The product of Zx (x-4) is:
Zx2 - 4Zx
Explanation and Solution:
Multiply Zx to each term of the expression inside the parenthesis
Zx multiplied by x is equal to Zx2
Zx multiplied by -4 is equal to -4Zx,
Combining all the product, we have Zx2 - 4Zx as the answer.
PS. The x2 there is X squared
Which expressions are polynomials?
Select each correct answer.
x – 1
5x²-√x
6+p
8x-z³
Answer:
5x²-√x
Step-by-step explanation:
1)6 +p
2) x-1
3) 8x-z3
4) 5x²-√x --> has a root so it is not a polynomial
peter makes $6 per hour doing yard work plus $10 every house if pter does yard work for 6 houses and receives a paycheck for $210 how many hours did he work
After calculating Peter's earnings from working on 6 houses, the remaining amount from his total paycheck indicates that he worked for 25 hours at his hourly wage of $6.
To determine how many hours Peter worked when he received a paycheck for $210, we need to consider his earnings per house and his hourly wage. Peter makes $6 per hour for doing yard work plus $10 for every house he does work on.
First, we calculate the total earnings from the houses he worked on. Since he did yard work for 6 houses, we multiply 6 houses by $10 per house:
6 houses times $10 per house = $60
Now, subtract the total earnings from houses from his total paycheck to find out how much he earned from hourly wages:
$210 (total paycheck) - $60 (earnings from houses) = $150 (earnings from hourly wage)
$150 / $6 per hour = 25 hours
So, Peter worked 25 hours doing yard work.
What is the recursive rule for the sequence? −7.4, −21.2, −35, −48.8, −62.6
Answer:
[tex]a_n = a_{n-1}-13.8[/tex]
Step-by-step explanation:
The recursive rule for the arithmetic sequence is given by:
[tex]a_n = a_{n-1}+d[/tex] .....[1]
where, d is the common difference of two consecutive terms.
Given the sequence:
−7.4, −21.2, −35, −48.8, −62.6
This is an arithmetic sequence
Here, first term[tex](a_1)[/tex] = -7.4 and d = -13.8
Since,
-21.2+7.4 = -13.8,
-35+21.2 = -13.8 ans so on...
Substitute the given value in [1] we have;
[tex]a_n = a_{n-1}+(-13.8)[/tex]
⇒[tex]a_n = a_{n-1}-13.8[/tex]
Therefore, the recursive rule for the sequence is, [tex]a_n = a_{n-1}-13.8[/tex] and [tex]a_1[/tex]= -7.4
The recursive rule for the sequence is [tex]\rm a_{n} = a_{n-1} -13.8[/tex] and [tex]\rm a_{1}[/tex] = -7.4.
What is the recursive rule?The recursive rule refers to the first term of the sequence and describe
the relation to the preceding term with the recursive equation.
The recursive formula for the arithmetic sequence is as follows
[tex]\rm a_{n} = a_{n-1} + d[/tex]
where [tex]\rm a_{n}[/tex] is the nth term and d is a common difference
The arithmetic sequence is given as
−7.4, −21.2, −35, −48.8, −62.6
[tex]\rm a_{1}[/tex] = -7.4 (first term)
d = -21.2+7.4 = -13.8,
d = -35+21.2 = -13.8
Substitute the given value, we get
[tex]\rm a_{n} = a_{n-1} + d[/tex]
[tex]\rm a_{n} = a_{n-1} -13.8[/tex]
Hence, the recursive rule for the sequence is [tex]\rm a_{n} = a_{n-1} -13.8[/tex] and [tex]\rm a_{1}[/tex] = -7.4.
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HELP FAST PLEASE!!
Martin simplified the composed function f(x)=sin(arctan x). His work is shown below. Step 1: f(x)=sinA, where A=arctan x and x = tanA
Step 2: tanA= opp/adj=x/1
Step 3: hypotenuse= square root of 1^2-x^2= square root of 1-x^2
Step 4: sinA=opp/hyp=x/squareroot 1-x^2
In which step did Martin make is first error?
Check my answer?
Given the proportion a/b = 8/15, which ratio completes the equivalent proportion a/8 = ?
My answer: 15/b
@KirbyLegs
Before you make any payments to the organization handling your DMP (debt management plan) what should you do?
Answer:
" A DMP allows you to deposit a set amount of money with a credit counseling organization each month, which is then strategically dispersed to your various creditors "
" DMPs are designed to help consumers work off their debt as quickly as possible by leaving these decisions largely to credit counseling professionals "
Before sending monthly payments to the organization handling your DMP, confirm with your creditors that they have in fact accepted the plan.
Before you make any payments to the organization handling your DMP (debt management plan) you should confirm with your creditors that they have accepted the plan.
What is Debt Management Plan?A Debt Management Plan is a laid-out framework for settling debts that is coordinated by a credit counseling organization. A certain amount of money is deposited with these organizations that help the debtor to offset his bills in a strategic manner.
So, before making any payments to the organization handling your DMP (debt management plan) you should confirm with your creditors that the plan for repayment is acceptable by them.
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15 points and brainliest for CORRECT answer.
Given: ABCD is a trapezoid,
AD = 10, BC = 8,
CK - altitude
Area of ∆ACD = 30.
Find: Area of ABCD
Determine if x + 2 is a factor of p(x) = x ^4 + 3x^ 3 + 4x ^2 - 8 and explain why.
Answer:
(x+2) is a factor of P(x)
Step-by-step explanation:
Determine if x + 2 is a factor of p(x) = x ^4 + 3x^ 3 + 4x ^2 - 8
[tex]p(x) = x ^4 + 3x^ 3 + 4x ^2 - 8[/tex]
To determine (x+2) is a factor , we set x+2=0 and solve for x
[tex]x+2=0 , x=-2[/tex]
then we replace x with -2 in p(x)
[tex]p(x) = x^4 + 3x^ 3 + 4x ^2 - 8[/tex]
[tex]p(-2) = (-2)^4 + 3(-2)^ 3 + 4(-2)^2 - 8[/tex]
[tex]p(-2) = 16-24+16- 8=0[/tex]
WE got p(-2)=0 , so (x+2) is a factor of P(x)
Elizabeth has two gardens in her yard. The first garden is 8 feet long and 6 feet wide. The second garden is half the length of the first garden. the area of the second garden is twice the area of the first garden. What is the area of the second garden?
Answer:
the answer is B: 128 divided by 8 equals 16
Step-by-step explanation:I know this becasue to check ur answer after doing multiplication you must do division
multiplication-->division
division-->multiplication
subtraction-->addition
addition-->subtraction
Kendra watched two movies. The first lasted 100 min. the second lasted 1 hour, 55 min. Which movie was longer? By how many min.?
Someone please help me with this, i'm a little confused :(
A guy-wire is attached to a pole for support. If the angle of elevation to the pole is 67 and the wire is attached to the ground at a point 137 feet from the base of the pole, what is the length of the guy wire (round to 2 decimal places)?
A) 58.15 feet
B) 143.40 feet
C) 148.83 feet
D) 350.62 feet
Brainliest + 15 points. Help please? Who's up for the challenge?
If 2a+3b=12 and ab=6 find the value of 8a^3+27b^3
What is the area of a square with sides that are 3 2/5 in long?
I have a math Brainliest reward
PLEASE HELPPPPPP
Photo necessities produces camera cases. They have found that the cost , c (x) of making x camera cases is a quadratic function in terms of x.
The company also discovered that it cost $45 to produce 3 camera cases $257 to produce 7 camera cases and $792 to produce 12 camera cases.
Find the total cost producing 1 camera case
The total cost producing 1 camera case is:
$ 11
Step-by-step explanation:Let the quadratic function be:
[tex]c(x)=ax^2+bx+c[/tex]
Now, c(3)=45
This means:
[tex]9a+3b+c=45------------(1)[/tex]
c(7)=257
This means that:
[tex]49a+7b+c=257----------------(2)[/tex]
and c(12)=792
This imply:
[tex]144a+12b+c=792-------------------(3)[/tex]
On subtracting first equation from second we get:
[tex]40a+4b=212------------(4)[/tex]
and on subtracting second equation from third we get:
[tex]95a+5b=535-----------(5)[/tex]
Now on multiplying equation (4) by 5 and equation (5) by 4 and subtracting both equation we get:
a=6
Putting value of a in equation (4) we get:
b= -7
and putting the value of a and b in equation (1) we get:
c=12
Hence, the cost function is:
[tex]c(x)=6x^2-7x+12[/tex]
Now, the cost of producing 1 camera will be the value of c(x) when x=1
i.e.
[tex]c(1)=6-7+12\\\\\\c(1)=11[/tex]
Hence, the answer is:
$ 11
2. Given the equation 2x – 3y + 4z =12, find the three intercepts for this plane and graph it below. Show your work. Please view the video “how to submit a part 2” for help on how to graph. (2 point for each intercept, 3 for the graph.) Answer:
“Lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?”
To solve the problem we will first name all the points given to us, and then we will find ∠O, and then we will find the value of x.
The value of x is 22°.
Given to us
∠OAB = 56°
Looking at the diagram below,
In ΔAOB
OA = OB = R, the radius of the circle O,
therefore, the ΔAOB is an isosceles triangle, with OA, OB as the congruent sides and AB as the base of the triangle.
Thus, ∠OAB = ∠OBA = 56°
What is the sum of all the angles of a triangle?Sum of all the angles of a triangle = 180°
∠O + ∠AOB + ∠OBA = 180°
We know ∠AOB = ∠OBA, therefore,
∠O + 2(∠AOB) = 180°
∠O + 2(56°) = 180°
∠O = 68°,
In ΔOBC,
BC is the tangent to the circle O, therefore,
∠OBC = 90°
Sum of all the angles of a triangle = 180°
∠O + ∠OBC + ∠OCB = 180°
68° + 90° + ∠OCB = 180°
∠OCB = 180° - 68° - 90°
∠OCB = 22°
Hence, the value of x is 22°.
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Please help!! I’ll mark you as brainliest
Why is the standard deviation preferable to the range as a measure of variation? select the correct answer below.
a. the standard deviation is preferable to the range as a measure of variation because the standard deviation takes into account all of the observations, whereas the range considers only the largest and smallest ones.
b. the standard deviation is preferable to the range as a measure of variation because the standard deviation is resistant to outliers, whereas the range is not.
c. the standard deviation is preferable to the range as a measure of variation because it is optimal when the median is used as the center of measure.
d. the standard deviation is preferable to the range as a measure of variation because the standard deviation is always smaller than the range?
Answer:
Option a is right.
Step-by-step explanation:
Both standard deviation and range are used as measures of dispersion. These show the deviations of the data within.
While range is maximum -minimum, the std deviation is the square root of variance and variance is the average of the sum of squares of each entry from the mean.
While range depends only on max and min the std deviation depends on each entry of the sample. Hence std deviation is a better measure.
a. the standard deviation is preferable to the range as a measure of variation because the standard deviation takes into account all of the observations, whereas the range considers only the largest and smallest ones.
Find the missing value to the nearest hundredth cos___= 7/18
The missing value to the nearest hundredth using inverse trigonometric function is 67.11°
Let us say
Cos x = 7/18
x will be the inverse of cosine of (7/18)
What is an inverse trigonometric function?The inverse trigonometric functions are the inverse functions of the trigonometric functions and are used to obtain an angle from any of the angle's trigonometric ratios.
x = cos⁻¹ (7/18)
x = 67.11°
Hence, the missing value to the nearest hundredth is 67.11°.
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Di sediakan angka 4,5,6,7,8 dan huruf e,s,
f. Bila tidak boleh ada angka dan huruf yg sama, maka banyaknya.plat nomer yg dapat dibuat adalah
Tyler has a rectangular garden that measures 10 m wide by 13 m long. he wants to increase the area to 208 m2 by increasing the width and length by the same amount. what will be the length (longer dimension) of the new garden?
a. 14 m wide
b. 15 m wide
c. 16 m wide
d. 17 m wide
What is the value of p?
A. 45
B. 35
C. 55
D. 125
wouldn’t it be 35?
Answer:
35
Step-by-step explanation:
(sorry for bad image. I use OperaGX)
Which of the following statements best describes the graph of x + y = 4?
It is a line which intersects the x-axis at (4, 4).
It is a line which intersects the y-axis at (4, 4).
It is a line joining the points whose x- and y-coordinates add up to 8.
It is a line joining the points whose x- and y-coordinates add up to 4.
Carol payed 271$ to rent a car for 4 days. What was the rate, r, per day to rent the car
maya has 15 stickers . she places them on a page in rows of 5 . there are 2 flowers and 3 hearts in each row . how many hearts are on the page ? Draw to solve the problem . Write how many hearts are on the page
Question 8 (06.02 LC)
Which statement best describes the expression 2y ÷ 7?
A. 2 times y divided by 7
B. 7 divided by 2 times y
C. 7 times y divided by 2
D. 2 divided by 7 times y
Question 9 (06.06 LC)
Which algebraic property is used to rewrite 2(x + 3) as 2x + 6?
A. Distributive property
B. Associative property
C. Commutative property of addition
D. Commutative property of multiplication
Question 10 (06.02 LC)
Which of these is the algebraic expression for "5 times the sum of 2 and y?"
A. 5 ⋅ 2 + y
B. 2 + 5 ⋅ y
C. 2(5 + y)
D. 5(2 + y)
Answer:
A
Step-by-step explanation:
1. Sketch and/or explain the evidence you created for the Pythagorean Theorem. Be sure to explain how each part related to the Pythagorean Theorem.
Answer:
u see the formula for the Pythagorean theorem is a^2 + b^2 = c^2 i hope this helps please mark as brainliest have a good day!!! :D Bye
Step-by-step explanation:
A rugby player passes the ball 7.75 m across the field, where it is caught at the same height as it left his hand. At what angle was the ball thrown if its initial speed was 12.0 m/s, assuming that the smaller of the two possible angles was used?
The smaller of the two possible angles used is;
θ = 15.92°.
We are given;
Range of pass; R = 7.75 m
Speed; u = 12 m/s
Formula for range is;
R = [u²sin (2θ)]/g
Where; θ is the angle at which the ball was thrown.
Thus;
7.75 = 12² × (sin(2θ))/9.8
(sin(2θ)) = (7.75 × 9.8)/12²
(sin(2θ)) = 0.5274
2θ = sin^(0.5274)
2θ = 31.83
θ = 31.83/2
θ = 15.92°
Now, if we assume that this angle is to the vertical, it means the angle to the horizontal is;
90 - 15.92 = 74.08°
In conclusion, the two possible angles are 15.92° and 74.08°.
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