Problem 6: Find the surface area and round to the nearest tenth.

Answers

Answer 1

Therefore, the surface area of the prism is approximately 557.2 square feet when rounded to the nearest tenth.

What is surface area of prism?

The surface area of a prism is the total area of all its faces, including the bases. The formula for finding the surface area of a prism depends on the shape of its base. For a right prism, the surface area can be found by adding the area of the two bases to the lateral area, which is the sum of the areas of all the rectangular faces of the prism.

Here,

To find the surface area of the prism, we need to find the area of each of the six rectangular faces that make up the prism, and then add them together. The two triangular faces are congruent, so we can find the area of one and double it to get the total area of the two.

The area of a triangle is given by:

Area = (1/2) x base x height

For the given triangles, the base is 9 ft and the height is 8 ft (for one triangle) and 10 ft (for the other triangle), so the areas are:

Area1 = (1/2) x 9 ft x 8 ft

= 36 ft²

Area2 = (1/2) x 9 ft x 10 ft

= 45 ft²

The total area of the two triangles is:

TotalArea = 2 x (Area1 + Area2)

= 2 x (36 ft² + 45 ft²)

= 162 ft²

Now, we need to find the area of the four rectangular faces. Each face is a rectangle with a length of 13 ft and a height of 7.6 ft, so the area of each face is:

AreaRect = length x height

= 13 ft x 7.6 ft

= 98.8 ft²

The total area of the four rectangular faces is:

TotalRectArea = 4 x AreaRect

= 4 x 98.8 ft²

= 395.2 ft²

To find the total surface area of the prism, we add the area of the two triangles to the area of the four rectangular faces:

TotalSA = TotalRectArea + TotalArea

= 395.2 ft² + 162 ft²

= 557.2 ft²

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Related Questions

Tisha has $500 in a savings account. The interest rate is 5% per year and is not compounded. How much interest will she earn in 1 year?

Answers

Answer:

$25.00

Step-by-step explanation:

Interest = principle x rate x time

I = 500(.05)(1)

I= 25

Helping in the name of Jesus.

Graph the function.
f(x)=√x-4
Plot four points on the graph of the function: the leftmost point and three additional points. Then click on the graph-a-function button.

Answers

The four points on the graph of f(x) = √x-4  including the left most point are: (4,0), (5,1), (8,2), and (20,4).

Finding four points on the graph of the function

To find points on the graph of f(x) = √x-4, we can choose values of x and find the corresponding values of y.

The leftmost point on the graph is when x is the smallest possible value, which is x = 4 (since we can't take the square root of a negative number). At x = 4, f(x) = √0 = 0, so the leftmost point is (4,0).

To find three additional points, we can choose values of x that are greater than 4 and find the corresponding values of y:

When x = 5: f(5) = √1 = 1, so the point is (5,1)

When x = 8: f(8) = √4 = 2, so the point is (8,2)

When x = 20: f(20) = √16 = 4, so the point is approximately (20.4)

So, four points on the graph of f(x) = √x-4 are: (4,0), (5,1), (8,2), and (20,4).

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Find the area of the region that is bounded by the given curve and lies in the specified sector.
r = e^,
3/4 ≤ ≤ 3/2

Answers

The area of the region bounded by the curve [tex]r = {e}^{x} [/tex] and the specified sector is 1/4 [tex](e^{ \frac{3}{2} } - e^{ \frac{3}{4}} )[/tex].

What is area?

Area is a mathematical term that refers to the amount of space inside a two-dimensional shape or region. It is a measure of the extent or size of a surface or a planar region. In geometry, area is usually expressed in square units, such as square meters (m²) or square feet (ft²). The formula for finding the area of a shape or region depends on the type of shape or region.

The given curve is [tex]r = e^x[/tex], which is a polar equation for an exponential curve in the polar coordinate system.

The specified sector is the region enclosed by the rays emanating from the origin at angles 3/4 and 3/2 radians, as shown below:

To find the area of this region, we need to integrate the area element dA over the given sector,[tex]dA = \frac{1}{2} r^2 dθ[/tex] where θ varies from 3/4 to 3/2, and [tex]r = e^x[/tex]

.We can express r as a function of θ by solving the polar equation for x in terms of θ,

[tex]r = e^x \\ x = ln(r) \\ r = e^{(ln(r))} \\ r = r[/tex]

Therefore,

[tex]r = e^{ln(r)} = e^{(θ)}[/tex]

Substituting this into the area element,

[tex]dA = \frac{1}{2} (e^{(2θ)}) dθ[/tex]

Integrating this from θ = 3/4 to θ = 3/2, we get,

[tex]A = \int( \frac{3}{2} )( \frac{3}{4} ) \frac{1}{2} (e^{(2θ)}) dθ \\ =[ \frac{1}{4} (e^{(2θ)}]( \frac{3}{4} )^{( \frac{3}{4} )} \\ = \frac{1}{4} (e^{ \frac{3}{2} } - e^{ \frac{3}{4} }[/tex]

Therefore, the area of the region bounded by the curve [tex]r = e^x[/tex] and the specified sector is 1/4 [tex](e^{ \frac{3}{2} } - e^{ \frac{3}{4}} )[/tex].

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Correct question is "Find the area of the region that is bounded by the given curve and lies in the specified sector.

r = e^x, 3/4 ≤ x ≤ 3/2."

Need help on this one.


The following recursive function computes the number of comparisons used in the worst case of merge sort.
M (1) = 0
M (2k) = 2M (2k−1) + 2k for all k > 0

Use mathematical induction to prove that M (2k) = k · 2k for all k ∈ N.

Answers

By the principle of mathematical induction, we have shown that

M(2k) = k  2k for all k ∈ N.

The Principle of Mathematical Induction:

The principle of mathematical induction is a proof technique used to prove a statement that holds for all positive integers.

It consists of two steps:

Base case: Show that the statement is true for the smallest possible value of the positive integer, usually n = 1.

Inductive step: Assume that the statement is true for an arbitrary positive integer k, and then use this assumption to show that the statement must also be true for k + 1.

Here we have

The following recursive function computes the number of comparisons used in the worst case of merge sort.

M (1) = 0

M (2k) = 2M (2k−1) + 2k for all k > 0

To prove that M(2k) = k × 2k for all k ∈ N using mathematical induction, we will first show that the base case holds:

Base case: When k = 1,

we have M(2) = 2M(1) + 2¹ = 2(0) + 2 = 2, and k × 2k = 1 × 2¹ = 2.

Therefore, the base case holds.

Inductive hypothesis:

Assume that M(2k) = k × 2k holds for some positive integer k.

Inductive step:

We need to show that M(2k+1) = (k+1) × 2k+1.

Using the recursive definition of M, we have:

M(2k+1) = 2M(2k) + 2(2k+1)

= 2(k × 2k) + 2(2k+1) (using the inductive hypothesis)

= 2k(2k+2) + 2(2k+1)

= 2k(2(k+1)) + 2(2k+1)

= 2(k+1) × 2k + 2(2k+1)

= (k+1) × 2(2k+1)

Therefore, the inductive step holds.

Hence,

By the principle of mathematical induction, we have shown that

M(2k) = k  2k for all k ∈ N.

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How can i fine 4.59 divided by 3 the long way

Answers

Check the picture below.

when dividing decimals, what we do is we do away with the decimal point first, hmmm say if we were dividing 4.59 by 17.354, first we look at 4.59, it has two decimals, so what we do is add two zeros, or "00" to 17.354, and since 17.354 has three decimals, we add three zeros to 4.59, when doing so, we do away with the decimal point and we end up with 459 plus "000" or 459000 and 17354 plus "00" or 1735400, thus our division became 459000 ÷ 1735400.

in this case, we're dividing 4.59 by 3, well, 3 has no decimals, however 4.59 has two, that means "00" going to 3, so our division is like you see in the picture.

Answer:

Step-by-step explanation:

If a man was born in 1898 how old was he in 1945

Answers

Answer: He could be 47 or 46

Step-by-step explanation: I need the exact date of the time he was born (just the month and the day) to tell you how old he really is, but with the information given, he could be 47 or 46.

He would be 47 years                       [tex]1945\\-\\1898\\=\\47\\[/tex]

                                 

Please help with this math question!

Answers

Answer:

[tex]2000 {(1 + \frac{.07}{12}) }^{5 \times 12} = 2835.25[/tex]

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The brain volumes (cm³) of 20 brains have a mean of 1128.4 cm³ and a standard deviation of 125.9 cm³. Use the
given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or
significantly high. For such data, would a brain volume of 1360.2 cm³ be significantly high?
Significantly low values are cm³ or lower.

Answers

Step-by-step explanation:

The range rule of thumb states that for data with a roughly bell-shaped distribution, about 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.

Given that the standard deviation is 125.9 cm³, one standard deviation above the mean would be 1128.4 + 125.9 = 1254.3 cm³, and one standard deviation below the mean would be 1128.4 - 125.9 = 1002.5 cm³.

Thus, significantly low values would be 1002.5 cm³ or lower, and significantly high values would be 1254.3 cm³ or higher.

Since 1360.2 cm³ is higher than 1254.3 cm³, it would fall outside the range of one standard deviation above the mean and can be considered significantly high based on the range rule of thumb.

Justin says that x^-2and -x² are equivalent. Is he
correct? Justify your answer.

Answers

[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ x^{-2}\implies \cfrac{1}{x^2}\hspace{5em} {\Large \begin{array}{llll} \ne \end{array}}\hspace{5em}-x^2[/tex]

What is the third quartile of this data set? 14, 18, 20, 21, 25, 32, 42, 46, 48​

Answers

The upper half of data is the set above the median. The median for the upper half of data 32,42,46,48 32 , 42 , 46 , 48 is the upper or third quartile. In this case, the third quartile is 44 .

How could expanded land acreage and pricing be viewed as some to be a bad thing
for the recovering Great Plains?

Answers

Increased land prices and acreage on the Great Plains could be seen as negative owing to  potential ecological impact, as a disruption for Traditional communities and unsustainable resource use.

Why expanded land acreage and pricing in Great plains is considered negative?Ecological impact: Increased land acreage and price may cause habitat loss, biodiversity loss, soil erosion, and water pollution, all of which might be detrimental to the area's natural ecosystem.Disruption of traditional farming and ranching communities: Increasing land prices and greater parcel sizes may make it harder for small-scale farmers and ranchers to compete, which might result in the consolidation of land ownership and the eradication of traditional farming and ranching communities.Unsustainable resource use: Increasing land area might result in more water being used for irrigation, thereby worsening the Great Plains' water shortage problems.Loss of grasslands: The Great Plains are renowned for their distinctive grassland ecosystems, which are essential for biodiversity and carbon sequestration. More land being used for construction or agriculture might lead to the extinction of grasslands, which would have detrimental ecological effects.Degradation of the soil: Intensive agricultural techniques, such as monoculture and extensive chemical usage, may result in the loss of fertility and accelerated erosion of the soil. Long-term, this can have a negative effect on the sustainability and production of agricultural areas.Increased use of chemical inputs: Increasing land area may result in higher usage of chemical pesticides and fertilisers, which might impact regional ecosystems and contribute to environmental degradation.Danger of overproduction: Increased land acreage and pricing may lead to overproduction of agricultural products, which might lead to unstable prices, unstable farmer livelihoods, and potential market saturation.Potential for land speculation: Increasing land prices may encourage speculative investment, which might result in land being bought and retained for financial gain rather than for productive use. This could push up land prices even more and restrict access to land for local farmers and ranchers.Risks to wildlife and biodiversity: Include habitat fragmentation, the loss of wildlife corridors, and the displacement of native species, all of which might have an effect on the biodiversity and animal populations of the area.

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The salaries of six bank employees are $37,000, $38,500, $35,000, $37,000, $45,000, $40,000, and $75,000.

Which statement is true?

Question 1 options:

Both the median and mode are appropriate measures of center.


The mean, median, and mode are all appropriate measures of center.


Both the mean and median are appropriate measures of center.


The median is the only appropriate measure of center.

Answers

The correct answer is: Both the mean and median are appropriate measures of center.

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves the use of mathematical and computational tools to summarize and analyze large sets of data, with the goal of extracting meaningful insights and identifying patterns or trends.

Here,

The mean is the sum of all salaries divided by the number of salaries. In this case, the sum is:

37,000 + 38,500 + 35,000 + 37,000 + 45,000 + 40,000 + 75,000 = 307,500

And there are seven salaries. Therefore, the mean is:

307,500 / 7 = 43,928.57

The median is the middle value when the salaries are arranged in order from lowest to highest. First, we need to arrange the salaries in order:

35,000, 37,000, 37,000, 38,500, 40,000, 45,000, 75,000

The median is the middle value, which is 40,000.

The mode is the value that appears most frequently in the set of salaries. In this case, both 37,000 and 40,000 appear twice, so there is no unique mode.

Since the salaries are not symmetrically distributed, the mean is not a perfect measure of central tendency. However, it can still provide useful information about the "average" salary. On the other hand, the median is resistant to extreme values and may be a better measure of central tendency for this dataset. Therefore, both the mean and median are appropriate measures of center for this dataset.

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Can someone help me with as many as possible (even one is ok) please

Answers

Answer:

7.30

Step-by-step explanation:

number 13 is simple subtraction.

What is the value of x?

Answers

Answer:

55°

Step-by-step explanation:

the total sum of a triangle is 180.

75+50= 125

180-125= 55

& since x is an acute angle we know x is less than 90.

A bag contains 3 red marbles, 6 blue marbles and 4 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be blue?
please help

Answers

Answer:

0.077

Step-by-step explanation:

find the missing terms 82,81,78,-,66,-
5,6,8,-,15,-​

Answers

To find the missing terms in the sequences: 82, 81, 78, -, 66, - and 5, 6, 8, -, 15, - we need to identify the pattern in each sequence.

For the first sequence (82, 81, 78, -, 66, -), we can see that each term is decreasing by 1, then decreasing by 13. So the missing terms are 63 and 60.

Therefore, the full sequence is: 82, 81, 78, 63, 66, 60.

For the second sequence (5, 6, 8, -, 15, -), we can see that each term is increasing by 1, then increasing by 7. So the missing terms are 11 and 22.

Therefore, the full sequence is: 5, 6, 8, 11, 15, 22.

Use the drop-down menus to complete the statements.



When electrons are lost, a
ion is formed.

When electrons are gained, a
ion is formed.

Answers

When electrons are lost, a cation is formed.

When electrons are gained, an anion is formed.

An atom can lose or gain electrons to form ions. An ion is an atom or molecule that has an unequal number of protons and electrons, which gives it a net electrical charge.

When an atom loses one or more electrons, it becomes positively charged because the number of protons in the nucleus is greater than the number of electrons. This type of ion is called a cation. Cations are formed when metals lose electrons because they have relatively low electronegativity, which means they don't hold onto their valence electrons as tightly.

On the other hand, when an atom gains one or more electrons, it becomes negatively charged because the number of electrons is greater than the number of protons. This type of ion is called an anion. Anions are formed when nonmetals gain electrons because they have relatively high electronegativity, which means they attract electrons more strongly.

Therefore, When electrons are lost, a cation is formed and When electrons are gained, an anion is formed.

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Answer:

When electrons are lost, a

✔ positive

 ion is formed.

When electrons are gained, a

✔ negative

 ion is formed.

Step-by-step explanation:

please help me in this question is math,solve just d, e&f​

Answers

Step-by-step explanation:

a) factorize A

A = (2x-1)²+2(3-6x)(4x-7)-4x²+1

expand the terms

(2x-1)²-52x²+108x-41

factorize

(2x-1)²-(26x-41)(2x-1)

factor out the common factor 2x-1

-(2x-1)(24x-40)

A = -8(2x-1)(3x-5)

b) show that B = (3x-11)(2x-1)

6x²-25x+11

6x²-3x-22x+11

3x(2x-1)-11(2x-1)

(2x-1)(3x-11)

c) Expand and reduce A

(2x-1)²+2(3-6x)(4x-7)-4x²+1

-48x²+108x-40

d) Calculate A for x=0 and x=-1

when x=0 -48(0)²+108(0)-40

A=0

x=-1 -48(-1)²+108(-1)-40

A=-196

e) Reduce 2A-3B

A=-48x²+108x-40 B=6x²-25x+11

2(-48x²+108x-40)-3(6x²-25x+11)

-96x²+216x-80-18x²+75x-33

-144x²+291x-113

f) Factorize 2A-B

A=-48x²+108x-40 B=6x²-25x+11

2(-48x²+108x-40)-(6x²-25x+11)

-96x²+216x-80-6x²+25x-11

-102x²+241x-91

x=(241 + sqrt(20953))/204

x=(241 - sqrt(20953))/204

Please Mark Me Brainliest!

what number is 1/2% of 96? round the answer to the nearest hundredth if necessary.

Answers

1/2% is read as 1.2 out of one hundred

so divide 100/1.2 which the answer would be 83.33333333 or 83.3

Which expression is equivalent to 2.5+3a - 20-9.5?

A: 5.5a - 29.5
B: 3a - 32
C: 3a - 27
D: 5.5a - 10.5

Answers

Answer: C - 3a - 27

Step-by-step explanation:

We start with 2.5 + 3a - 20 - 9.5, and first solve for variables:

3a

Then we solve for constants:

2.5 - 20 - 9.5 = 2.5 - 29.5 = -27

Add the two together:

3a - 27

bridge is raised so that it forms a 15° angle with the ground. It is then raised some more so that it forms a 43° angle with the ground. How many degrees was the draw bridge raised from its first position to its second position?

Answers

Answer: If you minus it the answer is -0.488692191 rad

I think

Step-by-step explanation:

How do you find the second of an angle?

The whole part of the measure of an angle in decimal degrees is the whole number of degrees. Multiplying the decimal part by 60 gives the number of minutes. If this number of minutes has a decimal part, then multiplying this decimal part by 60 gives the number of seconds.

These are my opinion

Can someone help me to answer these questions pleases


Listen to Kerry Washington perform Sojourner Truth's speech Ain't I a Woman. Then go to ST's version at the Sojourner Truth Project's website. Compare the differences between Frances Gage's (the one Washington read) and Marius Robinson's earlier version (the one ST read). You can read them here.

Answer the following questions:

1. List 3 differences between the Robinson version and the Gage version of the speech.

2. Why do you think it is important to hear both versions of the speech?

3. How do you think the differences changed the way people (in the north and the south) understood the context of her speech? How about now?

4. How does hearing the differences in dialect change the way you think about the speech?


answer them in at least 10 sentences.

When women’s rights activists spoke out, who were they advocating for, white women or African-American women?

What are the distinct arguments that Truth makes in her speech?

What is Truth saying about women’s rights?

Who is going to give them these rights?

How does Truth’s speech reflect intersectionality?

What passages in the speech reflect this?

Answers

1. In the Robinson version, Truth asks "And ain't I a woman?" four times, while in the Gage version she only asks it three times. 2. It is important to hear both versions of the speech because they highlight the ways in which historical documents can be altered and manipulated over time. 3. The differences between the two versions of the speech likely changed the way people in the north and south understood the context of her speech in significant ways. 4. Hearing the differences in dialect changes the way we think about the speech by highlighting the unique voice and perspective of the speaker.

What is speech?

Speech is the act of expressing thoughts, ideas, or emotions through spoken words. It is a form of communication that allows individuals to convey information, share opinions, ask questions, and express feelings to others.

According to question:

1. Three differences between the Robinson version and the Gage version of the speech are:

In the Robinson version, Truth says "I have as much muscle as any man" while in the Gage version she says "I have ploughed and planted, and gathered into barns, and no man could head me!".

In the Robinson version, Truth asks "And ain't I a woman?" four times, while in the Gage version she only asks it three times.

In the Robinson version, Truth refers to herself as a "colored woman" while in the Gage version she uses the term "African American".

2. It is important to hear both versions of the speech because they highlight the ways in which historical documents can be altered and manipulated over time. The differences between the two versions show how editors and publishers can change the meaning and impact of a text by making small modifications to it. Additionally, hearing both versions allows us to appreciate the nuances of language and dialect, and how different speakers can bring their own interpretations and emphasis to a text.

3. The differences between the two versions of the speech likely changed the way people in the north and south understood the context of her speech in significant ways. For example, the reference to "colored women" in the Robinson version would have been seen as more confrontational and controversial in certain regions. Today, the differences may help us appreciate the diversity and complexity of language, and how it reflects the cultural and historical contexts in which it is spoken.

4. Hearing the differences in dialect changes the way we think about the speech by highlighting the unique voice and perspective of the speaker. The dialect used in each version reflects the cultural and historical context of the time, and the different audiences that the speeches were intended for. By hearing the dialect of each version, we can better appreciate the ways in which language shapes our understanding of history and identity.

As for the next set of questions:

When women's rights activists spoke out, they were advocating for both white women and African-American women, although the experiences and struggles of African-American women were often ignored or marginalized within the movement.

Truth makes several distinct arguments in her speech, including that women deserve the same rights and respect as men, that the stereotype of women as weak and dependent is unjust, and that the experiences of African-American women are often overlooked in discussions of women's rights.

Truth is saying that women deserve equal rights and respect as men, and that the societal norms that limit women's opportunities and autonomy are unjust and unfounded.

Truth is arguing that women need to fight for their own rights, rather than waiting for men to give them these rights. She also emphasizes the importance of solidarity and mutual support among women.

Truth's speech reflects intersectionality by recognizing the ways in which race and gender intersect to create unique experiences of oppression and marginalization. She argues that the struggles of African-American women cannot be separated from the struggles of all women, and that a truly equitable society must address the needs and concerns of all marginalized groups. One passage that reflects this is when she says, "I have borne thirteen children, and seen most all sold off to slavery, and when I cried out with my mother's grief, none but Jesus heard me! And ain't I a woman?" This passage highlights the intersection of race, gender, and motherhood in Truth's experience.

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Suppose a supermarket ordered 13 cases of organic vegetable soup with a list price of $18.90 per case and 4 cases of organic baked beans with a list price of $33.50 per case. The wholesaler offered the supermarket a 39% trade discount. (Round your answers to the nearest cent.)
What is the total net amount (in $) the supermarket owes the wholesaler for the order?
$

Answers

So, the total net amount the supermarket owes the wholesaler for the order is $231.61.

To find the total net amount that the supermarket owes the wholesaler for the order, we need to first calculate the cost of each item after the trade discount is applied, and then add up the costs of all the items.

For the 13 cases of organic vegetable soup, the list price per case is $18.90, and the trade discount is 39%. So, the discount amount per case is:

Discount amount = 39% x $18.90 = $7.37

The cost per case after the discount is:

Cost per case = $18.90 - $7.37 = $11.53

So, the total cost of 13 cases of organic vegetable soup is:

Total cost of vegetable soup = 13 x $11.53 = $149.89

Similarly, for the 4 cases of organic baked beans, the list price per case is $33.50, and the trade discount is 39%. So, the discount amount per case is:

Discount amount = 39% x $33.50 = $13.07

The cost per case after the discount is:

Cost per case = $33.50 - $13.07 = $20.43

So the total cost of 4 cases of organic baked beans is:

Total cost of baked beans = 4 x $20.43 = $81.72

Therefore, the total net amount the supermarket owes the wholesaler for the order is:

Total net amount = Total cost of vegetable soup + Total cost of baked beans

= $149.89 + $81.72

= $231.61

So, the total net amount the supermarket owes the wholesaler for the order is $231.61.

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PLEASE HELP I NEED THIS SO I DONT GET KICKED :,)

Determine the Direction and Degree of Rotation used to create the image

90° Counterclockwise
270° Clockwise
90° clockwise
180° Clockwise

Answers

Answer:

270 counter clockwise I think I'm not sure though

Plsss help!!! I can’t figure this out

Answers

The volume of the solid figure is  1795.5 metres squared. Therefore, the answer is d.

How to find the volume of a figure?

The volume of the figure is the area of the base multiplied by the height of the figure.

Therefore, let's find the volume of the figure as follows:

volume of the figure = area of the base × height of the figure

area of the base =1 / 2 (a + b)h

where

a and b are the basesh = height

Therefore,

area of the base =1 / 2 (a + b)h

area of the base = 1 / 2 (11 + 16)9.5

area of the base = 128.25

Therefore,

volume of the figure = area × height

volume of the figure = 128.25 × 14

volume of the figure = 1795.5 metres squared

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I need help with this please

Answers

Answer:

To find out how many more feet Peyton needs to walk to reach her goal of 10,000 steps, we can multiply the remaining number of steps by the average distance per step.

Total steps Peyton needs to reach her goal = 10,000 - 7,338 = 2,662 steps

Average distance per step = 2.5 feet

Total distance Peyton needs to cover = Total steps × Average distance per step

= 2,662 × 2.5

= 6,655 feet

Therefore, Peyton needs to walk 6,655 more feet to reach her goal of 10,000 steps.

Answer:

peyton needs to walk a total of 6655feets more

A car was valued at $38,000 in the year 1994. The value depreciated to $14,000 by the year 2004.
A) What was the annual rate of change between 1994 and 2004?
r =
Round the rate of decrease to 4 decimal places.
B) What is the correct answer to part A written in percentage form?
r= %.
C) Assume that the car value continues to drop by the same percentage. What will the value be in the year 2007 ?
value = $
Round to the nearest 50 dollars.

Answers

A) To find the annual rate of change, we can use the formula:

r = (V2/V1)^(1/n) - 1

where V1 is the initial value, V2 is the final value, n is the number of years, and r is the annual rate of change (expressed as a decimal).

Plugging in the given values, we get:

r = (14000/38000)^(1/10) - 1

r ≈ -0.1102

So the annual rate of change between 1994 and 2004 is approximately -0.1102.

B) To convert the rate to a percentage, we can multiply by 100:

r ≈ -11.02%

So the correct answer to part A written in percentage form is approximately -11.02%.

C) To find the value of the car in 2007, we can use the formula:

V = V0*(1+r)^n

where V0 is the initial value, r is the annual rate of change (expressed as a decimal), n is the number of years, and V is the final value.

We want to find the value in 2007, which is 3 years after 2004. So we plug in:

V0 = 14000 (since that was the value in 2004)
r = -0.1102 (the annual rate of change)
n = 3 (the number of years since 2004)

V = 14000*(1-0.1102)^3

V ≈ $9,679.65

Rounding to the nearest 50 dollars, we get:

value ≈ $9,700

Therefore, the value of the car in the year 2007 is approximately $9,700.

Expand the expressions and simplify.
5(x + 4) + 3(x + 2) =
O
O
8x + 4
6x + 18
8x+ 26
7x - 18

Answers

8x+26 is the answer to the above mentioned question

Answer:

8x + 26

Step-by-step explanation:

Your aim is to get rid of the brackets...so do this

5(x + 4) + 3(x + 2)

5x + 20 + 3x + 6

5x + 3x + 20 + 6

8x + 26

hope this helps!

A bolynomial function has zeros √2, 4, and 6i. What is the minimum degree of the
polynomial function?
A. 6
B. 5
C. 4
D. 3

Answers

Answer:

C) 4

Step-by-step explanation:

Please help

A space station is being built from 24 cubic modules. The space station can be any shape but the modules must be placed together so that entire faces match up with each other. Choose a tool to create two different plans for the space station. Explain why you chose the tool you selected.

Answers

One tool that can be used to create plans for the space station is a 3D modeling software. There are many different 3D modeling software options available, such as SketchUp, Blender, and Fusion 360.

A 3D modeling software can be useful for creating plans for the space station because it allows for the creation of detailed 3D models that can be easily manipulated and viewed from different angles. This can make it easier to visualize different configurations of the modules and to experiment with different shapes and sizes for the space station.

In addition, many 3D modeling software options have built-in tools for creating and manipulating shapes, which can be useful for designing the space station. For example, software such as SketchUp offers a wide range of tools for creating different shapes, including extruding, curving, and stretching. This can make it easier to create complex shapes for the space station that incorporate the 24 modules.

Another tool that could be used is graph paper and pencil. While this method may be less precise and less visually appealing than 3D modeling software, it is a low-tech option that can be useful for quickly sketching out different ideas and configurations. Graph paper can be useful for ensuring that the modules are lined up correctly and are the s
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