Answer:
x^2+13x+40 remainder 7. (or 7/(1-5))
Step-by-step explanation:
Answer:
x² + 13x + 40 + [tex]\frac{7}{x-5}[/tex]
Step-by-step explanation:
Using Synthetic division
dividing by ( x - 5) , thus use h = 5
5 | 1 8 - 25 - 193
↓ 5 65 200
+ + +
---------------------------------
1 13 40 7 ← remainder
quotient = x² + 13x + 40
Thus
[tex]\frac{x^3+8x^2-25x-193}{x-5}[/tex] = x² + 13x + 40 + [tex]\frac{7}{x-5}[/tex]
9. In the diagram below of rectangle RSTU, diagonals RT and SU intersect
at O. If RT = 6x + 4 and SO = 7x - 6, what is the length of US?
Your Answer should be 16
Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].
What is the diagonal?
A polygon is defined as a flat or plane, two-dimensional closed shape bounded with straight sides.
A diagonal is a line segment connecting the opposite vertices (or corners) of a polygon. In other words, a diagonal is a line segment connecting two non-adjacent vertices of a polygon.
Here given that,
In the diagram below of rectangle [tex]RSTU[/tex], diagonals [tex]RT[/tex] and [tex]SU[/tex] intersect
at [tex]O[/tex]. If [tex]RT = 6x + 4[/tex] and [tex]SO = 7x - 6[/tex],
[tex]US=SO(2)\\\\US=7x-6(2)\\\\US=14x-12[/tex]
So,
[tex]6x+4=14x-12\\\\4+12=14x-6x\\\\16=8x\\\\x=\frac{!6}{8}\\\\x=2[/tex]
Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].
To know more about the diagonals
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Write the slope-intercept form of the equation of each line given the slope and y-intercept.
Slope: 1/2 , y-intercept=3
What is 5654554 + 5544527?
Answer:
11,199,081
Step-by-step explanation:
Hope this helped, have a great day! ;D
Part B: You can also find the standard deviation for the binomial probability distribution of a specific outcome in a binomial experiment. Use the formula to find the standard deviation. You've already identified n and p in Part A. Show your work, and round your answer to two decimal places.
Answer:
Mean = np + n(n-1)p²
Standard Deviation= √ σ² = √npq
Step-by-step explanation:
The m.g.f of the binomial probability distribution b(x;n,p) is derived as below.
M₀t = E (e)^tx
= ∑(e)^tx (nCx) (p)^x q^(n-x) { x varies from 0 to n}
= ∑(e)^tx (nCx) (pe^t)^x q^(n-x)
= (q +pe^t)^n
The expansion of this binomial is purely algebraic and need not to be interpreted in terms of probabilities.
WE get the moments by differentiating M₀(t) once, twice, etc. with respect to t and putting t=0
Thus
μ₁` = E(X) = [ d/dt (q +pe^t)^n] t=0
= [ npe^t (q +pe^t)^n-1] t=0
= np
And
μ₂` = E(X²) = [ d²/dt² (q +pe^t)^n] t=0
= [ npe^t (q +pe^t)^n-1] + [ n(n-1)p²e^²t (q +pe^t)^n-2] t=0
= np + n(n-1)p²
Variance= μ₂= μ₂` - μ₁`²
σ² =E(X²)- E(X)²
σ² =np + n(n-1)p²- (np )²
σ² =npq
Standard Deviation= √ σ² = √npq
Use the quadratic model y = −4x2 − 3x + 4 to predict y if x equals 5.
Answer:
-111
Step-by-step explanation:
substitute 5 in place of each x
-4(5)^2 - 3(5) + 4
then evaluate or type it into your calculator
-100 - 15 + 4
Answer:
It is -111
Step-by-step explanation:
Hope this helped have an amazing day!
A common factor for two numbers is one that is a divisor of each of
the two numbers. What is the greatest common factor of 24 and 36?
Answer:
The answer is 12.
Step-by-step explanation:
Please mark as Brainliest, this is the right answer
please help with the question and explanation for the answer, please
Answer:
B
Step-by-step explanation:
to find the percentage, put 200 (electricity and cable) over 2500 (monthly budget) and multiply it by 100. So 200/2500 * 100/1. Hope that helps
PLEASE HELP!!QUICK! in 3 years ,a gyms membership went up from 6,400 to 8,400.which expression shows how to find the percent of increase?
A.2,000 divide by 8,400
B.2,000 divide by 6,400
C.6,400 divide by 2,000
answer this please !!!!!
find the equation for the line
Answer:
y = 1/2x + 1.5
Step-by-step explanation:
first find the slope and then put it in y= x+b
you can see that to get from (-1,1) to (1,2) you must go up one and over two
slope is = rise over run --> rise 1 and run 2
the b is were it hit threw the y intercept
Sophia spent $75.00 of her $225.00 paycheck on new shoes. What percent of her paycheck did she spend on the new pair of shoes?
Your answer:
if you do solve please make an explanation :)
Answer:
33.33%
Step-by-step explanation:
75*100=7500
7500/225=33.3333333
what is the branch of mathematics that uses variables, numbers and operations.
Answer:
Step-by-step explanation:
Algebra is a branch of mathematics that uses mathematical statements to describe relationships between things that vary. These variables include things like the relationship between the supply of an object and its price.
Answer:
Algebra
Step-by-step explanation:
This is because the branch of mathematics that uses variables, numbers, and operations is called algebra.
Crystal's gym membership costs $48 a month. Which table shows the sum of the
amounts that Crystal will pay for her gym membership over the next 4 months?
Answer:
it will cost 240$ dollars to pay for 5 month
Step-by-step explanation:
PLZ GIVE ME BRAINLEST
What is the slope of the line through (0,5) and (-2, -1)? Please help.
At a butchers hosp, Hilda bought beef and pork. She left with 18 and 8/25 pounds of meat. Express the number of pounds of pork she bought using a decimal.
I'm not sure if I mis-read or something.. How am I supposed to find the pounds of pork if there isn't any info about how much beef she bought. Am I doing something wrong? If so, what is the answer?
Answer:
18.32
Step-by-step explanation:
convert the fraction 8/25 to the decimal .32 and add 18
a group of fifth graders collected 46 cans of food to donate to three food banks. If each food bank is get an equal number of cans, how many cans do the each receive
Answer:
about 15.3.
Step-by-step explanation:
46 divided by 3. ig
Last year's cost, c, of a water park season pass increased 35%. The expression C+0.35c can be used to represent the increased price of a season pass. What is another expression that can be used to find the the new cost of a season pass?
Answer:
c+35/100c
Step-by-step explanation:
If all people were pea pickers, then how long would it take for the entire population of Earth to pick 1 mol of peas at the rate of one pea per second, working 15 hours per day, 365 days per year
It will take [tex] 1.392 \times {10}^{10} \: years[/tex] for the entire population of the Earth to pick a mole of pea at the specified rate.
1 mole of a substance is given by :
[tex]6.022 \times {10}^{23} [/tex]Rate per person = 1 pea per secondWorking 15 hours per day ; 365 days per year
1 person will pick = (1 × 365 × 15) = 5475 peas per year Taking the world population as 7,900,000,000 people Number of peas picked per year = (7,900,000,000 × 5475) = 43252500000000The time taken to pick 1 mole of pea will be :
1 mole of pea ÷ Number of peas picked per year [tex] \frac{6.022 \times {10}^{23} }{4.325 \times {10}^{13} } = 1.392 \times {10}^{10} \: years[/tex]The time taken to pick 1 mole of pea will be
[tex]1.392 \times {10}^{10} \: years[/tex]
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Which of the following relations is a function?
OA. (2,0), (-5,3), (5, 1), (-5,5)
B. (2, 4), (-5, 2), (5, 1), (-8, 2)
OC.
(2,4), (-5, 6), (2, 3), (-8, 2)
D. (5, 1), (-5, 4), (2, 1), (5,2)
Answer:
D.(5,1),(-5,4),(2,1),(5,2)
She needs a little less than 4 pounds to make 12 turkey burgers because 1/3 times 12 is about 3.99 pounds. But she only has 3 3/8 pounds which is about 3.375 pounds.
Answer:
10 burgers
Step-by-step explanation:
[tex]{3.375pounds}(\frac{12 burgers}{3.99pounds})=(\frac{xburgers}{3.375pounds}){3.375pounds}\\xburgers=10.15\\[/tex]
so you get 10 burgers
or you could approach it
[tex]\frac{3.375}{(1/3)} =[/tex]3.375×3=10.125
2. Alex is training for a marathon. Yesterday, he ran 12 miles North then 9 miles east. He then ran back to his starting point taking the shortest distance possible. What was the total distance he ran yesterday? Hint: find the hypotenuse first. A.225 miles G. 36 miles T.15 miles. Y. 21 miles
Answer:
21
Step-by-step explanation:
12 + 9 = 21
that is the distance he ran so that is the distance he will run back
( i hope that helped)
These tiles represent the expression 2(5x–3)–9x. Which expression is equivalent to 2(5x–3)–9x?
Answer:
There are various answers... x-6 or 10x-6-9x or (5x-3)2-9x or (-3+5x)2-9x
Step-by-step explanation:
We all just have to distributive or simplify
6th grade math i mark as brainliest
Answer:
dividend is 30
divisor is 6
Step-by-step explanation:
If y=10x+0.08
Is this relationship proportional? At least 1 sentence explanation.
Answer:
No it is not proportional.
Step-by-step explanation:
Please help me understand this question
Answer:
Make the picture clearer and bigger
Step-by-step explanation:
simplify 4p^5q^3*p^2^-4
24p+7q
-----------
12
Answer:
[tex]4p^{5q^{3} -2}[/tex]
Step-by-step explanation:
The base would stay the same as nothing is being multiplied.
Answer choices are
y-x=-4
y-x=-2
y-4=x
y+4x=1
Answer:
Y+4x=1
Step-by-step explanation:
Caesar has $180 in his bank account. He needs a total of $2,000 to purchase his uncle's car. He earns $60 per day and says $50 of that amount each day. Which equation can be used to determine the number of days, D, he needs to work to reach his goal of $2,000?
Answer:
Im not 100% sure because I dont have paper, but the answer is..YELLOW and Dark blue
Step-by-step explanation:
If this isnt the answer pls forgive me, and if you can pls gimme brainliest
Consider the probability distribution shown below. x 0 1 2 p(x) 0.15 0.60. 0.25 compute the expected value of the distribution.
Answer:
1.10
Step-by-step explanation:
Given the probability distribution :
x : ___ 0 ___ 1 ___ 2
p(x)__0.15 _0.60 __0.25
The expected value is obtained by:
Σ(X * p(x))
(0 * 0.15) + (1 * 0.60) + (2 * 0.25)
0 + 0.60 + 0.50
= 1.10
Which shows the numbers Nine-tenths, 0.3, 0.8, Five-tenths, and Two-tenths in order from least to greatest?
0.3, Five-tenths, Nine-tenths, Two-tenths, 0.8
Two-tenths, 0.3, Five-tenths, 0.8, Nine-tenths
Five-tenths, Two-tenths, 0.3, 0.8, Nine-tenths
Nine-tenths, 0.8, Five-tenths, 0.3, Two-tenths
Answer:
Step-by-step explanation:
Let's express all the given numbers as decimals:
nine tenths- 0.9
0.3
0.8
five tenths- 0.5
two tenths- 0.2
Ordering them from least to greatest:
two tenths, 0.3, five tenths, 0.8, nine tenths
Answer:
B is your answer
Step-by-step explanation: