Mathematics College

What is the domain of the function log(x-4) +4?

Answers

Answer 1
[tex]\log(x-4)+4\\\\\text{the domain:}\\\\x-4 > 0\ \ \ |+4\\\\x > 4\to x\in(4;\ \infty)[/tex]
Answer 2
the log of 0 is not defined, so the criterion to use here is that the input to the log function must be greater than zero.  

Thus, x-4 ≥ 0, or x ≥ 4 (answer)

Related Questions

hey can you please help me posted picture of question

Answers

so here in the picture only y line changes ( for first line it's 0 for the second one is -5.) so answer is C
Hey there :)

We are told that F(x) = x³

We can see that G(x) is 5 points below F(x)

Therefore, we can conclude that [tex]\boxed {G(x) \ = \ x^3 \ - \ 5 \ ( \ Option \ C \ ) }[/tex]

A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x + 2) cm. Which expression represents the volume of the pyramid? cm3 cm3 cm3 cm3

Answers

The answer is option A, V=(x^3+2x^2)/3.

we know that

the volume of a solid oblique pyramid is equal to

[tex]V=\frac{1}{3}*B*h[/tex]

where

B is the area of the base

h is the height of the pyramid

in this problem we have that

B is a square

[tex]B=b^{2}[/tex]

where

[tex]b=x\ cm[/tex]

so

[tex]B=x^{2}\ cm^{2}[/tex]

[tex]h=(x+2)\ cm[/tex]

substitute in the formula of volume

[tex]V=\frac{1}{3}*x^{2}*(x+2)\\ \\V=\frac{1}{3}*[x^{3} +2x^{2}]\ cm^{3}[/tex]

therefore

the answer is

[tex]V=\frac{1}{3}*[x^{3} +2x^{2}]\ cm^{3}[/tex]

Carlos read 4 books. How many children read fewer books. Than carlos?

Answers

Where the above pictogram is given, note that the number of children who read fewer books than Carlos are two in number. Namely:

Gwen - Two booksHenry - Four books.

To derive the number of children who read fewer books than Carlos, we only need to count the number of people whose books are less than four.

Using the picture graph key, we know that:

Ryan read 4 books

Gwen = 2

Anna = 6

Henry = 3

Since 2 and 3 are less than 4 which was read by Carlos, then the number of children who read fewer books than Carlos are two in number.

Full Question:

Although part of your question is missing, you might be referring to this full question:

Read Picture Graphs

Use the picture graph above. Write or draw to explain.

4. Carlos read 4 books. How many children read fewer books than Carlos?

_  children ?

Q # 6 find the measure please

Answers

Angle AEB and angle BEC are supplementary angles, which means that they sum is 180°. knowing this we can subtract the measure of angle BEC from 180° to get the measure of angle AEB:
angle AEB=180°-127°=53°

We can conclude that the measure of angle AEB is 53°
Hello!

Angles AEB and BEC are examples of supplementary angles. Supplementary angles are two angles whose measures add to a sum of 180 degrees. This can be represented using the following formula:

A1 + A2 = 180

In this case, the formula can be rewritten to state the following:

∠AEB + ∠BEC = 180

Insert any values given in the problem above:

∠AEB + 127 = 180

Now subtract 127 from both sides of the equation:

∠AEB = 53

We have now proven that ∠AEB has a measure of 53 degrees.

I hope this helps!

If two cylinders are similar and the ratio between the lengths of their edges is 2:5 what is the ratio of their volumes

Answers

we know that
[scale factor] is equal to the ratio between the lengths of their edges
so
scale factor=2/5

volume smaller cylinder/volume larger cylinder=[scale factor]³
volume smaller cylinder/volume larger cylinder=[2/5]³---> 8/125

the answer is
8/125

Answer: Thou answer shalt be Le letter B. 8:125




Experts/ace/geniuses helppp

Answers

Asked and answered elsewhere.
https://brainly.com/question/9954996

hey can you please help me posted picture of question

Answers

A relation can be a function if an x value is not paired with more than y-values.
The x and y values are flipped when finding an inverse.

So, if in the inverse function a y value is paired with more than one x values, this will mean that in the function an x-value was paired with more than one y-values.

Looking at the graph we can say that no y-value in the inverse is paired with more than one x values, so the original relation would be a function.

So the answer is TRUE

ASAP
The equation of the linear regression line represents the relationship between the number of cars washed for charity, x, and the amount earned for charity, y. yˆ=10x+20 How much money can the charity expect to earn if 50 cars come in for a wash?

Answers

The given regression shows the relationship between the numbers of car washed(x) and the amount earned for charity(y).

y = 10x + 20

We are to calculate the amount of charity if 50 cars are washed. Number of cars are represented by x, so by substituting x = 50 in above equation we can find the amount of charity that is earned by washing 50 cars.

y = 10(50) + 20 = $ 520

Thus, the charity can earn $520 if 50 cars come in for a wash.

Equation of the Graph in Function Notation 

Answers

The function looks like it goes through the points (0, 0), (1, 1), (4, 2), so may be a square root function. It seems to have undefined slope at x=0, as a square root function does.

[tex]f(x)=\sqrt{x}[/tex]

The mean of a normal distribution is 12.3 with the standard deviation is 1.7. find the 73th percentile

Answers

the best answer for this would be 5

Keiko cut away 2.57 meters of rope. Before that, she had 4 meters of rope. How much rope does Keiko have left?

Answers

Final answer:

Keiko has 1.43 meters of rope left after cutting away 2.57 meters from her 4-meter rope. This is found by subtracting the length of rope she cut away from the initial length of the rope.

Explanation:

The question asks how much rope Keiko has left after cutting away 2.57 meters from a 4 meter rope. To find the answer, we can perform a simple subtraction operation: 4 meters (initial length of rope) - 2.57 meters (length of rope cut away). The result of this calculation should give us the length of rope that Keiko has left.

So, let's perform the calculation:

4 meters - 2.57 meters = 1.43 meters

Therefore, Keiko has 1.43 meters of rope left after cutting away 2.57 meters from her 4 meter rope.

Learn more about Subtraction

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Find the surface area of regular prism with height 6 cm, if the base of the prism is a Regular quadrilateral with side 4 cm.

Answers

A "regular quadrilateral" is a square, so the length and width are both 4 cm. The surface area of a rectangular prism is given by
  S = 2(LW +H(L +W))
  S = 2((4 cm)*(4 cm) +(6 cm)*(4 cm +4 cm))
  S = 2(16 cm² +48 cm²)
  S = 2*64 cm² = 128 cm²

The surface area of the prism is 128 cm².


An axiom in Euclidean geometry states that in space, there are at least points that do

Answers

Hello!

In the Euclidean geometry all theorems are obtained from several axioms. One of these axioms is that there are three points on any line. The axiom postulates the following: "To draw a straight line from any point to any point." . According to these there are 2 points, and in order to have a line one more point must be between them. 
I hope this helps! Have a bless day!

An axiom in Euclidean geometry states that in space, there are 2 points that lie on the same line.

This is called the two-point postulate. According to Euclidean geometry, in space, there are at least two points, and through these points, there exists exactly one line. This means that there is only one single line that could pass between any two points. This is a mathematical truth. It is known as an axiom because an axiom refers to a principle that is accepted as a truth without the need for proof.

Find the work done by the force field f in moving an object from a to
b. f(x, y) = 2y3/2 i + 3x y j a(1, 1), b(3, 9)

Answers

Final answer:

Work done by a force field in moving an object from a to b is calculated using the line integral of the vector field. For the force field F(x, y) = 2y3/2i + 3xyj and the points a(1, 1) and b(3, 9), we consider a path from a to b, compute the line integral separately for each segment, and sum the results.

Explanation:

In physics and vector calculus, the work done by a force field (like the one in your question) in moving an object from a to b is calculated using the line integral of the vector field along the path taken. For your specific question where the force field is given by F(x, y) = 2y3/2i + 3xyj with the object moving from a(1, 1) to b(3, 9), the work done is computed as follows:

Select a path from point a to b. This can be a straight path, but any path from a to b will do. Let's take a simple path, where we move along the x-axis from (1,1) to (3,1), then parallel to the y-axis to (3,9).Calculate the line integral separately for each segment of the path. Since we are dealing with a vector field in two dimensions and two straightforward paths, this is done by integrating the force fields for x and y along each segment.Sum the results to get the total work done by the force field in moving the object from point a to point b.

Learn more about Work Done by Force Field here:

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Bianca and Dave are a married couple filing a joint tax return. They have a combined gross income of $81,031 and claim four exemptions. They can make an adjustment of $2,914 for business expenses, an adjustment of $1,939 for business losses, a deduction of $4,140 for medical expenses, an adjustment of $4,825 for contributions to their retirement fund, and a deduction of $2,420 for charitable donations. If exemptions are worth $3,650 apiece and the standard deduction for a joint return is $8,350, what is their total taxable income?
a.
$50,193
b.
$41,843
c.
$48,403
d.
$52,793

Answers

Answer:

C

Step-by-step explanation:

Gross income(81,031) - adjustments(9,678) - exemptions(3,650•4 = 14,600) - STANDARD deduction(8,350)

$81,031 - $2,914 - $1,939 - $4,825 - $14,600 - $8350 = $48,403

itemized deductions = $6,560 which is less than the Standard deduction of $8,350, so you would use the Standard deduction

The total taxable income is b. $41,843..

To find Bianca and Dave's taxable income, we'll follow these steps:

Calculate the Total Exemptions:
They have 4 exemptions worth $3,650 each.
Total exemptions = 4 × $3,650 = $14,600.

Calculate Adjustments and Deductions:  

Business Expenses: $2,914  Business Losses: $1,939  Medical Expenses: $4,140  Retirement Contributions: $4,825  Charitable Donations: $2,420

Total adjustments and deductions = $2,914 + $1,939 + $4,140 + $4,825 + $2,420 = $16,228.

Determine the Standard Deduction:
For married filing jointly, the standard deduction is $8,350.

Calculate Adjusted Gross Income (AGI):
AGI = Combined Gross Income - Adjustments
AGI = $81,031 - (Business Expenses + Business Losses + Retirement Contributions)
AGI = $81,031 - ($2,914 + $1,939 + $4,825) = $81,031 - $9,678 = $71,353.

Calculate Total Deductions:
In this case, we will take the higher of the total adjustments/deductions calculated or the standard deduction.
Total official deductions = max(Total adjustments and deductions, Standard Deduction)
Total deductions = max($16,228, $8,350) = $16,228.

Calculate Taxable Income:
Taxable Income = AGI - Total Deductions - Total Exemptions
Taxable Income = $71,353 - $16,228 - $14,600
Taxable Income = $71,353 - $30,828 = $40,525.

Which reason explains the congruency of these two triangles?
A)AAA
B)HL
C)SAS
D)SSS

Answers

These triangles are congruent by the hypotenuse-leg theorem, which states that if the hypotenuse and a leg of two right triangles are congruent, the triangles are congruent.

Answer:
B) HL

Side note: There is not such thing as AAA congruence. (:

The lengths of the base of a trapezoid is 12ft and 5ft the height is 96 in what is the area of the trapezoid

Answers

The formula for the area of a trapezoid is
  A = (1/2)(b₁ +b₂)h

Substitute the given information and evaluate. (Make sure all dimensions have the same units.)
  A = (1/2)(12 ft +5 ft)(8 ft)
  A = 68 ft²

The area of the trapezoid is 68 square feet.

Answer:

the area is 816

Step-by-step explanation:

Step-by-step

12 + 5 = 17

17 / 2 = 8.5

8.5 * 96 = 816

the area is 816

Try this please, it's about arcs and angles and I'm just not sure how to do it. Thanks!

Answers

check the picture below.

the segment LOJ is a diameter, and therefore the arcLCJ made by that diameter will have a central angle of 180°.

that simply means that the arcLC is 180 - 94, or 86°.

the ∡LJC is an inscribed angle that is intercepting the arcLC, and therefore, by the inscribed angle theorem, it'll be half of arcLC.

Judy squeezes 140 mm of lemonade to make 1 liter of lemonade how many millimeters of lemon juice are in 2 L of lemonade

Answers

280 mm of lemon juice will equal to 2 L of lemonade

Determine the measure of an angle (in radians) that cuts off an arc length of 6.4 inches in a circle with a 6.4 inch radius.

Answers

1 radian
because s= r × angle measurement in radian
we have s= arc , r = radian so we got the value

PLEASE Help!! What is the solution of the equation? Eliminate any extraneous solutions.

Answers

D. -4

sq rt of 3x+28-8=x
add 8 to both sides

sq rt of 3x+28 = x+8
square both sides of the equation

3x + 28 = x^2 + 16x + 64

subtract x^2+16x+64 from both sides
group common terms
-13x-36-x^2=0

rearrange and put in quadratic form

x= -13 +/- sq rt of 13^2-4(1)(36) over 2(1)

subtract 169 by 144

x= -12 +/- sq rt of 25 over 2

solve for both sides

x = -13+5 over 2
=-4

x= -13-5 over 2
= -9

now plug in x

sq rt of 3(-4)+28   -8=-4
sq rt of 3(-9)+28    -8= -9

-4 = -4
but
-7 does not = -9

so -4 is the solution

show me step by step how to convert a repeating decimal 3.152 into a improper fraction or mixed number

Answers

Step 1. Count the number of repeating digits.
Step 2. Multiply the number by 10 to that power.
Step 3. From that product, subtract the original number.
Step 4. Divide the result by 1 less than the multiplier of Step 2.
Step 5, Reduce the fraction.

For your number [tex]3. \overline{152}[/tex]
Step 1. There are 3 repeating digits
Step 2. The multiplier is [tex]10^{3}=1000[/tex]. The multiplied number is
  [tex]1000 \cdot 3. \overline{152}=3152. \overline{152}[/tex]
Step 3. Subtract the original number
  [tex]3152. \overline{152}-3. \overline{152}=3149[/tex]
Step 4. Divide by 1000 - 1 = 999
  [tex]\dfrac{3149}{999}=3 \frac{152}{999}[/tex]
This fraction does not reduce, so you are done.

Find the solutions for a triangle with a =11.4, b =13.7, and c =12.2.

Answers

The solutions for the triangle are:   ∠A = 51.833...° , ∠B = 70.880...° and ∠C = 57.286...°

Explanation

For finding the unknown angles, we need to use Cosine rule. The formulas are...

[tex]cos A = \frac{b^2+c^2-a^2}{2bc} \\ \\ cos B= \frac{a^2+c^2-b^2}{2ac}\\ \\ cos C= \frac{a^2+b^2-c^2}{2ab}[/tex]

Given that the length of three sides of the triangle as : [tex]a= 11.4, b= 13.7[/tex] and [tex]c=12.2[/tex]

Thus,

[tex]cosA= \frac{(13.7)^2+(12.2)^2 -(11.4)^2}{2(13.7)(12.2)} \\ \\ cosA= \frac{206.57}{334.28} \\ \\ cosA= 0.61795... \\ \\ A= cos^-^1 (0.61795...)= 51.833... degree\\ \\ \\ \\  cos B= \frac{(11.4)^2+(12.2)^2 -(13.7)^2}{2(11.4)(12.2)}\\ \\ cos B= \frac{91.11}{278.16} \\ \\ cos B= 0.3275...\\ \\ B= cos^-^1 (0.3275...)= 70.880... degree \\ \\ \\ \\ cos C= \frac{(11.4)^2+(13.7)^2 -(12.2)^2}{2(11.4)(13.7)}\\ \\ cos C= \frac{168.81}{312.36} \\ \\ cos C= 0.54043...\\ \\ C= cos^-^1 (0.54043...)= 57.286... degree[/tex]

Answer

To simplify the answer above this one, it is

C) A=51.8 B=70.9 C=57.3

Step-by-step explanation:

I got it right on edge

y = |x| translated half a unit to the left

Answers

Answer:|

y=|x+.5|

Step-by-step explanation:

I found my answer by drawing a graph and then moving 2 spaces left then you need to do absolute values

you also need to plot some points on the graph to see where there is a straight line

I hope this helps

what is .44 of 1 please help me stat

Answers

Um 44 +1 is 45 yw and thx

What is the answer to the problem i am very confused...

Answers

The time of takeoff of this hovercraft would be 0 seconds, as if you were starting a timer. So, if you plug in 0 for x (unit for seconds) in your equation, it will look like this:

h(0) = -3(0 - 3)² + 108
Parenthesis first
h(0) = -3(-3)² + 108
Exponents next
h(0) = -3(9) + 108
Multiplication
h(0) = -27 + 108
Combine like terms

h(0) = 81: The height of the hovercraft at the time of takeoff is 81 meters!
Hope this helps :)

My son is trying to figure out how to decompose 8/12 and what he has to work with is x/2 + x/2 =8/12

Answers

x/2 + x/2 = 2x / 2 or just x. So x = 8/12 which can be simplified by their greatest common factor of 4. Divide both top and bottom by 4. This gives you x = 2/3. 

Your answer for that equation is x = 2/3

Not sure what you mean by "decompose" though. 

A cake has circumference of 25 1/7inches. What is the area of the cake? Use 22/7 to approximate π. Round to the nearest hundredth. Enter your answer in the box.

Answers

we know that
area of the circle=pi*r²

circumference==2*pi*r----------> r=circumference/(2*pi)
circumference=25 1/7 in----> (25*7+1)/7----> 176/7 in
r=(176/7)/(2*22/7)----> r=176/44----> r=4 in

area of the circle is equal to the area of the cake
area=pi*r²---> (22/7)*4²-----> area=50.29 in²

the answer is
50.29 in²

Final answer:

To find the area of a cake given its circumference, calculate the radius and plug it into the area formula A = πr². Finally, round to the nearest hundredth to get the area value.

Explanation:

To find the area of a circle, you use the formula A = πr², where r is the radius of the circle. Given the circumference of the cake is 25 1/7 inches, we can calculate the radius as r = Circumference / (2π) = 25 1/7 / (2 x 22/7) = 25 1/7 / (44/7) = 25 1/7 / 6.2857 ≈ 3.99 inches.

Now, substitute the radius into the area formula: A = 3.14 x (3.99)² ≈ 50.03 square inches. Therefore, the area of the cake is approximately 50.03 square inches.

Osman broke the unusually shaped picture window and his parents living room. The figure shows the dimensions of the window. replacement glass cost $8 per square foot, and there will be a $35 installation fee. Find the cost to replace the window to the nearest cent.

Answers

Final answer:

Osman can calculate the cost to replace the unusually shaped picture window by determining its area and then using the formula C = (Area of the window × $8) + $35 to find the total cost. The final total should be rounded to the nearest cent. However, without the window's dimensions, an exact cost cannot be calculated.

Explanation:

To calculate the cost to replace the unusually shaped picture window in Osman's parents' living room, we must first determine the area of the window to find out how many square feet of glass are needed. Once we have the area, we can multiply by the cost per square foot and add the installation fee. Unfortunately, the question does not provide the necessary dimensions of the window, so we cannot proceed with the exact calculations. However, I will provide a general formula that Osman could use to calculate the replacement cost.

Let's assume that the dimensions of the window are provided and that we have managed to calculate the area, A, in square feet. The cost of the replacement glass will then be A × $8. After calculating this, Osman would need to add the installation fee, which is $35. So the total cost to replace the window, C, would be calculated using the formula:

C = (A × $8) + $35

Once Osman replaces the window, if the total calculated cost is not a whole number, he should round it to the nearest cent.

hey can you please help me posted picture of question

Answers

The correct answer  for the exercise shown in the figure attached is the first option (Option A), which is:

 A. y=(x-2)^2-4

 1. As you can see in the figure attached, the red parabola has the function f(x)=x^2. This is the patern function.  By definition, which is the most basic function of the quadratics functions.

 2. The blue parabola is shifted 2 units at x axis and 4 units in the -y axis. Therefore, the correct function that represents this parabola is the function of the option A.

 3. If you want to verify it, you can give values to x and plot each point on a graph.
 
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