Answer:
y is directly proportional to 8
while x is inversily proportional to 8
in her kayak bunny can travel 70 miles downstream with the current in 5 hours. the return trip against the current takes 7 hours. find the speed of the kayak in Stillwater and the speed of the current
9514 1404 393
Answer:
kayak: 12 mphcurrent: 2 mphStep-by-step explanation:
Bunny's rate downstream is ...
(70 mi)/(5 h) = 14 mi/h = k + c
Bunny's rate upstream is ...
(70 mi)/(7 h) = 10 mi/h = k -c
The kayak speed is the average of these:
(14 mi/h +10 mi/h)/2 = ((k +c) +(k -c))/2
(24 mi/h)/2 = 2k/2
12 mi/h = k
Then the current speed is ...
c = k -10 = 12 -10 = 2 . . . . mi/h
The still-water speed of the kayak is 12 mi/h; the speed of the current is 2 mi/h.
_____
Additional comment
World-class kayak paddlers will not maintain a speed more than 8 mi/h for that distance and/or time (140 miles in 12 hours). Bunny is exceptional.
What is the volume of the following figure? (Round your answer to the
nearest tenth and leave it in terms of pi.)
Width= 18 m length=10 m
A 180mm
B. 3240mm
C. 810 m
D. 8171 m
PLEASE HELP
What is the domain of a quadratic functions that opens up or down?
Identify the equation that correctly shows the given relationship.
Lester made a scale drawing of a house. The scale he used was 1 inch : 2 feet. In the drawing, the hall closet is 3 inches long. What is the length of the actual closet?
Answer: 6 feet
Step-by-step explanation:
1 inch= 2 feet
so
3 inches = 6 feet
ratio
Answer: 6
Step-by-step explanation:
Pls help I’ll mark brainliest
Answer:
Answer:
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Answer:
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Find the absolute maximum of (x^2-1)^3 in the interval [-1,2]
Let f(x) = (x ² - 1)³. Find the critical points of f in the interval [-1, 2]:
f '(x) = 3 (x ² - 1)² (2x) = 6x (x ² - 1)² = 0
6x = 0 or (x ² - 1)² = 0
x = 0 or x ² = 1
x = 0 or x = 1 or x = -1
Check the value of f at each of these critical points, as well as the endpoints of the given domain:
f (-1) = 0
f (0) = -1
f (1) = 0
f (2) = 27
So max{f(x) | -1 ≤ x ≤ 2} = 27.
Paula kitten weighs 3 1/2 pounds write this weight in the boxes using pounds and ounces.
Answer:
Step by step explanation
First, we have to convert 3 1/2 into a decimal, so we have to do the following:
1/2 = 1 divided by 2 3 1/2 = 3 + (1÷2) = 0.5 (1 ÷ 2 done by long division)
Then we add the whole number.
3 + 0.5 = 3.5
Next, we multiply
3.5 x 16 = 56 ounces.
Answer:
3 pounds and 8 ounces
Step-by-step explanation:
1 pound (lbs) = 16 ounces (oz)
Using both pounds and ounces, the problem is asking us to eliminate the decimal and substitute it for the number of ounces (a smaller unit than pounds)
So we know it is 3 pounds, but what is half a pound equal to in terms of ounces?
Remember 1 lb = 16 oz, so 1/2 of a lb = half of 16 oz
Half of 16 (or 16 ÷ 2) equals 8
Therefore, half a pound equals 8 ounces
Combining the two units together means the boxes weigh 3 pounds and 8 ounces
1600, 400, 100, 25, ...
O Arithmetic
O Geometric
O Neither
Answer 5750$
Given below are lease terms at the local dealership. What is the total cash
due at signing?
.
.
Terms:
Length of lease = 24 months
MSRP of the car = $36,600
Purchase value of the car after lease = $30,200
Down payment = $4800
Monthly payment = $525
$445 security deposit
$505 acquisition fee
A. $6275
B. $5750
C. $5770
D. $5830
Answer:
$6275
Step-by-step explanation:
The cash due at signing should include :
The down-payment ; The monthly payment for that particular month ; Acquisition fee and Security deposit.
Down payment = $4800
Monthly payment = $525
Security deposit = $445
Acquisition fee = $505
Total :
$(4800 + 525 + 445 + 505)
= $6275
Answer:
6750
Step-by-step breast inspection:
Can someone please help me is the last one☝ that k need
Help! I don’t know how to work with slopes
Pearl deposited $60 into her savings account. According to the rule of 72, what interest rate will cause her money to double in approximately 33 years?
Answer:2.2%
Step-by-step explanation:
Janae solved the equation 3.67 = c − 2.13 , and found the value for c. Janae's solution was c =1.54 Do you agree or disagree with her solution. Explain. Show your work.
Answer:
Solution;
given equation : 3.67 = c - 2.13
On solving equation, we get
c = 3.67 +2.13
c = 5.8
Hence, Janae solution is incorrect. So I disagree.
Whats 2x36 PLEASE HELP ILL GIVE BRAINLYEST
Answer:
It is 72
Step-by-step explanation:
Hope it helps
Answer:
72
Step-by-step explanation:
It was very easy question.
A new car costs $28,000. It is expected to depreciate at an average rate of 8% per year.
Find the value of the car in 8 years.
Answer:
35
Step-by-step explanation:
Line m passes through the points (-4.3) and (4.7). What is the slope of the line that is parallel to line m?
Step-by-step explanation:
slope equals to change in y/change in x
slope=7-3/4+4
=4/8=1/2
The New York Times and CBS News conducted a nationwide poll of 1048 randomly selected 13- to 17-year-olds. We can consider the sample to be a SRS.
a. Of these 1048 teenagers, 692 had a television in their room. Give a 95% confidence interval for the proportion of all people in this age group who had a TV in their room at the time of the poll
b. Of the 1048 teens surveyed, 189 named Fox as their favorite television network. Give a 90% confidence interval for the proportion of all people in this age group who would choose Fox as their favorite network.
c. Suppose you were to change the confidence level in (b) to 95% using the same sample. How would the confidence interval change? No calculations necessary.
a. The confidence interval would be the same width but shifted to the left
b. The confidence interval would be the same width but shifted to the right
c. The confidence interval would have the same center but be wider
d. The confidence interval would have the same center but be narrower
Anyone can help please?
How
many solutions does the equation 4X + 8 = - 2 - 2 + 5x have?
Two
® One
Zero
Infinitely many
Answer:
x = 12
Step-by-step explanation:
by direct solution
otherwise this system many solution
Answer:
one
Step-by-step explanation:
4x+8=-4+5x
or, 5x-4x = 8+4
hence,
x=12
Find the value of x in the parallelogram below.
Answer:
B) x = 12
Step-by-step explanation:
m∡EOU = m∡TQE
m∡EOU =180 - (39+45) = 96°
m∡TQE: 7x + 12 = 96
7x = 84
x = 12
Which expressions represent 1 less than the product of 3 and 4? Check all that are true. 2) 0 (3 X 4) - 1 O 3 X 4 - 1 3 x (4 - 1) -) 0 1 - (3 X 4) 0 1 - 3 X 4
Answer:
(3 x 4) - 1 and 3 x 4 - 1
Step-by-step explanation:
Hope this helps!
Can someone help me pls
Answer: A=53.576 degrees
Step-by-step explanation:
Cos A= adjacent/hypt
Cos A= 19/32
Cos A= .59375
inverse of Cos A=.59375
A=53.576 degrees
Answer:
A = 53.58°
Step-by-step explanation:
cos A = 19/32
cos A = 0.5938
A = 53.58°
Victor sells bouquets of flowers at a farmers market. He earns a flat rate for each bouquet sold, shown on the graph below. The table below shows the number of bouquets Victor sold last week. Fill in the table to show how much money Victor earned.
Answer:
Attach the graph so we can help lol
Step-by-step explanation:
Anna is making 11 necklaces using 35 beads for each. How many beads (B) are needed to make all of the necklaces?
es
Step-by-step explanation:
11×35
11 necklaces and 35 beads per necklace
385
or 385 beads for all 11 necklaces
b=385
Molly makes 5 gallons of soup in a pot. Then, she fills bowls that each hold 1/16 gallon of soup until the pot is empty. How many bowls does Molly fill?
Answer: 4
Step-by-step explanation:
The number of bowls Molly fills is A = 80 bowls
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the total amount of gallons of soup be = 5 gallons
The amount of gallons of soup in each bowl = ( 1/16 ) gallons
So , the number of bowls filled A = total amount of gallons of soup / amount of gallons of soup in each bowl
On simplifying the equation , we get
The number of bowls filled A = 5 / ( 1/16 )
The number of bowls filled A = 5 x 16
The number of bowls filled A = 80 bowls
Therefore , the value of A is 80 bowls
Hence , the equation is A = 80 bowls
To learn more about equations click :
https://brainly.com/question/19297665
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Find the mean of the set of data.
3, 3, 8, 3, 8, 3, 8, 8, 1,3
The mean is ?? HELP WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
8
Step-by-step explanation:
48 because your adding them all up
Enter a value of b that will make the expression factorable.
x2^ + bx – 40
Karen invested $2,000 in a special savings account.
The balance of this special savings account will double
every 5 years. Assuming that Karen makes no other
deposits and no withdrawals, what will be the balance
of Karen's investment at the end of 40 years?
A. $ 80,000
B. $ 256,000
C. $ 400,000
D. $ 512,000
E. $1,024,000
Answer:
D. $512,000
Step-by-step explanation:
Well if the balance doubles every 5 years, then dividing 40 by 5 gives us the number of times the money will double, which is 8. We can then turn this into the equation [tex]2000(2^{8})[/tex]. [tex]2^8[/tex] can be simplified to 256. Multiply that by 2000 and we get our answer, 512000. Hope this helps!
Pls mark brainliest!Solve
You deposit $2000 in an account. The account earns $120 simple
interest in 2 years. What is the annual interest rate?
I=120
p=2000
I=prt
I=20000
=
t=2
Answer:
$160
Step-by-step explanation: