Answer:
The answer to the equation -7x + 2 > -2x - 13 is \(x < 3\).
Step-by-step explanation:
How can we solve this problem?\(-7x+2 > -2x-13\)
\(-7x+2-2 > -2x-13-2\)
\(-7x > -2x-15\)
\(-7x+2x > -2x+2x-15\)
\(-5x > -15\)
Multiply by -1 to reverse the inequality.
\(-5x(-1) < -15(-1)\)
\(5x < 15\)
\(\frac{5x}{5} < \frac{15}{5}\)
\(x < 3\)
A remote-controlled model airplane has a mass of 1.57 kg. It is traveling forward, parallel to the ground. Its initial velocity is 0.45m / s , and its final velocity is 1.12m / s after two minutes . What force was required to produce this acceleration?
Force required to produce the acceleration 7.85 x 10^-3kgm/s^2
What is Force ?
According to physics, a force is an effect that has the power to change an object's motion. A force can cause a massed object to accelerate or change its velocity. A push or a pull is a straightforward way to explain force. Since a force has both magnitude and direction, it is a vector quantity.
Given that
Mass of the airplane = 1.57kg
Initial velocity (u)= 0.45 m/s
Final velocity (v)= 1.12 m/s
Since we know,
Force = mass x acceleration
So, to find out the force we need to find out the acceleration of the object first
Since,
Acceleration(a) = v - u / t
where,
v = final velocity
u = initial velocity
t = time
Putting the values we get
a = 1.12 - 0.45 / 2 x 60
a = 0.67 / 120
a = 0.005m/s^2
Now, that we know the Acceleration we can find force
mass = 1.57 kg
acceleration = 0.005 m/s^2 or 5 x 10^-3
F = m x a
F = 1.57 x 5 x 10^-3
F = 7.85 x 10^-3kgm/s^2
Hence, 7.85 x 10^-3kgm/s^2 Force is required to produce the acceleration
To know more about Force click on the link
https://brainly.com/question/12970081
#SPJ10
Tinaya worked 44.5 hours last week. If she is paid
$11.25 an hour, what was her total pay for the week? |
Answer:
it is 500.625
Step-by-step explanation:
it is the right one
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (-3, 1)?
Answer:
y-1= -1/3(x+3)
Step-by-step explanation:
y-y1=m(x-x1)
y-1=m(x+3)
the slope is rise over run
the slope is -1/3
Answer:
y - 1 = 3/2 (x + 3)
Step-by-step explanation:
To find the equation of a line parallel to the given line and passing through the point (-3, 1), we can use the point-slope form of a linear equation. The point-slope form is given by:
y - y₁ = m(x - x₁)
Where (x₁, y₁) is the given point and m is the slope of the line.
First, let's calculate the slope of the given line using the two points (-2, -4) and (2, 2):
slope = (y₂ - y₁) / (x₂ - x₁)
= (2 - (-4)) / (2 - (-2))
= 6 / 4
= 3/2
Since the line we want to find is parallel to the given line, it will have the same slope. Therefore, the slope (m) of the new line is also 3/2.
Now we can substitute the values into the point-slope form using the point (-3, 1):
y - 1 = (3/2)(x - (-3))
y - 1 = (3/2)(x + 3)
The equation in point-slope form of the line parallel to the given line and passing through the point (-3, 1) is:
y - 1 = 3/2 (x + 3)
Which of the following is the graph of f(x) = 5 cos (2x)? Select one: a. graph with points 0, 5 and pi over 4, 0 and pi over 2, negative 5 and 3 pi over 4, 0 and pi, 5 b. graph with points at 0, 0 and pi over 4, negative 3 and pi over 2, 0 and 3 pi over 4, 3 and pi, 0 c. graph with points 0, negative 5 and pi over 4, 0 and pi over 2, 5 and 3 pi over 4, 0 and pi, negative 5 d. graph with points at 0, 5 and pi over 4, 2 and pi over 2, negative 1 and 3 pi over 4, 2 and pi, 5
The required graph has been attached below that represents the function f(x) = 5 cos (2x).
The graph of the function f(x) = 5 cos(2x) is a periodic function that oscillates between its maximum and minimum values as x changes.
Specifically, the function is a cosine function with amplitude 5 and period π, since the coefficient of x is 2 in the argument of the cosine function.
The graph of the function f(x) = 5 cos(2x) has a maximum value of 5 when cos(2x) = 1 (i.e., at 2x = 0 + 2πk, where k is an integer), and a minimum value of -5 when cos(2x) = -1 (i.e., at 2x = π + 2πk, where k is an integer).
Thus, the graph has been attached below that represents the given function.
Learn more about Trigonometric functions here:
brainly.com/question/6904750
#SPJ1
1. Consider the following quadratic function y=4-5x+3x². a) b) c) Generate the table of values of the function for all x ranging from to Use the table to plot the graph of the function y = f(x) for all scale 4or the y-axis and 2cm to I unit along the x-axis. Using the graph: Solve for the root of the equation 4-5x+3x²=0. Solve the equation 3x² -5x=2. (iii) Determine the range of values of x for which 35x
Answer: \(35x < 4-5x+3x^2\) is \(x < \frac{1}{3}\) or \(x > \frac{4}{3}\)
Step-by-step explanation:
A) To generate the table of values, we can substitute different values of x into the equation and solve for y.
x y
-2 26
-1 12
0 4
1 2
2 10
To plot the graph of the function, we can use the table of values and plot the corresponding points on a graph with a scale of 4 for the y-axis and 2cm to 1 unit along the x-axis. The graph should look like a parabola opening upwards.
c) To solve for the root of the equation 4-5x+3x^2=0, we can use the graph and find the x-coordinate of the point where the graph intersects the x-axis. This point is also known as the x-intercept or the root of the equation. From the graph, we can see that the root is approximately x=0.83.
To solve the equation 3x^2 -5x=2, we can rearrange it to the form 3x^2 -5x-2=0 and factor it as (3x+1)(x-2)=0. This gives us two solutions: x=-1/3 and x=2.
To determine the range of values of x for which 35x<4-5x+3x^2, we can rearrange the inequality to the form 3x^2-40x+4>0 and factor it as (3x-1)(x-4/3)>0. This means that either (3x-1) and (x-4/3) are both positive or both negative.
When (3x-1)>0 and (x-4/3)>0, we get x>1/3 and x>4/3, which means x>4/3.
When (3x-1)<0 and (x-4/3)<0, we get x<1/3 and x<4/3, which means x<1/3.
Therefore, the range of values of x for which 35x<4-5x+3x^2 is x<1/3 or x>4/3.
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
y=2x+6
Step-by-step explanation:
what’s four times a number (algebra wise)
Answer:
4x
Step-by-step explanation:
Is 6z-2z+4 and 4+2z-6z equivalent?
Mona had 32 math problems for homework. She completed 3/4 of them before dinner and the remaining 1/4 after dinner. How many problems did she complete before dinner?
Answer: 24 problems done before dinner
Step-by-step explanation:
Take the 32 total math problems and divide it by 3/4 (the amount of problems done before dinner) getting you 24 problems done before dinner
The table below shows a company's Manufacturing Cost, Overhead, Total
Sales, Profit, and Dividend per Shareholder over 4 years. Assume the
relationships among Manufacturing Cost, Overhead, Total Sales, Profit,
and Dividend per Shareholder remain the same over the years.
What should have been the Dividend per Shareholder in 2017,
assuming the number of Shareholders has remained unchanged
during the period 2017-2020?
SELECT ONE ANSWER
$17.45
$19.50
$20.00
$25.00
The Dividend per Shareholder in 2017 is $20.
As, Dividend per Shareholder = Profit / Number of Shareholders
Since the number of shareholders is assumed to have remained unchanged during the period 2017-2020, we can calculate the dividend per shareholder in 2017 using the profit value for that year.
Based on the given table, the profit for 2017 is $7,000.
Dividend per Shareholder in 2017
7000/x = 15500 / 44.29
7000/x = 349.966
x = 7000/349.966
x= 20.01
Learn more about Shares problem here:
https://brainly.com/question/30475800
#SPJ1
Help pls QUICKK AND TY!
Answer:
Graph 1 is C
Graph 2 is A
Graph 3 is B
Graph 4 is D
Step-by-step explanation:
If there are more you need help with I am happy to help
Find the measure of the smaller angle formed by the hands of a clock at the following time. 4:25
The minute hand has moved 25 times out of a possible 60 from the top of the clock as of 4:25. 150 degrees is 25 multiplied by 6 degrees. Simply subtracting those degrees from the above calculation, the angle from the minute hand to the hour hand is equal to 360 degrees. 342.5 degrees is 360 minus 17.5.
An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex. Using a protractor, angles are measured in degrees (°).
An angle is a figure in plane geometry that is created by two rays or lines that have a common endpoint. The Latin word "angulus," which means "corner," is the source of the English word "angle." The common endpoint of two rays is known as the vertex, and the two rays are referred to as sides of an angle. When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the word "angle" originates.
Learn more about angle here
https://brainly.com/question/25716982
#SPJ9
Pls help i will give brainliest if right
Answer: the answer is A
Step-by-step explanation:
4.
Identify the point corresponding to P.
A. P′ (−5, −3)
B. P′ (−2, 0)
C. P′ (−3, −1)
D. P′ (−4, 0)
Answer: The answer is NOT letter D.
A. P′ (−5, −3)
Step-by-step explanation:
P′ (−5, −3)
...................................................................................................................................................
P′ (−4, 0)
You can look at the graph. The X-axis always goes first. SO -4 is first because it's on the x-axis. ANSWER= (-4, 0)
Help I don’t know how to solve these it’s about functions pls give me an answer with an explanation. f(x)=-x+2;Solve for x when f(x)=1
For the function f(x) = x + 2, the value of x when f(x) = 1, gives x = -1
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
Given that:
f(x) = x + 2
When f(x) = 1, substituting:
1 = x + 2
x = -1
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
SOLVE FOR U
7 = –3(u − 9) + 1
Answer:
u = 7
Step-by-step explanation:
Need help ASAP
the value of each variable. If your answer is not
teger, express it in simplest radical form.
The length of a is
The length of b is
(Simplify your answer.)
Answer:
me too (help)
Step-by-step explanation:
It takes 43 facial muscles to frown. This is 26 more muscles
than it takes to smile. How many muscles does it take to
smile?
Answer:
17
Step-by-step explanation:
43 - 26 = 17
Answer:
43 - 26 = 17 muscles
What is the value of a in the equation -1/4 a -5=5-2?
Answer:
-32
Step-by-step explanation:
-1/4a-5=5-2
add 5 to both sides to cancel the negative five on the left side.
-1/4a-5+5=5-2+5
-1/4a=8
multiply the equation by -4 to get the a just by itself
-4(-1/4)a=8(-4)
a=-32
Hope that helps :)
Solve for x and graph the solution on the number line below.
The solution of the inequality is 8 ≥ x or x > 10. The graph of the solution is attached
How to solve for x and graph the solution on the number line?An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.
Solving for x:
11≥ 2x - 5 or 2x - 5 > 15
Collect like terms:
11 + 5 ≥ 2x or 2x > 15 + 5
16 ≥ 2x or 2x > 20
8 ≥ x or x > 10
Note: 8 ≥ x can also be written as x ≤ 8
We can combine the two as follow:
Inequality notation: 8 ≥ x > 10
The graph of the solution is attached
Learn more about inequality on:
brainly.com/question/25275758
#SPJ1
0.02 divided by 924.3
Answer: 0.00002163799
Step-by-step explanation:
Answer:
46,215
Step-by-step explanation:
you just have to divide the bigger number first and then the smallest
Compare the values of the following numbers, using the symbols > (greater than), < (less than), and = (equal to).
0.5 _____0.500
Answer:
0.5 = 0.500
Step-by-step explanation:
Both numbers are five-tenths. The zeros to the right of the 5 are not place holders and do not change the value of the number.
0.5 = 0.500
What is the value of k in the equation below? 5k-2k=12
Answer:
(D)4
Explanation:
Given the equation:
\(5k-2k=12\)First, we simplify the left-hand side.
\(\begin{gathered} (5-2)k=12 \\ 3k=12 \end{gathered}\)Next, divide both sides of the equation by 3.
\(\begin{gathered} \frac{3k}{3}=\frac{12}{3} \\ k=4 \end{gathered}\)The value of k is 4.
Answer: k=4
Step-by-step explanation:
Combine like terms: 5k-2k=3k
Divide 12 by 3: k=4
It costs $3.99 for 32 fl. oz. of soda. What is the unit rate?
Your answer
simplify √([2m5z6]/[ xy])
The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:
Simplify the numerator:
√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)
= √2m√5z√6
Simplify the denominator:
√(xy) = √(x) * √(y)
Combine the numerator and denominator:
√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)
Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
For such more questions on simplified form
https://brainly.com/question/28323654
#SPJ8
An amusement park is open May through September. The table shows the attendance each month as a portion of the total attendance. How many times more guests visit the amusement park in the busiest month than in the least busy month?
Answer:
may 90/100
june 32/100 multiply by 4
july 22/100
august 29/100
September 8/100 multiply by 4
i didnt understand the quastion but least means the Lowest number that mean the answer is september
The sum of two numbers is 24 and their
difference is 2. What are the numbers
Answer:
13 & 11
Step-by-step explanation:
Let x & y: x > y be the two numbers
sum = 24 x + y = 24
Difference x - y = 2
please help with this question
In this case, the given sample mean of 25.3 is only slightly higher than the population mean of 25, and is well within one standard deviation from the population mean. Therefore, the probability of a sample mean being less than 25.3 is 0.9582.
What is mean?In statistics, the mean is a measure of central tendency that represents the sum of all values in a dataset divided by the total number of values in that dataset. It is also commonly referred to as the average.
Here,
To find the required probability, we need to calculate the z-score first:
z = (x - μ) / (σ / √n)
z = (25.3 - 25) / (1.3 / √68)
z = 1.73
Looking at the standard normal table, the probability of a z-score being less than 1.73 is 0.9582.
To determine whether the given sample mean would be considered unusual, we need to compare it to the population mean and standard deviation. A sample mean is considered unusual if it falls outside the range of values that are expected to occur with a high probability based on the population mean and standard deviation.
To know more about mean,
https://brainly.com/question/30322278
#SPJ1
You have $1000 to invest in two different accounts. To save the money you need for college, you need to average 5.7 percent interest. If the two accounts pay 4 percent and 6 percent interest, how much should you invest in each account?
$550 in 4%, $450 in 6%
$300 in 4%, $700 in 6%
$700 in 4%, $300 in 6%
$150 in 4%, $850 in 6%
Answer:
D
Step-by-step explanation:
that is the solution above
If the #2 pencil is the most popular, why’s it still #2?