Answer:
Step-by-step explanation:
HELP ASAP!!!!!!!!!!!!!
Answer:
A. \(\bold{a_n=-3\cdot\left(\frac18\right)^{n-1}}\)Step-by-step explanation:
\(\begin{cases}a_1=-3\\a_n=a_{n-1}\cdot\dfrac18\end{cases}\\\\\\a_2=a_{2-1}\cdot\frac18=a_1\cdot\frac18\\\\r=\dfrac{a_2}{a_1}=\dfrac{a_1\cdot\frac18}{a_1}=\dfrac18\\\\\\a_n=a_1\cdot r^{n-1}\\\\a_n=-3\cdot\left(\frac18\right)^{n-1}\)
which are linear pairs?anglebac and anglecaeanglecae and anglebafanglecae and anglefaeanglecaf and anglebaeanglefad and angleead
The linear pairs among the given angles are:
A. Angle BAC and Angle CAE
C. Angle CAE and Angle FAE
D. Angle CAF and Angle BAE
Linear pairs are pairs of adjacent angles formed when two lines intersect. In a linear pair, the angles are supplementary, meaning their measures add up to 180 degrees. In option A, Angle BAC and Angle CAE form a linear pair because their measures add up to 180 degrees. Similarly, in option C, Angle CAE and Angle FAE form a linear pair. Option D includes Angle CAF and Angle BAE as a linear pair.
Therefore, the correct answers are options A, C, and D.
You can learn more about linear pairs at
https://brainly.com/question/18047626
#SPJ11
A linear pair is a pair of adjacent angles whose non-common sides are opposite rays, or in other words, the two angles add up to 180 degrees. Without a diagram, it's hard to definitively identify which angle pairs from the question are linear pairs, but any pairs where the sides form a straight line could be linear pairs.
Explanation:In geometry, a linear pair is a pair of adjacent angles whose non-common sides are opposite rays. This means that the two angles add up to 180 degrees. Hence, without a diagram or more context, it's hard to definitively say which angle pairs are linear pairs. However, if we operate under the assumption that the angle pairs mentioned in the question are adjacent (such as Angle CAE and Angle EAF), and their non-common sides form a straight line (or ray), then we could say that those pairs are linear pairs.
Learn more about Linear Pairs here:https://brainly.com/question/34190098
#SPJ12
which rational number does not have a reciprocal
Answer:
the rational numbers that doesn’t have a reciprocal are [math]0 [/math] (which can also be expressed as [math]\frac {0} {x}, x \neq 0 [/math] ), and any number of the form [math]\frac {x} {0} [/math].
Step-by-step explanation:
The table shows the number of points scored by a basketball team in their first seven games.
Answer:
15
Step-by-step explanation:
the range is the largest number take away the smallest number
56-41=15
Please help, worth many points
A tapered wood cylinder is made by decreasing the radius of a wood rod continuously as you move from one end to the other. The speed at which it tapers is the taper per foot. You can calculate the taper per foot using the formula shown below. R is the radius at the large end, r is the radius at the small end, and L is the length of the wood rod all measured in inches. Find the length of the wood rod if R = 4in, r = 3in, and T = 0.75.
Karen bought 11/12 pound of fruit salad. How many 1/3 pound servings of fruit salad are in 11/12 pound?
I need your help on this.
Answer:
46 inches
Step-by-step explanation:
Answer:
The answer is 46 inches.
Step-by-step explanation:
138 / 3 = 46.
OperumONS UNTUI a) Find the greatest number that divides 36, 45 and 63 without leaving a remainder. b) c) Find the greatest number by which 90, 120 and 150 are exactly divisible. Three drums contain 501, 60 l and 70 l of oil. Find the greatest capacity of a bucket which can empty out each drum with the exact number of fillings. Three bags contain 80 kg of wheat flour, 120 kg of corn flour and 160 kg of rice. What is the greatest number of people to whom these items can be distributed equally? What is the share of each item among them? d) e) Find the greatest number of children to whom 48 oranges, 80 bananas and 144 apples can be divided equally. Also find the shares of each fruit among them. 22 There are 120 mangoes in a basket and 168 mangoes in another basket. Find the greatest number of mangoes which are to be taken out at a time from each basket so that both of them will be emptied simultaneously. A rectangular floor is 12 m long and 10 m broad. If it is to be paved with squared marbles of the same size, find the greatest length of each squared marble.
Answer:
a) The greatest number that divides 36, 45, and 63 without leaving a remainder is 9
b) The greatest number which exactly divides 90, 120, and 150 is 30
c) The greatest capacity of the bucket is 10 liters
d) The greatest number of people to whom the items can be distributed equally is 40 people
ii) 2 kg of wheat flour, 3 kg of corn and 4 kg of rice
e) The greatest number of children to whom the 48 orange, 80 bananas, and 144 apples can be distributed equally is 16
ii) 3 oranges, 5 bananas and 9 apples each
f) 5 mangoes at a time from the basket containing 120 mangoes
7 mangoes at a time from the basket containing 168 mangoes
g) The greatest length of each squared marble is 2 m
Step-by-step explanation:
a) The greatest number that divides 36, 45, and 63 without leaving a remainder = The highest common factor of 36, 45, and 63, which is given as follows;
36 = 9 × 4
45 = 9 × 5
63 = 9 × 7
Therefore, The greatest number that divides 36, 45, and 63 without leaving a remainder = The highest common factor of 36, 45, and 63 = 9
b) 90 = 30 × 3
120 = 30 × 4
150 = 30 × 5
The greatest number which exactly divides 90, 120, and 150 is 30
c) The factors of the volumes are;
50 l = 10 × 5 l
60 l = 10 × 6 l
70 l = 10 × 7 l
Therefore, the greatest capacity of the bucket = 10 liters
d) The masses of the items are
The factors of 80 = 40 × 2
120 = 40 × 3
160 = 40 × 4
Therefore the items can be distributed equally to 40 people
ii) Each person gets 2 kg of wheat flour, 3 kg of corn and 4 kg of rice
e) 48 = 16 × 3
80 = 16 × 5
144 = 16 × 9
Therefore, the greatest number of children = 16
ii) Each child gets 3 oranges, 5 bananas and 9 apples
f) The factors of 120 = 24 × 5
168 = 24 × 7
Therefore;
The greatest number of mangoes which is to be taken out of the basket with 120 mangoes = 5 mangoes each (24 times)
The greatest number of mangoes which is to be taken out of the basket with 168 mangoes = 7 mangoes each (24 times)
g) The area of the floor = 12 m × 10 m = 120 m²
The factor of 120 m² which is a perfect square is 4 therefore, we have;
The side length of each squared marble, s = √4 = 2
The side length of each squared marble, s = 2 m
P, Q and R form the vertices of a triangle. QPR = 37°, QR = 5 cm and PQ = 8cm. Calculate all possible values of QRP to 1 DP
Answer: q=1
Step-by-step explanation: Because it connects
Explain how you can compare the cost of two items that are different sizes.
Answer:
You could compare the ounces or weight, the price per unit, or overall quality.
Step-by-step explanation:
You could use the ounce/weight to check which weighs more, or has more in it. Then figure out which is more reasonable. You could use the price per unit, and the ounce/weight because the price per unit/ price per ounce could be more expensive, or less expensive and make more sense to buy. Or you could just use overall quality. You can have an item with more in it, but have lower quality contents, when you could have a smaller amount with better quality contents, which might cost a little more.\
-Hope this helped
(a) Graph a linear function of your choice. On the same graph, graph a linear function transformed 2 units up and 3 units down.
(b) What was the equation of your linear function in slope-intercept form?
(c) What was the equation of the transformed function in slope-intercept form?
(a) The graph of the linear functions is as attached.
(b) The equation of the linear function in slope-intercept form is; y = x
(c) The equation of the transformed function in slope-intercept form is;
y = x + 2 and y = x - 3
How to interpret the graph of a Linear Function?
Functions are defined as the relationship between sets of values. For example, in the function; y = f(x), for every value of x there exists a set of y values.
x is the independent variable.
y is the dependent variable.
If the linear function is; y = x,
The equation of the transformation in slope-intercept form is given as;
For translation of 2 units up, we have;
y = x + 2
For a translation of 3 units down, we have;
y = x - 3
Thus, the required graph has been attached and the solution is determined.
Read more about Linear Function at; https://brainly.com/question/4025726
#SPJ1
Identify the explanatory variable and the response variable. A farmer wants to determine if the temperature received by similar crops can be used to predict the harvest of the crop. The explanatory variable is the ▼ (harvest of the crop, farmer, temperature) .The response variable is the ▼ (farmer ,harvest of the crop ,temperature)
The explanatory variable is temperature, as the farmer wants to use it to predict the harvest of similar crops.
The response variable is the harvest of the crop, as this is the variable that is being predicted by the temperature. In this scenario, the explanatory variable is the temperature, as it is being used to predict the outcome. The response variable is the harvest of the crop, as it is the outcome that the farmer wants to understand based on the explanatory variable. Your answer: The explanatory variable is the temperature. The response variable is the harvest of the crop.
To know more about temperature visit:
https://brainly.com/question/7510619
#SPJ11
f(n)=3.3n-1 for n ≥ 1
The first five terms of the given function is:
f(1) = 2.3
f(2) = 5.6
f(3) = 8.9
f(4) = 12.2
f(5) = 15.5
Functions: The core concept of mathematics calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h.
The given function is f(n) = 3.3n-1 for n>= 1
The first 5 terms of this function are as follows:
f(1) = 3.3(1)-1
= 3.3-1 = 2.3
f(2) = 3.3(2)-1
= 6.6-1 = 5.6
f(3) = 3.3(3)-1
= 9.9-1
=8.9
f(4) = 3.3(4)-1
= 13.2-1
=12.2
f(5) = 3.3(5)-1
= 16.5-1
= 15.5
Learn more about functions:
https://brainly.com/question/12431044
#SPJ1
How can you prove the triangles congruent below given the following
information. Given: segment PN and segment KQ bisect each other.
Answer:
i think is sas......i hope im not wrong
Given h(x) = 4x - 4, solve for x when h(x) = 0.
The value x in the equation h(x) = 4x-4 is, x =1
What is polynomial?Polynomial functions are functions of a single independent variable.
To solve for x
Since h(x) =0
substitute h(x) into equation
h(x) = 4x - 4
0=4x - 4
Add 4 to both sides
4x = 4
Divide both side by 4
4x/4 = 4/4
x = 1
therefore, the value of X= 1
Learn more about polynomial here; https://brainly.com/question/2833285
#SPJ1
find a basis for and the dimension of the solution space of the homogeneous system of linear equations −x y z = 0 2x − y = 0 2x − 3y − 4z = 0 (a) a basis for the solution space
The homogeneous system of linear equations has a solution space with a basis of {(1, 2, -1)}. The dimension of the solution space is 1.
To find a basis for the solution space of the given homogeneous system of linear equations, we need to solve the system and express the solutions in terms of a linear combination of vectors.
The system of equations is as follows:
Equation 1: -x + y - z = 0
Equation 2: 2x - y = 0
Equation 3: 2x - 3y - 4z = 0
We can start by using the equations to eliminate variables. From Equation 2, we can express y in terms of x as y = 2x. Substituting this into Equation 1 gives us -x + 2x - z = 0, which simplifies to x - z = 0. Rearranging this equation, we have x = z.
Now, we can express the variables in terms of a single parameter. Let's choose z as the parameter. Thus, x = z and y = 2x = 2z.
Now, we can express the solutions in vector form as (x, y, z) = (z, 2z, z) = z(1, 2, 1). This means that the solution space is spanned by the vector (1, 2, 1).
To find the basis for the solution space, we need to check if the vector (1, 2, 1) is linearly independent. Since it is the only vector spanning the solution space, it is linearly independent. Therefore, the basis for the solution space is {(1, 2, 1)}.
The dimension of the solution space is equal to the number of vectors in the basis, which in this case is 1. Therefore, the dimension of the solution space is 1.
For more such questions on homogeneous, click on:
https://brainly.com/question/14778174
#SPJ8
HELP PLEASEEEEEE!!!!
Answer:
c by 3 minutes a day your answer is c
Mike walks mile in half an hour. Which of the following represents his walking speed in miles per
hour?
A. 1/2 mph
B. 1/8 mph
C. 8 mph
D. 3/4 mph
Answer:
Step-by-step explanation:
distance = rate \(*\) time
1 (mile) = rate \(*\) 0.5 (hours)
\(1/0.5 =\) rate
rate = 2 mph...
That however is not answer choice. I'm guessing the number in front of the mile didn't copy over. You can use the same method I did, but just plugging in the actual number instead of 1.
Find the digits x and y such that number 90x0y07 is divisble by 2017
No digit with the format 90x0y07 is divisible by 2017
How do determine the digits x and y?The given parameters are:
Dividend = 90x0y07
Divisor = 2017
The dividend is a 7-digit number, and the divisor is a 4-digit number
So, the quotient must be 3 to 4 digits.
Comparing the first and last digits of 90x0y07 and 2017;
The first and last digits of the quotient must be 4 and 1, respectively
So, we have:
90x0y07 = 2017 * 4a1
Assume a = 9.
So, we have:
90x0y07 = 2017 * 491
90x0y07 = 990347
The above is 6-digit.
So, we make use of a 4-digit quotient
This gives
90x0y07 = 2017 * 4ab1
Next, we make use of trial by error.
After several attempts, we conclude that no digit with the format 90x0y07 is divisible by 2017
The closest attempt is
90x0y07 = 2017 * 4471
90x0y07 = 9018007
Where:
x = 1, y = 0 and the digit between x and y is 8, not 0
Read more about digits at:
https://brainly.com/question/1553674
#SPJ1
triangle A’ B’ C’ is the image of triangle ABC
pls help i am so stuck!
The horizontal change from triangle ABC to triangle ABC include the following: A. right 5 units.
The vertical change from triangle ABC to triangle ABC include the following: C. down 2 units.
The translation rule in the standard format is: (x, y) → (x + 5, y - 2).
What is a translation?In Mathematics, the translation of a graph to the left is a type of transformation that simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation of a graph to the right is a type of transformation that simply means adding a digit to the value on the x-coordinate of the pre-image.
By translating the pre-image of triangle ABC horizontally right by 5 units and vertically down 2 units, the coordinate A of triangle ABC include the following:
(x, y) → (x + 5, y - 2)
A (3, 5) → (3 + 2, 5 - 2) = A' (5, 3).
Read more on translation here: brainly.com/question/26869095
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.
which of the following statements is NOT true?
A. the ratios of the vertical rise to the horizontal run of any two distinct nonvertical parallel lines must be equal.
B. if two distinct nonvertical lines are parallel, then two lines must have the same slope.
C. Given two distinct lines in the cartesian plane, the two lines will either intersect of they will be parallel
D. Given any two distinct lines in the cartesian plane, the two liens will either be parallel or perpendicular
The statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is NOT true.
A. The statement is true. The ratios of the vertical rise to the horizontal run, also known as the slopes, of any two distinct nonvertical parallel lines are equal. This is one of the properties of parallel lines.
B. The statement is true. If two distinct nonvertical lines are parallel, then they have the same slope. Parallel lines have the same steepness or rate of change.
C. The statement is true. Given two distinct lines in the Cartesian plane, the two lines will either intersect at a point or they will be parallel and never intersect. These are the two possible scenarios for distinct lines in the Cartesian plane.
D. The statement is NOT true. Given any two distinct lines in the Cartesian plane, they may or may not be parallel or perpendicular. It is possible for two distinct lines to have neither parallel nor perpendicular relationship. For example, two lines that have different slopes and do not intersect or two lines that intersect but are not perpendicular to each other.
Therefore, the statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is the one that is NOT true.
Learn more about cartesian plane here:
https://brainly.com/question/32222840
#SPJ11
Consider a game board that has 49 squares. You place 1 grain of wheat on the first square, 2 on the next, 4 on the next, 8 on the next, and so on to the 49th square. How many total grains of wheat will there be? Write your answer using scientific notation.
Approximately 5.6 x 10¹⁴ grains of wheat in scientific notation.
Describe Geometric Series?A geometric series is a sequence of numbers in which each term is obtained by multiplying the previous term by a fixed constant. This constant is called the common ratio, and it is denoted by the letter "r".
The formula for the sum of the first n terms of a geometric series is:
S_n = a(1 - rⁿ)/(1 - r)
where S_n is the sum of the first n terms, a is the first term of the sequence, r is the common ratio, and n is the number of terms in the series.
The number of grains of wheat on each square of the board can be found by raising 2 to the power of the square number minus 1. For example, the number of grains of wheat on the first square is 2⁰ = 1, the number on the second square is 2¹ = 2, the number on the third square is 2² = 4, and so on.
So, the total number of grains of wheat on the board is the sum of 2⁰ + 2¹ + 2² + ... + 2⁴⁸. This is a geometric series with first term 1 and common ratio 2. Using the formula for the sum of a geometric series, the total number of grains of wheat is:
2⁰ + 2¹ + 2² + ... + 2⁴⁸ = (2⁴⁹ - 1)/(2 - 1) = 2⁴⁹ - 1
This is approximately 5.6 x 10¹⁴ grains of wheat in scientific notation.
To know more about series visit:
https://brainly.com/question/21087466
#SPJ1
Determine the missing step for solving the quadratic equation by completing the square.
0 = –6x2 + 24x – 5
5 = –6x2 + 24x
5 = –6(x2 – 4x)
inside the parentheses and
.
–19 = –6(x – 2)2
StartFraction 19 Over 6 EndFraction = (x – 2)2
Plus or minus StartRoot StartFraction 19 Over 6 EndFraction EndRoot = x – 2
The two solutions are
Plus or minus StartRoot StartFraction 19 Over 6 EndFraction EndRoot
Answer:2 = x
The missing step is:
Take the square root of both sides of the equation to get the value of x, which is:
x = 2 ± √(19/6)
Now we have our solutions, x = 2 + √(19/6) and x = 2 - √(19/6) which are the solutions of the quadratic equation.
Step-by-step explanation:
Answer: 1) Add 4 2) Subtract 24 from 5 3) 2
Correct on Edge 2023 :)
Tom is making coffee from coffee beans, he has a bag of coffee beans that weigh 2 1/2 pounds, then,
If 20 cups is made then how many pounds of coffee are required for each cup?
А. 1/2 pound
B. 1/4 pound
C. 1/8 pound
The temperature of a city at sunset was -2°F. Overnight, the temperature decreased by 12°F. What was the lowest
temperature overnight in that city?
A. -14°F
OB
14°F
О С.
10°F
D. -10°F
Answer:
-14 F
Step-by-step explanation:
If this is the graph of f(x)=a^(x+h)+k then the domain is.....
Answer:
d)
Step-by-step explanation:
The domain are all the possible values for x. For this graph the domain will continue on forever in both the positive and negative direction, so (-∞, ∞).
The range are all possible values for y. For this graph, k affects the height of the graph. Since k affects how far up/ down you move the graph, therefore (k, ∞)
The h in the equation shows how far you move the graph to the left/right.
Which inequality represents all values of x for which the product below is
defined
Answer:
D
Step-by-step explanation:
D is the only option where there's always 0 or positive integers inside the radical. The square root of a negative number is imaginary.
The inverse of a function can be found by ___ the numbers in each ordered pair of the function.interchangingreflectingexponentintercept
The main answer to your question is "interchanging". To find the inverse of a function, we interchange the numbers in each ordered pair of the function. This means that we switch the x and y values of each point in the function.
For example, if we have a function f(x) = 2x + 3, the ordered pairs would be (1,5), (2,7), (3,9), etc. To find the inverse function, we would switch the x and y values of each point to get ordered pairs such as (5,1), (7,2), (9,3), etc.
The explanation for why we interchange the numbers is that the inverse function "undoes" the original function. If we apply the original function to a number, the inverse function will take us back to the original number. By switching the x and y values, we make sure that the inverse function will undo the original function.
In conclusion, to find the inverse of a function, we interchange the numbers in each ordered pair of the function. This ensures that the inverse function will undo the original function.
Hi! I'm happy to help you with your question.
Main answer: The inverse of a function can be found by interchanging the numbers in each ordered pair of the function.
Explanation: When finding the inverse of a function, you are essentially swapping the input and output values in each ordered pair (x, y) to create a new ordered pair (y, x). This process is called interchanging the numbers in the ordered pair.
Conclusion: To find the inverse of a function, you need to interchange the numbers in each ordered pair of the function, which essentially swaps the input and output values.
To know more about inverse function, visit
https://brainly.com/question/2541698
#SPJ11
Two angles are supplementary. One angle is 155. What is the measure of the other angle?
Answer: your answer should be an angle that is greater than 90 degrees.
Step-by-step explanation: a supplementary angle is an angle that is greater than 90 degrees. hope it helps :)