3. In addition to the information given in the drawing, which statement is sufficient to prove PORS is a parallelogram? P Q N T S R A. QR = SP B. QP = SR C. Vis the midpoint of PR D. ZOPR ZSRP Ging Wilson (All Things Algebra LLC).201​

Answer:

1,000 pencils  

Step-by-step explanation:  

First, there are 10,000 cents in $100.  

So divide 10,000 by 10.  

1,000.

I hope this helps!  

pls ❤ and mark brainliest pls

The question above is incomplete.

Complete Question

Michael keeps dogs, cows, cats and kangaroos as pets. He has 24 pets in total and 1/8 of them are dogs, 3/4 are not cows and 2/3 are not cats. How many kangaroos does Michael keep?

Answer:

7 kangaroos

Step-by-step explanation:

Total number of pets = 24

Fraction representing total number of pets = 1

Step 1

Number of dogs =

Fraction representing dog = 1/8

1/8 × 24 = 3

He has 3 dogs

Step 2

Number of cows =

From the question, we are told that 3/4 are not cows

Therefore, the number of cows he has =

1 - 3/4 = 1/4

The fraction representing cows = 1/4

Hence the number of cows he has =

1/4 × 24 = 6 cows

Step 3

From the question, we are also told that

2/3 are not cats

The fraction representing the number of cats he has=

1 - 2/3 = 1/3

Therefore, the number of cats he has =

1/3 × 24 = 8 cats.

Step 4

How many kangaroos does Michael keep?

We are asked, how many kangaroos he keeps.

Total numbers of pets = Number of dogs + Number of cows + Number of cats + Number of kangaroos

24 = 3 + 6 + 8 + Number of kangaroos

Number of kangaroos = 24 -(3 + 6 + 8)

= 24 - 17

= 7

Therefore, the number of kangaroos that Michael has is 7 kangaroos

Answer:

y = -2x - 7

Step-by-step explanation:

y = mx + b

m = slope = -2

b = y-int. = -7

Plug them in, you get y = -2x - 7

Answer:

Al real numbers except 4/3

Answer:

x = 7

Step-by-step explanation:

The given equation is 4x - 2(x + 3) = 8. We need to find the value of x. The steps are as follows :

Firstly opening the bracket on the LHS,

4x -2x-6 = 8

Adding like terms together. So,

2x = 8+6

2x = 14

x = 7

So, the value of x is 7. Hence, the correct option is (d).

Answer:

\(\huge\boxed{\sf Length = 13, \ \ Width = 7}\)

Step-by-step explanation:

Let the length of rectangle be x and width be y.

x = 2y - 1 --------------(1)

2x + 2y = 40

2(x + y) = 40

x + y = 40/2

x + y = 20 -----------(2)

2y - 1 + y = 20

2y + y - 1 = 20

3y - 1 = 20

3y = 20 + 1

3y = 21

y = 21/3

x = 2(7) - 1

x = 14 - 1

So,

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

Given Line equation is 4x+3y=12 and point (3,4)

Given condition two line are parallel

Parallel means two straight lines having same slope.

From the above condition we can use "point-slope"  equation.

\(y-y_{1} =m(x-x_{1} )\)    

From the given line equation we can find slope easily.

We can rewrite the line equation as \(y=-\frac{4}{3} x+4\)

We can compare the above equation as  y=mx+b

slope \(m=-\frac{4}{3}\) and point \((x_{1} ,y_{1} )\)=(3,4) submit in slope-point equation.

Becareful while submit point in the slope point equation.

Note:(Many students do mistakes while submitting point.

\(y-4=-\frac{4}{3}(x-3)\)

solve and get the answer

Equation of line is 4x+3y=24

The culture change movement in healthcare is a movement that emerged in the United States during the late 1980s and early 1990s.

This movement is founded on the belief that care for the elderly should be more personalized, be provided in an atmosphere that feels like home, and take into account the individuality and personal preferences of the elderly person. The three core principles of the Culture Change movement are as follows:1. Person-centered care.

Person-centered care is one of the core principles of the culture change movement in healthcare. Person-centered care involves treating individuals with dignity and respect, recognizing their individuality, and offering personalized care to meet their unique needs and preferences. Person-centered care also includes giving individuals a say in their care and making sure that they have the ability to make informed choices about their care.

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Answer: We can use the following equation to solve for x, the number of minutes it takes for the pool to be empty:

48 - (3x) = x

Simplifying and solving for x, we get:

48 - 3x = x

48 = 4x

x = 48/4

x = 12

Therefore, the pool will be empty after 12 minutes.

Step-by-step explanation:

a) i) The variable of interest is a binomial variable with p = 0.005 and n = 52.

ii) The probability that a particular employee receives at least one gift card in a 52-week year is of 0.2295 = 22.95%.

b) The expected number of gifts that each employee should receive during a year is of: 0.26.

c) Considering the above expected value, Agatha does not have a strong argument that the selection process was not truly random.

For each employee, there are only two possible outcomes, either they get a gift, or they do not, hence the binomial distribution is used to describe the variable.

Each of the company’s 200 employees is equally likely to be selected each week, hence the parameter p is given as follows:

p = 1/200 = 0.005.

The year has 52 weeks, hence the parameter n is given as follows:

n = 52.

The probability of winning no cards is of:

P(X = 0) = (1 - 0.005)^52 = 0.7705.

Hence the probability of at least one gift is of:

P(X > 0) = 1 - P(X = 0) = 1 - 0.7705 = 0.2295.

The expected value is calculated as follows:

E(X) = np = 52 x 0.005 = 0.26.

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The measure of the segment xy of the given right angle triangle is; 36 units

This question can be best understood if the trigonometric ratios are briefly highlighted since it has been used in the question. Cos f is given as 4/9. We know that the cos of an angle is derived as the adjacent divided by the hypotenuse. In other words, the cosine of angle f is given as;

Cos f = Adjacent / Hypotenuse

Thus;

Cos f = 4/9

From the triangle shown in the attachment, the adjacent is XW while the hypotenuse is XY. Hence, the adjacent is 16 units and the hypotenuse is unknown. Since the measurements given in the question are a ratio of the original dimensions, the relationship can be expressed as follows;

4/9 = 16/XY

Where XY is the unknown side

By cross multiplication, you now arrive at,

4XY = 9 * 16

XY = 144/4

XY = 36

Therefore, XY measures 36 units

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The solution for 3 on the interval [0, 2) is 3 = π/6, 13π/6 or 30°, 390°.

To solve for 3 from sin(3) = 1/2 on the interval [0, 2), we need to use the inverse sine function (arcsin) and solve for the angle whose sine is equal to 1/2.
arcsin(1/2) = 30° or π/6 radians
Since the interval is [0, 2), we need to add 2π to the angle if it is less than 0 or greater than or equal to 2π.
So, the solution for 3 on the given interval is:
3 = π/6 or 30°, or
3 = π/6 + 2π = 13π/6 or 390°
Therefore, the solution for 3 on the interval [0, 2) is 3 = π/6, 13π/6 or 30°, 390°.

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Hi! here your answer

Answer:

If D≥0, then the roots are real and distinct.

If D=0, then the roots are real and equal.

If D≤0, then no real roots exist

Hope you understood!

Answer: B and D

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The area is given by the formula in the problem statement:

  A = 1/2bh

  A = 1/2(7x +3)(7x +3) = 1/2(49x^2 +42x +9)

The area is (49/2)x^2 +21x +9/2 . . . square feet.

__

When x=11, the area is ...

  A = (1/2)(7·11 +3)^2 = 1/2(80^2) = 3200 . . . . square feet

_____

Comment on the problem statement

Area is measured in square feet, not cubic feet.

Answer:

I think -3x-17 sorry if wrong

Step-by-step explanation:

8x+ 32= 5x+15

-3x-17

Answer:

\(8(x + 4) = 5(x + 3) \\ 8x + 32 = 5x + 15 \\ 32 - 15 = 8x - 5x \\ \)

-3x-17

Answer: 52(4x+8) in simplified form is 208x + 416.

Step-by-step explanation:

To simplify 52(4x+8) we need to first use the distributive property, which states that:

a(b+c) = ab + ac

So, we can rewrite 52(4x+8) as:

52 * 4x + 52 * 8

Now we can just multiply the numbers:

52 * 4x = 208x

52 * 8 = 416

so the expression simplifies to:

208x + 416

So, 52(4x+8) in simplified form is 208x + 416.

The polynomial which is not equivalent to (5x – 2)(-2x + 4) is -10x + 20x + 4x – 8 and is therefore denoted as option A.

This is referred to as a type of algebraic expression in which the exponents of all variables should be a whole number.

(5x – 2)(-2x + 4) when expanded will give:

-10x² + 20x + 4x – 8 which can be rewritten as the following below:

This is therefore the reason why -10x + 20x + 4x – 8 was chosen as the correct choice.

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The options are:

A) -10x + 20x + 4x – 8

B) 4x + 20x – 10x2 – 8

C) -8 + 24x – 10x2

D) -10x2 + 24x – 8

Characteristic polynomial of the matrix \(p(x) = (x+1)(x-2)^2\)

For the matrix [8 -4 0 -4], the characteristic polynomial is found by taking the determinant of the matrix [8-x -4 0 -4; 0 8-x -4 0; 0 0 8-x -4; 0 0 0 8-x] and simplifying it. This results in p(x) = \((x-8)^4\).

For the matrix [3 0 4 -3 -4 -1 0 -1 0], the characteristic polynomial is found by taking the determinant of the matrix [3-x 0 4; -3 -4-x -1; 0 -1 -x 0;] and simplifying it. This results in \(p(x) = (x+1)(x-2)^2\).

The determinant of the matrix (A - lam*I), where I is the identity matrix of the same size as A, is found by computing the characteristic polynomial of a square matrix A, represented by P(lam), which is a polynomial function of a scalar variable lambda. We refer to the eigenvalues of the matrix A as the roots of the characteristic polynomial. Important details about the matrix, including its diagonalizability, rank, trace, and determinant, are revealed by the characteristic polynomial. It frequently appears in applications like systems of linear equations, differential equations, and linear transformations.

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Answer:

The value of the car will be

4450.15

Step-by-step explanation:

we know that

11.75%=11.75/100=0.1175

so Let

x-----> the value of the car after 11 years

X=17600(1-0.1175)11=4450.15

Step-by-step explanation:

The 95% confidence interval for the difference between the proportion of the population who would survive at least 15 years can be used to estimate the range within which the true difference lies.

It provides a measure of uncertainty around the point estimate. The confidence interval can be interpreted as follows: we are 95% confident that the true difference in proportions of the population who would survive at least 15 years falls within the calculated interval. To construct the confidence interval, we first need to obtain sample data from the population. Let's assume we have collected data from two independent samples. From Sample 1, we find that out of n1 individuals, x1 survive at least 15 years. Similarly, from Sample 2, we have n2 individuals, with x2 surviving at least 15 years. To calculate the confidence interval, we use the formula: CI = (p1 - p2) ± Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)) Where p1 = x1 / n1 and p2 = x2 / n2 are the sample proportions, and Z is the critical value corresponding to the desired confidence level (in this case, 95%). The critical value is determined based on the standard normal distribution. Once we have the confidence interval, let's say [lower limit, upper limit], we can interpret it as follows: We are 95% confident that the true difference in proportions between the two populations who would survive at least 15 years lies between the lower limit and the upper limit. In other words, there is a high likelihood that the actual difference falls within this range. The confidence interval allows us to make inferences about the population based on our sample data. It provides a range of plausible values for the difference in proportions, taking into account the variability of the sample. The wider the confidence interval, the greater the uncertainty in our estimate. Conversely, a narrower interval indicates a more precise estimation.

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Answer:

99,290

Step-by-step explanation:

99,200 + 10(18/2)

= 99,200 + 10(9)

= 99,200 + 90

= 99,290

50 percent of the students scored between 469 and 569 on the exam.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

\(\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}\)

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

It is given that, the scores of students in a statistics course are normally distributed with a mean of 469 and a standard deviation of 50.

We have to find the percentage of the students who scored between 469 and 569 on the exam,

The Z value is,

Z = (569-469)/50

Z=2

Thus, 50 percent of the students scored between 469 and 569 on the exam.

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The sale price of a bottle of perfume is $40.16 if its original price was 50.07%.

What is discount?

By paying a charge or fee, a debtor might purchase the right to postpone payments to a creditor for a predetermined length of time through the financial mechanism known as discounting. In essence, the party who is currently owing money purchases the right to postpone payment until a later time.

Let the original price of the perfume bottle is, $50.07

The sale on the cosmetics is 19.8%.

So, the discount on the perfume bottle is,

50.07 x 0.198 = 9.91368

Therefore, the sale price of perfume is,

$50.07 - $9.91368 = $40.15614

Hence, the sale price of perfume is, $40.16

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Answer:

$17

Step-by-step explanation:

initial cost + hourly rate (number of hours)

$5 + $3 x 4

$5 + $12

= $17

Answer: About 3 nails is correct on grad point

Step-by-step explanation:

Using cumulative density function of normal distribution, we find that out of 120 nails with a mean length of 5.00 inches and standard deviation of 0.03 inches, approximately 3 nails are less than 4.94 inches.

Cumulative density function gives the probability of finding the random variable at a value less than or equal to a given cutoff, i.e., P(X ≤ x).

To find the CDF of X ∼ N (μ,σ²), we can write

\(F_{X} (x) =P(X < =x) = P(Z < = \frac{x - \mu}{\sigma} )\\\)

=Φ((x−μ)/σ)

Given,

x = 4.94

μ = 5

σ = 0.03

P(X <= 4.94) = Φ\((\frac{4.94-5}{0.03})\) = Ф(-2) = 0.022750132 (using excel function norm.s.dist)

2.27% nails are less than 4.94 inches long.

To calculate the number of nails in sample of 120 that are less than 4.94 =

2.27% of 120 = 2.73 ~ 3

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The solution for the given equation has no solution due to the reason that square root are always positive.

For this equation simplification can be applied 6cos(30)-9=-12
= 6cos(30)
=-3.
Then solutions for this equation on the interval of [0, 360] are 150° and 210°.
To elaborate how we got these solutions, we first have to know that
cos(30) = √3/2.
Staging this value in the equation
6 × √3/2 - 9
= -12
Applying Simplification
3√3 - 9 = -12
3√3 = -12 + 9
3√3 = -3
√3 = -1

Since it is not possible because the square root of any number is always positive. Then, there are no solutions for this equation.
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Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

Answer:

3x³ + 12x

Step-by-step explanation:

3x(x² + 4)

3x³ + 12x