Problem 4
Answer: 136 feet--------------
Work Shown:
1/2 = 0.5
3 and 1/2 ft = 3 + 1/2 = 3.5 ft
Each window is 3.5 ft by 5 ft. The perimeter is 2*(L+W) = 2*(3.5+5) = 17 ft
Or you could say 3.5+3.5+5+5 = 7+10 = 17
One window's perimeter is 17 feet, so 8 of these identical windows leads to 8*17 = 136 feet
===========================================================
Problem 5
Answer in exponential form = 10^4 keys
Answer in standard form = 10,000 keys
--------------
Work Shown:
For now, let's just consider 1 day. Also, let's consider one elf.
One elf makes 10 xylophones, and each xylophone has 10 keys. This means we have 10*10 = 100 keys so far. We can write this as 10^2.
If we then move onto 10 elves, then we have 10*10^2 = 10^3 = 1000 keys.
You could also write it as 100+100+100+... and add up ten copies of 100. This is because each elf is doing the same thing (making 100 keys)
So far we've shown that in the course of one day, we have 1000 keys.
We'll multiply this by 10 to get the final answer 10*1000 = 10,000 = 10^4
You could also do 1000+1000+1000+... and add up ten copies of 1000 to represent adding up the amounts made per days over the ten days.
In short, we basically do: 10*10*10*10 = 10^4
As you can probably see by now, the exponent tells us how many copies of the base to multiply together.
The graph of the function f(x) = x^2 will be shifted 2 units up, 1 unit left, and rotated 180 degrees. What is the resulting function g(x)?
Answer:
g(x) = - (x+1)^2 +2
Step-by-step explanation:
1. Shifting up 2 units is y = x^2 + 2
2. Shifting to the left is y = (x + 1)^2
3. Rotating 180 degrees is just flipping the x-axis which means the whole equation becomes negative, y = -x^2
4. Therefore if you add it all up it becomes y = - (x+1)^2 +2
Alex paid $6 for renting a movie for 3 days. Which graph shows the relationship between the costs of renting a movie for different days?
Answer: where are the graphs
Step-by-step explanation:
Answer:
her the graphs
Step-by-step explanation:
50,56,62,68 what is the 12th term
Al factorizar el trinomio cuadrado perfecto, obtenemos el siguiente resultado: (que no se como resolver) xd algun pro que sepa resolverlo?
Answer:
[tex]\displaystyle \frac{100}{81}m^8p^{12}q^{16}z^2-\frac{20}{63}m^5p^7q^8z^5+ \frac{1}{49}m^2p^2z^8=\left(\frac{10}{9}m^4p^{6}q^{8}z-\frac{1}{7}mpz^4\right)^2[/tex]
Step-by-step explanation:
Trinomio Cuadrado Perfecto
El producto notable llamado cuadrado de un binomio se expresa como:
[tex](a-b)^2=a^2-2ab+b^2[/tex]
Si se tiene un trinomio, es posible convertirlo en un cuadrado perfecto si cumple con las condiciones impuestas en la fórmula:
* El primer término es un cuadrado perfecto
* El último término es un cuadrado perfecto
* El segundo término es el doble del proudcto de los dos términos del binomio.
Tenemos la expresión:
[tex]\displaystyle \frac{100}{81}m^8p^{12}q^{16}z^2-\frac{20}{63}m^5p^7q^8z^5+ \frac{1}{49}m^2p^2z^8[/tex]
Calculamos el valor de a como la raiz cuadrada del primer término del trinomio:
[tex]\displaystyle a=\sqrt{\frac{100}{81}m^8p^{12}q^{16}z^2}[/tex]
[tex]\displaystyle a=\frac{10}{9}m^4p^{6}q^{8}z[/tex]
Calculamos el valor de a como la raiz cuadrada del primer término del trinomio:
[tex]\displaystyle b=\sqrt{\frac{1}{49}m^2p^2z^8[/tex]
[tex]\displaystyle b=\frac{1}{7}mpz^4[/tex]
Nos cercioramos de que el término central es 2ab:
[tex]\displaystyle 2ab=2\frac{10}{9}m^4p^{6}q^{8}z\frac{1}{7}mpz^4[/tex]
Operando:
[tex]\displaystyle 2ab=\frac{20}{63}m^5p^7q^8z^5[/tex]
Una vez verificado, ahora podemos decir que:
[tex]\displaystyle \frac{100}{81}m^8p^{12}q^{16}z^2-\frac{20}{63}m^5p^7q^8z^5+ \frac{1}{49}m^2p^2z^8=\left(\frac{10}{9}m^4p^{6}q^{8}z-\frac{1}{7}mpz^4\right)^2[/tex]
A soup can has a height of 4 cm and a radius of 3 cm
Answer:
what's the question
................
30 cents in each dollar is a paid tax. what fraction is paid in tax? what percentage is not paid in tax?please i need an answer within 10 minutes I'm In an exam
Answer:
30 cents of a dollar is 30% tax paid and 70% not paid.
A dollar is 100 cents.
Step-by-step explanation:
zora recently got an afterschool job to save money to buy a car. She opened a savings account and deposits a fixed amount each week so that she can quickly meet her savings goal. The table below shows the relationship.
Answer:
40
Step-by-step explanation:
The initial value of the function is 40, which represents the amount of money she deposits each week
what does 30000000000-29293939939 equal
Answer:
706060061
Step-by-step explanation:
hope this helps :D
Can an isoceles triangle be an obtuse triangle? Explain.
Answer:
it can and cant at the same time.
HEY I NEED HELP FOR DIS QUESTION. I WILL MARK BRAINLIEST FOR THE BEST ANSWER. PLEASE SHOW ALL WORK AND FULL SOLUTIONS. The volume of this can is about 1846 cm^3. The radius is 7. What is its height?
9514 1404 393
Answer:
12.0 cm
Step-by-step explanation:
Use the formula for the volume of a cylinder. Fill in the given values and solve for the height.
V = πr^2h
1846 cm^3 = π(7 cm)^2·h
h = 1846/(49π) cm ≈ 12.0 cm . . . . . . divide by the coefficient of h
The height of the can is about 12.0 cm.
A model car is built to a scale of 1 in. : 2.5 ft. If the model is 5.8 in. Long how long is the car in real life?
Answer:
14.5 ft
Step-by-step explanation:
We are told that the model car is built to a scale of 1 in. : 2.5 ft.
That means 1 inches represents 2.5 ft in actual measurement.
Thus, for a 5.8 inch long model, the real life measurement is;
(5.8 inch × 2.5 ft)/1 inch = 14.5 ft
Find the first five terms of the following sequence, not including the oth term:
t(n) = 25+ 8n
Answer:e
B
Step-by-step explanation:
Eb
can someone please answer this
Answer:
y = -0.6x + 24.6
Step-by-step explanation:
100 students are interviewed to see which of biology, chemistry or physics they prefer. 49 of the students are girls. 22 of the girls like biology best. 15 of the boys prefer physics. 21 out of the 35 who prefer chemistry are girls. What percentage of the students prefer biology
Answer:
44%
Step-by-step explanation:
Total number of students = 100
Number of girls = 49
So,
Number of boys = Total number of students - Number of girls = 100 - 49 = 51
Number of girls liking biology the best = 22
Number of girls liking chemistry = 21
Total number of students liking chemistry = 35
So,
Number of boys liking chemistry = 35 - 21 = 14
Number of boys liking Physics = 15
Number of boys liking biology = Total number of boys - Number of boys liking Physics - Number of boys liking Chemistry = 51 - 14 -15 = 22
Total number of students (girls and boys) liking biology the best = Number of boys liking Biology + Number of girls liking Biology = 22 + 22 = 44
Percentage of students who prefer bio = [tex]\frac{44}{100} \times 100 = \bold{44\%}[/tex]
Which of the following terms correctly describe the object below?
Check all that apply.
O A. Solid
B. Pyramid
c. Prism
OD. Polyhedron
E. Polygon
OO
O F. Triangle
Answer:
A. Solid
B. Pyramid
c. Prism
Step-by-step explanation:
Hope it helps you in your learning process.
The terms that correctly describe the object are prism, pyramid, and solid.
Options A, B, and C are the correct answer.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
A prism is a solid geometric shape that has two identical parallel bases, which are typically polygons, and the sides of the shape are parallelograms.
A pyramid is a solid geometric shape that has a polygonal base and triangular faces that meet at a common point called the apex.
A solid is a three-dimensional object that occupies space and has a definite shape and volume.
A polyhedron is a three-dimensional solid that has flat faces, straight edges, and vertices (corners) where the edges meet.
A polygon is a two-dimensional shape that has straight sides and angles and is typically closed (meaning that its sides connect to form a closed shape).
A triangle is a three-sided polygon, meaning it has three straight sides and three angles.
Thus,
The terms that correctly describe the object are prism, pyramid, and solid.
Learn more about prism here:
https://brainly.com/question/12649592
#SPJ7
What is the sum of the exterior angles, one at each vertex, of any polygon?
Answer:
Polygon Exterior Angle Sum Theorem. If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .
What is m∠2?
A 136
B 112
C 92
D 44
Answer:
D. 44
Step-by-step explanation:
180 - 68 = 112
m∠1 = 112
112 + 24 = 136
180 - 136 = 44
Explain why 186, 426 is divisible by both 3 and 9
Answer:
If the sum of the digits is divisible 3 and 9
Step-by-step explanation:
can someone motivate me to do my math homework?!
Divide 6 divided by 3/5
Answer only if u know please:)
Answer:
The answer is 10 or 10/1
A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot
Answer:
20.62 feet
Step-by-step explanation:
The ladder propped against a building forms a right angle triangle
Height of the ladder (hypotenuse) = 21 feet
Base of the ladder from the building (adjacent) = 4 feet
Height of the building (opposite) = x feet
Hypotenuse ² = opposite ² + adjacent ²
21² = x² + 4²
21² - 4² = x²
441 - 16 = x²
425 = x²
x = √425
= 20.62 feet
Answer: 20.62 ft or rounding it to 20.6 ft
Step-by-step explanation:
Please help me with this
Answer:
I would say A
Step-by-step explanation:
It is Friday and you and your friends are going to hit up
the local amusement park. The park costs $30 dollars
to enter and then the tickets for the rides each cost
$3.50. Write an equation when y is total price of
amusement park and x is the number of tickets bought.
Interpret the slope and y-intercept when asked to
explain your answer
Helpp plss
Answer:
y= 30 + 3.50
Step-by-step explanation:
lol I think you're Giselle for my school but that's what the answer it im pretty sure.
Is this a function? Yes or No?!
{(1, 14), (2, 28), (3, 42), (4, 52), 5, 52)}
Answer:
Yes
Step-by-step explanation:
This is a function because each x value is given one y value. More simply, no x value was repeated.
A password is 4 characters long, consisting of 2 letters and 2 numbers. The password must begin and end with a
letter. If numbers can be repeated but letters cannot, how many possibilities are there?
a. 65,000
b. 60,840
c. 58,500
d. 52,650
Answer:
a.
65,000
Step-by-step explanation:
There are 65000 possibilities of 4 character-password
What is a password?A password is a security code that is used for verifying identities
The password has 4 characters.
The password must begin and end with a letter.
So the selections are:
First = 26
Last = 25
The other selections are:
Second = 10 digits
Third = 10 digits
So, the number of password is:
Password = 26 * 10 * 10 * 25
Evaluate
Password = 65000
Hence, there are 65000 possibilities of 4 character-password
Read more about arrangements at:
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Need help plsss
Question is below
Answer:
Step-by-step ex
its 0.2
help plzzzzzzzzzzzzzz
Answer:
i am not sure try 56
Step-by-step explanation:
Hope this helps!:)
Heather purchased a prepaid phone card for $30 . Long distance calls cost 14 cents a minute using this card. Heather used her card only once to make a long distance call. If the remaining credit on her card is $28.18 , how many minutes did her call last?
Answer:
13 Minutes
Step-by-step explanation:
30-28.18=1.82
1.82 devided by 0.14= 13 minutes
answer 13 minutes
Which graph represents the function r(x) = |x -21-1
+
+
-6-5-4-3-2-1,
।
+4
1Y
45
1
-1
1123
45
6
3-2
-IN
-2
-
.
O
The graph that represents the function is graph (a)
How to determine the graph?The function is given as:
r(x) = |x -2|-1
The above function is an absolute value function that is shifted to the right by 2 units, and shifted down by 1 units from its parent function f(x) = |x|
Hence, the graph that represents the function is graph (a)
Read more about absolute value graphs at:
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1/3+ 1/8 show your work a with equation
please hurry
Answer: 11/21
Step-by-step explanation:
Answer:
11/24 or 0.453
Step-by-step explanation:
1/3 + 1/8
1/3 × 8/8 = 8/24
1/8 × 3/3 = 3/24
8/24 + 3/24 = 11/24