Lines that have the same slope are said to be parallel, and if the slope of one line is equal to the negative reciprocal of the slope of the other, the two lines are said to be perpendicular; otherwise, they are merely intersecting lines.
A line's slope is defined as the ratio of the change in the y coordinate to the change in the x coordinate.
Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively. and
m = Δy/Δx = dy/dx = change in y/change in x
where "m" represents a line's slope.
Additionally, the slope of the line may be shown as
tan θ = Δy/Δx
A line's slope often indicates the steepness and direction of the line.
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Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively. and
m = Δy/Δx = dy/dx = change in y/change in x
where "m" represents a line's slope.
Additionally, the slope of the line may be shown as
tan θ = Δy/Δx
PLEASE HELLLLPPPPP IM SO CONFUSED
Darcy is buying a new couch that cost $999.00. She has two payment options.
Option 1: Pay with credit card. The card charges 20.00% annual interest and Darcy expects to pay off the charge in 30 days.
Option 2: Take the store promotion of 15 monthly payments of $70 (including tax)
a) Calculate the total cost of each option
b) What is the annual interest rate being charged with Option 2?
Please show your work.
Answer:
Step-by-step explanation: a) To calculate the total cost of the couch when paid with a credit card, we need to calculate the amount of interest that will be charged. To do this, we first need to calculate the monthly interest rate by dividing the annual interest rate by 12. In this case, the monthly interest rate is 20/12 = 1.67%.
Next, we need to multiply the cost of the couch by the monthly interest rate to find the amount of interest that will be charged. In this case, the amount of interest is 999 * 1.67% = 16.67.
Finally, we need to add the amount of interest to the cost of the couch to find the total cost when paid with a credit card. In this case, the total cost is 999 + 16.67 = 1015.67.
To calculate the total cost of the couch when paid with the store promotion, we simply need to add up all 15 monthly payments. In this case, the total cost is 15 * 70 = 1050.00.
b) To calculate the annual interest rate being charged with Option 2, we need to divide the total cost of the couch by the number of monthly payments and then multiply by 12. In this case, the annual interest rate is (1050/15)*12 = 96%.
If Jasper makes 90 sandwiches, how many ounces of peanut butter will he have left?
Answer:
10
Step-by-step explanation:
each 10 peanut butter sandwiches takes 10 ounces
Answer:
10
Step-by-step explanation:
What are the steps of copying?
The steps of copying involve selecting the text you want to copy, copying the text using the option from the right click menu or alternatively using the keyboard shortcut ctrl + c.
What is a clipboard?The clipboard is a section of memory that the computer temporarily saves data when you copy or cut it from its original location. When you paste something, the previously copied or cut data is retrieved from the clipboard and added to the new location.
What is the difference between copying and cutting the text?Text that is copied remains in its original location; a copy of the original text is created and kept in the clipboard. When you cut text, the original text is removed from its original location and put in the clipboard. When you copy or trim text, the original text is kept, but the original location is lost. In all cases, the copied or chopped text can be put into another location.
These steps can be used to copy text or other objects in a computer program:
By highlighting it with your pointer, you may choose the text or object that you wish to copy.
Use the keyboard shortcut "Ctrl+C" or the context menu when you right-click the highlighted text or object to choose "Copy" from the context menu.
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What is the vertex of the graph of f x )=[ x 5 ]- 6?
The vertex of the graph of f(x) = |x - 5| - 6 is (5, -6). It lies in the fourth quadrant.
Therefore the answer is (5, -6).
The graph f(x) = |x - 5| - 6 is symmetrical about the axis x = 5.
A vertex of a graph is a node of a graph. For a graph of the form f(x) = a|x - h| + k, the vertex is (h, k). So in this case where f(x) = |x - 5| - 6, a = 1, h = 5 and k = -6. Therefore the vertex of the given graph f(x) is
(5, -6)
--The question is incomplete, answering to the question --
"What is the vertex of the graph of f(x) = |x - 5| - 6?"
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A pop quiz has 2 true/false questions. Paris used a 10-trial coin flip to simulate the results of guessing on the quiz. If t represents answering a question correctly, what is the experimental probability of correctly answering both questions by guessing? frequency of observed desired outcome: number of trials: experimental probability:.
Experimental probability of correctly answering both questions by guessing = 1/4 .
Tail (T) = True
Head (H) = False
Number of possible outcome = 2
Head (H) or Tail (T).
Probability = number of occurrence/number of possible outcome.
Since we can only have one T or F in a toss.
number of occurrence = 1
Probability of answering first question correctly = 1/2
Probability of answering second question correctly = 1/2
Probability of answering both questions correctly = Probability of answering first question correctly * Probability of answering second question correctly
Probability of answering both questions correctly = 1/2 x 1/2
Probability of answering both questions correctly = 1/4
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Answer:3 and 10 and 3/10
Step-by-step explanation:
a basketball player has a 25% accuracy rate at making three-point shots. mark thought it was reasonable that each attempt was independent and the probability stayed at 25% for this player. p (x equals k )equals (1 minus p )to the power of k minus 1 end exponent p using the geometric distribution formula, what is the probability that the basketball player makes his first three-point shot on the third attempt? answer choices are rounded to the hundredths place. a.) 0.56 b.) 0.25 c.) 0.38 d.) 0.14
The answer is c). The probability that the basketball player makes his first three-point shot on the third attempt is 0.38.
The geometric distribution is a probability distribution that describes the number of independent trials required to get a success. In this case, the basketball player has a 25% accuracy rate at making three-point shots, which means that the probability of success (making a three-point shot) is p=0.25 and the probability of failure (missing a three-point shot) is 1-p=0.75. Using the geometric distribution formula, the probability that the basketball player makes his first three-point shot on the third attempt is:
P(x=3) = (1-p)^(3-1) * p = (0.75)^2 * 0.25 = 0.38This means that there is a 38% probability that the basketball player will make his first three-point shot on the third attempt.
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jackson wants to test an assumption on the number of red candies in a bag of fruity tooty's candy. the company claims that five flavors are given an equal distribution in each bag, meaning that the proportion of each color should be 20%. jackson decides to focus his efforts on examining whether there is a difference in the proportion of red candies than what the company claims. what should jackson state for the null hypothesis and alternative hypothesis?
Jackson should correctly phrase both the alternative hypothesis and the null hypothesis as follows:
b. )
p = 0.20 indicates a null result.
A different result: p ≠ 0.20
What exactly is null hypothesis?
A specific type of statistical hypothesis known as a null hypothesis claims that no statistical significance can be established in a given set of facts. One can assess the truthfulness of a hypothesis through the use of sample data in hypothesis testing. It is represented by the letter H0 and is also sometimes referred to as the "null."
The conjecture, also known as the null hypothesis, is a tool used in quantitative analysis to examine the validity of beliefs about markets, economies, and investment strategies.
A null hypothesis is a form of speculation that asserts that specific characteristics of a population or data collection method are not distinct from one another in statistics.
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Why might squaring a number and taking the square root of a number be thought of as opposite operations?
Therefore , squaring a number and taking the square root of a number is an opposite operation as we can see in the following explanation.
How is the square root defined?A number's square root, which is the result of multiplication by itself, yields the original number. Some examples of exponents are squares and square roots. Imagine the number twenty five. Additionally, this can be expressed as expression of 5x5.
Here,
In order to square an integer, you must multiply it by itself.
The opposite of squaring a number is the act of getting the square root.
Calculating the side length of a square whose area is a certain number can be compared to finding the square root of that number.
For example: √25= √5*5 = 5
where as square of 5 : 5*5 = 25
Therefore , squaring a number and taking the square root of a number is an opposite operation as we can see in the following explanation.
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What is the y-intercept of y=5x+3?
Answer:
Y-intercept: 3
Step-by-step explanation:
The equation is y = mx + b
m is the slope
b is the y-intercept
In this case, the y-intercept is 3
HELP!!
An unsharpened pencil is in the shape of a
hexagonal prism with base area of 54 mm²
and length of 20 cm. Find the volume in
cubic millimeters. (1 cm = 10 mm)
10800 mm³ is the volume of the unsharpened pencil.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that the unsharpened pencil is in the shape of a hexagonal prism with base area of 54 mm².
The length of hexagonal prism is 20 cm.
Let us convert cm to mm
1 cm = 10 mm
20 cm =200 mm.
Volume of hexagonal prism V=Ah.
A is the base area and h is the height.
V=54×200
=10800 mm³.
Hence, volume of an unsharpened pencil is in the shape of a hexagonal prism with base area of 54 mm² and length of 20 cm is 10800 mm³.
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What does the notation f/x y mean?
The notation f (x) = y means that the functional value at the point x is y.
In the notation f (x) = y, we understand that the value x is to be plugged in the function given to us (which is f here) which on solving gives y as the answer or solution 'y' of that function at a point x.
For example, let us consider the function f (x) = 2x + 3 = y
Then if we find f (2), then 2 will be plugged in the function 2x +3 such that
f (2) = 2(2) + 3 = 7,
which means that 7 is the functional value, 'y' at the point 2 which is considered as x.
The question is incomplete, the complete question is f (x) = y.
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How do you solve an inequality on a calculator?
press menu and select option,press 2 to select to a polynomial degree of 2,select the number that matches the inequality u are about to solve and lastly input the values of coefficient of x into the expression and press equal to sign on the calculator
How do we solve inequality on a calculator?A relationship between two expressions or values that are not equal to each other is called 'inequality. '
Inequality can be greater than >, less than < , great than or equal to ≥ , less than or equal to ≤.
like other equations, inequality can be solved on a calculator. This process shows how inequality can be solved on a calculator. For example if 3x²+4x+5≥0 is to be solved on a calculator, the following steps are to be taken
Step 1 : press menu and select option B( inequality option)
Step2 : press 2 to select to a polynomial degree of 2
step 3 : select the number that matches the inequality u are about to solve
step 4: input the values of coefficient of x into the expression
step 5 : press the equal to sign on the calculator.
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(17, 17) (0, 13) (19, –11) (14, –17) Is this relation a function?
The relation is not a function because the element 17 is paired with two elements in the range (17 and 0). Therefore, the relation is not a function.
What is relation and function ?A relation is a set of ordered pairs that represents a relationship between two sets of objects. For example, the relation {(1, 2), (3, 4), (5, 6)} represents a relationship between the sets {1, 3, 5} and {2, 4, 6}.A function is a special type of relation in which each element in the domain is paired with exactly one element in the range. A relation is a function if each element in the domain is paired with exactly one element in the range. In this case, the relation is not a function because the element 17 is paired with two elements in the range (17 and 0). Therefore, the relation is not a function.To learn more about function refer :
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witney peter, a professional dart player has a seventy percent chance of hitting the bull's eye on a dartboard with and throw. assume that that the throw of a dart is independent. what is the probability that pete hits five or fewer of his next ten shots?
Without spectacles, Witney Pete has a 5/10 chance of hitting the bullseye. Witney Pete could strike the bullseye with his spectacles 0.7 of the time. This likelihood is far higher than hitting the bullseye without glasses. the probability that Pete hits five or fewer of his next ten shots is approximately 2.487.
What is the probability that Pete hits five or fewer of his next ten shots?Generally, To find the probability that Pete hits five or fewer of his next ten shots, we need to find the probability that he hits exactly 0, 1, 2, 3, 4, or 5 bull's eyes.
The probability that Pete hits exactly k bull's eyes in n throws is given by the binomial distribution:
P(k bull's eyes in n throws) = (n choose k) * p^k * (1-p)^(n-k)
where p is the probability of hitting a bull's eye on a single throw and n choose k is the binomial coefficient, which is equal to n!/(k!(n-k)!).
Substituting the given values, we get:
P(0 bull's eyes in 10 throws) = (10 choose 0) * (0.7)^0 * (0.3)^10 = 0.028 P(1 bull's eyes in 10 throws) = (10 choose 1) * (0.7)^1 * (0.3)^9 = 0.189 P(2 bull's eyes in 10 throws) = (10 choose 2) * (0.7)^2 * (0.3)^8 = 0.462 P(3 bull's eyes in 10 throws) = (10 choose 3) * (0.7)^3 * (0.3)^7 = 0.605 P(4 bull's eyes in 10 throws) = (10 choose 4) * (0.7)^4 * (0.3)^6 = 0.501 P(5 bull's eyes in 10 throws) = (10 choose 5) * (0.7)^5 * (0.3)^5 = 0.302
The probability that Pete hits five or fewer bull's eyes in his next ten shots is the sum of the probabilities of hitting exactly 0, 1, 2, 3, 4, or 5 bull's eyes:
P(hitting 5 or fewer bull's eyes in 10 shots) = 0.028 + 0.189 + 0.462 + 0.605 + 0.501 + 0.302 = 2.487
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Simplify the expression the quantity 9 times x to the fourth power end quantity to the one-half power.
9 times x to the power of nine-halves
3 times x to the power of nine-halves
9x2
3x2
The solution is Option D.
The value of the equation A = ( 9x⁴ )^1/2 is A = 3x²
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = quantity 9 times x to the fourth power end quantity to the one-half power
On simplifying the expression , we get
Quantity 9 times x to the fourth power = 9x⁴
Quantity 9 times x to the fourth power end quantity to the one-half power is written as = ( 9x⁴ )^1/2
On further simplification , we get
A = ( 9x⁴ )^1/2
A = √9x⁴
Taking the square root of the value of A , we get
The value of A = 3x²
Therefore , the value of is 3x²
Hence , The value of the equation is A = 3x²
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What is the quotient of these fractions in lowest terms 3/10 2 4 ___ *?
3/5 is the quotient of these fractions in lowest form when 3/10 divides by 2/4
How to divide fractions?When two fractions are divided, the first fraction is multiplied by the second fraction's reciprocal. Finding the reciprocal of the second fraction and this can be obtained by reversing its numerator and denominator—is and then dividing the fractions. Multiply the two numerators after that. Multiply the two denominators after that, After that we need to simplify the fraction to its lowest form.
so in order to find quotient when 3/10 is divided by 2/4 we get:
quotient = (3/10) / (2/4)
=> (3/10) * (4/2)
=> 12/20
so the quotient of this division is 12/20
now we have to find the lowest form of quotient
so gcd(12,20) = 4
where gcd is greatest common divisor
so lowest form of 12/24 = (12/4) / (20/4)
=> 3 /5
so lowest form of the quotient is 3/5
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can anyone help me?
Answer:
a. 648
Step-by-step explanation:
Deposit= Principal= p
Interest rate = R
Time= T
Simple Interest = P x T X R X 0.01
= 5400 x 6 x 2 x 0.01
=648
3/8 divided by 2/5 in fraction form and simplest form
Answer:
Step-by-step explanation:
for double fractions, invert the bottom one and then multiply them
[tex]\frac{3}{8}[/tex] * [tex]\frac{5}{2}[/tex]
= [tex]\frac{15}{16}[/tex]
= 0.9375
Which has a quotient of 1.66? Use number sense to find the answer. Select all that apply. A. 4.15÷2.5 B. 0.415÷0.25 C. 41.5÷0.25 D. 4.15÷0.25 E. 0 . 415 ÷ 2 . 5
help plssssssssssss
The option that has correct quotient is option A = 4.15 ÷ 2.5 and Option B = 0.415÷0.25
How to find which has a quotient?
Long division or repeated subtraction can be used to accomplish this.Finding the quotient of two integers, fractions, or algebraic words is achievable.Quotient * Dividend = Divisor
A. 4.15 ÷ 2.5
Quotient = 1.66
Divisor = Quotient * 2.5
= 1.66 * 2.5
= 4.15
So, Option A is a correct answer.
B. 0.415÷0.25
Divisor = Quotient * 0.25
= 1.66 * 0.25
= 0.415
So, Option B is a correct answer.
C. 41.5÷0.25
Divisor = Quotient * 0.25
= 1.66 * 0.25
= 0.415 ≠ 41.5
So, Option C is not a correct answer.
D. 4.15÷0.25
Divisor = Quotient * 0.25
= 1.66 * 0.25
= 0.415 ≠ 4.15
So, Option D is not a correct answer.
E. 0.415 ÷ 2
Divisor = Quotient * 0.25
= 1.66 * 2
= 3.32 ≠ 0.415
So, Option E is not a correct answer.
Hence, The option that has correct quotient is option A = 4.15 ÷ 2.5 and Option B = 0.415÷0.25
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I need the slope answers for the sheet and the regular answer
Answer:
(1.5, -3)
Step-by-step explanation:
Both equations are in slope intercept form which means that:
for y = mx + b
m = slope
b = y-intercept
The slope can help us go from the y-intercept to the next point on the graph to make the line
For the equation
y = 2x - 6
the y-intercept is -6, so plot a point there.
The slope is 2 which means you will go up 2 then to the right by 1 to the next point on the graph.
Use the same process to find the line for y = -4x + 3, but you have to keep in mind that when the "m" value is negative, that means the line will point to the left of the graph instead of the right.
Once the lines are draw, the point where they intercept will be the solution.
How do you know if it's greater than or less than on a graph?
To determine whether an inequality represents a relationship of "greater than" or "less than" by looking at a graph, you can look at the direction of the solid line. If the line is pointing upwards towards the right, it represents a "greater than" relationship. If the line is pointing downwards towards the right, it represents a "less than" relationship.
For example, consider the graph of the inequality "y > x + 2." The points on the graph that satisfy this inequality are those that are above the line "y = x + 2." This line represents the values of y that are equal to x + 2. The points above the line are greater than the values on the line, so the inequality "y > x + 2" represents a "greater than" relationship.
On the other hand, consider the graph of the inequality "y < x + 2." The points on the graph that satisfy this inequality are those that are below the line "y = x + 2." This line represents the values of y that are equal to x + 2. The points below the line are less than the values on the line, so the inequality "y < x + 2" represents a "less than" relationship.
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The average test score of RSM students in September increased by 10%. In October it increased by another 15%. By what percent did the average score on the test increase during the two months? PLS PROVIDE SHOW OF STEPS!
The percent that the average score on the test increased during the two months is 12.5%.
By what percent did the average score on the test increase during the two months?It should be noted that mean simply means the average of a set of numbers that are given. In this case, the average test score of RSM students in September increased by 10%. In October it increased by another 15%..
The average of the increase will be:
= (10% + 15%) / 2
= 25% / 2
= 12.5%
The average is 12.5%.
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Is there a series of rigid transformations that could map aqrs to aabc? if so, which transformations could be used?.
Yes, ΔQRS can be translate to so that Q is mapped to point A, then reflect across line containing QS.
we have two triangles ΔQRS and ΔABC in which we have ,
QR=AB = 16 cm
RS=BC= 24 cm
∠R=∠B=90°
By SAS postulate of congruence , ΔQRS ≅ ΔABC.
There are three main rigid transformations which produces congruent images.
1) Translations 2) Rotation 3) Reflection
When we look the given picture, it can be seen that ΔABC is the mirror image of ΔQRS.
But line QS is at some distance from AC , so we first translate ΔQRS to so that Q is mapped to point A, then reflect across line containing QS.
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The diameter of the circle below is 62 cm. Work out the radius of the circle. cm 62 cm
Answer: 31 cm
The radius of a 62 cm circle is 31 cm because the radius of a circle is half of the diameter.
D=diameter
R=radius
D=R2
R=D/2
Answer:
[tex]R = 31[/tex][tex]cm[/tex]
Step-by-step explanation:
[tex]D = 62[/tex]
[tex]R=\frac{D}{2} \\R=\frac{62}{2} \\R=31[/tex][tex]cm\\[/tex]
If - 4 ≤ x ≤2 and 5 ≤ y ≤ 12, what
is the largest possible value of (y - x)?
Answer:
16
Step-by-step explanation:
Since x is negative, lets instead thing of the problem as
y + (-x)
and find the bounds of -x to be
[tex] - 2 < = - x < = 4[/tex]
now, the max value of y is 12 and the max value of -x is 4
12 + 4 = 16
Is the answer to this question A or B? I’m conflicted.
Would appreciate the reply!!
Answer: B
I have to add extra words to answer you but it’s B :))
FILL IN THE BLANK. the area under the normal curve to the right of muμ equals _______.
Answer: One by two
Step-by-step explanation:
Because the mu is half or 0.5, so the word in the blank will be one by two!
Match the histograms on the right to the summary statistics givern 20 Standard Deviation 1.6 9 10 21 Mean Median 56 65 56 56 56 65 56 56 51 5355 57 59 61 (a) IV 20 (b)I (d)II 40 50 60 70 80 90 10 4 16 36 56 76 96 116 20 26 36 46 56 66 76 86
The histograms is shown below.
What is Histogram?One common graphing tool is the histogram. It is employed to present interval-scaled summaries of discrete or continuous data. It is frequently used to conveniently depict the main characteristics of the data distribution.
Given:
The standard deviation for 4 we have the highest value and range for graph C have highest standard deviation.
and, the standard deviation for 1 have lowest deviation and range for graph A have lowest standard deviation.
and, for row 2 the second histogram is the answer and for row 4 the fourth histogram is the answer.
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What is the range of f/x )= sin x the set of all real numbers?
On solving the provided question we can say that - The Range of the given function, f(x) = sin(x) , Range = [tex]-1 < y < 1[/tex]
What is Range?Range: the discrepancy between the top and bottom numbers. To get the range, locate the greatest observed value of the variable and deduct the least observed value (the minimum). The data points between the two extremes of the distribution are not taken into consideration by the range; just these two values are considered. Between the lowest and greatest numbers, there is a range. Values at the extremes make up the range. The data set 4, 6, 10, 15, 18, for instance, has a range of 18-4 = 14, a maximum of 18, a minimum of 4, and a minimum of 4.
The Range of the given function, f(x) = sin(x)
[tex]-1 < y < 1[/tex]
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