Answer:
Undermentioned explanation, similarity & dissimilarity between long division & multiplication of polynomials
Step-by-step explanation:
Long Division of Polynomial steps :
Complete missing terms in divisor with zero coefficients, sort terms in decreasing exponential order
Divide leading term, multiply divisor x quotient, subtract partial product & carry down remainder ............ (continue same)
Multiplication of Polynomial steps :
Multiply the 1st, 2nd, 3rd term(s) in the first polynomial with 1st, 2nd, 3rd consecutive term(s) in the second polynomial........... (go on)
Similarity (ies) : Both involve term by term treatment, multiplying monomial & polynomial
Dissimilarity (ies) : Division includes subtracting of exponential power. However, multiplication includes adding of exponential power
Solve the equation (show work if possible)
Answer:
-10 is right answer
Step-by-step explanation:
see in attached picture
hope it helped you:)
Answer:
[tex] \frac{r}{2} + 2 = - 3[/tex]
[tex] = ) \frac{r + 4}{2} = - 3[/tex]
[tex] = )r + 4 = - 6[/tex]
[tex] = )r \: = - 6 - 4[/tex]
[tex] = )r \: = - 10[/tex]
convert 2.16161616 to a rational number in the form of a/b
Answer:
[tex]\frac{214}{99}[/tex]
Step-by-step explanation:
We require to create 2 equations with the repeating digits after the decimal point. Then by subtracting them we eliminate the repeating part.
let x = 2.1616.... → (1)) ← multiply both sides by 100
100x = 216.1616..... → (2)
Subtract (1) from (2)
99x = 214 ( divide both sides by 99 )
x = [tex]\frac{214}{99}[/tex]
A sample of 100 consumers shows that the average amount spent annually on a debit card is $8000. And assume that the population standard deviation of debit card expenditure is $500. Construct a 95% confidence interval of the population mean amount spent annually on a debit card.
Answer:
The confidence interval is ($7902, $8098)
Step-by-step explanation:
The formula for confidence interval of a normal distribution is given as:
Confidence Interval = μ ± z × σ/√n
Where:
μ is the mean amount spent annually = $8,000
σ is the standard deviation = 500
n is the number of samples = 100 customers
z = 95% confidence interval = 1.96
Confidence Interval = $8000 ± 1.96 ×500√100
= $8000 ± 1.96 × 500/10
Confidence Interval = $8000 ± 1.96 × 50
= $8000 ± 98
= $8000 - 98 = $7902
= $8,000 + 98 = $8098
Therefore, the 95% confidence interval of the population mean amount spent annually on a debit card = ($7902, $8098)
Help please, 1-8n-8= -7n-6n-12?
Answer:
[tex]\Huge \boxed{n=-1}[/tex]
Step-by-step explanation:
[tex]1-8n-8= -7n-6n-12[/tex]
Combining like terms.
[tex]-8n-7= -13n-12[/tex]
Adding 13n and 7 to both sides.
[tex]-8n+13n=-12+7[/tex]
[tex]-5n=5[/tex]
Dividing both sides by -5.
[tex]n=-1[/tex]
Kristen has an area of 70 square feel for a flower garden she plants 5 varieties of flowers equally in her garden which ratio shows the square feel per flower type
Answer:
Each flower type area ratio = 14 ft²
Step-by-step explanation:
Given:
Total area = 70 ft²
Total equal varieties = 5
Find:
Each flower type area ratio
Computation:
There is 5 equal part of land
So,
Ratio = 1:1:1:1:1
Assume each part cover = x
So
Total area = 5x
5x = 70 ft²
x = 14 ft²
Each flower type area ratio = 14 ft²
g) 145
Let's convert each of the following binary numbers into decimal number
a) 11, b) 101, c) 110 d) 1010
e) 1100
f) 10010,
g) 11111, h) 111010, i) 111001, 1 1100101
5. Let's convert each of the following decimal numbers into binary numbers.
a) 7
b) 18
c) 25
d) 72
e) 99
f) 124
h) 216 i) 308
i) 417
6. Let's convert each of the following quinary numbers into decimal numbers.
a) 13.
b) 24, c) 32
e) 203,
f) 340,
g) 1203, h) 2113 i) 1234, i) 4444
7. Let's convert each of the following decimal numbers into quinary numbers.
a) 9
b) 13
c) 27
e) 126
f) 212
h) 670 i) 1126 1 4025
d) 120,
d) 55
g) 512
Answer:
To convert binary into decimal, multiply each binary digit with a power of 2 corresponding to its position.
So for example 1010 would be 1·2³ + 0·2² + 1·2¹ + 0·2⁰ = 8+2 = 10 in decimal.
now you can calculate the answers yourself!
To convert decimal into binary, you can use the following approach:
Write down the answer from right to left
A. if your number is odd, write down a 1, if it is even, write a 0
B. divide the number by 2 and round down, ie. discard any decimals (e.g., 7 / 2 = 3)
C. repeat step A until your number is 0.
example:
18 -> write down 0
18/2 = 9 -> write down 1
9/2 = 4 -> write down 0
4/2 = 2 -> write down 0
2/2 = 1 -> write down 1
1/2 = 0 finished
The result is 10010.
Question 2 (10 points)
(01.03 MC)
A plane can fly 11 miles per minute. The plane will fly 6 trips, and each trip is 500 miles. How many hours will the plane fly?
Answer:
4hrs 33mins
Step-by-step explanation:Speed = 11m/min
Total distance=500miles*6=3000miles
Total time= 3000miles/11m/min=273minutes = 4hrs 33mins
The lengths of a certain species of fish were found to be normally distributed. The mean length is 73 cm with a standard deviation of 8 cm. In a school of 480 of these fish, about how many would be longer than 57 cm?
Answer:
251
Step-by-step explanation:
Given - Mean length of fish = μ= 73 cm
SD σ =8 c m
Number of fish having a length greater than 57 cm out of 480.
Find the value of z at x = 57
[tex]z= \frac{x-\mu}{\sigma} = \frac{57-73}{8}\\=\frac{-16}{8} = -2[/tex]
Area between z = − 2 and z = ∞
= Area between z = − 1 and z = 0 +
Area between z = 0 and z = ∞
=0.02275+0.5= 0.52275
Therefore number of fish having teeth greater than 57 cm
= 0.52275*480 = 5.2275*48 = 250.92 ≅251
Anyone know the answer to this, will mark as brainlist
Answer:
15
Step-by-step explanation:
adding 15 black beads gives you 16 black beads and 4 white beads
16/4 =4/1 or 4:1
What is the power
property of exponents?
Ques 1 : Simplify the following 2*2 42128 33+23 16+3 416 89 * 73 315- 216
Answer:4,42128,56,19,416,6497,99
Step-by-step explanation:
how does the value of the 9 in 857.9 differ from the value of 9 in 798.21
Step-by-step explanation: The 9 in 857.9 differs from the value of 9 in 798.21 because in 857.9, the 9 is in the tenths place, while in 798.21, it is in the tens place.
please help asap! Which of the following statements is not true?(1 point) Every real number is also a complex number. For a complex number written in the form a+bi, the value of a is called the real part of the complex number. A complex number is a number that can be written in the form a+bi where a and b are real numbers. In order for a+bi to be a complex number, b must be nonzero.
Answer:
last statement is false
Step-by-step explanation:
help me pwease!!!!!!!!!
Domain is [tex]0 \le x \le 12[/tex]
Range is [tex]0 \le y \le 900[/tex]
============================
Explanation:
The smallest x can be is x = 0. The largest x can be is x = 12. This is shown as the left-most and right-most values of the graph. We could have x be anything between 0 and 12, including both endpoints, so we say the domain is [tex]0 \le x \le 12[/tex]. Recall the domain is the set of all allowed x inputs of a function.
---------------------
The range is the set of all possible y outputs. The smallest y output possible is y = 0, and the largest is y = 900. The range is therefore [tex]0 \le y \le 900[/tex] meaning y is between 0 and 900, including both endpoints.
Both domain and range endpoints happen to be at the x and y intercepts. This won't always be the case.
Please explain step-by-step.
What is 40% of 60?
40 x 60 / 100 and you get 24.
each 20% is 12
CA-Algebra 1 (S1 20-21)
Creating a Situation for a Graph
Janelle's Trip Home
Based on the graph, which statement could describe
Janelle's trip home from school?
O Janelle waited for the bus, rode the bus, and then
walked home
Distance from Home (mi)
O Janelle walked the opposite direction from home to
the library, rode the bus, and then walked to a
friend's house.
O Janelle walked home at a constant speed.
O Janelle rode the bus to the bus stop, talked with a
friend, and then walked home.
Time (min)
US 17:28
ivity
Answer: She rode the bus to the bus stop talked with a friend and then walked home.
Answer: D
Step-by-step explanation:
Answer:
Janelle rode the bus to the bus stop, talked with a friend, and then walked home.
Write each polynomial in standard form. identify the leading coefficient.
Kyle lives in a state that has 6% sales tax. If c represents the cost of an item and t represents the sales tax on the item, which equation expresses the relationship between these two variables
Answer:
t = 0.06c
Step-by-step explanation:
Given the following :
Percentage sales tax on items = 6%
Cost of item = c
Amount of sales tax on item = t
Amount of sales tax is the product of the sales tax percentage and the cost of item purchased
Hence, Amount of sales tax;
t = 6% × cost of item (c)
t = 0.06 × c
t = 0.06c
What scale factor would make circle A the same size as circle B? 1) The radius of circle A is 2 cm and the radius of circle B is 12 cm. 2) The radius of circle A is 4 cm and the radius of circle B is 3 cm. 3) The diameter of circle A is 20 cm and the radius of circle B is 5 cm. 4) The radius of circle A is 4 cm and the diameter of circle B is 20 cm.
Step-by-step explanation:
1) area of B = [tex]\pi r^{2}[/tex] = [tex]\pi* 12^{2}[/tex] = 452.4 cm^2
area of A is = [tex]\pi r^{2}[/tex] = [tex]\pi* 2^{2}[/tex] = 12.6 cm^2
A will be scaled 452.4/12.6 = 36 times
using the same method we can say that
2) 0.56 times
3) 0.063 times
4) 6.25 times
Answer:
Step-by-step explanation:
Area of circle = πr²
The scale factor A:B is as follow
1) 2:3
2) 16:9
3) 25:4
4) 4:25
What is the value of 12 (8 + 9)?
Answer:
204
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Parenthesis
12(17)
Step 2: Multiply
204
Answer: 204
Step-by-step explanation: Following your order of operations, you should simplify what's inside the parenthses first. So (8 + 9) simplifies to 17.
Bring down your 12 and you have 12(17) which equals 204.
Which of the following is a like radical to RootIndex 3 StartRoot 6 x squared EndRoot? x (RootIndex 3 StartRoot 6 x EndRoot) 6 (RootIndex 3 StartRoot x squared EndRoot) 4 (RootIndex 3 StartRoot 6 x squared EndRoot) x (RootIndex 3 StartRoot 6 EndRoot)
Answer:
4 (RootIndex 3 StartRoot 6 x squared EndRoot) = 4[tex]\sqrt[3]{6x^2}[/tex]
Step-by-step explanation:
Added radical forms to the question for better visibility.Which of the following is a like radical to RootIndex 3 StartRoot 6 x squared EndRoot = [tex]\sqrt[3]{6x^2}[/tex] ?
x (RootIndex 3 StartRoot 6 x EndRoot) = x[tex]\sqrt[3]{6x}[/tex] 6 (RootIndex 3 StartRoot x squared EndRoot) = 6[tex]\sqrt[3]{x^2}[/tex] 4 (RootIndex 3 StartRoot 6 x squared EndRoot) = 4[tex]\sqrt[3]{6x^2}[/tex] x (RootIndex 3 StartRoot 6 EndRoot) = x[tex]\sqrt[3]{6}[/tex]SolutionLike radicals are radicals that have the same root number and expression under the root.1) x[tex]\sqrt[3]{6x}[/tex] = [tex]\sqrt[3]{6x^4}[/tex]
No, incorrect2) 6[tex]\sqrt[3]{x^2}[/tex] = [tex]\sqrt[3]{6^3x}[/tex]
No, incorrect3) 4[tex]\sqrt[3]{6x^2}[/tex]
Yes, correct4) x[tex]\sqrt[3]{6}[/tex] = [tex]\sqrt[3]{6x^3}[/tex]
No, incorrectCompared with the given radical, we can see from the given choices only 3rd choice is like radical with [tex]\sqrt[3]{6x^2}[/tex]
Answer:
c
Step-by-step explanation:
i just did it
Find the area of the circle if the circumference is 6π inches.
Answer:
Area = Pi x Radius^2
Diameter = Circumference / Pi
= 6Pi / Pi
= 6
Radius = Diameter / 2
= 6 / 2
= 3
Area = Pi x 3^2
= 9Pi square units.
Step-by-step explanation:
Hey there! I'm happy to help!
To find the area, we square the radius and multiply it by π.
We have the circumference. The circumference is the diameter multiplied by π. Since the circumference is 6π, the diameter is 6.
The radius half of the diameter, so it is 3.
Now, we find the area.
We square 3
3²=9
And we multiply by π, so our area is 9π inches squared.
Have a wonderful day! :D
Find the area of the polygon with the given vertices. J(-3,4), K(4,4), L(3,-3)
Answer:
A = 24.5 square unitsStep-by-step explanation:
[tex]J(-3,\,4)\ \ \implies\ y_J=4\\\\K(4,\,4)\ \ \implies\ y_K=4\\\\y_K=y_J\ \ \implies\ JK\parallel X{-}axis\ \implies\ H=|y_L-y_K|\quad\ \{for\ JK=base\}\\\\H=|-3-4|=|-7|=7\\\\\\ JK\parallel X{-}axis\ \implies\ B=JK=|x_J-x_K|=|-3-4|=7\\\\\\A=\frac12BH\\\\A=\frac12\cdot7\cdot7=24.5[/tex]
A cubic polynomial can have atmost
---zeros
Answer:
3Step-by-step explanation:
Any polynomial can only have as many zeros as is the highest exponent at x.
A cubic polynomial it's: ax³+bx²+cx+d. The highest exponent at x is 3 so it is the largest number of its zeros.
Which of the following is equivalent to 2x2 + 9x + 9?
(x - 3)(2x - 3)
(x + 3)(2x + 3)
(x - 9)(2x - 1)
(x + 9)(2x + 1)
Answer:
(x+3)(2x+3)
Step-by-step explanation:
Factor:
2x^2+9x+9
=(2x+3)(x+3)
Answer:
(x + 3)(2x + 3)
Step-by-step explanation:
Sum = 9
Product = 2*9 = 18
Factors = 6 ,3
2x² + 9x + 9 = 2x² + 6x + 3x + 3 * 3
= 2x ( x + 3) + 3( x + 3)
= (x +3)(2x + 3)
The simplest form of
[tex]4 \sqrt{576} [/tex]
Answer:
96.
sqrt(576) is 24.
And 24 x 4 = 96.
Hope this helps!
96
Step-by-step explanation:4√576 =
= 4√2⁶ₓ3²
= 4√(2³)²ₓ3²
= 4ₓ8ₓ3
= 32ₓ3
= 96
What do the expression (3³) and (3⁴) have in common?
Answer:
Both terms have the same base.
Step-by-step explanation:
While they share the same base, 3, their powers differ (one to the cube, and the other to the quartic).
━━━━━━━☆☆━━━━━━━
▹ Answer
Both of them have the same base.
▹ Step-by-Step Explanation
The exponential quantity differs, but 3³ and 3⁴ both have the same base number of 3.
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Estimate the median number of texts sent per day by this group of middle school students.
Answer:
33 i think
Step-by-step explanation:
Answer:
49.5 texts
Step-by-step explanation:
The total number of students is
11+21+33+23+12 = 100
The middle is 50
150 is in the middle group
The median will be between 40 -59
The best estimate for the median is to add the 40+59 and divide by 2
(40+59)/2 = 99/2 = 49.5 texts
Given that point A is the midpoint of line segment ED, where E( -1,9) and A(4,5), what is the location of point D?
Answer:
D(9, 1)
Step-by-step explanation:
A being the midpoint means its coordinates satisfy ...
A = (E + D)/2
Solving for D, we find ...
D = 2A -E
= 2(4, 5) -(-1, 9) = (2·4 +1, 2·5 -9)
D = (9, 1)
Which are the coordinates of the x-intercept in the equation −4x+5y=20 ?
Answer: (-5,0)
Step-by-step explanation:
-4x + 5y = 20 the x intercept is when y is zero so input zero into the equation and solve for x.
-4x + 5(0) = 20
-4x = 20
x = -5