Answer: Strong Negative Correlation
Step-by-step explanation:
Zachary purchased a computer for $1,100 on a payment plan. Three month after he purchased the computer, his balance was $680. Six months after he purchased the computer, his balance was $260. What is an equation that models the balance y after x months.
An equation that models the balance y after x months is y = 1,100 - 140x.
What is payment?
Payment is the transfer of funds, property, or services in exchange for the provision of goods and services in an amount that is mutually acceptable and has been previously agreed upon. Payment options include cash, checks, wire transfers, credit cards, debit cards, and even cryptocurrencies. Knowing how to pay.
Given:
Zachary purchased a computer for $1,100 on a payment plan.
Three month after he purchased the computer, his balance was $680.
Six months after he purchased the computer, his balance was $260.
We have to find an equation that models the balance y after x months.
Zachary purchased a computer for $1100
The first step is to calculate the purchase he paid after 3 months
= 1,100 - 680
= $420
Then the purchase after 1 month is
= $420/3
= $140 per month
The purchase made after 6 months is
= 680 - 260
= $420
The purchase after a month is
= $420/3
= $140 per month
Therefore the equation that models the balance y after x months is
= initial amount of payment plan - amount per month
y = 1,100 - 140x
Hence, an equation that models the balance y after x months is
y = 1,100 - 140x.
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Animal shelters in a county need at least 15% of their animals to be adopted weekly to have room for the new animals that are brought into the various shelters. The county manager takes a random sample of shelters each week to estimate the overall proportion of animals that are adopted. If he concludes that the proportion has dropped below 15%, he will not accept any new animals into the shelters that week. He tests the hypotheses: H0: The adoption rate is 15%, and Ha: The adoption rate is less than 15%. What is a Type II error, and what is its consequence in this context
Answer:
By accepting a false null hypothesis he committed a type II error.
Step-by-step explanation:
Type II error is to accept H0 when H0 is false.
If there's a type II error then the null hypothesis is false ie the adoption rate is less than 15 %, when the true adoption rate is not less than 15% . He has accepted the null hypothesis as true and taken the wrong decision of not accepting any new animals into the shelters that week.
Answer:
A
The manager believes the adoption rate is still 15%, when it actually has dropped below 15%. The manager will accept more animals into the shelters and will run out of room.
Step-by-step explanation:
EDGE2022
A student traded four pieces of chocolate pour seven pieces of hard candy at this rate how many pieces of chocolate could be treated for 35 pieces of hard candy
Answer: 20 pieces of chocolate could be treated for 35 pieces of hard candy.
Step-by-step explanation:
Equation of direct proportion between two quantities x and y :
\(\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}\)
Put \(x_1=4,\ y_1=7,\ y_2=35, x_2=x\)
\(\dfrac{4}{7}=\dfrac{x}{35}\\\\\Rightarrow\ x=\dfrac{35\times4}{7}\\\\\Rightarrow\ x=20\)
Hence, 20 pieces of chocolate could be treated for 35 pieces of hard candy.
A motorcycle traveling at 70 miles per hour overtake le a car traveling at 30 miles per hour that had a three-hour head start. How far from the starting point are the two vehicles
Answer: the vehicles are 90 miles in the race
Thomas elementary has 150 students who participate in sports. If 20% of these students play baseball, how many students play baseball?
Answer:
30 kids
Step-by-step explanation:
The original cost of a shirt is $40. A store manager marks up the cost by 20% to get
the selling price. During a sale, the store manager marks down the cost of the shirt
by 20%. What is the percent change from the original cost to the sale price? Is this
a percent increase or a percent decrease? Show your work.
Answer:
Step-by-step explanation:
Ans:percentage increased by 20
Gross profit/Cost of sales=20percent
Gross profit=20percent x cost of sales
Sales=120percent x cost of sales
Sales=120x40
=$48
48-40=$8
8/40x100percent=20percent
Answer: Decrease? not 100% sure
Step-by-step explanation:
A point with a positive x-coordinate and a negative y-coordinate is reflected over the y-axis.
Which sentence describes the coordinates of the new point?
The x-coordinate is positive, and the y-coordinate is positive.
The x-coordinate is negative, and the y-coordinate is negative.
The x-coordinate is negative, and the y-coordinate is positive.
The x-coordinate is positive, and the y-coordinate is negative.
Done
Answer:
The x-coordinate is negative, and the y-coordinate is negative.
Step-by-step explanation:
(x, -y)
When you reflect over the y-axis, the x-coordinate becomes negative:
(-x, -y)
A teaspoon of salt has a mass of 6 grams. What is its mass in milligrams?0) 600 milligrams60 milligrams0) 6.000 milligrams60.000 milligrams Ten points if you get this pls
1 milligram = 0.001 gram
x milligrams = 6 grams
By crossmultiplying, it becomes
0.001 * x = 6 * 1
0.001x = 6
x = 6/0.001
x = 6000
The mass in milligrams is 6000 milligrams
In the picture I need the answers to the questions.
Answer:
a) \(\mathbf{ f(g(x))=x+2\sqrt{x} +1}\)
b) \(\mathbf{f(g(9))=16}\)
Step-by-step explanation:
We are given:
\(f(x)=(x-2)^2\\g(x)=\sqrt{x} +3\)
We need to find \(a) f(g(x))\\b) f(g(9))\)
a) First finding: \(f(g(x))\)
It can be found by putting the value of g(x) into f(x)
We are given:
\(f(x)=(x-2)^2\\Put\:x=g(x)\:i.e. \: x= \sqrt{x} +3\\f(g(x))=(\sqrt{x} +3-2)^2\\Now\: solving:\\f(g(x))=(\sqrt{x} +1)^2\\Using\:formula\:\mathbf{(a+b)^2=a^2+2ab+b^2}\\f(g(x))=(\sqrt{x})^2+2(\sqrt{x} )(1)+(1)^2\\ f(g(x))=x+2\sqrt{x} +1\)
SO, we get: \(\mathbf{ f(g(x))=x+2\sqrt{x} +1}\)
b) Now finding: \(f(g(9))\)
It can be found by putting x=9 in f(g(x))
We have:
\(f(g(x))=x+2\sqrt{x} +1\\Put\:x=9\\f(g(9))=9+2\sqrt{9}+1\\We\:know\: \sqrt{9}=3\\ f(g(9))=9+2(3)+1\\f(g(9))=9+6+1\\f(g(9))=16\)
So, we get: \(\mathbf{f(g(9))=16}\)
A classmate simplified a rational equation 1-2/x-2 = x+1/X+2 1 - 2/x-2 = x+1/X+2
A): Explain the error in this simplification.
B): Show your work as you correct this error.
A rational equation is defined as the quotient of two polynomials, with the denominator not being zero. It is a type of algebraic expression that involves variables and rational functions with rational exponents.
The error in the given rational equation is that it's not allowed to cancel out the x-2 and X+2 terms, as they are in the denominators. It is because of the fact that it may make the denominator zero, which would result in undefined expressions. Therefore, we need to find the least common multiple (LCM) of the denominators and then convert the equation into equivalent forms with the same denominator.B):
Correction of the error1-2/x-2 = x+1/X+2Given rational equation can be re-written as:((1 - 2)/(x - 2)) = ((x + 1)/(X + 2))The LCM of x - 2 and X + 2 is (x - 2) (X + 2).Multiplying the numerator and denominator of the left side by (X + 2) and the numerator and denominator of the right side by (x - 2) we get,(1 - 2)(X + 2) = (x + 1) (x - 2)Now simplify the equation:2X - 3x = -3The given rational equation becomes 2X - 3x = -3 after correction.Note: You should always double-check if the obtained solution satisfies the initial equation.
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What is (x-1) (2x+4)
Answer:
2x^2 + 2x - 4
Step-by-step explanation:
(x-1) (2x+4)
2x^2 + 4x - 2x - 4
2x^2 + 2x - 4
Help me plz
will mark brainliest
Answer:
y = 740x - 400
Step-by-step explanation:
You need to find what b(the y-intercept) is in the equation.
y = mx + b, where x is the time in hours and m is your slope
They told us the slope m(the rate of change), which is constant at 740 meters per hour. Think of a straight line with a positive slope. We just need to find b.
We know that when x = 1.5, y = 710 meters above sea level. Write this as (1.5, 710) and substitute in your equation to find b.
y = 740x + b
710 = 740(1.5) + b
710 = 1110 + b
-400 = b
Now put together the entire equation since you have all the info you need using the slope intercept form: y = mx + b
Therefore, y = 740x - 400
The height of a coconut tree is 48 ft and the height of a papaya tree is 12 ft.
How many times the height of the papaya tree is the height of the coconut tree?
How many times the height of the coconut tree is the height of the papaya tree?
Answer:
4
Step-by-step explanation:
48/12=4
A line with a slope of –1/4 passes through the point (–6,5). What is its equation in point-slope form?
The point- slope form of the line is y-5 = -0.25(x+6).
What is line?
A line is an one-dimensional figure. It has length but no width. A line can be made of a set of points which is extended in opposite directions to infinity. There are straight line, horizontal, vertical lines or may be parallel lines perpendicular lines etc.
A line with a slope of –1/4 passes through the point (–6,5)
Any line in point - slope form can be written as
y - y₁= m(x -x₁) -------(1)
where,
y= y coordinate of second point
y₁ = y coordinate of first point
m= slope of the line
x= x coordinate of second point
x₁ = x coordinate of first point
In the given problem (x₁ , y₁) = (-6,5) and m= -1/4
Putting all these values in equation (1) we get,
y-5= (-1/4) (x- (-6))
⇒ y-5 = -0.25(x+6)
Hence, the point- slope form of the line is y-5 = -0.25(x+6).
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for the post office in the previous problem, a second drive-through window is being considered. a single line would be formed and as a car reached the front of the line it would go to the next available clerk. the clerk at the new window works at the same rate as the current one. a) what is the average time a car is in the system? b) what is the average number of cars in the system? c) what is the average time cars spend waiting to receive service? d) what is the average number of cars in line behind the customer receiving service? e) what is the probability that there are no cars in the system? f) what percentage of the time are the clerks busy? g) what is the probability that there are exactly two cars in the system?
Answer: Option A is correct, What is the average time a car is in the system?
Answer: 1/30-24= ⅙ * 60 min =10 min
Step-by-step explanation:
find a · b. a = 3i + 3j-k, b=-5i + 8k
The value of dot product the a · b. where a = 3i + 3j-k, and b=-5i + 8k is -23.
The dot product of vectors a and b can be found by multiplying the corresponding components and then adding them together.
Therefore, to find a · b, we need to multiply the x-component of vector a with the x-component of vector b, the y-component of vector a with the y-component of vector b, and the z-component of vector a with the z-component of vector b. Then, we add up the three products.
a · b = (3i + 3j - k) · (-5i + 8k)
= 3(-5) + 3(0) + (-1)(8)
= -15 - 8
= -23
Therefore, the dot product of vectors a and b is -23.
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Find the missing side lengths. Leave your answer as radicals in simplest form.
The values of the sides are;
41. x = 18√3. Option D
42. x = 6√3. Option A
How to determine the valuesUsing the different trigonometric identities, we have;
41. Using the tangent identity, we have;
tan 60 = 9√2/y
cross multiply the values
y =9√2 ×√3
y = 9√6
Using the sine identity;
sin 45 = y/x
1/√2 = 9√6/x
cross multiply the values, we have;
x = 9√2 ×√3 ×√2
x = 18√3
42. Using the cosine identity
cos 60 = 3√3 /x
cross multiply, we have;
x = 6√3
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1.1 Given the linear pattern: 5 ; -2 ; -9 ..... -289
1.1.1 Write down the constant first Difference
Answer:
- 7
Step-by-step explanation:
d = a₂ - a₁ = a₃ - a₂ = - 2 - 5 = - 9 - (- 2) = - 7
What is the area of the unshaded part of the following composite figure? Round your answer to the nearest tenth.
59.6
63
18.2
77.8
Answer: 59.6
Step-by-step explanation: Because you add 15.1+15.1 for both sides then you go into the rectangle where you add 2.8+2.8 for top and bottom the add 6.5+6.5 for both sides and then add the 10.3 and add all together and you would get 59.1 would would round to 59.6
what is 10 pm military time
The time 10 pm can be expressed in military time as 2200 hours .
In military time, the hours of the day are expressed in a 24-hour format,
The time starts from 0000 (midnight) hours and goes up to 2359 (11:59 PM) hours.
To convert a time from the standard 12-hour clock to military time, we add 12 hours to any time in the afternoon or evening .
In this case , to convert 10 PM to military time, we add 12 hours to the time ;
⇒ 10 PM + 12 hours = 22:00 hours or 2200 hours ;
Therefore, 10 PM in military time is 2200 hours.
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Henry opens a savings account that has a 4.5% annual interest
rate. After 18 months, he receives $75,000. How much did he invest?
Show all work
Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.
Here are the steps on how to calculate the amount Henry invested:
Convert the annual interest rate to a monthly rate.
\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)
Calculate the number of years.
\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)
Use the compound interest formula to calculate the amount Henry invested.
\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)
where:
FV is the future value ($75,000)
PV is the present value (unknown)
r is the interest rate (0.375%)
t is the number of years (1.5 years)
\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)
\$75,000 = PV * 1.0297
\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)
PV = \$72,831.68
Therefore, Henry invested \$72,831.68 in the savings account.
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Which number line shows the solution set to this inequality? The figure shows inequality on a number line 0, 1, 2, 3, 4, 5, 6 in which a circle from 4 extends to the right, with an arrow at the end. The figure shows inequality on a number line 0, 1, 2, 3, 4, 5, 6 in which a circle from 2 extends to the left, with an arrow at the end. The figure shows inequality on a number line 0, 1, 2, 3, 4, 5, 6 in which a circle from 3 extends to the right, with an arrow at the end. The figure shows inequality on a number line 0, 1, 2, 3, 4, 5, 6 in which a circle from 3 extends to the left, with an arrow at the end.
The number line which shows the solution set to the given inequality is: number line B.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which comprises numerical values (both positive and negative numbers) that are placed at equal intervals along its length.
Now, we would solve the given inequality:
½(20x + 6) ≥ x + 30
10x + 3 ≥ x + 30
10x - x ≥ 30 - 3
9x ≥ 27
x ≥ 3.
Therefore, the number line which shows the solution set to the given inequality is a number line with 0, 1, 2, 3, 4, 5, 6 in which a circle from 3 extends to the right, with an arrow at the end.
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Complete Question:
Which number line shows the solution set to this inequality? ½(20x + 6) ≥ x + 30
true or false: when two variables are highly correlated, a change in the value of one will cause a change in the value of another.
The given statement "a change in the value of one variable will result in a change in the value of the other when the two variables are highly linked" is FALSE.
What are variables?Any feature, characteristic, or circumstance that can exist in various amounts or types is considered a variable.
Independent, dependent, and controlled variables are typically present in an experiment.
The variable that is altered by the scientist is the independent variable.
A false correlation between two variables indicates that their correlation coefficient is almost zero.
When two variables have a strong correlation, altering the value of one will not affect the other.
Therefore, the given statement "a change in the value of one variable will result in a change in the value of the other when the two variables are highly linked" is FALSE.
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Please help and show work only do the left side
Writing linear equations given two points can be a useful skill when graphing linear equations.
Write a linear equation that passes through the given two points?To write a linear equation given two points, you need to first find the slope of the line. You can do this by finding the change in the y-value and dividing it by the change in the x-value. From there, you can use the slope to solve for the y-intercept and write the equation.For example, if the two points are (3, 4) and (0,5), you would find the slope by calculating the change in the y-value (5-4 = 1) and dividing it by the change in the x-value (0-3 = -3).The slope would then be 1/-3, which can be simplified to -1/3. To solve for the y-intercept, you can plug in one of the points and solve for b. In this case, you would plug in (3, 4) and solve for b, giving you b = 5. Now that you have the slope and y-intercept, you can write the equation as y = -1/3x + 5.y = -1/2xy = 5/3x + 5/3y = 3/5x + 1y = -1/2x - 2y = 6/5x + 5y = -4/4x - 8y = -3/5x - 7/5y = -2x - 4y = 5/6x + 7y = -1/2x + 4To learn more about linear equation refer to:
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solve this quadratic equation by completing the square. x^2+4x=15
ANSWER QUICKLY PLS, FIRST GOOD ANSWER GETS BRAINLIEST
(if your answer is incorrect im gonna delete it)
thx
Answer:
x = -2 ±sqrt( 19)
Step-by-step explanation:
x^2 + 4x = 15
Take the coefficient of x
4
Divide by 2
4/2 =2
Square it
2^2 = 4
Add it to each side
x^2 + 4x+4 = 15+4
(x+2)^2 = 19
Take the square root of each side
sqrt( (x+2)^2) =±sqrt( 19)
x+2 = ±sqrt( 19)
Subtract 2 from each side
x+2-2 = -2 ±sqrt( 19)
x = -2 ±sqrt( 19)
hello please help i’ll give brainliest
inventor
inventions led to great feats of engineering ..like great canal
The designer wants to plant new flowers around the pond. How many feet of flowers would she need to plant in this new design? Round to the nearest hundredth. Show your work.
Answer: 1,257.14 ft
Step-by-step explanation:
The question is missing the vital detail of the diameter or radius of this circular pond which I found to be 400 feet.
The plants are to be planted around the pond which means that they are to be planted around the circumference of the pond.
The number of feet of flowers to be planted is therefore the circumference.
Circumference = π * diameter
= 22/7 * 400
= 1,257.14 ft
1
Solve the inequality. Graph the solution.
(a)
2 < y/5
Answer:
Inequality form: y > 10
Interval Notation: (10, ∞)
8x-4y=-27 in slope intercept form
Answer:
y=2x-27/4
Step-by-step explanation:
Answer:
\(y=2x+\frac{27}{4}\)
Step-by-step explanation:
The slope-intercept form is \(y=mx+b\)
\(m\) = slope
\(b\) = y-intercept
−4y = -27 − 8x subtract \(8x\) from both sides
\(y=2x+\frac{27}{4}\) divide each term by \(-4\) and simplify.
HELP ILL MARK YOU BRAINLIST
Answer:
-2
Step-by-step explanation:
You can see that when x goes up by 1, y goes down by 2. This means the rate of change is -2
Answer:
The rate of change is -2
Step-by-step explanation:
Take any two points from the graph. (0,-4) and (-2,0). Plug them into the equation y2-y1/x2-x1. In this case the equation would be 0--4/-2-0. Simplify this and get 0+4/-2-0. Simplify again and get 4/-2 which is -2
Therefore the rate of change is -2
Hope this helps