Answer:
Domain: [tex](-\infty,\infty)[/tex]
Range: [tex]f(x) \ge 0[/tex]
Step-by-step explanation:
Given
[tex]f(x) = |x + 6|[/tex]
Required
The domain and the range
First, we calculate the domain
[tex]f(x) = |x + 6|[/tex]
The above function does not have roots or fraction, where x is the denominator. This means that the domain is all real numbers, i.e. [tex](-\infty,\infty)[/tex]
The range
The function is an absolute function; So, the minimum value is 0.
Hence, the range is:
[tex]f(x) \ge 0[/tex]
Answer:
A
Step-by-step explanation:
on edge
If F is conservative, find all potential functions f for F so that F = ∇f. (If F is not conservative, enter NOT CONSERVATIVE. Use C as an arbitrary constant.)
Answer: some parts of your question is missing below is the missing data
Determine if the given vector field F is conservative or not. F = −6e^y, (−6x + 3z + 9)e^y, 3e^y
answer:
F is conservative
F = -6xe^y + ( 33 + 9 ) e^y + C
Step-by-step explanation:
The Potential functions for F so that F = ∇f.
F = -6xe^y + ( 33 + 9 ) e^y + C
attached below is a detailed solution
Who can help me with problem 2 you can earn 11 points
Answer:
m∠ADC = 90°
5x-5 = 90
x = 19
Step-by-step explanation:
Which of the following best describes a basic postulate of Euclidean
geometry?
A. All circles measure 360°
B. All right triangles are congruent.
C. A straight line segment has a midpoint.
D. A straight line segment can be drawn between any two points.
Answer:
D. A straight line segment can be drawn between any two points.
Step-by-step explanation:
Euclid of Alexandria was famously known and regarded as the founder of geometry, as well as the father of geometry. He was born in the Mid-fourth century, BC and he specialized in the field of Mathematics. Some of his popular works in the field of Mathematics were Euclid's Elements, Euclidean algorithm and Euclidean geometry.
One of the basic postulate of Euclidean geometry is that a straight line segment can be drawn between any two points.
Others include;
I. All right angles are congruent.
II. All straight line segment is indefinitely extendable in a straight line.
The population of a town is 157,220 and is decreasing at a rate of 0.8% each year. Predict the population in 5 years (round to the nearest whole number).
Answer:
151,031
Step-by-step explanation:
If the population of a town is decreasing at 0.8% each year, the new population of the town will be [tex]100\%-0.8\%=99.2\%[/tex] of what it was last year. To find 99.2% of something, multiply it by 0.992. Therefore, we can write the following equation:
[tex]f(x)=157,220\cdot 0.992^x[/tex], where [tex]f(x)[/tex] is the population of the town [tex]x[/tex] years after the town had a population of 157,220.
Substitute [tex]x=5[/tex] into this equation to get the projected population after 5 years:
[tex]f(5)=157,220\cdot 0.992^5, \\f(5)=151031.019048,\\f(5)\approx \boxed{151,031}[/tex]
Therefore, in 5 years, the population should be 151,031.
Help would be greatly appreciated
Answer:2/pi
Step-by-step explanation:
First, name the points. Top Left will be A, Top Right will be B, Bottom Right will be C, and Bottom Left will be D. Now, the area of ABCD is 4. Then, we have to find the area of the circle. The center to the midpoint of AB is 1. The length of the midpoint of AB to B is 1. So, using the Pythagorean Theorem, it will be 1^2 + 1^2 = 2, then it will be sqrt2. Finding the area of the circle will be easy now that we have the radius. sqrt2*sqrt2*pi = 2pi. So, it will be 4/2pi, and simplified, it will be 2/pi.
The figure that will be formed if two 45° 45° 90° setsquares are put together is _________.
The mass of 5 m' of copper is 44 800 kg. Work out
the density of copper.
Review the data you collected for the angles in Question 2. Notice that ∠CFB is one of four angles formed by the two intersecting chords. What relationship do you observe that could help you determine the measure of any of the four angles created by two intersecting chords? Write the relationship as an equation.
Answer:
The measure of an angle created by two intersecting chords is half the sum of the measure of the intercepted arc and the measure of the arc vertically opposite to the angle. In this case, I can write m∠CFB = 1/2(m∠CAB + m∠EAD) because the measure of an intercepted arc is equal to the measure of its corresponding central angle.
Explanation:
sample answer from edmentum
Rohann recently finished some renovations to his house. 20 square meters of carpeting cost $875 while 17 square meters of hardwood flooring cost $750. Which flooring is more expensive per square meter?
Answer: Hardwood flooring
Step-by-step explanation:
Given
Rohann renovation of Carpentering cost $875 for [tex]20\ m^2[/tex]
For hardwood flooring [tex]17\ m^2[/tex] cost $750
So, cost per square meter for different floors are
[tex]\Rightarrow \text{Carpentering}=\dfrac{875}{20}\\\\\Rightarrow \text{Carpentering}=\$43.75/m^2[/tex]
[tex]\Rightarrow \text{Hardwood}=\dfrac{750}{17}\\\\\Rightarrow \text{Hardwood}=\$44.11/m^2[/tex]
Thus, the cost of the Hardwood flooring is more expensive.
What is the inverse of the function () 2x 10?
Answer:
I assume that we want to find the inverse of the function:
f(x) = 2*x + 10
Remember that the inverse of a function f(x), is a function g(x) such that:
f( g(x) ) = g( f(x) ) = x
Because f(x) is a linear function, we can assume that g(x) will also be a linear function:
g(x) = a*x + b
let's find the values of a and b.
We will have that:
f( g(x) ) = 2*g(x) + 10 = 2*(a*x + b) + 10
And that must be equal to x, then we need to solve:
2*(a*x + b) + 10 = x
2*a*x + 2*b + 10 = x
this must be true for all values of x, so we can separate it as:
(2*a*x) + (2*b + 10) = x + 0
2*a*x = x (one equation for the terms with x)
2*b + 10 = 0
Solving these two equations we get:
2*b = -10
b = -10/2 = -5
2*a*x = x
2*a = 1
a = 1/2
Then the inverse function is:
g(x) = (1/2)*x - 5
Find the volume of a pyramid with a square base, where the area of the base is 12.5 ft ^2 12.5 ft
2
and the height of the pyramid is 16 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
833.3 ft^3
Step-by-step explanation:
The formula for the volume of a pyramid is:
V = (lwh)/3
V = volume
l = length of base
w = width of base
h = height of pyramid
Now we just correspond the values with the variables:
l = 12.5
w = 12.5
h = 16
And plug these values into the formula:
((12.5)(12.5)(16))/3
((156.25)(16))/3
2500/3
833.3 ft^3
Hope this helps (●'◡'●)
The solution is : the volume of a pyramid with a square base is 833.3 ft^3.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
we know that,
The formula for the volume of a pyramid is:
V = (lwh)/3
V = volume
l = length of base
w = width of base
h = height of pyramid
Now we just correspond the values with the variables:
l = 12.5
w = 12.5
h = 16
And plug these values into the formula:
=((12.5)(12.5)(16))/3
=((156.25)(16))/3
=2500/3
=833.3 ft^3
Hence, The solution is : the volume of a pyramid with a square base is 833.3 ft^3.
To learn more on volume click :
brainly.com/question/1578538
#SPJ2
Help urgent In a class of 35 students 15 of them have cats 16 have dogs 3 hangs none how many probability does have both
Answer:
9/25
Step-by-step explanation:
Number of student who has cat , dog = 25 - 3 = 22
Number of students who has cat and dogs = (15 + 16) - 22
= 31 - 22 = 9
Number of students who has only cats = 15 - 9 = 6
Number of students who has only dogs = 16 - 9 = 7
P(Cat & dog) = 9/25
Solve (−3) ⋅ 2
please help
Answer:
-6
Step-by-step explanation:
3*2=6
so the opposite of 6 is -6
Also a negetive times a positive is always a negetive number
please help me for this
The price of an item changed from $175 to $150. Later, the price decreased to $125. Which of the two decreases was larger in percentage and how much is it?
Answer:
The second decrease is larger at 16 1/6% decrease
Step-by-step explanation:
175 to 150
Take the original price minus the new price divided by the original price
(175 -150) /175 =25/175 = 1/7 =.142857143 = 14.28 % decrease
150 to 125
Take the original price minus the new price divided by the original price
( 150-125)/150 = 25/150 = 1/6 =.16666 = 16 1/6 % decrease
The second decrease is larger at 16 1/6% decrease
6) Given that the point (3, −10) lies on the graph of a function , what point must be on the graph of ℎ
where ℎ() = ( − 4) + 2?
Answer:
(7,-8)
Step-by-step explanation:
Given
(x,y) = (3,-10)
Required
The equivalent point on h(x) = k(x - 4) + 2
(x,y) = (3,-10) means
k(3) = -10
Substitute 7 for x in h(x)
h(7) = k(7-4) + 2
h(7) = k(3) + 2
Substitute -10 for k(3)
h(7) = -10 + 2
h(7) = -8
So, the equivalent point on h(x) is
(7,-8)
What are angles a,b and c
Answer:
A=38°
B=84°
C=68will use the property of an isosceles triangle to find the answer
if the mean of x1,x2,x3 and x4 is 6 then find the mean of x1+10,x2+8,x3+16 and x4+2
Answer:
f the mean of this set is equal to 20, we can write down the below equation,
20 = (x1 + x2 +x3 + .... + x10)/10
x1 + x2 + x3 + ... x10 = 200
Then we can also write an equation for the mean of the given numbers as below,
Mean = [(x1+4) + (x2+8) + (x3+12) + .... + (x10+40)]/10
= (x1 + x2 + x3 + ... + x10 + 4 + 8 + 12 + ... + 40)/10
Then we can use above equation (1) to replace x1 + x2 + x3 + ... + x10 by 200
Mean = (200 + 4 + 8 +12 + 16 + 20 + 24 + 28 + 32 + 36 + 40)/10
= 420/10
= 42
If you remember Arithmetic Progressions you can simply add together the above number set.
If you closely look above, you can find that there is an Arithmetic Progression : 4, 8, 12, ... , 40
Here we want the addition of 10 terms. So we can use,
Sn = n/2(a+l)
S10 = 10/2(4+40)
= 220
Then you can easily get the answer,
Mean = (200 + 220)/10
= 42
A shopkeeper allows 15% discount on the marked price, still he manages to have 7% profit. How much high did he mark his goods above the cost price?
Answer: [tex]25.9\%[/tex]
Step-by-step explanation:
Given
Shopkeeper allows 15% discount on the marked price and still manages a profit of 7%
Suppose the marked price is [tex]x[/tex]
So, the selling price is [tex](1-0.15)x=0.85x[/tex]
Suppose the cost price is [tex]y[/tex]
[tex]\Rightarrow \dfrac{0.85x-y}{y}=7\%\\\\\Rightarrow \dfrac{0.85x}{y}-1=0.07\\\\\Rightarrow \dfrac{0.85x}{y}=1.07\\\\\Rightarrow y=\dfrac{0.85x}{1.07}\\\\\Rightarrow y=0.794x[/tex]
So, the percentage the shopkeeper marked his goods above cost price
[tex]\Rightarrow \dfrac{x-y}{y}\times 100\\\\\Rightarrow \dfrac{x-0.794x}{0.794}\times 100\\\\\Rightarrow \dfrac{0.2056}{0.794x}\times 100\\\\\Rightarrow 25.89\%\approx 25.9\%[/tex]
An item on sale costs 80% of the original price. The original price was $41.
Answer:
$32.80
Step-by-step explanation:
So you are trying to find out how much does the sale price cost?
Ok convert $41 into a decimal
$41 = $0.41
Then multiply 80% x $0.41
80 x $0.41 = 32.80
Answer:
$32.8
Step-by-step explanation:
Solve using a proportion
if 100%= $41 and 80% = x, then you cross multiply, and you get 100x = 41 (80), which would become 100x = 3280. Then you divide by 100 on both sides to get 32.8, which would be your answer!
solve the formula for a
(q&c in picture)
Answer:
C
Step-by-step explanation:
Subtract Vot from the given equation
s - Vo*t = 1/2 a t^2 Multiply by 2
2(s - Vo*t) = at^2 Divide by t^2
2(s - Vo*t) / t^2 = a
Looks like C is the answer.
find the value of the unknown.
Answer:
86.5
[tex]14 + 8 + 12.5 = 34.5 \: \: 121 - 34.5 = 86.5[/tex]
Factor the polynomial function over the complex numbers.
f(x)=x^3+2x^2+5x+10
Answer:
[tex]{ \tt{f(x) = (x + 2)(x + 2.2i)(x - 2.2i)}}[/tex]
What is the value of c
Answer:
if im not mistaken its 121
Step-by-step explanation:
Answer:
99°
Step-by-step explanation:
The interior angle sum of any 5 sided polygon is 540°.
540-53 = 487 - 137 = 350 - 105 = 245- 146 = 99°
Expand and Simplify
10a-(3a+7)
Sam buys a carpet for his apartment. The diagonal length of the carpet is 12 feet and the width is 10 feet. Find the length of the carpet.
Answer: 6.633 Feet
Step-by-step explanation:
choose the equation that satisfies the data in the table
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
See this attachment
option D is correctHow do i get X? i cant quite figure it out
Answer:
x is 90° I hope it will help you please follow me
Answer:
My answer came 78°
Step-by-step explanation:
First, B and C are alternate angles so,
71°= y (let) + 29°
Y= 42°
Then, X + 42 + 60 = 180°
X = 180 - 102
X = 78 °
Hope this helps. :)
what is the difference
Answer:
what is question of this you asked
A polynomial p has zeros when x = -2, x = 1/3, and x =3.
What could be the equation of p? Choose 1 answer:
a. p(x) = (x + 2)(x + 3)(3x + 1)
b. p(x) = (x + 2)(x + 3) (3x - 1)
C. p(x) = (x + 2)(x - 3)(3x - 1)
D. p(x) = (x - 2)(x + )(3x + 1)
Answer:
p(x) = ( x +2) (3x - 1) ( x-3)
Step-by-step explanation:
We know the equation for a polynomial with given zeros is
f(x) = a(x-b1) (x-b2)...... where b are the zeros and a is a constant
Since the zeros are x = -2, x = 1/3, and x =3.
p(x) = a( x - -2) (x - 1/3) ( x-3)
p(x) = a( x +2) (x - 1/3) ( x-3)
We can pick the value of a since we are not given a point on the function. Pick a=3
p(x) = 3( x +2) (x - 1/3) ( x-3)
Rewriting the second term
p(x) = ( x +2) (3x - 1) ( x-3)
