingredient that is needed to make just 4 portions. Recipe: Serves 5 250 g oats 1.2 l milk 90 g sugar
Answer:
200g oats
0.96l milk
72g sugar
Step-by-step explanation:
250/5 * 4 = 50 *4 = 200g oats
1.2/5 * 4 = 0.96l milk
90/5 * 4= 18*4 = 72g sugar
4432 buttons are made in three hours it takes 6 hours to make enough buttons to fill three boxes. When box B has been filled there are 3363 buttons remaining box C holds half of the amount of button as box A how many are there in A than C
Answer:
Box A has 1121 buttons more than Box C
Step-by-step explanation:
4432 boxes are made in three hours
Then in six hours, we would be making double of this
The number of boxes made is 4432 * 2 = 8864 boxes
Now,
we have boxes A B C to fill
Filling box B, we have 3363 boxes left to fill A and B
Now C holds half of what A hold
so we can say the ratio of buttons in C to A is 1:2
The number of buttons in C would thus be
1/3 * 3363 = 1121
Number of buttons in A would be 2/3 * 3363 = 2 * 1121 = 2242 buttons
Now the number of buttons with which the buttons in A exceeds that in C would be 2242 -1121 = 1121 buttons
Identifying a proportion Which proportion resulted in the equation 3a = 7b
Answer:
a
Step-by-step explanation:
Identifying a proportion Which proportion resulted in the equation 3a = 7b
Answer:
B
Step-by-step explanation:
) Sarah donated one-tenth of her salary to an orphanage, one-third of her salary is spent on food, one-fourth of salary on rent and electricity and one-twentieth of her salary on the telephone. She donated some amount to the Prime Minister's relief fund for the pandemic affected victims. She was left with ₹ 3000. If her monthly salary is ₹ 30,000: Find the amount she donated to the Prime Minister's Relief Fund
Answer:
₹ 4000
Step-by-step explanation:
Sarah's salary =₹ 30000
one-tenth of her salary to an orphanage= 1/10*₹ 30000= ₹ 3000one-third of her salary is spent on food= 1/3*₹ 30000= ₹ 10000one-fourth of salary on rent and electricity =1/4*₹ 30000= ₹ 7500one-twentieth of her salary on the telephone= 1/12*₹ 30000= ₹ 2500donated some amount to the Prime Minister's relief fund = xShe was left with ₹ 3000.x= ₹ 30000- (₹ 3000+₹ 10000+₹ 7500+₹ 2500+₹ 3000)= ₹ 4000
Can someone please explain the math on this one to me? Thanks!
Assume that is takes an average of 3 man-hours to stack 1 ton of a particular item. In order to stack 36 tons in 6 hours, the number of people required is _____
Answer:
18 men = 36 tons in 6 hours
Step-by-step explanation:
3 men = 1 ton in 1 hour
6 men = 2 ton in 1 hour
9 men = 3 tons in 1 hour
with this you find a pattern
3 men = 2 tons in 2 hours
3 men = 3 tons in 3 hours
3 men = 6 tons in 6 hours
6 men = 12 tons in 6 hours
9 men = 18 tons in 6 hours
12 men = 24 tons in 6 hours
15 men = 30 tons in 6 hours
18 men = 36 tons in 6 hours
(This is how i worked it out)
Answer:
18 people
Step-by-step explanation:
Method A:
3 man-hours to stack 1 ton
36 tons is 36 times 1 ton, so it takes 36 times as long to stack.
36 * 3 man-hours to stack 36 * 1 ton, or
108 man-hours to stack 36 tons
To do the job in 6 hours instead of 108, you need to do 108/6 = 18 times as much work per hour, so you need 18 times as many people.
18 * 1 person = 18 people
Answer: 18 people
Method B:
1 person works 3 hours and stacks 1 ton. That same person works another 3 hours and stacks another ton. In a total of 6 hours, 1 person stacked 2 tons. Since you need 36 tons stacked in the same 6 hours, and 36 = 18 * 2, you need 18 times the number of people, so you need 18 people.
Language is a complex system that includes the ways we express ourselves, such as speaking or writing, and ways we receive information, such as listening and reading. a. true b. false
Answer: False, language is a more specific word.
Step-by-step explanation:
Language is a complex and structured system of communication.
This word particularly refers to the "artificial codes or ciphers" that humans use to communicate.
The thing in the sentence is more general than language, this refers to communication:
"Communication is a complex system that includes the ways we express ourselves, such as speaking or writing, and ways we receive information, such as listening and reading."
So the actual sentence is false.
Which of the following equations represents a proportional relationship?
A: y = 3x
B: y = 1/2x + 1
C: y = x/3 + 4
D: y = 2/5 - 5
Answer:
a
Step-by-step explanation:
y=3x
thus, a proportional relationship equation is y=kx .Where k is constant
On a coordinate plane, a straight line with a negative slope, labeled f of x, crosses the y-axis at (0, 4), and the x-axis at (4, 0). Which is true regarding the graphed function f(x)? f of 0 = 3 f of 5 = negative 1 f of 3 = 2 f of 2 = negative 2
Answer:
f of 5 equals negative 1
Step-by-step explanation:
equation- f(x) = -x + 4
f(5) = -5 + 4
f(5) = -1
Answer:
f(5)=-1
Step-by-step explanation:
All else being equal, a study with which of the following error ranges would be
the most reliable?
A. +-6 percentage points
B. +-15 percentage points
C. +-9 percentage points
D.+- 112 percentage points
The study with an error range of +-6 percentage points would be the most reliable.
As larger error ranges, such as options B, C, and D, indicate a greater degree of uncertainty and variability in the dat This reduces the reliability and precision of the study's findings.
So, when all other factors are equal, a study with a smaller error range, like with +-6 percentage points, would be considered more reliable.
Thus, with an error range of +-6 percentage points, has the smallest range.
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Isabella changes 700 euros to pounds sterling for her trip to England. The exchange rate is 1 euro = £0.72 How many pounds will she get?
Answer:
700/1=700
Th ratio is 700 times more so we multiply by 700
700 x 0.72 = 504
504 pounds
Hope this helps
Step-by-step explanation:
She will get 504 pounds by multiplying 700×0.72= 504.
What is the benefit of changing currency?Official currency substitution helps to promote fiscal and monetary discipline and thus greater macroeconomic stability and lower inflation rates, to lower real exchange rate volatility, and possibly to deepen the financial system.
Can you change the currency at the bank?
Many banks offer currency exchange to their customers. Though there may be a small fee, your bank or credit union will almost always be the best place to exchange currency (and the cheapest).
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Which rule represents the translation from the pre image, rhombus ABCD, to the image rhombus A'B'C'D' ?
Answer:
Square ABCD was translated using the rule (x, y) → (x - 4, y + 15) to form A'B'C'D'.
On a road trip you see a sign "350 km to Indianapolis". About how many hours will it
take you to drive to Indianapolis if you are traveling at 68 mi/h (1 mile 1.61 km).
Round your answer to the nearest hundredth.
Answer: 3.20 hours
Step-by-step explanation:
Hi, to answer this question, first we have to convert the kilometers into miles:
Since: 1 mile = 1.61 km
For 350km:
350 /1.61 = 217.39 miles
Next, we have to apply the next formula:
Time = distance / speed rateReplacing with the values given:
Time = 217.39 mi / 68 mi/h = 3.20 hours
Feel free to ask for more if needed or if you did not understand something
Which graph matches the equation y+3=2(x+3)?
Answer:
The leftmost graph [with the points (-3,-3) and (0,3)]
Step-by-step explanation:
y+3=2(x+3)
y+3=2x+6
y=2x+3
The y-intercept is 3, meaning that the line passes through the point (0,3), and it's slope is 2, so it travels 2 units up and 1 unit over. Thus the correct graph is the top left graph, with the two points (-3,-3) and (0,3).
The graph is considered as the creation of a diagram that depicts a relationship connecting two or more items, and further discussion can be defined as follows:
Given:
[tex]\bold{y+3=2(x+3)}[/tex]
To find:
graph=?
Solution:
[tex]\bold{y+3=2(x+3)}[/tex]
Solving the given equation:
[tex]\to \bold{y+3=2(x+3)}\\\\\to \bold{y+3=2x+6}\\\\\to \bold{y=2x+6-3}\\\\\to \bold{y=2x+3}\\\\[/tex]
In this, the y-intercept is 3, indicating that the line crosses through the point (0,3), and the slope is 2, showing that it moves 2 units up and 1 unit over. And as a result, the proper graph is the upper left graph, with two points [tex]\bold{(-3,-3)\ and\ (0,3)}[/tex].Please find the graph in the attached file.
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Vertical angles are always adjacent.
True False
Answer:
False
Step-by-step explanation:
Vertical angles are opposite to each other, so they are not adjacent.
which equation has no solution
A l4x-2l=-6
B l-2-xl=9
Cl3x+6l=6
Dl-2x+8l=0
Answer:
l4x-2l= -6 equation has no solution
Step-by-step explanation:
l4x-2l≥0
l4x-2l= -6 equation has no solution
There are 60 girls and 40 boys attending a test. It is known that 80% of the girls pass and 15% of the boys fail the test. Find the percentage of students fail.
helpppppp plz
Answer:
54%
Step-by-step explanation:
20% of 60 = 48
15% of 40 = 6
48 + 6 = 54 fail
What fraction is greater 6/8 or 3/2
Answer:
3/2
Step-by-step explanation:
3/2 is greater than 1. 6/8 is less than one.
Which statement below is the correct definition for denoting similar objects?
A. Similar objects have congruent angles and congruent sides
B. Similar objects have proportional angles and congruent sides
C. Similar objects have congruent angles and proportional sides.
D. Similar objects have proportional angles and proportional sides
Answer:
C. Similar objects have congruent angles and proportional sides.
Step-by-step explanation:
I took the test.
The correct option regarding the statement will be C. Similar objects have congruent angles and proportional sides.
It should be noted that similar objects are identical. Therefore, similar objects have congruent angles and proportional sides.
It should be noted that they don't have objects have congruent angles and congruent sides.
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if a sixth skateboard is added to the sample that has a price of $450, what happens to the standard deviation
Answer:
75
Step-by-step explanation:
Dave bought jeans at a store. • The jeans had an original price of $45.50 • The jeans were discounted 30% from the original price. • An 8% sales tax was added to the discounted price. What amount did Dave pay for the jeans?
Answer:$35.49
Step-by-step explanation:
1. Get sales tax from the original price
8/100*45.50=$3.64
2. Get the price after the discount which is 70% of the original price
45.50*70/100 = 31.85
3. Add the sales tax to the new price to get the amount paid
31.85+3.64= $35.49
Kelly bought a computer that was 20% off the regular price of $1,060. If a 7% sales tax was added to the cost of the computer, what was the total price Kelly paid for it?
Answer: $ 1361.04
Step-by-step explanation:
Discount will be 1060 * 20% = 212
Sales price 1060 + 212 = 1272
Tax 7% = 89.04
Kelly paid 1272 + 89.04 = 1361.04
In the diagram below, the measure of angle 3 is 140, what is the measure of angle 5 ?
I need help with question number 2.
Help me please !
Answer:
2
Step-by-step explanation:
Angles 3 and 5 are alternate interior angles because they are inside the lines and are on opposite sides of the transversal.
This means they are equal to one another, so 2 is correct because they are alternate interior and angle 5 will be 140 degrees.
There are 130 people in a sport centre. 73 people use the gym. 62 people use the swimming pool. 58 people use the track. 22 people use the gym and the pool. 29 people use the pool and the track. 25 people use the gym and the track. 11 people use all three facilities. A person is selected at random. What is the probability that this person doesn't use any facility
To find : Probability that person doesn't use any facility
Given : Total people = 130 ; People using gym (G), Swimming Pool (S), Track (T) = 73, 62, 58 respectively. People using G & P, P & T, G & T = 22, 29, 25. People using P & G & T = 11
So : Prob (G) = 73/ 130 , Prob (S) = 62/130 , Prob (T) = 58/130
P (G ∩ P) = 22 / 130 , P (P ∩ T) = 29 / 130 , P (G ∩ T) = 25 / 130 , P (P ∩ G ∩ T) = 11 / 130
Prob [ Person uses either P or G or T ] :
P (PUGUT) = P(G) + P (S) + P (T) - P (G ∩ P) - P (P ∩ T) - P (G ∩ T) - 2 P (P∩G∩T) = ( 73 + 62 + 58 - 22 - 29 - 25 - 22) / 130 = 95 / 130
Prob [Person uses neither P or G or T] : 1 - Pr [Person uses either P or G or T] = 1 - P (PUGUT) = 1 - (95 / 130) = 35 / 130
Hence, Probability that person doesn't use any facility = 35 / 130
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Answer:flying gorillla
Step-by-step explanation:because no
How much is (2.5-3 minutes)
Answer:
150 - 180 seconds
Step-by-step explanation:
Let change minutes to seconds
1 minute = 60 seconds
2.5 minutes * 60 =150 seconds
3 minutes * 60 = 180 seconds
150 - 180 seconds
I need help urgently
A panda weighed 8 pounds and gains 12 pounds every month. What is the vertical intercept (y-intercept) and what does it mean in the context of the situation?Immersive Reader
Answer:
y=8x+12
Step-by-step explanation:
Please help! Correct answer only, please! I need to finish this assignment this week. What are the dimensions of the matrix shown below? A. 3 X 15 B. 5 X 3 C. 15 X 3 D. 3 X 5
Answer:
3 x 5
Step-by-step explanation:
The dimension of a matrix is normally represented in form of:
number of rows x number of columns
In the given matrix, there are 3 rows and 5 columns.
=> The dimension of this matrix is 3 x 5
=> Option D is correct
Hope this helps!