Answer:
answer [-19]d + [4]p +[2]
Answer:
\(-9d-4p-6-10d+8=-19d-4p+2\)
Step-by-step explanation:
\(-9d-4p-6-10d+8\)
\(=-9d-10d-4p-6+8\)
\(=-19d-4p-6+8\)
\(=-19d-4p+2\)
So the answer would be -19d-4p+2
hopefully this helps you ~
equivalent expression for 2(x – y)?
Answer:
2(4 - 1)
Step-by-step explanation:
How many and what type of solutions does 5x2−2x+6 have?
1 rational solution
2 rational solutions
2 irrational solutions
2 nonreal solutions
Answer:
2 nonreal solutions
Step-by-step explanation:
given a quadratic equation in standard form
ax² + bx + c = 0 (a ≠ 0 )
then the nature of the roots are determined by the discriminant
b² - 4ac
• if b² - 4ac > 0 then 2 real and irrational solutions
• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions
• if b² - 4ac = 0 then 2 real and equal solutions
• if b² - 4ac < 0 then no real solutions
5x² - 2x + 6 = 0 ← in standard form
with a = 5 , b = - 2 , c = 6
b² - 4ac
= (- 2)² - (4 × 5 × 6)
= 4 - 120
= - 116
since b² - 4ac < 0
then there are 2 nonreal solutions to the equation
f(x) = (x - 3)(x + 4)
Answer:
f(x)= x^2+x-12
Step-by-step explanation:
FOIL
First= (x)(x)=x^2
Outer=(x)(4)=4x
Inner=(-3)(x)=-3x
Last=(-3)(4)=-12
x^2+4x-3x-12
x^2+x-12
The cost of 1 cup of tea and 6 cakes is £13. The cost of 1 cup of tea and 4 cakes is £9 a) How much do 2 cakes cost? b) How much does 1 cake cost?
The answers are:
a) 2 cakes cost £5
b) 1 cake costs £2.5.
What is an algebraic expression?
An algebraic expression is a mathematical phrase that contains variables, constants, and mathematical operations. It may also include exponents and/or roots. Algebraic expressions are used to represent quantities and relationships between quantities in mathematical situations, often in the context of problem-solving.
To find the cost of 1 cupcake, we need to subtract the cost of the tea from the total cost of 3 cupcakes:
3 cupcakes + 1 tea = £9
3 cupcakes = £9 - 1 tea = £9 - £1.5 (assuming the cost of 1 tea is the same in both cases) = £7.5
1 cupcake = £7.5 ÷ 3 = £2.5
So 2 cupcakes would cost:
2 cupcakes = 2 × £2.5 = £5
Therefore, the answers are:
a) 2 cakes cost £5
b) 1 cake costs £2.5.
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Please tell me the answer as simple as you can
Answer:
9 lol
Step-by-step explanation:
sun of 4 and 5 is 9
difference between 8 and 7 is 9
multiply 9 by 1
Let us suppose we have data on the absorbency of paper towels that were produced by two different manufacturing processes. From process 1, the sample size was 10 and had a mean and standard deviation of 130 and 15, respectively. From process 2, the sample size was 4 with a mean and standard deviation of 310 and 50, respectively. Find a 95% confidence interval on the difference in the towels' mean absorbency produced by the two processes. Assume the standard deviations are estimated from the data. Round your answers to two decimal places (e.g. 98.76). SH1 – H2= i e Textbook and Media
A 95% confidence interval on the difference in the towels' mean absorbency produced by the two processes is between -295.36 and -104.64
We can use the two-sample t-test formula to find the confidence interval for the difference in means:
t = (x1 - x2 - d) / √(s1²/n1 + s2²/n2)
where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, n1 and n2 are the sample sizes, d is the hypothesized difference in means (usually 0 in a two-sided test), and t follows a t-distribution with degrees of freedom given by:
df = (s1^2/n1 + s2^2/n2)^2 / (s1^4/n1^2(n1-1) + s2^4/n2^2(n2-1))
Plugging in the given values, we have:
x1 = 130, s1 = 15, n1 = 10
x2 = 310, s2 = 50, n2 = 4
d = 0 (since we are testing for a difference of means)
t(0.025, df) = 2.306 (using a t-table or calculator)
Substituting these values into the formula, we get:
t = (130 - 310 - 0) / sqrt(15^2/10 + 50^2/4) = -4.156
df = (15^2/10 + 50^2/4)^2 / (15^4/10^2(10-1) + 50^4/4^2(4-1)) = 7.38 (rounded to 2 decimal places)
The 95% confidence interval for the difference in means is given by:
(x1 - x2) ± t(0.025, df) * sqrt(s1^2/n1 + s2^2/n2)
= (130 - 310) ± 2.306 * sqrt(15^2/10 + 50^2/4)
= (-200 ± 95.36)
= (-295.36, -104.64)
Therefore, we can be 95% confident that the true difference in mean absorbency between the two processes is between -295.36 and -104.64. Since the interval does not contain 0, we can conclude that the means are significantly different at the 5% level.
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Please help, question is in photo below, about finding angles.AWARDING MORE POINTS
Step-by-step explanation:
\((2x + 23) + (9x - 5) = 11x + 18 \\ 11x + 18 = 95 \: \: \: \: 11x = 77 \\ x = 7 \\ abd = (2 \times 7) + 23 = 37 \\ dbc = (2 \times 9) - 5 = 13\)
Answer:
x=7
m<ABD=37°
m<DBC=58°
Step-by-step explanation:
Add the two equations. They need to equal 95. Solve for x.
(2x+23)+(9x-5)=95
11x+18=95
11x=95-18
11x=77
x=7
Substitute 7 in for x to both equations to solve for the angle degrees.
m<ABD=2x+23 = 2(7)+23 = 14+23 = 37
m<DBC=9x-5 = 9(7)-5 = 63-5 = 58
CHECK: 37+58=95
can someone please help mee ( will give brainliest 20 points!!!)
The piecewise function graphed below is given as follows:
\(f(x) = 3, -4 \leq x \leq -2\)\(f(x) = x + 2, -2 < x \leq 3\)\(f(x) = -1, 3 < x \leq 5\)What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
For x between -4 and -2, inclusive, the function is constant at 3, hence the definition is:
\(f(x) = 3, -4 \leq x \leq -2\)
For x greater than -2 until 3, the function is a line with slope 1 and y-intercept 2, hence the definiton is:
\(f(x) = x + 2, -2 < x \leq 3\)
For x greater than 3 until 5, the function is constant at -1, hence the definition is:
\(f(x) = -1, 3 < x \leq 5\)
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a good way to get a small standard error is to use a ________.
Answer: A good way to get a small standard error is to use a large sample.
Step-by-step explanation:
In order to find the small standard error, there is always need of a complete set which is called the large sample.
If tried to do a small or repeating sample, you will most likely not get an error and you could get a repetition. If you do a population sample, you wont get accurate results at all.
Therefore, a good way to get a small standard error is to use a large sample. Hope this helps!
-From a 5th Grade Honors Student
how do you do this cause im confused
(quandale dingle)
The points that are reflected over the y-axis to the points X', Y', Z' are:
X'(-11, 7), Y'(-2, -3), Z'(9, 6)
What is meant by coordinate plane?The coordinates are also determined by the positions of the perpendicular projections of the point onto the two axes, which are denoted by signed distances from the origin. Using three Cartesian coordinates and a point's signed distances from three planes that are perpendicular to one another, the same concept may be used to locate any point in three dimensions (or, equivalently, by its perpendicular projection onto three mutually perpendicular lines). In general, the point in an n-dimensional Euclidean space is described by n Cartesian coordinates for any dimension n. The distances between the point and n hyperplanes that are perpendicular to one another are comparable to these coordinates, up to a sign.
The points that are reflected over the y-axis to the points X', Y', Z' are:
X'(-11, 7), Y'(-2, -3), Z'(9, 6)
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The covariance between the returns of stocks a and b is –0.073. the standard deviation of the rates of return is 0.5 for stock a and 0.3 for stock b. the correlation of the rates of return between a and b is the closest to:_________
The closest correlation of rates of return between stocks a and b is approximately -0.487 (negative), indicating opposite movements.
The relationship coefficient between two stocks an and b can be determined utilizing the equation:
relationship coefficient = covariance/(standard deviation of stock a * standard deviation of stock b)
Considering that the covariance between the profits of stocks an and b is - 0.073, and the standard deviation of the paces of return is 0.5 for stock an and 0.3 for stock b, we can substitute these qualities into the recipe to track down the connection coefficient.
relationship coefficient = - 0.073/(0.5 * 0.3) ≈ - 0.487
Consequently, the nearest worth of the connection of the paces of return between stock an and b is - 0.487. This negative relationship coefficient demonstrates that the profits of the two stocks will generally move in inverse bearings. At the point when one stock's return is high, the other stock's return is probably going to be low, as well as the other way around.
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Δ ABC and ΔDEF are similar triangles. If m∠A =104∘and m∠E = 36∘, what is ∠C?
1. 36
2. 40
3. 76
4. 104
Answer:
2
x=40
Step-by-step explanation:
A triangle has 180 degrees and considering that triangle ABC is similar to DEF that means they have the same angle (A=D,B=E,C=F)
180=104 +36+x
180=140+x
180-140=x
40=×
find the curvature of r(t) = 5t, t2, t3 at the point (5, 1, 1).
K =
When solving geometric word problems, which is NOT a way to approach the problem? a. look at given information c. relate various pieces of information b. use applicable formulas d. guess the answer Please select the best answer from the choices provided A B C D
A toy box is 5 feet long, 24 inches wide and 30 inches high. What is the volume of the toy box in cubic feet?
Answer:
25 cubic feet
Step-by-step explanation:
You need to convert all units to feet and then multiply the dimensions.
24 inches is 2 feet
30 inches is 2.5 feet
So, you would multiply 5X2X2.5= 25.
Help plz I appreciate it ✌️
Answer:
7/9 * 27/5 = 189/45= (reduced) 4 1/5
7/4 *25/6 = 175/24 (reduced) = 7 7/24
Step-by-step explanation:
for the first turn 5 2/5 into improper fraction 5*5=25 + 2 = 27/5
multiply numerator 7*27= 189
9*5=45 189/45 can be reduced
divide both by 9 = 21/5 then make imxed number 4 and 1/5
Answer:
a) 21/5
b) 175/24
Step-by-step explanation:
a) 7/9 x 5 2/5 = 7/9 x 27/5
7/9 x 27/5 = 189/45 = 21/5 (if you wanted it shortened)
b) 1 3/4 x 4 1/6 = 7/4 x 25/6
7/4 x 25/6 = 175/24
Consider the given pseudo code. Write the function T(n) in terms of the number of operations, and then give the asymptotic (big Oh) complexity of the algorithm, show all the work you do. [ write the summation formula and solve it, or use the "Look for pattern"method. a. Matrix Multiplication
The function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.
The pseudo code for matrix multiplication may look something like this:
```
MatrixMultiplication(A, B):
n = size of matrix A
C = empty matrix of size n x n
for i = 1 to n do:
for j = 1 to n do:
sum = 0
for k = 1 to n do:
sum = sum + A[i][k] * B[k][j]
C[i][j] = sum
return C
```
Let's break down the number of operations step by step:
1. Assigning the size of matrix A to variable n: 1 operation
2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)
3. Outer loop: for i = 1 to n
- Incrementing i: n operations
- Inner loop: for j = 1 to n
- Incrementing j: n^2 operations (since it is nested inside the outer loop)
- Initializing sum to 0: n^2 operations
- Innermost loop: for k = 1 to n
- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)
- Performing the multiplication and addition: n^3 operations
- Assigning the result to C[i][j]: n^2 operations
- Assigning the value of sum to C[i][j]: n^2 operations
Total operations:
1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1
Therefore, the function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1
To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.
In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
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does anyone know this?
Answer:
The volume is approximately 50 m^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
The radius is 1/2 of the diameter r = 8/2 = 4
V = pi ( 4)^2 (1)
V = 16 pi
Letting pi be approximated by 3.14
V = 3.14 * 16
V = 50.24
The volume is approximately 50 m^3
A 40 foot long wire stretches from the top of a vertical pole to a stake in the ground 18 feet from the foot of the pole. find, to the nearest degree, the measure of the acute angle that the wire makes with the ground.
The measure of the acute angle that the wire makes with the ground is 63.27°.
The situation forms a right angle triangle.
How to find the angle of a right triangle?The length of the wire is the hypotenuse of the right triangle.
The distance from the foot of the pole is the adjacent side of the right triangle.
Therefore,
cos ∅ = adjacent / hypotenuse
cos ∅ = 18 / 40
cos ∅ = 0.45
∅ = cos⁻¹ 0.45
∅ = 63.2563160496
∅ = 63.27°
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Write an equation in point-slope form of the line that passes through the given point and with the given slope m
(-5,2), m=4
Answer:
\(y-2=4(x+5)\)
Step-by-step explanation:
The given point is (-5, 2) and the slope is 4.
Point-slope form is given by:
\(y-y_1=m(x-x_1)\)
We will let (-5, 2) be (x₁, y₁) and will substitute 4 for m. Therefore:
\(y-(2)=4(x-(-5))\)
Simplify:
\(y-2=4(x+5)\)
what are the outside diameters of the three high tension ignition cables in use
The outside diameter of each cable is 8mm.
If the inner cable has a radius of 2mm, then its diameter is 4mm. Adding the spacing between each cable of 2mm on each side gives a total of 4mm of additional diameter.
Therefore, the diameter of each cable is 4mm + 4mm = 8mm. This assumes that the cables are cylindrical in shape and have no additional insulation or shielding that would increase their overall diameter.
It is important to note that the diameter of high tension ignition cables can vary depending on the specific application and design of the cable.
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Complete question:
what are the outside diameters of the three high tension ignition cables in use given that inner cable have 2mm radius and spacing between each cable is 2mm.
What value of n makes the equation true? Show your work.
Answer:
4
Step-by-step explanation:
\((7^5*7^n)^4 = (\frac{7^{16}}{7^n})^3\)
\(7^{20}*7^{4n} = \frac{7^{48}}{7^{3n}}\)
\(7^{7n} = \frac{7^{48}}{7^{20}}\)
\(7^{7n} = 7^{28}\\\)
\(n = 4\)
Clara lends half her collection of formal attires to her sister, Susan. Clara then buys four more attires now, how many attires did Clara had initially.
Answer:
let the numbet of formal attires with Clara be X
Clara lended susan 1/2 = X/2
Clara buys 4 = X/2 +4
Answer = X/2 + 4
( as the number of formal attires originakly with Clara is not specified)
PLEASE HELP MEEE!!!!!!
how to determine the maximum and minimum of a function
To determine the maximum and minimum of a function, you need to find the critical points and endpoints, evaluate the function at these points, and compare the values.
The highest value represents the maximum, while the lowest value represents the minimum.
To determine the maximum and minimum of a function, follow these steps:
Find the critical points of the function by finding where its derivative equals zero or is undefined.
Determine the endpoints of the interval you are considering, if applicable.
Analyze the function at its starting and ending locations.
The highest value represents the maximum, and the lowest value represents the minimum.
Let's consider an example using the function f(x) = x^2 - 4x + 3 over the interval [0, 5].
Find the critical points:
Take the derivative of the function: f'(x) = 2x - 4.
Set the derivative equal to zero: 2x - 4 = 0.
Solve for x: 2x = 4,
x = 2.
The critical point is x = 2.
Determine the endpoints:
In this case, the endpoints of the interval are x = 0 and x = 5.
Evaluate the function:
Calculate f(0) = (0)^2 - 4(0) + 3
= 3.
Calculate f(2) = (2)^2 - 4(2) + 3
= -1.
Calculate f(5) = (5)^2 - 4(5) + 3
= -7.
Determine the maximum and minimum:
The highest value is 3, which occurs at x = 0. Therefore, the maximum value is 3.
The lowest value is -7, which occurs at x = 5. Therefore, the minimum value is -7.
To determine the maximum and minimum of a function, you need to find the critical points and endpoints, evaluate the function at these points, and compare the values. The highest value represents the maximum, while the lowest value represents the minimum. It is important to consider the given interval to ensure that the maximum and minimum values are within the specified range.
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Please helpppp what is the solution to this: 8 < 3x - 1 < 17
Answer:
3 < x < 6
Step-by-step explanation:
8 < 3x - 1 < 17
Add 1 to all sides
8+1 < 3x - 1+1 < 17+1
9 < 3x < 18
Divide all sides by 3
9/3 < 3x/3 < 18/3
3 < x < 6
Answer:
x=(3,6)
Step-by-step explanation:
3x-1>8 and 3x-1<17
3x>9 3x<18
x=3 x=6
Which is different?
w is greater than or equal to – 7.
W is no more than 7
w is no less than - 7
w is at least - 7
w is no more than 7 is different
Answer:
W is no more than 7
Step-by-step explanation:
W is greater than or equal to -7 is (W>_-7)
W is no more than 7 is (W<_7)
W is no less than -7 is (W>_7)
W is at least -7 is (W>_7)
Out of all of these, w is no more than 7 is the only different expression
values for the random variables or uncertain variable inputs to a simulation are a. randomly generated from the specified probability distributions b. equal to the most likely value c. selected by the decision maker d. calculated by fixed mathematical formulas e. controlled by the decision maker
The correct option is:
a. randomly generated from the specified probability distributions
Given,
In the question:
Values for the random variables or uncertain variable inputs to a simulation are:-
a. randomly generated from the specified probability distributions
b. equal to the most likely value
c. selected by the decision maker
d. calculated by fixed mathematical formulas
e. controlled by the decision maker
Choose the correct one.
Now, According to the question:
Let's Know:
How do you generate a random number from a probability distribution?
In general, generating a random number from a probability distribution means transforming random numbers so that the numbers fit the distribution. Perhaps the most generic way to do so is called inverse transform sampling: Generate a uniform random number in [0, 1].
The correct option is:
a. randomly generated from the specified probability distributions
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PLEASE HELP ME ITS DUE IN 30 MINUTES
Which expressions are equivalent to a^b/c?
Select all correct answer choices.
Answer:
c√a^b the first option is the correct one
Protractor postulate: given any angle, we can express its measure as a unique ______________ number from 0 to 180 degrees.
Protractor postulate: given any angle, we can express its measure as a unique real number from 0 to 180 degrees.
The protractor postulate is a fundamental concept in geometry that establishes a way to measure angles using a protractor. According to this postulate, every angle can be uniquely represented by a real number between 0 and 180 degrees.
A protractor is a geometric tool with a semicircular shape and marked degrees along its edge. To measure an angle using a protractor, we align the center of the protractor with the vertex of the angle and the baseline of the protractor with one side of the angle. We then read the degree measure where the other side of the angle intersects the protractor.
The protractor is divided into 180 degrees, with 0 degrees being the starting point at the baseline of the protractor, and 180 degrees being at the opposite end of the baseline. By aligning the protractor with an angle, we can determine its measure as a real number within this range.
For example, if we measure an angle using a protractor and find that the other side intersects the protractor at 45 degrees, we can express the measure of the angle as 45 degrees. Similarly, if the intersection point is at 90 degrees, the angle measure would be 90 degrees. The protractor postulate guarantees that these angle measures are unique within the range of 0 to 180 degrees.
It is important to note that the protractor postulate assumes that angles can be measured using a protractor and that the measurement is accurate and reliable. The postulate provides a consistent and standardized way to assign a numerical value to an angle, allowing for precise communication and comparison of angles in geometric contexts.
In summary, the protractor postulate establishes that the measure of any angle can be expressed as a unique real number between 0 and 180 degrees. This concept is fundamental in geometry and allows for the measurement, comparison, and communication of angles using a protractor.
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