Find the slope, or rate of change, from the following ordered pairs: (-2, 17) and (-1, 5).

Answer:

209,32°F should be the right answer

Answer:

b = -.0018a + 214

Step-by-step explanation:

b = -.0018a + 214

b = -.0018(2600) + 214

b = -4.68 + 214

b = 209.32

Answer: 57 R3

‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎ ‎

Answer:

57 R 3

Step-by-step explanation:

6 goes into 34 5 times with 4 extra, pull down the 5, and 6 goes into 45 7 times with 3 extra. So the answer is 57 R 3.

Answer:

5

Step-by-step explanation:

have a great day and hope helpful pls mark as brainliest

Answer:

Shai received $192 while Mara received $288.

Step-by-step explanation:

Let u be 1 unit.

5u=$160

u=$160÷5

=$32

6u=$32×6

=$192

9u=$32×9

=$288

Answer:

√3+√2 = 3.15

Step-by-step explanation:

because you can't square root those two so it will be a decimal

The product of (7.2×10¹¹) and (5×10⁶) in scientific notation, rounded to the appropriate number of significant digits, is 3.6 × 10¹⁸.

To write each product or quotient in scientific notation, we first need to multiply the numbers and then adjust the result to scientific notation. Let's start with the multiplication:

(7.2×10¹¹) (5×10⁶)

To multiply these numbers, we can simply multiply the coefficients (7.2 and 5) and add the exponents (10¹¹ and 10⁶):

(7.2 × 5) × (10¹¹ × 10⁶)

= 36 × 10¹⁷

Now, to express this result in scientific notation, we need to have a coefficient between 1 and 10. We can achieve this by moving the decimal point one place to the left:

3.6 × 10¹⁸

Therefore, the product of (7.2×10¹¹) and (5×10⁶) in scientific notation, rounded to the appropriate number of significant digits, is 3.6 × 10¹⁸.

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It will take 4 hours for Ashley to clean the house alone.Answer: Ashley will take 4 hours to clean the house alone.

Given:Ashley and Rod cleaned the house in 4 hours. Rod can clean the house alone in 2 hours.To find:How long will it take for Ashley to clean the house alone?Solution:Let's suppose the time Ashley takes to clean the house alone is x hours.Then, Ashley and Rod can clean the house in 4 hours.Thus, using the concept of work, we have:\begin{aligned} \text { Work done by Ashley in 1 hour } + \text { Work done by Rod in 1 hour } &= \text { Work done by Ashley and Rod in 1 hour } \\ \Rightarrow \frac {1}{x} + \frac {1}{2} &= \frac {1}{4} \\ \Rightarrow \frac {2 + x}{2x} &= \frac {1}{4} \\ \Rightarrow 8 + 4x &= 2x \\ \Rightarrow 2x - 4x &= -8 \\ \Rightarrow x &= 4 \end{aligned}Therefore, it will take 4 hours for Ashley to clean the house alone.Answer: Ashley will take 4 hours to clean the house alone.

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Answer:

=15

Step-by-step explanation:

45-x% *45=38.25

(-45) x/100=38.5-45

(-45)x/100=(-6.75)

x=6.75 * 100/45

=15

The percent of the discount is 15.

It is required to find the percent of the discount.

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

Let the discount percent be x%

When the price of $45 is reduced by x%, we get $38.25.

So,

45 − x % ∗ 45 = 38.25

− 45 x /100 = 38.25 − 45

− 45 x /100 = − 6.75

x = 6.75 ∗ 100 /45

x= 15

Therefore, the percent of the discount is 15.

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Answer:

Step-by-step explanation:

\(10 \sqrt{5} \)

\( \sqrt{ {10}^{2} } \sqrt{5} \)

\( \sqrt{5 \times {10}^{2} } \)

\( \sqrt{5 \times 100} \)

\( \sqrt{500} \)

Answer:

500

Step-by-step explanation:

I took the test

a) Domain: All non-negative integers.

   Range: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

b) Domain: Positive integers.

   Range: All positive integers except for the greatest integer.

c) Domain: Any bit string.

   Range: The set of non-negative integers from 0 to the length of the string inclusive.

d) Domain: Any bit string.

   Range: Non-negative integers.

The requested terms, domain and range, refer to the values in the function. They are, however, quite different in nature. In this case, we'll need to define both terms before moving on to the actual problem.

The domain refers to the input values that a function can accept. It's the set of values that can be plugged into the function's equation to get a meaningful result. We'll say that a function has a restricted domain if it doesn't accept all input values.

The range is the set of output values that a function generates for each input value. It's the complete set of possible outcomes for a given function. It's vital to determine the range to ensure that the function is well-defined.

Let's apply this to the problem at hand:

a. the function that assigns to each non-negative integer its last digit.

Domain: All non-negative integers.

Range: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

b. the function that assigns the next largest integer to a positive integer.

Domain: Positive integers.

Range: All positive integers except for the greatest integer.

c. the function that assigns to a bit string the number of one bits in the string.

Domain: Any bit string.

Range: The set of non-negative integers from 0 to the length of the string inclusive.

d. the function that assigns to a bit string the number of bits in the string.

Domain: Any bit string.

Range: Non-negative integers.

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Correct option for sets of numbers with sufficient for the calculation is;

(3) p(A = 1), p(B = 1 | A = 1), p(C = 1 | A = 1)

A more detailed explanation of the answer.

(a) In order to calculate p(A = 1 | B = 1, C = 1), we need to find the joint probability p(A = 1, B = 1, C = 1) and divide it by p(B = 1, C = 1). To find the joint probability, we can use the following formula:

p(A = 1, B = 1, C = 1) = p(A = 1) * p(B = 1 | A = 1) * p(C = 1 | A = 1, B = 1)

Based on this formula, we can see that none of the given sets are sufficient for the calculation.

(b) Now that we know p(B | A, C) = p(B | A), the joint probability formula becomes:

p(A = 1, B = 1, C = 1) = p(A = 1) * p(B = 1 | A = 1) * p(C = 1 | A = 1)

In this case, set (3) is sufficient for the calculation:

(3) p(A = 1), p(B = 1 | A = 1), p(C = 1 | A = 1)

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Mathematical modeling of surfaces is the representation of two-dimensional manifolds using mathematical techniques, particularly in the context of Digital Terrain Modeling (DTM) where surfaces refer to the Earth's terrain or physical objects.

Mathematical modeling of surfaces plays a crucial role in various fields, including computer graphics, engineering, and geosciences. Surfaces are fundamental objects that can be represented and analyzed using mathematical techniques.

In this section, we will delve into the concept of surfaces, particularly in the context of Digital Terrain Modeling (DTM). Additionally, we will explore the distinction between 3D and 2D DTM.

1. The Concept of Surfaces:

In the realm of mathematics, a surface is defined as a two-dimensional manifold, meaning it is a topological space that locally resembles Euclidean space.

In simpler terms, a surface is a geometrical entity that can be thought of as a continuous collection of points, forming a boundary between a solid and its surrounding space. In the context of DTM, surfaces typically refer to the representation of the Earth's terrain or any other physical object using mathematical models.

2. Digital Terrain Modeling:

Digital Terrain Modeling involves the creation of digital representations of the Earth's surface or any specific region using computer algorithms. It serves as a crucial tool in various applications, such as urban planning, environmental analysis, and military simulations. DTM utilizes mathematical models to represent the terrain accurately, allowing for detailed analysis and visualization.

3. 3D Digital Terrain Models:

A 3D Digital Terrain Model (DTM) is a representation of the Earth's surface that captures three-dimensional information. It provides a detailed depiction of the terrain, including elevation data, contours, and topographical features.

3D DTMs are typically generated using techniques such as LiDAR (Light Detection and Ranging) or photogrammetry. These models enable precise analysis of the landscape, volumetric calculations, and visualization from different perspectives.

4. 2D Digital Terrain Models:

In contrast to 3D DTMs, 2D Digital Terrain Models represent the Earth's surface in two dimensions. They provide a simplified view of the terrain, focusing primarily on elevation data and contour lines. 2D DTMs are commonly used in cartography, where the terrain is represented on a flat surface, such as a map or a computer screen. While they lack the depth information of 3D DTMs, 2D models are still valuable for many applications, including geographic information systems (GIS) and land surveying.

5. Differences between 3D and 2D Digital Terrain Models:

The main distinction between 3D and 2D DTMs lies in the level of detail and the dimensionality of the representation. 3D DTMs provide a more comprehensive and realistic view of the terrain, capturing not only the elevation but also the shape, slopes, and other three-dimensional features. These models are highly suitable for applications that require a precise understanding of the terrain's topography, such as hydrological analysis or landscape design.

On the other hand, 2D DTMs offer a simplified representation of the terrain, primarily focusing on elevation data and contour lines. They are more commonly used for general visualization and analysis purposes where the third dimension is not critical. 2D DTMs are easier to create and process, making them more accessible for applications that do not require intricate three-dimensional modeling.

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To compare the two quantities, divide the number of giraffes by the number of penguins There are 5 times as many giraffes as penguins at the zoo.

To compare the two quantities, you need to divide the number of giraffes by the number of penguins.

30 giraffes / 6 penguins = 5

This means that there are 5 times as many giraffes as penguins at the zoo.

There are 5 times as many giraffes as penguins at the zoo. To compare the two quantities, divide the number of giraffes by the number of penguins (30/6 = 5). This means that there are 5 times more giraffes than penguins at the zoo.

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The identity is verified since the expression containing sines simplifies to cos^2 α in the explanation below.

To verify the identity containing sines we can follow the given steps:

Step 1: Recognize that the given expression is in the form of a difference of squares, where (1 + sin α) and (1 - sin α) are the two factors.

Step 2: Use the difference of squares formula: (a + b)(a - b) = a^2 - b^2. In this case, a = 1 and b = sin α.

Step 3: Apply the difference of squares formula: (1 + sin α)(1 - sin α) = (1)^2 - (sin α)^2 = 1 - sin^2 α.

Step 4: Recall the Pythagorean identity for trigonometric functions: sin^2 α + cos^2 α = 1. We can rearrange this identity to find cos^2 α: cos^2 α = 1 - sin^2 α.

Step 5: Substitute the rearranged Pythagorean identity into the expression from Step 3: 1 - sin^2 α = cos^2 α.

So, we have verified the identity (1 + sin α)(1 - sin α) = cos^2 α.

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Step-by-step explanation:

when you have a problem you can tell me please follow

If f(x) = x ⁴ - 2x ² + 3, compute the first and second derivatives:

f'(x) = 4x ³ - 4x

f''(x) = 12x ² - 4

Solve f'(x) = 0 to get the critical points of f(x) :

4x ³ - 4x = 4x (x ² - 1) = 0

→   x = -1, x = 0, x = 1

Check the sign of the second derivative at each of these points:

f'' (-1) = 8 > 0

f'' (0) = -4 < 0

f'' (1) = 8 > 0

These indicate the presence of

• two minima of f (-1) = 2 and f (1) = 2

• one maximum of f (0) = 3

which makes C the correct answer.

Answer:

A. g(x) = 4.2%

Step-by-step explanation:

If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what

is the equation of the new function?

A. g(x) = 4.2%

B. g(x) = 24

C. g(x) = . 2*

D. g(x) = 2 .4*

im not sure

The vertical stretch of the transformation of the function is g ( x ) = 4 ( 2 )ˣ

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 2ˣ

Now , the vertical stretch of a factor of 4 is given by

The transformed function is g ( x )

g ( x ) = 4 f ( x )

On simplifying , we get

g ( x ) = 4 ( 2 )ˣ

Hence , the transformed function is g ( x ) = 4 ( 2 )ˣ

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The complete question is attached below :

If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what

is the equation of the new function?

A. g(x) = 4.2%

B. g(x) = 24

C. g(x) = . 2*

D. g(x) = 2 .4*

Answer:

10 $

Step-by-step explanation:

30*2/3

10*2

20

30-20

10 is his change

Using the given sin θ = 4/8, we can calculate the value of tan θ to determine the correct option. The correct option is option (d) .

To find the value of tan θ, we can use the identity tan θ = sin θ / cos θ. Given sin θ as 4/8, we need to find cos θ in order to calculate tan θ. Using the Pythagorean identity sin² θ + cos² θ = 1, we can solve for cos θ by substituting the value of sin θ: (4/8)² + cos² θ = 1.

Simplifying, we get 16/64 + cos² θ = 1, which further simplifies to 1/4 + cos² θ = 1. Solving for cos θ, we find cos θ = √3/2.

Now we can calculate tan θ using tan θ = sin θ / cos θ, which gives us (4/8) / (√3/2) = 4/(8√3/2) = 4√3/8 = √3/2. Therefore, option (d) is the correct answer.


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Answer:

5750

Step-by-step explanation:

add the 3 populations together, divide by the number of populations (3)

Answer:

C

Step-by-step explanation:

These scatterplots show that model type A is best suited to summarize the relationship between year and stock price. The scatterplot of the processed data is nearly linear, so a linear model is suitable.

The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis.

A linear model is applicable if we can create a linear equation based on the connection between the independent and dependent variables (because there is no constant rate of change).

These scatterplots show that model type A is best suited to summarize the relationship between year and stock price. The scatterplot of the processed data is nearly linear, so a linear model is suitable.

Thus, despite its being curved, a linear model is adequate for this time and price scatterplot.

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Answer:

look at the picture i have sent

Two statements that would prove the similarity of the triangles are given as follows:

Two triangles are defined as similar triangles when they share these two features listed as follows:

The equivalent side lengths for this problem are given as follows:

The equivalent angles for this problem are given as follows:

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Answer:

add 2 to 13 thats 15 divided by 3 is 5

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

5+7 is 12, 60 divided by 12 is 5.   5x5 is 25

Answer:

325

Step-by-step explanation:

40/100=130/x

Cross multiply to find x

40x=13000

/4            /4

x=325

Answer:

joy

Step-by-step explanation:

Answer:

Irene

Wendy

Seulgi

Joy

Yeri

Step-by-step explanation:

Answer:

i dont kno why did he win an award ?

Step-by-step explanation:

\(\frac{1}{2} x+6(x+15)=12\\\\\frac{1}{2} x+6x+90=12\\\\6\frac{1}{2} x+90=12\\6\frac{1}{2} x=-78\\x=-12\)

\(y=x+15\\y=-12+15\\y=3\)