Answer:
5/4
Step-by-step explanation:
Rise/Run
5/4
Andrew is showing his work in simplifying −4.5 + 4.2 + 5.6 − 7.3. Identify any errors in his work or in his reasoning.
Step Work Reasoning
−4.5 + 4.2 + 5.6 − 7.3 Original problem
1 −4.5 + 4.2 + 5.6 + (−7.3) Additive inverse
2 −4.5 + (−7.3) + 4.2 + 5.6 Commutative property
3 [−4.5 + (−7.3)] + (4.2 + 5.6) Associative property
4 −11.8 + 9.8 Simplify
5 −21.6 Simplify
Step 1: He wrote −7.3 incorrectly as + (−7.3).
Step 2: He identified changing the order of the numbers as the commutative property, which is incorrect.
Step 3: He identified changing the grouping of the numbers as the associative property, which is incorrect.
Step 5: He simplified incorrectly.
Answer:
5.
Step-by-step explanation:
He simplified incorrectly:
-11.8 + 9.8 = -2, not -21.6.
A sports ball has a diameter of 27 cm. Find the volume of the ball. cm.) Round your answer to the nearest tenth if necessary.
Use the distributive property to remove the parentheses.
2x+(6x2-9)
Simplify your answer as much as possible.
After removing the parentheses using the distributive property, the expression [tex]2x^4 (6x^2 - 9)[/tex] simplifies to [tex]12x^6 - 18x^4.[/tex]
We have,
To remove the parentheses using the distributive property, we need to multiply each term inside the parentheses by the term outside the parentheses.
Applying the distributive property to the expression [tex]2x^4 (6x^2 - 9),[/tex] we have:
[tex]2x^4 * 6x^2 - 2x^4 * 9[/tex]
Multiplying the terms:
[tex]12x^6 - 18x^4[/tex]
Therefore,
After removing the parentheses using the distributive property, the expression [tex]2x^4 (6x^2 - 9)[/tex] simplifies to [tex]12x^6 - 18x^4.[/tex]
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Help, Ill give extra points too!
Answer:
(-6,-18) & (2,6) -----------> 3
(12,6) & (-4,-2) -----------> [tex]\frac{1}{2}[/tex]
(5,-19) & (6,-23) ----------> -4
(3,4) & (3,9) ---------------> unidentified
(1,-10) & (2,-15) -----------> -5
(-1,8) & (3,8) ---------------> 0
(0,0) & (21,14) -------------> [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Use this formula to find all of these slopes.
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Graph a line with a slope of 4 that contains the point (3,0).
Hi there!
Recall that slope-intercept form is:
y = mx + b
Where m = slope
In this instance, we are given a slope of 4, therefore:
y = 4x + b
Substitute in the x and y coordinates of the point given:
0 = 4(3) + b
0 = 12 + b
Subtract 12 from both sides:
-12 = b
Therefore, the equation would be:
y = 4x - 12
Graph the equation by finding x and y values or using a calculator:
x = 0, y = 4(0) - 12 = 12 (0, 12)
x = 1, y = 4(1) - 12 = -8 (1, -8)
x = 2, y = 4(2) - 12 = -4 (2, -4)
x = 3, y = 4(3) - 12 = 0 (3, 0)
And so forth:
To graph a line passing through a point (3, 0) and slope 4, we will find the equation of the line first.
Since, equation of a line passing through a point (h, k) and slope 'm' is given by,
y - k = m(x - h)
Therefore, equation of a line passing through (3, 0) and slope 4 will be,
y - 0 = 4(x - 3)
y = 4x - 12
For y-intercept put x = 0 in the equation,
y = 4(0) - 12
y = -12
For x-intercept put y = 0 in the equation,
0 = 4x - 12
x = 3
Therefore, line will intersect x-axis at (3, 0) and y-axis at (0, -12).
By joining these points we can find the graph of the line passing through (3, 0) and having slope = 4.
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Kara earned $136.75 last week working 16 hours. She earned $10.50 per hour at the fast food restaurant and $4.25 per hour helping her aunt clean her store.
How many hours did she work at the fastest food restaurant? How many hours did she help her aunt clean the store? In your response make sure to:
Create a model that can be used to determine the number of hours Kara worked at each job.
Define your variables.
Show all your work.
Answer:
First we are going to try to find how many hours she worked on the fast food restaurant so you multiply 4.25 time 16 and x
10.50x + 4.25(16-x) =136.75
10.50x + 68 - 4.25x= 136.75
Then, you subtract 68 from both sides and subtract 4.25x from 10.50x
6.25x=68.75
Divide
X=11 that is how many hours she worked at the FAST FOOD RESTAURANT
Then 16-11 and that gives us how many hours she helped her aunt.
ANSWER: she worked 11 hours at the fast food restaurant and 5 hours helping her aunt
Step-by-step explanation:
Here, we are required to determine how many hours Kara worked at the fastest food restaurant and how many hours did she help her aunt clean the store.
The number of hours worked by Kara in the restaurant is; 11hours.The number of hours worked by Kara in the restaurant is; 11hours.The number of hours worked by Kara in her aunt's store is; 5hours.First, we need to create a model for the work done and how much she earned.
Total earnings = $136.75Total hours worked = 16 hoursLet hours worked at the restaurant = xLet hours worked at the store = (16-x)Hourly rate at restaurant = $10.50Hourly rate at store = $4.25The model is therefore in the form;
$10.50(x) + $4.25(16-x) = $136.75
To determine the no. of hours worked at the fast food restaurant, we have to evaluate the value of x.
Therefore;
10.50x + 68 - 4.25x = 136.756.25x = 68.75x = 11
The number of hours worked by Kara in the restaurant is; 11hours.
The number of hours worked by Kara in her aunt's store is; (16 - 11) hours = 5hours.
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PLEASE HELP ITS PRE CALC LUV U
Answer:
Option A: -2≤x<-1
Step-by-step explanation:
Then select graph a
Answer: Anyway, option A.
Step-by-step explanation:
Can someone pls help me this it’s due in an hour but I can’t figure it out
Answer: I do believe that it is that the smooth shape is the dominate and the wrinkled is the resistive.
Step-by-step explanation:
read the the following question
Answer:
11 (answer c)
Step-by-step explanation:
you need to find LCD and then combine
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{7}{8} \div \frac{1}{8} + {2}^{2} = \\ [/tex]
[tex]( \frac{7}{8} \times 8) + {2}^{2} = \\ [/tex]
[tex]7 + 4 = 11[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
c. What is the major drawback of using the recursive rule?
Answer:
Use of recursion in an algorithm has both advantages and disadvantages. The main advantage is usually the simplicity of instructions. The main disadvantage is that the memory usage of recursive algorithms may grow very quickly, rendering them impractical for larger instances.
Answer:
uses more memory
recursion can be slow
4. If m3 = 54°, find the measure of each missing angle
Answer:Answer/Step-by-step explanation:
Given that m<3 = 54°
a. <1, <2, and <3 are angles on a straight line. They add up to 180°.
m<3 is given as 54°, m<2 = 90°, therefore,
m<1 = 180 - (54 + 90) = 180 - 144
m<1 = 36°
b. <2 is indicated as a right angle. Therefore, m<2 = 90°
c. <1 and <4 are vertical opposite angles. Vertical angles are congruent, since m<1 = 36°, therefore, m<4 = 36°
d. <5 and <2 are vertical opposite angles. m<2 = m<5, therefore, m<5 = 90°
e. <6 and <3 are vertical opposite angles. m<3 = m<6, therefore, m<6 = 54°
f. m<7 + m<6 = 180° (same side interior angles are supplementary)
m<7 = 180 - m<6
m<7 = 180 - 54
m<7 = 126°
g. m<7 + m<8 = 180° (linear pair)
126° + m<8 = 180
m<8 = 180 - 126
m<8 = 54°
h. m<9 = 180 - m<8 (linear pair)
m<9 = 180 - 54
m<9 = 126°
i. m<10 = m<8 (vertical angles)
m<10 = 54°
j. m<11 = m<4 (alternate interior angles are congruent)
m<11 = 36°
k. m<12 = 180 - m<11 (linear pair)
m<12 = 180 - 36
m<12 = 144°
l. m<13 = m<11 (vertical angles)
m<13 = 36°
m. m<14 = m<12 (vertical angles)
m<14 = 144°
Step-by-step explanation:
Answer:
A. M<1 = 36°
B. M<2= 90°
C. M<4= 36°
D. M<5= 54°
E. M<6= 54°
F. M<7= 126°
G. M<8= 54°
H. M<9= 126°
I. M<10 = 54°
J. M<11 = 36°
K. M<12 = 144°
L. M<13= 36°
M. M<14 = 144°
Your welcome
What is the constant proportionality in the table below?
Answer:
1/2
Step-by-step explanation:
Y is half as large as x. I cant see the options but I know that 10/2=5, 6/2=3 and so on so i would go with 1/2
please answer this and look at the photo for info, and read below for to understand the math problem!
Write an equation that shows the pattern in the table/photo. Use the equation to find how many hours will it take Martina to earn $518 to buy a new phone. Please show your steps and write long.
Answer:
Equation: [tex] y = 14x [/tex].
It would take Martina 37 hours to earn $518
Step-by-step explanation:
✍️An equation that shows a proportional relationship between the time she spends babysitting (x) and amount of money she earns for babysitting (y) can be represented as [tex] y = kx [/tex], where k = constant of proportionality.
Let's find k using any of the pairs given in the table of values. Let's use (1, 14).
Substitute x = 1, and y = 14 into [tex] y = kx [/tex], and find k.
[tex] 14 = k(1) [/tex]
[tex] 14 = k [/tex]
Substitute k = 14 into [tex] y = kx [/tex].
✅The equation would be:
[tex] y = 14x [/tex].
✍️Using the equation, we can find how many hours Martina needs to work in order to earn $518 she wants to use to buy a new phone.
Simply, substitute y = 518 in [tex] y = 14x [/tex].
[tex] 518 = 14x [/tex]
Divide both sides by 14
[tex] \frac{518}{14} = x [/tex]
[tex] 37 = x [/tex]
✅Thus, it will take Martina 37 hours to earn $518
helppp
i will mark the crown
please do all
Answer:
Answer is C
Step-by-step explanation:
the product of x and y squared
Answer:
(xy)^2
Step-by-step explanation:
A car traveled 480 miles in 4 hours. If its speed was 12 mph faster, what distance would it have traveled in 4 hours?
Answer:
528 miles
Step-by-step explanation:
First, we need to figure out how many miles it drives in 1 hour:
480 divided by 4 = 120
now, we add 12 to 120: 120 + 12 = 132
132 x 4 = 528
hope this helped have a great day/night!! :'')
Need help right now, big points
1, I thought of a two-digit number. The unit digit of my number is a prime number, and the tens digit is four times as big as the unit digit. What is my number?
2,I thought of a two-digit number. The digits of my number are different. The unit digit of my number is the tens digit raised to the third power. What is my number?
3,I thought of a two-digit number. The unit digit of my number is 7 more than the tens digit cubed. What is my number?
4. I thought of a three-digit number. Each digit to the left is the square of the previous digit. What is my number?
(Answer all the questions please, thank you very much!)
Answer:
1) 82
2) 28
3) 18
4) 111
Step-by-step explanation:
1) a two digit number can be written as:
N = b*10 + c*1
where b and c must be single digit numbers
in this case, c is a prime number, and b = 4*c
The prime numbers are:
2, 3, 5...
if c = 2, then:
b = 4*2 = 8
And the two digit number is: 82.
if c = 3, then:
b = 4*3 = 12, and this leads to a 3 digit number.
And for any large value of c, b will not be a single digit number, then the only option here is 82.
2) same as before:
N = b*10 + c
c = b^3.
c ≠ b
Let's give different values for b, and see what happens.
b can not be zero, because that will lead to a single digit number, then we start with one.
b = 1 ----> c = 1^3 = 1 ----> (c = b, then this is not our number)
b = 2 ----> c = 2^3 = 8, then:
N = 2*10 + 8 = 28.
if b = 3 ----> c = 3^3 = 28 (this is not a single digit number, then any value of b equal or larger than 3 does not work)
The only solution here is 28.
3) Same as before:
N = b*10 + c
c = b^2 + 7.
Same approach as before, let's give different values to b and see which one works:
b = 1 ----> c = 1^2 + 7 = 8
N = 1*10 + 8 = 18.
b = 2 ---> c = 2^2 + 7 = 4 + 7 = 11 (This is a two digit number, then any value of b equal or larger than 2 can be discarded)
The only option here is 18.
4) Now we have:
N = a*100 + b*10 + c.
where:
b = c^2
a = b^2.
Now let's give values to c. (here we can start with zero).
if c = 0 , then: b = 0^2 = 0, then: a = 0^2 = 0.
Then N = 0*100 + 0*10 + 0 = 0 (this is not a 3 digit number)
if c = 1, then: b = 1^2 = 1, then: a = 1^2
N = 1*100 + 1*10 + 1 = 111
If c = 2, then: b = 2^2 = 4, then: a= 4^2 = 16 (here a is not a single digit number, then values of c equal or larger than 2 can be discarded)
The only correct option here is 111.
Are the following 2x2 matrices inverses or not?
1 ㅔ
1 2 & 0 1
30
2 -1
Answer: A . Not all 2 × 2 matrices have an inverse matrix. If the determinant of the matrix is zero, then it will not have an inverse; the matrix is then said to be singular. Only non-singular matrices have inverses.
Step-by-step explanation:
70 POINTS Please answer the questions, it would help a lot.
You did not give 70 points, that was just 35 points
I didn't grasp this topic too well. can someone help me?
Answer:
2 hours
Step-by-step explanation:
I'm pretty sure its 2 hrs. If she did not take any breaks, she would have made it in 2 hrs due to her taking a 2 hr break. If its not 2 hours, its 3. But I am 99% sure its 2 hrs.
Raia purchases a new car for $32,000 and
finances it with a 6-year simple interest
loan at a rate of 4.25%. What are Raia’s
monthly car payments?
Select the story problem that this division problem represents. 3/4 / 1/5. Please help I will give brainliest, thanks!
Answer:
The answer is b
Step-by-step explanation:
To find the length of the mosaic, we need to use the area divided by width which is 3/4 / 1/3
What is the exact value of sin(75°)?
Step-by-step explanation:
sin 75°: Now using the formula for the sine of the sum of 2 angles, sin(A + B) = sin A cos B + cos A sin B, we can find the sine of (45° + 30°) to give sine of 75 degrees.
Answer:
D.)
Step-by-step explanation:
Edge
Evan's favourite hobby is origami. He plans to make 100 paper cranes to hang from the ceiling of his bedroom. Yesterday, he made 28 paper cranes in 4 hours. Today, he made 21 paper cranes at the same rate.
How long did Evan spend making paper cranes today?
Answer:
it took him 3 hours
Step-by-step explanation:
28 divideed by 4= 7
21divided by 7=3
The equations y = tan^2 (x) and y = 1 are graphed below. According to the graphwhich of the following is part the solution to the trigonometric inequality tan^2 (x) < 1 over the interval 0 <= x <= 2pi radians?
Answer: a
Step-by-step explanation:
just took test edg2020
The part of the solution of the equation that lies in the solution region of the inequality is x = π/6, the correct option is A.
What is an Inequality?An Inequality is a statement that is formed when two expressions are joined using an inequality operator.
The equation is
y = tan²x
y = 1
the inequalities are
tan²x < 1 ( 0≤ x ≤ 2π)
The graph of the system of equations and the inequality is plotted, and attached with the answer.
The answer can be seen as x = π/6.
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[PICTURE] please answer all questions 1-5 ASAP thanks! FOR 20 PTS!!
Answer:
bellnshaped i think
Step-by-step explanation:
X to the second power plus 3x - 4=6
Answer:
answer is 2
Step-by-step explanation:
Answer:
x^2+3x-4=6
Step-by-step explanation:
first you add the x
Assessment
D. Fibonaces
2. The geometne sequences below has a common ratio of -2. except:
A32, 16, S. B*8. 16, 32 2. 4.-8.16 D. 3.-6. 12. 24
3. What is the common rate of the sequence 1000, 1000, 100, 10, 12
A
B 10
C 100
D. 1000
1.3,
4. Which of the following sequences illustrates arithmetic sequence?
-5. 0, 5, 10, 15.
3. 9. 27. 81.243,
IV. 4.1. -2.-5.-8.
AI and I
C II and III
B. I and IV
DI and IV
5. Which of the following does NOT belong to the group?
4.5. -10. 20.0
C 18. 15. 12.9
B-5. -10, -15, -20
D. 2. 4. 6,8
6. In the geometric sequence what is the next term?
A
B. 3
C.
D. 729
8
1). c
2). a
3). a **
4). d
5). a
6). c
** Question #3 has a typo (a typographical error, a misprint, an error, a mistake, a blunder, an oops, an owee) on the question sheet. The first number of the sequence should be 10,000 instead of 1000 .
1. If a sequence has a common ratio, it is called: C. Geometric Sequence
2. The sequence that does not have a common ratio of -2 is: A. -32, 16, -8, 4
3. The common ratio of 10,000, 1,000, 100, 10, 1 is: [tex]\mathbf{A. \frac{1}{10}}[/tex]
4. The sequences that are arithmetic sequence are:
D. I and IV.
5. The sequence that does not belong to the group is: A. 5, -10, 20, -40.
6. The next term of the geometric sequence is: C. [tex]\frac{1}{729}[/tex]
Recall:
In an ordered list of numbers, if each next term is found by multiplying the previous term by a constant known as the common ratio (r), the sequence is referred to as Geometric sequence.For an arithmetic sequence, the next term is found by adding a constant to the previous term. The constant added is referred to as the common difference.1. Therefore, if a sequence has a common ratio, it is called: C. Geometric Sequence
2. Common ratio = next term / previous term
The sequence, -32, 16, -8, 4 has the following common ratio which is not -2:
[tex]\frac{4}{-8} = \frac{-8}{16} = \frac{16}{-32} = -\frac{1}{2}[/tex]
The common ratio is: [tex]-\frac{1}{2}[/tex]
Therefore, the sequence that does not have a common ratio of -2 is: A. -32, 16, -8, 4
3. Find the common ratio of: 10,000, 1,000, 100, 10, 1
Common ratio = next term / previous term
Thus:
Common ratio = [tex]\frac{1}{10} = \frac{10}{100} = \frac{100}{1,000} = \frac{1,000}{10,000} = \frac{1}{10}[/tex]
Therefore, the common ratio of 10,000, 1,000, 100, 10, 1 is: [tex]\mathbf{A. \frac{1}{10}}[/tex]
4. An arithmetic sequence is an ordered list whereby the next term is gotten by adding a constant to the previous term.
Simply put, the ordered list of numbers has a difference between each terms.
To find the common difference, subtract the previous term from the next term.
Thus:
-5, 0, 5, 10, 15 would have the following common difference:
0 - (-5) = 5
5 - 0 = 5
10 - 5 = 5
15 - 10 = 5
Also:
4, 1, -2, -5, -8 would have the following common difference:
1 - 4 = -3
-2 - 1 = -3
-5 -(-2) = -3
-8 -(-5) = -3
Therefore, the sequences that are arithmetic sequence are:
D. I and IV.
5. The sequence, 5, -10, 20, -40, is a geometric sequence, that is it has a common ratio as shown below:
Common ratio = [tex]\frac{-40}{20} = \frac{20}{-10} = \frac{-10}{5} = -2[/tex]
The rest of the sequence in the answer choices have a common difference and are arithmetic sequences except 5, -10, 20, -40.
Therefore, the sequence that does not belong to the group is: A. 5, -10, 20, -40.
6. To find the next term in the geometric sequence, [tex]\frac{1}{9}, \frac{1}{27}, \frac{1}{81}, \frac{1}{243}[/tex], find the common ratio.
Then multiply it by the last term to get the next term in the sequence.
Common ratio = Next term / previous term
[tex]= \frac{1}{27} \div \frac{1}{9} \\\\= \frac{1}{27} \times \frac{9}{1} \\\\= \frac{1 \times 9}{27 \times 1}\\\\= \frac{9}{27} \\\\= \frac{1}{3}[/tex]
Multiply [tex]\frac{1}{3}[/tex] by [tex]\frac{1}{243}[/tex] to get the next term:
[tex]\frac{1}{243} \times \frac{1}{3} = \frac{1 \times 1}{243 \times 3} \\\\= \frac{1}{729}[/tex]
Therefore, the next term of the geometric sequence is: C. [tex]\frac{1}{729}[/tex]
In summary,
1. If a sequence has a common ratio, it is called: C. Geometric Sequence
2. The sequence that does not have a common ratio of -2 is: A. -32, 16, -8, 4
3. The common ratio of 10,000, 1,000, 100, 10, 1 is: [tex]\mathbf{A. \frac{1}{10}}[/tex]
4. The sequences that are arithmetic sequence are:
D. I and IV.
5. The sequence that does not belong to the group is: A. 5, -10, 20, -40.
6. The next term of the geometric sequence is: C. [tex]\frac{1}{729}[/tex]
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Given f(x)=2x+5 find f(3)
answer choices are:
1. ) 28
2.) -28
3.) 11
4.) 6x+5
5.) 5
Answer:
3.) 11
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
f(x) = 2x + 5
f(3) is x = 3
Step 2: Solve
Substitute: f(3) = 2(3) + 5Multiply: f(3) = 6 + 5Add: f(3) = 11Look at this coordinate plane
Which equation can be used to find the y-coordinate of point B?
y/1=23
y/2=56
y−1/2=4/6
y−1/2=y−5/4
Answer:
Hrmm
Step-by-step explanation: