Answer:
136
Step-by-step explanation:
to find the triangle's surface area, you do the height (4) multiplied by the base (6). Then for the rectangles, you multiply the width (5 or 6) by the length (7). Then you add up all the numbers to get your answer.
Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical values of the coefficients. (a) x − 20 x2 + x − 20 Incorrect: Your answer is incorrect. (b) x2 x2 + x + 20 Incorrect: Your answer is incorrect.
Answer:
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x - 20}{ x^2 + x - 20}[/tex]
Required
Decompose into partial fraction
Start by factorizing the denominator:
[tex]x^2 + x - 20 =x^2 + 5x -4x- 20[/tex]
[tex]x^2 + x - 20 =x(x + 5)-4(x+5)[/tex]
[tex]x^2 + x - 20 =(x-4)(x+5)[/tex]
So, we have:
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]
Take LCM
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A(x+5)+B(x-4)}{(x-4)(x+5)}[/tex]
Cancel out the denominator
[tex]x - 20 = A(x+5)+B(x-4)}[/tex]
Open brackets
[tex]x - 20 = Ax+5A+Bx-4B[/tex]
Collect Like Terms
[tex]x - 20 = Ax+Bx+5A-4B[/tex]
[tex]x - 20 = (A+B)x+5A-4B[/tex]
By comparison;
[tex](A +B)x = x[/tex] ==>[tex]A + B = 1[/tex]
[tex]5A - 4B = 1[/tex]
Make A the subject in [tex]A + B = 1[/tex]
[tex]A = 1 - B[/tex]
Substitute 1 - B for A in [tex]5A - 4B = 1[/tex]
[tex]5(1-B) -4B = 1[/tex]
[tex]5-5B -4B = 1[/tex]
[tex]5-9B = 1[/tex]
Collect Like Terms
[tex]-9B = 1 - 5[/tex]
[tex]-9B = - 4[/tex]
[tex]B = \frac{4}{9}[/tex]
[tex]A = 1 - B[/tex]
[tex]A = 1 - \frac{4}{9}[/tex]
[tex]A = \frac{9-4}{9}[/tex]
[tex]A = \frac{5}{9}[/tex]
So:
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]
Ruben's football team lost 2 yards, which means went backwards, on their last play. Which integer best represents this?
Answer:
-2
Step-by-step explanation:
Integers can be positive or negative.
A car travels 136 miles using 7 gallons of gas. At that rate, how far can the car travel using 42 gallons of gas?
Answer:
in 136 miles=7 gallons
?=42 gallon
= 136=7
?=42
cross multiply
136×42=5,712
=5,712÷7=816
Answer:
816 miles
Step-by-step explanation:
136miles/7 g =19.43
19.43 x 42 ≅ 816.06
or
136/7 = X/42
solve for X
42/7 =6, then 136 x6= 816
x = 816 miles
what is 2247 divided by 7
and 8
Step-by-step explanation:
and and and and and and and and and 8
Urgently need help please . Thanks
Answer:
224 feet^3
Step-by-step explanation:
Cube -> Volume = 4×7×7 = 196 feet^3
Prism -> Volume = 2×7×2 = 28 feet^3
196+28=224
I would like anyone to help me with this, please!
Answer:
the sencond and the last one
Answer:
125 • 125
Step-by-step explanation:
5⁶ = 5 × 5 × 5 × 5 × 5 × 5 = 15,625
125 • 125 = 15,625
They give the same result so both expressions are equivalent to each other.
alternate exterior angles theorem
vertical angles theorem
corresponding angles postulate
same side interior angles theorem
alternate interior angles theorem
are all the second awsner which one is it
i need this awnser
117°
same side interior angles theorem
I NEED HELP ASAP how do you solve -2x(3y +9) in the distributive property pls thank you
Answer:
-6xy-18x
Step-by-step explanation:
To solve -2x(3y+9), multiply -2x by 3y and 9.
-2x(3y)+-2x(9)Solve
-6xy-18xAnswer:
-24 i think
Step-by-step explanation:
Can somebody help me with this one?
Skylas research Shows at eight empty cans make 1/ 4th pound of aluminum
she
wants to know how many cans it takes to make 5 pounds of aluminum how many kids are there per pound of aluminum
Answer:
160 cans for 5 pounds of aluminum
Step-by-step explanation:
Journal: Explain how you can check your answers on algebraic equations to know that you are right! Example: 2x = 12*
um if someone could help that would be great this one is not a big deal;-;
ss of
3. In a class of 50 students, 40 % are girls. Find the number of girls and
number of boys in the class?
Solution:
Answer:
20 boys in the class
Step-by-step explanation:
40% of 50 is 20
16/20 – 1/4 =
I need help please thank you
Answer:
11 / 20
Step-by-step explanation:
16 / 20 - 1×5 / 4×5
16 / 20 - 5 / 20
16 - 5 / 20
= 11 / 20
Michael is running a marathon. Michael can run 1/2 of a mile in 1/10 of an
hour. How many miles can he run in one hour?
Answer:
5 Miles
Step-by-step explanation:
First, start with multiplying 1/2 by 10 (because we are using 1/10), and you get 10/2, which equals 5.
Answer: How many miles can he run in one hour?
six miles
But for a normal person it's one mile per 10 minutes or about six miles per hour.
Pls help me I’ll brainlest I need a good grade on this
Answer:12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Determine the unknown angle measures in a hexagon whose six angles measure 69°, 108°, 135°, 204°, b°, and 2b°.
Answer:
B = 68
Step-by-step explanation:
(6-2)×180 = 720
69+108+135+204+b+2b=720
516+3b=720
3b=720-516
3b=204
b= 68
Write the measure 29° 6'6" as a decimal to the nearest thousandth.
a. 29.1020
C. 29.485
b. 27.5949
d. 27.682°
Please select the best answer from the choices provided
Answer:
A. 29.1020
Step-by-step explanation:
Rewrite it:
29°6'6"
29° + 6(1/60)° + 6(1/3600)°
Simplify:
29° + 0.1° + 0.002°
= 29.102
So, the correct answer is A, 29.1020
A- g(x)=|x+5|+5
B-g(x)=|x-5|+5
C-g(x)=|x|+5
D-g(x)=|x-5|
Answer:
if anything, I would say C. I can't see the image too clearly, but I can see what you typed out
Step-by-step explanation:
How do you solve for a variable?
A. Use the alphabet
B. Displacement
C. Get it by itself
Answer:
C. Get it by itself
Step-by-step explanation:
When solving for a variable, whether it be an inequality, a factor, or an algebraic expression. Getting the specified variable by itself is the most effective and best way to get that answer to your question. The other two answers here do not make any sense whatsoever.
Simplify (3^z)^6 in exponent notation
Answer:
3^6z
Step-by-step explanation:
you multiply 6 and z since they are exponets and one is in a (
Answer:
3 to the power of 6z of 3^6z
Step-by-step explanation:
f(x)=−x 2 −4x−19 find f(-9)
Answer= Let f" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">ff be the function defined by
f(x)=x2−4x" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">f(x)=x2−4xf(x)=x2−4x
for x≥2" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">x≥2x≥2. Find the inverse function indicating its domain and the range.
When I try to make x" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">xx the subject I get +" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">++and −" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">−− two answers for the inverse function. Is it the proper answer? The answer I got is
x=2±y+4." role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">x=2±y+4−−−−√.x=2±y+4.
Is it correct and how do I determine the domain and range of the function? Thanks
Hello - I'm trying to find the answer for $6,000 x 10% x (1/12) to find the monthly interest rate
Answer:600
Step-by-step explanation:
Make the number 6 x 1000
Take 10% of the 1000
Now put the 6 and the 100 together
how many odd _2-digit positive integers can be written using the numbers 2,4,5, and 8?
Answer:
4 different odd integers: 25, 45, 55, 85
Step-by-step explanation:
what's the correct choice please help
Year. 2006. 2007. 2011 . 2012. 2013
CPI. 201.6. 207.342. 224.939. 229.594 232.957
Suppose you bought a house in 2013 for $90,000. Use the table above to calculate the 2006 value adjusted for inflation. which is the correct answer below
$90,314
$91,398
$103,999
$77,886
Answer:
$77,886
Step-by-step explanation:
We solve this question by proportions, using a rule of three.
The table states that:
$201.6 in 2006 is worth $232.957 in 2013.
We want to find:
The value of $90,000 in 2013 in 2006:
$201.6 - $232.957
x - $90000
Applying cross multiplication
[tex]232957x = 201.6*90000[/tex]
[tex]x = \frac{201.6*90000}{232957}[/tex]
[tex]x = 77886[/tex]
$77,886 is the answer
Pls help extra points and mark brainlist
Answer:
80 + 30h
Step-by-step explanation:
(10 * 8) + (10 * 3h)
=80 + 30h
[tex]\Large\boxed{\tt Anwer:~80+30h}[/tex]
[tex]\tt Step-by-step~explanation:[/tex]
We need to distribute the 10 to 8 and 3h. In order to do this, we can multiply 10 by 8 and 10 by 3h.
[tex]\tt 10*8=80\\10*3h=30h[/tex]
Then, we add them together to get the answer.
[tex]\tt 80+30h[/tex]
Can the triangles be proven similar by AA?
Question options:
A)
No, similar triangles cannot contain a pair of parallel lines.
B)
Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).
C)
Yes, because || .
D)
No, the triangles contain no angles marked congruent.
Answer:
No, similar triangles cannot contain a pair of parallel lines. Yes, because || . Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).
Step-by-step explanation:
Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).
What is similarity?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Both triangles are similar as,
∠QUR ≅ ∠TUS (vertical angles)
∠R ≅ ∠S (alternate interior angles).
So, By AA similarity criteria triangles are similar.
Learn more about similarity here:
https://brainly.com/question/17170212
#SPJ5
Jane needs to miss fewer than 1__6of the words on her spelling list. If there are 18 words, how many can she miss? Explain.
Answer:
Assuming that you mean 1/6, the answer would be 3 .
Step-by-step explanation:
1/6 x 18 is equal to three.
exact volume of this cylinder
I am taking this quiz but I'm pretty sure its....c
Answer:
Volume=πr2h=π·42·8≈402.12386
Step-by-step explanation:
If the tax rate in a certain city is 8.75%, how much tax is added to the purchase of carpeting that costs $1,500?
Answer:$1312.5
Step-by-step explanation:
1500x1.875=2812.5
2812.5-1500=1312.5
Which of the I-values are solutions to both of the following inequalities?
81> I and I > 68
Answer:
Option (C)
Step-by-step explanation:
Given inequalities are,
81 > x and x > 68
Therefore, 81 > x > 68 is the inequality representing the solution area for x.
Out of x = 88, 85 and 80,
x = 80 will lie between the range of x = 68 and x = 81.
Therefore, Option (C) will be the correct option.