Multiply polynomials
HELP I NEED THIS ASAP

Answer:

720

Step-by-step explanation:

first, to figure out the side lengths you do 12*10 = 120 then 120*6 = 720 (because those sides are all equivalent)

In square, all angles are of 90°, but in rhombus, opposite angles are equal, but adjacent angles are not equal. Kyle's claim is Incorrect.

It is a polygon with four sides. The total interior angle is 360 degrees.

Kyle claimed that the given quadrilaterals are similar because the ratio of their corresponding sides is equal.

Kyle's claim is Incorrect. Because the shapes are square and rhombus.

In square, all angles are of 90°, but in rhombus, opposite angles are equal, but adjacent angles are not equal.

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Let x be the enrollment of the school before the $10\%$ increase. We can represent the increase by multiplying $x$ by $1+10\% = 1+0.1 = 1.1$.

According to the problem statement, the new enrollment of the school is $506$, hence:$$1.1x = 506$$Solving for $x$:$$x = \frac{506}{1.1} \approx 460$$Therefore, the school's enrollment before the increase was approximately $460$.Given that Laura Bernett is 5 ft-4 inches tall. She stands 9 feet from the streetlight and casts a 7-foot-long shadow. To find how tall is the streetlight,

let us assume the height of the streetlight be h.Let the height of Laura Bernett be Lb = 5.33 ft (Converting 5 ft 4 inches to feet)From the similar triangles concept, the height of the streetlight can be found. We know that the length of the shadow, the distance from the person to the streetlight, and the height of the person are in proportion.h/Lb = (h + 7)/9Cross-multiplying the above equation, we get9h = 9Lb + 7hThus, we can obtain the value of h ash = 9Lb/2We know that the height of Laura Bernett is Lb = 5.33 ftTherefore, substituting this value in the above equation,h = 9 × 5.33/2= 24.0 feet (rounded off to the nearest hundredth)Therefore, the height of the streetlight is 24.0 feet.

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The union of two sets is to avoid counting the same elements twice.

The mathematical logic subfield of set theory investigates sets, which can be loosely defined as collections of objects. Although any object can be combined into a set, set theory, as a mathematical discipline, focuses primarily on those that are relevant to mathematics as a whole.

Given union of set

(A ∪ B),

The set of all objects that are members of either A or B, or both, is the union of the sets A ∪ B.

let us take example,

A = { 1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

(A ∪ B) = { 1, 2, 3, 4} ∪  {3, 4, 5, 6, 7}

we can simply write all of A and B's elements in a single set to avoid duplicates to find A U B.

(A ∪ B) = {1, 2, 3, 4, 5, 6, 7}

Hence the  union of two sets is a set that contains all the elements of both set and avoid duplicates.

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Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the total orders is not given.

To solve this question, I will assume a value for the total number of order.

Let

\(x \to 12-cup\)

\(n_x = 18\) ---- number of 12-cup

\(y \to 36-cup\)

\(n_y = ??\) ---- number of 36-cup

\(n \to\) Total order

Required

Calculate \(n_y\)

To do this, we make use of the following equation:

\(n_x * x + n_y * y = n\)

Substitute known values

\(18 * 12 + n_y * 36 = n\)

\(216 + 36n_y= n\)

Collect like terms

\(36n_y= n - 216\)

Divide both sides by 36

\(n_y= \frac{n - 216}{36}\)

Assume the number of orders is: 540 cups

The equation becomes

\(n_y= \frac{540 - 216}{36}\)

\(n_y= \frac{324}{36}\)

\(n_y= 9\)

The average credit card debt for a public school teacher is μ = 14,975 pesos and the standard deviation is σ = 5,650 pesos.

Find the probability that the teacher owes at least 6,740 pesos.

Let X be the random variable representing the credit card debt that a public school teacher has.

Then, X ~ N(14975, 5650) which means that X is normally distributed with a mean 14,975 and a  standard deviation of  5650.

Find the probability that the teacher owes at least 6,740 pesos.

This can be represented as P(X ≥ 6740).

Use the z-score formula which is given by z = (X - μ) / σ,

where X is the credit card debt, μ is the mean, σ is the standard deviation and z is the z-score corresponding to X.

So, substituting the given values,

z = (6740 - 14975) / 5650= -0.8912 (approx)

Using the z-table, the probability corresponding to this z-score is P(Z ≤ -0.8912) = 0.1866 (approx).

Therefore,P(X ≥ 6740) = 1 - P(X < 6740)= 1 - P(Z ≤ -0.8912) = 1 - 0.1866= 0.8134 (approx).

Hence, the probability that the teacher owes at least 6,740 pesos is approximately 0.8134.

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Answer:

$843.67

Step-by-step explanation:

We can use a proportion to solve this problem:

12 : 100 = x : 896

x =(896 * 12)/100 = $107,52

896 - 107.52 = $788,48 (price of the computer after the discount)

7 : 100 = x : 788,48

x = (788,48 * 7)/100 = $55,1936

788.48 + 55,1936 = 843,6736 = $843.67 (final price)

The line segments with as many different lengths as possible by connecting dots.

1. 3 units

\(| | | | | ||---|---|---|---|---|| o | | | | o || | | | | || | | | | || | | | | || o | | | | o || | | | | ||---|---|---|---|---|| o | | | | o || | | | | || | | | | || | | | | || o | | | | o |\)

2. 1 unit

\(| | | | | ||---|---|---|---|---|| o | | | | || | | | | o || | | | | || | | | | || | | | | o |\)

3. 2.5 units

\(| | | | | ||---|---|---|---|---|| o | | | | || | | | | o || | | | | || | | o | | || | o | | | o |\)

4. 4 units

\(| | | | | ||---|---|---|---|---|| o | | | | o || | | | | || | | | | || | | o | | || o | | | | o |\)

5. 2 units

\(| | | | | ||---|---|---|---|---|| o | | | | || | | | | o || | | | | || | | o | | || | o | | | o |\)

On 5 dot-by-5 dot grids, draw line segments with as many different

lengths as possible by connecting dots. Label each segment with

its length.

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The calculated price is -1558. However, since prices cannot be negative in most real-world scenarios, we need to consider the valid range of prices. None of the options are correct.

To find the price at which sales are equal to Q=10, we need to substitute Q=10 into the inverse demand function P=342-190 and solve for P.

Let's start by substituting Q=10 into the inverse demand function:

P = 342 - 190 * Q

P = 342 - 190 * 10

P = 342 - 1900

P = -1558

The calculated price is -1558. However, since prices cannot be negative in most real-world scenarios, we need to consider the valid range of prices.

Given the options provided (a, 18; b, 36; c, 152; d, 171), we can see that none of them match the calculated price of -1558.

Therefore, none of the options are correct.

It is important to note that the calculated price of -1558 may not be realistic or feasible in the context of the problem. It is possible that there may be some error or inconsistency in the information provided.

If you have any additional information or if there are any constraints or limitations mentioned in the problem, please provide them, and I will be happy to assist you further.

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If an invertible symmetric n×n matrix A has a nonzero vector v in R^n such that Av is orthogonal to v, then it means that the dot product of Av and v is equal to zero. In other words, Av . v = 0. Using th peroperties of the dot product, we can rewrite this equation as:
v . A^T v = 0

Since A is symmetric, A^T = A, and we can rewrite the equation as:
v . A v = 0
This equation can be further simplified using the properties of the dot product:
v . A v = (A v) . v = 0
From this equation, we can see that the eigenvalues of A must be either positive or negative. If the eigenvalues of A are all positive, then v . A v > 0, which contradicts the equation v . A v = 0. Similarly, if the eigenvalues of A are all negative, then v . A v < 0, which also contradicts the equation v . A v = 0.
Therefore, the only way for there to exist a nonzero vector v in R^n such that Av is orthogonal to v is if the eigenvalues of A are both positive and negative. In other words, A must have both positive and negative

eigenvalues.

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Answer:

9

Step-by-step explanation:

8x-10=62

8x=72

x=9

therefore,x(9)=62

Answer:

its 9,...hny! <3

Step-by-step explanation:

Answer:

x=9,−19

hope this is fast enough

Answer:

I think X=9

Hope this helps :)

The equation in slope-intercept form that describes the relationship in the graph is: y = -20x + 100.

An equation is a mathematical statement that shows the equality between two expressions. It contains one or more variables, and the values of these variables can be solved for to make the equation true. An equation can be represented using symbols, numbers, and operators such as addition, subtraction, multiplication, division, and exponents. Equations are used in many fields of mathematics and science, and they are a fundamental tool for solving problems and making predictions.

Here,

Part A:

The equation in slope-intercept form that describes the relationship in the graph is:

y = -20x + 100

Part B:

To determine the equation, we need to find the slope of the line passing through the two given points.

Slope, m = (change in y) / (change in x)

m = (0 - 100) / (5 - 0)

m = -20

The y-intercept can be found by substituting the slope and any point on the line into the slope-intercept form of the equation:

y = mx + b

100 = (-20)(0) + b

b = 100

Therefore, the equation in slope-intercept form is:

y = -20x + 100

Part C:

In the given situation, the slope represents the rate of decrease in the percentage of battery remaining per hour. The negative value indicates that the percentage of battery remaining decreases over time, and the magnitude of the slope (-20) indicates that the battery percentage decreases by 20% per hour.

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The grocer used 10 lbs of trail mix that costs $3.00 per pound and 5 lbs of trail mix that costs $1.50 per pound.

The number of each trail mix used by the grocer is calculated as follows

Let the trail mix that costs $3.00 per pound = x

Let the trail mix that costs $1.50 per pound = y

x + y = 15  ---- (1)

3x + 1.5y = 2.5(15)

3x + 1.5y = 37.5 ------- (2)

From equation (1), y = 15 - x

Substitute the value of x as follows;

3x + 1.5(15 - x) = 37.5

3x + 22.5 - 1.5x = 37.5

1.5x = 15

x = 15/1.5

x = 10

Substituting x = 10 in equation 1, we get:

10 + y = 15

y = 15 - 10

y = 5

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Answer:

4

Step-by-step explanation:

10*4=40

Answer:

1080

Step-by-step explanation:

Answer:

this makes no sense can u simplify it in the comments and i'll answer there pls

The measure used by the charity is: The IQR of 13 is the most accurate to use, since the data is skewed.

In a graphic representation of data called a histogram, a set of continuous numerical data is distributed in a given way. Each rectangle's area is related to the frequency of data values occurring within a given interval or bin. It consists of a sequence of rectangles or bars. The y-axis displays the frequency or count of values that fall inside each interval, while the x-axis displays the range of values that are divided up into intervals or bins. Large data sets can be visually summarised using histograms, which can also be used to spot patterns and trends as well as outliers or unexpected numbers.

A measure of variability that is less susceptible to outliers than the range is the IQR (interquartile range). The data in this instance is skewed to the right, which means that a few large donations are pushing the range upward.

From the given data we see that the values are skewed. Thus, for the values IQR will be an appropriate way to represent the data and understand about the range in the upper and the lower bound.

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The equation of the line with no slope that passes through the point (-2, 0) is x = -2.

A line with no slope is a vertical line. A vertical line is parallel to the y-axis and has the equation x = c, where c is a constant. In this case, we need to find the equation of a vertical line that passes through the point (-2, 0).

Since the line is vertical, its x-coordinate remains constant for all y-values. In this case, the x-coordinate is -2. Therefore, the equation of the line is x = -2.

The equation x = -2 represents a vertical line passing through the point (-2, 0). It means that for any value of y, the corresponding x-value is always -2. In other words, the line is a vertical line that intersects the x-axis at x = -2 and extends infinitely in the positive and negative y-directions.

The slope of a vertical line is undefined because it does not change in the x-direction. A vertical line only has a y-intercept, which in this case is (0, -2). The line is perpendicular to the x-axis and does not have a slope.

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Since probabilities cannot be negative, we can conclude that the given probabilities are inconsistent or there might be an error in the information provided. Please verify the values and provide correct probabilities so that we can accurately calculate P(B|A), the probability of the flight being delayed when it is raining.

Let's denote the events as follows:

A: It will rain

B: The flight will be delayed

We are given the following probabilities:

P(A) = 0.11 (probability of rain)

P(B) = 0.14 (probability of flight delay)

P(A'∩B') = 0.76 (probability of no rain and on-time departure)

We can use the probability formula to calculate the probability of the flight being delayed when it is raining, P(B|A), which is the probability of B given A.

We know that:

P(B|A) = P(A∩B) / P(A)

To find P(A∩B), we can use the formula:

P(A∩B) = P(A) - P(A'∩B')

Substituting the given values:

P(A∩B) = P(A) - P(A'∩B')

P(A∩B) = 0.11 - 0.76

P(A∩B) = -0.65

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Answer:

1) 80 pencils for $32

2) 15 gallons for $52

3) 2  shirts for $60

Step-by-step explanation:

1)

At $42 for 100 pencils, each pencil = $42/100 = $0.42
At $32 for 80 pencils, each pencil = $32/80 = $0.40
So better buy is 80 pencils for $32

2)

15 gal of gas for $52 ==> $3.47 per gal

7 gal for 24.50 ==> $3.50
Better buy is 15 gal of gas for $52

3)

2 shirts for $60 ==> $30 per shirt
10 shirts for $320 ==> $32 per shirt

Better buy: 2 shirts for $60

Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

Answer:

wdym? like the app remind?

Answer:

you have to download the remind app

9514 1404 393

Answer:

  26.13 ft²

Step-by-step explanation:

The total area is twice the area of the right triangles plus half the area of a circle of radius 3 ft.

  Semicircle area = (1/2)(πr²)

  semicircle area = (1/2)(3.14)(3 ft)² = 14.13 ft²

The area of the two right triangles is ...

  total triangular area = (3 ft)(4 ft) = 12 ft²

Then the area of the figure is ...

  figure area = semicircle area + total triangular area

  = 14.13 ft² + 12 ft² = 26.13 ft²

Answer: 26.13

Step-by-step explanation:

The area of rectangle ABCD is 4x² - 33x + 63.

A. Algebraic expression for the perimeters of triangle PQR and rectangle ABCD:Perimeter of Triangle PQR = PQ + QR + RP = (3x - 5) + (4x + 3) + (2x + 2)Perimeter of Rectangle ABCD = 2 (AB + BC) = 2 [(x - 3) + (4x - 21)]

B. Linear equation using the algebraic expressions written in part a:Perimeter of Triangle PQR / Perimeter of Rectangle ABCD = 5 / 9=> [(3x - 5) + (4x + 3) + (2x + 2)] / [2 (x - 3) + 2 (4x - 21)] = 5/9Simplifying the above equation,9 (3x + 0) = 5 [6x - 42 + x - 3]27x = 35x - 200x = 40C. Area of rectangle ABCD = (AB) × (BC)= (x - 3) × (4x - 21)= 4x² - 33x + 63Therefore, the area of rectangle ABCD is 4x² - 33x + 63.

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No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

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Answer:

473

Step-by-step explanation:

typed into calculator.

Answer:

473

Step-by-step explanation:

first u divide 860 by 100

which equals to 8.6

next u multiply 8.6 by 55 to get 473

hope this helps!!