It costs $35 per hour to rent a boat at the lake.
You also need to a pay a $25 fee for safety equipment.
You have $200.
How long can you rent the boat?

Given the function

Substitute y = f(x) into the function above

Make 'x' the subject of the formula

Take the log₂ of both sides

Note:

Therefore,

Isolating 'x'

Replace 'x' with 'y'

Hence,

The correct option is Option 2.

Answer:

f−1(x)=ex+11−2ex

Step-by-step explanation:

Let y=f(x)=ln(x−1)−ln(2x+1). ⇒y=ln(x−12x+1). ⇒x−12x+1=ey. ⇒2xey+ey=x−1. ⇒x(1−2ey)=ey+1.

The distance Mr. Jackson drove from when he got in his car to when he got home is 200.5 km.

Given:

The odometer reading when Mr.Jackson got in his car = 187,198.9 km

The odometer reading when Mr.Jackson got home = 187,399.4 km

An odometer is a device used to calculate the distance traveled by a vehicle.

To determine the distance Mr.Jackson drove we subtract the odometer readings from when he got home minus when he got into his car.

⇒ (187,399.4 - 187,198.9) km

⇒ 200.5 km

Therefore, Mr. Jackson drove 220.5 km from when he got in his car to when he got home.

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As given by the question

There are given that the function:

Now,

From the given formula:

Then,

First find the equation for f(x + h)

So,

Then,

Put both values into the given formula:

So,

Then,

Hence, the difference quotient is 2x + h.

3x+2y=10 This is the equation of the new line in standard form

Two parallel lines have the same slope,  to compute the slope (m) of the equation 3x+2y=19.  This can be obtained by converting the equation into slope-intercept form (i.e., y=mx+b, where m is the slope):

by subtracting 3x from both sides, and then simplifying:

3x+2y-3x=19-3x

     2y     =-3x+19

Then, let's divide both sides by 2, to obtain slope-intercept form:

      y      = (-3/2)x+(/2)     From this, we know that the slope (m) is -3/2

To determine the equation of the line we're being asked to solve for.  If we know the slope (in this case m=-3/2) along with any given point on the line ((x0,y0); in this case (4,1)), the equation of the line can be determined as y-y0=m(x-x0)

So substituting, the equation of the line is y-1=(-3/2)(x-5)

We now need to put this into standard form, with both x and y terms on the left side of the equation:

First, distribute the 3/2 on the right side:  y-1=(-3/2)x+(3/2)5  or y-1

= (-3/2)x+6

Next, add (3/2)x to both sides, add 1 to both sides, and simplify:

(3/2) x + y = 5

multiply both sides by 2, to eliminate the fraction (3/2): 3x+2y = 10 This is the equation of the new line in standard form

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Problem

What property is used to solve 9x + 5 = 21 and 9x + 5 -5 = 21 - 5

Solution

9x +5 =21

If we subtract 5 in both sides we got:

9x +5-5 =21-5

Subtraction property of equality

Answer: each bag is 2$

Step-by-step explanation: 2+2= 4   4+2 = 6  6+2=8  8+2= 10

If Martin charges $10 for every 5 bags of leaves, then we divide the total price by the number of bags, then

Answer: In total, each bag of leaves counts $2✅ .

Given:

center of the circle = (3, -2)

radius = 4

To find:

the standard form of the equation of a circle

The standard form of the equation of circle is given as:

The equationof the circle in standard form:

Problem Statement

We are told a store offers 15% discount on the sale of a stereo originally costing $400. After the sale, the new price is marked up by 15%.

We are asked to find what percentage of the original price is the new marked up price.

Method

T

We will have that if they divide them evenly they will end up with:

So, each one will end up with option D.

Step-by-step explanation:

the answer is attached

hope it helps

Answer:

78.5

Step-by-step explanation:

i just know

Given the rectangular coordinates of point Q:

You need to remember that the form from rectangular oordinates to polar coordinates is:

By definition:

In this case, you can identify that:

Then, you can determine that:

Therefore, the polar coordinates are:

Hence, the answer is: Second option.

The probability of at most two hot peppers = 0.918

Total number of burritos ordered = 17

Number of burritos with hot peppers = 8

Number of burritos without hot pepper = 9

Number of burritos picked = 3

We need to find the probability of the event that at most two have hot peppers.

At most two have hot peppers means either there is one with hot pepper or there are two with hot pepper. So there should not be 3 burritos all with hot peppers.

Thus we can rewrite the probability that at most 2 out of 3 burritos are with hot peppers as, Total probability - the probability that all 3 burritos are with hot peppers.

So the probability that all three burritos are with hot peppers = P(3 with hot peppers)  = (8C3x9C0)/17C3

                       = 56 x 1/680

                       = 0.082

Then the probability that at most two burritos out of three are with hot peppers = 1 - P(3 with hot peppers)

              = 1 - 0.082

              = 0.918

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Answer:

B: 0

Step-by-step explanation:

At the unit circle, we can see that sin(x) = 0 for x = 0 and for x = pi

This gives us directly that sin^-1(0) = 0 or x = pi

However, the function sin^-1(x) is only defined for -pi/2 \leq 0 \geq pi/2, since otherwise it is very unclear which answer is the right one.

By this definition, we directly see that the only right aswer is 0

If Z is a standard normal variable, The value of P(-1.2 < Z < 0.4) is

0.5403

This is further explained below.

Generally, A random variable with a normal distribution and mean equal to zero and standard deviation equal to one is referred to as a standard normal random variable. The letter Z will never be used to represent it in any context.

Given that, we have to find, P(-1.2<z<0.4)

P(-1.2<z<0.4) =P(z<0.4)-P(z<-1.2)

Using, the z-distribution table determine the values

=0.6554-0.1151

=0.5403

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Answer: P A is paranthathesis add

Step-by-step explanation: so frist u do ( + ( = ((

then ((-)))=-)

Kira have $23 in his wallet.

Justin have $13 in his wallet.

Reuben have $46 in his wallet.

Given,

There are three persons, Kira, Justin, Reuben.

The total amount in their wallet = $82

The amount in Justin's wallet = x

The amount in Kira's wallet = x + 10

The amount in Reuben's wallet = 2(x + 10)

We have to find the amount in their wallets.

Here,

x + x + 10 + 2(x + 10) = 82

2x + 10 + 2x + 20 = 82

4x + 30 = 82

4x = 82 - 30

x = 52/4 = 13

Now,

The amount in Justin's wallet = x = $13

The amount in Kira's wallet = x + 10 = 13 + 10 = $23

The amount in Reuben's wallet = 2(x + 10) = 2(13 + 10) = 2 × 23 = $46

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Given:

A 45-gal hot water tank holds 375 lb of water.

To find the values of x,

Answer: The weight of water which will hold 55 gal tank is 458 lb.

$36.55

Given the following parameters

Regular price of a ticket = $43

Sales discount = 15%

Determine the discounted price

Discount price = 0.15 * 43

Discount price = $6.45

Determine the sales price

Sales price = Regular price - discount

Sales price = $43 - $6.45

Sales price = $36.55

Hence the sales price for the item will be $36.55

Answer: The tree takes the Carbon dioxide from the air and converts it to wood.

Labrador Retrievers weigh an average of 65 lbs with a standard deviation of 4 lb

German Shepherds weigh an average of 62 pounds with a standard deviation of 3 lbs

Answer below:

Step-by-step explanation:

6x+2y=-10

(-5/3,0) x-int

(0,5) y-int

slope= -3

5x-5y=5

slope= 1

(1,0) x-int

(0,-1) y-int

The value of the police if fot the 75% of the total value of the home value. The 75% of $465000 is:

The value of the insurance is then for $348750. The annual premium of the policy is $0.74 per hunder-dollar unit. Then, we need to estimate the hundred-dollar units in $348750. To estimate them, we need to divide the value by 100:

The value of the policy is then by 3487.5 hundreds of dollars. Now, we can estimate the amount to be paid yearly:

Then, the amount to pay, according to the given conditions is $2580.75. Correct answer is the third option.

Given that y varies directly with x, we have:

Where k is constant.

When x = 7, y = 21. From here, we can obtain the value of k

21 = 7k

k = 21/7 = 3

Since k = 3, the equation that relates x and y is:

The solution to the rational inequality given in this problem is as follows:

(-1/2, 1/5].

The rational inequality is defined as follows:

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

The first step to solve the inequality is isolate 0 on the right side of the inequality, hence:

[tex]\frac{3 - x}{2x + 1} - 2 \geq 0[/tex]

Then the least common multiplied is applied to represent the left side of the inequality as a single fraction, as follows:

[tex]\frac{3 - x - 2(2x + 1)}{2x + 1}\geq 0[/tex]

[tex]\frac{3 - x - 4x - 2}{2x + 1}\geq 0[/tex]

[tex]\frac{-5x + 1}{2x + 1}\geq 0[/tex]

There are two cases for the solution to the inequality:

The solution is the union of the solution of each of these cases.

-5x + 1 ≥ 0

-5x ≥ -1

5x ≤ 1

x ≤ 1/5

2x + 1 > 0 (only > as the denominator cannot be zero)

2x > -1

x > -1/2

The intersection of these solutions is given by the following interval:

(-1/2, 1/5].

-5x + 1 ≤ 0

-5x ≤ -1

5x ≥ 1

x ≥ 1/5

2x + 1 < 0

2x < -1

x < -1/2.

The intersection of these two cases is empty, hence the solution to the inequality is given by the following interval:

(-1/2, 1/5].

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If two lines of slopes m1 and m2 are perpendicular, then:

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

We are given the points of the first line (-4, 7) and (1, 3). Calculate the slope

The slope of the perpendicular line is:

The equation of the perpendicular line has the form:

None of the options has the correct answer.

Answer:

1 foot above the ground, positive 1

Step-by-step explanation:

you start at ground level let's call that 0

you go 10 down 0-10=-10

Now you climb up 20 feet so -10+20=10

Then you finally climb down 9 feet and 10-9=1

So you are one foot above the ground.

mEFG and mGFH is 61 and 119 respectively.

What is linear pair of angle?

Linear pair of angle are formed when two lines intersect each other at a single point and sum of angles of linear pair is always 180.

given, mEFG = 2n+17 and mGFH = 4n+31 and they both are linear.

Hence,

mEFG+mGFH = 180

2n+17+4n+31 = 180

6n+48=180

6n = 132

n = 22

hence, mEFG = 2(22)+17= 61 and mGFH = 4(22)+31 = 119

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Answer:

6

Step-by-step explanation:

5.951

porque 1 no es mas o menos que 5, no vamos arriba

5.95

porque 5 es igual o mas que 5, vamos arriba

1 mas 9, es 10

pero este diez en el .9 is basicamente 1.0

entonces se combireta a uno entero

dejando nos con

6