Step-by-step explanation:
The formula for simple interest is as follows.
I = prt
where, I = simple interest
p = principle
r = rate
t = time
This formula can be alternatively written by shifting I, r, t, and p either on the right or left side of equals sign.
Therefore, the formula can be rewritten as follows.
I = trp[tex]t = \frac{I}{rp}[/tex] [tex]p = \frac{I}{rt}[/tex]On Mars, if you hit a baseball, the height of the ball at time "t" would be modelled by the quadratic function h=-1.85t^2+20t+1, where t is in seconds and h is in metres. When will the ball hit the ground?
A captain of a fishing boat pays each member of his crew $20, plus $3 per fish caught. How much would a crew member earn for catching 40 fish?
Answer: C) $140
20 times 3 plus 20
A crew member would earn $140 for catching 40 fish, calculated by adding the base pay of $20 to the additional pay of $3 per fish caught for the total number of fish.
To calculate how much a crew member would earn for catching 40 fish, given that the captain of the fishing boat pays each crew member a base amount of $20 plus an additional $3 per fish caught. To find the total earnings, we use the formula:
Total earnings = Base pay + (Pay per fish × Number of fish caught)
Plugging the given numbers into the formula, we get:
Total earnings = $20 + ($3 × 40)
Total earnings = $20 + $120
Total earnings = $140
Therefore, a crew member would earn $140 for catching 40 fish.
The graph below shows a line segment PQ: graph of line PQ going through ordered pairs negative 1, 3 and 2, negative 3 Which of the following equations best represents the line segment PQ?A: y = −3x + 2B: y = −2x + 1C: y = −3x − 2D: y = −2x − 1
Answer:
y = -2x + 1. The answer is B.
Step-by-step explanation:
Which of the following is not a way to represent the solution of the inequality 2(x − 1) less than or equal to 10? (1 point)
A. x less than or equal to 6
B. 6 greater than or equal to x
C. A number line with a closed circle on 6 and shading to the left
D. A number line with a closed circle on 6 and shading to the right
A and B are the same and C is proven wrong due to the equality sign lkeaving only D to be correct
A key code must contain 6 numerals. There are 10 numerals available. Using these numerals, how many different key codes may be created? A. 151,200 B. 340 C. 210 D. 3,480
Answer: Option A, 151,200 possible combinations.
Explanation:
The code must contain 6 numbers, and there are a total of 10 numbers avaible. Here we must assume that the numbers must be different, because of the word "avaible" and the options avaible.
This means that for the first number, we have 10 options, for the second number, we have 9 options (because we already took 1), in the third number, we have 8 options, and so on.
The total number of combinations is equal to the product between the number of options for each number in the code.
10*9*8*7*6*5 = 151,200
Then the right option is A.
what is the range of f(x)=log0.6x
If the probability of an event is 0.7 repeating, what are the odds against the event
the area of a rectangle with width x and length 7x is 7x^2 what does the coefficient 7 mean in terms of the problem
If x = 3 is a zero of the polynomial function f(x) = 2x3 + x2 − 25x + 12, which of the following is another zero of f(x)? ASAP
The other zeros of the polynomial if 3 is a zero is -4 and 1/2
If x = 3 is a zero of the polynomial function f(x) = 2x3 + x2 − 25x + 12, then x - 3 is a factor.
To get the other factor we will take the division of the polynomial and the factor to have:
2x^3 + x^2 − 25x + 12/x - 3 = 2x² + 7x - 4
Factorize 2x² + 7x - 4
2x² + 7x - 4 = 0
2x² + 8x - x- 4 = 0
2x(x+4)-1(x+4) = 0
(x+4)(2x-1) = 0
x = -4 and 1/2
Hence the other zeros of the polynomial if 3 is a zero is -4 and 1/2
Learn more here: https://brainly.com/question/16821812
If the tangent line to y = f(x) at (7, 4) passes through the point (0, 3), find f(7) and f '(7).
Final answer:
To find f(7) and f'(7) of y = f(x) given a point on the tangent line passing through another point.
Explanation:
Given:
Equation of tangent line to y = f(x) at (7, 4) passes through (0, 3).
To find:
f(7) and f'(7).
What is the equation of the blue graph?
Find the volume of each figure to the nearest tenth. Show your work.
Openstudy using synthetic division, what is the quotient (2x3 − 2x − 12) ÷ (x − 2)?
What is the simplified form of 3 over 4x plus 3 + 21 over 8 x squared minus 14x minus 15
6 times the quantity 2 x plus 5 end quantity over the quantity 2x minus 5 end quantity times 4 x plus 3
6 over the quantity 4 x plus 3
6 times the quantity x plus 1 end quantity over the quantity 2x minus 5 end quantity times 4 x plus 3
6 times the quantity x plus 1 end quantity over the quantity 2x plus 5 end quantity times 4 x plus 3
Answer: Third Option is correct.
Explanation:
Since we have given that
[tex]\frac{3}{4x+3}+\frac{21}{8x^2-14x-15}[/tex]
Now, we will simplify it, step by step:
First we take 3 as common factor :
[tex]3[\frac{1}{4x+3}+\frac{7}{8x^2-14x-15}][/tex]
Now, we will do the method " Splitting the middle term" we get,
[tex]3[\frac{1}{4x+3}+\frac{7}{8x^2-20x+6x-15}]\\\\3[\frac{1}{4x+3}+\frac{7}{4x(2x-5)+3(2x-5)}]\\\\3[\frac{1}{4x+3}+\frac{7}{(4x+3)(2x-5)}]\\\\3[\frac{2x-5+7}{(2x-5)(4x+3)}]\\\\=3[\frac{2x+2}{(2x-5)(4x+3)}]\\\\=\frac{6(x+1)}{(2x-5)(4x+3)}[/tex]
Hence, 6 times the quantity x plus 1 end quantity over the quantity 2x minus 5 end quantity times 4x plus 3.
Therefore, Third Option is correct.
Okay before i even ask, everyone should i suck at math. so: Michelle went to Spain for 22 days in June. What fraction of the month June did Michelle spend in Spain?
Hillary rolls 2 number cubes numbered 1 through 6 while playing her favorite board game. She will get a second turn if she rolls a sum that is an odd number greater than 10. What are Hillary's chances of getting a second turn when she rolls the number cubes?
The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tracking them. Since then, there has been one fifth as many new trees each year. Create the sigma notation showing the infinite growth of the trees and find the sum, if possible.
1 1000
2 200
3 40
Answer:
A
Step-by-step explanation:
What is the measure of ABC?
Answer: Measure of <ABC=65°.
Step-by-step explanation:
The intercepted arc Theorem says :Angle made on circumference if half the measure of the intercepted arc.
In the given circle measure of arc is 130° The angle intercepted by arc AC is <ABC.
m<ABCwill be equal to Half of measure of arc AC
M<ABC=[tex]\frac{1}{2} of 130=65[/tex]
A bag contains 21 red marbles, 22 green marbles, 24 orange marbles, and 10 yellow marbles. You choose a marble randomly from the bag.
What is the approximate probability that you will choose a green or yellow marble?
A. 0.358
B. 0.435
C. 0.416
D. 0.538
21 +22+24+10 = 77 total marbles
22 +10 =32 green and yellow marbles
32/77 probability of choosing a green or yellow one
32/77 = 0.416
answer is C. 0.416
A square with an area of 64 in2 is rotated to form a cylinder. What is the radius of the cylinder?
The function below shows the number of car owners f(t), in thousands, in a city in different years t: f(t) = 0.25t2 − 0.5t + 3.5 The average rate of change of f(t) from t = 2 to t = 6 is ______ thousand owners per year. Answer for Blank 1:
Describe the graph of the function.y = |x – 4| – 7
We are given a function as:
[tex]y=|x-4|-7[/tex]
We know that this function is a transformation of the parent function y=|x| i.e. the modulus function.
The rule that holds in this transformation is:
It is a translation of the parent function 4 units to the right and 7 units down.
Also, the graph of the function is attached to the answer.
which of the following are not necessary when proving that the diagonals of a rectangle are congruent? check all that apply
Answer:
The correct options are B and D.
Step-by-step explanation:
A quadrilateral is called rectangle if the opposite sides are congruent and parallel to each other. All interior angles are right angle and congruent.
To prove that the diagonals of a rectangle are congruent the necessary conditions are
1. Opposite sides of a rectangle are congruent.
2. All right angles are congruent.
Therefore options A and C are necessary conditions. Option A and C are incorrect.
The opposite sides of a rectangle are parallel to each other and two parallel lines never intersect each other.
Therefore the opposite sides are not perpendicular to each other. Option D is correct.
The angle whose measure is more than 90 degree is called an obtuse angle.
Since all interior angles of a rectangle are right angle and congruent, therefore there is no obtuse angle. So, condition B is unnecessary. Option B is correct.
PLEASE HELP!! 25 POINTS
A rectangle has an area of 102 cm2. The length of the rectangle is 17 cm.
What is the perimeter of the rectangle?
Which is an equation of a circle with center (2, -1) that passes through the point (3, 4)?
1. (x + 2)2 + (y - 1)2 = 26
2. (x + 2)2 + (y - 1)2 = 13
3. (x - 2)2 + (y + 1)2 = 26
4. (x - 2)2 + (y + 1)2 = 13
Ted and Meg have each drawn a line on the scatter plot shown below:
Which line best represents the line of best fit?
Line P, because it is closest to most data points
Line P, because it shows a positive association
Line R, because it is closest to most data points
Line R, because it shows a negative association
line P is the best fit, since the data points are closest to it,
so the first answer.
The line which best represents the line of best fit is:
Line P, because it is closest to most data points
Step-by-step explanation:The line of best fit is a line which best represents the data and the data points are closely related to it.It is also known as a trend line.The line of best fit may pass through, some , none or all of the data points.Also if the scatter plot does not pass through all the data point then the magnitude of positive residual must be approximately equal to the magnitude of negative residual of the data points.Hence, by looking at the scatter plot we see that all the data points lie above Line R.
Hence, the Line R will not be a line of best fit.
But all the data points lie close to the line P , hence it act as a line of best fit.
Which of the following are arithmetic sequences? Check all that apply.
A. 1, 1, 2, 5, 8, 13
B. 5, 5, 5, 5, 5
C. 3, 6, 9, 12, 15
D. 2, 4, 8, 16, 32
Answer:
The correct option is B) 5, 5, 5, 5, 5 and C) 3, 6, 9, 12, 15 are arithmetic sequences
Step-by-step explanation:
Arithmetic sequence is: a, a+r, a+2r, a+3r, a+4r, ....... where r is common difference
Check part A) 1, 1, 2, 5, 8, 13
In which [tex]a_1=1,\, a_2=1,\,a_3=2,\,a_4=5[/tex]
common difference [tex]d=a_n+1 -a_n[/tex]
[tex]d=a_2 -a_1 =1-1=0 [/tex]
[tex]d=a_3 -a_2 =2-1=1 [/tex]
since common difference is not same
so, sequence 1, 1, 2, 5, 8, 13 is not arithmetic sequences.
Check part B) 5, 5, 5, 5, 5
In which [tex]a_1=5,\, a_2=5,\,a_3=5,\,a_4=5[/tex]
common difference [tex]d=a_n+1 -a_n[/tex]
[tex]d=a_2 -a_1 =5-5=0 [/tex]
[tex]d=a_3 -a_2 =5-5=0 [/tex]
since common difference is same
so, sequence 5, 5, 5, 5, 5 is arithmetic sequences.
Check part C) 3, 6, 9, 12, 15
In which [tex]a_1=3,\, a_2=6,\,a_3=9,\,a_4=12[/tex]
common difference [tex]d=a_n+1 -a_n[/tex]
[tex]d=a_2 -a_1 =6-3=3 [/tex]
[tex]d=a_3 -a_2 =9-6=3 [/tex]
since common difference is same
so, sequence 3, 6, 9, 12, 15 is arithmetic sequences.
Check part D) 2, 4, 8, 16, 32
In which [tex]a_1=2,\, a_2=4,\,a_3=8,\,a_4=16[/tex]
common difference [tex]d=a_n+1 -a_n[/tex]
[tex]d=a_2 -a_1 =4-2=2 [/tex]
[tex]d=a_3 -a_2 =8-4=4 [/tex]
since common difference is not same
so, sequence 2, 4, 8, 16, 32 is not arithmetic sequences.
Therefore, the correct option is B) 5, 5, 5, 5, 5 and C) 3, 6, 9, 12, 15 are arithmetic sequences
If the letters a, b, c, d, e, and f are to be used in a five-letter code, how many different codes are possible if repetitions are not permitted?
The sum of three numbers is 91. the third number is 2 times the first. the first number is 7 less than the second. what are the numbers?
To solve for three unknown numbers with given relationships, we set up algebraic equations. Using substitution, we find the three numbers by solving the linear system. The numbers are 21, 28, and 42.
Explanation:The problem presented is a typical linear equation problem found in mathematics where we need to find the values of three unknown numbers with the given relationships between them. To find the three numbers, we set up algebraic equations based on the information provided. Let's denote the first number as x, the second number as y, and the third number as z.
According to the problem:
The sum of the three numbers is 91: x + y + z = 91.The third number is 2 times the first: z = 2x.The first number is 7 less than the second: x = y - 7.Let's now use substitution to solve for the numbers. Substituting the value of x from the third equation into the second equation, we get z = 2(y - 7). Plugging the expressions for x and z back into the first equation, we have y - 7 + y + 2(y - 7) = 91. Simplifying this equation gives us 4y - 21 = 91, which solves to y = 28. Using y = 28, we find x = 21 and z = 42.
Therefore, the three numbers are 21, 28, and 42.
which residual plot shows that the line of best fit is a good model?
The residual plot with a line of best fit that is a good model is the third residual plot.
Which line of best fit is a good model?The line of best fit should cut across data points in such a way that the data points on each side are relatively the same number.
The data points on both sides should also be roughly the same distance away from the line. The third residual plot fits these parameters and so shows the line of best fit as a good model.
Find out more on the Line of Best fit at https://brainly.com/question/21241382.
Answer:
the 3rd one
Step-by-step explanation: took the test on edu