SOLUTION:
Step 1 ;
In this question, we are meant to select TWO options that have pairs of variables that exhibit linear relationships.
By definition,
The linear relationship between two variables is positive when both increase together; in other words, as values get larger, values get larger.
This is also known as a direct relationship.
The linear relationship between two variables is negative when one increases as the other decreases.
Step 2 :
The TWO options are:
OPTION A - side length and perimeter of 1 face
OPTION D - Area of 1 face and surface area.
a 2-quart cartoon od chocolate milk costs 1.52 what is the price per cup
Answer:
The price per cup is $0.19
Step-by-step explanation:
In a quart there are 4 cups.
1.52÷4=0.38
But because there are 2 quarts you have to divide it by 2.
Which is 0.19
Thats the answer
Pls give Brainliest
Im desperate...
What is the value of 1/0?
O undefined
01
00
10
Answer:
Undefined
Step-by-step explanation:
Whenever there is a 0 in the denominator, it will always be undefined.
Answer: 5 times 5
Step-by-step explanation: I need 400 points
Anything helps :) thank you
Answer:
the first one is (23)
number 7 is ( 34.069)
Step-by-step explanation:
Choose the equation that represents the solutions of 0 = 0.25x² - 8x. 0.25± √(0.25)² - (4)(1)(-8) 2(1) O O X = X = X = X = -0.25± √√(0.25)² – (4)(1)(-8) 2(1) 8± √(-8)²-(4)(0.25) (0) 2(0.25) -8± √(-8)²-(4)(0.25)(0) 2(0.25)
The given equations represent the solutions of 0 = 0.25x² - 8x
What is an equation?An equation is a mathematical statement that shows the equality of two expressions, typically separated by an equal sign. Equations are used to solve problems and model real-world situations in many fields, including physics, engineering, and finance.
Redirecting to answer:
The equation 0 = 0.25x² - 8x can be rewritten as:
0.25x² - 8x = 0
Factoring out x gives:
x(0.25x - 8) = 0
So the solutions are x = 0 and 0.25x - 8 = 0, which gives x = 32.
Therefore, none of the given equations represent the solutions of 0 = 0.25x² - 8x
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How do we know where to label base and where to label height on a trapezium. does it matter where they are on the trapezium or does it have to be in rectangular please help on question
The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.
In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.
Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.
Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.
It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.
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Can someone helppp pls
Answer:
It's the first one and the second one.
\(\sqrt{11}, 5, 6\\\\3, 4, 5\)
use the Pythagorean theorem
Resuelve el siguiente problema aplicando las estrategias de solución de problemas: ¿Cuál de las siguientes unidades de volumen describe mejor la capacidad de una jeringuilla para uso con personas? barriles galones mililitros litros
One day your parents will die then you will then your children will then your grand children and so on thats how it feels to be dead do you want to be with your family or not
Answer:
Yes that is truth that you have wrote
Answer:
ya but am always with them so i dont worryStep-by-step explanation:
Frank needs to pay R60 000,00 towards his son’s university fees in three years’ time. If he has R46 150,30 now, at what interest rate per year compounded monthly, must he invest his money?
Using compound interest, it is found that he must invest his money at a rate of 8.78% a year.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.In this problem, the parameters are as follows:
t = 3, A(t) = 60000, P = 46150.3, n = 12.
Hence:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
\(60000 = 46150.3\left(1 + \frac{r}{12}\right)^{12 \times 3}\)
\(\left(1 + \frac{r}{12}\right)^{36} = 1.3\)
\(\sqrt[36]{\left(1 + \frac{r}{12}\right)^{36}} = \sqrt[36]{1.3}\)
\(1 + \frac{r}{12} = (1.3)^{\frac{1}{36}}\)
\(1 + \frac{r}{12} = 1.00731451758\)
\(\frac{r}{12} = 0.00731451758\)
r = 12 x 0.00731451758
r = 0.0878.
He must invest his money at a rate of 8.78% a year.
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Suppose that 10 years ago you bought a home for $130,000, paying 10% as a down payment, and financing the rest at 8% interest for 30 years.
Your existing mortgage (the one you got 10 years ago)
How much money did you pay as your down payment?
$13,000Correct
Submit Question Question 1
Correct Question 2
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Score on last try: 1 of 1 pts. See Details for more.
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How much money was your existing mortgage (loan) for?
$117,000Correct
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Incorrect Question 3
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What is your current monthly payment on your existing mortgage?
$$343445$343445Incorrect
Note: Carry at least 4 decimal places during calculations.
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How much total interest will you pay over the life of the existing loan?
$$179,060$179,060Incorrect
Unattempted Question 5
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This year (10 years after you first took out the loan), you check your loan balance. Only part of your payments have been going to pay down the loan; the rest has been going towards interest. You see that you still have $102,637 left to pay on your loan. Your house is now valued at $190,000.
Your current situation
How much of the original loan have you paid off? (i.e, how much have you reduced the loan balance by? Keep in mind that interest is charged each month - it's not part of the loan balance.)
$
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How much money have you paid to the loan company so far (over the last 10 years)?
$
Note: the down payment is not included here, as it is paid directly to the seller
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How much interest have you paid so far (over the last 10 years)?
$
Submit Question Question 7
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How much equity do you have in your home (equity is value minus remaining debt)
$
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Refinancing
Since interest rates have dropped, you consider refinancing your mortgage at a lower 6% rate.
If you took out a new 30 year mortgage at 6% for your remaining loan balance, what would your new monthly payments be?
$
Submit Question Question 9
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How much interest will you pay over the life of the new loan?
$
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Analyzing the refinance
Notice that if you refinance, you are going to be making payments on your home for another 30 years. In addition to the 10 years you've already been paying, that's 40 years total.
How much will you save each month because of the lower monthly payment?
$
Submit Question Question 11
Unattempted Question 12
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How much total interest will you be paying (consider the interest you paid over the first 10 years of your original loan as well as interest on your refinanced loan)
$
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Unattempted Question 13
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Now the non-computational question: Does it make sense to refinance? (there isn't a correct answer to this question. Just give your opinion and your reason)
(Note: The computer can't auto-grade this part, so it will show a score of 0 until I manually grade it)
Submit Question Question 13
Answer:
Make this question individually!
Step-by-step explanation:
Please!
Help me please
Simplify (5x3 + 7x - 8) + (2x3 – 5x2 – X + 3). Choose the standard form of the answer.
A. 7x3 + 6x - 5x2 - 5
B. 7x3 - 5x2 + 6x - 5
C. 7x3 – 5x2 + 6x + 5
D 7x3 – 5x2 + 8x - 5
Answer:
==7x3−5x2+6x−5
Step-by-step explanation:
=5x3+7x+(-8)+2x3+−5x2+−x+3
Combine Like Terms:
=5x3+7x+−8+2x3+−5x2+−x+3
=(5x3+2x3)+(−5x2)+(7x+−x)+(−8+3)
=7x3−5x2+6x−5
Common factor 9 and 45
Answer:
Step-by-step explanation:
The gcf of 9 and 45 can be obtained like this: The factors of 9 are 9, 3, 1. The factors of 45 are 45, 15, 9, 5, 3, 1. The common factors of 9 and 45 are 9, 3, 1, intersecting the two sets above
The area of a rectangle is 80 square units. A side of the rectangle, representing the
length, is 4 units long. Which could be the vertices of aside of the rectangle that
represents the width?
Answer:
So the width of the rectangle is 20 units.
Step-by-step explanation:
Since the area of the rectangle is 80 square units and the length of one side is 4 units, we can use the formula for the area of a rectangle (A = lw) to find the width of the rectangle. We can set up the equation like this:
A = lw
80 = 4w
w = 20
So the width of the rectangle is 20 units. This means that the vertices of one of the sides of the rectangle that represents the width could be (0,0), (0,20), (20,0), and (20,20). These coordinates assume that the lower left corner of the rectangle is at the origin (0,0). If the rectangle is not at the origin, the coordinates of the vertices would be different. For example, if the lower left corner of the rectangle was at (-5,5), the coordinates of the vertices would be (-5,5), (-5,25), (15,5), and (15,25).
PLEASE ANSWER THIS ASAP. PLEASE INCLUDE STEP BY STEP EXPLANATION!!!
Last night, troy spent 1 2/5 hours doing his math homework, then 45 minutes on his science homework. what was the total time spent on doing homework?
Answer: 129 minutes in total
Step-by-step explanation:
1 2/5 hours in decimal form 1.4 hours
1.4 hours = 84 minutes
84 + 45 = 129 minutes
Find the volume of the prism below.
Answer:
1920 yd³
Step-by-step explanation:
Answer:
1920
Step-by-step explanation:
B x W x H x 1/2(Since triangle and not cubed)
Three times a number, x, increased by four is equal to five times the number, x. Which equation can be used to solve for
O 3x+ 5x=4
O 3x+4= 5x
О 3x =4+5х
O 3x-4-5x
A cement mixture calls for 93 pounds of cement for 3 gallons of water.
What is the ratio of water to cement?
Answer:
24.9 / 93 by weight or 1 gal /31 lb = 1/31 gal/lb
Step-by-step explanation:
Water weighs approx 8.3 pounds per gallon
3 gal * 8.3 pound/gal = 24.9 pounds
water to cement then becomes
24.9 / 93 ( or 83/310)
Or maybe you just want 3 gal / 93 lb
= 1 gal /31 lb
Angel and Jayden were at track practice. The track is kilometers around.
Angel ran 1 lap in 2 minutes.
Jayden ran 3 laps in 5 minutes.
Who is running faster?
Answer:
Jayden is running faster
K
Each of the following three data sets represents the IQ scores of a random sample of adults. IQ
scores are known to have a mean and median of 100
105
105
111
105
111
102
106
91
99
99
109
99
109
111
115
112
Sample of Size 5
91
91
111
Sample of Size 12
888888 888
100
110
97
104
Sample of Size 30
91
111
113
113
108
113
108
91
118
110
Full data set o
101
109
101
109
91
97
95
CELES
m
For each data set, compute the mean and median
What is the mean of the sample of size 5?
(Type an integer or decimal rounded to one decimal place as needed
A 1.5 standard deviations above the mean IQ score is 122.5.
How do equations work?An expression that depicts the relationship between two or more numbers and variables is called an equation.
A dependent variable is one that depends on another variable, whereas an independent variable does not depend on any other variable for its value.
Giving the z score are:
z is calculated as (raw score - mean) / standard deviation.
with a standard deviation of 15 and a mean of 100. The z-score of 1.5 is equal to the IQ score that is 1.5 standard deviations above the mean, so:
1.5 = (x - 100)/15
x = 122.5
A 1.5 standard deviations above the mean IQ score is 122.5.
The Complete Question is IQ score.
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Which of the following are approximately equal to 73 hectograms? 257.5 ounces 0.73 pounds 16.09 ounces 16.09 pounds
We conclude that the closest measure to 73 hectograms is 16.09 pounds,
Which of the following are approximately equal to 73 hectograms?
First, notice that:
1 hectogram = 100 grams.
Now let's write all of the given measures in grams, and let's see which one is approximately equal to 73 hg.
Remember that:
1 ounce = 28.3 grams.
1 pound = 453.6 grams.
Then the given measures are:
257.5 oz = (257.5)*28.3 grams = 7,287.25 grams.0.73 lb = 0.73*(453.6 grams) = 331.128 grams.16.09 oz = (16.09)*28.3 grams = 455.347 grams.16.09 lb = (16.09)*453.6 grams = 7,298.4 gramsThe one that is closest to 73 hectograms is the last measure, that when written in hectograms are:
7,298.4 grams = (7,298.4/100) hectograms = 7.298 hectograms.
We conclude that the closest measure to 73 hectograms is 16.09 pounds.
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De los 12 jugadores del equipo 2/8 son delanteros
There are a total of 3 forwards on the team.
How many forwards are there on the team?A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar
Given:
2/8 of the players are forwards.
Total number of players on the team = 12
We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.
Fraction representing the forwards:
= 2/8
= 1/4
Total forwards on the team:
= 12 * (1/4)
= 3.
Translated question:
Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?
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Plzzz helps me for once!!! Graph y= -x/3 - 3/2.
Answer:
go to desmos it is a online graphing calculator
Step-by-step explanation:
A system of two equations is shown.
x+2y = 6
2x−3y = 26
What is the solution of the system?
a.(– 2, 3)
b.(1, – 2)
c.(– 2, 4)
d.(10, – 2)
Answer:
d
Step-by-step explanation:
10x2- -6=26
Answer:
D (10,-2)
Step-by-step explanation:
Help please?
How has your ability to explain
The math ideas changed? How has your ability to
plain math verbally OR written changed? How has
our ability to see how others think or explain math
hanged?
Well, Mathematics can enhance your analytical and problem-solving skills, expands the mind to handle difficult or unfamiliar tasks, and also promotes cautious and careful thinking. Once you know what the words mean you'll be able to write different variable expressions. Like I said it enhances our minds and helps think and solve probelms.
A box contains 52 Oz of oatmeal. I used 3 3/5 Oz for breakfast. What fraction of the cereal in the box did I use?
Multiplication equation:
Division equation:
9/130 part of cereal was used from the box of oatmeal.
Fraction of used cereal will be calculated using the formula -
Fraction = used amount of cereal/total amount of cereal
Converting used amount of cereal from mixed fraction to fraction
Used amount of cereal = (5×3 + 3)/5
Performing multiplication
Used amount of cereal = (15 + 3)/5
Performing addition
Used amount of cereal = 18/5
Calculating the fraction of cereal used
Fraction of cereal used = (18/5)/52
Fraction of cereal used = 18/(52×5)
Performing multiplication in denominator
Fraction of cereal used = 18/260
Simplifying the fraction
Fraction of cereal used = 9/130
Thus, the fraction of the cereal used is 9/130.
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Ezra works two summer jobs to save for a laptop that costs at least $1100 he charges $15/hr to mow lawns and $10 an hour to walk dogs. Recall the inequality that represents this situation: 15x + 10y >_ 110
is (60,20) a solution? How do you know? What does this power represent?
Answer:
The inequality that represents this situation is 15x + 10y ≥ 1100, since Ezra needs to earn at least $1100 to buy the laptop.
To check if (60, 20) is a solution to this inequality, we need to substitute x = 60 and y = 20 into the inequality and see if it is true:
15(60) + 10(20) ≥ 1100
900 + 200 ≥ 1100
1100 ≥ 1100
Since 1100 ≥ 1100 is true, this means that (60, 20) is a solution to the inequality. This means that if Ezra works 60 hours mowing lawns and 20 hours walking dogs, he will earn enough money to buy the laptop.
The point (60, 20) represents the combination of hours worked for mowing lawns (x) and walking dogs (y) that will result in Ezra earning enough money to buy the laptop. The x and y values are the inputs or variables, while the inequality 15x + 10y ≥ 1100 is the constraint that must be satisfied. The solution (60, 20) is the output or result of the system of inequalities, and represents the combination of hours worked that will satisfy the constraint.
What number can be divided into 2 equal groups without a remainder?
Answer:
Step-by-step explanation:
When we divide one number by another and there is no remainder, the divisor A the quotient are the of the first number.
8/2=4
The length of a shadow of a building is 28m . The distance from the top of the building to the tip of the shadow is 38m. Find the height of the building
Answer:
The height of the building is 2√165 (m)
Step-by-step explanation:
You can imagine that the distance from the top of the building to the tip of the shadow is like hypotenuse, the length of a shadow of a building is like squared angle edge
Assume the height of the building is x
According to Pythagorean theorem:
28^2 + x^2 = 38^2
x^2 = 38^2 - 28^2
x = √(38^2 - 28^2)
x= 2√165 (m)
Gaurav was conducting a test to determine if the average amount of medication his patients were taking was similar to the national average. He wants to use a 5% significance level for his test to help ensure that his patients do not receive too little or too much medication. If Gaurav were to conduct a test, what probability value would indicate that his null hypothesis (that there is no significant difference between the amount of medication Gaurav's patients are receiving and the national average) would be rejected?
A probability value equal to or smaller than 0.05 would indicate that Gaurav's null hypothesis should be rejected at the 5% significance level.
In hypothesis testing, the significance level, denoted as alpha (α), is the predetermined threshold used to determine whether to reject the null hypothesis.
Gaurav has specified a 5% significance level, which means he wants to control the probability of making a Type I error (rejecting the null hypothesis when it is true) at 5% or less.
If Gaurav were to conduct a test and calculate the p-value, he would compare it to the significance level of 0.05.
The p-value is the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true.
If the p-value is less than or equal to the significance level (p ≤ α), it indicates that the observed difference is unlikely to occur by chance alone under the assumption of the null hypothesis.
Gaurav would reject the null hypothesis and conclude that there is a significant difference between the average amount of medication his patients are taking and the national average.
Conversely, if the p-value is greater than the significance level (p > α), it suggests that the observed difference could reasonably occur by chance, and Gaurav would fail to reject the null hypothesis.
This would imply that there is no significant difference between the average medication amounts of Gaurav's patients and the national average.
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What is the difference in the things shown on the photo
option c) 4x⁴ -2x³ -2x² +3x -10
On subtracting we will get
(3x²₋ 2x + 4x⁴) - (5x²+2x³-5x+10)
= 3x²- 5x²- 2x -2x³+ 4x⁴+ 5x -10
= -2x² + 3x -2x³ + 4x⁴- 10
= 4x⁴ -2x³- 2x² + 3x - 10
The given sum belongs to quadratic equation
Quadratic equation definition:
When a, b, and c are real-world coefficients, a second-order equation is said to be quadratic if it is represented as ax²+ bx + c = 0.
The Characteristics of Quadratic Equations' Roots
The discriminant of the quadratic equation ax2+bx+c=0 is (b2-4ac), which determines whether or not the equation has real roots.
The quadratic equation ax2+ bx + c= 0 hence
If b2-4ac >0, two different real roots
If b2-4ac= 0, there are two equal real roots.
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