How much water should be added to a 15 gallon solution of 35% hydrogen peroxide to create an 8% solution? how many gallons would there be of the 8% solution?

Answer:

  x ≈ 0.499

Step-by-step explanation:

The value of x can be found by undoing the operations done to it.

The operations done to the variable are ...

We undo these operations in reverse order:

  7e^(2x) + 10 = 29 . . . . given

  7e^(2x) = 19 . . . . . . . . . subtract 10

  e^(2x) = 19/7 . . . . . . . . . divide by 7

  2x = ln(19/7) . . . . . . . . take the natural logarithm

  x = (ln(19/7))/2 . . . . . . divide by 2

The rounded result is ...

  x ≈ 0.499

√(x₂-x₁)² + (Y2 − 1)²

√(7-4)² + (11− 7)²

√(3)² + (4)²

√(9)+ (16)

√(25) = 5

Thus, CD = 5

Hope this helps!

Answer:

The answer is A

We will see that the bison is faster, by 9.9 miles per hour.

We know that the deer's speed is:

D = 30 mi/h

The bison's speed is:

B = 3,520 ft/min.

We want to convert the second speed to miles per hour, then we can use:

1 hour = 60 min

1 mile = 5289 ft

So, to get the speed in miles per hour, we need to multiply by 60 and divide by 5289, we will get:

B = 3,520 ft/min = 3,520*(60/5289) mi/h = 39.9 mi/h

So we can see that the bison is faster, by 9.9 miles per hour.

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Answer:

Step-by-step explanation:

the quotient will be:

[tex](f/g)(x) = \frac{|x + 20|}{x + 1}[/tex]

with x ≠ -1

For two functions f(x) and g(x), the quotient:

(f/g)(x) is equal to f(x)/g(x).

Here we have:

[tex]f(x) = |x + 20|\\\\g(x) = x + 1[/tex]

Taking the quotient, we get:

[tex](f/g)(x) = \frac{|x + 20|}{x + 1}[/tex]

Where we also need to add the restriction that x must be different than -1, as we can divide by zero.

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The resulting matrix of the row operation is given as follows:

[tex]R = \left[\begin{array}{ccc}7&4.5&-6\\-6&-3&12\end{array}\right][/tex]

We apply the row operation on the original matrix, given as follows:

[tex]A = \left[\begin{array}{ccc}4&3&0\\-6&-3&12\end{array}\right][/tex]

The operation is given by:

[tex]R_1 = R_1 - 0.5R_2[/tex]

That is, applying to each element, we have that:

Hence the resulting matrix is:

[tex]R = \left[\begin{array}{ccc}7&4.5&-6\\-6&-3&12\end{array}\right][/tex]

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Mean (m) = 498

Standard deviation (σ) = 12

Sample size (n) = 86

The probability that the sample mean would differ from Population mean by less than 494.7 watts

P(m - s < Z < m + s)

P(498-494.7 < Z < 498+ 494.7)

Using the Z formula :

Zscore = (x - m) / (σ/√n)

x = 498 - 494.7 = 3.3 , x = 498 + 494.7 = 992.7

Z = (3.3 - 498) / (12/√86) = -383.48

P(Z < -383.48)

Z = (992.7 - 498 ) / (12/√86) = 383.48

P(Z<383.48)

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It depends if you mean

[tex]f(x) = \sin(x^2+2x-1)^2 = \sin^2(x^2+2x-1)[/tex]

i.e. the sine part is getting squared, or

[tex]f(x) = \sin(x^2+2x-1)^2 = \sin\left((x^2+2x-1)^2\right)[/tex]

i.e. the argument to sine is getting squared. I'll assume the first case, since it's fairly common convention to write [tex]g(x)^2 = \bigg(g(x)\bigg)^2[/tex].

Now if

[tex]f(x) = \sin^2(x^2+2x-1)[/tex]

• by the power and chain rules we have

[tex]f'(x) = 2 \sin(x^2 + 2x - 1) \left(\sin(x^2+2x-1)\right)'[/tex]

• using the derivative of sine and the chain rule again we have

[tex]f'(x) = 2 \sin(x^2+2x-1) \cos(x^2+2x-1) \left(x^2+2x-1\right)'[/tex]

• with the power and chain rules we have

[tex]f'(x) = 2 \sin(x^2+2x-1) \cos(x^2+2x-1) (2x+2)[/tex]

Recalling the double angle identity for sine,

[tex]\sin(2x) = \sin(x) \cos(x)[/tex]

we can rewrite the derivative among several other ways as

[tex]\boxed{f'(x) = (2x+2) \sin(2x^2+4x-2)}[/tex]

=========================================================

Reason:

The equation −8x−10y=3 is the same as 8x+10y = -3 after multiplying both sides by -1

We have this system of equations

[tex]\begin{cases}-6x+y = -4\\8x+10y = -3\end{cases}[/tex]

Add the equations straight down.

Therefore, we end up with the equation 2x+11y = -7

An alternative is to solve the system using substitution to get the (x,y) intersection point. Then use those coordinates to compute 2x+11y and you should get -7 as a result.

Answer:

Hence, 0.00000103 can be expressed as [tex]$1.03 \times 10^{-6}$[/tex].

Step-by-step explanation:

- Given 0.00000103

- Move the decimal point so that the factor is greater than or equal to 1 but less than 10 .

- Then count n and write no. as a product with a power of 10 .

Step 1 of 1

Consider 0.00000103,

1.03

Decimal has moved 6 places to right.

The power will be negative as the original no. is less than 1 .

[tex]$$\begin{array}{r}1.03 \times 10^{-6} \\0.00000103=1.03 \times 10^{-6}\end{array}$$[/tex]

Answer:

The statement is not true.

Step-by-step explanation:

[tex]\frac{3}{8} -\frac{2}{7} =\frac{2}{7} -\frac{3}{8}[/tex]

First, let us solve the left side.

[tex]\frac{3}{8} -\frac{2}{7} \\\\\frac{3*7}{8*7} -\frac{2*8}{7*8}\\\\\frac{21}{56} -\frac{16}{56}\\\\\frac{21-16}{56} \\\\\frac{5}{56}[/tex]

And now let us solve the right side.

[tex]\frac{2}{7}-\frac{3}{8} \\\\ \frac{2*8}{7*8}-\frac{3*7}{8*7} \\\\\frac{16}{56}-\frac{21}{56}\\\\\frac{16-21}{56}\\\\\frac{-5}{56}[/tex]

Therefore, it is clear that the left side is not equal to the right side.

∴ Left side ≠ Right side

∴ [tex]\frac{5}{56}[/tex] ≠ [tex]\frac{-5}{56}[/tex]

Step-by-step explanation:

2×-5=-8 and 2×-5/8=-1.25

Answer:

x = 10.5

Step-by-step explanation:

I'll assume this is the equation: (2x-5)/8 = 2

(2x-5)/8 = 2

(2x-5) = 16   [Multiply both sides by 8]

2x = 21        [Add 5 to both sides]

x = (21/2)    [Divide both sides by 2]

or x = 10.5

Answer:

B.$120

Step-by-step explanation:

find 8 on the bottom, and go up until you find the dot. then look to the left to see what number matches it on the left side.

The student product is 81936 greater than the correct product

The student was suppose to multiply 4552 by 157 but instead he multiplied 4552 by 175.

Therefore, let's find how much his product is greater than the correct product.

incorrect product = 4552 × 175 = 796600

Correct product = 4552 × 157 = 714664

Therefore,

difference = 796600 - 714664 = 81936

Therefore, his product is 81936 greater than the correct product.

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=============================================================

Explanation:

When going from f(x) to f(x-3), we replaced x with x-3.

Doing this shifts the xy axis 3 units to the left since each x input is three units smaller than before. If we had the f(x) curve fixed in place while the axis moves like this, then it gives the illusion of the curve moving 3 units to the right.

The +4 at the end adds 4 to each y coordinate to shift things 4 units up.

The solution to the given inequality expression is x ≤ 4

Inequality are expressions not separated by an equal sign. Given the inequality expression

x + 2 ≤ 6

Find the solution

Subtract 2 fro both sides

x + 2. - 2  ≤ 6 - 2

x  ≤ 4

Hence the graph of the solution is given as shown in the attachment

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Answer:

Sharon would have to run 24 ft.

Step-by-step explanation:

Begin by finding the perimeter by dividing 3,280 by 40.

Then eliminate D and E because they are larger than the total perimeter, and then plug in the remaining values into the perimeter and then see which also gives you the area.

This is how you get the answer 24 ft.

Hope this helped :D

Answer:

The product is the difference of squares is[tex]$$\left(4-6y\right)\left(4+6y\right)=16-36{{y}^2}$$[/tex]

Step-by-step explanation:

Explanation

[tex]$$\begin{aligned}&(4-6 y)(4+6 y)=(4)^{2}-(6 y)^{2} \\&(4-6 y)(4+6 y)=16-36 y^{2}\end{aligned}$$[/tex]

Answer:

53.04 pounds

Step-by-step explanation:

We find the area of the shape:

10*13=130 is the rectangle

(10+6)*8/2=16*8/2=16*4=64 (area of the right trapezoid)

(10+8)*3/2=18*3/2=9*3=27 (area of the left)

130+27+64=221 is the total area

221/25*6=53.04 pounds

Answer:

postive

Step-by-step explanation:

im asian

For the graph of a linear function the slope of the line is positive, option A is correct.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let the line is passing through points (-4, -1) and (0, 0)

m=1/4

The slope value is positive

Hence, for the graph of a linear function the slope of the line is positive, option A is correct.

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Answer:

I'm pretty sure the answer is 4

Step-by-step explanation:

Because SQ is 4 and it looks like QT is the same length

The required equation of the line is y = 5

The equation of a perpendicular line to a line in point-slope form is expressed as:

y-y1 = -1/m(x-x1)

m is the slope

(x1, y1) is any point on the line

Determine the slope

Slope = -3-3/2-2

y = ∞

Since there is no slope, hence the equation of the line will be in the form y = b

where b is the y-coordinate of the point. Hence the required equation of the line is y = 5

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If [tex]t[/tex] and [tex]r[/tex] are inverse proportional to one another, then for some constant volume [tex]V[/tex] we have

[tex]V = tr[/tex]

It takes 45 min to empty a tank containing at 300 gal/min, so the tank contains

[tex]V = (45\,\mathrm{min}) \left(300\dfrac{\rm gal}{\rm min}\right) = 13500\,\mathrm{gal}[/tex]

of liquid.

If it's emptied at 500 gal/min, it would take

[tex]13500\,\mathrm{gal} = t \left(500\dfrac{\rm gal}{\rm min}\right) \implies t = \boxed{27\,\mathrm{min}}[/tex]

Answer:

parallel lines a and b

parallel lines l and m

Step-by-step explanation:

25 A.

Angles 3 and 7 are alternate interior angles of lines a and b cut by transversal l.

Since angles 3 and 7 are congruent, lines a and b are parallel by the theorem:

If two lines are cut by a transversal such that alternate interior angles are congruent, then the lines are parallel.

25 B.

Angles 5 and 12 are same side interior angles of lines l and m and transversal b.

Since the sum of the measures of the angles 5 and 12 is 180, then angles 5 and 12 are supplementary angles making lines l and m parallel by the theorem:

If two lines are cut by a transversal such that same side interior angles are supplementary, then the lines are parallel.

Probability is the ratio of the desired outcomes to all possible outcomes.

If there are no desired outcomes, the ratio is 0 over all possible outcomes, thus 0.

If the event is all possible outcomes, the ratio is all possible outcomes over all possible outcomes, thus 1.

Probability can never be below zero or negative because desired outcomes can never be negative. If an event is impossible that means there are no desired outcomes meaning that probability is zero, thus couldn't fall below

Probability can never exceed 1 as desired outcomes can never be greater than total outcomes.

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Answer:

A , B, D

Step-by-step explanation:

YX is the segment joining points Y and X and is defined (A)

∠ XYZ is the angle between XY and YZ and is defined (B)

∠ YXZ is the angle between YX and XZ

However there is no segment joining XZ ← not defined

YW is the segment joining points Y and W and is defined (D)

Using the normal distribution, it is found that the relative frequency of classical CDs with playing time X between 49 and 69 minutes is 0.8403 = 84.03%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 54, \sigma = 5[/tex]

The relative frequency of classical CDs with playing time X between 49 and 69 minutes is the p-value of Z when X = 69 subtracted by the p-value of Z when X = 49, hence:

X = 69:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{69 - 54}{5}[/tex]

Z = 3

Z = 3 has a p-value of 0.9987.

X = 49:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{49 - 54}{5}[/tex]

Z = -1

Z = -1 has a p-value of 0.1584.

0.9987 - 0.1584 = 0.8403.

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