The factorised form of the algebraic expression 16cd − 56c²d as given in the task content is; 8cd (2 - 7c).
What is the factorised form of the expression 16cd − 56c²d?It follows from the task content that the factorised form of the expression; 16cd − 56c²d as given is to be determined.
Since the given expression is;
16cd − 56c²d
First, each of the terms can be factored as follows;
16cd = 2 × 2 × 2 × 2 × c × d
56c²d = 2 × 2 × 2 × 2 × 7 × c × c × d
Therefore, since the factors which are common to both terms as follows; 2 × 2 × 2 × c × d = 8cd.
Therefore the factorised form of the expression is;
8cd (2 - 7c).
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find the difference between 289.6 and 99.9
Answer:
189.7
Step-by-step explanation:
Hope it helps! =D
Describe the transformation of f(x)=x2 represent by g
G(x) = [tex]x^{2}[/tex] + 4 is the transformation of f(x)=[tex]x^{2}[/tex] represented by g.
The change mentioned comes from f(x)=[tex]x^{2}[/tex], g(x) = x² + 4
The value of h determines the horizontal shift. The formula for the horizontal shift is g(x)=f(x+h). The graph has been moved left by h units.
g(x)=f(x-h)
The graph is moved right by h units.
The graph is not moved left or right in this instance because h=0.
No Horizontal Shift
The value of k determines the vertical shift. The formula for the vertical shift is g(x)=f(x)+k. The graph has been raised k units.
g(x)=f(x)-k The graph is moved k units downward.
Shift vertically up four units.
When g(x)=-f, the graph is mirrored on the x-axis (x)
No reflection on the x-axis
When g(x)=f, the graph is mirrored on the y-axis (x)
No reflection on the y-axis
Depending on the value of a, compressing and expanding.
When an exceeds 1, the line is extended vertically.
In the range 0 to 1, an is vertically compressed.
Vertical Stretch or Compression: None
Compare the transformations and make a list.
No Horizontal Shift
Shift vertically up four units.
No reflection on the x-axis
No reflection on the y-axis
Vertical Stretch or Compression: None
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Compute the requested average.
Tim Worker received a statement. It showed 3 payments totaling $158.14.
In dollars and cents, the average payment was $
The average payment of Tim worker is $52.71 .
The Average of n numbers can be defined as sum of n numbers divided by n .
For Example : Average of 2,4,5,9 is
=(2+4+5+9)/4
=20/4
=5
In the question ,
it is given that
Sum of amount Tim Worker received = $158.14
number of payments received = 3
So the Average payment for Tim worker can be calculated using the formula
Average = (Sum of payment)/(number of payment)
Substituting the values of Sum of payment and number of payment , we get
Average = 158.14/3
= 52.71
The average payment of Tim worker is $52.71 .
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Answer:
$52.71
Hope It Helps. (HIP).
WHAT IS GCF OF 35 AND 28 TELL ME WITH MULTIPLES
Answer:
i think it is 7 but not sure
Step-by-step explanation:
GCF of 28 and 35 is the largest possible number that divides 28 and 35 exactly without any remainder. The factors of 28 and 35 are 1, 2, 4, 7, 14, 28 and 1, 5, 7, 35 respectively. There are 3 commonly used methods to find the GCF of 28 and 35 - prime factorization, Euclidean algorithm, and long division.
3x - 4y ≥ 12 slope intercept form
Find a formula for the general term a n of the sequence assuming the pattern of the first few terms continues. { 8 , 6 , 4 , 2 , 0 , ... } Assume the first term is a 1
The general term aₙ of the sequence is aⁿ = 10 - 2n
How to find the general term of a sequence?The sequence follows a arithmetic patterns.
Therefore, arithmetic pattern is described by the following formula,
aₙ = a + (n - 1)d
where
a = first term of the sequencen = number of termsd = common difference of the sequenceTherefore,
a = 8
d = 6 - 8 = -2
Hence, the general term of the sequence is as follows;
aₙ = 8 + (n - 1)-2
aₙ = 8 + (-2n + 2)
aₙ = 8 - 2n + 2
aⁿ = 10 - 2n
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Evaluate the expression when x = 6. (- 2 ) * (-3 x )-4x
D
Let a be a number such that 15 < a < 50, and let b be
a number such that 40 < b < 70. Which of the
following represents all possible values of a - b?
A. -55 < a - b < 10
B. 20
C. -55 < a - b <-20
D. -25 < a - b < 10
Answer:
A
Step-by-step explanation:
10.
A container has 20 ½ cups of pancake mix. A serving uses exactly 2½ cups.
Part A
How many full servings are in the container?
Part B
How many cups of pancake mix are left over?
full serving
An individual with $36,000 in taxable
income pays $970 for the 10% tax
bracket, and $3,156 for the 12% bracket.
What is the overall federal income tax
payment for this individual?
A. $32,900
C. $4,126
B. $2,136
D. $3,656
The federal income tax is levied against the yearly profits of people, companies, and other legal entities. The overall federal income tax payment of this individual will be $4126.
What is federal Income tax?The federal income tax is levied against the yearly profits of people, companies, and other legal entities. Federal income taxes are due on all compensation, including salaries, monetary gifts from employers, business profits, tips, winnings from gaming, bonuses, and unemployment benefits.
Income taxes are levied by the federal government and the majority of states in the US. Income taxes, which may be incurred as income increases, are produced by applying a tax rate to taxable income, which is the total income less allowable deductions.
The overall federal income tax payment of this individual exists $970 + $3,156 = $4126.
The taxable income of the individual will be $4126.
Therefore, the correct answer is option C. $4,126.
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I NEED HELP ASAP ILL PAY YOU
The translation T₁: (x,y) → (x+7, y - 5) is applied to rectangle JKLM.
Next, the translation T₂: (x,y) → (x − 1, y +9) is applied to the rectangle.
What is the image of L(-9, -9) after the two translations are applied?
-
SOMEONE PLEASE HEP. determine if these triangles are similar and choose the correct postulate.
Answer:
C). Or SAS~with 3/2 proportionate sides.
Step-by-step explanation:
You can tell because the similar angle shows which sides should be proportional to the other on the corresponding triangle, and of those sides, 6/4 = 10.5/7
Easily simplifying to 3/2 both times to find the rate at which the side lengths where changed.
Hope this helps.
Identify the parent function for the function g (x) = x + 4 based on its function rule. Then graph g and identify the transformation of the parent function that it represents.Linear; translation up 4 unitsConstant; translation up 4 unitsLinear; translation down 4 unitsConstant; translation down 4 units
linear; translation up 4 units
Explanation:The given function is:
g(x) = x + 4
This is of the form:
y = mx + c
where m is the slope and c is the y-intercept
Therefore, g(x) is a linear function
The parent function is:
g(x) = x
g(x) = x + 4 means that the function is translated up 4 units
A chicken soup recipe calls for 13 cups of chicken stock. How much is this in quarts?Write your answer as a whole number or a mixed number in the simplest form. Include the correct unit in your answer.
ANSWER
[tex]3\frac{1}{4}qt[/tex]EXPLANATION
We want to find how much chicken stock will be needed in quarts.
To convert a value from cups to quarts, we have to divide it by 4.
Therefore, the amount of chicken stock needed, in quarts, is:
[tex]\begin{gathered} \frac{13}{4} \\ \Rightarrow3\frac{1}{4}qt \end{gathered}[/tex]That is the answer.
Brian's final exam in math had two parts. He had a total of 60 minutes to complete the entire exam. He spent 15 minutes on Part 1 of the exam. Write and solve an equation to show how much time he had left to complete Part 2.
m over 15 equals 60; m = 900 minutes
m − 15 = 60; m = 75 minutes
15 + m = 60; m = 45 minutes
15m = 60; m = 4 minutes
Answer:
15 + m = 60; m = 45 minutes
Step-by-step explanation:
Hello!
According to the question He had a total of 60 minutes to complete the entire exam. He spent 15 minutes on Part 1 of the exam. how much time he had left to complete Part 2.
Let's make an equation where the time spent on part 1 which is 15 + m which is minutes remaining for part 2 is equal to Total minutes which is 60 minutes
So, if we put it together;
15 + m = 60
So, let's solve for m
15 + m = 60
Substract 15 from both sides
15 - 15 + m= 60 - 15
m = 45
So, the equation is 15 + m = 60 and he had 45 minutes of time remaining to complete part 2.
What is 321 x 21398?
The multiplication of the given values of 321 x 21398 is 6868758.
What is multiplication operation?Multiplication operation can be described as the operation which involves the addition of numbers that are of equal groups which is been performed using the sign *.
When performing a multiplication operation a value will be used to multiply another values, for instance the given question, where 321 was given to multiply 21398, which can be represented as (321 x 21398 ) then we now have 6868758 as the result of the multiplication operation.
Therefore, after performing the multiplication operation on the given values the result will be 6868758.
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Question
Consider the function f(x) = 4x² +9 for x ≤ 0.
What is the domain of f-1(x)? Write your answer in interval notation.
Provide your answer below:
The domain of f⁻¹(x) is (9,∞).
The function we have is
f(x) = 4x² + 9 for x ≤ 0
Now, let us find the inverse of the function f(x),
To find the inverse of f(x),
Replacing f(x) with f(y)
f(y) = 4y² + 9
Now the equation is,
x = 4y² + 9
y² = (x-9)/4
y = √(x-9)/2
The inverse of f(x) is,
f⁻¹(x) = √(x-9)/2
The domain of √(x-9)/2 can be found as,
(x-9)>0
x>9
The domain of f⁻¹(x) is (9,∞).
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SAT scores are normed so that, in any year, the mean of the verbal or math test score should be 500 and the standard deviation 100. Assuming this is true, answer the following question.
What percentage of students score between 400 and 600 on the verbal SAT? Please round to a whole number.
The percentage of students that score between 400 and 600 on the verbal SAT is 11%.
How to calculate the percentage?It should be noted that from the information, SAT scores are normed so that, in any year, the mean of the verbal or math test score should be 500 and the standard deviation is 100.
Therefore, the percentage of students score between 400 and 600 on the verbal SAT will be:
Z = (625 - 500) / 100
Z = 125 / 100
Z = 1.25.
We will then look at the z table. This will be:
P(Z > 1.25) = 0.11
The percentage is 11%.
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The radius of a circle is 36 cm. A second circle has a radius of
6 cm. What is the ratio of the area of the larger circle to the area
of the smaller circle?
Answer:
36 : 1
Step-by-step explanation:
Hello!
Let's find the area of each circle in it's exact value, and then compare it.
Circle 1A = πr²A = π(36)²A = 1296πCircle 2A = πr²A = π(6)²A = 36πSince the values of pi are equal , we can compare the ratio of 1296 and 36.
Compare1296 : 3636:1The ratio is 36:1.
I went to Old Navy and found a pair of pants on sale for $24. This price was 15% off the original price. What was the original price?
Add (7x^3-2x^2-5x+6) and (2x^3+3x^2-x-1)
Answer:
(9x^3+x^2-6x+5) is the answer to algebra equation
simplify the expression -1/3x-12+1/2x-2
Answer:
Step-by-step explanation:
x-84/6
PLS HELP MEEEEEEEEEEEEEEEEEEEEE PLS I BEG U
how could you use a graph of a proportional relationship to find any ratio in the the proportional relationship why does this work?
When the graph of a proportional connection passes through the origin, the ratio in the proportional relationship can be found.
How to illustrate the information?The connection is proportional if the graph is a line through the origin. This relationship is non-proportional unless the line or ray is non-proportional. K = y/x is the formula for the constant of proportionality. The formula for the slope of a straight line with respect to the origin is the same as this.
If the graph is a line or lines through the origin, the relationship is proportional. If the line or ray does not pass through the origin, it will not be proportional. Also, anything that is not linear is not proportional
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If D = 1 + 4p – 6p2 and C =1-p, find an expression that equals 2Dstandard form.
noah is running a portion of a marathon at a constant speed of 6 miles per hour.
The miles he ran in 4/3 hours at a constant speed of 6 miles per hour is 8 miles.
What is the average speed?The average speed is the ratio of total length traveled to total time taken to travel that length. Average speed is the total distance travelled per time.
Average speed = the total distance / total time
Given that Noah's average speed is 6mph
From the above formula, to determine miles run is average speed x time
The Total miles he ran in 1 hour = 6 x 1 = 6 miles
Total miles he ran in 1/2 hours = 6 x 1/2 = 3 miles
Total miles he ran in 1 and 1/3 hours = 6 x 4/3 = 8 miles
The formula for the total time: total distance / average speed
The Time it took Noah to run 1 and 1/2 miles = 3/2 ÷ 6 = 1/4
Time it took Noah to run 9 miles = 9 ÷ 6 = 1 1/2
Time it took Noah to run 4 and 1/2 miles = 9/2 ÷ 6 = 3/4
The miles he ran in 4/3 hours at a constant speed of 6 miles per hour is 8 miles.
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The complete question is
Noah is running a portion of a marathon at a constant speed of 6 mph. Complete the table to predict how long it would take him to run different distances at that speed and how far he would run in different time intervals.
Time in hours Miles traveled at 6mph
1.
1/2
1 1/3
1 1/2
9
4 1/2
Please help me with this question thank you
As given by the question
There are given that the expression
[tex]22=\frac{a}{5}[/tex]Now,
Multiply by 5 on both side of the equation
So,
[tex]\begin{gathered} 22=\frac{a}{5} \\ 22\times5=\frac{a}{5}\times5 \\ 22\times5=a \\ 110=a \end{gathered}[/tex]Hence, the value of a is 110.
please please help me out
.
[tex]Pr(x)=\sum_{x\mathop{=}0}^nnC_x\times p^x\times q^{n-x}[/tex][tex]x=0,\text{ n=43, p=}\frac{1}{124},\text{ q=1-}\frac{1}{124}=\frac{123}{124}[/tex][tex]Pr(x=0)=43C_0\frac{}{}\times(\frac{1}{124})^0\times(\frac{123}{124})^{43}=0.71[/tex]For the soccer team fundraiser, you carn 5 points
for every $3 you raise. If Tyson carned 85 points,
how much money did he raise?
Answer:
He raised 51 dollars
Step-by-step explanation:
If for every 5 points he raised 3 dollars he would have raised 51 dollars because he had 85 points.
write an equation to describe the relationship between w and z w: | 18 | 45 | 81z: | 2 | 5 | 9
Notice that the values for w are multiples of 9, and their respective factor is expressed on the values of z. Therefore, the equation to describe the relationship between w and z is w=9z
Send answers please and thanks. ILL GIVE BRAINLIEST
a. The approximation of each population written in scientific notation is
China : 1.4 × 10⁹ people
United States : 3.2 × 10⁸ people
b. 1.06 × 10⁹ people live in China than in the United States
Writing Scientific NotationFrom the question, we are to write the approximation of each population in scientific notation
From the given information,
China has a population of approximately 1,382,323,332 people
The United States has a population of about 324,118,787 people
Using scientific notation, the population of
China is 1.382323332 × 10⁹
United States is 3.24118787 × 10⁸
Approximately,
China : 1.4 × 10⁹
United States : 3.2 × 10⁸
To determine how many more people live in China than in the United States
1,382,323,332 - 324,118,787
= 1,058,204,545
= 1.058204545 × 10⁹
≈ 1.06 × 10⁹
Hence, the number of people that live in China than in the United States is 1.06 × 10⁹
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