In 2–3 sentences, describe how you would change the background of a group of cells.

Answer:

1 ; -5 ; 2x

Step-by-step explanation:

1. We must have 0x equal to a number that is not 0

example = 1

5x - 5x = 5 + 1

0 = 6 (false)

2 we must have 0 = 0

-5

5x - 5x = 5 - 5

0 = 0

3 the x must stay

example = 2x

5x - 5 = 5x + 2x

2x = -5

2/2 x = -5/2

x = -5/2

The equation of the function graphed for 0 ≤ x ≤ 360 is

Transformation is a term used in mathematics to refer to the movements made by objects.

Transformation that took place in the graph is of two types namely

The translation involves moving the graph downward by 1 unit. This movement shifts the graph from running across the x axis to making x axis the crest

The vertical stretch is by a factor of 2. A complete cycle would have been rom 0 to 180. however two cycles are now covered within this period.

The graph is of showing cos x (blue) and y = -1 + cos 2x (red) is attached

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The slope of the line perpendicular to the line 2x - 12y = 120 will be -6.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have the following equation -

2x - 12y = - 120

Rearranging the equation, we get -

2x - 12y = 120

12y = 2x - 120

6y = x - 60

y = (1/6)x - 10

The slope of the line perpendicular to the line 2x - 12y = 120 will be -

m[2] = -1 / (1/6) = - 6

m[2] = - 6

Therefore, the slope of the line perpendicular to the line 2x - 12y = 120 will be -6.

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The simplified form of the given expression; negative 1 and 2 over 3 minus 9 and 2 over 5 as required is; -166/15 (negative 166 over 15).

It follows from the task content that the simplified form of the given expression is to be determined.

Since the given expression is; -1 ⅔ - 9 ⅖.

First, the mixed numbers as in the task content must be converted to fractions so that we have;

- 1 ⅔ = -5/3 and

9 ⅖ = 47/5

Therefore, the required evaluation is; -5/3 - 47/5

= -25/15 - 141/15

= (-25 - 141) / 15

= -166/15

Therefore, the required simplified form of the expression is; negative 166 over 15.

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Answer:

Step-by-step explanation:

:

The answer is 4x^{2}+12x-16. correct me if im not ty!

Answer:

4x^2 - 20x + 16

Step-by-step explanation:

4x^2 - 4x - 16x + 16

4x^2 - 20x + 16

The solution of given system of linear equations is x = 3.6 and y = 2.5.

A "system" of equations is a collection of equations that you answer all at once. Ax + By + C = 0, where A and B are the coefficients and C is the constant, can be used to describe a linear equation. Non-linear equations are more difficult to comprehend than linear equations.

Solving the equations,

5x +4y = 8

10x − 4y = 46

Adding the above equations, we get

5x + 10x + 4y - 4y = 8 + 46

15x=54

Dividing by 15,

x = 3.6

Now, putting the value of x in second equation,

10(3.6) - 4y = 46

36 - 4y = 46

4y = -10

Dividing by 4, we get

y = -2.5

Therefore, the solution of given system of linear equations is x = 3.6 and y = 2.5.

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a. Using the Pythagorean Theorem, side c = 150 feet

b. Area = 5,400 ft²

c. Applying the converse of the Pythagorean Theorem, the triangle would be a right triangle if the sum of the squares of two sides equals the square of the other side.

The converse of the Pythagorean theorem states that if the sum of the squares of the two smaller sides of a triangle is equal to the square of the longer side, then the triangle is a right triangle.

a. Apply the Pythagorean theorem:

c = √(a² + b²)

c = ?

a = 90 feet

b = 120 feet

Substitute

c = √(90² + 120²)

c = 150 feet

b. Area = 1/2(a)(b) = 1/2(90)(120)

Area = 1/2(10,800)

Area = 5,400 ft²

c. Using the converse of the Pythagorean Theorem, we can check if the sum of the squares of two sides equals the square of the other side.

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Answer:

3c

3c mean 3xc

but just write 3c

The summation of 10 yards line and 15 yard is 25 yards and the ball represents zero situation when the ball is in net and goals.

Given,

The team receives the ball on their own yards = 10 yards.

that is,

initial position of the ball = 10 yards.

Using summation, (the summation is to add or subtract any two numbers or more terms by doing operation, to get answer).

They make a gain of 15 yards in the first play.

Their final position in 10 yards plus 15 yards

= 10 + 15

=25 yards.

Therefore, the yard line is 25 yards.

The zero situation of the game is when the ball is in net and the player make a goal.

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Answer:

y=3x-2

Step-by-step explanation:

y is for how many miles she wants to walk which is 6. she walks 3 miles per hour which is 3x (x is for hours) and -2 because she already walked 2 miles

1st image

angle 5 is 31 degrees alternate interior angles

2nd image

angle8=angle9, alternate interior angles

The function has a maximum value of 30 at x = 3.

Given Function:

f(x) = -3[tex]x^{2}[/tex]+18x+3

here a = -3 , b = 18 , c = 3

a is negative so it has maximum value

x = -b/2a

= -18/2*(-3)

= -18/-6

= 18/6

= 3

f(x) = -3*[tex]3^2[/tex] + 18*3 + 3

= -3*9+54+3

= -27+54+3

= 27+3

= 30

Therefore the function has a maximum value of 30 at x = 3.

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The values of x and y are 3 and 4.

Given:

shows an equilateral triangle with the lengths of its sides given in terms of x and y.

A 4x cm B 3y cm C (x + y + 5) cm

In equilateral triangle all sides are equal:

4x = 3y = x+y+5

4x = 3y

4x - 3y = 0.                            ---------eq(1)

4x = x + y + 5

3x - y = 5.                              ----------eq(2)

solving eq 1  -  eq 2*3 we get,

4x - 3y - 9x + 3y = 0 - 15

-5x = -15

x = 3

4x - 3y = 0

4*3 - 3y = 0

12 = 3y

y = 12/3

y = 4

Therefore The values of x and y are 3 and 4.

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The probability a dry day is followed by a light rain day is 0.07.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

Given.

Here, the markov chain's three possible states are listed as dry, light rain, and wet.

From the second number in the first row, the chance of a dry day followed by a light rain is calculated as follows: P(dry⇒ light) = 0.01.

Therefore, the necessary probability in this case is 0.01.

We currently have (wet⇒ light) - 0.07

Therefore, the necessary probability in this case is 0.07.

The probability a dry day is followed by a light rain day is 0.07.

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The probability that at least 9 out of 10 solar-heat installations will succeed and reduce the utility bill is 0.0464.

What is a binomial distribution?

The probability distribution known as the binomial distribution, which is used in statistics, quantifies the chances that a value will take one of two independent values given a particular set of conditions or hypotheses.

Formula to calculate the binomial distribution

P(X = x) =ⁿCₓ× pˣ×(1-p)ⁿ⁻ˣ

Here, we know that

Solar-heat installations successfully reduce the utility bill 60% of the time.

We have to calculate the probability that at least 9 out of 10 solar-heat installations will succeed and reduce the utility bill.

We have 60% = 0.6 = p and n = 10.

We have a binomial distribution: X : (10, 0.6).

We use the binomial distribution formula to calculate the probability

P(X = x) =ⁿCₓ× pˣ×(1-p)ⁿ⁻ˣ, we get

P(x ≥ 9) = 1 - P(x < 9)

P(x ≥ 9) = 1 - P(x ≤ 8)

P(x ≥ 9) = 1 - ∑⁸₀ P(x = x)

P(X ≥ 9) = 1 - ∑⁸₀¹⁰Cₓ × (0.6)ˣ × (1-0.6)¹⁰⁻ˣ

P(X ≥ 9) = 1 -( 0.00011 + 0.00157 + 0.01062 + 0.04247 + 0.11148 + 0.20066 + 0.25082 + 0.21499 + 0.12093)

P(X ≥ 9) = 1 -0.95365

P(X ≥ 9) = 0.04635

Hence, the probability that at least 9 out of 10 solar-heat installations will succeed and reduce the utility bill is 0.0464.

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The Probability that someone holds b.s. degree if it is known that he or she earns more than $100,000 is 0.75.

Considering the values given in the question,

P(earns more than $100000 without college education) = 0.2

P(earns more than $100000 with a B.S. or higher degree) = 0.6

P(Has a B.S. degree) = 0.5

P(earns more than $100000) = P(earns more than $100000 | without college education) × P(without college education) + P(earns more than $100000 | with a B.S. or higher degree) × P(has a B.S. degree)

= 0.2 × (1 - 0.5) + 0.6 × 0.5

= 0.4

P(at least a B.S. degree | earns more than $100,000) = P(earns more than $100000 | with a B.S. or higher degree) × P(has a B.S. degree) / P(earns more than $100000)

= 0.6 × 0.5 / 0.4

= 0.75

Therefore, If a person's income above $100,000 is known, there is a 0.75  probability that they have at least a b.s. degree.

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Answer:

  no

Step-by-step explanation:

You want to know if side lengths 26 in, 36 in, 46 in form a right triangle.

The integer side lengths will form a right triangle if they are a Pythagorean triple, or a multiple of one.

We notice that these side lengths have a common difference of 10 in. That makes them an arithmetic sequence. The only Pythagorean triples that are an arithmetic sequence are {3, 4, 5} and its multiples. The shortest side is 3 times the common difference.

The lengths {26, 36, 46} cannot form a right triangle. The attachment shows the triangle is an obtuse triangle.

No, the triangle is not a right triangle.

__

Additional comment

The side lengths will form a right triangle if and only if they satisfy the relation a² +b² = c², where a, b are the two short sides.

  26² +36² = 1972 ≠ 2116 = 46²

Answer:

D

Step-by-step explanation:

there are no restrictions on the domain and

- ∞ < x < ∞

That is the domain is all real numbers

Answer:

2/5

Step-by-step explanation:

flip 5/6 to become 6/5 then cross reduce then cross multiply

By algebra properties, the resulting expression of the power 2⁴⁰ is (2⁸)⁵.

In this problem we must rewrite a power expression in terms of the power 2⁸, which is the base of the resulting expression. This can be done by applying algebra properties:

Step 1 - Write the original expression presented in the statement.

2⁴⁰

Step 2 - By definition of multiplication between real numbers.

2⁽⁸⁾⁽⁵⁾

Step 3 - By the definition of the power of a power.

(2⁸)⁵

The resulting expression is (2⁸)⁵.

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Answer:

1

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

x = - 7 , x = 10

Step-by-step explanation:

(x - 10)(x + 7) = 0

equate each factor to zero and solve for x

x - 10 = 0 ⇒ x = 10

x + 7 = 0 ⇒ x = - 7

Answer: the slope is unidentified

Step-by-step explanation:

The probability that a compact car's randomly chosen mpg would be higher than 30 is 0.797.

Given data;

A certain compact car's mpg (miles per gallon) has a mean of 31 and a standard deviation of 1.2 and is regularly distributed.

We need to get the probability that the mpg for a randomly selected compact car would be more than 30.

Therefore;

Mean = μ = 31

Standard deviation = σ = 1.2

Let;

P(X > 30) = P(X - 31/1.2 > 30 - 31/1.2)

               = P(Z > -0.833)

               = 0.797

Hence, the probability that the mpg for a randomly selected compact car would be more than 30 is 0.797.

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The value of x by setting up equation is 16.

Given in question,

∠VZW = (2x + 32)°

∠RZY = (3x + 16)°

∠VZW = ∠RZY

2x + 32 = 3x + 16

2x - 3x = 16 - 32

        -x = -16

         x = 16

Hence, x = 16.

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The probability that of getting more than two heads is 0.9537.

The probability of precisely x successes per n repeated trials is known as a binomial probability, and X has only two possible outcomes.

P(X = x) = Cn,ₓ.pˣ(1 - p)ⁿ⁻ˣ   ...eq 1

Where  Cn,ₓ represents the number of distinct combinations of x items drawn from a group of n elements, as determined by the formula below.

Cn,ₓ = n!/x!(n - x)!

Where p is the likelihood that anything will happen.

10 appeals are necessary; n = 10.

Because 40% of appeals are successful; p = 0.4.

For the probability of getting at least two heads.

P(X ≥ 2) = 1 - P(X < 1)

P(X < 2) = P(X = 0) + P(X = 1)

Put the values in eq 1 and get the values for X.

P(X < 2) = 0.006 + 0.0403  = 0.0463

Now,

P(X ≥ 2) = 1 -  0.0463

P(X ≥ 2) = 0.9537

Thus, the probability that of getting more than two heads is 0.9537.

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The total number of times the dice will land on 1 or on 5 is 153.

What is probability?

All of the probabilities will add up to 1. This gives us the equation.

P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = 1

P(1) + 0.17 + 0.08 + 0.16 + 0.14 + 0.1 = 1

P(1) + 0.65 = 1

P(1) = 1 - 0.66

P(1) = 0.35

We now need to find the probability of 1 or 5.

P( 1 or 5) = P(1) + P(5)

= 0.35 + 0.16

= 0.51

We now use the predicting outcomes formula

Expected = P( 1 or 5) * No. of times

= 0.51 * 300

= 153

Hence, the total number of times the dice will land on 1 or on 5 is 153.

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