Which of the following is a diagonal matrix?
O
2
0
0 -42
0
0
1
6
0
0
16 -7.5
0
0
3.5 -18
0 9
-4
0
0
0
-22 0
0 7.5
0
0 7.5
0-22 0
Mark this and return
Save and Exit
4

It is true that the polynomial is divisible by 6

From the question, we have the following polynomial that can be used in our computation:

Polynomial = x^3+15x^2+74x+120

Divisor = 6

Rewrite the given parameters as

P(x) = x³ +15x² + 74x + 120

x = -6

Substitute x = -6 in the equation P(x) = x³ +15x² + 74x + 120

P(-6) = (-6)³ +15(-6)² + 74(-6) + 120

Evaluate

P(-6) = 0

because the result is 0, the polynomial is divisible

Read more about polynomial at

https://brainly.com/question/4142886

#SPJ1

The probability that heads would be obtained 15 or fewer times when this coin is flipped 25 times is 0.37

Given:

P = 0.65

1-P = 1-0.65 = 0.35

n = 25

x = 15

The number of favorable outcomes to all possible outcomes of an event is the ratio, which is known as probability. The number of good outcomes can be represented by the symbol x for an experiment with 'n' number of outcomes. The following equation can be used to determine an event's probability.

Favorable Results/Total Results = x/n, where Probability(Event)

using binomial distribution:

P(X = x )  = ⁿCₓ (P)ˣ (1-P)ⁿ⁻ˣ

∴ Heads obtained 15 or fewer times

P(X ≤ 15)

we use exceed formula:

P(X≤15) = BINOM DIST(15,25,0.65,FALSE)

= 0.3696920

≈ 0.37

Hence we get the required answer.

Learn more about Probability here:

brainly.com/question/25870256

#SPJ4

The percent change for the expression for the given rational number is 28%.

As the stated question-

Original quantity = 175

New quantity = 126

Difference = Original quantity - New quantity

Difference = 175 - 126

Difference = 49

Percentage change = Difference/Original quantity x 100 %

Percentage change =49/175 x 100%

Percentage change = 28%

Thus, percent change for the expression for the given rational number is 28%.

To know more about the percent change, here

https://brainly.com/question/809966

#SPJ4

Answer: $83.35

Step-by-step explanation:

Find 15% of 72.48 = 10.87

10.87 + 72.48 = 83.35

x² = 9 + -2.25y² + 0.25z² provides a parametric representation of the upper half of the ellipsoid in spherical-like coordinates.

Given,

In response to our inquiry:

Add "-9y²" to each side of the equation.

4x² + 9y² + -9y² + -1z² = 36 + -9y²

9y² + -9y² = 0 when equivalent phrases are combined.

4x² + 0 + -1z² = 36 + -9y²

4x² + -1z² = 36 + -9y²

Add "z²" to both sides of the equation.

4x² + -1z² + z² = 36 + -9y² + z²

Therefore,

x² = 9 + -2.25y² + 0.25z² provides a parametric representation of the upper half of the ellipsoid in spherical-like dimensions.

Learn more about ellipsoid here;

https://brainly.com/question/29650769

#SPJ4

You are writing an article for your school newspaper about the Oakland Athletics.  Season tickets go on sale next week and you have been assigned to write an article to help fans determine whether they should buy season tickets or single-game tickets based on their expected attendance at the games this season.

Buying a season ticket allows you to attend all 81 home games for a single price.  Without a season ticket you have to pay for every single game that you attend.

Image result for Oakland Athletics Tickets Box Office

The table shows different ticket price options.

In this task you will answer six questions about the ticket price options and recommend which is best for fans. Be sure to show all your work for each item.

1. A season has 81 home games. If you purchase a season ticket in the bleacher section , what is the cost per game, in dollars for this ticket?

.2. Complete the table based on the single game ticket for seats in the Left field reserve section.

Step-by-step explanation:

The key role for CPS is to minimize stigma and be an ambassador for recovery. Describe a situation where you had to confront stigma

The solution to f(x) = g(x) is

x = 0

x = 1

What do you mean by a solution?

We can substitute a value, or values, for a variable (such as x), making the equation true and thus finding a solution. All values of x in the domain, such that f(x) = g, are the solutions if two functions, f, and g, both map to the same co-domain.

as in: x + 2 = 7.

5 + 2 = 7 is what we get when we substitute 5 for x.

Given that 5 + 2 = 7, x = 5 is a solution.

Solution Explained:

A set of values in the table that tell us what the values of each function f(x) and g(x) are for a given value for the variable "x" is already giving us a hint.

We can infer from the table that f(x) decreases when x>0 and moves in the opposite way when x0.

G(x) follows a distinct path; it grows as x increases and shrinks as x lowers.

As a result, there is not much room for equality between the two functions.

You can thus utilize the points shown in the table to begin your test.

f(0)= 0,25 ^ 0=1 since a number raised to 0 is always 0.

g(0)=-0.75 * 0 + 1 = 1

f(1)=0.25^1=0.25 since a number raised to 1 is always equals to itself

g(1)=-0.75*1+1=0.25

So f(x)=g(x), when x=1 and when x=0

To learn more about a solution, use the link given
https://brainly.com/question/25785824
#SPJ4

The answers are 285 and 7392.

The required list of the ordered pairs for 1, 2, 3, and 4 servings as (1, 16), (2, 32), (3, 48), (4, 64).

An ordered pair is made up of two components isolated by a comma and put inside parentheses. (x, y) indicates an ordered pair, where 'x' is the first component and 'y' is the second component in the ordered pair.

One serving of a fruit punch recipe serves 16 people.

As per the given question, the required solution would be as:

1 x 16 = 16 ⇒ (1, 16)

2 x 16 = 16 ⇒ (2, 32)

3 x 16 = 16 ⇒ (3, 48)

4 x 16 = 16 ⇒ (4, 64)

Thus, the required list of the ordered pairs for 1, 2, 3, and 4 servings as (1, 16), (2, 32), (3, 48), (4, 64).

Learn more about the set of ordered pairs here:

https://brainly.com/question/10197233

#SPJ1

Answer:

-4x^2 - 6x

Step-by-step explanation:

2x(-2x-3)

Use the distributive property to multiply 2x by -2x - 3.

-4x^2 - 6x

Answer: C

Step-by-step explanation:

The graph is going up not going down so it can't be a negative slope and we can eliminate choices B & D. We know that the slope is rising over run, and we see that the y increase by 3, and x increase by 1, so the slope is 3/1.

Answer:

one way is that they both have four sides.

another way is that they both have straight lines.

and the other way is that they both have 4 corners.

Step-by-step explanation:

Answer:

According to the web: "A square has four equal sides. In a rectangle, the opposite sides are equal. The diagonals of a square bisect each other at 90°. The diagonals of a rectangle bisect each other at different angles."

Step-by-step explanation:

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

The integral of f (z) around the positively oriented circle |z| = 3 is equal to 2πi times the sum of the residues of the poles of f (z) inside the circle.

The poles of f (z) inside the circle are z = 0 and z = −1/2.

The residue at z = 0 is f (0) = 0.

The residue at z = −1/2 is f (−1/2) = −7/16.

Therefore, the integral of f (z) around the positively oriented circle |z| = 3 is equal to 2πi (−7/16) = −7πi/8.

Learn more about integral  here

https://brainly.com/question/22008756

#SPJ4

-3(x-4)=-9(x-1)

-3x+12=-9x+9

-3x+9x=9-12

6x=-3

x= -3/6

x=-1/2

Answer:

Below

Step-by-step explanation:

shaded area is 3 out of 4     or   3/4    which is .75   which represents 75%

Answer:

1.8 inches

Step-by-step explanation:

The necessary explanation is that segment BP is congruent to segment BP, which is the common side of both triangles.

Two figures or items are congruent in geometry if they have about the same size, or if one has the same shape and size as its mirror counterpart.

As seen in the illustration, segment BP and segment BP are congruent since segment BP is the common side of both triangles BPS and BPY.

As a result, the necessary explanation seems to be that segment BP is congruent to segment BP and that segment BP is the identical side of both triangles.

Learn more about congruent geometry here:https://brainly.com/question/20154762

#SPJ4

Answer: A

Step-by-step explanation: If the melting point of Bromine is 19 degrees and the melting point of mercury is 57 degrees less than that then x (which is mercury's melting point) plus 57 degrees will equal 19.

a) The expression that shows how many miles Mrs. Ardoin has gone after x hours is of: s(t) = 15t.

b) Mrs. Thomason has been kayaking for x + 1/3 hours.

c) The expression that shows how many miles Mrs. Thomason has gone after Mrs. Ardoin has been riding for x hours: s(t) = 9t + 3.

d) They will meet after half an hour.

The linear functions for the position are defined as follows:

s(t) = vt + s(0).

In which the variables are given as follows:

Mrs. Ardoin is boating at a constant speed of 15 miles per hour, hence his equation is of:

s(t) = 15t.

Mrs. Thomason has been kayaking for a third of an hour more than Mrs. Ardoin, at a rate of 9 miles per hour, hence his initial position is of:

s(0) = 1/3 x 9 = 3 miles.

Thus the equation is of:

s(t) = 9t + 3.

They will meet when:

15t = 9t + 3

6t = 3

t = 0.5.

Hence after half an hour.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

The value of g is g = w² - 14w + 49, according to the question.

What do you mean by formula?

A truth or a rule expressed using mathematical symbols is the formula. An equal sign is typically used to connect two or more values. When you are aware of the value of one quantity, you can use the formula to determine the value of the other. It facilitates speedy question resolution. Formulas are used in algebra, geometry, and other subjects to speed up and simplify the process of arriving at the result.

According to the given question,

We have :

w = 7 - √g

Firstly isolate the g,

w = 7 - √g

Do the opposite of PEMDAS, first subtract 7 from both sides,,

w (-7) = -√g + 7 (-7)

w - 7 = -√g

Now, multiply -1 (as -√g is the same as -1√g) to both sides

-1(w - 7) = √g

-1w + 7 = √g

To get rid of the square root, you must square both sides,

Note: -1w is the same as -w.

Note: you are squaring all the terms on the other side, not just one.

(-w + 7)² = (√g)²

g = (-w + 7)²

g = (-w + 7)(-w + 7) (note, this can be the answer your teacher wants, or                                            g = (-w + 7)²    )

Use the FOIL method (First, Outside, Inside, Last)

(-w)(-w) = w²

(-w)(7) = -7w

(7)(-w) = -7w

(7)(7) = 49

g = w² - 7w - 7w + 49

Then, simplify (combine all like terms):

g =w² - 7w - 7w + 49

g = w² - 14w + 49

Therefore, the value of g = w² - 14w + 49 .

To learn more about formula, visit:

https://brainly.com/question/1293486?referrer=searchResults

#SPJ4

If John and Sam insist on sitting next to each other, there are 48 different ways we can make a round table seat six people.

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations. An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order.

Here,

There is no head of the tabel so the first person is just a place marker so there are really only 5 people whose positions matter.

But John and sam are tied together so thet are the equaivalent of one person.

so that is only 4 people.

4!*2 (because it could be john, sam or sam, john)

2*3*4*2 = 48 permutations

In 48 ways we can make seat 6 people at a round table if john and sam insist on sitting next to each other.

To know more about permutations,

https://brainly.com/question/1216161

#SPJ4

The slope of a line parallel to the line having equation 10x+12y=-120 is -5/6.

What is the slope of a line parallel to another line?

Parallel lines are coplanar and they never intersect.

Slope is a measure of the angle of a line from the horizontal.

Since parallel lines must have the same angle, then parallel lines have the same slope — and lines with the same slope are parallel.

According to the given question:

Given equation of line is 10x+12y=-120

Converting this to slope-intercept form we get

y = -5/6 x + 10

Clearly slope of this line is -5/6

Any line parallel to this line will have the same slope

Therefore the slope of a line parallel to the given line is -5/6

To know more about parallel line visit

https://brainly.com/question/13228195

#SPJ1

Answer:

6 eggs

Step-b6y-step explanation:

18 - (18× 2/3) = 6

●●●●●●/●●●●●●/○○○○○○

2x3 mixed factorial design is the correct classification of this design.

In the given question, we have to find which is the correct classification of this design.

Three subgroups can be identified within this clinical grouping, though there are no clear divisions between them. The first category includes instances that closely resemble anorexia nervosa or bulimia nervosa but fall short of the diagnostic criteria's cutoff point.

Cases where the characteristics of AN and BN occur in various combinations from those seen in the prototypic illnesses make up the second and largest class.

Those who suffer from binge eating disorder make up the third grouping.

So, 2x3 mixed factorial design is the correct classification of this design.

To learn more about sample link is here

brainly.com/question/11045407

#SPJ4

The right question is given below:

Answer:

b = 20

Step-by-step explanation:

the variables a and b are proportional , so the equation relating them is

a = kb ← k is the constant of proportion

to find k use the condition a = 12 , b = 3

12 = 3k ( divide both sides by 3 )

4 = k

a = 4b ← equation of proportion

when b = 5 , then

a = 4 × 5 = 20

Answer: just use the internet

Step-by-step explanation:

boom yo answer

the error bound for the mean U.S. household income is +/- $234, while the point estimate is $63179.

A yearly census identical to the one performed every ten years is conducted by the American Community Survey (ACS), a division of the United States Census Bureau, but with a lower participation rate. Since the most recent poll has high confidence that the mean household income in the United States is between, the point estimate for that income is $63179, and the error bound is +/- $234.

Learn more about mean here

https://brainly.com/question/15323584

#SPJ4

The population variance of the capacities is 30.76

the capacities (in ampere-hours) of 10 batteries are 140, 136, 150, 144, 148, 152, 138, 141, 143, 151.

The number of observations n = 10

mean = (x₁ + x₂ + x₃.....x₁₀)/10

mean = (140 + 136 + 150 + 144 + 148 + 152 + 138+ 141 + 143 + 151)/10

mean = 1443/10 = 144.3

variance = ∑(x - mean)²/(n - 1)

variance = ((140 - 144.3)² + (136 - 144.3)² + (150 - 144.3)² + (144- 144.3)² + (148 - 144.3)² + (152 - 144.3)² + (138 - 144.3)² + (141-144.3)² + (143 - 144.3)² + (151 - 144.3)²)/(10 - 1)

variance = 276.9/9 = 30.76

Therefore, the population variance of the capacities is 30.76

To learn more about variance refer here

https://brainly.com/question/25639778

#SPJ4