Answer:
13
Step-by-step explanation:
b2-12a
2(8)-12(1/4)
16-12/4
16-3
13
El perimetro de un rectangulo mide 166 cm . Si su base mide 58 cm ¿cuanto mide su altura y cual es su area
solución:
A=1450cm²
~~~~~~~~~~~~~
Where does the graph of y= sin x from x= 0 to x= 217 start?
O A.
at its minimum
O B.
at an x-intercept
O C.
at its maximum
OD.
between an x-intercept and its maximum
Answer:
at an x intercept
Step-by-step explanation:
You need to calculate sin 0 = 0. Which means it's crossing (or at least touching) the x axis.
4y=12 and 4y=2x
So:2x=
Answer:12
Step-by-step explanation:
if 4y=12
then y=3
4y=2x
then as 4y=12 then 2x=12
Answer: 2x=12
Step-by-step explanation:
so if 4y=2x we know that 2x is also equal to 12
2x=12
Paying 13 mortgage payments instead of 12 per year can save to you thousands in interest cost. If you had a $175,000 mortgage at 6% for 30 years, how much extra would you have to pay per year to make 13 instead of a 12 mortgage mortgage payments per year? How much would you pay if you paid 1/12 of it per month?
You would pay $14,583.33 per month if you divided the mortgage amount into equal monthly payments.
To calculate the additional amount you would have to pay per year to make 13 mortgage payments instead of 12, we need to determine the monthly mortgage payment first.
Using the formula for a fixed-rate mortgage:
[tex]M = \dfrac{P(r(1 + r)^n)} { ((1 + r)^n - 1)}[/tex]
M = P(r(1 + r)^n) / ((1 + r)^n - 1)
Here:
M = Monthly mortgage payment
P = Principal amount (mortgage amount)
r = Monthly interest rate (annual interest rate / 12)
n = Total number of payments (number of years × 12)
Let's calculate the monthly mortgage payment first:
P = $175,000
r = 6% / 12 = 0.005
n = 30 × 12 = 360
[tex]M = 175,000 \times\dfrac{ (0.005(1 + 0.005)^{360})}{ ((1 + 0.005)^{360} - 1)}[/tex]
M = $1,049.91
With a monthly mortgage payment of $1,049.91, we can calculate the additional amount you would need to pay per year to make 13 payments instead of 12.
Additional payment per year = Monthly payment × 12 - Monthly payment
Additional payment per year = $1,049.91 × 12 - $1,049.91
Additional payment per year = $12,599.92 - $1,049.91
Additional payment per year = $11,550.01
Therefore, you would need to pay $11,550.01 extra per year to make 13 mortgage payments instead of 12.
Now, let's calculate the amount you would pay if you made equal monthly payments throughout the year (1/12 of the mortgage amount per month).
Amount paid per month = Mortgage amount / 12
Amount paid per month = $175,000 / 12
Amount paid per month ≈ $14,583.33
Thus, you would pay $14,583.33 per month if you divided the mortgage amount into equal monthly payments.
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PLEASE HELP THIS IS DUE IN THIRTY MINUTES
I FINNA GIVE YOU 30 POINTS, THAS A SCORE
You have $4800 to spend on fencing to enclose a rectangular area. You also want to make TWO pens as shown below. The cost of the vertical sides is $2.00 per foot and the horizontal sides cost $5.00 per foot. You desire to enclose the largest possible area you can.
a) Given x is the dimension of one side of the rectangle, enter an expression for the other dimension of the rectangle. Your answer should have an "x" in it. Also select appropriate units.
b) Find an expression for the area of the rectangle only in terms of x. Check the appropriate units.
c) What are the dimensions of the rectangle with the largest enclosed area? Enter your dimensions as a list of numbers separated by a comma. Start with the value of side labeled x FIRST.
d) What is the largest area you can enclose in a rectangle using feet of fencing?
Answer:
D
Step-by-step explanation:
A factory produces bolts at a constant rate. After 4 hours, 3,200 bolts have been produced. Which graph models a relationship with the same rate?
The graph that models the relationship between the factory production and the time is the graph in option D
The number of bolts produced within four hours is 3200
The rate of production is the ratio of the change in the number of bolts produced to the the change in time
Change in the number of bolts produced, ∆y = 3200 bolts
Change in time, ∆t = 4 hours
Rate of change = ∆y / ∆t
Rate of change = 3200/4
Rate of change = 800 bolts per hour
The only graph that models this relationship is the graph in option D because it also have a rate of change of 800 bolts per hour
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Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. Y = 27x3, y = 0, x = 1; about x = 2.
The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.
The volume of the solid of revolution can be determined by the following integral equation:
[tex]V = 2\pi\int\limits^a_b {|f(x)-g(x)|} \, dx[/tex] (1)
Where:
[tex]g(x)[/tex] - Lower bound function[tex]f(x)[/tex] - Upper bound function[tex]a[/tex] - Upper bound[tex]b[/tex] - Lower boundIf we know that [tex]b = 2[/tex], [tex]b = 1[/tex], [tex]g(x) = 0[/tex] and [tex]f(x) = 27\cdot x^{3}[/tex], then the volume of the solid of revolution is:
[tex]V = 2\pi\int\limits^2_1 {x\cdot |27\cdot x^{3}-0|} \, dx[/tex]
[tex]V = 54\pi \int\limits^2_1 {x^{4}} \, dx[/tex]
[tex]V = 54\pi \left(\frac{2^{5}}{5}-\frac{1^{5}}{5} \right)[/tex]
[tex]V = \frac{1674\pi}{5}[/tex]
The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.
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Tell whether the sequence is arithmetic. If it is, identify the common difference.
1/2,1/3,1/4, ….
1) Not arithmetic
2) Arithmetic, common difference is 1/6
3) Arithmetic, common difference is 2/3
4) Arithmetic, common difference is 1
Answer:
Not arithmetic
Step-by-step explanation:
the difference of successive terms in arithmetic sequences should be the same. notice that:
1/3-1/2 =/= 1/3 - 1/4
so it's not arithmetic.
this sequence is known as the harmonic sequence, and its sum diverges.
The rectangle below has an area of x^2 - 7x + 10 square meters and a width of x - 5 meters.
What expression represents the length of the rectangle?
Answer is (x - 2).
- BRAINLIEST answerer
If you add the lengths of the focal radii of an ellipse, what other value will you produce?
Answer: the length of the major axis
Step-by-step found it on Quizlet and got it right on the quiz
If we add the lengths of focal radii of an ellipse the value of length of major axis will produce.
What is the major axis of an ellipse?
The major axis of an ellipse is the line segment connecting the two vertices.
Since, the sum of focal distances of a point on ellipse is constant.
And it is equals to the length of major axis.
Hence, if we add the lengths of focal radii of an ellipse the value of length of major axis will produce.
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You are organizing books on the shelf. Each book has a width of 3/4 inches. write and solve an equality for the numbers of books b can fit on the shelf
3/4 = 0.75 inches
24 inches / 0.75 inches
= 32 books
Please answer lol its math
Answer:
12.5
Step-by-step explanation:
hope it helped
Answer:
12.5
Step-by-step explanation:
Divide 25ft by 2mm
> 25 / 2 = 12.5
A Create a linear expression
Answer:
(2x+A)(2x+B) = 4x2 + (2B+ 2A)x + AB. Trial and error gives the factorization 4x2 - 3x - 10 - (4x+5)(x- 2) .Step-by-step explanation:
Unit 4 linear equations homework 9 parallel and perpendicular lines (day1) activity
Directions if segments AB and CD are parallel,perpendicular, or neither
The lines that are parallel continuously have equal distances from each
other and perpendicular lines form 90° angle at their intersection.
The correct responses are;
Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular, ⊥Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel. ║Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neitherSegment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular, ⊥Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular, ⊥Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neitherThe equations are parallel, ║The equations are perpendicular, ⊥The equations are perpendicular, ⊥The equations are neither parallel or perpendicularReasons:
Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular
[tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel where; Slope of [tex]\overline{AB}[/tex] = Slope of [tex]\overline{CD}[/tex]
[tex]\displaystyle \overline{AB} \ and \ \overline{CD} \ are \ perpendicular\ where; \ Slope \ of \ \overline{AB} = -\frac{1}{Slope \ of \ \overline{CD}}[/tex]
[tex]1. \ \displaystyle Slope \ of \ \overline{AB} = \mathbf{\frac{13 - 3}{-2 - 0}} = \frac{10}{-2} = -5[/tex]
[tex]\geq \displaystyle Slope \ of \ \overline{CD} = \frac{3 - 0}{10 - (-5)} = \frac{1}{5}[/tex]
[tex]\displaystyle \mathbf{Slope \ of \ \overline{AB}} = -\frac{1}{Slope \ of \ \overline{CD}}[/tex], [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular
[tex]2. \ \displaystyle Slope \ of \ \overline{AB} = \mathbf{\frac{7- 1}{3 - (-6)}} = \frac{6}{9} =\frac{2}{3}[/tex]
[tex]\geq \displaystyle Slope \ of \ \overline{CD} = \frac{-5 - (-1)}{-6 - 0} = \frac{-4}{-6}=\frac{2}{3}[/tex]
Slope of [tex]\mathbf{\overline{AB}}[/tex] = Slope of [tex]\overline{CD}[/tex] , [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel
[tex]3. \ \displaystyle Slope \ of \ \overline{AB} = \mathbf{ \frac{2- 4}{-6 - (-2)} = \frac{-2}{-4}} =\frac{1}{2}[/tex]
[tex]\displaystyle Slope \ of \ \overline{CD} = \frac{11 - (-7)}{-1 - 5} = \frac{18}{-6}=-3[/tex]
[tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neither parallel or perpendicular
[tex]4. \ \displaystyle Slope \ of \ \overline{AB} = \frac{8- 3}{-3 - 2} = \frac{5}{-5} =-1[/tex]
[tex]\displaystyle Slope \ of \ \overline{CD} = \frac{6 - 2}{-4 - (-8)} = \frac{4}{4}=1[/tex]
[tex]\displaystyle Slope \ of \ \overline{AB} = \mathbf{-\frac{1}{Slope \ of \ \overline{CD}}}[/tex], [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular
[tex]5. \ \displaystyle Slope \ of \ \overline{AB} = \frac{-1 - 2}{-8 - (-4)} = \frac{-3}{-4} =\frac{3}{4}[/tex]
[tex]\displaystyle Slope \ of \ \overline{CD} = \mathbf{\frac{-3 - 6}{0 - 12}} = \frac{-9}{-12}=\frac{3}{4}[/tex]
Slope of [tex]\overline{AB}[/tex] = Slope of [tex]\overline{CD}[/tex] , [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel
[tex]6. \ \displaystyle Slope \ of \ \overline{AB} = \frac{5 - (-1)}{6 - 3} = \frac{6}{3} =2[/tex]
[tex]\displaystyle Slope \ of \ \overline{CD} = \mathbf{\frac{-5 - 7}{2 - (-4)}} = \frac{-12}{6}=-2[/tex]
[tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neither parallel or perpendicular
Directions: To determine if the equations are parallel or perpendicular
Solution:
The equations are parallel if when expressed in the form, y = m·x + c, the value of m are equal
The equations are perpendicular, when we have;
[tex]\displaystyle The \ value \ of \ \mathbf{m} \ in \ one \ equation = -\frac{1}{The \ value \ of \ \mathbf{m} \ in \ the \ other\ equation }[/tex]
7. First equation
3·x + 2·y = 6
Therefore; [tex]\displaystyle y = -\frac{3}{2} \cdot x + 3[/tex]
Second equation; [tex]\displaystyle y = \mathbf{-\frac{3}{2} \cdot x + 5}[/tex]
The value of m which is the coefficient of x are both equal to [tex]\displaystyle -\frac{3}{2}[/tex]
Therefore, the equations are parallel
8. Equation 1; 3·y = 4·x + 15
Therefore;
[tex]\displaystyle y = \frac{4}{3} \cdot x + 5[/tex]
Equation 2; 9·x + 12·y = 12
[tex]\displaystyle y = -\frac{9}{12} \cdot x + 1 = 1 - \frac{3}{4} \cdot x[/tex]
The slope of the equation 2 is the negative inverse of the slope of equation 1, therefore, the equations are perpendicular
9. Equation 1: 8·x - 2·y = 4
Therefore;
y = 4·x - 2
Equation 2: x + 4·y = -12
Therefore;
[tex]\displaystyle y = -\frac{1}{4} \cdot x - 3[/tex]
The slope of the equation 2 is the negative inverse of the slope of equation 1, therefore, the equations are perpendicular.
10. Equation 1: 3·x + 2·y = 10
Therefore;
[tex]\displaystyle y = -\frac{3}{2} \cdot x - 5[/tex]
Equation 2: 2·x + 3·y = -3
[tex]\displaystyle y = -\frac{2}{3} \cdot x -1[/tex]
The slopes of the equation 1 and 2 are not equal, and are not the negative inverse of each other, therefore, the equations are neither parallel nor perpendicular.
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Solve the system by substitution: y = 4x - 6
y=5x
Answer:
y=4x-6
5x=4x-6 {putting y =5x}
5x-4x=-6
x=-6
A seat for all games,events,concerts,and performances cost $900 there are 48 events in total but Alex only attended 14 how much did he pay.
kokokokokkokokokokokookokokk.
Answer:
OMG️️
Step-by-step explanation:
What is this❓
what have you wrote✍️
Answer:
hye nice what have written tell then I will answer you.
four hundred twenty five million six hundred one thousand six in standard form
Answer:
425,601,006
Step-by-step explanation:
An equation is shown.
3x+4/5=7-2x
What is the solution to the equation
x= ?
Answer:
1.24
Step-by-step explanation:
start by multiplying each term by the LCM which is 5
then you ahead and simply the equation
WILL GIVE BRAINLEST!!! A rational expression has been simplified below
(x-2)(x+6) X-2
7(x+6)
*=2
For what values of xare the two expressions equal?
Answer:
You're answer is B. All answers except -6
Step-by-step explanation:
did the test
Find the range of the graphed function.
- 10
10
-10
O A. yis all real numbers.
B. y: 0
OC. -6 sys 9
OD. -10 sys
Answer:
The answer is C
Step-by-step explanation:
The range of the function plotted on the graph is [-6, 9].
What is function?A function is a relation between a dependent and independent variable. We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is the graph of a function shown in the image.
Range of a function is the set of {y} - values that exist for the values in the domain of the function. We can see from the graph that the values of {y} range from {y} = - 6 to {y} = 9 over the entire domain. See the black dots, that black dots mean that the both the numbers -6 and 9 are included in the range. So, in the set form, we can write the range of the function as -Range : [-6, 9].
Therefore, the range of the function plotted on the graph is [-6, 9].
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There are 35 students in the elementary band. The band is doing a fundraiser, and each student must sell 12 items. How many items will be sold altogether? Use a different multiplication strategies in each of the short answer questions.
Answer:
Altogether, 420 items will be sold.
Step-by-step explanation:
12 · 35 = 420
Amat increased the amount of carbs he eats each day from 120g to 165g. By what percentage did he increase the amount of carbs he eats?
Answer:
32%
Step-by-step explanation:
help me with this please
Answer:
12
Step-by-step explanation:
[tex]1/3(3)(12)[/tex]
The 1/3 and 3 cancel and you are left with
[tex]12[/tex]
Which expression has a positive product? 0 4.(-2).0.(-3) 2.(-5). ( 4)( 1) 6. (2).8.(3) 5- (6)-( 3). (3)
Answer:
(4)(1)6
Step-by-step explanation: It only has all positives and the rest all have one negative so that affects the whole problem and turns them negative.
Find the lowest common multiple of 36
and 72
6x-14<-14 or 3x+10>13
Step-by-step explanation:
not sure the question but I can solve the equations
6x-14<-14
6x<0
×<0
3x+10>13
3x>3
×>1
what is the correct answer?!!
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Help needed! Please and thanks
Answer:
8.125 inches
Step-by-step explanation:
Ok so basically what you needed to do was this
Find out what was the value like this 3 1/4 = 3.25 and 2 1/2 = 2.5
Then you will do
3.25 x 2.5 and get your answer
8.125
There you go! Have a Wonderful Day
A car dealership pays a wholesale price of $12,000 to purchase a vehicle.
The car dealership wants to make a 32% profit.
After the markup, what is the retail price of the vehicle?
Answer:
$ 15840
Step-by-step explanation:
12000 + 32% = 15840