Answer:
B
Step-by-step explanation:
The solution to the system is at the point of intersection of the 2 graphs.
The graphs intersect at 1 point
Then there is 1 real solution
Question 11(Multiple Choice Worth 5 points)
(One-Step Inequalities MC)
Which graph represents the solution to the inequality -0.25 is greater than or equal to the product of a number and -0.5?
A graph which represents the solution to the given inequality (-0.25 ≥ -0.5n) is: graph .
What is an inequality?An inequality is to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:
Greater than (>).Greater than or equal to (≥).Less than (<).Less than or equal to (≤).Translating the word problem into an inequality, we have:
-0.25 ≥ -0.5 × n
Next, we would find the solution to this given inequality in order to determine its graph:
-0.25 ≥ -0.5n
Dividing both sides by -0.5, we have:
n ≥ -0.25/-0.5
n ≥ 0.5
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By observing that f(x) = 1/(1 - 2x) is the sum of a geometric series (of the form a/(1 - r)), find the power series expansion of this function. Observation of Series: We'll observe the value of the first term or numerator aa and the common ratio r (it is the quotient of the second term to the first term) in the denominator of the rational function a1−ra1−r, plug these values in the formula of expansion. a1−r=a+ar+ar2+ar3+…a1−r=a+ar+ar2+ar3+… Where |r||r| is less than one.
The power series of the given function is 1 + (2x) + (2x)² + (2x)³+ --------------------- + (2x)ⁿ
We know very well that sum of n terms who are in geometric progression their sum of expression is given by a/1-r where a is first term and r is common ratio between the terms.
Now, we have function f(x)=[1 / (1-2x)]
On comparing with a/1-r with f(x),we get
=>a=1 and r=2x
Now, we know that first term of geometric progression is given by =1
second term of geometric progression is given by=a × r= 1 ×2x
third term of geometric progression is given by =a×r² =1×(2x)²
fourth term of geometric progression is given by=a×r³ =1 × (2x)³
nth term of geometric progression is given by =a×(r)ⁿ = 1 × (2x)ⁿ
Therefore, according to the given formula progression series of given function is=a+ ar +ar² + ar³ + -----------arⁿ
=>progression series = 1+ 2x + (2x)² + (2x)³ + --------- + (2x)ⁿ.
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Mr. Baker leaves the check-in counter at the airport and walks to a moving sidewalk, which takes him to his gate. Mr. Baker's distance (d), in meters, from the check-in counter while he has been standing on the moving sidewalk for s seconds, is described by the function d = 2s + 20.
Which statement is true?
A. Mr. Baker is 2 meters from the check-in counter after 22 seconds.
B. Mr. Baker is 20 meters from the check-in counter 24 seconds.
C. Mr. Baker moves 2 meters per second while standing on the moving sidewalk, and he walked 20 meters to get to the moving sidewalk.
D. Mr. Baker moves 20 meters per second while standing on the moving sidewalk, and he walked 2 meters to get to the moving sidewalk.
Mr. Baker moves 2 meters per second while standing on the moving sidewalk, and he walked 20 meters to get to the moving sidewalk. which is the correct answer would be an option (C).
What is the distance?Distance is defined as the product of speed and time.
The function shows Mr. Baker's distance (d), in meters, from the check-in counter while he has been standing on the moving sidewalk for s seconds. d = 2s + 20.
Here He travels at a speed of two meters per second while standing on the moving sidewalk, and he walked 20 meters to get there.
Thus, Mr. Baker moves 2 meters per second while standing on the moving sidewalk, and he walked 20 meters to get to the moving sidewalk.
Hence, the correct answer would be option (C).
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A new car is bought for $100,000. If the annual depreciation is 10%, find the value of the car after 3 years.
Remaining Amount = 100,000(1 -0.1)3
The value of the car after 3 years is $79, 000
How to determine the valueTo determine the value, we have to use the formula;
Value = Initial value × (1 - Depreciation rate)ⁿ
Substitute the values given, we get;
Remaining value after 3 years = $100,000 × (1 - 0.10)³
Expand the bracket, we get;
Value after 3 years = $100,000 × (0.90)³
Find the cube value and substitute, we have;
Value after 3 years = $100,000 × 0.729
Multiply the values, we have;
Value after 3 years = $72,900
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52. Find a vector v whose magnitude is 3 and whose component in the i direction is equal to the component in the j direction.
The vector whose magnitude is 3 and whose components I. the I and j direction are equal is; <3√2/2i, 3√2/2j>.
Which vector is as described in the task content above?It follows that the magnitude of a vector in terms of its components in the i and j direction is;
M = √(x² + y²).
On this note, since the i and j components are equal; x = y and hence, we have;
3 = √(x² + x²).
3² = 2x²
x² = 9/2
x = 3/√2
x = 3√2/2
On this note, the required vector which is as described is; <3√2/2i, 3√2/2j>.
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Log 4(x+2)^3
10
Como la resuelvo?
The equation Log 4(x+2)^3 = 10 is a logarithmic equation
The value of x in the equation is \(x = -2 + \sqrt[3]{1048576}\)
How to solve the equation?The equation is given as:
Log 4(x+2)^3 = 10
Apply the change of base rule of logarithm
(x + 2)^3 = 4^10
Evaluate the quotient
(x + 2)^3 = 1048576
Take the cube root of both sides
\(x + 2 = \sqrt[3]{1048576}\)
Subtract 2 from both sides
\(x = -2 + \sqrt[3]{1048576}\)
Hence, the value of x in the equation is \(x = -2 + \sqrt[3]{1048576}\)
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Which operation should you calculate first? 18÷3−7+2×5
Answer:
9 will be the answer.....
What’s the factor of the expression?
The answer to this question: B
Lucy says that the product of 80 ×50 should have two zeros. brock says the product should have three Zeros.
How many of hours of work is normal for a shift?
Answer: 7-9
Step-by-step explanation: normal job hours
Like an 8, a 9-5 is what most people have so over 40 hours is overtime
Which steps can be used to solve for the value of y?
2/3 (y+57)=178
A. Divide both sides by 2/3, then subtract 57 from both sides.
B. Subtract 57 from both sides, then divide both sides by 2/3.
C. Multiply both sides by 2/3, then subtract 57 from both sides.
D. Subtract 2/3 from both sides, then subtract 57 from both sides.
Answer:
A. Divide both sides by 2/3, then subtract 57 from both sides.
Step-by-step explanation:
You want to know the steps to solve 2/3(y +57) = 178 for y.
StepsThe variable has 57 added to it, and the sum is multiplied by 2/3. To solve for y, you need to undo these operations in reverse order.
First, you divide by 2/3.
y +57 = 267
Then you subtract 57.
y = 210
A skateboarder rides by my office every 12 minutes, and a cyclist rides by every 8 minutes. How long will it take for the skateboarder and cyclist to ride by at the same time?
Answer:
48 minutes
Step-by-step explanation:
In the quadrilateral below, angles DAB and BCD are the same size. What is the size of angle DAB? A D 226° 38° B
The size of angle DAB in the quadrilateral is 48°.
How to find the size of angle DAB?The sum of the interior angles of a quadrilateral is 360°. We can say:
\(\angle \text{A} +\angle\text{B} + \angle\text{C} + \angle\text{D} = 360^\circ\)
\(\angle \text{A} +38^\circ + \angle\text{C} + 226^\circ = 360^\circ\)
\(\angle \text{A} + \angle\text{C} + 264^\circ = 360^\circ\)
\(\angle \text{A} + \angle\text{C} = 360^\circ- 264^\circ\)
\(\angle \text{A} + \angle\text{C} = 96\)
Since angles DAB and BCD are the same size. This implies ∠A = ∠C. Thus:
\(\angle\text{A} + \angle\text{A} = 96\)
\(2\angle\text{A} = 96\)
\(\angle\text{A} = \dfrac{96}{2}\)
\(\angle\text{A} = 48^\circ\)
Therefore, the size of angle DAB is 48°.
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what led to the development of the aviation industry
a. the development of texas’ wwII aircraft training facilities
b. the placement of the johnson space center
c. the petrochemicals industry
d. texas’ location and climate
Texas' location and climate led to the development of the aviation industry.
What is the significance of Texas in the development of the aviation industry?
The development of the aviation industry in Texas can be attributed to its favorable geographical location and climate. Texas is located in the southern part of the United States, making it a strategic location for air travel between the east and west coasts of the country. Additionally, its warm and dry climate provided ideal conditions for flight testing and training.
Reason what led to the development of the aviation industry :
Texas has a long history of aviation, with the Wright brothers conducting one of their earliest flight demonstrations in the state in 1910. The establishment of military bases during World War II and the subsequent development of aircraft training facilities in Texas further fueled the growth of the aviation industry in the state. Additionally, the placement of the Johnson Space Center in Houston helped to establish Texas as a hub for aerospace research and development. However, it is Texas' favorable location and climate that truly made it a prime location for the aviation industry. Its central location made it a strategic location for air travel and logistics, while its warm and dry climate provided ideal conditions for flight testing and training. Today, Texas remains one of the top states for aviation and aerospace industries, with major airports, aircraft manufacturers, and research institutions located throughout the state.
Therefore, option (d) is correct.
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1. Find the surface area using the net 20 m 12 m 12 m 2. Find the surface area.
Answer:
1248
Step-by-step explanation:
Surface are of a rectangular prism can be found using:
A=2(wl+hl+hw)
Plug in the given values of
l= 12m
w=12m
h=20m
to this equation and you get:
1248
Maria used a thermometer to record temperatures of -4.3° Celsius and 2.1°
Celsius. Which temperature in degrees Celsius is less than both of the
temperatures Maria recorded? (I need an explanation please as well!)
Answer:
did you get the answer yet
do 4 x + 15 + x have the same value when it's 5
Answer:
If you mean 4x = 15 + x, then yes.
Step-by-step explanation:
4 × 5 = 20
15 + 5 = 20
20 = 20
Which graph has a slope of 1/4 unit greater than a slope of the graph of y=x -2
In this problem, we are trying to compare linear functions from a graph to a given equation.
The Equation:
\(y=x-2\)According the the instructions, we want a graph with a slope that is 1/4 greater than the equation.
Since the slope of the equation is m = 1, the slope of the graphed line should be
\(1+\frac{1}{4}=\frac{5}{4}\)Let's check each answer choice.
The slope of graph A is 3/4, so that won't work for us.
The slope of graph B is 1/2.
Although it's a bit off-centered with respect to the line in the image provided, we can see the graph of C has the slope 5/4. Therefore Graph C is the correct graph.
1. Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. The sum is 6, given that the green one is either 4 or 1.
2. Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. The red one is 6, given that the sum is 11.
Answer:
1. 1/6
2. 1/6
Step-by-step explanation:
Let A be the event that the sum of the two die is 6 and B be an event that the green die is either 4 or 1.
The conditional probability will be given by P (A/B) = P (A∩B)/ P (B).
Now the total sample space consists of 36 outcomes .
And to find (A∩B) we need to find the outcomes in which green die is either 4 or 1 and the sum of the two die is 6.
So when green is 1 red must be 5
So when green is 4 red must be 2
So there are two ways in which green die is either 4 or 1 and the sum of the two die is 6.
Therefore the probability of (A∩B)= P (A∩B)= 2/36= 1/18
Now we find the probability of green die having 4 or 1
So when green is 4 red can have all the numbers from 1- 6
And when green is 1 red can have all the numbers from 1- 6
The total number would be 12 .
So probability of green die having 1 or 4 is given by = P (B)= 12/36
Now the conditional probability = P (A/B) = P (A∩B)/ P (B)=1/18/ 1/3
= 3/18= 1/6
2. Similarly we find the conditional probability of the two die when the red one is 6, given that the sum is 11.
When red is 6 the green must be 5 to get 11. So the probability
=P (A∩B)= 1/36
Now we find the probability of red die having 6 =P(B)= 6/36
Now the conditional probability = P (A∩B)/P(B) = 1/36/ 6/36= 1/6
Answer 1:
Let A be the event that the sum of the two die is 6 Let B be an event that the green die is either 4 or 1.
Conditional probability Formula :
P (A/B) = P (A∩B)/ P (B).
Total sample space=36 outcomes
Conditions are :
So when green is 1 red must be 5 So when green is 4 red must be 2 So there are two ways in which green die is either 4 or 1 and the sum of the two die is 6.
The probability of (A∩B)= P (A∩B)= 2/36= 1/18
Now we find the probability of green die having 4 or 1
When green is 4 red can have all the numbers from 1- 6
And when green is 1 red can have all the numbers from 1- 6
Total number = 12
P (B)= 12/36
Therefore, conditional probability = P (A/B)
P (A/B) = P (A∩B)/ P (B) P (A/B)=1/18/ 1/3 P (A/B)= 3/18 P (A/B)= 1/6
The conditional probability of the indicated event when two fair dice are rolled will be 1/6.
Answer 2:
Let A be the event that the sum of the two die is 6 Let B be an event that the green die is either 4 or 1. The sum is 11.
Condition :
When red is 6 the green must be 5 to get 11.
P (A∩B)= 1/36
The probability of red die having 6 =P(B)= 6/36
The conditional probability= P (A∩B)/P(B)
P (A∩B)/P(B) = 1/36/ 6/36P (A∩B)/P(B)= 1/6The conditional probability of the indicated event when two fair dice are 1/6.
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Find the missing value
Answer:
the answer to this question is 19
Answer: m=19
Step-by-step explanation:
First you cross multiply the two fractions. So you get 9*m = 57*3.
When you put 57*3 in a calculator you get 171. So the equation is 9m=171 and then to isolate the x you divide by 9. So when you put 171/9 in a calculator you get 19. So the correct answer is C. 19.
Quadrilateral EFGH is an isosceles trapezoid with bases EH and FG. The measure of angle HGF is (9y + 3)°, and the measure of angle EFG is (8y + 5)°. What is the measure of angle HGF?
Answer:
21°
Step-by-step explanation:
In an sosceles trapezoid, the lower base and upper base angles are congurent
⇒ ∠HGF = ∠EFG
⇒ 9y + 3 = 8y + 5
⇒ 9y - 8y = 5 - 3
⇒ y = 2
⇒ ∠HGF = 9(2) + 3
= 18 + 3
= 21
The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.
Explanation:This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.
Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.
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Surface area of a cube or a rectangular prism
Find the surface area of this cube. Be sure to include the correct unit in your answer.
cm
cm?
4 cm
4 cm
Х
4 cm
Answer:
96 cm^2
Step-by-step explanation:
All faces of a cube are equal in area.
Therefore the Formula for SA of a cube is 6*s^2
SA = 6*4*4 = 96
Solve the attached question(Trigonometry)
No Spam!
Step by step explanation needed!
Answer: \(-\csc x\)
Step-by-step explanation:
I will be writing 'csc' instead of 'cosec'.
Since \(\csc x\) has a period of \(2\pi\),
\(\csc(5\pi+x)=\csc(3\pi+x)=\csc(\pi+x)=\boxed{-\csc x}\)
Solve the solution as an ordered pair
X + 9 = y
X = 4y - 6
Answer:
-10, -1
Step-by-step explanation:
See Image below:)
3. The difference between two numbers is 5
Answer:
The difference of two numbers is 5 and the difference of their reciprocals is 1/10. find the no.s
Step-by-step explanation:
⇒ x(x-5) = 50
⇒ x2 - 5x - 50 = 0
⇒ x2 - 10x + 5x - 50 = 0
⇒ x (x - 10) + 5 (x - 10) = 0
⇒ (x+5) (x-10) = 0
⇒ (x+5) (x-10) = 0
⇒ x = -5 or 10
⇒ x = 10 (x = -5 , rejected)
INSTRUCTIONS: Find the slope of the line and enter it here: INSTRUCTIONS: Find the slope of the line and enter it here: INSTRUCTIONS: Find the slope of the line and enter it here: 2. Find the y-intercept of the line & enter it here: Find the y-intercept of the line & enter it here: Find the y-intercept of the line & enter it here: Write the equation of the line in form y=mx+b Write the equation of the line in form y=mx+b Write the equntion of the line in form ymx +b 5 6 4
Equation of a line
The equation of a line in the slope-intercept form is:
y = mx + b
Where m is the slope of the line and b is the y-intercept.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)We need to identify two clear points through which the line passes. We select the points (0,-3) and (4,5). Calculate the slope:
\(\displaystyle m=\frac{5+3}{4-0}=\frac{8}{4}=2\)1. The slope is m=2
The y-intercept of the line is the y-coordinate of the point where the line crosses the y-axis.
2. We can see the line crosses the y-axis at the point (0,-3), thus the y-intercept is b=-3.
3. The equation of the line is written as follows:
y = 2x - 3
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Required:
Develop a confidence interval estimate of the population mean rating for Miami.
Answer: 6.8622 ; 8.1778
Step-by-step explanation:
Given the data:
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Assume a confidence interval of 95%
Using calculator :
The mean of the distribution (m) = 7.52
Standard deviation (s) = 2.314
Sample size),
Obtaining the t score ;
Degree of freedom (df) = (n-1) = 50 - 1 = 49
t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)
Margin of Error :
2.01 * s/√n = 2.01 * 2.314/7.0710678
Margin of Error (E) = 0.6578
Confidence interval:
(Mean - E) ≤μ≤ (mean + E)
(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)
6.8622 ≤μ≤ 8.1778
1. UV = 8 and WX = 5
TU=
WU=
TX=
TV=
All sides of a rhombus have equal measures, so TU = 8. Since a rhombus is a parallelogram, and the diagonals of a parallelogram bisect each other, WU = 10. The diagonals of a rhombus are also perpendicular, meaning they form right angles. Using the Pythagorean theorem, you can find the length of TX. (TX)^2 + (WX)^2 = (WT)^2. Substituting in known values, (TX)^2 + 25 = 64. Solving gives you TX = the square root of 39. TV is double the length of TX, so TV = 2 times the square root of 39.
Solve the following equation for x
a. x=1
b. x=2
C. X=-1
d. x=-2
Answer:
Factor using difference of cubes and set each factor equal to
0 . x = − 1 ,1 + i √ 3 2, 1 − i √ 3 2
Step-by-step explanation:
D i think
Why do you think influences exchange rates?
(Subject: Economics)