Answer:
length of each edge = (x + 3)
Step-by-step explanation:
The surface area of each face of the cube = ([tex]x^{2}[/tex] + 6x + 9) [tex]m^{2}[/tex]. But the surface of a cube has the shape of a square. So that,
Area of a square = length x length
= [tex]l^{2}[/tex]
By factorizing the area,
[tex]x^{2}[/tex] + 6x + 9 = [tex]x^{2}[/tex] + 3x + 3x + 9
= ([tex]x^{2}[/tex] + 3x) (3x + 9)
= x(x +3) + 3(x + 3)
= (x + 3)(x + 3)
= [tex](x + 3)^{2}[/tex]
[tex]x^{2}[/tex] + 6x + 9 = [tex](x + 3)^{2}[/tex]
Thus,
[tex](x + 3)^{2}[/tex] = [tex]l^{2}[/tex]
find the square root of both sides
l = (x + 3)
length of each edge = (x + 3)
The length of a rectangle is 15 more than 3 times the width. The perimeter is 110. What is the area
Answer:
450 units squared
Step-by-step explanation:
2(length)+2(width)=Perimeter
W=x Length=15+3w Perimeter=110
2(15+3w)+2w=110
30+6w+2w=110
8w=80
w=10
So: Length is 45 and Width is 10
Area is l*w
Area=45*10
Area is 450 units squared
-2(v – 7) – 8v(-2v – 8)
Answer:
= 16v^2+62v+14
Step-by-step explanation:
I recommend you using the website "Symbolab Algebra Calculator". It will really help you.
If he starts at 1 and jumps 3 units to the right, then where is he on the number line? How far away from zero is he? (explain how you got the answer)
Answer:
4, he is 4 spaces away from zero.
Step-by-step explanation: I know things
Can someone help me with this?
Use a single digit times a power of 10 to estimate the number 0.00002438 .
Rounded to the nearest , the number 0.00002438 is wut i will give you brainliest
Answer:
2x10^-6
Step-by-step explanation:
Use a single digit times a power of 10 to estimate the number 0.00002438 .
Rounded to the nearest , the number 0.00002438
0.00002438
2x10^-6
When x=0 then
2x10^{-6}=0.000024
The cost of a concert ticket last week was $75. This week the concert ticket is $84. What is the percent increase of the ticket from last week to this week’
Answer:
12%
Step-by-step explanation:
Complete the steps to solve the equation 3x + 11 = 29.
Answer:
6
Step-by-step explanation:
3x+11 = 29
3x = 29 - 11 = 18
x = 18/3 = 6
Sydney is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number of rides she went on is 3 more than the number of games she played. Determine the number of games Sydney played and the number of rides Sydney went on.
Find the next three terms for the following arithmetic
sequence:
-3,-1, 1,
Answer:
3, 5
Step-by-step explanation:
It is counting up by +2
Answer:
3 and 5
Step-by-step explanation:
The common difference d in an arithmetic sequence is
d = a₂ - a₁ = - 1 - (- 3) = - 1 + 3 = 2
To obtain a term in the sequence add d = 2 to the previous term, that is
a₄ = a₃ + 2 = 1 + 2 = 3
a₅ = a₄ + 2 = 3 + 2 = 5
Harry is reading a book that is 597 pages long. He tells a friend that he is about 2/3 of the way done. About how many more pages must Harry read before he finishes the book?
Answer:
This reading habit has helped me finish 7 books in 10 weeks. ... reports he had brought with him and said, “Read 500 pages like this every day. ... You simply have to make time to read.
Which angle number represents <KHI?
Answer:
8,9,11
Step-by-step explanation:
A-1
B-2
C-3
D-4
E-5
F-6
G-7
H-8
I-9
J-10
K-11
L-12
M-13
N-14
O-15
lines m and n are parallel. what is the measure of angle 4?
a) 25 degrees
b) 55 degrees
c) 115 degrees
d) 145 degrees
A carpenter has a wooden stick that is 84 centimeters long. She cuts off 25% from the end of
the stick. Then she cuts the remaining stick into 6 equal pieces. What is the length of each
piece?
How did you get 63?
=======================================================
Explanation:
25% = 25/100 = 0.25
25% of 84 = 0.25*84 = 21
So 21 cm has been cut off, leaving 84-21 = 63 cm left over
Or you could say that if 25% has been cut off, then 75% of the stick remains
So, 75% of 84 = 0.75*84 = 63 cm remains.
The remaining length of 63 cm is cut into 6 equal pieces
Each smaller piece is 63/6 = 10.5 cm long
Math homework plz help
Answer:
19
Step-by-step explanation:
38/2=19
Answer:
r = 19
Step-by-step explanation:
2r = 38 (Given)
r = 19 (Divide by 2 on both sides)
Solve −5z+1<−14.
solution is __
Answer:
z>3
Step-by-step explanation:
Answer:
Z>3 ..hope this helped!
Step-by-step explanation:
A recipe calls for 2 1/2 cups of flour. The recipe makes 5 servings. How many cups of flour are needed to make 7 servings?
Answer:
Step-by-step explanation:If a recipe calls for 2 1/2 cups of flour and you want to make five times the ... However, measuring flour in cups is far from precise and the dish, pie or cake you ... So for example if your recipe with 2 1/2 cups flour calls for 1 cup water when you make a 5 ... If I used 4 cups of flour, how much of the other ingredients are needed
PLS help me
if you get it right i will give brainliest
Answer:
yes I think
(correct me if I'm wrong)
Answer : 34
Step-by-step explanation:
Solution,
Given,
base = 16
perpendicular = 30
hypotenuse = ?
Now,
By the formula of Pythagoras Theorem,
h^2 = p^2 + b^2
h^2 = 30^2+16^2
h^2 = 900+256
h = sqrt ( 1156 )
h = 34
Therefore, the value of x (hypotenuse) is 34.
Tessa likes to carve bird and cat figures out of wood. She has carved 4 times as many bird figures as cat figures. If Tessa has carved 24 bird figures, how many figures has she carved altogether?
Tessa carved a total of 30 figures including bird and cat figures.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
let, The number of cat figures is 'x'.
Given, She has carved 4 times as many bird figures as cat figures.
Therefore, 4x = 24.
x = 24/4.
x = 6.
So, Tesaa carved 6 cat figures and hence she carved a total of
24 + 6 = 30 figures.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ1
Plz can give me the correct answer
Answer:
29
Step-by-step explanation:
Answer:
-3.4 or in fraction form 3 2/5
Step-by-step explanation:
2/5 = h+5/4
8=5h+25
-5h -5h
-5h+8=25
-8 -8
-5h=17
5 5
h=-3.4
Describe the transformation that occurred
h(x) = 1/5f(x)
Answer:
Step-by-step explanation: To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Vertical compression
Mr. Gorelick has gone crazy. He has climbed up to the rafters of the gym 35 feet up and has taken with him a large number of basketballs. Mr. Gorelick can throw a basketball so hard at an angle of declination of 40 degrees that it will knock you out for 17 hours. How far does one of his basketballs travel before hitting someone in the head?
Answer:
Let the amount of feet be x
Let declination be y
so 35x at a declionation of 40 degrees 35x+40y=feet traveled before hitting the head
35x
40y
35x +40y= 40-y =35x+40-y
and 35x=35-x
35+40=x-y
The ball travels 43ft
Jk its free points lol
Step-by-step explanation:
Maths please, (1,2 and 3) soon please
Answer:
1 = number 2 (12x^3 + 20x^2)
2= number 1, 10^3
3= not sure, i suppose it is 5/8
Step-by-step explanation:
The number 30 is divisible by... select all that apply.
15 points
2
3
4
5
6
9
10
Answer:
2,3,5,6,10
Step-by-step explanation:
Make a graph that matches the rule y=2x – 3.
(Need help ASAP)
Answer:
Answer in image below :)
Step-by-step explanation:
-8 is a term.
Yes
No
Answer:
yes
Step-by-step explanation:
A furniture store is getting ready for a big sale and marking all their prices down by 45%. If one of their items is regularlly priced at $375, what is the sale price?
Answer:
$206.25
Step-by-step explanation:
Regular price of item = R= $375
Price after 45% off = (1-0.45) x 375
=$ 206.25
How many points does a graph of the polynomial function crosses the y-axis?
Select one:
a. 0
b. 1
c. n times if n is the degree of the polynomial function
d. Many times
Answer:
B. 1
Step-by-step explanation:
It is impossible for a function to cross y-axis more than two points. As there cannot be two y-values in a single x-value.
Basically there are no functions that cross y-axis more than two points.
Mary’s cat lost two pounds in five weeks. Which rational number does not show the average change in the cat’s weight?
A. −(2/5)
B. −2/5
C. −2/−5
D. 2/-5
Answer:B
Step-by-step explanation:
Answer:
The answer is C. -2/-5
Step-by-step explanation:
I tried B, but it was incorrect, so then I tried C, turns out C was correct my dudes.
A person invests $485 in an account that earns 2.2% annual interest compounded continuously. Find
when the value of the investment reaches $2,200. If necessary, round to the nearest hundredth.
The investment will be reach $2,200 in approximately ______ years.
Answer:
12 years
Step-by-step explanation:
Find a pair of numbers that have a sum of −3 and a difference of −7.
Answer:
x = -5 and y = 2
Step-by-step explanation:
You want to start by writing these two equations:
x + y = -3
and
x - y = -7
Then, you want to add the solutions to these two equations, like so:
-3 + -7 = -10
Then, to find the x value, because x > y, divide the answer by two:
-10/2 = -5
So, the x value is -5.
With this information, you can figure out that the y value is 2.
Check the answer:
-5 + 2 = -3
-5 - 2 = -7
Hope this helped