Find the velocity of the car at the end of a drag race. Round to the nearest whole number.
Answers
Answer:
183 miles per hour.
Explanation:
The estimated velocity(v) at the end of a drag race is modeled using the formula below:
[tex]v=234\sqrt[3]{\frac{p}{w}}[/tex]Given:
• The horsepower, p = 1311
,• The weight (in pounds), w = 2744 pounds.
Substitute into the formula above:
[tex]\begin{gathered} v=234\sqrt[3]{\frac{1311}{2744}}=182.9 \\ v\approx183\text{ miles per hour} \end{gathered}[/tex]The velocity is approximately 183 miles per hour.
Related Questions
Which of the following values are solutions to the inequality 9 ≤ -7+ 4x?
I. - 4
II. O
III. 4
Answers
Answer: Inequality Form: x ≥ 4
lll. 4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
Your answer is x ≥ 4
Step-by-step explanation:
a) Simplify both sides of the inequality.
9 ≤ 4x − 7
b) Flip the equation.
4x − 7 ≥ 9
c) Add 7 to both sides.
4x − 7 + 7 ≥ 9 + 7
4x ≥ 16
d) Divide both sides by 4.
4x/4 ≥ 14/4
x ≥ 4
Given the costs for several of the same grocery items in two countries, find the rate of the total cost for these items in the United Kingdom to that of the total cost of
items in Australia.
Answers
Using ratios and assuming the given values, the rate of the total cost for items in the United Kingdom to that of the total cost of items in Australia is 2/3.
How do you calculate the ratio?A ratio shows how often one number is contained in another. The ratio of oranges to lemons, for instance, is eight to six if there are eight oranges and six lemons in a bowl of fruit.The ratio of oranges to all fruits is 8:14, whereas the ratio of lemons to oranges is 6:8.A ratio is a comparison of two items when it is expressed in numbers or amounts. For instance, the boy-to-girl ratio in a room with 10 males and thirty girls is 1:3, or one to three.Assume that the costs are:
United Kingdom = 10.78Australia = 21.23The ratio would be:
Ratio = United Kingdom: AustraliaSo, we have:
Ratio = 10.78:21.23Simplify:
Ratio = 2 : 3Express as rate
Rate = 2/3Therefore, using ratios and assuming the given values, the rate of the total cost for items in the United Kingdom to that of the total cost of items in Australia is 2/3.
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Paige makes bracelets and sells them online for $15 and $20. She buys all of her supplies in bulk. The table shows her sales for the last 3 months. During the 3-month period represented by the table, she ordered supplies twice. Each time, she spent $292.58 on supplies.
Answers
Paige's profit for the three-month period given the information provided in the question is $569.84.
What is the profit?
Profit is the difference between total revenue and total cost. Revenue is the product of total units sold and the price per output.
Profit = revenue - cost
Revenue from selling the $15 bracelet = total bracelets sold for the 3 months x price of the bracelet
(8 + 11 + 22) x 15
41 x $15 = $615
Revenue from selling the $20 bracelet = total bracelets sold for the 3 months x price of the bracelet
(7 + 6 + 14) x $20
27 x $20 = $540
Total revenue = $615 + $540 = $1,155
Total cost = $292.58 x 2 = $585.16
Profit = $1,155 - $585.16 = $569.84
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the dial on a combination lock contains markings which represent the numbers from 0 to 39. how many 3- number combinations are possible if the first and the second must be different odd numbers, while the third number must not be an odd number?
Answers
The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.
The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.
How many possible three-number combinations are there?
You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.
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The length of a rectangle is 5 feet more than the width. The perimeter of the rectangle is 58 feet. Find the length & width of the rectangle.
Answers
Answer:
Length: 17 ft. Width: 12 ft.
Step-by-step explanation:
x + 5 + x +5 + x + x = 58
4x + 10 = 58
4x = 48
x = 12
12 + 5 = 17
What graph represents the system of linear inequalities? y>3x+1 y≤−2x−4
Answers
Answer:
Step-by-step explanation:
y>3x+1
y≤-2x-4
Which statement about the data in the table is true?
O The data represent a proportional relationship, and the constant of proportionality is $10.
The data do not represent a proportional relationship, but the rate of change of the data is $5 per shirt.
There is not a constant rate of change for these data.
The data represent a proportional relationship, and the constant of proportionality is $5.
Answers
B) The data does not represent a proportional relation, but it has constant rate of change of $5 per shirt.
A)
Take number of T-shirts up to 3 and calculate their proportions.
2/1 = 15/10 = 1.5 (3/2) = 20/15 = 1.33
Clearly the rate of T- shirts is not proportional.
B)
From option (A) we found the given data is not proportional but from the table given in question the rate of change of T- shirts is indeed $5.
C)
No, there is a constant rate of change of $5 as shown in the table below.
D)
No, the data does not represent a constant proportionality. The rate varies.
2/1 = 15/10 = 1.5 (3/2) = 20/15 = 1.33
What is rate of change ?Rate of change is the rate that describes how one quantity changes relative to another quantity. If x is the independent variable and y is the dependent variable, then
rate of change change=change in y / change x
Rate of change can be positive or negative. This corresponds to an increase or decrease in the y-value between two data points. If a quantity does not change over time, it is called zero rate of change.
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if the flow rate in an artery has been reduced to 8.5% of its normal value by a blood clot and the average pressure difference has increased by 20.5%, what percent of the original is the radius of the reduced artery?
Answers
Percent of the original is the radius of the reduced artery is 0.070 times the original radius.
Given that,
A blood clot has lowered the flow rate in an artery to 8.5% of its usual value, and the average pressure difference has increased by 20.5%.
p1 = 8.5 % ,
p2 = 20.5 %
The equation is using here is From Poiseuille's equation
Q = \Delta p \pi r4 / 8 \eta L
now
Q1 = \Delta p1\pi r14 / 8 \eta L
and
Q2 = \Delta p2\pi r24 / 8 \eta L
Q1 = \Delta p1\pi r14 / 8 \eta L / Q2 = \Delta p2\pi r24 / 8 \eta L
Q1 / Q2 = \Delta p1 ro4 / \Delta p2 r24
r24 = ( 0.085 Q1 / Q1 ) ( \Delta p1 / \Delta p1 + 0.20 \Delta p1 ) ro4
r24 = 0.085 X ( 1 / ( 1 + 0.20 ) ro4
r2 = 0.070 ro
As a result, the shortened artery's radius is 0.070 times its original radius, or percent of the original.
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Solve each equation.
4/7 v = -8 2/3
Answers
[tex] \frac{4}{7} v = - \frac{26}{3} \\ - 26(7) = 4v(3) \\ - 182 = 12v \\ \frac{ - 182}{12} = \frac{12v}{12} \\ v = - 15 \frac{2}{12} \\ v = - 15 \frac{1}{6} [/tex]
BE AWARE I USED CROSS MULTIPLICATION.
For each equation, determine whether it shows a direct variation (that is, shows directly proportional variables).If it does, find the constant of variation and write it in simplest form.-Click on Picture for the questions! More understandable-
Answers
(a) 2y=8x
[tex]\begin{gathered} 2y=8x \\ y=\frac{8x}{2} \\ y=4x\Rightarrow y=kx\Rightarrow y\propto x\text{ \lbrack}direct\text{ }variation] \\ k=4 \end{gathered}[/tex](b) 7x=-2y-7 [ not direct variation ]
[tex]\begin{gathered} 7x=-2y-7 \\ 7x+7=-2y \\ 7(x+1)=-2y \\ (x+1)=\frac{-2y}{7} \\ x=\frac{-2y}{7}-1 \end{gathered}[/tex]We couldn't express in the form x=ky , hence variation is not direct. OR we can say we couldn't express in the form y=kx ....hence variation is not direct
NEED HELP ASAP THIS IS OVERDUE !!!
Answers
Answer:
A
Step-by-step explanation:
The slope goes up by 11 and over by 1.
Answer: D
Step-by-step explanation:
y= [tex]\frac{1}{55}[/tex]×
HELP ASAP PLSSSPLSPSLSPLSSSSSS
Graph g(x) = |x + 3|.
Answers
Answer:
Hope this helps!!
please help please pleaseeee
Answers
Answer: x=59
Step-by-step explanation:
360-296=(x-24)+29
64=x+5
59=x
If mDH =(11x + 7) degrees , mGF = (5x + 9) degrees , and mEF = (10x - 22) degrees, find mDH
Answers
For this problem we use the arcs and chords theorem we know that
[tex]\begin{gathered} \measuredangle H\text{EF=}\frac{1}{2}(mGF+mDH) \\ \text{Substituting }\measuredangle HEF=10x-22,\text{ mGF=5x+9 and mDH=11x+7 we get} \\ 10x-22=\frac{1}{2}(5x+9+11x+7) \end{gathered}[/tex]Solving for x we get:
[tex]\begin{gathered} 10x-22=\frac{1}{2}(16x+16)=8x+8 \\ 2x=30 \\ x=15 \end{gathered}[/tex]Finally, we substitute x for mDH=(11x+7) degrees=(11*15+7) degrees=172 degrees.
mDH=172 degrees.
ALTAThe graph shown compares the rent Andrew and Dave pay for renting bikes from different stores,Andrew's and Dave'sBike Rentalsу13DaveAndrew11Rent Paid (dollars)2319117HoursAfter how many hours would the amount Andrew and Dave pay for the rentals be equal?
Answers
We have the following:
The first thing is to calculate the equation by means of the graph.
For Andrew, we can see that he starts at $ 3 and every hour that passes, he charges $ 2, therefore the equation is:
[tex]y=3+2x[/tex]where x is the number of hours.
For Dave, we can see that he starts at $ 6 and every hour that passes, he charges $ 1.5, therefore the equation is:
[tex]y=6+1.5x[/tex]where x is the number of hours.
to calculate the number of hours when the value is equal, we must match the equations like this
[tex]\begin{gathered} 3+2x=6+1.5x \\ 2x-1.5x=6-3 \\ 0.5x=3 \\ x=\frac{3}{0.5}=6 \end{gathered}[/tex]Which means that at 6 hours they have the same price
PLEASE ANSWER ASAP GIVING CROWN (don't know what its called)
Which point is not included in the solution set for the inequality?
(–2, 1)
(1, 3)
(4, 3)
(5, –1)
Answers
Answer: The answer is B. At least that is what I think the answer would be.
Step-by-step explanation: I hope this helps.
reid took seven tests. on the first five tests that he took, he averaged $86$ points. on the last three tests, he averaged $95$ points. if he averaged $88$ points on all seven tests, how many points did he average on the last two tests?
Answers
The points that he average on the last two tests will be 93 points.
What is mean?A mean is the average of the set of numbers that are given.
On the first five tests that he took, he averaged 86 points. The total points will be:
= 86 × 5
= 430 points
He averaged 88 points on all seven tests. The total will be:
= (88 × 7)
= 616 points
The point average on the last two tests will be:
= (616 - 430)/2
= 186/2
= 93 points
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Writing the Equation of a Line in Different Forms
Write the equation of the line MN, which is formed by the
points M(-3, 5) and N(2, 0).
Step 1: Identify the slope. m = -1v
Step 2: Write the equation in point-slope form:
y-0= -1(x - 2)
y0 = -1(x + 2)
y-5=-1(x - 3)
y-5=-1(x + 3)
Answers
y - 5 = -1 ( x + 3 ) is Equation of a Lin in slope intercept form,.
What is in slope-intercept form?
Given the slope of the line and the intercept it forms with the y-axis, the slope intercept form in mathematics is one of the forms used to determine the equation of a straight line. Y = mx + b is the slope intercept form, where m is the slope of the straight line and b is the y-intercept.Slope between the points M(-3, 5) and N(2, 0).
m = 0 - 5/2 + 3
m = -5/5 = -1
the equation of point-slope form
y - y₁ = m ( x - x₁ )
y - 5 = -1 ( x - ( -3 ))
y - 5 = -1 ( x + 3 )
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a door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. suppose the true proportion is 0.07. if 492 are sampled, what is the probability that the sample proportion will differ from the population proportion by less than 0.03? round your answer to four decimal places.
Answers
The probability that the sample proportion will differ from the population proportion by less than 0.03 exists 0.9909.
What is meant by probability?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Let the true proportion exists 0.07
number of samples exists 492 then we get
√(0.07)(1−0.07)/492 ≈ 0.01150291586
Since the true value of the population proportion exists 0.07, the value of p^ must fall between 0.04 and 0.10 in order for the error of estimation to be less than 0.03.
Therefore, the probability that the sample proportion will differ from the population proportion by less than 0.03 exists 0.9909.
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Approximate the value of each irrational number. Explain your reasoning.
Part A
√30
Answers
To find the square root, we need to find out what number(s) can be multiplied by themselves to equal 30.
5 • 5 = 25
6 • 6 = 36
Because 30 is between 25 and 36, we know that the square root of 30 is between 5 and 6.
When we multiply 5 and 6 by themselves to find their square, we will find that 30 lies about halfway between 25 and 36. Upon calculation, the square root of 30 is 5.47, which to the nearest tenth is 5.5.
The square root of 30 ≈ 5.5.
haresh is writing a coordinate proof involving an isosceles triangle. haresh places his triangle on the coordinate plane such that the base of the triangle lies along the x-axis. what coordinates should he assign to this third vertex of the isoceles triangle?
Answers
The third vertex of the isosceles triangle is (a/2, b).
Let one vertex of the triangle lies on the base of the x-axis as 'a' which is written as (a,0)
Similarly, the other vertex of the triangle lies on the base of the y-axis as 'b' which is written as (0,b)
Let other vertex be at origin (0, 0)
An isosceles triangle is a triangle that has at least two sides of equal length.
Hence, the vertex of the triangle is (a/2, b).
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Please help me out with this!
Answers
Answer:
10
Step-by-step explanation:
I am not absolutely sure but i think that is correct
Given the information above, what is the size of the wedge to the nearest whole degree foraqua pencils?options:55°12°61°43°
Answers
the size of the wedge for aqua pencils is 43°
Explanation:Given:
A table showing the pencil collection
To find:
the portion that represents the aqua pencils in degree
The total number of pencils = 23 + 106 + 62 + 47 + 32
The total number of pencils = 270
In degrees:
Total angle in a circle = 360°
Size of the wedge for aqua = number of aqua pencils/total pencils × 360°
[tex]\begin{gathered} Size\text{ of the wedge = }\frac{32}{270}\text{ }\times360° \\ \\ Size\text{ of the wedge = 42.67\degree} \end{gathered}[/tex]To the nearest degree, the size of the wedge for aqua pencils is 43°
can someone help me understand the working of how to get the answer??
Answers
A) The ingredient she needed = Fruit juice = 21 litres
Lemonade = 14 litres
B) The extra punch she can make = 20litres
C) The ratio of fruit juice and lemonade for second batch = 7:6
What is Ratio?
A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. Similarly, the ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.
A)
Let 3x be fruit juice and 2x be the lemonade
3x + 2x = 35litres
5x = 35
x = 35/5
x = 7
Then, required ingredient she needed
Fruit juice = 3x7 = 21 litres
Lemonade = 2x7 = 14 litres
B)
According to question
The amount of fruit juice she had = 12litre
Let x be 12litre
as we know that the ratio of fruit juice to the lemonade is 3 : 2
Thus,
Fruit juice = 3(x) = 12 litres
x = 12/3
x = 4
Fruit juice = 3 x 4 = 12litres
putting the value in lemonade
Lemonade = 2(4) = 8 litres
So, The extra punch she can make :
12 + 8 = 20litres
C)
The ratio for new second batch she added 4litres in lemonade
Then it become :
Fruit juice = 21 litres
Lemonade = 14 litres + 4litres = 18
The ratio will be
21:18
7:6
Thus, the ratio of fruit juice to lemonade in second batch will be 7:6
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Find three consecutive even integers such that one less than four times the third is equal to five more than the sum of the first two.
Answers
The three consecutive even integers such that one less than four times the third is equal to five more than the sum of the first two is -4,-2,0.
What is an integer?An integer is a whole number irrespective of the sign that the integer is all whole numbers that are going from 0 to infinite or 0 to minus infinite.
Integer ; ....-2 , -1 , 0 , 1 , 2 , .....
Integers are non-decimal numbers and all integers are rational numbers.
Let's assume that first, even integer is x
Then the second and third will be x + 2,x + 4 respectively.
As per the given,
1 less than 4 times the third → 4(x+4) - 1
It is equal to the 5 more than the sum of x and x + 2
So, x + x + 2 + 5
Therefore, 4(x+4) - 1 = x + x + 2 + 5
4x + 16 - 1 = 2x + 7
4x + 15 = 2x + 7
2x = 7 - 15
x = -4
So integers are -4,-2,0
Hence "The three consecutive even integers such that one less than four times the third is equal to five more than the sum of the first two is -4,-2,0".
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an ice cream shop sells small and large sundaes . one day, 30 small sundaes and 50 large sundaes were sold for $420.another day, 15 small sundaes and 35 large sundaes were sold for $270. sales tax is included in all prices .
Answers
Using equation, the cost of small sundae and large sundae are 4 dollars and 6 dollars respectively.
How to solve for the cost of small and large sundae that were sold?The ice cream shop sells small and large sundaes .
One day, 30 small sundaes and 50 large sundaes were sold for $420. Another day, 15 small sundaes and 35 large sundaes were sold for $270.
Therefore,
let
x = cost of each small sundae
y = cost of each large sundae
Therefore,
30x + 50y = 420
15x + 35y = 270
multiply equation(ii) by 2
30x + 50y = 420
30x + 70y = 540
subtract equation(i) from equation(ii)
20y = 120
y = 120 / 20
y = 6
Hence,
30x + 50(6) = 420
30x + 300 = 420
30x = 420 - 300
30x = 120
x = 120 / 30
x = 4
Therefore,
cost of small sundae = 4 dollars
cost of large sundae = 6 dollars
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you constructed a pairwise ranking of four events w, x, y, and z and came up with the following assessment: x is more likely than z y is more likely than x w is more likely than x what needed information is missing that prevents you from completing this analysis?
Answers
The relation between the events Y and W prevents us from completing the analysis.
The relation between the events Y and W prevents us from completing the analysis.
Case 1: W is more likely than Y then we have the following analysis:
Z, X, Y, and W are arranged in ascending order of more likeliness.
Case 2: Y is more likely than W then we have the following analysis:
Z, X, W, and Y are arranged in ascending order of more likeliness.
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A jet ski rental charges a flat rate of $75, plus an additional $10 per hour. You only have $200 to spend. How many hours can you rent the jet ski?
PLS HELP ME
Answers
Answer:
12.5 hours
Step-by-step explanation:
The flat rate is the base, in which no matter how long you rent it for, they'll still charge you that much. You have 200 dollars, and negative 75 is 125 dollars, which you can spend on the hours. Assuming you can rent the jet ski for half an hour, you can divide 125 by 10 for the amount of hours, and the answer is 12.5 hours. However, if you can't rent the jet skis for half an hour, the answer is 12 hours.
What’s the answer plss
Answers
Answer:
B.15.9
Step-by-step explanation:
Trigonometry
7.7/SIN(29)=15.9
Answer:
3.7 cm
Step-by-step explanation:
See attached worksheet
can you help show me the steps to solve this?
Answers
Answer:69
Step-by-step explanation8966966969996^996969969969699696996996969699696969699696699696966969669669669669669669669669
