Answer:
X >= 0
X <= 4
Step-by-step explanation:
3 |1/2x-1| + 10 >= 7
3 | 1/2x - 1| >= 7 - 10
| 1/2x - 1 | >= -3/3
| 1/2x - 1 | > = -1
1/2x - 1 >= - 1 or 1/2x - 1 <= 1
1/2x >= 0
x >= 0
1/2x -1 <= 1
1/2x <= 2
x <= 2/(1/2)
x <= 4
Mr. Tuyen uses 7/8 of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr. Tuyen use in 5 weeks?
Answer:
35/8; 5 2/8
Step-by-step explanation:
7/8 × 5 = 35/8
35/8 should be simplified down to 5 and 2/8th tanks
What is the distance between the points (−2.5, 6.5) and (2.5, 6.5)?
Answer: 5 units
Step-by-step explanation: The two points have the same y-coordinate so they are on a horizontal line. The distance between them is the difference in their x-coordinates:
2.5 -(-2.5) = 2.5 +2.5 = 5.0
The distance between the points is 5 units.
find the measures of the numbered angles in rhombus defg. Anyone, please help I'm stuck!!
Answer:
The answer are
\(m < 1 = 27 \\ m < 2 = 27 \\ m < 3 = 90 \\ m < 4 = 27 \\ m < 5 = 63 \\ m < 6 = 63\)
5. What is the principal square root of -25?
-5
No Real Number
5
1/5
Answer:
no real number
Step-by-step explanation:
no square root of neg. num.
if my anwser helps please mark as brainliest.
(b) In a sale the original prices are reduced by 15%.
(i) Calculate the sale price of a book that has an original price of $12.
$
(ii)
Calculate the original price of a jacket that has a sale price of $38.25.
Answer:
(i): $10.20
(ii): $32:51
Step-by-step explanation:
(i) 1. put the percentage of the discount into a decimal: 0.15
2. multiply 0.15 by the sale price to find the amount of the discount: $1.80
3. subtract the discount, $1.80, from the original price, $12: $10.20
(ii) 1. put the percentage of the discount into a decimal: 0.15
2. multiply 0.15 by the sale price to find the amount of the discount: $5.74
3. subtract the discount, $5.74, from the original price, $38.25: $32.51
(i) The sale price of the book of original price $12 is $10.20.
(ii) The original price of the jacket is $38.25.
What is the percentage?The percentage is a calculation method for every 100.
How to calculate the sale price?The original price of a book is $12.
In a sale the original prices are reduced by 15%.
∴ Price reduced = $(12*15%)
=$ 1.80
Hence, the sale price is = $(12-1.80)
=$10.20
What is discounted price?The discounted price is the price a buyer pays after getting a discount of marked price.
How to calculate original price?Here, the sale reduces price by 15%
The discounted price is equivalent to = (100-15)%
=85%
By the condition ,
85% = $38.25
∴100%= $(38.25/85*100)
=$ 45
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Given the matrix mat_A below: In [5] : mat_A = numpy . array ( [ [3, 4,5] , [4, 5, 6] , [7,8,9]]) a). Find
the largest eigenvalue of mat_A , save it to variable eig val . In [17] : In [ ] : b). Find the normalized eigenvector
that corresponds to the largest eigenvalue, save it to variable eig vec . In [ ] : In [ ] :
a) Use `numpy.linalg.eigvals` on `mat_A` to find all eigenvalues and save the largest eigenvalue to variable `eigval`. b) Use `numpy.linalg.eig` on `mat_A` to find eigenvalues and eigenvectors, then normalize the eigenvector corresponding to the largest eigenvalue and save it to `eigvec`.
To find the largest eigenvalue of a given matrix `mat_A`, you can use the `eigvals` function from the NumPy library. Here's how you can do it:
```python
import numpy as np
mat_A = np.array([[3, 4, 5], [4, 5, 6], [7, 8, 9]])
# Step 1: Calculate eigenvalues
eigvals = np.linalg.eigvals(mat_A)
# Step 2: Find the largest eigenvalue
largest_eigval = max(eigvals)
# Step 3: Save the largest eigenvalue to a variable (eigval)
eigval = largest_eigval
```
Now, to find the normalized eigenvector that corresponds to the largest eigenvalue, you can use the `eig` function from the NumPy library. Here's how you can do it:
```python
import numpy as np
mat_A = np.array([[3, 4, 5], [4, 5, 6], [7, 8, 9]])
# Step 1: Calculate eigenvalues and eigenvectors
eigvals, eigvecs = np.linalg.eig(mat_A)
# Step 2: Find the index of the largest eigenvalue
largest_eigval_index = np.argmax(eigvals)
# Step 3: Get the corresponding eigenvector
largest_eigvec = eigvecs[:, largest_eigval_index]
# Step 4: Normalize the eigenvector
normalized_eigvec = largest_eigvec / np.linalg.norm(largest_eigvec)
# Step 5: Save the normalized eigenvector to a variable (eigvec)
eigvec = normalized_eigvec
```
Please note that these steps assume you have imported the NumPy library as `np`. Also, keep in mind that the normalized eigenvector may have complex numbers if the matrix `mat_A` has complex eigenvalues.
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list and describe two specialized alternatives not often used as a continuity strategy. quizlet
1. P-adic Numbers:
P-adic numbers are a specialized alternative not commonly used as a continuity strategy in mathematics. They are an extension of the real numbers that provide a different way of measuring and analyzing numbers. P-adic numbers are based on a different concept of distance, known as the p-adic metric. This metric assigns a measure of closeness or distance between numbers based on their divisibility by a prime number, p. P-adic numbers have unique properties and can be useful in number theory, algebraic geometry, and other branches of mathematics. However, they are not typically employed as a continuity strategy in practical applications.
2. Nonstandard Analysis:
Nonstandard analysis is a mathematical framework that provides an alternative approach to calculus and analysis. It introduces new types of numbers called "infinitesimals" and "infinite numbers" that lie between the standard real numbers but are infinitely smaller or larger than any real number. Nonstandard analysis allows for more rigorous treatment of infinitesimal quantities and provides a different perspective on limits, continuity, and differentiation. While nonstandard analysis has theoretical implications and can provide valuable insights in mathematical research, it is not commonly used as a continuity strategy in practical applications where standard analysis and calculus are more prevalent.
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t/f) when calculating the standard error for p-hat, we use the p-hat not the p under h null. true false
The given statement when calculating the standard error for p-hat, we use the p-hat not the p under h null is false.
When calculating the standard error for p-hat (the sample proportion), we use the value of p under the null hypothesis (p₀) rather than the observed sample proportion (p-hat). This is because the standard error is an estimate of the variability or uncertainty in the sample proportion compared to the population proportion assumed under the null hypothesis.
The standard error formula for p-hat is:
SE(p-hat) = sqrt[(p₀ * (1 - p₀)) / n]
Here, p₀ represents the hypothesized population proportion under the null hypothesis, and n is the sample size. We use p₀ because it represents the proportion assumed to be true in the population when there is no evidence to reject the null hypothesis.
Using p-hat (the observed sample proportion) instead of p₀ would not accurately reflect the assumptions made under the null hypothesis and could lead to incorrect inference and conclusions.
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Reggie can line a football field in 120 minutes. Rosalinda can line a football field in 80 minutes. If they work together, how many minutes does it take them to line a football field? (2 points) 40 minutes 48 minutes 200 minutes 240 minutes
Answer:
40?
Step-by-step explanation:
a9=35 d=4
write the value for the 9th term of the sequence
Given:
\(a_9=35\)
\(d=4\)
To find:
The value for the 9th term of the sequence.
Solution:
We have,
\(a_9=35\)
\(d=4\)
Here, d is the common difference. It means the given sequence is an arithmetic sequence.
We know that the nth term of an arithmetic sequence is:
\(a_n=a_1+(n-1)d\)
Where, \(a_1\) is the first term and d is the common difference.
If nth term is \(a_n\), then the 9th term is \(a_9\) and the value of \(a_9\) is given.
\(a_9=35\)
Therefore, the value for the 9th term of the sequence is 35.
what is 900,000 in scientific notation
Answer: 9 • 10⁵
-----------------------------------------------------------------------------------------
Compare each side of the equation 65 ÷ 5 = 87 ÷ 3 to determine if it is true or false.
\(65 \div 5 = 87 \div 3 \\ 15 = 29\)
So, False
Answer:
The equation is false
Step-by-step explanation:
65 ÷5 = 13
87 ÷ 3 = 29
13 and 29 are not equal thus making the equation false.
The equation 1/x=0 has no solution. True or False
Answer:
True
Step-by-step explanation:
1/x = 0
x(1/x)=(0)x
1 isn't equal to 0
Help meeeeeeeeeeeeee
Answer:
143.30
you can give me more
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
a I think
Step-by-step explanation:
I dont know how to explain if its not im sorry
Select the ones that are right triangles
Answer:
All triangles
Step-by-step explanation:
They all show right angles.
What is the mode for the month?
A) 22
B) 20
C) 21
D) 20.4
Verify the divergence theorem for the given region W, boundary ∂W oriented outward, and vector field F. W = [0, 1] ✕ [0, 1] ✕ [0, 1] F = 2xi + 3yj + 2zk
Verify the divergence theorem for the given region W, boundary ∂W oriented outward, and vector field F. W = [0, 1] ✕ [0, 1] ✕ [0, 1] F = 2xi + 3yj + 2zk
The divergence theorem is correct and verified by using the formula S = ∫∫(F . n) dS = ∫∫∫(∇ . F) dV where,∇ . F is the divergence of the given vector field.
Divergence theorem: The divergence theorem states that the flux of a vector field through a closed surface is equal to the volume integral of the divergence over the region enclosed by the surface. Here, it is given to verify the divergence theorem for the given region W, boundary ∂W oriented outward, and vector field F, which is given as,W = [0, 1] x [0, 1] x [0, 1]F = 2xi + 3yj + 2zkHere, we need to find the flux of the given vector field through the boundary of the given region W using the divergence theorem. We know that the flux of a vector field F through the closed surface S is given by, Flux of F through S = ∫∫(F . n) dS Where n is the outward pointing unit normal to the surface S.In the divergence theorem, the flux of F through the closed surface S is given by, Flux of F through S = ∫∫(F . n) dS = ∫∫∫(∇ . F) dV where,∇ . F is the divergence of the given vector field F and V is the volume enclosed by the surface S.Now, let us find the divergence of the given vector field F, which is given by,F = 2xi + 3yj + 2zk
∇ . F = ∂(2x)/∂x + ∂(3y)/∂y + ∂(2z)/∂z= 2 + 3 + 2= 7
Therefore, the divergence of the given vector field F is 7.
Now, let us find the volume of the given region W using the triple integral, Volume of W = ∫∫∫dV= ∫[0,1]∫[0,1]∫[0,1]dxdydz= ∫[0,1]∫[0,1]1dx dy= ∫[0,1]dx= 1
Therefore, the volume of the given region W is 1. Now, using the divergence theorem, we can find the flux of the given vector field F through the boundary of the given region W, which is given by, Flux of F through the boundary of W = ∫∫(F . n) dS = ∫∫∫(∇ . F) dV= ∫∫∫ 7 dV= 7 * Volume of W= 7 * 1= 7. Therefore, the flux of the given vector field F through the boundary of the given region W is 7.
Hence verified.
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what is 0.12121212121
Answer:
I believe it is 0.12 repeating
Step-by-step explanation:
Am I right
graph shows the
5
AY
-5-
5
pare
Which statement best describes the function?
OA. The function is always positive.
B. The function is positive when x<0.
OC. The function is positive when x<0 and when x > 0.
D. The function is positive when x > 0.
Answer: D
Step-by-step explanation:
A. False. The graph is below the x axis for negative x.
B. False. See A.
C. False. See A.
D. True.
The given function is positive when x > 0. The correct answer is option D.
The graph of the cube root parent function starts at the origin (0, 0) and increases as x moves to the right, maintaining a positive value for positive x values.
The graph of the cube root parent function, f(x) = ∛x, is positive when x > 0.
This is because the cube root of a positive number is always positive.
For positive values of x, the cube root function returns the unique real number whose cube equals x.
However, when x < 0, the cube root function returns a negative number since the cube of a negative number is negative.
Therefore, the function is positive only when x is greater than 0.
Hence, the correct answer is option D.
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Choose the function that correctly identifies the transformation of f(x) = x2 shifted three units to the left and five units up.
og*) = (x - 3)2-5
og(x) = (x - 3)2 + 5
og(x) = (x + 3)2 + 5
o g() = (x + 3)2-5
The functions that correctly identify the transformation of f(x) = x² shifted three units to the left and five units up is
g(x) = (x + 3)² + 5
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The function that correctly identifies the transformation of f(x) = x² shifted three units to the left and five units up is:
g(x) = (x + 3)² + 5
To see why, we can use the following steps:
To shift a function three units to the left, we replace "x" with "(x + 3)".
This is because for any value of "x", "x + 3" represents a point that is three units to the left of "x".
To shift a function five units up, we add 5 to the entire function.
This is because for any value of "x", the value of the function is increased by 5 units.
Combining these transformations, we get:
g(x) = (x + 3)² + 5
This function represents a parabola that is shifted three units to the left and five units up from the original function f(x) = x^2.
Thus,
The functions that correctly identify the transformation of f(x) = x² shifted three units to the left and five units up is
g(x) = (x + 3)² + 5
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6.
A. \(-\frac{1}{5}\)
B. \(\frac{x1}{5}\)
C. –5
D. 5
Answer:
\(\frac{1}{5}\)
Step-by-step explanation:\(d=-1\frac{1}{5}-(-2) =-1\frac{1}{5}+2=\frac{1}{5}\)
Which of the following liquids has the greatest density?
a) 1.3
with a mass of 2.3 g
b) 3.5
with a mass of 10 g
c) 0.022
with a mass of 0.10 g
d) 5.4
with a mass of 0.64 g
e) 0.21
with a mass of 0.12 g
the option c) has the greatest density of approximately 4.545 g/cm³.
To determine the liquid with the greatest density, we can calculate the density for each option using the formula:
Density = Mass / Volume
a) Density = 2.3 g / 1.3 cm³ ≈ 1.769 g/cm³
b) Density = 10 g / 3.5 cm³ ≈ 2.857 g/cm³
c) Density = 0.10 g / 0.022 cm³ ≈ 4.545 g/cm³
d) Density = 0.64 g / 5.4 cm³ ≈ 0.118 g/cm³
e) Density = 0.12 g / 0.21 cm³ ≈ 0.571 g/cm³
Comparing the calculated densities, we find that option c) has the greatest density of approximately 4.545 g/cm³. Therefore, option c) is the liquid with the highest density among the given options.
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Complete question is below
Which of the following liquids has the greatest density?
a) 1.3 cm³ with a mass of 2.3 g
b) 3.5 cm³ with a mass of 10 g
c) 0.022 cm³ with a mass of 0.10 g
d) 5.4 cm³ with a mass of 0.64 g
e) 0.21 cm³ with a mass of 0.12 g
PLss answer
Given f(x) = 2x − 3 and g(x) = f(3x), which table represents g(x)?
The table which represents the function g(x) is: answer option A.
x g(x)
1 -3
2 3
3 9
What is a function?In Mathematics, a function can be defined as a mathematical expression which can be used to define and show the relationship that exist between two or more variables in a data set.
This ultimately implies that, a function typically shows the relationship between input values and output values of a data set, as well as showing how the elements in a table are paired (mapped).
When x = 1, the function f(x) is given by:
f(x) = 2x − 3
f(1) = 2(1) − 3
f(1) = 2 - 3
f(1) = -1.
Therefore, the function g(x) = f(3x) = 3 × -1 = -3.
When x = 2, the function f(x) is given by:
f(x) = 2x − 3
f(2) = 2(2) − 3
f(2) = 4 - 3
f(2) = 1.
Therefore, the function g(x) = f(3x) = 3 × 1 = 3.
When x = 3, the function f(x) is given by:
f(x) = 2x − 3
f(3) = 2(3) − 3
f(3) = 6 - 3
f(3) = 3.
Therefore, the function g(x) = f(3x) = 3 × 3 = 9.
In conclusion, the table which represents the function g(x) is as follows:
x g(x)
1 -3
2 3
3 9
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Answer: A
Step-by-step explanation:
rxl ontop
Victoria made some chocolate pudding. For every 2 cups of chocolate, she added 5 cups of milk. The ratio of chocolate to milk in Victoria's chocolate pudding is ____.??
A. 2
B. 2 over 5
C. 5 over 2
Answer:
B. 2 Over 5
Step-by-step explanation:
The answer would be B because 2 cups of chocolate to 5 cups of milk the ratio would be 2:5 and you can't put 5:2 because it's asking the ratio of chocolate milk to chocolate pudding not chocolate pudding to chocolate milk.
Claire owns a local bakery and sells boxes of muffins. Each box contains 6 muffins. If she sells 7 boxes of muffins by closing time on Thursday, how many muffins did she make to fill all the boxes that she sold?
42
0.9
1
13
Answer: Claire made 42 muffins by closing time
Step-by-step explanation:
Pretty simple math just multiply 6 muffins by 7 boxes and you get your answer.
a sociologist develops a test designed to measure attitudes about disabled people and gives the test to 16 randomly selected subjects. their mean score is 71.2 with a standard deviation of 10.5. construct the 99 percent confidence interval for the mean score of all subjects.
The 99 percent confidence interval for the mean score of all subjects lies greater than 63.464 and less than 78.936.
Given:
No. of samples (n)= 16
df = n-1 = 16 -1 = 15
The mean score is 71.2
The standard deviation = 10.5.
So, from the t-distribution of critical values table through the above-mentioned details. We get the values:
Alpha / 2 = 0.005
z = 99/100 + 0.005 = .99 + .005 = .995
Sample mean = xbar = 76.2
t = 2.947
The formula for standard error = E = value of t (at z, and df) / S.D./sqrt(n)
i.e. E = 2.947 x 10.5 / sqrt 16 = 7.736
I = 71.2 +/- E = 71.2 +/- 7.736
99 percent confidence interval - 71.2 +/- 7.736
Adding both sides 7.736 for range. We get,
63.464 < u < 78.936
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in HIJ the measure of J=90 feet, JH=81 feet, HI=9 feet. Find the measure of I to the nearest degree. (Please answer how you got this answer)
Answer:
63°
Step-by-step explanation:
1) Examing that right triangle, we can find the value of the angle x starting by using a trig ratio and then its reciprocal. Like this:
sin( x ) = 81/91
x = arcsin (81/91)
x = 62.88 = 63
Notice we have the opposite leg and the hypotenuse, so we started with the sine. And to find the value of the angle the arcsin.
2) So, that angle x is 63° (rounding off to the nearest degree)
1) Chelsea and Matt each improved their yards by planting daylilies and ivy. They bought their
supplies from the same store. Chelsea spent $81 on 1 daylily and 8 pots of ivy. Matt spent $189
on 10 daylilies and 11 pots of ivy. Find the cost of one daylily and the cost of one pot of ivy.
Answer:
One daylily costs $9, and one pot of ivy costs $9.
Step-by-step explanation:
Step 1: Write a System of Algebraic Equations
We are given 2 different variables, or "unknowns", that we need to find the value of here - the cost of one daylily, and the cost of one pot of ivy. We know that the cost of each plant remains constant (doesn't change), and we are given the following information:
1 daylily and 8 pots of ivy cost $81.10 daylilies and 11 pots of ivy cost $189.We can see that we have a system of equations in the making. The first thing to do when writing a system is assign letters to variables. Let's let the cost of one daylily be denoted as \(d\), and the cost of one pot of ivy be denoted as \(i\) (in dollars for each). From the above information, we can write the system:
\(d+8i=81 \hspace{0.8cm} (1)\\10d+11i=189 \hspace{0.1cm} (2)\)
Step 2: Solve the System (with Substitution)
Now that we have a solution, let's use it to solve for the value of each variable. There are many ways to do this (addition, subtraction, etc), but it seems that the quickest way to solve this particular system is using the substitution method. This is where you write one variable in terms of the others by manipulating one equation, and then substituting that expression in for the isolated variable in the other equation. It's easy to do this here because we already have a \(d\) in (1).
Isolating \(d\) in (1) by subtracting \(8i\) from both sides, we get:
\(d+8i=81\\d=81-8i\hspace{0.5cm} (3)\)
Substituting (3) into (2) and solving for i, we get:
\(10d+11i=189\\10(81-8i)+11i=189\\810-80i+11i=189\\810-69i=189\\-69i=-621\\\bf i=9\)
Substituting this value into (3), we get:
\(d=81-8i\\=81-8*9\\=81-72\\=\bf9\)
Therefore, one daylily costs $9, and one pot of ivy costs $9.
To win trivia game ,Nevan must score 90 points.each correct answers is worth 1 3/4 points, and each incorrect answer is worth "-1/4" points.if he gets 58 questions correct and 22 questions incorrect, does nevan win?how many points does he score?
Answer:
Yes, Nevin scored 96 points.
Step-by-step explanation:
\((58 \times 1.75) - (22 \times .25)\)
\(101.5 - 5.5 = 96\)