C. How much of the first payment on the mortgage is applied to the principle
sub : 4x - 3y + 9z from 16x - 12y - 3z.
Answer:
12x−9y−12z
Step-by-step explanation:
1. 16x−12y−3z−4x−(−3y)−9z
2. Combine 16x and −4x to get: (12x−12y−3z+3y−9z)
3. Combine −12y and 3y to get: (12x−9y−3z−9z)
4. Combine −3z and −9z to get: (12x−9y−12z)
Answer: 12x−9y−12z Step-by-step
explanation: 1. 16x−12y−3z−4x−(−3y)−9z 2. Combine 16x and −4x to get: (12x−12y−3z+3y−9z)3. Combine −12y and 3y to get: (12x−9y−3z−9z) 4. Combine −3z and −9z to get: (12x−9y−12z)
Water is pumped from a tank at constant rate, and no more water enters the tank. If the tank contains 22,917 L at 2:45 PM and 8,077 L at 5:25 PM the same day, how much water will the tank contain at 6:10 PM that day?
The amount of water that the tank will contain at 6:10 PM that day is 4174 L.
What is a Conversion Rate?
The conversion rate of a physical quantity is the method by which a unit of measurement is changed from one process to another by following a standard conversion rate and dimensional analysis.
From the information given:
The difference in the time from 5:25 PM to 2:45 PM is 2 hours:40 minutesIf we convert 2 hours:40 mins to minutes, we have = 160 minutesThe difference in the water in the tank within these two periods is:
= 22917 L - 8077 L
= 14840 L
In one minute, the amount of Liter is:
= 14840/160
= 92.75 Liter/minute
Similarly, between 6:10 pm and 5:25 pm, there are 45 minutes difference.
Therefore, the amount of water that the tank will contain at 6:10 PM that
day is;
= 45 minutes × 92.75 Liter/minute
= 4174 Liters
Learn more about conversion rate here:
https://brainly.com/question/1810058
Factor z3 + 2z2 - 9z - 18. (z - 3)(z + 3)(z + 2) (z 2 + 9)(z - 2) (z 2 + 2)(z - 9)
Answer:
Read the explanation
Step-by-step explanation:
look at the photo
Arcs and angles relay puzzle
Applying the angles of intersecting chords theorem, the value of x in the first figure is: x = 7.
What is the Angles of Intersecting Chords Theorem?If two chords of a circle intersect, the angles of intersecting chords theorem states that, the measure of the angle formed equals 1/2(sum of the measure of the arcs which are intercepted.
Thus, we can use the angles of intersecting chords theorem to find missing angles or value of x in the questions given.
For example, let's find the value of x in the first figure given:
12x + 5 = 1/2(83 + 95)
12x + 5 = 89
12x = 89 - 5
12x = 84
x = 7
Using same strategy, you can solve the rest of the problem given.
Learn more about the angles of intersecting chords theorem on:
https://brainly.com/question/1626547
f(x)=3x^3 + 4x^2 - 6x -7
g(x)= 2x-4
Find (f-g)(x)
Answer:
f(x)-2x+4
Step-by-step explanation:
f(x)-g(x)
f(x)-g(x)=f(x)-(2x-4)
f(x)-(2x-4) remove parentheses for addition or subtraction
f(x)-2x+4
A rectangular prism has a base area of 17 cm², and a height of 5 centimeters. What is the volume of the prism?
Answer:
85cm^3
Step-by-step explanation:
Volume = Base Area * Height
17*5=85
Solve the following equation for p: 6/p=x+a
[tex]\dfrac 6p = x+a\\\\\implies \dfrac 6p \times\dfrac 16 = (x+a) \times\dfrac 16 ~~~~~~;\left[\text{Multiply both sides by}~ \dfrac 16 \right]\\\\\implies \dfrac 1p = \dfrac{x+a}6\\\\\implies p= \dfrac{6}{x+a}~~~~~~~~~~~~~~~~~~~~;[\text{Cross multiply}][/tex]
Airplane X left the airport, flying at a rate of 400 miles per hour. Airplane Y left 2 hours later, flying at a rate of 450 miles per hour. How long will it take airplane Y to catch up to airplane X?
Answer: i think it will take 48 hours
Step-by-step explanation:
here's how to get 48 so basically 450-400-2= 48
now if you end up doing 400 - 450 then you will get -50 if you do 400-450-2 you will get a -52 so you want to make sure you do the biggest number first and then do the smaller numbers to get 48 like 450 - 400 - 2 and then you will have 48
i hope this helps!
Find the value of x.
Answer:
Maybe 8
Step-by-step explanation:
because its the same side
Consider the expression 1.1(1.3)x+4Which of the following is an equivalent expression?
Answer:
the equivalent expression is 1.1(1.3)^4 ×(1.3)^x
Answer:
d
Step-by-step explanation:
i took the test
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The quotient of seven and a number added to ten
PLEASE EXPLAIN’
Which set of numbers correctly
shows a number, its opposite, and
its absolute value, in that order?
A 98.4
-98.4 98.4
B -74.3 -74.3
-74.3 74.3
C 46.2 46.2 -46.2
D 28.9 -28.9 -28.9
Answer:
A
Step-by-step explanation:
because -98.4 is the opposite of 98.4 and 98.4 is it's absolute value
is -2^3b^3 + 15c^3/8 z^3 a monomial, binomial, trinomial, or other polynomial.
Answer: binomial
Step-by-step explanation: it has 2 terms
what is the total mass of 4 bags of sugar each with a mass of 450g ,840g,336g and 1kg?
Answer:
total mass is equal to
450g+840g+366g+1kg
=1626g+1000g
=2626g
mass is in kg so it is 2.626kg
[tex] \rm \int_{0}^ \infty \frac{ \sqrt[ \scriptsize\phi]{x} \tan^{- 1} (x)}{(1 + {x}^{ \phi} {)}^{2} } {}^{} {} \: dx\\ [/tex]
With ϕ ≈ 1.61803 the golden ratio, we have 1/ϕ = ϕ - 1, so that
[tex]I = \displaystyle \int_0^\infty \frac{\sqrt[\phi]{x} \tan^{-1}(x)}{(1+x^\phi)^2} \, dx = \int_0^\infty \frac{x^{\phi-1} \tan^{-1}(x)}{x (1+x^\phi)^2} \, dx[/tex]
Replace [tex]x \to x^{\frac1\phi} = x^{\phi-1}[/tex] :
[tex]I = \displaystyle \frac1\phi \int_0^\infty \frac{\tan^{-1}(x^{\phi-1})}{(1+x)^2} \, dx[/tex]
Split the integral at x = 1. For the integral over [1, ∞), substitute [tex]x \to \frac1x[/tex] :
[tex]\displaystyle \int_1^\infty \frac{\tan^{-1}(x^{\phi-1})}{(1+x)^2} \, dx = \int_0^1 \frac{\tan^{-1}(x^{1-\phi})}{\left(1+\frac1x\right)^2} \frac{dx}{x^2} = \int_0^1 \frac{\pi2 - \tan^{-1}(x^{\phi-1})}{(1+x)^2} \, dx[/tex]
The integrals involving tan⁻¹ disappear, and we're left with
[tex]I = \displaystyle \frac\pi{2\phi} \int_0^1 \frac{dx}{(1+x)^2} = \boxed{\frac\pi{4\phi}}[/tex]
Jennifer is a wedding planner. She set up six chairs at each table for the reception. If t represents the number of tables, which of the following expressions represents the total number of chairs that she set up?
A. 6 + t
B. t + 6
C. 6t
D. t - 6
Answer: C. 6t
Step-by-step explanation:
T is unknown, but because you are only asked for the equation to figure out the total, you simply multiply the 6 chairs per t, or table together, 6t
3 (2a + 6) what is the valur of this exspression when a = 4
please help!!
2a means = 2 x a
if a = 4
3 x (2 x 4 + 6) = 3 x (8 + 6) = 3 x 14 = 42
Solve for x
Can you pls help me?
Answer:
6x+50=92
Step-by-step explanation:
The x is for how much the classes cost plus the amount they charged her for the gear.
I THINK ITS C BUT PLSS TELL ME IF IM RIGHT
Use a number line to find the value of:
eight tenths plus one eighth equals
A. eight tenths
B. one tenth
C. nine tenths
D. seven tenths
Answer:
it is .925 which is very close to 9/10 so C would be correct
Step-by-step explanation:
Answer:
0.925 so I would pick option C.
1. Raphael bought eight pens and nine erasers from a shop and paid GHC 33. His friend, Yao bought five similar pens and six erasers from the same shop and paid GHC 21. Calculate the price of the pen and the erasers respectively.
The price of the pen and the erasers Raphael and his friend bought are GHC 3 and GHC 1 respectively.
How to solve equation simultaneouslylet
x = price of pen
y = price of erasers
The equation
8x + 9y = 33
5x + 6y = 21
multiply (1) by 6 and (2) by 948x + 54y = 198
45x + 54y = 189
subtract to eliminate y48x - 45x = 198 - 189
3x = 9
x = 9/3
x = 3
substitute into (1)
8x + 9y = 33
8(3) + 9y = 33
24 + 9y = 33
9y = 33 - 24
9y = 9
y = 9/9
y = 1
How to solve simultaneous equation:
https://brainly.com/question/16863577
Ahmed drive his car 4 hours continuously as average 80 Km/hr .if his speed was 60 Km in the 1st hour, 90 Km in the 2nd hour and 100 Km in the 3rd hour .Find his speed in the 4th hour ?
Answer:
I would say 120 but that could be also be wrong but ill go with 120
Find the angle between vectors a=(1,2) and b=(1,-1/2).
Answer:
[tex]90^{\circ}[/tex]. In other words, these two vectors are perpendicular (orthogonal) to one another.
Step-by-step explanation:
Let [tex]\|a\|[/tex] and [tex]\|b\|[/tex] denote the magnitudes of vector [tex]a[/tex] and vector [tex]b[/tex]. The dot product between these two vectors is represented as [tex]a^{T}\, b[/tex]. Let [tex]\theta[/tex] denote the angle between the two vectors. The cosine of this angle would be equal to:
[tex]\begin{aligned}\cos(\theta) &= \frac{a^{T}\, b}{\|a\| \|b\|}\end{aligned}[/tex].
The dot product between vector [tex]a = \langle 1,\, 2\rangle[/tex] and [tex]b = \langle 1,\, -1/2\rangle[/tex] is:
[tex]\begin{aligned}a^{T}\, b &= {\begin{bmatrix}1 \\ 2\end{bmatrix}}^{T}\, \begin{bmatrix}1 \\ -1/2\end{bmatrix} \\ &= 1 \times 1 + 2 \times \left(-\frac{1}{2}\right) \\ &= 0\end{aligned}[/tex].
The magnitudes of the two vectors are:
[tex]\begin{aligned}\| a \| &= \sqrt{1^{2} + 2^{2}} \\ &= 5\end{aligned}[/tex].
[tex]\begin{aligned}\| b \| &= \sqrt{1^{2} + \left(-\frac{1}{2}\right)^{2}} \\ &= \frac{1}{2}\, \sqrt{5}\end{aligned}[/tex].
Therefore:
[tex]\begin{aligned}\cos(\theta) &= \frac{a^{T}\, b}{\|a\| \|b\|} \\ &= \frac{0}{5 \times (\sqrt{5} / 2)} \\ &= 0\end{aligned}[/tex].
Among all angles between [tex]0^{\circ}[/tex] and [tex]180^{\circ}[/tex], the only angle with a cosine of [tex]0[/tex] is [tex]90^{\circ}[/tex]. Therefore, the angle between vector [tex]a[/tex] and vector [tex]b[/tex] must be [tex]90^{\circ}\![/tex]. Hence, these two vectors are perpendicular to one another.
PLEASE HELP!!! I JUST NEED A STEP-BY-STEP!!!!!!
HINT: integrate with respect to y first (it is an easier approach)
∫∫5x sec^2(xy) dA; R={(x,y): 0 ≤ x ≤ π/6 , 0 ≤ y ≤ 2
[Answer] -5/2 ln(1/2)
Answer:
Step-by-step explanation:
[tex]=5\displaystyle\int_{0}^{\pi/6}dx\displaystyle\int_{0}^{2}x\sec^2(xy)dy\\=5\displaystyle\int_{0}^{\pi/6}dx\displaystyle\int_{0}^{2}\sec^2(xy)d(xy)\\=5\displaystyle\int_{0}^{\pi/6}dx\tan(xy)|_{y=0}^{y=2}[/tex]
[tex]=5\displaystyle\int_{0}^{\pi/6}\tan(2x)dx\\=-\frac{5}{2}\ln\cos(2x)|_{0}^{\pi/6}\\=-\frac{5}{2}[\ln\cos(\pi/3) - \ln\cos(0)]\\[/tex]
[tex]=-\frac{5}{2}\ln{\frac{1}{2}[/tex]
04.04 SOLVING SYSTEMS OF EQUATIONS APPROXIMATELY
Need this badly
Answer:
See below ↓
Step-by-step explanation:
A) The Western Beach width decreases with increase in time whereas the Dune Beach width increases with increase in time.
B) Between Year 11 and Year 12
C) Find out the exact change in width per year for both beaches and plot them lines of change on a graph or as equations. Find where they intersect on the graph or solve the pair of equations to find out when they will both have the same width.
Which of the following is the correct factorization of this trinomial?
4x^2 - 0x - 9
A. (4x - 3)(x + 3)
B. (2x - 3)(2x + 3)
C. (2x - 9)(2x + 1)
D. (4x - 9)(x + 1)
Answer:
B. (2x - 3)(2x + 3)Step-by-step explanation:
4x² - 0x - 9 = 4x² - 9 = (2x)² - 3² = (2x - 3)(2x + 3)
used: (a - b)(a + b) = a² - b²
Horatio weighs three times as much as Kimberly and together they weigh a total of 95
How many patients had more than 5 cavities?
Answer:
2 patients had more than 5 cavities.
step-by-step explanation:
5 cavities = 26 cavities = 07 cavities = 2Here cavities > 5
so only 2 patients had more than 5 cavities also as had total 7 cavities.
Answer:
2 patients had more than 5 cavities
Step-by-step explanation:
Each dot represents a different patient.
"More than 5" means numbers greater than 5 (so from 6 onwards).
From inspection of the dot plot, there are 2 dots above all the numbers that are greater than 5.
Therefore, there are 2 patients who had more than 5 cavities.
**see annotated dot plot**
The area shaded with a pink rectangle is "more than 5 cavities"
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
Answer:
The answer should be 3 :)
Step-by-step explanation:
Pick a point on f(x) and count up until you hit the g(x) point :)
When i did this, i got 3 :)
Have an amazing day!!
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You need to buy insulation to cover the inside of a shipping container. The container is a rectangular prism that is 15 feet long, 8 feet wide, and 7 feet high. How much insulation do you need to buy if you want to insulate all the inside surfaces of the shipping container except the floor?
Answer:
442 ft²
Step-by-step explanation:
The amount of insulation needed is the amount that covers the area of the side walls and the ceiling. The area of the side walls is the product of the perimeter and height. The area of the ceiling is the product of length and width.
__
Lateral area = Ph = 2(L+W)h = 2(15 ft +8 ft)(7 ft) = 322 ft²
Ceiling area = LW = (15 ft)(8 ft) = 120 ft²
__
Insulation needed = lateral area + ceiling area = 322 ft² +120 ft²
Insulation needed = 442 ft²