Answer: 18.66 miles per hour.
Step-by-step explanation:
The velocity of the Kayak can be written as the velocity of the kayak in still water plus the rate of the current.
If K is the velocity of the kajak, and C the velocity of the current, we have that:
When the kajak moves along with the current, for a given time T.
(K + C)*T = 10mi
when the kajak move against the current:
(K - C)*T = 4mi
now we can replace C by 8mph, and take the quotient of both equations:
((K + 8mph)*T)/(K - 8mph)*T)) = 10mi/4mi
(K + 8)/(K-8) = 10/4
K + 8 = (K- 8)*10/4
K + 8 = K*10/4 - 20
K*10/4 - K = K*6/4 = 20 + 8 = 28
K = 28*4/6 = 18.66
So the rate of the kajak is 18.66 miles per hour.
What does measuring the spread of a data set tell us, and why is that significant?
Step-by-step explanation:
Measure of spread is used in describing the variability in a sample.
Examples of measure of spread are: Mean, Median and Mode.
A measure of spread helps in giving an idea of how well the mean, or mode, or median, whichever of the three measure of spreads we use, represents the data under consideration. If the spread of values in the data set is large, that means there a lot of variation between the values of the data set. It is always better to have a small spread.
Answer:
Measuring the spread of a data set tells us how far are the values of data set to respect the mean. For example, large mean absolute deviation (MAD) value indicates that the values of data set are very different from the mean, i. e., they are very spread. Therefore, the mean is not representative of the data. On the other hand, in a small spread case, the mean is representative.
Which expression is equivalent to
Answer:
A. [tex]x^\frac{5}{3}y[/tex]
Step-by-step explanation:
Could u pls show me step by step
Answer:
Area = 36 sq. units
Step-by-step explanation:
The 3 values you need to solve for the area are the top base length, bottom base length, and height.
Top base length = 7 . It's the distance between point A and B.
Bottom base length = 11. It's the distance between points C and D.
Height = 4. It's the perpendicular distance from the top to the bottom base.
The formula to solve the area of a trapezoid (or trapezium, I'm American) is:
A = [tex]\frac{1}{2}h(b_{1} +b_{2})[/tex]
Put in the numbers above for the unknowns and you will get this:
A = [tex]\frac{1}{2}(4)(7 + 11)[/tex]
Simplify:
A= [tex]\frac{1}{2}(4)(18)[/tex]
A = 2(18)
A = 36
So the answer is 36. Hope I helped!
Answer:
36
Step-by-step explanation:
top base= B(x)-A(x)= 10-3= 7
bottom base= C(x)- D(x)= 12-1= 11
height= A(y) - D(y) = B(y)- C(y)= 5-1=4
Area= 1/2(7+11)*4= 36
A new car is purchased for 15700 dollars. The value of the car depreciates at 7.5% per year. To the nearest year, how long will it be until the value of the car is 10100 dollars?
It will take almost 6 years to depreciate the value of the car to 10100 dollars.
What is Depreciation?Depreciation is a term used to indicate the decreasing value of an asset over time due to use, unfavorable market conditions and so on.
Initial amount of the car = 15700 dollars
Depreciating percent = 7.5% = 7.5/100 = 0.075
Final amount = 10100 dollars
Number of years taken to depreciate the value of the car to 10100 dollars can be found by the formula,
A = P(1 + r)ⁿ
where A = 10100 dollars, P = 15700 dollars, r = -0.075.
10100 = 15700 (1 - 0.075)ⁿ
10100 / 15700 = (1 - 0.075)ⁿ
0.6433 = (0.925)ⁿ
Taking logarithm on both sides,
㏒ 0.6433 = ㏒ (0.925)ⁿ
We have the power rule for logarithms, ㏒ (mⁿ) = n ㏒(m)
㏒ 0.6433 = n ㏒ (0.925)
n = ㏒ 0.6433 / ㏒ (0.925)
n = 5.658 ≈ 6 years
Hence almost 6 years will be taken to depreciate the value of the car to 10100 dollars.
Learn more about Depreciation here :
brainly.com/question/14682335
#SPJ3
f(h) = 45+
20
h +0.5
g(h) = 45 + 33(0.5) (h+0.5)
Steps:
Question 1:
Step 1: Multiply both sides by h+0.5.
Step 2: Factor out variable f.
Step 3: Divide both sides by h^2+0.5h.
Question 2
Let's solve for g.
Step 1: Divide both sides by h.
Answers:
1: f=45h+42.5/h²+0.5h
2: g=16.5h+53.25/h
Please mark Brainliest
Hope this helps.
[tex] 8.4^3 \times 8.4^2 = [/tex]
help
Answer: 41821.19424
Step-by-step explanation:
-3x - 5=16 what does x equal?
Answer: -7
Step-by-step explanation:
-3x - 5 = 16 (add 5 to 16)
-3x = 21 (divide by -3)
x = -7
Answer:
-7
Step-by-step explanation:
-3x-5=16
add 5 to both sides
-3x=21
divide both sides by -3
x=-7
Type the slope-intercept equation of the line that passes through the points (5,7) & (0,6)
100 POINTS!!! WILL MARK BRAINLIEST FOR CORRECT ANSWER AND STEP BY STEP EXPLANATION! PLEASE ANSWER BOTH QUESTIONS
Answer:
840[tex]cm^{2}[/tex]
Step-by-step explanation:
8×6×15=720
5×6×4=120
720+120=840
Answer:
V= 840cm^3, V=800cm^3
Step-by-step explanation:
First you want to calculate the volume of the entire imaginary prism, 12×15×6
=1080,
afterwards you want to calculate the missing volume, which you can think of as a bite. First, find the sides.
12-8=4 5-15=10
Now calculate the volume of the bite, 4×10×6
=240
Now take the bite out of the sandwich, 1080-240
= 840
Follow the same steps, though this time the sides of the "bite" are given.
10×12×8
= 960
4×5×8
= 160
960-160 = 800 cm
can anyone rewrite quadratic function in standard form?
Answer:
hey I believe standard form would look like this: f(x) = a(x - h)^2 + k
this is regular form f(x)=ax^2+bx+c or something like x^2+4x+4.
I think H and K are the vertex
hope this is close to what your looking for.
Step-by-step explanation:
I think it's x^2+6x-18
a hot air balloon begins to descend towards the ground from a height of 2250 feet. If it descends at the rate of 150 feet per minute, find the height after 12 minutes.
Answer: 450 ft.
Step-by-step explanation:
h = 2250 - 150*12
h = 2250 - 1800
h = 450
The height after 12 min is 450 ft
Answer:
450
Step-by-step explanation:
-2250 - 150 x 12
-2250 - -1800
-450 put in postive
-276
Hope this helps
If you wanted to solve this system by elimination, what would I multiply the second equation by to eliminate the x's when the 2 systems are added? 4x- 3y = -5 and 21 + 6y = -15
4
-6
3
-2
Answer:
You simply multiply the second equation by -4/21
Answer:
There is no x in the second equation
In the United States, the average public school teacher currently earns an annual salary near $55,202. Reported national average salaries for the last six decades are listed below.
Year National Average
Teachers’ Salary
1960 $4,995
1970 $8,626
1980 $15,970
1990 $31,367
2000 $41,807
2010 $55,202
Determine the median in the national average teachers’ salary between the years 1960 and 2010.
$8,626.00
$50,207.00
$15,970.00
$23,668.50
Answer:
$23,668.50
Step-by-step explanation:
Median is just the middle
What is m
Enter your answer in the box.
Answer:
Step-by-step explanation:
I don't say u must have to mark my ans as brainliest but if u think it has really helped u plz don't forget to thank me...
So the value of X is 50 degree
Look at the attached picture
Hope it will help you
Good luck on your assignment...
Subtract 5x2+2x-11 from 3x2+8x-7.Express the result as a trinomial.
Answer:
-2x^2 +6x +4
Step-by-step explanation:
3x^2+8x-7 - (5x^2+2x-11)
Distribute the minus sign
3x^2+8x-7 - 5x^2-2x+11
Combine like terms
3x^2 - 5x^2+8x -2x+11-7
-2x^2 +6x +4
A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.
Answer:
A is TRUE (44 in²*2=88 in²)
B is FALSE x(x-3)=88 (the rectangle) or x(x-3)/2=44 (the triangle)
C is TRUE if x(x-3)=88==>x²-3x-88=0
D is TRUE :
x²-3x-88=0
Δ=9+4*88=361=19²
==>x= 11 or x=-8 (excluded for <0)
E is FALSE for 11*4≠88
Step-by-step explanation:
correct me if i am wrong
A,C, D.
because i got it right!
30 points!
The table shows the number of miles driven over time. Express the relationship between distance and time in a simplified form as a unit rate.
Time (hours): 4, 6, 8, 10
Distance (miles: 188, 282, 376, 470
Answer:
47 miles per hour
Step-by-step explanation:
Answer:
The unit rate for the amount of miles driven every hour is is 1:47
Step-by-step explanation:
188 / 4 = 47
282 / 6 = 47
376 / 8 = 47
470 / 8 = 47
Note that the symbol / is the equivalent of a division sign in math.
The slope was found using the points (6.4, 117) and (6.6, 120). What is the value of b in the equation of the trend line?
y = 15x + b
Answer:
21
Step-by-step explanation:
Equation of the given line y = 15x + b.
Points passing through the above line (6.4, 117) and (6.6, 120)
If these point pass through the given line.
These point should satisfy the equation.
plugging in value of one of the point (6.4, 117) in the line y = 15x + b
we have
117 = 15*6.4 + b
=> 117 = 96 + b
=> 117 - 96 = b
=> b = 21
Thus, value of b in the given equation is 21.
Answer:
21
Step-by-step explanation:
When x = 6.4, y=117, therefore
15*6.4 + b = 117
b = 117 - 96 = 21
Also, I got it right on ed
Which two numbers... add to 5 and multiply to -14?
Answer:
-2 and 7
the only factors for 14 is 1,14 and 2,7 so you just see which has a difference of 5.
Hope this helps
Step-by-step explanation:
Should the graph of x+3y<-8 be shaded above or below the boundary line ?
Answer:
It will be below the boundary line
which of the following three sets of lens could be used to form a right triangle
39, 15 and 36 .
12, 8 and 4
.13, 17 and 9
Or none of the above
Answer:
(39, 15, and 36)
Step-by-step explanation:
If your talking about the first number being the hypotenuse, then the answer would be correct
Solve for missing angle, show your work : HELP!
Answer:
105
Step-by-step explanation:
The interior angles must sum to 360
360-91+82-82 = 105
∠a and ∠b are complementary angles. ∠a measures 55 degrees
What is the measure of ∠b?
Answer:
<b = 35
Step-by-step explanation:
Complementary angles add to 90 degrees
a + b = 90
55 + b = 90
Subtract 55 from each side
55+b-55 = 90-55
b = 35
Answer:
<b=35
Step-by-step explanation:
Complementary means 90 degrees
and 90-55= 35 degrees
how do you find volume if you only have the surface area
which of the following describes the zeros of the graph...
Answer:
d) 0 with multiplicity 3 , -3 with multiplicity 1 and - 6 with multiplicity 1
Step-by-step explanation:
Explanation:-
Given polynomial equation
⇒ - x⁵ + 9 x⁴ - 18 x³
⇒ - x³ ( x² - 9 x + 18 )
⇒ - x³ ( x² - 6 x - 3 x + 18)
⇒ - x³ ( x(x - 6) - 3( x - 6))
⇒ - (x-0)³ (x-6)(x-3)
∴ The Zeros of the given function is 0 with multiplicity 3 , -3 with multiplicity 1 and - 6 with multiplicity 1
The system of linear equations y = 2 x minus 1 and y = negative 4 x minus 1 is graphed below. What is the solution to the system of equations? (0, –1) (–1, 0) (0, 1) (1, 0)
Answer:
0,-1
Step-by-step explanation:
Answer:
It is (0,-1)
Step-by-step explanation:
I just did it no kapp
Part A: is x = 6 a solution of the equation 8x + 8 = 56? Explain. Part B: Suppose the solution of the equation stays the same. How would the right side need to change if the solution is now x = 9?
Answer:
Part A: yes . Part B: minus 24
Step-by-step explanation:
Part A
8x + 8 = 56
8x = 56-8
8x = 48
x = 48 / 8
x = 6 , YES!
Part B
Suppose x = 9 and find y:
8(9) + 8 + y = 56
80 + y = 56
y = 56 - 80
y = -24
So we have to add -24 to the equation. The new equation: 8x + 8 - 24 = 56
Can someone help me with this question?
Answer:
nope
Step-by-step explanation:
lol this is a joke dont take it srsly
Solve the equation. Then check your solution.
n/54 = 4/9
a. 24
b. 2/3
c. 6 4/9
d. 121 1/2
[tex] \frac{24}{54} = \frac{4}{9} \\ we \: have \: to \: cancel \: with \: 6 \\ \frac{4}{9} = \frac{4}{9} [/tex]
hope it helped :-)Tollows.
1. For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost of babysitting.
When finished writing the equation, graph your line and answer the questions.
Equation: _y=5*x+3
If the babysitter made 48 dollars, how long did they babysit for?
Answer:
The equation is y=5x+3. If she made 48 dollars, she babysat for 9 hours.
Step-by-step explanation:
y= $48
48=5x+3
48-3=45
45=5x
45/5=9
x=9
To plot on graph, put one point at point (0,3), then, go up 5, over 1, and plot another point. Keep doing that until you have a few points and then use a ruler ot connect the dots.
