Answers
Answer:
[tex] {(x + 5)}^{2} - {x}^{2} \\ {x }^{2} + 10x + 25 - {x}^{2} \\ 10x + 25 \\ 5(2x + 5)[/tex]
Related Questions
if each interior angle of a polygon is 144 . find the polygon
Answers
Answer:
Decagon
Step-by-step explanation:
Since the interior angle is 144 degree, each exterior angle is 180 - 144 = 36 degrees.
For any convex polygon (in particularly, for any regular polygon) the sum of exterior angles is 360 degrees.
Hence, the number of sides = the number of vertices = 360/36 = 10.
Answer. Your polygon is decagon with 10 sides (vertices).
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58 is the difference of Janelle's height and 24.
Use the variable j to represent Janelle's height.
Answers
Answer:
Janelle's height is 82 units.
Step-by-step explanation:
Let j represent Janelle's height.
It is mentioned that, 58 is the difference between Janelle's height and 24.
Mathematically, we can write it as :
j-24 = 58
We can solve it as follows :
Adding 24 both sides,
j-24+24 = 58+24
j = 82
Hence, Janelle's height is 82 units.
Logic, Reasoning and Puzzles Assignment
Solving a Payment Puzzle
A wealthy and generous owner of an Internet company offers two
options of payment to her new vice president.
Option 1: a monthly salary
of $50000 per month paid
at the beginning of each
month
Name: Yaseen
Option 2: a monthly salary
based on 1¢ the first day,
2¢ the second day, 4c the
third day, 8¢ the fourth day,
and so on. The monthly salary
will be the amount calculated
for the last day of the month.
Assume there are 30 days in the month.
A. How can you calculate the vice president's earnings under
Option 2?
B. Compare the monthly earnings for the two options.
1.9
C. Which payment option would you take if you were the vice
president? Why?
Answers
Answer:
very long question
Step-by-step explanation:
Which is closest to the height of a pine tree?
Answers
If m and n are positive integers, show that: 3 (m + n)! ≥ m! + n!
Answers
We can conclude the proof of inequality : 3 (m + n)! ≥ m! + n! below.
What is factorial?In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. Mathematically, we can write -
[tex]$n! = n \times (n-1) \times \dots \times 1[/tex]
Given is the inequality -
3 (m + n)! ≥ m! + n!
We have -
3 (m + n)!
3 {(m + n)(m + n - 1)(m + n - 2) ....... (3)(2)(1)}
3 {m² + mn - m + nm + n² - n}(m + n + 2) ...... (3)(2)(1)
3 {m² + n² - m - n + 2mn}(m + n + 2) ........ (3)(2)(1)
3 {m(m - 1) + n(n - 1) + 2mn}(m + n + 2) ....... (3)(2)(1)
Now, for (m! + n!) --
(m! + n!) = m(m - 1) .... (3)(2)(1) + n(n - 1) ..... (3)(2)(1)
It can be seen that -
3 {m(m - 1) + n(n - 1) + 2mn}(m + n + 2) ....... (3)(2)(1) ≥
m(m - 1) .... (3)(2)(1) + n(n - 1) ..... (3)(2)(1)
Hence, it can be seen that -
3 (m + n)! ≥ m! + n!
Therefore, we can conclude that 3 (m + n)! ≥ m! + n!.
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(3,-3) m= -2/3
Formula
Y-Y1= m(x-x1)
Answers
slope form -
y - y1 = m(x - x1)
y - (-3) = -2/3(x - 3)
y + 3 = -2/3x + 2
y = -2/3x - 1
Ms. Wong ordered a box of 50 shirts to sell in her clothing store. She quickly sold 30 of the shirts. Which equations can be used to find how many shirts, s , Ms. Wong has left to sell?
Answers
Answer:
answer = 20
Step-by-step explanation:
Answer:
s = 20
Step-by-step explanation:
50 - 30 = s
s + 30 = 50
so 50 - 30 = 20
The list of numbers shows the ages of six people on a bowling league. 50, 55, 57, 49, 44, 51. Find the mean absolute deviation of the values.
Answers
Answer:
3.333333333
Step-by-step explanation:
The weights of a breed of dog are normally distributed with mean 22 lbs and standard deviation 1.6 lbs. Out of randomly selected sample to 200 dogs. How many might you expect to weigh more than 23 lbs? Round your answer to the nearest whole dog.
Answers
Answer: C or
41*67/2=1373.5
Step-by-step explanation:
Hi
Find the volume of a sphere with a diameter of 4 inches. Use 3.14 for π. Round your answer to the nearest tenth.
Answers
Answer:
V≈33.51in³
Step-by-step explanation:
have a great day!
15. Malik used the method of elimination to solve the system below.
4x+3y=12
2x+y=5
(a) Malik first rewrote the second equation as:
-6x-3y=-15
What property justifies writing this equation?
(b) Malik correctly solves this system usi
elimination. Was the value he found for
larger or smaller than 1? Justify.
Answers
On solving the provided question, we can say that - the perimeter chest won't fit next to her bed, thus the answer is no.
What is a perimeter?The perimeter of a form is determined by the length of its contour. A rectangle or square's perimeter is determined by adding the widths of its four sides. In this instance, the rectangle's length and breadth are represented by x and y, respectively. The surface of a form is used to compute its area.
Given here is: In her room, it is 86 inches wide. The width of the bed is 76 inches.
She also wants to accommodate a chest of drawers that is 72 centimeters broad, which equals inches.
=> 90 cm = 24.6546536565 inches
and the space left in her room = 86-76=10 inches
thus, the chest will not fit next to her bed
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A box has three cards numbered 1, 2, and 3 A bag has three balls labeled a, b, and c Martina will randomly pick a card from the box and record the number chosen. Then she will randomly pick a ball from the bag and record the letter chosen. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event that the number chosen is 3. Use the format 1A to mean that the number chosen is 1 and the letter chosen is A. If there is more than one element in the set, separate them with commas.
Answers
If cos(2/3x+20)°=sin(2x−10)°, find the acute angles of the corresponding right triangle.
A =
B =
Answers
Answer:
A = 40°
B = 50°
Step-by-step explanation:
If cos A = sin B, then A + B = 90
So, 2x/3 + 20 + 2x - 10 = 90
2x + 60 + 6x - 30 = 270
8x + 30 = 270
8x = 240
x = 30
2x/3 + 20 = 60/3 + 20 = 20 + 20 = 40
2x - 10 = 2(30) - 10 = 60 - 10 = 50 or 90 - 40 = 50
What is the value of f[g(3)] for the functions f(x) =x+2 and g(x) = 5x - 1
Answers
Answer:
Step-by-step explanation:
In this case we know the composition of f and g is
[tex]f(g(x))=f(5x-1)=5x-1+2=5x+1[/tex]
Thus if we change x by 3 we get
[tex]f(g(3))=5(3)+1=16[/tex]
Karen and Kate have 50 CDs between them. Karen has 6 less than kate. How many each has?
Answers
Answer:
19
Step-by-step explanation:
Karen and Kate have 50 CDs between them. Karen has 6 less than kate. How many each has?
25&25
If Karen Has 6 Less Then Kate, Karen Would Have 19 CDS
Hope This Helps
factorise each of the following
a2+9a+8
Answers
Answer:
Step-by-step explanation:
I suppose the expression is this [tex]a^2+9a+8.[/tex]
We can factor out this expression ( Remember, find two numbers that the sum is 9 and the product is 8. The numbers are 8 and 1)
[tex]a^2+9a+8=(a+1)(a+8)[/tex]
Mark and Connie are insure for 80% of the replacement value of their home, which is valued at $245,000. How much is the policy amount on their house?
Answers
Answer:
$196000Step-by-step explanation:
Value of the home = $245000Insurance = 80%Policy amount:
$245000*80/100 = $196000Answer:
$196,000
Step-by-step explanation:
Given information:
Value of home = $245,000Insurance replacement percentage = 80%To find the policy amount on their house, find 80% of the value of the home:
[tex]\begin{aligned}\sf Policy\:amount & = \sf 80\%\:of\:245000\\\\& = \sf \dfrac{80}{100} \times 245000\\\\& = \sf \dfrac{80 \times 245000}{100}\\\\& = \sf \dfrac{19600000}{100}\\\\& = \sf 196000\end{aligned}[/tex]
Therefore, the policy amount on Mark and Connie's house is $196,000.
What if I only know the length of the shorter side consider the triangle equilateral triangle than determine the values of n and m without using a calculator
Answers
Answer: An equilateral triangle is a three-sided polygon with three equal sides and three equal angles of 60 degrees each. If you know the length of one of the sides of an equilateral triangle, you can use the formula for the area of an equilateral triangle to determine the values of n and m. The formula for the area of an equilateral triangle is:
Area = (sqrt(3)/4) * s^2
where s is the length of one of the sides of the triangle.
To determine the values of n and m, you can rearrange the formula to solve for s. For example, if you know that the area of the triangle is n and the value of m is the length of one of the sides of the triangle, you can rearrange the formula to solve for s:
s = sqrt(4n/sqrt(3))
Then, you can use the value of s to determine the value of m.
Step-by-step explanation:
Need help on this question
Answers
Answer:
b
Step-by-step explanation:
Answer:
option b
i.e-
(-1,3) and (2,6)
Step-by-step explanation:
The solution of two graphs are the point where they intersect each other.
Above, they intersect each other at two points
Which sets of three numbers could represent the lengths of the sides of a right triangle?
Choose the two correct answers.
Responses
12, 15, 21
40, 42, 58
9, 40, 41
31, 40, 41
Answers
Answer: why do we even need math
Step-by-step explanation:
Please help
write in terms of i
simplify your answer as much as possible
Answers
Answer:
2i[tex]\sqrt{14}[/tex]
Step-by-step explanation:
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Answers
Answer:
25% × ? = 9
? =
9 ÷ 25% =
9 ÷ (25 ÷ 100) =
(100 × 9) ÷ 25 =
900 ÷ 25 =
36
Answer:
The answer is 36
When finding a percentage you would typically multiply the decimal. Example 20% of 100. Multiply 100 x 0.20 = 20
When trying to do the opposite you would do the inverse (opposite) operation. So the inverse (opposite) operation of mulitplication is division.
Example: 20% of what number w is 20? Divide 20/0.20 = 100
Okay now lets solve your problem!
25% of what number w is 9? Divide 9/0.25 = 36
Step-by-step explanation:
25% in decimal is 0.25
9 / 0.24 = 36
HELP !!!!
Circle A has center of (4, 5), and a radius of 3 and circle B has a center of (1, 7), and a radius of 9. What steps will help show that circle A is similar to circle B? (6 points)
Group of answer choices
Translate circle A using the rule (x + 3, y − 2).
Dilate circle A by a scale factor of 3.
Rotate circle A 90° about the center.
Reflect circle A over the x-axis.
Answers
Answer:
Dilation if not then translation
Step-by-step explanation:
4 is greater than x, and x is greater than -7. Write the following as an inequality.
Answers
Answer:
4 > x > -7
Step-by-step explanation:
4 > x > -7
Because we usually put lower numbers to the left on a number line
the convention is to present this as
-7 < x < 4
Answer:
4 < x > - 7
Step-by-step explanation:
4 < x
x < - 7
4 < x > - 7
plzzz a n s w e r thiss
Answers
Answer:
oki! Mizuki is here to help!
The answer is 61 cars!
Step-by-step explanation:
First, let's find how much money she needs to earn!
105 + 500 = 605
Then, we will divide the amount she needs to earn by the amount per each car!
605 ÷ 10 = 60.5
We get 60.5 As an answer but... since we must wash a whole car, we will round it up and get 61 cars as the answer!
An exponential function has a starting value of 13 and a growth rate of 0.78%. Write an equation to model the situation.
Answers
Answer:
The equation that models the situation is [tex]A(t) = 13(1.0078)^t[/tex]
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the starting value and r is the growth rate, as a decimal.
Starting value of 13 and a growth rate of 0.78%.
This means that [tex]A(0) = 13, r = 0.0078[/tex]
Write an equation to model the situation.
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 13(1+0.0078)^t[/tex]
[tex]A(t) = 13(1.0078)^t[/tex]
The equation that models the situation is [tex]A(t) = 13(1.0078)^t[/tex]
how long will it take me to finish 25 episodes anime with over 24 minutes each episode?
Answers
Answer:
9.583 hours
Step-by-step explanation:
multiply both of them and divide by 60 youll get. how long it will take for u to complete an anime
2.
A cashier at the grocery store helped 2 customers in 10
minutes. At this rate, how many customers can he help in 30 minutes? Write a proportions & solve.
a) 160 customers
b) 0.6 customers
C) 6 customers
d) 5 customers
Answers
hope this helps you....have a nice day..
Help me out with this question for my test, thank you and please give a full explanation.
Answers
Answer:
210 degreses
Step-by-step explanation:
because I said so.
Last Saturday an accident caused a traffic jam 13 miles long on a stretch of the
interstate.
a. How many vehicles do you think were in the traffic jam if the average car's
length measures approximately 15 feet? Explain your thinking and show all
calculations.
b. Would there be more or less vehicles if you were told there were a large
number of SUVs and trucks present in this traffic jam? Explain your thinking and
show all calculations.
Answers
There would have been 4576 cars in the traffic. If SUVs and Trucks are involved in jam, there would be fewer vehicles.
What is logical reasoning?Logical or deductive reasoning involves using a given set of facts or data to deduce other facts by reasoning logically.
Given that, Last Saturday, an accident caused a traffic jam 13 miles long on a stretch of the interstate.
13 miles = 68,640 feet
One car is of 15 ft
Let there be x cars,
15x = 68,640
x = 4576
Therefore, there are 4576 cars in traffic.
If there are more SUVs and trucks, their length will be more than a car and which will make less number of vehicles involved in the traffic.
Hence, There would have been 4576 cars in the traffic. If SUVs and Trucks are involved in jam, there would be fewer vehicles.
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