Suppose the cost per ton f(x) to build an oil platform of x thousand tons is approximated byf(x)= 62,500 ______ x+125What is the cost per ton for x=30?
Answers
Given that
The cost per ton f(x) to build an oil platform of x thousand tons is approximated by
\(f(x)=\frac{62500}{x+125}\)The cost per ton for x = 30, i.e f(30) will be
\(\begin{gathered} f(x)=\frac{62500}{x+125} \\ f(30)=\frac{62500}{x+125}=\frac{62500}{30+125}=\frac{62500}{155} \\ f(30)=\frac{62500}{155}=403.226\text{ (3 d.p)} \\ f(30)=403.226\text{ (3 d.p)} \end{gathered}\)Hence, the answer is 403.226 (3 d.p)
Related Questions
A ball is thrown into the air. The function h(x) = -16x2 + 64x + 8 models the height, in feet above ground, of the ball after x seconds.
What was the height of the ball at the time it was thrown?
How many seconds after being thrown did the ball reach its maximum height?
Answers
Answer:
At the time the ball was thrown, it was 8 feet above the ground.
h'(x) = -32x + 64 = 0, so x = 2
The ball reaches its maximum height after 2 seconds.
In which number is the digit 4 ten times larger than in the number 384?
O 842
O 954
O 1,469
O 4,216
Answers
The number 842 is the number whose digit 4 is ten times larger than in the number 384
Finding the numberTo solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.
In the number 384, the digit 4 is in the ones place, which means that its value is 4.
To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.
The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.
Therefore, the correct answer is 842.
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Guided Practice
Classify the function as linear or quadratic.
y = x + 4
A.
quadratic function
B.
linear function
Answers
Answer:
B.
linear function
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .
x-intercept(s): ( − 4 , 0 )
y-intercept(s): ( 0 , 4 )
Plz help I need help
Answers
Answer: y = 6x
Step-by-step explanation:
This table portrays a straightforward proportion between x and y. y is very simply 6 times x.
Hope it helps :) and let me know if you want me to elaborate.
If a competitive bike rider averages 14 miles per hour for a 4 4 5 hour long race, how far will they travel during that time?
Answers
Answer: about 20 miles per hour
Step-by-step explanation:
Answer:
he would go about 20 miles per hour
Step-by-step explanation:
How do I solve the following equation
Answers
Answer:
z = 72
Step-by-step explanation:
-1/4z + 12 = -6
× 4
-z + 48 = - 24
-z = - 72
z = 72
-18=-1/4z
Z=-18/-./25
Z=72
Plz check it
A park ranger wants to know the average time it takes hikers to hike a trail. There is an average of 1,245 hikers on the trail in a year. How can he find a reasonable estimate for the amount of time it takes to hike the trail? A time any hiker on the trail and use that time
B time himself on the trail and use that time
C time 100 hikers and average their times
D time 3 hikers and average their times
Answers
Answer:
B
Step-by-step explanation:
the reason why is a bigger sample size and a different types of people in a 100 than 3 or than himself
Which represents the solution set of the inequality 5x-9<21?
IA
oli olio
X26
X<6
Answers
Answer:
x < 6
Step-by-step explanation:
Given
5x - 9 < 21 ( add 9 to both sides )
5x < 30 ( divide both sides by 5 )
x < 6
Answer:
x < 6
Step-by-step explanation:
5x-9<21
Add 9 to each side
5x-9+9<21+9
5x < 30
Divide by 5
5x/5 < 30/5
x < 6
Ann is grouping 38 rocks.she can put them into groups of 10 rocks or as single rocks .what are the different ways Ann can group the rocks ?
Answers
Answer:
3 and 8/10
Step-by-step explanation:
38/10=3.8 you can have three groups of 10 and 8/10 of another group
helpppp...........................
Answers
Answer:
see explanation
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
a hexagon has 6 sides , then
sum = 180° × (6 - 2) = 180° × 4 = 720°
12
the polygon has 5 sides , so
sum = 180° × (5 - 2) = 180° × 3 = 540°
sum the interior angles and equate to 540
y + 90 + 120 + 90 + 110 = 540
y + 410 = 540 ( subtract 410 from both sides )
y = 130
13
the polygon has 7 sides , so
sum = 180° × (7 - 2) = 180° × 5 = 900°
sum the interior angles and equate to 900
p + 90 + 141 + 130 + 136 + 123 + 140 = 900
p + 760 = 900 ( subtract 760 from both sides )
p = 140
The length of a rectangular garden is 17 feet longer than its width. If the area of the garden is 234 square feet, what are the dimensions of the garden?
Answers
Answer:
The garden is 9 feet wide and 26 feet long.
Step-by-step explanation:
L = W+17
area = LW = 234
(W+17)W = 234
W²+17W-234 = 0
Quadratic formula
W = [-17 ± √(17² – 4·1(-234))] / [2·1]
= [-17 ± √1225] / 2
= [-17 ± 35] /2
= -26, 9
-26 is an extraneous solution
W = 9
L = W+17 = 26
The garden is 9 feet wide and 26 feet long.
Find x and y ...............
Answers
Answer:
D. x= 18 y= 18\(\sqrt{3}\)
Step-by-step explanation:
30-60-90 triangle
leg 1 is x
leg 2(y) is =\(x\sqrt{3}\)
hypotenuse is 2x
the hypotenuse is 36
36=2x
18=x
y=\(18\sqrt{3}\)
Can you plss find the mistake show how to correct it plss
Answers
Given an equation to solve:
\(3(x-2)+6=12x+18\)The solution of the given equation is as follows:
\(\begin{gathered} 3(x-2)+6=12x+18 \\ 3x-6+6=12x+18 \\ 3x=12x+18 \\ 3x-12x=12x+18-12x \\ -9x=18 \\ \frac{-9x}{-9}=\frac{18}{-9} \\ x=-2 \end{gathered}\)Thus, x = -2.
if the slope of a line is 4/3. I would count
Answers
Answer:
1.3
Step-by-step explanation:
Just put it in the caculator
Answer:
Up 4 and right 3
Step-by-step explanation:
Rise over run. Rise is either up(positive) or down(negative). Run is either left(negative) or right(positive).
Jim deposited $350 into a savings account with simple interest at Hunting Bank. He left the money in his account with no changes for 4 years. At the end of 4 years, his bank statement showed he had earned $32.50 in interest. What is Jim’s interest rate for his savings account? Round to the nearest tenth of a percent. S
Answers
Answer:
2.321428571%
Step-by-step explanation:
Given in the question,
P=$350
T=4years
I=$32.50
We know that
I=PTR/100
32.50=350*4*R/100
R=32.50*100/350*4
R=2.321428571%
So, the rate of interest is 2.321428571%
Olivia measures the heights of two trees and the lengths of their shadows. She notices that the height of each tree and the length of its shadow are directly proportional. One of the trees has a height of 15 m and a 10 m long shadow. The other tree has a 14.4 m long shadow. Calculate its height, in metres (m). Give any decimal answers to 1 d.p. 15 m 10 m ? m 14.4 m
Answers
Step-by-step explanation:
directly proportional means
y = kx
with k being a constant factor for all values of x.
we get k by using the given data point (10, 15).
15 = k×10
k = 15/10 = 1.5
so, now for the other tree we know k and x and calculate y
y = 1.5×14.4 = 21.6 m
it is 21.6 m tall (its height is 21.6 m).
if m 1 =7x and m 4 =3x +20 what is the value of x
Answers
Answer:
this is a wild guess but 10.
Step-by-step explanation:
Not sure if you're allowed to do this but i added the x's
7x+3x= 10x
10x+20.
I then subtracted 10 by both sides. That leaves me with 10.
x =10
this is a guess i apologize if it's wrong
Please help! Answer if correctly only.
Answers
Answer:
f(X)= 4 and g(X)= 49 are the answers!
Answer:
f(6) = -8
g(-3) = 49
Step-by-step explanation:
So when observing a function we have to remember that the desired input value is correspondent to the function. So when looking at the first function of:
f(x) = -2x+4
we can see that we are trying to find f(6) meaning all of the values of x are 6 in the equation. When plugging in the value of x into the equation then we have:
f(6) = -2(6)+4
the next step would be to simplify. -2*6 = -12 and -12+4=-8 and thus:
f(6) = -8
Now the steps are the same with g(-3) except with the other function:
g(x) = -2x^3-5
g(-3) = -2(-3)^3-5
g(-3) = 49
A 30-day supply of vitamins costs $3.24, what is the price in cents per day? Round to the nearest tenth of a cent,
if necessary.
Answers
Answer:
the answer is .11
Step-by-step explanation:
3.24÷30=.108
The price of vitamins in cents per day will be 10.8 cents.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity.
Given that;
A 30-day supply of vitamins costs = $3.24
Now,
Since, 1 dollar = 100 cents
Hence, $3.24 = 3.24 x 100 = 324 cents.
So, A 30-day supply of vitamins costs = 324 cents.
Now, Each day supply of vitamins costs = 324 ÷ 30
= 10.8 cents.
Thus, The price of vitamins in cents per day will be 10.8 cents.
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Solve for X: |x-7|=8
Please help
Answers
Answer:
x=1
Step-by-step explanation:
remember ll means absolute value
the absolute value of x is x and the absolute value of -7 is 7
now we have x+7=8
step 1 subtract each side by 7
7-7 cancels out
8-7=1
we're left with x = 1
Xavier climbs 9 feet up into an apple tree. What integer represents the direction and how far he will climb to get back down to the ground? What does the integer 0 represent in this situation?
Answers
Answer:
He started climbing 9 feet up into the tree, so we can assume that the initial position is 9ft above the ground.
Then if he wants to get back into the ground, he must "descend" or climb down 9 ft again.
Then the integer is -9 (because he is climbing down now).
In this case, the 0 represents that he does not move.
So the integer 0 is related to: +0ft or -0ft
This means that he climbs up 0ft or down -0ft, which is the same as not moving at all.
Sammy and her family are on a trip. So far, they have traveled 225 miles and are 25% of the way to their destination. How many total miles will they travel?
Answers
Explanation: 25% is only 1/4 of the way, so in order to get to 100% you multiply it by 4. 225•4= 900
So 900 miles is your answer
Lee la siguiente situación y completa:
Para lanzar una nueva revista en una ciudad se va a preguntar a sus habitantes acerca de sus temas de interés. Para ello, se realiza una encuesta telefónica en forma aleatoria a 40.000 personas.
Answers
De acuerdo con la información podemos inferir que la población se refiere a los habitantes de la ciudad y la muestra es 40,000 personas.
¿Cómo identificar la información faltante?Para identificar la información faltante debemos tener en cuenta la información del enunciado. En este caso nos dicen que quieren implementar una revista en una ciudad determinada y para identificar los temas de la revista debemos hacer una encuesta.
En este caso, la entrevista se realiza a 40,000 personas por lo que esta sería la muestra debido a que no podríamos realizar la encuesta a cada una de las personas que es habitante de la ciudad.
Nota: Esta pregunta está incompleta. Aquí está la información completa:
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A similar follow-up study is done on a sample of 25 meat-lovers who never eat vegetables, again randomly selected from the same general population (population mean life expectancy = 75, population standard deviation = 5). This new sample of meat-eaters live to an average age of 77. What is the lower limit and upper limit of the 95% confidence interval for the life expectancy of this sample of meat-lovers?
Answers
Answer:
The lower limit is 75.04
The upper limit is 78.96
Step-by-step explanation:
From the question we are told that
The sample size is \(n = 25\)
The sample mean is \(\= x = 77\)
The standard deviation is \(\sigma = 5\)
Given that the confidence level is 95% then the level of significance is mathematically represented as
\(\alpha = (100 - 95)\%\)
\(\alpha = 0.05\)
The critical value for \(\frac{\alpha }{2}\) obtained from the normal distribution table is
\(Z_{\frac{\alpha }{2} } = 1.96\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)
=> \(E = 1.96* \frac{5 }{\sqrt{25} }\)
=> \(E = 1.96\)
The 95% confidence interval is mathematically represented as
\(\= x -E < \mu < \= x +E\)
=> \(77 - 1.96 < \mu < 77 + 1.96\)
=> \(75.04 < \mu < 78.96\)
Describe the series of rigid motion transformations which map polygon A to Polygon A'''. Are the two polygons congruent? Explain how you know.
(someone please help me!)
Answers
The series of rigid motion transformations that map polygon A to Polygon A''' are;
A rotation of 145° about the origin to map A to A'A reflection across the x-axis to map A' to A'A translation of four units to the right and one unit downWhat is a rigid transformation?A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.
The series of rigid motion transformations that map polygon A to polygon A''' are;
Transformation from A to A'
The angle in the diagram in the question indicates the rotation of polygon A to produce polygon A' is a rotation of 145° about the origin.Transformation from A' to A''
The coordinates of the vertices of triangle, A' (0.9, 4.1), (3.1, 5.9), (5.5, (2.5) and the vertices of triangle A'' (0.9, -4.1), (3.1, -5.9), (5.5, -2.5), indicates that the transformation is a reflection about the x-axisTransformation from A'' to A'''
The arrow of the translation transformation indicates that the transformation is a translation of four units to the right and 1 unit down.Learn more about rigid transformations in geometry here:
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you are buying wood to build a gate for your backyard. if your car trunk has the following dimensions (47 inches by 33 inches by 19.5 inches), what is the longest piece of wood that could fit in your trunk (hint: it would likely be diagonal)?
Answers
The longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.
How to measure diagonal of the cuboid?The length of the diagonal of the cuboid is found out using the following formula.
\(D=\sqrt{l^2+b^2+h^2}\)
Here, (l) is the length of the cuboid, (w) is the width, and (h) is the height of the cuboid.
The wood has to buy to build a gate for backyard. The car trunk has the following dimensions (47 inches by 33 inches by 19.5 inches). Here, we have,
Length (l)=47 inWidth (w)=33 inHeight (h)=19.5 inThe longest piece of wood which fits is equal to the length of diagonal of cuboid. Put the values in the formula,
\(D=\sqrt{47^2+33^2+19.5^2}\\D=\sqrt{3678.25}\\D=60.65\rm\; in\)
Thus, the longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.
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Carol uses this graduated tax schedule to determine how much income tax she owes. A 3-column table with 6 rows. Column 1 is labeled If taxable income is over with entries 0 dollars, 7,825 dollars, 31,850 dollars, 64,250 dollars, 97,925 dollars, 174,850 dollars. Column 2 is labeled but not over with entries 7,825 dollars, 31,850 dollars, 64,250 dollars, 97,925 dollars, 174,850 dollars, no limit. Column 3 is labeled the tax is with entries 10 percent of the amount over 0 dollars, 782 dollars and 50 cents plus 15 percent of the amount over 7,825 dollars, 4,386 dollars and 25 cents plus 25 percent of the amount over 31,850 dollars, 12,486 dollars and 25 cents plus 28 percent of the amount over 64,250 dollars, 21,915 dollars and 25 cents plus 33 percent of the amount over 97,925 dollars, 47,300 dollars and 50 cents plus 35 percent of the amount over 174,850 dollars. If Carol’s taxable income is $89,786, how much income tax does she owe, to the nearest dollar? a. $25,140 b. $12,654 c. $19,636 d. $37,626
Answers
Answer:
answer is c) $19,636
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Jasmine recorded the number of minutes she spent doing homework each day during the months of March and April
The box plot shows her data for March
March
0
5
10
15
20
25
30
35
40
45
50
Time Spent Doing Homework (minutes)
Her data for April is given in the table
0 5 10 15
20 25 30 30 30
30 30 30 30
35 40 40 40 45
45 45 45 50 50 55 60 65 65 75
Select all true statements about the data
DA Jasmine spent more minutes doing homework during the month of April.
B
The mean value
greater for the month of April
C. The median value is greater for the month of April
D. Based on the interquartile range, there is greater variability for the month of April
Answers
Answer:
Option A,B,C and D is correct
Step-by-step explanation:
As we can see , the data set for April month has longer time duration taken for completing homework as compared to the time taken during the month of April. Hence, option A is correct.
Option B is also correct because most of the instance of time taken for doing homework is greater for month of April as compared to the month of March
Median value for the month of march = 25 and median value for the month of April is (30+35)/2 = 32.5. Hence, Option C is correct
There is greater variability for the month of April. Hence, option D is correct
help me with this!! what is 452 x 271
Answers
Answer:122492
Step-by-step explanation:
The probability of getting heads on a single coin flip is ;
2
The probability of getting nothing but heads
on a series of coin flips decreases by
2
for each additional coin flip. Enter an exponential function for the
probability p(n) of getting all heads in a series of n coin flips. Give your answer in the form a (b)'. In the
event that a = 1, give your answer in the form (b)'.