A chemist has 500 mL of a 30% acid solution. She adds x milliliters of a 10% acid solution. Which statement is true about the graph of the function that represents the concentration of the final solution?
The horizontal asymptote y = 30 means that the final concentration will always be less than 30%.
The horizontal asymptote y = 10 means that the final concentration will always be greater than 10%.
The vertical asymptote x = 500 means that the volume of the solution will always be greater than 500 mL.
The vertical asymptote x = 0 means that the volume of the solution will always be greater than 0 mL.

Answers

Answer 1

Pretty sure the answer is B The horizontal asymptote y = 10 means that the final concentration will always be greater than 10%.

Step-by-step explanation:

Since the 10 % solution that you're adding to the 30% solution is 10% acid when you add it to the 30 acid percent solution it would never decrease the acidity levels farther than 10 percent no matter how much you put because the solution your adding is at a 10% acidity and the other solution is 30% acidity and has a higher acidity level than the 10% so it could never go lower than the solution you are adding to it.

Really hope I did an okay job at explaining.

Answer 2

Answer:

B on edge

Step-by-step explanation:

Passed the test


Related Questions

The planet mercury is approximately 6*10^7 miles from the sun. The distance between the sun and mars is approximately 2*10^8 miles. About how many times farther from the sun is mars than mercury.

Answers

Answer:

Around 10/3 or 3.33 times farther.

Step-by-step explanation:

We simply divide the larger distance by the smaller distance to find our ratio:

2(10⁸)/6(10⁷)

10/3

*Remember when you divide exponents, you subtract them

New packaging for fruit snacks contains 10% less weight than the original packaging. If the new package costs 15% more than the original package, by what fraction did the unit price increase? Express your answer as a common fraction.

Answers

Answer:

5/18

Step-by-step explanation:

Let's say the original packaging was 1 lb of packaging for $1.

The cost was $1/lb.

Then the weight went down by 10% and the price went up by 15%.

Now 0.9 lb of packaging cost $1.15.

The new unit cost is $1.15/(0.9 lb)

The difference is

$1.15/(0.9 lb) - $1/lb =

= $1.15/(0.9 lb) - $0.9/(0.9 lb)

= $0.25/(0.9 lb)

=$25/(90 lb) = $5/(18 lb)

The price went up by 5/18.

the question is 1/2 of 5 =

Answers

Answer:

2.5

Step-by-step explanation:

1/2x5=?

5/2=?

2.5=?

Answer:

[tex]\boxed{2.5}[/tex]

Step-by-step explanation:

=> [tex]\frac{1}{2} of 5[/tex]

The word "of" means "to multiply"

=> [tex]\frac{1}{2} * 5[/tex]

=> [tex]\frac{1*5}{2}[/tex]

=> [tex]\frac{5}{2}[/tex]

=> 2.5

how to do this question plz answer ​

Answers

Answer: 28

Step-by-step explanation:

The shape is grouped into 4 identical parallelograms.  

Thus, as the combined area of the figure is 308, you can divide 308/4 to get 77.  Thus, each parallelogram has an area of 77.

Then, divide 14/2 to get that the height of each parallelogram is 7.  

The area of a parallelogram is l*w.  Thus, because l = 7, each parallelogram has a width of 11 because 77/7 = 11.  

Then, simply add 11+11+6 to get y.

Hope this helps <3

(x2 + 4x) - 2x = x2 +
X

Answers

Answer:

x=0

Step-by-step explanation:

(x^2 + 4x) - 2x = x^2 +x

Combine like terms

x^2 +2x = x^2 +x

Subtract x^2 from each side

2x =x

Subtract x from each

2x-x = x-x

x = 0

Answer:

[tex]x=0[/tex]

Step-by-step explanation:

[tex]x^2+4x-2x=x^2+x[/tex]

Combine like terms.

[tex]x^2+2x=x^2+x[/tex]

Add [tex]-x^2[/tex] and [tex]-2x[/tex] on both sides.

[tex]x^2+2x-x^2-2x=x^2+x-x^2-2x[/tex]

[tex]0=x-2x[/tex]

[tex]0=-1x[/tex]

Divide both sides by [tex]-1[/tex].

[tex]\frac{0}{-1} =\frac{-1x}{-1}[/tex]

[tex]0=x[/tex]

Helppp!!!! please!!!

Answers

Answer: B. rectangular pyramid

Please help me with this. Attention all smart people!!!

Answers

Answer: CPCTC

Step-by-step explanation:

because in the step before that it was proved that the triangles were congruent and CPCTC is used after they are proved congruent.

By CPCT [Corresponding Part of congruent Triangle]

<h=<j

hope i helped

-lvr

Can you guys please help me? I don't really get what it is asking us to do.

Answers

The correct answer is 160

And u have to do the question correctly...

Cuz I told u the answer......

Hope this helps......

Find the measure of angle b


your answer _____

Answers

Answer:

43

Step-by-step explanation:

it looks the same as the other side

The required angle b is 43°.

It is required to find the  measure of angle b.

What is angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given:

The measure of angle b is 43° due to vertically opposite angle.

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other. These are sometimes called vertical angles.

Therefore, the required angle b is 43°.

Learn more details about angle here:

https://brainly.com/question/13954458

#SPJ2

ASAP!!!! FUNCTIONS HELP

Answers

Answer:

            3

Step-by-step explanation:

All but first for every single x gives single y so the second, third and fourth are function

At first for x=2 we have two y (2 or -2) so this isn't function.

HELPPP DO NOT LOOK IT UP PLS

Answers

You’re correct, it’s 16. Constant proportionality mean how much Y moves. So it’s 16!

PLEASE HELP ME I REALLY NEED HELP PLEASEEEE
If a circle has an area of 12πcm² and a diameter line AB, what is the length of arc AB?
A. √3π cm
B. 3π cm
C. 2√3π cm
D. 6π cm
E. 4√3π cm

Answers

Answer:

c

Step-by-step explanation:

area of a circle = πr²

area = A²

A =√ 12π

A = 2 √ 3π

Please help ASAP :):)

Answers

Answer:

b

Step-by-step explanation:

i solved it in my head.

Answer:

4 cm^2

4 cm

Step-by-step explanation:

8/2 = 4

4/2 = 2

each side of the square is 2 cm

sqrt. 16 = 4

4 cm

19. Solve for g: 5 / 8 = 12 / g​

Answers

Answer:

19.2

Solution,

[tex] \frac{5}{8} = \frac{12}{g} \\ or \: 5 \times g = 12 \times 8 \: ( \: cross \: multiplication) \\ or \: 5g = 96 \\ or \: g = \frac{96}{5} \\ g = 19.2[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

Step-by-step explanation:

5/8=12/g

*8      *8

5=12*8/g

*g    *g

5g=12*8=96

:5              :5

g=96/5

g=19.2

which equation has roots of 3plus or minus sqare rt 2?

Answers

Answer:

Option D is correct.

The equation with roots 3 plus or minus square root 2 is x² - 6x + 7

Step-by-step explanation:

The roots of the unknown equation are

3 ± √2, that is, (3 + √2) and (3 - √2)

The equation can then be reconstructed by writing these roots as the solutions of the quadratic equation

x = (3 + √2) or x = (3 - √2)

The equation is this

[x - (3 + √2)] × [x - (3 - √2)]

(x - 3 - √2) × (x - 3 + √2)

x(x - 3 + √2) - 3(x - 3 + √2) - √2(x - 3 + √2)

= x² - 3x + x√2 - 3x + 9 - 3√2 - x√2 + 3√2 - 2

Collecting like terms

= x² - 3x - 3x + x√2 - x√2 - 3√2 + 3√2 + 9 - 2

= x² - 6x + 7

Hope this Helps!!!

Please answer this question in two minutes

Answers

Answer:

t = 8; u = 14.

Step-by-step explanation:

If the two triangles are to be congruent, their side lengths and angles must be equal.

In this case, segment RQ corresponds with segment HI, and segment QS corresponds to segment IJ.

Since they are equal, we know that...

3u = u + 28

and

16t - 32 = 12t

Solve for both!

3u = u + 28

2u = 28

u = 14

16t - 32 = 12t

4t = 32

t = 8

So, t = 8 and u = 14.

Hope this helps!

Answer他媽的你你一個愚蠢的屁股妓女,你需要做你贏了他媽的作業傻瓜屁股

Step-by-step explanation:

25% of a number is a lb. please help

Answers

Answer:

4 lb

Step-by-step explanation:

x=__√__ How do I solve the problem and what are the steps to do it?

Answers

Answer:

x = 4sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

x^2 + 7^2 = 9^2

x^2 +49 = 81

Subtract 49 from each side

x^2 = 81-49

x^2 =32

Take the square root of each side

sqrt(x^2) = sqrt(32)

x = sqrt( 16*2)

x = sqrt(16) sqrt(2)

x = 4sqrt(2)

Answer:

x = 4√2

Step-by-step explanation:

The triangle is a right triangle.

Use Pythagorean theorem.

a² + b² = c²

The sum of legs squared is the hypotenuse squared.

The hypotenuse (largest side) is 9.

The legs are 7 and x.

7² + x² = 9²

49 + x² = 81

x² = 81 - 49

x² = 32

x = √32

x = √16√2

x = 4√2

Determine which postulate or theorem can be used to prove that ABC =
DCB.


Pls answer fast

Answers

Answer:

B

Step-by-step explanation:

The postulate that can be used to link both triangles is AAS which means Angle Angle side

From the diagram, we can see that we have 2 equal angles and one side in between the two triangles

This means whatever proof we are bringing out is dependent on the two equal angles and the common side between the two triangles

PLEASE HELPPPP I NEED HELP IM STUCK

Answers

Answer:

I cant read that but I think its 1/2

Step-by-step explanation:

x+2y=-6 solve for x?

Answers

Answer:

Step-by-step explanation:

x

+

2

y

=

6

Subtract  

x

from both sides of the equation.

2

y

=

6

x

Divide each term by  

2

and simplify.

Tap for more steps...

y

=

3

x

2

Answer:

x=2y-6

Step-by-step explanation:

To solve for x, we need to have one more equation, as there are two variables; x and y. But, we can still get it to this point.

First, we need to get x on to one side.

x=-2y-6

That is all we can do from here.

If you provide another corresponding equation, we can solve for x.

Hope this provides some guidance!!

~gloriouspurpose~

If (ax+b)(bx+a)=26x^2+ Box(x) +26, where a, b, and Box are distinct integers, what is the minimum possible value of Box, the coefficient of x?

Question in latex: If $(ax+b)(bx+a)=26x^2+\Box\cdot x+26$, where $a$, $b$, and $\Box$ are distinct integers, what is the minimum possible value of $\Box$, the coefficient of $x$?

Answers

Answer:

16.59

Step-by-step explanation:

Given:

[tex](ax+b)(bx+a)=26x^2+\Box\cdot x+26[/tex]

Expanding the left hand side, we have:

[tex](ax+b)(bx+a)=abx^2+a^2x+b^2x+ab\\=abx^2+(a^2+b^2)x+ab\\=26x^2+\Box\cdot x+26\\ab=26 \implies b=\frac{26}{a}[/tex]

Therefore:

[tex]a^2+b^2=a^2+\dfrac{26}{a} =\dfrac{a^3+26}{a}[/tex]

To find the minimum value, we take the derivative and solve for its critical point.

[tex]\frac{d}{da} (\frac{a^3+26}{a})=\frac{2a^3-26}{a^2}\\$Setting the derivative equal to zero, we have:\\2a^3-26=0\\2a^3=26\\a^3=13\\a=\sqrt[3]{13}[/tex]

Recall that:

[tex]\Box=a^2+b^2=\dfrac{(\sqrt[3]{13}) ^3+26}{\sqrt[3]{13}}\\=\dfrac{13+26}{\sqrt[3]{13}}\\\\\Box=16.59[/tex]

The minimum possible value of the coefficient of x is 16.59.

Answer:

173

Step-by-step explanation:

For sympliciy let the box equal y.

Expanding the left side we get (a*x+b)(b*x+a) = (a*b*(x)^2 + (a^2 + b^2)x + a*b). Hence we have that  (a*b*(x)^2 + (a^2 + b^2)x + a*b) = 26*(x)^2 + x*y + 26. Scince the coefficients of like terms in our equation must be equal, ab=26. Hence (a,b) = (1,26),(26,1),(-1,-26),(-26,-1),(2,13),(13,2),(-2,-13),(-13,-2). Since a^2 + b^2 = y we can see that the only 2 values of y are 677 and 173 (by simply plug in the values of (a,b)), taking the smaller of the two our answer is [173].

A medical researcher is studying the effects of a drug on blood pressure. Subjects in the study have their blood pressure taken at the beginning of the study. After being on the medication for 4 weeks, their blood pressure is taken again. The change in blood pressure is recorded and used in doing the hypothesis test. Change: Final Blood Pressure - Initial Blood Pressure The researcher wants to know if there is evidence that the drug increases blood pressure. At the end of 4 weeks, 32 subjects in the study had an average change in blood pressure of 2.5 with a standard deviation of 4.8. Find the p -value for the hypothesis test.

Answers

Answer:

The p -value for the hypothesis test is 0.003.

Step-by-step explanation:

In this case, a paired t-test would be used to determine whether the drug  increases blood pressure.

The hypothesis can be defined as follows:

H₀: The drug has no effect on blood pressure, i.e. d = 0.

Hₐ: The drug increases blood pressure, i.e. d > 0.

The information provided is:

[tex]n=32\\\bar d=2.5\\S_{d}=4.8[/tex]

The test statistic is:

[tex]t=\frac{\bar d}{S_{d}/\sqrt{n}}[/tex]

  [tex]=\frac{2.5}{4.8/\sqrt{32}}\\\\=2.9463\\\\\approx 2.95[/tex]

The degrees of freedom of the test is:

[tex]df=n-1=32-1=31[/tex]

The p-value of the test is:

[tex]p-value=P(t_{31}>2.95)=0.003[/tex]

*Use a t-table.

Thus, the p -value for the hypothesis test is 0.003.

A t-test is an inferential statistic that is used to see if there is a significant difference in the means. The p-value for the hypothesis test is 0.003.

What is a t-test?

A t-test is an inferential statistic that is used to see if there is a significant difference in the means of two groups that are connected in some way.

As it is given that 32(n) subjects in the study had an average change in blood pressure of 2.5([tex]\bar d[/tex]) with a standard deviation of 4.8([tex]S_d[/tex]).

Now, in order to solve the problem we need to use t-test, the test will determine whether the blood pressure increases or not under the influence of the drug.

The hypothesis for the test can be defined as:

H₀: The drug has no effect on blood pressure, therefore, d = 0.

Hₐ: The drug has increased blood pressure, therefore, d>0.

The test static is:

[tex]t = \dfrac{\bar d}{\dfrac{S_d}{\sqrt n}}\\\\\\t = \dfrac{2.5}{\dfrac{4.8}{32}} = 2.946 \approx 2.95[/tex]

Further, the degree of freedom of the test can be written as,

[tex]d_f=n-1 = 32-1=31[/tex]

Thus, the p-value of the test is:

[tex]p-value = P(t_{31} > 2.95)\\\\\text{Using the t-table}\\\\p-value = 0.003[/tex]

Hence, the p-value for the hypothesis test is 0.003.

Learn more about T-test:

https://brainly.com/question/1189751

Help please ASAP :) please give answers to both questions

Answers

Answer:

2 cm

10 cm

Step-by-step explanation:

14/7 = 2

This helps to find because area of rectangle = bh or base times height.

A = 1/2 bh

30 = 1/2 b 6

30 = 3b

b = 10

Answer:

b = 2 cm

b = 10 cm

Step-by-step explanation:

Area of a Rectangle: A = lw

Area of a Triangle: A = 1/2bh

We are given area and length, so simply plug it in:

14 = 7w

w = 2 cm

We are given area and height, so simply plug it in:

30 = 1/2(6)(b)

30 = 3b

b = 10 cm

If f(x)=5x, what is f^-1(x)

Answers

Answer:

f^-1(x) = _x__

               5

Step-by-step explanation:

Answer:

[tex] {f}^{ - 1} (x) = \frac{x}{5} [/tex]

Step-by-step explanation:

f(x) = 5x

To find f^-1(x) equate f(x) to y

That's f(x) = y

y = 5x

Interchange the variables

x = 5y

Make y the subject by dividing both sides by 5

y = x/5

The final answer is

f^-1(x) = x/5

Hope this helps you.

A shoe maker made 3 new soles every 4 minutes. Another shoe maker made 2 soles every 3 minutes. What was the difference in the number of soles they made in an hour? USE A RATIO OR PROPORTION TO ANSWER THIS PLS.

Answers

Answer:

45:40

Step-by-step explanation:

You take the first time and divide 60 by that number (60/4=15) Then you multiply it by the numbers of shoes being created (3*15=45) Repeat this for the other part and you have your answer

Find the lower bound for the following lengths:
a) 40 cm measured to the nearest cm.
b) 82.8 cm measured to the nearest tenth of a cm.

Answers

Answer:

a) Lower bound = 39.5

b) Lower bound = 82.75

Find the total surface area of this triangular prism...

Answers

Answer:

144 cm^2

Step-by-step explanation:

8x6+4x10+4x8+4x6

48+40+32+24

80+40+24

120+24

144

if f(x) = 4x-20 , what is f(4) A.16 B. 4 C. -12 D. -4

Answers

Answer:

D. -4

Step-by-step explanation:

f(x) = 4x - 20

f(4) = 4(4) - 20

f(4) = 16 - 20

f(4) = -4

Answer: -4

Step-by-step explanation: f ( x ) = 4x - 20

just replace the x with 4 and solve

4 ( 4 ) - 20

16 - 20

= -4

answer below these questions
rule: little x means times not the other way round
A: 3X^2Y^4 x 2X^6Y
B: XZ^3 x 4X^4Z^5
C: 4A^3^2 x 3A^6B^5
D: 6S^5T x S^4T^2

Answers

Answer:

A: 6x⁸y⁵

B: 4x⁵z⁸

C: 48a¹²b⁵

D: 6s⁹t³

Step-by-step explanation:

When you multiply 2 exponents together, you add them. When you power an exponent, you multiply the 2 exponents together,

3x²2y⁴(2x⁶y)

6x⁸y⁵

xz³(4x⁴z⁵)

4x⁵z⁸

(4a³)²(3a⁶b⁵)

16a⁶(3a⁶b⁵)

48a¹²b⁵

6s⁵t(s⁴t²)

6s⁹t³

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