The slope of a line that passes through the ordered pairs (0,1) and (3,5) would be m = 4/3.
What is the slope of a line which passes through points ( p,q) and (x,y)?Slope tells how vertical a line is.
The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal. Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.
Its slope would be:
\(m = \dfrac{y-q}{x-p}\)
WE have been given line that passes through the ordered pairs (0,1) and (3,5).
Slope = m
Therefore,
\(m = \dfrac{y-q}{x-p}\\\\m = \dfrac{5 -1}{3-0}\\\\m = \dfrac{4}{3}\)
Hence, the slope of a line that passes through the ordered pairs (0,1) and (3,5) would be \(m = \dfrac{4}{3}\).
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The triangles shown below must be congruent lmk ASAP
the answer will be false
A man gave 90000.00 to his two daughters Jane and Lydia, 75.00 was given to Lydia to pay her load. After sharing the money Lydia has twice as
much as Jane. How much did each received?
Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.
We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.
Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.
Therefore, y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.
Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.
Simplifying, we have :3x = $90000 + 75 = $90075.
Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.
Therefore, Jane received $30025 and Lydia received $60000.
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Which best explains how you know that P(2, 7) is on the same line as Q(7, 4) and R(12, 1)? CHECK All three points are in the same quadrant. To get from P to Q and from Q to R, you move down 3 units and 5 units to the right. The points are named with three consecutive letters of the alphabet. The sum of the coordinates of each point is odd
Answer:
To get from P to Q and from Q to R, you move down 3 units and 5 units to the right.
Homework part2 need help asap
The key features of the given quadratic functions are listed below.
What is the graph of a quadratic function?In Mathematics and Geometry, the graph of any quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) i.e 3 > 0.
For the quadratic function y = 3x² - 5, the key features are as follows;
Axis of symmetry: x = 0.
Vertex: (0, -5).
Domain: [-∞, ∞]
Range: [-5, ∞]
For the quadratic function y = -2x² + 12x - 15, the key features are as follows;
Axis of symmetry: x = 3.
Vertex: (3, 3).
Domain: [-∞, ∞]
Range: [-∞, 3]
For the quadratic function y = -x² + 1, the key features are as follows;
Axis of symmetry: x = 0.
Vertex: (0, 1).
Domain: [-∞, ∞]
Range: [-∞, 1]
For the quadratic function y = 2x² - 16x + 30, the key features are as follows;
Axis of symmetry: x = 4.
Vertex: (4, -2).
Domain: [-∞, ∞]
Range: [-2, ∞]
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You rent an apartment that costs $1300 per month during the first year, but the rent is set to go up 7.5% per year. What would be the rent of the apartment during the 10th year of living in the apartment? Round to the nearest tenth (if necessary).
What is the slope of the following line?
Answer:c, the answer is c
Step-by-step explanation:
In a group of 20 pupils, 2 play the flute only.
2 play the piano only.
14 play both instruments.
A student is chosen at random.
What is the probability the student plays neither instrument?
Answer:
there is a 20% probability that the chosen student plays neither
Step-by-step explanation:
14+2+2=16
20-16=4
4/20= 1/5
1/5= 0.2
0.2= 20%
The probability the student plays neither instrument is 10%.
What is Probability?Probability is the measure of the likeliness of an event to happen.
The probability has a range from 0 to 1, 0 denotes uncertainty and 1 indicates certainty.
The group consists of 20 pupils
The people who only play flute is 2.
The people who only play piano is 2.
The people who play both the instrument is 14.
The people who do not play either of the instrument is,
= 20 - ( 2 + 2 +14)
= 20 - 18
= 2
The probability = No. of favourable outcomes/ Total outcomes
Probability ( Neither of the instrument) = 2 /20
Probability ( Neither of the instrument) = 0.1
Probability ( Neither of the instrument) = 10%
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Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
Find the product. 8 4²/7 × ₁5 15
Answer: 519 120
Step-by-step explanation:
84*84=7056
7056/7=1008
1008*515=519 120
The base unit used to measure weight in the metric system is?
a.
liters
b.
ounces
c.
grams
d.
pounds
Answer:
C. Grams
Step-by-step explanation:
answer i live in the U.K.
Answer:
C. grams
Step-by-step explanation:
Liters measure volume. Ounces and pounds are not basic units. Plus I got it right on edg.
Go thank my answer.
If the true mean is 50 and we reject the hypothesis that μ = 50, what is the probability of Type II error? Hint: This is a trick question.
Answer:
Zero
Step-by-step explanation:
Given that:
the true mean is 50 and we reject the hypothesis that μ = 50
The probability of the Type II error will be zero, given that we reject the null hypothesis. This has nothing to do with if it is true or false.
Type II error is occurs when you accept a false null hypothesis. The probability of this error is denoted by beta which relies on sample size and population variance.
The probability of rejecting is equal to one minu beta. i.e it is the researchers goal to reject a false null hypothesis.
3-3x^2-8x^4x
the expression represents___polynomial with _terms. the constant term is_ the leading term is _and the leading coefficient is _
Answer:
4th degree, with 3 terms, 3, 8x^4x, 8
Step-by-step explanation:
Solve for u in terms of s, t, and v.
t = u + s + v
Answer:
\(t = u + s + v \\ \boxed{u = t - s - v}\)
u = t-s-v is the right answer.CAN SOMEONE HELP ME PLEASE (ASAP)
Answer:
what do you need help with
Step-by-step explanation:
Mrs. Rinaldi bought 5 pounds of apples. She used of that amount to make pies. How many pounds of apples did she use for the pies?
1 1/3+1/2 how would you do this problem step by step
Answer:
1 5/6
Step-by-step explanation:
1 1/3 = 4/3
4/3 + 1/2 = 8/6 + 3/6 = 11/6 =1 5/6
Answer:
the answer I got is 25/6
Step-by-step explanation:
22/6+3/6 since 22/6 and 3/6 have the same denominator add them by adding their numberators
22+3/6 add 22 and 3 to get 25
25/6
Given g(-2) = -4 and g'(-2) = 5, find the value of h'(-2) based on the function below.
h(x) = (-2x + 6) • g(x)
Step-by-step explanation:
so,
h(x) = f(x) × g(x)
h'(x) = f'(x) × g(x) + f(x)×g'(x)
with f(x) = -2x + 6
f'(x) = -2
so,
h'(-2) = -2 × g(-2) + (-2×-2 + 6) × g'(x) =
= -2 × -4 + 2 × 5 = 8 + 10 = 18
what is the greatest counting number that is a factor of both 96 and 120 but has no common factor with 105 other than 1?
The greatest counting number that is a factor of both 96 and 120 but has no common factor with 105 other than 1 is 2.
The given number are 96 and 120.
What is the greatest common factor?The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The GCF of two natural numbers x and y is the largest possible number that divides both x and y without leaving any remainder.
The factors of given number are
The factors for the number 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120.
The factors of 105 are 1, 3, 5, 7, 15, 21, 35 and 105.
Therefore, the greatest counting number that is a factor of both 96 and 120 but has no common factor with 105 other than 1 is 2.
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What is the third quartile of the following data set?
20, 21, 24, 25, 28, 29, 35, 36, 37, 43, 44
Answer:
37
Step-by-step explanation:
Before we find quartile, we have to arrange the data set in order first from least to greatest which this problem has already arranged the data for us.
Next, proceed with the calculation. The formula for finding position of quartile is:
\(\displaystyle{Q_r = \dfrac{r(N+1)}{4}}\)
Where \(\displaystyle{Q_r}\) means the rth quartile, N means number of data set. Since we want to find the third quartile, substitute r = 3 and there are 11 data so substitute N = 11:
\(\displaystyle{Q_3 = \dfrac{3(11+1)}{4}}\\\\\displaystyle{Q_3 = \dfrac{3(12)}{4}}\\\\\displaystyle{Q_3 = 3\cdot 3}\\\\\displaystyle{Q_3 = 9}\)
So the position of third quartile is at 9th position which is 37.
Henceforth, the third quartile is 37.
Answer:
37.
Step-by-step explanation:
The data is in ascending order, which is what we need to get the answer.
As there are 11 numbers the 9th number is the upper(third) quartile.
The median ( middle) number is 29 and the upper quartile is the middle number of the 5 numbers to the right of the median.
It is 37.
show that if a and b are square, upper triangular matrices. then so is ab. (hint: the ith column of ab is a suitable linear combination of the columns of a)
Hence, if i > j, then (AB)ij is a sum of products of zeros, and is therefore zero. This means that all the entries below the main diagonal in the matrix AB are zero. Therefore, AB is also an upper triangular matrix.
To show that if a and b are square, upper triangular matrices, then so is ab, we need to prove that all the entries below the main diagonal in the matrix ab are zero.
Let A and B be square, upper triangular matrices of size n x n.
Then the (i,j)th entry of AB is given by:
(AB)ij = Σk=1n AikBkj
For i > j, we have:
(AB)ij = Σk=1n AikBkj = Σk=1j AikBkj + Σk=j+1n AikBkj
Since A is upper triangular, we have Aik = 0 for k > i.
Therefore, the first sum above is non-zero only for k ≤ i. Since B is also upper triangular, we have Bkj = 0 for k > j.
Therefore, the second sum above is non-zero only for k > j.
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how do u graph the solution y=2x-1 iready
Answer:
Step-by-step explanation:
y=mx+b
m= slope and b= y intercept
you'll start with a point on the y axis on -1
and the slope will go up so towards the right corner up but 2/1 points
Solve the inequality:
Please select the best answer from photo of choices provided.
Answer:
b. h>-4
Step-by-step explanation:
Remember solving a inequality is similar to solving an equation, to do so you need to isolate the variable.
\(\frac{3}{2}h+12\geq 6\)
To solve first subtract 12 from both sides
(3/2)h>-6
Then, multiply both sides by (2/3)
h>-4
What are the slope and the Y intercept of the linear fractionThat is represented by the equation y= - 10x + 1
The slope is the number with the letter x
The slope would be -10
The y intercept is the number at the end of the equation.
The y intercept is 1
A blueprint used a scale of 1.5 cm = 2 m to
represent a grain silo. If the height of the silo in
the drawing was 33 cm, how tall is the actual grain
silo?
Answer: The Silo is 44 meters tall
Step-by-step explanation:
To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)
Triangle D has been dilated to create triangle D′. Use the image to answer the question.
image of a triangle labeled D with side lengths of 18, 24, and 30 and a second triangle labeled D prime with side lengths of 6, 8, and 10
Determine the scale factor used.
Scale factor of one third
Scale factor of 3
Scale factor of 4
Scale factor of one fourth
The scale factor used to dilate triangle D to create triangle D' is 1/3. This means that each side length in triangle D' is one-third of the corresponding side length in triangle D.
To determine the scale factor used to dilate triangle D to create triangle D', we can compare the corresponding side lengths of the two triangles.
In triangle D, the side lengths are given as 18, 24, and 30. In triangle D', the corresponding side lengths are given as 6, 8, and 10.
To find the scale factor, we can divide the corresponding side lengths of D' by the corresponding side lengths of D.
Scale factor = Length of corresponding side in D' / Length of corresponding side in D
For the corresponding sides, we have:
Scale factor = 6/18 = 1/3
Please note that the scale factor can also be determined by comparing the area or perimeter of the two triangles. However, in this case, we used the corresponding side lengths to find the scale factor.
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Which of the following (x,y) coordinates are solutions to the inequality 2x+5y<1?
The solution to the inequality given as 2x+5y<1 has the coordinates of (-10, 4)
How to determine the coordinates of the solution of the inequality?From the question, we have the following inequality that can be used in our computation:
2x+5y<1
Solving further, we need to collect the like terms
Since there are no like terms in the expression, it remains unchanged
So, the inequality becomes
2x + 5y < 1
Subtract 5y from both sides of the inequality
This gives
2x < 1 - 5y
Divide both sides by 2
The expression becomes
x < 1/2 - 5/2y
Evaluate
x < 0.5 - 2.5y
At this point, we assume any value for y and then solve for x
Assume that the value of y is 4
So, we have the following representation
x < 0.5 - 2.5 * 4
Evaluate the products
x < -9.5
This means that x is less than -9.5 when y is 4
-10 is less than -9.5
So, we have
x = -10 and y = 4
Express as ordered pairs (i.e. coordinates)
(x, y) = (-10, 4)
Hence, the coordinates of the solution is (-10, 4)
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Use an area model to divide 2,760 by 15 make sure to show ur work
We have that The Diagram for the Area Model is attached below is correct
From the question we are told
Use an area model to divide 2,760 by 15
Generally the Diagram for the Area Model is attached below
Generally the equation for the 2,760 divided by 15 is mathematically given as
Therefore
\(x=\frac{2,760}{15}\\\\x=184\)
Hence
The Diagram for the Area Model is attached below is correct
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how oes the relationship between logarithms and exponential functions help us find solutions
The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.
Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.
One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.
Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.
This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.
Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.
In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.
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When multiplying exponential terms with the same base, which best explains how to simplify the expression?
O Add the exponents.
O Subtract the exponents.
O Multiply the exponents.
O Divide the exponents.
Answer:
First answer: "Add the exponents"
Step-by-step explanation:
The laws of exponents include the following for product of exponents with the same base:
\(x^a\,*\,x^b = x^{a+b}\)
which implies addition of exponents
So you need to add exponents
Do you love math?
Do you like math?
Answer:
frickk math
Step-by-step explanation:
i will never use it