A worker at an orchard measures the mass of different numbers of apples. The scatter plot below shows the relationship between the mass, in kilograms, and the number of apples.


What is the slope of the line of best fit? Express your answer as a decimal and round to the nearest hundredth.

Meaning of the △ is: the given symbol is the representation of the geometrical figure triangle.

Therefore, the meaning of the given symbol △ is the representation of the triangle.

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Answer:

$37,392

Step-by-step explanation:

A = r^2 times Pi. 63 diameter = 31.5. Pi = 3.14 A = 31.5^2(992.25) = 3,115.665.

If fence cost $12 per meter, 3,115.665 is rounded to 3,116. 3,116 times 12 = $37,392

Answer:

The slope of line t is -4/5.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(14-10)/(2-7)

m=4/-5

Parallel lines have same slopes.

Answer:

d

Step-by-step explanation:

The values of k are 3, – 3 for which roots of the quadratic equation are real and equal.

What is a quadratic equation?

An equation containing one term in which the unknown is squared and no term in which it is raised to a power higher than 2.

Given: 3x² + 2kx + 3 = 0

Comparing with standard quadratic equation ax² + bx + c = 0

a = 3 b = 2k c = 3

Given that the roots of the equation are real and equal

Thus, D = 0

Discriminant D = b² – 4ac = 0

(2k)² – 4.3.3 = 0

4k² – 36 = 0

4k² = 36

k² = 9 taking square root on both sides

k = 3 or k = – 3

Hence, The values of k are 3, – 3 for which roots of the quadratic equation are real and equal.

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Answer: 5$ for 52 days

Step-by-step explanation: (5 x 52) + 90 = 350

Trigonometric identities are categorized as various identities out of which 11 are ,

Trigonometric Identities are used when trigonometric functions are given in an expression. Geometrically, these identities include one or more trigonometric functions

These are the sine , cosine or the tangent functions.

There are numerous trigonometric identities relating the side length and angle of a triangle. Only the right-angle triangle has the trigonometric identities.

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Answer:

64 Is the correct answer right

The three types of solutions for systems are:

A consistent system is one where the number of equations is equal to the number of unknowns, and a unique solution can be found. An inconsistent system is one where the number of equations is greater than the number of unknowns and there is no solution.

A dependent system is one where the number of equations is less than the number of unknowns and an infinite number of solutions exist. In a consistent and dependent system, the solution can be found by using methods such as elimination or substitution.

In an inconsistent system, the system has no solution. In dependent system, the solution can be found by using methods such as elimination or substitution, but the solution is not unique it has infinite solutions.

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Answer:

Step-by-step explanation:

y = a * x(x - 3)(x + 1)^2

2,12 is used to find the value of a

y = a (2)(2 - 3)(2 + 1)^2

12 = a (2)(-1)(3)^2

12 = a (2) (-1) (9)

12 = - 18*a

12/-18 = a

a = - 2/3

y = (-2/3)*x*(x - 3)(x + 1)^2

Answer:

Estimation: 300 Billion times bigger

Actual: 290 Billion times bigger

Step-by-step explanation:

Lets group the coefficients together and the exponents together.

[tex](\frac{6.1}{2.1})(\frac{10^7}{10^{-4} })[/tex]

We can round 6.1 to 6.

We can round 2.1 to 2.

[tex](\frac{6}{2})(\frac{10^7}{10^{-4} })[/tex]

[tex](3)(\frac{10^7}{10^{-4} })[/tex]

Subtract the exponent from the denominator from the exponent of the numerator.

[tex](3)(10^{7-4*1} )[/tex]

[tex](3)(10^{7+4} )[/tex]

[tex](3)(10^{11} )[/tex]

[tex]3*10^{11}[/tex]

[tex]10^{11}[/tex] is 100 billion.

3 times 100 billion is 300 billion.

The number of chairs that should be removed, for there to be as few empty seats as possible but for all rows of chairs to be complete, is 33 chairs.

The number of chairs that make up a row is 11 chairs and there are to be 70 students in attendance. The number of rows that would take the students is therefore:

= Number of students / Number of rows

= 70 / 11

= 6. 36

= 7 rows rounded up

The number of rows needed is 7 rows which means the number of chairs would be:

= 7 rows x 11 chairs per row

= 77 chairs

The number of chairs to be removed is:

= Total chairs - Chairs needed

= 110 - 77

= 33 chairs

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Answer:

74,779,038,221

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

[tex]5^3*7^5+9^8+0+0+0+0+0+0+9^7*5^6[/tex]

We can eliminate all the zeroes.

[tex]5^3*7^5+9^8+9^7*5^6[/tex]

Evaluate each term.

Raise 5 to the power of 3.

[tex]125*7^5+9^8+9^7*5^6[/tex]

Raise 7 to the power of 5.

[tex]125*16807+9^8+9^7*5^6[/tex]

Raise 9 to the power of 8.

[tex]125*16807+43046721+9^7*5^6[/tex]

Raise 9 to the power of 7.

[tex]125*16807+43046721+4782969*5^6[/tex]

Raise 5 to the power of 6.

[tex]125*16807+43046721+4782969*15625[/tex]

Multiply 125 by 16807.

[tex]2100875+43046721+4782969*15625[/tex]

Multiply 4782969 by 15625.

[tex]2100875+43046721+74733890625[/tex]

Add 2100875 and 43046721.

[tex]45147596+74733890625[/tex]

Add 45147596 and 74733890625.

[tex]74779038221[/tex]

A calculator would help but here you go.

Answer:

2.46

Step-by-step explanation:

Answer:

[tex]A=283.528736986[/tex]

Step-by-step explanation:

The formula for the area of a circle is:

[tex]A=\pi \times r^2[/tex]

Remember that the radius is half the diameter, we are given the diameter which is 19, which means we need to find the radius:

[tex]d=19[/tex]
[tex]19\times\frac{1}{2} =9.5[/tex]
[tex]r=9.5[/tex]

Substitute and solve:

[tex]A=\pi \times9.5^2[/tex]
[tex]9.5^2=9.5\times9.5=90.25[/tex]
[tex]\pi \times90.25=283.528736986[/tex]
[tex]A=283.528736986[/tex]

Since the question doesn't say to round the area is "283.528736986."

Hope this helps.

Monomial, binomial, and trinomial expressions are all categorized by the number of terms they include.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

A polynomial with one term is called a monomial. A polynomial having two dissimilar terms is called a binomial. An algebraic expression having three terms is called a trinomial.

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Read the link attached.

I have written it down on the word doc

Answer:

multiply 17x5=85,85+5=90 so aswer is 90

Step-by-step explanation:

Answer:

17+85 is the answer that I got

The value of 'y' in the isosceles trapezoid ABCD is 14 and this can be determined by using the properties of isosceles trapezoid.

What is Triangle ?

Triangle can be defined as which contains three sides, three angles and the sum of the angles is 180 degrees.

Given ,

ABCD is an isosceles trapezoid with legs AB and CD and base BC.

If the length of AB is (7y - 4),

the length of BC s (4y - 6),

and the length of CD is (8y - 18).

The two legs are of equal length In any isosceles trapezoid that means:

7y - 4 = 8y - 18

Add 18 on both sides in the above equation.

7y - 4 + 18 = 8y - 18 + 18

7y + 14 = 8y

Now, subtract 7y on both sides in the above equation.

7y + 14 - 7y = 8y - 7y

Simplify the above expression in order to get the value of 'y'.

y = 14

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Answer:

oki! Mizuki here to help! 12 will be your answer!

Step-by-step explanation:

Soo... The ratio of blue to green is 4:3 right?

and there are 21 balloons!

4 + 3 is 7! So we divide 21 by 7 and get 3!

Then we multiply 3 by the number of blue balloons(aka 4) and get 12!

Answer:

did you type the right question give me the  correct one and i will help

Step-by-step explanation:

hi add me now or else

In response to the question, we may say that As a result, the orangutan's expression mass in kilogrammes is roughly 64.55 kg.

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

To convert pounds to kilogrammes, divide the pound weight by the conversion ratio of 2.2.

Hence, to calculate the orangutan's mass in kilos, do the following:

Divide the orangutan's weight in pounds by the conversion ratio of 2.2:

142 pounds divided by 2.2 is 64.54545... kilos (rounded to the nearest hundredth)

As a result, the orangutan's mass in kilogrammes is roughly 64.55 kg.

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Yes, infinity times 0 is still 0 because if we multiply 0 to any number is 0.

Yes, infinity times 0 is still 0 because if we multiply 0 to any number is 0.

0 * 0 * 0 * 0= 0

Zero is the integer denoted 0 that, when used as a counting number, means that no objects are present. It is the only integer (and, in fact, the only real number) that is neither negative nor positive. A number which is not zero is said to be nonzero. A root of a function f is also sometimes known as "a zero of f."

The Schoolhouse Rock segment "My Hero, Zero" (Multiplication Rock, Season 1, Episode 2, 1973) extols the virtues of zero with such praises as, "My hero, zero Such a funny little hero But till you came along We counted on our fingers and toes Now you're here to stay And nobody really knows How wonderful you are Why we could never reach a star Without you, zero, my hero How wonderful you are."

Zero is commonly taken to have the factorization 0=0·1 (e.g., in the Wolfram Language's FactorInteger[n] command). On the other hand, the divisors and divisor function sigma_k(0) are generally taken to be undefined, since by convention, n|0 (i.e., n divides 0) for every n except zero.

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Complete question :

In March 2003, the Pew Research Group surveyed 1508 adult Americans and asked, "Do you believe the United States made the right or wrong decision to use military force in Iraq?" Of the 1508 adult Americans surveyed, 1086 stated the United States made the right decision. In August 2010, the Pew Research Group asked the same question of 1508 adult Americans and found that 618 believed the United States made the right decision. Construct and interpret a 90% confidence interval for the difference between the two population proportions

Answer:

(0.282 ; 0.338)

We are 90% confident that the proportion of adults in the U.S who believe that the United States made the right decision in 2003 lies between 0.282 and 0.338, higher than the proportion of adult Americans in 2010 who believe the same.

Step-by-step explanation:

Given :

p = x / n

p1 = 1086/1508 = 0.72

p2 = 618/1508 = 0.41

Confidence interval :

(p1 - p2) ± margin of error

Margin of Error = Zcrit*√p1(1-p1)/n1 + p2(1-p2)/n2

Zcrit at 90% = 1.645

1 - p1 = 1 - 0.72 = 0.28

1 - p2 = 1 - 0.41 = 0.59

MOE = 1.645*√(0.72*0.28)/1508 + (0.41*0.59)/1508

MOE = 1.645 * 0.0171492 = 0.0282105

(p1 - p2) = (0.72 - 0.41) = 0.31

Lower boundary = 0.31 - 0.0282 = 0.2818

Upper boundary = 0.31 + 0.0282 = 0.3382

(0.282 ; 0.338)

We are 90% confident that the proportion of adults in the U.S who believe that the United States made the right decision in 2003 lies between 0.282 and 0.338, higher than the proportion of adult Americans in 2010 who believe the same.

The final answer is 4x, which is the simplest form of expression.

What is the rational exponent?

A rational exponent is an exponent that is in the form of a ratio of two integers, such as a/b where a and b are integers and b is not equal to zero.

To rewrite the expression in simplest rational exponent form, we can first simplify the radicals and then combine any like terms. Here are the steps to simplify the given expression:

4√x* √x = 4 * 1 √x * √x = 4 * x^(1/2) * x^(1/2) = 4 * x^( (1/2)+(1/2) ) = 4 * x^(1)

x^(1) = x

So, the expression in simplest rational exponent form is 4x

x * 4x = 4x

Notice that 4 and x are in the same radical which means 4 is a coefficient of x.

Therefore, 4√x * √x can be written as 4x, which is in the simplest form.

hence, the final answer is 4x, which is the simplest form of expression.

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Answer:

I'm pretty sure it's either 27, or 12.

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

40% is for 36

(100*36)/40