Write the missing powers
of 10.
_____x0.005 = 5

Answer:

\(-\frac{15}{4}\)

Step-by-step explanation:

To find the slope or the gradient of a line you have to utilise the formula

\(\frac{y2-y1}{x2-x1}\)

Y₂ = -7

Y₁ = 8

X₂ = 7

X₁ = 3

So,

\(\frac{-7-8}{7-3}\)

→ Simplify

\(-\frac{15}{4}\)

By using the given points, we will see that the slope is -15/4.

If we know that a given line passes through two known points (x₁, y₁) and (x₂, y₂), then the slope can be written as:

\(s = \frac{y_2 - y_1}{x_2 - x_1}\)

Here the line passes through the points (3, 8) and (7, -7).

Using the above formula, we can see that the slope is:

\(s = \frac{-7 - 8}{7 - 3} = \frac{-15}{4}\)

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The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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Answer:

At Marco Market, a chewy toy costs $2 and a cat collar costs $6. Meanwhile, at Sonia Superstore, a chewy toy for dogs costs $4 and a cat collar costs $4. To represent the quantities of each item that can be purchased at each store, an equation can be used.

Step-by-step explanation:

At Marco Market, a chewy toy costs $2 and a cat collar costs $6. Meanwhile, at Sonia Superstore, a chewy toy for dogs costs $4 and a cat collar costs $4. To represent the quantities of each item that can be purchased at each store, an equation can be used.

The total cost of each utility eliminating 450 tons of pollution is $180,000.

To calculate the total cost for each utility to eliminate 450 tons of pollution, we need to multiply the cost per ton of pollution elimination by the number of tons each utility needs to eliminate.

For People's Electric, the cost of eliminating one ton of pollution is $400. So, to eliminate 450 tons, the total cost would be 450 tons * $400/ton = $180,000.

For Municipal Energy, the cost of eliminating one ton of pollution is $350. Again, to eliminate 450 tons, the total cost would be 450 tons * $350/ton = $157,500.

Therefore, the total cost for each utility to eliminate 450 tons of pollution is $180,000 for People's Electric and $157,500 for Municipal Energy.

The cost calculation is based on the given information that each utility is provided with 450 pollution permits by the government. These permits allow them to legally produce a ton of pollution. By setting a limit on the number of permits, the government aims to reduce pollution by half. The utilities have the option to trade permits with each other.

In this scenario, People's Electric has a higher cost of eliminating pollution per ton compared to Municipal Energy ($400 vs. $350). It means that People's Electric would find it more expensive to reduce pollution through internal measures like investing in cleaner technology or implementing environmental initiatives. On the other hand, Municipal Energy has a lower cost, indicating that they have relatively more cost-effective methods for pollution reduction.

Given these costs, it is more beneficial for People's Electric to purchase permits from Municipal Energy rather than eliminating the pollution themselves. By purchasing permits, People's Electric can meet the pollution reduction target at a lower cost. Conversely, Municipal Energy can generate additional revenue by selling their permits.

This permit trading mechanism allows for cost efficiency in achieving the government's pollution reduction goal. The total cost for each utility is determined by multiplying the cost per ton of pollution elimination with the number of tons they need to eliminate.

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Step-by-step explanation:

-7(-4p+1) + 2p

-7 x -4 = 28p

-7 x 1 = -7

28p + 2p = 30p

so

30p-7

Answer: This is non-proportional A half-gallon of milk should cost less than a gallon of milk, and either way, it is non-proportional

Step-by-step explanation:

And Please Give Yo Boy Brainlest MHM  I KNOW IM RIGHT

Answer:

no

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

A rational number is number that can be made by dividing two integers, like a fraction, or a ratio. Something that would not be a rational number would be like the square root of 2.

Step-by-step explanation:

hg=4

if correct then can we become friends

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Answer:

7 cajas grandes y 3 cajas pequeñas  

Step-by-step explanatio:

Answer:

Hi there!

Your answers are:

As the pizza size increases, the topping price increases and the base price increases

The small pizza:

Base price: $9.49

Price per topping: $1.39

The medium pizza:

Base price: $11.49

Price per topping: $1.59

The large pizza:

Base price: $13.49

Price per topping: $1.79

The XL pizza:

Base price: $15.49

Price per topping: $1.99

Step-by-step explanation:

small:

15.05- 12.27 = 2.78 for TWO toppings

2.78/ 2 = 1.39$ per 1 topping

12.27 - 2.78 = 9.49$ for a plain pizza

medium:

17.85-14.67 = $3.18 for TWO toppings

3.18/2 = $1.59 per 1 topping

14.67- 3.18= $11.49 for plain pizza

large:

20.65-17.07= $3.58 for TWO toppings

3.58/ 2 = $1.79 per 1 topping

17.07- 3.58= $13.49 for plain pizza

xl:

23.45- 19.47= $3.98 for TWO toppings

3.98/2 = $1.99 per 1 topping

19.47- 3.98 = $15.49

I hope this makes sense! Let me know if you need clarification!

Answer:

D.

\((3x - 15) = (45 - x) \\ 4x = 60 \\ x = 15 \\ < acd = (3 \times 15) - 15 \\ = 45 - 15 \\ = 30 \degree\)

Answer:

The graph is incorrect

The form has to be

f(x) = \(a^{x}\)

So, according to the graph, when y = 1 x = -5

This is not possible

Are you sure that the graph is correct?

Step-by-step explanation:

Hope this helps

The function f(x) = 3x³ + 5 is neither even nor odd. To determine whether a function is even or odd, you need to check how the function behaves when x is replaced with -x.

To determine whether the given function is even, odd, or neither, we need to check the following conditions:

Even function: If f(-x) = f(x) for all x in the domain of f, then the function is even.

Odd function: If f(-x) = -f(x) for all x in the domain of f, then the function is odd.

Let's check these conditions for the given function:

f(x) = 3x³ + 5

f(-x) = 3(-x)³ + 5 = -3x³ + 5

f(x) = 3x³ + 5

Since f(-x) is not equal to f(x), the function is not even.

f(-x) = 3(-x)^3 + 5 = -3x^3 + 5

-f(x) = -(3x^3 + 5) = -3x^3 - 5

Since f(-x) is not equal to -f(x), the function is not odd.

Therefore, the given function is neither even nor odd.

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10

Step-by-step explanation:

I think it's 10 my bad if I'm wrong

The mass of 1 whole pizza will be 384 g.

What is Proportion ?

A part, piece, or number that is measured in comparison to a total is referred to as a proportion in general. When two ratios are equal, according to the definition of proportion, they are in proportion. It is a formula or claim that shows that two ratios or fractions are equivalent.

He has cut 1st pizza into 24 slices and other pizza into 8 slices.

Let the mass of small slice to be "x" g

So, the mass of large slice will be " 32+x " g

Now, Ben has two identical pizzas, it means the mass of both pizzas will be same.

So, mass of 1st pizza = mass of other pizza

                        24 x   =  8 ( 32+x )

                        24x = 256 + 8x

                        16x = 256

                         x = 16

Hence, the mass of 1 whole pizza = 24 × 16 = 384 g.

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Answer:

length= 9

width= 3

Step-by-step explanation:

x= width

length = x+6

x+6+x+6+x+x=24

4x+12=24

take 12 from both sides

4x= 12

x=3

The natural breaks, quantile, and equal interval classification schemes are methods used to categorize data for the purpose of creating thematic maps. Each scheme has its own approach and considerations: Natural Breaks, Quantile, Equal Interval.

Natural Breaks (Jenks): This classification scheme aims to identify natural groupings or breakpoints in the data. It seeks to minimize the variance within each group while maximizing the variance between groups. Natural breaks are determined by analyzing the distribution of the data and identifying points where significant gaps or changes occur. This method is useful for data that exhibits distinct clusters or patterns.

Quantile (Equal Count): The quantile classification scheme divides the data into equal-sized classes based on the number of data values. It ensures that an equal number of observations fall into each class. This approach is beneficial when the goal is to have an equal representation of data points in each category. Quantiles are useful for data that is evenly distributed and when maintaining an equal sample size in each class is important.

Equal Interval: In the equal interval classification scheme, the range of the data is divided into equal intervals, and data values are assigned to the corresponding interval. This method is straightforward and creates classes of equal width. It is useful when the range of values is important to represent accurately. However, it may not account for data distribution or variations in density.

In summary, the natural breaks scheme focuses on identifying natural groupings, the quantile scheme ensures an equal representation of data in each class, and the equal interval scheme creates classes of equal width based on the range of values. The choice of classification scheme depends on the nature of the data and the desired representation in the thematic map.

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The variable "area of the circle" would likely be classified as a continuous variable, as it can take on any value within a certain range (e.g. 0 to infinity), and the difference between any two values within that range can be any positive value.

The variable "number of equal slices in a pizza" would likely be classified as a discrete variable, as it can only take on certain integer values (e.g. 1, 2, 3, etc.). Similarly, the variable "portion of the pizza in one slice" would also be classified as a discrete variable, as it can only take on certain values (e.g. 1/2, 1/3, 1/4, etc.).

The variable "air temperature in Saint Paul, MN" would likely be classified as a continuous variable, as it can take on any value within a certain range (e.g. -40 to 120 degrees Fahrenheit), and the difference between any two values within that range can be any positive value.

The variable "last four digits of a Social Security number" would likely be classified as a discrete variable, as it can only take on certain integer values (e.g. 0001 to 9999).

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Answer:

The first rectangle is 3x² - 6x + 13 more square feet then the second rectangle

Step-by-step explanation:

A rule for subtracting polynomials

Steps

At the end of the expression is (7x²- 4x + 12) + -4x² - 2x + 1

At this point you combine like terms like you do with adding polynomials so ( 7x² + (-4x²) is 3x², (-4x) + (-2x) is (-6x), and 12 + 1 is 13) so the final answer would be 3x²-6x+13

Answer:

The average increase in the number of smart

phones per year is 45

Step-by-step explanation:

Given that :

Number of students who had phones in 2005 = 120

Number of students who had phones in 2010 = 345

(345 - 120) / 5

225 / 5

= 45

Hence, average increase in number of smartphones per year = 45

Answer:

AJ. x<20

Lyla. x> or equal to70

Rook. x>or equal to 6

River. x<8

I hope that this helped

The final function that represents the given transformations is:

f(x) = -log(x + 2) - 3

What is parent function?

In mathematics, a parent function is a basic function from which other functions can be derived through a set of transformations. It serves as a starting point for understanding more complex functions by showing the most basic characteristics of the function.

Starting with the parent function f(x) = log(x), the given transformations are:

Horizontal shift to the left by 2 units: The graph has been shifted 2 units to the left, which means that the argument of the logarithmic function should be (x + 2) instead of "x". So the function becomes:

f(x) = log(x + 2)

Reflection about the x-axis: The graph is the opposite of the parent function, which means it has been reflected about the x-axis. This changes the sign of the function, so we get:

f(x) = -log(x + 2)

Vertical shift down by 3 units: The graph has been shifted down by 3 units, which means that the entire function has been shifted downward by 3 units. So we get:

f(x) = -log(x + 2) - 3

Therefore, the final function that represents the given transformations is:

f(x) = -log(x + 2) - 3

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Rounding to the nearest year, the estimated age of the prehistoric cave paintings is approximately 9445 years.

To estimate the age of the prehistoric cave paintings in France, we'll use the exponential decay model for carbon-14 given by the equation

A = A₀\(e^(-0.000121t),\)

where A is the remaining amount of carbon-14, A₀ is the original amount of carbon-14, and t is the age in years.
We are given that the paint contains 35% of the original carbon-14, which means A = 0.35A₀.

We will now plug this into the exponential decay equation:
0.35A₀ = A₀\(e^(-0.000121t)\)
Now, we'll divide both sides by A₀:
\(0.35 = e^(-0.000121t)\)
To solve for t, we'll take the natural logarithm (ln) of both sides:
\(ln(0.35) = ln(e^(-0.000121t))\)
Using the property of logarithms that\(ln(e^x) = x\), we have:
ln(0.35) = -0.000121t
Now, we'll divide by -0.000121 to solve for t:
t = ln(0.35) / -0.000121
Using a calculator, we get:
t ≈ 9444.77.

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Given:

89.3%

To convert into decimal:

Hence, the answer is 0.893.

Answer:

Step-by-step explanation:

nth term means an expression which allows us to find the term that is in the nth position in the sequence.

Hope this helps

plz mark as brainliest!!!!!!!!!

Answer:

7

Step-by-step explanation:

Answer:

x = 13

Step-by-step explanation:

The addition of the discrete-time signals gives x₃(n) = (0, 1, 4, 4), and the multiplication of discrete-time signals gives x₄(n) = (-4, -2, 3, 4).

To perform the addition of discrete-time signals, we simply add the corresponding samples at each time index.

Given:

x₁(n) = (2, 2, 1, 2)

x₂(n) = (-2, -1, 3, 2)

Adding the corresponding samples:

x₃(n) = x₁(n) + x₂(n) = (2 + (-2), 2 + (-1), 1 + 3, 2 + 2)

      = (0, 1, 4, 4)

Therefore, x₃(n) = (0, 1, 4, 4)

To perform the multiplication of discrete-time signals, we multiply the corresponding samples at each time index.

Given:

x₁(n) = (2, 2, 1, 2)

x₂(n) = (-2, -1, 3, 2)
Multiplying the corresponding samples:

x₄(n) = x₁(n) * x₂(n) = (2 * (-2), 2 * (-1), 1 * 3, 2 * 2)

      = (-4, -2, 3, 4)

Therefore, x₄(n) = (-4, -2, 3, 4)

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