28.6% of city employees ride the bus to work.Last year,29.7% of city employees rode the bus to work.What is the relative change from last year to this year

Answer:

6

Step-by-step explanation:

The requried number of passes to reach the maximum is given as 10 passes.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,

We have 5 coins in your purse,
We Gain 1.5x the number of coins in your purse every time you pass the start. The maximum number of coins is 300.

According to the quesiton,
5 . 1.5ˣ = 300

Where x is the number of passes,
1.5ˣ = 60
x ≈ 10

Thus, the requried number of passes to reach the maximum is given as 10 passes.

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Answer:

50

Step-by-step explanation:

Fractions are division problems. :) You have to complete that first to solve the equation (PEMDAS).

48/6 = 8

42 + 8 = 50

Answer:

Step-by-step explanation:

she has 7 servings. Add 1/2 + 1/2 until you get 3 1/2 and it equals 7

Answer: 20

Step-by-step explanation:

f(-4) = -4² - (-4)

f(-4) = 16 + 4

f(-4) = 20

Probability helps us to know the chances of an event occurring. The probability of tossing heads and rolling a number less than 3 is 1/6.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The number of cases where coins land on heads and a number less than 3 are rolled is 2, which are H1 and H2.

The probability of tossing heads and rolling a number less than 3 is,

Probability = (Outcomes where coins land on heads and a number less than 3 are rolled)/(Total number of cases)

Probability = 2/12 = 1/6

Hence, the probability of tossing heads and rolling a number less than 3 is 1/6.

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The least number of sweaters that must be produced each hour to earn a profit of at least $100 is 37.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

A clothing manufacturer produces one type of sweater that earns $4 profit for each one sold.

Let x be the number of sweaters that must be produced each hour to earn a profit of at least $100

Total selling price if earns $4 profit for each one sold = 4x

The expenses for running the machine are $45 per hour.

4x - 45 ≤ 100

4x ≤ 145

x ≤ 145/4

x ≤ 36.25

Number of sweater(estimate value) = 37

Thus, the least number of sweaters that must be produced each hour to earn a profit of at least $100 is 37.

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Answer:

6190

Step-by-step explanation:

you multiply 4 days by 24 because a day have 24 hrs,then you will multiply the answer by 60 ,then after multiplying by 60 you will add 16 minutes and if you want to put is in seconds you multiply by 60 again that's what I know

Answer:

D. 2√2

Step-by-step explanation:

x² = 8

x = √8

x = √4 x √2

x = 2√2

Step-by-step explanation:

[tex] x {?}^{2} \sqrt{2 \times 2 \times 2} \\ \\ x { }^{2} = 2 \sqrt{2} [/tex]

Answer:

(-5, 0)

Step-by-step explanation:

The y value of an x intercept is always 0. Therefore, we can substitute 0 for y in the equation to find the x intercept:
3x - 5(0) = -15
3x = -15
x = -5
The x intercept is (-5, 0)

Answer:

See below

Step-by-step explanation:

When you multiply or divide both sides of an inquality equation by a NEGATIVE number , it reverses the symbol to see this in action:

- 4n >36       Instead of dividing by -4   let's ADD - 4n to both sides

0 > 36 + 4n    now SUBTRACT 36 from both sides

-36 > 4n       re-arrange just a little

4n < -36       <======== see how the symbol has reversed ???

n < -9        

Hii!

___________________________________________________________

Answer:

'Cause both sides were divided by a negative number! ^^

Step-by-step explanation:

The sign of the inequality was flipped because you divided both sides of the inequality by -4, which is a negative number.

When we divide, or multiply, both sides of an inequality by a negative number, we flip the inequality sign.

--

Hope that this helped! Best wishes.

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The surface area of the given composite figure is; 528 ft²

To get the surface area of the attached composite shape, we will have to break the object down into smaller shapes to get;

Surface area 1 = 2(15 * 4) = 120 ft²

Surface area 2 = 2(9 * 4) = 72 ft²

Surface area 3 = 2(6 * 4) = 48 ft²

Surface area 4 = 2((15 * 15) - (9 * 9)) = 288 ft²

Thus;

Total surface area = 120 + 72 + 48 + 288

Total surface area = 528 ft²

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Answer:

1500

Step-by-step explanation:

3/7 of 3500

=3/7 × 3500

=150

An equation is formed of two equal expressions. The number of infections in 6 weeks is 456.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The general equation of an exponential function is written as,

y = A(B)ˣ

Since the infection is increasing at a rate of 50%, therefore, the rate of growth will be,

B = 1.50

Substitute any value then we will get,

40 = A(1.50)⁰

A = 40

Thus, the exponential equation of the growth will be,

y = 40(1.50)ˣ

Now, the number of infections in 6 weeks will be,

y = 40(1.50)⁶

y = 455.625 ≈ 456

Hence, the number of infections in 6 weeks is 456.

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Answer:

A.

Step-by-step explanation:

The other graphs answers have a point at (3, 1) which is not on the graph.

The total amount of money that Denise and Stacey spent at the carnival is 12 + 14c + 5g dollars.

What is total amount?

The amount that you get when you add several numbers or things together.

The total amount of money that Denise and Stacey spent at the carnival will be money spent on admission + ride + game.

Total amount = 2 * 6 + 2 ( 7 * c ) +  ( 3 * g + 2 * g )

                      = 2 * 6 + 14 * c + 5 * g

                      = 12 + 14c + 5g dollars.

Therefore, the total amount of money that Denise and Stacey spent at the carnival is 12 + 14c + 5g dollars.

The questions seems incomplete, its option could be:

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If we know that h(x) = (f ° g) (x) = √x + 5, then f(x) = x + 5 and g(x) = √x by applying the binary operation of composition between two functions.

Let be f and g two functions, h is a composition of f with respect to g when the input variable of f is equal to g.  The composed function is h(x) = √x + 5 and there may be more than a solution. One of these solutions are f(x) = x + 5 and g(x) = √x.

If we know that h(x) = (f ° g) (x) = √x + 5, then f(x) = x + 5 and g(x) = √x by applying the binary operation of composition between two functions.

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Answer:

A , C , D  , i thinks it another one but ionk

Step-by-step explanation:

Answer:

6x + 7y = 14

7x + 8y = 27

6 7. x = 14

7 8. y = 27

option B

find hourly rate:

96 / 16 = 6 pounds per hour

6 x 1.5 = 9 pounds per hour for overtime.

9 x 4 = 36 pounds

96 + 36 = 132 pounds total

The area of a circle to derive the formula for the area of a sector will be (θ/2π) x (area of the circle).

Let r be the radius of the circle. Then the area of the circle will be

Area = πr²

Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the area of the sector of the circle will be

Area = (θ/2π) πr²

Area = (θ/2π) x (area of the circle)

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We conclude that the interval in which the function decreases is (1.5, 3]

The ball is decreasing when the graph, reading from left to right, is going downwards.

Particularly, in this parabola that opens downwards, the graph will decrease after the vertex.

And we can see that the vertex is at x = 1.5

And we also see that the graph of the function ends at x = 3.

Then we conclude that the interval in which the function decreases is (1.5, 3]

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The income statement illustrates that the net income will be $3530.

The income statement will be:

Revenue

Consulting revenue 18350

Expenses

Miscellaneous expenses 720

Rent expense 4820

Salaries expense 8370

Telephone expenses 910

Total expenses 14820

Net income = 18350 - 14820 = 3530

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The value of e³ = 20.079.

e is an irrational number , It is a numerical constant used in mathematical constant .

The value of e = 2.718

It is asked in the question to determine the value of e³

Therefore

e³ = ( 2.718)³

e³ = 20.079

Therefore the value of e³ = 20.079.

The image of the calculation is attached with the answer.

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Answer:

graph A

Step-by-step explanation:

When looking at a graph, there are two different axes. The vertical values--marked by the center up/down line--are "y-values"; and this is called the "y-axis"

The horizontal values--marked by the left/right line--are "x-values"; and this is called the "x-axis"

For the x-axis, values to the left side of the origin (the place where the y-axis and x-axis intercept) are smaller than 0--they are all negative values.

Values to the right side of the origin are positive--greater than 0.

For the y-axis, positive numbers are on the top half [once again, the midpoint / 0 is where the two lines are both = to 0; the origin] and negative numbers are on the bottom half.

Ordered pairs (points) are written as (x,y)

(x-value, y-value)

We are looking for a graph that decreases (along the y-axis), hits a point below the origin, and goes flat/stays constant.

When a graph is decreasing (note: we read graphs from left to right), the line of the graph is slanted downwards (it looks like a line going down).

So, if we look at the graphs, we can see Graph A descending, crossing the y-axis {crossing the middle line /vertical line / y-axis} at a value of -7, and then staying constant (it is no longer increasing or decreasing because the y-values stay the same)

hope this helps!!

Answer:

  (d)  see attached

Step-by-step explanation:

There are a couple of quick checks you can do to identify the correct graph.

__

Find a variable with a positive coefficient, and write that in the given relation to the inequality symbol:

  x >

This tells you ...

The x-coefficient is a factor of the constant, so the x-intercept of the boundary line is easily found. Set y=0, and you have ...

  2x = 6

  x = 3

The boundary line you're looking for has an x-intercept at x=3.

__

The correct graph is shown in the attachment.

Answer:

It is arithmetic progression

Step-by-step explanation:

If wwe see, the numbers are going down by 3 each time, therfore the common difference is 3

Hii!

_________________________________________________________

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}\circ\leftharpoonup}}[/tex]

1. This sequence is arithmetic

2. The common ratio is 3.

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation.}}}\circ\leftharpoonup[/tex]

[tex]\bullet[/tex] Difference between arithmetic and geometric sequences

[tex]\twoheadrightarrow\sf Arithmetic\quad sequences[/tex] - In arithmetic sequences, we add the same amount to obtain the next term.

[tex]\twoheadrightarrow\sf Geometric\quad sequences[/tex] - In geometric sequences we multiply times the same amount to obtain the next term.

[tex]\bullet[/tex] Since we add the same amount to get the next term, the given sequence is arithmetic

[tex]\twoheadrightarrow\sf Common\;difference:-3[/tex]

[tex]\bullet[/tex] In the given sequence we add -3, or subtract 3, to obtain the next term

--

Hope that this helped! Best wishes.

[tex]\stackrel\ast{\textsl{Reach far. Aim high. Dream big.}}[/tex]

--

Answer:

x=15.1

Step-by-step explanation:

In a right triangle, the side across from the right angle is always the hypotenuse.

The other two sides are termed "legs".

Once one of the other two angles is chosen as the angle to work from, then the two legs can be defined as the "opposite" and the "adjacent"

The leg touching the angle is the "adjacent" leg (or adjacent side), and the leg across from the angle is the "opposite" leg (or opposite side).

[tex]\sin(\theta)=\dfrac{\text{opposite side}}{\text{hypotenuse}}[/tex]

[tex]\cos(\theta)=\dfrac{\text{adjacent side}}{\text{hypotenuse}}[/tex]

[tex]\tan(\theta)=\dfrac{\text{opposite side}}{\text{adjacent side}}[/tex]

In this situation, the given angle is in the bottom right.  A value is given for the side opposite the given angle, and the requested value is on the hypotenuse.

So, the two sides of interest are the "opposite" and the "hypotenuse".  The trigonometric function that relates these two sides is the sine function.

[tex]\sin(\theta)=\dfrac{\text{opposite side}}{\text{hypotenuse}}[/tex]

[tex]\sin(68^o)=\dfrac{(14)}{(x)}[/tex]

Evaluating the sine function in a calculator (in degree mode):

[tex]0.9271838546...=\dfrac{14}{x}[/tex]

Multiply both sides by x:

[tex](0.9271838546...)x=\left (\dfrac{14}{x} \right)x[/tex]

[tex](0.9271838546...)x=14[/tex]

Divide both sides by the decimal number:

[tex]\left (\dfrac{(0.9271838546...)x}{0.9271838546...} \right)=\dfrac{14}{0.9271838546...}[/tex]

[tex]x=15.0994864...[/tex]

Rounded to the nearest tenth, x=15.1

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Given equation:

[tex]2 \ln 4+\ln x=3 \ln 2+\ln(x+1)[/tex]

[tex]\textsf{Apply the power law}: \quad n \ln x = \ln x^n[/tex]

[tex]\implies \ln 4^2+\ln x=\ln 2^3+\ln(x+1)[/tex]

Simplify:

[tex]\implies \ln 16+\ln x=\ln 8+\ln(x+1)[/tex]

Subtract ln 8 from both sides:

[tex]\implies \ln 16+\ln x- \ln 8=\ln(x+1)[/tex]

Subtract ln x from both sides:

[tex]\implies \ln 16-\ln 8=\ln(x+1)-\ln x[/tex]

[tex]\textsf{Apply the quotient law}: \quad \ln x - \ln y = \ln \frac{x}{y}[/tex]

[tex]\implies \ln \left\dfrac{16}{8}\right = \ln \left(\dfrac{x+1}{x}\right)[/tex]

Simplify:

[tex]\implies \ln 2 = \ln \left(\dfrac{x+1}{x}\right)[/tex]

[tex]\textsf{Apply the equality law}: \quad \textsf{if }\: \ln x= \ln y\:\textsf{ then }\:x=y[/tex]

[tex]\implies 2=\dfrac{x+1}{x}[/tex]

Multiply both sides by x:

[tex]\implies 2x=x+1[/tex]

Subtract x from both sides:

[tex]\implies x=1[/tex]