Answer:
First choice
-∞ < y< ∞
Step-by-step explanation:
In this function,we need to use graph in order to find out the range.
Graph is attached.
\( \boxed{ - \infty < y < \infty }\)HELP ME FAST PLZ HELP ME!!!
Answer:
267000 is the answer
Step-by-step explanation:
2x + 5y = -24
3x - 5y = 14
Solve by elimination
y and x
Answer:
x = -2
y = -4
Step-by-step explanation:
The way systems of equations work is that you have to substitute to solve for a variable *(only one of the 2 ways to figure this out)*
so, we will use addition property of equality in a form to add the two equations together, since +5y and -5y added together will cancel out.
that would leave
5x = -10
divide both sides by 5
x = -2
Now that we know x = -2, we can plug in -2 into one of the equations to find y.
2 ( -2) + 5y = -24
-4 + 5y = -24
-4 + 4 + 5y = -24 + 4
5y = -20
y = -4
x = -2
y = -4
You need to cut a 16 foot long 2x4 into 3.5ft sections. How many ehole sections will you have
in july 2008, the united states had a population of approximately 302,000,000 people. how many americans were there in july 2009, if the estimated 2008 growth rate was 0.88%? group of answer choices 567,760,000 304,657,600 2,657,600 304,000,000
There were approximately 304,657,600 Americans in July 2009. The correct answer is 304,657,600. In July 2009, the estimated population of the United States would be 304,657,600 people. To calculate this, we need to take the 2008 population of 302,000,000 and multiply it by the growth rate of 0.88%.
First, we need to find the amount of growth that occurred between 2008 and 2009. We can do this by multiplying the 2008 population by the growth rate:
302,000,000 x 0.88% = 2,657,600
This tells us that the population increased by 2,657,600 people from 2008 to 2009. To find the total population in 2009, we need to add this growth to the 2008 population:
302,000,000 + 2,657,600 = 304,657,600
Therefore, in July 2009, the estimated population of the United States would be 304,657,600 people, based on a growth rate of 0.88%.
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DUE TOMORROW PLEASE HELP AND DONT TRY TO ANSWER WRONG TO GET POINTS PLEASE!!!!!!!!!!!!!!!
At a certain time, the end of the minute hand of the clock below centered at (0, 0) has coordinates approximately (7.5, 7.5). How long is the minute hand of the clock if each grid square is one inch by one inch? Explain your reasoning
The length of the minute hand of the clock is given as follows:
10.6 inches.
How to calculate the distance between two points?Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).
The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
The ordered pairs for this problem are given as follows:
(0,0) and (7.5, 7.5).
Hence the distance between the two points, representing the length of the minute hand, is given as follows:
d = sqrt(7.5² + 7.5²)
d = 10.6 inches.
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find the area between a large loop and the enclosed small loop of the curve r = 2 + 4 cos(3θ).
Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is 70π/3.
To find the area between the large loop and the small loop of the curve, we need to find the points of intersection of the curve with itself.
Setting the equation of the curve equal to itself, we have:
2 + 4cos(3θ) = 2 + 4cos(3(θ + π))
Simplifying and solving for θ, we get:
cos(3θ) = -cos(3θ + 3π)
cos(3θ) + cos(3θ + 3π) = 0
Using the sum to product formula, we get:
2cos(3θ + 3π/2)cos(3π/2) = 0
cos(3θ + 3π/2) = 0
3θ + 3π/2 = π/2, 3π/2, 5π/2, 7π/2, ...
Solving for θ, we get:
θ = -π/6, -π/18, π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6
We can see that there are two small loops between θ = -π/6 and π/6, and two large loops between θ = π/6 and π/2, and between θ = 5π/6 and 7π/6.
To find the area between the large loop and the small loop, we need to integrate the area between the curve and the x-axis from θ = -π/6 to π/6, and subtract the area between the curve and the x-axis from θ = π/6 to π/2, and from θ = 5π/6 to 7π/6.
Using the formula for the area enclosed by a polar curve, we have:
A = 1/2 ∫[a,b] (r(θ))^2 dθ
where a and b are the angles of intersection.
For the small loops, we have:
A1 = 1/2 ∫[-π/6,π/6] (2 + 4cos(3θ))^2 dθ
Using trigonometric identities, we can simplify this to:
A1 = 1/2 ∫[-π/6,π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ
Evaluating the integral, we get:
A1 = 10π/3
For the large loops, we have:
A2 = 1/2 (∫[π/6,π/2] (2 + 4cos(3θ))^2 dθ + ∫[5π/6,7π/6] (2 + 4cos(3θ))^2 dθ)
Using the same trigonometric identities, we can simplify this to:
A2 = 1/2 (∫[π/6,π/2] 20 + 16cos(6θ) + 8cos(3θ) dθ + ∫[5π/6,7π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ)
Evaluating the integrals, we get:
A2 = 80π/3
Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is:
A = A2 - A1 = (80π/3) - (10π/3) = 70π/3
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How many degrees are in a full circle?
Answer: 360
Step-by-step explanation:
done
In right triangle ABC, ZB is the right angle and mZC = 30°. If AC= 10, what Is AB?
OA 5
OB. 5√3
OC 20
OD. 5√3
Answer:
i think its c wouldve helped if i saw a pic of the triangle tho
Step-by-step explanation:
The length of side AB is 5√3.
Option B is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
We can use trigonometry to solve this problem.
Let's start by finding the length of BC.
sin(30°) = BC/AC
sin(30°) = BC/10
BC = 5
Now, we can use the Pythagorean theorem to find the length of AB.
AB² = AC² - BC²
AB² = 10² - 5²
AB² = 75
AB = 5√3
Therefore,
The length of side AB is 5√3.
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Question 1
S
For f(x) = -5x – 2, evaluate f(5).
-32
-27
23
-15
Answer:
Step-by-step explanation:
f(5) = -5(5) - 2 = -25 - 2 = -27
answer is B
The graphs below have the same shape. What is the equation of the blue
graph?
A. g(x) = (x+4)^2
b. g(x) = x^2-4
c. g(x) = x^2+4
d. g(x) = (x-4)^2
(D) \(g(x)=(x-4)^{2}\)
Graphs:The set of ordered pairings (display style \((x,y)\)) of a function (display style \(f(x)=y\)) in mathematics is known as the graph of that function. These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the typical case where "display style \(x\)" and "display style \(f(x)\)" are real values.Graph equations:Equations with graphs as the unknowns are known as graph equations in graph theory. The concept of isomorphism is one of the key issues in graph theory. Different graph equations may be used to express the aforementioned graphs.Therefore, the correct equation for the blue graph is \(g(x)=(x-4)^{2}\).
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Write the equation of the line with the given properties then choose the graph that fits the equation of the line.The line passes through (-5,3) and is perpendicular to the x-axis. (Type and equation. Simplify)
Given the point:
(x, y) ==> (-5, 3)
Let's write the equation of the line that passes through the point and is perpendicular to the
x-axis.
Since the line is perpendicular to the x-axis, it will be parallel to the y-axis.
Therefore, the equation of the line will be the x-coordinate of the point.
The line is a vertical line which passes through x = -5
Hence, we have the equation of the line:
x = -5
To graph the line, draw a vertical line that passes through x = -5.
ANSWER:
x = -5
Mary and Jane have $48 to share in the ratio 3:5. How much did each girl 2 points
receive? (SHOW WORKING)
Answer:
Mary- $18
Jane- $30
Step-by-step explanation:
Add the numbers in the ratio together to get 8, and multiply 8 by the variable of x. Divide the total amount of money that both girls earned by 8. You will get x=6. Multiply 6 by 3 to get the amount of money Mary earned, which is 18, and multiply 6 by 5 to get the amount of money Jane earned, which is 30.
x(3+5) = $48
3x + 5x = $48
8x = $48
8x/8 = $48/8
x = $6
3($6):5($6) = $18:$30
Answer:
Mary = $18
Jane = $30
Step-by-step explanation:
The first thing you need to do is find out how much each part is. To do that you need to add each side of the ratio together (3 + 5 = 8). THen you set up an equation showing the 8 parts * x = 48 and solve for x.
8x = 48
x = 6 <-- Value of each part
Now you multiply the 6 by the number on each side of the ratio,
Mary = 3 * 6 = 18
Jane = 5 * 6 = 30
The above is your answer.
Find the value of x and y
Answer:
y=65°
Step-by-step explanation:
......................
pls help i’m struggling so bad
For part (a), you don't need to type in the "y=" portion as that is already done for you. For any answer choice involving a percentage, type in the number only. This is because the percent sign is already taken care of.
====================================================
Explanation:
Part (a)
Note how each time x goes up by 1, y drops by 0.2
We can see that
slope = rise/run
slope = (change in y)/(change in x)
slope = (-0.2)/(1)
slope = -0.2
This tells us that the battery life goes down by 20 percentage points for each hour. Note: This is not the same as saying it drops by 20% each time, as this is a subtle difference; however, I can see what your teacher is trying to say for part (b).
The y intercept is b = 1 since this is the location where the graph crosses the y axis.
The slope m = -0.2 and y intercept b = 1 leads y = mx+b to turn into y = -0.2x+1 which is the final answer for part (a).
As a way to check, plug in x = 0 and you should get y = 1. Plug in x = 1 and you should get y = 0.8, and so on. The (x,y) values should match what the graph shows.
----------------------------
Part (b)
As mentioned previously, the slope tells us how much the battery is changing. It's the rate of change. Specifically in this case, the battery is losing 20 percentage points for each hour. Your teacher should have used this careful phrasing, rather than say "the battery life goes down by 20% for each hour" but I can see what they're going for. So 20 is the answer for the first box of part (b)
The x intercept is where the graph crosses the x axis, which is x = 5 in this case. The x intercept always happens when y = 0. When y = 0, the battery is completely dead at 0%. Therefore, we can get 5 hours of battery life. The value 5 goes in the second box of part (b).
On the other end of the spectrum, the battery is 100% full when x = 0, which is at the start of everything. This is due to the y intercept b = 1.0 which represents 100%. In other words, the person starts off with a 100% charge, and they use their laptop for 5 hours, at which point the battery is at 0%. The value 100 goes in the third box for part (b)
----------------------------
Part (c)
We are asked to find the value of x when y = 0.75
y = -0.2x+1
0.75 = -0.2x+1
0.75-1 = -0.2x
-0.25 = -0.2x
-0.2x = -0.25
x = -0.25/(-0.2)
x = 1.25
After 1.25 hours the battery is at 75%
2-3(3-6)^2 divided by 1/2
Answer:
-11.5
Step-by-step explanation:
I just did it on the calculator :)
An online clothing company sells custom sweatshirts. The company charges $3.50 for shipping plus $5.50 for each sweatshirt. Write a linear function rule that models the total cost y (in dollars) for any number of sweatshirts x.
The linear equation of the total cost of sweatshirts is y = 3.5 + 5.5x
How to determine the linear equation?The given parameters are:
Charges = $3.50 for shipping
Each sweatshirt = $5.50
The linear equation of the above parameters is represented as
Total (y) = Charges + Each sweatshirt * Number of sweatshirts (x)
Substitute the known values in the above equation, so, we have the following representation
y = 3.5 + 5.5x
Hence, the equation is y = 3.5 + 5.5x
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The product of 6 and a number , x is twice the difference of x and 5. Solve for variable x. Need help here the choice
A.-1.25
B.1.25
C.-2.5
D.2.5
Answer: I think D
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
B. X=5
Step-by-step explanation:
To solve this problem, first, you have to isolate the value of x from one side of the equation.
First, divide by 4 from both sides of an equation.
Solve.
|0.5x-2.5|=0
0.5x-2.5=0
x=5
Therefore the correct answer is x=5.
If the elasticity of labor is 0.60, a 15 percent increase in the wage rate will induce a a. 4.0 percent decrease in the quantity of labor supplied. b. 9.0 percent increase in the quantity of labor supplied. c. 9.0 percent decrease in the quantity of labor supplied. 4. 4.0 percent increase in the quantity of labor supplied.
The elasticity of labor refers to the responsiveness of the quantity of labor supplied to changes in the wage rate. If the elasticity of labor is 0.60, a 15 percent increase in the wage rate will induce a decrease in the quantity of labor supplied, but the extent of this decrease will depend on the magnitude of the elasticity. The correct option is c.
In this case, a 0.60 elasticity implies that a 15 percent increase in the wage rate will result in a 9.0 percent decrease in the quantity of labor supplied. This can be calculated using the formula for elasticity, which is the percentage change in quantity divided by the percentage change in price (or wage rate, in this case):
Elasticity of labor = percentage change in quantity / percentage change in wage rate
0.60 = percentage change in quantity / 15 percent
Percentage change in quantity = 0.60 x 15 percent = 9.0 percent
Therefore, the correct answer is (c) a 9.0 percent decrease in the quantity of labor supplied. This means that as the wage rate increases, workers may be less willing to supply labor, resulting in a decrease in the number of workers willing to work at that wage rate.
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Adam divides 32/8032. In which place should he write the first digit of the quotient?
Answer:
We have a quotient between a 2 digit number and a 4 digit number.
The usual rule for this type of problems is:
If the denominator has n more digits than the numerator, then the first digit will be in the nth position at the right of the decimal point.
If also, the denominator is larger than the numerator times 10^n, then the decimal will be moved another place to the right.
For example, if we divide 10 by 100 we have:
10/100
The denominator has one more digit than the numerator, then n = 1.
this means that the first digit of the quotient, will be on the first place at the left of the decimal point.
We can solve the quotient to get:
10/100 = 0.1
And, as we predicted, the first decimal is in the first place.
Now, with our quotient we have:
32/8032
n = 2.
and:
32*10^n = 3200
The denominator is larger than this, then we will move the first decimal to another place to the right.
Then we should expect to have the first decimal in the third place after the decimal point.
We can solve the quotient to get:
32/8032 = 0.0039
As we expected.
8.8C Solve for x. - 2x + 5 = -9*
50 point
O Ax=7
B. x = -2
O C. x = 2
D. x= -7
Santa Clara County, CA, has approximately 27,873 Japanese-Americans. Their ages are as follows : Age Group Percent of Community 0-17 18.9 18-24 8.0 25-34 22.8 35-44 15.0 45-54 13.1 55-64 11.9 65 10.3 Which box plot most resembles the information above
The box plot most resembles the information above is given by the image of Box plot A, option 1.
A box plot or boxplot is a visual representation of the location, dispersion, and skewness groups of quartiles of numerical data. The box-and-whisker plot and box-and-whisker diagram are other names for box plots, which can additionally have lines (referred to as whiskers) extending from the box to indicate variability beyond the top and lower quartiles.
Santa Clara Country, CA has approximately 27873 Japanese - Americans. Their ages are as follows :
Age Group Percent of Community
0-17 18.9
18-24 8.0
25-34 22.8
35-44 15.0
45-54 13.1
55-64 11.9
10.3
Summary of the data is ,
Minimum = 0
Maximum = 100
Q1 = 24
Q2 = 34
Q3 = 53
Inter Quartile Range = IQR
= Q3 - Q1 = 53 - 24 = 29 .
IQR = 29
According to above summery of the data,
The most resembles Boxplot is A.
Hence , Choose option 1) Boxplot A is the answer.
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Based on the provided information, the box plot that best represents the data is Box plot A, which corresponds to option 1.
The box plot, also known as a box-and-whisker plot, visually displays the distribution of numerical data through quartiles, indicating the location, spread, and skewness of the data. It consists of a box that represents the interquartile range (IQR), with a line inside indicating the median. Whiskers extend from the box to show the range of the data, excluding outliers.
For the given data on the ages of Japanese-Americans in Santa Clara County, CA, the summary reveals the following statistics: the minimum age is 0, the maximum age is 100, and the quartiles are Q1 = 24, Q2 = 34, and Q3 = 53. The interquartile range (IQR) is calculated as Q3 - Q1, resulting in an IQR of 29.
Considering the characteristics of the data summary, the box plot that closely matches this description is Box plot A. Therefore, the correct answer is option 1) Boxplot A.
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Which statements hold true for the function?
f(x) = 3x² - 5
Of(5)
Of(0)=1
f(5)<1
Of(3)
The statements for the function f( x) = 3x ²- 5 are
f( 5)< 1( false)
f( 0) = 1( false)
Statements for the function f(x) = 3x ²- 5
To find the true or false statement we have to substitute the value for x
First, x= 3
f(x) = 3x ²- 5
f(3)= 3( 5)²- 5
f(3) = 75- 5
f(3)= 70.
Thus, the statement" f( 5)< 1" is false.
Now, at x =0
f(x) = 3x ²- 5
f(0) = 3( 0)²- 5
f(0)= 0- 5
f(0)= -5.
Thus, the statement" f( 0) = 1" is false.
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How many possible passwords can you have if you can use numbers, letters, or capital letters but you must have at least one capital letter and your password needs to be exactly 5 characters long.
Answer:
628 possible passwords.
A tracksuit top costs £12.75 and matching tracksuit bottoms cost £9.50, how much does the tracksuit cost altogether?
Step-by-step explanation:
£22.25 pls mark brainliest thanks
4.Why might there be a break in the vertical axis on a line graph?
A. Numbers in that range have been left out.
B. Those numbers aren't important.
C. There was no data available for those numbers.
D. The creator of the graph made a mistake.
Answer:
there was no data available for those numbers
Step-by-step explanation:
if you want to graph at intervals of (for example) 15, but your numbers are ranging from 115 - 200, you don't want to a huge blank space from 0 - 115 on the y-axis.
if you create a break at the bottom (and only the bottom) you can start at 100 and have intervals of 15 from there. this eliminates dead space on a graph.
Find the equation of the plane tangent to the surface given by
f(x,y) = x^2−2xy+y^2 at the point (1,2,1)
Simplifying, we get -2x + 2y - z + 3 = 0, which is the equation of the plane tangent to the surface at the point (1, 2, 1). To find the equation of the plane tangent to the surface defined by f(x, y) = x^2 - 2xy + y^2 at the point (1, 2, 1), we can use the gradient vector.
The equation of the plane tangent to the surface can be written in the form Ax + By + Cz + D = 0. To find the gradient vector, we need to take the partial derivatives of f(x, y) with respect to x and y.
∂f/∂x = 2x - 2y and ∂f/∂y = -2x + 2y.
Next, we evaluate the partial derivatives at the point (1, 2, 1):
∂f/∂x(1, 2) = 2(1) - 2(2) = -2 and ∂f/∂y(1, 2) = -2(1) + 2(2) = 2.
The gradient vector is given by (∂f/∂x, ∂f/∂y, -1) at the point (1, 2, 1), which is (-2, 2, -1).
Now, using the point-normal form of the equation of a plane, we substitute the values from the point (1, 2, 1) and the gradient vector (-2, 2, -1) into the equation:
-2(x - 1) + 2(y - 2) - (z - 1) = 0.
Simplifying, we get -2x + 2y - z + 3 = 0, which is the equation of the plane tangent to the surface at the point (1, 2, 1).
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A university professor does not believe that there is really a difference between the GPA of male and female scholarship athletes, so he looks into how the sample was collected. His investigation shows that the study was given to all of the athletes on the basketball teams exclusively. Based on this information, should the university administration trust the results from this study?
a. Yes, because the results were significant
b. Yes, because a large enough sample was taken
c. No, because not every scholarship athlete part of the study
d. No, because the study was not taken from a random sample of scholarship athletes
Answer: d. No, because the study was not taken from a random sample of scholarship athletes.
Step-by-step explanation:
Since the study only focuses on basketball players, the sample may not be representative of all scholarship athletes in the university. This can cause bias in the results and make it difficult to generalize the findings to the larger population of scholarship athletes. Therefore, the university administration should not fully trust the results of this study.
At 7 pm. the temperature was 6 degrees. By midnight, the temperature had decreased to 4 degrees below zero. What was the temperature change per hour? Type your answer
Answer:
56
Step-by-step explanation:
Answer:
The temperature change was -2 degrees per hour.
Step-by-step explanation:
1st hour (8pm) it dropped down to 4 degrees.
2nd hour (9pm) it dropped down to 2 degrees.
3rd hour (10pm) it dropped down to 0 degrees.
4th hour (11pm) it dropped down to -2 degrees.
5th hour (12am/midnight) it dropped down to -4 degrees
The distribution of weigths of a sample of 1300 cargo containers is symmetric and bellshadped .what percent is above mean 2standard deviations
Out of the 1300 cargo containers, approximately 30 containers (2.28% of 1300) are expected to weigh more than the mean by 2 standard deviations.
If the distribution of weights of a sample of 1300 cargo containers is symmetric and bell-shaped, we can assume that it follows a normal distribution. In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, and approximately 95% of the data falls within two standard deviations of the mean.
Therefore, if we want to know what percent of the data is above the mean by 2 standard deviations, we need to calculate the area under the normal distribution curve to the right of the mean plus 2 standard deviations. This is equivalent to finding the area in the upper tail of the distribution.
Using a standard normal table or a calculator, we can find that the area to the right of mean plus 2 standard deviations in a standard normal distribution is approximately 2.28%. Since the given distribution is assumed to be a normal distribution, we can conclude that approximately 2.28% of the cargo containers weigh more than the mean by 2 standard deviations.
Therefore, out of the 1300 cargo containers, approximately 30 containers (2.28% of 1300) are expected to weigh more than the mean by 2 standard deviations.
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Multiplying Polynomials
Find each product.
1) 6v(2v + 3) 2) 7(−5v − 8)
3) 2x(−2x − 3)
A polynomial is an equation made up of coefficients and in determinates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.
Multiplying Polynomials Find each product. 1) \(6v(2v + 3) 2) 7(-5v - 8)3) 2x(-2x -3)6v(2v + 3)\)
To distribute the 6v over the binomial 2v + 3, we multiply 6v by each term inside the parenthesis:
\(6v(2v) + 6v(3)\)
\(= 12v^2 + 18v7(-5v - 8)\)
To distribute the 7 over the binomial -5v - 8, we multiply 7 by each term inside the parenthesis:
\(7(-5v) + 7(-8)= -35v - 562x(-2x - 3)\)
To distribute the 2x over the binomial -2x - 3, we multiply 2x by each term inside the parenthesis:
\(2x(-2x) + 2x(-3)= -4x^2 - 6x\)
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