plsss help urgent!!!

Answer:

204 square mm

Step-by-step explanation:

Area of a triangle = (1/2)*base*height

The entire bottom is 24, but those | show that each side of the bottom of the figure are equal lengths. So 24/2 = 12. The bottom of the triangle is 12 mm.

The height of the triangle is 7+9=16

So the area of the triangle = (1/2)*12*16 = 96 square mm

The rectangle is 12 mm on the bottom (the other half of the 24 that we just divided above), and the height is 9.

Area of a rectangle = length x height = 12*9 = 108 square mm

Add them up!

96 + 108 = 204 square mm

Answer:

64

Step-by-step explanation:

we must multiply 2×4 which is 8 after that we multiply 2×4 which is 8 and then we multiply 8×8 which is 64

The slope of the line that passes through the points (3, 2) and (-1, -4) is 3/2.

The given coordinate point is (3, 2) and (-1, -4).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

Here, slope(m) = (-4-2)/(-1-3)

= -6/(-4)

= 3/2

= 1.5

Therefore, the slope of the line that passes through the points (3, 2) and (-1, -4) is 3/2.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ1

1) Note that  the grid needs to be 8 squares wide to accommodate the data.

2) a scale of 0.2 km per square on the vertical axis would provide a clear representation of the data while utilizing the available space effectively.

1) To find  the width of the grid, we need to find the total number of data points on the x- axis.

Here , the time since the start is given at intervals of 5 minutes. From 0 - 35 minutes, there are a total of 8 data points.

Thus, we are right to state that  the grid needs to be 8 squares wide to accommodate the data.

2)

We must decide the optimal scale for visualizing data on the vertical axis because the grid is 20 squares tall. Looking at  the distance from the starting point, we can see that the figures range from 0 to 1.9 kilometers.

To make the best  use of the grid area, we may select an appropriate scale that includes the  data range.

In this scenario, a vertical scale of 0.2 km per square would offer a clear depiction of the data while properly utilizing the available space.

Learn more about grid:
https://brainly.com/question/22785606
#SPJ1

The length of the white painted line on the road is 517.36 bases.

Let's denote the length of the white painted line as"x."

We have,

distance between white painted bow and common vertex point = 135 bases.

and, The angle formed  = 84 degrees.

Now, Using the cosine function

cos( 84 degrees) = conterminous/ hypotenuse

cos( 84 degrees) = 135/ x

x = 135/ cos( 84 degrees)

x ≈517.36 bases

Thus, the length of the white painted line on the road is 517.36 bases.

Learn more about Trigonometry here:

https://brainly.com/question/12068045

#SPJ1

]The cross-section could be of these shapes square and triangle.

We know that a cross-segment is a plane segment that is a segment of a three-dimensional item that is parallel to one among its planes of symmetry or perpendicular to considered one of its traces of symmetry.

An instance of a segment would be a circle.

However, cross-phase is seen whilst a 3-dimensional figure is reduced through a plane. within the case of the cone, a circular go-segment emerges while the cone is cut parallel to its base

The go-sectional region is the location of a 3-dim figure that is acquired whilst a three-dimensional object - inclusive of a cylinder - is sliced perpendicular to some designated axis at a point.

Learn more about cross-section here;

brainly.com/question/2459472

#SPJ1

The maximum number of turns for the graph of f ( x )=- x ⁴ + 3 x ² can be found to be 2 turns.

The maximum number of turns for the function can be determined by looking at the number of changes in the sign of the derivative of the function.

If derived, the derivative of the function is f ' ( x ) = - 4x ³ + 6x.

The derivative is equal to 0 at x = 0 and x = 3/2.

As a result of the derivative being negative for x < 0 and x > 3 / 2, and positive for 0 < x < 3 / 2, the graph of the function has a maximum of 2 turns.

Find out more on maximum turns at https://brainly.com/question/11943784

#SPJ1

Answer:

x = 120 , y = 50

Step-by-step explanation:

1 and 140° are a linear pair and sum to 180° , that is

1 + 140 = 180 ( subtract 140 from both sides )

1 = 40

the sum of the 3 angles in Δ ABE = 180° , so

∠ BAE = 180° - ( 80 + 40)° = 180° - 120° = 60°

∠ BAE and ∠ CDE are same- side interior angles and sum to 180° , that is

x + 60 = 180 ( subtract 60 from both sides )

x = 120

the sum of the 3 angles in Δ CDE = 180° , that is

10 + x + 2 = 180

10 + 120 + 2 = 180

130 + 2 = 180 ( subtract 130 from both sides )

2 = 50

AED is a straight line , then

y + 80 + 2 = 180

y + 80 + 50 = 180

y + 130 = 180 ( subtract 130 from both sides )

y = 50

Answer: It costs about 7.32 to buy enough lemons.

The simplified expression as a single logarithm is:

log[tex][(x+4)^3(x-7)^2 / (x-2)^5] + log(x^2)[/tex]

Let's start by using the power rule of logarithms, which states that [tex]log(base b)(x^a) = a \times log(base b)(x).[/tex]

Using this rule, we can rewrite the expression as follows:

3log(x+4) + 2log(x-7) - 5log(x-2) + log([tex]x^2[/tex])

= log[tex](x+4)^3 + log(x-7)^2 - log(x-2)^5 + log(x^2)[/tex]

Next, let's apply the product rule of logarithms, which states that log(base b)(xy) = log(base b)(x) + log(base b)(y).

Using this rule, we can combine the logarithms:

= log[tex][(x+4)^3(x-7)^2] - log[(x-2)^5] + log(x^2)[/tex]

Finally, we can apply the quotient rule of logarithms, which states that log(base b)(x/y) = log(base b)(x) - log(base b)(y).

Applying the quotient rule, we can simplify further:

= log[tex][(x+4)^3(x-7)^2 / (x-2)^5] + log(x^2)[/tex]

Thus, the simplified expression as a single logarithm is:

log[tex][(x+4)^3(x-7)^2 / (x-2)^5] + log(x^2)[/tex]

for such more question on logarithm

https://brainly.com/question/13473114

#SPJ11

Answer:

[tex]x=-5,-1,1,5[/tex]

Step-by-step explanation:

Use the Zero Product Property and set each factor equal to 0

[tex]h(x)=5(x-5)(x+5)^2(x^2-1)[/tex]

[tex]0=x-5\\x=5[/tex]

[tex]0=(x+5)^2\\0=x+5\\x=-5[/tex]<-- Multiplicity of 2

[tex]0=x^2-1\\0=(x-1)(x+1)\\x=-1,1[/tex]

Therefore, all real zeroes of the function are [tex]x=-5,-1,1,5[/tex]

Mowing lawns had more variation in earnings compared to shoveling snow.

To determine which job had more variation in earnings based on the given box plots, we need to compare the spread or interquartile range (IQR) of each job.

The interquartile range represents the range of the middle 50% of the data, which provides a measure of the variation in earnings.

Looking at the box plots, we can compare the lengths of the boxes or the distances between the first quartile (Q1) and the third quartile (Q3) for each job.

From the given information, it appears that the box plot for mowing has a larger spread than the box plot for shoveling. This can be observed by comparing the lengths of the boxes or the distances between Q1 and Q3.

Therefore, based on the given box plots, mowing lawns had more variation in earnings compared to shoveling snow.

To learn more about the box-and-whisker plot ;

https://brainly.com/question/2742784

#SPJ1

The solution after changing its unit is,

⇒ 32 hectare = 80 acre

We have to given that;

To convert the given square unit to the square unit indicated.

⇒ 32 ha to acres

Since, A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

We have to given that,

⇒ 1 acre = 0.4 hectare (ha)

Hence,

⇒ 1 hectare (ha) = 1 / 0.4 acre

So, WE get;

⇒ 32 hectare = 32 / 0.4 acre

⇒ 32 hectare = 320/4 acre

⇒ 32 hectare = 80 acre

Thus, The solution after changing its unit is,

⇒ 32 hectare = 80 acre

Learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ1

Thus, errors in radius have a more significant impact on volume than height errors.

The volume of a cylindrical can is V = πr²h. If there's an error of p% in the radius, the volume error will be approximately 2p% as the volume depends on the square of the radius.

This is calculated using differentials, where dV = V′(r)dr and the error is 100*(dV/V). If there's an error of p% in the height, the volume error will be approximately p% as the volume is directly proportional to the height.

This uses the same differential method.

Thus, errors in radius have a more significant impact on volume than height errors.

Read more about percent error here:

https://brainly.com/question/5493941

#SPJ1

The simplified expression of the logarithmic expression is Log(a³ˣ ⁺ ¹ ⁻ ¹⁶ˣ²)

From the question, we have the following parameters that can be used in our computation:

Loga + 3Logaˣ - 2 Log a⁴ˣ

Express properly

So, we have

Log(a) + 3Log(aˣ) - 2 Log(a⁴ˣ)

So, we have

Log(a) + Log(a³ˣ) - Log(a¹⁶ˣ²)

The logarithmic expression can be simplified using the product and the quotient rule

This gives

Log(a * a³ˣ/a¹⁶ˣ²)

So, we have

Log(a³ˣ ⁺ ¹ ⁻ ¹⁶ˣ²)

Hence, the simplified expression is Log(a³ˣ ⁺ ¹ ⁻ ¹⁶ˣ²)

Read more about logarithm at

https://brainly.com/question/28041634

#SPJ1

The value of the angle that has been marked as U is 77 degrees.

The cosine rule, also known as the law of cosines, is a trigonometric relationship that relates the lengths of the sides of a triangle to the cosine of one of its angles.

If we know the lengths of the other two sides and the measurement of the included angle, we can use the cosine rule to determine the length of one side of a triangle.

We know that

[tex]v^2 = t^2 + u^2 - 2(ut) Cos 51\\v^2 = (22)^2 + (79)^2 - 2(22 * 79) Cos 51\\v^2 = 6725 - 2188[/tex]

v = 63

Using the sine rule;

v/Sin V = u /Sin U

U = Sin-1 (uSin V/v)

U = Sin1-1(79 * Sin 51/63)

U = 77 degrees

Learn more about sine rule:https://brainly.com/question/30701746

#SPJ1

The equation of the circle with the center (0, 4) and a point (-1, 8) on the circle is x² + (y - 4)² = 17.

The standard form equation of a circle with center (h, k) and radius r is:

(x - h)² + (y - k)² = r²

Given that the center is (0, 4) and a point (-1, 8) is on the circle, we can calculate the radius using the distance formula:

[tex]r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\r = \sqrt{(-1 - 0)^2+(8-4)^2} \\\\r = \sqrt{(-1 )^2+(4)^2} \\\\r = \sqrt{1+16} \\\\r = \sqrt{17}[/tex]

Now, let's plug the values of the center (0,4) and the radius √17 into the standard form of the equation of a circle:

(x - h)² + (y - k)² = r²

(x - 0)² + (y - 4)² = (√17)²

Simplify

x² + (y - 4)² = 17

Therefore, the equation of the circle is x² + (y - 4)² = 17.

Option C) x² + (y - 4)² = 17 is the correct answer.

Learn more about equation of circle here: brainly.com/question/29288238

#SPJ1

In conclusion, Alejandro should carefully consider his skills, interests, market demand, available resources, and long-term goals when making a decision between opening a bakery or starting a landscaping company.

By evaluating these factors, Alejandro can make an informed decision that aligns with his passion, market potential, and personal vision for the future.

Several business ideas to him, and he has narrowed it down to two options: opening a bakery or starting a landscaping company.

Alejandro is seeking advice to make a decision.

Both options have their pros and cons.

Opening a bakery can be a fulfilling venture for Alejandro if he has a passion for baking and creating delicious treats.

It allows him to showcase his culinary skills and bring joy to people through his baked goods.

Additionally, there is often a high demand for fresh bakery products, and Alejandro could potentially attract a loyal customer base.

On the other hand, starting a landscaping company offers its own set of advantages.

If Alejandro enjoys working outdoors and has a knack for gardening and design, this could be a great fit.

Landscaping services are in demand, particularly for residential properties, and Alejandro could tap into this market.

Additionally, landscaping allows for creativity and the opportunity to transform outdoor spaces into beautiful and functional areas.

To make a decision, Alejandro should consider several factors.

Firstly, he should assess his skills, interests, and passions.

If he has a strong passion for baking and finds fulfillment in creating culinary delights, opening a bakery may be the right choice.

On the other hand, if he enjoys being outdoors, working with plants, and transforming landscapes, starting a landscaping company could be the better option.

Alejandro should also evaluate the market and competition in his area. He can conduct market research to determine the demand for bakery products or landscaping services and assess the level of competition. Understanding the market dynamics can help him gauge the potential for success and profitability in each business.

Furthermore, Alejandro should consider his available resources, including finances, equipment, and workforce. Starting a bakery requires baking equipment, ingredients, and potentially hiring staff, while a landscaping company may require tools, gardening equipment, and a team of workers.

Assessing his available resources and determining the initial investment required for each business can help Alejandro make an informed decision.

Finally, Alejandro should consider his long-term goals and vision. He can reflect on which business aligns better with his future aspirations and personal values.

It's important for Alejandro to choose a business that he can see himself being passionate about in the long run and that aligns with his desired lifestyle and goals.

For similar question on market demand.

https://brainly.com/question/10417261  

#SPJ11

Answer:

Step-by-step explanation:

Hey there,
Here's my reasoning regarding the problem:

Let's assume that the watch at the time it was lost was x years old.
When it was picked it was 3 times as old as it was when it was lost therefore it's currently 3x. The time between when it was lost and when it was found is 38 years. We can break this down into a simple algebraic formula:

3x - x = 38

2x = 38

x = 19

The calculated scale factor of the photograph is 3.5

From the question, we have the following parameters that can be used in our computation:

Photograph = 4" by 6"

Photograph copy = 14" by 21"

Using the above as a guide, we have the following:

Scale factor = Photograph copy/Photograph

substitute the known values in the above equation, so, we have the following representation

Scale factor = 14/4

Evaluate

Scale factor = 3.5

Hence, the scale factor of the photograph is 3.5

Read more about scale drawing at

https://brainly.com/question/29229124

#SPJ1

Answer:

4n + 8 = 48

Step-by-step explanation:

In the situation you described, there are 4 large tables with an equal number of guests seated at each table. Let’s represent the number of guests at each large table with the variable n. There are also 8 late-arriving guests seated at a smaller table. The total number of guests at the dinner is 48. So we can write an equation to represent this situation: 4n + 8 = 48, where 4n represents the total number of guests seated at the 4 large tables and 8 represents the number of late-arriving guests seated at the smaller table.

The function y=sin(x + sin(x+³)+5) has a phase shift of 1/3 units to the left. This is because the sine function is shifted 1/3 units to the left by the addition of sin(x+³). The function also has a vertical shift of 5 units up. This is because the constant 5 is added to the end of the equation.

The phase shift of a trigonometric function is the horizontal displacement of the graph of the function from the graph of the basic sine function. The phase shift is measured in units of x.

In order to find the phase shift of a trigonometric function, we can use the following formula:

Phase shift = -c/b

Phase shift = -0/1 = 0

This means that the graph of the function is not shifted horizontally.

The vertical shift of a trigonometric function is the vertical displacement of the graph of the function from the graph of the basic sine function. The vertical shift is measured in units of y.

Vertical shift = d

Vertical shift = 5

This means that the graph of the function is shifted 5 units up.

Learn more about functions on

https://brainly.com/question/11624077

#SPJ1

The expressions that are equivalent to 36x² - 64 are (a) 4(3x - 4)(3x + 4) and (e) (6x - 8)(6x + 8)

From the question, we have the following parameters that can be used in our computation:

36x² - 64

For the expression, we can apply the difference of two squares

Using the above as a guide, we have the following:

36x² = (6x)²

64 = 8²

So, we have the following:

36x² - 64 = (6x)² - 8²

Apply the difference of two squares

36x² - 64 = (6x - 8)(6x + 8)

Factor out 4 from the expression

36x² - 64 = 4(3x - 4)(3x + 4)

Hence, the expressions that are equivalent to 36x² - 64 are 4(3x - 4)(3x + 4) and (6x - 8)(6x + 8)

Read more about expressions at

brainly.com/question/723406

#SPJ1

The present age of the father is 10 years.

Let

Age of the father = x

Age of each child = y

Number of children = 2

Current age:

x = 2y

After 5 years:

(x + 5) = 2(2y)

x + 5 = 4y

Substitute x = 2y into

x + 5 = 4y

2y + 5 = 4y

5 = 4y - 2y

5 = 2y

divide both sides by 2

y = 5/2

y = 2.5

So,

x = 2y

x = 2(2.5)

x = 5

Therefore, present age of the father;

x + 5

= 5 + 5

= 10

Read more on algebra:

https://brainly.com/question/4344214

#SPJ1

1. The amplitude is 3

2. The period is π

3. The phase shift is -90

4. The vertical shift is 2

5. The graph is attached

From the question, we have the following parameters that can be used in our computation:

y = 3sin[2(θ - 90)] + 2

A sinusoidal function is represented as

f(x) = Asin(B(x + C)) + D

Where

So, we have

Amplitude = 3

Period = 2π/2

Phase shift = -90

Vertical shift = 2

Evaluate

Amplitude = 3

Period = π

Phase shift = -90

Vertical shift = 2

Hence, the amplitude is 3 and the period is π

Read more about sinusoidal function at

brainly.com/question/21286958

#SPJ1

Answer:

D

Step-by-step explanation:

please say thank you and please verify this answer and name me brainliest

Answer:

       3 hundred blocks

       ----------------

       |      |       |

       | 100  |  100  |

       |______|_______|

       |      |       |

       | 100  |  100  |

       |______|_______|

       |      |       |

       | 100  |  100  |

       |______|_______|

       4 tens blocks

       -------------

       |     |     |

       | 10  |  10 |

       |_____|_____|

       |     |     |

       | 10  |  10 |

       |_____|_____|

       5 one's blocks

       -------------

       |   |   |

       | 1 | 1 |

       |___|___|

       |   |   |

       | 1 | 1 |

       |___|___|

       |   |   |

       | 1 | 1 |

       |___|___|

       |   |   |

       | 1 | 1 |

       |___|___|

       |   |   |

       | 1 | 1 |

       |___|___|

The volume of the prism is 48 cm³.

We are given that;

The dimensions 3cm by 4cm by 5cm

Now,

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The volume of a rectangular prism=Length X Width X Height

We can choose 3 cm and 4 cm as the base and height of the triangle.

Plugging in the values, we get:

Area of triangle=21​×3×4

Area of triangle=6

So, the area of the base is 6 cm sq,

To find the volume of the prism, we can multiply the area of the base by the height of the prism. This gives us:

Volume=6×8

Volume=48

Therefore, by the volume the answer will be 48 cm³.

To learn more about volume visit;

https://brainly.com/question/1578538

#SPJ1

To evaluate the limit of the function as x approaches 0, where f(x) = sin(x)/x, we can use L'Hôpital's rule.

According to L'Hôpital's rule, if we have an indeterminate form of the type 0/0 or ∞/∞, we can take the derivative of the numerator and denominator until we reach a determinate form.

Let's differentiate the numerator and denominator:

[tex]\begin{align}f(x) &= \frac{\sin(x)}{x} \\f'(x)&=\frac{d}{dx}(\sin(x)) \\ &= \cos(x)\end{align}[/tex]

[tex]\begin{align}f(x) &= \frac{\sin(x)}{x} \\f'(x)&=\frac{d}{dx}(x) \\ &= 1\end{align}[/tex]

Now we can evaluate the limit as x approaches 0 using the derivatives:

[tex]\begin{align}\lim_{x \to 0} f(x) &= \lim_{x \to 0} \frac{\sin(x)}{x} \\ &= \lim_{x \to 0} \frac{\cos(x)}{1} \quad \text{(using L'Hôpital's rule)} \\ &= \cos(0) \\ &= 1 \end{align}[/tex]

Therefore, the limit of f(x) as x approaches 0 is 1.