Answer:
x^(n+2)
Step-by-step explanation:
When multiplying two monomials with the same base but different exponents,
under the multiplication rule of exponents,
the product becomes the base number to the power of the sum of the exponents.
For example:
[tex]a^2 + a^1 = a^(1+2)[/tex]
Therefore, since x^n and x^2 both have x as their bases,
the product becomes x^(n + 2)
A representative sample of oak trees in a forest shows the trees to have a mean
circumference of 19.7 inches and a standard deviation of 1.3 inches. Assuming the
circumferences are normally distributed, estimate the proportion of oak trees in this forest that have a circumference greater than 21 inches.
Explain or show your reasoning.
Answer:
15.87% portion of oak trees in this forest have a circumference greater than 21 inches
Step-by-step explanation:
Given that
Mean = μ = 19.7 inches
SD = σ = 1.3 inches
We have to find the probability of circumference greater than 21 inches
Let x = 21 inches
First of all we have to find the z-score of the value
z-score is given by the formula
[tex]z = \frac{x-mean}{SD}[/tex]
Putting the values
[tex]z = \frac{21-19.7}{1.3}\\z = \frac{1.3}{1.3}\\z = 1[/tex]
We will use the z-score table to find the probability of x<21
P(z<1) = 0.8413
The value gives us the area under the curve up till that value
To find the greater than probability, we have to subtract less than probability from 1.
P(z>1) = 1 - P(z<1) = 1 - 0.8413 = 0.1587 => 15.87%
Hence,
15.87% portion of oak trees in this forest have a circumference greater than 21 inches
Suppose that 71% of the surface of the Earth is covered in water, and a random number generator uses latitude and longitude to select a random location on the Earth. If 6 locations are generated, what is the probability that at least 1 of those locations is over land?
Answer:
.00059 or .0006
Step-by-step explanation:
You are trying to find what won't be in the water because there are many combinations so you use a complement formula.
1-0.79=0.29
Use the left over percentage in an equation to determine the probability.
[tex]1-(0.29)^6=0.000594823[/tex]
The exponent 6 comes from the number of locations.
Answer:
.8719
Step-by-step explanation:
This is an educated guess feel free to give a negative review if I'm wrong
Joel needs 785 tickets to get the prize he wants at the arcade. He already has 284 tickets and can earn 35 tickets each time he plays an arcade game. How many games will he have to play in order to have enough tickets to win the prize he wants?
He needs to play 23 more times. 785 / 35 = 23
He will have extra points but it will be enough to get the prize.
5.5 x 18.2 = r whats r
Answer:
r=100.1x
Step-by-step explanation:
Answer:
55 91
—— • (x^——)
10 5
Step-by-step explanation:
The polynomial x^4+px^3+qx^2+rx+6 is exactly divisible by each of (x-1), (x-2) and (x-3).
Find the values of p, q and r.
The remainder theorem says that a polynomial f(x) has a remainder of f(c) upon getting divided by x - c. So if
f(x) = x⁴ + p x³ + q x² + r x + 6
is divisible by x - 1, x - 2, and x - 3, then we have
f (1) = 7 + p + q + r = 0
f (2) = 22 + 8p + 4q + 2r = 0
f (3) = 87 + 27p + 9q + 3r = 0
Solve the system for p, q, r. You can eliminate r by substituting the first equation into the other two:
p + q + r = -7
8p + 4q + 2r = -22 → 6p + 2q - 14 = -22 → 3p + q = -4
27p + 9q + 3r = -87 → 24p + 6q - 21 = -87 → 4p + q = -11
Eliminate q by adding (-1) times the first equation to the second one, then solve for p :
- (3p + q) + (4p + q) = - (-4) + (-11)
-3p - q + 4p + q = 4 - 11
p = -7
Solve for q :
3p + q = -4 → 3 (-7) + q = -4 → q = 17
Solve for r :
p + q + r = -7 → -7 + 17 + r = -7 → r = -17
Debora plans to sew 3 blankets for each of her nieces.
How many blankets will Debora sew if she has 5 nieces?
Answer:
well for me I think it's
Step-by-step explanation:
15
5×3 each
Answer:
15 blankets
Step-by-step explanation:
Debora plans to sew 3 blankets for each of her nieces. If she has 5 nieces, that means she will sew 3 blankets for each of them.
Number of blankets Debora sews = 3 blankets × 5 nieces
= 15 blankets
Therefore, Debora will sew 15 blankets in total.
I hope this helps!
which number line shows the solution of 6x-12>-6
Answer:
x > 1 The open cicle dot should be on 1 and should go beyond 1. So 1,2,3,4...etc
Step-by-step explanation:
A bicycle is on sale for $189.00. The sales tax rate is 5%. How much is the sales tax?
Answer:
The tax rate is 9 dollars and 45 cents.
Step-by-step explanation:
Pleaseeee helpppp !!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
8
Step-by-step explanation:
AC=2DE
48-4x=2(64-7x)=128-14x
14x-4x=128-48
10x=80
x=80/10=8
DE=64-7x=64-7*8=64-56=8
What is the approximate circumference of the circle shown below ? A^ 12.2 cn O A. 76.6 cm B. 48.8 cm C. 19.2 cm O 38.3 cm
Answer:
D. 38.3 cm
Step-by-step explanation:
Just took test on a p e x
Answer: 38.3
Step-by-step explanation:
find the interest earned on 45,000 at 14% for 8 years
Answer:
$128366.39
Step-by-step explanation:
We will use the Simplified Compound Interest Equation:
P = C(1 + r)^t
P = 45000(1+0.14)^8
P = 45000(1.14)^8
P = 128366.389
So about $128366.39
Answer:
simple
Step-by-step explanation:
45000×14×8/100
5040000/100
=50400
ANSWER PLS!!
What is the answer
Answer:
C is the correct answer.(Plus I remember this question)Combine like terms in (3x+5)+(4x-30
Answer:
The answer is 7x-25
Step-by-step explanation:
(3x+5)+(4x-30)
=3x+4x+5-30
=7x-25
Answer:
(3x+4x) + (5-30)
Step-by-step explanation:
For this problem which is all addition and subtraction it is simply having you combine like terms or rather terms with same variables (3x and 4x). You just need to be careful with the signs when you rewrite the problem so when you solve you get the correct answer. Example if you were to solve this one you would combine your numbers with variable of x and then the numbers without the variable:
(3x+4x) +(5-30)
7x + -25 or 7x-25
Bill made $231 for 11 hours of work. At the same rate, how many hours would he have to work to make 105 ?
Hey,
The answer is 55
I wrote the solution, you can look.
Good luck :)
I'll give brainliest to the right answer! I need help ASAP!
Answer:
answer: y= 1^2+ -8 I think I did this right.
Answer:
y=-1/2x-8
Step-by-step explanation:
1) The roots of the equation 9x2 + 3x – 4 = 0 are
A) real, irrational, and unequal
B) real, rational, and unequal
C) imaginary
I
D) real, rational, and equal
Answer:
D.
Step-by-step equation:
I don't know but i think this is the answer.
The roots of the equation are x = 0.5205 and x = -0.8538. These roots are real, rational and unequal, thus option (B) is the correct answer.
What is a quadratic equation?A quadratic equation is a polynomial which has the highest degree equal to two. It is a second-degree equation of the form ax² + bx + c = 0, where a, b, are the coefficients, c is the constant term, and x is the variable.
For the given situation,
The equation is 9x^2 + 3x – 4 = 0
The roots of the equation can be found by the formula,
[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex] or [tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]
here, a = 9, b = 3 and c = -4
Substitute the above values,
⇒ [tex]x=\frac{-3+\sqrt{3^{2}-4(9)(-4) } }{2(9)}[/tex] or [tex]x=\frac{-3-\sqrt{3^{2}-4(9)(-4) } }{2(9)}[/tex]
⇒ [tex]x=\frac{-3+\sqrt{9+144 } }{18}[/tex] or [tex]x=\frac{-3-\sqrt{9+144 } }{18}[/tex]
⇒ [tex]x=\frac{-3+\sqrt{153 } }{18}[/tex] or [tex]x=\frac{-3-\sqrt{153 } }{18}[/tex]
⇒ [tex]x=\frac{-3+12.36 }{18}[/tex] or [tex]x=\frac{-3-12.36 }{18}[/tex]
⇒ [tex]x=\frac{9.37}{18}[/tex] or [tex]x=\frac{-15.37}{18}[/tex]
⇒ [tex]x=0.5205[/tex] or [tex]x=-0.8538[/tex]
Hence we can conclude that the roots of the equation are x = 0.5205 and x = -0.8538. These roots are real, rational and unequal, thus option (B) is the correct answer.
Learn more about quadratic equation here
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what are the possible coordinates of point a?
Answer:
(0,5)
Step-by-step explanation:
Hope this helped, Have a Great Day!!
need help please, will give Brainly
Answer:
evaluate C2 + 4a - b
-2 +4(-5)-3
4=-2-5-3
4=4
=4-4
=0
During a sale, the price of a sweater was changed from $20 to $16. What was the percent of decrease in the price of the sweater?
Possible Answers:
A. 40%
B. 25%
C. 20%
D. %4
Answer:
c
Step-by-step explanation:
20 to 16 is 20% trust me lol
Answer:
The answer is B
Step-by-step explanation:
please answer this questioncould u please answer this question
Answer:
3
Step-by-step explanation:
3p - 1 = 5(p-1) -2(7-2p)
(simplify)
3p -1 = 5p-5-14+4p
3p-1 = 9p-19
(make p the subject)
3p-9p = -19+1
-6p = -18
p = -18/-6
p = 3
es 6
Step-by-step explanation:
3p-1= 5p-5-14mas4p
3p-4p-5p= -5-14mas1
3p-4p-5p= -18
3p-9p=-18
_3p=-18
p=-18:-3
p=6
Mr. Champion invests 34,000 into a money-market fund that pays 4.8% simple interest. How long will it take for him to earn $8,160 in simple interest?
Pls show all work
Answer:
5 years
Step-by-step explanation:
Step one:
Given Information
Principal= $34,000
rate = 4.8%
SImple interest = $8,160
Required
The time T of the investment
Step two:
the expression for simple interest is
[tex]SI= PRT/100[/tex]
substitute
[tex]8160 = 34000*4.8*T/100[/tex]
cross multiply we have
[tex]8160*100= 34000*4.8*T\\\\816000= 163200T\\\\[/tex]
divide both sides by 163200
[tex]816000/163200= T\\\\T= 5 years[/tex]
The equation below has one solution.
9x - 10 = 3x + 2
What is the solution to the equation?
–2
–1
1
2
Answer:
x=2
Step-by-step explanation:
Which ordered pair is a solution to the equation 8x - 2y = 4?
Question 1 options:
(0, -1)
(1, 3)
(2, 6)
(3, 4)
Answer:
i think 0,1
Step-by-step explanation:
bc iit goes like that lol
Haley is printing admission tickets for the school dance. So far, she has printed 112 tickets. She knows that she needs to print 320 tickets in total. What percent of the tickets does Haley still have to print?
Answer:
Answer:
Haley needs to print 65% of the tickets.
Step-by-step explanation:
Given that:
Tickets printed by Haley = 112
Tickets needed to print = 320
Tickets left to print = 320-112 = 208
Percent of tickets left to print =
Percent of tickets left to print =
Percent of tickets left to print = 0.65*100
Percent of tickets left to print = 65%
Hence,
Haley needs to print 65% of the tickets.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Haley needs to print:
320-112=208 tickets
1% of 320 is equal to 320/100=3.2
208/3.2=65
She needs to print 65% more tickets
Use the Quotient Rule to find the UNSIMPLIFIED version of the derivative. R(w)=3w+w^4/ 2w^2+1.
Pls show work!!!
From your previous questions, you know
(3w + w⁴)' = 3 + 4w³
(2w² + 1)' = 4w
So by the quotient rule,
R'(w) = [ (2w² + 1)•(3w + w⁴)' - (3w + w⁴)•(2w² + 1)' ] / (2w² + 1)²
That is, the quotient rule gives
R'(w) = [ (denominator)•(derivative of numerator) - (numerator)•(derivative of denominator) ] / (denominator)²
I'm not entirely sure what is meant by "unsimplified". Technically, you could stop here. But since you already know the component derivatives, might as well put them to use:
R'(w) = [ (2w² + 1)•(3 + 4w³) - (3w + w⁴)•(4w) ] / (2w² + 1)²
BRAINIST & 20 POINTS
*random answers will be reported*
Answer:
6-1
Step-by-step explanation:
Use the graph that shows the solution to f(x) = g(x).
f(x) = -(x + 2)(x - 2)
8(x) = 2x + 21
fx)
What is the solution to f(x) = g(x)?
1
3
Select each correct answer
-2
0
2
3
2
3
-32
Consequently, the graph is correct; and the x values for the solutions are x = -2 and x = 0.
What is the solution to f(x) = g(x)?The solution to f(x) = g(x) is the value(s) of x that satisfy the equation. In other words, it is the value(s) of x that make f(x) equal to g(x).
The only problem here is determining which graph is correct:
f(x) is the same on both graphs;
g(x) = 2 |x + 2| is the absolute value graph of lxl stretched vertically two units to the left;
the "vertex" of lxl is (0, 0);
consequently, the first graph is correct; and the x values for the solutions are x = -2 and x = 0.
To know more about graph, visit:
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What is the answer F()=-8
Answer:
The answer is 8³
Step-by-step explanation:
I think the letter f represents a hidden potential cubic number
1.
Which equation is true when m = 12?
Answer:
are there any more details? cant solve anything from what you have provided
Step-by-step explanation:
SOMEONE HELP PLEASE ASAP
Answer:
The last one: Decreasing then increasing
Step-by-step explanation:
Answer:
d?
Step-by-step explanation: