solving the equation given to us first:
-5x/2 = 5/1 ( ignore the ≤ symbol for now and replace with =) and cross multiply
you will get
-5x = 10
x = -10/5 ( minus doesn't stay in denominator so so we take up to numerator )
x = -2
so x ≤ -2
NOTE: if we have ≤ we shade the dot but if we have just < or we don't shade the dot.
soooo
x ≤ -2 will be going backwards
so the answer is option (C).
Hope this helps.
Good luck.
Use combining like terms to simplify the expression: 7x+2−5x+4
Answer:
2x+6
Step-by-step explanation:
add the numbers:7x+6-5x
combine the like terms:7x+6-5x
2x+6
What are the vertices of AA'B'C'if AABC is dilated by a scale factor of 3?
Answer:
B
Step-by-step explanation: dilated means get bigger so (0,10) times 3 is (0,30) and (8,6) times 3 is (24,18) and (4,2) times 3 is (12,6)
pls mark me branliest
Answer: B
Step-by-step explanation:
it's very much correct :)
A doctor is using a treadmill to assess the strenght of a patient's heart. He sets the 48-inch long treadmil at an incline of 10⁰,how high is the end of the treadmill raised
The end of the 48-inch long treadmill is raised approximately 8.36 inches.
The incline of the treadmill is given as 10 degrees.
We can use trigonometry to calculate the height of the end of the treadmill.
The height (h) can be found using the formula h = l * sin(θ), where l is the length of the treadmill and θ is the angle of inclination.
Substitute the values into the formula:
h = 48 inches * sin(10 degrees)
Calculate the sine of 10 degrees using a calculator:
sin(10 degrees) ≈ 0.1736
Multiply the length of the treadmill by the sine of the angle:
h = 48 inches * 0.1736 ≈ 8.36 inches
The end of the 48-inch long treadmill is raised approximately 8.36 inches when set at an incline of 10 degrees.
To know more about angle of inclination, visit
https://brainly.com/question/31329503
#SPJ11
Rosa Boat is paddling upstream at 1.25 m/s relative to the water in a river which is flowing at 0.50 m/s
relative to the banks of the river. What is the resultant velocity of Rosa's boat (relative to the banks)?
Arithmetic sequence please help
10. a. The sequence is arithmetic as the difference between the next term and the previous term is constant.
b. The 200th term of the sequence is 1382.
c. 100 is not a member of the sequence.
11. a. u₁ is even and d is also even.
b. u₁ is odd and d is even.
What are arithmetic and geometric sequence?An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference
d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Given, u₁ = - 12 and uₙ₊₁ = uₙ + 7.
So,
u₂ = u₁₊₁ = - 12 + 7 = - 5.
Similarly, u₃ = - 5 + 7 = 2 and u₄ = 9.
So, The terms have a common difference o 7 and hence it is an arithmetic sequence.
We know, uₙ = u₁ + (n - 1)d.
Therefore, u₂₀₀ = u₁ + (200 -1)×7.
u₂₀₀ = - 12 + 199×7.
u₂₀₀ = - 12 + 1393.
u₂₀₀ = 1382.
Now, Determining whether 1000 is a member of the sequence.
Let, 1000 = - 12 + (n - 1)×7.
1012 = 7n - 7.
1019 = 7n, Here is not completely divisible hence 1000 is not a member of the sequence.
11. When all the terms of an AP is even the first term u₁ is even and the common difference would also be even and when all the terms of an AP are odd the first term u₁ would be odd and the common difference d would e even, as odd - odd = even.
learn more about arithmetic sequences here :
https://brainly.com/question/29616017
#SPJ1
Four friends went to dinner. They each ordered a meal and decided to split the final bill evenly between them. They left a tip of $12. The final cost of the meal and tip was $74.00. what was the price each person paid for their meal before tip?
AGAIN BE SERIOUS THIS IS DUE TOMORROW
Can someone please give me the (Answers) to this? ... please ...
I need help….
Answer:
I just did for your previous posting.
Solve the inequality. g + 6 > 5
Answer:
g > -1
Step-by-step explanation:
g + 6 > 5
You want g alone on the3 left side.
6 is being added to g, so subtract 6 from both sides of the inequality.
g + 6 - 6 > 5 - 6
g > -1
determine the slope given the two points. (-19,4) (17,11) PLEASE SHOW WORK
Answer:
m=7/36
Step-by-step explanation:
we need two points in order to find the ratio of the change in y and change in x, which is the slope
m=(y-y1)/(x-x1) (you can choose any point as y1 but be careful that you use the corresponding x1 value in the denominator)
m=(11-4)/(17-(-19))
m=7/36
What is the solution of this equation w+7=13
Answer:
6
Step-by-step explanation:
Answer:
w=6
Step-by-step explanation:
(backwards method)
13-7=6
so
w=6
PLEASE HELP! I WOULD TRULY APPRECIATE IT :(
When trying to find solutions to the system of equations
x+y=3
2x+2y = 6
you take several correct steps that lead to the expression 0=0.
Which statement is true?
A x=0 and y=0
B
The system has no solution.
The system has one solution, but we don't know what it is.
D
The system has infinitely many solutions.
Answer:
D
Step-by-step explanation:
Let me know if I was right :( don't be mean pls
please give me answer in 15 minutes .in this we have
to find ratios of the following data and better it ,purpose
,example and its answer
Ratios are comparative estimates of the quantity of one thing to another, and they're used to evaluate data and other numbers. A ratio is essentially a proportion of two amounts, and it can be computed using division. Ratios are used in a variety of fields, including finance, science, and engineering, to compare data and assess changes over time.
Ratios are comparative estimates of the quantity of one thing to another, and they're used to evaluate data and other numbers. A ratio is essentially a proportion of two amounts, and it can be computed using division. Ratios are used in a variety of fields, including finance, science, and engineering, to compare data and assess changes over time. They may also be used to forecast future results and make strategic decisions.
Ratios can be used to calculate stock prices, determine company performance, evaluate investment returns, and more.
Ratio = Part / Whole
For example, if a company has 50 employees, and 25 of them are female, the ratio of females to males would be 25:25, or 1:1. The numerator is the number of females, and the denominator is the total number of employees. Ratios can be expressed in a variety of ways, including as fractions, decimals, and percentages. The usefulness of ratios is that they allow us to compare data in a meaningful way. They can reveal trends and patterns in data that might not be visible otherwise.
Ratios can be useful in a variety of applications. In finance, for example, ratios can be used to evaluate a company's profitability, liquidity, and efficiency. In science, ratios can be used to measure the concentration of a solution or the strength of a magnetic field. In engineering, ratios can be used to evaluate the strength of materials or the efficiency of a machine.In conclusion, finding ratios of given data is an essential aspect of various fields. Ratios allow us to compare data in a meaningful way and can reveal trends and patterns that may not be visible otherwise. They can be used in finance, science, and engineering to evaluate performance, efficiency, and much more.
To know more about finance visit:
https://brainly.com/question/30502952
#SPJ11
Describe the main parts of a proof.
(stolen)
The most common form of explicit proof in highschool geometry is a two column proof consists of five parts: the given, the proposition, the statement column, the reason column, and the diagram (if one is given).
Answer:
Proofs contain given information and a statement to be proven. You use deductive reasoning to create an argument with justification of steps using theorems, postulates, and definitions. Then you arrive at a conclusion.
Step-by-step explanation:
EDGE 2020
during a business trip, an individual stopped at two rest stops. at the first rest stop, he counted 15 cars and 20 trucks. at the second rest stop, he counted 17 cars and 22 trucks. at which rest stop did the individual count a higher ratio of cars to trucks?
The individual counted a higher ratio of cars to trucks at the second rest stop, since 17/22 was larger than 3/4.
At the first rest stop, the ratio of cars to trucks was 15:20 or 3:4. At the second rest stop, the ratio of cars to trucks was 17:22 or 17/22. Since 17/22 is larger than 3/4, the individual counted a higher ratio of cars to trucks at the second rest stop. To illustrate this using formulas, we can divide the number of cars by the number of trucks at each rest stop. This gives us 15/20 = 0.75 for the first rest stop and 17/22 = 0.77 for the second rest stop. Since 0.77 is greater than 0.75, the individual counted a higher ratio of cars to trucks at the second rest stop.
At the second rest stop, the individual counted a higher ratio of cars to trucks.The individual counted a higher ratio of cars to trucks at the second rest stop, since 17/22 was larger than 3/4.
Learn more about trucks here:
https://brainly.com/question/28340594?
#SPJ4
PLS HELP PLS ITS TIMES ILL GIVEBRAINLIEST IF CORRECT HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!
Answer:
B. Freedom of the press
Step-by-step explanation:
The freedom of the press is the principle that communication and expression through media like printed and electronic media should be considered a right to be exercised freely.
In your problem, they are confiscating this media and violating this right.
- El resultado de la conversión de 350 km/h a m/s es:
A. 1.26x10 m/s
B. 1260 m/s
C. 97.22 m/s
Answer:
350 kilómetros por hora son 97,2222 metros por segundo ;)
The result of converting 350 km/h to meter per second is 97.22 m/s.
To convert from kilometers per hour (km/h) to meters per second (m/s), you need to apply the conversion factor.
The conversion factor for this conversion is 1 km/h = 0.2778 m/s.
To convert 350 km/h to m/s, multiply 350 by the conversion factor:
350 km/h×0.2778 m/s
= 97.22 m/s
Therefore, the result of converting 350 km/h to m/s is approximately 97.22 m/s.
To learn more on Conversion factor click:
https://brainly.com/question/30567263
#SPJ6
cody was 165 cm 165cm165, start text, c, m, end text tall on the first day of school this year, which was 10 % 10, percent taller than he was on the first day of school last year. how tall was cody on the first day of school last year? cm cm
If Cody was 10 %, percent taller than he was on the first day of school last year then he was 150 cm tall on the first day of school last year.
To find out the height of Cody on the first day of school last year, we need to perform a calculation as follows:
Let's say their height of Cody on the first day of school last year is 'x'.
His height of Cody on the first day of school this year is 165 cm.
Cody is 10% taller than he was on the first day of school last year, so:
165 = x + (10% of x)
Simplifying this equation will give
165 = x + 0.1 x 165
= 1.1xx
= 150
Therefore, Cody was 150 cm tall on the first day of school last year.
To learn more about Height change with year visit: https://brainly.com/question/11456211
#SPJ11
Complete the Square and write in Vertex Form: f(x) = x^2 + 6x + 5
Answer:
no cap -check ur test thingy i got the answer from yahoo asks its x^2+6x+5
Step-by-step explanation:
How many paths are there from A to B if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through B as long as you end up at the point B).
The number of paths passing from A to B if we pass through the edge at most once is 3.
How to find the number of paths from A to B?Since we have that paths from A to B in the shape of triangles, we desire to find the number of paths from a to B if we travel along the edges at most once.
Now,
The first path is passing through the top triangular edges from point A to BThe second path is passing through the middle edge from A to B.The third path is pasing through the bottom edges from A to B.So, we see that there are 3 paths passing from A to B if we pass through the edge at most once.
Thus, there are 3 paths passing from A to B if we pass through the edge at most once.
Learn more about number of paths here:
https://brainly.com/question/28161278
#SPJ1
solve the literal equation for y
4x+1=9+4y show steps please i am confused
The solution to the literal equation is y = x - 2.
What is the solution to inequality?To solve inequality in y, we need a number such that the assertion holds if we replace y with that number. Isolating the variable on one side of the inequality and leaving the other terms constant is the first step in resolving the inequality.
From the given information:
4x + 1 = 9 + 4y
To solve for y, we have to switch the sides:
9 + 4y = 4x + 1
Subtract 9 from both sides
9 - 9 + 4y = 4x + 1 - 9
4y = 4x - 8
Divide both sides by 4
\(\dfrac{4y}{4}= \dfrac{4x}{4}-\dfrac{8}{4}\)
y = x - 2
Learn more about inequality here:
https://brainly.com/question/24372553
#SPJ1
Which statement describes the relationship between the intercepts of functions a and b?
OA.
The x-intercept of bis equal to the x-intercept of a.
OB.
The x-intercept of bis greater than the x-intercept of a.
O C.
The y-intercept of bis equal to the y-intercept of a.
OD. The y-intercept of b is less than the y-intercept of a.
Answer:
C. The y-intercept of b is equal to the y-intercept of a.
Step-by-step explanation:
The statement describes the relationship between the intercepts of functions a and b is the y-intercept of b is equal to the y-intercept of a.
We have given that,
The graph
We have to determine,
The statement describes the relationship between the intercepts of functions a and b.
What is the meaning of the intercept?The meaning of intercept is to stop, seize, or interrupt in progress or course or before arrival.
Therefore from the graph, the correct statement is C that is
The y-intercept of b is equal to the y-intercept of a.
To learn more about the intercept visit:
https://brainly.com/question/1884491
#SPJ2
Solve the simultaneous equation.
The value of a = -2 and b = 3.
What is a system of equations?
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
Here, we have
Given: 3a - 5b = -26, a + 2b = 6
We have to solve this equation.
3a - 5b = -26...(1)
a + 2b = 6...(2)
Now we multiply equation (1) by 2 and equation (2) by 5 and we get
6a - 10b = -52....(3)
5a + 10b = 30....(4)
After solving equations (3) and (4), we get
11a = -22
a = -2
Now we put the value of 'a' in equation(3) and we get
6(-2) - 10b = -52
-10b = -52 + 12
-10b = -30
b = 3
Hence, the value of a = -2 and b = 3.
To learn more about the system of equations from the given link
https://brainly.com/question/25976025
#SPJ1
To get system B, the
equation in system A was replaced by the sum of that equation and
times the
equation. The solution to system B
the same as the solution to system A.
The solution is :
To get to system B the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 4. The solution to system B is the same as the solution to system A.
Here, we have,
A system of equations and it’s solution are given below.
System A.
x-y=3
-2x+4y=-2
Solution: (5,2)
Complete the sentences to explain what steps were followed to option the system of equations below.
System B
x-y=3
2x=10
To get to system B the (first/second) equation in system A was replaced by the sum of that equation and the (first/second) equation multiplied by (4....2.....-3) . The solution to system B (is/ is not) the same as the solution to system A.
Solution:
To get system B:
First write the first equation in system A. x - y = 3
Multiply the second equation in system A by 4 and add to the first equation in system A to get:
2x = 10
x = 10/2 = 5
Put x = 5 in x - y = 3
5 - y = 3
y = 5 - 3 =2
The solution to system B is the sam as that of system A
To get to system B the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 4. The solution to system B is the same as the solution to system A.
To learn more on equation click:
brainly.com/question/24169758
#SPJ1
need a quick answer please
Answer:
x= 3
Step-by-step explanation:
12x-12x= 2x 1+5=6
2x=6
x=3
Answer: x=3
Step-by-step explanation:
(10x+1)=(12x-5) (you make them equal because they are vertical)
-2x+1=-5
-2x=-6
x=3
I'm not really sure but I tried, sorry.
How long will it take to fill a cylinder-shaped vat (with a radius of 32.5 ft and depth of 33.9 ft) with a certain liquid (d = 1.77 g/mL) if it is spilling out of the hose at 12,757.9 g/s? a. 1.23×102hr
b. 1.53×10−7hr
c. 1.08×108 hr
d. 1.98 hr
e.6.65×109hr
Answer:A 1.23 x 102hr
Step-by-step explanation:
It will take 1.23 x 10^2 hours to fill a cylinder-shaped vat.
What is the volume of the cylinder?
A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².
The volume of the cylinder-shaped vat can be calculated as follows:
V = π * r^2 * h
= π * 32.5^2 * 33.9 ft^3
The mass of the liquid in the vat can be calculated as the product of its volume and density:
m = d * V
= 1.77 g/mL * π * 32.5^2 * 33.9 ft^3
The time it takes to fill the vat can be calculated as the ratio of the mass of the liquid to the rate at which it is spilling out of the hose:
t = m / (12,757.9 g/s)
Converting the volume to liters, the density to kg/m^3, and the time to hours, the answer is approximately 1.23 x 10^2 hours.
Hence, it will take 1.23 x 10^2 hours to fill a cylinder-shaped vat.
To learn more about the volume of the cylinder visit,
https://brainly.com/question/9554871
#SPJ4
polynomial for the area of the square x7x
The polynomial for the area of the square is A(x) = x^2
Writing the polynomial for the area of the squareFrom the question, we have the following parameters that can be used in our computation:
Shape = square
Side length = x
The area of the square is
Area = Side length^2
Substitute the known values in the above equation, so, we have the following representation
Area = x^2
Express as a function
A(x) = x^2
Hence, the function is A(x) = x^2
Read more about polynomial at
https://brainly.com/question/7693326
#SPJ1
Problem-6: Derive the output C(s), error E(s), and actuator M(s) equations for the diagram in the figure, and obtain the characteristic polynomial. |D(s) R(s) + E(s) F(s) K 4 M(s)+ 3s+ 1 6 C(s) 15s + 2
The characteristic polynomial is 0, which implies that the system is not stable.
To derive the equations for the diagram shown in the figure, let's analyze each component:
Input: R(s)
Feedback signal: C(s)
Error: E(s)
Actuator: M(s)
Plant transfer function: G(s)
Disturbance input: D(s)
Controller transfer function: F(s)
Output: Y(s)
Based on the diagram, we can write the equations:
Error equation:
E(s) = R(s) - C(s)
Actuator equation:
M(s) = K * E(s)
Plant equation:
Y(s) = G(s) * M(s)
Output equation:
C(s) = Y(s) + D(s)
Now, let's substitute the corresponding expressions from the given equation:
C(s) = 15s + 2
M(s) = 4 * C(s) + 3s + 1
Substituting M(s) into the output equation:
C(s) = G(s) * (4 * C(s) + 3s + 1) + D(s)
Simplifying the equation:
C(s) = 4 * G(s) * C(s) + 3 * G(s) * s + G(s) + D(s)
Rearranging the equation:
C(s) - 4 * G(s) * C(s) = 3 * G(s) * s + G(s) + D(s)
Factoring out C(s):
C(s) * (1 - 4 * G(s)) = 3 * G(s) * s + G(s) + D(s)
Dividing both sides by (1 - 4 * G(s)):
C(s) = (3 * G(s) * s + G(s) + D(s)) / (1 - 4 * G(s))
Therefore, the equation for C(s) is:
C(s) = (3 * G(s) * s + G(s) + D(s)) / (1 - 4 * G(s))
The characteristic polynomial can be obtained by setting the denominator equal to zero:
1 - 4 * G(s) = 0
Solving for G(s):
4 * G(s) = 1
G(s) = 1/4
Therefore, the characteristic polynomial is:
1 - 4 * (1/4) = 0
Simplifying:
1 - 1 = 0
The characteristic polynomial is 0, which implies that the system is not stable.
The complete question is:
Derive the output C(s), error E(s), and actuator M(s) equations for the diagram in the figure, and obtain the characteristic polynomial.
For more about Control Systems:
https://brainly.com/question/29680941
#SPJ4
(4y - 15) 7y + x = 180
a standing wave is set up in a pool 24 m long which contains six loops. what is the wavelength? a) 24 m b) 48 m c) 8 m d) 4 m
Two length of the same frequency and amplitude moving in opposite directions combine to form a standing wave, which appears to be stationary. Given that the pool in this instance is 24 m long and has six loops, the wavelength is 4 m.
Wavelength = Length of Pool / Number of Loops
24 m / 6 loops
= 4 m
Wavelength
= 4 m
Two waves of the same frequency and amplitude moving in opposite directions combine to form a standing wave, which appears to be stationary. A stationary wave pattern is produced when the two waves collide and interfere with one another. Six loops make up the 24 m-long pool in this instance. As a result, the standing wave's wavelength is equal to the pool's length divided by the number of loops, or 24 m / 6 = 4 m. This indicates that the standing wave's wavelength is 4 metres. Standing waves can be used to determine a wave's speed because they are equal to wavelength times frequency. Understanding how waves behave in various contexts, such as swimming pools, oceans, or other bodies of water, can be helped by this.
Learn more about length here
https://brainly.com/question/13194650
#SPJ4
COMPLETE
Fill in the numbers resulting from the indicated operation:
2 -1
7
-4
BED
3 4 5 5
-1 2 1 -1
DONE
R2 R3
←
2
hp
-1
-4
The indicated operation R₂ ↔ R₃ for the given matrix results as,
R₁ : 2 -1 -4 | 7
R₂ : -1 2 1 | -1
R₃ : 3 4 5 | 5
Given a system matrix.
There are three rows,
R₁ : 2 -1 -4 | 7
R₂ : 3 4 5 | 5
R₃ : -1 2 1 | -1
Here, the operation is R₂ ↔ R₃, that is, R₂ and R₃ has been interchanged.
So the elements in R₂ goes to R₃ and elements in R₃ goes to R₂.
So the matrix becomes,
R₁ : 2 -1 -4 | 7
R₂ : -1 2 1 | -1
R₃ : 3 4 5 | 5
Learn more about Operations of matrix here :
https://brainly.com/question/23012744
#SPJ1