The equation of line EF is y = 1 over 2x + 6. Write an equation of a line parallel to line EF in slope-intercept form that contains point (0, −2).
Answer:
y = 1/2x -2
Step-by-step explanation:
You want the equation of a line parallel to y = 1/2x +6 that contains the point (0, -2), written in slope-intercept form.
SlopeThe slope of the line you want will be the same as the slope of the line you have. That is because parallel lines have the same slope.
The equation you are given is written in slope-intercept form:
y = mx + b . . . . . . where m is the slope and b is the y-intercept
Comparing this form to the given equation, you see that ...
m = 1/2 . . . . . the slope of the line you want
InterceptThe "intercept" in the "slope-intercept" form is the value of y when x=0. The point you are given, (0, -2), tells you that y = -2 when x = 0. So, the "intercept" in your slope-intercept equation is -2.
EquationThe equation you want is the equation of a line with slope 1/2 and a y-intercept of -2.
y = 1/2x -2
The equation of the line that is parallel to line EF and passes through point (0, -2) is y = (1/2)x - 2.To find an equation of a line that is parallel to line EF and passes through point (0, -2), we need to use the fact that parallel lines have the same slope. The slope of line EF is 1/2, so the slope of the parallel line will also be 1/2.
We can start by using the point-slope form of the equation of a line: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Plugging in m = 1/2 and (x1, y1) = (0, -2), we get:
y - (-2) = (1/2)(x - 0)
Simplifying this equation gives:
y + 2 = (1/2)x
To get this equation in slope-intercept form (y = mx + b), we can isolate y:
y = (1/2)x - 2
So the equation of the line that is parallel to line EF and passes through point (0, -2) is y = (1/2)x - 2. Note that this line intersects the y-axis at y = -2, which is the y-intercept.
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the answer=ajshabeel
Answer:
It be like that sometimes...
Last week, the price of apples at a grocery store was $1.60 per pound. This week
the apples at the same grocery store are on sale at a 10% discount. What is the total
price of 4 1/2 pounds of apples this week at the grocery store.
Answer:
D
Step-by-step explanation:
Answer:
$6.48.
Step-by-step explanation:
To calculate the total price of 4½ pounds of apples this week at the grocery store, we need to determine the price per pound after the 10% discount and then multiply it by the weight of the apples.
First, let's calculate the discounted price per pound:
Discounted price = Original price - (Original price * Discount percentage)
= $1.60 - ($1.60 * 0.10)
= $1.60 - $0.16
= $1.44
Therefore, the price per pound of apples this week, after the 10% discount, is $1.44.
Now, let's calculate the total price of 4½ pounds of apples:
Total price = Price per pound * Weight of apples
= $1.44/pound * 4.5 pounds
= $6.48
Therefore, the total price of 4½ pounds of apples this week at the grocery store, considering the 10% discount, is $6.48.
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The amount of snowfall in Misty Mountain is displayed on the graph provided. What is the rate of change in the amount of snow that fell in inches per hour? A) 1 B) 2 C) 1/2 D) 3
Explain Example:
The final answer is "2 inches" and the further calculation can be defined as follows:
The change rate is used to express the changes in the value of the percent over a specific period, representing the overall dynamics of a variable.For ROC, it is easy to calculate since it gets the existing stock value and index and separating this by the previous value.The slope is the ratio between horizontal and vertical variations inside a surface or line between two points.The vertical variations between two sites are termed ascents and the horizontal variations are called runs.Given equation:
\(\to \bold{Y = \frac{10}{5}+0}\)
Simplify
\(\to \bold{Y = \frac{2}{1}}\\\\\to \bold{Y = 2}\\\\\)
So, there are 2 inches of snowfall for each one hour.
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Answer:
2inches
Step-by-step explanation:
what numbers are whole number ASAP ANSWERRR.....
-5,-4,-3,-2,-1,0,1,2,3,4,5
Choose which are whole numbers
Answer:
1 2 1 2 3 4 5
Step-by-step explanation:
All whole numbers are not negative, decimals, or fractions.
Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0. Find all such values c and enter them as a comma-separated list. Values of c =: (1 point) Consider the function graphed below. P n ? Does this function satisfy the hypotheses of the Mean Value Theorem on the interval a, b ? Does it satisfy the conclusion?? f(b) f(a)2 At what point c is f'(c) b - a
Verifying that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c = 2 such that f'(c) = 0.
Given:
Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0.
f(x)=x^2−4x+8, [0,4]
when, x = 0
f(x) = x^2 -4x +8
f(0) = y = 0 - 0 + 8 = 8
when, x=4
f(5) = y = 16 - 16+8 =
thus, we have 2 points (0, 8) ; (4, 8)
slope,m = {8-(8)} / {4-0} = 0
hence, we have to calculate all the points,x where 0<x<8 and slope=0
f '(x) = 2x - 4 = 0
or, f '(c) = 2c - 4 = 0
c = 4/2 =2 ( 0<x<4)
hence, the there is only one solution c=2 which satisfies Rolle's theorem.
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An initial population of 910 quail increases at an annual rate of 20%. Write an exponential function to model the quail population.
The exponential function to model the quail population is 910*(1.2)^t
Concept: An exponential function is a mathematical function denoted f(x)=\exp or e^{x}. Unless otherwise stated, the term generally refers to a positive function of a real variable, although it may be extended to complex numbers or generalized to other mathematical objects such as matrices or Lie algebras.
Given data
Initial population= 910 quail
Rate= 20%
Now using the model below:
A= P(1+r)^t
r= 0.2
A= 910(1+0.2)^t
A= 910*(1.2)^t
Hence the expression to model the population is 910*(1.2)^t
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HELP WHICH ARE CORRECT ??
Find the Perimeter of the figure below, composed of a rectangle and a semicircle.
Round to the nearest tenths place.
Answer:
20.3
Step-by-step explanation:
10+4+2π I think!!!
Calculate the value of a, A and C in triangle ABC given that b= 17.23cm, c= 10.86cm and B=101.25°
The value of a, A and C are 12.31 cm,44.07° and 34.68° respectively
What is sine rule?The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.
To find C:
b/sinb = c/sinC
17.23/sin101.25 = 10/sinC
17.23 × sin C = sin101.25 × 10
17.23× sin C = 0.98 ×10
sinC = 9.8/17.23
sinC = 0.569
C = sin^-1(0.569)
C = 34.68°
The sum of angle in a triangle is 180
A = 180-(101.25+34.68)
A= 180-135.93
A = 44.07°
a/sinA = b/sin B
a/sin 44.07 = 17.23/sin101.25
a= sin 17.23 × sin 44.07/sin101.25
a =( 17.24× 0.70)/0.98
a = 12.31 cm
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a type of medicine is given in a 100 miligram dosage. the medicine comes in a 12 gram bottle. how many 100 milligram doses are in a bottle?
The medicine bottle has 120 doses of 100 miligram each.
As per the known fact, 1000 miligram is 1 gram. So, the amount of medicine in the bottle in milligrams = 12×1000
Performing multiplication on Right Hand Side of the equation
Amount of medicine in bottle = 12000 milligrams.
Now, number of dose of 100 miligram medicine = 1
Amount of dose of 12000 miligram medicine = (1/100)×12000
Performing division and multiplication on Right Hand Side of the equation
Amount of doses in 12000 miligram medicine = 120
Thus, there are 120 doses in a medicine.
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simplify the expression.
negative 17 plus the quantity negative 2 and three tenths plus 8 and 12 hundredths end quantity divided by 6 all times 4 squared - 8 and 6 tenths
−17.84
−10.55
−10.08
23.92
(i dunno y it shows me in highschool but eh)
The value of the expression negative 17 plus the quantity negative 2 and three tenths plus 8 and 12 hundredths end quantity divided by 6 all times 4 squared - 8 and 6 tenths is -10.58.
How to calculate the expressionAn expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.
-17 + (-2 + 0.3 + 8 + 0.12)
= -17 - 2 + 0.3 + 8 + 0.12
= -19 + 8.42
= -10.58
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read the picture plsssssssssssss
If the expression be 23 x² + 3x + 8 then the constant exists 8.
What is meant by expression?The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.
A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.
A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.
Let the expression be 23 x² + 3x + 8
then the constant exists 8.
Therefore, the correct answer is option C. 8.
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Jane wants to buy a beauthul dol as a gift for her sister's birthday. She knows that the same product is offered in different shops withprices of 5120.5100 and 580 with odds of IB of each price. She just stopped at a shop and knows that the price is $100. 5 sppose that there is a search cost of $5 for each search. Shoeild she search for ane moee time? Selected Answer: No Answers Yes She should hoss a cont
Based on the given information, Jane should not search for the doll any more. The cost of searching outweighs the potential savings she might gain by finding a lower price.
In this scenario, Jane has already visited one shop and found the doll priced at $100. She knows that the doll is offered at three different prices: $120, $100, and $80, with unknown probabilities (represented as odds). Each additional search incurs a cost of $5.
To determine whether Jane should search for the doll again, we need to compare the expected cost of searching with the potential savings. Given the information provided, we do not have the probabilities associated with each price, so we cannot calculate the exact expected savings. However, we can make an informed decision based on the given information.
Since the current price of the doll is $100 and the potential savings from finding a lower price are uncertain, Jane should consider the cost of searching. With a search cost of $5 per search, it is unlikely that the potential savings from finding a lower price would offset the additional cost incurred by searching. Therefore, it is advisable for Jane not to search for the doll any more, as the cost of searching exceeds the expected savings.
It's important to note that a definitive decision would require more information, such as the probabilities associated with each price. However, based on the given information, the best course of action for Jane is to refrain from further searching.
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need help asap!!!
Match each expression on the left with an equivalent expression on the right. Not all of the options on the right will be used.
Answer:
100x14 = 1,400
14(10) = 140
361 * 1000 = 361,000
100(361) = 36,100
which word has the same meaning as the word velocity
Pace, rate, tempo, momentum, impetus. swiftness, fast pace, swift pace, fastness, quickness, speediness, rapidity, briskness, expeditiousness, expedition, dispatch. acceleration.
11
The general formula for a sequence is f(n) = 3n - 7
One term in the sequence is 8. Which term is this?
The
term is 8.
Wolverine is three years older than Storm Cyclops is two years younger than Storm. The
sum of their age is 106. How old are each of them
Answer:
Storm is 35, Cyclops is 33 and Wolverine is 38.
Step-by-step explanation:
W, S and C represent the agres of Wolverine, Storm and Cyclops.
W = S + 3
C = S - 2
W + S + C = 106
Making the indicated substitutions, we get:
(S + 3) + S + (S - 2) = 106
Combining like terms:
3S + 1 = 106, and 3S = 105. Thus,
S = 35, C = 35 - 2, and W = S + 3.
Storm is 35, Cyclops is 33 and Wolverine is 38.
Simple question free brainly
0 + (1/2)×(2. 219^2)*9. 81
The simplified value of the given expression 0 + (1/2)×(2. 219^2)*9. 81 is 24.143810005.
To simplify the expression, we can use the Order of Operations (PEMDAS): 1. Parentheses 2. Exponents 3. Multiplication 4. Division 5. Addition 6. Subtraction. Hence, to simplify the expression 0 + (1/2)×(2.219^2)*9.81, we need to follow the order of operations (PEMDAS).
1. The parentheses must be solved first: (2.219^2) = 4.924361
2. The exponents are solved next: there are none in this expression
3. The multiplication must be carried out next: 4.924361x9.81 = 48.30405741
4. The division is done next: (1/2)x48.30405741 = 24.143810005
5. The addition and subtraction are carried out last: 0 + 24.143810005 = 24.143810005
Therefore, the simplified expression is 24.143810005.
Note: The question is incomplete. The complete question probably is: Simplify the question 0 + (1/2)×(2. 219^2)*9. 81
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how many pattern block rhombuses would create 3 hexagons
9 block rhombuses would create 3 hexagons.
In order to increase the total number by three, a hexagon can be divided into a minimum of three rhombuses, each of which can be further divided into four rhombuses. With n being a positive integer, the result is 3n. The top two hexagons in this image are each divided into 8 and 10 rhombuses. The total number of rhombuses that can fit in a hexagon is not limited to multiples of three, given that the total number of rhombuses dividing a hexagon can be raised by three by quartering a single component rhombus. The amount might actually be any integer larger than 7.
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Half of the sum of 3x and 4
Answer:
1.5x + 2
Step-by-step explanation:
(3x + 4)/2 = 1.5x + 2
when selecting your schedule in school, you can choose from three math courses, four english courses, two science courses, and two history courses. how many choices do you have for your schedule if you need to select one math, one english, one science, and one history course?
You have 48 different choices for your schedule if you need to select one math, one English, one science, and one history course. It's important to note that this calculation assumes that there are no restrictions or prerequisites for the courses, and that all options are available to all students.
When selecting your schedule in school, you have to choose one math course from the three options, one English course from the four options, one science course from the two options, and one history course from the two options. To find out how many different schedule options you have, you need to multiply the number of options for each subject. So, you have:
3 options for math x 4 options for English x 2 options for science x 2 options for history = 48 possible schedule combinations.
Therefore, you have 48 different choices for your schedule if you need to select one math, one English, one science, and one history course. It's important to note that this calculation assumes that there are no restrictions or prerequisites for the courses, and that all options are available to all students.
To determine the number of possible schedules, you need to multiply the number of choices for each subject together. You have three math courses, four English courses, two science courses, and two history courses. The formula for calculating the total number of choices is:
Total choices = (Math choices) x (English choices) x (Science choices) x (History choices)
Total choices = (3) x (4) x (2) x (2) = 48
So, you have 48 different possible schedules when selecting one math, one English, one science, and one history course.
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The mean of 5 numbers is 78. If 3 if the numbers are 72,86 and 82 and the other 2 numbers are equal. Find the total of the 5 numbers.
Answer:
sorry I can't understand the answer sorry
Fathi has
$
1.10
$1.10dollar sign, 1, point, 10 in his printing account. Each sheet of paper he uses reduces his printing account balance by
$
0.25
$0.25dollar sign, 0, point, 25. Fathi wants to print out a PDF document that is
47
4747 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each side of the sheet.
After Fathi prints, what will be the balance in his printing account?
Answer:
he can buy 4 sheets of paper to print 16 pages
he will have 0.10 cents left
Step-by-step explanation:
With each piece of paper, he can print 4 pages
He has a full dollar
1/0.25 = 4
he can print 4 pages because the last 10 cents will not be enough to print another page
4 * 4 = 16
He will not be able to print all the pages
A net with 5 faces. 3 rectangles are stacked. The top and bottom rectangles are shaded blue. The middle rectangle is white. An orange rectangle is connected to the left of the top blue rectangle, and another is connected to the right of the bottom blue rectangle.
Juan is drawing the two-dimensional net of a rectangular solid, but he made a mistake. What error did Juan make, and how can he correct it?
The orange faces should both be attached to the same blue face.
The prism is missing a sixth face, which should be colored orange.
The prism is missing a sixth face, which should be colored blue.
The prism is missing a sixth face, which should be colored white.
Answer:
D. The prism is missing a sixth face, which should be colored white.
The prism is missing a sixth face, which should be colored white.
We have given that,
A net with 5 faces. 3 rectangles are stacked. The top and bottom rectangles are shaded blue.
The middle rectangle is white. An orange rectangle is connected to the left of the top blue rectangle, and another is connected to the right of the bottom blue rectangle.
Juan is drawing the two-dimensional net of a rectangular solid, but he made a mistake.
We have to determine what error did Juan make, and how can he correct it.
What is the rectangle?A plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.
Therefore we get,
The prism is missing a sixth face, which should be colored white.
The correct statement is The prism is missing a sixth face, which should be colored white.
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The United States Postal Service reports 95% of first-class mail within the same city is delivered within two days of the time of mailing. Six letters are randomly sent to different locations. 1. What is the probability that all six arrive within two days? 2. What is the probability that exactly five arrive within two days? 3. Find the mean number of letters that will arrive within two days. 4. Compute the variance and standard deviation of the number that will arrive within two days.
Answer:
Step-by-step explanation:
This is a binomial probability distribution because the outcome is either a randomly selected first-class mail within the same city is delivered within two days of the time of mailing or more days. The probability of success, p is that it is delivered within 2 days. Therefore,
p = 95/100 = 0.95
q(probability of success) = 1 - p = 1 - 0.95 = 0.05
n = number of samples = 6
1)The probability that all six arrive within two days, P(x = 6) would be determined from the binomial probability distribution calculator. Therefore,
P(x = 6) = 0.74
2) P(x = 5) = 0.23
3) mean = np = 6 × 0.95 = 5.7
4) Variance = npq = 6 × 0.95 × 0.05 = 0.285
Standard deviation = √0.285 = 0.53
Jayden said the answer is (5x + 2)(x-6). Chelsea said the answer is (5x - 2)(x + 6). Who is correct? Explain your reasoning. ( points)
Answer:
what is the question?
Answer to what?
Four people share 2/7 pound of peanuts equally. What fraction of a pound of peanuts does each person receive? Enter your answer in simplest form.
Slime was a toy product manufactured by Mattel, sold in a plastic trash can and introduced in February 1976. It consisted of a non-toxic viscous, squishy and oozy green or other color material made primarily from guar gum.
a variable is normally distributed with a mean of 16 and a standard deviation of 6. find the percent of thedata set that:
The percentage of the data set within the range of 10 to 22 is 68.26%.
To find the percentage of the data set for a normally distributed variable with a mean of 16 and a standard deviation of 6, we can use the concept of z-scores and the standard normal distribution.
First, we need to convert the values to z-scores, which measure the number of standard deviations a particular value is from the mean. The formula for calculating the z-score is:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation.
In this case, we want to find the percentage of the data set within a certain range. Let's say we want to find the percentage of the data set between 10 and 22. We can calculate the z-scores for these values:
\(z1 = (10 - 16) / 6 = -1.0\)
\(z2 = (22 - 16) / 6 = 1.0\)
Next, we can use a standard normal distribution table or a calculator to find the area under the curve between these z-scores. The area between -1.0 and 1.0 represents the percentage of the data set within the range of 10 to 22.
Looking up the z-scores in the standard normal distribution table, we find that the area between -1.0 and 1.0 is approximately 0.6826. This means that approximately 68.26% of the data set falls within the range of 10 to 22.
Therefore, the percentage of the data set within the range of 10 to 22 is 68.26%.
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Use the remainder theorem to find P (3) for P(x) = -x+3x² - 2x-5.Specifically, give the quotient and the remainder for the associated division and the value of P(3).믐Quotient =Х5 ?Remainder = 0p(3) = 0
We are given the function
\(P(x)=-x^3+3x^2-2x-5\)we are to use remainders theorem to find p(3)
Therefore
Given p(3) then x = 3
Hence
\(\begin{gathered} P(3)=-3^3+3(3)^2_{}-2(3)-5 \\ P(3)=-27+27-6-5 \\ P(3)\text{ = -11} \end{gathered}\)Hence, p(3) = - 11
Therefore, the Remainder is - 11
Finding the quotient
Given
\(\begin{gathered} p(x)\text{ = 3 }\Rightarrow\text{ x = 3} \\ \text{therefore} \\ x\text{ -3 is a factor} \end{gathered}\)Therefore to find the quotient we will use long division method
\(x-3\sqrt[]{-x^3+3x^{^2}-2x-5}\)This gives
\(\begin{gathered} \text{ -x}^2\text{ -2} \\ x-3\sqrt[]{-x^3+3x^2-2x-5} \\ \text{ (-) -}x^3+3x^2 \\ ----------------------- \\ \text{ -2x - 5 } \\ \text{ ( - ) -2x}^{}\text{ + 6} \\ -------------------- \\ \text{ - 11} \end{gathered}\)Therefore, The quotient is
\(-x^2-2\)From the solution above
P(3) = - 11