Write the quadratic equation in standard form:

Answer:

528 cm²

Step-by-step explanation:

The surface area of this prism comprises:

Area of a triangle = 1/2 × base × height

                             = 1/2 × 16 × 6

                             = 48 cm²

Area of rectangle 1 / 2 = width × length

                                     = 10 × 12

                                     = 120 cm²

Area of rectangle 3 = width × length

                                = 16 × 12

                                = 192 cm²

Total Surface Area = 2 triangles + 2 rectangles + rectangle 3

                                = (2 × 48) + (2 × 120) + 192

                                = 96 + 240 + 192

                                = 528 cm²

Area of two triangles

Area of base rectangle

Area of rest two rectangles

Total area

Answer:

C- divided both sides by 9

Step-by-step explanation:

[tex]9x - 23 = 49[/tex]

[tex] 9x = 72[/tex]

[tex]x = 8[/tex]

The sum of the polynomials x^2 + 9 and -3x^2 - 11x^4 - 4 is - 11x^4  -2x^2 + 5

The polynomials are given as:

x^2 + 9

-3x^2 - 11x^4 - 4

The sum is represented as:

x^2 + 9 -3x^2 - 11x^4 - 4

Collect like terms

- 11x^4  -3x^2 + x^2 + 9 - 4

Evaluate the sum

- 11x^4  -2x^2 + 5

Hence, the sum of the polynomials is - 11x^4  -2x^2 + 5

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Answer: 4 = 80, 1 = 100, 5 = 80, 3 = 80

Step-by-step explanation:

Answer:

80°

Step-by-step explanation:

Vertically Opposing Angles are equal when they are cut by a transversal.

Answer City's breaking down on a camel's back

Step-by-step explanation:

Volume of cylinder = π.r^2.h

h = 5 inch, r = 6 inch, π = 3.14

==> Volume = (3.14)×(6×6)×(5)

==> Volume = 565.2 inch^3

Hence the volume of cylinder is 565.2 cubic inches.

The product of the expression  [tex]\frac{2}{3} *\frac{2}{3}*\frac{2}{3}*\frac{2}{3}[/tex] is  [tex](\frac{2}{3})^{4}[/tex]  or  [tex]\frac{16}{81}[/tex].

Power can be defined as an expression that represents repeated multiplication of the same number whereas exponent is the quantity that represents the power to which the number is raised.

Given expression is : [tex]\frac{2}{3} *\frac{2}{3}*\frac{2}{3}*\frac{2}{3}[/tex]

=[tex]\frac{2^{4}}{3^{4}}[/tex]                    

= [tex](\frac{2}{3})^{4}[/tex]                [[tex]\frac{a^{4}}{b^{4}} = (\frac{a}{b} )^{4}[/tex]]

=[tex]\frac{16}{81}[/tex]

Hence,  [tex]\frac{2}{3} *\frac{2}{3}*\frac{2}{3}*\frac{2}{3}[/tex] = [tex](\frac{2}{3})^{4}[/tex]  

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Answer:

Linear equation : 4n - 1

Step-by-step explanation:

4 x  (1) - 1 = 3
4 x ( 2) - 1 = 7
4 x (3) - 1 = 11
4 x (4 ) - 1 = 15

And so on

Answer:

x27 + y.

Step-by-step explanation:

Binomial means having 2 terms so binomial of degree 27 is x^27 + y type.

For example,

x^27+y+2

If there are 2 degree terms of x, degree of the one having highest degree is taken.

For example,

In x^27+x^10

As highest degree is 27, this is a binomial of degree 27.

Answer:

The number of students who collected exactly 9 bottles.

Step-by-step explanation:

The given histogram shows the number of students who participated in the recyling drive & their old bottle waste collection.

We can find out the total number of students who participated just by looking at the histogram (students = 10), the number of students who colected bottles below 7 or 3 bottles etc.

But since the number of bottles is given in the form of grouped data, one cannot infer the exact number of bottles collected by students.

Hence, out of the given statements, 'The number of students who collected exactly 9 bottles' is the incorrect one.

[tex]\rule{150pt}{2pt}[/tex]

Portfolio items are assessments that entails students  submitting documentation which are made up of  compositions, lab reports, essays, book reports for their teachers and used for their grading.

This can be done via:

Note that Typically, portfolio and sample work assessments are often submitted online using the use of the two means above such as Dropbox.

Note also that the  Dropbox is said to be a feature that gives room for students to upload files from their system to Connexus School for teacher to be able to review and grade them.

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Answer:

I hope I'm not too late. I did this assignment, and got 100%. But I recommend using Quillbot to paraphrase, and Prepostseo to check for plagiarism.

Step-by-step explanation:

PDF ATTACHED

Answer:

The Answer would be associative and commutative

Step-by-step explanation:

don't really have a explanation just remember this from a question of a quiz I took

The probability that in a given year it will not snow on January 1st will be P = 0.915.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Since the total probability is always equal to 1 if the probability of happening of an event is given then the probability of not happening of an event will be determined by subtracting it from one.

The probability of not any snowfall will be calculated as:-

P = 1 - 0.315

P = 0.615

Therefore the probability that in a given year it will not snow on January 1st will be  P = 0.915.

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Explanation:

There are a few ways to measure the period. One way is to measure the horizontal distance from peak to peak.

The left peak occurs at x = 1

The right peak occurs at x = 17

This is a horizontal distance of 17-1 = 16 units.

Therefore, the period is 16. The curve repeats itself every 16 units.

Answer:

[tex]x = \frac{3}{2} [/tex]

Step-by-step explanation:

[tex] {2}^{2x} = {2}^{3 } \\ 2x = 3 \\ x = \frac{3}{2} [/tex]

The title of this graph shown in the image attached below is "Number of Kg. of rice donated for Typhoon Roly's victim."

Generally, the title of a graph is typically placed at the top. Based on the information provided in the graph (see attachment), the title of this graph is "Number of Kg. of rice donated for Typhoon Roly's victim."

In this scenario, the kind of graph shown is referred to as a bar graph.

A family with the most number of kilograms of rice donated is the "Carlage family" because their data has the tallest rectangular bar, which corresponds with 150 kg.

A family with the least number of kilograms of rice donated is the "Dioneda family" because their data has the shortest rectangular bar, which is equal to 75 kg.

The total number of kilograms of rice donated is given by:

Total number = 150 + 100 + 175 + 120 + 100

Total number = 645 kg.

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Answer:

[tex] {x}^{5} + 5 {x}^{4} y + 10 {x}^{3} {y}^{2} + 10 {x}^{2} {y}^{3} + 5x {y}^{4} + {y}^{5} [/tex]

Answer:

P= (3x-1)+(x+2)+(3x^2-11x)+(x^2-3x)

= 4x^2-10x+1

Answer:

The answer is A

Step-by-step explanation:

Because it's square all of the sides will be equal so 18*18=324. Hope this helps.

The statement (B) "The median for town A, 30°, is less than the median for town B, 40 degree" is correct.

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

From the data given:

For town A and Town B

As we can see in the box plot

The median for town A = 30 degree

Median for town B = 40 degree

The median for the town, A < Median for town B

Thus, the statement (B) “The median for town A, 30°, is less than the median for town B, 40 degree” is correct.

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Answer:

3. 261 ft³

Step-by-step explanation:

Volume of the figure = ½(volume of cylinder) + volume of triangular prism)

✔️Volume of cylinder = πr²h

r = 3 ft

h = 10 ft

Volume of cylinder = π*3²*10 = 282.74 ft³

✔️Volume of right triangular prism = ½*b*h*l

b = 3*2 = 6 ft

h = 4 ft

l = 10 ft

Volume of triangular prism = ½*6*4*10 = 120 ft³

✔️Plug in the values into the equation:

Volume of the figure = ½(282.74) + 120 = 261.37 ≈ 261 ft³

Rewrite the fractions as decimals:

7/6 = 1.167

9/8 = 1.125

7/6 is greater then 9/8

the parts in 7/6 are greater than the parts in 9/8

so 7/6 is farther from 1 than 9/8 is

Answer:

Recheck your question

Step-by-step explanation:

I think your question should be what is the probability that the second card is a spade given that the first one was a club

Answer:

the number of children = 156

the number of adults = 183

Step-by-step explanation:

let x be the number of children

    y be the number of adults

We have to solve this system:

[tex]\begin{cases}x+y=339&\\ 1.75x + 2.50y = 730.50&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=339-x&\\ 1.75x + 2.50(339-x) = 730.50&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=339-x&\\ -0.75x + 847.5 = 730.50&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=339-x&\\ -0.75x =-117&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=339-156=183&\\ x =156&\end{cases}[/tex]

Answer:

1)  13,434

2)  During 2038 (by 2039)

Step-by-step explanation:

We can model this problem using an exponential equation.

General form of an exponential equation: [tex]y=ab^x[/tex]

where:

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

As the population increases by 3% each year, each year it will be 103% of the previous year.  Therefore, the growth factor in decimal form is 1.03

Given:

Substituting the given values into the equation:

[tex]y=8888(1.03)^x[/tex]

To find the population in 2025:

2025 - 2011 = 14

Therefore, set x = 14 and solve for y:

[tex]\begin{aligned}\implies y &=8888(1.03)^{14}\\& =13433.89747\\& = 13,434\end{aligned}[/tex]

To find the year in which the population will reach 20000, set y = 20000 and solve for x:

[tex]\implies 8888(1.03)^x=20000[/tex]

[tex]\implies (1.03)^x=\dfrac{20000}{8888}[/tex]

[tex]\implies \ln (1.03)^x=\ln \left(\dfrac{20000}{8888}\right)[/tex]

[tex]\implies x\ln (1.03)=\ln \left(\dfrac{20000}{8888}\right)[/tex]

[tex]\implies x=\dfrac{\ln \left(\frac{20000}{8888}\right)}{\ln (1.03)}[/tex]

[tex]\implies x=27.43785809[/tex]

2011 + 27.437... = 2038.437...

Therefore, the population will reach 20,000 some time during 2038.