Estimate the weight of the chips in the bag.

The roots of the equation [tex]x^{2}[/tex]-15x +2 =0 are 14.865 and 0.135

Completing the square method is one of the methods to find the roots of the given quadratic equation.

Given equation is:

[tex]x^{2}[/tex]-15x +2 =0

Using Completing the Square method we have

[tex]x^{2}[/tex]-15x +2 + [tex](\frac{15}{2})^{2}[/tex] - [tex](\frac{15}{2})^{2}[/tex] =0

Now,

[tex]x^{2}[/tex]-15x + [tex](\frac{15}{2})^{2}[/tex] - [tex](\frac{15}{2})^{2}[/tex] +2=0

or, [tex][x-(\frac{15}{2})]^{2}[/tex] - 225/4 +2 =0

or,  [tex][x-(\frac{15}{2})]^{2}[/tex] -217*4 =0

or,  [tex][x-(\frac{15}{2})]^{2}[/tex] = 217/4

or,  [tex]x[/tex] = [tex]\pm \frac{14.73}{2} + \frac{15}{2}[/tex]

or, [tex]x_1[/tex]= 14.865, [tex]x_2[/tex]= 0.135

Thus, the roots of the quadratic equation are: 14.865 and 0.135

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The solution set of the equation is (0, 7)(-1, 6)

y = x² + 2x + 7

y = x + 7

y = x² + 2x + 7

y = x + 7

x² + 2x + 7 = x + 7

x² + 2x - x + 7 - 7 = 0

x² + x = 0

x(x + 1) = 0

Therefore,

x = 0 and x = -1

Substitute the value in equation(ii)

when x = 0

y = x + 7

y = 0 + 7

y = 7

when x = -1

y = -1 +7

y = 6

Therefore, the solution set are (0, 7)(-1, 6)

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Answer:

first one is the valid probability distribution

It is a pythagorean triple.

Answer:

∠V = 32°

Step-by-step explanation:

VW = UV

⇒ Isosceles triangle. So, the angles opposite sides are equal.

∠W = ∠U

∴ ∠W = ∠U = 74°

 Sum of all angles of triangle = 180

74 + 74 + ∠V = 180

       148 + ∠V = 180

                ∠V = 180 - 148

∠V = 32°

Answer:

80

Step-by-step explanation:

5b^2

=5(4^2)

=5(16)

=80

Answer:

Hence, slope of y=7x−2 is 7 and y -intercept is −2.

Step-by-step explanation:

The equation of any straight line can be written as y=mx+c, where m is its slope and c is its y-intercept.

Comparing the equation y=7x−2 with the standard form of the equation, we get:

m=7,c=−2

Hence, slope of y=7x−2 is 7  and y -intercept is −2

Hope this helps :)

Question

Jackson is told that he will be given 1 cent for working today. However, for each day he works, he will get double the pay. So, on day 2, he gets 2 cents, on day 3, 4 cents, and so on. Jackson thinks, no way, that’s not much money. But if he agrees, how much will he make on day 20?

Answer:

48 cents

Step-by-step explanation:

Yes yes yes

The total area of the fields that Ram has is  170,900 square meters ( 170900 m²)

From the question, we are to determine the total area of the fields that Ram has

Since the fields are square in shapes, we will use the formula for calculating the area of a square

The area of a square can be calculated by using the formula,

A = s²

Where A is the area

and s is the side

For the first field

s = 350 m

∴ A = 350²

A = 122500 m²

For the second field

s = 220 m

∴ A = 220²

A = 48400 m²

Then,

The total area of the fields = 122500 m² + 48400 m²

The total area of the fields = 170900 m²

Hence, the total area of the fields that Ram has is  170,900 square meters ( 170900 m²)

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Answer:

(x - 6)(x - 3)

Step-by-step explanation:

x² - 9x + 18

consider the factors of the constant term (+ 18) which sum to give the coefficient if the x- term (- 9 )

the factors are - 6 and - 3 , since

- 6 × - 3 = + 18 and - 6 - 3 = - 9 , then

x² - 9x + 18 = (x - 6)(x - 3) ← in factored form

Answer:

(x - 3)(x - 6)

Step-by-step explanation:

x²- 9x+18

= x^2 - 6x - 3x + 18

= x(x - 6) - 3(x - 6)

= (x - 3)(x - 6).

Answer:

28ares

Step-by-step explanation:

that's the correct way.i hope you will understand it. if there's any question feel free to ask. nice day.

Answer:

  114°

Step-by-step explanation:

Non-adjacent angles where two lines cross are called "vertical angles." They are congruent.

  x = 114°

Answer:

This is prime.

No factors.

Step-by-step explanation:

Answer:

I believe it would be 3,000,000 by the end of 12 years since nothing is being taken out or deposited but instead, she put a compound interest so the numbers would go up from what i gather

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Distance formula = [tex](x_{1}-x_{2})+(y_{1}-y_{2})[/tex]

Depending on which point is A and Which point is B, the answer is one of the two.

However, there is no such thing as negative distance, so your answer is 16 points in a certain direction.

Answer: I will give you a answer for both of them.

Step-by-step explanation:

First equation: x+y=20

1. Subtract y from both sides.

x=20−y

Second equation: 2x+y=25

1. Subtract y from both sides.

2x=25−y

2. Divide both sides by 2.

[tex]X[/tex][tex]=[/tex][tex]\frac{25-y}{2}[/tex]

Using it's concept, it is found that the desired probability is given as follows:

P(Head, Diamond AND Head, Heart) = 1/64.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, for each trial, there are 8 equally as likely outcomes, hence:

Hence the probability of both outcomes is given by:

P(Head, Diamond AND Head, Heart) = 1/8 x 1/8 = 1/64.

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Answer:

the answer is π^8

Step-by-step explanation:

the math program has got some bugs in it. See your teacher and tell him or her about it

The equation that gives the amount of Fe that remains after 12 years is; F(t) =200(0.5)^12/2.7.

A radioactive substance is a substance that decays spontaneously. Recall that the half life is the time taken for half of the radioactive substance to remain.

We know that; N =No(0.5)^t/t1/2 hence, the equation that gives the amount of Fe that remains after 12 years is; F(t) =200(0.5)^12/2.7.

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Answer:

A

Step-by-step explanation:

took the test

Answer:

1457.7 cubic ft

Step-by-step explanation:

Volume of a cylinder= πr²h

where, r = radius = 8/2 = 4 ft

h = 29

Volume=  π × 4² × 29 = 1457.7 cubic ft

[tex]\rule{300}{1}[/tex]

[tex]\diamond\large\blue\textsf{\textbf{Given question:-}}}[/tex]

      A cylinder has a base of 8 feet and a height of 29 ft. What is its volume

in cubic feet (ft³)?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

We are asked to find the volume of a cylinder, which can be found using the following formula:-

    [tex]\hookrightarrow\boxed{\bold{V=\pi r^2h}}[/tex]

Where:-

Provided Information:-

Solving for Volume:-

        ✳︎ [tex]\sf{V=\pi (4)^2(29)}[/tex]

On simplification,

    ✳︎ [tex]\sf{V=\pi (16)(29)}[/tex]

On further simplification,

   ✳︎ [tex]\sf{V=464\pi }[/tex]

Final step:-

✳︎ [tex]\sf{V\approx1,457.7\:ft^3}[/tex]

So we conclude that the volume of the given cylinder is

[tex]\ast[/tex] [tex]\sf{V\approx{1,457.7\:ft^3}}}[/tex]

[tex]\rule{300}{1}[/tex]

Answer:

9.94

Step-by-step explanation:

Density = mass/ volume

1.420 = mass / 7

7 x 1.42 = mass

9.94 = mass

Answer:

0.0000045

[tex]10^5 = 10 * 10 * 10 * 10 * 10 = 100,000\\\\0.45 / 100,000 = 0.0000045[/tex]

When it comes to tiny floating numbers, that means multiply a number by itself the number of times the floating exponent says to.

Answer:

[tex]0.0000045[/tex]

Step-by-step explanation:

Rewrite it as a fraction:

[tex] \frac{0.45}{ {10}^{5} } [/tex]

Calculate it:

[tex] \frac{0.45}{100000} [/tex]

Rewrite the fraction:

[tex] \frac{45}{10000000} [/tex]

Simply:

[tex] \frac{9}{2000000} [/tex]

Turn it into a decimal:

[tex]0.0000045[/tex]

If the probability will be 0.7842. Then the number of students who scored between 200 and 245 will be 941.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The scores of a recent test taken by 1200 students had an approximately normal distribution with a mean of 225 and a standard deviation of 18.

Then the number of students who scored between 200 and 245 will be

Then the z-score for x = 200

[tex]z = \dfrac{200-225}{18}\\\\z = -1.389[/tex]

Then the z-score for x = 245

[tex]z = \dfrac{245-225}{18}\\\\z = 1.1111[/tex]

Then we have

[tex]\begin{aligned} P(-1.39 < z < 1.11) &= P(z < 1.11) - P(z < -1.389)\\\\&= P(z < 1.11)- [1-P(z > -1.389)] \\\\&=0.8665 - (1-0.9177) \\\\&=0.7842 \end[/tex]

Then the number of students who scored between 200 and 245 will be

→ 0.7842 × 1200

→ 941.04 ≅ 941

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Answer:

38

Step-by-step explanation:

2(2) = 4

4(5) = 20

20(6) = 120

120/3 = 40

40 - 3 = 37

37 + 1 = 38

The area of a 2D form is the amount of space within its perimeter. The surface area of each polyhedron is 82units², 48units², and 48units², respectively.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The surface area of the polyhedrons can be written as,

I Polyhedron

SA = 2[(5×6)+(5×1)+(6×1)] = 2[(30)+(5)+(6)] = 82 units²

II Polyhedron

SA = (4×4)+4(0.5×4×4) = 16+32 = 48 units²

III Polyhedron

SA = (3×3) + 2(0.5×4×3) + (5×3) + (4×3) = 48 units²

Hence, the surface area of each polyhedron is 82units², 48units², and 48units², respectively.

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Answer:

5/6-1/9=45/54-6/54=39/54.

Step-by-step explanation:

hey!

To make fractions have a common denominator, multiply both the numerator and denominator by the same number. For example, 5/6=45/54 because I multiplied 5 and 6 both by 9, and 1/9= 6/54 because I multiplied 1 and 9 by 6. This is the same for all fractions.

Hope this helped :)

Answer:

13/18

Reasoning:

First. We have to find the GCD

Second. Multiply both fractions with the number that creates the GCD

5/6 x 3/3 - 1/9 x 2/2 = 15/18 - 2/18

Third. Subtract 15/18 - 2/18 = 13/18

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Answer:

the answer is c 4 hours because it's 75 per hour