PLEASE HELP!!!

Identify the domain and range of the function in interval notation. Find the zeros of the function. Then determine for which values of x the function is positive and for which it is negative​

The distance of the coin from the base of building is 37.3 m.

An angle of depression is stated to be formed by a horizontal line and the line that connects an item and the observer's eye. It is mostly used to determine the distance between the two objects when we are aware of the angles and height of an object above the ground.

Following is a list of the fundamental trigonometric ratio formulae, and both have the same formula for the angle of depression:

sin x = hypotenuse/perpendicular

base/hypotenuse = cos x

tan x = base/perpendicular

Let x serve as a representation of the distance from the coin to the building's base. When we use the necessary trigonometric function, we get:

Tan θ = perpendicular/base

Tan 15 = 10/x

0.2680 = 10/x

x = 10/0.2680

x  = 37.3134

x = 37.3 m

The distance of the coin from the base of the building is 37.3 m.

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The option that is cheaper per ounce is = two 12-ounce cups for $0.84.

Ounce measurement is defined as the measurement used for the weight of an object which is equivalent to 31.1 grams per ounce of the object.

30 ounce cup = $1.95

Therefore, 1 ounce = 1.95/30

=$0.065

2× 12 ounce cup = $0.84

24 ounce cup = 0.84

Therefore 1 ounce = 0.84/24

= $0.035

Therefore, the second option which is two 12-ounce cups for $0.84, is cheaper because 1 ounce is equivalent to $0.035.

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In the given equations using scientific notations the fourth one is true.

Given,

There are some equations with scientific notations;

We have to solve the equations and find them true or false.

This is false. Because,

4.25 × 10⁶ = 4250000

This is false. Because,

6.38 × 10⁹ = 6380000000

This is false. Because,

5.11 × 10⁻² = 0.0511

This is true.

That is,

In the given equations using scientific notations the fourth one is true.

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In order to place the companies greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste is 4, 3, 1, 2

We can calculate the comparative advantage with the formula;

CA = rate of producing large tubes/rate of producing small tube

For 1 Sparkling:

CA = 100/200

CA = 0.5

For 2 Bright White:

CA = 100/250

CA = 0.4

For 3 Fresh:

CA = 200/250

CA = 0.8

For 4 Mint:

CA = 150/150

CA = 1

Therefore, In order to place the companies greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste is 4, 3, 1, 2

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Answer:

C or option 3

Step-by-step explanation:

4,3,1,2

Answer:

x=60, y=30

Step-by-step explanation:

30+x=90, y+x=90. process of elimination

The total number of miles Mel drives the buses in one year is 11,622.

Solution:-

= 39 x 298 = 11,622

The distance can also be calculated in miles if you know the speed and time it will take to travel a certain distance. Just multiply the speed by the time. If the car is going 64 mph and he drives for 2 hours, he has traveled 130 miles. A conventional car can drive him 200,000 miles. Some well-maintained vehicles have over 300,000 total miles.

Currently, the average age of a US car is about 12 years. Choosing a well-made make and model can extend the life of your vehicle. A used car with a low annual average can be considered to have good mileage. Simply divide the mileage by the age of the car to get an annual average.

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The values of p and q so that the equations has infinitely many solutions are -12 and 4 respectively.

Given, we have equation px+4=-12x+q

To  find the values of p and q we just need to equate coefficients of corresponding terms.

To find q, substitute p = -12

-12x+4=-12x+q

-12x+12x+4 = q

q = 4

hence when q = 4, then

px+4 = -12x+4

px+4 - 4 = -12x

px = -12x

p = -12

Therefore, for infinitely many solutions of the equation, the values of p and q are -12 and 4 respectively.

Hence tha values of p and q are -12 and 4.

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Compound interest is calculated by multiplying the initial loan amount, or principal, by one plus the annual interest rate multiplied by the number of compound periods multiplied by one. This will give you the total amount of the loan plus compound interest.

The rental price increases  in compound by 6%.

after 1 month : price  A = $9,540.00.

after 3 month : price  = $10,719.14

after 10 month : price  =  $16,117.63

Compound interest is calculated by multiplying the initial loan amount, or principal, by one plus the annual interest rate multiplied by the number of compound periods multiplied by one. This will give you the total amount of the loan plus compound interest.

The rental price increases  in compound by 6%

Rental price of Dacha = 9000

increased = 6%.

The price of the house after 1 month.

A = P[tex](1 + \frac{r}{n})^{nt}[/tex].

A = final amount

P = initial principal balance = 9000

r = interest rate = 6% =6/100

n = number of times interest applied per time period = 1

t = number of time periods elapsed

after 1 month :

Then solve the equation for A

A = P(1 + r/n)nt

A = 9,000.00(1 + 0.06/1)(1)(1)

A = 9,000.00(1 + 0.06)(1)

A = $9,540.00.

After 3 Month :

Then solve the equation for A

A = P(1 + r/n)nt

A = 9,000.00(1 + 0.06/1)(1)(3)

A = 9,000.00(1 + 0.06)(3)

A = $10,719.14

after 10 month :

Then solve the equation for A

A = P(1 + r/n)nt

A = 9,000.00(1 + 0.06/1)(1)(10)

A = 9,000.00(1 + 0.06)(10)

A = $16,117.63

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A book store manager observed that if raised the price to $17.80 will be;

⇒ 506

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Store sells 630 calendars in a week for the price is $14.30.

Now,

Since, Store sells 630 calendars in a week for the price is $14.30.

So, We can formulate;

Number of sell if raises the price is $17.80 is;

= 630 x $14.30 / $17.80

Multiply the number, we get;

= $9,009 / $17.80

Divide the numbers, we get;

= 506

Therefore,

A book store manager observed that if raised the price to $17.80 will be;

⇒ 506

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The quantity of white paper shipped by the company is 7,47,240 reams.

Here, we are given that last quarter, Stamford Paper Company shipped a total of 937,362 reams of paper.

Further, we are also given that they shipped 190,122 reams of colored paper.

Let us assume that there are only two types of papers that the company ships, these are- colored and white.

Thus-

colored paper + white paper = total paper shipped

Let the reams of white paper shipped be x

Substituting the values given in the question we get-

190,122 + x = 937,362

subtracting 190,122 from both sides we get-

x = 937,362 - 190,122

x = 7,47,240

Thus, the quantity of white paper shipped by the company is 7,47,240 reams.

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The range of function g would be c. (-∞, 1).

The requried range of the function is range = {y | y ≤ 1} or in interval notation, this can be written as range = (-∞, 1]. Option C is correct.

The range is the set of values that come out to an outcome for a certain mathematical operation.

Here,

First find the function g(x),
So,
g(x) = -2(10ˣ) + 1

To calculate the range of the function g(x) = -2(10ˣ) + 1, we need to determine the set of all possible output values that the function can produce.

Notice that the function f(x) is a linear function of the form y = mx + b, where m = -2 and b = 1. Since the exponent function, 10ˣ is always positive, the value of -2(10ˣ) is always negative, and adding 1 to a negative number results in a range of all real numbers less than or equal to 1.

Therefore, the range of the function is range = {y | y ≤ 1} or in interval notation, this can be written as range = (-∞, 1]

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Answer:

The number is -9

Step-by-step explanation:

Let x be the number we do not know.

The you would set up the equation like

2x + 3 = x - 6

     +6

2x+9 = x

        -2x

9 = -1 x

/-1

=-9

To check math:

2(-9) + 3 = -9 - 6

-18 + 3 = -15

-9 - 6 = -15

The function x = 10y + 30 where x is the total amount paid and y is the number of hours.

The babysitter is paid $30 each week for driving the children to school and $10 for each hour she watches them.

Let x represent the total amount paid to the babysitter in a week.

Let y be the number of hours the babysitter watched the kids.

The function that represents the situation will be:

The total amount paid = Pay each week + Pay for the number of hours the babysitter watched the kids.

x = 30 + 10 × y

x = 10y + 30

The function in x that represents the total amount you paid for your babysitter in a week is x = 10y + 30.

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The total price of the hat including the tax is $ 16.9494 .

How to calculate percentage and how is it determined?
A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it. No dimension exists for percentages. Thus, it is referred to as a dimensionless number. The value must be divided by the entire value, and the resulting number must then be multiplied by 100 to get the percentage.
Mathematically, Percentage formula = (Value/Total value) × 100

Given, cost price of hat (total value) = $ 15.99
Percentage tax imposed on the hat = 6%
Now, using the formula established in the literature above, we have:
Percentage = (Value/Total Value)×100
⇒ Value = (Percentage × Total Value)/100 = (6×15.99)/100 = $ 0.9594
Therefore, the total price of hat = Cost Price + Value = $ (15.99 + 0.9594) = $ 16.9494
Thus, the total price of the hat including the tax is $ 16.9494 .

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Answer:

d

Step-by-step explanation:

using the tangent ratio in the right triangle

tan D = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{EF}{DE}[/tex] = [tex]\frac{9}{15}[/tex] , then

∠ D = [tex]tan^{-1}[/tex] ( [tex]\frac{9}{15}[/tex] ) ≈ 31.0° ( to the nearest tenth )

The missing reasons in each of the steps involved in solving the one-variable equation are as follows;

It follows from the task content that the steps which are missing be determined.

Part A; we have;

2 { (1/2)x - 5} = 20

It follows that the expression above is derived by multiplying both sides of the equality by 2. Hence, the missing reason is; The multiplication property of equality.

Part B; Since the equation; 2 { (1/2)x - 5} = 20 is rewritten as; x - 10 = 20.

It follows that each term in the parentheses is multiplied by 2 and this concept is best described by the distributive property.

Part C; Finally, 10 is added to each side of.the equality; x - 10 = 20 which results in; x = 30.

The scenario above is best modelled by the addition property of equality.

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Answer:

the sum of 3/4 +2/5 is 1.15

Answer:

Step-by-step explanation:

4.4

MATHEMATICALLY WE WRITE THIS AS

[tex] = \frac{1}{2} (17 + 9) \\ = \frac{1}{2} (26) \\ = 13[/tex]

THE ANSWER IS 13

GOODLUCK

Answer:

4m+5=12

Step-by-step explanation:

4(3)+5#12

right hand side is not equal to left hand side

Answer: 4m+5=12

Step-by-step explanation:

The lines are neither parallel or perpendicular

When do we say two lines are parallel or perpendicular or neither?

Two lines are said to be parallel if they have same slope, two lines are perpendicular if the product of the slopes are -1.

Slope of lines with coordinates (a,b), (c,d) can be given by [tex]\frac{d-b}{c-a}[/tex].

We are line A which contains point (0,3) and (3,1)

Slope of line A can be given by  [tex]\frac{1-3}{3-0}[/tex]

Slope of line A = [tex]\frac{-2}{3}[/tex]

We are line B which contains point (-1,4) and (-7,5)

Slope of line B can be given by  [tex]\frac{5-4}{-7+1}[/tex]

Slope of line B = [tex]\frac{-1}{6}[/tex]

Slope of line A and line B are different

Also the product of slopes line A and Line B is also not equal to -1

Hence the lines are neither parallel not perpendicular.

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It will take 12.51 years for a Jenny's balance of 3000 to grow to 3800

Balance in Jenny's account = $3000

Rate of interest = 2.13%

Required amount = 3800

Simple interest is a quick and simple technique to compute interest on money. Interest is always applied to the initial principal amount and is calculated at the same rate for each time cycle.

The formula for simple interest is given:

Simple interest = P*R*T/100

where P = principal amount invested

R = rate of interest

T = time period in years

Substituting the values in the formula we get:

Amount = P*R*T/100 + P

3800 = 3000*2.13*T/100 + 3000

800 = 63.9T

T = 12.51

So, it will take 12.51 years

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the measurement of that side of the courtyard is 13.75feet

Answer:

C. $2.498

Step-by-step explanation:

Andrea's family stopped at the gas station to get gas. At gas stations, the price of gas per gallon is given to the nearest thousandth. In order to determine how much money he would need to pay for the gas, Andrea's dad asked her to round the price of gas per gallon to the nearest hundredth.

The gas price per gallon rounded to the nearest hundredth was $2.50. Which of the following prices could have been the original gas price?

$2.505 a

$2.509 b

$2.498 c

$2.493 d

The exact value of the trigonometric function sec θ is 17/15.

When a number or algebraic expression is beneath a radical, the form is referred to as being in radical form. However, by rearranging a number or algebraic expression in radical form into what is known as the simplest radical form, we can improve that.

The angle θ in standard position and the terminal side passes through the point ( 15, 8 ).

So, we have x = 15 and y = 8 which is in the first quadrant.

Therefore,

r² = x² + y²

r² = ( 15 )² + ( 8 )²

r² = 225 + 64

r² = 289

r = 17

Then,

sec θ = 1/cosθ

sec θ = [ 1/(x/r) ]

sec θ = r/x

sec θ = 17/15

sec θ = 1.1333

The value of the trigonometric function sec θ = 17/15.

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Answer:

(0.5)(-2.5) = -1.25

Step-by-step explanation:

There are lots of answers.  I could choose the number .5 which is between 0 and 1 and I could choice -2.5 which is between -2 and -3.

Multiply together

(.5)(-2.5) = -1.25

Answer:

[tex]9 \times {10}^{5} [/tex]

Step-by-step explanation:

[tex](1.5 \times {10}^{2} )(6 \times {10}^{3} )[/tex]

[tex](1.5 \times 6)( {10}^{2} \times {10}^{3} )[/tex]

[tex]9 \times {10}^{5} [/tex]

A

y=mx+b

m is the slope

b the point where y is at when x is on 0 so yourpoint plot is (0,25) ( 1,38) ect

Answer:

A is the answer Slope is 18 and starts at 25 will increase by 18 every month.

Step-by-step explanation: