Answer:
k=100, n=3, 1.5625, 10
Step-by-step explanation:
To find n and k, we can plug x and z in.
First we can try this for (1,100). We will get:
[tex]100=\frac{k}{1^{n} }[/tex]
Since 1 to any power is 1, we can assume that the denominator is 1 and therefore k=100.
Armed with k=100, we can plug numbers into the second equation.
[tex]12.5=\frac{100}{2^{n} }[/tex]
Moving [tex]{2^{n} }[/tex] to the left side, we get:
[tex]2^n=\frac{100}{12.5} }=8[/tex]
therefore we can solve and we see that n=3.
We can do the same for x=4, but since we have n, k, and x, we can plug these in to get z
[tex]z=\frac{100}{4^{3}} =1.5625[/tex]
We will do the same as previous but instead plug in x
[tex]\frac{1}{10}=\frac{100}{x^{3} }[/tex]
We isolate [tex]x^{3}[/tex] and get
[tex]x^{3} =1000[/tex]
Therefore x=10
What is the product of the expression below?
4/7
×
5/8
ABCD is a parallelogram. Determine the value of a.
Answer:
a = 6
Step-by-step explanation:
The opposite sides of a parallelogram are congruent , so
BA = CD , that is
7a - 3 = 3 + 6a ( subtract 6a from both sides )
a - 3 = 3 ( add 3 to both sides )
a = 6
Answer:D
Step-by-step explanation:
I took the test
please help
x-3=x^(2)-10x+25
Answer:
x=7,4
Step-by-step explanation:
A sample of one-year-old girls had a mean weight of pounds with a standard deviation of pounds. Assume that the population of weights is normally distributed. A pediatrician claims that the standard deviation of the weights of one-year-old girls is less than pounds. Do the data provide convincing evidence that the pediatrician's claim is true
Answer:
cool and cool and cool and cool
What point lies on the line described by the equation y+8=4(x-5)
you buy 2.3 pounds of apples for $1.43 per pound. how much do you spend
Answer:
$3.36
Step-by-step explanation:
$1.43 = 1 lbs
$1.43 + $1.43 = $2.86
$2.86 + .3 = $3.36
What is the vertical asymptote of the function f(x) = (x - 5)/(x ^ 2 - 2x - 15)
Answer:
Vertical asymptote is at [tex]x=-3[/tex]
Step-by-step explanation:
Let us plot the function
Here
[tex]\frac{x-5}{x^{2}-2x-15}=\frac{x-5}{(x-5)(x+3)}\\\\=\frac{1}{x+3}[/tex]
Function does not exits at [tex]x=-3[/tex]
Vertical asymptote is at [tex]x=-3[/tex]
The coordinates of the point that is a reflection of Y(-4,-2) across the x-axis are what. The coordinates of the point that is reflection of y across the y-axis are what?
Answer:
Step-by-step explanation:
across x axis:(-4,2)
across y-axis:(4,-2)
The persons income increased from 27,000 to 40,000 over the last year. What is the percent change
Answer:
32.5
Step-by-step explanation:
Which statement below is TRUE about |-2| and |-5|?
|-5| is greater than |-2|
|-2| is greater than the |-5|
Neither statement is true
Answer:
|-5| is greater than |-2|
Step-by-step explanation:
the absolute value of -5, is 5, which is greater than the absolute value of -2, which is 2. Have a wonderful rest of your day! I hope this helps!
If you have three apples, and Jamal takes two.... what color is Jamal?
Answer:
Black
Step-by-step explanation:
what is 345.543 multyply by 46.34 devide by 666.89 ???? help faster 3 minutes remaining
Answer:
24.010
Step-by-step explanation:
hope it helps
What is 4/5 divied by 2/5
Answer:
2
Have a nice day :D
Answer:
2
Hope this helps
Evaluate the expression
[3(15+4)2 +2(20+5)2]0
0
5
1
2
0, 5, 5, 1, 2
is evaluate
how much simple interest will be earned in 3 years on $2500 in an account that pays 1.5%
Answer
Step-by-step explanation:
Answer:
$112.50
Step-by-step explanation:
1.5% = 0.015
$2500 × 0.015 × 3 = $112.50
need help math problem give you 5 stars and a good rating if you do this
Answer:
Add 9.6 then divide by 3.2
PLS ANSWER 30 POINTSSS
Answer:
letter B po
Step-by-step explanation:
basta letter B may ganyan din kame eh
Put the numbers in order from least to greatest: -2.15,-9/4,2,-2,-15/7
Someone Help?
Find the problem:
22 + 53x + x = -20 + 60x
22+ 54x = -20 + 60x
22= -20+ 6x
2= 6x
x = 1/3
Fix the problem (Rewrite and solve):
In the triangle below, which equation can
be used to solve for x?
The Rahul ages of and pushti are in the ratio 3 ratio 5 four years later the sum of their ages will be 48 what are their present ages
Answer:
Rahul is 15, Pushti is 25Step-by-step explanation:
Rahul age = r, Pushti age = p
Equations according to given info:
r / p = 3 / 5 ⇒ r = 3p/5r + 4 + p + 4 = 48 ⇒ r + p = 40 ⇒ r = 40 - pCompare the two equations and solve for p:
3p/5 = 40 - p3p = 200 - 5p3p + 5p = 2008p = 200p = 200/8p = 25Find the value of r:
r = 40 - 25 r = 15BRAINLIEST HELPPPP PLEEEASE
Being the same distance away from 0 if you add the positive and negative values together the answer would be 0.
Answer: x + y = 0
Which number is a factor of 14 but not a multiple of 7??
Answer:
2
Step-by-step explanation:
Write out all the factors for 14
Then write out the multiples of 7
Compare the numbers then find the greatest number in 14's factors that isn't in 7's multiples
Find x, y
Please try to explain how you did it
help!!!! PLEASEEE!!!
Answer:
it is a little blurry I cannot tell what d is
3) Solve the problem using your graphing calculator. Round all para meter values to the nearest hundredth.
Beatrice used a slingshot to launch an egg into the air. She recorded the egg's path using a motion detector. The following data represents the height (in feet) of the egg at certain time points (in seconds). Distance is the dependent variable and time is the independent variable: {(0.0, 16), (1.7, 20.46), (2.5, 23.16),(3.7, 23.51),(5.1, 20.07), (6.6, 12.4),(7.3,5.62), (8.0, 0.15)}
At approximately which time is the egg on the ground?
A). O seconds
B). 16 seconds
C). 8 seconds
D). -2 seconds
E). The egg is never on the ground.
Answer:
mmm, well, not much we can do per se, you'd need to use a calculator.
I'd like to point out you'd need a calculator that has regression features, namely something like a TI83 or TI83+ or higher.
That said, you can find online calculators with "quadratic regression" features, which is what this, all you do is enter the value pairs in it, to get the equation.
Step-by-step explanation:
I can write an equation
Answer:
Step-by-step explanation:
y = mx + b
slope m is found as the change in y over the change in x
as y decreases 3 units for a 3 unit increase in x, the slope is -3/3 = -1
The y intercept b is where the plot crosses the y axis, 4 units above the x axis
y = -1x + 4
or
y = 4 - x
x - y = 3
b) Work out the value of 2x – 2y
HELP
HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.
THX
Answer: the smallest is 2^5, 6^2, 3^4 and the largest is 5^3
What is the standard form of the parabola whose vertex form is y= 2(x+4)^2+5
A. y = 2x2 +16x - 37
B. y=-2x² + 4x - 25
C. y = 2x° +16x +37
D. y = 2x² + 4x - 25
[tex]y = 2(x+4)^2+5\implies y = 2(x+4)(x+4)+5 \\\\\\ y = 2(\stackrel{\mathbb{USING~FOIL}}{x^2+8x+16})+5\implies y= 2x^2+16x+32+5 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y = 2x^2+16x+37~\hfill[/tex]