What is the solution to this system of equations
3x+y=17
X+2y=49

Answer: Length = 9 cm, Width = 6 cm

Step-by-step explanation:

L - 3 + L - 3 + L + L = 30

2L - 6 + 2L = 30

4L - 6 = 30

4L = 36

L = 9

Length = 9 cm

Width = 9-3 = 6 cm

Answer: [tex]87^{\circ}[/tex]

Step-by-step explanation:

Because an angle inscribed in a semicircle is a right angle, [tex]\angle B=90^{\circ}[/tex]

So, as angles in a triangle add to 180 degrees, [tex]\angle A=180^{\circ}-90^{\circ}-3^{\circ}=\boxed{87^{\circ}}[/tex]

Answer:

6000 meters

Step-by-step explanation:

Each kilometer is 1000 meters so 1000 x 6 is 6000

Answer:

2x^2 +15x = 6

Step-by-step explanation:

the form of this equation makes it easier to use the completing the square method

Since we have given that

Measure of revolution = 360°

Now, the measure of [tex]\frac{3}{4}[/tex] of revolution.

So, it becomes,

[tex]\frac{3}{4}[/tex]×360

= 3 × 90

= 270

Hence, the measure of 3/4 of revolution is 270°.

Hope this helped and have a good day

Answer:

uhm where is x1 and y1?

Step-by-step explanation:

Y – y1 = m (x – x1)

[tex]\Large\maltese\underline{\textsf{Our problem:}}[/tex]

Write the equation of the line in P.S. form given the information below.

[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]

We cannot write an equation in Point-Slope Form, without knowing the Point-Slope Equation. [tex]\bf{y-y1=m(x-x1)}[/tex].

Now, all that we need to do is plug in the information given, that is

[tex]\rule{300}{1.7}[/tex]

[tex]\bf{y-(-3)=-\dfrac{1}{5}(x-0)}[/tex]

[tex]\triangledown[/tex]

[tex]\bf y+3=-\dfrac{1}{5}(x-0)}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\bf{y+3=-\dfrac{1}{5}(x-0).\;Hope\;the\;rest\;of\;your\;day\;is\;going\;to\;be\;fun!}[/tex]

[tex]\rule{300}{1.7}[/tex]

~[tex]\boxed{\bf{aesthetic \not101}}[/tex]~

The expression (a²b¹c)² × (6a³b) × (2c³)³ × (4ab¹) × (2c³) is equivalent to the expression 384a⁸b⁴c¹⁴.

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ (a²b¹c)² × (6a³b) × (2c³)³ × (4ab¹) × (2c³)

By simplifying, we have

⇒ a⁴b²c² × 6a³b × 8c⁹ × 4ab¹ × 2c³

⇒ 384a⁸b⁴c¹⁴

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12.5% is the percentage of numbers randomly generated by Taylor's computer that is less than 0.5.

An illustration of a numerical distribution with continuous results is a density curve. A density curve is, in other words, the graph of a continuous distribution. This implies that density curves can represent continuous quantities like time and weight rather than discrete events like rolling a die (which would be discrete). As seen by the bell-shaped "normal distribution," density curves either lie above or on a horizontal line (one of the most common density curves).

The percentage of numbers randomly generated by Taylor's computer are less than 0.5 is given by

P(0≤X≤0.5)

=[tex]\int_{0}^{0.5}\frac{1}{4}dx[/tex]

[tex]=\frac{1}{4}x|^{0.5}_{0}[/tex]

[tex]=\frac{1}{4}(0.5-0)[/tex]

[tex]=0.25(0.5)[/tex]

= 0.125

That is 12.5%

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Answer:

3059＝6940

Step-by-step explanation:

For the two examples given, we can see a consistency:

1 becomes 8 ; 8 becomes 1

5 becomes 4 ; 4 becomes 5

3 becomes 6 ; 6 becomes 3

2 becomes 7

because they are the only two digits left without a correlated pair, we can assume that 0 and 9 have the same relationship

So,

3 -> 6

0 -> 9

5 -> 4

9 -> 0

Meaning that 3059＝6940

hope this helps!! have a lovely day :)

Answer:

It has been a while. I think it is ASA and AAS

The triangles ΔLMN and ΔOPQ are congruent triangles by the ASA and AAS postulates

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔLMN

Let the second triangle be represented as ΔOPQ

Now , the measure of ∠MNL = 90°

The measure of ∠PQO = 90°

And , the measure of side MN = measure of side PQ

And , the measure of ∠MLN = measure of ∠POQ

So , the two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Therefore , the triangles are congruent by AAS and ASA theorems

Hence , the ΔLMN and ΔOPQ are congruent triangles

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Answer:

don't know is is mathematics or any other subject

Answer:

True, True, False

Step-by-step explanation:

The graph of the function is drawn. The open circle at -1 and 4 for -2x + 3.

The complete question is attached below.

The function that is transformed into the number of pieces is known as piecewise function.

The piecewise function is given below.

[tex]f(x)=\left\{\begin{matrix}3x-5 & x\leq -1 \\\\-2x+3 & -1 < x < 4 \\\\2 & x\geq 4 \\\end{matrix}\right.[/tex]

The graph of the function is drawn.

The open circle at -1 and 4 for -2x + 3.

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Answer:

Breyer

Step-by-step explanation:

1gallon=128oz half gallon=64oz

We can make both of their unit to 224oz: 14x16=224oz 64x3.5=224oz

Haagen Dazs:3.67x16=58.72/224oz

Breyer: 4.69x3.5=16.415/224oz

Breyer’s way cheaper

[tex]1) \pm 2 \\\\2) \pm 2i\\\\3) \pm i\sqrt{2}\\\\4) \pm \sqrt{2}\\\\5) \pm 3i\sqrt{2}\\\\6) \pm 3\sqrt{2}\\\\7) 2\\\\8) -2[/tex]

Both statements are true. Therefore (4,2) is a solution and option D is correct.

The given inequalities are [tex]y\leq 2x-2[/tex] and [tex]y\leq x^{2} -3x[/tex].

We need to select the point that is a solution to the system of inequalities (-2,-1), (1,3), (2,1) and (4,2).

Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.

Any point is a solution to this system of inequality if it satisfies both inequalities.

Check the inequalities by each option.

For (-2, -1), [tex]-1\leq 2(-2)-2 \implies -1\leq -6[/tex].

This statement is false because -1 is greater than -6. Therefore (-2,-1) is not a solution and option A is incorrect.

For (1, 3), [tex]3\leq 2(1)-2 \implies 3\leq 0[/tex]

This statement is false because 3 is greater than 0. Therefore (1,3) is not a solution and option B is incorrect.

For (2,1), [tex]1\leq 2(2)-2 \implies 1\leq 2[/tex].

[tex]1\leq 2^{2} -3(2) \implies 1\leq -2[/tex]

This statement is false because 1 is greater than -2. Therefore (2,1) is not a solution and option C is incorrect.

For (4,2), [tex]2\leq 2(4)-2 \implies 2\leq 6[/tex]

[tex]2\leq 4^{2} -3(4) \implies 2\leq 4[/tex]

Both statements are true. Therefore (4,2) is a solution and option D is correct.

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Explanation:

Equation: x + 1 = 9

Solving Steps:

x + 1 = 9                 (subtract both sides by 1)

x + 1 - 1 = 9 - 1        (simplify the following)

x = 8

Then check for solution:

x + 1 = 9

                         [insert x = 8]

8 + 1 = 9

9  =  9

As both sides are equal, the statement is true.

[tex]\large\underline{ \cal{SOLUTION:}}[/tex]

[tex] \large \bold{x + 1 = 9}[/tex]

[tex] \large \bold{x = 9 - 1}[/tex]

[tex] \large \bold{x = \red{8}}[/tex]

[tex] \: [/tex]

[tex]\large\underline{ \cal{CHECKING:}}[/tex]

[tex] \large{ \bold{ \underline{ \red{8} }+ 1 = 9}}[/tex]

[tex] \large \bold{-N} \frak{unx-}[/tex]

Answer:

8

Step-by-step explanation:

You should have this in mind , one raise to the power of any number is one and also any number with the power zero is 1.

{(1)¹⁰⁰ + (−1)¹⁰¹+(2500)⁰} x2³

= 1 - 1 + 1 × 8

= 1 - 1 + 8

= 1 +7

= 8

Answer:

A and B

Step-by-step explanation:

Vertical angles are angles that are opposite of each other on two crossing lines.

They have equal angle measure.

When we look at the image, we can tell that, from the given options:

A. <LRA and <FRA and

B. <TRF and <NRL are vertical angles.

Answer:

in exploratory factor analysis all the measures variables are related to every legend variable but in confirmatory factor analyse CFA research 10 specifically the number of factors required in the data in which measures variable is related with talent variable

Mr. Tan bases his decision on the mode, which indicates that he produces more medium-sized shirts than either large-sized or small-sized T-shirts. The correct answer is option D: Mode.

To determine whether Mr. Tan bases his decision on instinct, mean, median, or mode, we need to consider the given information that Mr. Tan produces more medium-sized shirts than either large-sized or small-sized T-shirts.

Instinct refers to a natural or intuitive decision-making process that is not based on specific calculations or statistical measures. While Mr. Tan's decision-making process could involve some level of instinct, it is unlikely to be the primary basis for his decision.

The mean is the average value calculated by summing up all the values and dividing by the total number of values. However, the mean does not provide any information about the distribution of the sizes or the fact that Mr. Tan produces more medium-sized shirts.

The median is the middle value when the data is arranged in ascending or descending order. However, we do not have any information about specific values or the distribution of sizes, so we cannot determine the median.

The mode refers to the value or values that appear most frequently in a set of data. Since Mr. Tan produces more medium-sized shirts than either large-sized or small-sized T-shirts, it implies that medium-sized shirts are the mode in his production. This suggests that Mr. Tan's decision is based on the mode, as he produces more shirts of this size than any other size.

Therefore, based on the given information, it can be inferred that Mr. Tan bases his decision on the mode, which indicates that he produces more medium-sized shirts than either large-sized or small-sized T-shirts. The correct answer is option D: Mode.

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Statement 1

Twice the sum of the odd numbers would be:

[tex]2(1+3+5+\cdots+99)=2+6+10+\cdots+198[/tex], which is not equal to the sum of all the even numbers from 1 to 100.

Statement 2

The sum of all the odd numbers from 1 to 100 can be thought of as an arithmetic sequence containing 50 terms, with first term 1 and common difference 2. This means the sum of the series would be:

[tex]\frac{50}{2}[2(1)+(50-1)(2)]=2500[/tex]

which is not equal to 1002.

The statement 1 and the statement 2 are incorrect.

The sum of the arithmetic series of first term a₁ and common difference d will be s= n/2{2a₁+(n-1)d

Statement 1:

Given in statement 1, Twice the sum of the odd numbers would be:

2(1+3+5+7.......+99)=2+6+10+14+.....198

which is not equal to the sum of all the even numbers from 1 to 100.

Statement 2:

The sum of all the odd numbers from 1 to 100 can be calculated as follows where this is an arithmetic sequence of 50 terms, where the first term is 1 and the common difference is 2. This means the sum of the arithmetic series would be:

s= n/2{2a₁+(n-1)d}

putting the above formula

a₁=1

n=50

d=2

s= 50/2{2(1)+(50-1)2} = 25{2+98} =2500 ≠1002

which is not equal to 1002.

Therefore statement 1 and 2 are incorrect.

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Answer:

the first,second,forth and fifth.

Step-by-step explanation:

I got it off of edg.

The merchant needs to fill 60 litres of all types of oils .

What is HCF ?

HCF is the highest common factor, it is the factor in common in more than two numbers.

It is given in the question that

A merchant has 120 litres of oil of one kind, 180 litres of another kind, and 240 litres of the third kind.

He wants to sell the oil by filling the three kinds of equal capacity.

To find the greatest capacity of such a tin , we have to find the highest common factor of the individual capacity.

120=2×2×2×3×5

180=2×2×3×3×5

240=2×2×2×2×3×5

HCF=2×2×3×5=60

The greatest capacity = 60 litres

So the merchant needs to fill 60 litres of all types of oils .

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Answer:

cuantos billetes de 100.son en .100000?

Answer:

[tex]\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}[/tex]

Step-by-step explanation:

A complex number is defined as z = a + bi. Since the complex number also represents right triangle whenever forms a vector at (a,b). Hence, a = rcosθ and b = rsinθ where r is radius (sometimes is written as |z|).

Substitute a = rcosθ and b = rsinθ in which the equation be z = rcosθ + irsinθ.

Factor r-term and we finally have z = r(cosθ + isinθ). How fortunately, the polar coordinate is defined as (r, θ) coordinate and therefore we can say that r = 4 and θ = -π/4. Substitute the values in the equation.

[tex]\displaystyle \large{z=4[\cos (-\frac{\pi}{4}) + i\sin (-\frac{\pi}{4})]}[/tex]

Evaluate the values. Keep in mind that both cos(-π/4) is cos(-45°) which is √2/2 and sin(-π/4) is sin(-45°) which is -√2/2 as accorded to unit circle.

[tex]\displaystyle \large{z=4\left(\frac{\sqrt{2}}{2} - \frac{\sqrt{2}}{2}i \right)}\\\\\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}[/tex]

Hence, the complex number that has polar coordinate of (4,-45°) is [tex]\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}[/tex]

Hope this helps

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

I did this already

Answer: -6

Step-by-step explanation:

[tex]\frac{-10-2}{2}=\boxed{-6}[/tex]

The Median of the density is -6.

An illustration of a numerical distribution with continuous results is a density curve. A density curve is, in other words, the graph of a continuous distribution. This implies that density curves can represent continuous quantities like time and weight rather than discrete events like rolling a die (which would be discrete). As seen by the bell-shaped "normal distribution," density curves either lie above or on a horizontal line (one of the most common density curves).

It is clearly visible from the uniform density curve given in the question that the median of the population density is  -6.
Because the area to the left and right of the density curve is the same.

Hence, the Median of density is -6.

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Answer:

The answer is OPTION (D)log(y)=0.326x+0.687

It is a linear model, e.g. a model that assumes a linear relationship between the input variables (x) and the single output variable (y)

The Linear regression equation for the transformed data:

We transform the predictor (x) values only. We transform the response (y) values only. We transform both the predictor (x) values and response (y) values.

(1, 13) 1.114

(2, 19) 1.279

(3, 37) 1.568

(4, 91) 1.959

(5, 253) 2.403

X            Y           Log(y)

1              13           1.114

2             19         1.740

3             37        2.543

4             91        3.381

5            253      4.226

Sum of X = 15

Sum of Y = 8.323

Mean X = 3

Mean Y = 1.6646

Sum of squares (SSX) = 10

Sum of products (SP) = 3.258

Regression Equation = ŷ = bX + a

b = SP/SSX = 3.26/10 = 0.3258

a = MY - bMX = 1.66 - (0.33*3) = 0.6872

ŷ = 0.3258X + 0.6872

The graph is plotted below:

The linear regression equation is  log(y)=0.326x+0.687

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