The given figure can be divided to two rectangles
The first will have the dimensions of 10 and 2
The second will have the dimensions of ( 9 - 2 ) and ( 10 - 6 )
So, the area of the first rectangle = 10 * 2 = 20 cm^2
The area of the second rectangle = (9-2) * (10-6) = 7 * 4 = 28 cm^2
So, the total area = 20 + 28 = 48 cm^2
The following table shows the number and type of properties available in three cities.
City
Key West
Orlando
Miami
Write a matrix that represents the number of each type of property available in Key West.
[ 3 9 13 ] is the Matrix showing all types of property available in key west .
What is matrix ?A matrix is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns to represent a mathematical object or an attribute of such an entity in mathematics.
Calculationgiven in the table that how many types of property are there in the table
its a simple matrix which u can directly see
its a 3 x 1 matrix ...
[3 9 13] this matrix shows the required value
hope this helps...
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Answer: [3 9 13]
Step-by-step explanation:
What is the height of the pennant? Recall the formula
A = bh.
12 inches
15 inches
30 inches
36 inches
Answer:
I think it is 30 inches
Step-by-step explanation:
Answer: C
Step-by-step explanation: on edge 2023
summarize the relationship between the number of Faces, the number of Vertices and the number of Edges of a three-dimensional object
Answer:
The relationship between the number of faces, vertices, and edges of a three-dimensional object is described by Euler's formula, which states that for any polyhedron (a solid object bounded by flat faces), the number of faces (F), vertices (V), and edges (E) satisfy the equation F + V - E = 2. This formula is true for any convex polyhedron, such as a cube or a regular tetrahedron.
The formula is based on the fact that every face of a polyhedron is bounded by a closed loop of edges, and each vertex is where three or more edges meet. The total number of edges is the sum of the number of edges around each face, which is equal to twice the number of faces since each edge is shared by two faces, and the number of edges meeting at each vertex, which is equal to the degree of the vertex (the number of edges meeting at the vertex).
Therefore, by knowing the number of faces, vertices, and edges of a three-dimensional object, we can determine if it is a convex polyhedron and use Euler's formula to check if the numbers are consistent with a solid shape.
trouve trois nombres entiers consécutifs dont la somme vaut 513
Answer:
170, 171, 172
Step-by-step explanation:
x + x + 1 + x + 2 = 513
3x + 3 = 513
3x = 510
x = 170
x + 1 = 171
x + 2 = 172
Use the information below to find the value of x. Explain your steps.
Please help with all ASAP I’ll mark Brainly
Answer:
4 2/4 2/3 3/4 5/8
Step-by-step explanation:
6(x1.5)+30<48 I need help with this Help
The solution to given linear inequality, 6(x1.5) + 30 < 48, is x < 2
Solving linear inequalitiesFrom the question, we are to solve the given linear inequality
The given linear inequality is
6(x1.5) + 30 < 48
First, we will write this inequality properly.
The inequality can be properly written as
6(1.5x) + 30 < 48
Now, we will solve the linear inequality
6(1.5x) + 30 < 48
Subtract 30 from both sides of the equation
6(1.5x) + 30 - 30 < 48 - 30
6(1.5x) < 18
Divide both sides of the inequality by 6
6(1.5x)/6 < 18/6
(1.5x) < 3
1.5x < 3
Divide both sides of the inequality by 1.5
1.5x/1.5 < 3/1.5
x < 2
Hence, the solution is x < 2
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Enter the number that belongs in the green box 7 4 8
Answer:
61.03°
Step-by-step explanation:
You want the angle opposite the side of length 7 in the triangle with other sides of lengths 4 and 8.
Law of CosinesThe law of cosines relates the angles of a triangle to the side lengths. For triangle ABC with opposite sides a, b, c, the relation is ...
c² = a² +b² -2ab·cos(C)
ApplicationSolving for angle C, we have ...
cos(C) = (a² +b² -c²)/(2ab)
C = arccos((a² +b² -c²)/(2ab))
In this triangle, that means ...
C = arccos((4² +8² -7²)/(2·4·8)) = arccos(31/64)
C ≈ 61.03°
The angle of interest is about 61.03°.
__
Additional comment
We get the same result from a triangle solver. See the second attachment. (The angle we want is angle B in that attachment.)
<95141404393>
You would also like your room painted
Your room has 300 square feet of wall space to paint.
Sam says it took her 10 minutes to paint 25 square feet.
At this rate, if Sam painted your room, how many hours would it
take?
Answer:
2 hours
Step-by-step explanation:
300/25 = 12 12 x 10 = 120 minutes = 2 hours
Hope this helped! If it did, please give me brainliest, it would help a lot! Thanks! :D
Answer:
2 hours
Step-by-step explanation:
10 minutes------> 25 square feet.
x-------------------> 300 square feet.
3000 = 25 x =====> x = 3000/25 = 120 minutes
Conversion: 1 hour = 60 minutes, 120 minutes will be 2 hours...
Try to solve in minutes first, then conversion to hour....
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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Leah works at an appliance store. She recorded her recent sales.
washing machines 3
dishwashers 1
ovens 6
clothes dryers 5
What is the experimental probability that the next appliance Leah sells will be an oven?
6/15
you add everything she sells together. ( 3+1+6+5=15) Then you put the amount of ovens she sells above taht number, making it a fraction.
Question 9 (1 point)
What is the cost of leaving on your 150 watt LCD TV while you go for
a 45 minute walk outside (at a cost of 16 cents per kilowatt hour)?
1.8 cents
21 cènts
542 cents
57-cent
HELP PLEASE GIVING BRIANLESS
Black and very dark greys are difficult for LCDs to produce. They consequently typically have lower contrast than CRTs and have less colour saturation for low intensity hues.
How many watts does a LCD TV use per hour?The majority of TVs on the market range in wattage from 80 to 400. This figure is determined by the TV's size (32 inches, 44 inches, 56 inches, etc.) and kind (CRT, LCD, LED, QLED, Plasma and so on).Multiply the appliance's power rating (watts) by the number of hours it is used for, then divide the result by 1000 to get the kWh for that particular item.No, flat-screen TVs normally do not consume a lot of electricity. Compared to other appliances and devices, they only use a modest amount of energy. Your heating and cooling systems consume a vastly greater amount of electricity than your television. In low-light and dark settings, not recommended for use.To learn more about typically refer to:
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Consider the polynomial 9x2 – 16.
Answer: 2
Step-by-step explanation:
9 × 2 - 16
18 - 16
2
Suppose that X; Y have constant joint density on the triangle with corners at (4; 0), (0; 4), and the origin. a) Find P(X < 3; Y < 3). b) Are X and Y independent
The triangle (call it T ) has base and height 4, so its area is 1/2*4*4 = 8. Then the joint density function is
\(f_{X,Y}(x,y)=\begin{cases}\frac18&\text{for }(x,y)\in T\\0&\text{otherwise}\end{cases}\)
where T is the set
\(T=\{(x,y)\mid 0\le x\le4\land0\le y\le4-x\}\)
(a) I've attached an image of the integration region.
\(P(X<3,Y<3)=\displaystyle\int_0^1\int_0^3f_{X,Y}(x,y)\,\mathrm dy\,\mathrm dx+\int_1^3\int_0^{4-x}f_{X,Y}(x,y)\,\mathrm dy\,\mathrm dx=\frac12\)
(b) X and Y are independent if the joint distribution is equal to the product of their marginal distributions.
Get the marginal distributions of one random variable by integrating the joint density over all values of the other variable:
\(f_X(x)=\displaystyle\int_{-\infty}^\infty f_{X,Y}(x,y)\,\mathrm dy=\int_0^{4-x}\frac{\mathrm dy}8=\begin{cases}\frac{4-x}8&\text{for }0\le x\le4\\0&\text{otherwise}\end{cases}\)
\(f_Y(y)=\displaystyle\int_{-\infty}^\infty f_{X,Y}(x,y)\,\mathrm dx=\int_0^{4-y}\frac{\mathrm dx}8=\begin{cases}\frac{4-y}8&\text{for }0\le y\le4\\0&\text{otherwise}\end{cases}\)
Clearly, \(f_{X,Y}(x,y)\neq f_X(x)f_Y(y)\), so they are not independent.
PLEASE HELP WITH THIS I WILL MARK YOU AS BRAINLIEST PLS AND TY
Answer:
it would be multiplying by 2 Soo 2•2= 4
and 4•2= 8. and 6•2 = 12. and 8•2=16 and 10•2=20
Express the sum of the angles of this triangle in two different ways.
X
1/2x
3/2x
The sum of the angles of the triangle expressed in two ways are x + 1/2x + 3/2x and 2x + x + 3x/2
How to determine the expressionIt is important to note that the sum of the angles of a triangle is equal or equivalent to 180 degrees.
We have the angle measurements as;
x3/2x1/2xSubstitute the values
x + 1/2 x + 3/2x = 180
Find the lowest common multiple
2x + x + 3x /2 = 180
Add the numerators
6x/2 = 180
cross multiply
6x = 360
x = 60
Hence, the expression is x + 1/2x + 3/2x and 2x + x + 3x/2
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Select all irrational numbers.
Answer:
B C F
Step-by-step explanation:
If you reduce those answer and try to find the square roots, the decimals are terminating and never ending, while the others are perfect squares.
Find the smallest whole number by which 16087 should be multiplied or divided to get a perfect square
There is no whole number by which you can multiply or divide 16087 to make it a perfect square.
To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.
In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.
To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.
A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.
Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.
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A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease. Among those who have the disease, the probability that the disease will be detected by the new test is 0.7. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.02. It is estimated that 20 % of the population who take this test have the disease. If the test administered to an individual is positive, what is the probability that the person actually has the disease
Answer:
0.8974 = 89.74% probability that the person actually has the disease.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Positive test.
Event B: Has the disease.
Probability of a positive test:
0.7 of 0.2(has the disease).
0.02 of 100 - 20 = 80%(does not have the disease). Thus:
\(P(A) = 0.7*0.2 + 0.02*0.8 = 0.156\)
Probability of a positive test and having the disease:
0.7 of 0.2. So
\(P(A \cap B) = 0.7*0.2 = 0.14\)
What is the probability that the person actually has the disease?
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.14}{0.156} = 0.8974\)
0.8974 = 89.74% probability that the person actually has the disease.
If f(x)= x² + 5x and g(x) = 3x + 2, finda. (f+g)(2) by evaluating f(2) and g(2).f(2)= g(2)=ƒ(2) + g(2) =b. (f+g)(x)=c. Evaluate your formula from part b at x = 2 to verify your answer to part a.(f+g)(2)=
Given:
f(x)= x² + 5x and g(x) = 3x + 2
Required:
To calculate
f(2)= g(2)=
(f+g)(x)=
(f+g)(2)=
Explanation:
a)-
\(\begin{gathered} f(2)=(x^2+5x)(2) \\ \\ =((2)^2+5(2)) \\ \\ =(4+10)=14 \\ \\ g(2)=(3x+2) \\ \\ =(3\times2+2) \\ \\ =(6+2)=(8) \end{gathered}\)\(\begin{gathered} f(2)+g(2) \\ \\ =(2^2+5\times2)+(3\times2+2) \\ \\ =(4+5\times2)+(3\times2+2) \\ \\ =(4+10)+(6+2) \\ \\ =(14)+(8) \\ \\ =22 \end{gathered}\)b)-
\(\begin{gathered} f(x)+g(x) \\ \\ f(x)+g(x)=(x^2+5x)+(3x+2) \\ \\ determine\text{ the sign} \\ \\ x^2+5x+3x+2 \\ \\ \\ x^2+8x+2 \end{gathered}\)c)-
\(\begin{gathered} (f+g)(x) \\ \\ (x^2+5x+3x+2)(2) \\ \\ (x^2+8x+2)(2) \\ \\ ((2)^2+8(2)+2) \\ \\ (4+16+2) \\ \\ (22) \end{gathered}\)Required answer:
\(\begin{gathered} a)-22\text{ } \\ \\ b)-x^2+8x+2 \\ \\ c)-22 \end{gathered}\)what was the key to getting support for converting from petroleum to synthetic lubricants?
Answer:
Step-by-step explanation:
From 1994 to 2003, the amount of athletic equipment E (in millions of dollars) sold domestically can be modeled by E(t) = -10t^3 + 140t^2 - 20t + 18,150where t is the number of years since 1994. Use the following steps to find the year when about $20,300,000,000 of athletic equipment was sold. a. Write a polynomial equation that can be used to find the answer. b. List the possible whole-number solutions of the equation in part (a) that are less than 10.c. Use synthetic division to determine which of the possible solutions in part (b) is an actual solution. Then calculate the year which corresponds to the solution.
In a synthetic polynomial , the real solution of 2 is found; the year is 1996, and $20,300,000,000 was sold.
a. 20,300,000,000 = -10t^3 + 140t^2 - 20t + 18,150
b. Suggestions for the problem: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
b. To solve, use synthetic division; the solution is 2; the year is 1996.
In order to discover the year in which the specified quantity of sporting equipment was sold, we must create a polynomial equation. E(t) = -10t3 + 140t2 - 20t + 18,150, where t is the number of years since 1994, is the equation given in the problem. We must rewrite the equation so that the right side equals 20,300,000,000 in order to determine the year in which $20,300,000,000 worth of sporting equipment was sold. After that, the equation is 20,300,000,000 = -10t3 + 140t2 - 20t + 18,150, which needs to be solved. The equation can have whole-number solutions that are less than 10, including 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. We may use synthetic division to identify which of these answers is the true solution. this method, the coefficients of the equation are divided by the coefficient of the equation with the highest degree, and the quotient is then multiplied by the solution. Until the last portion is identified, this process is repeated. The answer is the quantity that equals the remainder.
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Which data set could be represented by the box plot shown below? A horizontal boxplot is plotted along a horizontal axis marked from 10 to 26, in increments of 1. A left whisker extends from 12 to 15. The box extends from 15 to 21 and is divided into 2 parts by a vertical line segment at 19. The right whisker extends from 21 to 24. All values estimated. Choose 1 answer: Choose 1 answer: (Choice A) 13 1313, 15 1515, 15 1515, 17 1717, 19 1919, 19 1919, 20 2020, 22 2222, 24 2424 A 13 1313, 15 1515, 15 1515, 17 1717, 19 1919, 19 1919, 20 2020, 22 2222, 24 2424 (Choice B) 12 1212, 15 1515, 15 1515, 17 1717, 19 1919, 19 1919, 20 2020, 22 2222, 24 2424 B 12 1212, 15 1515, 15 1515, 17 1717, 19 1919, 19 1919, 20 2020, 22 2222, 24 2424 (Choice C) 12 1212, 15 1515, 15 1515, 17 1717, 20 2020, 20 2020, 20 2020, 22 2222, 24 2424 C 12 1212, 15 1515, 15 1515, 17 1717, 20 2020, 20 2020, 20 2020, 22 2222, 24 2424 (Choice D) 12 1212, 15 1515, 17 1717, 17 1717, 19 1919, 19 1919, 22 2222, 22 2222, 24 2424 D 12 1212, 15 1515, 17 1717, 17 1717, 19 1919, 19 1919, 22 2222, 22 2222, 24 2424
The dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.
What is box plot?A box plot, sometimes called a box whisker plot, shows the distribution of a dataset graphically. The minimum value, the first quartile (25th percentile), the median (50th percentile), the third quartile (75th percentile), and the maximum value are the five main values used to standardise this method of displaying the distribution of data.
Two whiskers that extend from a rectangular box make up a box plot. The range of values between the first and third quartiles is represented by the box, which is known as the interquartile range (IQR).
From the given box plot we observe that the minimum value is 12 and the maximum value is 24.
Here, the median is 19.
From the information the two data set that have the corresponding values are:
12, 15, 15, 17, 19, 19, 20, 22, 24
12, 15, 17, 17, 19, 19, 22, 22, 24
The lower quartile is 15.
The upper quartile is 21.
Calculating the lower quartile for the data sets:
12, 15, 15, 17, 19, 19, 20, 22, 24
Lower quartile = 15
Hence, the dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.
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Hi I need help finding the degree measure of Radian on a triangle with hypotenuse =7 and opposite =3
Answer:
24.6 degrees.
Step-by-step explanation:
To find the degree measure of the radians in a right triangle with hypotenuse = 7 and opposite = 3, we need to use trigonometric ratios. Since the opposite and hypotenuse are given, we can use the sine ratio.
sin(θ) = opposite/hypotenuse
sin(θ) = 3/7
Now we need to find the angle measure θ. We need to use the inverse sine or arcsine function to do this.
θ = sin^-1(3/7)
θ ≈ 0.429 radians
To find the degree measure, we must convert radians to degrees by multiplying by 180/π.
θ ≈ 0.429 x 180/π
θ ≈ 24.6 degrees
Therefore, the degree measure of the radians in the given triangle is approximately 24.6 degrees.
Craig Milton needs to order for his company int the catalog a 20% traidor discount is offered for a price of $481.60 what is the net price
Answer:
Net price = $385.28
Step-by-step explanation:
Trade Discount - It is the discount given by buyer to seller, as a reduction in list price, when huge (bulk) orders transactions are made.
List price = 481.60
Trade Discount = 20%
So, Trade Discount = 20 / 100 (481.60) = 96.32
Net price = List price - Trade Discount = 481.60 - 96.32 = 385.28
A researcher is investigating the number of hours a given individual spends online on a given day during the current 2020 pandemic in the United States. She randomly selects 30 individuals and collects the following responses:
15 12 6.2 7 5.5 2 4 5 10 11 7 6 4 7 0
1 5 3.2 4 10 6 2 10 1.5 5.1 6.4 8 14 3 2
Required:
What calculation is preferred for the central tendency and spread if the distribution of values is skewed?
Answer:
Median
Step-by-step explanation:
Usually, in statistics when we have a skewed distribution, to calculate the central tendency and spread we usually calculate the median.
Thus, the calculations preferred in this case is median.
6The table below represents the charges for using the Internet at a cafe. 3 Number of Minutes Amount Charged (in dollars) 7.5 30 R. 120 12 220 Write an equation in slope-intercept form that describes the relationship between the number of minutes, x, and the amount charged, y.
Answer:
Step-by-step explanation:
y=mx+b
m=(y2-y1)/((x2-x1)
m=(12-7.5)/(120-30)
m=0.05
y=0.05x+b, using point (30,7.5)
7.5=0.05(30)+b
7.5=1.5+b
b=6
y=0.05x+6
Calculate the surface area
To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:
Length = 8 cmWidth = 3 cmHeight = 6 cmRefer to the attachment below.
Three pairs of facesThere are three pairs of faces on a rectangular prism:
Two faces (top & bottom) with dimensions: Length × Width (8 cm × 3 cm).Two faces (front & back) with dimensions: Length × Height (8 cm × 6 cm).Two faces (left & right) with dimensions: Width × Height (3 cm × 6 cm).Finding the areaArea of Length × Width faces8 cm × 3 cm = 24 cm²
Since there are two of these faces, the total area is:
2 × 24 = 48 cm²
Area of Length × Height faces8 cm × 6 cm = 48 cm²
Since there are two of these faces, the total area is:
2 × 48 = 96 cm²
Area of Width × Height faces3 cm × 6 cm = 18 cm²
Since there are two of these faces, the total area is:
2 × 18 = 36 cm²
Adding the areas of the facesNow, add up the areas of all six faces:
Surface Area = 48 + 96 + 36 = 180 cm²
AnswerSo, the surface area of the rectangular prism is 180 cm².
________________________________________________________
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please help giving lot of points
Answer:
They would need to sell 32 calendars to EXCEED their goal.
Explanation:
8 x 32= 256, which is more than the $250 needed!
Step-by-step explanation:
I need help with these question asap
Answer:
A parallelogram has:
Opposite angles are congruent;Opposite sides are congruent;Adjacent angles are supplementary;The diagonals bisect each other.Types of parallelogram include squares, rectangles and rhombus. if what i have listed above is in the image shown, its is a parallelogram.
Step-by-step explanation: