Where the above data and or function are given, note that the missing value in the table is 7.768
How was the above value derived?The table is reconstructed as follows:
x y
4 6.4
4.3 6.88
4.8 ?
5.2 8.32
Thus, merely taking a look at the values of x, a pattern is established.
We can see that x is increasing by 0.5.
To derive the missing value of y given x, we have to
1) compute the difference int he values of y for each respective x
we can say
y(5.2) - y(4.3) = 8.32 - 6.88 = 1.44
To find the value of y for x = 4.8:
y(4.8) = y(4.3) + (0.5/0.9) * (y(5.2) - y(4.3))
⇒ y(4.8) = 6.88 + (0.5/0.9) * 1.44
y (4.8) = 7.68
Hence, the missing value is 7.68.
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please help me in this question
When shape P is enlarged by the scale factor and the centre, the new coordinates would be (2, 6), (6, 6), (0, 8), and (4, 8).
How to enlarge the shape ?The current coordinates are:
( 1 , 3 ) ( 3, 3 ) ( 0, 4 ) and ( 2, 4 )
The new coordinates, with an expansion of 2 would be:
Point 1:
New coordinates: (1 x 2, 3 x 2) = (2, 6)
Point 2:
New coordinates: (3 x 2, 3 x 2) = ( 6, 6 )
Point 3:
New coordinates: ( 0 x 2, 4 x 2) = ( 0, 8 )
Point 4:
New coordinates: (2 x 2, 4 x 2) = ( 4, 8 )
The enlarged figure would have coordinates at (2, 6), (6, 6), (0, 8), and (4, 8).
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solve please, see the photo
The area of the new shape formed by the two rectangles is calculated to be equal to 71 square centimeters.
How to calculate for the area of the new shapeThe new shape will have a square region of 3 cm by 3 cm covered from one of the rectangles which will be under, so the area of the new shape is calculated as follows:
area of one identical rectangle = 8 cm × 5 cm
area of one identical rectangle = 40 cm²
area of the square region under = 3 cm × 3 cm
area of the square region under = 9 cm²
Area of the new shape = 40 cm² + (40 cm² - 9 cm²)
Area of the new shape = 40 cm² + 31 cm²
Area of the new shape = 71 cm²
Therefore, the area of the new shape formed by the two rectangles is calculated to be equal to 71 square centimeters.
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NO LINKS!!! URGENT HELP PLEASE!!!
Find a formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular bisector "l" of segment AB
A(-3, 3), B(7, -7)
Answer:
The midpoint of segment AB is: M = ((-3 + 7)/2, (3 + (-7))/2) = (2, -2)
The slope of segment AB is: m = (y2 - y1)/(x2 - x1) = (-7 - 3)/(7 - (-3)) = -1
The slope of a line perpendicular to AB is the negative reciprocal of m: m_perp = -1/m = 1
The equation of the line passing through M with slope m_perp is: y - (-2) = 1(x - 2)
Simplifying, we get: y = x - 4
Therefore, an arbitrary point P(x, y) is on the perpendicular bisector of segment AB if and only if its coordinates satisfy the equation: y = x - 4
Answer:
y = x - 4
Step-by-step explanation:
To find the perpendicular bisector of the line segment AB, we first need to find the midpoint of AB. The midpoint M can be found using the midpoint formula:
M = ((x1 + x2)/2, (y1 + y2)/2)
where (x1, y1) = A and (x2, y2) = B
M = ((-3 + 7)/2, (3 - 7)/2) = (2, -2)
The slope of AB can be found using the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (-7 - 3)/(7 - (-3)) = -10/10 = -1
The slope of the perpendicular bisector of AB is the negative reciprocal of the slope of AB. So, the slope of the perpendicular bisector is:
m_perp = 1/m = -1/-1 = 1
Now we have the midpoint M and the slope of the perpendicular bisector. We can use the point-slope form of a line to find the equation of the perpendicular bisector.
y - y1 = m(x - x1)
where m = 1 and (x1, y1) = (2, -2)
y + 2 = 1(x - 2)
y = x - 4
Therefore, the formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular bisector of segment AB with endpoints A(-3, 3) and B(7, -7) is:
y = x - 4
sylvia watched a movie that was 1 whole 3/4hours long then the baseball game than the movie math work
Answer:
take a photo of the question so I can answer it please
15 5/8 minus 15 4/5 I need to know soon pleaseeeeeee
Answer:
15 5/8 - 15 4/5
= 15 25/40 - 15 32/40 (15-15 = 0)
= 25/40 - 32/40
= -7/40
Brainliest, please:)
a painter can paint a house in 6 days how many houses can a painter finish painting in 222 days?
paint 1 house in = 6 days
paint ? house in = 222 days
= 222 ÷ 6 = 37 houses
Answer: A painter can paint 37 houses in 222 days
Which point on the number line has a value that is the opposite of 15?
The point on the number line that has a value that is the opposite of 15 must be -15
Calculating the point on the number lineFrom the question, we have the following parameters that can be used in our computation:
Point = 15
The opposite of 15 is
Opposite = -15
This means that the point must have a value of -15
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HELP ASAP PLEASE! Mrs. Smith has 6 activity tables she wants to place side by side in her classroom.
(a) In how many ways can she arrange all 6 tables? Show your work.
(b) If she only wants to have 4 of the tables set up, in how many ways can she choose the tables she wishes to have set up? Show your work.
a) There are 720 different ways to arrange all six tables in a row. b) There are also 15 other methods to select four of the six tables.
A combination is a technique for calculating the number of alternative arrangements in a set of objects where the order of the selection is irrelevant.
Given this,
Mrs. Smith wants to arrange six activity tables side by side in her classroom.
After aligning all six tables in a straight line, we can use the factorial function to compute the product of all positive integers up to a specified value. We could write:
6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
As a result, there are 720 different ways to arrange all six tables in a row.
And, to select four of the six tables, we can use the combination function, which computes the number of ways to select k things from n different items, regardless of their order. We could write:
⁶C₄ = 6! / (4! x 2!)
= (6 x 5 x 4 x 3 × 2 × 1) / [(4 x 3 x 2 x 1) × (2 × 1)]
= (6 x 5 x 4 x 3) / (4 x 3 x 2 x 1)
= 15
As a result, there are 15 different methods to select four of the six tables.
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Triangle ABC is dilated to produce triangle A′B′C′.
Graph of a triangle ABC with vertices at A 9 comma 3, B 18 comma 3, and C 18 comma 9. Triangle A prime B prime C prime with vertices at A prime 3 comma 1, B prime 6 comma 1, and C prime 6 comma 3.
Determine the scale factor used to create the image.
one third
3
one fourth
4
Answer:
To determine the scale factor used to create the image, we need to compare the corresponding side lengths of the original triangle ABC and the dilated triangle A'B'C'.
Let's take the side AB of triangle ABC and its corresponding side A'B' of triangle A'B'C'. The length of AB is 18-9=9 units, while the length of A'B' is 6-3=3 units. Therefore, the scale factor for the dilation from triangle ABC to triangle A'B'C' is:
scale factor = length of A'B' / length of AB = 3/9 = 1/3
So the answer is: the scale factor used to create the image is one third.
Step-by-step explanation:
The scale factor used to create the image triangle A'B'C' is 1/4.
To determine the scale factor used to create the image, we can compare the corresponding side lengths of the original triangle ABC and the resulting triangle A'B'C'.
Let's calculate the length of a side of triangle ABC and the corresponding side of triangle A'B'C':
Length of side AB in triangle ABC:
AB = √(12 - 4)² + (4 - 4)²
= 8
Length of side A'B' in triangle A'B'C':
A'B' = √(3 - 1)² + (1 - 1)²
=2
To find the scale factor, we can divide the length of the corresponding side in the image triangle (A'B'C') by the length of the corresponding side in the original triangle (ABC):
Scale factor = A'B' / AB
= 2 / 8
= 1/4
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Round to the nearest dollar (but give me the answer before you round also please)
The total selling price, as per the percent rule, is $9,000.
You must first determine the selling price of each toy in order to determine the overall selling price.
As per the percent rule, the cost price plus the markup equals the selling price.
The cost price of each toy is $24, so the markup is 25% of $24, which is $6.
Therefore, the selling price of each toy is $24 + $6 = $30.
To find the total selling price, you need to multiply the selling price of each toy by the number of toys sold.
The store bought 300 toys, so the total selling price is 300 x $30 = $9,000.
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If U={a,c,e,s,i,k}, then which of the following are proper subsets of U?
Option 1, 3 and 6 are the proper subsets of the set U = {a, c, e, g, i, k}.
The subsets of U that do not include all of its components are the correct subsets of U. Given that it doesn't include any items of U, Option 1, A = empty set, is a valid subset of U. In the case of option 2, B = "a, c, e, g, i, k" is the set U itself and is not a legitimate subset of U because it contains all of U's components.
Now, option 4, D = {b, d, f, h}, is not a subset of U as it contains elements that are not in U. Option 5 is not correct as it includes both A and B, which is not a proper subset of U. In option 6, both 1 and 3 are given, hence, it is correct.
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Complete question - If U = {a, c, e, g, i, k} then which of the following are proper subsets of U?
Choose one 4 points
1. A = emptyset
2. B = {a, c, e, g, i, k}
3. C = {a, c, e, g}
4. D = {b, d, f, h}
5. Set A, set B and set C
6. Set A, and set C
What is the slope of the equation y=5/4x-7/4
Answer:
Step-by-step explanation:
m=5/4
How would you say the following time?0.8 seconds
A.Zero point eight seconds
B.Eight seconds
C.Zero eight seconds
D.Eight point zero seconds
The decimal time 0.8 seconds can be said as: A. Zero point eight seconds
How to Interpret Decimal Numbers?In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number.
A decimal number is normally read by saying the whole part of it as a whole number and by individually reading out every number after the decimal point. For example, 28.79 would be read as twenty-eight point seventy nine.
Thus, the decimal 0.8 seconds can be pronounced as:
Zero point eight seconds
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Data Set 1 has a mean of 54 and a MAD of 4. Data Set 2 has a mean of 60 and a MAD of 2.
What can be concluded about the two distributions?
Select each correct answer.
A} The distributions are similar.
B} The distributions are somewhat similar.
C} The means-to-MAD ratio is 3.
D} The means-to-MAD ratio is 1.5.
The correct option about the two data set's distribution is B) The distributions are somewhat similar.
Given that,
For data set 1,
Mean = 54 and MAD = 4
For data set 2,
Mean = 60 and MAD = 2
Means to MAD ratio = (60 - 54) / (2 - 4) = 6 / -2 = -3
So means to MAD ratio is -3, not 3.
Now, it is clear that the distributions are not fully similar.
But it appears to be somewhat similar since Mean absolute deviation is somewhat similar, which is close.
Hence the correct option is B.
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When m = 2 and p = 1/4,j=32. Ifj varies directly with m and inversely with p, what is the constant of variation?
-4
-16
-64
-256
Answer:
Step-by-step explanation:
yees
A x+40
B 80
C x+50
D x+5
E 125
Sum of interior angles=
x=
A=
C=
D=
The sum of the measures of the interior angles of the pentagon is given as follows:
540º.
Hence the angle measures are given as follows:
<A = 120º.<C = 130º.<D = 85º.How to obtain the angle measures?The sum of the interior angle measures of a polygon with n sides is given by the equation presented as follows:
S(n) = 180 x (n - 2).
A pentagon has five sides, that is, n = 5, hence the sum is given as follows:
S(5) = 180 x (5 - 2)
S(5) = 540º.
Then the value of x is obtained as follows:
x + 40 + 80 + x + 50 + x + 5 + 125 = 540
3x + 300 = 540
3x = 240
x = 80º.
Then the angle measures are given as follows:
<A = 80 + 40 = 120º.<C = 80 + 50 = 130º.<D = 80 + 5 = 85º.More can be learned about the sum of the interior angle measures of a polygon brainly.com/question/224658
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Bonita has 15% more stamps than Jessica. If Bonita has 150 more stamps than Jessica, how many stamps do they have altogether?
The number of stamps that Jessica and Bonita have altogether if the percent increase in stamps with Bonita is 15% more is 2150.
Given that,
Bonita has 15 percent more stamps than Jessica.
Let x be the number of stamps that Jessica has.
Then,
Number of stamps that Bonita has = x + 150
x + 150 = x + 15% of x
x + 150 = x + (0.15)x
x + 150 = 1.15x
0.15x = 150
x = 1000
Hence the number of stamps that Jessica has = 1000
Number of stamps that Bonita has = 1150
Total number of stamps = 1000 + 1150 = 2150
Hence the total number of stamps is 2150.
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-2, -4, -12, -48, -240, ...
-2 to -4 = multiply by 2
-4 to -12 = multiply by 3
-12 to -48 = multiply by 4
-48 to -240 = multiply by 5
Our next three terms will require us to multiply by 6, then 7, then 8.
-240 x 6 = -1440
-1440 x 7 = -10080
-10080 x 8 = -80640
Answer: C
Hope this helps!
Answer:
C
Step-by-step explanation:
multiply by 2 then by 3 then by 4 then by 5
then by 6 then by 7 then by 8
SOMEONE HELP!!!!!! 20 POINTS
What is the standard form of the equation of a quadratic function with roots of 3 and −1 that passes through (1, −10)?
y = 2.5x2 − 5x + 7.5
y = 2.5x2 − 5x − 7.5
y = −2.5x2 − 5x + 7.5
y = −2.5x2 − 5x − 7.5
Step-by-step explanation:
y = a(x-3)(x+1) sub in the given point to calculate 'a'
-10 = a( 1-3)(1+1)
-10 = -4a
a = 2.5
then y = 2.5 ( x-3)(x+1) = 2.5 x^2 -5x -7.5
simplify this expression to have no negative exponents. -2^3a^4b^-5/ 24a^7b^3 *b^10/a^-2b^-4
The expression -2³a⁴b⁻⁵/ 24a⁷b³ × b¹⁰/a⁻²b⁻⁴ with no negative exponents is -a⁵b⁶/3
The given expression is -2³a⁴b⁻⁵/ 24a⁷b³ × b¹⁰/a⁻²b⁻⁴
a and b are the variable in the expression
We have to find the expression without negative exponents
[tex]\frac{a^m}{a^n}=a^m^-^n[/tex]
-8a⁴b⁻⁵/ 24a⁷b³ × b¹⁰/a⁻²b⁻⁴
-a³/3b⁸ × a²b¹⁴
-a⁵b⁶/3
Hence, the expression with no negative exponents is -a⁵b⁶/3
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Match the base to the corresponding height. Base (b) Height (h)
Answer:
1:2
2:1
3:3
Explanation:
1 on the left is with 2 on the right (1:2) because base and height are inversed, so the same explanation is for 2:1.
3:3 because the hypotenuse (the base) is calculated with the height of the right angles.
Hope I helped and that I get brainliest ;)
Question 2
What is the lateral surface area of the triangular prism with the given net?
Select one:
15
9
5
12
9
9
8
8
B
8
10
Answer:
the answer is B) 24.
Step-by-step explanation:
To find the lateral surface area of the triangular prism, we need to find the perimeter of the base and then multiply it by the height of the prism.
Looking at the net, we can see that the base is a triangle with sides of length 3 cm, 4 cm, and 5 cm. So the perimeter of the base is:
3 cm + 4 cm + 5 cm = 12 cm
The height of the prism is given as 2 cm. Therefore, the lateral surface area is:
12 cm x 2 cm = 24 cm²
So the answer is B) 24.
IF THIS HELPED, CAN YOU PLEASE GIVE 5⭐? thank you
Use the quadratic formula to find all degree solutions and if
0° ≤ x < 360°.
Use a calculator to approximate all answers to the nearest tenth of a degree. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
cos^2 (x) + cos (x) − 1 = 0
(a) all degree solutions (Let k be any integer.)
The degree solutions of the equation are 51.82 degrees and 128.17 degrees
Finding all degree solutions of the equationFrom the question, we have the following parameters that can be used in our computation:
cos² (x) + cos (x) − 1 = 0
Let y = cos(x)
So, we have
y² + y - 1 = 0
When solved graphically, we have
y = ±0.618
This means that
cos(x) = ±0.618
Take the arccos of both sides
x = cos-1(±0.618)
Evaluate
x = 51.82 degrees and 128.17 degrees
Hence, the angles are 51.82 degrees and 128.17 degrees
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Find the equation of a line that passes through the point (1,2) and has a gradient of -3. Leave your answer in the form y = mx + C
Answer: y = -3x + 5
Step-by-step explanation:
We are given that the line passes through the point (1,2) and has a slope of -3. To find the y-intercept, we can use the point-slope form of a line:
y - y1 = m(x - x1)
where (x1, y1) is the point the line passes through.
Substituting the values we have:
y - 2 = -3(x - 1)
Expanding the brackets and rearranging:
y - 2 = -3x + 3
y = -3x + 5
Therefore, the equation of the line is y = -3x + 5, in slope-intercept form.
Solve the equation below
Property of logarithms: The property of logarithms that we used in this problem states that if loga(b) ≥ loga(c), then b ≥ c. This property is true for any base of the logarithm. Note that the inequality symbol flips when you move from the logarithmic expression to the exponential expression.
Solving linear inequalities: To solve a linear inequality like ax + b > c, you need to isolate the variable on one side of the inequality. This involves adding or subtracting terms and possibly multiplying or dividing by constants. You need to be careful when multiplying or dividing by a negative number, as this flips the inequality symbol.
Domain restrictions: When solving logarithmic inequalities, you need to make sure that the argument of the logarithm is positive. This means that the expression inside the logarithm cannot be zero or negative. You need to check for domain restrictions and make sure that any values that make the argument zero or negative are not included in the solution.
Check the solution: After solving the inequality, it's always a good idea to check the solution to make sure that it satisfies the original inequality. You can plug in the solution to the inequality and make sure that both sides of the inequality are still true. If not, you may have made a mistake in solving the inequality.
To solve log2(7x-3) ≥ log2(x+12), you can start by using the fact that if loga(b) ≥ loga(c), then b ≥ c:
Using this property, you can rewrite the inequality as:
7x - 3 ≥ x + 12
Simplifying the inequality by subtracting x and adding 3 from both sides, you get:
6x ≥ 15
Dividing both sides of the inequality by 6, you get:
x ≥ 2.5
Therefore, the solution to the inequality is x ≥ 2.5 which is option C.
Note that when you use the property of logarithms to simplify an inequality, you need to make sure that the argument of the logarithm is positive. In this case, both arguments are positive as long as x > 3/7 and x > -12, respectively. However, these conditions are automatically satisfied when x ≥ 2.5, so there is no need to check them separately.
Using the graphing function on your calculator, find the solution to the system
of equations shown below.
3y-3x = -9
4y-4x=-12
A. More than 1 solution
B. No solution
C. x = 3, y = -3
D. x = 4, y = -4
The solution to the system of equations shown above is: A. More than 1 solution.
How to graphically solve this system of equations?In order to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;
3y - 3x = -9 ......equation 1.
4y - 4x=-12 ......equation 2.
Based on the graph shown in the image attached above, we can logically deduce that the solution to this system of equations is the point of intersection of the lines on the graph representing each of them, which is given by multiple ordered pairs and as such, it has more than one solution or infinitely many solutions because the lines coincide.
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Help please, I don’t know what to do
The vector that satisfies the equation v = 2u - 3w, where u = (5, -4) and w = (4, -2), is v = (-2, -2).
What is vector?A vector is a mathematical quantity that represents a magnitude (length) and direction in space, usually represented as an ordered set of numbers or coordinates, used to describe physical quantities and geometric objects.
What is equation?An equation is a mathematical statement that indicates the equality of two expressions or quantities, often containing variables, used to describe relationships and solve problems in various fields of mathematics and science.
According to the given information:
To find the vector that satisfies the given equation:
v = 2u - 3w
we need to first calculate the vectors u and w using the given points:
u = (5 - 0, 1 - 5) = (5, -4)
w = (4 - 0, 3 - 5) = (4, -2)
Substituting these values into the equation:
v = 2u - 3w
v = 2(5, -4) - 3(4, -2)
v = (10, -8) - (12, -6)
v = (-2, -2)
Therefore, the vector that satisfies the given equation is (-2, -2).
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56 to 35 in ratio and simplest form
Answer:
The ratio 56 to 35 = 8 to 5 = 8/5
4. The table shows when the tickets for a concert are sold and the types of tickets that are sold.
What is the probability that a randomly selected person attending the concert is an adult or has
purchased the ticket in advance?
SOLUTION broken down in steps:
Step 1: Find the probability that a person attending the concert is an adult:
Step 2: Find the probability that a person purchased the ticket in advance:
Step 3: Find the probability that a selected person attending the concert is an adult AND has purchased
the ticket in advance.
Answer: Probability that a person attending the concert is an adult + probability that a person purchased
the ticket in advance - the probability that a selected person attending the concert is an adult AND has
purchased the ticket in advance. (Step 1 +Step 2-Step 3)
The probability that the randomly selected person attending the concert is an adult or has purchased the ticket in advance is 188/250.
We have,
Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given a table which shows when the tickets for a concert are sold and the types of tickets that are sold.
The probability of A or B can be calculated as,
P(A or B) = P(A) + P(B) - P(A and B)
Let A denote the people is an adult.
Let B denote the people who has purchased the ticket in advance.
P(A) = 148/250
P(B) = 140/250
P(A and B) = 100/250
Probability that a randomly selected person attending the concert is an adult or has purchased the ticket in advance is,
P(A or B) = 148/250 + 140/250 - 100/250
= 288/250 - 100/250
= 188/250
Hence the required probability is 188/250.
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Find the volume of the oblique rectangular prism below. Round your
answer to the nearest tenth if necessary.
1
9
The volume of the oblique rectangular prism is 629.1 unit² .
The length of the oblique rectangular prism = 6 unit
The width of the oblique rectangular prism = 9 unit
Using trigonometry the height will be
tan θ = perpendicular / base
Perpendicular = h
Base = 9
h/9 = tan (59)
h = 1.66 (9)
h = 11.6 unit
The height of the oblique rectangular prism = 11.6 unit
The volume of the oblique rectangular prism = l × b ×h
The volume of the oblique rectangular prism = 6 × 9 ×11.6
The volume of the oblique rectangular prism = 629.1 unit²
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