Consider the equations: y = 2x – 3 and y = 3x - 6.
Solve the system of equations by completing the table to find an ordered pair that satisfies both equations.
A)
(0, -3)
B)
(1, -1)
(2, 2)
D)
(3,3)

Option 234 cm is the correct option.

The measurement equivalent to 2.34 meters is: 234 cm

To convert meters to centimeters,

you multiply the number of meters by

100.

So, 2.34 meters multiplied by 100 is equal to 234 centimeters.

An object is only identified or classified using numbers on a nominal scale, which is a measuring scale. Only non-numeric (quantitative) factors or situations where numbers have no meaning are often addressed by this assessment.

By increasing the number of metres by 100, one may convert measurements from metres to centimetres. One metre equals one hundred centimetres, or 1 m = 100 cm, as is common knowledge.

Cm is used to represent it in writing. It may also be described as the unit of length in the current metric system, the International System of Units (SI). It is equal to one hundredth of a metre.

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Answer:

12cm³

Step-by-step explanation:

1/2x2x6x2=12cm³

Answer:

6x2 well the answer is 24 so like

Step-by-step explanation:

The distance between them is at most the diagonal of the smaller square, which is √2/2 units. The two points selected are within √2/2 units of each other, as required.

To show that at least two of the five points on a unit square are within √2/2 units of each other, we can use the pigeonhole principle.

Divide the square into four smaller squares, each with a side length of 1/2 unit. By the pigeonhole principle, at least two of the five points must lie in the same smaller square.

Consider the two points that lie in the same smaller square.

The distance between them is at most the diagonal of the smaller square, which is √2/2 units.

Therefore, these two points are within √2/2 units of each other, as required.

This argument holds for any five points in a unit square, since we can always divide the square into four smaller squares of side length 1/2 unit.

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The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50

To find the change in profit (ΔP) when the number of units (Δx) increases by 5.

we need to evaluate the marginal profit function and multiply it by Δx.

The marginal profit function is given by dP/dx = 12.1(60 - 3x).

We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.

dP/dx = 12.1(60 - 3(121))

= 12.1(60 - 363)

= 12.1(-303)

= -3666.3

Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.

ΔP = dP/dx×Δx

= -3666.3 × 5

= -18331.5

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Answer:

\({ \tt{y = 7 - 0.3x}} \\ \\ { \tt{ - 0.3x + 7 = y}} \\ \\ { \tt{ - 0.3x = y - 7}} \\ \\ { \tt{x = \frac{7 - y}{0.3} }} \\ \\ { \boxed{ \tt{ {x}^{ - 1} = \frac{10(7 - y)}{3} }}}\)

Answer:

I will answer in English.

This can be translated to:

In a school, 1256 girls and 1593 boys study in three periods. how many students study at that school?

This means that we have a total of:

(1256 + 1593) students = 2849 students, divided in 3 periods.

So the total number of students in that school is 2849

And the number of students per period is:

2849/3 = 949.7

Because we can only have whole numbers here, we can say that in each period there are around 950 students.

The result of the definite integral ∫ₗₜₑ t * e^(-t) dt obtained using integration by parts is: -te^(-t) - e^(-t) + C, where C is the constant of integration.

To evaluate the definite integral ∫ₗₜₑ t * e^(-t) dt using integration by parts, we apply the formula:

∫ u dv = uv - ∫ v du,

where u and v are functions of t. In this case, we choose u = t and dv = e^(-t) dt. Therefore, du = dt and v can be obtained by integrating dv. Integrating dv gives us v = -e^(-t).

Using the integration by parts formula, we have:

∫ₗₜₑ t * e^(-t) dt = -te^(-t) - ∫ₗₜₑ (-e^(-t)) dt.

Simplifying the integral on the right side, we get:

∫ₗₜₑ t * e^(-t) dt = -te^(-t) + e^(-t) + C,

where C is the constant of integration. This is the final result obtained using integration by parts.

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Dilation involves changing the size of a quadrilateral or any shape

The coordinates of the image of the dilation are: \(W^{\prime}=(1 / 4,-3), X^{\prime}=(10,0)$, $Y^{\prime}=(7,-9)$\) and \($Z^{\prime}=(4,-9)$\)

This is further explained below

The vertices of the pre-image are given as:

W=(0,-4)

X=(13,0)

Y=(9,-12)

Z=(5,-12)

The scale factor is given as:

k=3 / 4

The center of dilation is given as:

(a, b)=(1,0)

To calculate the vertices of the image, we make use of the following formula \($\left(x^{\prime} y^{\prime}\right)=(k(x-a)+a, k(y-b)+b)$\)

So, we have:

W'=(3 / 4(0-1)+1,3 / 4(-4-0)+0)

W'=(1 / 4,-3)

X'=(3 / 4(13-1)+1,3 / 4(0-0)+0)

X'=(10,0)

Y'=(3 / 4(9-1)+1,3 / 4(-12-0)+0)

Y'=(7,-9)

Z'=(3 / 4(5-1)+1,3 / 4(-12-0)+0)

Z'=(4,-9)

Hence, the coordinates of the image of the dilation are:

W'=(1 / 4,-3),

X'=(10,0),

Y'=(7,-9)

Z'=(4,-9)

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The equation that describes the proportional relationship between the distance she runs in miles, and her running speed, in miles per hour, when she runs, is:

d = 0.5v.

A proportional relationship is a special case of a linear function, with intercept zero, in which the output variable is given by the multiplication of the input variable and the constant of proportionality, given as follows:

y = kx

The distance as a function of the velocity and of the time in hours, is given as follows:

d = vt.

30 minutes is half an hour, hence the constant of the proportional relationship is given as follows:

v = 0.5.

Then the equation is:

d = 0.5v.

In which:

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Answer: Choice B

Explanation: The rule you use is \(\sqrt{m*n} = \sqrt{m}*\sqrt{n}\)

Answer:

Step-by-step explanation:

A: is not the answer. The answer is √144 which is 12

B: is correct. You can do it this way, by breaking the 9 and 16 apart.

C: I don't know exactly what the logic of 36 is, but it is not the right answer.

D: I can't explain why the choice would be division. It is multiplication of some sort. D is incorrect.

Answer:

15.625 inches^3

Step-by-step explanation:

The volume of a cube is a simple calculation:

V=a^3

"a" is any edge of the cube.

Therefore, it would be (2.5^3), which would be 15.625 inches^3

If each row behind the "row-A" has 6 more seats than row immediately in front of it, then there are (b) 46 seats in "Row-G".

The number of seats in "Row A" is = 10 seats,

We know that, each row behind the "row-A" has 6-more seats than the row immediately in front of it.

So, Number of seats in "Row-B" are =  10 + 6 = 16 seats,

Number-of-seats in "Row-C" are = 16 + 6 = 22 seats,

Number of seats in "Row-D" are = 22 + 6 = 28 seats,

Number of seats in "Row-E" are = 28 + 6 = 34 seats,

Number of seats in "Row-F" are = 34 + 6 = 40 seats,

So, According to the pattern,

Number of seats in "Row-G" will be = 40 + 6 = 46 seats.

Therefore, there are 46 seats in "Row-G", Option (b) is correct.

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ANSWER: Company C

EXPLANATION:

1) Find the least common multiple of 6, 10 and 12. This would be 60 because:

6 x 10 = 60

10 x 6 = 60

12 x 5 = 60

2) Now you can figure out how much money each company gives for every $60 worth of gift wrap by multiplying the amount they gave in the paragraph by the same as what you did in the calculations above.

Company A

$1 x 10 = $10 for every $60 worth of gift wrap sold

Company B

$2 x 6 = $12 for every $60 worth of gift wrap sold

Company C

$3 x 5 = $15 for every $60 worth of gift wrap sold

ARGUMENT

Company C should be selected because they give the most money per dollar ($15 per $60 worth of gift wrap sold).

0.29 km is equal to 290,000 mm when rounded to two significant figures.

Convert kilometers to millimeters, you need to multiply the given value by a conversion factor. In this case, since there are 1,000 meters in a kilometer and 1,000 millimeters in a meter, the conversion factor is 1,000,000 (1,000 x 1,000).

Step 1: Multiply 0.29 km by the conversion factor:

0.29 km x 1,000,000 = 290,000,000 mm

Step 2: Round the result to two significant figures:

Since the original value, 0.29 km, has two significant figures, we round the result to match.

290,000,000 mm becomes 290,000 mm.

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Answer:

10,665.64

Step-by-step explanation:

Exponential Functions:

y=ab^x

A= starting value = 19900

r=rate = 7.5%=0.075

Exponential Decay:

b=1-r=1-0.075=0.925  

Write Exponential Function:

y=19900(0.925)^x

Plug in time for x:

y=19900(0.925)^8

y= 10665.6404317  

Evaluate

y≈10665.64

The area left for children for playing 114464 sq. m

As per the given data inside a park:

The length of the park is 400 m

The breadth of the park is 300 m

The formula for the area of the park = Length × Breadth

= (400 × 300) sq. m

= 120000 sq. m

The width of the walking track inside the park is 4 m

The length of the park without the walking track

= 400 − (4 + 4) m

= 400 − 8 m

= 392 m

The breadth of the park without the walking track

= 300 − (4 + 2) m

= 300 − 8 m

=292 m

Area of the park without the walking track:

= 392 × 292

= 114464 sq. m

Therefore the area left for children for playing other than the walking track is 114464 sq. m.

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After answering the prοvided questiοn, we can cοnclude that Therefοre, equatiοn the cοst οf οne apple pie is $8, and the cοst οf οne lemοn meringue pie is $20.

In mathematics, an equatiοn is a statement that implies the unity οf twο traits. An equatiοn cοnsists οf twο sides separated because οf an analytical sοlutiοn (=). Fοr instance, the debate "2x + 3 = 9" asserts that the remark "2x + 3" equals the valuatiοn "9". The gοal οf sοlving equatiοns is tο determine the amοunt οr values οf the variable in the mοdel) that wοuld allοw the equatiοn tο really be true.

Fοrmulae can be simple οr cοmplex, regular οr nοnlinear, and cοntain οne οr mοre variables. Fοr example, in the equatiοn "x² + 2x - 3 = 0," the variable x is elevated tο the secοnd pοwer. Lines are used extensively in mathematics, including algebra, equatiοns, and geοmetry.

Let x be the cοst οf οne apple pie, and y be the cοst οf οne lemοn meringue pie.

\(6x+8y=208\)

\(6x+ 2y= 88\)

\(-24x - 8y = - 352\)

\(6x + 8y = 208\)

\(-18x =-144\)

\(X = 8\)

\(6(8) +8y =208\)

\(48+8y=208\)

\(8y =160\)

\(Y= 20\)

Therefοre, the cοst οf οne apple pie is $8, and the cοst οf οne lemοn meringue pie is $20.

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Included sides AE and BE  need to be given as congruent to prove that triangle AEC is congruent to triangle BED by the Angle-Side-Angle (ASA) Congruence Theorem.

According to the Angle-Side-Angle (ASA) Congruence Theorem, if two angles and an included side of a triangle is congruent to corresponding two angles and an included side of another triangle, both triangles can be proven to be equal or congruent to each other.

We are know the following from the given image:

<AEC = <BED (vertical angles are congruent)

<EAC = <EBD (congruent angle)

This implies that two angles (<AEC and <EAC) in triangle AEC are congruent to two corresponding angles (<BED and <EBD) in triangle BED.

Therefore, to prove that both triangles are congruent by ASA, we need to be given that the included sides AE and BE are congruent.

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We would expect about 316 visitors to purchase exactly one costume next week, rounded to the nearest whole number

To estimate the number of visitors who will purchase exactly one costume in a given week, we need to assume that the probability of a visitor purchasing exactly one costume remains constant over time.

This means that if we randomly select a visitor from the 400 expected visitors next week, the probability of that visitor purchasing exactly one costume is the same as the probability of a visitor purchasing exactly one costume on the day we have data for.

We can use the proportion of visitors who purchased exactly one costume on the day we have data for as an estimate of the probability of a visitor purchasing exactly one costume next week. Specifically, the proportion of visitors who purchased exactly one costume on that day was 108/137, or about 0.79.

This means that we can estimate the number of visitors who will purchase exactly one costume next week by multiplying the total number of visitors expected (400) by the probability of a visitor purchasing exactly one costume (0.79):

400 x 0.79 = 316

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Answer:

Translate this: Untuk memilih ketua, bendahara, dan sekretaris dari 10 anggota OSIS, kita dapat menggunakan kombinasi.

Jumlah cara menyusun susunan adalah:

C(10, 1) x C(9, 1) x C(8, 1) = 10 x 9 x 8 = 720

Jadi, ada 720 cara yang berbeda untuk menyusun ketua, bendahara, dan sekretaris dari 10 anggota OSIS.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Shen's chocolate bar is 67% cocoa. If the weight of the chocolate bar is 59 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.

Answer:

C

Step-by-step explanation:

I hope it is right, sorry if it's wrong. ☹

The list of single digit primes is {2,3,5,7}. The largest prime is 7, so B = 7 is the largest possible value.

Also note how 707,747 rounds to 708,000 when rounding to 3 significant figures.

Answer:

18 times

Step-by-step explanation:

Half of the possibilities you can roll are correct. so 18 out of 36 times you roll an odd number.

You could also look at it another way. You can expect to roll each number 6 times, so the 3 odd numbers added together is 18 times.

Answer:

1. x=22  2. x= 28

Step-by-step explanation:

1. The total of angles in a triangle add up to 180˚.

93+65= 158

180-158=22

This means that x = 22

2. Angles on a straight line add up to 180.

180-125=55

180-83=97

55+97=152

180-152=28

This means that x = 28

Hope that this helps you.

Answer:

lines are not perpendicular or parallel

Answer:

The probability that exactly 8 arrive on time is,

p(x=8) = 0.553%

Step-by-step explanation:

Since 80% of the flights arrive on time, that is a probability of 0.8 = P

Now, if we randomly select 16 flights, 80% of them will arrive on time,

So, this is the Binomial Distribution,

Which has the formula,

\(p(x) = (n!/x!(n-x)!)(P^x)(Q^{n-x} )\)

here, x is the number of successes, in our case, x = 8 (since 8 arrive on time)

P = probability of success = 0.8

Q = probability of failure = 1- P = 0.2

i.e. 20% don't arrive on time

n is the number of trials, in our case, n = 16

since 16 flights are selected

then, the probability for 8 coming on time is,

\(p(8) = (16!/8!(16-8)!)(0.8^8)(0.2^{16-8} )\)

for the first part,

\((16!/8!(16-8)!)\\16!/8!8!\\= 12870\)

now,

\(0.8^8=0.1678\)

and

\(0.2^8=2.56*10^{-6}\)

multiplying all these together to get the answer,

\((12870)(0.1678)(2.56*10^{-6})\)

which gives,

\(p(x=8)= 5.5285*10^{-3}\)

or,

\(p(x=8) = 0.00553\)

or, p(x=8) = 0.553%

Given the provided coordinates of the points, The shape that is formed is a parallelogram because the slopes of the opposite sides are same.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. Divide the difference in elevation between two points by the distance between them to find the percent slope, then multiply the result by 100. The term "rise" refers to the difference in elevation between two sites. The run is the separation between the points. Percent slope is therefore equal to (rise / run) x 100.

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

slope between (1,1) and (4,4),

m1 = 4-1/4-1 =3/3 =1

slope between (4,-2) and (7,1),

m2= 1+2/7-4 = 3/3 =1

m1=m2

similarly, slope between (1,1) and (4,-2),

m3= -2-1/4-1 = -3/3 =-1

slope between (7,1) and (4,4)

m4= 1-4/7-4 = -3/3 =-1

m3=m4

So, slopes of opposite sides are same that means they are parallel, The shape is parallelogram.

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The solution of the given problem of function comes out to be the quadratic function's value at x = 6 is -34.

The study of mathematics encompasses arithmetic, numerals and their subcategories, along with anatomy, patterns, and both real and imagined geographic places.

A function describes the connections between variables elements, each of which comes with an associated result. A function is composed of an array of parts that, when combined, result in a distinct outcome for each input.

We'll refer to the quadratic function as f. (x). The factors a, b, c, and d should be found so that:

\(f(0) = 4\sf(1) = -1\sf(2) = -4\sf(3) = -1\)

A third-degree polynomial has the following common form:

F(x) = Ax³ Bx², Cx, and D

Using f(0), f(1), f(2), and f(3) as inputs, we obtain:

\(8a + 4b + 2c + d = -4 27a + 9b + 3c + d = -1 d = 4 a + b + c + d = -1\)

We can find solutions for the factors a, b, c, and d using these equations. As a result of solving the set of equations,

a = -1/3

b = 4/3

c = -7/3

d = 4

Consequently, the polynomial function that matches the chart is as follows:

\(f(x) = -1/3 x^3 + 4/3 x^2 - 7/3 x + 4\)

We only need to enter x=6 into the function to determine the value of the function at that point:

\(f(6) = -1/3 (6)^3 + 4/3 (6)^2 - 7/3 (6) + 4\)

\(f(6) = -72 + 48 - 14 + 4\)

\(f(6) = -34\)

Consequently, the quadratic function's value at x=6 is -34.

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