9514 1404 393
Explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
1/a^b = a^-b
__
[tex]5\times2^{n-1}=5\times(2^n)(2^{-1})=5\times2^n\times\dfrac{1}{2}=\boxed{\dfrac{5}{2}\times2^n}[/tex]
happy new year. eeeeeeeee e
Answer:
yeah happy new year but your answer is D
Step-by-step explanation:
I'm good at math
Answer:
In the picture I need the answers to the questions.
Answer:
a) [tex]\mathbf{ f(g(x))=x+2\sqrt{x} +1}[/tex]
b) [tex]\mathbf{f(g(9))=16}[/tex]
Step-by-step explanation:
We are given:
[tex]f(x)=(x-2)^2\\g(x)=\sqrt{x} +3[/tex]
We need to find [tex]a) f(g(x))\\b) f(g(9))[/tex]
a) First finding: [tex]f(g(x))[/tex]
It can be found by putting the value of g(x) into f(x)
We are given:
[tex]f(x)=(x-2)^2\\Put\:x=g(x)\:i.e. \: x= \sqrt{x} +3\\f(g(x))=(\sqrt{x} +3-2)^2\\Now\: solving:\\f(g(x))=(\sqrt{x} +1)^2\\Using\:formula\:\mathbf{(a+b)^2=a^2+2ab+b^2}\\f(g(x))=(\sqrt{x})^2+2(\sqrt{x} )(1)+(1)^2\\ f(g(x))=x+2\sqrt{x} +1[/tex]
SO, we get: [tex]\mathbf{ f(g(x))=x+2\sqrt{x} +1}[/tex]
b) Now finding: [tex]f(g(9))[/tex]
It can be found by putting x=9 in f(g(x))
We have:
[tex]f(g(x))=x+2\sqrt{x} +1\\Put\:x=9\\f(g(9))=9+2\sqrt{9}+1\\We\:know\: \sqrt{9}=3\\ f(g(9))=9+2(3)+1\\f(g(9))=9+6+1\\f(g(9))=16[/tex]
So, we get: [tex]\mathbf{f(g(9))=16}[/tex]
19.796 to 1 significant figure
Answer:
The answer is 20
I hope this helps
Which list of fractions is in order from smallest to largest? 1/6,1/3 ,1/2 ,1/2 ,1/3 ,1/6 ,1/6 ,1/2 ,1/3, 1/2, 1/6, 1/3
Answer:
The smallest order of fractions in that order would be,
Step-by-step explanation:
1/6, 1/3, 1/2
because the bigger the denominater, the larger the whole is, and in 1/2, it would be equivalent to half, but 1/6 would be smaller. Let's say if it were 3/6, it would be equivalent to 1/2 because its half right? so thats another way you can tell how one fraction is smaller than another.
1/6,1/3,1/2 is the list of fractions is in order from smallest to largest.
What is Fraction?A fraction represents a part of a whole.
The given three fractions are 1/6, 1/3 and 1/2.
We need to order them smallest to largest.
Let us make the denominator same for all the three fractions to compare which is larger and smaller.
1/6×2/2=2/12
1/3×4/4=4/12
1/2×6/6=6/12
So 1/6 is smaller, 1/2 is bigger.
We know Arranging numbers in increasing order, that is, from smallest to largest is known as ascending order.
by using ascending order we can order the fractions like 1/6,1/3,1/2.
Hence, 1/6,1/3,1/2 is the list of fractions is in order from smallest to largest.
To learn more on Fractions click:
https://brainly.com/question/10354322
#SPJ2
A baker made 9 cupcakes, each a different type. Four people want to share them equally. How many cupcakes will each person get? DIvide and use in fraction form.
Answer: 2 1/4
Step-by-step explanation:
From the question, we are informed that a baker made 9 cupcakes which are to be shared equally by four people.
To get the number of cupcakes that each person gets, we divide the total number of cupcakes by the total number of people. This would be:
= 9 ÷ 4
= 2 1/4 cupcakes
Therefore, each person gets 2 1/4 cupcakes.
Sols the system 2x+y = 1 y = -2x^2+3x+1
Answer:y=(-2x+1) (x+1)
Step-by-step explanation:
2x+y=-2x^2 +3x+1
y=-2x^2+x+1
y=-2x^2 -2x+x+1
y=-2x(x+1) +1(x+1)
y=(-2x+1) (x+1)
Determine, in general form, the equation of the line that goes through the
point (3,-6) and is perpendicular to the line shown: 5x + 3y + 9 = 0
Answer:
I got
y=3/5x -39/5
Step-by-step explanation:
Hope this helps
whats the slope of (10,8) and (-15, 18)
Answer:
[tex]m=-\frac{2}{5}[/tex]
Step-by-step explanation:
Use the figure to find the measures of the numbered angles. ∠5 = ∠6 =
Answer:
∠ 5 = 49°, ∠ 6 = 131°
Step-by-step explanation:
∠ 5 and 49° are corresponding angles and are congruent, then
∠ 5 = 49°
∠ 5 and ∠ 6 are adjacent angles and are supplementary, sum to 180° , that is
∠ 6 + ∠ 5 = 180°
∠ 6 + 49° = 180° ( subtract 49° from both sides )
∠ 6 = 131°
Please help, Question in the picture!
Answer:
y = 1/3x + 6
Step-by-step explanation:
−(−2 − n) please help
Answer:2+n
Step-by-step explanation:
1. distribute parentheses
=-(-2)-(-n)
2.apply minus-plus rules
=2+n
John,Kris,and Monica are playing catch with a frisbee. They are standing in a triangle, as shown below .
Monica can only throw the frisbee 75 feet. If she throws the frisbee as hard as she can to John, will it reach him?
Answer:
Ur seriously taking Charles Geometry exam, and post the question here
Step-by-step explanation: Since ur so desperate by asking here evelyn, the answer is D since monica can only throw 75 feet and John is 70 feet away from her.
1. You get a student loan from the New Mexico Educational Assistance Foundation to pay for your educational expenses this year. Find the interest on the loan if you borrowed ₱2 000 at 8% for 1 year.
Answer:
$160
Step-by-step explanation:
Step one:
given data
Principal = $2000
rate= 8%
time t= 1 year
Required
The Simple interest paid after 1 year
Step two:
Simple interest = PRT/100
Simple interest = 2000*8*1/100
Simple interest = 16000/100
Simple interest =$160
The simple interest paid after 1 year is $160
Plot the points (-3, 4)(−3,4)left parenthesis, minus, 3, comma, 4, right parenthesis and (4, 4)(4,4)left parenthesis, 4, comma, 4, right parenthesis on the coordinate plane below
Answer:
The image shows the points on a coordinate axis.
Step-by-step explanation:
The first point is [tex](-3,4)[/tex].
This means that the point on the [tex]x[/tex] axis is [tex]-3[/tex] and [tex]y[/tex] axis is [tex]4[/tex]. The point is in the second quadrant.
The second point is [tex](4,4)[/tex].
This means that the point on the [tex]x[/tex] axis is [tex]4[/tex] and [tex]y[/tex] axis is [tex]4[/tex]. The point is in the first quadrant.
The image shows the points on a coordinate axis.
Answer:
7 UNITS
Step-by-step explanation:
YW :D
Apples cost $2.99 per pund at Natural Grocers. If Landon purchases 3.6 pounds of apples, then how much willnhe spend? Round your answer to the nearest penny.
Answer:
$10.76
Step-by-step explanation:
Just multiply 2.99 by 3.6 and round
Find the HCF of 32 and 50 using prime factors
Answer:
It’s 32
Step-by-step explanation:
8. Write the equation of a line through points (5,5) and (1, 0) in point-slope form.
y = (x - 1)
О
5
y-1= = (x - 1)
y==(x-5)
y-5= -(x - 1)
Answer:
y=5x-7
Step-by-step explanation:
Did this earlier today
The cost of 5 gallons of gasoline is $20. Write an equation to show the relationship between the cost, c, and the gallons of gasoline, g.
Answer:
the gas 4$
Step-by-step explanation:
5x=20
divide 5/5 to cancel the 5 then 20/5 and there you have it 4
i need help with a question.
It took Sebastian 10 years to repay a loan of $30,000, paying $296.66 per month. Jana paid off a loan for the same amount at the same interest rate in 5 years by paying $545.75 per month. How much more did Sebastian pay in interest than Jana?
Answer:
$2,854.2
Step-by-step explanation:
For Sebastian
It took Sebastian 10 years to repay a loan of $30,000, paying $296.66 per month.
1 year = 12 months
10 years = x
Cross Multiply
x = 10 × 12 = 120 months
He pays $296.66 monthly
Hence, the total amount he paid in 10 years =
$296.66 × 120
= $35,599.2
The loan he took was $30,000.
Hence, the interest Sebastian paid on his loan = $35,599.2 - $30,000
= $5,599.2
For Jana
Jana paid off a loan for the same
amount at the same interest rate in 5 years by paying $545.75 per month.
1 year = 12 months
5 years = x
Cross Multiply
x = 10 × 5 = 60 months
He pays $545.75 monthly
Hence, the total amount he paid in 5 years =
$545.75 × 60
= $32,745
The loan she took was $30,000.
Hence, the interest Sebastian paid on his loan = $32,745 - $30,000
= $2,745
How much more did Sebastian pay in interest than Jana?
This is calculated as:
The interest Sebastian paid - The Interest Jana paid
= $5,599.2 - $2,745
= $2,854.2
Therefore, Sebastian paid $2,854.2 more than Jana
HELPPPPPP PLEASEEEEee 34 + 2 ⋅ 5 = ____. (Input whole numbers only.) (1 point)
Answer:
44
Step-by-step explanation:
Find
The value of x pls I need help
Answer:
x= 30
Step-by-step explanation:
Challenge A large university accepts 40% of the students who apply. Of the students the university
accepts, 45% actually enroll. If 20,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)
Plzzzz help
Answer:
3,500
Step-by-step explanation:
A 9-yard roll of string costs $1.53. What is the unit price?
PLEASE HELP !!! ASAPPPP Select the statement that describes this expression: 10 + fraction 1 over 4x (5 + 3) − 3.
O 10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3 fraction.
O 1 over 4 of 10 times the sum of 5 and 3, minus 3
O 3 more than 3 plus 5 multiplied by fraction 1 over 4, then add 10
O 10 times fraction 1 over 4 plus 3 and 5, minus 3
Answer:
I think its the first one...
Step-by-step explanation:
Answer:
First one
Step-by-step explanation:
A company that makes hair products had 9000 people try new shampoo of the 9000 people 72 had a mild allergic reaction what percent of the people had a mild allergic reaction
Answer:
0.8%
Step-by-step explanation:
Number of people had mild allergic attack = 72
% of people who had mild allergic attack = 72/9000 × 100%
= 0.8%(Answer)
Write an equation of the line with a slope of
-
and y-intercept of -6.
y
Answer:
Y = mX+C
Y =mX-6
Y =m(0)-6
Y = -6
the line passes through origin so
X=0
(0,6)
solve each inequality and graph the solution
5+ x <12
Answer:
Inequality Form:
x<7
Interval Notation:
(−∞,7)
Step-by-step explanation:
plz give brainlyest
The function t=f(S) models the time, in hours, for a sample of water to evaporate as a function of the size S of the sample, measured in millimeters. What are the units for f’’(S)?
Given that,
The function is t = f(S).
To find,
The unit of f''(S).
Solution,
The given function shows the time for a sample of water to evaporate as a function of the size S of the sample, measured in millimeters.
f'(S) will be in hours per Mililiter
And
f''(S) will be in hours per Mililiter per Mililiter. Therefore, this is the required solution.
If a bike normally costs $150 but it is marked up
100% due to an increase in demand. How much
would it cost? *
Answer:
300
Step-by-step explanation:
100% of 150 is literally 150, add those together and you get 300.
Answer:
the answer is $300
Step-by-step explanation: when increasing by 100% it is the same as multiplying by 2