Answer:
y = -1/3x -3.5
Step-by-step explanation:
line interesects y axis at -3.5, distance between dots is down 1 and forward 3
From 2010 to 2015, the number of desktop computers shipped annually _____.
a. Increased by 10x
b. Increased by 5x
c. Increased by 2x
d. Decreased
the temperature of an enclosure for a pet snake should be about 80f, give or take 5. find the maximum and minimum temperatures
Answer:
The max is 85F
The min is 75F
Step-by-step explanation:
Happy To Help :)
X+8=-2
O A. x= 10
OB. x=-6
O C. x=6
OD. x= -10
D is the correct answer
X+8 = -2
x = -8 -2 = -10
Answer: option D
Step-by-step explanation:
X+8=-2
x= -2-8 (you should make x the subject so you switch the +8 to the other
x= -10 side which becomes -8)
so you get -10 because, if both the numbers have the minus sign then you should add the two values which will be a negative answer. So your answer is option D
Which of these expressions equal -8? Check all that apply. 16 x -1/2, -16/3 x 1/2, -1.25 x 6.4, -18 x 1/2, -2x-4, -32 (1/4), 12 x -1/3, -32/1/4), -1.75 x 4.6
Answer:
16×-1/2, -1.25×6.4
Step-by-step explanation:
16×-0.5
=-8
-1.25×6.4
=-8
How do you graph piecewise functions on Desmos?
A piecewise function is a function that is defined by different equations on different intervals.
Graphing a piecewise function on a graph is a great way to visualize its behavior and understand its properties. One of the most popular and user-friendly ways to graph piecewise functions is using the online graphing calculator Desmos.
Here is a step-by-step guide on how to graph a piecewise function on Desmos:
Go to the Desmos website
and click on the "Graphing Calculator" button.
On the left side of the screen, you will see a text box labeled "y=". This is where you will enter the equation of your piecewise function. You can enter multiple equations by separating them with commas.
To graph a piecewise function, you will need to enter different equations for different intervals.
For example, if you have a piecewise function that is defined by the equation y = x^2 for x < 0 and y = x + 2 for x ≥ 0, you would enter y = x^2, x < 0 and y = x + 2, x ≥ 0 in the "y=" text box.
Once you have entered your equations, press the "Graph" button to see the graph of your piecewise function on the screen.
If you want to adjust the graph, you can use the sliders on the left side of the screen to change the range of the x- and y-axis. You can also use the buttons at the top of the screen to zoom in and out or pan around the graph.
To see the graph of multiple piecewise functions at once you can use the "Add another equation" button under the "y=" text box to add additional equations.
You can also use the "Table" tab to see the values of the function at certain x-values and also can use the "Slider" tab to change the value of x and see how that effects the graph of the function.
By following these steps, you can easily graph piecewise functions on Desmos and visualize the behavior of the function. Desmos is a great tool that allows you to experiment with different equations and see how they affect the graph of the function.
It is a great way to understand the properties of piecewise functions and to visualize them in multiple ways.
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-2/3x=20 the answer
Answer:
x = -30
Step-by-step explanation:
-2/3x = 20
~Multiply -3/2 to both sides
x = -30
Best of Luck!
Answer:
x = -30.
Step-by-step explanation:
You must solve for x. To do this, you must divide -2/3 from both sides to get the x variable by itself.
Divide by -2/3 on the left. This gives you x by itself on the left side.
Next, divide 20 by -2/3.
When dividing by a fraction, use the KCF rule, Keep Change Flip.
Keep the 20. Change the sign from division to multiplication. Flip the fraction.
So 20 divided by -2/3 is the same as 20 times -3/2. Basically you just change the sign and flip the fraction to divide by a fraction.
20/1 times -3/2 = -60/2.
-60 / 2 = -30.
So your answer is -30. Basically to solve these, you need to just solve for x by dividing what is attached to x from both sides.
x = -30.
A circle is circumscribed around a rectangle with sides lengths 6 and 8 what is the area of the circle?
A. 16\(\pi\)
B. 20\(\pi\)
C. 24\(\pi\)
D. 25\(\pi\)
E. 30\(\pi\)
Answer:
D. 25pi
Step-by-step explanation:
"circumscribed" means the rectangle is inside the circle and just the corners (vertices) of the rectangle are touching the circle. This means the diagonal of the rectangle is the diameter of the circle. See image. If the sides of the rectangle are 6 and 8 then the third side that makes the triangle(half the rectangle) is 10. You can find this using Pythagorean Theorem or Pythagorean triples (shortcut)
6^2 + 8^2 = d^2
36 + 64 = d^2
100 = d^2
d = 10
This is the diameter of the circle. The radius would then be 5.
Area of a circle is:
A = pi•r^2
= pi•5^2
= 25pi
Design a Turing Machine that accepts L={w#w∣w∈{0,1} ∗
} when given the tape is as follows: [15 marks]
A Turing Machine is a computational model used to study computation in general.
A Turing machine (TM) has an infinite tape divided into squares, where each square can be written or read and the tape is read from left to right.
The movement of the machine is controlled by a head, which can read and write on the tape.
The machine moves left or right along the tape based on its state, reading the current square and writing a symbol to the current square.
The Turing machine that accepts L={w#w∣w∈{0,1}*} when given the tape is as follows: (Q, ∑, Γ, δ, q0, accept, reject)
Where;
- Q: Finite set of states
- ∑: Input alphabet
- Γ: Tape the alphabet, including a blank symbol.
- δ: Transition function
- q0: Initial state
- accept: Accepting state
- project: Rejecting state.
Solution:
Let us assume that the input string is w = w1w2…wn, and the length of the string is n.
The Turing machine that accepts the given language is given below:
Q = {q0, q1, q2, q3, q4, q5, q6}
Γ = {0, 1, #, x, y}
∑ = {0, 1}
q0 = Starting state
q6 = Final state
Let's consider an input string, w=0101.
The machine moves from the initial state q0 to the state q1 when the first symbol is read.
Then the head moves to the right side of the tape until it encounters the '#' symbol, which is placed in the middle of the string.
At this point, the machine enters the state q2 and moves the head to the left of the tape.
The machine reads the second half of the string in reverse order until it encounters a symbol that is not equal to the corresponding symbol in the first half.
If the machine finds a mismatch, it enters the state q4, moves the head to the right, and rejects the string.
If the machine finds that all symbols match, it enters the state q3 and moves the head to the right.
The machine writes the symbol 'x' on the tape in place of the '#' symbol.
Then the machine enters the state q5, moves the head to the left, and writes the symbol 'y' on the tape in place of the '#' symbol.
Finally, the machine enters the state q6 and accepts the string.
The transition function of the machine is given below:
\(δ(q0, 0) → (q1, x, R)δ(q0, 1) → (q1, x, R)δ(q0, #) → (q4, #, R)δ(q1, 0) → (q1, 0, R)δ(q1, 1) → (q1, 1, R)δ(q1, #) → (q2, #, L)δ(q2, 0) → (q3, x, R)δ(q2, 1) → (q3, x, R)δ(q2, x) → (q2, x, L)δ(q2, y) → (q2, y, L)δ(q3, 0) → (q3, 0, R)δ(q3, 1) → (q3, 1, R)δ(q3, y) → (q5, y, L)δ(q4, 0) → (q4, 0, R)δ(q4, 1) → (q4, 1, R)δ(q4, x) → (q4, x, R)δ(q5, x) → (q5, x, L)δ(q5, y) → (q5, y, L)δ(q5, #) → (q6, #, R)\)
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A set of points which extend infinitely in both directions is called ______A. LineB. PlaneC. Line segmentD. Point
A set of points which extend infinitely in both directions is called A.) Line.
About Line in mathThe line is a collection of points that are regular and continuous and extends in two directions. The model or representation of a line, for example, is like a thread or a straight rope that can be extended in both opposite directions to infinity.
A line has only one dimension, namely length. There are several terms for a line, including: a ray, which is a line that originates at a point and the other end can be extended in an infinite direction, the second is a line segment or line segment, which is part of a line that is bounded by two endpoints, the third is a vertical line, namely upright line, and the fourth horizontal line, which is a horizontal line.
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PLS HELP ME WITH THIS ASAPP
The value of the function f(x) at x = 1.477.
f(1.477) = 32.857
The value of the function g(x) at x = 20.
g(20) = 1.729
We have,
Two functions:
f(x) = b^x
g(x) = log_b(x)
Now,
From the table,
f(0.699) = b^0.699 = 5
Taking the logarithm of both sides with base b.
log_b(5) = 0.699
b = 5^(1/0.699)
b = 8.343
Now, we can find the value of f(1.477).
f(1.477) = b^1.477 = 8.343^1.477 = 32.857
Similarly, we can find the value of g(20).
g(20) = log_b(20) = log_8.343(20) = 1.729
Thus,
The value of the function f(x) at x = 1.477.
f(1.477) = 32.857
The value of the function g(x) at x = 20.
g(20) = 1.729
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Answer questions 10 and 11 based on the information below.
The number of people who visited the local swimming pool on several days in July were recorded.
Question 10 (1 point)
Which of the following is true about the relationship between the temperature and the number of people visiting the pool?
Answer:
10. As the temperature increases the number of people increases.
Step-by-step explanation:
Because its better to go to a pool when its hot.
sry i dont know 11 :(
Answer:
10: The answer would be the first option, as the temperature increases the number of people increases
11. The answer would be the first option (18, 105)
Step-by-step explanation:
10. As you look at the chart you notice how we look further to the right the temperature increases. (found at bottom of graph) You can see on the far left it shows the amount of people who show up at the pool. With this being said, you can find the answer would be, the warmer it gets the more people show up.
11. Taking another look at the graph we can see there are a bunch of dots together and one away from them. That one would be the Outlier, or a data point away from the others. Looking at our answer options we see that (18,105) Is best fitting to the outlier because the bottom numbers go by 2's and the side go by 50's
I hope this explains how to read a chart better! <3
If 'P' and 'Q' are direct proportional , find the respective values of a, b and c in the given table.
Answer:
a. 5 b. 8 c. 100
Step-by-step explanation:
An artist was able to draw one-eighth of a picture every hour. If he needed to paint 9 pictures for an art show, how many hours would it take him?
According to the question we can say that it will take the artist 72 hours to paint 9 pictures for the art show.
If the artist can draw one-eighth of a picture in one hour, then he can draw one complete picture in 8 hours (since 8 x 1/8 = 1).
Therefore, to draw 9 pictures, the artist will need 9 x 8 = <<9*8=72>>72 hours.
So, it will take the artist 72 hours to paint 9 pictures for the art show.
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Which is equal to 6m + 2n + 2m - n?
A. 9mn
B. 8m -n
C. 8m +n
D. 10m -n
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\(C.8m + n\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The length of the hypotenuse of a right triangle is 137 units. The length of one leg of the triangle is 105. Gina wrote the following step to find the length of the unknown leg: Length of the unknown leg = 1372 − 1052 = 18,769 − 11,025 = 7,744 units Which statement best explains whether Gina's step is correct or incorrect?
A. It is incorrect because the length of the unknown side is the square root of 29,794.
B. It is incorrect because the length of the unknown side is the square root of 7,744.
C. It is correct because the length of the unknown side is the difference of the lengths of the sides.
D. It is correct because the length of the unknown side is the difference of the squares of the sides
Answer:
B. It is incorrect because the length of the unknown side is the square root of 7,744
Step-by-step explanation:
Givena = 137b = 105c = ?SolutionAs per Pythagorean theorem:
c² = a² - b²c² = 137² - 105² = 18769 - 11025 = 7744c = √7744 = 88 unitsGina's incorrect step is:
B. It is incorrect because the length of the unknown side is the square root of 7,744Answer:
it is incorrect because the length of the unknown side is the square root of 7,744.
Step-by-step explanation:
a^2 + b^2 = c^2
105^2+ b^2 = 137^2
11025+ b^2= 18769
11025-11025+ b^2 = 18769-11025
b^2= 7704
sqr b^2= sqr 7704
b=87.77243303
b=87.8 simplified
therefore,this gina is wrong because the lenght of the unknown leg is the square root of 7,744.
hope it helps.
( How far does the tip of the minute hand of a clock move in 20 minutes if the hand is 5 inches long
Answer:
3 1/3 pi inches
Step-by-step explanation:
since we know that when 20 minutes have passed, the minute hand will have moved 4 intervals (i.e. from 12 to 4), and each interval is 30 degrees by measurement. So 4 intervals have a degree measurement of 120 degrees, which is 1/3 of the whole circle (clock). since there isn't any notation on whether pi is taken as 3.14 or 22/7 or whatsoever, you can just say that it has moved (5x2)pi x 1/3 = 3 1/3 pi inches
a series is convergent if the sequence of partial sums is a convergent sequence. a series is divergent if it is not convergent.
A series is convergent when the sequence of partial sums, which are the sums of the first n terms in the series, approaches a finite limit as n approaches infinity. In other words, the series has a sum that can be found. On the other hand, a series is divergent if the sequence of partial sums does not approach a finite limit. This means the series does not have a sum. So, to determine if a series is convergent or divergent, analyze the behavior of its sequence of partial sums.
A series is a sum of the terms in a sequence. A convergent sequence is one that has a limit as n approaches infinity, meaning that the sequence approaches a specific value. Similarly, a sequence of partial sums is the sum of the first n terms of the series. If this sequence of partial sums converges to a specific value, then the series is convergent. However, if the sequence of partial sums diverges, meaning it does not approach a specific value, then the series is divergent. Understanding whether a series is convergent or divergent is important in various fields such as physics and engineering.
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an arithmetic sequence with first term $1$ has a common difference of $6$. a second sequence begins with $4$ and has a common difference of $7$. in the range of $1$ to $100$, what is the largest number common to both sequences?
The largest number common to both sequences is 67.
The arithmetic sequence with first term 1 has a common difference of 6 is given by:-
1,7,13,19, 25, 31, 37, 43, 49, 55, 61, 67, 73, 79, 85, 91, and 97
The arithmetic sequence with first term 4 has a common difference of 7 is given by:-
4,11, 18, 25, 32, 39, 46, 53, 60, 67, 74, 81, 88, and 95.
I have written the sequence until 100 only.
Hence, the numbers common to both the arithmetic sequences are :-
25 and 67
Hence, the largest number common to both sequences is 67.
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Which measurements could not represent the side lengths of a right triangle?
A 6 cm, 8 cm, 10 cm
B В
12 cm, 35 cm, 37 cm
C 4 cm, 6 cm, 10 cm
10 cm, 24 cm, 26 cm
Answer: C
Step-by-step explanation: a^2 + b^2 = c^2
A. 6^2 + 8^2 = 10^2
B. 12^2 + 35^2 = 37^2
C. 4^2 + 6^2 does not equal 10^2.....(16 + 36 = 52 10^2 = 100)
D. 10^2 + 24^2 = 26^2
The measures of the triangles 4 cm, 6 cm, and 10 cm do not represent a right angle triangle because it does not follow the Pythagoras theorem option (C) is correct.
What is a right-angle triangle?It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.
For the triangle sides:
6 cm, 8 cm, and 10 cm
From the Pythagoras theorem:
\(10^2=8^2+6^2\)
100 = 100
These sides satisfy the Pythagoras formula.
For the triangle sides:
12 cm, 35 cm, and 37 cm
From the Pythagoras theorem:
\(37^2=35^2+12^2\)
1369 = 1369
These sides satisfy the Pythagoras formula.
For the triangle sides:
4 cm, 6 cm, and 10 cm
From the Pythagoras theorem:
\(10^2=6^2+4^2\)
100 ≠ 52
These sides do not satisfy the Pythagoras formula.
For the triangle sides:
10 cm, 24 cm, and 26 cm
From the Pythagoras theorem:
\(26^2=24^2+10^2\)
676 = 676
These sides satisfy the Pythagoras formula.
Thus, the measures of the triangles 4 cm, 6 cm, and 10 cm do not represent a right angle triangle because it does not follow the Pythagoras theorem option (C) is correct.
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A chemist makes a solution of acetic acid. The chemist makes at least 2 liters and wants to store the solution in several smaller jars. One jar holds 0.5 liter, which the chemist fills completely, and the remaining jars each hold 0.35 liter.
Which inequality can be used to determine the number of smaller jars, n, the chemist needs?
A
2≤0.5n+3.52≤0.5n+3.5
B
2≥0.5n+3.52≥0.5n+3.5
C
2≤0.35n+0.52≤0.35n+0.5
D
2≥0.35n+0.52≥0.35n+0.5
Answer:
ahhhhhhhhhhhh
Step-by-step explanation:
hgyftdrseaSADFERTYUFDRES
A local charity receives 1/3 of funds raised during a craft fair and a bake sale. The total amount given to the charity was $137.45. How much did the bake sale raise?
(NEED ANSWER ASAP!!)
Answer:
$412.35
Step-by-step explanation:
Answer: $412.35
Step-by-step explanation:
$137.45 x 3 = $412.35 for the total that the bake sale raised.
Find the unknown angles
Answer:
angle COD is 35
angle BOE is 125
angle AOB is 130
Step-by-step explanation:
Sorry too late
PLEASERE TJIS IS 30 PINTS
Answer:
Step-by-step explanation:
4 I think I am not sure I’m correct
(WILL GIVE BRAINLIEST IF CORRECT)
Find the equation of the line that passes through (1,3) and is perpendicular to
y=2x+3
Leave your answer in the form
y=mx+c
Answer:
y = -1/2x + 7/2
Step-by-step explanation:
y = -1/2x + b
3 = -1/2(1) + b
3 = -1/2 + b
7/2 = b
y = -1/2x + 7/2
what is the area of trapezoid abcd with bases ab and cd
m
Answer:
what is the area of trapezoid abcd with bases ab and cd
Step-by-step explanation:
What is the slope of a line that is parallel to the line y = x + 2?
What is the slope of a line that is perpendicular to the line y = x + 5?
–2
2
Answer:
2
Step-by-step explanation:
Find the present value of a sequence of annual payments of Rs 25000 each , the first being made at the end of 5th year and the last being paid at the end of 12th year, if money is worth 6%.
The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.
1: We can use the formula to calculate the present value of the annuity:
P = A x [1 - (1+i)^-n] / i
Where
P = Present Value
A = Annuity
i = Interest Raten = Number of payments
2: Calculate the present value of each payment using the formula:
P1 = 25000 / (1.06)⁵
P2 = 25000 / (1.06)⁶
P3 = 25000 / (1.06)⁷
P4 = 25000 / (1.06)⁸
P5 = 25000 / (1.06)⁹
P6 = 25000 / (1.06)¹⁰
P7 = 25000 / (1.06)¹¹
P8 = 25000 / (1.06)¹²
3: Substitute the values into the formula to find the present value:
P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8
P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)
P = 158620.39
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pls help ! & i’ll give brainliest
Two friends went to a carnival. They rode carnival rides, played arcade games and bought
candy and snacks at several different concessions. Here is what the friends spent:
Jim spent the following on rides: $4, $3, $1, $1, $5, $2, $3, $1
Sara spent the following on rides: $1, $3, $1, $3, $2, $3, $5, $5, $1
Which person has a larger average?
Answer:
Sarah has a larger average
Step-by-step explanation:
to find the average of each person, you add how much they spent then divide by the total number of values in the set of each person.
the numbers $1, 2, 3, \dots, 8$ are used once each to form four two-digit numbers. what is the largest number of primes that could possibly be among these four numbers?
Four two-digit numbers are constructed from numbers 1, 2, 3, ..., 8. The largest number of primes that could possibly formed among those four numbers is 3 numbers.
A prime number is a whole number greater than 1 which only divisible by 1 and itself. Example of prime numbers are 2, 3, 5, 7, ...
We want to form 4 two-digit numbers from, 1, 2, 3, 4, 5, 6, 7, 8.
Recall that: other than 2, all even numbers are not prime since they are divisible by 2. Hence, from those numbers, we look at which odd two-digit numbers are prime.
We have four odd numbers in the list that can construct two-digit odd numbers: 1, 3, 5, 7.
However, two-digit numbers with 5 as its second digit is not prime since they are exactly divisible by 5.
Therefore, now we only have 3 numbers (1, 3, 7) that can construct two-digit odd numbers. Hence, the largest number of primes that could possibly formed is 3 numbers.
Example, the constructed four two-digit numbers are:
47, 53, 61, 28
47, 53, and 61 are prime, while 28 is not.
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1. Solve the equation 15a +5= 5(3-2) for a. Show your work. State whether the equation has one solution, no solutions, or infinitely many solutions. If the equation has one solution, identify that solution. If the equation has no solutions, or infinitely many solutions, justify your choice.
Answer:
Use the distributive property and it will help a lot.
Step-by-step explanation:no solution
Answer:
Zero
Step-by-step explanation:
First you do (3-2) which is one then you multiply that by five which gives you 5. Then you will subtract 5 from each side and that leaves you with 15a=0. Divide both sides and you’ve got zero