Answer:
Step-by-step explanation:
the cost difference between the first truck and the second truck = $160,000-$145,000 = $15,000
the difference of gas cost between the first truck and the second truck = $0.31 - $0.26= $0.05 per mile.
so,
I think, this is a very significant number of truck cost compared with gas cost
for the best deal, the first truck is the best choice.
Hope this answer helps you :)
Have a great day
Mark brainliest
Answer:
buy truck 2 since it cheaper
, if u do it in a graph after they intersect usee that truck num 1 increases while truck num 2 decreases
Step-by-step explanation:
1.
First Truck: Y = 0.31x + 145,000
Second Truck: Y = 0.27x + 160,000
2.
Y = 0.31x + 145,000
Y = 0.27x + 160,000
- 0.31x + y = 145,000
- 0.27x + y = 160,000
- 0.31x + y = 145000
0.27x – y = -160000
- 0.04 = -15000
X=375000
- 0.31 x 375000 + y =145000
Y = 261250
(x , y) = (375000 , 261250)
Which of the following represents the ratio of the hypotenuse to the given
side?
A. 2:1
B. 1:2
C. 1:√2
D. √2:1
Answer: Choice D) [tex]\sqrt{2}:1[/tex]
Explanation:
The diagram shows the hypotenuse is [tex]6\sqrt{2}[/tex] units long and the leg is 6 units long. This forms the ratio [tex]6\sqrt{2}:6[/tex] where the hypotenuse is listed first. This is because it's mentioned first in the instructions (when compared to the other side 6).
We then divide both parts of the ratio [tex]6\sqrt{2}:6[/tex] by 6 to end up with the final answer [tex]\sqrt{2}:1[/tex]. This ratio says "the hypotenuse is exactly [tex]\sqrt{2}[/tex] times that of the leg length". This only applies to 45-45-90 triangles.
Option D is correct, √2 : 1 represents the ratio of the hypotenuse to the given side.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle is a right triangle.
6√2 is the hypotenuse of the triangle.
We have to find the ratio of the hypotenuse to the given side.
Let the adjacent side length is 6.
The ratio is hypotenuse by the side length
6√2/6
The 6 on numerator and denominator will be cancelled.
√2/1
Hence, √2 : 1 represents the ratio of the hypotenuse to the given side.
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Find the common difference of the arithmetic sequence
Answer:
The common difference is 1/5.
Step-by-step explanation:
Each new term is equal to the previous term, plus the common difference 1/5.
-2 + 1/5 = -10/5 + 1/5 = -9/5 = -1 4/5, and so on.
Answer:
Step-by-step explanation:
[tex]c.d.=-1\frac{4}{5} -(-2)\\=-\frac{9}{5} +2\\=\frac{-9+10}{5} \\=\frac{1}{5}[/tex]
Can someone please take a screenshot of this problem and send it. I could really use the help.
Answer:
5/12
Step-by-step explanation:
2/3 - 1/4
Get a common denominator of 12
2/3 *4/4 = 8/12
1/4 *3/3 = 3/12
8/12 - 3/12
5/12
Answer:
5 twelfth
Step-by-step explanation:
jajajajsjdjhueieiejdndnndnejejsnsndbbbenejeje
Help please!!!!!!!!!!!
Answer:
i think your answer is 8.
What is the absolute value of -6
Answer:
6.
Step-by-step explanation:
The absolute value is defined as the distance from a number to 0 , and so it is always positive. So, the absolute value of −6 will be the distance from −6 to 0 on the number line, and it is 6.
source: https://socratic.org/questions/whats-the-absolute-value-of-6
i hope this helps!
Answer:
6
Step-by-step explanation:
Absolute value of -6 = 6
Absolute value refers to only the distance from the origin and not the direction. So, always it is positive
State the domain, the range, and the intervals on which function is increasing decreasing, or constant in interval notation. State the domain and range using interval notation.
Answer:
[tex]Domain = (-\infty, \infty)[/tex]
[tex]Range = (-\infty, 4][/tex]
Increasing interval is: [tex](-\infty, 0)[/tex]
Decreasing interval is: [tex](0, \infty)[/tex]
Constant at no interval
Step-by-step explanation:
Given
See attachment for graph
Solving (a): The domain
From, the attached graph, we have:
[tex]y = -x^2 + 4[/tex]
The degree of the polynomial (i.e 2) is even.
Hence, the domain is the set of all real numbers, i.e.
[tex]Domain = (-\infty, \infty)[/tex]
Solving (b): The range
The curve of [tex]y = -x^2 + 4[/tex] opens downward, and the maximum is:
[tex]y_{max} = 4[/tex]
This means that the minimum is:
[tex]y_{mi n} = -\infty[/tex]
Hence, the range of the set is:
[tex]Range = (-\infty, 4][/tex]
Solving (c): Interval where the function increases/decreases/constant
In (a), we have:
[tex]Domain = (-\infty, \infty)[/tex]
Split to 2 (at vertex x = 0)
[tex](-\infty, 0)[/tex] and [tex](0, \infty)[/tex]
So:
The increasing interval is: [tex](-\infty, 0)[/tex]
The decreasing interval is: [tex](0, \infty)[/tex]
The function has a tangent at [tex]x = 0[/tex] but at no interval, was the function constant
Help Pls. Find the radius of Circle Q.
The radius of the given circle is 13 unit.
What is a chord of a circle?
The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.
What is radius of a circle?A radius is a measure of distance from the center of any circular object to its outermost edge or boundary.
What is Pythagoras theorem?Pythagoras theorem states that "the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides".
According to the given question
We have a circle with center Q and two chords AD and BC.
And, AD = 4x + 4 and BC = 6x -6
Since, both the chords are at the same distance from the center of the circle, so their lengths will same.
⇒ AD = BC
⇒ 4x + 4 = 6x -6
⇒ 4 + 6 = 6x -4x
⇒ 10 = 2x
⇒ x = 5
Therefore,
AD = 4x + 4 = 4(5) + 4 = 20 +4 =24
and, BC = 6x - 6 = 6(5) - 6 = 30 -6 = 24
Also, AP = AD/2 = 24/2 = 12
Now, in right angle triangle QPA we have
[tex]AQ^{2} =QP^{2} +AP^{2}[/tex] ( By Pythagoras theorem)
⇒ [tex]AQ^{2} = 5^{2} +12^{2}[/tex]
⇒[tex]AQ^{2} = 25 + 144[/tex]
⇒[tex]AQ^{2} = 169[/tex]
⇒[tex]AQ =\sqrt{169}[/tex]
⇒ AQ = 13
Hence, the radius of the given circle is 13 unit.
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Which statement describes the following expression? 7 x (2,304 x 681)
Answer:
7 times the value of 2,304 times 681
Step-by-step explanation:
✨
Answer:
it is a
Step-by-step explanation:
hope it helps
The angle of elevation of a car to the top of a tree is 60°. If the height of the tree is 34 feet, find the distance between the car and the tree rounded to the nearest whole number.
Answer:
17 feet
Step-by-step explanation:
cos = adj/hyp
cos60 = adj/34
34 * cos60 = adj
adj = 17
is this correct please tell me sooner then later thank you
In short, all you need to do is change "diameter" to "radius" in question 2. Other than that, you're perfect.
Use the distributive property and combine like terms to write an equivalent expression: 5(3x + 2) - 8(x +1)
Answer:
7x + 8
Step-by-step explanation:
15x + 10 - 8x + 8
combine like terms
7x + 8
Balr's new computer costs less than twice the cost of her old computer. Her new computer cost $709. How much did Blair's old computer cost?
Answer:
$357
Step-by-step explanation:
Work out the value of x y z
Give your answer as a fraction in its simplest form.
Answer:
9/20
Step-by-step explanation:
1/3*3/5*(2*1/4)
1/3*3/5*9/4
(1*3*9)/(3*5*4)=27/60 = 9/20
Read the following and then answer the question
What's for Lunch2
Marcia Amidon Lusted
Zachary Maxwell was tired of trying to explain to his parents why he wanted to bring lunch to school
instead of eating hot lunch. They couldn't understand why he didn't want to eat the gourmet food
described on the school's online menu, which sounded both nutritious and interesting. Zachary just
couldn't convince them that the food wasn't as great as it sounded. So in the fall of 2011, he began
sneaking a small video camera into the cafeteria at his school, to show his parents what the lunches
were really like. Six months and 75 school lunches later, Zachary made a documentary film about his
lunch called Yuck A 4th Grader's Short Documentary About School Lunch
Did the student who made this film provide an objective opinion? Did that affect the quality of the film?
please help!! i have no clue what to do and this packet is due tonight.
Answer:
[C] 27
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Expand by FOILFactoringCalculus
Limits
Derivatives
Definition of a Derivative: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \lim_{h \to 0} \frac{f(3 + h) - f(3)}{h}[/tex]
[tex]\displaystyle f(x) = x^3[/tex]
Step 2: Solve
Substitute in function value: [tex]\displaystyle \lim_{h \to 0} \frac{(3 + h)^3 - 3^3}{h}[/tex]Evaluate exponents: [tex]\displaystyle \lim_{h \to 0} \frac{(3 + h)^3 - 27}{h}[/tex]Expand: [tex]\displaystyle \lim_{h \to 0} \frac{h^3 + 9h^2 + 27h + 27 - 27}{h}[/tex][Subtraction] Combine like terms: [tex]\displaystyle \lim_{h \to 0} \frac{h^3 + 9h^2 + 27h}{h}[/tex]Factor: [tex]\displaystyle \lim_{h \to 0} \frac{h(h^2 + 9h + 27)}{h}[/tex]Simplify: [tex]\displaystyle \lim_{h \to 0} h^2 + 9h + 27[/tex]Evaluate limit: [tex]\displaystyle 0^2 + 9(0) + 27[/tex]Evaluate exponents: [tex]\displaystyle 9(0) + 27[/tex]Multiply: [tex]\displaystyle 27[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
What is the point of intersection when the system of equations below is graphed on the coordinate plane?
-x+y=4
6x+y=-3
A. (1, -3)
B. (-1,3)
C. (1,3)
D. (-1, -3)
Answer:(-1,3)B
Step-by-step explanation:
just graph on desmos
PLEASE HELP!
NEED ANSWERS FOR A,C,D,E,F
Help needed on this question too!!!!
Answer:
1) OTT
2) PGF
3) RBT
4) YGT
5) 24 different ways.. I just counted the total number of combinations.
6) 1/24 since there are 24 different outcomes and PBF is just one.
PLEASE HELP I NEED ANSWER
Answer:
The area of the figure is 61.24 cm
Step-by-step explanation:
The area for the parallelogram is determined by base x height, so 7 x 6 = 42.
The area of a circle is [tex]\pi[/tex]r², with r being the radius, so that means the circle area is 38.48, but because its a semicircle, its half of that, so the area is 19.24.
42 + 19.24 = 61.24
Danny is measuring rainfalll.For a.Science project in september 7/8 inch of rain fell in october 2 1/4 invhes of rain fell how much. More rain fell in october than september
Answer: [tex]1\dfrac{3}{8}\ \text{inch}[/tex]
Step-by-step explanation:
Given
Rainfall in September is [tex]\frac{7}{8}[/tex] inch
Rainfall in October is [tex]2\frac{1}{4}[/tex] inch
Convert mixed fraction into fraction
[tex]\Rightarrow 2\dfrac{1}{4}=\dfrac{9}{4}\ \text{inch}[/tex]
Difference between the two gives that how much more rain fall in October compared to September
[tex]\Rightarrow \dfrac{9}{4}-\dfrac{7}{8}\\\\\Rightarrow \dfrac{18-7}{8}\\\\\Rightarrow \dfrac{11}{8}\ \text{inch or}\\\\\Rightarrow 1\dfrac{3}{8}\ \text{inch}[/tex]
4. A rental car agency charges a fee of $25 plus $0.20 for every mile driven. Write a function rule to determine the cost of renting a car.
a. What is the cost of driving a rental car 150 miles?
b. If I have $145, how far many miles can I drive the rental car?
Besties help please
Answer:
a. $25 + ($0.20 × 150) = $25 + $30 = $55
b. $145 ÷ $0.20 = 725 miles
Brooke and lamont ran a half marathon. Brooke finished in 1 hour 50 minutes, lamont finished in 100 minute. Who had the faster time
Given:
Brooke and Lamont ran a half marathon. Brooke finished in 1 hour 50 minutes, Lamont finished in 100 minute.
To find:
Who had the faster time?
Solution:
We know that,
1 hour = 60 minutes
Time taken by Brooke = 1 hour 50 minutes
= 60 minutes + 50 minutes
= 110 minutes
Time taken by Lamont = 100 minutes.
Since the time taken by Lamont is less than the Brooke, therefore Lamont had the faster time.
Someone help dont scam or you get report. :)
Answer:
Hi there!
The correct answer should be: $2.99 per kilogram!
Step-by-step explanation:
17.94 ÷ 6 = 2.99
F(x) = -x² + 7x - 12
One factor of this is (x - 4). Find the other factor.
Answer:
(3-x) is the other factor.
Step-by-step explanation:
The given function is :
[tex]F(x)=-x^{2}+7x-12[/tex]
One of the factor is (x-4)
We need to find the other factor.
It can be solved as follows :
[tex]F(x)=-x^{2}+4x+3x-12\\\\=(-x+3)(x-4)[/tex]
So, the other factor is (3-x).
if the dimention of a right rectangular prism are 7cm,9cm and 3cm then find the total surface area,its volume and the length of it diagonals
Answer:
√139
Step-by-step explanation:
a = 2(7*9+7*3+9*3) = 222 v = 7*9*3 = 189 d = √(7^2+9^2+3^2) = √139
RAMS SALARY IS 20% MORE THAN MOHAN'S. IF MOHAN'S SALARY IS Rs. 200 THEN WHAT IS THE SALARY OF RAM?
a. Rs.180
b. Rs.240
c. Rs.220
d. Rs.320
Step-by-step explanation:
RAMS SALARY=RS.200×20%
=40+200
=RS.240.00
ANSWER IS OPTION B
What is 3.055 rounded to the nearest hundredth
Answer:
3.06
Step-by-step explanation:
3 is in the ones place, then theres the decimal, the tenths place, and the hundredths place. When rounding, you must make the number larger when its 5 or over. So the answer is 3.06
Answer:
3.055 rounded to the nearest hundredth = 3.06
Calculate cos0 to two decimal places.
PLEASEE HELPP BRAINLIEST IF CORREXT
Imee has captured many three-toed tree toads. She weighs each one and
then counts the number of yellow spots on its back. Which trend line best fits
the data?
Answer:
A
Step-by-step explanation:
Some photos look cut off but from what I can see the trend line in graph A fits the best since the line is the correct slope and captures the most data points out of all the answers.
Graph (A) shows the best fit of the line because it has a positive slope and the line is very close to the dots, option (A) is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}[/tex]
[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have a dot plot shown in the picture.
As we can see in the given picture, the values of independent and dependent variables increase, which means the slope of the line should be positive.
In graph (A) the line of the best fit is very close to the dots and best describes the data.
Thus, graph (A) shows the best fit of the line because it has a positive slope and the line is very close to the dots option (A) is correct.
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The equation of a circle is x2 + y2 + 6y = 7. What are the coordinates of the center and the length of the radius of the circle? O A. center (0, -3) and radius 16 O B. center (0, -3) and radius 4 C. center (0, 3) and radius 4 O D. center (0, 3) and radius 16 STEM ++ 32:36
Answer:
c=(0,–3) , R= 4
choose (B)
