Answer:
Westmoreland County, VA
A representative from plan 1 wants to use the graph below to sell health plans for his company. How might the graph be redrawn to emphasize the difference between the cost per doctor visit for each of the three plans? The scale on the y-axis could be changed to 0–100. The scale on the y-axis could be changed to 25–40. The interval of the y-axis could be changed to count by 5s. The interval of the y-axis could be changed to count by 20s.
Answer:
B) The scale on the y-axis could be changed to 25–40.
Answer:
B the scale on the y-axis could be changed from 25-40
Step-by-step explanation:
just took test on edg and got a 100
Which systems of equations will also have a solution of (2,0)
Final answer:
A system of equations will have the solution (2,0) if, when substituting x=2 and y=0, both equations are satisfied. This can be a linear equation where the y-intercept is set to be the negative double of the slope, or a conic section represented by a quadratic equation that intersects the x-axis at x=2.
Explanation:
Systems of equations that will have a solution of (2,0) must satisfy the condition that when x=2 and y=0, both equations are true. Considering the information provided about quadratic and differential equations, to find a system with the solution (2,0), one can set up a system of any two equations and test if the point (2,0) satisfies them. For instance, any linear equation in the form of y = mx + b, where m is the slope and b is the y-intercept, will have a solution of (2,0) if b is set to -2m. Similarly, a second-order differential equation can be constructed with known solutions, including the point (2,0).
A system with a linear equation y = mx - 2m, where m can be any value.
A homogeneous linear differential equation with boundary conditions that result in the point (2,0) being a solution.
A conic section represented by a quadratic equation that intersects the x-axis at x=2.
For example, the quadratic equation ax² +2hxy+by² = 0, can be factored into two linear factors with no constant term, which means it represents two lines intersecting at the origin. If one of these lines passes through the point (2,0), it would confirm that our solution fits this system as well.
What is the product of the polynomials shown below?
Answer:
B. 14x^3+39x^2+18x+20
Step-by-step explanation:
Given polynomials are:
[tex](7x^2+2x+4)(2x+5)\\For\ product\\(2x+5)(7x^2+2x+4)\\= 2x(7x^2+2x+4)+5(7x^2+2x+4)\\= 14x^3+4x^2+8x+35x^2+10x+20\\Combining\ alike\ terms\\= 14x^3+4x^2+35x^2+8x+10x+20\\=14x^3+39x^2+18x+20[/tex]
The product of given polynomials is:
14x^3+39x^2+18x+20
Hence, Option B is correct ..
Answer:
B. 14x^3 + 39x^2 + 18x + 20.
Step-by-step explanation:
(7x^2 + 2x + 4)(2x + 5)
= 2x(7x^2 + 2x + 4) + 5(7x^2 + 2x + 4)
Distribute over the 2 parentheses:
= 14x^3 + 4x^2 + 8x + 35x^2 + 10x + 20
Add like terms:
= 14x^3 + 39x^2 + 18x + 20.
What is the measure of DG?
Enter your answer in the box.
For f(x)=2x+1 and g(x)= x^2 -7, find (f•g)(x)
Answer:
[tex]\large\boxed{(f\cdot g)(x)=2x^3+x^2-14x-7}[/tex]
Step-by-step explanation:
[tex](f\cdot g)(x)=f(x)\cdot g(x)\\\\f(x)=2x+1;\ g(x)=x^2-7\\\\(f\cdot g)(x)=(2x+1)(x^2-7)\qquad\text{use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(2x)(x^2)+(2x)(-7)+(1)(x^2)+(1)(-7)\\\\=2x^3-14x+x^2-7[/tex]
Which statement could describe the dog’s movement 5 seconds after the command was given?
Final answer:
The dog’s movement 5 seconds after the command, considering different frames of reference for speed, can be described by the distance it would have traveled: either 25 meters on the sidewalk (at 5 m/s) or 10 meters from the student's perspective (at 2 m/s).
Explanation:
The student's question pertains to describing the dog’s movement 5 seconds after the command was given, considering the dog's speed. Since we have learned that the dog has different speeds in different frames of reference—5 m/s on the sidewalk and 2 m/s in the student’s frame—we can describe the dog’s movement based on these speeds. If the dog started moving at the moment the command was given and continued to move for 5 seconds, we can calculate the distance it would have covered in that time.
For the sidewalk's frame, where the dog's speed is 5 m/s, the dog would have covered a distance of:
Distance = Speed × Time
Distance = 5 m/s × 5 s = 25 meters
In the student’s frame, where the dog's speed is 2 m/s, it would have moved:
Distance = 2 m/s × 5 s = 10 meters
The statement that could describe the dog’s movement 5 seconds after the command was given is that the dog could have traveled either 25 meters from its starting point on the sidewalk or 10 meters from the student's perspective, depending on the frame of reference being considered.
Geometric sequence -1, -5, -25, -125 the 9th term
Final answer:
The 9th term of the geometric sequence -1, -5, -25, -125 is found to be -390625, using the formula for a geometric sequence nth term with a common ratio of 5.
Explanation:
To find the 9th term of the geometric sequence -1, -5, -25, -125, we need to determine the common ratio and apply the formula for the nth term of a geometric sequence, which is an = a1 × r(n-1), where a1 is the first term and r is the common ratio.
The common ratio (r) is the factor that each term is multiplied by to get the next term. In this sequence, r is obtained by dividing the second term by the first term: r = -5 / -1 = 5. Therefore, to find the 9th term, we use the formula with a1 = -1, r = 5, and n = 9:
a9 = -1 × 5(9-1) = -1 × 58 = -390625
So, the 9th term of the geometric sequence is -390625.
Which statement accurately explains whether a reflection over the Y axis and a 270° counterclockwise rotation would map figure ACB onto itself?
Neither the reflection over the y-axis nor the 270° counterclockwise rotation would map figure ACB onto itself.
Explanation:To determine whether a reflection over the y-axis and a 270° counterclockwise rotation would map figure ACB onto itself, we need to analyze the effects of these transformations.
A reflection over the y-axis would change the x-coordinates of the points, but not the y-coordinates. So, figure ACB would not be mapped onto itself after a reflection over the y-axis.A 270° counterclockwise rotation would change the position of the points by rotating them around the origin. After a 270° counterclockwise rotation, figure ACB would not be mapped onto itself as the shape and position of the points would change.Therefore, neither the reflection over the y-axis nor the 270° counterclockwise rotation would map figure ACB onto itself.
8x+5y=24
y=−4x
what is X and Y??
Answer:
Step-by-step explanation:
plug y into the first equation:
8x+5y=24
8x+5(-4x)=24
8x-20x=24
-12x=24
x=-24/12
x=-2
then plug x to the second equation
y=-4
y=-4(-2)
y=8
x=-2
y=8
8x + 5y = 24
You just told us that Y = -4x .
If that's true, then
8x + 5(-4x) = 24
8x - 20x = 24
-12x = 24
x = -2
y = -4x
y = -4(-2)
y = 8
The temperature in Fargo North Dakota was 6°F at noon. By 4 PM the temperature dropped to -10°F. What integer represents the change in temperature?
The integer that represents the change in temperature is -16°F.
How to solve for the change in temperatureTo find the change in temperature, we need to calculate the difference between the final temperature and the initial temperature.
The initial temperature was 6°F, and the final temperature was -10°F. To calculate the change, we subtract the initial temperature from the final temperature:
Change in temperature
= Final temperature - Initial temperature
= (-10°F) - (6°F)
= -10°F - 6°F
= -16°F
Therefore, the integer that represents the change in temperature is -16°F.
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Jillana begins to solve a linear equation that results in a variable expression set equal to the same variable expression. Which is the best interpretation of this solution? The equation has one solution: x = 0. The equation has one solution: x = 1. The equation has no solution. The equation has infinite solutions.
Answer: infinite solutions
Step-by-step explanation:
If the left side equals the right side, then every value you input for the variable will make a TRUE statement --> which means there are infinite solutions.
For example: x + 1 = x + 1
Any value you choose for "x" will result in a true statement.
This is because they are the same line, which is another way of showing that they have infinite solutions.
The linear equation is an identity, which means that it has infinite solutions.
What is an identity?
We define an identity as an equation where we have the exact same expression in both sides of the equation.
For example, in:
f(x) = f(x).
Where f(x) is a function.
A easier example can be:
x + 5 = x + 5
Notice that we have the exact same thing in both sides, this is what Jilana gets when solving her linear equation.
This means that for any given value of x, the equation will be true. So, x can be any real value, which means that there are infinite solutions for the equation.
If you want to learn more about linear equations, you can read:
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9. The maximum horizontal range of a projectile is given by the formula R= u2/g where u is the initial velocity and g is the acceleration due to gravity. Find the velocity with which a ball can be thrown to have a maximum range of 20 meters when the acceleration due to gravity is equal to 9.8 m/s.
(SHOW WORK)
The answer is:
The velocity with which the ball can be thrown to have a maximum range of 20 meters is equal to 14 m/s.
[tex]u=14\frac{m}{s}[/tex]
Why?To solve the problem and find the velocity, we need to isolate it from the equation used to calculate the maximum horizontal range.
We have the equation:
[tex]R=\frac{u^{2} }{g}[/tex]
Where,
R is the maximum horizontal range.
u is the initial velocity.
g is the gravity acceleration.
Also, from the statement we know that:
[tex]R=20m\\g=9.8\frac{m}{s^{2} }[/tex]
So, using the given information, and isolating, we have:
[tex]R=\frac{u^{2} }{g}[/tex]
[tex]R*g=u^{2}[/tex]
[tex]u^{2}=R*g=20m*9.8\frac{m}{s^{2} }=196\frac{m^{2} }{s^{2} }\\\\u=\sqrt{196\frac{m^{2} }{s^{2}}}=14\frac{m}{s}[/tex]
Hence, we have that the velocity with which the ball can be thrown to have a maximum range of 20 meters is equal to 14 m/s.
[tex]u=14\frac{m}{s}[/tex]
Have a nice day!
Answer:
The velocity with which a ball must be thrown to have a maximum range of 20 m is 14 m/s.
Note that this problem means to find the magnitude of the velocity and not the direction (it is implicit in the formula that the angle of the launch is 45°).
Explanation:
You just must use the given equation for the maximum horizontal range of a projectile and solve for u which is the unknwon:
Given equation: R = u² /gg = 9.8 m/s²R = 20 mu =?Solve for u:
u² = R × g = (20 m) × (9.8 m/s²) = 196 m²/s²Take square root from both sides:
u = 14 m/s ← answerWhat is the sign of -567.45 + 567.45?
Choose 1 answer:
A
Positive
B
Negative
(C) Neither positive nor negative-the sum is zero.
Answer:
C
Step-by-step explanation:
-567.45 + 567.45 = 0
What’s the common ratio of this sequence?
3, 21, 147
Answer:
r = 7
Step-by-step explanation:
The common ratio r of a geometric sequence is
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex], that is
r = [tex]\frac{21}{3}[/tex] = [tex]\frac{147}{21}[/tex] = 7
The common ratio of the sequence 3, 21, 147 is 7.
Start with the first and second terms:
21 ÷ 3
= 7
Confirm with the second and third terms:
147 ÷ 21
= 7
Thus, the common ratio (r) is 7.
A company manufactures its product at a cost of $0.50 per item and sells it for $0.85 per item daily overhead is $600 how many items must be manufactured each day in order for the company to break even
Answer:
1,715
Step-by-step explanation:
So, we have a product that is sold for $0.85 and costs $0.50 to produce, and we need to find the number is items needed to cover the $600 fixed costs of the company.
We can model this like that, where x is the number of items to make:
0.85x - 0.5x = 600
0.35x = 600
x = 1,714.29
So, to cover the fixed overhead/fixed expenses, they need to make at least 1,715 items, each day.
What percentage of students age 15 and above travel to school by bus? Round to the nearest whole percent.
36%
26%
45%
50%
Answer: 26%
Step-by-step explanation:
See attached photo. - my answer got deleted lol
Without additional information, we cannot determine the exact percentage of students age 15 and above who travel to school by bus.
Explanation:To find the percentage of students age 15 and above who travel to school by bus, we need to compare the number of students who travel by bus to the total number of students in that age group. However, we don't have that information in the given question.
We need more data to calculate the percentage. Without additional information, we cannot determine the exact percentage of students age 15 and above who travel to school by bus.
Evaluate the following expression (-3)^2
Answer:
9
Step-by-step explanation:
negative times a negative is a positive. Negative three squared is 9.
Need help finding the length of Ac
Answer:
We need to know angle C which is (180 -123 -34) = 23°
We'll use the Law of Sines
Sine (A) / side a = Sine (B) / side b
Sine (34) / 10 = Sine (123) / side b
0.55919 / 10 = 0.83867 / side b
10 * .83867 / .55919 = side b
side b (or line AC) = 14.998
Step-by-step explanation:
The system of equations is solved using the linear combination method. What does 0= -12 mean regarding the solution to the system?
Answers:
There are no solutions to the system because the equations represent parallel lines.
There are no solutions to the system because the equation represent the same line.
There are infinitely many solutions to the system because the equations represent parallel lines.
There are infinitely many solutions to the system because the equations represent the same line.
Answer:
There are no solutions to the system because the equation represents parallel lines
Answer:
There are no solutions to the system because the equations represent parallel lines.Step-by-step explanation:
We know by given that the system result is 0 = -12.
This results means that there are no solutions in the system, because the statment 0 = -12 is false, also lines are parallels, that's the real reason why there's no solution.
Remember that parallel lines won't intercept, and a solution of a linear system means that those lines intercept. So, if they don't, then, there's no solution.
Therefore, the right answer is the first choice.
If the cost is $58 and the selling price is $63 then what is the percent of increase
For this case we can raise a rule of three:
$ 58 ----------> 100%
$ 63 ----------> x
Where "x" represents the percentage equivalent to $ 63.
[tex]x = \frac {63 * 100} {58}\\x = \frac {6300} {58}\\x = 108.62[/tex]
Thus, the percentage increase is 8.62%
Answer:
The percentage of increase is 8.62%
Julie needs to cut 4 pieces of yarn, each with the same length and a piece of yarn 7.75 inches long. Let x represent the length of each of the equal pieces of yarn that Julie decides to cut what is the equation that can be used to determine the total length of all of the yarn that she ends up, cutting,y? Is the graph of the equation continuous or discrete
Answer:
Total length of the x inches long pieces = 4x inches
She has to cut another piece = 7.75 inches
Total length = 4x + 7.75
This is what y represent, so
y = 4x + 7.75
The graph of the equation is continuous
Answer:
The required equation is [tex]y=4x+7.75[/tex] and the graph of the equation is continuous.
Step-by-step explanation:
Consider the provided information.
Julie needs to cut 4 pieces of yarn,
Let x represent the length of each yarn.
Then the length of 4 pieces will be: 4x
y represents the total length of all of the yarn that Julie decides to cut
Therefore the required equation that can be used to determine the total length of all of the yarn is:
[tex]y=4x+7.75[/tex]
Here, the graph is continuous, because the length of yarn can be any number.
The radius of the large sphere is double the radius of the
small sphere
How many times is the volume of the large sphere than the
small sphere?a.2 b.4 c.6 d.8
Answer:
d. 8
Step-by-step explanation:
The volume of a sphere = 4/3πr³
Let the radius of the smaller sphere be r, then the volume of the large sphere will be 2 r
Finding the volumes of the 2 gives:
volume of large sphere = 4/3π (2r)³
= 32/3πr³
Volume of the smaller sphere = 4/3πr³
Dividing the two volumes we get the ratio of their volumes
32/3πr³÷4/3πr³= 8
Answer: Option d
[tex]\frac{V_2}{V_1}=8[/tex]
Step-by-step explanation:
The volume of a sphere is calculated using the following formula
[tex]V=\frac{4}{3}\pi r^3[/tex]
Where r is the radius of the sphere and V is the volume.
If the radius of the small sphere is r and the volume is [tex]V_1[/tex] then:
[tex]V_1=\frac{4}{3}\pi r^3[/tex]
Let's call [tex]V_2[/tex] the volume of the large sphere. We know that it has a radius of 2r. So:
[tex]V_2=\frac{4}{3}\pi (2r)^3[/tex]
[tex]V_2=\frac{4}{3}*8\pi r^3[/tex]
Now we calculate the quotient of the volumes
[tex]\frac{V_2}{V_1}=\frac{\frac{4}{3}*8\pi r^3}{\frac{4}{3}\pi r^3}\\\\\frac{V_2}{V_1}=\frac{8r^3}{r^3}\\\\\frac{V_2}{V_1}=8[/tex]
The answer is the option d
The quotient of 4 and 2, decreased by a number, equals that number multiplied by 3
Answer:
.5
Step-by-step explanation:
4/2 -n=3n
2 -n=3n
2 =4n
2/4 =n
.5 =n
What is the distance between A (5, 8), and B(-3, 4)
Answer:
Step-by-step explanation:
4 square root 5
Which statements regarding EFG are true? Check all that apply.
Answer:
A and B
Step-by-step explanation:
You can tell by just looking. Also because it is a isosceles triangle.
We can see here that the statement that is true regarding ΔEFG are true:
A. EF + FG > EG
B. EF + FG > EF
C. EG - FG < EF
What is a triangle?A triangle is a polygon with three sides, three angles, and three vertices. It is one of the fundamental geometric shapes in Euclidean geometry. The sum of the internal angles of a triangle always adds up to 180°.
Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. This theorem establishes a fundamental relationship between the lengths of the sides of a triangle.
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The population of a small town in northern California gradually increases by about 50 people a year. In 2010, the population was 8500 people. Write an equation for the population of this city and find its estimated population in 2017. The estimated population in 2017 is
The equation representing the population of the city is P = 50t + 8500. Substituting t=7 in this equation gives the estimated population in year 2017 as 8850 people.
Explanation:The question is asking for the population of the town in a given year, given it's steadily increasing each year. The original population, in 2010, is 8500 people and each year the number of people increases gradually by 50.
The general equation for a line is y = mx + c, where m is the slope (the rate of change), c is the y-intercept (the initial value), x is the input (in this case, the number of years since 2010), and y is the output (the population).
In this case, m = 50 (because the population increases by 50 people per year), c = 8500 (the population in 2010) and x will be the number of years since 2010. Therefore, the equation for the population of the town is: P = 50t + 8500
To find the population in 2017, you substitute t=7 (because 2017 is 7 years after 2010) into the equation: P = 50*7 + 8500 = 8850
So the estimated population in 2017 would be 8850 people.
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A and B are independent events. P(A) =0.30 P(B) = 0.60
What is P(A|B)?
Answer:
P(A|B) = 0.30
Step-by-step explanation:
P(A) = 0.30
P(B) = 0.60
To Find:
P(A|B) = ?
P(A|B) means probability of occurring of event A when event B has occurred.
P(A|B) = P(A∩B)/P(B)
We know that for independent events;
P(A∩B) = P(A).P(B)
So, we have:
P(A|B) = P(A).P(B)/P(B)
P(A|B) = P(A)
So, probability of occurrence of an independent event does not depend on the probability of a different event.
write 7.26451 correct to 3 decimal places
Samantha works in a bakery. The profit of cupcakes in dollars, after t weeks, is given by the function, C(t) = 0.1t3. The profit of cookies in dollars, after t weeks, is given by the function, K(t) = 5(1.07)t - 5. Which function describes the total profit, M(t), at the bakery after t weeks?
Answer:
M(t) = 0.1t3 + 5(1.07)t - 5
Step-by-step explanation:
Answer:
[tex]M(t) = 0.1t^{3}[/tex] [tex]+ 5(1.07)^{t}[/tex]- 5
Step-by-step explanation:
(on attachment with step by step explanation)
The total cost for 9 bracelets, including shipping was $72. The shipping charge was $9. Define your variable and write an equation that models the cost of each bracelet.
4. Use the equation you have written above determine the cost for each bracelet. Show the algebraic steps that it takes to find the answer. Provide your conclusion.
Answer:
a) Equation: 9x+9 = 72
b) x =7
Step-by-step explanation:
The total cost of 9 bracelets = $72
Shipping charge = $9
a) Define your variable and write an equation that models the cost of each bracelet.
Let x be the cost of one bracelet, the equation will be
9x + 9 = 72
As 9 bracelets were there and the shipping cost was 9 and total cost was 72.
b) Use the equation you have written above determine the cost for each bracelet. Show the algebraic steps that it takes to find the answer.
Now solving the equation to find the value of x that represent cost of each bracelet
9x + 9 = 72
Adding -9 on both sides
9x +9 -9 = 72 -9
9x = 63
Dividing both sides by 9
9x/9 = 63/9
x = 7
The value of x=7 so, the cost of each bracelet is $7
c) Provide your conclusion.
So, each bracelet was of cost $7 and $9 was the shipping charge. so, the total cost is $72.
We would check whether our equation is satisfied.
9x+ 9 = 72
9(7) + 9 = 72
63 + 9 = 72
72 = 72
The equation is satisfied.
Answer:
The cost of each bracelet is: $7
Step-by-step explanation:
Let's call x the cost of each bracelet.
Then the cost of the 9 bracelets is:
9x
If we know that the cost of the bracelets plus the shipping was $ 72 and the cost of shipping is $ 9.
So
The total cost was:
[tex]9x + 9 = 72[/tex]
Now we solve the equation for the variable x.
[tex]9x + 9 = 72[/tex]
Subtract 9 on both sides of equality
[tex]9x + 9-9 = 72-9[/tex]
[tex]9x = 72-9[/tex]
[tex]9x = 63[/tex]
Divide by 9 on both sides of equality
[tex]\frac{9}{9}x = \frac{63}{9}[/tex]
[tex]x = \frac{63}{9}[/tex]
[tex]x = \$7[/tex]