Answer:
[tex]4 * p * 4 * p = 4^2p^2[/tex]
Step-by-step explanation:
Given
[tex]4 * p * 4 * p[/tex]
Required
Write as exponents
[tex]4 * p * 4 * p[/tex]
Rearrange to collect Like Terms
[tex]4 * 4 *p * p[/tex]
Group both items
[tex](4 * 4) *(p * p)[/tex]
Apply law of indices
[tex](4^{1+1})(p^{1+1})[/tex]
[tex](4^2)(p^2)[/tex]
Remove bracket
[tex]4^2p^2[/tex]
Hence:
[tex]4 * p * 4 * p = 4^2p^2[/tex]
If one inch represents 12 feet what dimension would you use to make a scale drawing of a building 75 feet by 80 feet?
Answer:
6.25 inch by 20/3 inch (6.67 inch).
Explanation:
Use the scale as a conversion factor.
Scale: 1 inch = 12 feet
Conversion factor: by the division property of equaltiy you can divide each side by 12 feet
1 inch / 12 feet = 1
Convert 75 feet:
75 feet × 1 inch / 12 feet = 6.25 inch
Convert 80 feet:
80 feet × 1 inch / 12 feet = 20/3 inch ≈ 6.67 inch
Thus, the dimesions to make a scales drawing of 75 feet by 80 feet are 6.25 inch and 20/3 inch (6.67 inch).
Complex Numbers
Subtract.
7-(-6+3i)-(-3-i)
The midpoint of MN is point P at (-4, 6). If point M is at (8, -2), what are the coordinates of point N?
O (-16, 14)
O (-10,5)
O (22)
O (6,2)
Answer:
N(- 16, 14 )
Step-by-step explanation:
Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ )
Use this formula and equate to the coordinates of the midpoint P
let the coordinates of N = (x, y ), then
[tex]\frac{1}{2}[/tex](8 + x ) = - 4 ( multiply both sides by 2 )
8 + x = - 8 ( subtract 8 from both sides )
x = - 16
[tex]\frac{1}{2}[/tex] (- 2 + y ) = 6 ( multiply both sides by 2 )
- 2 + y = 12 ( add 2 to both sides )
y = 14
Thus
coordinates of N = (- 16, 14 )
if DF = 61 and EF = 18, find DE
The measure of length DE if DF = 61 and EF = 18 is 43
From the question, we are given the following measurement:
DF = 61
EF = 18
Required:
DE
Using the expression to find the measure of DE
DE + EF = DF
Substitute the given values
DE + 18 = 61
Subtract 18 from both sides
DE + 18 - 18 = 61 - 18
DE = 43
Hence the measure of DE is 43
Learn more here: https://brainly.com/question/3835962
tracy has a dozen doughnuts. julius gives her 6 more. tracy and julius then eat a of 3 doughnuts.
Answer:
9
Step-by-step explanation:
12-6+3= 9
solve for x. Round to the nearest tenth.
8y + 2 = 5y - 7
Answer:
the answer would be y=
Step-by-step explanation:
y=-3
solve for x need asap!!
Answer:
27
Step-by-step explanation:
They are vertical angles, and vertical angles are always equal, so set them equal to each other
2x + 1 = 55
Subtract one
2x = 54
Divide by 2
x = 27
Answer:
x = 27
Step-by-step explanation:
Its a vertical pair or angles so they equal each other.
55 = (2x + 1)
Get rid of parentheses.
55 = 2x + 1
Subtract 1 on both sides.
54 = 2x
Divide 2 on both sides.
x = 27
?????? help pls lolll
Answer is -9
Multiplying by 1/4 is the same as dividing by 4
-36(1/4) = -36/4 = -9
If l||m and m∠6 = 4x - 15 and m∠7 = x + 30, then m∠6 = 15 35 39 45
Answer: 45
Step-by-step explanation:
4x-15 = x+30
3x = 45
x = 15
Then plug 15 into the equation to get the answer of 45.
Chris worked 51 hours last week. His rate is $31.00 per hour. What were his gross earnings for the week?
Answer:
Step-by-step explanation:
51 x $31 an hour = $1581 is his gross earnings for the week
14 ➗ 374
Please help me I need this I’m dumb
Answer:
The answer is 0.037433155
Step-by-step explanation:
I WILL GIVE BRAINILEST!!! Elvira is interested in collecting data about how many students use each of the tables during each lunch period. She has recorded some data on Post-It Notes to analyze later. Here are the notes she has recorded: ● Some students are sitting at the front table. (I got distracted by an incident in the back of the lunchroom,and forgot to record how many students.) ● Each of the students at the front table has been joined by a friend, doubling the number of students at the table. ● Four more students have just taken seats with the students at the front table. ● The students at the front table separated into three equal-sized groups. One group remained and all the other students left. ● As the lunch period ends, there are still 12 students seated at the front table. a) Create an equation and solve it to answer the above question. b) If the bullet points were in a different order, would the equation and answer still be the same? Use an example to help explain your answer.
Answer:
yes
Step-by-step explanation:
2 plus 2 is 4
A cylinder has a radius of 7 cm and a height of 12 cm. Calculate the total surface area. (Take π = 22/7
Total surface area of cylinder :
[(22/7)(7)²] × 2 ( area for 2 circles )
+
[ 2(22/7)(7) ] ×12 ( circumference of circle × height )
=
836 cm²
i hope my solution helps :))
Casey dug a cubical hole to bury a memory box as a time capsule. The volume of the dirt he removed is 729 cubic inches. How many inches deep is the hole?
Answer:
The hole is 9 inches deep
Step-by-step explanation:
Volume of a cubicle hole = a^3
Where a= side edge of the cube
Volume of dirt removed = 729 cubic inches
How many inches deep is the hole
Volume of a cubicle hole = a^3
729 = a^3
Find the cube root of both sides
3√729 = 3√ a^3
9 = a
a= 9 inches
The hole is 9 inches deep
Check:
9^3
=9 *9*9
= 729
The calculator has a broken 1 key and broken 7 key ,and a broken plus key .Write at least on way to make each of the following numbers 17,41,71,.
five states in a country have 4 star hotels. Assume the country has 50 states. (a) what fraction of the states can claim at least one four star hotel? (b) how many states do not have a four star hotel (c) write a fraction of states without a four star hotel
Part A:
Since five states have four-star hotels, only those five states can claim at least one four-star hotel and since there are 50 states, we can write this as 5/50 or 1/10.
Part B:
50 - 5 = 45 states don't have a four-star hotel.
Part C:
45/50 or 9/10 of the states do not have a four-star hotel.
Best of Luck!
Answer:
The fraction of states with a four-star hotel 9/10.
The number of states without a four-star hotel is 5
The fraction of states without a four-star hotel is 1/10
NOT 45.
(02.01)Line segment EF has a length of 5 units. It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'. What is the length of E'F'?
5 units
6 units
10 units
25 units
The line segments are translated 2 units to the left to form J'K' and M'N'. Which statement describes J'K' and M'N'?
Line segments J'K' and M'N' do not intersect and are closer together than JK and MN.
Line segments J'K' and M'N' intersect at (−2, 0) and are two times farther apart than JK and MN.
Line segments J'K' and M'N' intersect at (0, −2) and are two times closer together than JK and MN.
Line segments J'K' and M'N' do not intersect and are the same distance apart as JK and MN.
Answer:
The answer is "Option a and Option d".
Step-by-step explanation:
In the given-question, the numbering of the choices was missing so, we define the number after that we define its explanation:
In question 1, the translations were only the axis, which moves in the length of a segment, that doesn't change. Even so, the graph shifts only by growth, that's why the E'F 'duration will be the same as the EF length, which equals to "5 units".
In question 2, both JK and MN shifts to the left two units, and there would be no difference throughout the space between them, that's why the choice "d" will be correct.
James is a manager for a fast food hamburger stand. He makes a straight salary of $28,000 in 2004 but will receive a $1,000 raise every year. Which of the following statements are true? Select all that apply. Group of answer choices $28,000 + $1,000y describes his salary $28,000y + $1,000 describes his salary After 3 years James can earn more money if he changes to a job that pays him $29,000 plus a $500 raise each year.
Answer:
$28,000+$1,000y and After 3 years James can earn more money if he changes to a job that pays him $29,000 plus a $500 raise each year
Please help with this I still do not know what I am doing
Answer:
See Below
Step-by-step explanation:
150 = p + 78 ------ you want to get the p to one side and the other number the the other side of the =
(78 - 150) = p (78 - 78) ---- what ever you do to one side you do to the other
72 = p
s - 51 = 12 (same thing as above)
s (-51 + 51) = 12 + 51
s = 63
65 = blank + 7 ( you can put a letter like x or y because they number is not determined yet)
65 = x + 7 (same as above)
( 7 - 65 ) = x ( 7 - 7 )
58 = x
Simplify using order of operations: 10/2+3+6+3/3
Answer:
15
Step-by-step explanation:
10/2 + 3 + 6 + 3/3
= 5 + 3 + 6 + 1
= 15
15 is the answer.
what is a geometric sequence with a first term of 3/4 and a constant ratio of 4
Answer:
Below
Step-by-step explanation:
A geometric sequence is a sequence where you keep multiplying a term by the ratio to generate the next one.
The first term is 3/4
Let n0 = 3/4
The next term is n1.
To get n1 we must multiply n0 by the ratio 4.
● n1 = n0×4
This formula gives us the second term. We need a general one that can generate all the terms of the sequence.
Let S(n) be a term of this sequence.
To get n we have multiplied n0 (the first term) by 4 (the ratio) one or many times. Precisely, n times.
So:
● S(n )= n0 ×4^n
no is 3/4
● S(n)= (3/4) × 4^n
This formula generates any term from this geometric sequence. If you want to calculate the 77th term then just replace n with 77.
Answer:
Step-by-step explanation:
To find the next term, multiply the previous term by constant ratio
a₁ = 3/4
[tex]a_{2}=\frac{3}{4}*4=3*1 = 3\\[/tex]
a₃ = a₂ * constant ratio = 3 * 4 = 12
a₄ = a₃ * constant ratio = 12 *4 = 48
Geometric sequence :
3/4, 3,12, 48, 192,.......
xavier climbs 9 feet up into an apple tree. what integer represents the direction and how far he will climb to get back down to the ground? what does the integer 0 represent in the situation? the integer _______ represents Xavier's climb down. the integer 0 represents _____________. how are the absolute vales of opposite integers related?
PLEASE HELP!!!!!
Answer:
1. 9 feet
2. The ground
3. Absolute values of opposite numbers are the same
Step-by-step explanation:
Given
Distance up the apple tree = 9 feet up
Solving (a): How far he'll climb to come down
In this case, the distance from the ground up to the tree is the same distance back to the ground.
In other words;
Since he climbs 9 feet up, then he'll climb 9 feet down to the ground
Solving (b): What 0 represents
In this case, 0 represents the ground
Solving (c): Absolute values
The absolute values of opposite numbers (from negative to positive) are the same
Take for instance:
[tex]|-9| = 9[/tex]
[tex]|-3| = 3[/tex]
And so on...
What conditions would determine whether or not two numbers' GCF is equal to one of the original numbers?
Step-by-step explanation:
GCF is literally abbreviated to "Greatest Common Factor". In order for two numbers to have the same GCF they must have a number that they both could be multiplied by.
I also suggest using a factor tree. Super useful when figuring out the rest of the common factors.
(love ur picture of aang btw)
Write a unit rate that compares the quantities described.
180 people on 3 planes.
Answer:
Hey there!
The correct answer is 60 people on one plane.
Hope this helps :)
Answer: 60:1
Step-by-step explanation: it asks for a unit rate I'm not trying to catch beef but the above is half answered thank you for your time.
9x/10y=7/w solve for w
Answer:
[tex]w = \frac{70y}{9x} [/tex]Step-by-step explanation:
[tex] \frac{9x}{10y} = \frac{7}{w} [/tex]First of all cross multiply
We have
[tex]9xw = 70y[/tex]Next divide both sides by 9x to make sure that w stands alone
That's.
[tex] \frac{9xw}{9x} = \frac{70y}{9x} [/tex]We have the final answer as
[tex]w = \frac{70y}{9x} [/tex]Hope this helps you.
I run at a constant pace, and it takes me 18 minutes to run to the store from my house. If the store is 2 miles away, and my friend's house is 1 mile away from my house, how many minutes will it take me to run from my house to my friend's house?
Answer:
9 minutes
Step-by-step explanation:
if the store is 2 miles, and your friends house is 1, and you run at a constant pace both times, youre dividing the time in half
18 divided by 2 = 9
Answer:
10 minutes
Step-by-step explanation:
Please help me. I'm confused.
Answer:
u is 4 and v is 18
Answer:
v = 18 ; u = 4
Step-by-step explanation:
In a parallelogram , the diagonals bisect each other . So,
v/3 = 6 ................ eqn.1
and
2u + 2 = 5u - 10 ................. eqn.2
From eqn.1,
v/3 = 6
=> v = 6×3 = 18
From eqn.2,
2u + 2 = 5u - 10
=> 5u - 2u = 10 + 2
=> 3u = 12
=> u = 4
Can someone please help me with this problem
Please Help A Dude
And sorry for the sucky pic
Answer:
B
Step-by-step explanation:
by a rule of angles in parallel lines we have that
angle 4 + angle 5 =180
so we have
(3x+15)+(2x-10)=180
(3+2)x+(15-10)=180
5x+5=180
5(x+1)=180
x+1=36
x=36-1
x=35
Answer:
B. 35
Step-by-step explanation:
<4 and <5 are supplementary angles and their sum is = 180°
3x + 15 + 2x - 10 = 180 add like terms
5x + 5 = 180
5x = 175
x = 35
Hi. im kinda stuck on this question.
Any help would be appreciated.
Find the operation used in solving the question and answer the questions that follow .
Answer:
26)11
27)5
28)20
hope this helps :)
Answer:
The addition sign is adding on 4 to the problem
Step-by-step explanation:
Take the first on for example
8+2=14
8+2=10
The + would add 4 to the problem :)