On Monday at 1 p.M., when the ocean's surface was at an elevation of 2.2 feet, Winston went to a surf shop that was 8.2 feet above the ocean's surface. At 7 p.M. When the ocean's surface was at an elevation of -2.4 feet, Winston ate dinner at a restaurant whose deck was 10 feet above the ocean's surface.What was the distance between the deck and the ocean's surface at 1 p.M.?
Answers
Answer:
5.4 feet
Step-by-step explanation:
Let the reference line [tex]A_0B_0[/tex] represents the sea level without any elevation.
At 1 P.M. the ocean surface was at an elevation of 2.2 feet along the line [tex]A_1B_1[/tex] in the figure and the surf shop was 8.2 feet above of this elevated ocean's surface along the line [tex]A_2B_2[/tex] in the figure.
Similarly, at 7 P.M. the ocean surface was at an elevation of -2.4 feet along the line [tex]A_3B_3[/tex] in the figure and the deck in the restaurant was 8.2 feet above of this elevated ocean's surface along the line [tex]A_4B_4[/tex] in the figure.
From the figure, the distance between the deck and the ocean's surface at 1 P.M.= The distance between the lines [tex]A_1B_1[/tex] and [tex]A_4B_4[/tex].
[tex]d= 10- (d_1+d_2)[/tex]
[tex]=10-(2.2+2.4)[/tex]
=5.4 feet
Hence, the distance between the deck and the ocean's surface at 1 P.M. is 5.4 feet.
The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.
This is a problem of relative and absolute distances. First, we determine the absolute elevation of the surf shop at 1 P.M.:
[tex]x_{1} = 8.2\,ft + 2.2\,ft[/tex]
[tex]x_{1} = 10.4\,ft[/tex]
Now we determine the absolute elevation of the deck at 7 P.M.:
[tex]x_{2} = 10\,ft - 2.4\,ft[/tex]
[tex]x_{2} = 7.6\,ft[/tex]
Lastly, we calculate the elevation of the deck relative to the ocean surface at 1 P.M.:
[tex]x' = 7.6\,ft - 2.2\,ft[/tex]
[tex]x' = 5.4\,ft[/tex]
The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.
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Related Questions
Simplify: –3(y + 2)2 – 5 + 6y
What is the simplified product in standard form?
Answers
Answer:
-17
Step-by-step explanation:
[tex] - 3{(y + 2)}^{2} - 5 + 6y \\ - 3(y + 2)(y + 2) - 5 + 6y \\ ( - 3y - 6)(y + 2) - 5 + 6y \\ - 3 {y}^{2} - 6y - 6y - 12 - 5 + 6y \\ - 3 {y}^{2} - 12y - 12 - 5 + 6y \\ - 3 {y}^{2} - 12y + 6y - 12 - 5 \\ - 3 {y}^{2} - 6y - 17[/tex]
Answer[tex]-3y^{2}-6y-17[/tex]
ASAP HELP ASAP HELPPPP
Answers
Answer:
3 or 2 is the answer to the question
After completing the fraction division 8 divided by StartFraction 1 Over 6 EndFraction, Patel used the multiplication below to check his work. StartFraction 1 Over 48 EndFraction times 6 = StartFraction 1 Over 48 EndFraction times StartFraction 6 Over 1 EndFraction = StartFraction 6 Over 48 EndFraction = StartFraction 1 Over 8 EndFraction Which is the most accurate description of Patel's work? Patel found the correct quotient and checked his work using multiplication correctly. Patel found the correct quotient but checked his work using multiplication incorrectly. Patel found an incorrect quotient but checked his work using multiplication correctly. Patel found an incorrect quotient and checked his work using multiplication incorrectly.
Answers
Answer:
Patel found an incorrect quotient and checked his work using multiplication incorrectly.
Step-by-step explanation:
After completing the fraction division 8 divided by StartFraction 1 Over 6 EndFraction, Patel used the multiplication below to check his work.
Correct calculation
8 ÷ 1/6
= 8 × 6/1
= 48
Check:
1/6 * 48
= 48 / 6
= 8
Patel's calculation
1/48 * 6
= 1/48 * 6/1
= 6/48
= 1/8
Patel found an incorrect quotient and checked his work using multiplication incorrectly.
Answer:
D on edge
Step-by-step explanation:
have a great day :)
hope this helps :)
Given the following roots x = 2, -3, 4. Write a polynomial function p(x)
Answers
Answer:
[tex]x^3-3x^2-10x+24[/tex]
Step-by-step explanation:
The first thing that you have to do is take the roots that you're given and write binomial products.
[tex]x= 2, -3, 4[/tex]
[tex](x-2)(x+3)(x-4)[/tex]
Remember that a root is the value of "x" in a binomial expression, so the binomial expression itself will have the opposite sign of the root.
The next thing you have to do is multiply the roots together. A good way to do this is the "box method."
(See attachment below for the multiplication of [tex](x-2)[/tex] and [tex]x+3[/tex]. )
Next, multiply your new trinomial by your remaining binomial. (See additional attachment below for the multiplication of [tex](x^2+x-6)[/tex] and [tex](x-4)[/tex])
The resulting polynomial is [tex]x^3-3x^2-10x+24[/tex].
Which one?
A. B. C. Or D?
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
[tex]6a^{2} - 24 = 0\\6a^{2} - 24 + 24 = 0 + 24 \\6a^{2} = 24\\\frac{6a^{2}}{6} = \frac{24}{6} \\a^2 = 4\\a = \sqrt{4} \\a = +2, -2[/tex]
Suppose scores on exams in statistics are normally distributed with an unknown population mean. A sample of 26 scores is given below. Use Excel to find a 90% confidence interval for the true mean of statistics exam scores. Round your answers to one decimal place and use increasing order.
Answers
Answer:
Step-by-step explanation:
Using the formula for calculating confidence interval
CI = xbar±z×S/√n
xbar is the mean of the sample
z is the z score at 90% = 1.645
S is the standard deviation of the score
n is the sample size = 26
Since we are not given the scores, we can assume the values of our mean and standard Deviation
Let xbar = 38
S = 3.0
Substitute the given values into the formula
CI = 38±(1.645×3.0/√26)
CI = 38±(1.645×3.0/5.099)
CI = 38±(1.645×0.5884)
CI = 38±0.9678
CI = (38-0.9678, 38+0.9678)
CI = (38.0322, 38.9678)
CI = (38.0, 38.9)
Hence the 90% confidence interval for the true mean of statistics exam scores is 38.0≤p≤38.9
Note that the we will need to generate the mean and standard deviation from the data but since we are not given the required data, we had to assume the value we used in calculation.
What is an equation of the line that passes through the points (6,4) and (4,1)
Answers
First, you find the slope.
This is done by plugging in to the equation y2 - y1 / x2 - x1
Let 6 and 4 by x2 and y2 and 4 and 1 be x1 and y1.
4-1 / 6-4 = 3/2
The slope is 3/2.
Now, y = 3/2 x +b
To solve for b, plug in a point.
I plugged in (6, 4)
4 = 3/2(6) + b
4 = 9 + b
-5 = b
So, the equation is y = 3/2 x - 5
Hope this helps
[tex]y = \frac{3}{2} x - 5[/tex]
Lucy has a bag of marbles. She shares one third of them with Carol, keeping one quarter for herself. Amrita joins them, so Lucy gives the rest of the marbles to her. If Carol has seven more marbles than Lucy, how many does Amrita have?
PLEASE TELL HOW YOU GOT THE ANSWER!!
Answers
Answer:
Step-by-step explanation:
Let L = Lucy, C = Carol and A = Arita , x = Total amount of marbles
Lucy shares 1/3 with Carol and keeps 1/4 for herself.
This means that Carol has 1/3 of the total amount of marbles, Lucy has 1/4 of the total amount of marbles.
C = 1/3x
L = 1/4x
We are also told that Carol has 7 more marbles than Lucy
C = L + 7
Since C = 1/3x and L = 1/4x you can sub these into the above equation and you get:
1/3x = 1/4x + 7
Subtract 1/4x from both sides
1/3x - 1/4x = 7
1/12x = 7
Multiply both sides by 12 to find x.
x = 7 times 12 = 84 (Total amount of marbles = 84)
Amrita gets the remaining number of marbles.
A = x - C - L
A = 84 - 1/3 (84) - 1/4 (84)
A = 35
How do I factor
x ^5−x^ 4+3x−3
Answers
a single digit times a power of 10 to estimate the number 0.00007216
Answers
Give the top person brainly pls
Explain why a+b=d because I don’t understand
Answers
Answer:
a and b connect to d in the slope
Step-by-step explanation:
Answer:
Aight mate
Step-by-step explanation:
So every triangles angles will add up to 180 degrees no matter the triangle. Now a circle is 360 and a line is 180. Look at the line that A and C are on this line equals 180. So angle c and d added together make 180 and angles a b and c added together make 180. so if a+b+c = c+d then a+b=c. I hope thaqtmakes sense.
Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 240 rounds. At what rate has Ashley ridden her horse in rounds per hour?
Answers
Answer:
40
Step-by-step explanation:
At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard. Here is a system of equations that represent the constraints in the situation. x + y = 4.25 16.90x + 4y = 36.35 Find the solutions to the system of equations. Explain or show your reasoning
Answers
Given:
The system of equations that represent the constraints for the given situation is
[tex]x+y=4.25[/tex]
[tex]16.90x+4y=36.35[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]x+y=4.25[/tex] ...(i)
[tex]16.90x+4y=36.35[/tex] ...(ii)
Multiply equation (i) by 4.
[tex]4x+4y=17[/tex] ...(iii)
Subtracting (iii) from (ii), we get
[tex]16.90x+4y-(4x+4y)=36.35-17[/tex]
[tex]16.90x+4y-4x-4y=19.35[/tex]
[tex]12.90x=19.35[/tex]
Divide both sides by 12.90.
[tex]x=\dfrac{19.35}{12.90}[/tex]
[tex]x=1.5[/tex]
Put this value in (i).
[tex]1.5+y=4.25[/tex]
[tex]y=4.25-1.5[/tex]
[tex]y=2.75[/tex]
The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.
what is an equation equivaent to x=-2
Answers
x-2=0 answer
Step-by-step explanation:
x=-2 move constant to the left by adding its opposite to both sides
x+2=2-2 the sum of two opposites equals 0
x-2=0
ANSWER X-2=0
Rewrite the expression using the distributive property: 3(2r + 2)
Answers
Answer:
3(2r+2) = 6r + 6
Step-by-step explanation:
Three times to is six just add the ''r'' to the six and you have six ''r'' then youdo three times two which is six
how long will it take you to drive 135 miles at a speed of 45 miles per hour?
Answers
Answer:
3 hours
Step-by-step explanation:
divide 135 by 45 to get your answer
decimal equivalent 9 1/3
Answers
The decimal equivalent to 9 1/3 is
SBS: step multiply whole number 1:9 x 3=27 step add product 2: 27+1=28 step 3 divide: 28 ÷ 3= 9.333333
Final answer in decimal form: 9.33
Therefore, the answer is C
The equivalent from of [tex]9\frac{1}{3}[/tex] ⇒ 9.
The given mixed fraction is,
[tex]9\frac{1}{3}[/tex]
Now to convert it into decimal form
First of all convert it into simple fraction
So numerator of [tex]9\frac{1}{3}[/tex] is formed by multiplying 3 with 9 then add 1
and denominator remains same as 3
Therefore,
Simple fraction be
[tex]9\frac{1}{3}[/tex] ⇒ (9x3 + 1)/3
= 28/3
Now divide 28 by 3
we get,
9.333333
Here,
It is non terminating number
And 3 is repeating after decimal
therefore,
The decimal form of [tex]9\frac{1}{3}[/tex] ⇒ 9.[tex]\frac{}{3}[/tex]
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What is the volume of the cylinder below
Answers
Answer:
I think d or b
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Sonji paid $25 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?What is the best approximation for the input value when f(x)=g(x)?
Answers
Answer:
11$
Step-by-step explanation:
big brain
Answer:
11 just took the test
Step-by-step explanation:
NASCAR driver Jimmy Johnson completed 200 laps as he crossed the finish line. From the start of the race to the finish line, is a description of his _________________.
A. displacement
B. speed
C. velocity
D. Distance
Answers
Answer:
B!!
Step-by-step explanation:
think its B im not sure
Sales tax is calculated as a percentage of the sales price. If sales tax is 7%, what is the sales tax on clothing that costs $150?
Answers
Answer:
$160.50
Step-by-step explanation:
You multiply $150 by .15 to find out what 15% of it (10.50)
You add the values to get $160.50
10.5 is the sales tax on clothing that costs $150
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Sales tax is calculated as a percentage of the sales price.
sales tax is 7%
We need to find the the sales tax on clothing that costs $150
Convert 7% to the decimal value by dividing with 100.
7/100=0.07
Now multiply 0.07 with 150
0.07×150
Zero point zero seven times of one hundred and fifty.
10.5
Hence, 10.5 is the sales tax on clothing that costs $150
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Tamara bought yarn for $39 and 2 pairs of knitting needles. Her total cost for the yarn and knitting needles was $69. Tamara writes an equation that represents the cost of each pair of knitting needles. If k represents the cost of each pair of knitting needles, which statements about verifying the value of k are true? Check all that apply.
Tamara should substitute k = 30 into the equation 39 + 2 k = 69.
After she substitutes the correct value for k into the equation, Tamara should find that the left side of the equation is equal to the right side.
Tamara should substitute k = 15 into the equation 39 + 2 k = 69.
After she substitutes the correct value for k into the equation, Tamara should find that the left side of the equation is not equal to the right side.
To verify the solution to the equation, Tamara multiplies the solution by 2 and then adds it to 39. Then, she checks that it is equal to 69.
To verify the solution to the equation, Tamara adds the solution to 2 and then adds it to 69. Then, she checks that it is equal to 39.
Answers
Answer: 1,3,5
Step-by-step explanation:
Just took the quiz
Answer:
2,3,5
Step-by-step explanation: i got it right on my test
i hope this helps sorry if it didn't
I NEED HELP PLEASE!!!!!!!
1) How long is it from 9:15 am to 4:48 pm? h
2) Find the value of 4n if n=7
3) Solve the equation 3y=21
4) Change the index notation of a⁴ to its factors
Answers
2) 28
3) y = 7
4) a times a times a times a
Katie wants to buy a bracelet. She only has $30 to spend. She has found a bracelet with a regular price of $45 and a discount of 35%. If the sales tax is 7%, will she have enough to buy the bracelet? If so, how much money will Katie have left? If not, how much more money will she need?
Answers
Given :
Money Katie has, M = $30.
She has found a bracelet with a regular price of $45 and a discount of 35%.
The sales tax is 7%.
To Find :
Will she have enough to buy the bracelet.
Solution :
Original price = $45 .
Price after discount = $( 45 - 45×0.35) = $29.25 .
Selling Price = $( 29.25 + 29.25×0.07 ) = $31.2975 .
Since, selling price is greater than $30.
Money needed = $( 31.2975 - 30 ) = $1.2975 .
Therefore, Katie will not buy the bracelet.
Chips are $1.49 a bag. They are 27% off. What is the new price?
A. $1.09
B. $3.20
C. $87.25
Answers
Answer:
A
Step-by-step explanation:
you do 1.49 x 0.79 to find the remaining amount after the discount and it is 1.09
why doesn’t 0^1 equal 0 but 1^1 equals 1 and 1^0 . can you explain why?
Answers
Answer:
because 0^1 equals 1
Step-by-step explanation:
in most cases anything to the power of 0 would equal one so that means that 0 to the power 1 would equal one.. I think
√12
A. 2√5
B. 2√3
Which one?
Answers
Answer:
B. [tex]2\sqrt{3}[/tex]
Hope this helps!
Answer:
B.2√3
Explanation:
√2^2×√3
√2^2√3
2√3
Help ASAP please please plsssssssssssss
Answers
Answer: 11 1/3 (eleven and one third)
Step-by-step explanation:
The surface temperature ranges from -2°C to 31°C. Find the difference between the max and min temperatures.
Answers
Answer:
33
Step-by-step explanation:
Answer:
29c
Step-by-step explanation:
Diana is buying plates and cups for a party. She wants the same number of each. Plates are sold in packs of eight and cups are sold in packs of 12. What is the least number of plates and cups she can buy? How many packs of plates? How many packs of cups? Explain how you know.
Answers
Answer:
The least number of plates and cups she can buy is 24
She will buy 3 packs of plates
She will buy 2 packs of cup
Step-by-step explanation:
Plates = 8 per pack
Cups = 12 per pack
Find the Lowest common multiple of 8 and 12
8 = 16, 24, 32, 40, 48, 56, 64, 72, 80
12 = 24, 36, 48, 60, 72
What is the least number of plates and cups she can buy?
The Lowest common multiple of 8 and 12 is 24
The least number of plates and cups she can buy is 24
How many packs of plates?
Packs of plates = 24 plates / 8 per pack
= 3 packs
She will buy 3 packs of plates
How many packs of cups?
Packs of cups = 24 / 12 per pack
= 2 packs
She will buy 2 packs of cup