()
Complete the table using the given rules. Then, compare pattern A to pattern B.
() Pattern A
◄) subtract 20
Pattern B
() subtract 4
100
20
Which statement is true?
Each term in pattern B is 80 less than the corresponding term in pattern A.
Each term in pattern B can be found by dividing the corresponding term in
pattern A by 5.
Answers
Answer:
100; 80, 60, 4020; 16, 12, 8dividing by 5Step-by-step explanation:
You want to fill a table using the given rules, then describe the relationship between the table values.
Pattern AStarting with 100, you want to subtract 20 to get next terms:
100
100 -20 = 80
80 -20 = 60
60 -20 = 40
The next terms are 80, 60, 40.
Pattern BStarting with 20, you want to subtract 4 to get next terms:
20
20 -4 = 16
16 -4 = 12
12 -4 = 8
The next terms are 16, 12, 8.
RelationshipLooking at second terms, we can determine which description is true:
80 -80 = 0 ≠ 16 . . . . . the description "subtract 80" fails
80/5 = 16 . . . . . . . . . . the description "divide by 5" works
Each term in pattern B can be found by dividing the corresponding term in pattern A by 5.
Related Questions
Type A: f(x)= 10 + 8x Type B: g(x)= 17 + 7x Two types of generators each require a fixed amount of fuel to start. After starting, each generator produces a constant amount of energy per ounce of fuel used. The functions fand g above represent the amount of fuel, in ounces, that each type of generator requires to produce x units of energy when started once. 29 A type A generator was used to produce units of energy, and a type B generator was used to produce k units of energy. Each generator-was started once, and a combined total of 100 ounces of fuel was used. Which of the following equations represents the relationship between n and k? A) 8n+7k 100 B) 8m+7k-73 C) 8n+7k=127 8n 7k D) +7 100 100 30 A type A and a type B generator were started and operated until they ran out of fuel. The two generators combined used 216 ounces of fuel to produce 25 units of energy. How many more units of energy were produced by the type A generator than by the type B generator? A) 0.2 B) 3.0 C) 11.0 D) 12.6
Answers
Answer:
The relationship between n and k represent by 8n+7k=73 (option B) when 100 ounces of fuel are used in total
11 more units of energy were produced by the type A generator than by the type B generator
Step-by-step explanation:
Type A generate produces n units of energy so,f(n)=10+8n
Type B generate produces k units of energy so,g(k)=17+7k
f(x) and g(x) represent amounts of fuel used.
Total ounces of fuel used = 100
f(x)+g(x) = 100
f(n)+g(k)=100
10+8n+17+7k=100
8n+7k=100-10-17
8n+7k=73
The relationship between n and k represent by 8n+7k=73(option B)
Total ounces of fuel used = 216
f(x)+g(x) = 216
f(n)+g(k)=216
10+8n+17+7k=216
8n+7k=216-10-17
8n+7k=189
n+7n+7k=189
n+7(n+k)=189
Total energy produced = n + k = 25
n+7(n+k)=189
n=189-7(n+k)
n=189-(7 ✕ 25)
n=189-175
n=14 units
Total energy produced = n + k = 25
Substitute n = 14 in n + k = 25,we get
14+k =25
k=25-14=11
k=11 units
11 more units of energy were produced by the type A generator than by the type B generator
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7. Segment A'B' is parallel to
segment AB. (Lesson 3-11)
a. What is the length of
segment A'B'?
2
B'
b. What is the length of C 3
segment B'B?
A'
B
6
12
A
Answers
a) The length of segment A'B' is given as follows: 4 units.
b) The length of segment B'B is given as follows: 4 units.
How to obtain the missing lenghts?The two similar triangles in this problem are given as follows:
ABC and A'B'C'.
Then side lengths of ABC are given as follows:
12, 9 and 2 + x.
The equivalent side lengths on triangle A'B'C' are given as follows:
y, 3 and 2.
When the triangles are similar, the side lengths are proportional, hence the following equation is built:
12/y = 9/3 = 2+x/2.
Then the length of segment A'B' is obtained as follows:
12/y = 9/3
12/y = 3
3y = 12
y = 12/3
y = 4.
The length of segment B'B is x, hence it is obtained as follows:
9/3 = 2+x/2.
2 + x = 6
x = 4 units.
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If a, b, c, d are positive real numbers such that a, b, c, d form an increasing arithmetic sequence and a, b, d form a geometric sequence, then a/d is
a. 1/12
b. 1/6
c. ¼
d. 1/3
e. ½
Answers
A/d is equal to c/b if a, b, c, and d are positive real numbers that form an increasing arithmetic sequence and a, b, d, a geometric sequence.
Since a, b, c, d form an increasing arithmetic sequence, we can write them as
a = x,
b = x + d,
c = x + 2d
Also, since a, b, d form a geometric sequence, we have
a = bx, d = b2
Substituting the values in the equation for c and d, we get
c = x + 2b2
Now, dividing both sides by b, we get
a/d = c/b
=> a/d = (x + 2b2)/b
=> a/d = x/b + 2b
=> a/d = c/b
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The diagonals of an isosceles trapezoid are congruent. TRUE or FALSE
Answers
Answer: True.
Because the trapezoid is isosceles, the base angles are congruent by default.
Given isosceles trapezoid ABCD
Sides AB and DC are congruent
By the SAS postulate, triangles ABC and DCB are congruent
Therefore, segment AC is congruent to segment DB
Which of the following is coterminal to 500 degrees in radians?
5pi/6
8pi/9
2pi/3
7pi/9
Answers
Answer:
7pi/9
Step-by-step explanation:
subtract 360 from 500 as many times as you can
number left should be converted to radians
500 - 360 = 140
140 * (pi/180) =
140Pi/180 =
simplify by dividing by 20 top & bottom
7Pi/9
varsitytutors
a study was conducted to determine if drinking a cup of tea before bedtime helped with falling asleep faster. after randomly assigning 50 people to one group that received tea before bedtime and 50 other people to a group that did not receive tea before bedtime, the researcher then compared the amount of time it took for each person to fall asleep.
Answers
According to the given hypothesis, the experiment was conducted based on the observational study.
Hypothesis:
in statistics, the statement of expectation or prediction that will be tested by research is known as hypothesis.
Given,
Here we have a study was conducted to determine if drinking a cup of tea before bedtime helped with falling asleep faster. after randomly assigning 50 people to one group that received tea before bedtime and 50 other people to a group that did not receive tea before bedtime, the researcher then compared the amount of time it took for each person to fall asleep.
Now, we need to find the type of study used in the given study.
While we looking into the given question, we know that they researchers must study the group of 100 people sleeping patter.
Here the total amount is divided into two parts, the first group who is taken tea before bed and the second one is not.
Here the researchers observe the behavior of the people. So, these type of research fall under the observational study concept.
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How do you know if a function is odd?
Answers
Therefore solution to this problem is the function is odd if f(-x) = -f (x).
What is function?In mathematics, a function from a set X to a set Y assigns each element of X precisely one element of Y. The domain and codomain of the function, respectively, are the sets X and Y.
Here,
We can know the function is even or odd by substituting the values in the function f(x) as f(-x)
Thus
If f(-x) = f, then f(x) is an even function (x). If the function is odd, then f(-x) = -f (x). Reflection symmetry around the y-axis exists for an even function. The rotational symmetry of an odd function is at the origin.
Therefore the function is odd if f(-x) = -f (x).
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30/4+5•3-9
help me please!! ;)
Answers
Answer:
30/4+5•3-9
= 7.5+15-9
= 22.5-9
= 13.5
Step-by-step explanation:
Tell whether the table of values represents a linear, exponential, or quadratic function.
Answers
The rate of decrease of this function is constant so it is a linear function.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
From the given table we can observe or conclude that the as x coordinate is increasing by 1 unit y coordinate is decreasing by 2 units.
So this is a linear function as the rate of increase or decrease is the same.
The points are (1, 1), (2, - 1), (3, - 3), (4, - 5), (5, - 7), and (6, - 9).
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a retired statistic professor has recorded final exam results for decades. the mean final exam score for the population of a student is 82.4 with a standard deviation of 6.5. in the last year for standard deviation seems to have changed she bases this on a random sample of 25 students whose final exam had a mean a 80 with a standard deviation of 4.2 test the professor's claim that the current mean is different from 82.4. use a equals 0.05 Assume that o is known to be 6.5
Express the claim in symbolic form. Express the claim in symbolic form. Group of answer choices A )σ > 6.5 B) σ = 6.5 C) σ < 6.5 D) σ ≠ 6.5 E) σ ≥ 6.5 F) σ ≤ 6.5 28) What is the alternative hypothesis, H1? Group of answer choices A) σ < 6.5 B) σ ≤ 6.5 C) σ ≠ 6.5 D) σ = 6.5 E) σ > 6.5 F) σ ≥ 6.5 29) Find the critical value(s). (Round to the nearest thousandth. If more than one value is found, enter the smallest critical value.) 30) Find the value of the test statistic. (Round to the nearest ten-thousandth.) 31) What is the statistical conclusion? Group of answer choices A)Fail to reject H0 B) Reject H0 32) State the conclusion in words. Group of answer choices A) There is not sufficient sample evidence to support the claim that the current standard deviation is different from 6.5 . B) The sample data support the claim that the current standard deviation is different from 6.5 . C) There is not sufficient evidence to warrant rejection of the claim that the current standard deviation is different from 6.5 . D) There is sufficient evidence to warrant rejection of the claim that the current standard deviation is different from 6.5 .
Answers
The value of the standard deviation does not change and remains the same.
Given, a retired statistic professor has recorded final exam results for decades. the mean final exam score for the population of a student is 82.4 with a standard deviation of 6.5.
The mean μ = 82.4
The standard deviation σ = √[ ((x - μ)2 + (y - μ)2 + (z - μ)2)/3 ]
we have to find the variance,
We now add a constant k to each data value and calculate the new mean μ'.
μ' = ((x + k) + (y + k) + (z + k)) / 3 = (x + y + z) / 3 + 3k/3 = μ + k
We now calculate the new mean standard deviation σ'.
σ' = √[ ((x + k - μ')2 +(y + k - μ')2+(z + k - μ')2)/3 ]
Note that x + k - μ' = x + k - μ - k = x - μ
also y + k - μ' = y + k - μ - k = y - μ and z + k - μ' = z + k - μ - k = z - μ
Therefore σ' = √[ ((x - μ)2 +(y - μ)2+(z - μ)2)/3 ] = σ
If we add the same constant k to all data values included in a data set, we obtain a new data set whose mean is the mean of the original data set PLUS k. The standard deviation does not change.
Hence, the standard deviation does not change.
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dy is perpendicular to ac, xf is perpendicular to bc, ze is perpendicular to ab. prove triangle abc is similar to triangle yzx
Answers
Triangle ABC and triangle XYZ are congruent thus ∆ABC and XYZ are similar
What are similar trianglesSimilar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects.
if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
line DY bisects AC and line ZE bisects line AB.
Therefore line AD is congruent to line AE and line CD is congruent to line EB.
therefore AB = CD and similar XY = YZ
therefore ∆ABC and ∆XYZ are similar
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Find the midpoint of PQ. SEE17. P(3, 5), Q(-2, 13) 18. P(-2, 2.5), Q(1.4, 4) 19. P(4 1/3, 3 1/6), 0(-2 1/5, 3 2/3)
Answers
Therefore, The necessary midpoints are Mz(1 1/5, 3 1/4), My (-0.3, 3.25), and Mx(1/2, 9).
Where does the middle point lie?Sometimes you have to locate the precise midpoint between two other plane point. You might, for instance, wish to locate a line that divides a given line segment into two equal halves. The "halfway" is the name given to this midpoint.
Here,
M can be used to indicate where two coordinates (x, y) and (a, b) meet in the middle (s, t)
s = x +a/2; t = y +b/2
Mid points
For P(3, 5), Q (-2, 13)
s = 3 - 2 / 2 ; t = 5 + 13 /2
1 / 2 =s ;
t= 9
Mx(1/2, 9) is a midpoint.
For P(-2, 2.5), Q (1.4, 4)
s = -2 + 1.4 / 2 ; t = 2.5 + 4 / 2
s = -0.3 ; t = 3.25
My middle (-0.3, 3.25)
For P(4 1/3, 3 1/6), Q (-2 1/5, 3 2/3)
s = (4 1 / 3 - 2 1/5 ) / 2 ; t = (3 1/6 + 3 2/3) / 2
s = 1 1/15 : t = 3 1/4
Midpoints Mz(1 1/5, 3 1/4)
Thus, the required midpoints are Mx(1/2, 9), My (-0.3, 3.25) and Mz(1 1/5, 3 1/4).
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I dont know how to get it. Anything helps
Answers
Answer:
25. y = 36
26. w = -4
Explanation:
25.
74 + 74 = 148
360 - 148 = 212
212 ÷ 2 = 106
106 = 2y + 34
106 - 34 = 2y
72 = 2y
72 ÷ 2 = (2y) ÷ 2
y = 36
26.
72 = 2w + 80
72 - 80 = 2w
-8 = 2w
-8 ÷ 2 = (2w) ÷ 2
w = -4
stirling's approximation is an incredibly accurate approximation of factorials using a continuous and differentiable function.
Answers
In mathematics, Stirling's approximation (or Stirling's formula) is a factorial approximation. A good approximation that gives accurate results even for small values of n. It is named after James Stirling and was first given by Abraham de Moivre, although relevant but less accurate.
Factorial is one of thein mathematics. It is also an important mathematical concept ubiquitous concepts used in data science. Factors are used to model probability distributions in Poisson processes. The probability mass function of the Poisson distribution has a factorial formula in the denominator. You can't find the probability of a Poisson random variable without a way to compute the factorial.
Factorials are also related to combinatorics. For example, hmm! is the number of permutations of n unique objects. From the point of view of statistical mechanics, entropy is defined as a combinatorial problem. Entropy also has its own definition in information theory. Comparing the two alternative definitions, they are identical.
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Find the Slope:
A. 2
B. -2
C. 1/2
D. -1/2
Answers
Which of the following refers to a set of procedures in which the sample size and sample statistics are used to make estimates of population values or facts?
A) sample logic
B) deductive statistics
C) statistical deduction
D) generalization
E) deductive logic
Answers
A set of procedures in which the sample size and sample statistics are used to make estimates of population values or facts is generalization. (Option D)
Statistical generalization refers to the inference of the results from a sample and applying it to a population. It involves statistically calculating the likely parameters of a population using data from a random sample of that population i.e., the sample must be selected randomly, and sample size must be large enough to be considered a representative of the population. Generalization is an essential component of the wider scientific process where researchers evaluate how well researchers consider their experimental results i.e., sample statistics from a sample can be extended to the population as a whole. Hence, generalization is used to make estimates of population values or facts.
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A dessert recipe calls for 2 cups of milk and makes 5 servings. How many cups of milk are needed for 8 servings?
Answers
5 servings = 2 cups of milk
1 serving = 2/5 cups of milk
do not worry about the fraction of milk for now!!
8 servings = 2/5 × 8 cups of milk
= 3.2 cups of milk
= 3 cups (rounded down)
Find the area of this circle. Use 3.14 for π.
Answers
5 Barb has 8 white balls, Tom has 3 white balls and 9 blue balls, Clare has 2 green balls and 1 blue ball. How many blue balls do Barb, Tom
and Clare have?
1 blue ball
O9 blue balls
7 blue balls
10 blue balls
Skip
4/6 complete
Answers
Samuel is buying a pair of boots with an original price of $80 ...
Answers
Based on the information , the store that gives the best deal is Store A .
Inn the question ,
it is given that ,
the original price for the shoes that Samuel is buying is = $80 .
the discount offered by Store A is = 25% ,
So , the effective price is = 80 - 0.25 of original price
Substituting the values ,
we get ,
= 80 - 20
= $60
the discount offered by Store B is = $10
So , the effective price is = 80 - 10 = $70 .
So , the price of shoe is less in store A in comparison to store B .
Therefore , the best deal is given by Store A .
The given question is incomplete , the complete question is
Samuel is buying a pair of boots with an original price of $80. Store A is offering a 25% discount off the original price of all boots. Store B is offering a $10 discount off the original price of all boots .
Based on this information, which store gave the best deal ?
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Solve 19 - 4x = 2x + 1
Answers
Answer: The answer is 3
Step-by-step explanation: I’m smart.
x= 3.
Step-by-step explanation:1. Write the expression.[tex]19 - 4x = 2x + 1[/tex]
2. Subtract 19 from both sides of the equation.[tex]19 - 4x-19 = 2x + 1-19\\ \\-4x=2x-18[/tex]
3. Subtract 2 from both sides of the equation.[tex]-4x-2x=2x-18-2x\\ \\-6x=-18[/tex]
4. Divide both sides by "-6".[tex]\frac{-6x}{-6} =\frac{-18}{-6} \\ \\x=3[/tex]
5. Verify the answer by substituting the calculated value of m into the original equation and simplifying.[tex]19 - 4(3) = 2(3) + 1\\ \\19-12=6+1\\ \\7=7[/tex]
That's correct. Therefore, x= 3 is the correct answer!
Allison had a birthday on Saturday she set up six tables and had 5 friends sitting at each table. How many people were at Allison’s birthday?
Answers
Answer:
there was 30 people at her birthday party
Lauren woke up one morning and saw frost on the windows. It was -2°C outside. Later in the day, the frost melted. At 3 p.m. it was 9°C outside. Which expression represents the difference between the two temperatures?
Answers
The expression represents the difference between the two temperatures is d = 9°C + 2°C
What is the difference between two numbers?The difference between two number a and b is d = a - b
How to find the difference between the two temperatures?Since Lauren woke up one morning and saw frost on the windows. It was -2°C outside. Later in the day, the frost melted. At 3 p.m. it was 9°C outside.
To find the expression that represents the difference between the two temperatures, we know that the difference is d = a - b where
a = initial outsde temperature and b = final inside temperatureGiven that
a = 9°C and b = -2°CSubstituting the values of the variables into the difference equation, we have that
d = a - b
d = 9°C - (-2°C)
d = 9°C + 2°C
So, the difference is d = 9°C + 2°C
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Solve the equation 2y+5=y-7
Answers
Answer: -12
Step-by-step explanation:
If a number is added to the numerator of 1/7 and twice the number is subtracted from the denominator, the result is 4. Find the number.
Answers
Answer:
2
Step-by-step explanation:
Convert \large \frac{5\pi}{7}radians to degrees.
(Use \large \pi = 3.14 when necessary and round your final answer to the hundredths place.)
\large \frac{5\pi}{7}radians= degrees
Answers
The equivalent measure of the angle when converted from radians to degrees is 128.57 degrees
How can the angle be converted from radians to degrees?From the question, we have the following parameters that can be used in our computation:
Angle = \large \frac{5\pi}{7}radians to degrees.
This angle can be properly expressed
So, we have the following representation
Angle = 5π/7 radians
Also, the angle can be further expressed
So, we have the following representation
Angle = 5/7 π radians
As a general rule of angle conversion, we have
π radians = 180 degrees
Substitute the known values in the above equation, so, we have the following representation
Angle = 5/7 * 180 degrees
Evaluate the products
Angle = 128.57 degrees
Hence, the measure of the angle in degrees is 128.57 degrees
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Answer the angle when converted from radians to degrees is 128.57 degrees
Angle = 5π/7 radians
Angle = 5/7 π radians
π radians = 180 degrees
Angle = 5/7 * 180 degrees
Evaluate the products
Angle = 128.57 degrees
Use a graph to show the relationship between the time and the distance traveled
Answers
Answer:
I don't know the answer of this questions
Use the equations for the total cost C and total revenue R to find the number x of units a company must sell to break even. (Round to the nearest whole unit.)
C = 2.5
x
+ 14,000, R = 6.23x
Answers
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The number of units to sell to break even is 3753.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
C = 2.5x + 14,000
R = 6.23x
Where,
C is the total cost.
R is the total revenue.
Now,
The number of x units a company must sell to break even.
2.5x + 14,000 = 6.23x
14000 = 6.23x - 2.5x
14000 = 3.73x
x = 14000 / 3.73
x = 3753
Thus,
The number of units to sell to break even is 3753.
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samuel used 1/5 of an ounce of butter; jacob used 1/7 of a liter; mason used 1/6 of a gram; michael plays 1/5 of a song in 1/15 of a minute
Answers
The ounces of butter that are needed to make a pound of jelly is 3 ounce .
In the question ,
it is given that ,
Samuel is using 1/5 of an ounce of butter to make 1/15 of a pound of jelly.
let the number of ounces of butter needed to make a pound of jelly be "x" .
So , the equation for the situation can be represented as
( 1/5 ounce butter)/(1/15 pound jelly) = x/( 1 pound jelly)
So ,after cross multiplication ,
we get ,
15/5 = x/1
So , x = 3 .
Therefore , the ounces of butter needed is 3 ounce .
The given question is incomplete , the complete question is
Samuel used 1/5 of an ounce of butter to make 1/15 of a pound of jelly. How many ounces of butter are needed to make a pound of jelly ?
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Please tell me ALL the partial products of 3.4 times 1.2
Answers
Answer:
34
× 12
---------
8
60
40
+ 300
----------
= 408
