One solution, no solutions, or infinitely many solutions? Write another system of equations with the same number of solutions that uses the first equation only.

12x+51y=156
-8x-34y=-104

The learning records is the meaningful way in which all of the data of  learning experiences is record in the form of statements.

According to the statement

we have to tell that the which record is used when A data store system that collects and stores all of the learning experiences in the form of statements that can be organized and presented in a meaningful way.

So, for find this data store way to record the data

We know that the

The Learning Record provides an architecture and process for documenting student progress and achievement, based on interviews, observations over time, samples of students' naturally-occurring work, and well-supported interpretations of learning across five dimensions.

we see that the these given conditions in statement are approved by the data store way named the learning records.

So, The learning records is the meaningful way in which all of the data of  learning experiences is record in the form of statements.

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Answer: (-4,2)

Step-by-step explanation:

To find the midpoint of AB, we have to find the mean of the x coordinates for the x coordinate of the midpoint and the mean of the y coordinates for the y coordinate of the midpoint

So the midpoint is ((-9+1)/2,(-3+7)/2) = (-4,2)

To plot the line AB, just find the points A and B on the graph and draw a straight line from A to B

Answer:

Since April 1, 1986 was a Tuesday, March,

1986 had? Mondays.

og

the answer A

Answer: [tex]3x^6[/tex]

Step-by-step explanation:

Each side of an equilateral triangle has the same side length, so the length of each side of the triangle is [tex]\frac{9x^{6}}{3}=\boxed{3x^{6}}[/tex].

The length and width of the computer monitor is 23.36 inches

and 13.14 inches.

According to the given statement

we have given that  

The length of diagonal of rectangular monitor = 27 inches

The length to width ratio is 16:9

So , Let the Length of monitor = 16x

and The Width of monitor  = 9x

And we have to find the length and width of the computer monitor.

So, For this purpose,

From Pythagoras theorem

(Diagonal)² = Length² + width²

Put the values in it and then

27² = (16x)² + (9x)²

729 = 256x² + 81x²

After solving we get

337x² = 729

So, x² = 2.16

∴  x =  = 1.46 inches

So, The length = 16x = 23.36 inches

And The width = 9x = 13.14 inches.

Hence, The length and width of the computer monitor is 23.36 inches

and 13.14 inches.

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Answer:

Step-by-step explanation:

AC=DC. (Given in figure)

AB=BD. (Given in figure

BC=BC. (Common)

that means triangle BAC is congruent to triangle BDC by SSS criterion.

He is  2√19 miles far way from starting point.

Suppose Billy starts at point A, turns at point B, and ends at point D, as shown below.

If Billy turns 60◦ northward and walks six miles, then we can draw a 30 − 60 − 90 triangle whose hypotenuse is 6 miles

It follows that Billy traveled 6/2 = 3 miles eastward during these 6 miles, and that he traveled 3√3 miles northward during these 6 miles. In total, Billy traveled 4 + 3 = 7 miles  eastward and 3√ 3 miles northward.

By the Pythagorean Theorem, the distance from his starting point is q:

(7)2 + (3√3)2

=√49 + 27

= √76

= 2√19 .

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The equation that shows that 9 is a factor of 72 is given as 9 * 8 = 72

An equation is an expression that shows the relationship between two or more numbers and variables.

The equation that shows that 9 is a factor of 72 is given as 9 * 8 = 72

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Answer:

[tex](-7[/tex]±[tex]\sqrt{17}) /2[/tex]

Step-by-step explanation:

First, convert this into a quadratic, [tex]x^{2}+7x+8=0[/tex]. We can use the quadratic formula for this, [tex](-7[/tex]±[tex]\sqrt{7^{2}-4(1)(8)})[/tex][tex]/2(1)[/tex]. This becomes [tex](-7[/tex]±[tex]\sqrt{49-32})/2[/tex]. This is [tex](-7[/tex]±[tex]\sqrt{17}) /2[/tex]. This is your answer

The value for x and y are 140° and 70° respectively.

There are two ways to solve polygon question. Formula for the sum of interior angle and sum of the  exterior angle of regular polygon.

Sum of the interior = (n - 2)180

Sum of the exterior = 360/n

Where n = number of sides of a polygon.

The regular polygon in which x is one of its angle is called decagon

Sum of the interior = (n - 2)180

n = 10

Substitute n into the formula

Sum of the interior angle = (10 - 2)180

Sum of the interior angle  = (8)180

Sum of the interior angle = 1440

Each angle = 1400/10

x = 140°

For y, the three angles are similar.

sum of angle in a triangle = 180

Since the each triangle is an isoceles triangle, angle at each base will be y

40 + y + y = 180

2y = 180 - 40

2y = 140

y = 70°

Therefore, the value for x and y are 140° and 70° respectively.

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Answer:

46

Step-by-step explanation:

For the value of y, substitute x = 28 into the equation.

2x + 3y = 194

2(28) + 3(y) = 194

56 + 3y = 194

3y = 194 - 56

3y = 138

dividing bothsides by 3

y = 46

Answer:

y = 46

Step-by-step explanation:

We want to find the value of y

2x+3y = 194

We are given the value of x

x=28

Substitute the value of x into the first equation

2(28)+3y = 194

56 + 3y = 194

Subtract 56 from each side

56+3y -56 = 194 -56

3y = 138

Divide each side by 3

3y/3 = 138/3

y =46

If the mean is 382 and standard deviation is 97 then according to empirical rule 50% students scored  between 285 and 479 on the exam.

Given mean of 382 and standard deviation of 97.

We have to calculate the percentage of students scored between 285 and 479 on the exam.

Percentage is a number or ratio that is expressed in terms of 100.

We have to use z statistic in this question.

z=X-μ/σ

where μ is mean and

σ is standard deviation

from 285 to 382

z=285-383/97

=-1

p value =0.1587.

From 382 to 479

z=479-382/97

=97/97

=1

p value =0.3413

Total probability from 285  to 382 is 0.3413+0.1587=0.5

Percentage=5/10*100

=50%

Hence the percentage of students scored between 285 and 479 is 50%.

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Answer:

Step-by-step explanation:

Rectangles have 2 pairs of equal sides that means:

2(4x) and 2(3x+2)

8x and 6x+4

8x+ (6x + 4) = 14x + 4

Using the normal distribution, the value that separates the highest 70% of the scores in a normal distribution from the lowest 30% is:

z = -0.52.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The value that separates the highest 70% of the scores in a normal distribution from the lowest 30% is is the 30th percentile, which is Z with a p-value of -0.3, hence z = -0.52.

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Answer:

5040 ways

Step-by-step explanation:

here we need to find the number of permutations of the 7 balls :

= 7!

= 7×6×5×4×3×2×1

= 5 040

Present value of the loan amount is $[tex]27[/tex] with a maturity value of $[tex]15000[/tex] for [tex]9[/tex] months at [tex]6[/tex]%

How to find the present value of loan amount ?

We know that

Maturity value of loan amount [tex]= 15000[/tex]

Time period is [tex]=9[/tex] months

Rate (r)[tex]=6[/tex] %

Present value of loan amount=?

So we can use the formula of maturity level

[tex]MV=PV*(1+r*t)[/tex]

Substitute the values

[tex]15000=PV *(1+6*9)\\15000=PV(55)\\\frac{15000}{55} =PV\\27.27=PV[/tex]

So present value of the loan amount is $[tex]27[/tex] in round figure.

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Answer: A. 1/9, 3, 27

Step-by-step explanation:

3^x for x = -2

= 3^-2 = 1/9

3^x for 1

= 3^1 = 3

3^x for 3

= 3^3 = 27

hope this helped

To know the angle measure between the vertices, you divide 360° by 3. Option C

Formula for interior angles of polygon is given as;

= ( n -2 ) × 180 degrees

Hexagon has 6 sides, n = 6

= ( 6 - 2 ) × 180° = 4 × 180° = 720°

Each interior angle = 720/ 6 = 120

To get 120 from 360

= [tex]\frac{360}{120}[/tex]

= [tex]3[/tex]

Thus, to know the angle measure between the vertices, you divide 360° by 3. Option C

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Answer:

6

Step-by-step explanation:

In a regular polygon, all of the angles are congruent.

Answer: B

Step-by-step explanation:

When y=0, x=7, so the x-intercept is at x=7.

Answer:

b.     The x‐intercept is x = 7, and the graph approaches a vertical asymptote at x = 6.  

Step-by-step explanation:

I took the test and got it right

The wavelength for radio waves with frequency 3 × 10⁹ Hz is 0.1 m.

Wavelength of the radio wave= 3×10⁸/3×10⁹ = 0.1 m

Thus, we can conclude that the wavelength of the radio wave with frequency of 3 × 10⁹ Hz is 0.1 m.

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The best point estimate for the proportion of all the residents opposed to the photo cop use is 60%  which is the fourth option.

Given that in a survey of 456 residents , 279 were opposed to the use of the photo cop for issuing traffic tickets.

We have to find the best point estimate for the proportion of all residents opposed to the photo cop use.

Total residents=456

Residents who opposed to the use of the photo cop for issuing traffic tickets=279

Proportion=number of residents who opposed/ total residents

=279/456

=0.611

=61.1%

The nearest option is fourth which is 60%.

Hence the best point estimate for the proportion for the proportion of all the residents opposed to the photo cop use is 60% which is option 4.

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Question is incomplete as it should include options which are :

1) 500

2)50%

3)300

4)60%

5)40%

Step-by-step explanation:

To prove that 3 + 2√5 is an irrational number, we will use the contradiction method.

Let us assume that 3 + 2√5 is a rational number with p and q as co-prime integers and q ≠ 0

⇒ 3 + 2√5 = p/ q

⇒ 2√5 = p/ q - 3

⇒ √5 = (p - 3q ) / 2q

⇒ (p - 3q ) / 2 q is a rational number.

However, √5 is an irrational number

This leads to a contradiction that 3 + 2√5 is a rational number.

Answer:

462

Step-by-step explanation:

C(11, 5)
= 11!/(11-5! * 5!)

= 462

Answer:

Step-by-step explanation:

This function will have a minimum point only if f(x) has one.

Examples:  

y = x + 5:  straight line with no minimum

y = x^2 + 5:  parabola that opens up and has vertex at (0, 5); thus, the minimum is (0, 5)

What f(x) did you have in mind?  Please share it.

Answer: 4

Step-by-step explanation:

yeh

Answer:

x=12

Step-by-step explanation:

x^9=12^9

power of 9 cancel eachother at both sides of equation.

so

x=12

As a rule of thumb, when each component is selected independently from the same population, the sampling distribution of the sample percentage may be estimated by a regular probability distribution.

Therefore the main solution is- from the identical group, each component is individually chosen.

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Answer:

AC = 23

Step-by-step explanation:

Discussion

AB and AC start from the same point -- A.

That means that when speaking of tangents to a circle that AB = AC

Answer

AB = 23 in          Given

AC = 23              2 tangents to a circle starting from the same point are =

Answer:

  a.  1 dag

Step-by-step explanation:

The list of SI prefixes is attached. Each has an abbreviation that can be used with the abbreviation for the SI unit of interest.

A factor of 10 is signified by the prefix deka-, abbreviated "da". Then 10 grams is 1 dekagram, or 1 dag.

The value of the given expression; f(x) = 4 - 2x, for f(3r -1) as required in the task content is; f(3r-1) = 6 - 6r.

Since it follows from the task content that the given function is defined by the expression;

f(x) = 4 - 2x.

To evaluate the function f(x) = 4 - 2x, for f(3r -1); we must substitute 3r -1 for x in the equation as follows;

f(3r -1) = 4 - 2(3r-1)

f(3r-1) = 6 - 6r.

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