HELP THIS IS DUE TOMORROW!
Algebra 2 question!
Picture attached below

Answer:

x=1/2

y=7

Step-by-step explanation:

2x − y + 6 = 0

4x + y − 9 = 0

Solve the second equation for y

y = 9-4x

Substitute this into the first equation

2x - (9-4x) +6 = 0

Distribute the minus sign

2x -9 +4x +6 =0

6x -3 =0

Add 3 to each side

6x =3

Divide by 6

6x/6 = 3/6

x =1/2

Now find y

y = 9-4x

y = 9 -4(1/2)

y = 9 - 2

y =7

Answer:

x=1/2

y=7

Step-by-step explanation:

2x − y + 6 = 0

4x + y − 9 = 0

y = 9-4x

2x - (9-4x) +6 = 0

2x -9 +4x +6 =0

6x -3 =0

6x =3

  6x/6 = 3/6

x =1/2

 y = 9-4x

y = 9 -4(1/2)

y = 9 - 2

y =7

Option A. segment EH and segment E prime H prime both pass through the centre of dilation is true.

Given triangle EFG:

  E(0, 5), F(1, 1), G(-2, 1)

  Center of dilation is H(0, 1)

  The scale factor is k = 3

The rule for this dilation is:

   (x, y) → (k(x - a) + a, k(y - b) + b)

   (x, y) → (3x, 3(y - 1) + 1) = (3x, 3y - 2)

The coordinates of E'F'G' are:

  E → E' = (0, 5) → (0, 13)

  F → F' = (1, 1) → (3, 1)

  G → G' = (-2, 1) → (-6, 1)

  Points H and H overlap as the centre of dilation at (0, 1)

a. Segment EH and segment E prime H prime both pass through the centre of dilation.

  True

b. The slope of segment EF is similar to the slope of segment E prime H prime.

   False

c. Segment EG will overlap Segment E prime G prime.

   False

d. The Segment EH ≅ to segment E prime H prime.

   False

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The correct question is:

Coordinate plane with triangle EFG with E at 0 commas 5, F at 1 comma 1, and G at negative 2 commas 1. Point H at 1 comma 1 is on segment GF, and points E and H are connected with a segment.

Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the dilation?

a. segment EH and segment E prime H prime both pass through the center of dilation.

b. The slope of segment EF is the same as the slope of segment E prime H prime.

c. segment E prime G prime will overlap segment EG.

d. segment EH ≅ segment E prime H prime.

Answer:

The test statistic value 't' = 3.074

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 15

mean of the Population 'μ' =  $39

mean of the sample x⁻ =  $42

standard deviation of the sample 's' =  $3.78

Degrees of freedom ν = n-1 = 15-1 =14

\(t_{\frac{\alpha }{2} } = 1.769\)

Null hypothesis : There is no significance difference between the means

H₀ :  x⁻  =  'μ'

Alternative hypothesis : There is significance difference between the means

H₀ :  x⁻ ≠  'μ'

Test statistic  

\(t = \frac{x^{-} -mean}{\frac{s}{\sqrt{n} } }\)

\(t = \frac{42 -39}{\frac{3.78}{\sqrt{15} } }\)

t = 3.074

The test value of t-statistic  t = 3.074

The calculated value  t = 3.074 > 1.769 at 0.05 level of significance

null hypothesis is rejected

Alternative hypothesis is accepted

Final answer:-

There is significance difference between the means

Answer:

b

Step-by-step explanation:

(-4(-1)-8)(3(2)^2+2=4-8×12+2

-4×14=-56

The function value for f(g(4)) include the following: f(g(4)) = 6.

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

By critically observing the table of values of the function f and g shown in the image attached above, we can reasonably infer and logically deduce the following function values:

g(4) = 1

f(g(4)) = f(1)

f(1) = 6.

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The correct statement regarding the transformation is given as follows:

Dilation bu a scale factor of 0.5 about the origin. Then reflect over the x-axis.

The true statements about the dilation are given as follows:

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

For this problem, the coordinates of the dilated line segment are half the coordinates of the original line segment, hence the scale factor is given as follows:

k = 0.5.

The y-coordinate then has the signal exchange, hence the figure is also reflected over the x-axis.

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Answer:

The provided statement is False.

Step-by-step explanation:

The assumptions to perform a test of​ independence are:

It is not necessary that the parent population or the population from which the sample is collected is normally distributed.

Thus, the provided statement is False.

In this problem, we must translate the quadrilateral ABCD:

• 6 units right,

• 5 units down.

To do this, we look at one vertex of the quadrilateral, for example, vertex C. Then we move the quadrilateral such that the new position of the vertex is 6 units to the right and 5 units down. Doing this, we get the following graph:

The quadrilateral in green is the translated quadrilateral:

Answer:

(a) 26 %

(b) 48%

Explanation:

The total number of students is

(a).

The total number of students that go to the movies three times or more is

Therefore, the percentage is

(b).

The total number of students that prefer action movies is

therefore, the percentage is

Hence, to summerise:

(a) 26 %

(b) 48%

1. The quadratic function for the Area in terms of x: A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is 0.

3. The maximum cross-sectional area is square inches 0.

To determine the depth of the gutter that maximizes its cross-sectional area and allows the greatest amount of water to flow, we need to follow a step-by-step process.

1. Write a quadratic function for the area in terms of x:

The cross-sectional area of the gutter can be represented as a rectangle with a width of 24 inches and a depth of x. Therefore, the area, A(x), is given by A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is:

To find the value of x that maximizes the area, we need to find the vertex of the quadratic function. The vertex of a quadratic function in form f(x) = ax² + bx + c is given by x = -b/(2a). In our case, a = 0 (since there is no x² term), b = 24, and c = 0. Thus, the depth of the gutter that maximizes the area is x = -24/(2 * 0) = 0.

3. The maximum cross-sectional area is square inches:

Substituting the value of x = 0 into the quadratic function A(x) = 24x, we get A(0) = 24 * 0 = 0. Therefore, the maximum cross-sectional area is 0 square inches.

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Answer:

I have no clue thats why is got this app

Answer:

57 units³

Step-by-step explanation:

Volume = length • width • height

Fill in the numbers:

V = 3 4/5 • 2 1/2 • 6

I am making them into improper fractions to make it easier:

V = 19/5 • 5/2 • 6

Multiplying the length and the width:

V = 95/10 • 6

Multiplying the height in:

V = 57

Therefore, we have removed an area of: 0.243 square units in each step.

Area is a measure of the size of a two-dimensional surface or region, typically expressed in square units such as square meters (m²) or square feet (ft²). It is calculated by multiplying the length and width of a flat object or region.

Here,

After the first step, we remove an equilateral triangle with area 1/7 of the original triangle's area. To see this, notice that we divide the original triangle into 7 congruent triangles, and we remove the one in the center, which has the same area as one of the other six.

After the second step, we apply the same procedure to each of the remaining six triangles. Each of these triangles has 1/7 of the area of the original triangle, so we remove an equilateral triangle with area 1/7 × 1/7 = 1/49 of the original triangle's area.

Therefore, after the second step, we have removed an area of 1/7 + 1/49 = 8/49 of the original triangle's area. We can continue this process to find that after the n-th step, we have removed an area of:

1/7 + 1/49 + 1/343 + ... + 1/7ⁿ

This is a geometric series with first term 1/7 and common ratio 1/7, so we can use the formula for the sum of a geometric series to find that the sum of the first n terms is:

(1/7)(1 - (1/7)^n) / (1 - 1/7) = (7ⁿ⁻¹) / (6 × 7ⁿ)

Therefore, after n steps, the remaining area is:

1 - (7ⁿ⁻¹ / (6 × 7ⁿ) = (6 × 7ⁿ - 7ⁿ⁺¹) / (6 × 7ⁿ)

= (1 + 6 × (1/7)ⁿ) / 6

After 50 steps, the remaining area is:

(1 + 6 × (1/7)⁵⁰) / 6 ≈ 0.757 square units

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Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

Answer: 1085

Step-by-step explanation:

The sum of the first five terms of the geometric sequence is -1555

The formula for calculating the sum of geometric sequence is expressed as:

\(S_n=\frac{a(r^n-1)}{r-1}\)

where

r is the common ratio = 6/1 = 6

a is the first term = -1

n = 5 (number of terms)

Substitute

\(S_5=\frac{-1(6^5-1)}{6-1}\\S_5=\frac{-7776+1}{5}\\S_5=-1555\)

Hence the sum of the first five terms of the geometric sequence is -1555

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Answer:

C and E are the answers:)

Step-by-step explanation:

Hope this helps!

Answer- C,D, and E

If you plug in any number for those proplems you will get a different number a each side

Answer:

  central angle

Step-by-step explanation:

You want a description of angle FCE in circle C.

A circle is named by its center. Circle C has its center at point C.

An angle is named with the vertex point in the middle of the name. Angle FCE has its vertex at point C, which we already know is the center of the circle.

A central angle is one that has its vertex at the center of the circle. Its defining rays intersect the circle. Here those intercept points are E and F.

In circle C, angle FCE is a central angle.

__

Additional comment

Angle DAB has its vertex on the circle, and its rays intercept an arc of the circle. Angle DAB is an "inscribed angle."

The arc EF that is labeled 145° is less than 180°, so is a "minor arc." The major arc is usually named including another point on the arc, so we have arc EBF as a "major arc." Its measure is 215°, which is more than 180°.

The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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Person 3's payment exceeded person 2's payment by $20.

To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.

The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.

Step 1: Calculate the total number of parts in the ratio.

1 + 2 + 3 = 6

Step 2: Determine the value of one part.

$120 (total amount) divided by 6 (total number of parts) = $20

Step 3: Calculate the payments for each person based on the ratio.

Person 1: 1 part * $20 = $20

Person 2: 2 parts * $20 = $40

Person 3: 3 parts * $20 = $60

Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:

$60 - $40 = $20

Hence, person 3 paid $20 more than person 2.

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Answer:

The depreciation tax shield for this project in year 4 is $178.24.

Explanation:

To calculate the depreciation tax shield for this project in year 4, we need to first determine the depreciation expense for year 4 using the MACRS three-year class life category and the double-declining balance (DDB) method.

From Table 12.8 on page 415 of the textbook, we can see that the depreciation rate for year 1 is 33.33%, for year 2 it is 44.45%, for year 3 it is 14.81%, and for year 4 it is 7.41%.

Using the DDB method, we can calculate the depreciation expense for each year as follows:

Year 1: Depreciation expense = $14,000 x 33.33% = $4,667

Year 2: Depreciation expense = ($14,000 - $4,667) x 44.45% = $3,554

Year 3: Depreciation expense = ($14,000 - $4,667 - $3,554) x 14.81% = $830

Year 4: Depreciation expense = ($14,000 - $4,667 - $3,554 - $830) x 7.41% = $557

The total depreciation expense over the four years is the sum of the individual year's depreciation expenses, which is:

$4,667 + $3,554 + $830 + $557 = $9,608

Now, we can calculate the depreciation tax shield in year 4. The depreciation tax shield is the amount of the depreciation expense that reduces the firm's taxable income, multiplied by the tax rate. In year 4, the depreciation tax shield is:

Depreciation tax shield = Depreciation expense in year 4 x Tax rate

Depreciation tax shield = $557 x 32% = $178.24

Therefore, the depreciation tax shield for this project in year 4 is $178.24.

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U thought this was a professional answer?!!!!??????

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But the answer is correct though...

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Bing Chilling

It's over...

No more to read

Happy birthday if it's ur birthday...

Have a nice day my king:)

A percentage is a way to describe a part of a whole. The amount of your profit is $29.86. The percent of profit, based on your investment is 58.12%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The cost of buying 72 shares is $(411/8) = $51.375

The cost of selling 72 shares is $(491/4) = $122.75

The total brokerage fees = $(1/8 × 72) = $9

All other charges amounted = $32.52

The profit is,

Profit = $122.75 - $51.375 - $9 - $32.52

          = $29.855 ≈ $29.86

Hence, the amount of your profit is $29.86.

B.) The percent of profit, is based on your investment.

Since the investment is the cost of purchasing the share, therefore, the percent of profit, based on your investment can be written as,

Profit % = $29.86 /$51.375 × 100% = 58.12%

hence, The percent of profit, based on your investment is 58.12%.

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The correct decreasing order of the given numbers is : 3.32 > 2.25 > -2.25 > -3.98

What is Descending Order ?

Descending order is a way to arrange numbers from largest to smallest. When we arrange things in order, from a higher value to a lower value, it is known as the descending order or the decreasing order.

√11 = 3.316 = 3.32 (rounding off to two decimal places)

2 1/4 = 9/4 = 2.25 (by solving mix fraction)

-2.25 (negative number is written in negative x- axis)

-3.97621 = -3.98 (negative number is written in negative x- axis)

arranging the numbers in descending order

3.32 > 2.25 > -2.25 > -3.98

therefore, the highest number is 3.32 and the lowest number is -3.98

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1 meter = 1000mm

Convert the dimensions to mm:

1.5 x 1000 = 1500 mm

1.2 x1000 = 1200 mm

Area = length x width

Area = 1500 x 1200 = 1,800,000 square mm

Answer:

The question is not complete

The best estimate of the circumference of the circle with radius 2 units is 12 units (approximately).

The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle.

Under these circumstances, the circumference of a circle may be defined as the limit of the perimeters of inscribed regular polygons as the number of sides increases without bound. The term circumference is used when measuring physical objects, as well as when considering abstract geometric forms.

Given, radius = 2 units.

Circumference of a circle = 2πr = 2 * 3.14 * 2 = 12.56 units

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Answer:

2/35

Step-by-step explanation:

\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)

Answer:

a; H0: u= 140 Ha: u ≠ 140 two tailed test.

b. Therefore reject H0 as t= 3 ≠ t≤ t ( ∝/2) (n-1) =2.353 or

3 > t ( ∝/2) (n-1) =2.353    

c. If we check from the table the p- value is 0.6 which lies between 0.1 and 0.05  therefore reject H0.

d. Again reject H0 as 140 < 150.163

e. A type II error has not been committed as H0 is rejected.

Step-by-step explanation:

We formulate the null and alternative hypotheses as

a; H0: u= 140 Ha: u ≠ 140 two tailed test.

For a two tailed test the significance level ∝= 0.1 the critical region is given by

t ≤ t ( ∝/2) (n-1) and t > t ( ∝/2) (n-1)

So the critical region will be

t≤ t ( ∝/2) (n-1) =2.353

where

t= x` - u / s/ √n

Sr. No X X²

1 150 22500

2 150 22500

3 180 32400

4 170 28900

∑ 650 106,300

X`= ∑x/n = 650/4= 162.5

s²= 1/n-1 (x-x`)²= 1/n-1 [ ∑x² -(∑x)²/n ]

= 1/3[106,300 -650²/4] = 225

s= 15

Putting the values in the above equation

t= 162.5- 140/ 15/ √4

t= 3

So calculated value of t= 3

b. Therefore reject H0 as t= 3 ≠ t≤ t ( ∝/2) (n-1) =2.353 or

3 > t ( ∝/2) (n-1) =2.353    

c. If we check from the table the p- value is 0.6 which lies between 0.1 and 0.05  therefore reject H0.

d. a 90% confidence interval based on the calculated values will be

x`± 1.645 (s)/ √n

Putting the values

162.5 ±1.645 ( 15/2)

162.5 ±12.3375

174.84 , 150.163

d. Again reject H0 as 140 < 150.163

e. A type II error has not been committed as H0 is rejected.

Answer: x = 56

Step-by-step explanation:

The two angles 'z' and 124 add up to form a straight line. The angle of a straight line is 180 degrees. Therefore, we can say that:

\(z+124=180\)

Subtract 124 on both sides to isolate the angle 'z' to get:

\(z=56\)

Answer:

z=56 degrees

Step-by-step explanation:

in total the line will equal 180 so just do 180-124 and you get 56.

Answer:

Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:

Area = Length x Width

Substituting the given values, we get:

16 1/3 = L x 4 2/3

To solve for L, we can first convert the mixed numbers to improper fractions:

16 1/3 = 49/3

4 2/3 = 14/3

Substituting these values, we get:

49/3 = L x 14/3

To solve for L, we can multiply both sides by the reciprocal of 14/3:

49/3 ÷ 14/3 = L

Simplifying, we get:

L = 49/3 x 3/14

L = 7/1

L = 7

Therefore, the length of the rectangle is 7 inches.

Step-by-step explanation:

Answer:

Mr. Cowin spent 5/12 of an hour playing the review game.

Step-by-step explanation:

Mr. Cowin gave his students 3/4 of an hour to study for the test. After 1/3 of an hour, he played a review game for the remaining time.To find out how much time Mr. Cowin spent playing the review game, we need to subtract the time allocated for studying from the total time.Total time = 3/4 hourTime spent studying = 1/3 hourTime spent playing the review game = Total time - Time spent studyingTime spent playing the review game = 3/4 hour - 1/3 hourTo subtract fractions, we need to have a common denominator. In this case, the common denominator is 12.Time spent playing the review game = (9/12) - (4/12) = 5/12 hourTherefore, Mr. Cowin spent 5/12 of an hour playing the review game.