Answer:
Option COption BStep-by-step explanation:
Let's simplify this further to get our answer.
-5/6(12 - 6x + 18y)=> -60/6 + 30x/6 - 90y/6=> -10 + 5x - 15yLooking at the options, we can say that Option C and B are correct.
Lets see
-5/6(12-6x+18y)-5/6(12)+5/6(6x)-5/6(18y)-5(2)+5x-5(3y)-10+5x-15ywhich is the correct answer ????
The correct way to replace equation 1 into equation 2 using the substitution method is 2x+(-5x+10) = 7.
According to the question,
We have the following two equations:
Equation 1: y = -5x+10
Equation 2: 2x+y = 7
Now, we will substitute the value of y from equation 1 in equation 2.
So, we have the following expression:
2x+(-5x+10) = 7
(More to know: we can also solve this equation to find the value of x and then the obtained value of x can be put in equation 1 to find the value of y.)
Hence, the correct option is B.
To know more about substitution method here
https://brainly.com/question/14619835
#SPJ1
Larry put $1,287 into a savings account 8 years ago. • The account earned 4% simple annual interest. • He made no additional deposits or withdrawals. Based on this information, what is the balance in dollars and cents in Larry's savings account at the end of these 8 years? Record your answer in the boxes below. Be sure to use the correct place value.
The balance in Larry's savings account at the end of these 8 years is 1698 dollars and 84 cents
What is the balance in dollars and cents in Larry's savings account at the end of these 8 yearsThe given parameters are
Principal, P = 1287
Rate, R= 4%
Time, T = 8
The balance in dollars and cents in Larry's savings account at the end of these 8 years
Balance = P * PRT
This gives
Balance = 1287 + 1287 * 4% * 8
Evaluate
Balance = 1698.84
Hence, the balance in Larry's savings account at the end of these 8 years is 1698 dollars and 84 cents
Read more about simple interest at
https://brainly.com/question/25793394
#SPJ1
What is the angle θ in the triangle below?
Answer:
θ = 64.98310506 degrees (65 degrees rounded to unit)
Step-by-step explanation:
4.2 * tanθ = 9
4.2 * tanθ/ 4.2 = 9/4.2
tanθ = 2.142857
θ = arctan 2.142857
θ = 64.98310506
Step-by-step explanation:
using the SOH CAH TOA Rule,
tan 0=opp÷adj
tan 0=9÷4.2
tan 0=2.14
0=tan inverse of 2.14
An element with a mass of 430 grams decays by 25.4% per minute. To the nearest tenth of a minute, how long will it be until there are 90 grams of the element remaining?
There will be 90 grams of the element remaining after the 5.3 minute
How to determine how long for 90 grams to remain?From the question, we have the following parameters that can be used in our computation:
Mass of element = 430 grams
Rate of decay = 25.4% per minute
The above implies that the decay follows an exponential path
An exponential function that represents a decay function is represented as
A(n) = a * (1 -r)ⁿ
Where
A(n) = remaining amount at the nth minute
a = Initial amount = 430
r = rate of decay = 25.4%
So, we have
A(n) = 430 * (1 -25.4%)ⁿ
Evaluate the difference
A(n) = 430 * (0.746)ⁿ
When there are 90 grams, we have
430 * (0.746)ⁿ = 90
This gives
(0.746)ⁿ = 0.21
So, we have
n = log(0.21)/log(0.746)
Evaluate
n = 5.3
Hence, the number of minutes is 5.3
Read more about decay functions at
https://brainly.com/question/3966275
#SPJ1
Solve by graphing. x2 + 2x – 3 = 0
By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.
To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.
First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.
We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.
1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:
0 = x^2 + 2x - 3.
This quadratic equation can be factored as (x + 3)(x - 1) = 0.
Therefore, x = -3 or x = 1.
2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.
3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).
For more such questions on graph
https://brainly.com/question/19040584
#SPJ8
Help needed Asap on calc practice problems
Answer:
Integrate from 3 to 1 and then you should get 4/3
So C.
HELPP! i don’t know this
Answer: A
Step-by-step explanation:
Using the 3D Pythagorean theorem, \(AB=\sqrt(6^2 + 4^2 + 1^2)=\sqrt(53)\)
What is the result of 5 divided by 1/5?
Answer:
15 divided by 1/5 is equal to 1.
Which number is closest to the value of the irrational number -V58 ?A) -7.2B) -7.6C -6.8D) -8.2АB В
The irrational number is:
\(-\sqrt[]{58}\)and the solution is:
\(-\sqrt[]{58}\approx-7.6\)So the solution is B)
The table shows the height, in meters, of an object that is dropped as time passes until the object hits the ground. A 2-row table with 10 columns. The first row is labeled time (seconds), x with entries 0, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4.0, 4.6. The second row is labeled height (meters), h with entries 100, 98.8, 95.1, 89.0, 80.4, 69.4, 55.9, 40.0, 21.6, 0. A line of best fit for the data is represented by h = –21.962x + 114.655. Which statement compares the line of best fit with the actual data given by the table? According to the line of best fit, the object would have hit the ground 0.6 seconds later than the actual time the object hit the ground. According to the line of best fit, the object was dropped from a lower height. The line of best fit correctly predicts that the object reaches a height of 40 meters after 3.5 seconds. The line of best fit predicts a height of 4 meters greater than the actual height for any time given in the table.
Answer: A. According to the line of best fit, the object would have hit the ground 0.6 seconds later than the actual time the object hit the ground.
The statement first "According to the line of best fit, the object would have hit the ground 0.6 seconds later than the actual time the object hit the ground" 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.
We have a line of best fit:
h = –21.962x + 114.655
As per the data given and line of best fit, we can say the object would have impacted the ground 0.6 seconds later than it did according to the line of best fit.
Thus, the statement first "According to the line of best fit, the object would have hit the ground 0.6 seconds later than the actual time the object hit the ground" is correct.
Learn more about the line of best fit here:
brainly.com/question/14279419
#SPJ2
If the time is between 8:00 a.m. and 6:00 p.m, then the public swimming pool is open. If the public swimming pool is open, then people may swim or dive into the pool. Therefore, if … Responses the pool is open, then it is Saturday. the pool is open, then it is Saturday. people may swim or dive into the pool, then they can also sunbathe around the pool too. people may swim or dive into the pool, then they can also sunbathe around the pool too. the time is between 8:00 AM and 6:00 PM, then many people are likely at work and unable to swim or dive into the pool. the time is between 8:00 AM and 6:00 PM, then many people are likely at work and unable to swim or dive into the pool. the time is between 8:00 AM and 6:00 PM, then people may swim or dive into the pool.
The correct conclusion based on the given statements is:
If the time is between 8:00 a.m. and 6:00 p.m., then people may swim or dive into the pool.
What is conditional statementA conditional statement, also known as an "if-then" statement, is a type of logical statement that consists of two parts: a condition (the "if" part) and a result (the "then" part).
It expresses a cause-and-effect relationship, stating that if a certain condition is true, then a specific result or action will follow.
"If the time is between 8:00 a.m. and 6:00 p.m., then people may swim or dive into the pool." This conclusion follows from the given information that if the time is within the specified range, the public swimming pool is open, and if the pool is open, people are allowed to swim or dive into it.
Learn more about conditional statement at
https://brainly.com/question/17388479
#SPJ1
I have provided a picture
The regression equation is y = 28.0 + 0.0510x.
The best predicted temperature at a time when the cricket chirps 3000 times in 1 minute, based on the regression equation is 181°F.
What is wrong with this predicted temperature: B. It is unrealistically high. The value 3000 is far outside of the range of observed values.
How to determine the line of best fit?In this scenario, the chirps in 1 min would be plotted on the x-axis (x-coordinate) of the scatter plot while the temperature would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.
From the scatter plot (see attachment) which models the relationship between the chirps in 1 min and the temperature, a regression equation or an equation for the line of best fit is given by:
y = 28.0 + 0.0510x
When x = 3000, the temperature can be calculated as follows;
y = 28.0 + 0.0510(3000)
y = 181°F
In conclusion, a temperature of 181°F is unrealistically too high because a chirps of 3000 times in 1 min is an outlier.
Read more on scatter plot here: brainly.com/question/28605735
#SPJ1
Q7 PLEASE HELP ME !!!!!!!!!!!!!!!!!!!
The outcomes that are contained in the events are
X = 3 and 10 ⇒ P(X) = 1/5Not X =1, 2, 4, 5, 6, 7, 8 ⇒ P(Not X) = 4/51 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)
The outcomes contained in the eventsFrom the question, we have the following parameters that can be used in our computation:
X = gray colours
Given that
gray colours = 3 and 10
We have
X = 3 and 10
Not X =1, 2, 4, 5, 6, 7, 8
The probability is then calculated as
P(X) = 2/10 = 1/5
For P(Not X), we have
P(Not X) = 1 - 1/5 = 4/5
The equation of P(Not X)In (a), we have
P(Not X) = 1 - 1/5 = 4/5
This means that
P(Not X) = 1 - P(X)
So, the solution is
1 - P(X) = 4/5
The equivalent expressionUsing the above (a) and (b) as a guide, we have the following:
1 - P(X) is the same as P(Not X)
Read more about probability at
https://brainly.com/question/251701
#SPJ1
Please help!!
Thankyou!!
The scale factor is: 1.8
because of :
\(\frac{36}{20}=1.8\\ \\\\\frac{25.2}{14}=1.8\)
Write the equation of the graph shown below in factored form. (6 points)
the graph starts at the bottom left and continues up through the x axis at negative two to a maximum around y equals eight and goes back down through the x axis at one to a minimum around y equals negative four and back up through the x axis at three
f(x) = (x + 2)(x + 1)(x + 3)
f(x) = (x − 2)(x − 1)(x − 3)
f(x) = (x − 2)(x + 1)(x + 3)
f(x) = (x + 2)(x − 1)(x − 3)
The minimum and the maximum y-values represent a quadratic function.
The function in factored form is \(f(x) = (x + 2)(x- 1)(x - 3)\)
From the question, the graph crosses the x-axis at:
x = -2x = 1x =3Next, we equate the above equations to 0
This gives:
\(x + 2 = 0\)
\(x - 1 = 0\)
\(x - 3 = 0\)
Multiply the above equations
\((x + 2)(x- 1)(x - 3) = 0 \times 0 \times 0\)
\((x + 2)(x- 1)(x - 3) = 0\)
Represent as a function
\(f(x) = (x + 2)(x- 1)(x - 3)\)
Hence, the required function is:
\(f(x) = (x + 2)(x- 1)(x - 3)\)
See attachment for the graph of \(f(x) = (x + 2)(x- 1)(x - 3)\)
Read more about quadratic functions at:
https://brainly.com/question/23094373
Which triangle is a reflection of the red triangle? 4. 1. 3. 2.
Answer: Triangle 4
The red triangle (that's unlabled) is reflected over the vertical line x = 6 to produce triangle 4.
Is (2, 5) a solution to this system of equations? y = x + 3 y = 7x + 6
Answer:
No is not the solution to that system
Step-by-step explanation:
FIND Y
PLEASE HELP ILL GIVE BRAINLIESTTTT :))
Answer:
y = 22
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the angles in the lower triangle and equate to 180°
∠ 1 + 19° + 41° = 180°
∠ 1 + 60° = 180° ( subtract 60° from both sides )
∠ 1 = 120°
∠ 1 and ∠ 2 are vertically opposite angles and are congruent , so
∠ 2 = 120°
Sum the angles in the upper triangle and equate to 180
y + 120 + 38 = 180
y + 158 = 180 ( subtract 158 from both sides )
y = 22
Yael used to have a square garage with 228 ft2 of floor space. She recently built an addition to it. The garage is still a square, but now it has 50% more floor
space.
(Part A) What was the length of one side of the garage originally?
(Part B) What is the length of one side of the garage now?
(Part C) What was the percent increase in the length of one side?
(Answer) One side of the garage was originally __ ft long.
(Round to the nearest tenth as needed.)
Answer:
Step-by-step explanation:
WILL GIVE BRAINLIEST 15 POINTS
Congruent yes or no
Congruent? _______
If so, what property? ________
Congruent yes or no
Congruent? _______
If so, what property? ________
#1
No
See in first one the angle included is in between the two similar sides( corresponding to other triangle)
In second one the angle marked is not between the corresponding similar sides .
So not congruent
#2
Yes
Three angles of both are equal
AAA (angle-angle-angle)PLZ HURRY IT'S URGENT!!!
Which combinations satisfy the situation in the graph?
(It's multiple choice you can select more than one answer)
options:
4 pounds of apples and 4 pounds of oranges
7 pounds of apples and 8 pounds of oranges
3 pounds of apples and 2 pounds of oranges
6 pounds of apples and 5 pounds of oranges
Answer:
Option 1 and 3
Step-by-step explanation:
jdnfkfnkdksnd
1. Which statement is correct for 450-450-90° triangles?
A. hypotenuse = V3 • leg
B. hypotenuse • V2 = leg
C. hypotenuse=v2 • leg
D. hypotenuse divided V3 = leg
Answer: 3rd answer is the correct answer.
Applying the Pythagorean theorem, we find that the length of the hypotenuse is equal to the square root of 2. In other words, the hypotenuse is root 2 times the length of either leg.
a clothing store is going out of business sale. they are selling pants for 8.99
Answer:
x/3-10=8
x/3=18
x=48
Step-by-step explanation:
A system of linear equations with fewer equations than unknowns is sometimes called an underdetermined system. Can such a system have a unique solution? Explain. Choose the correct answer below. A. No, it cannot have a unique solution. Because there are more variables than equations, there must be at least one free variable. If the linear system is consistent and there is at least one free variable, the solution set contains infinitely many solutions. If the linear system is inconsistent, there is no solution.
Answer:
No, it cannot have a unique solution. Because there are more variables than equations, there must be at least one free variable. If the linear system is consistent and there is at least one free variable, the solution set contains infinitely many solutions. If the linear system is inconsistent, there is no solution.
Step-by-step explanation:
the questionnaire options are incomplete, however the given option is correct
We mark this option as correct because in a linear system of equations there can be more than one solution, since the components of the equations, that is, the variables are multiple, leaving free variables which generates more alternative solutions, however when there is no consistency there will be no solution
To solve such problems we must know about the system of equations and underdetermined systems.
The system of equations doesn't have a unique solution.
Given to usStatement 1 - A system of linear equations with fewer equations than unknowns is sometimes called an underdetermined system. SolutionWhen a system of equations has more variables than the equation, therefore, it has fewer rules to curb the variables, giving the variables more freedom to take up values from their respective domain(Usually it is a set of real numbers), in such a condition the system of equations has infinite solutions. This kind of system is known as an underdetermined system.
Hence, the system of equations doesn't have a unique solution.
Learn more about the system of equations:
https://brainly.com/question/26197467
A person places $8620 in an investment account earning an annual rate of 6.1%,
compounded continuously. Using the formula V = Pert, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 14 years.
Answer:
Step-by-step explanation:
the answer is 20248.59
The amount of money in the account after 14 years would be $20257.
What is compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods. Mathematically -
\($A = P(1 + \frac{r}{n})^{nt}\)
where -
{A} = final amount
{P} = initial principal balance
{r} = interest rate
{n} = number of times interest applied per time period
{t} = number of time periods elapsed
Given is that a person places $8620 in an investment account earning an annual rate of 6.1% compounded continuously.
The given formula is -
V = P\(e^{rt}\)
From the question, we can write -
V = 8620 x \(e^{(0.061)(14)}\)
V = 8620 x \(e^{0.854}\)
V = 8620 x 2.35
V = 20257
Therefore, the amount of money in the account after 14 years would be $20257.
To solve more questions on algebraic expressions, visit the link below -
brainly.com/question/1041084
#SPJ5
the difference of 17 and 5 times a number
Answer:
I need more context
Step-by-step explanation:
Write a numerical expression that represents the number of increments it will take Ashley to reach -60 feet.
Answer:
-60 divided by -10
Answer:
answer on edmentum.
Step-by-step explanation:
Example 2
EXERCISE Carlos is jogging at a constant speed. He starts a timer when he is
12 feet from his starting position. After 3 seconds, Carlos is 21 feet from his
starting position. Write a linear equation to represent the distance d of Carlos
from his starting position after t seconds.
Answer:
\(d =\frac{10}{3}t + 11\)
Step-by-step explanation:
Given
Represent time with t and distance with d
The time at which he sets his timer is 0.
So:
\((t_1,d_1) = (0,11)\)
After 3 seconds:
\((d_2,d_2) = (3,21)\)
Required
Determine the linear equation
First, we need to determine the slope (m):
\(m = \frac{d_2 - d_1}{t_2 - t_1}\)
Substitute in, values
\(m = \frac{21 - 11}{3 - 0}\)
\(m = \frac{10}{3}\)
Next, we determine the equation sing
\(d - d_1 = m(t - t_1)\)
Where
\((t_1,d_1) = (0,11)\)
\(m = \frac{10}{3}\)
\(d - 11 =\frac{10}{3}(t - 0)\)
\(d - 11 =\frac{10}{3}t - 0\)
\(d - 11 =\frac{10}{3}t\)
Add 11 to both sides
\(d - 11+11 =\frac{10}{3}t + 11\)
\(d =\frac{10}{3}t + 11\)
Hence, the linear equation is: \(d =\frac{10}{3}t + 11\)
The linear equation used to represent Carlos distance (d) from his starting position after t seconds is d = 3t + 12
A linear equation is given by:
y = mx + b;
where y, x are variables, m is the rate of change and b is the y intercept.
Let d represent Carlos distance from his starting position after t seconds.
Given that He starts a timer when he is 12 feet from his starting position, hence b = 12 feet. After 3 seconds, Carlos is 21 feet from his starting position. Therefore:
21 = 3m + 12
3m = 9
m = 3 ft per second
The linear equation used to represent Carlos distance (d) from his starting position after t seconds is d = 3t + 12
Find out more at: https://brainly.com/question/13911928
In a correlational study, ____.
A. one variable is measured and two groups are compared
B. two variables are measured and two groups are compared
C. one variable is measured and there is only one group of participants
D. two variables are measured and there is only one group of participants
Answer:
Option B, two variables are measured and two groups are compared
Step-by-step explanation:
In a correlation study relationship between two variable is established.
The two variables represents two group.
For instance correlation study is conducted to determine the relationship between two variables X and Y
X and Y are variable
While X represents the group "number of cars passing through a lane"
Y represents the group "width of the road".
Hence, Option B is correct
Hannah works out 52 ÷ 10 and 4.6 × 100. She checks her answers by working backwards. Work out the answers to these questions. Check your answers by working backwards. a 3.7 × 10 b 0.42 × 1000 c 6.7 ÷ 10 d 460 ÷ 100
plz tell explanation also
Answer:
a. 37
b. 420
c. 0.67
d. 4.6
Step-by-step explanation: