6. Розв'яжіть систему рівнянь способом додавання
79
Відповідь:
3x + 4y = -1,
-3x + 7y = 23.
Відповідь:

The mean rate the Grand Canyon has been eroded into the Colorado plateau within the past 6 million years is [tex] \frac{4 }{15} \: mm/year [/tex]

The possible part of the question as obtained from a similar question includes;

The time at which the western Grand Canyon began to be evacuated by river erosion = 6 million years ago

The depth of the Grand Canyon = 1.6 km

(a) The average value or the mean is given by the formula;

[tex]Average = \frac{Depth \: of \: erosion }{Time \: taken } [/tex]

The depth of erosion = 1.6 km

Time of erosion = 6 million years

The average rate at which the Grand Canyon has been eroded into the Colorado plateau is therefore;

[tex]Average = \frac{1.6 \: km }{6 \times {10}^{6} \: years} [/tex]

1.6 km = 1,600,000 mm

Therefore;

[tex]Average = \frac{1600000 \: mm }{6 \times {10}^{6} \: years} = \frac{4 }{15} \: mm/year [/tex]

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Answer:

x = -5

Step-by-step explanation:

Im not very sure but here it is. =D

Tell me if it helps you.

The given expression is negative as after the solving fraction the value is:  -17/15

Examine the fractions' denominators. Find the LCM of the denominators and rationalize them to make the denominators of both fractions the same. Add the fraction numerators while keeping the denominator constant. To find the final sum, simplify the fraction.

Given fraction are : -1/3 , -4/5

Applying the fraction addition formula:

by calculating and reasoning the LCM of denominators Add the fraction numerators while keeping the denominator constant. To find the final sum, simplify the fraction.

= (-1/3)+( -4/5)

Applying the fraction addition rule:

= [tex]\frac{-1}{3}[/tex] -  [tex]\frac{-4}{5}[/tex]

Finding the LCM of the denominators:

= [tex]\frac{-5}{15} - \frac{12}{15}[/tex]

= -17/15

The given expression is negative as after the solving fraction the value is:  -17/15

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Answer:

3

Step-by-step explanation:

The range did usage vary​ over from 823.81 to 2461.97 kilowatt-hours.

Kilowatt-hours are units of energy that represent one kilowatt of electricity for one hour (SI symbol: kWh or kWh; typically abbreviated as kWh). It is 3.6 megajoules in terms of standard units (MJ). For electrical energy supplied to customers by electric utilities, kilowatt-hours are a typical billing unit. The abbreviation "kWh," which is derived from the letters kilowatt and hour, stands in for the kilowatt-hour and is a commonly used abbreviation. In addition to being often used in commercial, academic, and scientific publications as well as in the media, it is also frequently employed by electric utility companies to bill consumers for energy delivered to them. One kilowatt (kW) sustained for one hour (multiplied by one) is equivalent to one kilowatt-hour, a composite unit of energy.

$64.34=6434 cents

$192.28=19228 cents

So 6434 cents  correspond to 6434/7.81

=823.81 kilo watt hours

19228 cents=19228/7.81

=2461.97 kilowatt-hours

So Range is 823.81 to 2461.97 kilowatt-hours.

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The measure of two angles are 39 degree and 69 degree. By the Triangle Sum Theorem, the sum of all angles in a triangle is 180 degree, so the final angle is 72 degree. Therefore, the largest angle in the triangle is 72 degree.

According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.

Given:

[tex]The\;sum\;of\;two\;angles\;in\;a\;triangle\;is\;\frac{6}{5}\;of\;a\;right\;angle\;is,\;\frac{6}{5} \times 90^{\circ} = 108^{\circ}[/tex]

[tex]let\;x\;is\;the\;measure\;of\;the\;first\;angle[/tex]

[tex]one\;of\;these\;two\;angles\;is\;30\;larger\;than\;the\;other,\;is\;x+30=108[/tex]

We know that sum of two angles is 108

[tex]x+x+30=108^{\circ}[/tex]

[tex]2x+30=108[/tex]

[tex]2x=108-30[/tex]

[tex]2x=78[/tex]

[tex]x=39^{\circ}[/tex]

Second angle y is,

[tex]y=x+30[/tex]

[tex]y=39+30[/tex]

[tex]y=69^{\circ}[/tex]

By the Triangle Sum Theorem, the sum of all angles in a triangle is 180 degree,

Third angle z is,

[tex]x+y+z=180[/tex]

[tex]39+69+z=180[/tex]

[tex]108+z=180[/tex]

[tex]z=180-108[/tex]

[tex]z=72^{\circ}[/tex]

[tex]By\;comparing\;the\;angles\;39^{\circ},\;69^{\circ}\;and\;72^{\circ}, 72^{\circ}\; is\;greater[/tex]

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Answer:

51 and 12

Step-by-step explanation:

    ➲ Let a be the bigger number

    ➲ Let b be the smaller number

         [tex]a = 3b + 15\\a = 3 \cdot b + 15\\a + b = 63\\\bold{Solve:b}\\3b + 15 + b = 63\\3b + b = 4b\\4b + 15 = 63\\4b = 63 - 15\\4b = 48\\b = 12\\\\\bold{Solve:a}\\a = 3b + 15 \rightarrow a = 3 \cdot 12 + 15 = 51[/tex]

Thus,

b = 12, a = 51

_______________________________

Wrapping up:

➲ Hope this helps.

➲ Address concerns if needed.

➲ Have a great day!

Answer: The answer is 27

Step-by-step explanation: 6 x 6 x 6 = 216. 216 is the numerator. 2 x 2 x 2 = 8. 8 is the denominator.

216 / 8 = 216 '/. 8 = 27

The difference between the depths in February and July is 19 feet.

To find the difference between the depths in February and July, we need to subtract the depth in February from the depth in July.

The depth in February is given as |−6|, which is 6 feet, and the depth in July is given as |−25|, which is 25 feet.

Difference = Depth in July - Depth in February

Difference = 25 feet - 6 feet

Difference = 19 feet

Therefore, the difference between the depths in February and July is 19 feet.In February, the depth of the lake is given as |−6|, which represents the absolute value of -6. The absolute value of a number disregards its sign, so |−6| is equal to 6 feet.

In July, the depth of the lake is given as |−25|, which represents the absolute value of -25. Again, disregarding the sign, |−25| is equal to 25 feet.

To find the difference between the depths in February and July, we subtract the depth in February from the depth in July:

Difference = Depth in July - Depth in February

Difference = 25 feet - 6 feet

Difference = 19 feet

Therefore, the difference between the depths in February and July is 19 feet. This means that the lake experienced a change of 19 feet in depth between those two time points.

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Answer:

Step-by-step explanation:

0.4375

Answer:

6.25%of 112 is 7

Step-by-step explanation:

hope it helps you

The equation using the polynomial function is a x⁴ - 6x³ + 7x² + 6x - 8.

According to the statement

We have to find that the equation using the polynomial function.

So, For this purpose, we know that the

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation

From the given information:

The standard form with zeros 1,-1, 2, and 4:

Polynomial with Zeros 1, - 1, 2 and 4 can be expressed thus :

x = 1 : x - 1

x = - 1 :x + 1

x = 2 :x - 2

x = 4 :x - 4

Hence, we have :

(x - 1)(x + 1)(x - 2)(x - 4) = 0

We can then expand ;

(x - 1)(x + 1) = x² + x - x - 1 = x² - 1

(x² - 1)(x - 2) = x³ - 2x²-x + 2

(x³ - 2x² - x + 2)(x - 4)

x⁴ - 4x³ - 2x³ + 8x² - x² + 4x + 2x - 8

x⁴ - 6x³ + 7x² + 6x - 8.

So, The equation using the polynomial function is a x⁴ - 6x³ + 7x² + 6x - 8.

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Answer:

nope

Step-by-step explanation:

parallel or not just depend on the coefficient of the first degree

3/2 ≠ 2/3 so not

[tex]The two equations given arey = x …. (1)x2 + y2 = 1 …. (2)Substitute equation (1) in (2)x2 + x2 = 12x2 = 1x2 = ½x = √1/2x = ±0.707As the square can be positive or negative we get x1 = 0.707 and x2 = -0.707From equation (1) we know that y = xy1= x1= 0.707y2= x2 = -0.707Therefore, the line y = x intersects the unit circle x2 + y2 = 1 at (0.707, 0.707) and (-0.707, -0.707).[/tex]

A junction is a place where two lines come together or cross. In the illustration above, "point K is the intersection of line segments PQ and AB" is what we would state. The phrase "the line segment PQ crosses AB at position K" is another option.

Keep in mind that two line segments do not always need to intersect. In the illustration above, move point B higher until the intersection of the two line segments disappears. However, keep in mind that lines (as opposed to line segments) continue indefinitely in both directions, thus unless they are absolutely parallel, they will always cross someplace.

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A) The rate for the first 3 years :

15,600 - 7500 = 8100

8100/3 years = 2,700 per year depreciation.

B) The rate between 3 and 8 years:

7500 - 2800 = 4700

4700 / 5 year = 940 per year depreciation.

C) the value of the machine depreciated at a higher rate in the first 3 years. After the first 3 years, the depreciation rate decreased.

The difference between partitioning a directed line segment MN in a 2:7 ratio versus a 7:2ratio because of following

To understand this let us take the line segment MN which is of a length is divided into 9 equal parts. Here, we are dividing it into nine parts because the proportions 2 and 7 make a sum of 9.

When we divide the line segment MN in the ratio 2:7, the first two parts out of the nine from the left side are separated from the rest 7. This means that the first proportion from the left hand side of the line is smaller than the other.

Now, when we divide the line segment MN in the ratio7:2, the first seven parts out of the nine from the left side are separated from the rest two. This means that the first proportion from the left hand side of the line is larger than the other.

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Answer: My phone is worth eight hundred dollars.

Step-by-step explanation:

The correct statements are:

This bill is worth twenty dollars.

My phone is worth eight hundred dollars.

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

Given statements:

This bill is worth twenty dollars.

My phone is worth eight hundred dollars.

The dollar I just found in my drawer is still worth a dollar.

The more features it has, the more it is worth.

From the given statements:

This bill is worth twenty dollars.

Here, the measure of the value is n = $20.

My phone is worth eight hundred dollars.

Here, the measure of the value is m = $800.

Therefore, the correct explanation is given above.

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Answer:

20000 rabbits

Step-by-step explanation:

The credit that is left on the card after Keith uses it for 30 minutes of calls is $48.35.

From the information given, Keith purchased a prepaid phone card for $50.75. Calls cost 8 cents a minute using this card

The equation was given as C=50.75-0.08x

Therefore, the credit that is left on the card after Keith uses it for 30 minutes of calls will be:

C=50.75-0.08x

C = 50.75 - 0.08(30)

C = 50.75 - 2.40

C = $48.35

The credit is $48.35.

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Answer: 11

Step-by-step explanation: 132/12 = 11

You divide the actual car length by the model and you get the scale factor.

The scale factor of the model to the actual car is 1/11 inches.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given:

A small model car is 12 inches long and the actual car is 132 inches long.

To find the scale factor:

When both the original dimensions and the new dimensions are known, the scale factor may be determined.

The following is a basic formula to determine a figure's scale factor:

Scale factor = Dimension of the new model ÷ Dimension of the actual car

Scale factor = 12 / 132

Scale factor = 1/11

Therefore, the scale factor is 1/11 inches.

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The answer is 23

Step-by-step explanation:

7 + 2^4 ÷ 4 + 2(3² × 2 ÷ 6 + √9)

7 + 16 ÷ 4 + 2(9 × 2 ÷ 6 + √9)

7 + 4 + 2(3 + 3)

11 + 2(6)

11 + 12

= 23

Answer: 206

Step-by-step explanation:

a=3/4, b=-8, c=-2, d=3

-b[a+(c-d)^2]=

-(-8)[3/4+(-2-3)^2]=

8[3/4+(-5)^2]=

8[3/4+25]=

8*3/4 + 200=

24/4 + 200=

6+200=206

If Tom choose one marble then the probability that it will blue is 1/3.

According to the given question.

Total number of red marbles in a bag = 5

Total number of blue marbles in a bag = 4

Total number of yellow marbles in a bag = 3

So, the total number of marbles in a bag = 5 + 4 + 3 = 12

As we know that, the probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.

Therefore, if Tom choose one marble then the probability that it will blue

= 4/12

= 1/3

Hence, if Tom choose one marble then the probability that it will blue is 1/3.

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Step-by-step explanation:

A has no solution.

15x - 45 = 15x + 75

-45 = 75

is false for every value of x.

in other words, when you add to the same thing different amounts, the result cannot be identical ever.

B has a solution

-45x - 45 = -75x + 75

-120x = 120

-x = 1

x = -1

C has a solution

45x - 45 = -15x + 75

60x = 120

x = 2

D has a solution

15x - 45 = 75x + 75

-120 = 60x

-2 = x

The phrase "Degrees of Freedom" in the computation of sample standard deviation is, n - 1.

Degrees of freedom:

Degrees of freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample.

Degrees of freedom is calculated by subtracting one from the number of items within the data sample.

Given,

Here we need to find the meaning for the phrase​ degrees of​ freedom as it pertains to the computation of the sample standard​ deviation

It means, There are n-1 degrees of freedom in the computation of s because an unknown parameter is estimated by the sample mean.

For each parameter estimated, 1 degree of freedom is lost.

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The bending strength of beams by bending 10 beams untll they break will be estimated as-

Flexural strength is a material property that refers to the highest stress in a material well before yielding in a bending test. It is also recognized as bending strength or transverse rupture strength.

Some key features regarding the bending strength are-

Flexural strength is defined as the maximum tensile stress value under bending before the beam and rod fails.

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The study of geometry developed from. measuring the Earth.

Geometry has its roots in issues that people face on a daily basis. According to the conventional myth, which was preserved in Herodotus' History (5th century bce), the Egyptians invented surveying to restore property values following the yearly Nile flood.

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects. A geometer is a mathematician who specializes in geometry.

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Using translation concepts, the graphs of f(x) = |x| and g(x) = |x - 2| + 1 are given at the end of the answer.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.

For this problem, the parent and translated functions are given, respectively, by:

The translations are given as follows:

Considering these two translations, the functions are plotted in the graph given at the end of the answer, with:

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Answer:

see explanation

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

2y + 50 + y + 10 = 180

3y + 60 = 180 ( subtract 60 from both sides )

3y = 120 ( divide both sides by 3 )

y = 40

2y = 2 × 40 = 80

y + 10 = 40 + 10 = 50

Answer:

y = 40

2y = 80

y + 10 = 50

Step-by-step explanation:

The sum of the angles of a triangle is 180°

Using values given,

2y + (y + 10) + 50 = 180

2y + y + 10 + 50 = 180

3y + 60 = 180

3y = 180-60 = 120

y = 120/3 = 40

2y = 80

y + 10 = 40 + 10 = 50