pls help me. show the steps too
\(3x {}^{2} - 27\)=0
​

Answer:

A) y = 0.76x + 3.72

Step-by-step explanation:

Data points: (2, 5) and (11,12)

Slope:

m=(y2-y1)/(x2-x1)

m=(12-5)/(11-2)

m=(7)/9

m= 0.78

Slope-intercept:

y - y1 = m(x - x1)

y - 5 = 0.78(x - 2)

y - 5 = 0.78x - 1.56

y = 0.78x + 3.44

Choice A is the closest to this solution

The given equation, y + 3x = 8, solved for y is y = 8 - 3x.

The value of y when x is -2 is 14

The value of y when x is 0 is 8

The value of y when x is 3 is -1

From the question, we are to solve the given equation for y.

The given equation is

y + 3x = 8

Solving the equation for y

y + 3x = 8

Subtract 3x from both sides of the equation

y + 3x - 3x = 8 - 3x

y = 8 - 3x

Now, we are to determine the value of y for each value of x

When x = -2

y = 8 - 3x

y = 8 - 3(-2)

y = 8 + 6

y = 14

When x = 0

y = 8 - 3x

y = 8 - 3(0)

y = 8 - 0

y = 8

When x = 3

y = 8 - 3x

y = 8 - 3(3)

y = 8 - 9

y = -1

Hence, equation solved for y is y = 8 -3x

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Answer:

Step-by-step explanation:

Make q clear

Answer:

2 > 8

5 > 20

1.5 > 6

2 2/3 > 10.667

4 7/8 > 19.5

Step-by-step explanation:

(Use cross multiplication or algebra to solve)

Answer:

CIAE

Step-by-step explanation:

Answer:

I think it is the last answer, \(\sqrt{2}\) and 1.23459876567

Answer:

Last one

Step-by-step explanation:

For something to be 'irrational', you shouldn't be able to put it in a fraction. You can know if something is irrational because when you look at it in decimal form and the numbers after the decimal point are random and do not follow a pattern (ie 276276276...).

Hence that is why pi is irrational as well because the numbers after the dec. point are: 3.1415626.... there is no visible pattern

Answer:

m = 1

Step-by-step explanation:

A number is divisible by 3 if the sum of the digits is a multiple of 3

the given number is 2m234 and we are asked to find the smallest m

Adding up known digits gives 2 + 2 + 3 + 4 = 11

The next multiple of 3 is 12

So 11 + m = 12

m = 1

The other possibilities are
m = 4, m = 7

Based on these calculations, Plan B would be the better investment plan for a 10,000 investment.

To determine which investment plan would be better for a 10,000 investment, we need to compare the returns from each plan.

Plan A offers a flat interest amount each year equal to 4.5% of the initial investment.

Let's calculate the returns for Plan A over a specific period, say 5 years.

Year 1:

Interest = 4.5% of 10,000 = 0.045 * 10,000 = 450

Year 2:

Interest = 4.5% of 10,000 = 0.045 * 10,000 = 450

Year 3:

Interest = 4.5% of 10,000 = 0.045 * 10,000 = 450

Year 4:

Interest = 4.5% of 10,000 = 0.045 * 10,000 = 450

Year 5:

Interest = 4.5% of 10,000 = 0.045 * 10,000 = 450

Total returns from Plan A over 5 years

= 450 + 450 + 450 + 450 + 450

= 2,250

Now, let's compare this with another investment plan, Plan B.

We will assume Plan B offers a different interest structure or rate.

For example, let's say Plan B offers a compound interest rate of 5% per year.

Using the compound interest formula A = P(1 + r/n)^(nt),

where A is the final amount,

P is the principal,

r is the interest rate,

n is the number of times interest is compounded per year, and t is the number of years.

For Plan B, let's assume the interest is compounded annually (n = 1).

Year 1:

A = 10,000(1 + 0.05)^(1*1)

  = 10,000(1.05)

  = 10,500

Year 2:

A = 10,500(1 + 0.05)^(1*2)

   = 10,500(1.05)^2

   = 11,025

Year 3:

A = 11,025(1 + 0.05)^(1*3)

   = 11,025(1.05)^3

   = 11,576.25

Year 4:

A = 11,576.25(1 + 0.05)^(1*4)

   = 11,576.25(1.05)^4

   = 12,155.06

Year 5:

A = 12,155.06(1 + 0.05)^(1*5)

  = 12,155.06(1.05)^5

  = 12,762.82

Total returns from Plan B over 5 years

= 12,762.82 - 10,000

= 2,762.82

Comparing the returns from Plan A and Plan B over 5 years, we see that Plan B offers a higher return of 2,762.82 compared to Plan A's return of 2,250.

Therefore, based on these calculations, Plan B would be the better investment plan for a 10,000 investment.

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Answer: x^2 + 1

Step-by-step explanation:

-x²+2-1+ 6x² - 4x²

We combine the x^2 and the numbers and we have the equation

x^2 + 1

Answer:

B. 7−10; 11−14; 15−18; 19−22

Step-by-step explanation:

The screen aspect ratio of a high-definition television is 16:9, which means the width is 16 units and the height is 9 units. We are given that the width of the HDTV is 41 inches.

To find the screen size, we can use the Pythagorean theorem, which states that the square of the hypotenuse (the diagonal distance across the screen) is equal to the sum of the squares of the other two sides (width and height).

Let's assume the height is h inches. Using the Pythagorean theorem, we have:

(41^2) = (16^2) + (9^2) + (h^2)

Simplifying this equation, we get:

1681 = 256 + 81 + h^2

1681 = 337 + h^2

h^2 = 1681 - 337

h^2 = 1344

Taking the square root of both sides, we find:

h ≈ 36.65 inches

Therefore, the screen size of the HDTV is approximately 36.65 inches.

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Answer:

Step-by-step explanation: add Y to the X and then add -f to X Y and you will get the answers

we have: \((3,23)^{2} \neq (1,9)^{2} +(2,7)^{2}\)

so the triangle isn't a right triangle

ok done. Thank to me :>

The coordinates of the point on the unit circle corresponding to a central angle of 21 degrees are (0.93, 0.36), which is answer choice c.

The point on the unit circle corresponding to a central angle of 21 degrees can be found using the trigonometric functions sine and cosine.

In this case, the x-coordinate is equal to the cosine of the angle and the y-coordinate is equal to the sine of the angle.

Converting degrees to radians, we have:

x = cos(21) = 0.93

y = sin(21) = 0.36

A unit circle in mathematics is a circle with a radius of one, or one unit. The unit circle is frequently the circle with radius 1 that is located at the origin (0, 0) in the Cartesian coordinate system on the Euclidean plane, notably in trigonometry.

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The trigonometric equation presented is cosecx - sinx = cos x cot(3x-50°). X has a value of 25.

To solve this equation, we will use the trigonometric identity cot(x) = cos(x) / sin(x) and simplify both sides of the equation.

cosec x - sin x = cos x * cot(3x - 50)

1/(sin x) - sin x = cos x * cot(3x - 50)

(1 - sin² x)/(sin x) = cos x * cot(3x - 50)

(cos² x)/(sin x * cos x) = cot(3x - 50)

(cos x)/(sin x) = cot(3x - 50)

cot x = cot(3x - 50)

x = (3x - 50)

2x = 50

x = 25

Hence the required value of x = 25

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The answer to this problem would be 374

Step-by-step explanation:

Im asian

The minimum number of comparisons needed to sort small array of 6 elements is 8 and the lower bound of 6 comparisons (median) is 5.

To find the minimum number of comparisons, follow these steps:

To find the lower bound of 6 comparisons (median), follow these steps:

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An increase in U.S. car production would be the most immediate effect of competition in car manufacturing.

As there will be an increase in the competition in car manufacturing the manufacturer will try to produce more and more cars of different types to attract customers. More market competition will provide consumers with more options to buy whatever products they desire, which will lead to a drop in the number of devoted customers for a given product line. Competitive markets have several advantages. Businesses that must constantly compete with one another for customers and market share are motivated to do so by offering products and services that are better than those of their rivals. In this market, businesses must constantly compete with one another by offering products and services that are more innovative, superior, and affordable.

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Answer:

3.6% per annum

Step-by-step explanation:

The formula for accrued amount on a loan(value of loan) is given by the formula if compounded yearly is

\(A = P\left(1 + r)^t\)

where

P = original loan amount

r = interest rate in decimal

t = number of years

We are given that the original loan amount
P = £5500

After 1 year the accrued amount
\(A = 5500(1 + r)^1\)

and we know that after 1 year, the value of the loan is £5698

Therefore

5698 = 5500(1 + r)

1+ r = 5698/5500 = 1.036

r= 1.036 - 1 = 0.036

In percentage terms 0.036 = 0.036 x 100 = 3.6%

Any positive integer n that meets the three requirements is a multiple of 9 and 11, as well as an odd multiple of 5. Lcm(5,9,11)=5911=495 is the smallest such n.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the corresponding positive numbers are the negative numbers.

Here,

The n subsequent integers from -(n-1)/2 to (n+1)/2 have a sum of 0 if n is an odd number. Sum n is produced by translating the interval to the right by 1. Each positive sum is therefore a positive multiple of n.

If n is even, the sum of the next n even integers from -n/2-1 to +n/2 is n/2. Sum n+n/2 is produced by moving the interval to the right by 1. As a result, every positive sum is an odd multiple of n/2.

Therefore, any positive integer n that meets the three requirements is a multiple of 9 and 11, as well as an odd multiple of 5. Lcm(5,9,11)=5911=495 is the smallest such n.

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The area of the whole mosaic is  150.06 square feet.

What is an array?

In mathematics, an array is an ordered arrangement or display of objects or numbers in rows and columns. Arrays are commonly used to represent multiplication and division in arithmetic, and they can also be used to organize data in statistics and other fields.

The mosaic has a 7 × 7 array of square tiles, so it has a total of 7 x 7 = 49 tiles.

Each tile is 1 3/4 feet long, so its area is (1 3/4) x (1 3/4) = 49/16 square feet.

Therefore, the area of the whole mosaic is:

49 tiles x (49/16 square feet per tile) = 2401/16 square feet

Simplifying this fraction gives:

Area of mosaic = 150 1/16 square feet

So the area of the whole mosaic is approximately 150.06 square feet.

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The samples which will have a mean between 75 and 85 is 97%.

To determine the percentage of samples with a mean between 75 and 85, we need to calculate the z-scores corresponding to these values and then find the area under the normal distribution curve between these z-scores.

The z-score formula is given by: z = (x - μ) / σ, where x is the value, μ is the population mean, and σ is the population standard deviation.

For the mean of 75: z1 = (75 - 80) / (15 / √20) = -2.108

For the mean of 85: z2 = (85 - 80) / (15 / √20) = 2.108

We can then look up the corresponding areas under the normal curve using a standard normal distribution table or a calculator. The area between z1 and z2 represents the percentage of samples with a mean between 75 and 85.

Using the table or calculator, the area to the left of z1 is approximately 0.0172, and the area to the left of z2 is approximately 0.9828. Therefore, the area between z1 and z2 is approximately 0.9828 - 0.0172 = 0.9656.

To convert this to a percentage, we multiply by 100: 0.9656 * 100= 96.56%.

Rounding to the nearest whole number, approximately 97% of the samples will have a mean between 75 and 85.

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Answer:

1. 30 2. 40%

Step-by-step explanation:

(10÷100) × 300

= 30

2. (160÷400)×100

=40%

The inequality which represents the provided sentence is -3.2n +1.5 less-than-or-equal-to 8.6.

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

The sentence given in the problem is,

The sum of negative 3.2 and 1.5 times a number is a maximum of 8.6.

Here, in the above sentence, the unknown number discussed. Suppose this unknown number is n.

Now the sum the number negative 3.2 and 1.5 times of this unknown number is maximum of 8.6. Here word maximum means that the sum may be less that or equal to the number 8.6 but can not be more than it.

Therefore, in the inequality equation, the less than-equal to sign is used.  Hence, the equation will become as,

\((-3.2)+1.5\times n\leq8.6\\-3.2+1.5 n\leq8.6\)

Thus, the inequality which represents the provided sentence is -3.2n +1.5 less-than-or-equal-to 8.6.

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Answer: 1

Yessssssssssssssss

Answer:

6 x 4 = 24, 24 x 2 = 48

7 x 6 = 42

7 x 4 = 28, 28 x 2 = 56

6 x 4 x 1/2(basically just dividing by 2) = 12, 12 x 2(two triangles) = 24

5 x 5 = 25, 25 x 2 = 50

Add given areas:

48 + 42 + 56 + 24 + 50 = 220 ft^2 is your answer.

The linear function will be represented as h(x) = -3x - 10.5. The correct option is A.

The terms "linear function" in mathematics refer to two different but related ideas: A linear function is a function with a graph that is a straight line in calculus and related fields.

The given data in the table is:-

X   -7.5     -3.5      -1         2

Y    12         0       -7.5    -16.5

The linear function can be written as:-

y = mx + c

m = ( 0 - 12 ) / ( -3.5 + 7.5 )

m = -12 / 4

m = -3

The y-intercept will be:-

y = mx + c

0 = ( -3 x -3.5 ) +c

c = -10.5

The linear function is:-

h(x) = -3x - 10.5

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The cross sectional area of the cargo trailer floor, which is a composite figure consisting of a square and an isosceles triangle, indicates that the volume of the inside of the trailer is about 3,952 ft³.

A composite figure is a figure comprising of two or more regular figures.

The possible cross section of the trailer, obtained from a similar question on the internet, includes a composite figure, which includes a rectangle and an isosceles triangle.

Please find attached the cross section of the Cargo Trailer Floor created with MS Word.

The dimensions of the rectangle are; Width = 6 ft, length = 10 ft

The dimensions of the triangle are; Base length 6 ft, leg length = 4 ft

Height of the triangular cross section = √(4² - (6/2)²) = √(7)

The cross sectional area of the trailer, A = 6 × 10 + (1/2) × 6 × √(7)

A = 60 + 3·√7

Volume of the trailer, V = Cross sectional area × Height

V = (60 + 3·√7) × 6.5 = 3900 + 19.5·√7

Volume of the trailer = (3,900 + 19.5·√(7)) ft³ ≈ 3952 ft³

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The surface area and the lateral area of the prism is 108m² and 96 m² respectively.

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of a prism is expressed as;

SA = 2B +ph

where B is the base area and p is the perimeter of the base and h is the height of the prism.

The base area = 1/2 bh

= 1/2 × 4 × 3

= 2 × 3

= 6m²

The perimeter of the base = 3 + 4 + 5

= 12 m

SA = 2 × 6 + 12 × 8

= 12 +96

= 108m²

The lateral area = p × h

= 12 × 8

= 96 m²

Therefore the surface area and lateral area is 108m² and 96 m² respectively.

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Answer:

16/15

Step-by-step explanation:

I hope this is helpfull