The slopes and points are:
a) (-3/4) and the point is (4, 9)
b) (-2/3), and the point is (-4, 3)
How to identify the slope and point on these lines?
A line with a slope a and a known point (h, k) can be written as:
y - k = a*(x - h)
So that is the slope-point form of the linear equation.
a) The first linear equation is:
y - 9 = (-3/4)*(x - 4)
Comparing this with the general line above, we can see that the slope is (-3/4) and the point is (4, 9)
b) y = 3 - 2/3 (x +4)
We can rewrite this as:
y - 3 = -(2/3)*(x + 4)
Then in this case the slope is (-2/3), and the point is (-4, 3)
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168 divided by 12 array
168 divided by 12 is 14.
Explanation:14 <-- quotient
---
168
12
--
48
48
--
<-- remainder
What is Long Division?The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions. When solving an issue involving long division, the dividend—a high number—is divided by the divisor, a smaller number. The excess amount that cannot be divided yields the quotient, which is known as the residual. Long Division Calculator Multiplication, which is the opposite of division, addition, and subtraction are the other fundamental arithmetic operations. You can uncover common factors and simplify fractions using the arithmetic skill of long division.To learn more about Long Division refer to:
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Consider these functions:
f(x)=-1/2x² + 5x
g(x)=x² + 2
What is the value of f(g(-2))?
O A. -28
OB.
O C. 12
O D.
-12
146
[tex]f(x)=-\cfrac{1}{2}x^2 + 5x\hspace{13em}g(x)=x^2+2 \\\\[-0.35em] ~\dotfill\\\\ g(-2)=(-2)^2+2\implies g(-2)=4+2\implies g(-2)=6 \\\\[-0.35em] ~\dotfill\\\\ f(~~g(-2)~~)\implies f(6)\implies f(6)=-\cfrac{1}{2}(6)^2+5(6) \\\\\\ f(6)=-\cfrac{36}{2}+30\implies f(6)=-18+30\implies \stackrel{f(~~g(-2)~~)}{f(6)}=12[/tex]
1. Write the equation of the parabola that contains these points (-2, -1), (-1, -6), (0, -7), (1, -4)
Answer:
(not a possible parabola)
Step-by-step explanation:
see the plot...
Rewrite the decimal fraction as a decimal number. 14 25 100
The decimal fraction as a decimal number.14,25
What is decimal?
The base-10 number system, arguably the most widely used number system, is referred to as decimal. The 10 single-digit digits of the decimal number system are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The number following nine is 10. 19 is followed by 20, and so on.
The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
14 25/100= 14*100+25/100=
1400+25/ 100
= 1425/100
= 14.25
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Mrs. Valdez is looking at a graph that shows a line drawn between two points with a slope of -5.
One of the points is smudged and she cannot read it. The points as far as she can tell are (3,5) and
(x, 10). What is the value of x? Show all of your work!
the value for x = 2
the explanation is above
i hope i helped
Distribute -2 (6a-6)
Answer:
12 - 12 a
Step-by-step explanation:
Using the artofstat.com website, click on Web Apps, Permutation Test.You should be on the tab at the top of the screen that says "Data Entry and Descriptive Stats." Make sure that it is selected. We are going to enter the data to run a permutation test to see if there is a difference in the mean amount of time spent on emails per day between in state and out of state students.
First select "Enter Your Own Observations".
Under Name of Group 1 enter: In state Students
Under Name of Group 2 enter: Out of state students.
Under Name of Response Variable enter: time.
Enter the below data under the heading "Enter observations for each group, separated by spaces, or copy & paste from spreadsheet:"
Group 1: In state students: 2 1 1 2 2 2 4 3 4 1 2 2 1
Group 2: Out of state students: 1 2 2 3 1 1 1 2 5 2 2 1 1
Make sure that the option "Select Test Statistic:" says "Difference of sample means".
The test statistic appears at the bottom of the screen.
What is the test statistic?
Group of answer choices
A. 0.0769
B. 0.7315
C. 2
D. 0.231
Correct P-value = 0.6386 approximately equal to 0.64.
What is Permutation Distribution?
The permutation test is a statistical technique that is becoming more popular for creating sample distributions (or sometimes called a randomization test). Similar to bootstrapping, a permutation test resamples the observed data to create the sampling distribution, or "permutation distribution," rather than assuming it.
Group 1 data(in state sudents): 2 3 3 6 2 1 1 5 3 2.5
Group 2 data(out of state sudents):1 2 2 1 2 1 4 3 9 1 12 5 2
Summary Statistics For Permutation Distribution:
Permutations Unique Values Mean St. Dev. Min Q1 Median Q3 Max
10,000 71 -0.0153 1.15 -2.91 -0.877 0.00769 0.804 3.37
Permutation Test:
Number of Permutations Test Statistic Observed Value Number of Permutations with (x1 - x2) As or More Extreme Than Observed Value Permutation P-value
10,000 x1 - x2 -0.612 6,386 0.6386
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what is 7j + 5 - 8k when j = 0.5 and k = 0.25?
Answer: 6.5
Step-by-step explanation:
To perform this kind of exercise, it is necessary to replace the value indicated in each variable each time you find the variable in the equation.
Answer:
6.5
Step-by-step explanation:
Substitute the known variables into the equation
7(0.5) + 5 - 8(0.25)
Multiply: 3.5+5-2
Solve: 6.5
1 Select the statement that correctly describes the
solution to this system of equations.
18x-2y = -4
14x-y=-2
A.
There is exactly one solution at (2.0).
B. There is no solution.
C. There is exactly one solution at (0,-2).
D. There are infinitely many solutions.
The solution to the given system of equation has exactly one solution at (0,2).
Which property is used in elimination method?The addition property of equality is used in the elimination technique to solve systems of linear equations.
What is elimination formula?To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.
Given pair of equations is
18x - 2y = -4 ....(i)
4x - y = -2 .....(ii)
To solve the equation apply elimination method.
Multiply equation (ii) by 2 and subtract it from (i):
18x - 2y = -4
8x - 2y = -4
(-) (+) (+)
_________
10x = 0
x = 0
Putting x = 0 equation (ii)
0 - y = -2
y = 2
So there is exactly one solution (0,2).
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The solution to the given system of equation has exactly one solution at (0,2).
Which property is used in elimination method?
The addition property of equality is used in the elimination technique to solve systems of linear equations.
What is elimination formula?
To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.
Given pair of equations is
18x - 2y = -4 ....(i)
4x - y = -2 .....(ii)
To solve the equation apply elimination method.
Multiply equation (ii) by 2 and subtract it from (i):
18x - 2y = -4
8x - 2y = -4
(-) (+) (+)
_________
10x = 0
x = 0
Putting x = 0 equation (ii)
0 - y = -2
y = 2
So there is exactly one solution (0,2).
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2=7(−2)+4 what is y?
Answer:
2
Step-by-step explanation:
y would be the first number in the equation on the left side of the equal sign. This looks lik the y=mx+b formula, so m, being slope, would be 7, -3 would be x, and b would be 4.
I really need to finish this
Answer:
A
Step-by-step explanation:
an open circle on a value means that x cannot equal that value
a closed circle on a value means that x can equal that value
from the number line
closed circle at - 3 means x can equal 3
open circle at 2 means that x cannot be equal to 2
all values between - 3 and 2 are solutions for x, then
x ≥ - 3 and x < 2 or - 3 ≤ x < 2
how do you use equilateral and isosceles triangles to compute values of the trig functions at multiples of 30 and 45 degrees
Drawing an altitude and computing the side lengths of the resulting half triangle for an equilateral and isosceles triangle, would give the trigonometric functions for multiples of 30 and 45 respectively.
What is the significance of 30°-60°-90° and 45°-45°-90° right triangles?In a 30°-60°-90° right triangle, the longer leg is [tex]\sqrt{3}[/tex] times longer than the shorter leg, and the hypotenuse is twice as long. In a 45°-45°-90° right triangle, sides opposite to the equal angles (45°) are equal and the hypotenuse is [tex]\sqrt{2}[/tex] times the other sides.
To find the trigonometric functions of multiples of 30°, first consider a equilateral triangle of, say, side-length 2. Draw an altitude for the triangle. Each of the half triangle are 30°-60°-90° right triangle. Clearly the base will be divided into 2 equal parts of length 1 each. Now using Pythagorean Theorem on one of the 30°-60°-90° right triangle, trigonometric functions for multiples of 30° could be obtained.
Draw x and y axis. Now take a length of , say , 2 in the x-axis and using a compass pointed at origin and mark the point on y axis with a length 2. Now join these points on x and y axis. A 45°-45°-90° isosceles right triangle with side-length 2 is obtained. Now using Pythagorean Theorem, trigonometric functions for multiples of 45° could be obtained.
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An artist sold 128 pieces of jewelry. Of the pieces of jewelry sold, 32 were rings. What percent of the pieces of jewelry sold were rings?
Step-by-step explanation:
when you have a problem you can tell me please follow
- 4(3/2 * x - 1/2) = - 15
Answer:
2 5/6 OR 3
Step-by-step explanation:
1. Divide Both sides by four.
2. -15/-4 can be simplified to 15/4 by removing the negative sign from both the numerator and the denominator.
3. Add 1/2 to both sides
4. Least common multiple of 4 and 2 is 4. Convert 15/4 and 1/2 to fractions with the denominator 4.
5. Since 15/4 and 2/4 have the same denominator, add them by adding their numerators.
6. Add 15 and 2 to get 17.
7. Multiply each side by 2/3, the reciprocal of 3/2 (cancel out 3/2 and leave only X)
8. multiply 17/4 by 2/3 by multiplying numerator times numerator and denominator times denominator.
9. By doing the multiplications 17x2/4x3 you should get 34/12
10. Reduce the fraction 34/12 to lowest terms by extracting and cancelling out 2.
11. You should get 17/6.
Final Step: if you are asked for a mixed number, the answer is 2 5/6 OR if asked for a decimal, put 2.833333333 or 3 IF asked to round.
What is the unit rate per muffin if Anna chose to buy 15 for $6.15?
Answer:
2.44$ per muffin
Step-by-step explanation:
15/6.15
what is 1/12 simplified
Answer: it’s already in its simplest form
Step-by-step explanation:
Answer: The fraction [tex]\frac{1}{12}[/tex] is already at its simplest form.
Step-by-step explanation: Sorry if this isn't correct, hope this helps!
Find the demand function for the marginal revenue function. Recall that if no items are sold, the revenue is 0.R′(x) = 0.06x^2 − 0.05x + 138
The demand function for the marginal revenue function is found as; p(x) = 0.02x² - 0.025x + 138.
Explain the term revenue function?The relationship between the demand function p(x) as well as the revenue function R(x) is given by the equation R(x)=xp(x), where x represents the quantity of units sold.In order to get the revenue function, we shall integrate the marginal revenue function R′(x).For the given question;
R′(x) = 0.06x² − 0.05x + 138
R(x) = ∫R′(x)dx
R(x) = ∫[0.06x² − 0.05x + 138] dx
R(x) = 0.06x³/3 - 0.05x²/2 + 138x + C
R(x) = 0.02x³ - 0.025x² + 138x + C
If R(0) = 0, revenue is 0.
Put x = 0.
0.02x³ - 0.025x² + 138x + C = 0
c = 0
Thus,
R(x) = 0.02x³ - 0.025x² + 138x
Factorizing the function,
R(x) = 0.02x³ - 0.025x² + 138x
R(x) = x(0.02x² - 0.025x + 138)
R(x) = xp(x) . Thus,
p(x) = 0.02x² - 0.025x + 138
Therefore, the demand function for the marginal revenue function is found as; p(x) = 0.02x² - 0.025x + 138.
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Billy went to the hardware store and bought 18 identical sections of pipe. The total length of the pipes was 45. 18 meters. How long was each pipe?.
The length of each identical section of pipe is 2.51 meters
Define Algebraic Expression
In mathematics, an expression that includes variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.)
Given,
Billy bought 18 identical sections of pipe.
Total length of pipes = 45.18 meters
The length of each pipe is = 45.18 / 18
= 2.15 meters
Hence, the length of each identical section of pipe is 2.51 meters
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The amount of money that mary earns varies directly with the number of hours worked. If mary earns $320 for working 40 hours, determine the constant of variation.
The constant of variation when the amount of money that Mary earns varies directly with the number of hours is 8.
According to the question,
We have the following information:
The amount of money that Mary earns varies directly with the number of hours worked. And Mary earns $320 for working 40 hours.
Now, following expression can be used to express this relationship where y is the amount of money and x is the number of hours.
y = kx
320 = 40k
Dividing by 40:
k = 320/40
k = 8
Hence, the constant of variation when the amount of money that Mary earns varies directly with the number of hours is 8.
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The point (8, 36) is shown on the graph. Write an equation that represents this situation, where y
represents the amount of macaroni, in cups, and x represents the amount of cheese in cups.
The equation that represents this situation is y= 4x
How to determine the equation that represents this situation?From the question, we have the following parameters that can be used in our solution:
Point = (8, 36)
This point can be represented as
(x, y) = (8, 36)
From the above parameter, we can calculate the constant of variation
The constant of variation is calculated as
Constant of variation = y/x
Substitute the known values in the above equation
So, we have the following equation
Constant of variation = 36/8
Evaluate the quotient
Constant of variation = 4
Recall that:
Constant of variation = y/x
So, we have
y/x = 4
This gives
y = 4x
Hence, the equation is y = 4x
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You have 2 different aving account. For Account A, the imple interet earned after 15 month i $9. 25. For Account B, the imple interet earned after 18 month i $25. 20. If the interet rate i 3. 7% for Account A and 2. 4% for Account B, how much i the principal in each account? Which account earned you the mot interet the firt month? Explain your anwer
The principal amount for account A is $200 and for account B is $700.
Account B earns more simple interest than account B in first month.
Given,
Account A
Simple interest, SI = $9.25
Time period, T = 15 months = 1 1/4 = 5/4 years
Rate of interest, R = 3.7%
Account B
Simple interest, SI = $25.20
Time period, T = 18 months = 1 1/2 = 3/2 years
Rate of interest, R = 2.4%
We have to find the principal amount for each account and also the account which earned the more simple interest;
Here,
Simple interest, SI = PRT/100
P is the principal amount
Now,
Account A.
Principal amount,SI = PRT/100
9.25 = (P × 3.7 × 5/4) / 100
9.25 × 100 = P × 4.625
P = 925/4.625
P = $200
Simple interest for first month,SI = PRT/100
SI = (200 × 3.7 × 1/15) / 100
SI = 2 × 3.7 × 1/15
SI = $0.493
Next,
Account B
Principal amount,SI = PRT/100
25.20 = (P × 2.4 × 3/2) / 100
25.20 × 100 = P × 3.6
P = 2520/3.6
P = $700
Simple interest for first month,SI = PRT/100
SI = (700 × 2.4 × 1/18) / 100
SI = 7 × 2.4 × 1/18
SI = $0.933
Here,
The principal amount for account A is $200
The principal amount for account B is $700
Simple interest for first month;
Account A = $0.493
Account B = $0.933
Therefore,
In first month account B earns more simple interest than account A.
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Find the value of a b c if 173a i diviible by 9, 173b i diviible by 11 and 173c i divible by 6
The value of a , b and c are 7, 11 and 1 respectively.
173a is divisible by 9.
Rule of divisible by 9 is:
The number itself is divisible by 9 if its digit sum is also divisible by 9.
digits sum = 1+7+3+a = 11+a.
11+a is divisible by 9. a can be 7 so that 11+7 = 18 is divisible by 9.
minimum positive value of a = 7.
173b is divisible by 11
Rule of divisible by 11 is:
A number is completely divisible by 11 if the difference between the sum of its alternative digits is divisible by 11.
sum of its alterative digits:
1+3 =4
7+b =7+b
difference of alternative digits sum = 7+b-4 = b+3 is divisible by 11 b = 8
so that 8+3 = 11 is divisible by 11.
minimum positive value of b = 11.
173c is divisible by 6.
Rule of divisible by 11 is:
Any number that can be divided by both 2 and 3 is also divisible by 6.
sum of digits of number = 1+7+3+c = 11 + c if divisible by 2 then it should be even if we put c = 1 , 11+1 = 12 which is divisible by both 2 and 3.
minimum positive value of c = 1.
So the value of a ,b and c are 7, 11 and 1 respectively.
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A triangle is shown with its exterior angles. Angles 2, 6, and 4 are the interior angles. Angle 1 is the exterior angle at angle 2. Angle 5 is the exterior angle at angle 6. Angle 3 is the exterior angle at angle 4.
Which statements are always true regarding the diagram? Check all that apply.
The answer to this Question based on Linear pair is 180 degree
What is Linear Pair?
A linear pair is a pair of adjacent angles that are supplementary, meaning they add up to equal 180 degrees. Linear pairs can be found in many shapes and geometric shapes, such as squares, rectangles, and parallelograms. Linear pairs can also be found in the angles of intersecting lines. When two lines intersect, four angles are formed, and two of them will always form a linear pair. Linear pairs can also be found in circles, as the angles formed by two chords that intersect with each other will always form a linear pair.
Suppose any triangle we are given 6 angles in which 3 are interior and 3 are exterior
suppose we take any pair of interior and exterior and we can see that it will always form a linear pair and its sum will be equal to 180 degree
Here in this question sum of angle 1 and 2
sum of angle 5 and 6
sum of angle 3 and 4
all will be same and will be equal to 180 degree by Linear Pair
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Answer:
a,b,c
Step-by-step explanation:
a) m∠3 + m∠4 = 180°
b) m∠2 + m∠4 + m∠6 = 180°
c) m∠2 + m∠4 = m∠5
these are the correct answers for edge 2023 geometry assignment; Triangle Angle Theorems
hope this helps!
Evaluate (7.62 × 105) – (8.1 × 103). Express the result in scientific notation.
The value of the expression in the form of the scientific notation is 7.539 x 10⁵.
What is a scientific notation?Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It may be called scientific form.
When a number is written using only the digits of the number, that is considered standard notation. Since words are not used in conventional number notation, this is the way that numbers are typically written.
The expression is (7.62 × 10⁵) – (8.1 × 10³). The expression will be solved as,
E = (7.62 × 10⁵) – (8.1 × 10³)
E = (7.62 × 10⁵) – (0.081 × 10⁵)
E = 7.539 x 10⁵
Therefore, the value of the expression in the form of the scientific notation is 7.539 x 10⁵.
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Question 1
Is this a function? Explain, why or why not!
X
-2
-4
-6
y
1
1
1
Edit View Insert Format Tools Table
2 pts
If 1.5 liters of washing up liquid is 2.70 find the cost of 1 liter
A random ample of 18 ize AA batterie for toy yield a mean of 2. 76 hour with tandard deviation, 1. 03 hour. (a) Find the critical value, t*, for a 99% CI. T* =
(b) Find the margin of error for a 99% CI
Therefore the solution of this problem is a)critic value t = 2.8982 b)margin of error= 2.985146
What is standard deviation?In statistics, the standard deviation measures how widely distributed or how much a set of values might vary. In contrast to a high standard deviation, which indicates that values are widely dispersed, a low standard deviation indicates that values are typically close to the set's mean.
Here ,
where s is the sample's standard deviation
Finding the number of degrees of freedom is the first step in solving this problem. The sample size has been reduced by 1.
So
df = 18 - 1 = 17
99% confidence interval
We must now determine the value of T, which can be done by consulting the t table, which has 17 degrees of freedom (on the y-axis) and a confidence level of).
[tex]1 - \frac{1-0.99}{2} =0.995[/tex]
So we have T = 2.8982.
The margin of error is:
M = T*s = 2.8982*1.03 = 2.985146
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whats 1+1 im really confused about this one
can someone tell me.
Answer:
2
Step-by-step explanation:
take an example like
u have one apple then someone gives you another one apple
when you add them,
you get 2
You deposit $6000 in an account earning 4% interest compounded monthly. How much will you have in the account in 5 years??
Only answer if you know ! Any other answers will be reported.
$7325.98 is the amount you have in the account in 5 years
How to calculate how much will you have in the account in 5 years?
Compound interest is the interest determined on the principal and the interest accumulated over the previous period.
Given that: You deposit $6000 in an account earning 4% interest compounded monthly.
Amount (A) = P(1+r)^t
Where P is the principal, r is the interest rate and t is the time
P = $6000, r = 4% / year = 4/12 = 1/3 % / month = 1/300 , t = 5 years = 5×12 = 60 months
A = P(1+r)^t
A = 6000(1 + 1/300)⁶⁰
A = $7325.98
Thus, you will have $7325.98 in the account in 5 years
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how do negative exponents represent reapeated division NEEED THIS DONE BEFORE MIDNIGHT 12/4/22