Answer:
x = 3 ±√(b + 9).
Step-by-step explanation:
We use Completing the Square:
x^2 - 6x = b
(x - 3)^2 - 9 = b
(x - 3)^2 = b + 9 Taking square roots of both sides:
x - 3 = ±√(b + 9)
x = 3 ±√(b + 9).
If you save $200 a month for 40 years at an APR of 12%, how much will you have in 40 years? * $1,176,000 $2,353,000 $3,715,000 $7,430,000
Answer:
$2,061,941.74
Step-by-step explanation:
The computation of the amount in 40 years is shown below:
Given that
PMT = $200 × 12 = $2,400
NPER = 40
RATE = 12%
PV = $0
The formula is shown below:
= -FV(RATE;NPER;PMT;PV;TYPE)
After applying the above formula, the future value is $2,061,941.74
hey....lol i need help on this
Answer:
W = 32
Step-by-step explanation:
lol.
Please help me solve this.
Answer:
0.565
Step-by-step explanation:
hope it helps
have a great day!!
Percents! Please answer!!
Answer:
39%
Step-by-step explanation:
83-last price
83 last price
100 x ?
100 * last price = 83 . x
x= 39
Sasha is feeling a rectangular box with ribbon and wants to know the amount of space in the box which statement is true about the amount of space inside the box
The available options are:
The space inside the box is the surface area, which is 192 in.2.
The space inside the box is the surface area, which is 144 in.2.
The space inside the box is the volume, which is 192 in.3.
The space inside the box is the volume, which is 144 in.3.
Answer:
The space inside the box is the volume, which is 144 in.3.
Step-by-step explanation:
Give that the rectangular box Sasha is filling has three dimensions of 12inches, 3 inches, and 4 inches for its sizes. Therefore to know the amount of space in the box the correct answer is 12 * 4 * 3 = 144 cubic inches.
Hence, the right answer to this question is "The space inside the box is the volume, which is 144 in.3."
Answer: The answer is D
The space inside the box is the volume, which is 144 in.in.3
Step-by-step explanation:
PLEASE HELP !! 100 POINTS !! (and brainliest)
Find the area for the following figure. Explain or show how you got your answer.
Answer:
area =no of full square + half square =24+1/2×5=26.5 unit ²
A. Use this diagram of a right triangle to derive and prove the Pythagorean Identity, based on sin θ and cos θ. Start with what you know about the relationship among a (adjacent side), o (opposite side), and h (hypotenuse). Using the diagram and the labeled components, define sine and cosine. Incorporate these definitions in your equation. In your response, include all steps and calculations.
B. With respect to , the adjacent side of the triangle has a length of 6 cm and the opposite side has a length of 3 cm. Find the value of the hypotenuse . Then, use these values to confirm the Pythagorean Identity for this triangle.
A rectangular room is 12-1/2 feet long and 10-1/3 feet wide. What is the area of the room?
Answer:
the length of room is 24 feet
Step-by-step explanation:
Let the breadth be x .
Then, Length, l = x + 9
According to the question,
Area of rectangle = length × breadth
Putting the values of length and breadth, we get:
360 = ( x + 9 ) x
360 = x² + 9x
x² + 9x - 360 = 0
x² + 24x - 15x - 360 = 0
x( x + 24) - 15(x + 24) = 0
( x + 24 ) = 0 or ( x - 15 ) = 0
x = - 24 or x = 15 [ Negative number is ignored ]
Now,
Length, l = x + 9 = 15 + 9 = 24 feet
Thus, the length of room is 24 feet .
Line segment AB has endpoints A(5,−8) and B (1,−12). Which of the following is the approximate lenght of line segment AB?
Answer:
square root of (1-5)²+(-12+8)²
square root of (16+16)
square root of 32
Hi please help thank you so much
Answer:
23.09 ft
Step-by-step explanation:
tan = [tex]\frac{opposite}{hypotenuse}[/tex]
⇒ tan 13 = [tex]\frac{x}{100}[/tex]
tan of 13 is 0.23086
⇒ 0.23086 = [tex]\frac{x}{100}[/tex]
multiply each side by 100
⇒ 0.23086 x 100 = [tex]\frac{x}{100}[/tex] x 100
solve:
⇒ 23.0868
round to the nearest hundreth:
⇒ 23.09
2.8t+5.7t= answer plsss
Answer:7.15t
Step-by-step explanation:
You have to add 2.8t plus 5.7t together
John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week
Given :
John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week.
To Find :
How many weeks will it be before Aiden knows as many songs as john?
Solution :
Let, after x weeks Aiden know a songs and John know j songs.
The linear equation for both the situation is :
a = x + 12 .....( For Aiden )
j = 2x + 4 ......( For John )
We need to find in which week Aiden knows as many songs as John.
For this , a = j
x + 12 = 2x + 4
x = 8
Therefore, in 8th week both of them know the same number of songs.
Select all the ordered pair that are solutions to the system
I need step by step too please!!!
Answer:
x=-34
Step-by-step explanation:
PLS HELP ASAPPPP ILL GIVE BRAINLIEST OR WHATEVER NO LINKS!!!!!!!!!!!!!!!!!!
1) Power of a Product
2) Power Rule (or Power of a Power)
Answer:
-Number 1 is Power of a Power Property, I think
-Number 2 is Power of a Power Property
NEED HELP PLEASE !!!!!!
HELP PLEASE!! i need help on A and B. PLEASE DONT ANSWER IF YOU DONT KNOW!!
Answer: B
Step-by-step explanation:
you use the coordinates to find the sides
3 part a) What is the y-intercept of this graph? Explain in words what the y-
intercept means in this situation.*
Find the area of the figure.
5.5 cm
6.5 cm
22 cm
The area of the figure is
Answer:
264
Step-by-step explanation:
6.5x22+22x5.5=264
PLEASEEE I need the answer asap
Answer:
Angle B = 47.3°
Step-by-step explanation:
We are to find Angle B
b = 6.8cm
C = 70°
c = 8.7cm
We solve using Sine rule
b/sin B = c/ sin C
6.8/sin B = 8.7/sin 70
Cross Multiply
sin B × 8.7 = 6.8 × sin 70
sin B = 6.8 × sin 70/8.7
B = arc sin ( 6.8 × sin 70/8.7)
B = 47.26265°
Approximately to 3 significant figures
= B = 47.3°
The line x − y = 2 is on a coordinate plane and contains EF, which is one
side of square EFGH. What is the slope of the line that contains FG?
Answer:
The slope of the line that contains FG is -1
Step-by-step explanation:
Given
[tex]x -y= 2[/tex] --- equation of EF
Required
Determine the equation of FG
First, we calculate the slope of EF
[tex]x -y= 2[/tex]
Make y the subject
[tex]y = x - 2[/tex]
A linear equation has the form:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m = 1[/tex]
In square EFGH, EF and FG are perpendicular.
So, the relationship between their slopes is:
[tex]m_2 = -\frac{1}{m_1}[/tex]
Where
[tex]m_1 = m = 1[/tex] --- slope of EF
The equation becomes:
[tex]m_2 = -\frac{1}{1}[/tex]
[tex]m_2 =-1[/tex]
Jasmine always carries cash. Her friends think she should get a credit card. Which reasons show the benefits of having a credit card?
******Select all that apply.******
helps save money
safer
more convenient
free to use
rewards programs
Answer:
A and b
Step-by-step explanation:
it could also be c but it's definitely a and b
Answer:
Might be:
Safer
Rewards programs
More convenient
Online shopping
Step-by-step explanation:
Gustave measured his pace and determined that for him, s steps make up one mile. One day Gustave walked 6300 steps, which was 3 miles.
Answer:
2100
Step-by-step explanation:
6300/3
The area of a square field of side 13 m is
Answer:
169 sq m
Step-by-step explanation:
= 13 × 13 = 169 sq m.
David is a salesman at a Electronics and Appliances shop and receives a
10
%
10% commission on the sale of each refrigerator.
What is the price of the refrigerator, if the commission he earned on selling it was
$
500
$500? PLZZZ HELP
Answer:
550
Step-by-step explanation:
550
Netti works as a waitress in a restaurant. They have numbers for each kind of order. On a busy day, tired Neeti lines up all the orders at the end of her shift. She notices this number and is amused by the lack of variety of the food she served that day. It reads 56786675568568657. Each 5 means one pancake was ordered, each 6 means one egg was ordered, each 7 means a waffle was ordered. Each 8 meant that an egg order was canceled and a pancake was requested. How many sweet breakfast food dishes did she serve on this day?
Answer: (I don't know if this is right or not)
7 pancakes
3 eggs
3 waffles
Step-by-step explanation:
4 pancakes
5 eggs
8=3
+3 pancakes
-3 eggs
Find the missing side of this right triangle
Answer:
4, tell me if wrong
Step-by-step explanation:
c² = b² + a²
now, 5x5 = 25
3 x 3 = 9
25 - 9 = [tex]\sqrt{16\\}[/tex]
4
Please help will give brainliest
Answer:
24 because 6 times 4 equal 24 and thats the area
Step-by-step explanation:
an architect find some unlabeled dimensions on a blueprint and no skill has shown a 15 foot wall that has already been built measures 1.5 in on the drawing in your wall that has to be built measures 3 in on the drawing how long will the new wall be
Show your work!
If the length of a rectangle in terms of x is x² + 2x – 3, and its width is 2x2 + 3x + 5,
what is the perimeter of this rectangle? Don't leave any spaces
in
your
solutions.
Perimeter: units
Answer:
answer is 20+12x^6
Step-by-step explanation:
Multiply x^2+2x-3 by 2
length equals 2x^4+4x-6
simplify. 6x^5-6
multiply 2x2+3x+5 by 2
width equals 4x4+6x+10
simplify. 16+6x+10
simplify again. 26+6x
add length and width- 20+12x^6
