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Related Questions
Which expression is equal to 4(2+3)
Question 1 options:
A.4+5
B.8+12
C.2+12
D. 8+3
Answers
Answer:
B, 8+12
Step-by-step explanation:
2 + 3 is 5, 4 × 5 = 20
Therefore the only option which equals 20 is B.
provide the first three terms of each sequence and find an explicit formula for the n t h term. x 1
Answers
The first three terms of the sequences is 4 , 7 ,10 and the explicit formula is 3n+1
A sequences arrangement of an object or a set of numbers in a particular order followed by are some rules
If a₁ , a₂ , a₃ , . . .etc. are the terms of sequence then 1 ,2 , 3, 4 to the position of the term
There are 4 types of sequences
arithmetic sequence Geometric sequence next slide Harmonic sequence sequence Fibonacci numbersIf x₁ is equals to 4
The common difference is given as 3
To find the first 3 terms,
a₁ = 4 then a₂ = a₁ + 3
=> a₂ = 7
=> a₃ = 7 + 3 => 10
So, the first three terms are 4, 7 , 10 ,13 . . . .
To find the Explicit formula for nth term :
aₙ = a + (n - 1)d
=> aₙ = 4+ (n - 1)3
=> aₙ = 3n +1
I've answered the question in general as the question is incomplete
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Compute (3) for the function f(x) = 5x³ - 5x.
O 150
O 130
O 120
O -130
Answers
The value of f(3) for the given function is 120.
We have,
To compute f(3) for the function f(x) = 5x³ - 5x, we need to substitute the value of x with 3 in the function.
When we substitute x = 3 into the function, we get:
f(3) = 5(3)³ - 5(3)
First, we evaluate the exponent, 3³, which is equal to 27.
f(3) = 5(27) - 5(3)
Next, we multiply 5 by 27, which gives us 135.
f(3) = 135 - 5(3)
Then, we multiply 5 by 3, which is 15.
f(3) = 135 - 15
Finally, we subtract 15 from 135 to get the final result:
f(3) = 120
Therefore,
The value of f(3) for the given function is 120.
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please help!! show work needed
Answers
Answer:
the answer is 46 hope it helps
THIS SHOULD BE IT THANK YOU
Answers
Answer:
1. C = 15
2. C = 51
3. C = 50
4. C = 82
5. For numbers 5, 6, 7, you are going to have to explain yourself but its Yes no yes i believe
8-14 is pretty simple. you use the a^2 plus b^2 = C^2 method. if you still need help tell me.
I hope this answers your questions and please give me brainlest! Thank you and goodbye
If P(A)=0.54 then what value of P(B) the event A and B are complementary event
Answers
Answer:
P(B) = 0.46
Step-by-step explanation:
Probability
The complementary event of a given event A is defined as "not A" or the event that A does not occur.
For example, if A is defined as 'getting a job', then the complement of A is 'not getting a job'.
Event A and its complementary event (call it B) must satisfy:
P(A) + P(B) = 1
If we know P(A)=0.54, then
P(B) = 1 - P(A)
P(B) = 1 - 0.54
P(B) = 0.46
Which expression is equivalent to log Subscript 2 Baseline 9 x cubed? log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x log Subscript 2 Baseline x + 3 log Subscript 2 Baseline 9 3 log Subscript 2 Baseline x minus log Subscript 2 Baseline 9 3 log Subscript 2 Baseline 9 minus log Subscript 2 Baseline x
Answers
Answer:
log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x.
Log₂ 9 + 3Log₂ x
Step-by-step explanation:
Log subscript 2 baseline 9 x cubed can be written as:
Log₂ 9x³
Now, let us simply Log₂ 9x³.
This is illustrated below:
Log₂ 9x³
Recall: LogMN = Log M + Log N
Log₂ 9x³ = Log₂ 9 + Log₂ x³
Recall: Log Mⁿ = nLog M
Log₂ 9x³ = Log₂ 9 + 3Log₂ x
Therefore, the answer is log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x.
The equivalent expression of \(\log_2(9x^3)\) is \(\log_2(9) + 3\log_2(x)\)
The logarithmic expression is given as:
\(\log_2(9x^3)\)
Apply the quotient law of logarithm
\(\log_2(9x^3) = \log_2(9) + \log_2(x^3)\)
Apply the power rule of logarithm
\(\log_2(9x^3) = \log_2(9) + 3\log_2(x)\)
Hence, the equivalent expression of \(\log_2(9x^3)\) is \(\log_2(9) + 3\log_2(x)\)
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In the pillbug experiment, your hypothesis Multiple Choice was related to the food pillbugs prefer. was formulated after you completed the experiment. had to be supported by your data (proving your hypothesis was true). was related to the environment pillbugs prefer.
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In any case, it's important to formulate a hypothesis that is testable and based on prior knowledge or observations. This ensures that the experiment is designed to answer a specific question or test a specific idea, and that the results are meaningful and informative.
In the pillbug experiment, the hypothesis formulated was related to the food preferences of the pillbugs.
However, this hypothesis was not simply a guess or an assumption made before conducting the experiment. Instead, it was based on prior knowledge and observations of the pillbugs' behavior.After conducting the experiment and collecting data, the hypothesis had to be supported by the data. This means that the results of the experiment had to show that the pillbugs did indeed prefer certain types of food over others. If the data did not support the hypothesis, then it would need to be revised or discarded.It's worth noting that the hypothesis could have also been related to the environment that pillbugs prefer. This is because pillbugs are known to prefer damp, dark environments, and the experiment could have been designed to test their preferences for different types of environments.Know more about the pillbug experiment
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Find the volume of the triangular prism to the right.
6 height
11 base
Answers
The volume of the triangular prism is 198 cubic units.
To find the volume of a triangular prism, we need to multiply the area of the base triangle by the height of the prism.
In this case, the base of the triangular prism is a triangle with a base of 11 units and a height of 6 units, so the area of the base is:
Area of base = (1/2) × base × height
Area of base = (1/2) × 11 units × 6 units
Area of base = 33 square units
The height of the prism is given as 6 units.
Therefore, the volume of the triangular prism is:
Volume of prism = Area of base × Height
Volume of prism = 33 square units × 6 units
Volume of prism = 198 cubic units
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A project has an initial cost of $30 million.The project is expected to generate a cash flow of $2.85 million at the end of the first year.All the subsequent cash flows will grow at a constant growth rate of 3.85% forever in future.If the appropriate discount rate of the project is 11%,what is the profitability index of the project? a.1.917 b.1.328 c.1.387 d.1.114 ortcehov e. None of the above
Answers
Profitability index is 1.387. Thus, the correct option is (c) 1.387.
The formula for calculating the profitability index is:
P.I = PV of Future Cash Flows / Initial Investment
Where,
P.I is the profitability index
PV is the present value of future cash flows
The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.
The present value of cash flows can be calculated using the formula:
PV = CF / (1 + r)ⁿ
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
n is the number of periods
For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.
Substituting the values, we get:
PV = 2.85 / (1 + 0.11)¹ = $2.56 million
To calculate the present value of all future cash flows, we can use the formula:
PV = CF / (r - g)
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
g is the constant growth rate
For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.
Substituting the values, we get:
PV = 2.85 / (0.11 - 0.0385) = $39.90 million
The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.
PV of future cash flows = $39.90 million + $2.56 million = $42.46 million
Profitability index (P.I) = PV of future cash flows / Initial investment
= 42.46 / 30
= 1.387
Therefore, the correct option is (c) 1.387.
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Assume that the random variable X is normally distributed with mean 70 and standard deviation 8. Find the 40th percentile for X.
Answers
The 40th percentile for X is approximately 67.98. To find the 40th percentile for X, we need to use a standard normal distribution table or calculator.
We first need to standardize the random variable X by subtracting the mean and dividing by the standard deviation:
z = (X - mean) / standard deviation
z = (X - 70) / 8
We can then find the z-score corresponding to the 40th percentile, which is -0.253:
z = invNorm(0.4)
z = -0.253
Using this z-score and the formula for standardizing a random variable, we can solve for X:
z = (X - 70) / 8
-0.253 = (X - 70) / 8
-2.024 = X - 70
X = 67.976
Therefore, the 40th percentile for X is approximately 67.98.
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Someone please help me on this & I promise I’ll make sure you get points
Answers
The common factors and the greatest common integer for each pair of numbers are:
Common prime factors Greatest common factor
30, 45 3 and 5 5
40, 70 2 and 5 5
63, 42 3 and 7 7
81, 54 3 3
33, 99 3 and 11 11
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
30 and 45
3 x 5 x 2 = 30
3 x 3 x 5 = 45
Common prime factors = 3 and 5
Greatest common factor = 5
40 and 70
2 x 5 x 4 = 40
2 x 7 x 5 = 70
Common prime factors = 2 and 5
Greatest common factor = 5
63 and 42
3 x 3 x 7 = 63
2 x 3 x 7 = 42
Common prime factors = 3 and 7
Greatest common factor = 7
81 and 54
3 x 3 x 3 x 3 = 81
2 x 3 x 3 x 3 = 54
Common prime factors = 3
Greatest common factor = 3
33 and 99
3 x 11 = 33
3 x 3 x 11 = 99
Common prime factors = 3 and 11
Greatest common factor = 11
Thus,
Common prime factors are given above.
The greatest common factor is given above.
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suppose a function f: x → y is onto but not one-toone. is f−1 (the inverse relation for f) a function? explain your answer
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An "onto" function, also known as a surjective function, maps every element of the domain to at least one element of the codomain. A "one-to-one" function, or injective function, maps each element of the domain to a unique element in the codomain. If f: x → y is onto but not one-to-one, it means that some elements in x have the same corresponding element in y.
To determine if the inverse relation, f^(-1), is a function, let's recall the definition of a function: for every input, there must be exactly one output. Since f is not one-to-one, multiple elements in x correspond to a single element in y. Thus, when considering the inverse relation f^(-1), a single element in y would correspond to multiple elements in x.
In conclusion, f^(-1) would not be a function because it does not satisfy the requirement of having a unique output for each input.
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I need help finding the answer for number 17!!
Answers
Answer:
39°
Step-by-step explanation:
\(angle \: 1 + 2 = 180(co \: interior \: angles \: \:in \: parallel \: lies \: are \: add \: up \: t \: equal \: 180) \\ \)
13x + 24 + 5x -6 = 180
18x+ 18 =180
18x +18 -18 =180-18
18x = 162
18 18
x = 9
Therefore,
m<2 = 5x- 6
= 5(9) -6
= 45-6
= 39°
Consider the function f(x) = 3 +5e²x³ 1 + x³ (a) Find the Taylor series for f(x) based at b = 0. Write your answer in E-notation with a single Σ sign. (b) Find f(198⁹) (0). You do not need to simplify your answer.
Answers
The Taylor series for the function f(x) = 3 + 5e²x³/(1 + x³) based at b = 0 is given by Σ [(f^n)(0)/n!] * x^n, where n ranges from 0 to infinity. To find f(198⁹)(0), we substitute x = 198⁹ into the Taylor series expression without simplification.
The Taylor series expansion of a function f(x) centered at b = 0 is given by Σ [(f^n)(b)/n!] * (x - b)^n, where (f^n)(b) represents the nth derivative of f(x) evaluated at b. In this case, we need to find the derivatives of f(x) with respect to x and evaluate them at x = 0.
First, let's find the derivatives of f(x):
f'(x) = 6x²(5e²x³ + 1)/(x³ + 1)²
f''(x) = 12x(5e²x³ + 1)/(x³ + 1)² + 18x⁴(5e²x³ + 1)/(x³ + 1)³
f'''(x) = 12(5e²x³ + 1)/(x³ + 1)² + 36x³(5e²x³ + 1)/(x³ + 1)³ + 54x⁷(5e²x³ + 1)/(x³ + 1)⁴
Evaluating the derivatives at x = 0 gives:
f(0) = 3
f'(0) = 6(0²)(5e²(0³) + 1)/(0³ + 1)² = 0
f''(0) = 12(0)(5e²(0³) + 1)/(0³ + 1)² + 18(0⁴)(5e²(0³) + 1)/(0³ + 1)³ = 0
f'''(0) = 12(5e²(0³) + 1)/(0³ + 1)² + 36(0³)(5e²(0³) + 1)/(0³ + 1)³ + 54(0⁷)(5e²(0³) + 1)/(0³ + 1)⁴ = 12
Substituting these values into the Taylor series expression, we have:
f(x) ≈ 3 + 0x + (12/3!) * x² + (0/4!) * x³ + ...
To find f(198⁹)(0), we substitute x = 198⁹ into the Taylor series expression without simplification:
f(198⁹)(0) ≈ 3 + 0(198⁹) + (12/3!) * (198⁹)² + (0/4!) * (198⁹)³ + ...
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Determine if the two triangles are congruent. If they are, state how you know.
AAS
SAS
HL
Not enough information
Answers
find all missing variables and the measures of each angle
Answers
Answer:
X is 67 and the measure of the angle is 52 and Y is 32 and the measure of the angle is 128 degrees
Step-by-step explanation:
find the volume of the tetrahedron shown using the order dz dx dy. the tetrahedron is bounded by the planes z=0, y=15, x=0, and z=y−x.
Answers
The volume of the tetrahedron can be found by evaluating the triple integral of 1 with respect to z, x, and y over the region bounded by the given planes.
Using the order dz dx dy, we integrate with respect to z first, then x, and finally y. The limits of integration for z are from 0 to y-x, the limits of integration for x are from 0 to 15, and the limits of integration for y are from x to x+15. Thus, the triple integral is: ∫∫∫ 1 dz dx dy = ∫0^15 ∫0^(15-x) ∫0^(y-x) 1 dz dx dy
Evaluating this integral gives us the volume of the tetrahedron, which is 5625 cubic units. we first integrate with respect to z from 0 to y-x, which gives us the volume of the region between the planes z=0 and z=y-x. Then we integrate with respect to x from 0 to 15, which gives us the volume of the region between the planes x=0 and x=15. Finally, we integrate with respect to y from x to x+15, which gives us the volume of the tetrahedron bounded by all four planes.
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Find the area I will make you Brainliest (show working)
Answers
Answer:
Step-by-step explanation:
5 * 3 = 15
8 * 9 = 72
Add
Answer = 87 cm^2
Simplify 8^x/4^y x 2^z
Answers
Answer:
8x
Step-by-step explanation:
What is the solution set of the equation below?
-18=2a-2|1-3a|
Answers
Answer:
a = -2
Step-by-step explanation:
-18 = 2a - 2|1-3a|
-18 = 2a - 2 + 6a
-18 = 8a - 2
-16 = 8a
a = -2
Solve.
please and thank you!
Answers
Answer:
Step-by-step explanation:
2(x+3)/3 + 3(x-6)/2=1-x
2x+6/3 + 3x-18/2=1-x
2(2x+6)/3 + 3(3x-18)=6-6x
4x+12+9x-54=6-6x
13x-49=6-6x
13x+6x=6+42
19x/19=48/19
x=49/19
What are some (at least three) methods for determining the volume of the geometric shapes? Which of these methods do you expect to be the most precise? Why? Must have a minimum of 50 words in order to receive credit.
Answers
Three methods for determining the volume of geometric shapes are the formula method, the displacement method, and the integral method.
The formula method is commonly used for basic geometric shapes such as cubes, rectangular prisms, cylinders, and spheres. These shapes have well-defined formulas for calculating their volumes, such as V = l x w x h for a rectangular prism or V = πr²h for a cylinder. This method is straightforward and easy to use, but it may not be applicable to irregular or complex shapes.
The displacement method involves immersing the shape in a liquid and measuring the amount of liquid displaced. The volume of the shape is then equal to the volume of the liquid displaced. This method is useful for irregular shapes that cannot be easily measured using traditional formulas. However, it requires careful measurements and may not be practical for large or delicate objects.
The integral method is a mathematical technique that uses calculus to determine the volume of a shape. It is particularly suited for complex three-dimensional objects that cannot be easily measured or calculated using other methods. By breaking down the shape into infinitesimally small elements and integrating their volumes, the total volume of the shape can be accurately determined. This method is highly precise but requires advanced mathematical knowledge and computational tools.
In conclusion, while the formula method and the displacement method are useful for simple and irregular shapes respectively, the integral method is expected to be the most precise for determining the volume of geometric shapes. It can handle complex shapes and provide accurate results, albeit requiring advanced mathematical skills and tools.
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aMathWhich of the following shows the solution and graph to the inequality2x + 1 s 15?
Answers
Answer:
\(\text{ Option }\Rightarrow\text{ D}\)Explanation: We need to find the answer to the inequality
\(2x+1\leq15\)Solution:
\(\begin{gathered} 2x+1\leq15 \\ 2x\leq15-1 \\ \therefore\Rightarrow \\ 2x\leq14\rightarrow2x\leq\frac{14}{2} \\ x\leq7 \end{gathered}\)Graph:
The solution as found through solving inequality and demonstrated in the graph is
\(\text{ is Option D}\)
use inductive reasoning to predict the next three numbers in the pattern .4, -8, ,16, -32.....
Answers
the next three numbers are:
64,-128,256
in which ways does a nonlinear programming model differ from a linear programming model? multiple select question. nonlinear models have nonproportional relationships between activity levels and the overall measure of performance
Answers
A nonlinear programming model differs from a linear programming model in several ways. One key difference is that nonlinear models have nonproportional relationships between activity levels and the overall measure of performance.
Additionally, nonlinear models may have multiple optimal solutions, while linear models typically only have one optimal solution. Nonlinear models may also have discontinuous objective functions or constraints, while linear models have continuous objective functions and constraints.
Nonlinear programming models are used when the relationship between variables is not linear. In a linear programming model, the objective function and constraints are linear, meaning that they have a constant rate of change.
However, in a nonlinear programming model, the objective function and constraints may have nonlinear relationships, which means that they do not have a constant rate of change. This can make it more difficult to optimize the model, as it may have multiple optimal solutions or discontinuous regions. Nonlinear programming models may use techniques such as gradient descent or Newton's method to find the optimal solution, while linear programming models typically use the simplex method. Overall, nonlinear programming models are more complex than linear programming models and require more advanced mathematical techniques to solve.
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[6.01] Samra went to San Francisco for a vacation. She spent four nights at a hotel and rented a car for two days. Andres stayed at the same hotel and also spent four nights, but he rented a car for five days from the same company. If Samra paid $500 and Andres paid $740, how much did one night at the hotel cost?
Answers
Using substitution method, the cost of hotel per night is $ 85
Let hotel cost per night = x
Let car rental per day = y
For Samra4x + 2y = 500 ____(1)
For Andres4x + 5y = 740 ____(2)
Solving for x in the equation
Equation (1) - (2)
-3y = - 240
y = 80
Substitute the value of y in (1)
4x + 2(80) = 500
4x + 160 = 500
4x = 500-160
4x = 340
x = $85
Therefore, hotel cost per night is $85
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use the side-splitter theorem to find the value of x. use similar triangle to find y
Answers
Answer:
you have to set it up step by step
Step-by-step explanation:
hope this helps you get started
I need help 911!!! I need thisss
Answers
Slope is (the change in y) / (the change in x).
The formula for slope is:
m = (y2 - y1)/(x2 - x1), with (x1, y1) being one point and (x2, y2) being the second. What you need to do is order the slopes from smallest to largest because slope means the same thing as rate of change.
#17. First, you need to find the slope of function A. To do this, I’m choosing two different points I see on the graph: (1,1) and (2,1). I now plug these into the slope formula:
m = (1-1)/(2-1) = 0/1 = 0.
The slope for function A = 0
To find the slope for function B, you can choose any two points. I’m going to use (3,0) and (6,1)
m = (1-0)/(6-3) = 1/3
The slope for function B is 1/3
For function C, you are already given the slope. That equation is in something called slope-intercept form (y=mx+b), where the x is being multiplied by the slope.
The slope on function C = 1/4
So,, A has the smallest slope, C has the second smallest slope, and B has the largest slope.
#18. The two points in using to find the slope for function A are (0,-3) and (1,0).
m = (0+3)/(1-0) = 3/1 =3
The slope for function A is 3
The two points I’m using for function B are (-2, 10) and (0, 20)
m = (20-10)/(0+2) = 10/2 = 5
The slope for function B is 5
The slope for function C is 1. When the slope is 1, it is not written because any number (other than 0) times 1 equals 1.
Function C has the smallest slope, function B has the second smallest slope, and function C had the largest slope.
It would probably be better for you to try 19 and 20 on your own, and let me or anyone else on Brainly know if you have any questions or something doesn’t make sense.
I hope this has helped!
Are the two triangles similar. If so, State how
Answers
Answer:
SAS
Step-by-step explanation: every triangle contains a total of 180 degrees if you substract 180 by 60+70(which is 130) you would get 50 degrees which is the exact degree missing in the first triangle, so after confirming that both triangles have an equal degrees on each side the answer would be SAS (which stands for Side-Angle-Side), SAS is the answer you would give to triangles that are congruent(equal)