Answer:
1. 18
2. 15
3. Symmetric Property
Step-by-step explanation:
1. 8 + 10 = 18
2. Following symmetric prop. of eq. would mean that since 8 + 10 = 15 + 3 and 8 + 10 = 18, 15 + 3 = 18 as well
3. Symmetric Property of Equality states that if a = b, then b = a
Does the set of points represent a function? Explain.
4.
What would be the purchase price for a $5,000, 91-day T-bill paying 3%
interest?
a. $4,925.00
b. $4,962.50
C. $5,000.00
d. $5,037.50
Answer:
B
Step-by-step explanation:
A = P(1+i/n)^t
5000 = P(1+0.03/(361.3/91)^1 361.3 ??? it worked
P = 5000/1.007556048
P = $4962.50309
the 91 day T-bill confused by financial calculator which got $4962.78 for a quarterly compound interest rate
Pedro throws a ball upward at a rate of 20 meters per
second from an initial height of 2 meters. The height
of the ball above the ground can be approximated by
h = -512 + 20t + 2, where t represents the amount of time,
in seconds, since the ball has been released.
What is the maximum height that the ball reaches?
Answer:
The maximum height that the ball reaches is of 3.96 meters.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
In this question:
The height after t seconds is given by:
[tex]h(t) = -51t^2 + 20t + 2[/tex]
Which is a quadratic equation with [tex]a = -51, b = 20, c = 2[/tex]
What is the maximum height that the ball reaches?
This is [tex]h_v[/tex].
[tex]\Delta = b^2-4ac = 20^2 - 4(-51)(2) = 808[/tex]
[tex]y_{v} = -\frac{\Delta}{4a} = -\frac{808}{4(-51)} = 3.96[/tex]
The maximum height that the ball reaches is of 3.96 meters.
A store sells shirts.
• The store has 72 shirts.
• 25% of the shirts are green.
of the green shirts have stripes.
How many shirts are green and have stripes?
Answer:
54are green and have strips
Step-by-step explanation:
72=100% of the total number of shirts
25%=18 shirts
so that means 18 shirts are green
72-18=54
so 54 striped green shirts.
look at pic 10 pts will mark brainilest
Answer:
A) The width is 12 cm; the average time is 3 minutes
Step-by-step explanation:
[tex]\frac{5}{3}= \frac{20}{y}[/tex]
Cross multiply.
5 × y = 3 × 20
5y = 60
5y ÷ 5 = 60 ÷ 5
y = 12
The width is 12 cm. Moving onto the time.
[tex]\frac{12}{4} =\frac{y}{1}[/tex]
Cross multiply.
4 × y = 12 × 1
4y = 12
4y ÷ 4 = 12 ÷ 4
y = 3
The time is 3 minutes.
Answer:
answer is d sorry if I'm wrong
Is the first one correct and what are the ages? Thanks
Answer:
a = 30°
Step-by-step explanation:
We need to find the value of a.
We know that, a straight line makes an angle of 180°.
In this case,
a+3a+2a = 180
6a = 180
a = 30°
So, the value of a is equal to 30°.
A square has an area of 148.84m2.
Work out the perimeter of the square
Answer:
48.8m
Step-by-step explanation:
Formula for square area = [tex]a^{2}[/tex] = 148.84 [tex]m^{2}[/tex]
=> a = [tex]\sqrt{148.84}[/tex] = 12.2
Formula for square perimeter = 4a = 4 x 12.2 = 48.8 m
The perimeter of the given square is 48.8 m.
What is perimeter of a square?The perimeter of any closed geometrical object is defined as the distance around that object. The perimeter of a square is the distance covered by its four sides. Perimeter surrounds or outlines the shape in a two-dimensional plane.
Since all the sides of a square are equal, therefore, the perimeter of square will be 4 times its side, i.e. 4 × Side. It is measured in units, such as m, cm, in, ft, etc.
According to question,
Given area of a square = 148.84 m²
We all know that,
Area of a square = (Side)²
⇒ (Side)² = 148.84 m²
⇒ Side = √(148.84 m²)
⇒ Side = 12.2 m
Therefore, perimeter of the given square = 4 × Side
= 4 × 12.2
= 48.8 m
Hence the perimeter of a square = 48.8
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2). The scale factor of two regular octagons is 52. Find the ratio of their
perimeters and the ratio of their areas, *
Answer:
Step-by-step explanationBy definition we have that the area of a regular octagon is:
A = 4.83L ^ 2
Where, L is the length of the octagon side.
the similarity ratio = the area ratio.
We have then:
similarity ratio = (50) / (18) = 25/9.
the ratio of the perimeters
A1 = 4.83L1 ^ 2
L1 ^ 2 = A1 / 4.83
L2 ^ 2 = A2 / 4.83
L1 ^ 2 / L2 ^ 2 = A1 / A2 = 25/9
L1 / L2 = 5/3
The perimeter is:
P1 = 8L1
P2 = 8L2
P1 / P2 = 8L1 / 8L2 = L1 / L2 = 5/3
answer:
similarity ratio:
25: 9
the ratio of the perimeters:
5: 3
if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00
Answer:
A.
Step-by-step explanation:
it is the only one that makes sense, because it deals with 8th graders, all others include gender which i do not think that matters.
4. Suppose the length of each side of a cube of ice is 4 centimeters. Find
the surface area of the cube. *
Answer:
96cm^2
Step-by-step explanation:
cubes have 6 identical sides
4*4=16
16*6=96
Referring to the figure, find the value of x
Answer:
x=23
Step-by-step explanation:
solved the variable
Answer:
x = 23
Step-by-step explanation:
All triangle angles add up to 180 so:
x + 3x + 3 + 85 = 180
4x + 88 = 180
4x = 180 - 88
4x = 92
x = 23
At 4.5 miles per hour, how long will it
take him to walk 18 miles?
Answer:
4 hours
Step-by-step explanation:
If he walks at 4.5 mph, then it will take him 18/4.5 hours to walk 18 miles. 18/4.5 is equal to 4.
A regular triangular pyramid has a base length of 4.6 centimeters and a slant height of 4 centimeters.
What is the lateral area of the pyramid?the height of the triangular base is approximately 4 cm, what is the surface area of the pyramid?
cm?
Answer:
hsjsbdjkdowjd nskdkndbdndkckdbnd
PLEASE I NEED HELP
If f(x) = x/2 -3 and g(x) = 4x2+ x - 4, find (f+g)(x). A. 4x2 + 3/2x-7 B. 4x2 + 1/2x - 1 C. 6x2 - 7 D. 4x2 + 3/2x -1
Answer:
A.
[tex]4x {}^{2} + \frac{3}{2} x - 7[/tex]
Step-by-step explanation:
Add theses functions
[tex] \frac{x}{2} - 3 + 4 {x}^{2} + x - 4 \\ 4 {x}^{2} + \frac{3}{2} x - 7[/tex]
Mark and Doug work at the mall. Last week,
Mark worked five less than three times the
number of hours that Doug worked. If their total
number of combined hours was 13 more hours
than Mark worked, how many hours did they
work in total?
If Mark and Doug work at the mall and their total number of combined hours was 13 more hours than Mark worked, The number of hours they work in total is 47 hours.
How to find the hours worked?Let x represent the time Doug worked
let 3x - 5 represent the number of hours Mark worked
Hence,
x + 3x - 5 = 3x -5 +13
4x-5=3x-5+13
4x-5=3x+8
Add 5 to both side
4x-5+5 =3x+8+5
simplify
4x =3x +13
subtract 3x from both side
4x -3x = 3x + 13 =3x
1x = 13
x =13/1
x =13 (Doug)
Hence,
3x -5 where x = 13
3 (13) -5
= 39 -5
= 34 hours (Mark)
Total hours
(Doug + Mark)
= 13 hours + 34 hours
= 47 hours
Therefore the total hours is 47 hours.
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help please i really need this done
Answer:
x = 33°
Step-by-step explanation:
x = 180° - 80° - 67° = 33°
someone please help me with this ASAP!
Answer:
foreal
Step-by-step explanation:
there are 12 eggs of the same weight on the scale. the total weght is 620g determine the total weight if the number of eggs is increased to 20
Answer:
1033.2 g or 1.033 kg
Step-by-step explanation:
(620/12)(20) = 1033.2 g
helppppppppppppppppppp
Answer:
X =64
Step-by-step explanation:
find the least common multiple of 10,15,25 please no links or photo
Answer:
150
Step-by-step explanation:
The LCM of 10,15,25 10 , 15 , 25 is 2⋅3⋅5⋅5=150 2 ⋅ 3 ⋅ 5 ⋅ 5 = 150 .
helpp i beg u its due in one hour!!! plz
Answer:
113.1 cm²
Step-by-step explanation:
we are given the diameter of the circle (length is 12 cm), and the formula for the area of the circle, which is πr², where r is the radius
so first, we need to find the radius
the length of the radius is half the length of the diameter
so that means that r=d/2
r=d/2
r=12/2
r=6
therefore the length of the radius is 6
now square 6, which is the same as multiplying it by itself
6²=36
now, multiply the radius squared by π, which is often substituted for as 3.14 or 22/7
so if we were to do 22/7 for instance,
36*22/7≈113.14
round that to 113.1
there's your answer :)
Hope this helps!
Malia owns 1 out of 3 gas stations in Jasper. In Webster, Abby owns 6/25 of the gas stations. Who owns a greater fraction of gas stations in her area?
Malia or Abby?
Answer:
I think it would be Malia but if I'm wrong please let me know.
look at pic 10 pts will mark brainilest
Answer:
B. 160 minutes
Step-by-step explanation:
200/5=40
40*4=160
Answer:
160
Step-by-step explanation:
You would have to divided the recent pages (200) with the previous (5)
and you would get 40 and then you would multiply the divided amount page with the 4 minutes and you would get 160
How it was worked out:
200 / 5 = 40, 40 x 4 = 160
25 - [2x(18 divided by 3) + 2
Answer:
the answer is 11
Step-by-step explanation:
if you take 18 divided by 3 and then 2 times that plus 2 and minus 25 it is 11
Which quadrilaterals always have two pairs of congruent angles?
Answer:
A kite is a quadrilateral with exactly two pairs of adjacent congruent sides
Step-by-step explanation:
yw!!
The row of elements increase from left to right by number of
( neutrons, electrons, protons or quarks.)
Answer:
protons- (i hope this helps!) Im sorry if this is wrong!
Step-by-step explanation:
I think its the answer i have the same question and i don't know it so...
The list shows the numbers of employees in the nine departments at a company.
14, 23, 6, 54, 30, 26, 17, 3, 26
What is the range of the numbers of employees in these departments?
51
18
26
23
Answer:
51
Step-by-step explanation:
largest number - smallest number
54 - 3 = 51
Answer:
51
step by step
Explanation: The range of a data set is the difference between the largest number in the data and the smallest number in the data set which in this case is 54 - 3 of 51. So the range of this data set is 51.
I need help fast please answer!
Answer:
B
Step-by-step explanation:
The owner of a store buys wooden benches for $50 each. She marks up the
price by 75%. At the end of the season, she sells the remaining benches for
30% off. How much profit does the owner make on each bench at the end of
the season? Show your work
Answer:
Step-by-step explanation:sdf
True or false: If your expression contains more than one set of parentheses, you should evaluate all of them before doing anything else.
Answer:
The answer to the above question would be true