Write the domain and range of g as intervals or unions of intervals

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

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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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.

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.

Answer:

78.5

Step-by-step explanation:

i just know

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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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.

Angle ABE & angle DBC are right angles then ∠ABE≅ ∠EBC

What is complementary angle theorem?

If two angles are complementary to the same angle, then they are congruent.

1.∠ABE and ∠DBC are right angles(Given)

2. m∠ABE=90⁰

m∠DBC=90⁰

By definition of right angles

3.∠ABE and ∠DBE are complementary.

∠DBE and  ∠EBC are complementary.

(By complementary theorem)

two angles are complementary to the same angle, then they are congruent.

4. ∠ABE≅ ∠EBC (is complementary to same)

Hence  ∠ABE≅ ∠EBC.

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The maximum value of the linear equation is obtained as 52.

For the given question;

The linear equation is defined as;

C = x + 4y

The constraints are-

x ≥ 0

x≤ 12

y ≤ 10

2x + 3y ≥ 24

From the constraints, the maximum value for x and y are taken as;

x = 12 and y = 10.

Put the the equation, to find the maximum value.

C = x + 4y

C = 12 + 4×10

C = 52

Thus, the maximum value of the function is obtained as 52.

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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

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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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.

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:

MotoWin can expected to make money from offering these warranties.

In the long-run, they should expect to make 514 dollars from each warranty sold

What is expected value of replacement?

The expected value to MotoWin Auto Superstore of a replacing a car is the sum of the costs to be incurred when there is replacement multiplied by its probability of occurrence plus the cost of no replacement multiplied by its likelihood of occurrence expressed in percentage terms

expected value of replacement=(cost of replacement*its probability)*(cost of no replacement*its probability)

cost of replacement=$13,800

probability of replacement=7%

cost of no replacement=$0(when there is no to replace no cost is incurred)

probability of no replacement=93%

expected value of replacement=($13,800*3%)+($0*97%)

expected value of replacement=$414

profit on replacement=replacement price-expected value of replacement

profit on replacement=$928-$414

profit on replacement=$514

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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

Step-by-step explanation:

the answer is attached

hope it helps

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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the form or the slope-intercept form of the equation of the line is

where m is the slope and b is the y-intercept

we have the next equation

as we can see the slope is m=-1/2, because we have the same form of the slope-intercept form

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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$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

After simplifying the expression to a singles complex number, it becomes 1+√3i.

A complex number is a unique kind of number in the number system, it has two parts. One it called the real part which is a real number and an imaginary part which is also a real part but accompanied by the specific notation called iota.

Here a complex number Z is provided to us,

Z = [2+√(-12)]/2

As we can see,

Here we have √-12

We can write it as,

√(-2×2×3)

= 2√(-3)

Here, √-1 is given that special notation "IOTA (i)" which we mentioned earlier.

=2√3i

So, Z becomes,

Z = (2+2√3i)/2

Z= 1+√3i

So, the simpler form of Z = [2+√(-12)]/2 is Z= 1+√3i.

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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✅ .

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

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

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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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:

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

So, each one will end up with option D.

Answer:

x=40/13

Step-by-step explanation:

tex]\frac{1}{5}x+\frac{1}{8}x=1\\\\[/tex]

[tex]x=\frac{40}{13} hours[/tex]

We are given the following quadratic equation

The vertex is the maximum/minimum point of the quadratic equation.

The x-coordinate of the vertex is given by

Comparing the given equation with the general form of the quadratic equation, the coefficients are

a = 2

b = 7

c = -10

The y-coordinate of the vertex is given by

This means that we have a minimum point.

Therefore, the minimum point of the given quadratic equation is

Answer:

Exact Form:x=±√6/2

Decimal Form:x=1.22474487,−1.22474487

Step-by-step explanation: