Divide total amount used by the amount in the rate:
27,000 / 750 = 36
Multiply that number by the rate:
36 x 1.98 = 71.28
The bill is $71.28
What is the measure of the acute angle formed by the lines 3x–5y=–15 and 4x+2y=7?
Answer:
85.6 degrees.
Step-by-step explanation:
The given equations of lines are
[tex]3x-5y=-15[/tex]
[tex]4x+2y=7[/tex]
We need to find the measure of the acute angle formed by these lines.
[tex]Slope=\dfrac{-\text{Coefficient of }x}{\text{Coefficient of }y}[/tex]
Slope of given lines are
[tex]m_1=\dfrac{-3}{-5}=\dfrac{3}{5}[/tex]
[tex]m_2=\dfrac{-4}{2}=-2[/tex]
Angle between two lines is
[tex]\tan \theta = \left|\dfrac{m_1-m_2}{1+m_1m_2}\right|[/tex]
[tex]\tan \theta = \left|\dfrac{\dfrac{3}{5}-(-2)}{1+\dfrac{3}{5}(-2)}\right|[/tex]
[tex]\tan \theta = \left|\dfrac{\dfrac{3+10}{5}}{\dfrac{5-6}{5}}\right|[/tex]
[tex]\tan \theta = \left|\dfrac{13}{1}\right|[/tex]
[tex]\tan \theta = 13[/tex]
[tex]\theta = \tan^{-1}(13)[/tex]
[tex]\theta \approx 85.6^{\circ}<90^{\circ}[/tex]
Therefore, the acute angle between given lines is 85.6 degrees.
hello!! So I’m in 5th grade (middle school in my state :]) and I have a question.
what is 5 x 23 x 2 ? Please help! I didn’t understand anything in the mah lesson today and I’m behind.
if you can help that’d be a help!
also please tell me how the answer was gotten!
5 x 23 x 2
Answer:230
Step-by-step explanation:
5 x 23= 115
115 x 2= 230
The amounts of paper waste generated in a region during two years were 41,300,000 tons and 50,500,000 tons. What was the total paper waste generated over these two years in the region, expressed in scientific notation?
91.8 ⋅ 107 tons
91.8 ⋅ 1014 tons
9.18 ⋅ 1014 tons
9.18 ⋅ 107 tons
Answer: [tex]9.18 x 10[/tex]⁷[tex]tons[/tex]
Step-by-step explanation:
Given: The amounts of paper waste generated in a region during two years were 41,300,000 tons and 50,500,000 tons.
Then, the total paper waste generated over these two years in the region :-
[tex]41,300,000 + 50,500,000 = 91,800,000[/tex]
In scientific notation,
[tex]91,800,800 = 9.18 x 10[/tex]⁷
Hence, the total paper waste generated over these two years in the region =
[tex]9.18 x 10[/tex]⁷ [tex]tons[/tex]
I hope this answer helps you out. Brainliest would be appreciated. Have a nice day :D
Math Question (10 Points):
Answer:
x-axis
Step-by-step explanation:
Answer:
It is the x-axis
Step-by-step explanation:
In a graph, the horizontal part of it is called the x axis.
Here is an definition: horizontal axis of a system of coordinates, points along which have a value of zero for all other coordinates
The function f is defined by f(x) = (x + 3)(x + 1).
The graph of f in the xy-plane is a parabola. Which
of the following intervals contains the x-coordinate
of the vertex of the graph of f?
Answer:
Below in bold.
Step-by-step explanation:
The zeroes ( = x-intercepts) are x = -3 and x = -1.
So the x -coordinate of the vertex is between x = -3 and x = -1.
The actual x-coordinate is halfway between these value: at x = -2.
Answer:
x = -3 or x = -1
Step-by-step explanation:
f(x) = (x + 3)(x + 1)
⇒ x = -3 or x = -1
Can someone help me with this? Does it mean cup or is it a typo? Also I need help with the answer.
Answer:
Yes it really does mean cup.
Step-by-step explanation:
This can only contian 1 jar
12.5 cups are equal to 100 ounces
if there are 100 oz in that little jar then only 1 large jar can be filled by a lttile jar.
Fill in the blanks.
(image attached)
Answer:
Add 14 to each side to undo the -14. Divide both sides by 6 to undo the 6x, and simplify to get 5.
Step-by-step explanation:
Carly is traveling to visit family. She drives x miles on the first day and y miles on the second day for a total of 800 miles. What are the domain and range of this relationship?
Answer:
The domain and range of this relationship is (-∞,∞) and (-∞,∞) respectively.
Step-by-step explanation:
We are given that Carly is traveling to visit family.
She drive distance on first day = x
She drive distance on second day = y
We are also given that Carly is travelling a total of 800 miles.
So,x+y=800
We are supposed to find domain and range of this relationship.
y=800-x
Domain : (-∞,∞)
Range:(-∞,∞)
Hence the domain and range of this relationship is (-∞,∞) and (-∞,∞) respectively.
Answer:
domain: 0 ≤ x ≤ 800
range: 0 ≤ y ≤ 800
Step-by-step explanation:
factorise pls answer will mark u the brainliest
Answer:
3m(1-2m)(1+2m+4m^2)
Step-by-step explanation:
Answer:
3m(1-2m)(4m²+2m+1)
Step-by-step explanation:
3m - 24m⁴ (factorize 3m)
=3m(1) - 3m(8m³)
= 3m (1-8m³)
=3m (1³ - 2³·m³)
=3m [ 1³ - (2m)³ ]
recall the cubic formula:
a³ + b³ = (a+b)(a² - ab + b²)
if we apply this to [ 1³ - (2m)³ ], we will eventually get
= 3m(1-2m)(4m²+2m+1)
edit: last step got cut off. fixed
edit 2: by request, i added more detail to the last 2 steps
HELP! QUICK!
What is the equation for the parabola with focus (2,7) and directrix y = -2?
Answer:
1/18(x-2)^2+45/18=y
Step-by-step explanation:
(x-2)^2+(y-7)^2=(y+2)^2
(x-2)^2+y^2-14y+49=y^2+4y+4
(x-2)^2-14y+49=4y+4
(x-2)^2+45=18y
1/18(x-2)^2+45/18=y
Math Question (10 Points):
Answer:
Step-by-step explanation:
We need the two numbers to tell us where the point is on the coordinate plane. The first number tells us where it is on the x-axis, and the second number tells us where it is on the y-axis. The very middle of the coordinate plane is the point (0, 0)
Based on this the answer is horizontol plane and x coordinate
Please help! Dad will murder me if I don't have this done by the time he gets home! 100 points for whoever solves this!
Answer:
3(4)to the 3
Step-by-step explanation:
Please help me with this!!!
Answer:
(f•g)(2)=3 and (g•f)(6)=7
Step-by-step explanation:
look at the tables
where x is equal to both 2 and 7 is where you will find your answer
Hope this helps you!
Express each of the following fractions as percentages
12/25
solution for class 7
[tex]\\ \sf\longmapsto \dfrac{12}{25}\times 100[/tex]
[tex]\\ \sf\longmapsto \dfrac{12\times 100}{25}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1200}{25}[/tex]
[tex]\\ \sf\longmapsto 48\℅[/tex]
Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was at sea level after 30 minutes of driving. Graph the relationship between Amir's altitude relative to sea level (in meters) and time (in minutes).
Answer:
Graph these two points: (0, 360), (30, 0)
Step-by-step explanation:
Since Amir drove for 30 minutes at a rate of 12 meters, that means that he started at an elevation of 360 feet. The easiest way to graph this, is to place one dot at (0, 360), and at (30, 0).
The straight line joining the points (0, 360) and (30, 0) will be the graph.
What is the equation of a straight line? What do you mean by domain and range of a linear function?The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}
(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}
x/a + y/b = 1 {intercept form}
x cos(β) + y sin(β) = L {Normal form}
For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
We have Amir who drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was at sea level after 30 minutes of driving.
We can write the equation of graph as -
y = - 12t + 360
At t = 0 -
y = 0 + 360
y = 360
and
at t = 30 minutes -
y = - 12 x 30 + 360
y = - 360 + 360
y = 0
The straight line joining the points (0, 360) and (30, 0) will be the graph.
Therefore, the straight line joining the points (0, 360) and (30, 0) will be the graph.
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
#SPJ2
Find the measure of of RA. A. 24 B. 2 C. 12 D. 3
Answer: 24
Step-by-step explanation:
R= 3
You can find this using simple algebra
The measure of RA is 24 units after using the concept of congruent triangle option (A) 24 is correct.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
We have a triangle shown in the picture.
It is required to find the measure of the RA
To find the measure of the RA we can apply the concept of congruent triangle:
In the triangle LRU and triangle LAU
LU = LU (common side)
LR = LA (equal sides)
Angle RLU = Angle ALU (equal)
The triangles are congruent.
RU = UA
18 - 2r = 4r
6r = 18
r = 18/6 = 3
The measure of the RA = 18 - 2r + 4r = 18 + 2r
The measure of the RA = 18 + 2(3) = 18+6 = 24 units
Thus, the measure of RA is 24 units after using the concept of congruent triangle option (A) 24 is correct.
Learn more about the congruent triangle here:
brainly.com/question/12413243
#SPJ2
Identify the domain of a radical function with an odd index. Question 1 options: A) 0 < x < ∞ B) –∞ < x < ∞ C) 0 ≤ x < ∞ D) –∞ < x ≤ 0
Simplify (−3c3w5)3. −9c6w8 −9c9w15 −27c6w8 −27c9w15
Answer:-9c3w5-36c6w8-36c9w15
Answer:
-27c⁹w¹⁵ the last choice
Step-by-step explanation:
Simplifying:
(−3c³w⁵)³= ⇒ each factor gets same power- 3³(c³)³(w⁵)³ = ⇒ power of power = product of powers- 27c⁹w¹⁵ ⇒ correct answer choice is the last oneWhat is the probability of rolling a number less than three on a six-sided die?
Answer: The probability would be 1/3.
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
Only '1' and '2' are less than '3' on a 6-sided die.
Thus, only 2 out of 6 outcomes are of interest.
The probability of rolling a number less than three on a six-sided die is therefore 1/3.
Which of the following statements is true for a function with equation Ax) = 5(3)*?
The graph has y-intercept (0,5) and increases with a constant ratio of 3.
The graph has y-intercept (0, 3) and decreases with a constant ratio of 3.
The graph has y-intercept (0, 3) and increases with a constant ratio of 5.
The graph has y-intercept (0,5) and decreases with a constant ratio of 3.
Answer:
Hey there!
The graph has a y-intercept of (0,5), and increases with a common ratio of 5. (For example, it increases from 3, 15, 75, and the common ratio is 5.
Hope this helps :)
A formula to find the period, T, of cyclic phenomena based on the frequency, F is T= 1/F
Solve the formula for F in terms of T
Answer:
F = 1/T
Step-by-step explanation:
In order to solve for F, you would need to isolate F.
(F)T = 1/F (F) --> multiply F on both sides to cancel out the F on the right side
FT/(T) = 1/(T) --> divide T on both sides to cancel out the T on the left, so the F is isolated
F = 1/T
Hope this helps!
Answer:
F = 1/T
Step-by-step explanation:
T= 1/F
USING CROSS MULTIPLICATION TECHNIQE
T(F) = 1
DIVIDE BOTH SIDES BY T
F = 1/(T)
Which statements are true based on the diagram? Check all that apply.
Points A, B, and D are on both planes.
Point H is not on plane R.
Plane P contains point F.
Points C, D, and A are noncollinear.
The line containing points F and G is on plane R.
The line containing points F and H is on plane R.
Answer:
The answer to this is a, b, d, e
Step-by-step explanation:
Answer:
A, B, D, E
Step-by-step explanation:
What is the distance between point A and point B? A) 4 units B) 3 units C) 5 units D) 3.5 units
Answer:
C) Distance =5 units
Step-by-step explanation:
[tex]x_1=1\\y_1=1\\x_2 =5\\y_2 = 4\\\\d = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 } \\\\d = \sqrt{(5-1)^2+(4-1)^2} \\\\d = \sqrt{(4)^2+(3)^2}\\ \\d = \sqrt{16+9}\\ d = \sqrt{25}\\ \\d = 5[/tex]
Using the formula for the distance between two points, it is found that the distance between points A and B is given by:
C) 5 units.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this problem, the points are A(1,1) and B(5,4), hence:
[tex]D = \sqrt{(5-1)^2+(4-1)^2} = \sqrt{25} = 5[/tex]
Hence option C is correct.
More can be learned about the distance between two points at https://brainly.com/question/18345417
#SPJ2
The graph shows the first 5 terms of the arithmetic sequence, an.
Which is the 6th term of the sequence?
A.)3
B.)6
C.)9
D.)12
E.)18
Answer:
D) 12
Step-by-step explanation:
the graphs slope is 3 using the rise over run method we have found this
now since we know the fifth x value gives a y value of 9 we can add 3 and have 12
(5.3.4 journal: describing distributions) Looking at the box plots, do you agree or disagree with each team's conjecture? Explain your reasoning(3 points: 1 point for each row of the chart)
help me out with this plzz 20 points and also brainlest my question in the attachment below thank you :)
Answer:
486 ft²
Step-by-step explanation:
If the cube volume is 729 ft³, then the length of one side is
∛(729 ft³) = 9 ft.
The cube (like all cubes) has 6 identical sides, each 9 ft by 9 ft, or 81 ft².
Label each side with '81 ft²'
Since there are 6 such sides, the total surface area is 6(81 ft²) = 486 ft²
helpyffhvjvjnvhdfuguig
Answer:
x = 0, x = 4
Step-by-step explanation:
12x - 21 = 5x + 7(x - 3)
First, foil out the right side --> 5x² - 15x + 7x - 21, which simplifies down to 5x² - 8x - 21.
Move the 12x - 21 to the right side by subtracting --> 0 = 5x² - 20x.
Factor out a 5x --> 0 = 5x(x - 4)
If you want to solve for x, set 5x = 0 and x - 4 = 0.
For 5x = 0, divide both sides by 5 to isolate the x --> x = 0/5, which simplifies down to x = 0.
For x - 4 = 0, add 4 to both sides to isolate the x --> x = 0 + 4, which simplifies down to x = 4.
Plug the values back into the original equation to check if it works
12(0) -21 = 5(0) + 7((0) - 3) --> -21 = -21
12(4) - 21 = 5(4) + 7((4) -3) --> 27 = 27
Hope this helps!
Jemma has 24 balls. Out of the 24 balls, 12 are yellow, 4 are pink, and the rest are red. What is the ratio of the number of red balls to the number of balls that are either yellow or pink? arrowRight
Answer:
1 :2
Step-by-step explanation:
12 are yellow, 4 are pink
To find the number of red
24 -12 -4 = 8
There are 8 red balls
We want the ratio of
red: yellow or pink
8 : 12+4
8 :16
Divide each side by 8
8/8 : 16/8
1 :2
Answer:1:2
Step-by-step explanation: 12 yellow + 4 pink= 16
24 balls total minus 16 =8 red balls so 8:16=1:2
Help please all questions.
Answer:
A is A=25
B=10
B is 40
C is A=10
B=6.428
hope i helped you
sorry if it is incorrect
SOLVE OR SIMPLIFY THIS!! -6-(2x+7)=-2(x+6)-1
[tex]\\ \sf\longmapsto -6-(2x+7)=-2(x+6)-1[/tex]
[tex]\\ \sf\longmapsto -6-2x-7=-2x-12-1[/tex]
[tex]\\ \sf\longmapsto -2x-13=-2x-13[/tex]
[tex]\\ \sf\longmapsto 2x-2x=0[/tex]
[tex]\\ \sf\longmapsto 0[/tex]
Answer:
Step-by-step explanation:
(2x + 7) = - 2(x + 6) - 1
2x + 7 = - 2x + 12 - 1
2x - 2x = 12 - 7 - 1
0x = 4
= 4