Answer:
4096
Step-by-step explanation:
Explanation:
The rule we use is (a^b)^c = a^(b*c). It says to multiply the exponents when we raise one exponential expression to another exponent. The base stays the same.
So, (2^4)^3 = 2^(4*3) = 2^12
You could take the slightly longer path to say the following
(2^4)^3 = (2^4)*(2^4)*(2^4) = 2^(4+4+4) = 2^12
Simplify: 1/6x + 42 + 2/5x - 8/3 -19
A: 97/30x + 23
B: 21/10x - 23
C: -21/10x + 23
D: 97/30x - 23
Answer:
A: 97/30x + 23
Different cities have different sales tax rates. Here are the sales tax charges on the
same items in two different cities. Complete the tables.
City 1
total cost
item
price
(dollars)
sales tax
(dollars)
(dollars)
8.00
0.48
8.48
paper towels
25.00
1.50
lamp
1.00
pack of gum
laundry soap
12.00
х
Answer:
city 1
paper towels 8.00 0.48 8.48
lamp 25.00 1.50 26.50
pack of gum 1.00 0.06 1.06
laundry soap 12.00 0.72 12.72
46.00 2.76 48.76
city 2
paper towels 8.00 0.64 8.64
lamp 25.00 2.00 27.00
pack of gum 1.00 0.08 1.08
laundry soap 12.00 0.96 12.96
46.00 3.68 49.68
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. A 12-foot ladder is placed against a vertical Wall of a building with the bottom of the ladder standing on level ground 5 feet from the base of the building. How high up the wall does the ladder reach?
Answer: The wall of the ladder reaches 10.91 feet.
Explanation:
Formulate
√12^2 - 5^2
Evaluate
10.90871
Round
10.90871 ≈ 10.91
Therefore, the answer is 10.91 feet.
Answer:
10.91 feet
Step-by-step explanation:
Picture a right triangle with a hypotenuse of 12feet and a base of 5feet.
See the attachment.
Use the Pythagorean Theorem to solve.
Height = 10.91 feet.
Which equation is perpendicular to y=4x-6 and passes through point (B, 12)
Answer:
asdasd
Step-by-step explanation:
asdasdasd
please help!
the subject is 9th-grade geometry honors
I need help finding the length for this problem.
Can someone tell me if this is correct if not please correct me in the wrong ones
Answer:
The answer to 2 is "acute".
The answer to 6 is "right triangle"
For 10, it actually is possible. An example is 50, 50, 80
Step-by-step explanation:
An acute triangle is when each angle is less than 90 degrees.
Any triangle with 90 degrees for one angle counts as a right triangle.
all angle measures in a triangle must add up to 180 degrees. Hope this helps!
Please help fast
5. A mixture of paint is prepared by combining /2 parts of yellow paint with % parts
of blue paint. In the following table, find the missing values.
Parts of yellow paint
Parts of blue paint
Total parts
1/2
3/4
1 1/4
1
4 1/2
8
Answer:
I need helpw with this is too
Step-by-step explanation:
I need some help with this question. It says: expand and simplify 5(x + 7) + 3(x - 2)
Answer:
8x+29
Step-by-step explanation:
open the brackets the collect like terms together
The surface area of a box is 160 square inches. The length of the box is twice its width, and is 4 inches less than its height. What is the height of the box, in inches?
the height of the box is 9 inches
Answer:
solution given:
total surface area of a box=160 square inches
let length, width, and height be l,b, and h respectively.
according to the question:
l=2b
∴b =[tex]\frac{l}{2}[/tex]
l=h-4
∴ h=l+4
we have
total surface area of a box=160 square inches
2(lb+lh+bh)=160
[tex]2(l*\frac{l}{2}+l(l+4)+\frac{l}{2}*(l+4))=160[/tex]
[tex]2*\frac{l^2+2l^2+8l+l^2+4l}{2}=160[/tex]
[tex]4l^2+12l=160[/tex]
[tex]4(l^2+3l)=160[/tex]
[tex]l^2+3l=\frac{160}{4}[/tex]
[tex]l^2+3l-40=0[/tex]
doing middle term factorization
[tex]l^2+(8-5}l-40=0[/tex]
[tex]l^2+8l-5l-40=0[/tex]
taking common from each two terms
l(l+8)-5(l+8)=0
(l+8)(l-5)=0
either
l=-8[neglected as length is always positive]
or
l=5
now
b=[tex]\frac{5}{2} =2.5[/tex]
h=5+4=9
Step-by-step explanation:
what does the point (60,20) mean in the graph math
Cans of peas are on sale at 2 for $1.19 how much would 12 cans cost
Answer:uh 2 divide 1.19 and add 12 i think
Step-by-step explanation:
A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y
Complete the table to determine the values of m and b.
Answer:
A
Step-by-step explanation:
answer this pleaseeeee
Answer:
Each goat gets 3 carrots and there are 4 extra carrots left
Step-by-step explanation:
5*3=15
OR: If you wanted to do it exact you give each goat 3 carrot's and an 1/8th of one and you'd have no extra carrots left.
5*3.8=19
Answer:
the answer is simple 3 remainder of 4
Step-by-step explanation:
so he had 5 goats and 19 carrots
19/5=3.8 which mean 3 and 4 left
Help me please this is due in 3 hour's
What are the steps to convert a number from standard notation to scientific notation
Answer:
Step-by-step explanation:
Let's take 4200 as an example.
To convert 4200 into scientific notation, follow these steps:
- Move the decimal 3 times to left in the number so that the resulting number, m = 4.2, is greater than or equal to 1 but less than 10
- Since we moved the decimal to the left the exponent n is positive
n = 3
- Write in the scientific notation form, m × 10^n
= 4.2 × 10^3
Therefore, the decimal number 4200 written in scientific notation is 4.2 × 10^3 and it has 2 significant figures.
At the beginning of a trip, the tank of Diana’s car was filled with gasoline to half of its capacity. During the trip, Diana used 30 percent of the gasoline in the tank.
At the end of the trip, Diana added 8 gallons of gasoline to the tank.
Let the capacity of the tank of Diana’s car be x gallons. Write an expression representing the number of gallons of gasoline in the tank after Diana added gasoline to the tank at the end of the trip? Enter an expression in the simplified form.
Capacity of tank be x
At end of journey the tank was half filled.
Hence x/2 filledNow used percentage is 30%
[tex]\\ \sf\longmapsto \dfrac{30x}{200}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{20}x[/tex]
Now
added gasoline=8gallonExpression:-
[tex]\\ \sf\longmapsto \dfrac{3}{20}x+8[/tex]
Alicia is a nurse.
In 2016, she earned a monthly salary of £1750
In 2017, she was awarded a 2% pay increase on her monthly salary.
Given that in 2017 Alicia worked 45 hours per week for 48 weeks,
work out her average pay per hour for the year.
WILL MARK BRAINLIEST IF
- Answer is correct
- Answer is detailed
WILL NOT MARK BRAINLIEST IF:
-Contains links
-Answer not detailed
-Answer incorrect
(P.s: must be 2 answers pls)
Thanks
Answer:
See below
Step-by-step explanation:
2% increase on 1750=
1750 * 1.02 = 1785
1785 per month gives 1785 * 12 = 21420 per year.
Divide 21420 by 48 weeks = 446.25 per week
Divide 446.25 by 45 hours = 9.92 per hour
Multiplication is the process of multiplying. Alicia's earnings per hour for the year 2017 is £9.92 per hour.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The monthly salary of Alicia in 2016 was £1750, which was increased by 2% in 2017. Therefore, the salary in 2017 will be,
(100%+2%) of £1750
= 1.02 × £1750
= £1785 per month
Since a year has 12 months, therefore, the earnings for the complete 2017 year will be,
Total Earning = 12 × £1785 = £21,420
As given Alicia worked 45 hours per week for 48 weeks, therefore, the number of hours will be
Number of hours = 45 hours × 48 weeks = 2,160 hours
Now, the earnings per hour can be written as,
Earning per hours = £21,420/2,160 hours = £9.92/ hour
Hence, Alicia's earnings per hour for the year 2017 is £9.92 per hour.
Learn more about Multiplication:
https://brainly.com/question/14059007
#SPJ2
-3x + 4y = -15 and 4x - y = -19
4x - y = -19
=> -3x + 4y = -154(4x - y) = 4(-19)
=> -3x + 4y = -1516x - 4y = -76
=> 13x = -91=> x = -7Now, let's substitute the 'x' value in the equation.
=> -3(-7) + 4y = -15=> 21 + 4y = -15=> 4y = -21 - 15=> 4y = -36=> y = -9Conclusion:Therefore, the answers are:
x = -7y = -9Hoped this helped.
[tex]BrainiacUser1357[/tex]
Answer:
(-7, -9).
( x = -7 and y = -9)
Step-by-step explanation:
-3x + 4y = -15
4x - y = -19
Multiply second equation by 4:
16x - 4y = -76
Add this equation to the first to eliminate y:
13x = -15 + -76
13x = -91
x = -7.
Substitute this into equation 2:
4(-7) - y = -19
-y = -19 + 28
-y = 9
y = -9.
An ice cream machine produced 45 ice cream sandwiches per minute. After reconditing, its speed increased to 54 ice cream sandwich's per minute. By what percent did the speed of the machine increase?
Number of ice cream produced before = 45
Number of ice cream produced after = 54
Find:Percent of speed the machine increase
Computation:Percent of speed the machine increase = [Number of ice cream produced after - Number of ice cream produced before] / Number of ice cream produced before
Percent of speed the machine increase = [(54 - 45) / 45]100
Percent of speed the machine increase = [9 / 45]100
Percent of speed the machine increase = 20%
Learn more:https://brainly.com/question/15013012?referrer=searchResults
Percent of speed the machine increase is 20%
Gabriella and her children went into a restaurant where they sell hotdogs for $4 each and tacos for $2 each. Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether. Also, she must buy no less than 2 hotdogs. If xx represents the number of hotdogs purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
A possible solution to the inequality is 2 hotdogs and 8 tacos.
Let x represents the number of hotdogs purchased and y represents the number of tacos purchased.
Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether.
Hence:
4x + 2y ≤ 30 (1)
x + y ≥ 9 (2)
Also:
x ≥ 2 (3)
A possible solution to the inequality is 2 hotdogs and 8 tacos.
Find out more on inequality at: https://brainly.com/question/241541
What is 39,800,000 in scientific notation? A. 3.98 x 10 B. 398 x 10 C. 3.98 x 10 D. 39.8 x 10
Answer:
3.98 x 10^7
Step-by-step explanation:
Answer:
3.98 x 10⁷Review:
What is scientific notation: It is a number that is between 1-10 and is written in exponents.
Instruction:
We need to re-write the number "39,800,000" that is between 1-10 and is written in exponents.
Solution:
=> 39,800,000 = 398 x 10⁵This is still not in scientific notation form because it is not between 1-10. Let's simplify further.
=> 398 x 10⁵ = 3.98 x 10⁵⁺²=> 3.98 x 10⁷This is now in scientific notation form because it follows the 2 reasons to form a scientific notation.
Conclusion:
Therefore, 3.98 x 10⁷ is the number in scientific notation.
[tex]BrainiacUser1357[/tex]
Can someone help me with this please
Answer:
C) The difference between the 75th and 25th percentiles is 12 inches.
Step-by-step explanation:
The interquartile range is the length of the "box" in a "box and whisker" plot. One end is the 25th percentile, and the other end is the 75th percentile. It is the difference between the maximum and minimum of the middle 50% of the data.
For the baker's loaf-length data set, the interquartile range being 12 inches means the loaves in the 75th percentile are 12 inches longer than the loaves in the 25th percentile. This could be described by choice C.
hurry plz!!! I need help
Answer: See below
Step-by-step explanation:
The general transformation equation for an absolute value function is
y=a | x−h |+k.
f(x)=|x+4|
Horizontal translation 4 units left (positive value, move left)
f(x)=|x|-4
Vertical translation down 4 units (negative k value, move down)
f(x)=|x-4|
Horizontal translation 4 units right (negative value, move right)
f(x)=|x|+4
Vertical translation up 4 units (positive k value, move up)
If sixteen dried beans weigh one ounce, then how many dried beans wiring one pound
Answer:
96 dried beans will weigh one pound
Need help on geometry TO PASS My Class so can you help please
Answer:
x=12
Step-by-step explanation:
since it is an equilateral triangle the angle r all the same the angle have to equal 60
Since it's a equilateral triangle.
[tex]\\ \sf\longmapsto 5x+5x+5x=180[/tex]
[tex]\\ \sf\longmapsto 15x=180[/tex]
[tex]\\ \sf\longmapsto x=12[/tex]
m<S=5x=60°the side length of a square is n cm.
Answer:
(c) Alicia, Bart, and Diego's answers are equivalent
Step-by-step explanation:
The perimeter of a square is the sum of the side lengths
n + n + n + n . . . . . Alicia's answer
= (n +n) +(n +n) = 2n +2n . . . . . Diego's answer
= (2 +2)n = 4n . . . . . . Bart's answer
Alicia, Bart, and Diego's answers are equivalent.
The difference between total surface area and curved surface area of a hemisphere is 154 cm^2, find it's volume.
Answer:
Surface area of a sphere=4πr
2
=154cm
2
⇒4×
7
22
r
2
=154cm
2
⇒r
2
=
4
154
×
22
7
⇒r
2
=
4
49
⇒r=
4
49
∴r=
2
7
=3.5cm
Volume of the sphere=
3
4
πr
3
=
3
4
×
7
22
×(3.5)
3
=
21
88
×42.875=179.67cm
3
I need these answers in 5 MINUTES PLZ HELP
Answer:
30? I might be wrong soooo
Step-by-step explanation:
15*2=30
What is the area, in square feet, of the shape below? Express your answer as a fraction in simplest form.
What is the difference between log(x/y) and log(x)/log(y)?