Final answer:
The range for the cost of the plumber's services, represented by the function f(x) = 50x + 25, starts at $25 and extends to infinity, as the number of hours worked can vary.
Explanation:
The question pertains to finding a possible range for the cost of a plumber's services, where the plumber charges a $25 service fee and $50 per hour. The total cost is represented by the linear function f(x) = 50x + 25, with x representing the number of hours worked. The range of this function would be all possible values that the total cost f(x) can take.
Since the number of hours x cannot be negative, the smallest value of x is 0, which would result in the minimum cost, the service fee of $25. Therefore, the range of f(x) starts at 25 and extends to infinity because there is no upper limit on the number of hours a plumber might work, theoretically. The range can be written as {f(x) | f(x) ≥ 25}, which means the set of all f(x) such that f(x) is greater than or equal to 25.
what’s the difference between an ark and a radius on a circle?
Answer:
Step-by-step explanation:
The arc of a circle is a portion of the circumference of a circle and the radius is a straight line from the center of a circle to the circumference of a circle.
Question 6
Name the image of F(-3, 1) after being translated along the vector <5. - 1>.
Answer:
F' (2, 0 )
Step-by-step explanation:
A translation < 5, - 1 > means add 5 to the x- coordinate and subtract 1 from the y- coordinate, that is
F(- 3, 1 ) → F'(- 3 + 5, 1 - 1 ) → F'(2, 0 )
The image of the point F(-3, 1) after being translated along the vector <5, -1> is (2, 0). The process involves adding the vector components to the original point's coordinates.
Explanation:The initial point on the coordinate system is F(-3, 1). A translation moves a point by a specific vector. This vector is <5, -1>, meaning we move the point 5 units to the right and 1 unit down.
To perform the translation, we add the components of the vector to the coordinates of the original point. So, we add 5 to the x-coordinate (-3) and -1 to the y coordinate (1). This gives us the following results:
x-coordinate: -3 + 5 = 2y-coordinate: 1-1 = 0So, the image of F(-3, 1) after being translated along the vector <5, - 1> is the point (2, 0).
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If ∠P measures 27°, q equals 6.0, and r equals 7.2, then which length can be found using the Law of Cosines?
using the Law of Cosines, we can find that the length of side ( p ) is approximately 3.29 units.
We can use the Law of Cosines to find the length of side ( p ) (opposite angle[tex]\( \angle P \))[/tex] when we know the lengths of the other two sides [tex]\( q \) and \( r \)[/tex] and the angle [tex]\( \angle P \)[/tex].
The Law of Cosines formula is:
[tex]\[ c^2 = a^2 + b^2 - 2ab \cos(C) \][/tex]
In this case, we want to find the length of side \( p \), so we'll use \( p \) as the side opposite angle \[tex]( \angle P \), \( q \) as side \( q \), and \( r \) as side \( r \)[/tex].
Substitute the given values into the Law of Cosines formula:
[tex]\[ p^2 = q^2 + r^2 - 2qr \cos(\angle P) \]\[ p^2 = (6.0)^2 + (7.2)^2 - 2(6.0)(7.2) \cos(27^\circ) \]\\[/tex]
Now, calculate the value of \( p \):
[tex]\[ p^2 = 36 + 51.84 - 86.4 \cos(27^\circ) \][/tex]
Using a calculator, find \( \cos(27^\circ) \approx 0.891 \):
[tex]\[ p^2 = 36 + 51.84 - 86.4 \times 0.891 \]\[ p^2 = 36 + 51.84 - 77.02 \]\[ p^2 = 10.82 \][/tex]
Take the square root of both sides to solve for \( p \):
[tex]\[ p = \sqrt{10.82} \approx 3.29 \][/tex]
So, using the Law of Cosines, we can find that the length of side ( p ) is approximately 3.29 units.
Where is (-4) located on the number line?
5y+1=1 subtract 1 from both sides
Answer:
5y
Step-by-step explanation:
All you have to do is subtract 1 from both side so subtract 1 from one side than the other. If you have to find out what y equals, then after subtracting, divide 5 from both sides and y would equal 5. Hope this helped
Answer:
1) If you want to solve the equation, x is 0/5 or 0
2) If you want to subtract 1, the answer is 5y = 0
Step-by-step explanation:
1) 5y + 1 = 1
5y = 0
2) 5y + 1 = 1 Subtract both sides by 1
5y = 0 Isolate the variable by dividing 5 on both sides
y = 0/5 or 0
You leave a 12% tip for a $25 meal. How much is the tip, in dollars?
Answer:
3 dollars
Step-by-step explanation: divide 25 by .12=3.00
Answer:
$3
Step-by-step explanation:
25 X 1.12 = 28 $28-$25= 3 dollar difference.
(0.12 is the decimal form of 12%)
What is the relationship between
the sine and cosine of complementary angles?
Explain your reasoning and use the relationship
to find cos 50 if sin 40 0.64.
Answer:
0.64
Step-by-step explanation:
Sine and cosine of angles are complimentary
This means
Sin x = Cos (90-x)
Cos x = sin (90 - x)
Therefore sin 40 = 0.64
Sin 40 = cos (90 - 40)
Sin 40 = cos 50
Cos 50 = 0.64
I hope this was helpful, please mark as brainliest
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Using the three indicated points on the given line and the concept of similar triangles, show and explain why the slope of the line is the same between any two of these three points. Calculate the slope of the line.
Answer:
Slope = 3/2 or 1.5
Step-by-step explanation:
(0,1) (2,4) (6,10)
Slopes:
(4-1)/(2-0) = 3/2
(10-4)/(6-2) = 6/4 = 3/2
(10-1)/(6-0) = 9/6 = 3/2
Any two points on the line will give the same slope because a straight line has a constant slope
Write an imequality” five times some number is less than 65”
Answer: 5x < 65
Step-by-step explanation: please give brainliest hope it helps and thankyou
Answer:
5x < 65
Step-by-step explanation:
Because 5*some number, you could use x. then the less than symbol means that 5x is less than 65
Fuel x costs $2 per gallon and fuel y costs $3 per gallon. You have at most $18 to spend on fuel. Write a system of linear inequalities to represent this situation.
(I did not mean to select one)
Answer:
First choice A : 2x +3y is less than or equal to 18. x greater than or equal to 0. y greater than or equal to 0.
If fuel x costs $2 per gallon, but Fuel y costs $3 per gallon. You may only spend up to $18 on petrol. The system of linear inequalities representing this situation is,2x+3y≤18,x≥0, and y≥0. Option A is correct.
What is inequality?A collection of two or more inequalities in one or more variables is known as a system of inequalities. When there are multiple constraints on a problem's potential solutions and a range of potential solutions are needed, systems of inequalities are used.
Given that, fuel x costs $2 per gallon, but Fuel y costs $3 per gallon. You may only spend up to $18 on petrol.
The maximum or minimum values of a situation with multiple constraints are frequently determined using a system of linear inequalities.
Thus, if fuel x costs $2 per gallon, but Fuel y costs $3 per gallon. You may only spend up to $18 on petrol. The system of linear inequalities representing this situation is,2x+3y≤18,x≥0, and y≥0. Option A is correct.
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Juan wants to start a lemonade stand to earn money.
He needs money to purchase the materials before he
can sell the lemonade and earn money. His mother
agrees to loan him $10. He makes a list of the items he
wants to buy.
Answer:
1. 13 2. 10
Step-by-step explanation:
What is the surface area, in square inches, of the container?
Answer:
62 inches
Step-by-step explanation:
The equation for line bis y = -2x + 3. Line c is the result of dilating line b by a factor
of 2 with center (0, -2). What is the equation for line c?
Answer:
[tex]y = - 2x + 8[/tex]
Step-by-step explanation:
The given equation is
[tex]y = - 2x + 3[/tex]
This is the equation of line b.
We want to find the equation of line c, after b is dilated by scale factor of 2 with center (0,-2).
Note that line c and b still have the same because they are parallel.
Also the y-intercept of b is 3.
The distance of the y-intercept of line b from the center of dilation is 5.
After a dilation by scale factor of 2, the y-intercept of c will be 2(5) =10 units from the center.
The y-intercept of c will therefore be:
10+-2=8
The equation c is
[tex]y = - 2x + 8[/tex]
(-3x^2+x^4+x)+(2x^4-7+4x)
1. Remove parentheses
-3x^2 + x^4 + x + 2x^4 - 7 + 4x
2. Collect like terms
-3x^2 + (x^4 + 2x^4) + (x + 4x) - 7
3. Simplify
-3x^2 + 3x^4 + 5x - 7
HELP ASAP
1yd 1 ft=_____ya
A 1 1/2
B 1 1/12
C 1 1/3
D 1 1/6
What is the diameter of a circle with an area of 100 pie square feet
Answer: diameter =20ft
Step-by-step explanation:
Which verbal expressions represents 4x - 10?
Answer:
four x minus ten
Step-by-step explanation:
4x = four x
-10 = minus ten
Answer:
Four times a number x minus 10
Between the time Iko woke up and lunchtime, the temperature rose by 11°. Then by the time he went to bed, the temperature dropped by 14°.
Write an addition expression for the temperature relative to when Iko woke up.
Answer: -3 degrees
Step-by-step explanation:
Lets say that the original temperature was "x."
The temperature rose by 11 degrees so it is now at 11+x.
Then the temperature fell by 14 degrees so you subtract. 11+x-14
11-14= -3 so you subtract 3 degrees from the original temperature and there fore the relative temperature is -3
I hope this helps!!!
How many different 4-digit personal identification numbers (PINs) can be made from the digit 0 through 9 if no digits repeat?
Answer:4960
Step-by-step explanation:
Answer:
Look below
Step-by-step explanation:
Searched it up.
66
What is the slope of the line with equation y-3=-1(x-2)?
Answer:
m = -1/2
Step-by-step explanation:
It moves right 2 and down 1.
Answer: slope is -1/2
Step-by-step explanation:
What are the different ways you can factor a quadratic expression?
A. Greatest Common Factor
B. Perfect Square Trinomial
C. Difference of Squares
D. Factor Quadratic Trinomials with Leading coefficient of 1
E. All of the above
Answer:E
Step-by-step explanation:
All of the above
Final answer:
The correct answer is E. All of the above.
There are several different ways to factor a quadratic expression.
Explanation:
There are several different ways to factor a quadratic expression:
Greatest Common Factor: Look for a common factor that can be factored out of all terms in the expression.Perfect Square Trinomial: If the expression can be written as the square of a binomial, it can be factored using this method.Difference of Squares: If the expression is in the form of a^2 - b^2, it can be factored using this method.Factor Quadratic Trinomials with Leading coefficient of 1: For expressions in the form of ax^2 + bx + c, where a is equal to 1, it can be factored using this method.Therefore, the correct answer is E. All of the above.
The floor of a rectangular room is to be tiled with 1/3 foot square tiles along a 9 3/8 foot wall. How many tiles will be needed along the wall?
Answer: Therefore, approximately 225/8 tiles will be needed along the 9 3/8 foot wall.
Step-by-step explanation:
To determine how many tiles will be needed along the 9 3/8 foot wall, we need to find the number of tiles that can fit in that space.
First, let's convert the mixed number 9 3/8 to an improper fraction. To do this, we multiply the whole number (9) by the denominator (8) and add the numerator (3):
9 * 8 + 3 = 75/8
Now, we have the length of the wall as 75/8 feet.
To find the number of tiles needed, we divide the length of the wall by the length of each tile. The length of each tile is 1/3 foot.
Dividing 75/8 by 1/3, we multiply the first fraction by the reciprocal of the second fraction:
(75/8) / (1/3) = (75/8) * (3/1)
Simplifying the calculation, we get:
(75 * 3) / (8 * 1) = 225/8
Therefore, approximately 225/8 tiles will be needed along the 9 3/8 foot wall.
To tile a 9 3/8 foot wall with 1/3 foot square tiles, 282 tiles are needed.
Explanation:The question is asking how many 1/3 foot square tiles will be needed along a 9 3/8 foot wall in your rectangular room. To find the answer, we first need to convert the length of the wall, which is given in mixed number, into an improper fraction. So, 9 3/8 is equal to 75/8 feet. Since each tile covers 1/3 foot, the number of tiles needed along the wall will be total distance divided by the length covered by each tile.
Therefore, the number of tiles = (75/8) ÷ (1/3) = (75/8) * (3/1) = 281.25
However, because we can't use a fraction of a tile, this number needs to be rounded up. Hence, you'll need 282 tiles to cover the 9 3/8 foot wall.
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What solid 3D object is produced by rotating the quarter-circle about line m
Answer:
hemisphere.
Step-by-step explanation:
it is a hemisphere with radius=5 units.
or hemisphere with diameter=10 units
Answer:
A semisphere (half sphere) with diameter 10 units
Step-by-step explanation:
A diver starts at the surface of the water and travels 8 feet to the bottom.
Graph A shows her distance from the bottom during the journey.
Graph B will show her distance from the surface during the journey.
Complete each statement about Graph B.
Answer:
On Graph B, at 0 seconds, the graph will be 0 or nothing.
Then the graph will increase until 2 seconds.
Answer:
On Graph B, at 0 seconds, the graph will be 0 or nothing.
Then the graph will increase until 2 seconds.
Step-by-step explanation:
what is the area of the smallest square?
The area of the smallest square is one quarter of the original square if its height and width are each half of the original.
Using geometrical shapes' proportional relationships, the area of a scaled-down square is calculated by squaring the factor by which the dimensions are reduced.
Explanation:The area of the smallest square can be determined by comparing it with the area of a larger square.
If the dimensions (height and width) of the smallest square are half that of the original square, then its area is a quarter (1/4) of the original square.
This is because area is a two-dimensional measurement, hence when both dimensions are halved, the area is reduced by a factor of 2×2, which equals 4.
For instance, if we consider a square with an area represented by T2, and we know that the smallest square has half the height and half the width, we can calculate its area as (1/2T)×(1/2T) = T2/4.
If the area of a larger square is 4 m2, halving the dimensions will lead to an area of 1 m2 for the smallest square.
This concept is applicable to any geometrical shape where the dimensions are reduced proportionally.
The scaling down of dimensions and the resulting area calculation is a key concept in understanding how areas of similar planar figures relate to each other.
estimate each quotient. show your work. 165÷4
Answer: 41 1/4
Step-by-step explanation: 160/4=40
5/4= 1 1/4
LIKE IF CORRECT
The number 8.375 x 10^-3 is equivalent to ____
Answer:
0.008375
Step-by-step explanation:
Answer:
hey
Step-by-step explanation:
8.375 can be written as
8375/1000
8375/ 10³
put in q
8375×10 power -3 × 10 power -3
8375× 10 power -6
0.008375
What is an equivalent fraction of 2
Answer:
[tex]\frac{2}{1}[/tex]
Step-by-step explanation:
[tex]\frac{2}{1} = 2[/tex]
If a fractions denominator is a one that means the fraction is equal to the numerators whole number in this case we have 2/1 since the denominator is a 1 that means the whole fraction is equal to 2 because the numerator is 2.
Hope this helps.
Operations with rational expressions
[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}[/tex]
Solution:
Given expression:
[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}[/tex]
To solve the given expression:
First simplify: [tex]\frac{50-2 w^{2}}{3 w^{2}+9 w-30}[/tex]
[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30}=-\frac{2(w+5)(w-5)}{3(w-2)(w+5)}[/tex]
Cancel the common factor (w + 5).
[tex]$=-\frac{2(w-5)}{3(w-2)}[/tex]
Now substitute this in the given expression.
[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{2(w-5)}{3(w-2)} \cdot \frac{w^{2}+5 w-14}{6 w-30}[/tex]
Multiply the fractions [tex]\frac{a}{b} \cdot \frac{c}{d}=\frac{a \cdot c}{b \cdot d}[/tex]
[tex]$=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{3(w-2)(6 w-30)}[/tex]
Factor the denominator [tex]3(w-2)(6 w-30) =18(w-2)(w-5)[/tex]
[tex]$=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{18(w-2)(w-5)}[/tex]
Cancel the common factor 2(w – 5).
[tex]$=-\frac{w^{2}+5 w-14}{9(w-2)}[/tex]
Factor the numerator [tex]w^{2}+5 w-14=(w-2)(w+7)[/tex]
[tex]$=-\frac{(w-2)(w+7)}{9(w-2)}[/tex]
Cancel the common factor (w – 2).
[tex]$=-\frac{w+7}{9}[/tex]
[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}[/tex]
Line A passes through points (10, 9) and (6, 2)
line B is parallel to line A . what is the slope of B ?
Answer:
7/4
Step-by-step explanation:
Parallel lines have the same slope, so all you have to do is find the slope of A.
The slope of A is (9-2)/(10-6) = 7/4
Answer:
7/4
Step-by-step explanation:
Have a nice day :)