what is the solution to the division problem below? (you can use long division or synthetic division.) PLEASE ANSWER

The value of angle ABE is 52°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.

The interior angles of a triangle are the inside angles formed where two sides of the triangle meet.

The sum of interior angle in a triangle is 180°

Angle EBD = 180-(90+27)

= 180-117

= 63°

angle ABE + EBD = ABD

ABE = ABD - EBD

ABE = 115-63

= 52°

Therefore the value of angle ABE is 52°

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Please elaborate, your question is not precise. What is the time frame you are asking about?

Answer:

✅ C. $23,271

Edgen

The maximum number of poles required to drive the load is 8.

full load speed = 120*f/p

850 = 120*60/p

p = 120*60/850

p = 8.47

since no. of poles are even so

p = 8

if number pole p = 8

synchronous speed Ns = 120*f/p = 120*60/8 = 900RPM

SLIP = (Ns - N)/Ns

s = (900-850)/900

s = 0.056

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By substitution; x = 4 and y = -31

An equation is a mathematical statement that shows that two mathematical expressions are equal. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity.

y=-6x-7 --- 1

7x+y=-3 --- 2

Substituting y as 6x - 7 in equation 2

7x + (-6x - 7) = -3

7x - 6x - 7 = -3

x - 7 = -3

x = -3 + 7

x = 4

Substitute x as 4 in equation 1

y = -6x - 7

y = -6(4) - 7

y = -24 - 7

y = -31

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Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

The maximum distance between the earth and the satellite orbit with an elliptical orbit is 520 km.

In the question, we are given that a satellite orbits the Earth with an elliptical orbit modeled by x squared over 47 million four hundred seventy two thousand one hundred plus y squared over forty four million two hundred twenty two thousand five hundred equals 1, where the distances are measured in km. The Earth shares the same center as the orbit.

We are asked to find the maximum distance between the satellite and the Earth if the radius of the Earth is 6,370 km.

Given elliptical form is:

x²/47,472,100 + y²/44,222,500 = 1,

or, x²/6,890² + y²/6,650² = 1.

The radius of the Earth, R = 6,370 km.

We know that the standard elliptical form is:

(x - h)²/a² + (y - k)²/b² = 1, Where, in a horizontal ellipse;

a = The major axis (the longer axis), which gives the maximum distance between the satellite and Earth.

b = The minor axis (the shorter axis).

On comparing the given elliptical form to the standard elliptical form, we get a = 6,890.

The distance between the satellite and the surface of the Earth, d, is given as follows:

d = a - R

Which gives;

d = 6,890 km - 6,370 km = 520 km.

Thus, the maximum distance between the earth and the satellite orbit with an elliptical orbit is 520 km.

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Answer:

3.6 in³

This should be the correct answer, good luck!

Answer: 8/3 or 2 2/3

Answer:

138 grams of zinc

Step-by-step explanation:

Zinc : copper = 3 : 19

Let amount of zinc = 138 grams

3 : 19 :: x : 874

Product of means  = product of extremes

19 * x = 3 * 874

      x = \(\frac{3*874}{19}\)

      x = 3 * 46

Zinc = 138 grams

\(\underline{\underline{\sf \bigstar \qquad Solution \qquad \: \bigstar}} \\ \)

Let weight of copper be 3x and weight of zinc be 19x.

☯ \(\underline{\boldsymbol{According\: to \:the\: Question\:now :}} \\\)

\(:\implies \textsf {Total weight = weight of copper + weight of zinc} \\ \\ \\ \)

\(:\implies \textsf {Total weight = 3x +19x} \\ \\ \\ \)

\(:\implies \underline{ \boxed{ \textsf {Total weight = 22x}}} \\ \\ \\ \)

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━

\(\dashrightarrow\:\:\textsf{ Weight of chemical = weight of zinc + weight of copper} \\ \\ \\ \)

\(\dashrightarrow \: \: \sf 22x = 3x + 19x \\ \\ \\ \)

\(\dashrightarrow \: \: \sf 22x = 3x + 874 \\ \\ \\ \)

\(\dashrightarrow \: \: \sf 22x - 3x = 874 \\ \\ \\ \)

\(\dashrightarrow \: \: \sf 19x = 874 \\ \\ \\ \)

\(\dashrightarrow \: \: \sf x = \dfrac{874}{19} \\ \\ \\ \)

\(\dashrightarrow \: \: \underline{\boxed{ \sf x = 46}} \\ \\ \\\)

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━

\(\bigstar\:\underline{\frak{Finding \: the \: weight \: of \: the \: zinc \: in \: a \: chemical : }}\)

\(\longrightarrow\:\:\sf weight \: of \: zinc = 3x \\ \\ \\ \)

\(\longrightarrow\:\:\sf weight \: of \: zinc = 3 \times 46 \\ \\ \\ \)

\(\longrightarrow\:\: \underline{ \boxed{\sf weight \: of \: zinc =138 \: grams}} \\ \\ \\ \)

\(\therefore\:\underline{\textsf{The chemical contains \textbf{138 grams}} \textsf{ of zinc}}. \\ \)

The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:

Branch of Santosh & Co. Chennai

For the year ended December 31, 2018

Sales revenue            $40,300

Cost of goods sold         4,200

Gross profit                 $36,100

Expenses:

Office expenses $36,000

Salaries                    3,600

Total expenses         $39,600

Loss                             $3,500

An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.

The profit or loss is the difference between the total revenue and the total expenses for the accounting period.

Credit sales at branch 40,000

Office expenses by Head office 36,000

Cash remittance to branch for petty cash 9,000

Goods sent to Branch 7,200

Salaries paid by head office 3,600

Debtors 31.12.2018 30,000

Petty cash on 31.12.2018 16,200

Cash sales at branch 300

Stock of 31.12.2018 3,000

Sales revenue   $40,300 ($40,000 + $300)

Cost of goods sold $4,200 ($7,200 - $3,000)

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The correct answer is 0.05, because the weakest relationship between the variables would be the one closest to 0, which is 0.05.

A correlation coefficient measures the strength and direction of the linear relationship between two variables, with values ranging from -1 to 1.

A value of -1 indicates a perfect negative linear relationship, 0 indicates no linear relationship, and 1 indicates a perfect positive linear relationship. Therefore, the correlation coefficient that indicates the weakest relationship between the variables would be the one closest to 0, which is 0.05.

The other values indicate moderate to strong linear relationships, with -0.65 indicating a moderate negative linear relationship, 0.82 indicating a strong positive linear relationship, and -3.45 indicating a problem with the data as correlation coefficients cannot be less than -1 or greater than 1.

Therefore, the correct answer is 0.05.

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Answer:

d) none of the above

Step-by-step explanation:

a & b are adjacent angles

If sum of two angles is 180, then they are supplementary angles.

If sum of two angles is 90, then they are complementary angles.

Answer:

the answer is .D nun of the above

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

As they are 10 pieces and only 7 are shaded me need to multiply 7x10 and it's 70

We can see here that the 90% confidence interval will be: 420.2 to 585.8.

An interval of values known as a confidence interval is one that is likely to include the real value of a population parameter. A confidence interval of 95%, for instance, indicates that there is a 95% likelihood that the population parameter's real value falls inside the interval.

We will find the sample mean first:

Sample mean = sum of data points / number of data points

Sample mean = 8551 / 17 = 503

Then the standard error will be:

Standard error = population standard deviation / square root of number of data points

Standard error = 190 / √(17) = 41.7

Confidence interval = Sample mean ± 1.645 × standard error.

where 1.645 is the z-score for a 90% confidence interval.

Confidence interval = 503 ± 1.645 * 41.7 = 420.2 to 585.8

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The correct option regarding the expected value of her game is given as follows:

B. She looses $0.5 per roll.

The expected value of a discrete distribution is calculated as the sum of each outcome multiplied by it's respective probability.

As each outcome is equally as likely, the distribution of earnings for her game is given as follows:

Hence the expected value for the game is of:

E(X) = (1 + 2 + 3 + 4) x 1/6 - 6.5 x 2/6

E(X) = -$0.5.

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Answer:

Discriminant is \( {b}^{2} - 4 \times a \times c \)

\(16 - 4 \times 4 \times 1 = 0\)

Answer:

\(\Huge \boxed{\boxed{ x = 1}}\)

Step-by-step explanation:

Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.

To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.

Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.

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

Step1: Subtract \(\bold{2x}\) from both sides

Step 2: Subtract 3 from both sides

Step 3: Divide both sides of the equation by 6

So the solution to the equation \(\bold{8x + 3 = 2x + 9}\) is \(\bold{x = 1}\).

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11 x 7 + 11 x 4 is the expression of the total area as the sum of the areas of

each room.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

11 (7 + 4)

Using the property of multiplication over addition.

11 x 7 + 11 x 4

Thus,

11 x 7 + 11 x 4.

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Step-by-step explanation:

A car is on a slope of 10degree above the horizontal . a force 1000N is applied to the car up the line of the slope. the car has amass of 500 kg . what is the acceleration of the car

Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

Answer:

20%

Step-by-step explanation:

Using the vertex of the quadratic equation, it is found that the stone reaches a maximum height of 221.0625 ft after 3.5625 s.

A quadratic equation is modeled by:

\(y = ax^2 + bx + c\)

The vertex is given by:

\((x_v, y_v)\)

In which:

\(x_v = -\frac{b}{2a}\)

\(y_v = -\frac{b^2 - 4ac}{4a}\)

Considering the coefficient a, we have that:

In this problem, considering initial velocity of v(0) = 114 and an initial height of h(0) = 18, the equation is:

h(t) = -16t² + 114t + 18.

Which is a quadratic equation with coefficients a = -16, b = 114, c = 18.

Hence:

\(x_v = -\frac{114}{2(-16)} = 3.5625\)

\(y_v = -\frac{114^2 - 4(-16)(18)}{4(-16)} = 221.0625\)

Hence, the stone reaches a maximum height of 221.0625 ft after 3.5625 s.

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solution

for this case we can use the Pythagoras theorem and we have:

then the answer would be:

21.5

Being a girl and playing a sport are C. No, they are not independent events, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62.

Let's consider the probabilities:

P(girl) = (number of girls) / (total number of students) = 135 / 275 ≈ 0.49

P(girl plays a sport) = (number of girls playing a sport) / (total number of students) = 76 / 275 ≈ 0.276

If being a girl and playing a sport were independent events, the joint probability would be the product of the individual probabilities:

P(girl) × P(girl plays a sport) ≈ 0.49 × 0.276 ≈ 0.13524

However, the actual joint probability is different from the expected value:

P(girl, plays a sport) ≈ 76 / 275 ≈ 0.276

Since the joint probability does not match the product of the individual probabilities, we can conclude that being a girl and playing a sport are not independent events based on the given data.

Therefore, option C. No, they are not independent, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62. is the correct answer.

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Answer:

Step-by-step explanation:

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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