Answer:
set y = 0 to get the x intercept,,,,,,,,,, 0 = 2x -3 = x = 3/2 or 1.5
Step-by-step explanation:
if a real estate agent sold a piece of land for 580000. how much commission did he/she get at 2.5%
Answer:
$14500
Step-by-step explanation:
It wuld be 580,000 X 0.025=14500
Find the solution to the initial value problem
y′′+8y′+16=0, y(−1)=2, y′(−1)=3.
Answer:
y = (11x + 13)e^(-4x-4)
Step-by-step explanation:
Given y'' + 8y' + 16 = 0
The auxiliary equation to the differential equation is:
m² + 8m + 16 = 0
Factorizing this, we have
(m + 4)² = 0
m = -4 twice
The complimentary solution is
y_c = (C1 + C2x)e^(-4x)
Using the initial conditions
y(-1) = 2
2 = (C1 -C2) e^4
C1 - C2 = 2e^(-4).................................(1)
y'(-1) = 3
y'_c = -4(C1 + C2x)e^(-4x) + C2e^(-4x)
3 = -4(C1 - C2)e^4 + C2e^4
-4C1 + 5C2 = 3e^(-4)..............................(2)
Solving (1) and (2) simultaneously, we have
From (1)
C1 = 2e^(-4) + C2
Using this in (2)
-4[2e^(-4) + C2] + 5C2 = 3e^(-4)
C2 = 11e^(-4)
C1 = 2e^(-4) + 11e^(-4)
= 13e^(-4)
The general solution is now
y = [13e^(-4) + 11xe^(-4)]e^(-4x)
= (11x + 13)e^(-4x-4)
Malik borrowed $105 from his brother and plans to repay $12 per week. He creates a table to help him determine the
number of weeks it will take to repay his brother. How many weeks will it take Malik to repay his brother?
8
9
10
11
please help!!!!
Answer:
9
Step-by-step explanation:
12×9=108 108>105 so it can't be any other number cuz we go too high or too low
Answer:
9
Step-by-step explanation:
A solid is composed of squares and equilateral triangles. Its net is shown below: The area of each triangle is 16 square units. The surface area of the triangular prism is _____ square units. (Input whole number only)
Answer:
12 becayse u mulitigigivuvuu
5
5.
Madeline is making hummus for a potluck. Usually she uses 3 cloves of garlic and
17 ounces of chick peas, but this time she needs to serve more people. If she is
using 68 ounces of chick peas, how many cloves of garlic will she need?
54
12
9
15
A device has a constant failure rate with a MTTF of 2 months. One hundred of the devices are tested to failure. (a) How many of the devices do you expect to fail during the second month
Answer: the number of devices expected to fail during the second month is 24
Step-by-step explanation:
Given that
The device has a constant failure rate with MTTF of 2 months.
As the device has constant failure rate so it has exponential failure distribution
f(t) = λe^-λt
Here MTTF = 1/ λ
so λ = 1/2 Months⁻¹ = 0.5 Months⁻¹ and from the question, Number of devices = 100
E( 1 < x < 2) = E ( x < 2) - E (x < 1)
so E(x < X) can be calculated with λ = 0.5 Months⁻¹ will be calculated as the failure function
f(x) = λ exp ( - λ×t) for t > 0
F (x>0) = 1 - exp( - λx)
so E ( 1 < x < 2) = E ( x < 2) - E (x < 1)
E ( x < 2) = 1 - exp(-0.5 × 2) = 0.6321 ; E (x<1) = 1 - exp(-0.5 × 2) = 1 - exp( -0.5) = 0.3934
so E ( 1 < x < 2) = 0.6321 - 0.3934 = 0.2387
so the number of devices expected to fail during the second month is;
100 × 0.2387 = 23.87 ≈ 24
Find an equation of the plane.The plane through the point(4, −3, −1)and parallel to the plane 6x − y − z = 6
Both planes have the same normal vector:
[tex]6x-y-z=6\implies\mathbf n=\langle6,-1,-1\rangle[/tex]
The plane we want must contain the point (4, -3, -1), so its equation would be
[tex]\mathbf n\cdot\langle x-4,y+3,z+1\rangle=0[/tex]
[tex]\implies 6(x-4)-(y+3)-(z+1)=0[/tex]
[tex]\implies\boxed{6x-y-z=28}[/tex]
What is this called ........................
Answer:
C
Step-by-step explanation:
Alternate interior angles are next to each other. Sorry if im wrong.
Integrate the following w.r.t x 1) 2x^2/3.
2) (5-x)^23
Answer:
A) [tex]\int\frac{2x^2}{3}dx=\frac{2x^3}{9}+C[/tex]
B) [tex]\int(5-x)^{23}dx=-\frac{(5-x)^{24}}{24}+C[/tex]
Step-by-step explanation:
A)
So we have the integral:
[tex]\int\frac{2x^2}{3}dx[/tex]
First, remove the constant multiple:
[tex]=\frac{2}{3}\int x^2\dx[/tex]
Use the power rule, where:
[tex]\int x^ndx=\frac{x^{n+1}}{x+1}[/tex]
Therefore:
[tex]\frac{2}{3}\int x^2\dx\\=\frac{2}{3}(\frac{x^{2+1}}{2+1})[/tex]
Simplify:
[tex]=\frac{2}{3}(\frac{x^{3}}{3})[/tex]
And multiply:
[tex]=\frac{2x^3}{9}[/tex]
And, finally, plus C:
[tex]=\frac{2x^3}{9}+C[/tex]
B)
We have the integral:
[tex]\int(5-x)^{23}dx[/tex]
To solve, we can use u-substitute.
Let u equal 5-x. Then:
[tex]u=5-x\\du=-1dx[/tex]
So:
[tex]\int(5-x)^{23}dx\\=\int-u^{23}du[/tex]
Move the negative outside:
[tex]=-\int u^{23}du[/tex]
Power rule:
[tex]=-(\frac{u^{23+1}}{23+1})[/tex]
Add:
[tex]=-(\frac{u^{24}}{24})[/tex]
Substitute back 5-x:
[tex]=-(\frac{(5-x)^{24}}{24})[/tex]
Constant of integration:
[tex]=-\frac{(5-x)^{24}}{24}+C[/tex]
And we're done!
Find The Area Of The Shape Shown Below
Answer:42.55
Step-by-step explanation:
Les get the big boi out of the way first. We see that it is 3.5 by 9 and if we multiply we get 31.5. Next left triangle 2 by 2 so four but divided by 2 is 2. God so many 2's. So total is 33.5 so far. Next triangle is 2 by 5 soo 10 divided by 2 is 5. total is 38.5. Last dude in the middle. We know one side is two so we have to subtract here from the triangles which gets u the other side of 2 so 4. Total is 42.5
The Area of the Shape Shown is 42.5 square units.
What is Area of Rectangle?The area of Rectangle is length times of width.
The area of the rectangle in the given figure is
Area of rectangle=3.5×9
=31.5 square units.
The area of left side triangle is
Area of triangle=1/2×2×2
=2 square units
The area of right side triangle 1/2×5×2
=5 square units
Now the area of square =2²
=4 square units.
Now total area of figure is 31.5+2+5+4 is 42.5 square units.
Hence, the Area of the shape Shown is 42.5 square units.
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Write 6.88 billion in standard form.
Answer:
The standard form would be 6,880,000,000..
please help me i would appreciate it
Answer:
1/2 meter long
Step-by-step explanation:
To answer this question use the equation 1 1/3 - 5/6
Next make 1 1/3 an improper fraction
To do this multiply the integer and the denominator and then add all of that plus the numerator
This means that 1 1/3 is 4/3
4/3 - 5/6
Next make the denominators the same
This means finding the LCM which is 6
8/6 - 5/6 = 3/6 (1/2)
Heidis hair is 1/2 meters long
How do you Simplify the expression completely.
c(4b3+3a)+b(2cb2−6ac)
Click
Answer:
c×3 (2 b^3 - 2 a b + a)
Step-by-step explanation:
Simplify the following:
c (4 b^3 + 3 a) + b (2 c b^2 - 6 a c)
Hint: | Factor common terms out of 2 c b^2 - 6 a c.
Factor 2 c out of 2 c b^2 - 6 a c:
c (4 b^3 + 3 a) + b×2 c (b^2 - 3 a)
Hint: | Pull a common factor out of c (4 b^3 + 3 a) + b×2 c (b^2 - 3 a).
Factor c out of c (4 b^3 + 3 a) + b×2 c (b^2 - 3 a), resulting in c ((4 b^3 + 3 a) + b×2 (b^2 - 3 a)):
c (4 b^3 + 3 a + 2 b (b^2 - 3 a))
Hint: | Distribute 2 b over b^2 - 3 a.
2 b (b^2 - 3 a) = 2 b^3 - 6 a b:
c (4 b^3 + 3 a + 2 b^3 - 6 a b)
Hint: | Group like terms in 4 b^3 + 3 a - 6 a b + 2 b^3.
Grouping like terms, 4 b^3 + 3 a - 6 a b + 2 b^3 = (4 b^3 + 2 b^3) - 6 a b + 3 a:
c (4 b^3 + 2 b^3) - 6 a b + 3 a
Hint: | Add like terms in 4 b^3 + 2 b^3.
4 b^3 + 2 b^3 = 6 b^3:
c (6 b^3 - 6 a b + 3 a)
Hint: | Factor out the greatest common divisor of the coefficients of 6 b^3 - 6 a b + 3 a.
Factor 3 out of 6 b^3 - 6 a b + 3 a:
Answer: c×3 (2 b^3 - 2 a b + a)
What is (x+5)(x-4)=0 Expand and solve for x
step 1
(x - 4) • (x + 5) = 0
STEP
:
A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
Solving a Single Variable Equation:
2.2 Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4
Solving a Single Variable Equation:
2.3 Solve : x+5 = 0
Subtract 5 from both sides of the equation :
x = -5
.
Answer:
A) [tex]\huge\boxed{\sf x^2 + x - 20 = 0}[/tex]
B) [tex]\huge\boxed{\sf x = - 5 \ \ \ \ OR \ \ \ \ x = 4}[/tex]
Step-by-step explanation:
[tex]\sf (x+5)(x-4) = 0[/tex]
[tex]\rule[225]{225}{2}[/tex]
Expanding:
Expanding Brackets
[tex]\sf x^2 -4x+5x-20 = 0[/tex]
Adding / Subtracting Like terms
[tex]\sf x^2 + x - 20 = 0[/tex]
[tex]\rule[225]{225}{2}[/tex]
Solving:
Given the equation:
(x+5)(x-4) = 0
Using zero Method
Either,
x + 5 = 0 OR x - 4 = 0
x = - 5 OR x = 4
[tex]\rule[225]{225}{2}[/tex]
Sophia is designing a new welding shop for the local high school. Where should the compressed gas and fuel cylinders be stored?
Answer:
Store compressed gas cylinders in cool, dry, well ventilated areas. make sure the temperature of the storage room never exceeds 52°C. Store, handle, and use compressed gas cylinders away from incompatible materials and ignition sources
Answer:
The gas and fuel should be compressed in cool and dry place.
Which representation shows a proportional relationship between x and y?
Answer: D
Step-by-step explanation:
To have a proportional relationship, the value of y divide by x has to have the same constant value and if you were to graph it, it has to go through the origin.
A is not proportional because it is not going through the origin.
B is also not proportional because it is also not going through the origin.
Now to find out if C is proportional divide the y value by x so see if they all have a constant change.
8/2 =4
16/4 = 4
24/8 = 3
32/ 12 = 2.6
This is also not proportional .
D. 3/2 = 1.5
6/4 = 1.5
12/ 8 = 1.5
18/12 = 1.5
This represents a proportional relationship because they all have a constant change
The proportional relationship between x and y will be given by option D.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Let's check all the options:
Option A because the line has intercept.
Option B because the line is zero.
Option C:
The slope is given as,
Slope = (16 - 8) / (4 - 2) = 4
Slope = (24 - 16) / (8 - 4) = 2
Slope = (32 - 24) / (12 - 8) = 2
Option D:
The slope is given as,
Slope = (6 - 3) / (4 - 2) = 3/2
Slope = (12 - 6) / (8 - 4) = 3/2
Slope = (18 - 12) / (12 - 8) = 3/2
The proportional relationship between x and y will be given by option D.
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Let’s say that you put a cup of cold water in one room and a cup of hot water in another room. Both rooms are room-temperature. Why does the cold water get warmer? Why does the hot water get cooler?
The motion of molecules determines temperature. The faster the particles move, the higher the temperature will be.
A cold cup of water will warm up to room temperature because the energy of the air in the room transfers to the cold water to make the water molecules move faster. The energy goes from hot to cold. The energy transfer is due to the molecules colliding into one another.
The hot cup of water cools down because the energy of the water molecules leaks out to the surrounding air to warm up the air around it, which is why you can feel the heat of the steam of water.
As for why you can feel cold things, its because the energy from your hand moves toward the cold object (again energy going from hot to cold), which makes your brain perceive the cold object.
Find FH
Need help ASAP !!
Answer:
[tex]FH=22[/tex]
Step-by-step explanation:
FH is the combined lengths of FG and GH.
In an equation, this is:
[tex]FH=FG+GH[/tex]
We already know that FG is 8 and that GH is 14. Thus:
[tex]FH=8+14[/tex]
Add:
[tex]FH=22[/tex]
So, the length of FH is 22.
And we're done!
A couple wants to install a square mirror on their bathroom wall. The area of the square mirror is 720 square inches. To the nearest hundredth of an inch, what length of wood trim is needed to go around the entire mirror?
Answer:
107.33 inches
Step-by-step explanation:
Area of the square more = length ^2
Area of the square mirror = 720 square inches
Area of the square more = length ^2
720 = length^2
Find the square root of both sides
√720 = √lenght^2
Length = √720
Length = 26.83281573 inches
Each length of the wood = 26.83281573 inches
There are 4 equal sides on the square mirror
Total length of the wood = 26.83281573 × 4
= 107.33126292 inches
Length of wood trim is needed to go around the entire mirror to the nearest hundredth = 107.33 inches
10×10×10×10 equals 1,000
Answer:
yesss it does
Step-by-step explanation:
CONGRATULATIONSSSSS
Answer:
Incorrect
Step-by-step explanation:
10x10x10x10 or 10 to the 4th power has 4 0's and 1,000 only has 3. So, 10x10x10x10=10,000
Angles 1 and 2 are complementary, and angle 1=3x+3 and angle 2=10x-4, find the degree measure of each angle
Answer:
The measure of the angles:
24° and 66°
Step-by-step explanation:
Complementary angles sum 90°
then:
(3x + 3) + (10x-4) = 90
3x + 10x + 3 - 4 = 90
13x - 1 = 90
13x = 90+1
13x = 91
x = 91/13
x = 7°
then:
angle 1:3x+3 = 3*7 + 3 = 21+3 = 24°
angle 210x - 4 = 10*7 - 4 = 70 - 4 = 66°
Check:
66° + 24° = 90°
Josue ran 6/10 of a mile and jogged 4/10 of a mile. What is the difference in simplest form
Answer:
1/5
Step-by-step explanation:
Find the difference quotient and simplify your answer.
f(x) = x2 – 2x + 6,
h = 0
h
f(8 + h) – f(8),
We're given that
[tex]f(x)=x^2-2x+6[/tex]
which means
[tex]f(x+h)=(x+h)^2-2(x+h)+6=x^2+2xh+h^2-2x-2h+6[/tex]
When we subtract these, several terms cancel:
[tex](x^2+2xh+h^2-2x-2h+6)-(x^2-2x+6)=2xh+h^2-2h[/tex]
So the difference quotient is
[tex]\dfrac{f(x+h)-f(x)}h=\dfrac{2xh+h^2-2h}h[/tex]
and since h ≠ 0, we can cancel it out to end up with
[tex]\dfrac{f(x+h)-f(x)}h=2x+h-2[/tex]
Now plug in x = 8 (this could have been done at any prior point):
[tex]\dfrac{f(8+h)-f(8)}h=14+h[/tex]
Solve for x:-2(x+3)=-2(x+1)-4
Answer:
x is any real number
Step-by-step explanation:
The simplified form of the equation is ...
-2x -6 = -2x -2 -4
-2x -6 = -2x -6 . . . . . . . . true for any x
x is any real number.
___
The equation effectively resolves to 0x=0, which will always be true for any value of x.
Don't call me square! While I have four right angles,
that term wouldn't be fair. While I have two parallel
sides, they both measure a different size. What shape
am I Draw me.
find (f+g) (x) f (x) = 4x - 4 and g (x) = 2x^2 - 3x
(f+g)(x) = f(x) + g(x)
= 4x - 4 + 2[tex]x^{2}[/tex] - 3x
= 2[tex]x^{2}[/tex] + x - 4
A school have 764 students of the students 118 are in the third grade. Which equation can be used to find s, the total of students in all of the other grades?
Answer:
764 - 118 = 646
Step-by-step explanation:
Answer:
subtract 118 from 764 and that's the rest of the students
Lydia was doing (blank) without realizing it was based on Whole Number Properties.
ро
Daniella is planning to take her friend to a concert for her birthday. Tickets to the concert are $55 each and
there is a $25 service fee added to the total ticket cost. If Daniella has $100 savied, how much more does she
need to save to buy the concert tickets?
Answer:
60
Step-by-step explanation:
ingressos: 55 x 2 = 110
25 x 2= 50 Tax
110+50=160 total
160-100= 60
HELP ME PLS I DONT UNDERSTAND :(((( WILL MARK BRAINLIEST AND ROBUX
Answer:
H -2 ≤x≤4
Step-by-step explanation:
The domain is the input values or the x values
-2 ≤x≤4
Answer:
H
Step-by-step explanation:
You can see because the answer starts with -2.