Answers
Answer/Step-by-step explanation:
Given, y = k√x
Let's find the following:
a. To find k, using the first pair given, (64, 16), plug in the values of the ordered pair into y = k√x
Thus:
16 = k√64
16 = k*8
Divide both sides by 8
16/8 = k
k = 2
b. To find F, substitute k = 2, and x = 100 into y = k√x
Thus:
y = 2√100
y = 2*10
y = 20
F = 20
c. To find x, substitute k = 2, and y = 10√2 into y = k√x.
Thus:
10√2 = 2√x
Divide both sides by 2
(10√2)/2 = √x
5√2 = √x
Square both sides
x = (5√2)²
x = 25*2
x = 50
d = 50
Related Questions
Please Help me!! It's for testing!
Jude is going from his house to the library. He walks as a rate of 100 yards per minute and bikes as a rate of 300 yards per minute. On his way to the library, Jude walks for 12 minutes and then rides his bike the rest of the way. The library is 6000 yards from his house.
How many minutes did it take Jude to go from his house to the library?
22 Minutes
28 Minutes
30 Minutes
48 Minutes
Answers
Answer:
28 minutes
Step-by-step explanation:
100 yards times the 12 minutes he walked = 1200 yards. 6000-1200=4800
4800÷300=16
16 + 12 = 28
Answer:
28 Minutes
Step-by-step explanation:
The library is 6000 yd from the house.
He walks at a rate of 100 yd per minute for 12 minutes, which is 1200 yd of progress.
He bikes the rest of the 4800 yd on his bike at a rate of 300 yd per minute.
4800/300=16 minutes.
16+12=28 minutes.
Solve the following equations
3x-6y=14
y=x+4
Answers
Answer:
y=2
Step-by-step explanation:
\©°©°©°¥=¥=€=€°`°€°€°%=
y= -26/3
(Those are fractions the first number goes on top and the second number goes on the bottom in case you didn’t know :) )
please help me on this! will give you brainliest, thank you.
Answers
Answer:
a=music
b=3
c=mary and dan
Step-by-step explanation:
a) music
b) 3 students
c) Mary and Dan
6(2a + b) + b A. 12a + 12b B. 12a + 7b C. 8a + 8b D. 8a – 8b
Answers
Answer:
Step-by-step explanation:
6(2a + b ) +b
12a + 6b +b
12a + 7b
so answer B looks good
Answer: B) 12a+7b
Step-by-step explanation:
6(2a+b) +b
12a+6b+b
Combine like terms
12a+7b
Therefor B is correct
2)
1.) 3x+3y 6
2x+2y=4
Answers
Answer:
y este egal cu 1
x este egal cu un
Step-by-step explanation:
2 plus 2 egal cu patru( adica 2 ori unu plus 2 ori 1)
La fel si la cea cu 3.
Sper că te am ajutat!!!
Therefore,
X=0
Y=2
,,,The solution is above in the picture
hey it is pretty late i hope u get your work done and get good sleep and have some points
Answers
Answer:
Thanks for the points. ❤❤which one is greater 1.72 or 1.720
Answers
Answer:
there equal.
Step-by-step explanation:
Answer:
They are equal.
Step-by-step explanation:
If there is a 0, it doesn't necessarily mean they are different numbers.
H(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}h(n)=−91⋅(− 7 1 ) n−1 h, left parenthesis, n, right parenthesis, equals, minus, 91, dot, left parenthesis, minus, start fraction, 1, divided by, 7, end fraction, right parenthesis, start superscript, n, minus, 1, end superscript Complete the recursive formula of h(n)h(n)h, left parenthesis, n, right parenthesis.
Answers
Given:
[tex]h(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}[/tex]
To find:
The recursive formula.
Solution:
We have,
[tex]h(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}[/tex]
It is in the form of explicate formula of a GP, .i.e., [tex]a_n=ar^{n-1}[/tex].
Here, [tex]a=-91[/tex] and [tex]r=-\dfrac{1}{7}[/tex].
The recursive formula of a GP is
[tex]a_n=a_{n-1}\times r[/tex]
Using this the recursive formula for given problem is
[tex]h(n)=h(n-1)\times (-\dfrac{1}{7})[/tex]
Therefore, the required recursive formula is [tex]h(n)=h(n-1)\times (-\dfrac{1}{7})[/tex].
Plss can someone help me out with thissss!!!!!!!!!!!
Answers
Do sb know da answerrrrr ?
Answers
Answer:
If I’m not wrong I think it’s the first one
Step-by-step explanation:
The angle between the generator and the central axis of a double-napped cone is 50°. Which conic section is formed
when a plane intersects the central axis at 50°?
circle
ellipse
parabola
hyperbola
Answers
Explanation:
PLS HELP I NEED AN ANSWER ASAP
Answers
Answer:
4/sin (35)
Step-by-step explanation:
sin(35)=4/AB
1,615 / 10 the the power of 2
Answers
3. 'a' and 'b' are the intercepts made
by a straight-line with the co-
ordinate axes. If 3a = b and the line
pass through the point (1, 3), find
the equation of the line.
Answers
Given:
'a' and 'b' are the intercepts made by a straight-line with the co- ordinate axes.
3a = b and the line pass through the point (1, 3).
To find:
The equation of the line.
Solution:
The intercept form of a line is
[tex]\dfrac{x}{a}+\dfrac{y}{b}=1[/tex] ...(i)
where, a is x-intercept and b is y-intercept.
We have, 3a=b.
[tex]\dfrac{x}{a}+\dfrac{y}{3a}=1[/tex] ...(ii)
The line pass through the point (1, 3). So, putting x=1 and y=3, we get
[tex]\dfrac{1}{a}+\dfrac{3}{3a}=1[/tex]
[tex]\dfrac{1}{a}+\dfrac{1}{a}=1[/tex]
[tex]\dfrac{2}{a}=1[/tex]
Multiply both sides by a.
[tex]2=a[/tex]
The value of a is 2. So, x-intercept is 2.
Putting a=2 in [tex]b=3a[/tex], we get
[tex]b=3(2)[/tex]
[tex]b=6[/tex]
The value of b is 6. So, y-intercept is 6.
Putting a=2 and b=6 in (i), we get
[tex]\dfrac{x}{2}+\dfrac{y}{6}=1[/tex]
Therefore, the equation of the required line in intercept form is [tex]\dfrac{x}{2}+\dfrac{y}{6}=1[/tex].
HELP ASAP An office employee ears $600 weekly. Find the equivalent earnings if paid biweekly, semimonthly, monthly, and annually
Answers
1200~bi-weekly
1200~semimonthly
2400~monthly
31,200~annually
1. Choose the correct common fraction.
0.13
0.3
none of these
1/3
Answers
Gabby spent 44.10 for 14 gallons of gas. What was the unit cost, or price per gallon
Answers
Because
44.10/14=3.15
Hope this helps
Have a great day/night
In triangle ABC, m_A = 55°, m B = 30°, and a = 8. Which equation should you
solve to find b?
Answers
Answer:
B) sin55/8 = sin30/b
Step-by-step explanation:
Just did it on AP3X :)
Kim finds a 1-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains
Answers
Answer:
3/5
Step-by-step explanation:
We want to find the fraction of the original branch that remains, so we will assume a length of the branch in order to make our calculation easier.
Since Kim marks it off in thirds and fifths, let's find the least common multiple of 3 & 5.
Least common multiple of 3 & 5 is 15.
Thus,let's make the length of the branch to be 15-meter long.
Now, if the branch is 15 m long, considering the markings of thirds and fifths, the branch would be cut at:
3, 5, 6, 9, 10, 12 meters.
We are told that She then breaks the branch along all the markings and removes one piece of every distinct length. Thus;
Distinct lengths are;
3 metres
5 - 3 = 2 metres
10 - 9 = 1 meter
Total she removes = 3 + 2 + 1 = 6 meters.
Total remaining is;
15 - 6 = 9 meters
Expressing this as a fraction of the original branch gives:
9/15
Divide both numerator and denominator by 3 to get; 3/5
2(x + 7) + 3 x = 12
what is the first step In solving this equation for x?
Answers
Answer:
The first step would be to distribute that 2 into the numbers in the parenthesis.
Step-by-step explanation:
Answer:
Step-by-step explanation:
I feel like there are many ways to begin this problem, but I'd distribute the 2(x+7) so that you are left with 2x+14. This way you can add 2x and 3x and subtract 14 to the other side.
evaluate 2/3 (10-6) 1/2
Answers
Answer:
[tex] = \frac{2}{3} (10 - 6) \frac{1}{2} [/tex]
[tex] = \frac{2}{3} (4) \frac{1}{2} [/tex]
[tex] = \frac{8}{3} \times \frac{1}{2} [/tex]
[tex] = \frac{4}{3} [/tex]
When a figure is rotated, does every point move the same distance? Explain. *
No. The angle of rotation is different for each point, and each point and its image are, therefore, different distances from the center of rotation, so the distance each point moves varies.
Yes. Since the angle of rotation is the same, the distance that each point moves is the same.
No. Although each point is rotated through the same angle, points that are different distances from the center of rotation move different distances.
Yes. When rotating a figure, the rotation indicates that each point moves the same distance, such that the angle of rotation may vary from point to point.
Answers
Answer:
Yes. Since the angle of rotation is the same, the distance that each point moves is the same.
Step-by-step explanation:
Answer Yes. Since the angle of rotation is the same, the distance that each point moves is the same i think
Step-by-step explanation:
What is the equation of the line that has a slope of Y and contains the point (0, 3)?
Answers
Answer:
B
Step-by-step explanation:
if you take your anwser and multilpy it by the factor you get B
Answer:
equation of line in y
Step-by-step explanation:
slope Y and given point (0,3)
y=3
or y-3=0
0 = 4(3.14)/5 ;r = 9 cm
Answers
Answer:
i don't think i know the answer to your question
Step-by-step explanation:
SIMPLE CORDINATE PLOTTING! BRAINLIEST, 5 STAR, AND A LIKE ON UR ANSWER. SHOW SOME WORK.
Answers
Answer:
A
Step-by-step explanation:
( 2, -5 )
( -2, -5)
Hope this helps dude
Answer:
A is your answer :)
Step-by-step explanation:
What is the value of x?
Answers
Answer:
the value of x is one of those answers i can tell you son
Step-by-step explanation:
and it is NOT 3/4 thast FOR SURE
A virtual reality headset lists for $719. Find the net cost after trade discounts if the series discount is 10/30.
Answers
Answer:
479.33
Step-by-step explanation:
10/30 is the same as 1/3 or 33.34%.
Multiply the fraction to the original price then subtract.
719 * 1/3 = 239.67
719 - 239.67 = 479.33
Best of Luck!
The areas of two rectangles can be represented by the functions shown. Which function represents the difference in the areas, h(x) = f(x) – g(x)? h(x) = 4x2 – 4x – 11 h(x) = 4x2 – 4x + 11 h(x) = –4x2 + 4x + 11 h(x) = 4x2 – 4x – 9
Answers
Answer:
x ^2 + 5xStep-by-step explanation:
Let the area of the two triangles be expressed as;
f(x)= 4x^2+6x
g(x)=3x^2-x
Taking the difference
h(x) = f(x) - g(x)
h(x) = 4x ^2+6x - 3x^2-x
Collect like terms'
h(x) = 4x ^2 - 3x^2+6x-x
h(x) = x ^2 + 5x
Hence the difference is x^2 + 5x
Note that the functions were assumed. The same methos can be applied to any other given functions.
Answer:
B: h(x) = 4x2 – 4x + 11
Step-by-step explanation:
I just did the assignmement on EDGEN and it's 200% correct!!
Also, heart and rate if you found this answer helpful. (P.S it makes me feel good to know that I helped someone today!!)
is it bad if you over think to much (ik its not question but i really dont no one to talk to rn so ....)
Answers
if you get the right answer, no. if you get the wrong answer yes
it all depends on what the question is and such
Answer: No not unless it affects you and your mental health
Step-by-step explanation:
Im a huge over thinker and i blame myself for a lot of things that arent even my fault. Over thinking things isnt always the best way to go you should always have someone to talk to. If your feeling worthless or down just know you are enough! You are perfect and dont try to change it for anyone. Its not bad to overthink unless it affect you so greatly that it hurts to smile. I know times are tough right now but you will get through it just stay strong. I hope this helped :)
On a certain day, a bakery produced a batch of rolls at a total production cost of $300. On that day, 4 5 of the rolls in the batch were sold, each at a price that was 50 percent greater than the average (arithmetic mean) production cost per roll. The remaining rolls in the batch were sold the next day, each at a price that was 20 percent less than the price of the day before. What was the bakery's profit on this batch of rolls
Answers
Answer:
$108
Step-by-step explanation:
Let number of rolls produced = [tex]x[/tex]
Total production cost = $300
Average production cost can be found by dividing the total production cost with the number of rolls produced.
Average production cost per roll = $[tex]\frac{300}{x}[/tex]
[tex]\frac{4}{5}[/tex] of the rolls were sold at a price 50% higher than the average production cost per roll.
i.e.
Money earned by selling [tex]\frac{4}{5}[/tex] of the rolls:
[tex]\dfrac{4}{5}x \times \dfrac{300}{x}\times \dfrac{150}{100}\\\Rightarrow \$360[/tex]
Money earned by selling the remaining the remaining rolls:
[tex]\dfrac{1}{5}x\times \dfrac{300}{x}\times \dfrac{80}{100}\\\Rightarrow \$48[/tex]
Total money earned by selling all the rolls = $360 + $48 = $408
Total profit can be calculated by subtracting the total production cost from the total money earned.
Total profit = $408 - $300 = $108