Write a linear(y =mx + b) quadratic (y = ax exponent 2) or exponential (y = a(b) x) function that models the data HELP

Answer:

The  mass of  amino acid present is  85 g

Step-by-step explanation:

From the question we are told that

   The  volume of the total  parenteral nutrition is  [tex]V = 2000 mL[/tex]

Generally the volume of the amino acid present is  

                [tex]V_a = 0.0425 * 2000[/tex]

                [tex]V_a = 85 mL[/tex]

Generally  

               [tex]mass \ \ \alpha \ \ volume[/tex]

So the mass of amino acid present is 85g

Answer:

B

Step-by-step explanation:

64x2 + 400x + 625=(8x+25)^2

the negative will shift the graph right, so x = 1/2

the negative 2 will shift the graph down, so y = -2

Thus, the vertex is (1/2, -2)

Answer:

D question,somewhat confusing, itsit's like simultaneous equation,but values are different

Answer:

x = 4 + 2y/3

Step-by-step explanation:

Answer: Find answers in the attachment files

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

To find the equation of the line using a point and slope we use the formula

where m is the slope

(x1 ,y1) is the given point

From the question

slope = 3/2

point = ( 2 , - 1)

Substitute these values into the above formula

That's

[tex]y + 1 = \frac{3}{2} (x - 2)[/tex]

[tex]y + 1 = \frac{3}{2} x - 3[/tex]

[tex]y = \frac{3}{2} x - 3 - 1[/tex]

We have the final answer as

[tex]y = \frac{3}{2} x - 4[/tex]

Hope this helps you

Answer:

y= 3/2x -4

Step-by-step explanation:

Since we are given a point and a slope, we can use the point-slope formula.

[tex]y-y_{1} = m(x-x_{1})[/tex]

where m is the slope and (x1, y1) is a point the line passes through.

We know the slope is 3/2 and the point we are given is (2, -1).

[tex]m=\frac{3}{2} \\\\x_{1} = 2\\\\y_{1} = -1[/tex]

Substitute the values into the formula.

[tex]y- -1 = \frac{3}{2} (x-2)[/tex]

[tex]y+1=\frac{3}{2} (x-2)[/tex]

We want to find the equation of line , which is y=mx+b ( m is the slope and b is the y-intercept). Therefore, we must get y by itself on the left side of the equation.

First, distribute the 3/2. Multiply each term inside the parentheses by 3/2.

[tex]y+1= (\frac{3}{2} * x) + (\frac{3}{2} *-2)[/tex]

[tex]y+1= \frac{3}{2}x + (\frac{3}{2} *-2)[/tex]

[tex]y+1=\frac{3}{2} x + -3[/tex]

[tex]y+1=\frac{3}{2} x -3[/tex]

Next, subtract 1 from both sides.

[tex]y+1-1=\frac{3}{2} x + -3 -1[/tex]

[tex]y=\frac{3}{2} x + -3 -1[/tex]

[tex]y=\frac{3}{2} x -4[/tex]

Now the line is in slope intercept form, therefore the equation of the line is y=3/2x -4. The slope of the line is 3/2 and the y-intercept is -4.

Answer:

(a) O(x²)

(b) O(x²)

(c) O(x²)

(d) Not O(x²)

Step-by-step explanation:

If a function is O(x²), then the highest power of x in the function ia greater or equal to 2.

(a) 100x + 1000

This is O(x), not O(x²)

(b) 100x² + 1000

This is O(x²)

(c) x³.100 − 1000x²

This is O(x²)

(d) x log x²

This is not O(x²)

Answer:

-329

Step-by-step explanation:

1st term a1 = 3, common difference d = -4

84th term,

3+(84-1)(-4)

= -329

Answer:

the relation is not one-to-one.

Step-by-step explanation:

it can't because every number is in the 4th quadrant.  

Answer:

Step-by-step explanation:

It's 5/7

You get that by having a calculator that does that. If you don't then the way to do it is multiply the numerator and denominator by 1.25

4 * 1.25 = 5

5.6 * 1.25 = 7

Answer:

1.)149800

2.)75.9820

3.)49990

4.)29.900

Answer:

Hello,

Answer 303028

Step-by-step explanation:

Multiplication in base 9

[tex]\begin{array}{cccccc}9^5&9^4&9^3&9^2&9^1&9^0\\--&--&--&--&--&--\\&&&7&2&5\\&&&3&6&7\\--&--&--&--&--&--\\&&5&5&8&8\\&4&7&6&3&\\2&3&7&6&&\\--&--&--&--&--&--\\3&0&3&0&2&8\end{array}[/tex]

Answer:

$3

Step-by-step explanation:

Given

Total Cost Price: $12,000

Unit Cost Price= $6

Total Selling Price = $18,000

Required

Determine the profit on each share

First, we need to determine the units of share bought;

Units = Total cost price / Unit Cost Price

[tex]Units = \frac{\$12000}{\$6}[/tex]

[tex]Units = 2000[/tex]

Next is to determine the selling price of each share; This is calculated as follows;

Unit Selling Price = Total Selling Price / Units Sold

[tex]Unit\ Selling\ Price = \frac{\$18000}{\$2000}[/tex]

[tex]Unit\ Selling\ Price = \$9[/tex]

The profit is the difference between the unit cost price and unit selling price

[tex]Profit = Unit\ Selling\ Price - Unit\ Cost\ Price[/tex]

[tex]Profit = \$9 - \$6[/tex]

[tex]Profit = \$3[/tex]

Answer:

-t^3+13t^2-14t

Step-by-step explanation:

(-t^3+5t^2-6t)+(8t^2-8t)

Combine like terms

-t^3+5t^2+8t^2-6t-8t

-t^3+13t^2-14t

Answer:

the perimeter is : 40

the area is: 10,000

Answer:

3,069

Step-by-step explanation:

The sequence is doubling, so terms 1 through 10 are:

3, 6, 12, 24, 48, 96, 192, 384, 768, 1,536

3 + 6 + 12 + 24 + 48 + 96 + 192 + 384 + 768 + 1,536 = 3,069

Answer:

x= 5.5

Step-by-step explanation:

(segment piece) x (segment piece) =    (segment piece) x (segment piece)

x*4 = 11*2

4x = 22

Divide each side by 4

4x/4 = 22/4

x =5.5

It looks like we're given the Laplace transform of f(t),

[tex]F(p) = L_p\left\{f(t)\right\} = \dfrac6{p(2p^2+4p+10)} = \dfrac3{p(p^2+2p+5)}[/tex]

Start by splitting up F(p) into partial fractions:

[tex]\dfrac3{p(p^2+2p+5)} = \dfrac ap + \dfrac{bp+c}{p^2+2p+5} \\\\ 3 = a(p^2+2p+5) + (bp+c)p \\\\ 3 = (a+b)p^2 + (2a+c)p + 5a \\\\ \implies \begin{cases}a+b=0 \\ 2a+c=0 \\ 5a=3\end{cases} \implies a=\dfrac35,b=-\dfrac35, c=-\dfrac65[/tex]

[tex]F(p) = \dfrac3{5p} - \dfrac{3p+6}{5(p^2+2p+5)}[/tex]

Complete the square in the denominator,

[tex]p^2+2p+5 = p^2+2p+1+4 = (p+1)^2+4[/tex]

and rewrite the numerator in terms of p + 1,

[tex]3p+6 = 3(p+1) + 3[/tex]

Then splitting up the second term gives

[tex]F(p) = \dfrac3{5p} - \dfrac{3(p+1)}{5((p+1)^2+4)} - \dfrac3{5((p+1)^2+4)}[/tex]

Now take the inverse transform:

[tex]L^{-1}_t\left\{F(p)\right\} = \dfrac35 L^{-1}_t\left\{\dfrac1p\right\} - \dfrac35 L^{-1}_t\left\{\dfrac{p+1}{(p+1)^2+2^2}\right\} - \dfrac3{5\times2} L^{-1}_t\left\{\dfrac2{(p+1)^2+2^2}\right\} \\\\ L^{-1}_t\left\{F(p)\right\} = \dfrac35 - \dfrac35 e^{-t} L^{-1}_t\left\{\dfrac p{p^2+2^2}\right\} - \dfrac3{10} e^{-t} L^{-1}_t\left\{\dfrac2{p^2+2^2}\right\} \\\\ \implies \boxed{f(t) = \dfrac35 - \dfrac35 e^{-t} \cos(2t) - \dfrac3{10} e^{-t} \sin(2t)}[/tex]

Answer:

Step-by-step explanation:

The summary of the given statistics data include:

sample size n = 400

sample mean [tex]\overline x[/tex] = 6.86

standard deviation = 4.37

Level of significance ∝ = 0.01

Population Mean [tex]\mu[/tex] = 6.00

Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

To start with the hypothesis;

The null and the alternative hypothesis can be computed as :

[tex]H_o: \mu = 6.00 \\ \\ H_1 : \mu \neq 6.00[/tex]

The test statistics for this two tailed test can be computed as:

[tex]z= \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt {n}}}[/tex]

[tex]z= \dfrac{6.86 - 6.00}{\dfrac{4.37}{\sqrt {400}}}[/tex]

[tex]z= \dfrac{0.86}{\dfrac{4.37}{20}}[/tex]

z = 3.936

degree of freedom = n - 1

degree of freedom = 400 - 1

degree of freedom = 399

At the level of significance ∝ = 0.01

P -value = 2 × (z < 3.936)  since it is a two tailed test

P -value = 2 × ( 1  - P(z ≤ 3.936)

P -value = 2 × ( 1  -0.9999)

P -value = 2 × ( 0.0001)

P -value =  0.0002

Since the P-value is less than level of significance , we reject [tex]H_o[/tex] at level of significance 0.01

Conclusion: There is sufficient evidence to conclude that the original claim that the mean of the population of earthquake depths is  5.00 km.

Answer:

117.8

Step-by-step explanation:

surface area = πr²+πrl, where r = radius and l = slant height

so,

πr²+πrl

= π×3²+π×3×9.5

= 75π/2

= 117.8 (rounded to the nearest tenth)

Answer:

5.45 * 10^7

Step-by-step explanation:

[tex](4.8 * 10^7) +6,500,000[/tex]

= [tex](4.8 * 10^7) + 6.5 * 10^6[/tex]

= [tex](4.8 * 10^7) + (0.65 * 10^7)[/tex]

= [tex]5.45 * 10 ^7[/tex]

Answer:

3 2/3

Step-by-step explanation:

The x value is the same for both points. So we're only trying to figure out the difference in the y values. One y value is three steps down from zero and one y value is 2/3 of a step up from zero. So the total vertical distance between the two points is 3 and 2/3.

Step-by-step explanation:

Correct option is

B

x

2

−y

2

+2xy

dx

dy

=0

The system of circles touching Y axis at origin will have centres on X axis. Let (a,0) be the centre of a circle. Then the radius of the circle should be a units, since the circle should touch Y axis at origin.

Equation of a circle with centre at (a,0) and radius a

(x─a)²+(y─0)²=a²

That is,

x²+y²─2ax=0 ─────► (1)

The above equation represents the family of circles touching Y axis at origin. Here 'a' is an arbitrary constant.

In order to find the differential equation of system of circles touching Y axis at origin, eliminate the the arbitrary constant from equation(1)

Differentiating equation(1) with respect to x,

2x+2ydy/dx─2a=0

or

2a=2(x+ydy/dx)

Replacing '2a' of equation(1) with the above expression, you get

x²+y²─2(x+ydy/dx)(x)=0

That is,

─x²+y²─2xydy/dx=0

or

x²─y²+2xydy/dx=0

Answer:

No. By definition, mutually exclusive events cannot occur together.

Step-by-step explanation:

If two events are mutually exclusive, can they not occur concurrently because by definition, mutually exclusive events cannot occur together or at the same time. This ultimately implies that the events or outcome of the sampling is disjointed.

Mathematically, if two events A and B are mutually exclusive;

[tex]P(AnB) = 0[/tex]

From the above expression, we can deduce that the probability of the two (2) events occurring or having an intersection is zero (0).

[tex]P(A or B) = P(A) + P(B)[/tex]

From the above expression, we can deduce that the probability of either of the two (2) events occuring is the sum of the probability of each occurrence.

For example, when a fair die is tossed once, the outcomes are mutually exclusive.

P(d) = 1, 2, 3, 4, 5 and 6.

Other examples include;

1. Tossing a coin once, you'll either get a head or a tail but not a head and a tail at the same time.

2. In cards, both a king and an ace or a king and a queen are mutually exclusive because you can't have both occurring at the same time.

Answer:

the second option: (x-1)squared +2

Explanation:

The x value of the vertex can be found in the parenthesis after the x. However, you have to do the opposite value of it. So, since the paranthesis has (x-1) then that means that the vertex's x-value has to be 1.

For the y-value of the vertex, that can be found after the paranthesis. This value will not be used as the opposite like with the x-value. So, we know that in (x-1)^2 +2 the "+2" indicates the y-value to be 2.

2 digits number = 10-99

Lets find the multiples of 2 and 7 both

Which are = 14, 28,42,56,70,84,98

Therefore there are 7 two digit multiples of both 2 and 7

Must click thanks and mark brainliest

9514 1404 393

Answer:

  7

Step-by-step explanation:

Those numbers are 14, 28, 42, 56, 70, 84, 98. There are 7 numbers that are multiples of 2 and 7 (multiples of 14).

Answer:

n=1

Step-by-step explanation:

93/28=15/4n-5+4 4/7

93/28=15/4n-5+32/7

93/28=15/4n-35+32/7

93/28=15/4n-3/7

93/28+3/7=15/4n

15/4n=93*7+28*3/28*7

15/4n= 651+84/196

15/4n=735/196

15/4n*4/15=753/196*4/15

n=49/49

n=1

Answer:

(x+4)/3. When x is 5 the answer is 3

Step-by-step explanation: