Answers
Answer:
[tex]displacemnt \: = 4432.5m \: (left)[/tex]
Step-by-step explanation:
[tex]velocity = \frac{displacemnt}{time} \\ - 98.5m {s}^{ - 1} = \frac{x}{45.0 \: s } \\ x = - 98.5 \times 45.0 \\ displacemnt \: = 4432.5m \: (left)[/tex]
Answer:
-4432.5 m
Step-by-step explanation:
-98.5 × 45 = -4432.5 m
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Related Questions
incy length
The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 270 days and a standard deviation of 9
days
(a) What is the minimum pregnancy length that can be in the top 12% of pregnancy lengths?
(b) What is the maximum pregnancy length that can be in the bottom 6% of pregnancy lengths?
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mean = = 26
(a) The minimum pregnancy length is days
(Round to one decimal place as needed)
(b) The maximum pregnancy length is days.
(Round to one decimal place as needed)
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ution with a
ancy length
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egnancy len
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Enter your answer in each of the answer boxes
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Answers
Answer:
(a) 259.5 days
(b) 284 days
Step-by-step explanation:
Let X represent the pregnancy length in days.
It is provided that [tex]X\sim N(270,9^{2})[/tex].
(a)
Let a represent the minimum pregnancy length that can be in the top 12% of pregnancy lengths.
Then,
P (X < a) = 0.12
⇒ P (Z < z) = 0.12
The corresponding z-score is, z = -1.17.
*Use a z-table.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\-1.17=\frac{a-270}{9}\\\\z=270-(9\times 1.17)\\\\z=259.47\\\\z\approx 259.5[/tex]
Thus, the minimum pregnancy length that can be in the top 12% of pregnancy lengths is 259.5 days.
(b)
Let b be the maximum pregnancy length that can be in the bottom 6% of pregnancy lengths.
Then,
P (X > b) = 0.06
⇒ P (X < b) = 0.94
⇒ P (Z < z) = 0.94
The corresponding z-score is, z = 1.56.
*Use a z-table.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\1.56=\frac{b-270}{9}\\\\z=270+(9\times 1.56)\\\\z=284.04\\\\z\approx 284[/tex]
Thus, the maximum pregnancy length that can be in the bottom 6% of pregnancy lengths is 284 days.
how much is the ratio 3.4
Answers
Answer:
3.4% / 100= 3.4%
Step-by-step explanation:
simplify divide m by n and then multiply the result by 100
20 = 8x + 4y
what is y?
Answers
Answer:
y = -2x + 5
Step-by-step explanation:
20 = 8x + 4y
subtract 8x from both sides
4y = -8x + 20
divide both sides by 4
y = -2x + 5
The value of y is 5-2x=y
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 20 = 8x + 4y
Twenty equal to eight times of x plus four times of y.
We need to solve the equation for y.
To solve this we need to separate the variable y.
Subtract 8x on both sides
20-8x=4y
Divide both sides by 4
20/4-8/4x=y
5-2x=y
Hence, the value of y is 5-2x=y
To learn more on Equation:
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A board is 54.61 centimeters long.how long is the the board in inches?use the following conversion:1inch is 2.54 centimeters
Answers
Answer:
21.5 inches
Step-by-step explanation:
HELP ME PLS PLS PLS The maximum number of oranges in a box of volume one cubic foot can be modeled by the inequality |x − 17| ≤ 5, depending on the size of the oranges. Solve the inequality to find the greatest and least numbers of oranges that could be in a box. Complete the explanation of how you found your answer.
The box can contain a minimum of ___ oranges and a maximum of ____ oranges. The inequality needs to be split into ____ and ____ before solving. The solutions to each of these inequalities can be combined to make ___ ≤ x ≤ ___
Answers
Answer:
The first two blanks are 12 and 22 and the last two blanks are 12 and 22
Step-by-step explanation:
An airplane lands on a runway with a velocity of 150 m/s. How far will it travel until it stops if its rate of
deceleration is constant -3m/s2?
Answers
Answer:
3750 m
Step-by-step explanation:
This question can be solved using law of equation of motion
[tex]v^2 = u^2 + 2as[/tex]
where v is the final velocity
u is the initial velocity
a is the acceleration
and
s is the distance travelled
________________________________
given
final velocity = v = 0 since it is given that plane stops
u = 150 m/s
a = -3m/s2
using the above values in the given equation
[tex]v^2 = u^2 + 2as\\0 = 150*2 + 2*-3s\\0 = 22500 - 6s\\=> 6s = 22500\\=> s = 22500/6 = 3750[/tex]
Thus, plane will travel 3750 m before it stops.
THIS IS ANOTHER FREEBIE FOR 15 POINTS, JUST SAY
"GEOMETRY' AS AN ANSWER
Answers
Answer:
GEOMETRY
Step-by-step explanation:
If m DGE=52 and FGE is a right angle, what is the measure of DGF
Answers
Answer:
DGF=38
Step-by-step explanation:
FGE is the total angle that adds up to 90 degree. We know that it is bisected into 2 separate angles where we know DGE is 52 but not DGF.
We use the following information above to make the equation x + 52 = 90 (x represent the unknown degree)
Then you just solve normally where you subtract 53 from 90 and get the solution of x=38.
The expression shown can be used to calculate the amount of money in dollars a grocery store customer should receive in change when paying with $50. 50 − ( 14 + 12 + 2 ( 5 ) + 2 ( 2 ) + 3 ) What amount of change in dollars should the customer receive?
Answers
Answer:
The change received by the customer is $7.
Step-by-step explanation:
First, write the given expression for the change when paying with $50.
[tex]50 - ( 14 + 12 + 2 ( 5 ) + 2 ( 2 ) + 3 )[/tex]
Evaluate the parentheses:
[tex]50-(26+10+4+3)[/tex]
Now add the numbers inside the parentheses.
[tex]50-43[/tex]
Subtract the numbers.
[tex]7[/tex]
Hence, the change received by the customer is $7.
You are loading 6 concrete blocks onto a wagon, one at a time. The linear function y=30x+25 represents the total weight y (in pounds) of the wagon and its contents after you have loaded x blocks?
Answers
Answer:
D
(0,25) (1,55) (2,85) (3,115) (4,145)
Step-by-step explanation:
Each block is 30lbs, plus another 25lbs for the wagon. So just plot that.
Answer:(0,25) (1,55) (2,85) (3,115) (4,145) (5,175) (6,205)
Step-by-step explanation:
What is the slope of the line described by the equation below?
y-9= -2(x-8)
Answers
Answer:
-2x is the slope.
Step-by-step explanation:
y-9=-2(x-8)
y-9= -2x +16
y= -2x +25
m= -2
Answer: The slope is -2.
Step-by-step explanation: took the quiz.
x-9=17 what’s the answer plz
Answers
Answer:
x=26
Step-by-step explanation:
x-9=17
1. add 9 to both sides:
x-9 +9 = 17 +9
x=26
2. check your answer by plugging the value of x back into the equation:
26-9=17
17=17, so the answer is correct
Describe in your own words what a function is and include an example of a function?
Answers
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
This means that if the object x
x
is in the set of inputs (called the domain) then a function f
f
will map the object x
x
to exactly one object f(x)
f
(
x
)
in the set of possible outputs (called the codomain).
The notion of a function is easily understood using the metaphor of a function machine that takes in an object for its input and, based on that input, spits out another object as its output.
Example: x2 (squaring) is a function
x3+1 is also a function
Sine, Cosine and Tangent are functions used in trigonometry
and there are lots more!
But we are not going to look at specific functions ...
... instead we will look at the general idea of a function.
write this in simple form 3^6 x 3
Answers
Answer:
the answer would be 2187
Step-by-step explanation:
3 to the 6th would be 729 and times it by 3 you get 2187
1/2 (x-3) = 6
A. 13
B. 7
C. 15
D. 18
What is x!?!?!?!?!?!?!
Answers
Answer:
c which is 15
Step-by-step explanation:
15 - 3 is 12 and 12 split in half (or in case multiplied by 1/2) is 6.
If f(x) = x^4 - 36, and g(x) = x^2+ 6 then f(x) ÷ g(x)=
Answers
Answer:
f+g)(x) = f(x) +g(x)
.. = (x^2-36) +(x^3+2x^2-10)
.. = x^3 +3x^2 -46
Step-by-step explanation:
Simplify. 12x • 3x plzzzzzzzzz answer fast ..
Answers
Answer:
36x²
Step-by-step explanation:
We multiply the 2 together:
12 · 3 = 36
x · x = x²
36x²
Answer:
36x²
Step-by-step explanation:
= 12x . 3x
= ( 12 . 3 ) ( x . x )
= ( 36 ) ( x² )
= 36x²
☆Detail :________________________________
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Given the first term which is 4 and the common ratio which is 3 of a geometric
sequence, write the first 4 term of the sequence.
Answers
Step-by-step explanation:
a1=ar⁰=a=4 r=3
A2=ar¹=4*3
A3=ar²=4*3²=4*9=36
A4=ar³=4*3³=4*27=108
A5=ar⁴=4*3⁴=4*81=324
is (-2, 1) (-1, 3) (0, -2) (1, 3) ( -2, 1)a function?
Answers
Answer:
Yes this is a function.
Explanation:
Functions are those that DO NOT REPEAT x values, in this case, you will see that -2 repeats twice as an x value, but it is expressing the same point, so it will not be considered as going twice.
I can also say that if you are to graph this:
HELPPP plssssz need answer fast like minato be
Answers
Answer:
x=16
Step-by-step explanation:
First, minus 80 from 180 because the sum of all the angles in a triangle is 180. Then use linear equations. 100=(4x-4)+(0.5x+32)
After that, you will get 100=4.5x+28
x=16
PLEASE SOMEONE HELP ME I DON'T UNDERSTAND
1. Write the equation of the line in slop intercept form. (y=mx+b)
2. Rate of change
3. Domain
4. Range
5. Increasing Interval
6. Decreasing Interval
7. X-intercept
8. Y-intercept
9. Left-end behavior
10. Right-end behavior
Answers
Answer:
1. y = 1/2 + 1
2. 1/2
3. all real numbers
4.all real numbers
5.
6.
7. ( -2,0)
8.( 0, 1)
9.
10.
Step-by-step explanation:
Thats all I can help with, sorry i couldn't goet the rest
If f (x) = 1/9x - 2, what is f-¹(x)? Help me pls?!?!?!?!??!?!?!?!?
f-¹(x)= 9x + 18
f-¹(x)= 1/9x + 2
f-¹(x)= 9x + 2
f-¹(x)= -2x + 1/9
Answers
Answer:
A
Step-by-step
Please help me pair these. Please explain how you got the answer!
Answers
Answer:
Down in the explanation
Step-by-step explanation:
So.. my guess is the cost of the laminate flooring per square foot is D. The cost of the entire room could be A. The area of the kitchen could B, and the labor fee could be C. I'm sorry if I get this wrong, I tried my best.
Given m||n, find the value of x.
Answers
Answer:
X= 124
Step-by-step explanation:
Because these angles are alternate interior angles we know that X+56 will equal 180, so to solve:
180 - 56= 124
Answer:
124 degrees
Step-by-step explanation:
180 degrees is a straight line
the given angle is 56 degrees
so, all you do is subtract
180 - 56 = 124
to double check,
56 + 124 = 180
Vannorman Corporation processes sugar beets in batches. A batch of sugar beets costs $78 to buy from farmers and $18 to crush in the company's plant. Two intermediate products, beet fiber and beet juice, emerge from the crushing process. The beet fiber can be sold as is for $25 or processed further for $16 to make the end product industrial fiber that is sold for $57. The beet juice can be sold as is for $39 or processed further for $22 to make the end product refined sugar that is sold for $84. How much profit (loss) does the company make by processing one batch of sugar beets into the end products industrial fiber and refined sugar?
Answers
Answer:
Results are below.
Step-by-step explanation:
We will take into account the differential costs only. Therefore, the costs of sugar beets and to crush them are irrelevant to decision making.
Beet fiber:
Sold as is= $25
Continue processing= 57 - 16= $41
It is more convenient to process further the beet fiber.
Beet juice:
Sold as is= $39
Continue processing= 84 - 22= $62
It is more convenient to process further the beet juice.
Calculate the value of k=xy
Answers
Answer:
x times y
Step-by-step explanation:
k is the value of x times y
How do I right this as an inequality? Quotient of a number r and 7 is no more than 18.
Answers
Answer:
Step-by-step explanation:
r x 7 => 18
3m+8=15
[tex]3m + 8 = 15[/tex]
Answers
Answer:
m = [tex]\frac{7}{3}[/tex]
Step-by-step explanation:
Given
3m + 8 = 15 ( subtract 8 from both sides )
3m = 7 ( divide both sides by 3 )
m = [tex]\frac{7}{3}[/tex]
Which is the decimal equivalent to 4 3/10?
Answers
Because 43/10 ( 4 3/10 ) = 4.3
Mr. Jones bought a car for $64 000. The car depreciates by 20% in the first year and 10% in each of the following years. The value of the car at the end of the second year was *
Answers
Depreciation for 1st year = 20/100 × 64000 = $12800
End of 1st year = $64000 - $12800 = $51200
Depreciation for 2nd year = 10/100 × 51200 = $5120
End of 2nd year = $51200 - $5120 = $46080
Answer:
Value at the end of the 2nd year is $46,080
Answer:
Value at the end of the 2nd year is $46,080
Step-by-step explanation:
Depreciation for 1st year = 20/100 × 64000 = $12800
End of 1st year = $64000 - $12800 = $51200
Depreciation for 2nd year = 10/100 × 51200 = $5120
End of 2nd year = $51200 - $5120 = $46080