Answer:
42.857 kg
Step-by-step explanation:
Given that :
Weight of body = 420N
Recall : Weight (W) = mass(m) * acceleration due to gravity(g)
Thus ;
Mass, m = Weight, W / acceleration due to gravity
Acceleration due to gravity is a constant, g =, 9.8 m/s²
Mass = 420N / 9.8m/s²
Mass = 42.857142kg
The Choi family wants to save money to travel the world. They purchase an annuity with a monthly payment of $65 that earns 4.5% interest, compounded monthly. Payments will be made at the end of each month. Find the total value of the annuity in 11 years.
Answer:
You can get an idea of how much guaranteed lifetime income a given amount of savings will buy by going to this annuity payment calculator. Today, for example, $100,000 would get a 65-year-old man about $525 a month in lifetime income, while that amount would generate roughly $490 a month for a 65-year-old woman.
Answer: $8966.10
Step-by-step explanation:
The monthly payment with interest is 67.925. Multiply that by 12 for the 12 months in a year. You should get 815.10 as your yearly payment. And finally multiply 815.10 by 11 for the 11 years. You should get 8966.10 as your final answer. I hope this helps!
Use algebra to solve the following question
7x + 3 = -11
Answer:
x = -2
Step-by-step explanation:
7x + 3 = -11
-3 -3 subtract both sides by 3
7x = - 14
7x/7 = - 14/7 divide both sides by 7
-14/7 = -2
7.
Which of the following describes the parabola with the equation y = x2 + 2x + 1?
A.The axis of symmetry is x = 1 and the vertex is (1,4).
s
B.The axis of symmetry is x = 1 and the vertex is (1, 2).
rabolas
C.The axis of symmetry is x = 0 and the vertex is (0, 1).
as
D.The axis of symmetry is x = -1 and the vertex is (-1,0).
arabolas
The axis of symmetry is x = -1 and the vertex is (-1,0). Therefore, option D is the correct answer.
What is quadratic equation of graph?A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
The given quadratic equation is y=x²+2x+1.
From the graph axis of symmetry is x=-1
Rewrite in vertex form and use this form to find the vertex (h,k).
(-1, 0)
Therefore, option D is the correct answer.
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DUE AT 11:59 I NEED HELP NOW
Answer:
7 months
Step-by-step explanation:
I graphed it
A group of 55 football players was polled about which synthetic grass they like to play on, Chemgrass or Chemstrand. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table. A circle labeled chemstrand 15 overlaps a circle labeled chemgrass 17. Overlap is labeled 13. 4-column table with 3 rows. First column has no label with entries likes chemgrass, does not like chemgass, total. Second column is likes chemstrand with entries x, z, 28. Third column is does not like chemstrand with entries y, 10, 27. Fourth column is total with entries 30, 25, 55. What are the values of x, y, and z? x = 17, y = 15, and z = 13 x = 13, y = 15, and z = 17 x = 15, y = 13, and z = 17 x = 13, y = 17, and z = 15
Answer:
From the Venn diagram: 15 players like Chemstrand, 17 players like Chemgrass, 13 players like both Chemstrand and Chemgrass while 10 players like neither Chemstrand nor Chemgrass.
The missing values in the frequency table are x - representing the number of players that like both Chemstrand and Chemgrass, y - representing the number of players that like Chemgrass but do not like Chemstrand and z - representing the number of players likes Chemstrand but do not like Chemgrass.
The number of players that like both Chemstrand and Chemgrass is 13. The number of players that like Chemgrass but do not like Chemstrand is 17. The number of players likes Chemstrand but do not like Chemgrass is 15.
Therefore, x = 13, y = 17 and z = 15
The values of x, y, and z from the Venn diagram are:
x = 13, y = 15, and z = 17.
What is a Venn diagram?A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.
We have,
From the Venn diagram, we can see that:
The total number of players who like Chemgrass is 17 + 13 = 30.
The total number of players who like Chemstrand is 13 + 15 = 28.
The total number of players who do not like Chemgrass is 10 + 13 = 23.
The total number of players who do not like Chemstrand is 10 + 17 = 27.
The total number of players is 55.
Now,
We can fill in the missing values in the frequency table using the information above:
The value of x (the number of players who like both Chemgrass and Chemstrand) is the overlap between the two circles, which is 13.
The value of y (the number of players who like Chemstrand but not Chemgrass) is the number of players who like Chemstrand (28) minus the number of players who like both (13), which is 15.
The value of z (the number of players who like Chemgrass but not Chemstrand) is the number of players who like Chemgrass (30) minus the number of players who like both (13), which is 17.
Therefore,
The values of x, y, and z are x = 13, y = 15, and z = 17.
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Anybody know the Explicit definition?
Answer:
of??
what word- you posted nothing
To calculate occurrence (i.e., scored interval) interobserver agreement, divide the:_______
Answer: Number of intervals in which no occurrence was reported for both observers by the number of intervals in which no occurrence was recorded by at least one observer (x 100)
Step-by-step explanation:
To calculate occurrence, the formula to be used is The Number of intervals in which at both observers recorded no occurrence, divided by the number of intervals in which at least one observer recorded no occurrence (x 100).
This would give us the accurate answer for occurrence.
Alexander reads 1/ 8
of a book each night. How long will it take him to read 3/ 4 of the book?
Dimitri scored 44% of the points in two person basketball game against another team. His partner scored the rest of the points . If dimitri scored 22 points how many points did his partner score
Dimitri and his partner scored a total of points during the game so his part scored points
Answer:
28
Step-by-step explanation:
44/100×x=22
x=50
x=total goals scored
50-22=28
Dimitri and his partner scored a total of points will be are 50. So, his part scored points will be 28.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
Dimitri scored 44% of the places in a two-man b-ball game against another group. His accomplice scored the other focuses. On the off chance that Dimitri scored 22 focuses the number of focuses that did his accomplice score.
Let 'x' be the total scored. Then the equation is given as,
44% of x = 22
0.44x = 22
x = 50
The points scored by his partner will be given as,
⇒ 50 - 22
⇒ 28
Dimitri and his accomplice scored a sum of focuses will be 50. In this way, his part scored focus will be 28.
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Using the Multiplicative Inverse Property, what is the missing number in the following equation?
______ * 7/4 = 1
-7/4
4/7
7/4
-4/7
Answer:
7/4
Step-by-step explanation:
[tex]x\cdot \frac{7}{4}=1\\\\x\cdot \frac{7}{4}\cdot \frac{4}{7}=1\cdot \frac{4}{7}\\\\x\cdot 1 = \frac{4}{7}\\\\x=\frac{4}{7}[/tex]
Answer:
The answer is [tex]\frac{4}{7}[/tex].
Step-by-step explanation:
Due to the end result being 1, we can sufficiently say it is neither -7/4 nor -4/7, due to a positive number multiplied by a negative number always equating to a negative number.
Therefore, using the Multiplicative Inverse Property, we can find the result by dividing 1 over [tex]\frac{7}{4}[/tex]:
[tex]\frac{1}{\frac{7}{4}}[/tex]
[tex]= \frac{4}{7}[/tex]
Hence, the answer is [tex]\frac{4}{7}[/tex].
Hope this helped!
Which of the following represents a relation that is not a function?
A.
x -7 -5 -7 1
y 33 31 39 33
B.
x 8 -5 13 -7
y 33 31 39 33
C.
x -7 -5 -1 1
y 33 31 39 33
D.
x -7 -5 8 13
y 33 31 39 33
Answer:
C.
x -7 -5 -1 1
y 33 31 39 33
Step-by-step explanation:
think so
2. Which equation shows the slope-intercept form of the line passing through
(0, 1) and (2, 0)?
A. y = -2X+1 B. y = x-1 C. y = 2X - 1 D.y=- x + 1
The y-intercept of the equation x + 2y = 18 is 9.
True
False
If I'm correct, it's true.
Choose the category of transformation related to the following statement:
Answer:
rigid
Step-by-step explanation:
Elena biked 8 miles on saturday. On saturday, she biked 75% of her distance, how far was that?
Answer:
6 miles
Step-by-step explanation:
75% = [tex]\frac{3}{4}[/tex], so that means she biked 8·[tex]\frac{3}{4}[/tex] which is 24/4 = 6
Answer:
6 miles
Step-by-step explanation:
75/ 100 x 8= 3/4 x 8=6 miles
25 x 130 is the same as
Answer:
ANY OF THESE
Step-by-step explanation:
1 x 3250 = 3250
2 x 1625 = 3250
5 x 650 = 3250
10 x 325 = 3250
13 x 250 = 3250
25 x 130 = 3250
26 x 125 = 3250
50 x 65 = 3250
65 x 50 = 3250
125 x 26 = 3250
130 x 25 = 3250
250 x 13 = 3250
325 x 10 = 3250
650 x 5 = 3250
1625 x 2 = 3250
3250 x 1 = 3250
The multiplication exercise involving 25 x 130 is the same as; 3250.
According to the question;
we are required to determine an equivalent of 25 x 130.By step by step evaluation,
25 × 130 = 25 (100 + 30)= 2500 + 750= 3,250Upon multiplication of 25 by 130; the result yields 3250.
Consequently, we can say 25 x 130 is the same as; 3250
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A Lexus can drive 15 miles per gallon of gas. How many
gallons of gas would the car need to go 225 miles?
HELPPP
Answer:
15 gallons
Step-by-step explanation:
225 divided by 15 is 15
A box of 15 cookies costs $9. how much is one cookie?
Answer:
$0.6
Step-by-step explanation:
Divide 9 with 15, 9/15 = 3/5 = 0.6
I need help with my math please help ASAP.
Answer:
1 =30 km
1/3=7,5 km
5=150
Im not sure tho but should be fine
Answer:
1 =30 km 1/3=7,5 km5=150
Step-by-step explanation:
Max invests some money in a savings bond.
The savings bond pays interest at a rate of 2% per year.
At the end of the first year, his savings bond is worth £5763
(b) How much money did Max invest in the savings bond?
Answer:
£5650
Step-by-step explanation:
The money max invested in the saving bond = x
After one year the intrest will be 2% of x
Amount = £5763
Amount = Principcal + Interest
= £5763 = x + 2% multiplied x
£5763 = x + 2x/100
= 50x/50 + x/50 = 5763
= 51x/50 = £5763
51x = 5763x50
51x = 288, 150
x = 288,150/51
x = 5650
So the money max invested = £5650
PLEASE HELP PLEASE!!!!
Energy is the ability to do work or cause a change in something.
Group of answer choices
True
False
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
It’s the definition of energy
Which one of these is NOT a step used when constructing an inscribed hexagon using technology? (5 points)
Connect the point with a line through the center of the circle.
Mark the points of intersection between the two circles.
Create another circle with the same radius as the original.
Create a circle using the center with given point tool.
Answer:
the answer is A, connect the point with a line through the center of the circle
Step-by-step explanation:
Create another circle with the same radius as the original. Technology doesn't require this step. Lines, intersections, and circles with the centre and provided point are the steps.
When building an inscribed hexagon with technology, this step is skipped: Make a circle with the same radius as the first.
The following steps are used to build an inscribed hexagon: Create a circle using the centre with a point tool to illustrate the circumscribed circle.
Connect the point with a line through the circle's centre to create its diameter.
Mark the intersections of the two circles (the hexagon's vertices).
Form the inscribed hexagon by connecting the marked spots.
The typical method for building an inscribed hexagon does not involve making a circle with the same radius.
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Which of the following expressions result in −4? Select three that apply. A −20⋅0.2 B −6⋅1.5 C −24⋅82 D −13⋅242 E 52⋅(−85) F 4⋅(−114)
Answer:
Which of the following expressions result in −4? Select three that apply. A −20⋅0.2 B −6⋅1.5 C −24⋅82 D −13⋅242 E 52⋅(−85) F 4⋅(−114)
Step-by-step explanation:
F 4-(-114)
Answer:
F 4-(-114)
Step-by-step explanation:
write down properties of Square, Rectangle and Triangle with diagram.
Answer:
The answer is below
Step-by-step explanation:
Some of the Properties of a Triangle:
1. All interior angles combined is 180°
2. It has three sides, three angles, and three vertices
3. The combined length of any of the two sides is higher than the third sides
Some of the Properties of a Square
1. It has four sides and they are all equal
2. Each of its angles is at 90°
3. Its diagonals are equal
4. The diagonals bisect at 90°
Some of the Properties of a Rectangle
1. It has opposing sides that are parallel and equal to each other
2. Each of the interior angles is at 90°
3. The length of the diagonals is equal
4. It is quadrilateral
Need help ASAP 20 points
Answer:
It is D.
Step-by-step explanation:
Hoped this helped have an amazing day!
Identify the graph of ƒ(x) = x2 + 6x – 7 from the choices below.
f(x) = x^2 + 6x - 7
y = x^2 + 6x - 7
y = (x - 1)(x + 7)
x + 7 = 0
x = -7
x - 1 = 0
x = 1
The x-intercepts are -7 and 1.
Since the leading coefficient is a positive, the graph will point upwards.
So, the graph of the function is D.
Answer:
Graph B. is correct
Step-by-step explanation:
Evaluate the following expression. -24/-3 - (-2)
Answer:
=10
Step-by-step explanation:
Find the number that makes the ratio equivalent to 1:3.
4:_____
12 or 13 or 9 or 11
PLEASE HELP ASAP WILL GIVE BRAINLEIST
In triangle QRS, ∠Q and ∠S have the same measure. If m∠R = 58°, find the measures of ∠Q and ∠S. WORK PLEASE!!!
Carlos graphed f(x) = -3x + 8 and g(x) = 7x - 2 on
a coordinate plane. What is the solution of the functions?
1
1.5
3
5
Step-by-step explanation:
When f(x) = g(x), -3x + 8 = 7x - 2.
=> 10x = 10, x = 1.
The solution of the functions is 1.
The solution to functions f(x) = -3x + 8 and g(x) = 7x - 2 graphed by Carlos is x = 1
The given functions graphed by Carlos are:
f(x) = -3x + 8
g(x) = 7x - 2
The solution to the functions is the point where the two functions intersect on the graph
To get the point where the two functions intersect, equate f(x) and g(x).
That is, f(x) = g(x)
-3x + 8 = 7x - 2
Collect like terms:
7x + 3x = 8 + 2
10x = 10
Divide both sides by 10
10x / 10 = 10/10
x = 1
The solution to functions f(x) = -3x + 8 and g(x) = 7x - 2 graphed by Carlos is x = 1
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