Find the 2nd term in expansion of (4-2x)⁴ Show steps
Answers
[tex]\huge\mathfrak\pink{Answer}[/tex]
(4 - 2x) ²
[tex]\bold{(4-2x)^{4} }[/tex]
[tex]\bold{[(4-2x)^{2}]^{2} }[/tex]
[tex]\bold{(4-2x)^{2}(4-2x)^{2} }[/tex]
Related Questions
If you know that log5 (2) - log5 (12) = 0, which of the following is false?
ол
A log5 (x) = log5 (12)
O Blog (2 - 12) = 0
C log5 (x) = 0
ор.
2 = 12
Answers
Answer:
B
Step-by-step explanation:
A is correct because [tex]log_5(12)[/tex] was added on both sides, which is supported by the Additive Property of Equality
C is correct because the Quotient Property of Logarithms states that [tex]log_bM-log_bN=log_b(\frac{M}{N} )[/tex]
so [tex]log_5(x)-log_5(12)=log_5(\frac{x}{12} )[/tex] is correct
D is correct because using the fact that [tex]log_5x=log_512[/tex] it is easy to figure out that x=12
For B, there is no property supporting that statement.
A bag contains 12 colored marbles. Dan drew a single marble from the bag 25 times, replacing the marble each time. He recorded drawing a red marble 9 times, a yellow marble 6 times, a blue marble 4 times, and a green marble 6 times. Based on these results, what is a reasonable conclusion about the makeup of the marbles in the bag?
Select one:
more red marbles than blue marbles
no white marbles
an equal number of yellow and blue marbles
more green marbles than red marbles
Answers
Answer:
more red marbles than blue marbles
no white marbles
hope it is helpful to you
Which iwo operations are needed to write the expression that represents four times the difference of a number and
three"?
multiplication and subtraction
division and subtraction
multiplication and addition
O division and addition
J
Answers
Answer:
multiplication and subtraction
Step-by-step explanation:
4(n-3)
100 Points!!!!! PLEASE HELP. Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
2. Translate the new algebraic expression you created in Question 1 to a verbal expression.
Part 2: Writing Equivalent Expressions
3. You will now use mathematical properties to create two expressions that are equivalent to the expression you created in Question 1. Make sure you show all steps in your work.
a. Use either the commutative property or combine like terms to create an equivalent expression.
b. Use the distributive property to create an equivalent expression.
4. Pick a number from 1 to 10. Use that number to verify your three expressions (the original, the one from 3a, and the one from 3b) are equivalent by substituting it into each expression. Show all your work for complete credit.
Part 3: Finish the Story
5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Step-by-step explanation:
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
25(10j + 18 + 5j)
Your expression is good.
Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.
Skuttle offered to pay his sister Izzy $25 for every four-leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will overall make more money together.
Your verbal expression is good. It reflects your chosen equation.
Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.
Using commutative property of addition, the expression in question 1 can be rewritten as follows:
Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:
Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.
Part 3: Finish the Story
Q5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Answers
Answer:
Step-by-step explanation:
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
25(10j + 18 + 5j)
Your expression is good.
Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.
Skuttle offered to pay his sister Izzy $25 for every four leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will over all make more money together.
Your verbal expression is good. It refrects your chosen equation.
Part 2: Writing Equivalent Expressions
Q3. Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.
Using commutative property of addition, the expression in question 1 can be rewritten as follows:
25(10j + 18 + 5j) = 25(10j + 5j + 18)
Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:
25(10j + 18 + 5j) = 250j + 450 + 125j
Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.
Now we can subsitute, say 7 for j.
For the first expression, we have:
25(10j + 5j + 18) = 25(10(7) + 5(7) + 18)
= 25(70 + 35 + 18) = 25(123) = 3,075.
For the second expression, we have:
250j + 450 + 125j = 250(7) + 450 + 125(7) = 1,750 + 450 + 875 = 3,075.
Thus, we can see that both expressions are equivalent.
Part 3: Finish the Story
Q5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Sarah found 3 + 7 = 10 shark teeth.
John found 10 / 2 = 5 shark teeth.
The total money they earned is $5 x 15 = $75.
1) an expression that looks similar would be (could be anything)
4(5j+8+4j)
2) It would become:
four times the sum of five times a number, eight, and four times the same number
3) equivalents would be 4(9j+8)
or:
4(5j)+4(8)+4(4j)
4) say J=1 for simplicity
4(9+8)
=4x17
=68
next one would be:
4x5+4x8+4x4
=20+32+16
=68
ok, this is correct.
5) Sarah found 10 shark teeth for $50. John found 5 shark teeth for $25. They got $75 from their neighbor in total.
Step-by-step explanation:
Please help me please
Answers
Answer:
5
Step-by-step explanation:
the prime factors of 90 are 2 × 3 × 3 × 5 or 2 × 32 × 5, where 2, 3 and 5 are the prime numbers.
Find the value of x to the nearest tenth
Answers
Answer:
Step-by-step explanation:
To fins this you need to find the other side. To do this you need to do 3 squared plus 5 squared and find the square root of the product. That is about 5.8.
Then you need to do 10 squared plus 5.8 squared, which is 133.6, then find the square root of that, which is 11.6 .
What is the surface area of the
rectangular prism below?
Answers
Answer: 476.88
Step-by-step explanation: length times width times height
Answer:
The answer is 476.88
Step-by-step explanation:
Given the system of equations, what is the solution?
x + 2y = 7
x - 2y = -1
A.) {(-4, 6)}
B.) {(-8, -12}
C.) {(3,2)}
Answers
9514 1404 393
Answer:
C.) (3, 2)
Step-by-step explanation:
The coefficients of y are opposites, so we can add the two equations to eliminate y.
(x +2y) +(x -2y) = (7) +(-1)
2x = 6 . . . . . simplify
x = 3 . . . . . . matches choice C
Figure ABCD is transformed to obtain figure A'B'C'D':
(pic is below)
Part A: Write the sequence of transformations that changes figure ABCD to figure A'B'C'D'. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer. (4 points)
No links please :)
if u dont know the answer dont answer please:)
Please dont just answer for points :(
Answers
Answer:
A. Reflection over the y axis and a translation 4 units down
B. Yes because glide reflections preserve side and angle measures.
In marketing, response modeling is a method for identifying customers most likely to respond to an advertisement. Suppose that in past campaigns 23.8% of customers identified as likely respondents did not respond to a nationwide direct marketing campaign. After making improvements to their model, a team of marketing analysts hoped that the proportion of customers identified as likely respondents who did not respond to a new campaign would decrease. The analysts selected a random sample of 1500 customers and found that 315 did not respond to the marketing campaign.
The marketing analysts want to use a one-sample z-test to see if the proportion of customers who did not respond to the advertising campaign, p, has decreased since they updated their model. They decide to use a significance level of α= 0.01.
Required:
a. Determine the value of the z-statistic. Give your answer precise to at least two decimal places.
b. Determine the p-value for this test. Give your answer precise to at least three decimal places.
Answers
Answer:
a) The value of the z-statistic is z = -2.55.
b) The p-value for this test is 0.0054.
Step-by-step explanation:
Suppose that in past campaigns 23.8% of customers identified as likely respondents did not respond to a nationwide direct marketing campaign. Test if this proportion has decreased:
This means that at the null hypothesis we test that if the proportion is still 0.238, that is:
[tex]H_0: p =0.238[/tex]
And at the alternate hypothesis we test if the proportion has decreased, that is:
[tex]H_a: p < 0.238[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.238 is tested at the null hypothesis:
This means that [tex]\mu = 0.238, \sigma = \sqrt{0.238*0.762}[/tex]
The analysts selected a random sample of 1500 customers and found that 315 did not respond to the marketing campaign.
This means that [tex]n = 1500, X = \frac{315}{1500} = 0.21[/tex]
a. Determine the value of the z-statistic. Give your answer precise to at least two decimal places.
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.21 - 0.238}{\frac{\sqrt{0.238*0.762}}{\sqrt{1500}}}[/tex]
[tex]z = -2.55[/tex]
The value of the z-statistic is z = -2.55.
b. Determine the p-value for this test. Give your answer precise to at least three decimal places.
The p-value of the test is the probability of finding a proportion below 0.21, which is the p-value of z = -2.55.
Looking at the z-table, z = -2.55 has a p-value of 0.0054
The p-value for this test is 0.0054.
Im on a girls basketball team , 3 are in sixth grade , 5 are in seventh grade , and 6 are in eighth grade . so which is the ratio of seventh graders to eighth graders on the team ?
Answers
Is this it I’m not sure
The table includes the size of roofs (x) and the cost to replace them (y). The summary points are (748, 7,048), (890, 8,385), and (1,001, 8,475).
Using approximate values for the slope and y-intercept, what is the linear model?
y =
A. 0.8
B. 5.6
C. 9.4
x +
A. -299.2
B. 3,043.2
C. 7,265.4
Answers
Answer:
5.6 and 3,043.2
Step-by-step explanation:
Help pls Show work if needed
Answers
Answer:
8a) false
8b) true
8c) true
8d) false
The angles shown below are supplementary:
What is the value of x?
BRAINLIEST
PLEASE HELP
SHOW WORK
Answers
Step-by-step explanation:
supplentary means they add to 180
so you can make the formula 180 = 10x + 80
then solve for x
Answer:
x = 10
Step-by-step explanation:
Supplementary angles add up to equal 180°
Thus, 10x + 80 = 180
Now that we have identified the equation we solve for x
10x + 80 = 180
step 1 subtract 80 from each side
80 - 80 cancels out
180 - 80 = 100
we now have 100 = 10x
step 2 divide each side by 10
100 / 10 = 10
10x / 10 = x
we're left with x = 10
The pie chart shows the results of a survey on
students' favourite subjects.
a What fraction of the students chose Science?
b 60 students chose Maths.
i How many students chose Languages?
ii How many students chose Other?
jii How many students took part in the survey?
Favourite subjects
380 1200
O Mathis
Languages
Science
Art
DOther
90° 42
sh
o
a
Answers
Answer:
Step-by-step explanation:
http://www.mrbartonmaths.com/resources/GCSE%20Revision/GCSE%20Maths%20Takeaway/2.%20Grade%20D/46.pdf
You can find it in this site
The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the
hypotenuse by the formula a2 + b2 = 2
If a is a rational number and b is a rational number, why could c be an irrational number?
Answers
Answer: I don't know stop cheating on your tests
Step-by-step explanation:
P
13pls answer and will mark brainliest
Answers
Answer:
Step-by-step explanation:
1.) 6
2.) A
3.)5
If you can help me with these 4 questions I'll give brainliest :))
Answers
Answer:
Mode: 86 ( a number that's repeated the most in the data set)
Range: 47 (Largest number subtracted by the smallest number in the data set)
Median: 56 (Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers)
Mean: 61 (The mean of a set of numbers is the sum divided by the number of terms).
Hope this helps!
A number is five less than twice another number
Answers
Answer:
n= 2x-5
Step-by-step explanation:
The Expression for the statement is x= 2y -5.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
A number is five less than twice another number.
let the number be x and the another be y.
So, the mathematical Expression is
five less than twice another number.
= 2y -5
So, the expression is
x= 2y -5.
Learn more about Expression here:
https://brainly.com/question/14083225
#SPJ2
please answer the question! i will give brainliest!!!!!!
Answers
Answer:
B because you multiply all the similar numbers together then at the end you add them all up.Step-by-step explanation:
A net of a triangular prism is shown below.
8 ft
3 ft
0 TO 900k
3ft -
5ft
explore
5 ft
re
What is the surface area, in square feet, of the triangular prism
Answers
Answer:
answer: its c 108
Step-by-step explanation:
for the rectangles I just did base x height for all of them and got 24, 32, and 40 then I do the two triangles for those its just base x height ÷ 2 So 4 x 3 = 12 then I divide that by 2 and get 6 but since there's two of those triangles I multiply by 2 and end up with twelve again then I add all of these numbers up so...
24 + 32 + 40 + 12 = 108 Hope this makes sense to you!
What is the area of the unshaded sector?
Answers
Answer:
56π units²
Step-by-step explanation:
area of entire circle = πr² = π8² = 64π
360° - 45° = 315°
(315/360)(64π) = 56π units²
Answer:56 square Units
Step-by-step explanation:
find the area of the figure
Answers
Answer:
25 yards squared
Step-by-step explanation:
Answer:
area =27
Step-by-step explanation:
The physician orders Keflex (cephalexin monohydrate) 0.5 g per NG tube q6h. Read the label and calculate the correct dosage.
Label reads : 250 mg per 5 mL
Answers
Answer:
100 mL
Step-by-step explanation:
0.5 x 1000 =500mg
250mg/5ml= 5mg per 1ml
500mg/x mL = 5mg/1ml
cross multiply
500=5mg XmL
=100mL
Which of the following is the reciprocal parent function?
A. F(x) = |x|
B. F(x) = 1/x
C. F(x) = -x2
D. Fx) = x + 1
Answers
Answer:B
Step-by-step explanation:
just took the test
Name that Circle Part!
Directions: Use the diagram to classify each circle part by clicking on, copy (ctrl+c) and pasting (ctrl+v) then dragging the appropriate part. Parts may be used more than once.
Answers
Answer:
Good luck
Step-by-step explanation:
Sorry I don´t understasnd
The circle parts with overline over them is line segment, such as LQ, the parts with angle sign are angle and part with curve over them is chord.
What are the Circle Parts?There are different parts of circle such as chord, radius, diameter, central angle, circumference etc.
In this provided problem, we have to name all the part of the circle shown in the figure.
In the figure,
P and X are the center.PN, PM, PQ are the radius of first circle and XR, XU, XY are the radius of second circle.MQ, QR, RN, NM are the chord of first circle and YW, WR, RU, UY are the chord of second circle.LM and UY are the secant and LQ is tangent.Thus, the circle parts with overline over them is line segment, such as LQ, the parts with angle sign are angle and part with curve over them is chord.
Learn more about the circle here;
https://brainly.com/question/14068861
#SPJ2
lf 9/28 of the students at Williards High school participate in after school sports activities, what fraction of the students do not participate in after school activities
Answers
Answer: 19/28
Step-by-step explanation:
9/28 participate, so that means that ? dont participate.
28/28 = 1 whole
28 - 9 = 19
so 19/28 students do not participate in after school activities.
) A quality control engineer is interested in estimating the proportion of defective items coming off a production line. In a sample of 200 items, 28 are defective. a) Find the 95% confidence interval for the proportion of defectives from this production line b) Interpret the results (the interval) you got
Answers
Step-by-step explanation:
Here are the solutions:
For the sample size of 300, with 27 defectives, the sample proportion is p-hat = 27/300 = 0.09.
For a 90% confidence interval of a proportion, use z = 1.645.
The limits of the interval are then:
Lower limit = p-hat - z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/300) = 0.0628
Upper limit = p-hat + z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/300) = 0.1172
The 90% confidence interval is then (0.0628, 0.1172)
For the larger sample, assuming that the same proportion of defectives is found (p-hat = 0.09), the new confidence interval would be:
Lower limit = p-hat - z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/20,000) = 0.0867
Upper limit = p-hat + z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/20,000) = 0.0933
In this case, the 90% confidence interval is (0.0867, 0.0933)
Thanks,
A quiz has 5 questions with answers that are either true or false. How many different combinations of answers are
possible?
Ο 10
Ο 16
Ο Ο Ο
25
Ο 32
Answers
Which of these data sets is symmetrical?
A. 1, 8, 15, 15, 22, 22, 22, 29, 29, 36, 43
B. 1, 8, 15, 22, 22, 22, 29,29, 29, 36, 43
c. 1, 8, 15, 15, 15, 22, 22, 22, 29, 36, 43
D. 1,1, 15, 15, 22, 22, 22, 29, 29, 36, 43
Answers
Answer:
B is the correct answer..