Answer:
a. 5x^2-7x+1
b. 2x^2-6x-6
Step-by-step explanation:
If A = 0, which of the following is equal to (I − A)-¹? (a) I + A (b) I + A+ A² (c) I- A (d) I- A - A² (e) I − A + A²
If A = 0, then the matrix (I - A)^-1 is equal to (I - 0)^-1 = I^-1 = I, where I is the identity matrix. Therefore, the correct option is (c) I - A.
When A = 0, the matrix (I - A) becomes (I - 0) = I, where I is the identity matrix. The inverse of the identity matrix is also the identity matrix itself, so (I - A)^-1 = I^-1 = I. Therefore, option (c) I - A is equal to (I - A)^-1.
The other options (a) I + A, (b) I + A + A², (d) I - A - A², and (e) I - A + A² do not yield the identity matrix when A = 0. Thus, they are not equal to (I - A)^-1.
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Which of the following are valid conclusions given parallelogram ABCD with diagonals AC and BD? You may select more than one answer
The answer is d. While it is possible for a parallelogram to be a square, it is not a valid conclusion given only the information that ABCD is a parallelogram and has diagonals AB and BD.
What is parallelogram?A parallelogram is a four-sided plane figure with two pairs of parallel and equal sides. Opposite sides of a parallelogram are of equal length and the opposite angles are of equal measure. The area of a parallelogram is determined by multiplying the length of one side with the height of the parallelogram. Parallelograms are quadrilaterals, which means they have four sides, and are classified by their angles and sides.
To determine if the parallelogram is also a square, additional information such as the length of the sides or angles of the parallelogram would need to be known.
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Complete questions as follows-
Which of the following is not a valid conclusion given parallelogram ABCD with diagonals AB and BD?
a
AB=CD
b
AC=BD
c
d
m
Find p(5) for p(x) = 80x2 - 15 by using the remainder theorem.
O 1985
O 2015
O-1985
O 2030
Need help with this for school
Answer: 135
Step-by-step explanation:
Counting by 5 The last point at the end of the box and whisker plot is 135
The temperature at 5 P.M. is 20°F. The temperature
at 10 P.M. iS -5°F. How many degrees did the
temperature fall? Write an equation and solve.
Step-by-step explanation:
20 - x = -5
-x = -25
x = 25
the temperature fell by 25°F.
Find the value of the missing angle x.
A. 45 degrees
B. 90 degrees
C. 135 degrees
D. 180 degrees
Answer:
.............. ................
Multiply the monomials: (-5xy')(6x²y5)
a. - 30x²y3⁰
12
b. 1x³y¹²
- 30x³y³⁰
12
d. - 30x³y¹2
To multiply the monomials (-5xy') and (6x²y5), you can use the following formula:
(ax^m)(by^n) = abx^(m+n)y^(m+n)
Where:
- a and b are constants
- x and y are variables
- m and n are the exponents of x and y, respectively
- Plugging in the values for a, b, m, and n, you get:
(-5xy')(6x²y5) = (-5)(6)x^(1+2)y^(1+5)
This simplifies to:
(-5xy')(6x²y5) = (-30)x^3y^6
So, the product of (-5xy') and (6x²y5) is (-30)x^3y^6, which is option (d).
What is the answer to part B?
urgent help needed plsss
Answer:
i think its a mirror
Step-by-step explanation:
mark as brainliest if its crct
Makayla leans a 26-foot ladder against a wall so that it forms an angle of 69 with the ground. What’s the horizontal distance between the base of the ladder and the wall?
The horizontal distance between the base of the ladder and the wall is approximately 8.892 feet.
Here, we have,
To find the horizontal distance between the base of the ladder and the wall, we can use trigonometric functions.
In this case, the ladder forms an angle of 69 degrees with the ground. We can label this angle as θ.
We know the length of the ladder is 26 feet. We can label the horizontal distance as x.
Using trigonometric functions, specifically cosine, we have:
cos(θ) = adjacent/hypotenuse
cos(69) = x/26
To find x, we can rearrange the equation:
x = 26 * cos(69)
Using a calculator, we can calculate:
x ≈ 26 * 0.3420
x ≈ 8.892
Therefore, the horizontal distance between the base of the ladder and the wall is approximately 8.892 feet.
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write an equation of the line Perpendicular to the given line that contains PP(6,6)y=(2/3)x
Two lines are perpendicular if:
\(m1\cdot m2=-1\)For the line:
\(y=\frac{2}{3}x\)We can see that its slope is 2/3, so:
Let:
m1 = 2/3
Therefore:
\(\begin{gathered} \frac{2}{3}\cdot m2=-1 \\ \text{Solving for m2:} \\ m2=-\frac{1}{\frac{2}{3}}=-\frac{3}{2} \end{gathered}\)Now, we have the slope and a point P(6,6), let's use the slope point equation:
\(\begin{gathered} y-y1=m(x-x1) \\ y-6=-\frac{3}{2}(x-6) \\ y-6=-\frac{3}{2}x+9 \\ \text{Solving for y:} \\ y(x)=-\frac{3}{2}x+9+6 \\ y(x)=-\frac{3}{2}x+15 \end{gathered}\)In circle Y, the measure of arc CD is f radians. The length of diameter segment ED is 24.
What is the area of sector CYD in terms of f?
The area of the sector is 72f
How to determine the area of the sector?The given parameters are:
Angle = f
Diameter = 24
Start by calculating the radius
r = Diameter/2
r = 24/2
r = 12
The area of the sector is
A = (θ/2) × r^2
So, we have
A = (f/2) * 12^2
Evaluate
A = 72f
Hence, the area of the sector is 72f
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possible lengths of the third side of the triangle given that the longths of the other two sides are 5 inches and 12 inches
Answer:
\(5 + 12 > x\)
\(5 + x > 12\)
\(7 < x < 17\)
What is the value of x in this equation? 4x + 6 = -62
Answer:
- 14
Step-by-step explanation:
4x + 6 = - 62
4x = - 62 + 6
4x = - 56
x = - 56 / 4
x = - 14
The value of x in this equation will be; x = -14
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We are given that the equation 4x + 6 = - 62
Here, we need to solve for x
4x + 6 = - 62
4x = - 62 + 6
4x = - 56
x = - 56 / 4
x = - 14
Therefore, the solution will be as;
x = -14,
The value of x in this equation will be; x = 14
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suppose you have two data sets, a and b, with means of 20 and 30, respectively, and the same standard deviation of 5. which data set is more spread out?
Assuming that we have two data sets, a and b, with means of 20 and 30, respectively, and the same standard deviation of 5, we can conclude that neither data set is more spread out than the other.
What do we understand by sparse data set?Suppose you have two data sets A and B, with means of 20 and 30, respectively, and the same standard deviation of 5. To determine which data set is more spread out, we need to compare the variance of the two data sets. Since the variance is the square of the standard deviation, we can compare the variances of the two data sets. Using the formula, Var = s², we can calculate the variances of data set A and B.
\(Var(A) = (5)^2 = 25\\Var(B) = (5)^2 = 25\)
Both data sets have the same variance, indicating that they have the same amount of spread, or convergence. Therefore, we can conclude that no data set is more spread out than the other.
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Please help me :c
I'll mark you Brainiest
Jackson went into a movie theater and bought 8 bags of popcorn and 2 candies, costing a total of $58. Cooper went into the same movie theater and bought 4 bags of popcorn and 5 candies, costing a total of $49. Write a system of equations that could be used to determine the price of each bag of popcorn and the price of each candy. Define the variables that you use to write the system.
Answer:
Jackson: 8p + 2c = 58
Cooper: 4p + 5c = 49
Step-by-step explanation:
p= popcorn
c= candies
When you write this equation, have the cost on one side of the equation and the coefficients on the other.
1. JACKSON WALKS 6 BLOCKS IN 4 MINUTES. HOW FAST IS
HE WALKING?
Answer:
Jackson is walking an average of 1.5 blocks per minute.
Step-by-step explanation:
6 divided by 4 is 1.5
The speed at Jackson for walking 6 blocks in 4 minutes will be equal to 1.5 blocks per minute.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the instructions provided in the question,
The distance (d) traveled by Jackson = 6 blocks
The time (t) taken to travel 6 blocks by Jackson = 4 minutes
\(Speed(s)=\frac{Distance(d)}{Time(t)}\)
Put values in the above equation,
s = 6/4
s = 1.5 blocks per minute.
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How to convert 1 million seconds to hours
Solution
Step 1
To convert seconds to hours, divide the seconds by 3600.
Step 2
1 million seconds = 1000000 seconds
\(\begin{gathered} To\text{ hours} \\ \\ \text{= }\frac{1000000}{3600} \\ \\ =\text{ }277\frac{7}{9}\text{ hours} \end{gathered}\)four times the sum of a number and 9 is 16
Answer:
Step-by-step explanation:
four times the sum of a number and 9 is 16
4 *(x + 9) = 16
4x + 36 = 16
4x = 16 - 36
4x = -20
x = -5
---------------
4 * (-5 + 9) = 16
16 = 16
true
A state highway patrol official wishes to estimate the percentage/proportion of drivers that exceed the speed limit traveling a certain road.
A. How large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 3 %? Note that you have no previous estimate for p.
B. Repeat part (A) assuming previous studies found that the sample percentage of drivers on this road who exceeded the speed limit was 65%
A) Approx. 1067 is the required sample size to ensure 95% confidence that the sample proportion will not differ from the true proportion by more than 3%.
B) When the previous estimate is 65%, approx. 971 is the sample size needed to achieve 95% confidence that the sample proportion will not differ by more than 3% from the true proportion.
How to calculate the sample size needed for estimating the proportion?To determine the sample size needed for estimating the proportion of drivers exceeding the speed limit, we can use the formula for sample size calculation for proportions:
n = (Z² * p * (1 - p)) / E²
where:
n = the sample size.
Z = the Z-value associated with the confidence level of 95%.
p = the estimated proportion or previous estimate.
E = the maximum allowable error, which is 3% or 0.03.
We calculate as follows:
A. No previous estimate for p is available:
Here, we will assume p = 0.5 (maximum variance) since we don't have any prior information about the proportion. So, adding the values into the formula:
n = (Z² * p * (1 - p)) / E²
n = ((1.96)² * 0.5 * (1 - 0.5)) / 0.03²
n= (3.842 * 0.5 * (0.5))/0.03²
n = (1.9208*0.5)/0.0009
n ≈ 1067.11
Thus, to be 95% confident that the sample proportion will not differ from the true proportion by more than 3%, a sample size of approximately 1067 is required.
B. Supposing previous studies found that the sample percentage of drivers who exceeded the speed limit is 65%:
Here, we have a previous estimate of p = 0.65:
Putting the values into the formula:
n = (Z²* p * (1 - p)) / E²
n = ((1.96)² * 0.65 * (1 - 0.65)) / 0.03²
n= (3.842 * 0.65 *(0.35))/0.0009
n ≈ 971
Hence, with the previous estimate of 65%, a sample size of approximately 971 is necessary to be 95% confident that the sample proportion will not differ from the true proportion by more than 3%.
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Please answer this question now
Answer:
C. Acute
Step-by-step explanation:
Pythagorean theorem can be used to determine the type of triangle any 3 given sides can form.
This,
A right ∆ is formed if a² + b² = c²
An acute ∆ is formed if a² + b² > c²
An obtuse ∆ is formed if a² + b² < c²
Note: c is the longest side of any triangle.
Using the side lengths given:
9.2² + 15.1² ? 17.4²
84.64 + 228.01 ? 302.76
312.65 > 302.76
An acute triangle is formed because a² + b² > c²
Which term refers to coordination, balance, and orientation in three-dimensional space?
Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.
The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.
There are three types of equilibrium: stable, unstable, and neutral.
Examples of equilibrium in everyday life:
A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.
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-help me write an equation!!!
The absolute value function for this problem is given as follows:
g(x) = |x - 1| - 2.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
In which a is the leading coefficient.
The coordinates of the vertex for this problem are given as follows:
(1, -2).
As the slope of the line is of 1, the leading coefficient is given as follows:
a = 1.
Hence the absolute value function for this problem is given as follows:
g(x) = |x - 1| - 2.
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un trabajador de la construccion empuja una carga de 60kg sobre el piso a lo largo de una distancia de 14 m aplicando una fuerza de 260 N, luego levanta la carga verticalmente hasta una plataforma que se encuentra a 1.2 m del piso. este trabajo lo realizo en un total de 3 minutos . ¿cual es el trabajo y la potencia total desarrollada por el trabajador?
The total work done by the worker is approximately 4346.32 J, and the power developed by the worker is approximately 24.14 W.
How to solve
To calculate the total work done by the worker, we need to consider both the horizontal pushing work and the vertical lifting work.
Horizontal pushing work:
Work (W) = Force (F) × Distance (d) × cos(θ)
where θ is the angle between the force and the displacement.
Since the force is applied horizontally and the displacement is also horizontal, the angle between them is 0 degrees, and cos(0) = 1.
W_horizontal = F × d × cos(0)W_horizontal = 260 N × 14 m × 1W_horizontal = 3640 J (joules)Vertical lifting work:
To calculate the work done in lifting the load vertically, we first need to find the force required to lift the load. The force required to lift the load is equal to the weight of the load:
Weight (Wt) = Mass (m) × Acceleration due to gravity (g)
where g ≈ 9.81 m/s² (approximately, on Earth's surface).
Wt = 60 kg × 9.81 m/s²
Wt ≈ 588.6 N
Now, we can calculate the work done in lifting the load:
W_vertical = Wt × h × cos(0)
where h is the vertical height.
W_vertical = 588.6 N × 1.2 m × 1
W_vertical ≈ 706.32 J
Now, we can find the total work done:
W_total = W_horizontal + W_verticalW_total = 3640 J + 706.32 JW_total ≈ 4346.32 J
Next, we'll calculate the power developed by the worker. Power is the rate of doing work, and it can be calculated as:
Power (P) = Work (W) / Time (t)
The worker does the work in 3 minutes, so we need to convert this time to seconds:
t = 3 min × 60 s/min = 180 s
Now, we can calculate the power:
P = W_total / t
P ≈ 4346.32 J / 180 s
P ≈ 24.14 W (watts)
So, the total work done by the worker is approximately 4346.32 J, and the power developed by the worker is approximately 24.14 W.
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The question in English is:
A construction worker pushes a 60-kg load across the floor a distance of 14 m by applying a force of 260 N, then lifts the load vertically to a platform that is 1.2 m above the floor. I do this work in a total of 3 minutes. What is the total work and power developed by the worker?
What are the boundaries of the class 1.87-3.43? 3). A) 1.87-3.43 B) 1.82-3.48 C) 1.879-3.439 D) 1.865-3.435
The boundaries of the class 1.87-3.43 are D) 1.865-3.435. The lower boundary is 1.865 and the upper boundary is 3.435.
The boundaries of the class 1.87-3.43 can be determined by subtracting and adding half of the smallest possible unit of measurement to the given class limits. In this case, since the given class limits are 1.87 and 3.43, we need to find the boundaries by subtracting and adding half of the smallest possible unit of measurement.
Let's assume the smallest possible unit of measurement is 0.01.
To find the lower boundary:
Lower Boundary = Lower Limit - (0.01/2)
Lower Boundary = 1.87 - 0.005
Lower Boundary = 1.865
To find the upper boundary:
Upper Boundary = Upper Limit + (0.01/2)
Upper Boundary = 3.43 + 0.005
Upper Boundary = 3.435
Therefore, the boundaries of the class 1.87-3.43 are:
D) 1.865-3.435
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Two hundred and four kids are going on a field trip. there needs to be one cheoparne for every four students. if a bus can hold 50 people how many buses will they need
A field trip will be taken by 204 children. One cheoparne must be assigned to every four students. 4 buses will be required if a bus can seat 50 people.
Two hundred and four kids are going on a field trip.
if a bus can hold 50 people
1 bus= 50 people
4 bus = 50* 4 = 200 people
A field trip or excursion is a travel taken by a group of people to a location that is different from their typical habitat. When done for kids, as it is in many school systems, it is referred to as a school trip in the United Kingdom, Australia, New Zealand, and Bangladesh, and a school tour in Ireland.
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please help me i will mark you brainliestttttttttttttttt
Answer:
28 :)
Step-by-step explanation:
During a checkers game, there are 16 pieces left. The ratio of black to red is 3 : 5. How many black pieces are on the board? Explain how you found your answer.
Answer:
6 black pieces
10 red pieces
Step-by-step explanation:
The way to interpret ratios is like so:
Adding up both parts of the ratio gives 8, i.e. 3 + 5
So for every 8 pieces, 3 are black and 5 are red;
There are 16 pieces, which is 2 × 8;
So, there are (2 × 3) black pieces and (2 × 5) red pieces, i.e. 6 black and 10 red
So, to solve:
Add all parts of the ratio (3 + 5);
Divide the number of pieces (16) by this sum of ratio parts (8);
Multiply the value from the division (2) by each part of the ratio
Tip:
It is important to take note of the order in the ratio, so the ratio of black to red means the number that comes first in the ratio represents parts black and the one that comes second represents parts red;
If the wording was the ratio of red to black, the number that comes first would represent parts red and the second would represent parts black
here is a 5-number summary of an extensive data list; 4, 30, 33.5, 52.5, and 110. a) construct a box plot of the data. be sure to include what each value represents. b) after you have completed your plot determine if there are any outliers, using iqr criterion, within the 5-number summary or on this list of values taken from the data. (3, 87, -2.1, -10, 99, 48, 6.3)
The median (the value 33.5). Finally, we add "whiskers" extending from the box to the minimum value (4) and the maximum value (110).
What are the minimum and maximum values represented by the "whiskers" in the box plot?To construct a box plot using the given 5-number summary (4, 30, 33.5, 52.5, and 110), we first draw a number line. The box plot will have a rectangle representing the interquartile range (IQR) between the first quartile (Q1) and the third quartile (Q3).Q1 is 30, Q3 is 52.5, and the IQR is the difference between them (22.5). We draw a line segment inside the box at the median (the value 33.5). Finally, we add "whiskers" extending from the box to the minimum value (4) and the maximum value (110).
To determine outliers, we calculate the lower and upper fences. The lower fence is given by Q1 - (1.5 * IQR), and the upper fence is given by Q3 + (1.5 * IQR).For this data, the lower fence is -6.75, and the upper fence is 89.25. None of the values from the list (-2.1, -10, 6.3, 3, 48, 87, 99) lie outside these fences. Hence, there are no outliers within the 5-number summary or in the given list of values.
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Mrs. Castillo built a rectangular sand box for her children. Each 50-pound bag contains
approximately 0.60 cubic foot of sand,
2
9
How many bags of sand does Mrs. Castillo need to completely fill this sandbox?
A:65 bags
B:90 bags
C:108 bags
D:180 bags