x+21.4=47.36
x=25.96

Answer:

y=2x+1, assuming my change in the reported data was correct.

Step-by-step explanation:

The data for x had one more entry than the values for y.  I removed the second "0" so that the x and y points line up, as shown in the attached image.  The data indicate a straight line, with a slope of 2 (y increases by 2 for every x increase of 1).  The y-intercept is 1, as per the first data point (0,1).

This relationship is a proportional relationship and the direct proportion equation is y = 1/3x

The table of values is given as:

x - Number of Days y - Cost

6 2

9 3

24 8

3 1

Divide y by x in each of the above values

So, we have

2/6 = 1/3

3/9 = 1/3

8/24 = 1/3

1/3 = 1/3

See that the results are the same i.e. 1/3

Hence, this relationship is a proportional relationship

In (a), we have:

2/6 = 1/3

3/9 = 1/3

8/24 = 1/3

1/3 = 1/3

The results represent the constant of proportionality

Hence, the constant of proportionality is 1/3

We have

k = 1/3

A direct proportion equation is represented as

y = kx

So, we have

y = 1/3x

Hence, the direct proportion equation is y = 1/3x

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The area of quadrilateral BCDE = 20.4 sq. units

Let AD = x and AE = y.

Since ΔABC and ΔAED are similar right angled triangles, we have that

AC/AD = AB/AE

AC = AD + CD

= x + 3.

Also, AB = AE + EB

= y + 4

So, AC/AD = AB/AE

(x + 3)/x = (y + 4)/y

Cross-multiplying, we have

y(x + 3) = x(y + 4)

Expanding the brackets, we have

xy + 3y = xy + 4x

3y = 4x

y = 4x/3

In ΔAED, AD² + AE² = DE².

So, x² + y² = 6²

Substituting y = 4x/3 into the equation, we have

x² + y² = 6²

x² + (4x/3)² = 6²

x² + 16x²/9 = 36

(9x² + 16x²)/9 = 36

25x²/9 = 36

Multiplying both sides by 9/25, we have

x² = 36 × 9/25

Taking square root of both sides, we have

x = √(36 × 9/25)

x = 6 × 3/5

x = 18/5

x = 3.6

Since y = 4x/3,

Substituting x into the equation, we have

y = 4 × 3.6/3

y = 4.8

To find the area of quadrilateral BCDE, we subtract the area of ΔAED from area of ΔABC.

So, area of quadrilateral BCDE = area of ΔABC - area of ΔAED

area of ΔABC = 1/2 AC × AB

= 1/2 (x + 3)(y + 4)

= 1/2(3.6 + 3)(4.8 + 4)

= 1/2 × (6.6)(8.8)

= 1/2 × 58.08

= 29.04  square units

area of ΔAED = 1/2 AD × AE

= 1/2xy

= 1/2 × 3.6 × 4.8

= 1/2 × 17.28

= 8.64 square units

area of quadrilateral BCDE = area of ΔABC - area of ΔAED

area of quadrilateral BCDE = 29.04 sq units - 8.64 sq units

area of quadrilateral BCDE = 20.4 sq. units

So, the area of quadrilateral BCDE = 20.4 sq. units

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Answer: y = 2x - 1/2

Step-by-step explanation:

1. graph the first line

2. shift it down enough to get the correct y intercept

3. keep the slope the same

4. done

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.

supporting answer:

what is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

body of the answer:

let us understand long multiplication by taking an example

     6.Add the two partial products

final answer: by following above steps we can perform long multiplication

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Long multiplication is a method of multiplying two difficult-to-multiply numbers.

What is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

Let us understand long multiplication by taking an example

1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.

2. Multiply the top number's one digit by the bottom number's one digit.

3. Put a 0 below the one's digit,

4. Multiply the top number's ones digit by the bottom number's tens digit.

5. Multiply the top number's tens digit by the bottom number's tens digit.

6. Add the two partial products

By following the above steps we can perform long multiplication

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Answer:

  ∠Z = 52°

  b = 59°

Step-by-step explanation:

You want to know the measures of an angle and a variable in the given quadrilaterals with angles marked.

Segment WY divides the figure into two congruent triangles, so you know angles X and Z have the same measure. The sum of angles in a quadrilateral is 360°, so ...

  ∠W +∠X +∠Y +∠Z = 360°

  134° +∠Z +122° +∠Z = 360° . . . . . . use ∠Z for ∠X

  2·∠Z = 104° . . . . . . simplify, subtract 256°

  ∠Z = 52°

Opposite angles of a rhombus are congruent, so ...

  2b = b +59°

  b = 59° . . . . . . . . . subtract b

Answer:

look at any notes, to bits at a time hope this helped!

Step-by-step , explanation:

=======================================================

Explanation:

"six subtracted from x" translates to "x-6"

So the word problem updates to "x-6 is less than -15"

Then we replace the "is less than" with "<" without quotes.

---------

Extra info: If you want to solve for x, then we add 6 to both sides like so

x-6 < -15

x-6+6 < -15+6

x+0 < -9

x < -9

So any number smaller than -9 will work in place of x.

Answer:

A. 35+65= 100 B. 150=93log

Step-by-step explanation:

Use graphing calculator

The ball is in the air for 4 seconds.

The maximum height of the ball is 64 feet.

The horizontal distance the ball travels in the air is 443.2 feet.

We have,

a)

The golf ball will land on the ground when y(t) = 0.

Using the given values.

y(t) = 0 = 0 + 128 sin(30) t - 16t²

Simplifying and solving for t.

16t² - 64t = 0

16t(t - 4) = 0

t = 0 or t = 4

The time t = 0 represents when the ball is hit off the tee, so we discard that value. Thus, the ball is in the air for 4 seconds.

b)

The maximum height of the ball occurs at the vertex of the parabolic path. To find the vertex, we need to find the value of t that gives the maximum value of y(t).

This occurs when:

t = -b/2a = -128 sin(30)/(2(-16)) = 2 seconds

So the maximum height is:

y(2) = 0 + 128 sin(30)(2) - 16(2)^2 = 128 - 64 = 64 feet

c)

The horizontal distance the ball travels is given by the formula x(t) = v_0 cos(Ф)t.

Plugging in the given values.

x(t) = 128 cos(30) t = 64√3 t

To find how far the ball travels horizontally, we need to find x(4), since the ball is in the air for 4 seconds.

Thus:

x(4) = 64√3 (4)

= 256√3

= 443.2 feet

Thus,

The ball is in the air for 4 seconds.

The maximum height of the ball is 64 feet.

The horizontal distance the ball travels in the air is 443.2 feet.

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The four angles of a quadrilateral are  30°, 60°, 150°, and 120°  if the four vertices of an inscribed quadrilateral divide a circle in the ratio 1:2:5:4.

It is defined as the four-sided polygon in geometry having four edges and four corners.

We have the four vertices of an inscribed quadrilateral divide a circle in the ratio:

1:2:5:4

Let the sides of the quadrilateral be x, 2x, 5x, 4x.

We know the sum of all angles of quadrilateral = 360°

x+2x+5x+4x=360

12x = 360

First angle, x = 30°

Seconds angle, 2x = 2×30 ⇒ 60°

Third angle, 5x = 5×30 ⇒ 150°

Fourth angle, 4x = 4×30 ⇒ 120°

Thus, the four angles of a quadrilateral are  30°, 60°, 150°, and 120°

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The four angles of a quadrilateral are  30°, 60°, 150°, and 120°

Step-by-step explanation:

Step 1: The average price is $4.17.

Step 2: To calculate the average price, we need to find the sum of all the prices and divide it by the total number of items. In this case, the student purchased groceries at the prices of $1.01, $3.46, $5.84, and $7.38.

Summing up these prices, we get $1.01 + $3.46 + $5.84 + $7.38 = $17.69.

Since there are four prices, we divide the sum by 4 to find the average price: $17.69 / 4 = $4.4225.

Rounding this to the nearest cent, the average price is $4.42.

Step 3: The average price of the groceries purchased by the student is $4.17. This is calculated by summing up the individual prices and dividing the sum by the total number of items. The average price is commonly used as a measure to understand the typical or representative value of a set of prices.

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The standard error of the estimate is approximately 8.125.

To calculate the standard error of the estimate, we first need to calculate the regression equation that represents the relationship between the number of at-bats and the number of hits in the World Series. We can use the least squares method to find the equation.

Using the given data, we can calculate the slope (b) and y-intercept (a) of the regression equation as follows:

b = (nΣxy - ΣxΣy) / (nΣx^2 - (Σx)^2)

= (7(689) - (329)(153)) / (7(3837) - (329)^2)

≈ 0.453

a = (Σy - bΣx) / n

= (151 - (0.453)(329)) / 7

≈ 8.655

Therefore, the regression equation is y = 8.655 + 0.453x.

Next, we can use the equation to predict the number of hits for each player based on their at-bats and calculate the residuals (the differences between the predicted values and the actual values):

Player 1: y_hat = 8.655 + 0.453(51) ≈ 31.242, residual = 19 - 31.242 ≈ -12.242

Player 2: y_hat = 8.655 + 0.453(67) ≈ 36.732, residual = 25 - 36.732 ≈ -11.732

Player 3: y_hat = 8.655 + 0.453(77) ≈ 40.788, residual = 30 - 40.788 ≈ -10.788

Player 4: y_hat = 8.655 + 0.453(44) ≈ 27.813, residual = 20 - 27.813 ≈ -7.813

Player 5: y_hat = 8.655 + 0.453(55) ≈ 32.994, residual = 23 - 32.994 ≈ -9.994

Player 6: y_hat = 8.655 + 0.453(39) ≈ 25.278, residual = 16 - 25.278 ≈ -9.278

Player 7: y_hat = 8.655 + 0.453(45) ≈ 28.743, residual = 18 - 28.743 ≈ -10.743

Using these residuals, we can calculate the mean square error (MSE) as the sum of squared residuals divided by the degrees of freedom (n - 2):

MSE = (12.242^2 + 11.732^2 + 10.788^2 + 7.813^2 + 9.994^2 + 9.278^2 + 10.743^2) / 5

≈ 66.123

Finally, the standard error of the estimate (SE) is the square root of the mean square error:

SE = √66.123

≈ 8.125

Therefore, the standard error of the estimate is approximately 8.125.

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In the graph of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

The simple linear regression equation represents a linear relationship between a dependent variable and an independent variable. It can be written as y = ß0 + ß1x, where ß0 is the intercept and ß1 is the slope of the regression line.

The slope (ß1) determines the rate of change in the dependent variable (y) for each unit change in the independent variable (x). It represents the steepness or inclination of the regression line. The sign of ß1 indicates whether the line has a positive or negative slope, indicating the direction of the relationship between the variables.

Thus, in the context of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

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The equation of exponential regression that fits the data is given as follows:

y = 1.5(2.5)^x.

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

To obtain the equation of exponential regression, we must insert the points of the data-set into a calculator.

The points are given as follows:

(1, 3.75), (4, 9.375), (3, 23.438), (4, 58.594), (5, 146.484).

Inserting these points into a calculator, the equation is given as follows:

y = 1.5(2.5)^x.

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The dimensions that will minimize the cost of constructing the box are: Front width: in, Depth: in, Height: in.

To minimize the cost of constructing the box, we need to optimize the surface area of the box while meeting the required volume. Let's assume the front width, depth, and height of the box as x, y, and z respectively.

Step 1: Determine the volume equation.

The volume of a rectangular box is given by V = length × width × height. In this case, since it is an open-top box, the length can be neglected. Therefore, we have x × y × z = 350.

Step 2: Calculate the surface area and the cost equation.

The surface area of the box consists of the base, front, and the remaining sides. The cost of each component is given as follows:

- Base: 6 cents/in^2

- Front: 11 cents/in^2

- Remaining sides: 2 cents/in^2

The surface area equation is A = xy + 2xz + 2yz. The cost equation is C = 6xy + 11x + 2xz + 2yz.

Step 3: Minimize the cost equation.

To find the dimensions that minimize the cost, we need to express the cost equation in terms of a single variable. Using the volume equation, we can rewrite the cost equation as C = 6xy + 11x + (700/x) + (700/y). Taking the derivative of C with respect to x and y, setting them equal to zero, and solving the resulting system of equations will give us the critical points. By evaluating the second derivative of the cost equation, we can determine whether these critical points correspond to a minimum or maximum.

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Given the n™ term of a number sequence, the first three terms of the sequence are 0, 2 and 6

The sequence is given as:

n^2 - n​

To write down the first three terms of the sequence, we set n =1, 2 and 3

So, we have:

When n = 1

n^2 - n​ = 1^2 - 1

Evaluate

n^2 - n​ = 0

When n = 2

n^2 - n​ = 2^2 - 2

Evaluate

n^2 - n​ = 2

When n = 3

n^2 - n​ = 3^2 - 3

Evaluate

n^2 - n​ = 6

Hence, the first three terms of the sequence are 0, 2 and 6

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There are 336 different 5-digit telephone numbers that can be constructed using the digits 0 to 9, starting with "67" and with no repeated digits.

To answer your question, we need to find the number of ways to arrange the remaining three digits after "67" is fixed.

Since we cannot repeat any digit, the first digit has 8 possibilities (0 to 9 except for 6 and 7).

the second digit has 7 possibilities, and the third digit has 6 possibilities.
To find the total number of arrangements, we multiply the number of possibilities for each digit together:

8 × 7 × 6 = 336.
Therefore, there are 336 different 5-digit telephone numbers that can be constructed using the digits 0 to 9, starting with "67" and with no repeated digits.
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To simplify the ratio 85:34, we need to find the greatest common divisor (GCD) of the two numbers and divide both terms of the ratio by it. In this case, the GCD of 85 and 34 is 17, so we divide both terms by 17.

Dividing 85 by 17 gives us 5, and dividing 34 by 17 gives us 2. Therefore, the simplified form of the ratio 85:34 is 5:2. Simplifying a ratio to its simplest form ensures that it represents the smallest whole number ratio between the two quantities being compared. In this case, the simplified ratio 5:2 tells us that for every 5 units of one quantity, there are 2 units of the other quantity. This simplified form is easier to work with and interpret, providing a clear understanding of the relationship between the two values.

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The probability of obtaining five tails in a row assuming the coin is​ fair is 1/32.

A person will have to do 5 coin tosses which means,

No. of total observations  = 25

Required outcome → 5 Heads { T , T , T , T , T }

This outcome  can occur only once so required outcome will be 1

Thus, required outcome  =1

Probability (5 Tails) = 1 / 2⁵ = 1 / 32

Hence , the probability of obtaining five tails in a row assuming the coin is​ fair is 1/32.

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Answer:

I think you should start with a table and then write all your points for x then in the next column your answers for y.

Then take your medium and start drawing.

I suggest your x's should start from 0 and increase by 1 or 2

Then when you reach a certain point then go back to 0 and start doing your negatives.

For example if y = 2x

x | y

0|0

1 | 2

2| 4

3|6

4|8

....

then

16|32

0|0

-1|-2

-2|-4

Thanks for this question. I am working my way up to brainliest answer and Master Answerer. This answer took a lot of time to type so I hope I get good review.

:)

:)

Step-by-step explanation:

Answer:

Rate is 8.5%

Step-by-step explanation:

Step 1: Write the given terms

Principal (p)=Rs8800

Rate(r)=?

Time(t)=3.5 years

Interest=Rs2618

Step 2: Write the formula for calculating Simple interest

\(i = \frac{prt}{100} \)

Step 3: Make r the subject of the equation

\(by \: cross \: multiplication \\ 100i = prt \\ divide \: both \: sides \: by \: pt \\ r = \frac{100i}{pt} \)

Step 4: Find the value of r by substituting the values in step 1

\(r = \frac{100 \times 2618}{8800 \times 3.5} \\ r = \frac{261800}{30800} \\ r = 8.5\)

Hence, the rate is 8.5%

The measure of angle OCD from the given figure is 58°.

Given that, the points A, B, C and D lie on a circle Centre O.

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Here, OC and OB are radius of a circle, then BOC is isosceles triangle

Now, ∠BOC+∠OBC+∠OCB=180°

50°+∠OBC+∠OBC=180°

⇒ 2∠OBC=130°

⇒ ∠OBC=65°

Here, ∠OCD=∠BCD-65°

⇒ x=123-65=58°

Hence, the measure of angle OCD from the given figure is 58°.

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Answer:

Step-by-step explanation:

Answer:

d)   24.2 cm²

Area of equilateral triangle  A = 24.22 cm²

Step-by-step explanation:

Step(i):-

Perimeter of equilateral triangle  = 3 a

Given  Perimeter of equilateral triangle  = 22.45 cm

   now   3 a = 22.45

  Dividing '3' on both sides,we get

             a = 7.48 cm

Step(ii):-

Area of equilateral triangle

                                  \(A = \frac{\sqrt{3} a^{2} }{4}\)

                                   \(A = \frac{\sqrt{3} (7.48)^{2} }{4}\)

                                  A = 24.22 cm²

Conclusion:-

Area of equilateral triangle  A = 24.22 cm²

Answer:

The answer is 24.2

Step-by-step explanation:

on edg. 2020

Answer:

x = 13 , x = 9

Step-by-step explanation:

for the lines to be parallel then 9x + 2 and 119 are alternate angles and are congruent , so

9x + 2 = 119 ( subtract 2 from both sides )

9x = 117 ( divide both sides by 9 )

x = 13

-------------------------------------------------------

For f and g to be parallel then 18x - 44 and 8x - 10 are same- side interior angles and sum to 180° , then

18x - 44 + 8x - 10 = 180 , that is

26x - 54 = 180 ( add 54 to both sides )

26x = 234 ( divide both sides by 26 )

x = 9

Answer:

B.

Step-by-step explanation: I took the test.

Answer:

Picture A

Step-by-step explanation:

Answer:

where is the photo?

Step-by-step explanation:

Where is the photo, I need you to give me more details so i can officially answer your question, thank you :)