Question:
Choose an equivalent expression for 12^3 • 12^9 • 12^4 • 12^2
A. 12^4 B. 12^18 C. 12^35 D. 12^216
Answer:
[tex]12^{18}[/tex]
Step-by-step explanation:
Given
[tex]12^3 . 12^9 . 12^4 . 12^2[/tex]
Required
Determine the equivalent
Applying law of indices, we have:
[tex]12^{3 + 9 + 4 + 2}[/tex]
[tex]12^{18}[/tex]
Hence:
[tex]12^3 . 12^9 . 12^4 . 12^2 = 12^{18[/tex]
Point is plotted at 30.05 on a number line which describes the location point
Answer:
Step-by-step explanation:
A point is plotted at 30.05 on a number line. Which of the options describes the location point?
There are no options to choose from but below is the description of the location point:
30.05 units to the east of the center of the number line. The center of the number line is point zero (0) and separates the negative side from the positive side. 30.05 is on the positive side.
Answer:
between 30 and 31
Step-by-step explanation:
help me please !!!!!!!
Answer:
I don't see the screenshot and i'm not going to download it...
Step-by-step explanation:
yikes
A local little league has a total of 60 players, of whom 20% are left-handed. How many left-handed players are there?
Answer:
There are 12 left-handed players in the league
Step-by-step explanation:
To find the value of the percentage of a given number, change the percentage at first to decimal by divide it by 100, then multiply the decimal by the number.Ex: 5% of 50 ⇒ 5% = [tex]\frac{5}{100}[/tex] = 0.05 ⇒ 5% × 50 = 0.05 × 50 = 2.5Let us solve the problem
∵ A local little league has a total of 60 players
∵ 20% of them are left-handed
→ Find 20% of 60
∴ The number of left-handed players = 20% × 60
→ Change 20% to a decimal
∵ 20% = [tex]\frac{20}{100}[/tex] = 0.20
∴ The number of left-handed players = 0.20 × 60
∴ The number of left-handed players = 12
∴ There are 12 left-handed players in the league
ANSWER ONE PLS :(
Beyonce’s fish tank holds 180 gallons of water and is leaking at a rate of 8 gallons per day. Jay Z’s fish tank holds 160 gallons of water and is leaking at a rate of 6 gallons per day. At how many days will the two fish tanks have the same amount of water in them?
Justin Bieber’s sand castle is 180cm tall but the wind is blowing away sand at a rate of 8cm per minute. Taylor Swift’s sand castle is 160cm tall and she it adding sand to it at a rate of 6cm per minute. After how many minutes will their sand castles be the same height?
Answers:
1) 160 + 8x = 180 + 6x
2) 160 + 6x = 180 - 8x
The fish tank problem:
x = # of days
180 - 8x = 160 - 6x
Add 8x to both sides and subtract 160 from both sides.
20 = 2x
Divide both sides by 2
10 = x
It will take 10 days for the fish tanks to have the same amount of water in them.
The sand castle problem:
x = # of minutes.
180 - 8x = 160 + 6x
Add 8x to both sides and subtract 160 from both sides.
20 = 14x
Divide both sides by 14
x = 10/7 mins
After 10/7 mins their sand castles will be the same height
Susan drove to visit a friend. She drove 345
miles in 5 hours and 45 minutes. What was her
average speed, to the nearest tenth of a mile per
hour?
Answer:
[tex]Average\ Speed = 60 mi/hr[/tex]
Step-by-step explanation:
Given
[tex]Distance = 345\ miles[/tex]
[tex]Time = 5\ hours\ 45\ minutes[/tex]
Required
Determine the average speed
This is calculated as thus:
[tex]Average\ Speed = \frac{Distance}{Time}[/tex]
Convert time to hour:
[tex]Time = 5\ hours\ 45\ minutes[/tex]
[tex]Time = 5\ hours + \frac{45}{60}\ hour[/tex]
[tex]Time = 5\ hours + \frac{3}{4}\ hour[/tex]
[tex]Time = \frac{20 + 3}{4}\ hours[/tex]
[tex]Time = \frac{23}{4}\ hours[/tex]
[tex]Time = 5.75\ hours[/tex]
[tex]Average\ Speed = \frac{Distance}{Time}[/tex]
[tex]Average\ Speed = \frac{345}{5.75}[/tex]
[tex]Average\ Speed = 60 mi/hr[/tex]
Kelsey has designed the pendant shown, that hangs from a chain. She makes pendants by bending silver wire into circles. The design connects one circle made from a wire 6 cm long to a second circle made from a wire 8 cm long. She plans to sell the pendants at a craft fair, and her goal is to make a minimum profit of $50 at the fair. Part A The height of the pendant is determined by using the formula for the circumference of a circle, C = id. Find the total height of the pendant design from top to bottom in terms of it. Then find the height rounded to the nearest tenth of a centimeter. Use 3.14 for T.
Answer:
4.4cmStep-by-step explanation:
in this problem we are expected to solve for the diameter of each circle pendant and add them to get the height of the complete pendant.
we know that the circumference is given as
C=πd
for the small circle
C=6cm
6=3.142d
d=6/3.142
d=1.9cm
for the big circle
C=8cm
8=3.142d
d=8/3.142
d=2.5cm
the height then is 1.9+2.5=4.4cm
Shirley is drawing triangles that have the same area. The base of each
triangle varies inversely with the height. What are the possible base
and height of a second triangle if the first triangle's base is 12 and its
height is 8?
Select one:
a. 120 and 80
b. 10 and 10
c. 60 and 36
d. 16 and 6
Answer:
d. 16 and 6
Step-by-step explanation:
Triangle area = (base × height)/2
A = (8 × 12)/2 = 96/2 = 48
A = (16 × 6)/2 = 96/2 = 48
Mandy, Carly, and Armond collect sports jerseys. Carly has 5 more jerseys than Mandy, and
Armond has three times as any jerseys as Carly. Altogether, they have 80 jerseys. Find the
number of jerseys each person has.
(1 Point)
Enter your answer using c for Carly, m for Mandy and a for Armond.
Enter your math answer
M is the midpoint of line segment PQ. MQ = 5x + 8 and PQ = 6x + 65, find x
Answer:
freeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
trump 20202020202020020202020
Help guys, please I needed this answer PLEASE!!!
Delisa Corporation has two divisions: Division L and Division Q. Data from the most recent month appear below:
Total Company Division L Division Q
Sales $ 577,000 $ 158,000 $ 419,000
Variable expenses 347,300 104,280 243,020
Contribution margin 229,700 53,720 175,980
Traceable fixed expenses 124,110 38,710 85,400
Segment margin 105,590 $ 15,010 $ 90,580
Common fixed expenses 70,310
Net operating income $ 35,280
The break-even in sales dollars for Division Q is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$318,530
$203,333
$268,466
$459,400
Answer:
$203,333
Step-by-step explanation:
Computation for the break-even in sales dollars for Division Q
First step is to compute the Segment Contribution Margin ratio
Using this formula
Segment Contribution Margin ratio = Segment contribution margin ÷ Segment sales
Let plug in the formula
Segment Contribution Margin ratio= $ 175,980÷ $ 419,000
Segment Contribution Margin ratio= 0.42
Last step is to find the break-even in sales dollars for Division Q using this formula
Break-even in sales dollars = Segment traceable fixed expenses ÷ Segment Contribution Margin ratio
Let plug in the formula
Break-even in sales dollars= $85,400÷ 0.42
Break-even in sales dollars=$203,333
Therefore the break-even in sales dollars for Division Q is $203,333
Write the equation of the line that represents the linear approximation to the following function at the given point a. b. Use the linear approximation to estimate the given quantity. c. Compute the percent error in the approximation, , where the exact value is given by a calculator. at a0; f() a. L(x) nothing
Answer:
(a) 15 - 4x
(b) 6.6
(c) 5.7143%
Step-by-step explanation:
The given problem is incomplete. Please find attachment of the complete description.
According to the question:
[tex]f(x)=11-x^2[/tex]
now,
(a)
[tex]f(a)=11-2^2[/tex]
[tex]=7[/tex]
[tex]f'(x)=-2x[/tex]
[tex]f'(2)=-4[/tex]
[tex]f(x)=f(a)+f'(a)(x-a)[/tex]
[tex]=7-4(x-2)[/tex]
[tex]=7-4x+8[/tex]
[tex]=15-4x[/tex]
(b)
[tex]f(2.1)=15-4\times 2.1[/tex]
[tex]=6.6[/tex]
(c)
[tex]Error=\frac{100\times \left | 6.6-7 \right |}{7}[/tex]
[tex]=5.7143[/tex]%
what is two and three hundreds seventy thousandths in decimal form
Answer:
2.370
Step-by-step explanation:
In this, the word "and" means the decimal point so:
two and 3
=
2.3
so the tenths place would be the first number after the decimal point, you can think of it as counting backwards. 1000 100 10 "0" 0.1 0.01 0.001
thousnd hundrd tn zro tnths hundrds thousndths
so the 3 hundred would be 0.3 and the sevenTY thousandths would be 0.070
so add that all up and you get:
2.370
or
two and three hundreds seventy thousandths
Hope this helped! Pls Brainliest! It would help and mean a lot! ; )
can someone help me out or tell me if I’m right or wrong on both problems !
The diagram below represents the measurements of Jennie’s yard. The yard’s width is x feet shorter than its length. If the area of the yard is 540 square feet, how many feet shorter than the length is the width?
Answer:
C 30(30 – x) = 540
Step-by-step explanation:
I did it on edg
Answer:
3) 30(30-x)=540
Step-by-step explanation:
answer on edge
Which input value produces the same output value for
the two functions on the graph?
O x=-1
Ox=0
Ox=1
Ox=2
Answer:
C
Step-by-step explanation:
It's another way of saying where the lines cross. So if the input value (x) = 1 then both lines have an output value of 1.
4x+2 = 2(2x+1) what is the answer?
Answer: 0=0
Step-by-step explanation: Simplify
which of the following inequalities is true?
Answer:
what are the answer chooice bc i cant see the picture
Step-by-step explanation:
Three students spent $12 on school lunch. At that rate, find the amount 10 students would spend on the same school lunch.
Determine the quotient of 2 over 5 divided by 3 over 4
Answer:
8/15
Step-by-step explanation:
The length of a rectangle is 5 cm more than 2 times its width. The perimeter of the rectangle is 34. Define variables to find both length and width. Write an equation to find the perimeter of the rectangle. What are the dimensions of the rectangle?
Answer:
many take time and solve it step by step
Step-by-step explanation:
sorry I am lost
Write a polynomial fx that satisfies the given conditions. Express the polynomial with the lowest possible leading positive integer coefficient.
Polynomial of lowest degree with lowest possible integer coefficients, and with zeros 5-32i and 0 (multiplicity 4).
f(x)=________
Answer:
Step-by-step explanation:
Find the question attached.
Given the zero of the polynomial 5+3i and 0, this means that (x-0) and (x-(5+3i)) are factors
Multiplying the factors together we have;
= x((x-(5+3i))
= x(x-5-3i)
= x²-5x-3xi
Hence the polynomial expression of the zeros is x²-5x-3xi
What is the fraction equivalent of 0.2323
Answer: 23/99
Step-by-step explanation: I’m assuming it’s supposed to be repeating but if not the answer will be 2323/10000.
Solve |x – 4| + 6 = 13.
A. x = 11 and x = -3
B. x = -11 and x = -3
C. x = 11 and x = -11
D. x = -11 and x = 3
Apex?
g Suppose you are rasterizing a triangle with vertices (1, 1), (5, 1), and (2, 9), and the intensity values (e.g., redness) of those vertices are 5, 9, and 14, respectively. Using the linear interpolation scheme, what is the intensity value of an interior point at (3, 5)? Show all your work.
Answer:
6.333
Step-by-step explanation:
Our triangle vertices are
(1,1)(5,1)(2,9)
We are to perform interpolation at point(3,5)
x and y values are interpolated
On vertices (5,1)(2,9)
x = 3
x1 = 5
X2 = 2
Y1 = 1
Y2 = 9
Formula for interpolation
Y = [y1+(x-x1)(y2-y1)]/x2-x
Y = 1+(3-5)(9-1)/2-5
Y = 1+[-2*8/-3]
Y = 1+16/3
From here we use use LCM to get:
19/3 = 6.333
To find the quotient Two-fifths divided by one-fourth,
multiply Two-fifths by 4.
multiply Two-fifths by One-fourth.
multiply Five-halves by One-fourth.
multiply Five-halves by 4.
Answer:
above is right
Step-by-step explanation:
Help! Need ASAP! ;((
Answer:
7+(-11)
Step-by-step explanation:
because it starts from 0 to 7 then goes down 11
so 7+(-11)
brainlist pls ;>
Wite the number
in standered form 80+9=
Answer:
89
eighty-nine
Which sentence is true is 0.45<0.5
True.
When you break it down, it's 0.45 compared to 0.50, so 0.5 is greater than 0.45 by 0.05. Also, 0.5 is closer to 0.
t/8 = -4 find the value of t please :)
Answer:
t = -32
Step-by-step explanation:
I multiplied -4 to 8
Have a wonderful day <33
