Answer:
2.5 feet
Step-by-step explanation:
10 feet is the length to the window this leaves us with 5 feet remaining half this to get a stable incline to the window (meaning we dont fall)
Multiply (x-3)(4x+2) using the FOIL method. Select the answer choice showing the FOIL method products
The result of (x-3)(4x+2) using FOIL method is 4x^2 -6x +2x -6.
The FOIL method is a technique used to multiply two binomials. It stands for "First, Outer, Inner, Last" and follows these steps:
First: Multiply the first term of the first binomial by the first term of the second binomial
Outer: Multiply the first term of the first binomial by the second term of the second binomial
Inner: Multiply the second term of the first binomial by the first term of the second binomial
Last: Multiply the second term of the first binomial by the second term of the second binomial
Applying FOIL method to (x-3)(4x+2) we get:
First: 4x * x = 4x^2
Outer: 4x * -3 = -12x
Inner: -3 * 4x = -12x
Last: -3 * 2 = -6
So the result of (x-3)(4x+2) is 4x^2 -12x -12x -6 = 4x^2 -24x -6.
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x < 5 and x + 2y ≥ 1
Answer:
-1
Step-by-step explanation:
Justin can run 2 laps in 1 minute. Which equation below represents this situation?
a) y = x/2
b) x = 2y
c) y = x + 2
d) y = 2x
a small ior shows the data is
Answer:
Don't have enough infromation to answer that.
Step-by-step explanation:
The scale on a map is 1 : 30 000 What is the actual distance represented by 1 centimeter? Give your answer in meters
Bart and April are purchasing a house with a 15-year, 2/1 ARM for $315,000 at 5. 85% with a 2/8 cap structure. What will the difference in
payments be from year 2 to year 3?
$309. 69
$595. 18
$333. 68
$86. 56
The monthly payment for this difference would be $1,361.21. An Adjustable Rate Mortgage (ARM) is a type of mortgage in which the interest rate on the loan changes over time.
An Adjustable Rate Mortgage (ARM) payment is based on various factors such as the loan amount, interest rate, and the terms of the ARM. The interest rate is usually tied to a specific financial index, such as the U.S.
Here is the calculation format for the difference in payments between year 2 and year 3 for Bart and April's mortgage:
Total amount to be paid for the mortgage: $315,000
Rate of interest: 5.85% (Depreciating rate)
Time = 2 years:
a. Remaining amount to be paid after 2 years:
Principal × (1 - Rate/100)^time
= $315,000 × (1 - 5.85/100)²
= $315,000 × (1 - 0.0585)²
= $279,223.01
Time = 3 years:
a. Remaining amount to be paid after 3 years:
Principal × (1 - Rate/100)^time
= $315,000 × (1 - 5.85/100)³
= $315,000 × (1 - 0.0585)³
= $262,888.46
Difference in payments from year 2 to year 3:
= Remaining amount after 2 years - Remaining amount after 3 years
= $279,223.01 - $262,888.46
= $16,334.55
The monthly payment for this difference would be $1,361.21, which is calculated by dividing the difference in payments by 12:
$16334.546/12 = $1361.21
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Molly is building a model roller coaster as part of a school project she chose the millennium force in cedar point which is 94 meters tall to model if molly uses a scale of 1 centimeter = 4 meters what will be the height of the model
Answer:
23.5 cm
Step-by-step explanation:
You want the height of the model of a 94 m tall roller coaster when the model scale is 1 cm = 4 m.
ProportionThe model dimensions are assumed to be proportional to the real-world dimensions, so the model height h will satisfy the proportion ...
h/(94 m) = (1 cm)/(4 m)
Multiplying by 94 m gives ...
h = (1 cm)(94/4) = 23.5 cm
The height of the model is 23.5 cm.
In a market urvey, 100 trader ell fruit. 40 ell apple, 46 orange, 50 mangoe, 14 apple and orange, 15 apple and mangoe and 10 ell all three fruit each of the 100 trader ell at leat one of the three fruit. (A) how many trader ell only one fruit. (B) how many trader ell only two fruit
A)There are 88 trader sell only one fruit.
B) There are 46 trader sell only two fruit.
Since there are three sets, use the formula
n (A∪O∪M) = n(A) + n(O) + n(M) - n(A∩O) -n(O∩M) - n(A∩M) + n(A∩O∩M)
A represents apple traders = 40
O represents orange traders = 46
M represents mangoes traders = 50
A∪O∪M = total traders = 100
A∩O = 14
O∩M = ?
A∩M = 15
A∩O∩M = 10
B) Substitute values into the formula
100 = 40 + 46 + 50 - 14 - 15 - O∩M + 10
100 = 146 - 29 - O∩M
100 = 117 - O∩M
Make O∩M subject of formula
O∩M = 100 -117
O∩M = 17 traders
Now,
n(A∩O) -n(O∩M) - n(A∩M)
= 14 + 17 + 15
= 46
Therefore, the number of traders that sells two fruits are 46.
A) oranges n(O)
= 46-(4+10+ x)
= 32
Again,
mangoes n(M).
= 50-(5+10+x)
= 35
Now,
apple n(A)
= 40-(4+10+5)
= 21
Now, adding all of them we get:
n(o) + n(M) + n(A) = 32 + 35 + 21
= 88
Therefore, 88 trader sells only two fruit
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please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
0.44
Step-by-step explanation:
Sin∠ D= EC/DC
⇒ Sin D= 39/89⇒ Sin D= 0.44-------------------------------
hope it helps...
have a great day!!
Answer:
sin D = 0.44
Step-by-step explanation:
sin D = opp/hyp
The side opp D must be CE since the side opp D cannot contain D
opp = CE = 39
The hypotenuse must be DC since it's the longest
hyp = DC = 89
sin D = 39/89
sin D = 0.4382022472
To the nearest hundredth
sin D = 0.44
There are 3 people pulling on an object, the first person pulls with a force of 226 newtons at a direction of 145 degrees the second person pulls with a force of 331 newtons at a direction of 303 degrees. The third person pulls with a force of 377 newtons at a direction of 77 degrees. find the resultant vector . find the resultant force . find the direction
Answer:
[tex]R=883.74N[/tex]
Step-by-step explanation:
From the question we are told that:
Force 1 [tex]F_1=226N[/tex]
Force 2 [tex]F_2=331N[/tex]
Force 3 [tex]F_3=377N[/tex]
Direction 1 [tex]\theta_1=145 degrees \approx 35 \textdegree (2nd qudrant)[/tex]
Direction 2 [tex]\theta_2=303 degrees \approx 57 \textdegree (3rd qudrant)[/tex]
Direction 3 [tex]\theta_3=77 degrees[/tex]
Generally Resolving forces to X axis is mathematically given by
[tex]\sum f_x=337cos77+331cos57+226sin35[/tex]
[tex]\sum f_x=351.596N[/tex]
Generally Resolving forces to Y axis is mathematically given by
[tex]\sum f_y=337sin77+331sin57+226cos35[/tex]
[tex]\sum f_x=810.788N[/tex]
Generally the equation for Resultant force R is mathematically given by
[tex]R=\sqrt{\sum f_x^2+\sum f_x^2}[/tex]
[tex]R=\sqrt{351.596^2+810.788^2}[/tex]
[tex]R=883.74N[/tex]
Pls help me anyone
I don’t get this pls
Answer:
1. Y=-2x+3
2. Y=3x+2/3
I'm sorry I can't get them all but I know these are right
A bus company uses a grid to locate bus stops. The bus station is at (3, 4). The point (7, 6) represents
the first bus stop. The location of the second bus stop is determined using the same relationships as
those between the coordinates of the bus station and the first bus stop.
City Bus Stops
North
Choose...
12
10-
City Blocks
6
8
4
2
N.
Bus Station
: increases by 2.
2
(7.6)
increases by 4, and the
(11,8)
4 6 8 10 12
City Blocks
Use the drop-down menus to describe the relationships between the coordinates of the first and second
bus stop.
The Choose...
East
Answer: The relationship between the x-coordinates of the first and second bus stop is that the x-coordinate of the second bus stop is 4 units greater than the x-coordinate of the first bus stop.
The relationship between the y-coordinates of the first and second bus stop is that the y-coordinate of the second bus stop is 2 units greater than the y-coordinate of the first bus stop.
Step-by-step explanation:
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 87 m long and 69 m wide. What is the length of a training track running around the field? (Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.)
Answer:
607.32
Step-by-step explanation:
two semi circles make a whole circle so use the normal circumfrence formula 2 pi r
circumfrence = 433.32
the perimeter of the rectangle is 87 + 87, because they are on the outside of the field.
The answer is 607.32
Given ΔRST : ΔLMN, which of the following is true? PLZZZZZZ ANSWER FOR 50 POINTS!!!!!!!!
R L
S L
S N
R M
Answer:
hope this helps you pls give me brainless.
Find the probability that a point chosen at random will lie in the shaded area.
A) 32%
B)62%
C)94%
D)2%
A. the function has a maximum value of 1
B.the function has a minimum value of 1
C.the function has a maximum value of -2
D.the function has a minimum value of -2
Answer:
A) The function has a maximum value of 1
Step-by-step explanation:
Since the parabola opens downward, then its maximum would be 1 and its minimum would be -∞
CAN YOU HELP ME FAST PLEASE
Q 1 ans supplementary
Q2 ans congurent
Q3 ans neithee
Write an equation in slope-intercept form of the line that passes through the points
(12,10)and (16,8).
Answer:
y=-1/2x+16
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(8-10)/(16-12)
m=-2/4
m=-1/2
y-y1=m(x-x1)
y-10=-1/2(x-12)
y=-1/2x+12/2+10
y=-1/2x+6+10
y=-1/2x+16
pleasee help!!! this is geometry
Answer:
Step-by-step explanation:
F TV day job cut hv h the BBC gg was the only time I had a chance of playing it for the last night of my life lol I love you and you are ok with your such good friends I know I love it but it’s ok I’m not sure how to get it away I don’t think you can get me to type in the car.
Complete the square to find the vertex of this parabola
Answer:
[tex](2,-6)[/tex]
Step-by-step explanation:
[tex]x^2-4x+y+10=0[/tex]
[tex]y=x^2+4x-10[/tex]
[tex]y=-(x^2-4x)-10[/tex]
[tex]=-(x^2-4x+4)-10+4[/tex]
[tex]=-(x-2)^2-6[/tex]
[tex]y=-(x-2)^2+(-6)[/tex]
[tex]h=2 ~and~ k=-6[/tex]
So, vertex → (2,-6)
[tex]------------[/tex]
hope it helps..
have a great day!!
Given two points, (3, 2) and (7, 18), determine both the linear and quadratic equations crossing both points. Let f(x) and f(k) be the linear and quadratic equation respectively. Write both in standard form
The linear equation f(x) is 4x - 10 and the quadratic equation f(k) is -5/2k^2 + 4k - 1 for the two given points.
The linear equation can be found using the slope-intercept form (y = mx + b), where m is the slope of the line and b is the y-intercept. To find the slope (m) we can use the two points given:
m = (y2 - y1) / (x2 - x1) = (18 - 2) / (7 - 3) = 16/4 = 4
The y-intercept (b) can be found using one of the points and the slope:
b = y - mx = 2 - 4(3) = -10
So the linear equation in standard form is:
f(x) = 4x - 10
For the quadratic equation, we know that it's in the form of y = ax^2 + bx + c. We have 2 points, so we have 2 equations with 2 unknowns. We can use this information to solve for a, b and c.
Let's (3,2) point 1 and (7,18) point 2.
f(k) = ak^2 + bk + c....(1)
point 1: f(3) = 2 = 9a + 3b + c...(2)
point 2: f(7) = 18 = 49a + 7b + c...(3)
Now we have 2 equations and 3 unknowns.
using theirs first equation and substitute it in the second and third equation
18 = 49a + 7b + c
2 = 9a + 3b + c
c = 2 - 9a - 3b
18 = 49a + 7b + (2 - 9a - 3b)
18 = 49a + 7b + 2 - 9a - 3b
18 = 40a + 4b + 2
16 = 40a + 4b
now this equation is used to solve for a and b
b = (16 - 40a) / 4
so a,b and c are
a = -5/2
b = 4
c = -1
so the quadratic equation in standard form is:
f(k) = -5/2k^2 + 4k - 1
4x - 10 is the linear equation f(x) and -5/2k^2 + 4k - 1 is the quadratic equation f(k) for the two given points.
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find the area of the circle
Kelsey starts downloading a file. After 4 seconds, her computer says 40% of the file has downloaded."
How many seconds will it take in all to download the file at this rate?
Answer:
6 seconds left, 10 seconds total.
Step-by-step explanation:
40 / 4 = 10
Increases by 10% each second
60% left, so 60 / 10 = 6
Answer:
6 seconds left, 10 seconds total.
Step-by-step explanation:
40 / 4 = 10
Increases by 10% each second
60% left, so 60 / 10 = 6
Step-by-step explanation:
which of the following statements is true? a. the radius of a circle is twice its diameter b. to find the diameter of a circle, divide its circumference by pie. c. the circumference of a circle is grater than its diameter
Answer:
Statement B, C, E are correct
Solution:
We have to find the true statements
We know that,
To find the diameter of a circle, multiply its radius by two
Thus statement E is correct
Also,
To find the diameter of a circle, divide its circumference by π
Thus statement B is correct
circumference of a circle is obtained by multiplying diameter with pi
The circumference of a circle is greater than its diameter
Thus, Statement C is correct
C.
The circumstances is a circle that is greater than the diameter
PLEASEE HELP ASAP ILL GIVE BRAINLIST
Answer:
1a) 77 + 84v
1b) 70d + 10m
2a) 96 + 40r
2b) 6p + 8
3a) 27a + 24
3b) 11a + 90
Hope that helps! :)
_Aphrodite
Step-by-step explanation:
Answer:
Mathaway/algerba is a good way to figure out these problems
Step-by-step explanation:
i use it all the time haha
A line is parallel to y = 4x + 1 and
intersects the point (-2, -5). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y₁ = m(x - X1)
Then write the equation in slope-intercept form.
Step-by-step explanation:
(-2,5), refer to the step-by-step. Feel free to comment any questions you may have!
Step-by-step explanation:
Given the system of equation, \left \{ {{x+6y=28} \atop {2x-3y=-19}} \right.{
2x−3y=−19
x+6y=28
, solve by elimination.
\left \{ {{-2(x+6y=28)} \atop {2x-3y=-19}} \right.{
2x−3y=−19
−2(x+6y=28)
, multiply the top equation by -2.
We get, \left \{ {{-2x-12y=-56} \atop {2x-3y=-19}} \right.{
2x−3y=−19
−2x−12y=−56
+ {{-2x-12y=-56} \atop {2x-3y=-19}} \right. , add the equations together.
We get, -15y=75−15y=75 , we just eliminated the variable, x, we can now solve this equation for y.
-15y=-75 = > y=\frac{-75}{-15}−15y=−75=>y=
−15
−75
, y=\frac{75}{15} = > y=5y=
15
75
=>y=5
We just found the value y, which is y=5. Now we can take this value and plug it into y for either of the two original equations and solve for x. I will take the top equation...
x+6y=28 = > x+6(5)=28 = > x+30=28x+6y=28=>x+6(5)=28=>x+30=28 , subtract the value, 30, from both sides. We get, x=-2x=−2 .
We found the value x, x=-2.
Thus the solution to the given system of equations is (-2,5).
Answer:
Comparing given eqn of line i.e.y=4x + 1 with
y=mx+c,we get,
m=4
We know that parallel lines have same value for m and the line parallel to y=4x+1 passes through the point (-2,-5) i.e (x1,y1)
Now,using point slope formula,we get
y-(-5)=4{x-(-2)}
or,y+5=4(X+2)
or,y+5=4x+8
or,y=4x+8-5
:.y=4x+3 is the req eqn for line parallel to y=4x+1
*mark me brainliest!!!!!!!
what is 2 2/3 x 3 1/4
Answer:
Step-by-step explanation:
Tell whether (0, -1) is a
is a solution of the inequality whose graph is shown.
Answer:
No, the point isn't in the shaded area
Step-by-step explanation:
Percent of change. What is 40 decreased to 33
Answer:
13.2
Step-by-step explanation:
40 decreased by 33% = 26.8
Absolute change (actual difference):
26.8 - 40 = - 13.2
Find the measure of the missing angle? please help :)
The measure of the angle ∠SUT will be 30°. Then the correct option is C.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.
The measure of the angle ∠SUT is calculated as,
∠SUT + ∠UTS = ∠JST
∠SUT + 80° = 110°
∠SUT = 110° - 80°
∠SUT = 30°
The measure of the angle ∠SUT will be 30°. Then the correct option is C.
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